{"data":[{"name":"Protein-protein interaction","means":[[32.55505041383375,29.365576457315793,25.107261206689568,22.561788761105372,18.471041600220126,22.696412323905,20.291910153121695,23.068318512604495,24.130660117444222,21.53492408357568,24.65671332803134,27.188948708616728,22.065299640312915,22.121828053818348,25.483664310647832,24.549040706210366,20.18455816864252,22.36051606668432,21.7748106543187,21.617504374115395,23.36389421754276,24.552420011638624,25.242594109723036,22.979912963640523,20.16664328435407,18.724189863956035,16.77075385621544,16.388159656475757,20.07506748565634,22.2523690031393,27.847022019493863,27.55317922826313,32.0257699989883,33.31132276866489,29.278942135820195,25.723330403290127,24.91735169294056,21.289367342489726,18.27703791956563,21.68203533417697,16.97095765478166,20.48972767827797,23.78729211119668,21.262821380968333,21.495999161409983,18.568481242672544,22.189713796957268,23.15945071534244,18.102780827964594,20.86288600227048,24.526311621723323,23.51177849018908,28.18422212906524,24.053090909353777,30.19492938540616,31.7946740426629,28.156364772898108,29.49897561297813,33.89699404815541,32.57136374262363,29.696730391351625,33.27228518341429,33.286640604890934,34.154731050072165,30.35777823661746,27.86542336477304,27.18062688265799,26.698584890488654,25.732061453824024,26.80725086369331,26.19780928709308,29.65930201225957,30.57607800161497,30.84798863167417,30.35063586247272,35.30951625429831,31.83974355273438,35.56429840860423,32.633090996277694,31.239840971470393,30.19743377179575,27.33721510114774,27.264922318350596,25.401600902258053,21.200213805534172,22.731535178109667,24.403584060388667,28.048393134691054,27.53244129632223,33.17368772634309,32.036512560250735,36.11522257104259,34.62296360373406,34.16386595832017,30.588499310295507,33.35684051142674,30.22161326116426,30.90178145526589,29.541533392454543,32.73943576311896,29.35652009787881,28.923566233940846,26.332217532976014,25.325351222806542,23.707436020522245,21.67533269742521,24.305320311764707,21.72963042623318,20.929423637381255,22.1711757251875,20.319131399377007,16.910327213727616,17.79898706528894,13.761930372013634,15.641080107288236,12.525004142180842,14.368895483727217,12.101511900177135,17.45953253277763,18.999962767007144,18.170995882074873,17.855451765651555,14.344292921560964,14.177311532190942,15.892921567793126,12.061748145876072,17.172303394052566,14.376529953701018,15.869519212912225,16.88661152455188,15.80406986633263,19.258225474994703,16.26121720616324,18.407740207349203,12.759907775934098,10.757397136664899,10.176922737866855,6.910124628039758,6.0621329937711534,6.212099609855029,6.511738120823707,8.742672359007287,11.235536061780738,9.89465507326856,12.513929380248829,15.27372226075365,13.225405863392725,16.38015410825421,17.46179241641763,20.023646191806048,22.827313155547643,26.437449881677573,30.120740139498725,33.56936492380184,32.83167167686767,30.038534380364833,26.332330886712285,25.054909994891435,22.834628943239476,20.13165565757652,14.860553626480266,16.613101210366136,10.842585515234052,14.700940423772996,11.265700266649418,6.466435247014045,9.270422214191765,9.337650060852075,8.818866084317442,5.02566924732395,7.444530600784893,6.798526792304592,11.488425956813254,15.012271663945835,18.082705489952456,21.635286345061125,22.170567448475918,26.246166194619978,22.48875598800355,23.4072589659238,18.40247910205736,18.66990279439379,19.333568413735616,19.481656565297644,16.06720912014293,17.94338481273166,17.82542418021731,19.856050067769196,16.081077278559285,17.25714672841156,17.255525349200845,15.936392361890745,15.697654879797877,15.195441444581824,17.278365572934984,19.339917848652053,16.681076321542136,20.354380501851495,21.347633673409256,21.928083649126023,26.550213960527323,27.376399744448392,24.133191548840593,25.904307120380185,30.049880899069407,28.98346361050159,26.552520793602106,30.6466285977281,34.16555556738848,31.43760549431971,32.6117677818959,36.240799837632345,35.77679653349764,34.2468105622782,37.28515983470137,34.768683094652935,39.50597551016282,35.64467399932637,34.76680953393186,38.52462383516992,40.02821848321143,45.16964099117209,43.86397903326996,42.80951945976957,39.732388321035614,40.39885733689622,36.89134234382039,38.41843967795417,38.64875816986883,33.146546876461386,32.89955747512886,34.83312426903233,32.25286620204726,28.906675453151532,29.28911727607747,30.304604777459037,27.74872658060744,22.94888620101623,24.857161905059144,25.257890598446213,28.933708102303036,31.7993462336179,33.00828690640538,37.48957886683394,34.130545711429555,30.88098431534663,35.97974821919448,36.87753865714352,32.49614149231165,33.53465252347947,37.814061053567656,37.497282886469655,35.23430258428607,39.38007329849672,41.55459264106878,40.03732353275119,39.78796649909523,42.66219395279196,40.02514059040748,40.301984101443736,37.02698186871574,38.90297220589228,40.18930193916446,34.92051579799047,34.588569940641456,36.99039912941086,35.394076360733855,30.91801166861441,35.02126257964161,35.97790599655299,31.226175018868233,29.428844921083932,34.102797345890785,34.506632401213885,31.230617893831333,29.39271349567649,32.700336627498956,31.319740009763578,34.369686280184446,30.618309819895234,29.579985721632315,28.99193627557776,28.00785189024208,25.605966486452164,25.58034065899187,22.74495952675202,24.36718234280888,20.361266836161047,19.77661698595545,17.412085578900566,23.967686407346015,24.867167516270804,28.18140323748296,29.02053485229636,27.877027543424706,31.050936973172266,33.55100888952565,32.300111282803854,33.65193510442395,36.63572295688118,38.84036371121977,40.262272009106894,39.788228435702266,38.95398880129969],[29.335060182288863,26.105852332852894,21.911558897110556,19.276974370848713,15.501130763477233,20.090904292363646,18.158734396378424,21.392642357474873,22.546795030975,20.480833981505853,23.878397294003147,26.471510859989596,21.81246217977189,21.72099372500633,25.601525922188387,24.932446175080855,20.799672455692452,23.59702717229317,23.561077427106586,23.746393113662837,25.82554281253327,27.383632872581806,28.143198734294078,26.009172015020006,23.13139384702067,21.252656391664814,19.15373346712553,18.076297631754592,21.45273531015481,23.177341155308856,28.81551042577541,28.269708130874562,32.789471255027706,34.54999890919058,30.618171026930142,27.280737987256373,26.235269507727345,23.28807175735484,20.559460193996756,24.301207642317312,19.89006268572628,23.27676315459809,26.766453693987145,24.493105748673027,24.896753975032283,22.07022631565705,25.72466475277211,26.598031066509613,21.468881067930184,24.26778349688396,27.820536962331197,26.692116601245512,31.31912580123139,26.98879734088721,33.00957970633227,34.883039488713926,31.262642908285503,32.264643046472116,36.78389395342059,35.73277877409838,32.6717235293929,36.009280433526506,35.73131239093283,36.80502850247551,33.15627821497386,30.401823973080585,29.432390065858336,28.55085556044539,27.314789378927653,27.884350569223482,27.232096191047226,30.663151213808913,31.765098704373496,32.54802295115272,31.911266967818573,37.14861256712806,33.93273489992972,37.53048315696481,34.75201812934064,33.65815630470696,32.32740935515094,29.661961461363678,29.027387437521842,27.384956053818065,23.38095064577441,24.643990959201968,26.62762204167898,29.82125367550512,29.52022318995797,34.87577829231798,33.62507646451633,37.65257327467478,35.8254807743473,35.05819487866007,31.175082027793287,33.70740949268958,30.264739194067545,31.1039989531105,29.38971004714592,32.27505399104862,29.547236124533438,28.71809719687523,26.805852312425323,25.2680901715289,24.11040834118323,21.36474674322572,23.805138130525563,21.105617197263914,19.61180042137981,21.042155307057822,18.664823836154184,15.86238697018077,16.45445041908043,12.829954141607292,15.251644202544291,12.412722424518678,15.169511793451479,13.253064013341222,19.125684661598434,20.10419763100727,18.786650778194478,17.876146257116343,13.932812914630869,13.15405385188638,14.233104871316625,10.256951769955394,14.946361460272449,12.655658757438633,14.344035390379219,16.36046578667125,14.632029056712984,18.61951103466271,16.29667572486746,18.729291246148808,12.89890210869457,10.464765429718687,8.463310139975059,5.363702819936618,4.6599500908087155,7.02133587652041,8.24384467851727,11.669637198507466,13.714666279184394,11.88232479059805,14.823269947592847,16.77693775087976,14.209013650330348,16.69182018677945,17.293313745454917,19.209396041151898,21.75664182701905,25.21748714608549,29.046242222058513,32.1518360541372,31.82933901999997,29.36843467303259,25.837764445322044,24.538690388837324,22.880023025584027,20.00943007520383,15.350191274127019,17.92020067408507,12.652531799007104,16.88674501808116,13.84577498847003,9.459338028403122,11.36657557220491,11.558220197993261,9.7378793855973,5.982385915018217,8.172322934518762,7.833862181106973,13.068332580847082,16.41462180655788,19.429559722352124,22.588952244828423,23.10049334534539,27.368058773598992,24.082590085724874,24.775065908993675,20.12113517899042,19.357007116843114,20.520737423358206,21.02209674471179,17.81074889993832,20.451676513031902,20.581221323908693,22.862947331073176,19.420853420450346,20.17133664652079,19.87117892508766,18.267761992550753,17.337235863191736,16.134163230412863,17.659174426372203,19.076860177025182,15.691757558020933,19.116943154334216,19.42218077206714,20.152771865415428,24.582237537795127,25.484863542859483,22.018917166954115,23.399002154324574,27.68539613465581,26.52962467749171,23.62295081206369,27.825283048164206,31.59403547383952,28.592286414094147,29.57063772733069,33.290850305193466,32.922509702198006,31.145301865249884,34.093917395073404,31.524214519729615,36.40043663699261,32.41919535272067,31.734422826889467,35.58998192190178,37.28420216729893,42.37258458696162,41.27952081670162,40.48579070234091,37.59199869061955,38.54813374063394,35.255719161740195,36.95160786231896,36.83124746524848,31.19504460707487,31.380438307592794,33.3015933261765,30.347706341988285,27.169825868567223,28.019108630231983,28.618503820143896,25.696066769803533,21.460185075732802,22.834406276938232,23.96641948422428,27.664075350157972,30.214904958558055,31.78060902216455,36.18242698474364,33.01729828188232,29.442772571591554,34.266590988989954,35.37915429961202,30.861644146170985,31.505708253866366,35.81018959642872,35.46271197630613,32.924151204050226,37.05544202732471,39.24615562534044,37.549321233374,37.142850268982826,40.086633514390584,37.40886425828434,37.92466133437178,34.85132510018132,36.78017008225999,37.7178814779299,32.346015287393456,32.32383515231437,34.513081088316135,32.69772041677036,28.381183684787004,32.68164401506825,33.293172019062034,28.381933928143123,26.948583260962327,31.661864620648732,31.747106142638525,28.30832196658639,26.222238904744113,29.54937325253292,27.960288779667444,31.026246179263236,27.185985677380096,26.31605863044135,25.72742522563373,24.54337333738525,22.194313309527278,22.186550902689184,19.490520854633836,21.41188654065755,17.472627444388166,17.44732060129609,14.97915133835786,21.447743187448165,22.889370070673944,26.207790486674828,27.403066938724855,25.82020813348175,28.72113002621533,31.540982247076894,30.47810270762203,31.254475694551047,34.320783562830364,36.74418244072493,38.18597584887242,37.78962121868745,36.97561477246073],[26.955228504823836,23.775409187693608,19.947179611692018,16.846839339498572,14.17111148557571,18.856542741979844,17.557078469064713,21.3770733944818,22.22289372640695,20.58380633496022,24.103414020705298,26.96229541244098,22.827315944153987,22.188792358074394,26.576046204992004,26.353152806309264,22.364073412567627,25.493671724795316,25.60671320665823,26.33844867693131,28.441864207761263,30.405943820017637,30.98025607056044,28.80393901863804,26.11847409101007,23.846843552249386,21.97919271018178,20.48767533207028,23.74081789162632,25.303300407632136,30.61148168172719,30.201858101527083,34.6702469751845,36.74594371414807,33.013459381118444,29.75419117446353,28.815017666933382,26.2531932551745,23.791612803518607,27.90951032477653,23.43536044953084,26.515386906780957,30.19948192277059,28.026043454899224,28.290510135200137,25.48666958929772,29.15328957385303,30.208846645771015,25.200811458621153,28.009913314297577,31.646845459438225,30.51192626285426,35.10703495556636,30.714322303372583,36.723716405271844,38.58105361994081,34.85878659730464,35.73907182132863,40.30391246264422,39.26761884258413,35.98646034765556,39.12107974919485,38.64585209331811,39.633205036498,36.13939656490304,33.32848665936558,31.840463402531224,30.7951753026573,29.060230593545022,29.29708377110701,28.400378925206912,31.624997334291496,33.13226923274327,34.35187800043618,33.880979163083275,39.35960834024986,36.524960585940676,40.13631948483147,37.608541084362464,36.8146057054378,35.483344231858545,33.08171711381964,32.21660077985631,30.8207838034335,26.90718042827377,27.858332749697293,29.805281102416828,32.750210248598236,32.30402894225061,37.4539611438248,35.91917441750099,39.74747258167838,37.667080681288226,36.761793786164375,32.631200392273996,34.825081420690104,31.107892976594627,32.42292871066384,30.521186229698298,33.29202934963522,31.250491211839662,30.335289525333053,29.030653073250768,27.278228840144205,26.695265767551245,23.418065141254,25.735926940659464,23.019608879531052,20.843110884710985,22.348633201804546,19.361199054849365,17.22374388941159,17.12583964733859,14.002195597671362,16.306374567088596,13.600464792093605,16.83020652948975,14.880996271678153,20.87953867810542,21.670730665378823,19.76572380788718,18.53766761958424,14.13450966965735,13.201514705150935,13.904545745151227,10.61452160995307,14.793112667271538,13.541658751860886,15.525324496992031,18.48342610507339,16.238502822251554,20.568286226733036,18.860000284825922,21.48959045496268,15.713014142840933,13.067001252121019,10.023385798212278,7.56291072356042,6.343087674960487,9.790785708266494,10.362509532170055,14.469860490731778,16.491040188460808,14.7402034680696,18.00909996117182,19.46794144495214,16.62890842178655,18.682473569324127,19.11825886891993,20.223932113962363,22.68050695152271,25.688835894058816,29.801285155658803,32.383818658443744,32.345464616938486,30.366458987965018,26.973054523823254,25.92242165342745,24.6663833571929,22.027860377002465,17.983218339922,20.819860974061857,15.944429528446795,20.401670247700682,17.675259864330297,13.3403538744661,15.045802868280264,14.885862560073448,12.61823912185436,9.392499942539345,11.523908104889527,11.357909368518552,16.60989722116252,19.759094920780377,22.59866134665667,25.464916619994337,25.730211981524572,30.231599908208157,27.32033647983909,27.9769275674624,23.618520410333172,22.278969366608504,23.798426499141744,24.468092180351203,21.39343195261893,24.275102882260217,24.379936540124653,26.74727737529808,23.208822646439405,23.97090192136608,23.4792642922971,21.964070517586748,20.671728634172474,19.15580058443597,20.29017672586506,21.10517914445758,17.225763839623284,20.339645381141775,19.839267909338417,20.836982778828975,24.877692528067747,25.893527841346657,22.195501220278906,22.951996643942408,27.378651418676785,26.084205842863124,22.407032801614047,26.75706952143831,30.893834540305765,27.39526576910753,28.017630814684512,31.887791645749115,31.61772615185244,29.340901956838458,32.152643613508594,29.513064481364715,34.678029910578395,30.404865473366442,30.181035753389693,34.19950858987625,36.158338984811095,41.11886909624448,40.34587599982508,40.009041187937385,37.39322507118015,38.72613889752801,35.774407695202484,37.58055532073666,36.98547208699578,31.30155882806832,32.01560921157481,33.75315962613403,30.3652105032099,27.516685199917447,28.834679867447296,28.752572068162156,25.458484022665573,22.123033196701172,22.962831312333932,25.067247101020364,28.697709927127992,30.893521570369103,32.87402356973494,37.14794286768689,34.23336985158465,30.342946787428325,34.7667213078226,36.11650461535026,31.478355275827745,31.617937733262732,35.886011859693745,35.458911491452,32.5741556901284,36.674468417181934,38.83570907969636,36.82536612622983,36.240150946071665,39.297778670826496,36.58707232923459,37.47501672587119,34.72675965064683,36.6844299233532,37.1034044168734,31.636296272449364,32.05790238062198,33.854294465265056,31.723479376620183,27.70384357030315,32.14465103621182,32.17128321281409,27.088405486207435,26.20336733078085,30.7924926351645,30.325120733905102,26.68423959270893,24.24919438371274,27.34086199408701,25.34060341699369,28.622930331421074,24.65903588371093,24.317844638601425,23.68203518651158,21.925329228012327,19.815754793316657,19.727912726549118,17.483582947451247,20.11642904077616,16.50229955702579,17.462209545174897,14.910894420541819,20.934966844716687,23.11290118495073,26.408396225040526,27.933782679076327,25.716897937084266,28.284553273423185,31.502659969998895,30.520260436122992,30.527730688072158,33.779754258275645,36.42031810147398,37.802799693212314,37.5230243195854,36.705213033458215],[22.28416850278753,19.072808528087016,14.81830268673841,12.421246130969736,8.209747004951508,12.941349813623562,11.628993863401856,15.283742237307962,16.92075345675999,16.158950911733946,19.91166999792712,22.11844013043078,18.624351720401684,18.870702406754887,23.25746964778112,22.854802874856972,19.691031477688117,23.638490357299958,25.153653908742555,25.564505643709694,28.550031786108317,30.673737507245413,31.943905439136838,30.48703247837002,27.15148439681361,24.57265800556289,21.828743050002398,19.40474657642183,21.610108648228586,22.04357015272303,27.744971446958374,26.352305243080767,30.808167731374958,33.52861014979059,29.879500477209554,27.274632126982457,25.563491859081264,24.36194942744918,22.432300955766227,26.746833617865896,23.36293844817019,26.3729323494917,30.1413602851267,28.727493266267963,29.933389977517354,27.700981701995754,31.549306529780157,31.603173940958712,26.348030054599047,29.712045308671136,32.59132791190814,30.84481251668186,35.11749910116979,30.217711117377448,35.742851295187656,38.34147235154985,34.84245797339163,34.782106378820686,39.53892259494189,39.42234720622849,35.93111113632462,38.57352166366067,37.55786274727729,39.40590133734373,36.17515247581248,32.70197294140491,31.57621105185686,29.662975723426218,28.440739707079885,27.820993083355745,27.532062314309627,31.01622943967839,31.914137467836067,33.65811551116371,32.29339166908356,37.872387012917784,35.076138844304666,38.134447362508624,35.66477335174864,35.258748139028945,33.180197417871135,31.095683535156304,29.177997535645975,28.250008546611205,24.88695960503786,25.33533407960443,27.969162015702462,29.940055577254103,30.329853368717412,34.81333640158773,33.572165749171035,37.52963622860229,35.0553716855507,33.54545993115902,29.232964606601733,31.358672635361774,27.533664527726696,28.190693143198263,25.768729947692812,27.812986809785556,26.367938101440267,24.763548084318497,24.27076028445486,21.877688212035522,22.043192568908434,18.100865157348156,20.46266109376617,18.18899527782687,15.362755101216397,16.392109371607283,12.99323404278506,11.3723350831179,11.194340510016414,9.111352574324487,12.685474502185894,11.464911641756165,15.50418953327556,15.2710360110711,21.366966020719996,20.66386706984911,18.999615553964436,16.779499483373986,13.244285376753993,10.70689842231056,9.603751103305123,5.467854339200695,8.235865303650804,7.444711503247982,9.92630456186309,13.807520063630848,12.294119587386346,16.95310299974588,16.4104480934095,18.09548456197021,13.102198497120172,9.613561580534743,7.324496804219552,5.178890786935614,5.8373945865121035,9.345667265686913,12.887826270602389,17.05165523933115,17.473609196238577,14.612557130339724,17.432297228937728,17.461540066733896,14.284333454245496,14.851275323540484,14.271920494979645,14.741937769895673,16.56485272459254,19.647687340550334,23.55285900414907,26.074795251403405,26.456128248137034,24.56741629275819,21.53700085508871,20.200421417385186,19.74889771749676,16.842065747420996,14.05740122531366,17.87207962526481,14.487091887206129,18.889115684410875,17.453639203106984,14.614560438706217,15.799321001299752,17.330491478104264,14.482984321816831,11.17184346204765,11.409147412539308,10.355055934151583,14.86925637083203,17.121380494603464,19.453443229432064,21.493892929335992,21.752762607504017,26.2387561648261,24.22739401354137,24.57490772903784,21.23981603601469,18.462202118074536,21.19399949988394,22.775928773685745,20.00395710738648,23.57610437574364,23.783375012876903,27.05616226662837,24.821636315470883,25.017885000104858,24.849812982585153,22.25670744124543,20.900183159818106,18.665440750987408,19.13641024979634,19.70193565582276,15.290983770020615,17.43862375125997,16.306128960227987,16.10462758208558,20.337302194396177,20.509190759318468,16.577534060358413,18.052925674544117,22.241330015609304,20.306929795208468,17.215389841108113,21.78055473912741,25.295347161534785,21.703101082701217,22.84343468565674,26.605664388676573,25.876952710288474,24.053731413492727,27.29531571773916,25.00909046004691,29.976961846918957,26.854314873771486,26.02845494826672,29.842590320759868,32.269308797564335,37.24585419586197,36.66236564610867,35.856492520557694,33.35853107605746,34.727778238131606,31.525042411397347,33.998171348400625,33.62786384934936,27.56455459831155,28.494391959655594,31.115064545120177,27.698574578183607,24.61431021555527,26.531989688015635,27.166079124269693,23.590299110953918,20.203136892545036,19.699560847894606,21.27293012443064,24.951439950375697,26.403213466202082,28.132046553801732,32.0800639434735,28.937514789011846,25.158050272811984,29.36893240232243,30.35684130104814,25.53463643224867,25.854294313716558,29.906147933543902,29.248573284154634,26.522823036709386,30.876220126095305,32.797553739395646,30.70998725063548,30.52184702399171,33.71627043283141,31.26620981859452,32.235286787196635,29.482057273868506,31.93918390880216,32.386104104165575,26.749547722460388,27.58745580652794,29.841467373976002,27.629544255321,23.793103374750434,28.890617567058214,29.190805362350552,23.934981241335926,23.50515539319966,28.59765092690764,28.316232609483027,24.55461898685244,21.667355886130906,25.777259580757228,23.670150490535534,25.982931909586668,21.58040474273526,20.28576868096894,18.98794875856675,18.387781051732002,16.334777827232237,17.335865217250884,14.82487508084161,16.477938291819957,11.719783887274994,12.537558478728336,8.961297046209204,14.779581749802775,16.74555663343064,20.182529427747493,21.537831904105374,19.162285315324663,21.92835605651151,25.056242769001468,23.96200158311757,24.161011589259033,27.434256730655346,29.947679098781897,31.35351594297586,31.071428228570685,30.31245848072934],[18.164449270848166,15.178434140519842,11.990069202309623,8.132563856712423,7.4385875087498965,11.167457452451142,11.332659141737665,15.847677960997261,16.516101187540517,16.57086665281286,20.23351514515871,22.85399288394198,20.460948555423066,19.664720158978234,24.641603210683147,25.029675381037443,22.21258106842595,26.406095845797953,28.02602141689817,29.25215366900115,32.16484077313357,34.868126926407925,35.83502361458938,34.344312256268566,31.31360284415134,28.218693543320548,25.925162002667072,23.084112586730296,25.105395330633037,25.409209450930874,30.266307233839193,29.281770375734,33.49113596623932,36.5888659089008,33.36993433872017,30.88540661115278,29.537679655197532,28.7866178532229,27.26412765095444,32.11375833238166,28.489315712177145,30.977089896596354,35.019932321662296,33.738479496500574,34.7075301678314,32.535571004238285,36.45598566305001,36.754981942334545,31.702082222165185,35.19831844170714,38.23621970821723,36.44636414656457,40.65991036912799,35.68141161387243,41.21849858010531,43.676362524551045,39.980482769159735,39.77369983258663,44.55206237610955,44.416496813925846,40.562824438020094,42.86292139504073,41.55592888304406,43.207806101082205,40.25641676098671,36.75775656301717,34.82925915689887,32.73112784726432,30.765793201956814,29.6573321281183,29.000510393956937,32.067612358908164,33.556464161017274,35.94355786312297,34.88498468549005,40.72957356309971,38.6021178439123,41.67071060487127,39.6581308967853,39.73012192482952,37.79239787052599,36.187174866438596,34.127162822779084,33.63520253277069,30.349970849859133,30.288449574746856,32.64787748708535,34.31155449469369,34.310774298641334,38.4276901280414,36.70403144223797,40.243864048853105,37.42549134740318,35.77031016436456,31.18275900221589,32.67426989048238,28.516274164315192,30.036902422609703,27.4660437725892,29.375045675237047,29.106301209445636,27.6647253902158,28.070332934214992,25.728167966695068,26.88355053233936,22.519189752535304,24.75446414273651,22.75208195155539,19.188240005500536,19.96923795492009,15.854511843999964,15.335934530953326,13.695544984401637,12.719606865152219,15.179681766747548,14.242050916735863,18.405497418602952,18.07771525080274,23.966188508718663,23.047040708753638,20.61630496351929,18.07235318028783,14.280437864688636,11.821035902231452,10.150662648381072,8.874551996039894,10.003269395231046,11.681815991660006,14.315940092199309,18.886613780572304,17.13184597769233,21.80718991846328,21.886416378952536,23.620066027590948,18.901879181361565,15.467074886576338,12.72984636454913,11.09269039001992,10.42763162390372,14.147944966690877,16.355317082738626,21.064050308085214,21.53684394278151,19.022485526880494,22.22167290365325,21.786586695672217,18.513431031977376,18.66295938262677,18.149078684467842,17.224543244393786,18.94152742102965,20.79256512542802,25.13162211370614,26.570850302080487,27.26287957358284,26.347260654928096,23.629191370394114,22.987574607786403,23.038417600142314,20.989311238815667,19.134100219986912,22.721738868700406,19.75752916362285,24.345504459598665,23.258146021578877,20.129313117186392,21.573203641100456,22.594854129650393,19.6487591635845,16.496394806130507,17.21120252905148,16.259918740306546,20.780566244340267,22.83162371663137,24.812977346435275,26.493463288447927,26.19705101320192,30.962418282307237,29.47742429417381,29.930957898500534,27.016119981014445,23.906570359662137,27.00604109783426,28.70305613966763,25.995134044263178,29.51643283026423,29.481224548510493,32.87914575372706,30.350101547164357,30.81779162883507,30.56207857057574,28.161317824631563,26.644298839605593,24.305013270683972,24.527105853976384,24.536063937928283,19.82889743861594,21.472153133425454,19.29413384179503,19.30531147036095,22.670148478143343,22.781561642420588,18.668506159875516,19.139531084474587,23.260138649762666,20.882796625212166,16.564290694825598,21.347323659004196,25.21323040391522,20.55226604387876,21.104918446367687,25.08611565809107,24.28122421104319,21.473670648522663,24.646640216033045,22.440153208722304,27.951353002877326,24.737248157514447,24.73487825625331,28.733460362121242,31.808670977468708,36.44383070507506,36.5317986342959,36.434679304114894,34.503163655050265,36.463983801696166,33.81773757753346,36.51789331905099,35.474371490992546,29.438276955405257,31.179965596066772,33.581129320798055,29.610261552914693,27.104551087457597,29.678315805440338,29.398388121617565,25.37352850980671,23.426449112708198,22.049814412067978,24.852857244775706,28.288695484458515,29.04729797881476,31.25751586487403,34.81721505466087,32.05596485564877,28.004707123133247,31.39049546845113,32.57734215003467,27.65781514041465,27.217338970813806,30.961375265581086,30.044740054590292,26.8537107536768,31.15810093546756,32.838523056000795,30.088832698789417,29.795074077801704,33.238031251230304,30.898792349354416,32.59961783658847,30.507869872937025,33.10601518179512,32.628103273275784,26.90788158105695,28.66638733435515,30.27864453655171,27.514579751895155,24.430890290208232,29.755860369407987,29.058170284166216,23.599579022425885,24.320636926589227,29.108769385895403,27.882763112240664,23.824333261155576,20.167323606429868,23.955560641817545,20.924159570041006,23.324210178537143,18.464157944597076,18.13011111038148,16.27287529197507,14.704173461110251,13.53523483508069,14.89592528045875,13.600483135951478,16.397152253048546,12.407135317109518,15.018179820771508,11.529558729601282,15.386397947483403,18.486866003813173,21.74199201577386,23.406168812035993,19.834503888287223,22.02008362574901,25.732144770120147,24.553039919882696,23.37256409207478,27.07011073831386,29.777643230667486,30.977816342643024,30.867577863308174,30.093441167636755],[22.702705989132195,20.176213270267098,17.191958470584545,13.411950825120746,11.432257050955634,12.897277424275384,10.730083647472071,14.602413382072118,14.108191898063433,12.259205038390107,15.697905592241527,18.9463432228547,15.497638744147757,14.091352823995948,18.979773331013863,19.4420420117684,16.062209623870245,19.9442445406351,21.27166255144869,22.81941763253608,25.614581704031302,28.627917925196876,29.465828767765693,28.151616560610062,25.20426454180228,21.78468885185527,19.744601690874337,16.758387988947565,18.98330434449921,19.88788890023334,24.29306013561726,24.134350524967935,28.328785764207815,30.987509403653764,27.84568432687845,24.99009537610298,24.3537080060842,23.14011970315664,21.859314836441676,27.335940510340404,23.306086100948495,25.117668556775456,29.388220963188733,28.37352872089985,29.316984469077184,27.600984618493445,31.660193868403198,31.76890841887027,27.134847661190403,31.245999875304257,34.144587339215896,32.032166102454894,35.98735984679338,30.92168579245378,36.519297448609834,38.571177897007246,34.612278520566846,34.33428450631869,39.06149243861689,38.821631584288696,34.61755693314077,36.67796801259251,35.3035847030436,36.70423211433731,33.89719617239791,30.45894799205705,28.137845933803387,26.129416615871595,23.955348472152277,23.03664590347861,22.271139539026315,25.409016264230424,26.90931163347623,29.156709898906552,28.337216324961283,34.20556433761143,32.236627166319,35.52526284318784,33.70320719191534,33.945833835747955,32.493723048219245,31.281875295212657,29.786999179622864,29.674442000449453,26.13525927284682,25.524276067600738,27.192012352706346,29.122094053623417,28.365742960378526,32.64566122884766,30.58101817466367,33.98848334594419,31.332518474134737,30.049890436061297,25.570187379912927,27.212321215401182,23.193071412929495,25.172505201285528,23.205302934583557,26.233564105727428,25.110081623570093,24.957513405407706,24.467249021361496,23.5019359565441,24.98292462427152,21.416461413942134,24.74864981381619,23.314035357474772,20.54798242678255,20.322889784440193,16.578607019004664,14.041350646111969,11.581427214184961,9.025485338057933,9.641483818611727,7.906300473810787,11.8351572382327,11.490515684741059,17.19708974001244,16.2839924207199,13.78330396502698,11.458080300272595,7.442940409530955,5.360306453461577,5.729140687643319,5.8588742715603255,10.646325329847132,11.57801993875492,15.080725045315496,18.61271107231183,18.524601861906625,23.035920580188,22.252994324252388,23.086956862461122,18.368017794908816,14.185019288544835,13.733317019524462,9.61308119362257,6.888020436973592,9.568189163573946,11.200089142181659,15.91478826259855,15.657210968641277,13.3916205865034,16.800388050247733,16.174341562395234,13.020312128407012,13.834658046175623,14.57203075878423,14.093956727333847,17.330666732979758,18.98214860143576,23.853328215037195,25.824566498904925,25.13210692815717,23.82815633780295,20.38288469252489,20.500744551007877,19.257580211755602,18.424441960326714,15.80151021974097,18.13368159030399,15.205171324892046,19.973105966535336,19.847696884177108,16.978898899912114,19.772661175066006,21.187449341636203,19.352581493282344,15.403820075910108,16.166288354222935,13.837139880680398,17.959685888585042,19.770133365288903,21.271099469705216,23.296959278961605,22.11810974496384,27.371640187516633,25.694079528729446,26.864090053699684,24.049159924777705,21.902064177923123,25.42574399542046,27.184521582022718,24.004208958873964,26.401663274029275,25.386452144683933,29.294470621056316,26.6794792098525,28.064246425750696,28.592712989115462,26.190041351446133,25.79111809232829,24.13705915671869,25.108940613949315,26.173517873814966,21.96943452460598,24.163013663866032,22.9972621392152,22.275288019571402,26.498339723419136,25.99470626557597,21.919162343098726,23.718092618749147,27.641483161829097,24.873497184060216,21.721774205537926,26.57600824150684,29.656674178863177,25.13085873915375,26.39074163973637,30.207092945225092,28.69373682124245,26.39631993831387,30.13850420373843,28.324441703193518,33.65287414678247,31.157876669631424,30.72782318058369,34.54663251984802,37.629295218617074,42.37485775499834,42.278253186934045,41.60787457214221,39.39117026375015,40.92566577270179,37.696722403058494,40.47568872137875,40.09758420860492,33.942190203339706,35.04284714195675,37.85916603700098,34.35469897742747,31.337035184996644,33.36574626584541,33.95665138659698,30.270359880963557,27.07691273914539,26.352531791598196,27.748427105135438,31.42176064373506,32.50450292425429,33.954335218311016,37.59537796118785,34.12389768715562,30.680352332470775,34.620786308379564,35.06714609548775,30.058469391237143,30.61981179692942,34.1743466547967,32.96715043670244,30.41284417105368,35.111845812086436,36.46920492224542,33.72546654175756,34.20913161533537,37.760212313123034,35.70877821385205,37.16157700098976,34.696591667623224,37.58209541803255,37.67581771104663,31.915597072645042,33.41015836144475,35.625188749500566,33.11076938570862,29.730029861140437,35.112573773593816,35.01964289782506,29.612022996416307,29.810857538471602,34.840190767619816,34.097126421928515,30.138421646389613,26.693008143692087,30.632516542513866,27.755019122564672,30.062343105033374,25.12979549628868,24.372301350599564,22.020549054681442,21.143577388679013,20.09827438727886,21.638681965815923,19.973355938163756,22.160476930350463,17.3411250764331,18.687127093178468,14.403267435706534,18.85933223823811,20.57822136225755,24.261832803646342,24.74034573919308,21.554774995597477,24.941319588260967,27.978864945938124,25.617193765499753,25.93842986624634,29.90880258019347,31.861817574991477,32.85336494691558,32.52460870570996,31.56621163572778],[20.226481658752167,18.20658262514817,16.0487982322054,12.13610308622669,11.370043584786819,10.503953887259746,8.45012201278444,12.32219432656474,10.811665330562473,9.543481853481875,12.840805275893983,16.218505011575502,13.904968317107981,11.979748272129674,17.161724861224826,18.179662726879233,15.634535517610736,19.872153285745345,21.94017768096146,23.859543613918948,26.91907641484402,30.331434632518096,31.273614169857606,30.362461462356936,27.406183984212046,23.624788020374883,21.592119980270915,18.04286769177019,19.438053444022493,19.711229943123897,23.385445419071626,23.21874860682008,27.10314581840223,30.205501505745705,27.51516329057818,25.095033621169105,24.51342617503909,24.253160520544537,23.611321812277602,29.412776496824872,25.80491062144571,27.075580164693495,31.447302370365186,30.940335483266246,32.14029323897009,30.82568542955947,34.93014291303436,34.70374818970468,30.25735736873017,34.68058744610325,37.27499785004923,34.8577653109007,38.507578964264134,33.2580875584087,38.53559212164725,40.7234594164504,36.76781669103687,35.94985218137864,40.681314378707974,40.84716108273766,36.33104196674727,37.84087698898389,36.020811463116914,37.64836468966318,35.24327928428391,31.55861502280989,28.889541841837367,26.374164612905158,24.004472669365683,22.307232379373207,21.6432568987322,24.54335767265204,26.059929278152367,28.96584398181669,27.936433204862315,33.913984902911174,32.49915390676814,35.4859662300065,34.086256974504984,34.87602288297452,33.29264819499299,32.6646249726595,30.749447058472875,31.223887316097848,28.037326089636128,26.774090344004115,28.38033330377478,29.620230502591745,28.866672639218095,32.47556033650677,30.192012081159262,33.27120471672474,30.24834601728617,28.647894057104228,23.983178935735708,25.110729056502905,20.87958234755286,23.259887284865,21.116408486841024,23.962564408278467,23.80434443956381,23.837104353051423,24.155866031881057,23.361589164698938,25.899243393869426,22.12770173819062,25.591023190492947,24.720776536275753,21.600720774859912,20.70967213257785,16.665973100426154,14.647001494075342,11.01404052901531,9.862407539568085,9.519292555632752,9.251385481345405,12.919323641512765,13.56256018039382,18.478345056073156,16.606452349075344,13.881844195781978,10.900662336513442,8.089627828007696,5.5279683887996205,4.230011007001426,7.619448130679046,10.5335806267037,12.908710813246918,16.581042758412156,20.36793543607449,20.834803911028132,25.26797218083851,25.064327922662976,25.351178342376958,21.242932652653387,16.903511436393444,16.889741466219025,13.164079142853401,10.891869646618044,13.03576112547037,14.836340933452542,19.357276834712547,18.388817418347724,16.09226395982178,19.218351942111298,17.617724712900397,14.586393822286833,14.34078612652617,14.860193161396587,13.082827532612757,16.2392185896718,16.764606281394915,21.934851561595003,23.22052501769434,22.44279551120652,21.82911966139807,18.667273779490532,19.450941902612872,18.65149835074298,18.74268183874728,17.343425223694588,19.526612189457207,17.79085491019323,22.335217427553783,23.082147028915777,20.7675866787167,23.541931871885755,25.289773815318746,23.378861332775433,19.470257684567144,19.87207527200578,17.30468832676273,20.85385398129037,22.054330099281074,22.947644892451727,24.354757756979584,22.62309609155157,27.988091050399856,27.085111065542453,28.3112923678472,26.31413849986157,23.65520934591943,27.862140809580264,30.014764661420777,26.97473883937076,29.350319496901466,28.09766600752833,32.44022555406257,30.234253783014733,31.65120295312661,32.37380705774566,29.707974382544045,29.39312150560732,27.578062573053305,28.321523569081354,29.230456156041665,24.890119300926248,26.577374842540817,24.959592391551592,23.69663688162887,27.642490348337045,26.560848331875796,22.454170831023855,24.37467835366527,27.937830230700442,24.569327216297623,21.564234919434472,26.448940303871396,29.043192609206265,24.013260511650945,25.41095701283344,29.111219300341862,27.066372813454038,24.662863389892703,28.70823879416149,27.34437167611085,32.67389654910279,31.015939468625533,30.630155101883926,34.29299548431159,37.896375323186675,42.4164571396145,42.72000872025597,42.05813834230404,40.15128529801998,41.873815385380446,38.71105263373564,41.88705427529502,41.44450986547202,35.20265437809324,36.618905425466345,39.76290981737412,36.14197050865939,33.23140495679776,35.647813615008765,36.28740776536411,32.421790740247474,29.63381568937361,28.166763435816843,29.555400544735352,33.107184692408474,33.574822335481755,34.925571730583314,38.16153315457089,34.6465596350916,31.360575167494705,34.81474643949681,34.95531668483534,29.881488805153076,30.39960663942332,33.51045672235675,31.944374516673918,29.475330421879022,34.308723280752254,35.250255562329016,32.09705627913038,33.01014637390639,36.75434758760355,35.04405072587179,36.85524121864351,34.69749050907412,37.934106365569285,37.70011430866624,31.92532526338194,34.00565256136475,36.21732578480707,33.4992722445573,30.599233318650032,36.27879641722288,35.96509255190648,30.52318988053223,31.335194650381904,36.383127884536925,35.39463421626215,31.357156335888956,27.505957523360294,31.63500606818366,28.38232965362798,30.18750482880187,24.96819584318556,24.176684881356,21.08629464898166,20.565675408958867,20.180094315738824,22.364968441559352,21.169700855855112,23.199865375505528,18.324555172639865,20.040697652725065,15.465947947865157,18.504578693243527,20.188304015724928,23.820254385806017,23.938429986235224,20.136293926381022,23.604358757094634,26.61313036766393,23.709862448840486,23.802412817234472,28.088748569778343,29.754535798665074,30.514082701441843,30.22795702360622,29.230622496435686],[23.062459553485265,21.49666033580323,20.03294795057049,15.796235659855844,15.894664016868784,14.362820716357563,12.276130927092476,15.50906742279617,12.713845729172146,10.502866184085615,12.812974847429256,16.887184044498337,14.666723267993504,11.273341688833149,16.37753024664879,18.077197829030702,15.399711461143827,19.028396255751638,20.52780685393758,23.250191049791113,25.864462476135778,29.72318660095096,30.220131173995338,29.306680240009964,26.82965416144924,22.717644821191634,21.439263077700783,17.96473996171256,19.473186817677764,20.310025538568464,22.763801797515626,23.7234899384433,27.26865602175192,30.050773303776005,27.75833836613091,25.111990956897728,25.414759370533087,24.835441291464566,24.481824273712473,30.65651051808327,26.61456733700822,27.158120230473955,31.665386312689392,31.265857899306198,32.11674665009665,31.05255657510488,35.134844296829336,35.107315708236506,31.15881754783839,35.78079681157517,38.46212943264991,36.00496633057234,39.475516860607996,34.33564695034942,39.64917371686108,41.34536460860102,37.15403538122815,36.415879263144554,41.00144605524561,40.90587841745825,36.08712332240553,37.3001258581975,35.40173854551871,36.5176398712213,34.392186324199265,30.961115356761827,27.476199476050734,25.159831509444388,22.02724711369762,20.325830187978525,19.120999429425304,21.538285184988403,23.693795537860204,26.824321814080264,26.449369489034446,32.46274134340177,31.653181908169113,34.85026409346883,33.89070227044334,34.978816079522836,33.9759851570124,33.784303248732726,32.38822700445099,33.1570103581584,29.83423530390917,28.183263783581236,29.045777100192097,30.44861874332588,28.825327767725888,32.35413743225841,29.51455486995598,32.095585791239884,29.113752389736458,27.881206124394893,23.315758191445173,24.0433039695764,19.8704941267323,23.336688466582704,21.79035154067321,25.349371439757416,25.178556043980674,26.2233143586042,26.25969756716314,26.367007156171752,29.15825235001822,25.802788581212614,29.573272962199898,28.87088254790166,25.972882081924034,24.852229700051673,20.957124326613595,18.516031171408315,14.650883687176288,13.103673486427857,11.048928864190179,10.268903365063206,12.791484292281707,12.990182759237111,16.90662753343613,15.282723197364723,11.987952021235914,9.517552464975612,6.990391638521068,6.566080698928518,7.519133062630853,11.454187553679724,15.0003858985951,17.158789302745873,20.886503064920927,24.336882266193026,25.042424745339318,29.438060855941774,28.8806376340376,29.06984515628879,24.860443783095107,20.47112628236513,20.73530218664939,16.47891296841631,13.4147800591411,14.978102431879027,15.251490251409583,19.54827868824239,18.474204879027038,16.93289110998774,20.168467378130515,18.613265203443213,15.979339646945684,16.24632878930903,17.606696785937057,15.860293560199993,19.547345462119555,19.387185207342725,24.744511766842557,25.74124027207285,24.23258472416845,23.927987468491267,20.611043875727592,22.17305265025523,20.75908686466753,21.843980913644423,20.192488384242036,21.39518400709162,19.656264590388428,24.13722822050344,25.201853134047685,22.744303745612488,26.146573072555743,27.605366463471032,26.20266106496083,22.146959345784094,22.924077261641578,20.125206758471744,23.57854690337097,24.76621900540292,25.41096361768966,26.97928577642901,24.648802108477447,30.2069512958361,29.25857919270613,30.912880342929203,28.94400515997186,26.91812981949491,31.108300290102235,33.13288083308646,29.88834352396821,31.598740729524923,29.78004637007986,34.17472417886201,31.6169619788101,33.667102749115415,34.65568617239383,32.273497892120666,32.38017896447445,30.918284222798956,31.974063996612394,33.14408082870783,28.93128581818635,30.874769324717878,29.41666880564168,28.233758547448836,32.236660879590524,31.13049418125661,27.038488779669972,28.95388677945759,32.50298052285637,29.04763678221257,25.97251843992291,30.85342216280353,33.4004820402333,28.17058860404999,29.48342909445736,33.159281300566825,30.939779526442887,28.32289555961096,32.38293914606591,31.158187184657905,36.58912285447234,34.94699830187686,34.82449584177762,38.507786862051205,42.23320220910862,46.65751685479829,47.099354403718735,46.564121967557,44.71492380007001,46.46844319989565,43.30741501869391,46.46177689581785,46.005538829056874,39.77675461570578,41.17147060547366,44.23983074556538,40.59960207458311,37.70524114240569,40.02194535920688,40.5635013733109,36.70753177371608,33.88388776067971,32.64556672735972,34.02482378711062,37.61299178004945,38.15605791010205,39.43048827991108,42.64618836606066,39.02770770241056,35.865213714227245,39.31722855572715,39.309048630521204,34.242624030492756,34.85609256507987,37.81556745785816,36.10478478364851,33.72886504528181,38.594839351162086,39.351244302951,36.001720024130385,37.10846691428465,40.92433766023987,39.33319624340444,41.279407237357795,39.20997763216422,42.49332445900987,42.15950753560448,36.39123839846022,38.57396251464499,40.70784952839717,37.916919437054034,35.09822961831788,40.752242849210226,40.27718971858427,34.81480044676323,35.69910839252589,40.66275416755104,39.497878314912576,35.41760475511946,31.49194391475792,35.341061081255084,31.856882935147606,33.848492147991756,28.598338857604855,28.205611582888586,24.980547585255767,24.117189978165253,24.049769639509147,26.125399367691553,25.20403120040103,27.554994781929473,22.826525943821455,24.603807809018114,20.04203450810668,23.005338077663986,24.562801688481027,28.189763797073496,28.00220041321044,24.137804838240882,27.714086601002943,30.59663089358695,27.263617318929523,27.442161590133725,31.879904068049775,33.259670822495664,33.80447431610683,33.49031678597956,32.414248547916095],[24.07291280004557,22.64483978427384,20.955304497760682,17.489643969735905,16.452843425438772,13.82262966563705,10.700939114819782,12.643120181741587,9.350867319774498,6.031444383548968,8.05478140895613,12.214384119630484,9.91946605618847,6.434622853933479,11.624787837895754,13.330608681725789,11.230813448767899,15.212623703812367,17.71785036590883,20.184208949179446,23.284353153291153,27.19073033873844,28.127841760604692,27.804985601837345,24.99425841995721,20.817292936120474,19.111179838694664,15.163460752382813,15.741233599948368,15.997645926151451,18.241610722248414,18.991078193285823,22.437811027323228,25.4016742020197,23.25851231155307,20.955196591258748,21.174445079087146,21.350403068617148,21.563414555845974,27.84581650811356,24.471600177429618,24.618050156691787,29.071042981494884,29.262213690530096,30.649056678782834,30.108052783769512,34.19487275608418,33.506156209827196,29.71574873267095,34.68224444233716,36.819532770159874,33.98170720044493,37.058230114265804,31.757479301667757,36.649308027186066,38.56733889977249,34.510592325341875,33.19118684597738,37.76832803124679,38.197651144754715,33.24007558136636,34.03192760690379,31.800075325990797,33.40554065270049,31.527349205663256,27.754100460271637,24.52914494817946,21.6541547455282,19.019276212931707,16.728086960745596,16.153250990526953,18.908933747869636,20.309773303582208,23.65598400180957,22.610945723686008,28.61778428140321,27.84717420956063,30.709204206675885,29.87073438677177,31.26594858744142,30.04421000742585,30.27288588196515,28.590116425012713,29.836805642490305,26.871999492571522,24.66274261962955,25.50709807284212,26.341902365478724,24.90621237484618,27.976410751465092,25.22290322667095,27.84754388384223,24.695448109094464,23.209870141671853,18.572277915552338,19.38694689227111,15.180680948250705,18.42600837170239,16.9274405798709,20.739345915199365,20.459659956841442,21.968630140173353,22.016891205738958,22.70368812209649,26.072748952104476,23.0953751991117,27.22246555766584,27.13780051035711,24.579232289613053,22.716952275303246,19.21666028636755,16.342498511370305,12.109187213296412,10.997249077219099,7.707752891173078,8.40437313621024,10.3386173182257,12.083404040221664,15.239202096403043,12.344578360393873,9.630250382771804,6.355436976804834,6.41811437479553,5.380700096663029,6.068306632420013,10.909465333163805,14.085275903242966,16.14778465676246,19.872590736957513,22.73138969497471,24.516035854092536,28.549585579424335,28.122839239733047,27.463751431336693,24.006969871916862,19.53193545106744,21.0744003414797,16.716791778456066,14.066979903549747,14.603465674262829,15.876130232326517,19.551632993995916,17.40031117873432,15.569331862196321,18.172381723849814,15.654390723030296,13.338392971136157,12.783673873682826,14.301500649165291,12.235029373123858,16.262488323002987,15.685212222570899,21.032049882486596,22.265264497946013,20.088745588832413,19.627676910213733,16.18896297636175,18.236251795539008,16.555770696987157,18.5701024104327,17.60314214220518,18.270861848289186,17.80073721184693,21.810124021232472,23.941207530969052,22.451790894031646,25.886890148399168,28.037602752360453,26.8714378225107,22.786596076141834,22.938160448958303,19.612741322285917,22.090277621649843,22.55338675579184,22.520527968780378,23.643144344652622,20.802650282976337,26.363259282744316,25.93977524202467,27.74872962718769,26.550899647786498,24.4739369859545,29.184541159653154,31.537901521322357,28.40971640309687,29.80743317481051,27.679702178886245,32.55325960368815,30.72824921032744,32.76003162263453,34.15894328477727,31.402436184072247,31.934255999490148,30.547925116851026,31.605969393667923,33.06703781269267,29.11359877230436,30.8115923488752,29.63050294677396,27.740633553865816,31.940791828580135,30.242380649376233,26.342096225503695,29.03230800917266,32.20915942383616,28.468397171685385,26.37792419138661,31.141818977051084,32.9400963503226,28.015597219959183,29.87680432654022,33.29190239012316,30.6220808961165,28.669575978849288,33.0618193185253,32.1609660359889,37.222297180776486,36.40763685986771,35.741528833734094,39.15893012028217,42.93152287559529,47.38858983021546,47.73197622670874,46.667181610086864,44.72647086184679,46.21919712806726,42.72775990313589,46.11421481276785,46.107520227572465,39.823588680254076,40.94302282049435,44.49235297670678,41.16491504451556,38.01195144498749,40.23488198563481,41.464246233496425,37.76301326243669,34.443180926458496,33.044984392352795,33.52003776656366,37.06995431129475,37.43627538962912,38.17819811366712,41.180408671544754,37.22147836007815,34.55580306463195,38.0529225392289,37.49682481837839,32.505822023486516,33.69785977889115,36.35676695586064,34.455843933727735,32.592528252059786,37.61066554742777,38.09473131686646,34.86691612487586,36.51650557748444,40.32353863887788,39.01045638520859,40.76027644274695,38.524550631041215,42.06026381105599,42.08406276622193,36.38525403192912,38.49958528727665,41.08375168691246,38.48606780443164,35.6369095111218,41.41107105473818,41.413082242187365,36.03855719602701,36.76795939851065,41.947663004322244,41.18439124165155,37.197348542321485,33.348567704992156,37.65744768089251,34.40216521956618,35.92518568422034,30.633254657873344,29.550731939883644,26.05212893590454,26.091724510755576,25.921314013223967,28.363445107454513,27.097711173383654,28.710059759386755,23.522387364616517,24.635534331834858,19.86873216184509,22.43931210791158,23.072031483035808,26.706980127548146,25.7699307749261,22.26629571661184,26.38356478492619,28.689575485059535,24.765453933785427,25.954938940853896,30.332635823934076,31.183288308119437,31.62759224401993,31.19751613998874,30.09325977684491],[21.53457830434128,20.673363393520315,19.723680730573367,16.807715168245572,16.47240026725079,12.017338286314521,9.470157587874533,10.500676774633469,6.052256598378692,4.887099920235019,6.1007535839886184,9.68655981476983,9.905887523947028,7.160808835287048,11.733888305723744,13.754433610604519,13.323838898404947,17.53151694882219,20.952804031655983,23.20851308596278,26.63047827452169,30.53291961669995,31.76242762171088,31.811574807219706,28.854545893120637,24.712158132711046,22.730788800127772,18.552969785700952,18.14769509299672,17.283287959285524,19.003718239102696,19.04390874827014,22.024531209426836,25.658261352809095,23.997102078379132,22.514048126494533,22.290565527193056,23.727003594621223,24.407537438636588,30.530764574664914,27.88420249289844,27.939042866910615,32.2583615534483,32.846115315115696,34.593821200803696,34.24866441526566,38.316120255273574,37.2707944898037,33.443566741595056,38.46913891100836,40.286393497035604,37.24989250214731,40.091436338911926,34.668775322586875,39.12188886017315,41.40527062646097,37.55951347026796,35.688259001404354,40.241800226475505,41.21715831943611,36.21712971491726,36.5674016747506,33.94716951186424,36.03118333855063,34.492578628998544,30.45287776633962,27.419426330512337,24.020344294048122,21.738064630022908,18.65131942149991,18.559842941673008,21.006060406913683,21.992358573692464,25.872367951223634,24.265126594027443,30.112319517861053,29.724647392230303,32.000272957373454,31.460003238422253,33.27627052119811,31.626011075496724,32.24941167913267,29.87981309152006,31.55076992491123,29.114583680147483,26.549663298099524,27.704326981178646,27.636259762032306,26.752334705059642,28.914084804842332,26.305992415939414,28.66766308450357,25.118678837027982,23.032249393175228,18.30935051403787,18.482478214754256,14.134032764344001,17.222855384053663,15.203820994363923,18.192272079838617,19.388447710637344,20.598083508260085,21.84421658362853,22.270330645124112,26.54737510485798,23.2991985228423,27.230886719538415,27.63926084619933,24.761027443701746,22.420534207586854,18.84753764260914,16.901777652164284,12.208302779850216,12.838550417662065,10.216762657830843,12.243929488642895,14.20414164260215,16.58427857224514,19.3439342785775,15.758469838206842,13.546268121513892,10.191848781135024,11.147906775548128,9.396669365242303,8.033097383190862,13.139982324794907,14.22677322948531,17.228333412915376,20.75798767847682,23.82737281343528,25.879485327144014,29.74740671327459,30.00033691474063,28.96092646169221,26.14621410134901,21.743283020995072,23.31659485213013,19.607730177791467,17.62217888072211,18.361479228738062,20.378019518402578,24.035829822778567,21.643062913998836,19.513054461129062,21.72340378295694,18.559941015824,16.372583330998363,14.60313076282583,15.246932814026932,11.91288654506919,15.08068607088682,13.155284429147796,18.476683001263417,18.8037641114378,16.77825272756092,17.259044456566603,14.552489963975763,17.08189795021981,16.419241754050077,18.92127275664759,19.40546208277077,20.421382361345383,20.986691208780453,24.664994932983003,27.207952499105502,26.158977358434942,29.177996115189888,31.648126271549966,30.136069147756917,26.187889409059334,25.956892624984352,22.716594149652344,24.82180863470108,24.795961417124087,24.355080838575336,24.708168566182426,21.73931924875513,27.03335511079915,27.496478406144984,29.061948734983183,28.67876197354982,25.856649766757673,31.047809920632577,33.7641890276006,30.92765976279566,32.656667826830585,30.6959851418791,35.799605837915095,34.50504324618229,36.19137779954003,37.566386106342655,34.48826196810402,34.82889283951668,33.133471148899964,33.825470028160424,34.98977227057917,30.913152401098785,32.03972549263621,30.427610636540425,28.079352674896956,31.8695302269999,29.65873074496481,25.897638979293035,28.636430074589853,31.332850175872863,27.155345253637087,25.446876669712417,30.0042003744692,31.187795892401876,26.05896261769396,28.077983089417213,31.20718292554114,28.072076404189506,26.274040729554944,30.84202001394874,30.434910243041585,35.24023298816515,35.36567288199379,34.61195355145592,37.7484848127431,41.908881981669744,46.10040476430502,46.77672981381657,45.654707493033534,44.02694723019867,45.659456095580744,42.27720097739912,46.02127500559644,45.96848049027855,39.695825501750726,41.09935279922013,44.95099093672146,41.5744031940745,38.5600552057623,41.148781524013266,42.45320686462271,38.63820139426496,35.740721239015095,33.620109881969064,34.07075619215475,37.41565635982026,37.145148068278985,37.78971495228883,40.31987023584387,36.43048013860642,33.95801632794366,36.87170820494867,36.03684784695701,31.116259891536426,32.2282085878863,34.37236043627414,32.16869000069099,30.475159037259417,35.49203458208155,35.554379650687636,32.04166483619029,34.112082836885214,38.002680094634826,37.06420223998152,39.077596573231716,37.16374898456134,40.97843688504535,40.73211363690571,35.15831451054596,37.75264696658012,40.335252855589594,37.63872126663195,35.284910628577116,41.23015387639416,41.11301452102258,35.83764760659573,37.070484760730814,42.216068853023465,41.32958553048948,37.370864015879896,33.29362592577003,37.7987001357434,34.39713169192236,35.309060148548596,29.94668227335903,28.662470793685078,24.661760926056285,25.27712993241564,25.581886847963787,28.525659605856173,27.573912731178066,28.823224036052462,23.7455323034709,25.050191138771858,20.318813916706503,21.428924301913522,21.91481659245596,25.285081185411936,24.03863825307146,20.11761259470261,24.120528089793524,26.252021164926525,21.938507517302853,22.93246708687319,27.428468173255407,27.93485133094022,28.14505021262508,27.768259979451948,26.675350680229784],[24.704958365248977,24.11788000393807,23.356541182726005,20.571436200889917,20.119899331093215,15.487002985669983,12.766168620199142,12.800530008242317,8.069813217859446,6.073757426307347,4.731202802890788,8.510389647290374,9.428511353983387,5.907444010997037,9.370627664899578,12.05300952667518,12.405124034539313,16.017565474207096,19.618780479218913,22.149815087344663,25.4576211285256,29.573329237343575,30.75404406056503,31.16418199264689,28.39900853677518,24.16054341188869,22.486533931091977,18.317223683937645,17.339271236940323,16.417429583523198,16.757043715059016,17.504725430344386,19.928399605199772,23.43681881830291,22.321862142876263,21.059149815349453,21.410616032019725,23.152734843560413,24.35515418694932,30.573641029420227,28.12000760630525,27.502897302607618,31.754068346567095,32.74267476014897,34.54234224047916,34.631326718673286,38.61661184043717,37.35123673939733,33.970029670202074,39.20233479745319,40.76225634707699,37.54234564967217,40.01019254609053,34.654168815586665,38.80142313006975,40.875468011423706,37.022227665369655,34.86976424403359,39.24464983954751,40.37022946788804,35.165296042491676,35.0160159905989,32.139106946672484,34.17262980843734,33.044864780748405,29.037647189046908,25.68329583623631,22.10568253944062,19.714616093228948,16.17381634265018,16.210248138704543,18.310339805712555,19.15391679131166,23.371690054141478,21.77189503142605,27.49102999059867,27.666096435138343,29.764281567538223,29.684703224833214,31.920001750080147,30.545632465822983,31.73783384198159,29.563844321842456,31.684650934046367,29.43767201750277,26.37104957227077,27.000271279769517,26.622862194578666,25.300393653413366,26.933243750492593,24.014550817182275,25.910178246001163,22.26069040898561,20.23497996179315,15.635205691797477,15.312896504705824,11.027752848303946,14.977841851882006,13.586662679025014,17.18489874020962,18.42518557280189,20.6726498222508,21.748952950586357,23.10905295397272,27.729406249823256,25.019436804178408,29.19375211432351,29.96325281052958,27.425172093894016,24.71644908964674,21.52812138503487,19.230375041029493,14.637622037864654,15.118299149024143,11.545718754964547,13.708920850565713,14.582502077696805,17.27119147217301,18.811150673325944,14.830472169643851,12.94755683838825,10.06397210654621,12.406014048641705,11.518843387499423,11.04323627137924,16.05025594424279,17.45302601752196,20.122148511870652,23.591668370712977,26.172619342122484,28.73461507800216,32.39455470823144,32.492310667384146,31.05788429050019,28.541201889077303,24.1608150876856,26.299126372487166,22.329488839586794,20.15953120747682,20.307379396826978,21.942767789064565,25.109631222315326,22.264884100744236,20.497150903458547,22.348983865984035,18.86660682629952,17.23659065574753,15.440666230846265,16.566830553131034,13.387824126704167,16.72986009859467,14.22003999571002,19.254799337956108,19.453161612117263,16.474358839487753,17.171387076954463,14.520214780450543,17.814024357552903,16.661625577061614,20.208440199585745,20.869677473977454,21.01775796243718,22.197294800001938,25.471518614291927,28.621830835706017,27.936873983019197,31.238201102812308,33.818780503201374,32.67154401713784,28.670392301527258,28.392285164125386,24.893608688476014,26.51195528609894,26.155137619482744,25.25066320887533,25.4366037250416,21.908305130176927,27.12390733167534,27.880090357051362,29.74723204885802,29.80120762054895,27.383569230721243,32.69759726939981,35.45297018924651,32.599211898942706,33.78211100381266,31.38434747071075,36.667409954022745,35.558769079176436,37.5600250728269,39.25600295834223,36.196143691369514,36.94940104210453,35.492682574575134,36.35133541565776,37.77775496176149,33.90273256071809,35.07803122477579,33.69500782943339,31.144727990089894,35.03214320385408,32.60102382716494,28.98235147022548,32.00383823427762,34.53192792859098,30.267706108529186,28.94528424986616,33.407207036699695,34.24581381209787,29.2512711806932,31.423580835586655,34.38830109298741,31.021192011063917,29.448979479428235,34.084836973734326,33.87698798067315,38.52498656682155,38.9831594886916,38.1371577044053,41.15476198410125,45.358870838029404,49.501069198037285,50.192753008412346,48.89726575627688,47.25537198312945,48.76783226333278,45.24579502740182,49.054686204895845,49.208095698281895,42.94662761724359,44.193220168627064,48.195868180318676,44.963856550701244,41.84807933406371,44.31678571956164,45.867255217911264,42.13629663552003,38.994893016697425,36.97128326225441,37.02637532836101,40.356397859726,40.07241534737868,40.42139553180238,42.82305453783779,38.74691687845932,36.61183215086785,39.52906970276554,38.353071165536896,33.55073114670074,34.982980742745156,36.87452579867462,34.53250813716401,33.17781769797651,38.20826180852397,38.03313037146584,34.53092267125933,36.94249912291011,40.81626756201552,40.08155965259323,42.046094320705876,40.110011006481464,44.027063581126924,43.907181716166576,38.41219781038447,40.98564095945867,43.71585338144659,41.089436103061395,38.752117304904296,44.699028712674966,44.71677734934771,39.482782828534894,40.650849436877486,45.83643664966234,45.04351275299036,41.1083375925263,37.051138835467896,41.58704534459041,38.18316067723085,39.030536399536636,33.66763785374562,32.320222847790966,28.23153143721545,28.985481865572275,29.348942975807514,32.32228730434161,31.335583189231208,32.477867578740614,27.315571308271217,28.368172099324212,23.627900231935847,24.660933470286,24.683841893308884,27.972484334562175,26.23380323045101,22.614332308634847,26.80284727105894,28.51667853179941,23.77336542129727,25.326535307670937,29.73968983284019,29.77166787369881,29.78501117352969,29.332720878603524,28.212643806765854],[27.160779459167507,26.62083340054768,26.064355754349506,22.68474439850423,22.755004157387035,18.667613209122933,16.1099285724454,16.842090211544093,12.202118422178328,9.650315250265436,8.490958420420641,12.432365483062135,12.466317056118973,7.8516530330611705,10.951311630682236,14.052892035685879,13.645530613325281,16.39869754210281,18.989595978494197,22.276676532686515,24.979772444465997,29.41048380655411,30.060042571253092,30.286604399620618,28.03454950338467,23.61009063434851,22.70053870801268,18.836012738444197,18.41459609415463,18.424486058914717,17.864011093306402,19.881630325144876,22.08408039066583,24.976177530657953,24.073942378350008,22.340152876434615,23.537933353455234,24.461558241570472,25.59038389616798,32.01308259559966,28.93945951707986,27.919871637111342,32.26914504719063,33.10406441322639,34.43701445800419,34.55438560977506,38.4948097139332,37.60301068916431,34.564163501896736,39.80546929073712,41.62081821929235,38.52846160157205,41.010388191746046,35.833212922648144,40.19342226954739,41.74994754889768,37.66294261534732,35.85718792259027,40.09184381300069,40.75574193422501,35.38952954672088,35.18666475329474,32.42709707168882,33.78122057610798,32.78749689259294,29.16769526803411,25.027714602634266,21.90175948157389,18.61669870950691,15.341258098980022,14.559412397960974,16.023926580165533,17.824994402668732,22.158123483857704,21.50529416877286,27.233239069554486,27.901539314176283,30.38015935948525,30.59463907088853,32.8797155785646,32.14795728628812,33.44393017717259,31.923566837048092,33.976525245914196,31.411003059320713,28.364455520030564,28.373201730423897,28.51291819186909,26.31760958073206,28.194813729248068,24.754518964283225,26.181498783592573,22.75498348913696,21.36565860375136,17.0612748794581,16.43718719744845,12.496647914638466,17.51097994485664,16.885555559848235,21.010515867597633,21.7858034504201,24.578797312877978,25.087467682945356,26.84423197020432,31.116885896146304,28.5695051347536,32.84595424589084,33.34988304483535,30.857499772420375,28.420722445179905,25.121731184666036,22.505595513643023,18.01544880231058,17.655662607658158,13.614288017373914,14.742934157775514,15.042840981714544,16.958570283552874,17.789439395401327,14.44960721734763,12.026233943070075,9.980391279374178,12.130699515119062,12.44999854449987,13.124099793437951,18.117680898818307,20.51001454463498,22.96541387690439,26.59679715418692,29.226084178919855,31.48666991912382,35.340097429296854,35.04457555872419,33.923383955542846,30.921861479694083,26.47584394927509,28.343788442549247,23.963691961034613,21.18902700887156,21.321458030694895,21.808488295236344,24.884641638126503,22.279801830433847,21.138584820918172,23.26288406705764,20.26951001524028,18.786295525466414,17.891760210243472,19.644418317358976,17.02074939415736,20.733437048321413,18.53513821502219,23.58207577976876,23.771878734838175,20.657246531399398,21.31284578881131,18.477843056452702,21.779455066089156,20.081443330328604,23.627731406813176,23.488195470993702,23.177925731965903,23.699943545876412,27.134591765705245,30.06032579742487,28.936275092765754,32.66129235741085,34.83271612983798,33.96415515269106,29.849166581012064,30.01486216640923,26.515753780580614,28.47767053556869,28.46360885986391,27.744666392878802,28.383774827135028,24.73074410910304,30.083417392259555,30.393511706384217,32.53483877437822,32.147702224835996,30.300368455126257,35.322315874914125,37.817595566410965,34.73299110743327,35.53617449352882,32.83847779935874,37.95137570289856,36.313675013826234,38.78775345176175,40.5404515791936,37.82342360195603,38.743318108636394,37.524150132796414,38.64243695688075,40.19992650914096,36.30002344582832,37.83370061219313,36.52767687235836,34.33874545842749,38.33828008769493,36.20834267176512,32.446050943805325,35.21585957511669,38.019577987818096,33.880411709386486,32.049907922188886,36.66077501393709,37.90151007810924,32.700088765765194,34.61218767415841,37.749299106411115,34.54272140438245,32.56786583864894,37.08112699303733,36.722589049791914,41.64017213614445,41.62328471960416,41.10992036408331,44.31498842779737,48.50959616297091,52.668905518099685,53.40066285191919,52.35665115459556,50.695070165938425,52.28613660573248,48.82756690395021,52.484290730696515,52.49713012209555,46.21481626330461,47.48066435232924,51.24222788464448,47.889530548299184,44.80705435249813,47.18552406476338,48.461262381148664,44.68444497332065,41.55207224767793,39.8473812234693,40.20411890774205,43.6467699543667,43.61813170872199,44.13437852988769,46.72795227597087,42.676624887414164,40.37351896871129,43.43998990384754,42.4397897905744,37.57569209863208,38.87763229294926,40.935161138806414,38.65157459054571,37.11037322495427,42.12608346944385,42.046103933010215,38.44941486803545,40.67909263127368,44.59069089940837,43.734521063207595,45.79033054910894,43.872271571476375,47.68427075904184,47.45119909172378,41.86891770361412,44.42511639403575,46.983131933765414,44.25626053842903,41.83413691636155,47.73918258324793,47.54287281433915,42.20374951626822,43.35408293333285,48.47795467694684,47.486329623103444,43.46320399879041,39.357225056882584,43.60116879788668,40.01296903545147,41.23819036226676,35.84508242923647,34.9525372849923,30.95951269773845,31.125464864363913,31.568575822412114,34.29976065424918,33.464555971188275,35.097634824696875,30.041986360869295,31.32481292840334,26.549221925068206,28.11771452693378,28.487714983235428,31.88006305339862,30.358106173185174,26.651934597508717,30.736296147143257,32.66631173959101,28.032024114126063,29.268930479028494,33.76435343572883,33.92396691747088,33.90786088163337,33.471324809170945,32.323053095951096],[22.052539285315223,21.989763904912007,22.236819831044485,19.17767796534624,20.322010710703275,15.217159206886693,13.79528280401932,14.654846223062117,9.89341885566413,9.85297244558497,9.427360374703747,12.471704234826346,14.21713557321385,10.84446491062884,14.407848974266006,17.148139500869938,17.328236208563343,20.916389663909722,24.0887333529374,26.909254939155225,30.00876810628784,34.22776626804969,35.161384193671886,35.29461443895618,32.71718404290392,28.388457534211597,26.925182552644543,22.829478547560367,22.26511259220464,21.451869103372353,21.76503852789596,22.473930326751656,24.717208357728456,28.34969587062076,27.390171296275803,26.16330543438099,26.4410217769194,28.093198443582857,29.066303143938967,35.308166913052176,32.570441214030986,32.16938149844712,36.509453962754485,37.24404995298765,38.799993284136214,38.60190986203112,42.63993494292781,41.713752800178526,38.16556772497481,43.26315496523636,45.119292083215235,42.05214720550665,44.739868053141684,39.37896469475327,43.70796200389997,45.77458227700077,41.8508673326066,39.869422636773066,44.27105080238171,45.23957510008315,40.0273552123273,39.95152843899398,37.10906893903577,38.92273241911991,37.806459724389796,33.92688437602385,30.279036711899415,26.894341260658177,24.068606030769875,20.624196857623474,20.199854738948282,21.7632087991017,23.24729379608566,27.645671397028995,26.467222934306655,32.13704823669848,32.597455902589,34.71487033899819,34.75687821628886,37.00488893175763,35.63814233271356,36.72136960361157,34.43892084804638,36.411370696588136,34.08003017593098,31.235549188763525,32.00610491483595,31.69099539890264,30.387451390321782,31.9697048185422,28.96732988286591,30.58686435558348,26.893183030427686,24.859280022414733,20.38903125722559,19.5502602261705,15.443255348953764,19.51862991944723,17.89167824831059,20.62038007422106,22.847735998168556,24.471396519989124,26.19167061523387,26.884579708808094,31.5498944098459,28.300629551509154,32.110895088474734,32.64736604880138,29.569393810740134,27.179151798361605,23.520806147200517,22.047624471051115,17.322668909928375,18.160936800618675,15.37878534193407,17.080586342095067,18.599463940764327,20.63916329060922,22.65173479856894,19.193251531777605,16.746752400800084,13.935626258473384,15.028406715221045,14.0334482317298,13.034376981163051,18.159532785745082,18.887536879197373,22.265886724362016,25.748461086464623,29.01676778826962,30.890115210197337,34.818050768645165,35.2128590664272,34.23810369442284,31.40180077794438,26.995793887017268,28.222983282907958,24.557385823958903,22.335566595037346,23.265909696786274,24.60458059866765,28.29472127362757,25.9959829927084,24.241770712354636,26.523984992955583,23.37303996816748,21.39042400870515,19.73208035358897,20.45235482716236,16.903709533114316,19.623383195748886,16.78205970223758,21.752356137012935,20.958790164628862,18.889720263523955,20.434474720137068,18.377584590304103,21.40664181520237,21.002154878945223,23.962874294804756,24.714220091433656,25.485498956997404,26.111849854625447,29.761356966264348,32.36724224815627,31.132846120691223,34.299956631269694,36.56176245839062,35.03563134017589,31.050960227373213,31.038883598547,27.87131956787863,30.118898159017974,30.099031886746708,29.53712264549903,29.74158970634071,26.521305863900004,31.704033036471326,32.46329484947014,34.11689564034085,33.93815642318387,31.1267544551852,36.37551152278097,39.10602008789004,36.2562720274054,37.87394321468506,35.73716105179009,40.8615056756224,39.40274486436398,41.30787862370614,42.70261190585915,39.72636465218617,40.059609752847415,38.35109270561007,39.012393446463335,40.037893422434365,35.821403677220374,36.853132655872386,34.927454559397795,32.653486980205315,36.11189125341054,33.82734273078001,30.099627045655144,32.47125590932093,34.98758749052108,30.618427086379235,28.648465532491496,33.07294388401281,34.12372977234411,28.607279071966023,30.36536965978968,33.33965079566838,29.976887612148836,27.817847246850594,32.29316098390468,32.24657630234216,37.05203895619024,37.559887368223784,37.19454236354353,40.23240765310516,44.7548065058353,48.62664313715829,49.72439734287321,48.90500914666291,47.613579759570136,49.49470354507612,46.3587827453375,50.24119666676743,49.938257814921904,43.71410984687426,45.43679665212511,49.2413892442251,45.67147140820507,42.881151519983156,45.7117714898415,46.70418759731945,42.733769784686906,40.31746382253049,37.910416852826174,38.75137678970592,41.999522533277066,41.41152464051719,42.18045602609229,44.43818321270808,40.71231366981419,38.24663522661369,40.692172823459515,39.813596684146866,34.97442229189009,35.79380482797663,37.55725960663563,35.13801749647565,33.41199916639435,38.29973401837618,38.01343180329791,34.10236206115126,36.35771596784414,40.33009403290009,39.66057567801966,42.069647716360116,40.5705524189354,44.48838338484642,43.78466295512757,38.31294412685178,41.36689692173656,43.66871794928164,40.75923043254453,38.8598066484889,44.852840023476055,44.308085454808925,39.059770447058135,40.789690462340495,45.7588473128307,44.47242654095883,40.464606249884476,36.12886523885775,40.38153113450218,36.60753393369314,37.36579734742672,31.97219487414211,31.145090534306807,26.839003554211125,27.214893309309886,28.141152256872996,31.211178211626287,30.816589102553678,32.35273822504642,27.6512249490756,29.434016614567373,24.813170097129348,25.188652960321996,25.978691156445223,29.096322039709463,27.840446923355476,23.519396257451564,27.083421581412182,29.241764326828648,24.772087702280512,25.063137593723948,29.66284407125223,29.915561227003188,29.79135692750045,29.508736947960642,28.42219677539496],[22.171086860912702,21.98123029811757,21.72307980601442,19.5181067560203,19.49352156405871,13.89159483662299,11.90304250126203,11.284814345462847,6.422206162388213,7.135629011276568,5.94359441522085,7.88546981491872,10.871971135828757,8.934850954285078,11.735481424300897,14.03893457216329,15.220403455082007,19.09931443102837,23.158930822014845,25.307107157745648,28.86914750781589,32.80560847045186,34.240434792344864,34.754294664657934,31.783920088558,27.66912248237606,25.643748547973782,21.387231622646066,20.0495382441464,18.370113112951838,18.963090839074706,18.713503597040337,20.882864386477454,24.92525341264066,23.980047394799865,23.3188878068666,23.02621426548107,25.547632588444912,26.82186261717135,32.78369476106004,30.818436283892954,30.467891657330075,34.6015841423927,35.69467900707454,37.74395556305649,37.77911447915014,41.77529061632948,40.32996944713655,36.72875790339283,41.8909537339853,43.30480194038707,40.027926657190484,42.46524663154225,37.022794883136825,40.92856114164184,43.37932220350793,39.72903887628969,37.290711726394846,41.69307276780735,43.18230398815918,38.09080236836501,37.844912278844795,34.82086246920498,37.261183540189734,36.19762218698672,32.006192512470456,29.052711259860704,25.23375805365735,23.27968324818719,19.525574569166924,19.89969768957064,21.925030328580142,22.41415506293511,26.716579062057246,24.665952661971662,30.173878323070195,30.338890018711005,31.99943110760019,31.924483522161594,34.253734722482925,32.41468648682903,33.636071858768524,30.86174393956922,33.087077646330435,31.200282404227135,28.137100336954376,29.240079245579434,28.301798622430532,27.670822958485374,28.790069737827718,26.2346397978841,28.120183791774434,24.284109363236823,21.755180142989026,17.23292296472317,16.600060189309545,12.478009229575012,15.512778334099584,13.426519101608267,15.747360394072986,18.342677996494118,19.833917100499498,21.96611930056172,22.71718056478073,27.817438365548472,24.78022780532066,28.621664382689396,29.646291817374255,26.825101351125806,23.925707866559787,20.700336396623626,19.284095397703478,14.63757605614249,16.25004048788033,13.628615153491799,16.318006231023148,17.72355760887554,20.607107622936486,22.548880769947857,18.411348467490534,16.738447073532697,13.631841975921846,15.588182598636893,13.95953484148713,12.329066964245952,17.176734744373302,17.102423975487394,20.347178352358288,23.57342566415501,26.377211923043134,28.93344143928691,32.46662256536377,33.117222467759674,31.54706690102897,29.44294485891367,25.182830277524925,27.1398558182754,23.75126039192237,22.101796510069775,22.5817005361605,24.867127461323395,28.23036482200977,25.43058691052616,23.299599563912796,25.03159744902808,21.32701424581093,19.56971947418936,17.07741671033887,17.35967434282976,13.45366813913676,15.779318634949648,12.38565143935532,17.163309922694587,16.502404554589653,14.033560078587259,15.605299399786592,13.809855320764296,17.080141948580962,17.017833190798427,20.394748092495846,22.026960804774717,22.7659450134547,24.372639227811476,27.53833949104205,30.692785534302917,30.18672367551158,33.06111621954512,35.829137968247665,34.31080776097939,30.452202913328033,29.91380261920384,26.59895298336381,28.115490557519827,27.54231757501342,26.54120219752635,26.208360701332214,22.90635506068315,27.80148219097003,29.117610610694783,30.638888298158154,31.13871781319284,28.050959651079292,33.59567480800014,36.580849074409294,33.981362794983646,35.614988697538735,33.548860586516334,38.888970085113165,38.11633725350728,39.71245441500327,41.25849784341266,37.961073122743024,38.416159342213625,36.657263412691805,37.180444352623596,38.29196320396205,34.31179971892535,35.031076481763876,33.2929267934147,30.48423686417506,33.97212650552683,31.234509244173466,27.770919512580317,30.71748866667495,32.85841457237564,28.356470221702224,27.321118007128774,31.537523132534453,31.928868166878864,26.873685616323783,29.120316568534236,31.82286906934125,28.182736272726896,26.778073965602257,31.46109290215071,31.60964062990473,35.987533086945206,37.12795918306685,36.20450816848367,38.977335677290405,43.41402242918302,47.33261767193063,48.257190718372534,46.944516146853815,45.556501485181315,47.184961133300746,43.808225586007474,47.84781462766391,47.922026389488444,41.7248062221926,43.20977796850469,47.380040608039984,44.1116971129204,41.150376260372546,43.90245485717668,45.45086819357305,41.654011594741235,38.90788570314372,36.33989155128898,36.45945752098499,39.59505814833014,38.82377785523988,39.165600110696694,41.20085439320319,37.27772295266811,35.23564574630979,37.65210816237382,36.3523660572483,31.648411534178063,32.92161047795524,34.43012110184551,31.908087087586193,30.64702133136147,35.60092043091814,35.14100826159059,31.462871184662895,34.120278881210396,38.01191735475562,37.54188747205303,39.68838723107425,38.025526222835,42.09590030371612,41.75233452581311,36.407044124606735,39.314199919097135,41.99408976505988,39.318541871938166,37.378918424091204,43.38730522044931,43.309460821188345,38.208334923637516,39.73893880733194,44.845608047698605,43.97278135970628,40.10427062022131,35.94105372516911,40.589383450180634,37.15486124844507,37.52027295617732,32.19812521527338,30.679589650851348,26.329806027306454,27.53819191574318,28.196483737401557,31.478330081588766,30.709079518971027,31.542779563011955,26.575267753789234,27.773073682580616,23.19239422091117,23.1222499797727,23.106247817554316,26.104846282268834,24.268850440297328,20.362181161595263,24.295387960936953,25.898093876728243,21.03374676013864,22.291391832685836,26.71355729473352,26.54707186483073,26.410969385047174,26.02777381645313,24.949009646828408],[25.487663934004498,25.824269274273462,26.224924067466837,23.85085898051727,24.480268031955518,18.76789985520342,17.094206055047053,16.400021357445585,11.623542274975074,11.751624657438123,9.44667470768471,11.0072791816884,14.476703903599471,11.785665420491659,13.274565585489237,16.221796391319874,17.902567900780753,20.899996141115324,24.669785164067342,27.333652331018737,30.514305298342208,34.74097247895829,35.89676134039558,36.63413630773955,34.07288337657419,29.820319069190273,28.361991834903105,24.249610710584168,22.67977338127379,21.214917868684573,20.08077183661412,20.843209839593097,22.098314984369477,25.85886977353633,25.745139021261913,25.309665208530518,25.76521956877144,28.375763502848677,30.045070826296424,36.11743587023401,34.105130754464135,33.094532804597364,37.1840039888383,38.54818371745438,40.44082812783287,40.79662806117031,44.7156582280319,43.2725062846332,40.1300176544717,45.43805852012062,46.769950839424766,43.40316592565575,45.53892690269573,40.221292359189455,43.90055717359021,46.01270916475371,42.29953097159582,39.7054827660351,43.86117059257843,45.36136049252598,40.040623411961384,39.24087369138513,35.97531436734234,38.111592250321124,37.579421078207204,33.601317526727335,30.04990173760136,26.26535067523467,23.88371319611785,19.80284817578989,19.971617003586545,21.080779169816594,21.834919396649138,26.573668642343637,24.9352599579371,30.114748134027018,31.224797424756677,32.68742103209259,33.30034851114645,36.11683820601055,34.72331498330039,36.538547614382296,34.065213052409845,36.67137197092332,34.89191930932219,31.442375917372264,31.9282178203061,30.776061670847845,29.525970754616168,29.98795359445988,26.98193971774386,27.98601079152127,24.097722160385505,21.777298591431464,17.74381090942347,16.02140509364459,12.480556882078394,16.667237663531917,15.50008284195595,17.995022547202094,21.02237696172252,23.417640833171046,25.513037932623046,26.98704181124847,32.31685749733013,29.61738033870497,33.53768490851191,34.73895865631416,32.0139739132198,28.991756911387327,25.890593762110232,24.38997925335576,19.778156182857256,21.10354485309629,17.86764823837279,20.235995122516258,20.927900172906025,23.633330463290015,24.525949514014687,20.443171820715683,18.7764631000273,16.305962437606603,18.759038179471435,17.935212849617166,17.003314346340186,22.023733095987506,22.315355713625287,25.52043845007141,28.78446791572745,31.46829552574127,34.12533069922435,37.64612252046348,38.18753281972082,36.517026677261065,34.42342506790541,30.12427854852675,32.1438006273081,28.501892215969182,26.493279598267094,26.803512562350065,28.401768137057484,31.544220478081083,28.61626616409456,26.947105046455526,28.60454033690144,24.872338976160883,23.488338185394767,21.27052184506658,21.980996551853867,18.275206879129563,20.62438106648342,16.815746945212197,21.050515464418083,19.745278016750962,16.74117423935269,18.950673646526685,17.560519103176446,21.339712257383436,20.98922449543621,25.026379928030753,26.62066241077267,26.729160075961662,28.494546563364686,31.492980764987422,34.93270083190379,34.42170314706853,37.61141763078613,40.26520140266054,38.975346681836335,35.01998264889783,34.65402415973102,31.221091596148845,32.66409675337052,32.01331292402594,30.77067308251041,30.389834341055778,26.67827655277489,31.445575805199738,32.96656508074176,34.74369578132751,35.47749516729262,32.738939530905,38.30332268212397,41.260606776427146,38.59135087827878,39.80587872895758,37.36324586204751,42.770524461063516,41.918599771647806,43.88261948354325,45.62484127920042,42.44832707929986,43.152812428891096,41.556381851020475,42.212549345825614,43.43157424930724,39.46821576585896,40.25920958497931,38.50927886047755,35.71442044717799,39.1349910395454,36.32296080831979,32.91643420176555,35.77845277624,37.81250302727702,33.22295311376764,32.1438718194149,36.27583971009967,36.505398937994684,31.32986362598842,33.45718577868888,36.01038887903489,32.19512914966951,30.669336405187288,35.27077392281817,35.6779184152793,39.9947587080549,41.413354925194,40.70040880924118,43.38758188591117,48.01648881381727,51.735951170097195,52.89349278037161,51.68523407887608,50.45820981213936,52.15594168494396,48.84085648541863,52.950938462304556,52.99002388388331,46.8207415066536,48.37769473997428,52.56180197938717,49.25088143934475,46.34465714933501,49.13272040500257,50.61073652434277,46.766097092409936,44.10795425931292,41.52500352799704,41.68737483859393,44.79736520368329,43.923469387572204,44.196670996242496,46.05786278540167,42.12872131665441,40.25106284815904,42.46337313739596,40.98839272760423,36.41172955039568,37.68321451974713,38.88203077213345,36.20438313159012,35.09594936993673,39.94643704514712,39.18598266791459,35.32650651298811,38.220377798923266,42.120260835941814,41.88983130637165,44.21642974982713,42.7616663957462,46.906427800481694,46.38318934208389,41.13364758394668,44.24251704270244,46.82643787954732,44.069150651141406,42.34122528204126,48.36357652572286,48.10731543953577,43.01957548719532,44.7478032956146,49.7856077616317,48.727274546199986,44.82590606355269,40.53737841954093,45.021081039555845,41.369668389645604,41.70509195074654,36.3715795130445,35.13815963212943,30.64301161786149,31.667433402673133,32.647849191089186,35.94590007936971,35.4387977580583,36.467300931550085,31.62808258774226,32.97419205671005,28.397277236206758,28.15911520162881,28.146123326736475,30.99670040166541,28.96960021258301,25.079451626630757,28.819397189514095,30.23051449020045,25.169808668758176,26.293198955376,30.65238264254634,30.094764299919966,29.65293211650378,29.287711191357054,28.220142154981026],[24.522354299841016,25.114633750528316,26.041268022807987,23.376299362865574,24.872284047696244,19.197248833107714,18.09897015860254,18.10563445221269,13.326332602385886,13.753852108711241,12.113427758454792,14.104902518582433,17.20535017426963,14.070464262654534,16.20905580381023,19.241676170449615,20.402984218377924,23.441981050232354,26.795242385129264,29.747963376022238,32.74037444458966,37.08338536175608,38.00091696361714,38.48805341774838,36.089898728773896,31.73518016346031,30.4830098103224,26.41296641798592,25.272661792824923,24.1271800175465,23.150313333576023,24.118424553601265,25.49428594034225,29.164833763490126,28.978625401233067,28.302347088049615,28.84728492726075,31.103418794380772,32.54935442589919,38.74359097458324,36.35902924614993,35.46708045847232,39.677544069661344,40.803468658575035,42.45641049266329,42.60463168863647,46.56834924914811,45.42357012751986,42.194133562150235,47.43135351526617,49.029683979915305,45.79182818165973,48.126550713162274,42.811662417878416,46.73655712346125,48.74568593427803,44.90860420911746,42.54983232740266,46.746459775875785,48.00299547708961,42.6500086267462,41.99274356839385,38.83023996105691,40.68642850776906,40.08668278737801,36.240667826306236,32.39133401521098,28.82929463856425,26.02357218333504,22.14105971171392,21.8763168169245,22.721133639689203,24.05082954794426,28.8192886134132,27.619040016538364,32.870494951641504,34.084213733479096,35.75041021090411,36.369399311555725,39.10635429974513,37.8379653196897,39.50031074652446,37.12755962821285,39.55663757702869,37.57036211350995,34.303370461951545,34.7911262754607,33.91495648015966,32.493426148175686,33.199109813443,30.052508432579593,30.964817166927364,27.143753295647194,25.007680892719307,20.991327448000444,19.22544098570722,15.707825299654738,20.094333728641786,18.871432001589238,21.193367371928986,24.325237428101836,26.42411549241332,28.59310289465297,29.73074601292472,34.915617018072105,31.91091085770625,35.697630744426036,36.640289496585055,33.62896022316567,30.89022691889971,27.472138467515418,26.227633638902464,21.52276030104111,22.742527523105714,19.716653251501686,21.69005986727909,22.682917303810196,24.94230312620471,26.103855955348497,22.402995876038336,20.2902419845249,17.85534105288574,19.651804654466705,18.930296576149026,17.98957125208093,23.100956788251136,23.393181944261475,26.8690983102454,30.217683879410895,33.29935083459398,35.494594031510495,39.24086127405578,39.81405266704916,38.50519805475501,36.05497269521989,31.693143736630756,33.17260245126233,29.56602158926122,27.391253140204814,28.102490089845727,29.356240316082165,32.791824108866116,30.214816019629662,28.628349665100792,30.624542498205685,27.170960526506022,25.545660107709733,23.605583699075297,24.300163156078558,20.54721366066482,22.860917205706777,19.183678281989707,23.54580840162337,21.927917640538023,19.50470974381949,21.88296440902607,20.51321196920013,24.05588721998357,23.854553645453336,27.493737074939055,28.825846343478084,29.217014586714924,30.45913927971132,33.77793862183956,36.83558663771549,35.89619276275056,39.11701888224355,41.506251400583864,40.064865861454955,36.08150526591879,35.96244647064032,32.69195055787824,34.59505660608478,34.24844185400844,33.29124438289232,33.11036147333339,29.561374195753878,34.4629269077022,35.76500306841192,37.495029548212635,37.88957670395858,35.06542079831259,40.52425401506078,43.39736133132226,40.6442337408349,42.0458671153193,39.696552972649854,44.98325261405512,43.779317770875885,45.78898591753353,47.36100768939083,44.30510656927192,44.802567643342975,43.11877547545049,43.74022993532544,44.77953663196947,40.61452206617972,41.44713510377055,39.44181305597934,36.916312043734436,40.16931689302673,37.56203275354513,34.03361011980977,36.47563387763427,38.62028222497594,34.04819681782159,32.44870560854776,36.61135969489817,37.13018108609419,31.63625197246659,33.44689540335806,36.07484022307511,32.36906170425207,30.395064220855662,34.84027810196038,35.251636753232916,39.73661944946511,40.97748622092326,40.62166747448021,43.38862820898012,48.1523581500839,51.74485390273871,53.10996363250824,52.24671644208251,51.184733533310244,53.10310433128387,50.01578687446535,54.09845125287098,53.84009467112735,47.681919540676304,49.49299764489594,53.480783759867165,49.94987043044421,47.223224768155056,50.16928701707103,51.26192197840043,47.27985202222633,44.998335456846085,42.325375843185995,43.00467899196013,46.12133594643572,45.196695276669786,45.772344481351624,47.66239887001755,43.93329233593522,41.77957690562827,43.83331852936941,42.62377502170403,37.98272711832042,38.87154809744071,40.11932245209222,37.45931704484875,36.04949018804171,40.81554317234936,40.083260663641916,36.0042593724437,38.68727515475502,42.64069906940046,42.36521013799964,44.93945621454699,43.702414086028796,47.78910291609423,46.9292236770558,41.65846368062633,44.985218360796274,47.28206334343423,44.35048789191702,42.803627197623335,48.82507971120348,48.21070173320284,43.08804355513447,45.08355612005093,49.9845744332788,48.614881096752164,44.65727352619019,40.23017621049346,44.46859161586001,40.59166382331062,41.00162802409942,35.669344833293536,34.84410786416015,30.310429252303027,30.948723551817977,32.213840587706336,35.46516365981822,35.29143043856578,36.66194206795324,32.09156881666474,33.86446982096789,29.327333308545676,28.998810404789683,29.511862608855964,32.34429962110466,30.703085382870146,26.423464673281696,29.814320179886973,31.581688954217377,26.785340135088486,27.114267972292865,31.58513167497732,31.27780539951205,30.806717482909814,30.543943276145022,29.492251882324318],[20.13246491790375,20.961671265027856,22.23653791982304,20.14658148005055,21.967110074781008,15.79432517234288,15.518340418761763,15.416957235899382,11.19328146700191,13.296571020064114,12.46675060241118,13.70339499188947,17.37591820508535,15.24580898350862,17.89235578253532,20.405079457121342,21.660294083150045,25.370471737776803,29.15593622461026,31.62143590643558,35.000208960321245,39.08879218359506,40.320791396348525,40.712519569530365,37.93662860960407,33.707655186294346,31.913381971591175,27.692663935147245,26.53059175871351,24.874152503154377,25.00961058878396,24.84791539101366,26.53672303069707,30.685657780208476,30.14865980709418,29.703672092267066,29.436922141735167,32.07872969505941,33.307290992807374,39.27587433787928,37.189136866034524,36.8814630338926,41.06594355125657,42.067471734994946,43.95318580542373,43.83750467533003,47.86981997986105,46.64235627036928,42.96603409486414,48.05449134056779,49.64297425834488,46.44321010655272,48.96603326029569,43.51944868782103,47.4423909226446,49.90383543947122,46.22837168936238,43.7948787568783,48.162583505023,49.638932228001615,44.4896185830786,44.11099608948929,40.99339868157887,43.28573562970878,42.40166065068537,38.305159031340345,35.0242439170736,31.282729119831775,28.94229231885628,25.09292299936171,25.126659052962612,26.51110651867706,27.488919703297157,32.09279829896691,30.377523710715074,35.719815480221904,36.38550167969341,37.893592669087354,38.120235234338814,40.63226110439463,38.80347207617579,40.11848270643337,37.18225139229152,39.4222335996871,37.600511998701606,34.60670788998368,35.76113889981642,34.672100827828416,34.04152785186348,34.8058909833921,32.141847544950444,33.54818529227326,29.626748646543643,27.05180609649441,22.830244396670857,21.45303251578038,17.741034520630144,20.973069162582487,18.90516971174371,20.095434462660275,23.92992745411567,24.90996468130961,27.819337981624003,28.036624197154687,33.30570037096684,29.854091654078506,33.21981724395406,34.17268451113155,30.85299088633568,28.18930572670564,24.672314668011637,24.26210398824389,19.66201930248732,21.67264260889664,19.639556745808783,21.97477524474394,23.725744790988657,26.153081585165335,28.237942684221444,24.403670589125532,22.327992621024265,19.352207164789903,20.596831908485523,19.015927083384927,17.063815426616696,21.85694863416461,20.910644796771255,24.811398774158008,27.901060408609734,31.273927180747553,33.23438221411255,36.90078191205536,37.96659230899135,36.72366027396412,34.511608818718244,30.301450985200628,31.44241664087083,28.457888798949156,26.82944712448426,27.94417096510188,29.95937834668449,33.71334842505798,31.292942923411797,29.214807906519248,31.23803218945677,27.71685396261073,25.767704941015307,23.346388068990876,23.283680038987697,19.11357051033098,20.583439265731926,16.72806129004268,20.85432645167339,18.69704505880054,17.347618202107405,20.099373426593427,19.266900371480396,22.309342222914673,23.039368424627234,26.01671328654189,27.928965852245287,29.109344311051064,30.420730353569343,33.80978210657198,36.61255117071679,35.71371966452348,38.43818827434609,40.96137577512378,39.08106081779809,35.27674571181761,34.92840230300325,31.92426655906728,33.89010683169612,33.51049497103204,32.69598481125014,32.22813452698272,29.144057047987353,33.851193235365415,35.377728350245675,36.69169073022683,37.19671904271689,33.70775136947949,39.23352660031459,42.24889070739174,39.72544545066443,41.72879923802468,39.8611635976419,45.113200215671036,44.1314747346123,45.63359773331977,46.937696101588074,43.67482881003807,43.75237664694715,41.73474309150603,42.00799886698035,42.681903759785776,38.40752544820067,38.83785833246538,36.494468136808045,33.87064415928151,36.7197782354633,33.99892882876365,30.595825665878635,32.82597273077509,34.692909511038756,30.03549727587141,28.5501492041013,32.482248265407726,32.77299195565244,27.243865069061435,29.037242354940503,31.49176268386847,27.695392358783565,25.792009497800194,30.228872918484647,30.84812675960194,35.13075306961991,36.80093024186087,36.37767861737438,38.96862829103458,43.853391154292545,47.293205447020874,48.79768684906408,47.97132235267198,47.10793478459855,49.14491593111834,46.24642310493483,50.44984543688,50.055272650444124,43.989808913030195,46.02945059593967,50.06509797770765,46.48746386854839,43.93882337979813,47.12737333278985,48.139459724422025,44.117304106402585,42.24851584845124,39.12710265240689,39.98895214308992,42.92339979010716,41.634078442111814,42.32992764472637,43.98624272645608,40.500611188137796,38.27867504781253,39.92530802140501,38.80515580465283,34.23365007603975,34.83116660922352,35.89419869314294,33.19518004932677,31.700535309557875,36.354560683516056,35.53300644993555,31.343008455892868,34.02911280234843,37.97998766665998,37.81072672707154,40.51909372411866,39.50552362328048,43.630366375721145,42.56307801105401,37.418188335744134,40.97584179806709,43.16698121054489,40.2035852818345,38.971802047139306,44.98725079793012,44.28058750650019,39.2988213672603,41.571540283505335,46.36392639742981,44.94453198047694,41.07479987485148,36.61485392863225,40.94420263842881,37.12172704183806,37.12068346536771,31.87209415329848,30.87488273706009,26.216071489178677,27.23782087008354,28.682457315023278,32.15199630111285,32.13262698677915,33.21932616024272,28.909059144438956,30.837869607474993,26.54050838994524,25.349661834107394,26.022952357754296,28.59342956489775,27.15352615234565,22.59653647792717,25.58898319634235,27.452774112884022,22.892996394883717,22.62979475009623,27.093646055806808,26.89918567253002,26.429420195183713,26.277989041458426,25.29730776095817],[22.252091396838647,23.705654943899805,25.597055158425803,23.982589897249564,26.084501927090212,19.663526663151806,19.72479768147911,19.035949709540017,15.145549983438498,17.483693498743307,16.071744484560803,16.46707303077877,20.96168310743788,19.108355903364927,20.8978999939129,23.456112744376796,25.357739351977955,28.761704665619586,32.71379653787163,35.180524371333604,38.5365394696977,42.65693843908172,43.93348988136592,44.569304485405745,41.86010688316878,37.63773885370414,35.90769328637824,31.691097900662136,30.138702855548914,28.181828746962278,27.575224587530617,27.378661366171624,28.399953665530983,32.615884679011984,32.63422606044296,32.67359135861773,32.45115466853441,35.59951405292512,37.13188928827102,42.99622273349291,41.23859052391973,40.67459449935295,44.744839252586566,46.01793238118557,48.0181867022958,48.11175725301033,52.102311261561354,50.69324790585645,47.17654275197186,52.33743315606226,53.72449011169394,50.40243610484417,52.68255796801467,47.25878921706125,50.84569793889763,53.35519040036622,49.79420854643513,47.05266773902711,51.27573113782776,53.02992563148916,47.8282576555552,47.04912401834738,43.701607397951605,46.11388072005223,45.57937342922687,41.47611105232011,38.17351433336736,34.2911634385372,32.07009888186332,27.961365362552918,28.15535763832697,29.118126708866406,29.9011680976431,34.68635475165938,32.867796275846416,37.83578399792029,38.972151156478006,40.06301216173133,40.666999354069354,43.50450179523281,41.6409816292462,43.33687929842151,40.22442525494908,42.77421925831734,41.27080601143973,38.02342713915479,39.08561416570103,37.518668575527435,36.97199727962086,37.039549843840504,34.40719837839589,35.33639983647871,31.35145270262415,28.636399734514747,24.84587032059256,22.87051227632329,19.742243171559398,22.800473555625366,20.946909319433455,21.430240416378055,26.095038506454745,27.18017401971959,30.566131687564454,30.941594351628375,36.57098352313711,33.26962416455422,36.47364730064199,37.74924225627817,34.462601991718,31.581064608858217,28.308803879001598,28.22433722747721,23.748464853150463,26.06890827606131,23.996563375495093,26.51553457579701,28.02139110819242,30.604183269145203,32.26255127159321,28.261720208696296,26.39331090196379,23.58376107534516,25.18022228755802,23.696773708272527,21.734051200281783,26.458826038531743,25.09380459723312,29.053342368907064,31.95928514115608,35.203755624601406,37.343499057168906,40.81967971957856,42.11928342407837,40.639418617739594,38.78427144127562,34.65943262788374,35.91429117915144,33.082524605927965,31.556535449395223,32.58129376532309,34.63390461604702,38.27376031518296,35.686476343311774,33.6528688422604,35.48521034533893,31.75548687985474,30.011353723335024,27.3557622326839,27.170352260665855,22.887949076545052,23.879174707959802,19.50209442208334,22.833721691240882,19.845078459382503,18.561837707149472,22.038498005980262,21.944348071158586,25.186006857944488,26.2353471398351,29.54750209557247,31.965582407464254,32.99066176570441,34.74345328837154,37.89598115207496,40.97602498259741,40.296720471242004,42.97194980401936,45.6065837478288,43.71166551952465,39.94515736030708,39.4855001863872,36.46066609500735,38.18467761701787,37.559807794112096,36.479293993176015,35.66157262191694,32.45078036262572,36.834260819092925,38.830056765466644,40.106302863410484,41.08222623776665,37.47723757416405,43.140202933982046,46.28148726535039,43.89057451557331,45.83980234037053,43.90878204235613,49.26681458809308,48.521825193563764,50.00444932216506,51.38966108478613,48.029188405563026,48.14957521269221,46.09022503705297,46.26044554945223,46.86365608421068,42.6300919316053,42.81571178733338,40.35299541712524,37.53919350826168,40.085830673567045,37.10610404568786,33.95821010487682,36.15169907199721,37.602598527665705,32.83697094648809,31.72158831197483,35.28654782281814,35.03823446546532,29.649707511437242,31.427234799877514,33.452774536454285,29.405950341190636,27.74744061826258,32.01571151887818,33.108432115614185,36.94913001536998,39.38168428217686,38.96961038092585,41.22627432777604,46.306365108866906,49.40169144006679,51.1854447866891,50.346801669405494,49.76076675241034,51.8502431717679,49.07804486760343,53.45468331980173,53.06028128327771,47.13251679397469,49.293039060258685,53.46379677689717,49.930665097050145,47.505644443307744,50.828656275342915,51.890035019273796,47.874178715410196,46.23446265956802,42.8186631937456,43.588672611067096,46.341003695161035,44.68249607224637,45.23610294710416,46.48277332753308,43.10374459759656,41.166365378375694,42.32941683067894,40.94994287618991,36.652961441301194,37.21937349138565,37.73274568951633,34.84462034348182,33.65374322302416,38.06426857194604,36.797410069549045,32.487873692549826,35.53427262539088,39.39412356560902,39.6387446201715,42.507185835413715,41.82045036281629,46.05571036242334,44.79119239316203,39.93832942677129,43.75863585183726,45.88333396872177,42.92369706662311,42.10571454435199,48.076611598966,47.28129615934139,42.500528205768276,45.05161801809277,49.70952805231478,48.20836952730231,44.44002174766684,39.94207543920506,44.217562860496024,40.356552375522874,39.955908932383956,34.87130190085828,33.87109420896763,29.09889957120765,30.389062636585834,32.13387702056712,35.734295559280795,35.93889525512885,36.82655213565353,32.75242988080598,34.682728764596554,30.56519687974537,28.678028898176823,29.145051244079045,31.342721395975474,29.65318815030172,25.210544339847107,27.832906588078952,29.306376247313043,24.66221647156304,24.26273238783138,28.43674379351607,27.72272158968776,26.912291470878127,26.82437333272318,25.949133418489208],[21.577211295438897,23.576483140694123,25.975145946952207,25.334414711624106,27.545189742903847,20.93027062861406,21.694626496671617,20.43623053814579,17.54443192195633,20.823311348836196,19.605821642517164,18.984472655649185,24.05824752186821,23.10800261949455,24.61870011030662,26.754508719659942,29.083923589610407,32.675604264265004,37.014542996414704,39.07445880149288,42.68483419810911,46.587375551813956,48.15224953124052,48.9080981250746,45.95588985295829,41.87698242241514,39.79033565666619,35.52327802572766,33.68837164288466,31.200652038785126,30.933165751799486,29.88715636782679,30.677349400322175,35.187884817976155,35.294415675001005,35.833533458341776,35.03573788194049,38.77433867341801,40.35080621139105,45.87777084142769,44.64125267797508,44.32644672867579,48.24462684978205,49.62968975593072,51.90574145431987,51.977724477072336,55.95932919381903,54.32057890704039,50.616845655701624,55.68783143809984,56.86975657294438,53.497059767685954,55.70484291555574,50.24473849826758,53.529425036791004,56.41727515312862,53.10591642828084,50.09318886557731,54.30792394883194,56.44115485025969,51.405209702457554,50.56858441126585,47.126438772212126,49.965476667047035,49.44909855274905,45.16841487734729,42.34396404173686,38.259871591218314,36.51306092219723,32.30887483053591,32.83668173054958,33.964758899884984,34.32456851865241,39.039426864987426,36.75928506720167,41.50157168093522,42.47916178786088,43.1526372820031,43.68101856573565,46.52658858705545,44.21547299838496,45.893562954125144,42.25993255185173,44.858966092469736,43.75465962614835,40.569880113247095,42.055307805085256,40.005328299579624,40.141802443375276,39.78499146198946,37.603516774393285,38.61518572778407,34.58560669077489,31.511527271062818,27.943206801107063,25.99358676799838,23.189725471731336,25.168233749984758,22.937915910195,22.028721310422597,27.56133576808746,27.813835296980546,31.988673549818518,31.785082272195133,37.605949001738566,34.201679303118915,36.88715488773305,38.43551923515189,35.07066409358211,32.110894315210935,29.12745633639982,29.872210564350194,25.768818999005322,28.769577953384356,27.374019372138445,30.225224098096554,31.99653516803067,34.81305859147086,36.76791853661046,32.57227579860424,30.929969485729888,27.919856884821062,29.449214393917636,27.513626797912607,24.987898533685616,29.264840621873727,26.796280218265085,30.89681074343054,33.36824075031867,36.572160939621114,38.70982306557316,41.86363852779115,43.68772824210612,42.03849738149329,40.72924865771922,36.87464255742509,38.04769303192336,35.823893896465776,34.812970286526074,35.957054856717605,38.59014941979457,42.28276066771331,39.66106804298455,37.328141564544914,38.97355066734462,35.08488846162628,33.31946668695541,30.213007484295446,29.419961699510626,24.961253632603036,24.93820347045721,20.312597184966453,22.563005649664113,18.65777365029959,18.444509844303433,22.499074798312723,23.371065885216368,26.210809465373607,28.126905063531368,31.101993729818403,34.27206385780525,35.697803641127265,37.83959049241843,40.77843320959788,43.87727290081373,43.46870868261727,45.70584222992451,48.54214103078623,46.36774088513329,42.81532679797975,42.06490518455041,39.2368861639433,40.723082303942086,39.86175379594964,38.67869534646252,37.38690991640763,34.50070676084614,38.38397597450364,40.86956845130444,41.78116316700493,43.211355004490386,39.09862535974146,44.82558488021376,48.13747861912136,46.06623016377286,48.37509142392674,46.7717003309129,52.13894484661607,51.79618911017759,52.86071191250109,54.12080237085126,50.54067340091945,50.41540753664889,48.115541551018275,47.94905437744611,48.24970158617672,44.0715642688197,43.749865310457245,41.03856686576069,37.99508738287831,39.96769772450026,36.70354767704254,33.971474804879,36.013932035668596,36.837661079932445,32.02857202980306,31.489919132771977,34.45514160977149,33.4831046826667,28.43385661837977,30.22560872782457,31.652099086842007,27.38304342419803,26.214776990194817,30.2485786452127,31.89430171608933,35.03594571539684,38.48298780870391,37.91340958878641,39.67658345195638,44.89873051048582,47.58338343909919,49.62687085138967,48.716548992418765,48.48253495423837,50.62836695149745,48.08973899413474,52.6588567306205,52.23480100948611,46.56450063876681,48.91213437821108,53.22756821044715,49.79280389848312,47.59256168445343,51.129293330823,52.25325820664313,48.29849936594711,47.0836054814267,43.16554006695143,43.86829798594707,46.287237304137264,44.07806772000818,44.53719876313092,45.23520108020762,42.154991176248146,40.485733381080806,40.93072489685217,39.376211332993236,35.46814252828149,35.838509141328984,35.70538330418565,32.67742159475835,31.780986567398596,35.80982206686741,34.09231087977428,29.726293927347626,33.09359849198398,36.78612656716848,37.489596949993036,40.490709455891256,40.21998742818177,44.52945014129886,43.03887700999044,38.621559823779016,42.722537557507195,44.753881220363034,41.868615138851965,41.60682419454551,47.443856562355016,46.61953047018447,42.199703791569455,45.073111173424714,49.51143069371509,48.020849843464525,44.47616505263742,40.04577646075545,44.35506112005295,40.65133184609084,39.58773938284571,34.81338431922552,33.56136288023933,28.757799889716093,30.657561865594015,32.630304619762825,36.4203961732277,36.80832195341928,37.19998968775845,33.54336466004039,35.43332123654405,31.746668571911577,28.736272465979905,29.025292681844824,30.627508176992038,28.878163423597186,24.566761878137296,26.494185193521915,27.571539308025553,23.199675916496624,22.34389960487926,26.051394392657897,24.922358627321753,23.84092603458992,23.90680634891526,23.25022055820872],[21.504429406832028,23.82642853170752,26.840179537653963,25.75950529449017,28.901926244304185,22.55764609563408,23.702629396769588,23.263160802077493,20.09564432779936,23.12039644178647,22.159366456480097,22.308942769371974,26.911675475660584,25.263486389054812,27.275942723045333,29.712228499126393,31.559610448040853,35.127808210803465,39.05663722415818,41.50546107706415,44.89508585090514,48.99387084973779,50.26770911587183,50.78230099970986,48.043961619464234,43.81671717589551,42.013994603898226,37.77652384079871,36.34605697085157,34.27625469703633,33.93365781969459,33.40457792392238,34.359553245389975,38.71544183059834,38.7630155479847,38.94136726277362,38.441515978509,41.718016937171555,43.117420779632624,48.88775530697484,47.16061476438091,46.852942108356245,50.94080395904835,52.097215219218214,54.08305326727223,53.98027394157828,58.01130031261847,56.70737384561461,52.97695064304535,58.020073038790464,59.50983271305597,56.26127233472055,58.673259699827256,53.20721430523855,56.8090010096189,59.496263070045515,55.98391195391564,53.239336452190116,57.50715231350693,59.32154725280472,54.1754512170837,53.452463828593295,50.09542819653574,52.568767475269105,52.00870749700403,47.87649889379599,44.61438478555287,40.741277108469724,38.48483424765345,34.40705398696868,34.514331064248374,35.36848515475209,36.29403579903993,41.10671366318883,39.31427269216409,44.215091397067695,45.38048838140854,46.355737161691046,46.94844152567482,49.76390520325628,47.70650361995049,49.287427029979234,45.900485010653796,48.34698440207296,46.933553571536876,43.862468393369596,45.20016649849362,43.52284751571392,43.26242537081355,43.223307331801756,40.731389299620744,41.61162489175775,37.61221719693372,34.79274266688854,31.116612949716192,29.065787891855425,26.09041681107974,28.779635533394057,26.697182366471992,26.310567589499392,31.53535305099623,31.897762965292042,35.829355328523306,35.556091897312356,41.16812490533853,37.525714890954795,40.21298553790053,41.415819233339334,37.802434567873426,35.18452821312648,31.842348649053456,32.58791779481543,28.32730958572007,30.997391233023432,29.54090304927618,31.977531582736294,33.88275304611124,36.28037870025977,38.33793410942598,34.47340212560005,32.43238327453389,29.522144554007223,30.603511746783504,28.898262374468718,26.560862738629517,30.975746114454623,28.824582530493334,33.09095201075196,35.73013894789456,39.31424091235047,40.972129572559446,44.41612990094121,46.13880276919968,44.902728566670675,43.10390739398992,39.134617122644954,39.78926451320646,37.47629474289156,36.19312695796916,37.65971200429307,39.81877603173024,43.74409981650709,41.43477710403061,39.26479991523102,41.25264322895986,37.6249449709545,35.67418392625075,32.935354752158766,32.351830706644016,27.935018808976192,28.249808970782983,23.907991670590167,26.612566177001295,22.858833975596866,22.7729659286033,26.641933798906393,27.121949818997443,29.92466051818305,31.616807583861323,34.3961177756229,37.086269280703995,38.61298202801192,40.19793766991362,43.48316257454388,46.24578009044641,45.36510715329633,47.741362317785246,50.25930508411374,48.004580989663324,44.391384596061734,43.957360154096015,41.24568011695865,43.22032668463336,42.70446599160222,41.80238960304436,40.83610814790809,37.96211287947306,42.14281503003531,44.28769977441076,45.27933890774372,46.268752092726125,42.23038695404494,47.832655616347466,51.0138700197298,48.77643849296427,51.160629075858,49.53967460455727,54.80567668396452,54.02208708085285,55.2462904377968,56.372207191252365,52.97239538256274,52.701299159788846,50.3756190673913,50.25272587004864,50.429039788365195,46.04496354753024,45.876272160915576,42.94913489653353,40.285363896530086,42.159612187245514,39.22870544792141,36.30725229485752,37.85516997568151,38.909875126250924,34.206892162443054,32.93315333657794,35.97171583145353,35.50133904748282,30.08175797718267,31.396805777144344,32.96549587668564,28.972280975298187,27.124757900216576,30.85216779927672,32.43784527517025,35.83315242657971,38.89470677660057,38.848679405923846,40.75223207735054,46.089127038185055,48.61488452575084,50.9030108710353,50.47219853735502,50.40647941165988,52.807216072168025,50.53245433570607,55.001503295446064,54.21773784212336,48.56433554314662,51.16986895196317,55.19508419094262,51.49773943790456,49.494712919702174,53.158053181489855,53.803948540293376,49.69929883954015,48.867758516197654,44.96554857229783,46.27312176695846,48.74806491714902,46.604089076880804,47.43133935078346,48.26500358380411,45.38617231934957,43.360400789189804,43.754818421021504,42.57227377381029,38.56048246522199,38.50634819061962,38.55486994954711,35.630181425357904,34.31314236222722,38.21841332134128,36.637273272338994,32.07143241913776,35.026874966881195,38.75103896071539,39.32367271292977,42.60063346699055,42.55414493525924,46.7278429039142,44.845619497005764,40.39354592216274,44.68576083471066,46.33927167789266,43.244517736366845,43.14489753696115,48.94352014740748,47.66350979299609,43.196673780602424,46.341720474409854,50.59940854932122,48.71207623306762,45.0993111230979,40.5246118068544,44.452539769759845,40.46731466774459,39.56544818931725,34.83557836195542,34.188659505258585,29.42423640019139,30.706480408320274,33.01133914788725,36.66203751798302,37.45254092401186,38.32879238552993,34.984018452957905,37.34407753200469,33.663030010176946,30.83499840880792,31.750751141514733,33.43760451462013,32.17187882425718,27.49647485128698,29.10638893752821,30.675517245870953,26.68657566196382,24.98361760628178,28.79280600556638,28.106365455379393,27.079787675540217,27.239548432259976,26.581028486502934],[23.3506027163498,26.009581910819108,29.290962716621642,28.803226010035836,31.905849160121722,25.510124237937028,26.889072270243155,26.02324303916036,23.307366948444663,26.64102900658437,25.558475275208135,25.126511117682266,30.12033644072945,28.904228939857976,30.54126675164184,32.80831069008703,35.029614142578524,38.56932032465274,42.729770536814655,44.98983160639181,48.48738181007765,52.49464063320492,53.92229108647407,54.59084634627338,51.759925549929996,47.60086111590315,45.65712174165581,41.3981304833269,39.704348930095776,37.320329374650775,36.876069916258146,35.99224703119602,36.62407826635538,41.08203562354873,41.35353671368411,41.90637695912758,41.186395568588026,44.87605369826855,46.4064701835139,51.98434026626817,50.615648172076035,50.314157039551176,54.28698102663877,55.60181379224095,57.761853262894846,57.74105231027485,61.75053669167265,60.260350964691156,56.515743091863925,61.552611603865564,62.85927337097267,59.539587055768365,61.81552000666629,56.34872048648368,59.677354749872514,62.54727081566673,59.19683235992533,56.214674209466516,60.41558697828269,62.50770562909629,57.42295373892634,56.52626885970478,53.04976232845495,55.7617559088537,55.3352434227512,51.12271223098839,48.08090942689286,44.07038647660041,42.08210218278557,37.88260552147429,38.203440983760565,39.019768466684866,39.66576264188516,44.48612985170386,42.44372104216038,47.099988664667045,48.3440402410343,48.98282440408958,49.67001445442656,52.59621001943344,50.33759859098154,52.04771782717417,48.38915078578997,50.96540541035848,49.849431099059764,46.714486654588754,48.18926140376253,46.138681964739206,46.20125374494245,45.735890082340475,43.46697011602843,44.223072538335124,40.21120237960952,37.2151163917788,33.804833045373286,31.615142004687772,28.977990125019936,31.147957210005412,29.026246875111248,27.90626070644566,33.61912447227783,33.69653704984934,38.04319131945561,37.61597726491968,43.384744564043466,39.80810573912717,42.21088948527044,43.65116500700573,40.07421429063107,37.35359846280534,34.27823496718281,35.415028852662346,31.372007182334432,34.37437452364823,33.12953046529939,35.77990586065191,37.68351512376589,40.26502380458501,42.283815102115454,38.25479910684814,36.39722400868023,33.448317656843294,34.67670851130719,32.82178660737051,30.286655127549146,34.5146811352339,31.853871826806365,36.126709509263655,38.51150992537867,41.97323600878295,43.725482461778,46.92802585558174,48.939731629830455,47.52321841288068,46.11201358814986,42.298675365970716,43.01419175685762,40.98853768682622,39.95253864445807,41.39033702664124,43.82275112370622,47.706066540621315,45.29014917383257,43.00771699506678,44.83041745312437,41.05259323872545,39.18074892310024,36.18177789156924,35.33861692530549,30.86067788255247,30.660727203229044,26.146982335976084,28.108777844583287,23.871374109627848,24.20013930765098,28.384091534722735,29.446721328635405,32.127759462451266,34.21797431347716,36.97831750690376,40.127865271943506,41.730512856738244,43.652438122520806,46.74239184519228,49.63769208344887,48.980370136367725,51.159113778731516,53.821918331992755,51.46566498019957,47.958779081428744,47.34597314550782,44.69281915139521,46.444454169138396,45.725497652253644,44.6720882269717,43.38612731028732,40.60628627902127,44.43676183242877,46.94733006565811,47.774217967864836,49.13680280729604,44.876082743200094,50.53521716354728,53.82850522430052,51.78449284918998,54.276743400390885,52.76351329027474,58.07446935181316,57.57372627613681,58.61251635670805,59.72897850060716,56.197939732226324,55.85662546423777,53.42875371444682,53.13226498876178,53.171480203684226,48.86413359045469,48.390959547173004,45.35971628213662,42.527961873189895,44.04113752283657,40.90695254136063,38.306341754595444,39.79367907054725,40.391595565645495,35.704896971316956,34.88787225635043,37.46720919278096,36.441230248583906,31.379467131117458,32.68414730207933,33.75396071853903,29.656280681773257,28.228799888777043,31.66556996276757,33.67245375752379,36.45715536048279,40.28202180772933,40.14006924426887,41.636058349061415,47.04067709286313,49.19958015931766,51.69685975021373,51.21030531047594,51.41808778522177,53.83053510119571,51.7211593010168,56.31365678968256,55.5431162033533,50.11030489230265,52.80691698026103,56.93738738099077,53.34571790186257,51.49109461268989,55.26281678080068,55.985346868198185,51.94864854676219,51.3595128493506,47.16552884541069,48.3536832326917,50.59363312442223,48.08423593345336,48.783543645562204,49.19299340373774,46.513799779577,44.760158597233925,44.643900652713235,43.27777093439612,39.61743059166833,39.48609182958193,39.00835564926826,35.99803385848672,34.98648891715366,38.53113175837419,36.56985246849498,32.04268880478206,35.243394004888266,38.764446364833454,39.734114755557314,43.07801212057513,43.35426133669892,47.557642946786736,45.52887936730637,41.467575297712166,45.923082557956754,47.507443011541625,44.49814343122516,44.80531958839935,50.46595852259456,49.17729814508548,45.006031156365374,48.34859036280552,52.43005917880107,50.557275412278564,47.126314153701465,42.630952834355654,46.53225997332721,42.67184765746444,41.31556147064349,36.867779464172735,36.078459119336436,31.362174284483686,33.020054302551024,35.45506619843227,39.18566257209879,40.0876041987935,40.63381954902592,37.55776612102344,39.83083920781326,36.41588189081062,32.95076278791736,33.65858304413655,34.93158171167144,33.550194028064574,29.108651774670854,30.26709586722031,31.447565134553255,27.660202384689324,25.801260593329687,29.1334649202889,28.050367232357157,26.79310600730113,27.04881848354116,26.564358524119456],[24.45333311423596,27.453482130664554,31.292541762581394,30.758221292341705,34.549214686459706,28.45266080235145,30.235965481920296,29.829765391305695,27.16132990596737,30.481451147213086,29.621475140085522,29.512537975672018,34.28392743111564,32.78105085786256,34.71845471044176,37.10058099349258,39.057993568466934,42.62894363961705,46.56888377912473,49.01903731149198,52.41028245588934,56.50956719616797,57.78297482755351,58.28596932351734,55.56068066718805,51.32943557810945,49.51324162213344,45.270717579407695,43.82062991583797,41.62470013656064,41.227700606032656,40.519512835204125,41.23912502377611,45.652776187832934,45.885454784507175,46.278409799545784,45.636532225095124,49.11325790546554,50.51053910182636,56.185439430533044,54.56597359926266,54.34433101878466,58.4102185154654,59.566890282923445,61.566454997591,61.39262583049363,65.43579126708131,64.15874176550633,60.338366106914975,65.31818574510255,66.82121821123526,63.592720967456835,66.0178031014699,60.538539585041995,64.04439838483478,66.85783748971606,63.413795150516755,60.57918765268397,64.82297053383647,66.75842494689535,61.633009435429074,60.82075502765087,57.39214794500889,59.925777464062065,59.46206578155692,55.32084791549259,52.065132810344465,48.17126898154222,45.91423981494011,41.79910219970024,41.88432520485588,42.54230377200003,43.51292737050649,48.377794149232614,46.5951381737261,51.322840940171005,52.65843817834136,53.43249999559921,54.14034896695925,57.03746215986614,54.85661420164613,56.47549086489141,52.87282038344486,55.33361078810623,54.076410855486806,51.055977746922025,52.5314784128117,50.65354724247433,50.587720869519885,50.27515480209125,47.883664576977914,48.573829899117015,44.57758508678019,41.68863349099588,38.23670560825155,36.00261211339888,33.29541571927163,35.730863095133515,33.62070476255778,32.58800408917245,38.24305037649695,38.19879512844913,42.53664956196155,41.90653362891232,47.53636636192481,43.756944042751584,46.00592656532601,47.23261761470082,43.45936287705869,41.014426737153954,37.76526372113097,39.10408215165111,35.06847512315661,37.96593966982978,36.847209934230776,39.25730017065785,41.32112420058475,43.63226272149695,45.80601875886621,41.99264649441476,39.89782605230947,36.984626349606295,37.857295191868666,36.07602325774475,33.56907358253246,37.744162812325534,35.07410948074862,39.46039244545229,41.83819940242728,45.56359815960023,46.915526737151765,50.239636390879625,52.309944641239035,51.19128567918407,49.5438120035474,45.73666820913873,46.00780806643644,44.09848523834159,42.99734119489623,44.70995921799276,46.91540533058897,50.98096577470302,48.81418127639366,46.584889424417334,48.62130217258212,45.01389425027413,42.9974012017555,40.173296359611655,39.34134062785493,34.87469643705177,34.691346370118396,30.36551245878835,32.40888244980016,28.13893393714371,28.780307502910713,32.915565745577844,33.8927870810303,36.44200065340043,38.561148457767416,41.078199796075204,44.03618482693272,45.81860316092156,47.4016150329203,50.701031638412495,53.32122044267726,52.36193863991543,54.51826390892469,56.96672845831084,54.47095731338428,50.997451216518556,50.56141560288906,48.072511855195486,50.14125160190779,49.636259792564566,48.78278072551362,47.63294325751829,44.95511947312761,48.88665030939229,51.24884521064713,52.03793819437724,53.16432731434654,48.83473646087543,54.391644466755935,57.6165403328128,55.534183878395154,58.18702688138874,56.75787150170489,61.98157265522423,61.233064820597264,62.27635812439419,63.24012189966401,59.80082077771546,59.26674557546145,56.754455467469455,56.39415906179042,56.235574399881116,51.79855123478099,51.302061096322795,48.038250392024224,45.48306677402615,46.72014242709048,43.815985792292935,41.21666329990596,42.223002049601334,42.80795974460675,38.27530428839664,37.03726404043565,39.42895407635003,38.616791303215194,33.46665250443265,34.32460563979887,35.27606433171568,31.466081771450153,29.660993425742667,32.60450119125078,34.71137151486219,37.38728299865633,41.163003673623365,41.44931283149055,42.86177458275285,48.341308888668166,50.16354238741679,52.95928455367561,52.900797780287284,53.38842403079725,56.02836611405109,54.256283968124144,58.78642315902386,57.68767639701201,52.410243698897524,55.3728720807299,59.26123380078326,55.49966963352775,53.9118170121199,57.834336040807,58.150555767842164,54.03709035253709,53.9284859833659,49.62381514800557,51.29771518413842,53.461969664642474,50.85337149141165,51.83490631658697,52.18315660676631,49.79586464344783,47.836739372724274,47.450143049922936,46.36665495105117,42.781832638053395,42.22986752391108,41.70799229511662,38.7933526915773,37.53294224242158,40.77235869207326,38.81401401212498,34.192426603436886,37.0568177135114,40.46984628204822,41.47077894047212,45.05848195062775,45.67807418388784,49.731596788257654,47.29250818482073,43.41682661856992,48.076923321631696,49.26826241207381,46.13656038796185,46.780738461833145,52.291294750969,50.59222151331208,46.564265665789975,50.21930912045706,54.015273451016135,51.804408093419525,48.43692397786543,43.90345158280401,47.40696632046683,43.40750485821775,41.97487415180432,37.78171403058556,37.46594462354371,32.897391981183986,34.17777310814772,36.92124818705574,40.51507701317522,41.81433571027798,42.60586521661843,39.975488137099866,42.59094000272994,39.34917081458309,35.765683658959865,36.91287448672503,38.06681099999063,37.079707781870454,32.46112724398316,33.14889092722702,34.591492026304095,31.261538574040475,28.657837259274498,31.83599131429728,31.031181673450092,29.77736912323633,30.1501236324557,29.729137574904176],[25.317257150933017,28.399710689251773,32.191326002235385,32.19826101790415,35.678291673807266,29.50739366298978,31.368044716620343,30.523414522108503,28.26447628295017,31.871453246937097,30.951216929228142,30.32427033441817,35.38552497416291,34.361373475395965,36.017905470665774,38.18000920662615,40.449931697498755,44.063055978285576,48.278436942111185,50.46373242665664,54.015390180216656,57.97507326320936,59.45454288215878,60.104388954397635,57.22111143169611,53.08732090336738,51.0567585718384,46.78623092275712,45.086188984964025,42.57531979147403,42.26065895801911,41.12424169171675,41.66119803222897,46.187681571676066,46.50961519760368,47.21942903686405,46.29666414866895,50.14297315081933,51.633161145325694,57.0864705741416,55.84654380900342,55.68961951959917,59.631796379742596,60.92799992260645,63.13654427979529,63.03402064184619,67.05286696148673,65.55955757198161,61.69632898622759,66.65516570052353,67.95441083258295,64.66036210950543,66.96322615558152,61.484916595258134,64.73180370445048,67.75676433554203,64.48966862719273,61.44239519669954,65.64383626788654,67.85149461571905,62.826306048553754,61.922391579380765,58.41870751311679,61.23915789096081,60.821714168275925,56.56946000012833,53.6291710126698,49.585672801927565,47.665672640085724,43.45455774707707,43.797079162485616,44.5824024249922,45.21153212147355,50.03600216453098,47.92578662134012,52.49087540718548,53.738213210200044,54.22998609070981,54.91610978186763,57.842484695454814,55.42091177676911,57.0886068660471,53.220121821857276,55.75891014928302,54.782353486483025,51.740139882143154,53.39855517790531,51.200176492485085,51.50892717094551,50.89273079097505,48.77254282497786,49.49643299625445,45.48952836004286,42.408428999858494,39.11686974542068,36.90264003285972,34.397463472870996,36.26856039556703,34.04924538711674,32.40330470892521,38.37153024421624,38.014143280779805,42.67191777825101,41.87597815994011,47.598746037072914,43.90970256651615,45.918314139354415,47.37262978298055,43.69166049220253,41.127284713343734,38.16141600596472,39.79378584365374,35.9780909393626,39.18596783307993,38.28544424784497,40.94330255953049,43.02378009720126,45.5692779592647,47.77492389327749,43.76385530355073,41.88180465115425,38.87494308760241,39.9154465135166,37.926385893042244,35.20027762320754,39.18584328944903,36.05999043973789,40.399803879294026,42.53783981233191,46.08222334420344,47.5937948182702,50.65803068254639,52.96950359963627,51.637060278454776,50.39376896221616,46.74641516298638,47.17533693873038,45.52160618940695,44.69241995861616,46.3190756940256,48.884185827341774,52.87951849822606,50.57261662745066,48.19154704196363,50.03389741088718,46.276033226936946,44.33292590187423,41.24197298547843,40.15072716326597,35.65355427070129,35.02047151032437,30.601039832040996,32.0329997169085,27.489396906717857,28.469013693209238,32.758452223677395,34.18875601226111,36.58162946350278,39.04333170838265,41.50269183811008,44.878562911917186,46.74056512669949,48.6655490274294,51.74989888756605,54.50909231733589,53.824982694280315,55.77211727230903,58.410853065106586,55.845861183259515,52.479168204387975,51.82214645106829,49.36511347222825,51.15978047350867,50.43921703381798,49.44113256472758,47.99861944027732,45.44323598690937,49.04491860003665,51.71388348400652,52.33449586246879,53.80393544153022,49.281457566913254,54.877461630955004,58.20480571171724,56.31858979614684,59.06488536347309,57.75823407011608,63.01705005938165,62.592320417907494,63.42383402456768,64.39285629226666,60.81022672958655,60.23791976761135,57.64859532560298,57.13739608603484,56.897438607335715,52.578736281086485,51.815171792603785,48.54012493266184,45.77691887408657,46.76855142000224,43.65289146199326,41.345434781615026,42.42693141831846,42.62083247962128,38.10401449098507,37.39365933591769,39.4268705983228,38.0880562159495,33.3339855291966,34.31655966865913,34.8680395427386,30.94126865585714,29.65207962504605,32.46646255186574,34.869607863160994,37.01719156291734,41.43813603629716,41.47546218554642,42.54830135428236,48.013247796883114,49.63217766661451,52.475823139368224,52.22378415921063,52.85482782365905,55.42116359279302,53.70498463307836,58.33318651467866,57.34766523260169,52.242484768675524,55.190808183590796,59.22349773310914,55.62435667104727,54.092494061920355,58.04905761751669,58.555636374163726,54.548427973341674,54.505677855559235,49.99544326105527,51.41867181003341,53.38808759223727,50.50754691245429,51.30730402276527,51.31573311008591,49.047749947919144,47.369640388789065,46.626114790030655,45.34036700360694,42.05640042326588,41.54170717378214,40.60702507349247,37.6365589699436,36.697317791025725,39.68078613884157,37.434878339708,32.93453433267409,36.05122367555818,39.2839954219741,40.5971739265342,44.132828230772695,44.919230222043424,49.00742842748298,46.586763989942526,43.01914493942649,47.71631454056535,48.96377616910264,45.97115734491657,46.85137950023527,52.2541929987947,50.70022283118067,46.91127184251663,50.607500120284605,54.32479778432279,52.26429232388493,49.05735266979441,44.64348930275104,48.25766795613191,44.4616783037334,42.65860993880367,38.657161487400124,38.03025534939244,33.50763132132775,35.24753229292597,37.950987482351465,41.63917580618553,42.874830692803776,43.2757844932556,40.75493243487293,43.16974038833079,40.13717021877086,36.070327623477745,36.924591744392195,37.75284884123701,36.6096459410465,32.2704859324348,32.69010687052503,33.74489081990029,30.550357317147913,28.02128405879136,30.78623304183387,29.629846422605794,28.229040381222248,28.660024651506323,28.391299733760814],[23.118090452678953,26.318937796694396,30.227554232462353,30.753183616113084,34.220266745097796,28.25577224868766,30.49056800671189,29.625867163927932,27.948740224028622,31.931105317915243,31.360639059274583,30.536392755839916,35.51927579236615,34.88538409863002,36.752652751400134,38.6631947414245,40.8564316349743,44.72031506140875,49.07046055244191,51.007504851249685,54.722175287291044,58.521673543023056,60.15400274712068,60.72844177923849,57.65694510564658,53.622081532738854,51.340306641154086,47.05946383916214,45.40999065402105,42.74918569886791,43.02352514775454,41.40971785765984,42.17595187903317,46.853771448735046,46.908947271097915,47.650914230275106,46.344689882788224,50.25782326393144,51.58715975169047,56.847393560319475,55.75695467971903,55.926412468243406,59.8263478759045,61.01777831675599,63.32674690009147,63.06968599726816,67.09407029188947,65.57518440970986,61.49246899968562,66.30792346144636,67.59864565913821,64.37041682676958,66.78145163674932,61.284807079019046,64.53092915881994,67.78132693747342,64.61812358484985,61.59435839539953,65.87773274073244,68.15589579123538,63.282225698279966,62.59457770594632,59.17137039899365,62.192128263194185,61.568148512042,57.20831793682514,54.573980862409876,50.48294018272025,48.77096073431838,44.6238719392385,45.072354134788654,46.16949048963581,46.671604698659564,51.39335862657278,49.059718974524344,53.72937405580115,54.60816977188127,55.09422875561105,55.50397375159762,58.234234811023995,55.542676085245056,56.950638762822905,52.85177560253564,55.20742346677454,54.310915016415876,51.493989784412975,53.48488071050094,51.26809112960822,51.96444079049075,51.49659795918081,49.62783380070522,50.68212194489594,46.6579551399357,43.42693270228043,40.00265232101523,38.084361773134326,35.42778613763346,36.834545960531756,34.29405216820623,32.212392592367735,38.227344822256704,37.25255746105865,42.12827150654155,40.81651896773306,46.37510035148743,42.53150884494262,44.18668072749127,45.59597906135621,41.847137302079474,39.44614852575918,36.58183303204816,38.661317220195876,35.12784620972281,38.5729493754769,38.16882287518688,40.8912914743519,43.24949021115215,45.82328335526687,48.433692722073204,44.41201366489896,42.561076779229246,39.38131920212523,40.1869995095497,37.90284120220801,34.87434945443699,38.494860263059806,34.8522016537037,39.19086358941415,41.06161500745298,44.639553226808985,45.95412248798666,48.8634362227532,51.42462184745471,50.169629549076134,49.105298480292106,45.65924807093714,45.88897414717738,44.64570432981231,44.136173576059306,45.904227367469055,48.798441649713276,52.873729241830205,50.674771756960254,48.09352511591842,49.91661758038392,46.21254411096977,44.154812438500116,40.9405143484187,39.52225245711756,35.043665183070324,33.9689982216572,29.771271734077498,30.862964041324467,26.2393921798593,27.92860021161139,32.13347560323669,33.771117581828086,35.74399143858587,38.58833299283032,40.57235514977986,44.12827901025511,46.353439416827385,48.24672249397061,51.30840829041137,53.865660679580365,53.21969753463547,54.851739506968016,57.5222744179867,54.76223154321401,51.57353801081749,50.79576043193655,48.546926079582825,50.32698776376174,49.612839296365564,48.73154502094207,47.186796462436746,44.96782269214718,48.39327173318725,51.088670388378766,51.46082873462384,52.93162242239608,48.14095884336869,53.62814373798073,56.96630123018481,55.25034987313445,58.2941856304205,57.28304632694696,62.43773439246415,62.13635832885015,62.66822571994874,63.46802279559621,59.81922840244155,59.013217916830214,56.27683402472446,55.5643160442508,55.103262357914964,50.8270285236586,49.81273825963748,46.40646855065476,43.66036871372661,44.30316117147288,41.20076111667368,39.10904406710506,39.97052703694739,39.89385504211759,35.49886466504626,34.96316660242247,36.643641900856636,35.0892618659864,30.572880447376964,31.457805348692496,31.720365156406626,27.86460445375112,26.779746104797166,29.350098998572047,31.949396515240707,33.72544047811916,38.5168094723679,38.48363553096863,39.32279802904289,44.774123609850086,46.20551197231026,49.12945971505182,48.90504774609819,49.697445472198424,52.309312218212796,50.779056891642945,55.41357160221801,54.34587668927134,49.423629364397556,52.47795721324067,56.470742644846915,52.91768197876061,51.55071058073357,55.59302430193197,56.046813299214115,52.1030460118248,52.34447846240574,47.632805241389654,49.134998798239636,50.916080128606794,47.82635528103842,48.69570738734338,48.513840126905315,46.502613743868906,44.8250351419812,43.75113628481085,42.574609212859386,39.478311684229034,38.72059997039797,37.60344569212143,34.692426789167335,33.73949082728917,36.45506382781104,34.13968153685955,29.664436743030127,32.70728232420635,35.82086400444602,37.252623799521494,40.83735482567072,41.83298095206318,45.85412998545785,43.29769487561778,39.96702814642475,44.742439841129446,45.86867102781535,42.93043473650969,44.07517832625432,49.32825418624933,47.745761029821914,44.18341555726147,47.99930452187145,51.54565263395692,49.50763017428441,46.45571553182373,42.15239933868119,45.74402348233966,42.116877560781795,39.99600327969206,36.23382793335668,35.47768345110697,31.087519586086334,33.09547470041021,35.826549727800625,39.52553740347324,40.82868471708693,40.9736534827026,38.77615863196249,41.18443945916976,38.4744973709289,33.96081104005452,34.876735460712425,35.40241189252294,34.484627570929874,30.22045537223926,30.14992201721358,31.17743256656628,28.45888064595757,25.454341754005743,27.908076418913485,26.856451331107838,25.483067852953234,26.034097840754466,25.91438205503784],[20.14066722131637,23.27526257641034,27.236215998903592,27.281170149775708,31.051909917277165,25.128750363655744,27.38671697776983,26.995036786371706,25.023417597435177,28.867784233101368,28.504579633330874,28.177324056836085,32.82755616536323,31.82915254996339,34.10589431336617,36.15919498662514,37.97886983892612,41.91697305903424,46.04063296921496,48.16002711928112,51.7785713090082,55.66866370850332,57.14509061871264,57.53515437617374,54.54974456945165,50.44399631823087,48.284041191761624,44.01704735712067,42.653951457694035,40.278359793420954,40.71383960026427,39.38586080546145,40.475506749624564,45.09885188978991,44.92794232519662,45.31306953388218,44.175387164207436,47.698038159922966,48.866619356556406,54.32136296201698,52.85914350767866,53.07634102280834,57.10433864774565,58.107053264324065,60.233081222851794,59.8490297529364,63.90688373350062,62.603615650594364,58.48772203739631,63.29123977451318,64.80108454096548,61.6581166363078,64.24482249613472,58.730502835316415,62.28032617274764,65.37308264778825,62.04186631495933,59.26506169616017,63.636657494339445,65.63310670431123,60.69967215922954,60.20606508046185,56.899689400694875,59.6906837193483,58.91982746580279,54.63054980803564,51.779840343130296,47.823147602257855,45.83946731979585,41.81762196990698,42.04751426163408,43.17596944135358,43.97131718164807,48.688526056677055,46.603019862565354,51.51802399617408,52.32105316914335,53.13544023338725,53.44552399462708,56.06250088502157,53.54028248999576,54.79429543100202,50.91940676230661,53.12480852101461,51.924296630532886,49.201643275361754,51.10840064528,49.25499547166922,49.67085147836624,49.62556415418361,47.54582857118488,48.72379066274714,44.6952703798143,41.608907171343006,37.91930390940046,36.118708644209185,33.14219253658049,34.99551394174471,32.43226608163104,30.927293558812643,36.59641137874281,35.788262848432474,40.35878726247167,39.083095851078504,44.5053344350037,40.49999651574681,42.37725288233497,43.516088744726694,39.63567422916882,37.38541252201489,34.192582748227586,36.04414463810874,32.3132290507105,35.50986701624183,35.02942809245431,37.53109730440349,39.980152504268474,42.338268418378455,45.07823000201198,41.24406306809074,39.184439463405006,36.01651293609943,36.570725410665155,34.37454515425221,31.447817860983974,35.18139335584747,31.867853257150564,36.28712663918893,38.37935848601248,42.18056297786447,43.296466199998264,46.47870906981313,48.82041239602062,47.80915824730164,46.330831088055035,42.74073863066023,42.77625033935259,41.34408713499704,40.63877319274018,42.53354739821192,45.183476022296865,49.36151395539833,47.32944155149651,44.827803074882624,46.85240562664599,43.31620974657364,41.1315079893301,38.15239754206105,36.91200019668132,32.446478814985724,31.76061101636445,27.709732448339764,29.48246170157775,25.164776309068838,26.64565488053793,30.65211020371952,31.805441287828973,33.84098776322513,36.41183843037831,38.32401825540488,41.46762125307767,43.72378806041434,45.2394169624666,48.536916385912185,50.89362017457174,49.97060759378831,51.74875681385525,54.244770953895,51.51029082284478,48.23878872788648,47.65173892167574,45.405131923053084,47.4757868113892,46.99722932736674,46.30974634922021,45.07102912506885,42.806264550138295,46.58165552879016,48.925498406374935,49.42262614350265,50.49839709159908,45.84348882269078,51.27850126025107,54.51316000696661,52.612797882356375,55.636051790590784,54.57067433169642,59.66907291964828,59.05741571368078,59.733734227026396,60.491350429855274,56.970090595387894,56.155849780019715,53.467385491261425,52.88202487721772,52.48136559064565,48.07328598909767,47.31659615970366,43.90694357261611,41.366894651201854,42.27883088873818,39.39775604280195,36.96939010671029,37.76223498743697,38.12877922983183,33.68231098194097,32.57144182639052,34.68357692816016,33.72880904118363,28.705645018913987,29.501967569103563,30.270703187000134,26.48814509584763,24.805383021795105,27.650721631949878,29.90135613586403,32.355319721542386,36.421268850059704,36.594402726556886,37.85822613101626,43.34066476158964,45.10277221327779,47.9124071955677,47.847474733911945,48.42765208109938,51.109783056466185,49.47901469356877,54.011529247539144,52.83849453653519,47.685387058799606,50.748205195467115,54.6059918739913,50.87444576035061,49.42081808015789,53.432013089285654,53.709100555164234,49.64624879954496,49.7920281612522,45.2802037695375,47.04702613505213,49.04879675859128,46.26319667505129,47.345570341847775,47.57865566866229,45.41768853589671,43.39187829661776,42.75274790109026,41.824797718079594,38.34082441526477,37.536999138318265,36.946391058063476,34.09689772317171,32.73050949930255,35.81669548597017,33.88154972649805,29.233138653485966,31.99152180586423,35.37498409694291,36.39556972795169,40.02785040086762,40.777187460968776,44.78281645650407,42.24656978734586,38.496998927793676,43.22605328286303,44.33731512785246,41.23922794583671,42.07358157591484,47.490165358156084,45.79484975805092,41.92634438820773,45.676657689851616,49.36005797642902,47.201354679829706,43.952426772087264,39.505453233695015,43.071894484811935,39.24218660962773,37.506287784619104,33.46113866673091,32.949182380243414,28.447620488333328,30.056870219277677,32.812534077289165,36.46609587804191,37.79439656367317,38.3073022571696,35.96019488890155,38.5817744495323,35.65967681907839,31.599146783282453,32.85616592984678,33.749129199658114,33.041111142843235,28.410878910106774,28.637626380282544,30.16162009761951,27.298199449340082,24.141544844066537,27.148797182963953,26.57263854403981,25.410352302465235,25.89586464371982,25.600352054208624],[18.752245592917152,21.477257744422655,24.849839355255355,24.84460686348065,27.979280035598308,21.733851390433585,23.63033582726008,22.88747274926641,20.862326489650428,24.75531259578814,24.28918247722871,23.757446279825693,28.51570418281367,27.747852515422007,29.873281738936022,31.817996237257113,33.77786751502578,37.72558696072398,42.00146322412593,43.96727539440879,47.66868850720022,51.48133391329571,53.071258177621914,53.567654629318184,50.49584104161408,46.44920296366181,44.18377046559122,39.904995090788,38.388723672526396,35.89422220313971,36.39041158874599,34.92036173161358,36.03696434705195,40.692055319649164,40.473871758625386,40.92082066601339,39.716519203937715,43.348386184894466,44.59147647695906,49.991114695090864,48.68469533842779,48.858105361280266,52.826499649107646,53.92701020512617,56.1654264489475,55.88819699537378,59.923931694668156,58.46957613690479,54.404156782126506,59.25800294788092,60.634216825824126,57.42638398346056,59.918510146146765,54.408213892267405,57.86534187625619,60.98446493175001,57.70591303460715,54.85215749175263,59.207053048193785,61.28516545543388,56.38582006459211,55.87272370312692,52.559529200533426,55.4662038713111,54.68481857246946,50.345462924040184,47.66464664207534,43.63819703024852,41.85607753249774,37.80553466261279,38.204944774573896,39.506754011140046,40.06613235589306,44.71650887767791,42.44451506884238,47.34935036984031,48.019197274777234,48.78727783539892,49.03279778912311,51.63255861912894,49.061350839641456,50.34499314163959,46.45445923159428,48.72281347820703,47.5860722471449,44.791007821912594,46.702376567339,44.774998489142206,45.27331258542275,45.202365696045014,43.21032669921914,44.505297177451745,40.474540486793074,37.324483763273484,33.60406934180521,31.92315618030448,28.92339145497801,30.573689101880085,27.95162199314619,26.454024047991965,32.090830725824546,31.365926046267255,35.89890115423946,34.774621865856545,40.300928428075956,36.43031779045915,38.497827179854305,39.784969619007875,36.05092566555343,33.56064174117543,30.453183427755793,32.08671684137519,28.307286238055667,31.580046546872612,31.003030810619332,33.689673927253395,36.03205872862406,38.59489188222025,41.246278317206965,37.26174217089632,35.37897904030059,32.16854702436818,32.97731838077433,30.708313430253344,27.747707420603124,31.54054921376269,28.266478467621397,32.61006682076617,34.755227121487344,38.36253637991225,39.82204293751739,42.9506253481636,45.19808164691279,43.9526826370287,42.61262465119666,38.98481884271335,39.40357128124606,37.82670468910321,37.153197213859855,38.82121191332161,41.651274131376276,45.684797407305155,43.46133323714418,40.91496053571647,42.78444117665769,39.128974507729886,37.0398271165956,33.936815665450425,32.69543884212614,28.2086534679538,27.553978108993185,23.35737497225008,25.200281872769047,20.95643646564572,22.204597265736965,26.199427884868005,27.337315921407075,29.46921800432665,31.99380198580707,34.08024486407906,37.33230332875371,39.45528020603146,41.20331786960373,44.35989477371484,46.92291067700298,46.22556426959905,48.04960733815213,50.716850881530746,48.114557825683285,44.79255895208856,44.07230224839331,41.67194448527333,43.50664833782364,42.87706655713693,42.050206679378185,40.74557524329545,38.39534045329234,42.152190045594885,44.556357183322966,45.1035173526929,46.31307058835793,41.73177760886123,47.26020119786912,50.542952225678135,48.64044416591223,51.52219552644838,50.378073290229764,55.547709468426646,55.10147018854918,55.795728104251964,56.68347723725272,53.099380576101346,52.45951564118801,49.85599395978723,49.35454894673101,49.15333928561033,44.834588495932046,44.1540396126665,40.96691697345722,38.18941592677481,39.437021877433935,36.365576810835115,33.8556996647603,35.12354464794931,35.601321786085734,30.97368651788228,30.17153795111325,32.578210937403874,31.53241526309034,26.481011645030797,27.73703094059442,28.746294726942395,24.671894618145547,23.268430931058486,26.707191502478892,28.761547198192076,31.473107578835243,35.41135772965623,35.18579451076668,36.62952333815701,42.03295103748981,44.209766879008725,46.68367318031772,46.22240018240047,46.47403187765639,48.94465322691019,46.95338684671161,51.53100717133726,50.66009107653791,45.29654084010689,48.09879510850777,52.17162692416177,48.56748617449146,46.82673996936089,50.686345697825146,51.32754594917534,47.3125736448321,46.95869869143105,42.59411553422124,43.93783496667231,46.06650763519055,43.44053406774122,44.292257777872855,44.67893190772908,42.19206939813012,40.28538477726543,40.01015180451079,38.854062505799604,35.19829923183946,34.803014761289106,34.374046028499215,31.43314482030561,30.22416531265549,33.71589566729541,31.861025486966486,27.266606703556672,30.31845731032683,33.87422450692121,34.77097747690652,38.16158979098395,38.50593740773293,42.66439724328969,40.55030906996085,36.51621752243513,41.028827629959544,42.53762177068168,39.52958942638858,39.95012703058667,45.557105769888416,44.25296711094634,40.17249199749071,43.58937870726952,47.59052288798571,45.74687981703836,42.39213773366292,37.956935384070626,41.9160808855915,38.1893560066682,36.62972738745855,32.26858358749913,31.319365338854954,26.64246011372839,28.557105792577804,30.98831897831119,34.76793203397092,35.6931620841773,36.03653343038628,33.20028699660471,35.52642463836746,32.382216522096044,28.511042110773086,29.408506676454877,30.502330855310543,29.445347492858982,24.882331365411744,25.65142592834093,27.0295691627054,23.662299393408528,21.196062834559427,24.511977351820466,23.761108253270788,22.646175526627516,23.015803309895656,22.61558790131067],[16.61989634393357,19.200360049846708,22.65021504850873,21.962574899070123,25.597630923086616,19.536184359187217,21.495924806173562,21.51613291826489,19.104645505798576,22.73161877770942,22.595262360190134,22.820632901222567,27.014436918324535,25.70502360723052,28.40822861759526,30.5419805251482,31.957304806989473,35.977837150243005,39.91103843834064,42.13076697396112,45.68154957092735,49.60963633946894,50.98007203680073,51.22470257769806,48.281349143815795,44.14428432131293,42.058646012309836,37.814208674141206,36.70972239279905,34.62736542338936,35.319167195915696,34.255501851099524,35.760252873996706,40.289160890567906,39.802922166836716,39.78729077777821,38.81529865630848,41.907813369990166,42.92590625384648,48.55379958428246,46.758011754719234,47.00263010682448,51.129437858184914,51.973388581057115,53.958577321114916,53.501013742874875,57.57609397643395,56.421473851378444,52.31114150815456,57.128654648337495,58.796116580202074,55.71477210819969,58.434383483118914,52.918410058156304,56.748858669574695,59.66581795746509,56.1845867176312,53.655433993725474,58.102923353802076,59.8213133824681,54.85734420054254,54.58646116507062,51.431067693858445,54.023335698962605,53.066147872364894,48.839454960547826,45.86733074669924,42.04210322338437,39.88500138181727,36.02375858821036,36.103478934421965,37.410227112764716,38.38717862435179,43.02144186722611,41.107683651980736,46.291596666034295,46.88717285198721,48.0605664678455,48.19566115577824,50.645859372704805,48.30179777327073,49.383142444648286,45.79090699006708,47.847854879804494,46.33279404410537,43.68629686679216,45.48352278271486,44.03244540343216,44.167163727175065,44.62100958807189,42.36968053316202,43.78424782839662,39.78304596878233,36.85662123755238,32.85312131822158,31.32501415410452,27.95785437080922,30.20113906229232,27.60855586762233,26.881561066640916,31.968667750781893,31.442582934338628,35.535057097602234,34.43509085057459,39.70249450061664,35.64278849882814,37.919768374400206,38.82825681408954,34.93718111884303,32.7193848361522,29.214336356669836,30.57002816656417,26.5749264589542,29.463104731412376,28.80457958445479,31.141889934131783,33.6225378589833,35.85153837821149,38.69142736579036,34.994492573574256,32.80458058876872,29.625288989109862,30.03601044576519,27.902895256137636,25.100839458905238,29.026920453414228,26.22481968321462,30.65341761922432,33.06124052013707,36.9630965702892,38.08914426448514,41.54857866321448,43.530122928148494,42.64402202386349,40.76523767738719,36.979755001152554,37.07123145623885,35.28060632625737,34.34330154663269,36.218628101104905,38.69038787303445,42.88378168446743,40.91593209592801,38.48635228730978,40.642455927369284,37.24394050176031,34.97818908155912,32.231402746776226,31.235590784583483,26.822399886195008,26.69535464703248,22.821760125307158,25.495042428092578,21.7737709407024,22.762404413699763,26.377326549478457,26.863101318145546,29.012840915549006,31.154125523648894,33.08268060643294,35.750415723971926,37.92811187483816,39.131861116432596,42.606790070725246,44.86402933824319,43.77248104868121,45.76576714644867,48.1750378579656,45.5826895938399,42.17126413759773,41.72332527142833,39.363242509645374,41.61102651356286,41.31393129303778,40.766199194891,39.86767050953065,37.501125407150724,41.66291981146176,43.60214313984683,44.28624726622988,44.97266366628617,40.572115771105814,45.979939994161555,49.10892874987302,46.98948727387259,49.866929192753275,48.67815449899645,53.74660068552055,52.88611401043154,53.7512826392974,54.55676420295959,51.149992136349574,50.46453377170383,47.911025280885,47.54969219671675,47.38019375769335,42.90086654636245,42.52564006334655,39.313638461726846,36.86450637730262,38.36056340877075,35.636385907195844,32.76250591198658,33.832355500484205,34.82278202166037,30.248035436162787,28.678440057402945,31.526140949877572,31.239796550217775,25.69873742160279,26.726183109280257,28.27425872311157,24.466685770587215,22.329368495572503,25.88517747538981,27.49968818929877,30.89968062539644,33.93773630052592,34.03941539851162,35.92080012951248,41.300468708110124,43.73790263644963,46.12388836672234,45.934054511525616,46.01663354469087,48.59149888074924,46.5849283379442,50.99692006870815,49.94491554710877,44.40597272085325,47.24987649756551,51.089305532559735,47.2739580616169,45.503891547856966,49.331869758490576,49.68149441903298,45.541918122041906,45.17755257512427,41.055854036213525,42.79601654734729,45.14441610007096,42.86601350305964,44.010443145505064,44.8344633930488,42.28253554964072,39.962705764415965,40.11669323643942,39.31616380072417,35.308140572245044,34.77339580371899,34.92324064069695,32.13529836815943,30.44180864925153,34.189707932415,32.77929163103753,28.101713890671352,30.684487668757487,34.42135841819846,34.87103973456693,38.310540581207086,38.46140085574973,42.51191655059166,40.354254214603685,35.95919548075403,40.40135996845954,41.790318104774016,38.613500540366026,38.74728395467511,44.45073060073201,42.945367407340164,38.58669689029895,41.95908503316174,46.02599418299679,43.99117435438525,40.450316647757035,35.87997358447801,39.69933645386104,35.741375406469146,34.639809503747095,30.045519819011687,29.493756523069948,24.791370827122854,26.095791194484285,28.574045805265353,32.233209004430265,33.25269860274092,34.091236022658876,31.187878078291355,33.815945614155034,30.471168908674805,27.21144079840274,28.608309243260223,30.102084717426415,29.40289861146237,24.47072317047894,25.485543844481526,27.46402137140347,24.13317141437692,21.417823909545035,25.212966619324995,25.078115467409386,24.236535940681502,24.5466851004518,23.985217698572818],[16.2517669998084,18.151962250552874,20.847112335048532,19.64066433824523,22.762060863958524,16.511234787214562,17.93204550819525,18.022228917578673,15.149721979652131,18.547030085052313,18.41883905308911,18.946715931302847,22.908896468310054,21.441414133701393,24.28474806273318,26.459512838277654,27.727295242885138,31.750931288172346,35.6374999635791,37.88097062602114,41.410081907712375,45.35096161395381,46.69738983800617,46.93720826829153,44.00426889080753,39.857409065786655,37.80348190721807,33.56286620963965,32.509280441328414,30.560212437660176,31.307737200991813,30.41525472155906,32.11048987493556,36.55436607948184,35.930286978995255,35.72628914122625,34.88483525156614,37.787279362042554,38.79432716761575,44.517274841587124,42.60437450206515,42.778358143590154,46.93351446950127,47.76697927777425,49.72092633793037,49.31041391843343,53.382817416575826,52.22859415339944,48.188828076449965,53.061275552433635,54.73754734716119,51.64441084147111,54.36048047531548,48.85485259099876,52.77178150194516,55.57573851531209,52.03008069486781,49.580028137187966,54.040890787342384,55.652668314387505,50.66308705105825,50.45235026445583,47.35599476225935,49.87006968893588,48.852297665517696,44.651169454624366,41.64449358421479,37.86047695241719,35.67383749605352,31.872740962697613,31.937716603619567,33.373012607552894,34.35029322454619,38.92319591451222,37.04707207018393,42.3387411868831,42.83109935009231,44.16225212980062,44.227369485600015,46.61878696854085,44.39188455848249,45.44735457361162,42.03797497224839,44.079183095082016,42.42771337232208,39.74645995387113,41.42310175502954,40.14651804993408,40.10520637574874,40.7760348653603,38.43815766363435,39.968950988925485,35.99662177637203,33.16354583976191,29.015212330584376,27.655062709251574,24.09486724883769,26.542313151845,23.989550607110363,23.8182588318504,28.486270320071092,28.281714728684978,32.01982601843436,31.19821759021663,36.429387956180456,32.468925403566615,35.09068325825525,35.959873833479705,32.18724565944692,29.85724853932013,26.255357532971185,27.11641499858973,22.911254955903434,25.590732269679727,24.66155131849751,26.993318688951494,29.376160364721787,31.64342883289353,34.411972337305954,30.705103334606164,28.52486820287303,25.34421945630962,25.867803044338977,23.792288999926612,21.117213864180602,25.271430063100393,22.92685714882557,27.27685871955376,29.918961142737565,33.734923187101636,35.07411467919416,38.64697753151484,40.34801208995132,39.394674390501514,37.361884707473784,33.43117333406276,33.79239228907997,31.662379151160827,30.55235683412248,32.26206497609919,34.666295905217325,38.77584606295144,36.71824697583229,34.34204236816211,36.491944270740426,33.09264794268777,30.856559579955665,28.201505864244837,27.418376099696186,23.042828428190077,23.362240456031174,19.53041383039083,22.785195281900634,19.577788480597317,19.972917944458672,23.288909613692745,23.325601965702198,25.65616431481288,27.43239326879587,29.54649013398393,31.962343455858313,33.94984329647927,35.11396748694387,38.61008439434427,40.95918306874867,39.892891761353134,42.07609854431001,44.518590768437285,42.10727200392517,38.574759921561956,38.15308024672899,35.61882780117049,37.83340662014742,37.55188277145304,36.98388382203071,36.25066741684658,33.731790687254495,38.10151927617936,39.853112440532655,40.700428694238845,41.25671644610594,37.088056999938786,42.527406232985264,45.61736308940122,43.36435526761626,46.036538272555795,44.69235409725947,49.79574545475799,48.87721692075595,49.898600207400854,50.82490663006351,47.4564701049125,46.9676652033729,44.555706200753946,44.38303208152959,44.4667690675566,40.01725477073457,39.90931326932879,36.951658523137816,34.44962929410252,36.43167160094516,33.71999280289495,30.597828122087684,32.060537273213455,33.421081290965965,28.767274362961476,27.139725514180096,30.468617030389872,30.47222531324756,24.803088865512986,26.139437319583212,28.129477240428606,24.294387145760194,22.152521321381688,26.17246194357139,27.35260820947682,31.2146919121324,33.662127302575676,33.555297449939566,35.77184540633756,40.9901338330443,43.873642948115915,45.90452679356979,45.48297510665529,45.18675670464175,47.58552316330521,45.24303051853123,49.58569121100362,48.74772179649024,42.97010868680593,45.5499797150761,49.45848431016422,45.692900971915776,43.634421431085435,47.263125377839614,47.82687921776622,43.699075740649725,42.81515616197688,39.015380089967046,40.505733818848014,43.083479518518104,41.16441204706619,42.2009700287771,43.376820342158325,40.48521643282229,38.11966123410991,38.848165892958775,37.98812668659749,33.69784952836252,33.52929036146344,34.099476987594215,31.343859481257994,29.62694198987924,33.79632943185978,32.67136207495541,28.126481371472728,30.71190256978798,34.594622856690954,34.74110681113981,37.924392350139726,37.608021977079716,41.702417663110474,39.944266418874456,35.185545839267306,39.32367663365871,41.017131940603306,37.886718461980124,37.480115821938554,43.35076210169928,42.13213478776477,37.485656819917416,40.470846629414005,44.84079980473662,43.025615745947526,39.32773872078631,34.756155073749625,38.82241784188314,34.8895871607584,34.21410818113329,29.290184028138164,28.54201440005255,23.769316230624174,24.994825674521746,27.108524530555677,30.757789323517258,31.398338837729312,32.338228323314084,28.898151538305232,31.344448657649384,27.6445161719016,25.04886542748009,26.28814245439903,28.20993706472996,27.32164142450166,22.373196646480064,24.118398537308494,26.186083746874807,22.404597278671122,20.444563779694267,24.643047910788887,24.60667683473949,23.953892182615753,24.10409395496985,23.372783594051715],[19.89797612883938,21.467992983607708,23.775498810100302,21.8169538610567,24.740434125224713,18.622155723812302,19.231775525531262,19.442584722033086,15.64192402211088,18.04762631928271,17.352443958359025,18.454070622443542,22.262382133396713,20.00873859114003,22.636872849252196,25.24139821144744,26.46935667502795,30.09266218386785,33.68876299807351,36.34029179832042,39.59470270707064,43.77173525345831,44.86252759187046,45.15937141146456,42.517455001802745,38.22778144911963,36.58456599482365,32.39704173919259,31.363060976388688,29.763542506014215,29.691040552202235,29.61857282247912,31.090447856600722,35.24926468945185,34.90820192605668,34.53224774812759,34.305979993650475,36.95339691011814,38.13830603045881,44.12622157796228,41.928387034445755,41.64616939336974,45.868823603592446,46.79553106237329,48.5588849240423,48.340884472848884,52.391118815160794,51.321926640442385,47.60711533507694,52.6401792177444,54.35774120071426,51.216239842270504,53.80819707184055,48.36433080361193,52.32621484778944,54.77344974488369,51.06560835686323,48.66536812652244,53.01797170754037,54.45242804027708,49.26514650604291,48.82824668045487,45.6756287929405,47.84562305242164,47.05412872434002,43.032035735448716,39.546035915024284,35.88081235906449,33.30899825946478,29.46203916416486,29.2896208635374,30.310189597384742,31.581720741711216,36.303578486863586,34.82184806978161,40.063923412213704,41.00717093503476,42.46124874023407,42.851401559644465,45.450311788588955,43.65386929125903,45.00519161798081,42.011890570321434,44.238770866721474,42.42188395690027,39.48161287383316,40.64733968970979,39.522039043822424,38.85515319133694,39.47064768376791,36.732755538257685,37.87240437908832,33.94042867284344,31.393126460357475,27.34784172206927,25.646440007325364,22.172542016137953,25.493397047502484,23.476922627341285,24.186295445133236,28.499269737004983,29.231481382006262,32.4668376694855,32.41180444242792,37.70422844834786,34.040119911744405,37.11530679811005,37.98523010605457,34.40861967778748,31.948443844343444,28.30920575731445,28.410011349482648,23.900232446964022,26.015427516098782,24.25030103013864,26.36665771252104,28.27075617656692,30.42123899908601,32.57267209438662,28.945288647204887,26.66354270660705,23.790028809058022,24.656758963508384,23.15525356427483,21.140446906764975,25.800507109143858,24.49346934574841,28.642933983328213,31.625482334882896,35.29399187836845,36.85961042279708,40.59112281454876,41.8705303325642,40.86058840967325,38.55548742297696,34.39708295668079,35.035470042792376,32.29648157560888,30.67191635712184,32.12758207495551,33.93515336880225,37.88892910802557,35.712926932857684,33.68836254820331,35.88305887509485,32.48850872413337,30.43753873700494,28.097153476299567,27.904723013253776,23.672841664263522,24.778378195492103,20.859975090443037,24.57824385662736,21.74873035109836,21.05118534270345,24.243369840129787,23.81762744842885,26.705896359264948,27.762464925487706,30.51139497059718,32.4947955270197,33.893535765612214,34.99791537782783,38.523524184923374,41.09779522743468,39.945286353893756,42.58723805503027,44.92576866004549,42.846813532387245,39.09772983207614,38.88894700225358,36.08649885127764,38.325047277927865,38.08348375802671,37.396673407725494,36.8953497141009,33.9330979812837,38.55890117512571,40.15486693903119,41.365146780627676,41.82566970738232,38.147842522111404,43.623053015737966,46.62936867271595,44.14020630185479,46.34732391956303,44.58965126164092,49.77252056161638,48.632214509596594,50.09364234964058,51.24378216021592,48.026627237739575,47.87850932509221,45.72251156966681,45.856619899064064,46.26125432972678,41.83177232992334,42.1050493456131,39.41023574812906,36.971739134672326,39.38926772528397,36.754863708398446,33.431168939013425,35.13553844449935,36.820865100063244,32.176140292618,30.373368433659707,34.03067818084614,34.300962496450936,28.574519334768052,29.95915541792952,32.190078694259746,28.42385576583339,26.168673758347367,30.251425599745495,31.182070278375726,35.32497876086944,37.28972114456234,37.272854073637106,39.70865202798337,44.83750851786691,47.89130465599511,49.80044163675894,49.35809355625978,48.865821329915214,51.17404498472226,48.63589809952584,52.89506919097722,52.16748597825232,46.24791112987926,48.64091982089109,52.52674488494615,48.758612253205165,46.5150391503602,49.95685068031324,50.57641594772005,46.43590502217327,45.16740588716398,41.747462145654886,43.109088724774935,45.89866389780696,44.31274088399947,45.25522009388831,46.67475665273148,43.51440799101448,41.17485111940502,42.32109774955777,41.364593848089214,36.93398032897891,37.063446553768536,37.84283903755174,35.091918514697234,33.439671987058105,37.78877860633722,36.75436260144974,32.29094797785474,34.89432222915802,38.81095401827402,38.837077639405024,41.9056866756284,41.35477214603231,45.44553825804591,43.876389291922536,38.9388219086292,42.88334135051891,44.68868071527631,41.55586697110955,40.81996550981495,46.75636428807627,45.59911390317005,40.759485251845376,43.50815727060807,48.02130045661858,46.21748647472082,42.38977730301623,37.78930110607368,41.79006480961809,37.737060730058154,37.504212304936125,32.42467668922142,31.87393862060537,27.15453755973056,27.94526479472932,29.90816321416861,33.393408859060145,33.901958604359756,35.17768900684867,31.398274529965136,33.764124542821925,29.71670535337951,27.945414892489143,29.05702119090926,31.32314592858414,30.196516862364238,25.374174073681985,27.664305861154247,29.677746285023215,25.493356716917212,24.222058436901257,28.54406707988037,28.37784266846237,27.714296336391957,27.72880935441272,26.861667700182515],[22.179374985473842,23.27867463193483,25.126047758881164,22.371502508153906,25.17213668675346,19.565056596055374,19.549482219687757,20.29490474012708,15.925572963882571,17.179235166517866,16.391933004350616,18.423403401898216,21.418789272158858,18.29167478422933,21.113436964949845,24.0404485731805,24.770313824860292,28.068530205581414,31.13955506274823,34.20086326288829,37.12142042036803,41.48237822406969,42.24870096271355,42.413966601357,40.07316544747957,35.67664972062444,34.45806275975269,30.406932825824146,29.703095302605966,28.683262137832166,28.231483683451845,28.988292018038486,30.56644541198937,34.341051610030625,33.9788788411347,33.16410199430665,33.50273316015289,35.54815652995433,36.676436051809205,42.898742743953235,40.225055362864296,39.686416056420995,44.00756254280718,44.81883105024274,46.27897334355152,46.08347302631749,50.109852382790834,49.28740299843439,45.798617962808095,50.87465667481578,52.77814729461435,49.71074316257487,52.33882778792631,46.98567080258476,51.17518040631237,53.239463363382654,49.33018862802108,47.20195339201518,51.50308344043606,52.57435348740659,47.26703966278304,46.86074632811302,43.82071871025644,45.53573228720951,44.76623547569352,40.979122596549665,37.02767778053536,33.640877213576445,30.583079815027745,26.930637427589616,26.35070458280214,27.09709474998397,28.865905633942344,33.58488272097991,32.64808957700071,37.986847191721935,39.12698457287848,40.93234992919822,41.42934296556069,44.01158587841172,42.665949765926904,44.04524386265933,41.562854796801474,43.73352250090641,41.59368744595303,38.63018435875626,39.36702257160953,38.68747785383019,37.383267438565944,38.336582149128326,35.219084547565956,36.198727983302696,32.39933128014184,30.268414464314002,26.19628588885206,24.48969761962523,20.926427021348328,25.10256444826943,23.540518584935217,25.28350076431579,28.80171417061271,30.203942596590462,32.733200620274644,33.177794647647445,38.21902142797978,34.72394856590995,38.15513036716197,38.79718179690391,35.351638706533485,33.009963068890215,29.237737153848776,28.63999563778324,23.964722575090967,25.339661605000046,22.970234019996266,24.613673773939322,26.198709423113602,27.99272762487313,29.786638584894618,26.488159945587388,23.95910385193633,21.41735832426896,22.24429795179794,21.33735860784156,20.04077121481253,24.975938118777595,24.77866274332254,28.667791529290742,31.95680705154407,35.58845022454663,37.10890468720015,41.060116016568756,41.870508944710814,41.031066844304306,38.27398510694483,33.94504479344898,34.60814176785961,31.348610945510398,29.222162342729305,30.56500644457031,31.682995105414758,35.55378328369099,33.47696838344105,31.814350322700196,34.18246378768606,31.029624559925793,29.042278697283507,27.233297866592725,27.622247020951747,23.71844998099054,25.635757026170875,22.084694948759495,26.384167343880804,24.229663273947498,22.821940713494293,25.505000510028758,24.3848419410208,27.49518867827143,27.794445408155006,30.761344075642263,32.025871078929505,33.01756959933036,33.708351953227684,37.38729151761482,39.89333896371639,38.46843540320728,41.503852787947565,43.60114087742773,41.80441280704764,37.89758224661376,37.993689475851774,35.061476103619285,37.51237574383523,37.50185268580505,36.91941650832425,36.84006593934165,33.64765885696138,38.59665516812002,39.76003781569297,41.27319178971287,41.339465640350326,38.17179369700729,43.50619045006249,46.32418329658757,43.57891609030231,45.42966271173002,43.38347511248292,48.49968156501236,46.974175819833604,48.827806703523414,50.079798834265155,47.103602463290976,47.177326273974295,45.26146478085335,45.693252452605904,46.34932394214657,41.91924954202083,42.62786682638621,40.17025747061627,37.97683710950132,40.80340504448986,38.436204917524044,34.85731798968039,36.6275471848953,38.76279457040257,34.2407770624577,32.02650771184505,36.054711555973974,36.84593523812775,31.001859986239044,32.324791693913745,34.92409744225899,31.389860988941123,28.85338540714917,32.971938350002056,33.491632257026474,38.05481156568328,39.23591980324243,39.372944208506546,42.13424403540139,47.102336621590105,50.40783504869008,52.12736627900454,51.76082195584802,51.02561440605407,53.27852012594133,50.59719771392728,54.673039377392705,53.96433413989891,47.909801381947204,50.141687125962854,53.868169004161075,50.04820324820395,47.66098147303968,50.90007718418009,51.43803959610963,47.283021914009716,45.702838111565285,42.742072443666906,44.16183611398645,47.18107422041796,46.03655800780576,47.03866705984056,48.839948693473325,45.49346102332857,42.995191285899104,44.6431354728616,43.807927136875875,39.17135706106933,39.44454792866914,40.64243270329359,38.01296372501575,36.20987709493758,40.744494846508125,40.00037673820434,35.6321650201559,38.007904029199594,41.98034968099792,41.70980878389637,44.65732703617615,43.83095812843155,47.82302388842596,46.42056183934332,41.23861910935231,44.93294127882752,46.771643081824024,43.61414537875093,42.479807269881896,48.44039729779084,47.29228100548664,42.23513648849908,44.70901320848038,49.32969136545324,47.50841259130122,43.54623437627096,38.95047020978657,42.824078184116274,38.67655525944013,39.000987125935026,33.779972062760024,33.49612851109719,28.93277308952058,29.155348363282847,30.907119261870438,34.13334715476263,34.515367267853634,36.22103514763897,32.203678022217645,34.57701312788415,30.269206232712815,29.47047539773395,30.695314252874077,33.340065331135015,32.26671949411957,27.49662285987987,30.20132018689898,32.40955985390733,28.11955345373894,27.21153891911701,31.710209859486515,31.750753195896262,31.23833886595562,31.15687015805558,30.1807227613333],[27.72437912615706,28.913162445071656,30.474640834346452,28.149614187149883,30.029989544531812,24.0112832074596,23.270933567820677,22.778163848110733,18.211831884059517,19.008792424573763,16.84475813973108,17.947396251567167,21.85416239942619,19.026005147474006,20.131094819094272,23.21045806329527,25.045362314803587,27.60445504625473,31.000158266591168,34.01578923591515,36.86521961005317,41.26215754480882,42.14156062138504,42.90449964308649,40.68762563126698,36.351913555327265,35.28747530836667,31.287753141899266,29.75336941641791,28.36750516348683,26.39218919730633,27.51049868642082,28.060027520066008,31.667326880334674,32.19702249080406,32.026773558438045,32.75831623589118,35.48441217101349,37.27734234301826,43.37458654121575,41.287126628542225,40.02677533319135,44.097223673400364,45.527049487648554,47.23693151089442,47.64794897332729,51.53822732882863,50.23821673254533,47.270676032677855,52.592359572889514,53.988685411544886,50.6283699862752,52.66577250931,47.41663564081809,50.97553440450734,52.930727024209936,49.194632820392364,46.53162961897352,50.51080636816686,52.01235622960224,46.58079218449697,45.41214870446095,41.998650757650516,43.85940470286986,43.73620188995523,39.97582001879489,35.99832707486678,32.36776882421021,29.629614639534623,25.521390475624564,25.372459036187653,25.53035548742472,26.706624301353017,31.65448324703948,30.495116856678408,35.21032271484422,37.11563200559461,38.323016302376985,39.47280877628134,42.61419359134641,41.437475932066555,43.57854120394222,41.12677824051717,43.91253377069364,42.235671714711124,38.667862873267836,38.93879152910677,37.585535081987516,36.107146419171244,36.000761848064506,32.802289539401066,33.00584535648795,29.179793491704963,27.016501759930026,23.627171528894884,21.078826497792807,18.411601250798803,22.71225282055745,21.87564878996172,23.593428887440986,27.489976513731012,29.84490515824479,32.417942088002704,33.82538173742535,39.3804300156266,36.55170391272146,40.23506513841985,41.488703281179724,38.497811882987115,35.53558072974977,32.307407889222766,31.338342755238653,26.698721832088903,28.207580726358568,25.123596443679173,27.235684369178266,27.926724896570967,30.27732531427189,30.85434174656472,27.077093083841028,25.212222588265796,23.068781557605604,25.189689527008685,24.612087023733753,23.65534107156982,28.73516060595151,28.64727596611411,32.2303697258485,35.45067669963392,38.43257170060808,40.80667654957713,44.4111254129164,45.17071296898368,43.634578636990184,41.485560342252136,37.17461444516639,38.75701082692867,35.24342082082812,33.11515658867196,33.73916421236484,34.92321547941432,38.202980185142444,35.47312699055399,34.011578647840906,35.81204903851908,32.17981471437731,30.800734060847375,28.675973401912454,29.295157916672693,25.427181133279394,27.324928813208235,23.114859418619734,26.780982048133946,24.406542086921075,21.926803534315795,24.987996226183885,24.308057772928773,28.100770113958873,28.146961890159574,32.18193716528219,33.9699774373336,34.1333279291154,35.80013390652968,38.87293713940724,42.22695451923247,41.47950339362531,44.71375745193368,47.17938542716446,45.762244277341274,41.788531279281216,41.60248625327853,38.29234534032533,39.975767002743964,39.39761492240144,38.160686112120516,37.65908085709533,33.92394110038337,38.50946791253454,40.26855912485393,42.01751355504644,42.87470624927679,40.005151861262796,45.60434268420871,48.588327440536496,45.93185795530171,47.20371585763822,44.721012319137266,50.111856802676066,49.10021973615975,51.17070136096842,52.85569494735171,49.73968532013642,50.32362471868184,48.63113313025312,49.18992148810715,50.189310442490154,46.04035207192441,46.68086758528778,44.55592618008056,41.859831661921035,44.86405351838524,42.01413756878827,38.6818545172011,41.08895939823876,42.88549180274299,38.18079452374046,36.85316530899924,40.72926694781225,40.78891723436986,35.35070013871523,37.128117137609436,39.39727992071099,35.451843414691126,33.62763787330821,37.927577567381164,38.769495799217,42.90408963273215,44.8163014733698,44.52539134718757,47.01404269715708,51.9946706544754,55.267421036824935,56.91951963578328,56.075825087333456,55.27813800599407,57.26351469562126,54.28606052772602,58.54138157169491,58.27117179124923,52.211954654422236,54.14901531153739,58.2643837267155,54.74521452168504,52.12543689101844,55.205720736094875,56.32178613303952,52.31757117038069,50.245691629017976,47.30547165807802,47.92649939321372,50.90001374100171,49.642701173670844,50.08879608469998,51.60949331399972,47.953064261333225,46.05992581871954,47.68258484566697,46.218344988833024,41.80982188932629,42.67791396495311,43.42200736549548,40.57100270447003,39.4314016117661,43.994007530140635,42.83896995945873,38.62313748440551,41.64223079107853,45.52996728557063,45.63884694137012,48.39045258903843,47.4620952635759,51.66737684849687,50.6004127106276,45.57080662492464,49.17046596020767,51.39589631476237,48.43588935723982,47.27027698515974,53.28247996077011,52.54487575266254,47.57104836307323,49.854427259368904,54.64349228774082,53.15146058045303,49.25581767237723,44.74912265770522,48.91533439419757,44.937519878962114,45.01600976651229,39.798447139523375,39.037422135897536,34.35525171019847,35.17104516090767,36.76196266686637,40.14420974398706,40.21880163501273,41.47559168804032,37.101225826808495,38.92491182073651,34.504709643492134,33.54773270574821,33.906215460096924,36.43222258819179,34.54335598540954,30.321112916749296,33.410902150964475,34.844661769749806,29.91937331545842,30.12238146871222,34.37050016820449,33.5759173076455,32.77308762028675,32.563284047738144,31.59017967709718],[27.508692273798353,28.410930760392503,29.913646274211036,26.78284742410897,29.165483976411654,23.88574303103057,23.152935715083863,23.783615211443305,19.019018345492835,19.056490648125813,17.576710369653874,19.96344152942263,22.543434040190807,18.74271246752706,20.8419427232792,24.128915813312666,24.84074403811608,27.336431712825703,29.8853421112018,33.39747071669097,35.849835789139476,40.42254351676512,40.841999580045204,41.13747080936214,39.24744980163123,34.78473761953421,34.164025811226175,30.34549269066528,29.623593165984943,29.06632169907442,27.44839544222649,29.26032515560709,30.407530535170224,33.648504330224746,33.72698036660452,32.77517764501772,33.90019881622481,35.622909616129135,36.9960942757887,43.35636115237395,40.46619161652385,39.30219812828777,43.58243193378169,44.55397058867846,45.77201921638961,45.88509214191979,49.79960196945414,49.04448805070768,46.07006682696275,51.273720918630495,53.141648776606964,50.0359189930414,52.41269158384885,47.235333086541765,51.34280951575463,52.93486834204022,48.906095157600205,46.826635357076796,50.89011456433127,51.76469462469209,46.28321419810427,45.52427152274731,42.43752040660093,43.67419670373207,43.27581538223818,39.807788867941206,35.299736316624575,32.1618209091495,28.6753259515979,25.07642952270715,24.17607080400493,24.16738688987633,26.316214868973738,31.123765415876854,30.7878884430494,35.85566841573647,37.645554574531886,39.52633589753195,40.48630532166857,43.320071137575574,42.55229574254445,44.32415879275813,42.38704631947054,44.77753990952352,42.54771082173183,39.302845433862736,39.36378349035437,38.82634218916983,36.76685019328996,37.537187653150895,33.983170010759444,34.34218772999548,30.72645152160443,29.08551042374888,25.414679398557737,23.291884985993743,20.190676921960048,25.228954729079756,24.482150557425292,27.05515090450935,30.03731675330279,32.43221838063959,34.357626131980595,35.6623230174134,40.6801341219826,37.63949112476643,41.44251039312874,42.146077422817555,39.00689900714176,36.528381362954455,32.901621101322995,31.60097426741091,26.87379262215635,27.62543905976073,24.41042806383809,25.728436171760293,26.51339163721815,28.112142917018133,28.851123072444786,25.782441969403145,23.31652113034299,21.45097350996093,22.81559261095998,22.759193347778577,22.37833938271285,27.498684463144926,28.306340687501656,31.803270401205715,35.28322017407928,38.59106675915533,40.396476092699935,44.37153466929382,44.74957720800084,43.786361187992085,40.89183628136333,36.45749899468362,37.494728508711,33.69176743106343,31.09896282845503,32.006755724484606,32.37172772082349,35.84004850575924,33.612376197471235,32.475323172036255,34.7474200808815,31.67493400432472,30.063572069010135,28.6805385845616,29.714225709038587,26.179760208524417,28.719429183250366,25.208118603593757,29.604117368320324,27.803266040758214,25.482405831058543,27.937235899056923,26.48173814614791,30.035381093795007,29.576118271274733,33.17293064624677,34.0047194497585,34.22262591324959,34.923918356609256,38.45009259483568,41.23543397409931,39.83096096989498,43.32334245236012,45.304023816985705,43.95746733331692,39.90541978851277,40.19304336174263,37.01322596904345,39.32568030757468,39.2945277448411,38.52839053771056,38.65471716568269,35.03192779263513,40.06830625498031,41.09172962677066,42.98630311236992,43.033429748416324,40.49372940256445,45.774917298044684,48.47080435809812,45.538303317102795,46.776967365424426,44.25606555028191,49.39339617064262,47.694334828316876,50.04524065333267,51.57736744714803,48.80436939735564,49.305870250342,47.72167345273932,48.47639536375399,49.485588572599326,45.1871299616184,46.238222507686324,44.10720009959625,41.94178896511367,45.12603573080949,42.79059363534047,39.13414096491823,41.16015739282366,43.484077004439,38.99586259931702,36.80673044368718,41.00821127828447,41.88915136339272,36.11190598061772,37.52094874434117,40.220555553596036,36.68992815565183,34.20227505402095,38.36041456520858,38.75253077847758,43.424742658834866,44.33858375970383,44.483564100022704,47.35895782396567,52.231710564233495,55.66204749257411,57.25963151049404,56.8125079271598,55.90544519057073,58.032891074219464,55.15667169028848,59.15527643067356,58.60692921790726,52.46922118630101,54.47791126277206,58.20388763720752,54.453194372492035,51.89022094287217,54.902978921791295,55.56322548588767,51.46153944708554,49.478017952468335,46.9087969740212,48.088504923362244,51.258179816696305,50.40716968223535,51.245863938592834,53.21013343994383,49.61889324549166,47.24491053853023,49.22706123562303,48.23714966095342,43.55874268652594,44.14513038859938,45.43673650349654,42.797197570341,41.144490105079484,45.79228516519139,45.06211592463808,40.784544773960945,43.25778368593173,47.23350391405788,46.9258978769085,49.74698522134043,48.72357386412539,52.718946336525995,51.524317472547835,46.24826221131321,49.74674537385286,51.71954793311179,48.607821457201034,47.20631167028045,53.17953212945796,52.14949087203883,46.98425780545689,49.201422425228166,53.927109017236866,52.178231304118,48.15227851439906,43.60352431681898,47.411825279419574,43.2439486665372,43.89844225194341,38.62708358255711,38.43075923745911,33.96237584204161,33.95185536648421,35.52258950818256,38.56643456119855,38.78280142192969,40.676226152685686,36.406403557688286,38.582015750069374,34.07140904671232,33.93860168613669,34.91990776465453,37.765143682600055,36.4144690231847,31.909662863904423,35.00050769857644,37.03591407935747,32.4408316267201,32.15101208095352,36.6537752173575,36.48557206304742,35.9285333144888,35.73921060699718,34.69623947426026],[32.03664493601786,32.99189768623999,34.423042369900394,31.319369605861116,33.41610477438577,28.105061639134718,27.04430718337114,27.293039150727438,22.434844085734213,22.018908627651026,19.94627323504907,22.07959905239847,24.733416266049232,20.88009681364932,22.028546074307602,25.432019299546518,26.482484881034704,28.286731336777684,30.61151808471997,34.291769800755354,36.43035938928853,41.07755728049185,41.33435465380364,41.88944780539583,40.30839658171827,35.886215155719675,35.63391725895632,32.00445779073131,31.021432822309837,30.566246104278175,27.892406264497247,30.306533928134872,30.856503679983657,33.715807675484584,34.344158734000175,33.56866288593155,35.185228971097764,36.965523794482024,38.65407082210315,44.97634947212931,42.19567305862425,40.50782114786408,44.644095900523936,45.88683876655075,47.04651202997298,47.500811651695585,51.28638455467464,50.42816349930783,47.89272133640789,53.19603172870495,54.881614147849376,51.68496968556404,53.73617043754004,48.712791826254396,52.544683248888944,53.85918673163623,49.85246083734687,47.63444974653186,51.436352162860565,52.34908291064831,46.77064739717946,45.56082958345724,42.343459964203056,43.345474025741574,43.390452782983004,40.14581945252763,35.36693163203996,32.33638327856806,28.77370254648804,25.13161528674077,24.20969232772387,23.486444984646006,25.627851629784477,30.486536062370114,30.447909767528937,35.04421284393315,37.47916840088742,39.15878189383545,40.60269305227211,43.74139014459205,43.33100109857764,45.53918036241969,43.87521222626371,46.550644946388495,44.452056217128046,40.91333639660022,40.50436295878861,39.80775009027573,37.34072678037671,37.62284327186623,33.85313694013291,33.55488739871469,30.093929766884877,28.75017323124268,25.642066926801366,23.035813243432525,20.63549193693264,25.96996659314423,25.8493454994492,28.65521113972599,31.531091340096374,34.5836335046183,36.29095940574621,38.21318135970243,43.35834753484014,40.700939252289196,44.68060668359467,45.59171499602694,42.68720965930268,39.99108067897148,36.58088524884669,34.978963110032176,30.28261715768733,30.87140867395856,27.202020811997723,28.504539713163165,28.677106042308708,30.314681914678296,30.15179713571882,27.125281175454777,24.964005402631084,23.596341814550385,25.522053256101376,25.89036245259058,25.9141994407596,31.067846563601073,32.19271594806959,35.47984870282481,38.98053254671225,41.98715071224014,44.12076513665879,47.99350380334575,48.21038133114533,47.00425906406571,44.251641358950216,39.808445218116425,41.21736865942445,37.180594983823354,34.43646197301506,34.973626248143816,35.02703213538637,38.104128796531796,35.650080563543334,34.83080898608506,36.86366219526515,33.72102353904471,32.4789946974224,31.190442397644922,32.51722589479023,29.157336599230106,31.846143035581957,28.16752791380143,32.329080214116836,30.53786925678289,27.661824880681262,30.152489636379183,28.767517814929082,32.64146951102173,31.85106959950509,35.971664604908064,36.8060437513655,36.46390368476723,37.45963428876608,40.70394241485289,43.83970080964445,42.64615660804326,46.36135908025914,48.380377018047895,47.32588796927056,43.22224181438395,43.509304137553784,40.15228630559763,42.17571139587063,41.966980861728985,40.93117335098795,41.00038850530019,37.06535878803684,41.965168764060735,43.124135552038496,45.23556752500084,45.52902702089357,43.338380588451905,48.65353316470642,51.34057646504267,48.37518059126748,49.17864029525217,46.33144186577499,51.528788998310546,49.9133910530424,52.54114472368144,54.313452470695445,51.60041631040603,52.422481114535465,51.037920285630776,51.94576225230326,53.17135181236819,49.00391453489719,50.145015022428,48.20205613355272,45.911108290307496,49.232651791443345,46.767547039651625,43.16783918487022,45.42308393151933,47.69084673327829,43.15367993334757,41.205005006773945,45.39581468540415,46.08335993749188,40.41810597738207,41.95022839014607,44.56448557522504,40.90673162197599,38.602431903597974,42.7967816720012,43.28073079281149,47.85283533979899,48.93334683646695,49.00114460790511,51.81969579828876,56.69888772282213,60.12460951161943,61.70605299329073,61.12611844200207,60.17969840939204,62.21031253833984,59.20734469501784,63.240537640100044,62.85309353138487,56.69561356571151,58.568863297156184,62.40090103472669,58.74687643310214,56.079416098591174,58.984799567021774,59.82737244025094,55.77882851768993,53.558509437219136,51.10955545851558,52.005997101664576,55.20063498177733,54.39172663447832,55.02115608573338,56.93196606998744,53.18698103272719,51.03817286165977,53.08092239208034,51.85362547641476,47.24816944038278,48.08149713735721,49.23436324248152,46.51622907998502,45.10281729296008,49.76858348682673,48.89072595103559,44.65842615252723,47.35545608016277,51.306829983019,51.1259743360861,53.88663146507792,52.81290100715107,56.87577040156982,55.801313445956175,50.55616763607785,54.00371991709271,56.10240028064393,53.04408655718357,51.593139197499234,57.583220165397165,56.668205018788065,51.50110562455142,53.62480099975092,58.41110533991337,56.74213602497529,52.714739456944315,48.18856964295241,52.02556249199977,47.86909951349677,48.53831598351547,43.264472911697055,43.00643952443972,38.5153556202919,38.58170728039665,40.10842178548869,43.14345702662437,43.27152821407802,45.11611379622325,40.70763775219085,42.69271600360246,38.108358903365314,38.084885081775134,38.767407777926465,41.61273209152836,39.948195343652436,35.67564478488747,38.93971324201672,40.698502444017535,35.84812493088582,35.99221276235853,40.40954101604015,39.91875512083999,39.236775325003194,38.99131520975094,37.94092892579121],[33.119207783275414,34.55572338834504,36.54544361782937,33.814809839607065,36.31757002639867,30.61513255100853,30.007431088744276,29.967152161685053,25.279129832968323,25.561662582029477,23.40022685507175,24.92580866456678,28.31809226307825,24.874339294837064,25.785780318195247,29.097068819434146,30.606175082048303,32.510515518274325,35.12816790113937,38.66078898901061,40.920982772229976,45.52320131828296,45.901984678800716,46.58924395850354,44.93662970402482,40.53898542992886,40.14166283264357,36.420467875619096,35.17120834557345,34.33542289773224,31.528182533314258,33.56562913779413,33.760173730646216,36.815129384331854,37.74476843350272,37.37375247917989,38.77033583098277,41.02892072726263,42.85606894752818,49.09209863422616,46.59309055399634,44.918574840526276,48.99311894695663,50.38044487506213,51.68463823405414,52.18745759400827,55.98282257979248,54.99101946010948,52.40731367001509,57.73671688956689,59.30754342466968,56.03093769028854,57.988500835757876,52.9180054784235,56.54136509753874,58.01794165207931,54.12438626704811,51.663923185756346,55.41915246470561,56.590382735963736,51.02126306607883,49.596364495556614,46.218157160891515,47.42348698636146,47.6541873723908,44.33017655986164,39.702015056851636,36.511037404778634,33.19011636874044,29.371146436800984,28.684248677363613,27.869658183905347,29.70999053056149,34.61921442084037,34.34037826702208,38.65754802067359,41.30042860357379,42.61562057662188,44.24080957460011,47.562850873960066,46.96513905129935,49.34915806613626,47.38447705195196,50.228326153344014,48.37151335365474,44.72542716096263,44.46323876297512,43.368423575702884,41.18875448299275,40.98134191950691,37.36927476804862,36.839038158147986,33.311459168089854,31.734856241213674,28.869965639138474,25.950135258915658,23.86663706470295,28.764945438266246,28.518995307361987,30.600010772432608,34.218810846938986,37.03587458191017,39.28454217964824,41.03635012472645,46.48273318938778,43.73304591841367,47.51507570765815,48.61907341315101,45.582452656109936,42.77162821757851,39.40339841533609,38.25275387000683,33.55562278805882,34.606491158443916,31.194654910309794,32.77535806534441,33.12121720427032,34.93945596030385,34.880391709561415,31.6633413081548,29.60998026279361,28.064183265584685,30.001688862922734,30.07106802249906,29.68073882214015,34.83225843168495,35.311207907311925,38.85987711990528,42.23056510924702,45.32812195731266,47.47984853332111,51.27149366577118,51.80061685464984,50.48486059945924,47.97547961518586,43.573393533584486,44.90722674759047,41.12664744842213,38.58660760522841,39.25668246976686,39.59865504109711,42.7742947301567,40.2681048948201,39.287521982501765,41.25172518976423,37.91858797874246,36.65478983819029,35.02904188779881,36.043500439542576,32.39624015749082,34.603536761357894,30.525059846279753,34.24026229518382,31.81478145455972,29.25498715114463,32.28353239571813,31.462983309552005,35.357585016838435,35.04094458886058,39.20299320609592,40.5380964490953,40.37745638142419,41.666730438671735,44.84219741847348,48.08226302644602,46.998866726380314,50.55293823072251,52.681039594444556,51.44270925654059,47.38110618643656,47.54636894822213,44.241227800491735,46.19375401701867,45.83462299851232,44.67861350424409,44.44097552300918,40.5326516618873,45.21696190530141,46.75913359835838,48.73315480788535,49.35533217473033,46.84758304667926,52.31949734140694,55.151345207822224,52.31382677484214,53.296890732971235,50.54665592643074,55.832846813935724,54.411732149916155,56.884008260799305,58.621598353757335,55.76885307251042,56.46905833697675,54.927253381239865,55.65977075326001,56.71225835870927,52.47669326221363,53.34782664175014,51.173214713245095,48.746971515474634,51.756514529254794,49.10446906306499,45.658936954252376,47.787502498175215,49.73926457317116,45.09114217582003,43.312061369151635,47.231825519731174,47.563454202594365,41.91426184641276,43.374925396257495,45.682800684085215,41.87331362125778,39.65461406641184,43.69027261149334,44.53591828242948,48.79355306773507,50.45988634068625,50.594519153520345,53.158848353311825,58.235191378137635,61.34669536302908,63.212805507524436,62.70671775550723,62.03809713273541,64.18177176635783,61.34960601705518,65.5459232415834,65.06667958429878,59.011295817353,61.08223675893958,65.00443867191436,61.314407637291694,58.80019325435569,61.908666298281204,62.701429705102306,58.601540577102746,56.70797441613527,53.89809547082051,54.8686861512058,57.90977497442641,56.73683669498721,57.35110457966228,58.92905614193272,55.337996187554545,53.314255421691186,54.907954109377535,53.56585011710527,49.13734458806106,49.82097159311264,50.573029030928524,47.72374413568988,46.438764699462624,50.89947908014844,49.70684595275076,45.345617571083274,48.22973929021067,52.117612800259124,52.23694774491311,55.187219637556325,54.432251039121645,58.576849066436694,57.24729776640858,52.22370692970148,55.95776602674464,57.93437359608474,54.82959444568866,53.77389968752626,59.75331493965904,58.67843041405802,53.665512147754654,56.11506621579545,60.772034210575725,58.962632969193045,55.00663465583715,50.400375060268914,54.18663824516524,49.95841106815488,50.25733133354534,45.10764035235008,44.88362622366241,40.263120604732194,40.53037368214101,42.36270515258807,45.55473236258484,45.936681451935634,47.63849593592317,43.46244322945459,45.57409516605384,41.12350884910564,40.411954394004105,41.08701566407552,43.65367015843285,41.928982365088245,37.573173625668154,40.48580480836987,42.08445744804165,37.26738866760844,37.080167700445195,41.326240657034376,40.57761136610535,39.67960765659895,39.51534826456881,38.551877498072244],[29.105551391932842,30.62474612145757,32.875027519289496,30.11314641415898,33.09865935968316,27.487239090393853,27.330694249380244,27.721077743962006,23.171207391828826,23.90480226543528,22.30919175699049,24.079070888324644,27.375062734694236,23.92336974648605,25.679170315390284,28.9234935607312,30.06259793616912,32.52510869630649,35.21998654115225,38.690865294929175,41.15409953961872,45.72944220870185,46.17129746311564,46.57222050508871,44.71897577651874,40.266998788985546,39.63049346726855,35.77803312600265,34.83932082435977,33.991330528880404,32.07917737939373,33.6776984381335,34.414891432895736,37.782805086948045,38.22203560707325,37.63571337618949,38.652160977292176,40.775588742809155,42.287696597762505,48.58412451767825,45.89590290173301,44.683100700419914,48.908699154319706,50.00415987280823,51.28429946002361,51.44642836583123,55.353405759510295,54.53753407512094,51.57143427298876,56.78908625827219,58.5878026123021,55.42815024253319,57.714093835871495,52.51729931070107,56.44490706687525,58.12395832219063,54.17079268929461,51.89634625498949,55.88898162110825,56.95220073065854,51.44924063198576,50.4452024329134,47.20527775267015,48.52335004551951,48.3583765319014,44.88418599116471,40.387075652468944,37.165689139449626,33.78691306459682,30.048134243195307,29.267881096063288,28.946588799585406,30.96155246155124,35.8519006290107,35.45108212012303,40.211664490870604,42.33943302528705,43.898346948669136,45.113041824837545,48.15896582704499,47.29715853845626,49.273143580313295,47.106907666127924,49.66515938391386,47.64306779353419,44.28846144225088,44.415423707264736,43.529125181588626,41.635352395210035,41.916226169768144,38.43073798206375,38.4435406092357,34.78773544629232,33.00590830764315,29.637777249390567,27.1106553791165,24.410029484211233,29.14942606095135,28.363009310543898,30.232008469069548,33.97046710600951,36.173200135110186,38.62724912342196,39.780970775815334,45.08465541485963,41.94009762327926,45.52578960004214,46.388591416052584,43.08607336230175,40.53912287447097,36.929987376281176,36.116300794685365,31.405900964498645,32.578038975027155,29.611099172647663,31.11289729121422,32.00273070317036,33.67288042360632,34.38105411887982,31.237634114985294,28.861928278360654,26.960371723828565,28.30584179552843,28.06556662863696,27.346342996755297,32.41511332554327,32.59539119097059,36.361655787260354,39.70499245092469,43.14194581862091,44.88740470516725,48.80543280722807,49.48362604836224,48.47274784465621,45.7640564859979,41.37794677106751,42.250082568787114,38.71034925403589,36.27881690311515,37.34561395915444,37.8436969334323,41.38747724315511,39.169665341297694,37.962344345910786,40.19354121306185,36.993371192018294,35.38233683503325,33.742748448191996,34.50506818809552,30.710925534487206,32.76044492172158,28.84287047624729,32.76398618240444,30.24216306941873,28.293294749480427,31.338396737911008,30.467126137504955,34.04821783094106,34.04713976848943,37.684620997906514,38.96344509152826,39.33117680741651,40.25364901194197,43.72849049257618,46.57296405225857,45.20654634934913,48.56776083228662,50.57907394312056,49.06101493476906,45.05989367951969,45.291225325512926,42.196318540635076,44.494803870045274,44.35948025990406,43.49954982967108,43.356663263985645,39.74758528137117,44.58257466277572,45.955762726458346,47.73528798062661,48.0645662955469,45.24534543087797,50.65122691378325,53.46261150718773,50.63743629932856,52.03158901827327,49.5806264299661,54.776905087388556,53.188366738061305,55.43905708820364,56.9228428253527,54.06374976250671,54.435263141970324,52.70667976091623,53.29544960182332,54.105852564512844,49.72028574879849,50.51516750039153,48.10928435550646,45.8752900512025,48.692290742031474,46.21528182432994,42.71119808037962,44.5041810584773,46.5104400723784,41.92864515033138,39.81242042419477,43.705084069790765,44.27120859774495,38.461494262794496,39.70045917198504,42.070301825693036,38.417947707945295,35.917222514639526,39.82540877966491,40.61556767807439,44.969211557359564,46.457257102407915,46.785756384759104,49.39878538423905,54.50350775972014,57.55215990445314,59.50871083075617,59.23771187240602,58.669401372626254,60.96630176556171,58.32873134451939,62.47867055771832,61.76457302380384,55.753825183337796,58.01897656986801,61.77804245557062,57.94662983822317,55.5943692402176,58.83750261388646,59.34760445990476,55.17448024618871,53.620607561784205,50.68268862076232,52.04784920200774,55.05332598049156,53.822308870108465,54.70407529794035,56.32536331045424,52.9369128481087,50.6474367238718,52.12427840005318,51.06652288102035,46.572558550723926,46.92468929584667,47.793669087138326,45.02079970886231,43.44819244497572,47.84265315083276,46.778111893838485,42.31527345088794,44.93658536110359,48.84664896525522,48.853843537799996,51.935222026627414,51.30804748784699,55.36570738251361,53.817669169045764,48.78968982701113,52.63415546271628,54.3968618041214,51.199789327129714,50.2691222068657,56.205734701159415,54.91005485147779,49.92035646661598,52.540065305323296,57.0711742173204,55.08986020774536,51.139977661373564,46.49297622887164,50.13907051853722,45.84479050688036,46.13296921174148,41.0360812915873,41.01109195441911,36.43105718149404,36.515518671821134,38.48704343030987,41.64853184305428,42.229594727039256,44.05995535553573,40.13084015464196,42.516894151305095,38.18171497979768,37.31858787036504,38.38193623591805,40.916399185271224,39.56443177116209,34.92933165154596,37.56353882963016,39.48336949874669,34.97729332334972,34.18594585802173,38.50656847601593,38.10088373348211,37.29935669905991,37.21470936914574,36.271181937438136],[25.541234160056163,27.29292081048924,29.791800486337877,27.50091413461602,30.597831191606318,24.667766531724617,24.94366418867898,25.123705250930563,20.90830681021051,22.474572619526214,21.118304913575994,22.416988401258156,26.215874589418206,23.332308329863686,25.319457750954705,28.323713359023902,29.69297825152213,32.65835338634897,35.85600041350589,38.967551756062846,41.81796063238815,46.24234705481546,47.004824778023774,47.42283599988583,45.20486956935757,40.801135806460294,39.70004477537303,35.655397428827136,34.55941825411049,33.2655409737682,31.99788810305825,32.813083344372735,33.70877823639485,37.49389773602492,37.73391008068521,37.38219106387363,37.8321505688064,40.360542327620855,41.81095486108026,47.97219319088783,45.58760173970624,44.74047851905402,48.95862268456064,50.051986758607626,51.59498929287919,51.62923891722322,55.61031060018217,54.628592490476834,51.33483446329863,56.50591973503259,58.22303548420771,55.02927233592323,57.40393334833824,52.07425413460322,55.94150986156605,58.002668521185946,54.18262889687112,51.7521142107398,55.88810328905541,57.21088043464176,51.81980206894344,50.9630300330621,47.680763213880894,49.44325840431328,49.08391987943475,45.3305534610584,41.27855928334853,37.783225504438256,34.795175499234325,30.89399852737293,30.443551728170032,30.649180849951506,32.26620287783245,37.16789362015088,36.21712559022346,41.12582521464225,42.846352559044135,44.237369434980145,45.183270858647184,48.13048918152175,46.81261101551972,48.61399419554176,45.995237644441595,48.49766183521526,46.65103613900713,43.40302634664269,43.99626929554542,42.8549331348966,41.5531427213753,41.787079789309445,38.642997529586786,39.04448438961184,35.21301521371472,33.01099585202945,29.417942056575733,27.0777088297081,24.139622344036717,28.227323192334268,26.92027711095047,28.082556759534313,32.34654949908352,33.91415519632229,36.88092048941165,37.51995270934301,42.94356443647973,39.576618442244765,42.88824862843698,43.83912504715457,40.39478084705974,37.82960660254206,34.24778008526793,33.94530201689037,29.315569472804892,31.014303496837986,28.564130770799714,30.420225866635114,31.745164530673335,33.69761047350039,34.99730857571548,31.546782707682237,29.236497591989618,26.880167751866903,28.099808946145135,27.280661649838304,25.938295863655373,30.86642284296722,30.25276937408723,34.24667961376779,37.39572368455453,40.93693945969783,42.63540457617195,46.436081509891395,47.46911071377553,46.403447645779984,43.95950984904103,39.67901977429869,40.45341539788897,37.3138785596267,35.266404347515184,36.51622198351061,37.640518118772896,41.38589608311782,39.13755696174357,37.544383338020126,39.73243215804908,36.36065023750131,34.5766152424453,32.53047061987194,32.82199351871946,28.754164074039718,30.269740656820478,26.186540872420977,29.834204337280525,26.935559840860197,25.55971751275467,28.886786963781443,28.4074621549808,31.754767497818207,32.32850619105888,35.66959206600603,37.41901135004072,38.23745236298152,39.36346033441446,42.82945313450141,45.62970578832221,44.402070889973864,47.42618483724372,49.62060937960919,47.81592478571055,43.92551463198558,43.930614126669866,40.95843149784304,43.19191367647463,42.94642597985315,42.09535549724689,41.688469603333445,38.32642133259675,43.00279143916865,44.62012147831857,46.12828688255138,46.64795070912587,43.3742590708234,48.872847501540306,51.82055394612379,49.17832105620568,50.95588750110799,48.80747947310863,54.04812372434677,52.72073063628185,54.60067366044788,55.94584535546026,52.8839265005355,53.01093275306729,51.05632848911447,51.39934755645397,51.98746987329968,47.56880413039114,48.0502491990171,45.451178632068256,43.080032673495566,45.61217548104519,42.99757248410568,39.641842339376915,41.35398620728526,43.093437395143546,38.45581109651723,36.553303509886874,40.22354259766069,40.51181325408626,34.77133750282336,36.034342975662135,38.20346968580344,34.449730161548985,32.099136102462225,35.98851638006663,36.99500254831503,41.11014975307702,43.04455704545133,43.260189366805406,45.68445583516261,50.870373310237156,53.78163174201687,55.83467485287543,55.520442418111095,55.09784136663804,57.43727407615871,54.910104732521845,59.1638015730656,58.41541513104789,52.49530677024865,54.88130608424499,58.726324980537925,54.91782583260748,52.67154495531593,56.066013590529394,56.60936177582949,52.43834101244053,51.121778163322595,47.85630535362179,49.23240798511547,52.08444235335855,50.567744039086854,51.45629811632944,52.8556703433581,49.6223445500997,47.378526486872566,48.53804760673457,47.46637768865197,43.0855180175996,43.29741753980771,43.95399501661038,41.139151129376124,39.605062246019536,43.8801843634916,42.68962779285764,38.18395308758142,40.880412895071814,44.754433360055515,44.903141675181736,48.04992945487809,47.587225021605065,51.684444089128434,50.02974014432522,45.14635681040512,49.13728988417032,50.86748054706095,47.687142152267974,46.99934714747084,52.91762292294568,51.61983758428811,46.76661418691109,49.56135762417875,54.02571837923752,52.0671192192956,48.203923427010004,43.5543368811775,47.31675250242389,43.09824059234373,43.020374336881254,37.995372567716984,37.77577238774592,33.10414217929159,33.54898683705842,35.63753869568436,38.98224803048944,39.63241343847672,41.177203658852186,37.40624307554163,39.81660574071584,35.654746694842885,34.173899156991915,35.23157554375116,37.537402934627195,36.236197763789534,31.527649038139618,33.877725421992665,35.74342469592353,31.380876822484485,30.288691865667907,34.51067122444074,34.07053227972582,33.22349898581797,33.207593323395216,32.329412350962116],[24.684874052111617,26.15649022056171,28.596220678350836,25.66572513420119,29.211361831662614,23.929700457014203,24.273635502155386,25.34281028381675,21.056121141362716,22.149630225587504,21.368034881779913,23.52756197939022,26.386154663819333,22.927709471001535,25.669465179325474,28.75808029858041,29.311874663092173,32.317332913741,34.946371045994795,38.332975650144704,40.94008685519285,45.43933398745178,45.90254842494459,45.93768884394629,43.91027992892752,39.45136920885271,38.60224123282921,34.69272686102692,34.213349653260515,33.48017681919582,32.628166213252925,33.82162597470504,35.21580092919534,38.79694534581811,38.6367577010093,37.716636304223975,38.360994400131744,40.162480982322215,41.252652801224826,47.57164464501859,44.60545539893954,43.92892630767284,48.29563488726617,49.00566269686806,50.19633510818455,49.94911376611562,53.94757237108113,53.38689969704208,50.025004778707704,55.06224941646669,57.15110876499028,54.17313735319276,56.84303739114335,51.56150581306167,55.86131567687656,57.69823371987296,53.67611614602255,51.701481754042774,55.928894665660934,56.787380027241134,51.39940403115084,50.91795169173165,47.90285150434783,49.25936673454735,48.628962298115624,45.06139456478498,40.71683821965856,37.56739944004561,34.120162652277266,30.612716358023167,29.68439161651225,29.901839883910835,32.12976452527534,36.88077747268536,36.43818395737443,41.64193695991576,43.163708369649854,45.054046116712755,45.782173857322235,48.45110552149534,47.370210468140854,48.830091788446445,46.54978600111501,48.71107789788714,46.44725312052746,43.49543016962881,44.01322784579492,43.48202461782992,41.84115218978819,42.76804915350405,39.4199753138659,40.03701095997239,36.33205244131511,34.44111549925853,30.579808484831513,28.596329818332855,25.285347954294117,29.815039713457544,28.499644262902766,30.275005134108312,33.86567565836547,35.39569114041534,37.89563310920431,38.38404114671673,43.367809874790865,39.80516074262345,43.17376318742696,43.67061963960821,40.09736788405251,37.94600045085327,34.05229143679383,33.54541572960261,28.89115087179084,30.05335587342985,27.640601043452918,28.91441206979404,30.41455331280242,31.799645245895018,33.38186961844391,30.46412929450844,27.734923137037356,25.51560598540508,26.051238513547297,25.50956700118871,24.49855070295312,29.362088339736754,29.349002659227658,33.279642199224156,36.595412040626805,40.40906936561513,41.61279496777019,45.69507365675283,46.457966033066754,45.87049618803505,42.85454231237072,38.51315535209721,38.79747712849751,35.519370048600386,33.18528484100259,34.71558437173483,35.298892549197575,39.22517518486989,37.41380463170249,36.00506049781715,38.55267603536464,35.62207722037999,33.625603117246264,32.10466300708673,32.637713668217806,28.82028714504593,30.77433318172235,27.260832984350348,31.477192796761553,29.076825258604014,27.809098258963846,30.649090647253647,29.582518755035856,32.708304444124465,32.94720650481736,35.88068437311978,36.92034836765745,37.86673191146481,38.24041984584437,42.05683748906188,44.35935203948929,42.61641509077752,45.766089273058405,47.5760204628671,45.77453165743164,41.86414629429551,42.223630205045,39.408356561214056,42.14339250306297,42.331726829470995,41.87397645390579,41.93705594739416,38.71735084697217,43.724503303885264,44.77690483731358,46.3536401928314,46.23519015890888,43.16558749562645,48.39686562701711,51.11807953147086,48.2868938558011,50.10720577926198,47.999873209549754,53.01786851197012,51.17727062677142,53.20084988845981,54.380914999745904,51.57748311744678,51.58467458554223,49.6843658186446,50.14725225599379,50.70331497604165,46.16521570111362,46.947225072423,44.32464706631161,42.39862410026165,45.04741665056211,42.86981598139398,39.26264360738801,40.63749390202274,42.807116886737376,38.37258381682675,35.75262970615949,39.67859864247622,40.66978639746824,34.67086438971818,35.6164504516088,38.15779607595353,34.789886820748045,31.882163752862834,35.63927303307083,36.231944187844995,40.80817476514272,41.858162403661844,42.43763839846606,45.19091799461147,50.26270548566977,53.31578420381586,55.304134066262165,55.32049218880832,54.79960146887111,57.25287631247449,54.819004164971574,58.84909788482693,57.86510247753605,51.8954113143379,54.34370685161361,57.85550943651797,53.859711990543836,51.676438931178865,55.02130864329066,55.177199008715654,50.932169817477075,49.725596248426804,46.74650297278038,48.596690667864735,51.592185719761304,50.404078544436885,51.62490514016436,53.39235507099353,50.225957355164134,47.58052926337825,49.03573551799978,48.372619125846775,43.77429728064156,43.747150745527094,44.87870207203138,42.26085581852748,40.29264748443838,44.63413326477136,43.832488970672976,39.30979209061946,41.51268722109431,45.4500472934153,45.22190232977072,48.40501585182292,47.85031824593148,51.7557545452278,50.00615299726176,44.92219761155482,48.810840209757465,50.324238255872196,47.026166817277804,46.141996704704574,52.01070103869133,50.471272176394635,45.47142470406176,48.21278288481252,52.60858308502216,50.4387982165416,46.47768050185114,41.80308036228167,45.26073156706751,40.892398288483164,41.29429555300464,36.23483502422761,36.49255485291329,32.02557527121378,31.766305856141894,33.83905750032823,36.89403689033727,37.6772581867628,39.73673393144122,36.09150301480285,38.79749126974564,34.603723174286046,33.766493408147056,35.3432993528871,37.897835910353386,37.05888577005274,32.13945587215493,34.48223478468157,36.850727479679755,32.78543507610855,31.317576356553573,35.73831631008037,35.85395337915273,35.24529972796183,35.24136873921901,34.30540632816784],[20.895604800813906,23.07510681668107,26.323991398793694,24.30870370842197,28.34992294801418,22.694159567496,23.9965898298396,24.76257530944457,21.235371870595817,23.631249393605135,23.186729771794457,24.509860450199167,28.101964265402906,25.538221861777764,28.377469785707564,31.103271000388595,32.046530947163134,35.59140105172241,38.822194798066356,41.74168876990559,44.78749098813546,49.07768625878214,49.92393577402657,50.008294508821685,47.57184114285789,43.20974977135133,41.80573451336123,37.69875852582958,36.97681762294285,35.623255119330764,35.467325366402065,35.638598877335035,37.07433505765716,41.15141531055959,40.87240578362408,40.362855869929206,40.26785515863702,42.67006900251595,43.7048174037951,49.7776411972499,47.26870629667735,47.047634620329376,51.35827150968087,52.08984270426307,53.60888045229733,53.205600116271924,57.27216584590747,56.50458686983887,52.744565165221736,57.68173114024321,59.65286203554586,56.641192244961985,59.39406275257584,53.969473485365214,58.11859048359326,60.459292419399674,56.64416769516935,54.43001662650693,58.79225041068243,60.02355799771699,54.79117385494584,54.41048108624007,51.308990693748214,53.21070963398234,52.43198571167304,48.55142247837913,44.759132423061146,41.28692549914591,38.351294839480275,34.6425202355564,34.13387473076344,34.807721310457204,36.53397257930994,41.300991903176325,40.21775734627606,45.44745998287096,46.60904558015526,48.179061607495875,48.67041788217834,51.271445491913994,49.606488795790526,50.89443556062332,47.981027292520594,50.08962759406493,48.12956974010305,45.32407030088803,46.45077420288797,45.50139115762745,44.655887440618805,45.35750579052782,42.464527688738784,43.40334151834192,39.51500223910583,37.1167713613837,33.15533406624783,31.28196066743683,27.907811252174174,31.48414806835924,29.54604921247763,30.13387895917932,34.56858388074357,35.13194109302127,38.45287215048502,38.147393058099915,43.29736940058872,39.39515815448213,42.22960509697245,42.85232570704639,39.01536753551752,36.90801837661461,33.07813467510903,33.52581399110003,29.099969052301105,31.083611273316688,29.52702370380462,31.259260381630476,33.32732338935988,35.04124938366318,37.31309988968644,34.053537663638934,31.47288077377151,28.753514846306253,29.095812452088026,27.775718156785032,25.85740788159533,30.351310077006687,28.989971326741347,33.28195402067705,36.21410033795597,40.22282044410775,41.23979082210564,45.11868460000194,46.48894849415089,45.873079951339385,43.276703974848886,39.155205404896535,39.156041179150854,36.6021964966923,34.882607454265255,36.72581609741914,38.136728270719395,42.30996759288461,40.50962104306102,38.612617866920914,41.07800307422647,37.94478193255032,35.74371038169931,33.66063653676179,33.46621084049668,29.28418674090238,30.280277349942192,26.542612280476856,30.117399018370513,26.983220475234106,26.797171700701337,30.123487016362024,29.79443663248344,32.50233497441887,33.67472148871076,36.1181412274499,37.89670438052329,39.50532325784998,40.169736449000986,43.93514082015314,46.13568754966623,44.56809426959247,47.17973165630764,49.19495075178939,46.93941695522711,43.24866271004933,43.30474876681991,40.75037315109839,43.40845399424799,43.44484682371949,43.00452869574505,42.644413138473865,39.81852003362919,44.49729658070656,45.957299154653526,47.11137530303826,47.30713247383688,43.548842177653654,48.8756461480168,51.78640113169901,49.25961191177006,51.65633290193486,50.000949404881744,55.043594036634055,53.56568553238127,55.05179695068564,55.99977833742962,52.92811697590807,52.52937836484318,50.2703160851982,50.31855006792226,50.45098067359694,45.84760132744933,46.082940075621444,43.056214530822345,40.99004614747968,43.00919279971268,40.65501628537487,37.34969967953903,38.3881560762765,40.035194739801256,35.55551961215539,33.18679479037857,36.591656579325424,37.11395595310881,31.210026484471825,31.99819205573061,34.08110630150869,30.60900769912388,27.81772320598191,31.310235068287856,32.39716077501753,36.472046341198975,38.375894812166564,38.96167443656349,41.31602088739009,46.59939155399992,49.23558634036668,51.55668696941915,51.675680338910894,51.5533313375427,54.175953516873456,52.0715929096389,56.27506497937989,55.110335671821716,49.37202550030882,52.13652998623964,55.712908836621644,51.69841166628324,49.81335279997987,53.47247252782632,53.532147764099335,49.2691565938361,48.66931439232748,45.084843761840354,47.115570852214375,49.79827265984147,48.05180692459168,49.35907299139433,50.66787001566789,47.88061916447908,45.29437841467292,46.04248887400685,45.412835269239984,41.087044522624396,40.6636803434417,41.32531645509279,38.6400379046333,36.69290443028222,40.673515975430796,39.58077481464304,34.91564960597259,37.17671419806909,41.005410573567964,41.09750813091102,44.52422989156855,44.435474732919495,48.36956334775727,46.242834507124186,41.516716525227494,45.779250477915824,47.06866123776576,43.74400179131947,43.46976535028444,49.23872632932944,47.508510356511216,42.82416849846188,46.02851070975457,50.17277094630277,47.8815334636619,44.10518542688892,39.405230599860836,42.86407533613804,38.54972067880832,38.248259900687096,33.44728813538604,33.59620202974801,29.01728711191504,29.24565676988461,31.71119955925811,35.02348378265153,36.134084369626464,37.789529359113004,34.648744342298535,37.51756828024254,33.73903093615942,31.71083212809112,33.40651560500938,35.45451184033191,34.80907176234429,29.74953286443212,31.34061195093128,33.64686953357485,30.00778390800707,27.6985463023371,31.82955537240519,31.903292809741853,31.157949386873966,31.332388901263514,30.566879861498556],[17.99571694685243,20.413396758770446,24.086672053547662,22.309054554436432,26.848542578908887,21.491411321285632,23.395824884631796,24.492383299133085,21.49473400604103,24.295762102367018,24.37503108043998,25.675622149774966,29.06379829056561,26.75656244174599,30.003325853662894,32.52290776002245,33.22272930848344,37.06116460825395,40.307286433201746,43.0656603540877,46.22028612219083,50.393109608679644,51.306069443413435,51.20913436886654,48.638238859220635,44.34062637414562,42.74683529015264,38.638160034682855,38.122720518546075,36.7363415052396,37.22896192357788,37.022224121856965,38.76260050019752,42.973402530980884,42.38609108549127,41.79152206410947,41.371737469816246,43.68755595787482,44.47448186388948,50.440667068887606,47.89724762172864,48.05193811285967,52.38360264960602,52.907003309960345,54.42436050718556,53.77169480344241,57.866059872994256,57.20743435807914,53.18476403527434,57.95979302607161,60.0554610949146,57.16225649306196,60.12083074207935,54.66388263710532,58.95123291918507,61.45493442354358,57.67028478007542,55.58586934375188,60.06188004015812,61.24558055659674,56.137936060055665,56.04029230842977,53.05800655894695,55.053442926294885,54.028171130498414,50.081625435617305,46.490609887490194,43.040359660758995,40.18859557310402,36.60992056193593,36.1017990718331,37.06083463128842,38.79412734031679,43.44868978555099,42.26542916519975,47.65253418970935,48.46492041236191,50.12723751274174,50.33948392612499,52.718650965465,50.85074226118297,51.82349390053347,48.75262497245963,50.614587971206895,48.604072479985845,46.079476572783825,47.51946192550371,46.685555081502336,46.1230873434447,47.09538426280585,44.374261709545735,45.63393676336206,41.73329240990956,39.23646459361226,35.09571459537619,33.51404828299474,29.934974795747763,33.176626072606716,30.912744842909493,31.19810698525303,35.62890769187594,35.60755736436981,39.07555595939551,38.21920042230602,43.143998226030234,38.965050678918686,41.48864476053529,41.905322722477386,37.87392693970252,36.06818613946821,32.140237930653605,33.03176556904917,28.80908786327702,30.937599232256325,29.94644393623796,31.59938971991594,34.06936862112253,35.65382176232158,38.46825483657746,35.32586310426782,32.65098207440969,29.753695210549754,29.611690202975943,27.998179120715122,25.759581022809904,29.886313629373156,28.073080841965716,32.47122946599992,35.22616648851453,39.4656674331447,40.070455895295304,43.956799398186476,45.521177435287164,45.171021699493444,42.51771408244266,38.538014895139085,38.09023500856428,35.931263713186894,34.45529631452465,36.6150229775986,38.2248079502031,42.59785613274648,41.05688350007915,38.98338604861943,41.568393058636545,38.5948396755069,36.181107717022364,34.089399547852565,33.60533813891275,29.43104463195045,30.104671283932717,26.6676659169954,30.148641055208323,26.989676135312543,27.481205186122594,30.705235917272564,30.44358625089155,32.7278989257909,34.22307491099717,36.10062085566075,37.87858973724772,39.93670055470348,40.341155212188916,44.23499084734868,46.075176992549494,44.3407146339312,46.672514926416405,48.58696918944386,46.07448387104403,42.539029920379875,42.604238478969215,40.322012467184464,43.18784374486042,43.38070671455836,43.182766025121666,42.85119211855968,40.371032358490154,45.008201616153684,46.35954062918797,47.293962308965455,47.30074405927197,43.284687251746774,48.46671028526308,51.33790814266568,48.902533935605206,51.65318276342547,50.305817462030085,55.20585692229502,53.67032085187487,54.89981611034153,55.60805671267915,52.540815070430675,51.82823001570594,49.39949543462854,49.26745992942527,49.12869020799675,44.45277495278348,44.53196215462539,41.27583261660283,39.40424467260611,41.10420874558016,38.92957706672011,35.68113005764799,36.30606027748159,37.89267509162112,33.55162287178484,30.915363217453926,34.135888302198026,34.8174624228284,28.86153339626728,29.349500642909373,31.38517222575996,28.13215257065546,25.076536138684773,28.306434716350395,29.414688904241626,33.46391568767075,35.313977028774,36.104766491634614,38.41983909938703,43.73164977713331,46.22434279166134,48.67339333874774,49.03613288562594,49.07237489717952,51.8455645515179,49.98919541886222,54.13899550926305,52.74036775689801,47.12876460262123,50.0960168318017,53.50172580788155,49.38733687595876,47.71768800250259,51.51199642763319,51.29990676365297,47.00478129612892,46.82180117892448,43.06724108971459,45.46577462881679,48.03443836745848,46.171746176689744,47.72192719430251,48.98755225444105,46.475079084037354,43.692695884041335,44.21447822006732,43.8657798524001,39.59197500284778,38.79259067395057,39.48558594587454,36.91333102416713,34.71321461952553,38.50168097954578,37.51041457917648,32.796133573546136,34.74510085797194,38.531371759438436,38.55757711739505,42.12066446075091,42.23319932152483,46.04510819339523,43.66406101942209,39.03911086336711,43.4269489364611,44.45763045728564,41.06415072688665,41.02207123837057,46.67865709813381,44.71419444022358,40.145356873192036,43.56733959071848,47.513386681025175,45.050696364446466,41.3417869371666,36.6382682355567,39.923098264712806,35.58582107886163,35.13925685514136,30.491166120992073,30.840156063961153,26.360071203496883,26.47236270607593,29.1373582998994,32.414170683430825,33.782304635843474,35.46867927979669,32.73681481891199,35.84404615106684,32.343955539217625,30.008748972688238,32.07567099662853,33.95173629159918,33.72280231120503,28.522328097497653,29.63537269127631,32.20442820855299,29.067027082287055,26.05539537729705,30.086676744114055,30.51492558742391,29.87482125674264,30.156036588073235,29.471731522575222],[21.557812680203707,24.276842575561638,28.488717059036784,26.697956617629604,31.907365452396732,27.1345154117384,29.34311632393031,30.77632952719889,27.87474361486207,30.511017937240947,30.651760613283127,32.13672048015693,35.37479053796283,32.78825812725885,36.11392484344559,38.76091131623218,39.260860357409214,42.974211668871355,45.89191720658303,48.889379972971476,51.83363761393723,56.104929075197184,56.7830529677299,56.50672209422254,54.15292795468291,49.807277641262196,48.46088060315048,44.44789635986774,44.17512805678345,43.0143063313476,43.34793210989785,43.411934872270386,45.09873443414161,49.21711612202824,48.707151971028566,47.99177629147483,47.740323628065795,49.833191446603,50.515216149523766,56.55741707985668,53.734426092411944,53.89491184494656,58.29140078927319,58.65349334147743,59.933977501709016,59.13861816112021,63.22306968418545,62.84484625472389,58.82975125437463,63.51055913066349,65.82877829679482,63.05854865640717,66.1393159036929,60.719789243095896,65.1652383805921,67.53865094958665,63.6508621793887,61.73691004111384,66.2085943611137,67.1931358168676,62.03945055514697,61.97223721953608,59.034887109005545,60.766049633351386,59.772164692461146,55.971379895408184,52.09446310334424,48.824639040404854,45.660578098437256,42.205285884195916,41.42285994201769,42.06839508338778,44.1671248187639,48.8452592172159,48.02081077346596,53.37937033854441,54.41004980379316,56.18040107231845,56.50434847501318,58.901736957734,57.187463813087945,58.13391960835377,55.17848353279994,56.957857957240655,54.81457435935355,52.3809378794928,53.73166896024781,53.057332949317676,52.287596796537755,53.32591312967084,50.44144230784763,51.504294262575705,47.647594345347805,45.29685567173667,41.2320206498871,39.49066994058732,35.997555918898335,39.51175506742971,37.36622194156433,37.67233780902234,42.147347666874786,42.11669097705166,45.58253879955459,44.628614671589425,49.42286189310107,45.11634766310149,47.47242912355817,47.678600248403846,43.5023528020286,41.99569427047069,37.97491074901195,39.03240693878586,34.89706018060052,36.835380686873336,35.90830507243258,37.23695990957692,39.74021119911743,40.956851050187645,43.769011075153806,40.94873529422722,38.07016031229798,35.360215105140085,34.88151131768148,33.50250255452183,31.46300259885087,35.43131467024435,33.73596252112827,38.1241237561162,40.82531719356158,45.26664114350499,45.42606447982067,49.40398833890152,50.98424012630089,50.97293062103802,48.06945560978659,44.145307997266364,43.19756549219538,41.17122271497161,39.59066060069798,42.00149566631166,43.19818870646983,47.68090571479188,46.45998458531922,44.54758850226791,47.33230749792899,44.585985018186065,42.09693932228652,40.249481211066126,39.83607455587025,35.74785061272122,36.42935305351031,33.12735238498062,36.5308345612542,33.24121049742963,33.92073929079291,37.21349769583316,36.96851475488301,39.19047466308588,40.678116859068396,42.39933257640716,43.959748959890554,46.10124090046116,46.14882920296623,50.2123282921644,51.75234684881614,49.66804884805481,51.99659031085225,53.592395878252255,50.98289417573022,47.52730181223105,47.843770719298035,45.77482509805692,48.96335156809743,49.38882216212203,49.37918428015124,49.186995712156566,46.7724747666506,51.46804200768281,52.68813055492127,53.61255984010113,53.3885226813667,49.38294252830191,54.40902571716908,57.16958414994971,54.693127681422396,57.54278915816172,56.24800139324808,61.0102730339637,59.16537500993256,60.45023877341509,60.99288765066743,58.094974231791255,57.195500881462145,54.72235624882928,54.54584285026201,54.19410398624361,49.42090780551615,49.507493153400056,46.0316197224694,44.534969393703676,45.89431647265435,44.022377834805035,40.83346336994316,40.87955691427081,42.4295697510813,38.35058997073969,35.272592360049536,38.185822820105535,39.11681274215099,33.19816497214859,33.11584262485312,34.95366789665096,32.13307422041226,28.716115232171838,31.185426493554576,32.36433318233821,36.20513683057784,37.85710984888212,39.25425857104281,41.4438371720994,46.76476141344024,48.79626387295747,51.60539063913026,52.53592276182852,52.91527574556824,55.94689449758492,54.51532655860918,58.54579340978873,56.747837992998356,51.38209830630032,54.64029333176871,57.696794400777314,53.40014080118552,52.08359910472843,56.01144626513069,55.264225390361815,50.91711224260117,51.33800152884166,47.53358630782596,50.49707409109639,52.95631410695722,51.00908078265177,52.86581207395598,54.04360328069867,51.87205565164835,48.90538423463479,49.108216169916425,49.054778931952384,44.92161946864726,43.68078387486712,44.282626828736305,41.82554069219256,39.419135750299006,42.79649001214645,41.793321415346966,37.035702991481415,38.595017549580454,42.191320455711505,42.25933284441177,46.07141498510783,46.594768366846175,50.18287432614379,47.32365112818235,42.98933528007003,47.561368446748254,48.078177003605326,44.568786631736856,44.94272624950511,50.32422598749929,47.82903246338463,43.50290144138964,47.270963012003385,50.782790586403785,47.87248708197467,44.29062957431543,39.61762421508526,42.233292570188404,37.74268444421777,37.28570548811319,33.1092074515091,34.175318349543055,30.05691240472305,29.565707405051544,32.57175271012693,35.51905752042598,37.414785156327426,39.44469972597232,37.34760916712654,40.80458528803247,37.58012648585926,35.18325305813427,37.65920094577469,39.35494615672626,39.49546080563164,34.22975395252866,34.81843406155446,37.558400179140556,34.87113677132773,31.225373960232172,34.97298059668995,35.58107532765308,34.89826578529227,35.28237429320708,34.6745580854091],[16.748766988942144,19.80307004342253,24.1769490215011,23.260095057989354,28.166618562415067,23.066822450120764,25.679331118038114,26.670719995637775,24.442648466036097,27.833650101345793,28.176814367468726,29.024050450791123,32.60829876086087,30.8167347732438,34.09381222638291,36.36251654058264,37.17200525244411,41.240341559258596,44.69489315017285,47.19718960488748,50.5323575983434,54.55601685256483,55.638410813764395,55.50563794258073,52.750700745889944,48.54801339589509,46.68795478999229,42.54946555025852,41.99243157784777,40.33438617459431,41.26476400380234,40.50523996644973,42.278737585556385,46.70028641321568,46.01658112735713,45.617290940949,44.77030348846536,47.329146550823936,48.009544914128085,53.75403809523845,51.44386368741789,51.921421143425576,56.19541448667518,56.6587256874133,58.304869044677034,57.49792944445983,61.60198280462181,60.90180206894284,56.63673963103255,61.2610446416295,63.334485054431035,60.493238276761886,63.538684272971075,58.045755401027215,62.26296909156154,65.05002876613841,61.39896289086749,59.249478867197084,63.789845635804795,65.13401236138478,60.16198280212062,60.17679667106917,57.1964522369371,59.44376478876992,58.308566759024615,54.235568632894896,50.94858158940543,47.39640560636924,44.787230417438295,41.185886092693195,40.835231066507774,41.98142591990446,43.529746102485944,48.14677814000417,46.69917225852941,52.0735440896986,52.67296029530771,54.18384093515255,54.23638439670066,56.52009212042419,54.32941064885268,55.1269214024653,51.71388769909307,53.454130675581446,51.6144837664741,49.28261984112655,51.09389195591408,50.08437708931322,49.98628474490866,50.8839173056512,48.43828966173588,49.87167349841014,45.920819054507675,43.20299596243175,39.06382345635392,37.582396015985594,34.033876241091576,36.70880646470708,34.136167173314675,33.68121554375849,38.48087203671038,37.75885753566261,41.669411784764534,40.20838393829725,45.05379244145982,40.65885214174171,42.66867467235805,43.06755657351931,38.872152906544855,37.28050027021185,33.47163877674546,35.09022674515533,31.22194005593894,33.75344291916089,33.39396447205064,35.171274882332334,37.956027545117266,39.59360491990557,42.80446672704968,39.608689719301374,37.00136709978977,33.927819275509144,33.56091221842053,31.59113796937733,28.931966907948674,32.581815222004934,29.934514369145862,34.4206111705045,36.79254940861778,41.14519546036416,41.42911875203243,45.12248921226388,47.10589087846941,46.871206314625475,44.47163306464108,40.756073908072906,39.944484599205936,38.3997723165361,37.355297497569346,39.75102449753529,41.75246376821257,46.247964832619296,44.83924502466974,42.52973820514271,45.084446872851956,42.11997340134038,39.58833947146026,37.276353750609054,36.34353929868223,32.1104690514121,32.1064710485195,28.775647371296397,31.65639623025591,28.11291743282041,29.495412179346122,32.87583479819705,33.083645907942866,34.93555143311461,37.01139366734267,38.39507269240906,40.53357449018445,43.04219619532825,43.488717961625674,47.344415812018084,48.9680794902008,47.265417653675556,49.180939080539034,51.11215711354968,48.28485074892348,44.992442965263926,44.920084156644926,42.9382105257133,45.80853596498852,45.98341654476558,45.8856371867774,45.338221881590215,43.2244727890205,47.585668118797265,49.11176505422253,49.728738947842736,49.84194932466036,45.41623700618985,50.5089344461,53.42861652889541,51.22797516153092,54.387626249895604,53.39798902816852,58.204907064663836,56.83146133476105,57.68479693497714,58.16341242591762,54.99989686226273,53.94102498990853,51.27302305315138,50.828002664582854,50.30928476002406,45.62978778640653,45.30304536482413,41.72888890888665,39.92608567756681,40.988668941776744,38.84424324422908,35.920968937596385,36.04892934587524,37.18286985175693,33.01115111432571,30.47223172962707,33.0731315016641,33.47065796617041,27.74732487280086,27.86196841419682,29.3964166375615,26.314864951625673,23.28387289921202,25.90683162629363,27.446629706273324,30.92154401851788,33.39744901113797,34.37141145280454,36.28330113354869,41.703444405757,43.70144544984909,46.500598502522585,47.128784110101684,47.58496684997284,50.55010537658632,49.114484755918866,53.30254191193394,51.64266077502903,46.35528117634476,49.626378003043286,52.920948007074834,48.780629069340165,47.4772859108379,51.50350161670145,51.048859401446215,46.78328708085548,47.257286155060925,43.08821143889908,45.781164413061916,48.03740722492694,45.755844620760776,47.47358817864539,48.36202256228852,46.30431535416036,43.51879384598182,43.38739756376219,43.21203139377367,39.26320095920441,37.98306112806891,38.295242271616026,35.782262852292725,33.52323944042238,36.798809346724845,35.62268892726527,30.858231446890315,32.621504348318076,36.200909477583124,36.47542113000256,40.27759308913228,40.89879039044978,44.59495809173622,41.77711725731716,37.59489292365182,42.27403892260657,42.936702210260655,39.527492632838666,40.10915582792421,45.51528502179252,43.258472129520264,39.08508087497807,42.927095963911185,46.4847474941087,43.82795762334281,40.361600593297005,35.73635523668693,38.77062300025478,34.527798418602714,33.48597673675815,29.309234227694894,29.77243324914792,25.46670855831761,25.806729580065117,28.80935417777274,32.09640784107382,33.84589703055611,35.266121193876444,33.22232541067414,36.48689454132882,33.50548034890504,30.31904417614491,32.59174303403535,33.95581376035013,34.069060893948716,28.901332887330415,29.144109943746358,31.701591257229698,29.249630332881228,25.34989188298128,28.899204165556927,29.44046880124829,28.749570433160535,29.21391950500041,28.732462028480597],[20.309169625122458,23.25527608070316,27.239294050014053,26.3675297391434,30.620728671690237,24.863131586194196,26.92424454616825,27.19957779843094,24.55117825199056,27.851680841366775,27.52119630292502,27.97733012624107,32.18044310523512,30.421440926151554,33.04497787659588,35.44224712102808,36.82178728733457,40.6258968861733,44.31091822469925,46.84769031084064,50.19397237233469,54.30025599232405,55.45161713513658,55.647278681786865,52.93117266014253,48.67925416985653,46.88244131705441,42.6734271430911,41.66414370724926,39.77390399110701,39.963401786595234,39.33096893538096,40.59525242279944,45.00245892752655,44.78189790374613,44.734105747971455,44.06791203057032,47.05451122432664,48.121819994098125,53.90000273987123,51.885577938897164,51.947612924466,56.144009624961754,56.970869110033874,58.77776399765767,58.32177688970523,62.40369252757403,61.415220618453176,57.41174299991451,62.25816384553412,64.05152860965265,60.995314144506764,63.720600980315346,58.2251360825574,62.1143995018869,64.86599992942514,61.280895219646,58.795484175566564,63.19125094099155,64.8015342221039,59.711152593729146,59.29356179636457,56.08078643366154,58.42905094854201,57.64410657381197,53.54529128241946,50.20213750133102,46.479610615074066,43.9876318669345,40.10801652091663,39.94647354223011,40.82341205849608,42.12596462199505,46.901254841002256,45.32750538991997,50.41605027071646,51.42018002971848,52.606540033776,53.01146381899205,55.6260581730262,53.4951399657276,54.738615122705355,51.28514564177028,53.41705261827892,51.82734101160046,49.09948418417042,50.67757050015698,49.26586405259681,49.09117632253264,49.412674841283966,46.92562678182301,47.9711808867561,43.98381636062134,41.20663459868896,37.36706585176901,35.48474326055403,32.30192527403667,35.00050726611954,32.687017245420265,32.09589344412949,37.29142734952294,37.04263635123691,41.10782429457034,40.1764436280487,45.46746901197873,41.401097208478404,43.65356695912147,44.48289629482629,40.513923771985525,38.42368830625575,34.84956455422095,36.189665587964754,32.12759877610527,34.79959127771604,33.91754185784222,36.02109427682215,38.38892480774514,40.38084241969294,42.99789594599505,39.472298647842194,37.10015923772935,34.11656398654039,34.44436054316007,32.62213324408953,30.09573162227988,34.148543093310934,31.62538928174633,36.07770155408161,38.54499240851506,42.57380697632202,43.48228695320354,47.03938073219874,48.99102409337833,48.274563882025944,46.20285967061469,42.36842118136581,42.19652156238006,40.33235800704017,39.171479525414725,41.17167779398261,43.219277209408716,47.483163565194836,45.648236415727894,43.41297998847157,45.716963885486614,42.40285038360488,40.144001538272654,37.591687469569116,36.79048399149609,32.40636117821717,32.44384421556988,28.534474661184394,31.159664681855126,27.28211371011962,28.13009337275681,31.90105635753785,32.39861370634305,34.712164274165275,36.713269511121055,38.78541014728285,41.288887012495934,43.35149006126752,44.378249712212636,47.97324090572822,50.159274911269385,48.830781791780545,50.95967645011441,53.163526259627695,50.56373377976113,47.1187567585865,46.88025058513753,44.56520490461863,47.02900364621463,46.85757888555686,46.35292477693721,45.540268081710764,43.05458396319011,47.28329394855123,49.201298615173215,49.972517008446445,50.577788770509414,46.26202381666332,51.63409449088412,54.71118423055846,52.51581092119498,55.345489192683026,54.057119832009,59.109825603816795,58.02137492854657,59.048075955836126,59.82374560411366,56.527559791467866,55.80700441055675,53.25955993093787,52.920172156973095,52.664750407443734,48.09685904289941,47.763634974043036,44.40226240586457,42.18052339139505,43.47410591802018,40.913948367541494,38.07044987972452,38.76731163679441,39.71604511815852,35.28548889447495,33.39720924578103,36.03838894285648,35.8633447564522,30.332379381064094,30.92914684691074,32.27842110039527,28.733638571185676,26.313480720601902,29.28100654132779,31.049612808222275,34.25589197642345,37.307324583871,37.87726053954605,39.62596291866837,45.083893328311824,47.11147773880817,49.84353383590644,50.05911495259092,50.43918679310012,53.20658470179402,51.49935379083983,55.87095279165205,54.550955540814556,49.17639653902545,52.235712280003746,55.87289862138069,51.9205860329053,50.385781463952306,54.323489280214176,54.320172433953104,50.11494903797656,50.14672336115968,45.97700648362194,48.08795088229276,50.37260754693675,48.00231420783346,49.31488688794326,50.017122900813746,47.680589517665815,45.300258937167634,45.18109526770058,44.50565771465754,40.64072059005976,39.82931892051781,39.803632770100556,37.050883898866886,35.291857143910484,38.696462135617814,37.15478709820969,32.42145909271088,34.81278195016333,38.3888002837549,38.98117784122339,42.646778890576385,43.15641726544444,47.083930780138566,44.543334256327846,40.39447345419452,45.02790837627163,46.05010462654516,42.77231837444115,43.25381263312635,48.793265493802636,46.885149447086405,42.685226368267465,46.35446171902688,50.13403824324529,47.74743452495676,44.2698042977697,39.65856124713797,43.013042310614125,38.86895456280388,37.733302022930395,33.42465717042138,33.43682214595672,28.913447146210498,29.736115313359004,32.54640176422947,36.019499875120545,37.4525025926526,38.592319421434105,36.07815550220844,38.98457458076981,35.74012865244008,32.48743425147332,34.14189684042939,35.518104783869035,34.992281959873466,30.039543563192396,30.70488035508795,32.72123298932295,29.639041604682955,26.539617715423688,30.060238672567802,29.904646234596886,28.938207317432216,29.324191652603623,28.824596728026204],[23.44099397943978,26.56309489363891,30.8458930901164,29.93604263814688,34.55484332719863,29.026898571043294,31.204922251878997,31.636090066747844,28.945308074968327,32.115951796017455,31.737662981180655,32.30336910185489,36.4805261626358,34.51427107824745,37.1164952573004,39.63004592585082,40.96430095673617,44.659432012668546,48.18541827808258,50.88970236704513,54.113518889669244,58.30840934488145,59.327459199387924,59.47206381320644,56.89019184325862,52.58531054046812,50.94806849614276,46.77105565184002,45.840674768663376,44.05858718754443,44.020682477000186,43.59647468047136,44.743037901267456,49.082603233792724,48.993625726133686,48.92431932243359,48.401135059947734,51.31825526525279,52.38837417671812,58.23447186629227,56.08907084488881,56.08265345807211,60.31696118660635,61.10987101647635,62.802569744722476,62.31723950903264,66.40129967424691,65.5331179079093,61.56839597795675,66.407979020452,68.29343418553042,65.26959731777454,68.0207667245424,62.536422609115824,66.47199819847924,69.14080015654537,65.49957771702586,63.054449363690075,67.42565266834448,68.96519481583825,63.815122645442855,63.33488296079584,60.10125694857462,62.303512068545324,61.60551327452355,57.58601918649395,54.041527596301094,50.39511676238657,47.71614105871562,43.85495481146576,43.54745257230223,44.178677850751804,45.67787930808804,50.50761989888688,49.14084304460733,54.16558093480964,55.38790959076119,56.58434329716632,57.12819909987884,59.81815620485874,57.7937490375136,59.102427527811294,55.71075857606781,57.86054848121648,56.22738767905915,53.4841302169517,54.96810444746897,53.5879770142427,53.264032928310925,53.52449641446178,50.92117356443987,51.76573393154108,47.7994852204458,45.111201607547365,41.37162820298349,39.317563577958666,36.2459523692517,39.14819863857657,36.96360251195074,36.397716734241534,41.65501459540221,41.48612835040694,45.56233007351099,44.65514901254604,49.934075542363786,45.83167359830653,48.017420395338455,48.77900232494691,44.744877652376466,42.76850868945566,39.15588156112677,40.553618930662225,36.49225530527389,39.06410083736184,38.129123363435056,40.08578646336673,42.4244054273315,44.25299114464459,46.78450713568133,43.3900705303435,40.911322209481305,38.04043500391973,38.265724004999846,36.5994261949313,34.20244823298332,38.259301218139605,35.830643115143346,40.29858445155795,42.76306083434069,46.88541741461641,47.61036577141169,51.214095780606534,53.17977530520061,52.598600666326696,50.415773794145856,46.58188551800921,46.19621054859739,44.352658833848,43.099729194982146,45.20535447461168,47.01616317990261,51.33392497745206,49.61661136147562,47.483439056391184,49.883070616910445,46.64348242248369,44.369471070937564,41.929869809146616,41.19989163828075,36.83608590872878,36.91064918724011,33.01610696838308,35.58047014230507,31.602589672145587,32.4778387216279,36.319147497013276,36.84614648539104,39.193533381222736,41.16393220679518,43.24699398894319,45.66622572647978,47.71542043680327,48.609441294250026,52.28419577925752,54.380176174228936,52.89280266829555,55.05907991311683,57.12182656630947,54.48602498343706,51.05126379227297,50.93937137201589,48.69330592808664,51.30541045527676,51.22468766733671,50.77309402978842,50.007316050219416,47.4978172003437,51.750853880563184,53.650116889274585,54.4426267285548,54.98296489567613,50.681658863745795,56.01205008685062,59.052963126139204,56.82926556894183,59.67733884870126,58.370605294056894,63.39152539403434,62.15719259149496,63.24781627123379,63.97066807078282,60.74410911974721,59.95838233181291,57.39226975346643,57.037322946935625,56.68530067837154,52.062713212751724,51.723009478602236,48.24517915420914,46.18866972457001,47.296976894994444,44.862730043229796,42.067688212291294,42.47969591056797,43.37055996775054,39.068934908195295,36.98935679771824,39.439678629822374,39.330987313065975,33.85950933453933,34.15513855979948,35.337957451664664,32.017611850869535,29.451690703594572,31.965814509082307,33.828698163580164,36.83162511756813,39.88748595084399,40.77666400309384,42.39919893460906,47.87342216695535,49.57561116307461,52.55092129604758,53.06989461564562,53.6770577536749,56.582779967759116,55.118029567499235,59.44867028369398,57.92300957390913,52.7018234801951,55.92187688070759,59.39726698027488,55.35915457399286,54.01789378158979,58.036784920690884,57.76969079723264,53.536621035043105,53.88977494048409,49.66826053885466,52.04926695854109,54.26475460165105,51.81229278663207,53.25852345715133,53.85984159750356,51.71262202671852,49.280383629250686,48.9408444919715,48.380747919012435,44.63254741295539,43.600000223699624,43.45167791777185,40.74721562749081,38.93399160076227,42.06536347689522,40.45343650845224,35.71854529871672,37.93445518885116,41.363245284433056,42.04890958166214,45.85642276329927,46.63362678905919,50.44828507060918,47.63056365955027,43.69640764131215,48.44962917380712,49.19150832244945,45.86172737955476,46.61350685315243,51.99778483078238,49.802211500540764,45.76265981502574,49.639660040660196,53.17648309842436,50.54768400769147,47.15322461599664,42.55697818647679,45.55212657280301,41.33021182162487,40.141156634992555,36.11008029956022,36.49309643071021,32.151556816435736,32.67965529300117,35.68402655806823,39.001637521679356,40.718454652208166,42.02409801005521,39.83174185599909,42.91414370586695,39.787742913973965,36.48920119790282,38.32676694400045,39.59337500389157,39.21827866519887,34.256106383294444,34.64489715538769,36.695872319706204,33.835649653172894,30.43625343276876,33.756345693528786,33.621761875725824,32.58820330512643,33.02298180949669,32.56184839028159],[21.02285224024549,24.37721139468986,28.950558163543487,28.55862957166778,33.34658111338063,28.101302966609676,30.749886592887403,31.25826384827064,29.148189985667265,32.71303522840641,32.71470555649129,33.107710128329266,37.20420918135416,35.60729042470279,38.45416776202437,40.730591871910285,41.96767897082254,45.935025413342665,49.58957363167845,52.05702021323255,55.44408453712767,59.4872769839032,60.64982087694403,60.695676010516245,57.92536839599377,53.711892816717146,51.82380245289779,47.63137779533578,46.78008542504065,44.86045095999439,45.420511565984555,44.53128103661268,45.91195869358726,50.41154624346604,50.057371630896895,50.006142484063965,49.10328985707822,52.066207940207896,52.95373880020577,58.62229308744922,56.590705103591205,56.937045273698836,61.14410762695235,61.80617331726233,63.58258948334173,62.90979522761989,67.00716037810913,66.143932022857,61.934162071180054,66.61410116835509,68.5262962209797,65.58363082383434,68.47532912009837,62.966614706592594,66.932081370198,69.82729318396143,66.27751044887054,63.87457868320099,68.34088248456023,69.93337138505306,64.93009664192073,64.68236927674397,61.52963195510295,63.92461849961723,63.01026244974328,58.87962955590285,55.62554174505642,51.93331809825593,49.444844590805005,45.64438540829363,45.434528090248854,46.379005303875076,47.76388648685659,52.503712964080314,50.91837074945704,56.060887120149445,56.923643506582025,58.12446804797791,58.39449521845444,60.887241261261565,58.595934273817896,59.631124852179404,56.01198635273716,57.96036263879284,56.38033824957222,53.88192245194022,55.70691763024502,54.328405664564684,54.381377452373556,54.8037248525762,52.43657800318227,53.60462665283871,49.60859171948331,46.76526248214933,42.883695499074584,41.101401598331144,37.87385074524307,40.3423166117149,37.83771032331278,36.86320535098513,42.17388153383621,41.398363041012,45.68189449969194,44.238340734335,49.326072324951,45.02709942663463,46.84075055137081,47.4976537047466,43.35208248040498,41.60802767539145,38.04591566394425,39.92356944292394,36.141470110136204,38.93853546436319,38.54201092201845,40.53594745518629,43.19751531988246,45.02477574008403,48.01433044482957,44.62461232374804,42.15218379881803,39.09441337838842,39.02443952616058,37.04282729782491,34.31877677630883,37.982923279585876,35.01688128703164,39.510357313933326,41.70655129183235,45.926863498989626,46.35761937985057,49.83908500880944,52.06329787177,51.63180722826524,49.572000107137654,45.94218181437229,45.252167074563964,43.86306478817661,42.93932081149414,45.248218445526874,47.37963113554975,51.8169028454229,50.25204795048582,47.90991875127092,50.324514232807104,47.16215813283743,44.743177825907175,42.198683398215024,41.137121341163486,36.787462535560714,36.438389085528634,32.79297425867208,35.078828157273136,31.042773481945613,32.594588552525735,36.357846563923914,37.06226634697706,38.98880688225126,41.33529645161741,42.907767683160436,45.467077164600184,47.92115315076183,48.72594148786833,52.416630091006105,54.25547615383051,52.7504219739632,54.580726529933294,56.634620637819395,53.761273064730226,50.52228924333547,50.31842700279875,48.32318851256526,50.984427909530375,50.952985189873736,50.658667144919185,49.81867304184193,47.65961192723295,51.762065869314476,53.65915508646654,54.1981700916201,54.6902600711458,50.10617072280902,55.30546224359536,58.340822196498834,56.28047827903124,59.46708126798306,58.48034613184485,63.378508295533145,62.229258356750094,63.00671779723196,63.52290776700912,60.24450947698012,59.17698058508682,56.43966004715282,55.86605810930309,55.245352386929135,50.63678081573073,50.04415177453225,46.37720896708187,44.41859238706767,45.125405264723675,42.7839474828352,40.182235952799715,40.244875279287854,40.899352868345495,36.76731901426016,34.697233446518766,36.77707341899023,36.58607186597771,31.28569969534218,31.336404713653305,32.25911216851953,29.134073669487865,26.57096507130236,28.702559253248676,30.74436459555804,33.42677176786995,36.750814095958354,37.71803386145766,39.126797157484106,44.605638114176095,46.05279430482917,49.186300661097015,49.86484475766843,50.683896679281965,53.695261576853326,52.495250470178135,56.799063631924746,55.10297560376277,50.092315208786545,53.48322983232653,56.845265941035095,52.8003705719257,51.68953104281421,55.82749523250528,55.39795979436578,51.20436636968924,51.96383920708603,47.52030459017923,50.11575118016737,52.13571952192294,49.476441430744735,51.073780007356476,51.50702333526416,49.67256581191811,47.1711869773725,46.48400389286562,46.12459378263332,42.55318811660558,41.181647347331364,40.907823957624366,38.31083432448093,36.37902998403062,39.19787861670243,37.58633746327618,32.87045796275166,34.84935663471845,38.145475938429605,38.892033691211026,42.80492273754742,43.8475945334091,47.541143845901814,44.48777175222077,40.80430719286286,45.67403853077772,46.18484608993585,42.86486493307228,43.946451445349716,49.14707323179585,46.80417103982592,43.010387422377924,47.09003400655489,50.38665282953904,47.68061765480051,44.447454702641785,39.94073363627113,42.80739442303232,38.70375328685956,37.174443096939115,33.43733166710109,33.84453083233464,29.670667012388307,30.338342055328322,33.471458752788,36.770057547943935,38.66878846045105,39.79342961224897,38.04122218577694,41.213497144754484,38.44809449412857,34.70560586834175,36.72742290856565,37.697535864085765,37.65658039639303,32.71123830288433,32.546279784058214,34.68175651103802,32.373693175889045,28.370866657442082,31.40266467600825,31.507290216330542,30.547683256430407,31.099806395589813,30.76511401232104],[22.375742109068675,25.88360827373177,30.50675471607692,30.7673451541707,35.2966814431173,30.018669752464504,32.82151180850889,32.92207325576719,31.243621657661638,35.12742014080071,35.07991815145447,34.98956554843971,39.38290953399142,38.23335170959066,40.83821076951838,42.921953496985616,44.458020076793034,48.49199293360464,52.422884579601394,54.647569571531385,58.19960574455949,62.121145075874374,63.482592396263904,63.657878505097365,60.72671795473838,56.59580709440292,54.490485231711276,50.257261682971475,49.17315952887683,46.942112371910234,47.59838043800167,46.28890482992085,47.50641227057708,52.13562802936462,51.860083068120424,52.11236834762418,50.919065762928284,54.24590070552638,55.20955247376102,60.666991908889536,58.99736947866158,59.43396347570823,63.53355807616778,64.3158024477614,66.29460720786665,65.66663208937159,69.75151645600106,68.69177041563101,64.40635471907555,69.05688663758386,70.78228247565332,67.79182508951068,70.58789219774759,65.06645577878503,68.79326063579039,71.9192536642477,68.53816062106893,65.92914145773773,70.37248282576029,72.23219913651104,67.32097669024748,66.99439982980067,63.76324814359285,66.43812275935564,65.56430658558509,61.313021272584756,58.347073335244346,54.50133070949478,52.31500790113542,48.40193570240772,48.42508239667241,49.47309799049229,50.56125410693614,55.293349022504685,53.399487510809415,58.409336433089,59.1957285882434,60.12912107318961,60.37561626551279,62.895849461605756,60.352466303515655,61.41511968782271,57.51012251885829,59.514200593982785,58.20647061259318,55.70938636620743,57.74299605285099,56.05363785845873,56.485558100566635,56.62150770272542,54.50904842428736,55.70736029871124,51.68395142614077,48.647911104971534,44.90084528995639,43.11661423564025,40.06067230588556,42.02174497401524,39.39224049689322,37.808608410202126,43.44236340488222,42.299674483066475,46.93059285992013,45.24783341479728,50.4039463316436,46.14691490134553,47.648827018544836,48.502624445964,44.410922202004876,42.6041016142145,39.32097242040776,41.5799520530279,38.038222892093884,41.16909383268821,41.02774869558782,43.264548345829375,45.97400499106872,48.02258790640862,51.07444606601819,47.48780212348234,45.197977952445235,42.03275323003491,42.10745884238824,39.90745590609902,36.94283327089931,40.39972398413366,36.91538572674776,41.375237916071434,43.29300445907505,47.36910377627058,47.88416904293772,51.09282253542312,53.613595740439166,53.012109130703166,51.35932918486367,47.91255346665306,47.30789339953751,46.241266012387165,45.61702214561594,47.87909760482063,50.377912670817686,54.774810301147184,53.09354006727782,50.5874910594297,52.83142515253423,49.52629446884495,47.15541730305146,44.34116845815759,42.994594070975765,38.60038091847482,37.764176483786116,34.047969971248385,35.71292868384397,31.386157151382243,33.36911335865818,37.28452788629047,38.444868714921846,40.18023664447683,42.90863751242561,44.36633877072928,47.351495239245196,49.93835783233604,51.05531564459086,54.5559427174001,56.49295795507954,55.238062894762024,56.81947980935617,59.04555442265454,56.058942813859254,52.952689336299755,52.53143165975059,50.608689172070385,53.02835243106465,52.80150172215805,52.39225906855146,51.259611652996256,49.25746363202617,53.03404260704891,55.23092905127281,55.57303431128221,56.38743346087334,51.56336072778524,56.78353411790764,59.918827873454596,58.073476180074564,61.410392071885425,60.584909282903915,65.50746106034971,64.66600177425791,65.20190295155474,65.6839983388145,62.26564230732526,61.10009212345798,58.24999989942276,57.48324862135,56.71481859267786,52.215190529521045,51.29689116706397,47.55931064860606,45.42958757872411,45.76534240269214,43.245405180413464,40.99298557025004,41.01052748552495,41.186986544122554,37.13079875096744,35.58694509204493,37.162973936839485,36.39822802331666,31.568049830085965,31.63592455029402,32.01497361856401,28.855274407933116,26.824996349480813,28.620846221345378,31.074996469412962,33.026518349997886,37.15972398427562,37.93505514179806,38.883665029837594,44.35854247973849,45.42887264798373,48.7266792497635,49.31530780865585,50.39708044478577,53.39016895182594,52.36698323583744,56.76302486436555,55.098334317753604,50.35060313131984,53.80089940194282,57.25830137424866,53.36534732204788,52.402546385835215,56.61993872036821,56.307339688521665,52.22720544671053,53.200958836102856,48.482942911618395,50.91167247035125,52.67555214478852,49.66856417559305,51.1404451095108,51.16448600853665,49.565970382728,47.322406714946936,46.13852053573425,45.64885156622586,42.447333194636826,40.98258476890798,40.223987664521445,37.6064522476249,35.95552296331648,38.365111935588516,36.43399806297215,31.836099637836096,33.97236783269299,37.010408789124966,38.135395764293534,42.06526276554745,43.41958977944696,47.09839349567169,43.93334451771445,40.69002555026701,45.661737448231115,46.11430762317875,42.93252218582718,44.40729237617971,49.41975498577934,47.137695113370185,43.69517461463046,47.90639026403817,51.013860986019345,48.4052204304434,45.40356813354918,41.054716043755306,43.94299013818034,40.085941716518086,38.05286252563117,34.66059663528882,34.789861382959806,30.737505965617952,31.900930392166266,35.03826430525089,38.40554720370265,40.31447732162723,41.00820482792392,39.51202847380438,42.5188322591983,40.04725326478775,35.705997928626736,37.50398846608623,38.062607033350005,37.961910708362325,33.289385321377694,32.67910977977585,34.45362116525168,32.455896060801955,28.31150142776728,30.821713324159877,30.65695022852539,29.56519530083613,30.205405555841967,30.048752021285846],[20.457854197486895,24.052701436803716,28.820438107169483,29.573936562430436,34.16228688817711,29.31223351945098,32.486216854173364,32.70537022134835,31.587483023674608,35.711186325432124,36.03073554511115,35.85559208897343,40.04289954778653,39.19858418050751,42.03462757241352,43.89271534449289,45.26954750993736,49.51133809015291,53.49233696822065,55.50197308540719,59.16433425945426,62.92813780723667,64.3956830409389,64.45685758706904,61.38009690830974,57.35712532959662,55.04999844724932,50.84767248115683,49.88322023219498,47.58858012721854,48.80735842217877,47.12653917763108,48.59137887295878,53.3119623703811,52.75977725151054,52.9774515803042,51.46494575241539,54.75045986765063,55.51411596654699,60.78078473133169,59.18866330100201,59.958306751466395,64.01568560169963,64.64793894790338,66.67148782303076,65.85915766566958,69.93417072329142,68.9082098793669,64.41803234855928,68.88471949980841,70.64722031401158,67.76145186584374,70.69538487373477,65.18386602881127,68.95257774582771,72.25674197411055,68.96033876869994,66.43553793225466,70.95667587606988,72.82278625084702,68.06811443577001,67.98707123334876,64.86759403166276,67.67544803184727,66.5857017419938,62.267659795945434,59.562121509934414,55.721826257162824,53.69170050575653,49.88740330122018,49.9670182392102,51.28517699779297,52.30581590815453,56.91757753647481,54.87517965313602,59.9890240367854,60.42922046517425,61.40648399415574,61.38151851437378,63.684186440184504,60.92853661171526,61.703345317429736,57.64069433896168,59.4140770713804,58.13285637487681,55.90312266448044,58.23089654480775,56.604660024934915,57.349506289019004,57.69424662997208,55.789074818410924,57.29277239285217,53.27472080689188,50.14899462660026,46.277027171599975,44.77804001111068,41.577697035812356,43.185063607039915,40.3020146727688,38.44618329836965,43.98374609823934,42.29854309427741,47.02274046930954,44.84831515109977,49.73356025789629,45.31751847328443,46.45352773206447,47.16490228176988,43.00356504246662,41.469778442232126,38.26132321404768,40.931207450160166,37.706454641605724,40.96565997642092,41.32012356577859,43.53209292624546,46.508670417211476,48.5083954222794,51.95820965218728,48.43470608013817,46.15156051376901,42.86296955420898,42.64521395186439,40.20546959416646,37.010023609454564,40.04366816598327,36.14469905205575,40.5485388646353,42.19281204464198,46.32816729060062,46.531747720562635,49.60563673186698,52.334841425461775,51.908471478980935,50.35302407181545,47.13184462073813,46.225808484625944,45.593477799455385,45.272713040392794,47.70560911843109,50.45131371168284,54.92373644249925,53.41464923555589,50.74875760778054,53.00381125021311,49.82537028120183,47.334251969335575,44.486951594274494,42.868717843019354,38.569009570155586,37.38537569549451,34.01399400053518,35.44325463543855,31.207750979131944,33.77433958238692,37.498116634232574,38.74313980007671,40.049992898361545,43.05792341973462,43.995279643808566,47.02720581691109,49.97058687393153,50.948545341383394,54.452776916659,56.10545729113071,54.82332613630717,56.08061982659929,58.26481830216847,55.08225106106686,52.185334425362434,51.69590572335445,50.03295543073024,52.50045179108238,52.34786908740943,52.11550652300345,50.95982343943375,49.31170227925582,52.94590907173353,55.0745340063953,55.183840194723075,55.897804382244175,50.86393342474601,55.89853142431192,58.991567075825586,57.30079303936014,60.93257910805013,60.41360591408356,65.1769005825551,64.3905823806051,64.6393066713769,64.91815428766974,61.48678417860562,60.058967503257605,57.07048835520305,56.109914941043485,55.093330558855286,50.64431962290051,49.50297434754663,45.61605637368438,43.627160290097585,43.5707960285393,41.19533517098992,39.1455245504344,38.79866007592997,38.75783089931718,34.93807617830425,33.39674475180076,34.57741290914791,33.77410591469268,29.18884384175283,28.983115229767897,29.088018164229318,26.21635935558196,24.21986256107545,25.545246777722756,28.14453741223996,29.72901192201675,34.0820408476611,34.9275388653748,35.65814947415525,41.092490350946626,41.91234806147175,45.350548871107236,46.10291314324221,47.377228962727266,50.46427419233786,49.71035313540742,54.04131862527457,52.20385882537675,47.686363390992,51.28362095141656,54.59320834343974,50.70790245175976,49.97701259704101,54.276356060961675,53.79589683756225,49.77955385609613,51.14103071280734,46.25969170039686,48.901952927072145,50.46892534071663,47.30515338238032,48.93901123089034,48.83369919102778,47.55417565783662,45.22587280718988,43.73683695561769,43.489696049103564,40.46967974641256,38.661012976107095,37.82827223470414,35.370210213192294,33.57461203718649,35.64144788079387,33.77149573023263,29.24637732286497,31.05489948033912,33.93175855417097,35.07740312125571,39.08745757332731,40.6904619779836,44.20788800897976,40.823274308873664,37.84380168164858,42.884504232240864,43.094111326568694,39.94194542190893,41.722846788676954,46.51356160609349,44.097046862565996,40.921502670020075,45.29020036524089,48.14115594796995,45.47654544616686,42.65654389729468,38.444473874617515,41.179958316714,37.49148182707132,35.14404949119878,32.09975933861272,32.24339834833243,28.452360266336857,29.735750394236664,32.928129457974855,36.21517350615564,38.26785311097235,38.77780937459832,37.735443841740725,40.801558614750554,38.71078741584452,34.04412669098393,36.020067017875405,36.29289586696232,36.56354295769154,31.979538088638684,30.81982407954926,32.691199228226985,31.32619575775712,26.634592858104835,28.806277275931997,28.954865247363614,28.004252996004713,28.735365090543898,28.71917788463101],[24.123097550329963,27.731121539296186,32.592405409219865,33.27918564384274,38.03536339517091,33.26815262957366,36.43664256083058,36.694043976733546,35.452259294490126,39.49285451166696,39.70632315965827,39.57324263253564,43.83404192657054,42.84335968317843,45.618471850600436,47.57887665608481,48.99227833954003,53.1599850406995,57.08272630100619,59.208729467376834,62.810772040083094,66.64841107991461,68.04526387150084,68.10210071632517,65.1043090036225,61.03192246172833,58.820984637205726,54.615699524297995,53.653413326415475,51.39434977518738,52.39492929636522,50.85110464833914,52.187228061421806,56.88220916295646,56.46433140420416,56.71099631660242,55.299509057996225,58.59902987081338,59.4035149947633,64.7252804273195,63.078978290336295,63.773122033439705,67.85686218354371,68.50142475795334,70.47437673376923,69.66709153128879,73.75155007415069,72.77598510297032,68.31503341689897,72.80198360490522,74.6002207624645,71.71662588469258,74.6411212719763,69.12631412755745,72.89477100149942,76.15768099698991,72.8312037137067,70.29166065505748,74.79203445722956,76.64988996203176,71.84060311519475,71.67615301395303,68.50999294504687,71.25005313723953,70.24734152625422,65.96164936584927,63.1200314548824,59.2945617537669,57.151498195551866,53.31053255144472,53.31916545273537,54.468433289640274,55.587400018294765,60.26943781437474,58.33204923060167,63.392799996508835,64.01207458213332,64.95749190206013,65.05683373022644,67.44755286331969,64.75117388795813,65.61082443111948,61.570531216772,63.39439740870914,62.11424979036445,59.83548941370763,62.08984088881037,60.4324106406011,61.08549177354926,61.325383277968065,59.34191453948922,60.682787400734064,56.658925510556706,53.566212296198124,49.77474017074153,48.115446081338085,45.00494546799874,46.75597844560542,43.973204964101825,42.120005403673915,47.758126430961156,46.17748435031841,50.933788487551,48.82756121877583,53.74852615718076,49.34518186903231,50.44990670696251,51.15672514118773,46.98253676129783,45.48610446566091,42.282397614899686,44.950768380715274,41.69370895335463,44.9013015844659,45.16004351408126,47.316551801237075,50.24699323215522,52.18220951452249,55.539236228313406,52.051954632905705,49.71169385852376,46.48267379943465,46.2658218555881,43.93221208316159,40.825706714647524,43.926120939020315,40.11474469610261,44.527155459793875,46.17992002647065,50.34297805483072,50.472809807990934,53.55394533787768,56.296220711251344,55.921498936702726,54.328566896562975,51.10181877847114,50.10596363367509,49.46076853184216,49.06584811855264,51.53915154483852,54.141328837582314,58.64384772004469,57.17177261687672,54.56906189280349,56.870750568503595,53.6966018813092,51.21264733063195,48.4068400466546,46.847697747299215,42.53331286436441,41.394360059435165,37.959210537353336,39.34165208044878,35.011322232864224,37.50553642988395,41.324649608747585,42.61555010417094,44.00637890051138,46.98662610028643,48.00852443111326,51.02545605456184,53.92315538959552,54.87274665741519,58.41287276974753,60.05857278679622,58.698685324385416,59.99568082559738,62.10936383558639,58.91071190286251,56.01273082905334,55.59241064066912,53.95019436350456,56.48352022285007,56.357869034210026,56.12154038696103,54.96417414760438,53.26351323672728,56.90063084236992,59.065346814920105,59.19677279672277,59.92124169592001,54.897424271073476,59.927406702279356,63.010694823765675,61.30981305617721,64.93720023824761,64.38690354839763,69.15590609266965,68.30216277015093,68.59600355941352,68.85580178992933,65.45962793661684,64.00188835465464,61.004826055753355,60.031348466108206,58.95439976899737,54.48596369049243,53.331262475996155,49.38999747774744,47.49223798882154,47.3048747915032,45.001466606340486,43.02010794990021,42.51591273411188,42.397698081257595,38.701832057523994,37.10614929552023,38.117395041221236,37.30600772655182,32.880202901905584,32.494595851579085,32.42999187016056,29.77015928435877,27.780632199993853,28.726735736851488,31.367830488269938,32.668798944447026,37.03500112628236,38.09075414139275,38.652616126853594,44.01477955705,44.50339538208874,48.11464337766813,49.0898532376993,50.565132659209425,53.723961197783986,53.17354115677311,57.45970417855839,55.49256521508929,51.1543947775447,54.84274008367522,58.032057922004526,54.13076966874493,53.55439608870927,57.89254522828672,57.24510515688861,53.245958093607825,54.830823933847995,49.92222056106851,52.6972654956234,54.18988582560683,50.953562228580815,52.63970611482709,52.40835477330241,51.284176328472654,48.9831825008739,47.303622066048064,47.09924087894115,44.23001585442107,42.30884029113044,41.333164380890636,38.92619161468426,37.17878755801939,38.979060843846234,37.03070702293092,32.61629059017636,34.30345901915357,36.968220662241905,38.22965249387016,42.28033822108459,44.09929804996784,47.49627016883438,43.932440042577355,41.2154974359323,46.291027498992136,46.28849382363472,43.15376070870652,45.15479124357086,49.765076634338584,47.16454265347895,44.18444891107343,48.673076200278494,51.30016281989669,48.486532646583655,45.7824651588879,41.64154780897865,44.07555208204749,40.39421364851757,37.992679415751084,35.2374483822843,35.62695416292007,32.0231505403832,33.103810787520786,36.378560138693686,39.52600362645963,41.749818385796125,42.346522646732716,41.51516373143442,44.65512819233166,42.635299563366594,37.95704269698405,39.994991046396876,40.18812700053015,40.48863651228562,35.95954905203496,34.67665417633294,36.48556075055342,35.211849756788425,30.478111395441793,32.459247875167605,32.535849155188345,31.508808643082002,32.261433637989484,32.24824303382353],[23.691604024428226,27.204781148376867,32.03496036892655,31.9961777541822,36.9856580117082,32.05089180163032,34.96697914370109,35.50408041696509,33.6806554447336,37.37284053360922,37.46397197662811,37.7488474688771,41.8744009533138,40.38477169811784,43.24893380468448,45.470283657163044,46.71477219062296,50.73154533679907,54.39803047365441,56.82830685070643,60.238870069568776,64.25369235181095,65.43046895362558,65.42923842642726,62.63674984472608,58.44458716357563,56.51258870258209,52.325986421384144,51.50340999683192,49.527177854028,50.18672776193884,49.155512518023755,50.50543121766656,55.05729932522873,54.70903969019305,54.725921136329795,53.699238351422984,56.72226494668731,57.5550005055602,63.14505943985083,61.15707361274372,61.624436056676274,65.82135066930203,66.43251127140765,68.21140782318517,67.44749798338131,71.54686518531891,70.72753690615787,66.42102124860308,71.01853040847487,72.96208259995723,70.07138975330002,73.0153050120967,67.50256754877178,71.45508432888079,74.444574569963,70.9336839061527,68.52697941367482,73.01127065394616,74.6414760940526,69.67922988924708,69.46314175525995,66.30847391307269,68.75061675964513,67.81764962838692,63.66576745023183,60.458191781358416,56.75960871426767,54.29021388700047,50.493366369715375,50.27898736440392,51.20415269107776,52.60650270744655,57.35155498962527,55.74527611527873,60.864718028850945,61.71585563555572,62.858806863903396,63.10987561929465,65.58344125692787,63.19490536671823,64.16852425027889,60.43059468023976,62.318573618810085,60.79805317088489,58.39358816137327,60.34275724170711,58.910347937022784,59.104794132666456,59.478114020487304,57.1861018374132,58.35148551229742,54.34722454377186,51.45263054093501,47.61359723422574,45.81490061876363,42.639621912558376,44.962190530570425,42.39339948986595,41.13652540524156,46.584173813816435,45.53945576403732,49.991793492360685,48.29383737454878,53.29760422121377,48.91365588622452,50.43882438504831,51.047094599572446,46.83763289982261,45.269451114332504,41.78919502605671,43.984720295699,40.38608895210992,43.2747253112254,43.11270677212448,45.07799584272999,47.85411692312278,49.620719269171836,52.74760323335082,49.40207405974755,46.90433105920181,43.824379040849905,43.60946879844094,41.562746752726675,38.75100851421877,42.20314446844292,38.979074944077155,43.46017121023214,45.46451665323864,49.73923179961197,49.92750782834872,53.30716678284742,55.7209464025254,55.414435259004776,53.43322487167259,49.94794813722827,48.99735629764677,47.900364838472846,47.123613475708225,49.572446685824836,51.75403464207013,56.26166453009082,54.81680757142112,52.4235427405996,54.86790646633694,51.755726730829885,49.28207548390552,46.71063014624704,45.49961616838745,41.168347274391486,40.56596563625011,37.01959004829028,39.00109661993927,34.83045356327162,36.739756298140726,40.54769568815687,41.448190942534126,43.18747951869541,45.74757050383607,47.09581274124955,49.75099842730192,52.388811841890856,53.139513811969444,56.842566860886976,58.53083366575921,56.96428341867156,58.614288851534425,60.5959038407235,57.570778361573005,54.4677693112665,54.26455652627388,52.450779912288375,55.17459382534196,55.18136535267477,54.96282329955526,54.054384385162365,52.06282338406697,56.03685634361212,57.992466992564275,58.389981911939444,58.89414582393803,54.149837552340756,59.255594240389556,62.279868423484146,60.32749033798391,63.70564928463502,62.88341362504477,67.70859303889569,66.56391875640875,67.19170367415096,67.56616855551466,64.29260819999506,63.02689469828863,60.178682372685785,59.44877516221816,58.5971640782294,53.99622844296765,53.209605907928605,49.37261372391343,47.55377539685752,47.84165983888957,45.612948470034006,43.241217892910626,42.92084366939202,43.29704224815717,39.40587826341328,37.350920117803625,38.960745978102636,38.64336904211342,33.66632483978315,33.3755780003257,33.88899907974119,31.090756481269672,28.608052895354668,30.05464403781222,32.31879113200082,34.43116798907936,38.04281494793479,39.25219384664097,40.31301037705646,45.74064572689694,46.6730429921774,50.10073792761838,51.08874491093191,52.26421122964109,55.41437192531457,54.5933100603669,58.84793545213803,56.919039310199395,52.23591744941489,55.82981855508161,59.0120808910072,54.957477685902916,54.15589735476452,58.411459633298655,57.72488617719769,53.58249380571217,54.83521456426471,50.20828431674339,53.05252922311269,54.853438761623195,51.96322965056149,53.69328469211598,53.86247037396487,52.39155047102787,49.90003958575024,48.760906795731294,48.55447119545158,45.27652892674268,43.56988824933433,43.02392181713135,40.53829512958675,38.60425634267506,40.92281111740696,39.19582198741893,34.59040134375504,36.32155367391163,39.31534008426849,40.25475601440202,44.29239341272868,45.748484834668176,49.25366363529891,45.857753014196824,42.624652670514116,47.62260611660079,47.773149295330605,44.483446620326674,46.0322534029521,50.92512725918979,48.3079052752878,44.8930825050397,49.233482399893525,52.14052105505246,49.24336313759448,46.247685750627774,41.88630031259758,44.3673794377992,40.36943367741588,38.52028651647372,35.30500336490374,35.945325860794036,32.09632889191127,32.709325275002506,35.9977665309826,39.135751058778524,41.319421699466375,42.37164045123221,41.14226576250674,44.41658756383844,41.98751411321787,37.90486019500479,40.069323921689254,40.723621155722746,40.918070174844125,36.084638293390135,35.38464170303977,37.466285142155385,35.646104207506376,31.20956904877126,33.78893604489406,33.94611520992478,32.9510396851042,33.60894534299027,33.39806851461032],[18.671238416338596,22.187199482809195,27.11752234681391,27.215536276873234,32.388810740890605,27.914896191759503,31.15031274835515,32.06069364783497,30.64268652933421,34.45009788914655,35.03068613731069,35.482917877099304,39.172819182864735,37.832469510410355,41.12482166347383,43.156164035450374,44.03240008216325,48.27883636837588,51.87214903993473,54.14419893755765,57.613571599193875,61.48590555273715,62.70301527425474,62.502474215111164,59.599182402758764,55.50245053704258,53.42308686983229,49.29621245668255,48.74154064575078,46.861139591418656,48.193430022015086,46.93012366293394,48.709826571777505,53.29776748452241,52.534466997302985,52.32143485795744,51.06562471761465,53.82088390029998,54.36688402883501,59.84665384822682,57.75479291298335,58.575020243655736,62.775191890595934,63.14351544383171,64.87841402003835,63.88264540910194,67.97381834150454,67.28007956840668,62.7788962322101,67.18045274255903,69.2616777459059,66.50860691108457,69.66656417435762,64.17467948174239,68.31612373326972,71.38391687485569,67.88170089442671,65.69735852258249,70.29110457739729,71.77442868963885,66.95927105116267,67.10275941526498,64.14026609751531,66.60492728888522,65.3633031927087,61.1904087992493,58.17635710046371,54.56364498218164,52.15458932440444,48.56249206544669,48.31920193974883,49.58102262651947,51.01719580680363,55.59638632395042,53.94175748650236,59.27557365994253,59.69815015700062,61.05930883316685,60.96255143713518,63.13737874356472,60.635148274359985,61.23547300214721,57.487958580217594,59.06485458860118,57.40848236310436,55.31982478995004,57.50251246987957,56.338478801596494,56.69870583670906,57.520927970307326,55.34900676559003,56.91662411371491,52.936838220673245,50.035720650985816,45.941608352101994,44.53923019901368,41.06272079446712,43.21340382520314,40.39190532799711,39.20155293802109,44.30319396085167,42.84949173010721,47.17094860536341,45.06017619231758,49.71006447492936,45.126559813336186,46.47219418765712,46.801723584952725,42.49290557935907,41.2431834999028,37.661671535384336,40.05826398732736,36.668946155119514,39.515377765101775,39.795521343461566,41.615832530614554,44.68649341637614,46.30177835125447,49.887604336137905,46.70726572100318,44.14053376646368,40.95215065195046,40.32216189996289,38.07801653186788,35.104658479188906,38.18178405335141,34.781486284350464,39.22250777203328,41.10347444335288,45.52371740414229,45.353670626318724,48.75796487914354,51.20074529819825,51.16835605049303,49.05318569906113,45.70221183276168,44.406135957918714,43.59199494941696,43.0029232338037,45.65513577307607,47.96526917451425,52.56983734367354,51.365918915698906,48.85934470324888,51.39588483667679,48.50655351279504,45.86667797753326,43.40077715138801,42.03764170476959,37.84453334703001,37.147722519711394,34.050458912858325,36.19070967797495,32.353968987104615,34.63528831985611,38.100337244781784,38.79002846740908,40.14476786449022,42.784121462346285,43.59769485580254,46.04512654997289,49.014514809771484,49.43682894292897,53.24153011267655,54.56192800932166,52.84793624336539,54.27512446454057,56.139955523165895,52.97490037837512,50.01993622635009,49.842289560243486,48.25881142768427,51.153996403601724,51.35007328385547,51.39754678822383,50.64551022185355,48.96785823231152,52.982967051324806,54.663315323376004,54.9185948026329,55.10962846412091,50.28330625130749,55.17531371902759,58.09492913567116,56.18153414875728,59.79058640040791,59.22164664110397,63.85394003203708,62.61917153592219,63.055660543084926,63.238323589546034,60.018839544565495,58.54204919568769,55.61643555111859,54.80375812287589,53.80653170540681,49.20220611112529,48.39269976856524,44.462761144292784,42.87044095657043,43.04615842712026,41.06284030952981,38.64068067358806,38.02930864847166,38.54076474239484,34.7996923916828,32.39822779298198,34.01733372037883,34.07669125454687,28.958646944254905,28.437395009535262,29.140934337309844,26.59449901724961,23.736858465784504,25.09693027011652,27.177610330736066,29.580723218654647,32.80793561893172,34.14318002916956,35.382370855282865,40.793433539613815,41.88335486151297,45.257440168907166,46.37265742013644,47.4725160394236,50.695026844802996,49.94506948166526,54.083251611291224,52.013495318345385,47.31643639016796,50.98220214352185,53.998425733141445,49.856894504811436,49.13247181406294,53.407472217966315,52.536297616204884,48.37687882169465,49.8008371072658,45.19459919089843,48.32133462527467,50.11386923029513,47.32853063290481,49.28609829170321,49.651915453165294,48.28566460077378,45.527864225552925,44.49165257545846,44.604529468458104,41.20846357973117,39.26249007949252,39.04051981128984,36.71958412963404,34.42834265311565,36.78992400138957,35.39409890281719,30.761558775528332,32.08412406646633,35.17445789214112,35.80624190063222,39.88114070482896,41.27544290910582,44.667248190541045,41.2093890616248,37.83031762126518,42.804464034540345,42.83406021120249,39.47467778847291,40.97236201294522,45.838751464024234,43.1210175799596,39.656023248467896,44.02337429584194,46.89016174367051,43.9320699708485,40.9144583788966,36.54979511656053,38.98974513006123,34.99071930193835,33.170768050094466,29.943288318516792,30.70021791098416,26.958151779558513,27.426080270004057,30.7581331095674,33.83479568110633,36.10321696696235,37.21526631407076,36.20552952804715,39.63066742382299,37.388082434826885,33.36461843152635,35.8356155250537,36.50014419735521,37.117532876794144,32.180231830731785,31.26427384053733,33.71603983172133,32.3069039171485,27.43892638671234,30.101150655430146,30.795561132339287,30.076239740844514,30.778311201767508,30.603666760418612],[21.68701928134843,25.152219297958663,30.238123494259632,30.4148725823838,35.89684601225288,31.949542023139635,35.383126572818796,36.55954650461289,35.28593828958087,39.039213719190656,39.774126169663234,40.36024543980186,43.876913974490634,42.444173230634,45.89488726492813,47.94223769246702,48.63290974969952,52.90287604502878,56.337846491392185,58.67529019828367,62.07617432140248,65.95446686421329,67.07792648376487,66.72106425881144,63.87946650624673,59.791146204184045,57.772485280924684,53.69991775453969,53.33740424981974,51.574798223050344,53.02614650463929,51.80438785831805,53.66310720268106,58.24070808741559,57.40613657239064,57.08987878850348,55.825914394662114,58.417613158392435,58.823273132026955,64.28918846121198,62.0439343009994,62.99949297507711,67.2361967800338,67.44266942376399,69.05457668533913,67.89289230201555,71.97679236129214,71.47145383880192,66.88133880383502,71.15659345367759,73.39243076958154,70.76803322694117,74.05825435285834,68.58598540014941,72.85591132639452,75.91609821069768,72.37361622908591,70.33335841659103,74.96535896600508,76.32505604012985,71.53470204211023,71.79908018128867,68.9049315611176,71.26724774579964,69.94986191029632,65.82634410220433,62.74006578268867,59.2206059178847,56.681839542635224,53.18341720665148,52.80544207281073,54.01982766531508,55.63410976638144,60.19834602275094,58.68678137842526,64.08115787391452,64.48287265088022,65.94058012618525,65.7972899812846,67.89708198563463,65.40975868847333,65.87629826113405,62.15358684362304,63.58777220981696,61.842324349608276,59.912076950427156,62.14767274872292,61.12087232950372,61.4606752956885,62.42186122811086,60.21674084545086,61.802948548442245,57.83432716426062,54.97752629949125,50.847276379243276,49.45807374749428,45.93670420536877,48.168711106692754,45.330571075953884,44.140081397182854,49.19133350544115,47.59211185823571,51.8943445912246,49.58169492564014,54.027190636042256,49.32909494942066,50.46051094063617,50.58088010587522,46.18817187355964,45.24495896122241,41.64207576235807,44.20699667637501,40.96415120251137,43.70376087203904,44.163819119343266,45.78512522026677,48.97403880256111,50.36400001000952,54.111160452025494,51.126047796711404,48.43699278203674,45.29178400157617,44.3726455047166,42.17723312602757,39.25221972591219,42.11361962648817,38.71662976218549,43.09709840515612,44.8596468587747,49.40069647223617,48.82764866452437,52.234839290998934,54.73330774059719,54.99345748891394,52.74489447488102,49.51716740100067,47.812432080144035,47.2245543179032,46.67549483364803,49.52749724369424,51.68507952067828,56.381900639761845,55.431941773324134,52.95821346538119,55.62341848207519,52.9152586655263,50.18164614866845,47.86022797804102,46.468855775592054,42.3681706598423,41.63282294843086,38.74811848759105,40.852375767240055,37.053404586263305,39.53067661142713,42.92722442401087,43.589150471677534,44.78876830861613,47.46607065229517,48.01922505216048,50.31134281650656,53.44602759026192,53.589298673468484,57.50659331436784,58.53020177971648,56.58720968796204,57.89160844886143,59.533791035948546,56.24022168155924,53.42602740808543,53.38250650922358,52.030676378037484,55.1430204270928,55.51816837497453,55.75281943149684,55.09910905286234,53.579663192169654,57.60380288057365,59.15353667019455,59.326507724966056,59.31563314064604,54.44473699005474,59.15092954684743,61.96801702728937,60.084982181757006,63.86170746303148,63.44133311207358,67.92378217017544,66.51181772786433,66.86730865660245,66.85864819597296,63.75649670689049,62.056012349668094,59.06249290969053,58.15273491797794,56.92139524912474,52.29016808866668,51.423262929880195,47.34595945500409,46.08141077553634,45.91098525221384,44.238513772363476,41.94417590068634,40.832193828306856,41.26346588790953,37.87709716974024,35.19915413360769,36.453543113523025,36.72862223946784,31.867312593514757,30.866731458662823,31.3431625896059,29.359760729557436,26.356600131596153,26.911972515940956,28.95897468939207,30.975111140519957,33.96512565794747,35.7593645601538,36.7961112321641,42.045390485654075,42.66426902299165,46.28042616026788,47.90309896724523,49.31023045419323,52.71207580398435,52.384075279683486,56.34556610723899,53.94085768890735,49.57770351943248,53.45089676416838,56.11617029067117,51.89805560591135,51.52053224867484,55.86766170654621,54.562859022720076,50.4418362096097,52.41054508214412,47.77485946305088,51.32556982704737,52.9651499539557,50.11983821748476,52.33782660239743,52.61778015271383,51.62292363459701,48.71886512722104,47.40407990917557,47.83404437375535,44.62991755574591,42.29995645673456,42.04519324805469,39.93229876076822,37.47625995082042,39.38085833135353,38.08432745136384,33.61224864228436,34.44037418372889,37.228169687751596,37.84201869487941,42.014892511370796,43.75286190158362,46.84055950347462,43.019044144083736,40.02413682180025,45.03222508628149,44.58606717814622,41.220354703767875,43.09231951220208,47.584306604518346,44.465333779511525,41.35293410243995,45.942424329769054,48.34027594422205,45.07829160121209,42.28810874831462,38.09998125720521,39.92864668241206,35.9920546691227,34.07732528510592,31.46048062426372,32.719747982987855,29.475515352586243,29.5277626996349,32.97842356233829,35.70646190472759,38.33071393379805,39.59392276017282,39.193084802794274,42.797805228765,40.8807867589691,36.821010192622495,39.61277287985687,40.0996675355888,41.066529597357636,36.186314814653464,34.8468421196012,37.42423193725321,36.49117626418364,31.230000775926925,33.56822764304617,34.49581877372794,33.83103299616357,34.587675141203235,34.44065145527793],[24.680568052343173,28.0333411661242,33.015385659221856,32.53962843267595,38.110854647132214,33.870231891821234,36.95198608166205,38.19519387224742,36.29606844322141,39.686428622499186,40.11477226302395,40.97482734763822,44.54263114407269,42.63103352623026,45.963806227611855,48.301613605734424,49.00100071200856,53.026540393615555,56.25302060055528,58.91663223262468,62.11249004795732,66.19833624297215,67.10483501903313,66.77569342350483,64.17353651515742,59.94859484003567,58.24783586520011,54.17943414495175,53.82859072592588,52.26965360097402,53.14045346650638,52.44668057279032,54.11821874191466,58.54490361033693,57.95683721399207,57.554563308110566,56.70976016083914,59.18226824839458,59.73067407442291,65.45745841978145,62.97161942763879,63.58385198133529,67.90800260430034,68.18533223598766,69.6423516394659,68.6128281027399,72.7061128373498,72.29017791199419,67.92031616522212,72.35953702788461,74.65685079806114,71.97793810118021,75.19077044168921,69.72225644526637,74.05532930218436,76.8441943538356,73.15168054617077,71.1318127153746,75.69160944374815,76.91882134009848,71.94784912261906,72.01244801316889,69.04937813753159,71.13740878157031,70.02272330699006,66.03234520598991,62.54777850254222,59.11860712191404,56.27343885477754,52.74417173847657,52.176540281953876,53.0310101401308,54.8890626751846,59.56405449428094,58.370976603123665,63.701540885971674,64.49286398691483,66.0137532266148,66.15359375271056,68.45114502654047,66.27378417760004,66.99652142136556,63.52912871748939,65.15038366260207,63.2720643210324,61.10602364356744,62.985086876256595,62.02611184977096,61.91529870858204,62.783862659212375,60.27744124605184,61.5291651707322,57.58126005308091,54.90568257044532,50.87010409863857,49.1976768599291,45.775747157671724,48.539105090577394,45.997530498486555,45.24214727297593,50.280411645614286,49.27678543669684,53.39446166087073,51.58532079135451,56.24095763992174,51.654510908178096,53.18072463536094,53.34823241668049,48.983934528942214,47.848986322477785,44.087228172448754,46.19080025266313,42.598730784373906,45.080471276892816,45.004508561762975,46.50881232421325,49.43320520583295,50.72281895076912,54.0699560239958,51.159163052645525,48.3627070168452,45.41099053828045,44.65345129153296,42.80562588466364,40.21938475110605,43.51641435074781,40.699436776224005,45.1296274672058,47.21778314578213,51.77667431755644,51.401372474418594,55.023150702494604,57.24554825093186,57.4460567090132,54.94855801816203,51.46096215323843,49.93045479099983,48.85612987324198,47.903929719167195,50.650746129187226,52.36998237824925,57.023876039660195,56.01309818321287,53.77796322420007,56.52487437369974,53.78753139274501,51.13936331531726,48.98054476367477,47.94373937334436,43.78748038079947,43.51740027743843,40.36524620947739,42.83635166686149,39.039253542728595,40.8937238555123,44.419445397431,44.873817175622705,46.50559872071887,48.81130757947238,49.851481125401286,51.93478919206979,54.71028936480674,54.82088229732369,58.82325034301697,60.034007254615666,57.9699299592451,59.66087985706056,61.22372335220431,58.138554561572036,55.10201758999512,55.238800569318876,53.65786639483045,56.85582572058728,57.26187544688999,57.398362878882544,56.87650005694803,54.99392267275488,59.25585498219993,60.75853485506824,61.203670293034705,61.15327549814958,56.54910123141783,61.39587470848994,64.20472550575647,62.10641010724279,65.57595405068886,64.82695250546902,69.42547301561216,67.80601179026856,68.52271618234816,68.68578665693605,65.6764313868134,64.21552962017896,61.37847184953765,60.70186998238801,59.71526290556388,54.99147764140408,54.429103883917115,50.478963934656655,49.18849701835449,49.423728105810255,47.70313381479472,45.14405025828309,44.29900619049465,45.03735148771882,41.45081538354697,38.59381539035959,40.286411231823585,40.74493860605017,35.566286393496924,34.749627245765836,35.553483100894724,33.3515742763482,30.195016411195102,31.16102054129569,33.00150098244672,35.46484738936518,38.05388368762271,39.900769514844704,41.21427298985876,46.49188189042668,47.32485940585785,50.84848280372791,52.42547108825608,53.65092397656563,57.00890007780864,56.459565056287346,60.441572905935736,58.12395996988815,53.53041347034186,57.297240785449894,60.015874021053364,55.728108626048126,55.15733246259164,59.42335530293615,58.15596720759564,53.94491693647689,55.59618096988626,51.181545298802384,54.665087917553585,56.533438474544525,53.9011948327103,56.043798851926944,56.518726519958626,55.22790575006952,52.31616459879735,51.34558876129884,51.621323844915466,48.18504369333687,46.1278891048876,46.02062895925813,43.77473520443727,41.364772808498984,43.609464101640484,42.30240210881581,37.716984156380136,38.78186434891392,41.74546545948716,42.28643854722426,46.421095670750965,47.929572075266215,51.13933055308143,47.472586952010374,44.186169029047456,49.135294883115236,48.85071416754684,45.415676828506506,46.97272072025905,51.66266445324998,48.577428750875555,45.18140572587125,49.63198510715438,52.24112738229714,48.93892006595854,45.95133714345323,41.61869592706438,43.46438342751213,39.30013476007187,37.83399117120626,34.89081864175142,36.30108316939234,32.84024579202424,32.57443473027711,36.00082577709993,38.718928235919265,41.27409301770364,42.8799191929983,42.07450257346265,45.72100433545455,43.4040066481518,39.80841441655375,42.54135424703049,43.36288623770877,44.071359854601916,39.013842675052146,38.202790061518385,40.796396157890555,39.286714731273726,34.457055411683044,37.17085510889941,37.89110078384725,37.13559394780529,37.79365151320846,37.53582264712771],[24.176404619797793,27.348546093192727,32.2264867193416,31.28844902941478,37.01234273639666,32.904314856826446,35.85528522266073,37.365055469753294,35.2393048710677,38.37551933637949,38.855024743625854,40.02260313410785,43.34084582090669,41.156421340677305,44.634994530569344,47.068862590986335,47.5454548643544,51.50144809015705,54.50915621112165,57.31828875038348,60.38390808481242,64.52529725952846,65.28959345735126,64.86072028905498,62.38483913709745,58.128467713992016,56.57106925002784,52.573187446328056,52.39698621276961,51.063350876172464,51.88500296632449,51.46288314184661,53.23585450165637,57.55354669244183,56.90660358486605,56.30186476407418,55.647211137284636,57.85686126700797,58.33776619815873,64.17141453091799,61.44665358270051,62.0099237391395,66.37738130168526,66.56343587657264,67.8651946867229,66.79732323936463,70.885075947371,70.61571532714184,66.31214878818025,70.74767567110011,73.17188718921142,70.5417974491116,73.81169893623651,68.3731154906396,72.85685242477207,75.4894675818266,71.69209321322926,69.81904181354821,74.39190344232688,75.43634894491223,70.41892649269128,70.54713192619646,67.65641507893619,69.54720722187902,68.39793290302534,64.51127739572922,60.854746680267546,57.55341214537576,54.51814051596213,51.10448539241687,50.37457444088425,51.15661308640203,53.216275847774085,57.85218631641616,56.88100835466222,62.269987230343105,63.10165963555112,64.798758395321,64.94728248390956,67.21018104682244,65.19728688626154,65.88815365546269,62.619093311397066,64.17915553659768,62.13392538167198,59.994386097943284,61.73255008031011,60.98675513440123,60.63670606070173,61.701654755469725,59.04669190462273,60.2795152945487,56.37553749989272,53.84368580294852,49.748871894107225,48.104894537955516,44.601521782344065,47.651045041038884,45.20103685378384,44.82086879104123,49.61544045553355,48.83389665464607,52.705939069021085,51.04874727984486,55.62453525415114,51.03454401479527,52.74960815344752,52.78523591270619,48.4061835470707,47.326030596083676,43.40685890405802,45.257254811897724,41.55545984308063,43.78527030759961,43.56081679001154,44.86932928809945,47.75078161910272,48.85763874704499,52.155204713052754,49.4215846676282,46.513638051933995,43.664656030434095,42.77965287645503,41.101600435005345,38.70933211544781,42.08924322128219,39.63655927820142,44.049414687145486,46.3054695598779,50.93518764723228,50.49394805822565,54.28302092255023,56.29314530163523,56.61686718919781,53.845014669949876,50.2689634045226,48.670618024488675,47.38913685363906,46.24068349911749,49.01939391841432,50.46015939762512,55.127271684006104,54.220633433517186,52.1118601195265,54.96501735923652,52.356173184499774,49.6870341470967,47.73292802492246,46.88725846245044,42.804731814925034,42.83976398281594,39.77782297554866,42.59521233926279,38.961545269247424,40.60185859329446,44.00137766029297,44.173324823177424,45.89705657016885,47.94803536095036,49.03589845149537,50.82090835862796,53.50161565348141,53.384746506878955,57.49822169502166,58.60584210262036,56.384537928512856,58.22023130883362,59.65232569844449,56.65528592517821,53.54426612682344,53.8385007572633,52.228611599449785,55.58557092270004,56.12961689900076,56.35154173645733,56.029172560592606,54.06359821570516,58.51435571207208,59.806582419405316,60.37708167997389,60.10054425289666,55.679232629717234,60.483071210513664,63.21149027232057,60.975990946409254,64.33582068732684,63.488651750102036,68.05287462507013,66.21459889689824,67.08770384678216,67.26849948943517,64.36537805628593,62.97475965197423,60.22636986760721,59.685241326435,58.80092617128048,54.035504175559595,53.685209764709946,49.79731680164918,48.637310768648554,49.11817546994553,47.52754869586676,44.75374952615,43.94243852227082,44.99599748335343,41.38446043881938,38.20175890083587,40.217042934833565,41.04573574534497,35.60828088352716,34.790953876917634,35.945599282714674,33.77309565721823,30.31497931517684,31.507033577724815,33.04763726899628,35.979014923612155,37.99659690759328,39.95702539785306,41.57868722462881,46.827658868812996,47.93081527178075,51.315467994315824,52.92995802559239,53.96273347059865,57.31577010765256,56.642137206684836,60.551144733405344,58.22354839211362,53.4669805845193,57.174487958694044,59.818909997052195,55.44464185710974,54.77203643627096,58.961530142499214,57.617846261141395,53.34753616788799,54.848048252520776,50.64398170145509,54.23103223647712,56.25683073392357,53.87280535552054,56.08848650661147,56.83625566742058,55.38601113867193,52.31594246850679,51.679755247675004,52.03301147709028,48.373879888354836,46.390715880990136,46.59302762369544,44.364430767781336,41.799831825693126,44.303243193646594,43.19591442913279,38.557609981281786,39.541713486021074,42.659171904135505,42.95986657837294,47.05726771735671,48.34671647911251,51.55911615539805,47.99392293541797,44.42523572193392,49.27883549607063,49.0431047441573,45.53400641805255,46.808069518179266,51.60821634650108,48.49606619173894,44.87180791378295,49.20333463238562,51.93028806773523,48.57946447526288,45.44443647387643,41.03105927276627,42.840040748823036,38.518460537732565,37.43901327899447,34.28422270261702,35.887075509888824,32.397362040858624,31.77147277992806,35.155511147449275,37.780972288463616,40.315247972443416,42.211582093232145,41.23894622796696,44.99112540772978,42.49972036826839,39.33571285716529,42.20037461330563,43.275976277672605,43.988852470243046,38.84626528646858,38.314381062978896,41.09554050011009,39.4349930542334,34.720679902841376,37.73448775722268,38.5961769939997,37.89422691541373,38.47160577648641,38.094071168999534],[27.677615385919147,30.853918209590212,35.650352392381066,34.55930103571135,40.150864748094875,35.71180765704137,38.40967357033003,39.71396745072765,37.254473790799366,40.235968309922875,40.377775671069294,41.51319374856865,45.057639177953746,42.695133254569136,45.89290331544383,48.48696791740701,49.164790263153655,52.91894992791808,55.90582930749382,58.873429927940386,61.84741455452982,66.10823750186329,66.79697177408698,66.49303286622812,64.14135752574235,59.80957874286242,58.415566263877814,54.395041985675675,54.069719784059735,52.7357796199734,53.04935879601319,52.88659987063006,54.382479144948555,58.62404734585994,58.26156199187327,57.758981097787476,57.333501648482645,59.65500633460859,60.33060255784637,66.27293985824959,63.55900179867264,63.83985966193893,68.21729157684368,68.55892325852258,69.84924114363042,68.95152907778383,73.03722580767767,72.71235997905784,68.58171552018682,73.16142269257438,75.51802848115408,72.79090003804862,75.91883855399756,70.4764922660792,74.86205235024067,77.3803172908543,73.54944757439489,71.56101518837549,76.0428034063092,77.1332553946211,72.00025454754874,71.8799163530925,68.8718014272003,70.6769059880419,69.75104323812228,65.91924060504984,62.06574715316629,58.75052018187595,55.616205738677685,52.09653309389101,51.33842510292551,51.83684664041599,53.931174453715904,58.6693082846712,57.81133893339847,63.046682517731085,64.21176715920849,65.80511585956661,66.21358165072245,68.68334921859908,66.81493206809085,67.77162843080399,64.57603611938688,66.35042801338649,64.3526109424713,61.98318122577841,63.50500309684812,62.63233219976559,62.08009676067314,62.87748181646178,60.0876854452123,61.01335241420745,57.11717173479695,54.649733911365985,50.730303579313514,48.8127458755375,45.513494532667146,48.775399512411845,46.543065910437264,46.24278796519375,51.187835597466275,50.76372533347464,54.64945734078612,53.33211149071176,58.141398292184256,53.6892150203375,55.58811310418825,55.79134185780428,51.48025310485069,50.17668369491528,46.28685926951821,47.92876983478519,44.045655333393434,46.24519002954892,45.65879800556508,47.025550182070546,49.66684349660059,50.839641519641795,53.76564352846006,50.963536202063025,48.085234422748194,45.35590774876305,44.75812814169949,43.27277350686278,41.04881381429859,44.718306965141274,42.47707030161095,46.916226668712504,49.303237081347184,53.845363763964855,53.660992873718435,57.4732318864743,59.40872649223883,59.55536851551141,56.81703702075158,53.11380476576022,51.76672208533869,50.224701667561526,48.89206333920701,51.513333051689266,52.79192554886602,57.373728711015815,56.307430901223434,54.32148561989657,57.12749682298649,54.390685276585785,51.843831856368524,49.86913810634469,49.186743230059335,45.02712786356734,45.2101393697771,41.86189077554909,44.67193942483338,40.8860897892914,42.19180207587433,45.77747109059718,46.00582232977623,48.02460145079682,49.943025971831354,51.42702019378986,53.28124972005959,55.690057218935344,55.75651879569307,59.81865793668183,61.18341631884693,59.03103411511611,61.077495289211946,62.568110986110554,59.706790082953454,56.46679460204446,56.77330812912787,54.97818379863091,58.23963054689761,58.67736444467315,58.72556355402558,58.34686828525573,56.13025702019987,60.6051002634094,62.03362005859344,62.745051659435575,62.63585279470315,58.32553380016213,63.278779310579296,66.06432357048044,63.761224901548154,66.91533754115498,65.84974428100567,70.54440966676067,68.71978089926091,69.78423109795672,70.11805966351896,67.20255953182057,65.99332938438187,63.32685797720244,62.885449894202836,62.144857724128535,57.368173232575444,57.09349959370059,53.29014915288238,51.98152614953718,52.61450274143085,50.86243502143318,48.059631190202325,47.47995584146342,48.51645343592807,44.7612392033723,41.751959941034144,43.85561342968835,44.49670212934439,39.049917105026424,38.41290442364704,39.5287440679361,37.14258080895774,33.85780154437236,35.21395443462258,36.84807830962991,39.718833148024544,41.92987993186473,43.79219717219314,45.374728067608046,50.66735236609788,51.76323849206694,55.15181956500427,56.651318523450776,57.67607397147391,60.977637267334444,60.19902585695642,64.18928507728106,61.9717788602882,57.15124150318075,60.793720645265665,63.564951463792255,59.223758888794876,58.4508780325061,62.61447571355408,61.405113843818135,57.12345874416565,58.43380989022219,54.26140367185695,57.658729505977846,59.74410122406179,57.34403369333223,59.41328346660406,60.10256865711938,58.51595707126943,55.58878441391201,54.9768763588799,55.11880202602937,51.45966166112315,49.66818566737219,49.732996475508315,47.38046682336369,45.00646625944816,47.58045756698379,46.29477937896381,41.624839012754286,42.88509148823762,46.01514465933109,46.46359936644024,50.544613738937734,51.809127318407484,55.12997817000194,51.637447171969306,48.06126301366249,52.92871531323661,52.81695319530969,49.32706107691427,50.55567112847445,55.43664761008987,52.41115130617388,48.739062379358224,53.022335763681134,55.843140951332195,52.54036378178185,49.368299431517556,44.91982427214534,46.80463690441026,42.45871788496092,41.422622417511974,38.17966949732916,39.684743281225174,36.057960435752484,35.5242813714216,38.86872088884059,41.5599989119587,44.004838939770124,45.90256929980619,44.70253389154776,48.361087176442176,45.679507945060784,42.56509237554931,45.23108419255781,46.37095202060631,46.80597976904382,41.67592991904958,41.36564997025119,43.96208932751346,41.965614500791276,37.555098499857046,40.6152842657731,41.17204126345201,40.32502866689949,40.87108937554525,40.46745534686325],[23.43171864820202,26.469503503955004,31.05829576383302,29.72095398752324,35.14510610384162,30.517708191866664,33.05077684767594,34.38590556593999,31.797715224581808,34.707919583405875,34.88457138151393,36.12254510314484,39.55471910142201,37.1722833384236,40.4406234234108,43.01849861855652,43.63698447380263,47.42134416032756,50.436974819090594,53.36142137677712,56.36795580445194,60.60468774771421,61.33492484076247,61.05409442660297,58.65176529327899,54.33019555773222,52.896669980091765,48.86325804505646,48.53973221806434,47.23484726739202,47.64086577007988,47.489528213697476,49.0977542168417,53.32106121970346,52.85798679661855,52.281901198432486,51.867529291113584,54.12526151625638,54.79737145704664,60.754222606219,58.039092380873555,58.307227697173644,62.68248345423294,63.03828282918475,64.36401176294848,63.50614417570212,67.59651458376942,67.21437886472383,63.1039873639998,67.72004047626481,70.03575447024915,67.28390936202429,70.39550859032332,64.95476256308244,69.35138650459642,71.84982683511095,68.01647843547447,66.04301542963991,70.53410775401444,71.61034380445572,66.48786676373301,66.41327415993297,63.437913086514506,65.2656008072631,64.28372075655203,60.43205177277988,56.6344867953893,53.30917426818567,50.22126257610972,46.71592824232152,45.99146717432991,46.62428892057348,48.66636319929732,53.37206710855927,52.45691681864846,57.765799815727696,58.805927534930376,60.462454784649246,60.79034647969329,63.204558453240175,61.35261495255817,62.27929653791729,59.146247207451,60.911095971277106,58.871566755619014,56.48988469981175,57.98812401071449,57.1815599756179,56.60381254168014,57.5131414504304,54.72760773442575,55.771288397933496,51.87865213495669,49.42234731881476,45.413431801748395,43.613656601242425,40.20237316745218,43.49476313368773,41.24717172010314,41.149948959074464,45.91028658018325,45.58647237378732,49.32335551555503,48.110702361682705,52.913536747238524,48.50967442371104,50.586221600064036,50.80341902678451,46.54365536799788,45.14301688047403,41.20147460879522,42.636917160776484,38.663515237134135,40.805397868732065,40.13279035503182,41.526251444320096,44.14684635277468,45.381349344953335,48.31593601165031,45.465817215087235,42.60942386919888,39.84252932295818,39.29696023568148,37.78921505932923,35.57761827797753,39.34770545489351,37.25243677856088,41.68741811327506,44.18743096156673,48.68432746646409,48.66435361331397,52.534323267261286,54.34632390105653,54.40292817041525,51.63120530284024,47.84247251171194,46.68465327748837,44.97125323474898,43.582991011626596,46.11515799310944,47.44641748961821,51.99406150157577,50.84111294196315,48.84111597070477,51.61812209388501,48.85811380235219,46.32565909312461,44.36297835745884,43.74605659615169,39.60255174285359,39.944177882369466,36.6203300842689,39.6622267629231,36.07138466565618,37.17849111339372,40.63732482970846,40.688440996526694,42.756162529876605,44.539500077783195,46.08644488522353,47.85997849415942,50.19365038624839,50.28309768416899,54.33087750774911,55.7760216910294,53.69303352338336,55.82386660673575,57.40049742154032,54.626934623638526,51.30047953880067,51.57127732294671,49.65989174209737,52.86266000043965,53.27406852049454,53.29354481773333,52.96985765757101,50.6989554858219,55.248788757468034,56.60326430241041,57.38028696700615,57.24224454184662,53.02563212452015,58.01970676391818,60.8103029448019,58.45257598053678,61.504510448452834,60.37069931404759,65.09646821188666,63.3100912048097,64.42866326820095,64.85207489981012,61.90930435831569,60.82799570176556,58.226745074557805,57.88040269373301,57.30303144778719,52.528846632337114,52.38100474990274,48.71427580569691,47.28757055851535,48.23540962512126,46.401558135015996,43.43347720766473,43.14784323225867,44.395162489945385,40.46686730390282,37.454140431612316,39.921829456996036,40.66384492239778,34.97880741105683,34.61179425227972,36.05681209340935,33.428431942285165,30.07772963815217,31.98877253155605,33.44789490112109,36.78766201904228,38.81452661426335,40.422084091458025,42.28753775473659,47.63098942490846,49.18948817576166,52.30769355025055,53.50564132611457,54.21922409046926,57.391950099632616,56.292709119636065,60.32598249324403,58.3193859349758,53.22744621465024,56.69470450729854,59.6312312895191,55.31669954279302,54.281136103640016,58.35043854358367,57.39029433183405,53.07367781335353,53.96854417020644,49.92383684006046,53.09869895714239,55.34788069893511,53.12998760593449,55.093952855676235,55.99700433664475,54.14066838196741,51.1978063740086,50.947196525224584,50.99380768791252,47.11060112088489,45.56626653741245,45.87041998434033,43.458780001808925,41.06361925598341,44.02666914949496,42.86512633839931,38.12663087841042,39.54701333559498,42.92185409633933,43.19871283753228,47.16639613315874,48.08245696377347,51.55207349096814,48.36023688232437,44.41131446873332,49.16345406853739,49.36998187312013,45.86433389704186,46.70238940187343,51.84579853790795,49.092725954705685,45.09926404373108,49.157569106666415,52.32971414038942,49.23369755267205,45.85830881909987,41.28295309534808,43.5788467198075,39.15930205183777,38.33805771714836,34.61486236487359,35.86433180594577,31.9641436120718,31.52086150524274,34.732971418758595,37.59614488920661,39.78164529563351,41.68996603146428,40.07600376468047,43.63374031511218,40.71864909932434,37.8571208341935,40.43355796696883,41.805181891642974,42.1130203426093,36.91018474904762,36.97743809659551,39.644648776772264,37.352481958672556,33.23892674843458,36.62499815947439,37.214098052746024,36.43634375863175,36.90195451321547,36.395198332903426],[29.27810814258755,32.15534333223308,36.55530619034438,34.789044736431826,40.143276543949284,35.43469116643084,37.56811235452365,38.884950395514785,35.78865077337574,38.21918377577003,38.01659714324702,39.47034712051694,42.905923725511144,40.068846586210746,43.059954099914634,45.90870647979316,46.55883242585093,49.96347045962823,52.68014962750663,55.942817012055535,58.66109753481305,63.084347557855004,63.55167646351567,63.31619795040921,61.23063418562677,56.81317572556238,55.77058188956691,51.81700846791275,51.49413800637744,50.42315045383166,50.11608629332649,50.56224520623259,51.87991719717445,55.8628247765939,55.72832378179974,55.10030793523369,55.1581669578645,57.28401279555534,58.11796726372846,64.26482132100801,61.34250793666896,61.21807925286679,65.62832131707987,66.07052032199795,67.206198853281,66.50768352988754,70.5618449626706,70.28336505602945,66.46478795692325,71.20571938757907,73.56645921134827,70.77530782510333,73.76305384031731,68.38284068478933,72.78664590618897,74.97229242402558,71.01584883904638,69.06891356858367,73.4239430166296,74.36225925064062,69.08087814617824,68.75170669932331,65.71447232979907,67.20717472533396,66.49554116795062,62.848619308018755,58.630123494046245,55.454892236040976,52.052203779466254,48.56490671680307,47.62395519756883,47.755569843460314,50.06251811659052,54.83402143385198,54.32570661162649,59.44324230131741,60.97423455198097,62.65158888195942,63.33214221166593,65.96484905067872,64.47152384217165,65.69100746059337,62.84676475560156,64.80197731332777,62.674808544326886,60.06590120030378,61.15754701756801,60.401406126838246,59.341590415847705,60.07959133474723,56.99239941322046,57.58406703240701,53.77732291842889,51.571556310702604,47.79253453442918,45.65737762223125,42.49676739728748,46.30418860773465,44.4553583548453,44.759942876515446,49.461875458564194,49.74539023597321,53.273305013414614,52.57865246582428,57.52877216281415,53.301082631625405,55.67383993932048,55.945912320928784,51.77037603012341,50.22657583373111,46.241208851480586,47.25976153048312,43.06287173921485,44.91099609865614,43.69997195794504,44.93368600681323,47.18751216084252,48.27913374081151,50.66722605595759,47.96332091708959,45.054424942425676,42.598550225717,42.26681069966894,41.20364519939239,39.42789575255198,43.518515560476644,42.0075195930151,46.38280256455758,49.112440478723265,53.54450642326738,53.6883429852102,57.68035002134636,59.24255782500964,59.247889712922024,56.29635933090436,52.340261731902096,51.34542100682818,49.221593454638686,47.46245187324429,49.83798506054702,50.6601553423621,55.07649569779294,53.881601872860685,52.18676014166491,54.998601434698664,52.24961833349438,49.867013707403224,48.10707530509392,47.8570154744344,43.74940170586579,44.4958837863857,40.97478830611524,44.20481478265203,40.62744025948762,41.152680714237434,44.69615917982992,44.59905911897599,47.05491162014553,48.459761351252844,50.475147984352915,52.04502009809821,53.96761280190968,54.03896009397056,58.102004946622806,59.715331898843516,57.539188871991435,60.01999441956452,61.48546102471808,58.94537105752045,55.46271072270043,55.91203976810197,53.82052612580533,57.05687949698189,57.48636046603949,57.39721458891537,57.185569088498596,54.58115224205463,59.274097438388324,60.59965564012394,61.63131508399858,61.48408137229336,57.57087387053731,62.63643386238171,65.39148349860558,62.86255157765421,65.58294332480124,64.12746123516527,68.92284745039333,66.93885930132498,68.4134229676169,68.99641351143326,66.17489832778068,65.32978684647203,62.90115796288171,62.76124989680111,62.38382202106825,57.5891832366532,57.684734772705994,54.14500781027157,52.7335961360506,53.933854259202285,52.08879380853789,48.991464282026016,48.86693991935654,50.27609362672651,46.28052979043459,43.20106263768822,45.86165826273599,46.67696539162316,40.91906109155473,40.62510605479367,42.165854713147496,39.47912872576521,36.12936904698001,38.111014261400115,39.481276469649835,42.91858411166495,44.73356154408721,46.43094628596351,48.38383591239495,53.70274210666127,55.27979418067215,58.391035490403496,59.62061283104223,60.28535435787193,63.43902739334911,62.250415867895235,66.27291372200466,64.30036556043572,59.126454908493805,62.524047395593115,65.45335716156767,61.10529758047826,59.98205564298017,63.97168777484532,62.99522029318697,58.648850028676925,59.35686474695206,55.516607494951494,58.642790237905785,61.02299377096858,58.94976575955445,60.84828666969956,61.841326747816716,59.81393123327206,56.91269551461264,56.840344101965414,56.76504241251759,52.802693743261685,51.44149848604882,51.76872582435068,49.28423281083764,46.982047679317695,50.0553678939087,48.83628564906727,44.08397044655899,45.63695854792054,49.03329260940708,49.32778293701265,53.274841201784554,54.11441125825228,57.62184252168362,54.48433471525249,50.460134547259834,55.16314753003282,55.41121289682764,51.88744930068349,52.58826224965481,57.774972062932264,54.995384206453124,50.909815582641606,54.87780765075846,58.097855297544484,54.94116776105392,51.50021586744951,46.9024582905001,49.062278553075,44.54650544444781,44.01885416566878,40.25853843050787,41.666153240723055,37.763246344259144,37.07306599871859,40.21955374646843,42.96542969840785,45.117158366722,47.26653695891616,45.44728714499586,48.99264817606947,45.83755986568479,43.36182378258979,45.837630218462536,47.39819585347462,47.483283018966205,42.28147632792943,42.6792957416068,45.263546403128615,42.60786887121415,38.88314064351153,42.376878551782504,42.75322463591852,41.87831454511692,42.290731726444456,41.72250658663562],[31.14165324425537,34.31529437056987,38.928037692672206,37.72258004690868,42.97307763337869,38.00295209992245,40.31110091496631,41.20835199442833,38.35660406015741,41.16620739743945,40.81151525720622,41.78411351573586,45.68552343415888,43.21328725660606,45.9266941448061,48.67422564812861,49.71884492848222,53.19339116310594,56.24707223657357,59.334651795122824,62.23576353912473,66.608072296401,67.27200201211203,67.21392757315996,64.97300328855678,60.57409199868685,59.32902681347112,55.27354584974479,54.649224689033844,53.23152639686439,52.85787926355066,52.95711794605139,54.03256325603606,58.17244304657453,58.218022792691386,57.93257808240713,57.76442155728701,60.3305058785213,61.31345662900201,67.3414987906119,64.76985162254418,64.65443744799865,68.99399169656088,69.61479820760655,70.97145158777519,70.36697920598493,74.43854956486268,73.93160047215514,70.05567293516604,74.84499118119105,77.01573302475391,74.11918651584566,76.98927455103755,71.5520409345063,75.71092012614912,78.11655808831715,74.29783167130492,72.079215480855,76.41616038494978,77.65707162113986,72.39549374987271,71.89526868094767,68.70930642976221,70.48420868941592,69.88586797785845,66.09765000923178,62.08704502436869,58.70238581556706,55.55841061782509,51.863371453245094,51.16895937049834,51.337019008641946,53.338114943582056,58.19157369183251,57.3736705978534,62.342018933271376,63.930469992531776,65.30270920711453,66.05908684671839,68.81722791997385,67.09749339131432,68.44400258265361,65.30532773415446,67.40214761214627,65.54604523527345,62.840651089984064,64.08955415626869,62.961043722360685,62.21634835235268,62.57061859238062,59.66973356554578,60.18952594783815,56.31303906776383,53.89712822932294,50.264965954513364,47.996945117381316,45.028152199480886,48.446697865058034,46.50861121303476,46.25131433600904,51.39701886874981,51.448766958756295,55.36651441900111,54.53489371598801,59.685506799516396,55.48133905573582,57.636275620482024,58.142876250439116,53.97383279973623,52.29112210392242,48.50610071153669,49.86656024801229,45.76878793399315,47.99568372627673,46.93274762752421,48.47459303075641,50.76032675565659,52.138495059447024,54.52736204414362,51.53940930174023,48.79807980285192,46.203194615801415,46.10718271616069,44.81590968183355,42.76288364370383,46.80937645707323,44.77218287390733,49.22508847680789,51.76255232393208,56.10914126644725,56.396995851224105,60.182521985780134,62.03921842017075,61.8357476281369,59.25684450081859,55.39644206210661,54.527615795790794,52.64104341553213,51.12514428826477,53.45492664600974,54.65098984640752,59.06220530750306,57.680307059203756,55.81628280624027,58.47111654019514,55.493962785133874,53.15895485610918,51.077047420709185,50.57644109346575,46.31627435468694,46.64121159885827,42.8885909227593,45.61063321897576,41.65330634463304,42.4681315188802,46.28700329613113,46.64222781987609,49.051857128991735,50.81606381813641,52.868171916951276,54.90781984329016,56.91935946085687,57.36882557395268,61.274318897770215,63.07961198026647,61.15532369624485,63.458277045928114,65.13175035412645,62.47516686064161,59.05573862516155,59.289503540499865,57.198676473015844,60.20768889826791,60.415863661736026,60.160714263483584,59.637022833710105,57.07826870358388,61.51153063998659,63.19365874137252,64.08267927284618,64.3042647198619,60.136358604132795,65.32204067906099,68.22051034137812,65.8632444574871,68.70706168959431,67.3407184748284,72.24354534232589,70.56298065549511,71.85234209229067,72.44608534454666,69.4544098163645,68.54519959670144,65.99667839093797,65.68482866250359,65.18702744523311,60.44371310872555,60.23349805558854,56.58631446957014,54.96532027688677,55.854850361098094,53.78920835335973,50.96315589169863,50.83052325290922,51.81449896186053,47.8017062964869,45.16503296676718,47.42409689930719,47.71292414415967,42.26225254100701,41.990803033615336,43.07375735487442,40.287483820697624,37.32193048679889,39.06219845509698,40.84278872921064,43.676745111786104,46.27173677249462,47.840867147440804,49.38870299016268,54.771775684888425,55.97214428914924,59.295860244419906,60.47351097077153,61.40921688610957,64.5752000076755,63.54274031975021,67.69609859052765,65.73951953091925,60.768885680364875,64.25571131900959,67.31190602053887,63.0682823894666,62.071803539553486,66.18034382852446,65.31165942600866,61.023702649133945,61.93580014138732,57.78257663260406,60.76735151908348,62.93702686398218,60.506485282735696,62.2824139149655,62.88342477943465,61.03361183907153,58.37394909580091,57.83835641644997,57.60206342360568,53.939648158432476,52.512023994420716,52.37592405946149,49.823754579373,47.778420446163466,50.52756371950323,48.980393116049676,44.2795463428905,46.02166771798087,49.21540924390952,49.87561867141573,53.883629994914294,55.02797564060582,58.564870600773446,55.28504139039713,51.63370741264543,56.49686005013757,56.69001341138616,53.25089789399738,54.340761590441325,59.41425431313079,56.64349528042387,52.84426198955685,57.00364344816363,60.07554519242083,56.95623520133706,53.69486748306614,49.17007554063215,51.36762990919149,47.00358616043827,45.972606684627216,42.47146755762853,43.65883084589612,39.74852820447802,39.51487106883861,42.762755829499376,45.65133338476267,47.86011076754205,49.63981523437599,47.99842776182404,51.44577473808682,48.47563657444379,45.3849984041547,47.66017563895608,48.88621637477075,48.85680588726748,43.808367279497176,43.86805707411888,46.13906085255702,43.6315418698573,39.78266821402971,42.909827177101825,42.988040765623275,41.94547664511751,42.42432890239464,41.98232499506542],[27.52319443123971,30.762507607904727,35.306079297335685,34.37840147697787,39.352265376931165,34.104525792775135,36.42532943307238,37.038762760974905,34.346802682735124,37.41404354990736,37.040880714915296,37.72428287104841,41.83835009293197,39.68565265331182,42.30826393846375,44.91723882794425,46.16705929316851,49.77301550041939,53.11924550444091,55.98463660723349,59.081952800706794,63.35517101653377,64.23216722998598,64.29730466401087,61.85375674071621,57.504372997000246,56.02363966248207,51.88867294960713,51.06976010607349,49.408163912350616,49.2072052392828,48.9704381827738,50.03936404540687,54.31216207007016,54.31960804196438,54.205314899581225,53.805386394767474,56.624941222126445,57.66689787449319,63.57580145165694,61.27807089850196,61.237240953813036,65.51340534573156,66.24153612261526,67.80361612768132,67.25909153650888,71.34397346080883,70.62449152827612,66.67778535810196,71.4906771723615,73.49446747893666,70.52168364209147,73.3232459607323,67.85073567186738,71.85732824551557,74.44591419674398,70.74341397821713,68.3660260094777,72.7209799936164,74.16708302841185,68.96955971345707,68.45801850817871,65.22278918780633,67.26626479584417,66.63127805929042,62.6984769791321,58.95991668972128,55.407765702674574,52.5376809830217,48.724230908661816,48.26055142792175,48.665905261910865,50.37217710174864,55.23210720635604,54.086136520204185,59.058043503590774,60.47042258545387,61.69881140040448,62.35688262563492,65.09752398420527,63.17374423028723,64.51269369173481,61.18256572649567,63.319645044184995,61.62615358101254,58.899491757658126,60.31056190725578,58.98952930272427,58.52632954585347,58.76636727978874,56.05431335816631,56.72604229361728,52.790031807036634,50.196050992232045,46.53781084055176,44.351619492041706,41.368039209756645,44.44964957811778,42.36514055777065,41.822405678533514,47.11535750853589,46.97988798805175,51.063999980828704,50.13467517086168,55.3693220475479,51.20558897800167,53.299886943947854,53.96331505921042,49.85039327897741,48.02505046293596,44.365722097111835,45.84628959213591,41.80597491265651,44.27675256029957,43.335777152537354,45.12655163225505,47.46521159059761,49.10308979482771,51.58990862488238,48.35894019504619,45.7656177771859,43.0042654496606,43.0787532750533,41.55444680335998,39.272284296631824,43.28979460203761,40.9368704526218,45.41385304832529,47.8599465044814,52.09373713703075,52.5859752415994,56.237323638601424,58.22292599988664,57.81597342679161,55.502962410629195,51.688434154055244,51.040124694910524,49.251898552478636,47.92357112552058,50.15992784055915,51.72997734377732,56.11099521258335,54.548961596767754,52.514126953556456,55.02454172088078,51.88718567610563,49.57929998824751,47.26507740334215,46.5887549624559,42.25430698868088,42.35181526150331,38.508223325143916,41.026764787585634,36.97629476138836,37.92284280686272,41.8049477276411,42.345919502837326,44.68884166294395,46.644644606700915,48.68385219775753,50.99948089585357,53.07304356336128,53.793826065255374,57.56442567892736,59.524387358179006,57.84638880934217,60.02910609956184,61.92200497496761,59.232745232165364,55.83084365951951,55.858371545706845,53.71438715000973,56.50226642982343,56.537544240855205,56.16979246654833,55.466605183946136,52.96470505495933,57.24874422734848,59.10402166626145,59.901869215609,60.34209667957767,56.04239340854382,61.30788474473213,64.29960570721353,62.05066040272595,64.9457825176088,63.647373585742336,68.6159540491223,67.20952569091207,68.34812722426312,68.98828317709133,65.84912368441134,64.96424990686465,62.37008464292569,61.98663565795804,61.50908019057358,56.83103604238682,56.48142591368163,52.87378023019358,51.020590193137004,51.9125820787484,49.6418019593857,46.90285199548287,46.98416590177973,47.818074723024566,43.68522373729746,41.3890783072677,43.62070109824228,43.61232664504413,38.23053587896024,38.193410561015234,39.20199245396881,36.1703739603165,33.45773311647858,35.45904871288867,37.38373892239578,40.14361715921061,43.14079915355792,44.386569993996304,45.865880922600596,51.31275919415312,52.64483507557803,55.8704173777398,56.74825744843161,57.610267373308915,60.669588119474305,59.49387327954127,63.75552323982792,61.98631367827318,56.95773630468215,60.357119103020686,63.62449116691852,59.493474510963175,58.38340842100103,62.48644517303211,61.90263111966239,57.651669159844154,58.381665562441405,54.11519116965133,56.813650822382115,58.946342616332245,56.41379688575173,58.02564116130189,58.52762823010751,56.60676357970097,54.0983682220192,53.52162725413305,53.11826788636667,49.49882838930284,48.207916356400005,47.9529267544217,45.32572161259039,43.43332902887608,46.25614224729002,44.60395818709275,39.89916591886102,41.87766955811985,45.12335856280665,45.88352736321655,49.82662879397817,50.89407536093318,54.55570898791856,51.43384727236045,47.753075129082106,52.61311238135847,53.02531200899875,49.65149357471293,50.69823285469069,55.87894727449025,53.35764878873202,49.523539108740735,53.615387533105526,56.852503855558716,53.95529358582155,50.67815640121681,46.13429717296939,48.6951329733316,44.42370224630286,43.189339677843996,39.51621996901303,40.305975825098926,36.21052035241364,36.41282023877592,39.59238366369542,42.70610687120389,44.72627702888047,46.20732981678953,44.39111580910473,47.66198909087826,44.68804491753488,41.344638376499915,43.397048384531956,44.5465176509167,44.36218838993845,39.39005409272438,39.47882319157804,41.587936624447856,38.99656778046421,35.27248196855153,38.375915679785216,38.31117185521673,37.23676340591899,37.73279040870032,37.312754297441835],[28.87666533694576,31.78627390874606,35.93078647323232,34.37593103776211,39.11093088712935,33.68263415194461,35.45666861129636,36.09713527356978,32.8137507060104,35.334710989482005,34.637151545782544,35.63355008097638,39.61863350644815,37.02406442361149,39.44927993291817,42.293977337131814,43.510173130624544,46.78891541125415,49.888314765000594,53.01431840826435,55.877940886506934,60.2919270179257,60.96978328462295,61.09555765980282,58.89295835519462,54.4744313286652,53.307628418936865,49.24466901007155,48.43145861241275,47.02235353049322,46.251808457810796,46.59012694476702,47.504624660538624,51.53038692942173,51.73685908789731,51.49485113310672,51.54621652686383,54.16725374158226,55.34653780956023,61.43420517448034,58.9422475920424,58.53816776843262,62.83761576239418,63.65162262639115,65.0708964039743,64.7050289996008,68.75377348487133,68.0789031021234,64.41819552963096,69.36528448188726,71.37189202836514,68.35324454841071,71.0297922245451,65.62091208765118,69.6488727333795,71.93096001783738,68.11478520770311,65.78321645062498,70.02648981113387,71.3255853847546,65.99789459849073,65.30608136587271,62.050669976117256,63.80856014306346,63.36110309264856,59.59861399284477,55.53312328902809,52.11032323427899,49.00117186795833,45.216909496248306,44.59146723396624,44.66699405002411,46.55992305854027,51.45096180192306,50.61949425102565,55.49218827997524,57.22991048545418,58.544897998757776,59.444563102582386,62.32578776271195,60.75049287190082,62.31749238639566,59.32466740207253,61.61176525264204,59.79202260712928,56.85876454679985,57.871986757489516,56.67332307505956,55.73774171678128,55.94088514188046,52.951731034726095,53.32563967096293,49.47025744052589,47.12297105143989,43.587430491449986,41.20400872931164,38.34370015793834,41.94972004609202,40.23344112311428,40.30127658229168,45.32028003477646,45.85894823337252,49.57095234206827,49.22495750854324,54.555424115958196,50.605635351381515,53.1364175064718,53.8386606620831,49.86146862831595,47.841622482024064,44.096857371428754,44.98626791304847,40.674682703343315,42.79836307676835,41.284272958737944,42.94744308555069,44.92341654706471,46.48871883257822,48.48100792386171,45.33836612591046,42.72742617045381,40.22059523982112,40.54892754994101,39.41227856390227,37.552769713724615,41.9352238685198,40.2743583885303,44.664977104990896,47.41691152119972,51.542253724733364,52.31553984048558,56.127951614050225,57.75728815248957,57.239612774740536,54.719933482420636,50.68874092069935,50.35151302043606,48.04404052964922,46.33679477850164,48.3419757287556,49.49900240586476,53.71782195041259,52.039167075059375,50.27111418049175,52.780093500324924,49.64279614424709,47.49003891167202,45.3853608475136,45.11776388261049,40.85551281354577,41.49727178042706,37.52929899569683,40.46679014980775,36.66225872159625,36.849799213151144,40.65293865300272,40.85503101999149,43.5988589066661,45.049395725793296,47.56793002187282,49.592642849756,51.214651817399286,51.92700218095142,55.69305365120763,57.86724360230824,56.16884304184948,58.73316503961515,60.59396759793272,58.200595813976726,54.59308399662167,54.7529678621755,52.35141052909077,55.11523549166135,55.15178772713955,54.66862029724402,54.13626684801215,51.28427017126435,55.77507904157531,57.50977938272791,58.60430593167503,58.98632496952129,55.07064407730903,60.41578702621087,63.36504894333317,60.91039251881849,63.40549128251481,61.75684519362789,66.80558016819533,65.24927033248606,66.75580042695587,67.61600541946758,64.57719718901228,64.01683970092702,61.64489245182803,61.53996726940107,61.39340472047018,56.71252734881857,56.704137556405655,53.3474346224837,51.4320121107197,52.84171753236175,50.526526526940366,47.515819980231896,47.989751773530045,49.18709790766767,44.87654939583664,42.480845808338024,45.21585241817884,45.42905105646651,39.780275414901396,40.02202861968105,41.44169504954203,38.208777872064104,35.40388335623672,37.923283147956475,39.55496622995489,42.846255565219394,45.381607191917325,46.512922237396864,48.34638910681629,53.78127191803795,55.5419720671368,58.51137482054188,59.1805271045544,59.701567366146485,62.62585641176829,61.08969090370375,65.34708056031421,63.78583055241945,58.454571639146565,61.62370215667185,64.99927131237392,60.86479592253432,59.44835646137429,63.376761092046785,62.983281036405685,58.68565601632163,58.88492319617337,54.94384543076497,57.41419750094916,59.81290527193125,57.60995965232481,59.083718157289,59.89321482364624,57.57572488577476,55.07161756258449,55.02325276733369,54.45716999728213,50.55228604358583,49.64862878579582,49.685717496997235,46.971858446103056,45.11474445150949,48.389804147835235,46.85713425878767,42.110208836004716,44.2834187435138,47.7579266565601,48.32656356869184,52.12885817242268,52.79233103155996,56.588262158784495,53.7930700544403,49.70569908391007,54.38523180716361,55.10028289631425,51.69880189556813,52.25448863700688,57.6838196862381,55.37013690780584,51.17493012270332,54.96742041833149,58.54233921817162,55.76795371839084,52.25992934470507,47.604534816067925,50.373790164982694,45.96508313876301,45.201954007302604,41.10387158971877,41.84001452483911,37.547852906258896,37.566413866532415,40.54833001413916,43.67449264792563,45.43295953388784,47.151955812811984,44.79609156939039,47.96486566822827,44.57279301984322,41.86722064040005,43.7611059759838,45.31056384960226,44.829150278214314,39.811119198507484,40.564819287987234,42.68773160261377,39.516263151609856,36.445561416906024,39.95991836513282,39.77936403363587,38.714102141098124,39.05044451781237,38.47711325404111],[33.31654714728605,36.33723095563015,40.60608043026516,39.144090852408446,43.94538902088616,38.51908848832608,40.30537367517144,40.84442754181582,37.546558663769744,40.02929746430192,39.175385150275574,40.07074907039439,44.18733643078147,41.56185158082988,43.77530071557825,46.67061084230136,48.016857115560704,51.148458349615744,54.202722714794376,57.40542898415063,60.18672624851606,64.64821449360976,65.26381446464478,65.44916263939602,63.34907429963641,58.911976361564506,57.852292539528044,53.81182421472521,52.92252769269036,51.498502391014455,50.41814592698498,50.871128643712844,51.55578297548038,55.51483039758423,55.94096815735891,55.80953075071307,55.966150752022905,58.67604289088051,59.95220847157428,66.0534775066489,63.589720964200566,63.04979062366468,67.329122102938,68.21883044951598,69.61180366894011,69.31806189397108,73.34767136155217,72.67057423052069,69.10483568090902,74.08770023104648,76.0693588804796,73.01923252938867,75.61710468129824,70.22673970725918,74.16990115165035,76.40100222833642,72.58864948824584,70.18577819099131,74.35601501404585,75.69538104404272,70.32130838784514,69.4610032818417,66.13545769698112,67.83038750651225,67.54907204000015,63.846428192264554,59.676198021207995,56.27270596125657,53.11923541799998,49.30363210786391,48.658289191219,48.496995823753,50.409292575538984,55.32702264381696,54.59020733717676,59.28063061673358,61.27174519835836,62.469270259979766,63.55984609512371,66.57402627080788,65.07043055241904,66.79364300842379,63.808973074520935,66.20434832148422,64.44990342665689,61.4202391040547,62.333243603128174,61.02432776053645,60.01243828544543,59.98881366994108,56.953279681486755,57.07433258427995,53.25857927454234,50.960860861889564,47.6245303552428,45.04995884979823,42.41618375763119,46.0511167806994,44.474001493449244,44.44101355973216,49.60348886735626,50.24625005706035,54.03657843511078,53.79096713604528,59.21553403826816,55.31791238732496,57.81672901763868,58.59155672174589,54.619605980794205,52.56016118365814,48.870441414416646,49.80025651227176,45.48839094539012,47.63019979801677,46.027511215812666,47.693976802990036,49.56156738999442,51.11733195501064,52.911783787605344,49.78201584521604,47.199957082694226,44.79319570444386,45.21713283911806,44.178223518472215,42.385540698027654,46.80094653945085,45.13156591426917,49.527489149633546,52.258437999788356,56.364544712071684,57.15799572787051,60.94000172792918,62.611842591967836,62.05933826246037,59.58754288252975,55.558310612816584,55.22339236200388,52.91193852803827,51.16894025716786,53.15143442590297,54.20806460460694,58.38898371686747,56.688183743744794,54.991661772565,57.478322042590904,54.3046015151568,52.215134394824744,50.099702696901474,49.862369208047454,45.581567467130775,46.17783534753906,42.10132065837525,44.85861300121245,40.90440761847903,41.061194839716045,44.98931272228143,45.33391880780195,48.157419189639185,49.626041388219434,52.27314715998045,54.37803687404369,55.91233732609918,56.70416423263533,60.43301013099163,62.68044842219,60.98949699757398,63.592269386203405,65.4343869944925,63.054148187271295,59.44242082823679,59.62314793703172,57.2097678430108,59.950686915322414,59.947090672485174,59.39541713300957,58.79774114799064,55.87235724748696,60.2976811107834,62.14588303776145,63.26337487970465,63.75378901301804,59.84296149582417,65.22381892828368,68.19616746262216,65.75025059600047,68.1988045788961,66.48810669652998,71.57052133466807,70.01376240770269,71.57747765790548,72.46489420409031,69.43275651775568,68.89018120837278,66.51893434951413,66.40222084686252,66.2283702103184,61.54531969725639,61.490432848803316,58.0860538543534,56.16866591588189,57.46003039955768,55.11572115244917,52.18994463174922,52.590584409772895,53.65739512310348,49.379683845008955,47.05155049754636,49.6183535792288,49.69464968514197,44.16763627675032,44.32141167516218,45.54449852474059,42.35776802337805,39.637517802301026,41.91630333000527,43.68972986246047,46.715924388544735,49.45033161298161,50.6844744515218,52.35031563717148,57.79531998198662,59.299017701060386,62.4311392641695,63.2110781944164,63.90242425858493,66.87743168813373,65.46863685682949,69.74976505372001,68.12353632507688,62.90591337180264,66.14889410900103,69.5000223416199,65.3614295684382,64.0447081610455,68.02377557844649,67.55638946011608,63.26389599418809,63.61489735918937,59.601154360842244,62.11463104291973,64.44399717226268,62.12245388881945,63.585460735844066,64.23911918272918,62.01279189765881,59.589959558446914,59.33995274523309,58.72698849519824,54.958738756261155,53.997792147015346,53.83062533763332,51.096813801295106,49.33832461225015,52.420772075028324,50.735316712539436,46.01786006373325,48.21895763134747,51.56350944172245,52.29676857390561,56.1611249793206,57.01200156311376,60.77950334238479,57.845645391187745,53.95669540802383,58.71921172189937,59.314989830975435,55.92263735359328,56.68165909277987,62.01519425272431,59.58496742502075,55.53396931424607,59.44693547418075,62.88067239056341,60.007191239989545,56.583281315721756,51.96332146929128,54.558675553733764,50.15618243168386,49.28040640408989,45.38279546758903,46.22863752162773,42.0168407184962,42.015768641786316,45.08216197824905,48.155813931194686,50.0349868547537,51.74951444869217,49.53387346386197,52.731036935569925,49.397903536859545,46.55755207982626,48.42149140475839,49.85486830200941,49.33316243201156,44.37980793780633,44.99111468143727,46.98936339623029,43.87028547382644,40.75592274731494,44.08392816577898,43.75388113042519,42.58760228918986,42.96135525005086,42.445947654335896],[31.944136273082513,35.23630251020975,39.74741102026471,38.94942262765341,43.73546370301699,38.2640330001577,40.43247476935923,40.71077124438173,37.92995120233869,40.96341631748206,40.26459055013964,40.69612448207572,45.115354951429765,43.01486815456517,45.23867580389393,47.8908000683,49.458759702124716,52.87927610235958,56.31558577653423,59.20260401449925,62.274281838655085,66.58619778458637,67.48104580861657,67.72769428695715,65.33586023239613,60.96927740659994,59.54656357790868,55.39622620241888,54.33644776196956,52.54398278260071,51.89204138582409,51.72096595773904,52.428909467512234,56.65206057680758,56.98479449382232,57.113014164467494,56.80804453493375,59.883689949645564,61.137118390344575,67.03234808009695,64.91581944292258,64.65104342361624,68.8681976149404,69.79650118782756,71.43397359845989,71.07206283490005,75.13548544421953,74.27498588379612,70.47289716164708,75.38954109353864,77.24214029687833,74.16171681234567,76.77636851990381,71.31593452741345,75.1087826853135,77.68205685979467,74.03551780745352,71.45910146142064,75.70148679535572,77.31396487703597,72.06133841913054,71.26775626275834,67.89278109825081,69.97784060525335,69.58588500818333,65.66714133002942,61.89039166239308,58.270176456045476,55.46545938214061,51.52189734948067,51.149158159431174,51.32050176374165,52.89958628403486,57.82638115485257,56.64787204471502,61.36570485948196,63.07657226705568,64.06407566976671,64.9728604398245,67.9220249443466,66.0340238968033,67.6402619252939,64.26618634230464,66.62187378660839,65.10151943279098,62.171937161002774,63.46139060943345,61.87994070322432,61.393767033474845,61.231637890204645,58.51867919287587,58.88395101840855,54.96891363151146,52.368144439206176,48.98461200260889,46.53788787079707,43.873673838960585,46.90289385587709,45.00137591509613,44.27882516448399,49.808820831047576,49.86628346974942,54.0820597856514,53.38049705526074,58.82865217655306,54.827655181181036,56.94673545000557,57.83339972784759,53.81419335429255,51.78429913199136,48.276912989561495,49.72934513519561,45.65554805082781,48.22248816584426,47.08042294597695,49.01600014492114,51.149177091085505,52.93897561608423,55.10240362444264,51.73293986760453,49.268632705242126,46.5877136702558,46.97994397497488,45.534109519516356,43.30470266387515,47.45644540708285,45.07738927197592,49.5437982879361,51.97714536306175,56.06725095447322,56.80688650398677,60.35748441197508,62.39757679611129,61.770330195144844,59.658652814248995,55.82378025483039,55.41667856574903,53.55128592892491,52.199350000359615,54.27896322054829,55.86047234084821,60.13445567419933,58.38558636611407,56.39565981091269,58.77825715863829,55.47400160810127,53.310297592604144,50.872094606849856,50.2261499446316,45.83403057632571,45.86235947144589,41.76811334121871,44.00005697239758,39.746945960166514,40.522472074767784,44.60351342996096,45.38468808450732,47.90485474082179,49.88239719747794,52.22474744311985,54.768391760933476,56.64379982615384,57.66374855658115,61.28981590543905,63.51567023879529,62.01162807228799,64.2628204527517,66.2722668041431,63.65402145256993,60.206785364078534,60.15649103276304,57.8925744381612,60.48877294414544,60.34763741386508,59.7749077510726,58.897056476844945,56.2403600683703,60.38086906703682,62.488765490551934,63.32954429889395,64.06191517389719,59.776383488136425,65.16576284073594,68.24321834789964,66.03095473118867,68.7969440745699,67.37192941788567,72.45887300739076,71.2025828820604,72.40712651355547,73.1704972746522,69.96507797980665,69.20049146246745,66.63241230488349,66.25439137886252,65.83919665060714,61.211218360426656,60.785446741618784,57.21460316309286,55.185818244671786,56.044699800970676,53.58547861678504,50.96799759340847,51.202424910307045,51.837168572318724,47.6438836065927,45.67113885129038,47.76678460330002,47.4100687397841,42.226377881806606,42.30713941692534,43.08015019787291,39.91989413124082,37.52296221259089,39.47292546046654,41.59806314120995,44.03504702475852,47.444473077353635,48.57651869298554,49.84522357766113,55.30743764388597,56.44635140672706,59.761003847475465,60.5368951055162,61.50648494277666,64.51685350895033,63.34114181532059,67.69625269241006,66.02121748104305,61.06437430024153,64.43610794563656,67.83120998256112,63.7878817879819,62.669431237425975,66.7839347188748,66.3414233172702,62.12594398596575,62.81137264949844,58.4598785387623,60.951033670767565,63.01811047872771,60.336137770764665,61.77329506809749,62.055323326819234,60.12171473680822,57.85084891646974,57.094250323430366,56.46155448877495,53.01373945253444,51.84922572439702,51.289828877081,48.57217726932226,46.95874698110523,49.65209440900655,47.74246522489481,43.10723954958326,45.334669465922545,48.45722233481439,49.475404614783855,53.39631349357578,54.57199940470196,58.29365928617417,55.18248962202427,51.69081937116993,56.59207415495563,57.05969024969466,53.75846115118673,54.93552920982816,60.08795253252079,57.636644703200446,53.91681390876358,58.0356130007671,61.254535248833356,58.41248600980113,55.20316891649697,50.69371860941891,53.288692387874626,49.08010903183398,47.68163553849495,44.09735082339371,44.752017166144896,40.62532742109775,41.042967932478156,44.21406587064865,47.3878263074975,49.36736656766231,50.69531542337654,48.81574878434949,51.96444505013377,48.9623123283108,45.44678142773264,47.24485707175128,48.28010647198676,47.84496932796905,43.03072921874638,43.12880603488254,44.927847590385596,42.19961442587535,38.728827526512575,41.633854171133834,41.205089548431815,39.966404716138335,40.468721784312415,40.11405040479148],[29.462520852947456,32.589462472891675,36.75102118985901,35.883740052457576,40.19628591321283,34.35887790453805,36.188026448352375,36.14343055496364,33.19547428459995,36.168897003401455,35.230851218477824,35.49612299362043,40.08806875493159,38.09312545655213,40.055010165253734,42.68867154228808,44.478574940575015,47.82273666256929,51.417618687366726,54.21288512148965,57.344314767583334,61.62469614058758,62.622774788274626,63.037156262585476,60.586972624594466,56.24613918871065,54.76649720635386,50.59068931386452,49.31734546425309,47.408260262425415,46.57608051328101,46.38396638777593,46.96444708602842,51.18029396599013,51.61088498693191,51.86296473227614,51.58283871027853,54.82107738687448,56.22447384637356,62.08582174899673,60.15306097571293,59.74420309679564,63.896270624511494,64.99243127686782,66.75703574641086,66.5679167781081,70.6139920018601,69.55912805893853,65.8640117424522,70.8746051455683,72.55039874631731,69.36747625783183,71.82612378272165,66.37640517463521,70.01172690307908,72.58797368117614,69.00085287362364,66.2841113641354,70.47119509946506,72.21227454909919,66.95682554646751,66.03587554351286,62.595969014956104,64.79229360697397,64.4841340064845,60.5226193477598,56.84881670719517,53.132199852058655,50.491539812577834,46.44504018443329,46.233130591329996,46.453899220941125,47.80983742516667,52.74660440904206,51.403539597896994,56.043749727470114,57.771471107962014,58.642545927346426,59.60221183399313,62.62374974081147,60.72902988136167,62.473733731983984,59.09944390605138,61.59444404809639,60.17982406392414,57.102562368716924,58.31782366284596,56.592922164814716,56.12647407629758,55.79755622668695,53.12727046561433,53.46285199345587,49.53599598534241,46.88743609061359,43.57434926746405,41.08183678857989,38.509481836112734,41.46368403892542,39.637985580812405,38.947833482607614,44.498027039530086,44.7752679008839,48.95017936548443,48.5123169844856,54.11136494208038,50.29950077094418,52.61527735613807,53.697017875699416,49.831838861948924,47.53151361353163,44.12568569477178,45.345467982648756,41.18922831405826,43.80420534287531,42.449885101826524,44.572926467055275,46.527846048990014,48.54672103968591,50.49813288528588,46.93306351862191,44.63799291509412,41.94906136931632,42.68453056401537,41.232528607291435,39.02495241643635,43.337637061814064,41.0432063389496,45.45954974131516,47.96845380267878,51.854977408293514,52.980526385520335,56.474733119026595,58.43017500596648,57.52204914610966,55.574585182767755,51.67459847482874,51.68615982695643,49.62511335720121,48.251852445541914,50.08389593832183,51.803663619108185,55.928982214003966,53.92640295366544,51.925356069145145,54.14134499854169,50.67223882883397,48.64474852930294,46.08513581509315,45.4977569552872,41.080827817780495,41.18334809874118,36.9034984524822,39.13665968442229,34.91070218704865,35.34934016994808,39.4729784020145,40.27566905779491,42.975811313698394,44.854739922075666,47.48450795291327,50.154036283815365,51.81060430543625,53.12319078814813,56.5871335626901,59.099477950261196,57.8514140857668,60.19767257060523,62.408150069986306,59.94077895508657,56.402223605576765,56.217040726585424,53.75284170265584,56.088955489502695,55.76189505086893,54.99472754876491,54.02216002277069,51.21132842615114,55.30410194107557,57.53310429921246,58.45588283528567,59.3935302838496,55.209583313421675,60.72164713424084,63.867304364044834,61.651104889637274,64.22159401906889,62.65851320923543,67.85617988288845,66.79761620900925,68.06148441196265,69.00329720898505,65.71206337664012,65.16882465994814,62.695109631770165,62.41054473668977,62.21485446210174,57.6655937688502,57.30056968709236,53.9328461809745,51.63219014353914,52.8008159899649,50.10641987478262,47.428986284258016,48.12482555621272,48.817315272797714,44.40860511098603,42.7482684682438,45.10287438705551,44.56898462732553,39.327006145080254,39.82193303322605,40.75777018543701,37.2369635732021,35.07766334487856,37.58769762662645,39.666101532301745,42.32985780760892,45.84151835187519,46.57966764204886,47.98706929218421,53.4825890984806,55.01197916611614,58.059385346370114,58.40579132705979,59.09135393550665,61.90381385678708,60.365694916510016,64.81701574489134,63.46110547319942,58.27982394019102,61.41280875839473,65.07717744980339,61.157943189984046,59.745428843404405,63.735238389791135,63.69515893500688,59.504887002692286,59.689453222323756,55.43085505071467,57.480742213080745,59.662222298612406,57.08018137993074,58.256937087070504,58.619695658782845,56.37257719308402,54.272239379921,53.79583449818033,52.88507225867914,49.319795192395034,48.5439051344247,48.033357054879566,45.18693236263755,43.77261697469832,46.81173786603975,44.86723119749105,40.22019590238652,42.81486945353413,46.117994962308714,47.1192273250867,50.87179367982782,51.71771940697523,55.63821890273333,52.897497133134635,49.14340753190281,53.91403244210398,54.78500989422137,51.54499862367702,52.37972448976325,57.769808072687766,55.69855990007452,51.744280541310886,55.60105026211481,59.172037082177816,56.63074068021136,53.282013117647665,48.711052980104334,51.767771377811314,47.58927333954984,46.27997795183997,42.303239254426686,42.52856337750657,38.129225726643206,38.876279968888554,41.83924471192988,45.22081046100508,46.847027846921904,48.007349746690466,45.640179162241594,48.52922421383377,45.28851014189052,41.899931025940866,43.34816701755077,44.53614354795916,43.73738547693234,39.01056031769665,39.54911217921509,41.1585921118988,37.979817551860144,35.08817934806767,38.203361878118905,37.5266977518856,36.25305983760907,36.64947288235874,36.22721257377175],[33.06489444273297,35.98865965605234,39.79569879994388,38.69958022099723,42.58226290040228,36.47011655511828,37.77777753434102,37.395057472983744,34.066207685538345,36.646412263575556,35.20320449096076,35.36310151977587,40.125026441673796,38.00478391862774,39.39889065782323,42.15609647827337,44.25072360846037,47.20099360475342,50.762319098215485,53.65888260037513,56.6420032343262,60.98922557318429,61.92751018788397,62.57900223742143,60.29339452491785,55.942603848261335,54.667035419942536,50.543865299272895,49.01356638932266,47.111694457155,45.53070316020488,45.708554034667614,45.84384723656195,49.84193646157207,50.69171181035817,51.118005960595454,51.17521060178656,54.54553064066139,56.23588531710108,62.13001545835019,60.31281359706461,59.48314915845575,63.54911729277561,64.90535298946419,66.68859585365522,66.7990864846543,70.78401489127418,69.57824083126401,66.20408440648137,71.37286237422053,72.86769262844615,69.55380445616417,71.73469077423925,66.35852261067762,69.76057359489226,72.14823248202825,68.58383779136842,65.69329759012382,69.68960544169889,71.52425494082219,66.17825538457302,64.88709573115797,61.31329402590142,63.417039917924676,63.444769527089505,59.59316203301122,55.77360927609532,52.06036528094405,49.429504019291905,45.287033926690086,45.13150024082846,44.99547104918772,46.237785533534954,51.21122122292145,49.95883993306088,54.26181905211557,56.42085080674927,57.08814087583959,58.40605144144875,61.687217493603406,60.02079306471049,62.14784666325037,58.94414538681439,61.72809832240855,60.42766612544287,57.04570133197573,57.91136940350811,56.00217497383695,55.26740299369354,54.52308962133904,51.73061936734894,51.62322301717691,47.78071258518079,45.267922144135504,42.32174115776936,39.49700613489816,37.34482515422717,40.48392631608332,39.07459964780245,38.60308130291681,44.133250382816065,45.0224534818094,49.03595544488429,49.19405222818887,55.01234187382787,51.53446193004701,54.14719495982069,55.46773792407918,51.821695280668386,49.20577351573047,45.93269103713118,46.733851201701285,42.431485301021326,44.919991682551455,43.05595469099945,45.26254411194869,46.78367961169966,48.94170387762048,50.283017371488235,46.6179348779247,44.50794796872032,42.04871497821521,43.27801087477033,42.10323869832223,40.191967046522876,44.785304514566185,42.881925403058915,47.18071137272715,49.83863157549596,53.46562006768406,55.02986931553142,58.49426973885202,60.262059898040974,59.05068436804045,57.2091948688218,53.190195604218715,53.669931364989964,51.24238951031631,49.66355942672599,51.16076082739548,52.707950475049316,56.58260001612279,54.30305865090572,52.490068192345646,54.528908556816965,50.902049623182066,49.13689112603307,46.57711621497069,46.2587378139684,41.88119600320411,42.246475570346206,37.70702020063014,39.91651213109138,35.742427775385394,35.489857974368086,39.68425478029744,40.486840899846285,43.57647891837352,45.139370596619536,48.33664169601346,51.040402124401936,52.212911451528086,53.841727190400846,57.109666600101576,60.019818106701095,58.985506184391916,61.59658526435679,63.929930919344706,61.73053496222565,58.04662420384878,57.830126332669714,55.097070852625265,57.173826929640846,56.65377302013408,55.60737187827729,54.567449967594065,51.41493043716362,55.45770192320975,57.844587162836355,58.98496315824296,60.178975662081676,56.27562039944597,61.92679897790173,65.11686476132004,62.83070108964687,65.01033914381098,63.125791084532665,68.46254814604144,67.51515508247917,69.03566619715772,70.24047072954,66.93911278234525,66.73332633828846,64.43905431854243,64.33513691866041,64.42523569324834,59.960776446016894,59.74211088536144,56.60996952702527,54.08931893967604,55.58838869239767,52.690167655985,49.9580150338673,51.08848882369057,51.84616395363664,47.27661487349393,45.88065318163865,48.453826202995636,47.76225095594069,42.54045758483425,43.35438756627285,44.38471265692205,40.61780817731497,38.683742349554,41.53761158207753,43.56954266643152,46.338074063727134,49.88588318449494,50.394314171032256,51.877530322134135,57.365244270010166,59.08802614832001,61.9839113003028,62.03731525406716,62.53415004172831,65.17645246464278,63.34922326250367,67.87325497572267,66.78947976115619,61.45160224480266,64.36407490416158,68.23846819171666,64.4248985049627,62.76821797247683,66.62099900649245,66.89447644756797,62.72774305288096,62.45971255139124,58.35993087065753,60.00663083820791,62.30676954173616,59.8377110625176,60.73598514068599,61.1294008361613,58.57955778327623,56.71379843618065,56.47763507370318,55.24329554770703,51.63672999384103,51.27404757578212,50.72803514948655,47.76081032149624,46.62519597959098,49.886892729609244,47.83989390678562,43.257700268497494,46.19051002820427,49.55728778822908,50.61548463743532,54.212775454846685,54.82200995467337,58.89002904419229,56.44237682140378,52.54903822742694,57.192171674334915,58.36467192665692,55.18728895725639,55.75937023497366,61.30233839160412,59.49487304088151,55.38167344519542,59.0177964368927,62.83437799634321,60.48093085833637,57.03206863065429,52.42749538826787,55.71915856263699,51.5310802442131,50.377107574644945,46.164437320418415,46.17157562452042,41.61736828206712,42.48291746724904,45.27277589483474,48.73389775112707,50.10280328528966,51.2284775537203,48.42895011777618,51.08290876520332,47.567607802709134,44.458201227920696,45.52685971757066,46.87897115876389,45.644686723695465,41.08671193466568,42.104893612668526,43.43431455327255,39.74916757409574,37.59615925900951,40.81013487846369,39.76257241000901,38.38221547896207,38.661516579815846,38.17826744739863],[33.17793284500513,35.81947541533116,39.24380720197479,37.81852834465295,41.36173137357093,35.158283851110255,36.02380706831985,35.56387469102853,31.89497451913091,34.075604705461345,32.36653634670507,32.65334716617374,37.33068803681657,35.0141013287314,36.16454479661139,39.03060675127982,41.16430804773433,43.869786484695894,47.32322694254411,50.31726237964265,53.17434428260082,57.56889330769227,58.4287557956438,59.166210907230905,57.00149175106948,52.64600605611878,51.532564912259396,47.47159005649967,45.88334263306543,44.10800803966529,42.139395022854714,42.66197275147413,42.67132378341127,46.49346382081118,47.479909189727614,47.85919985643672,48.19297531783364,51.46918750295639,53.272152652224214,59.22552970623102,57.361067807002584,56.288818062166925,60.32851062276088,61.77533292407837,63.511134641654586,63.773675049175694,67.71203557139263,66.47642001407407,63.308465725142206,68.5538834175414,69.99432718484188,66.63976779516777,68.69963360701497,63.38340687510253,66.74422247678905,68.95283612297074,65.35145927320208,62.46042029108994,66.36976298184605,68.14833499051564,62.74607333635435,61.32484963051985,57.733603118647906,59.70399413248033,59.856774848961585,56.100741163124766,52.14767342714539,48.49121706070881,45.79661255128801,41.65598621731244,41.472966133422844,41.16719774120689,42.41711103737688,47.391477824793505,46.266080811278044,50.47375674746129,52.81593490166005,53.504806959533326,54.96697004951126,58.3346174556495,56.876433995478884,59.15770509965054,56.17272797353199,59.060042281765746,57.717244784533975,54.196765555944246,54.804932764217824,52.94306418604544,51.936878138634896,51.136134276696716,48.19954678583484,47.91406665668316,44.12748887608662,41.76126989179161,38.924153405843064,35.97953989224854,33.954728130249705,37.37634079068823,36.23899939366976,36.190991829557376,41.477805815588184,42.84210044209691,46.566837621624856,47.14662486942313,53.00354844055281,49.72978887405451,52.630779985663864,54.00212714588666,50.50789746760458,47.74247297174667,44.481653380638356,44.860242294917526,40.43317289142079,42.70211825711608,40.46404283577902,42.63743240048275,43.87106411635169,46.050713954744886,47.0251992029494,43.36722910220404,41.33548526627611,39.0481064765505,40.54077789310397,39.59543876272606,37.95850330423107,42.73689133606433,41.27660154475085,45.450365187473935,48.27242726037453,51.74551189465542,53.55588351124793,57.06910271574838,58.59473749543174,57.258059643760475,55.35433893906336,51.23110196924093,52.00284011709815,49.25613544126772,47.48288552433961,48.753830028031025,50.110227770396726,53.809797799706594,51.39744108561627,49.7428292954419,51.70770047768381,48.055977780422715,46.44079576541224,43.988714389599046,43.93213498965858,39.646101935188526,40.35811362780621,35.765204140952875,38.21899402026584,34.297234647088175,33.46087404757369,37.54140479147991,38.11360794735336,41.46276549559359,42.66665147903013,46.19738728135532,48.73397255793235,49.56970298846023,51.269217059889755,54.459903821829165,57.55484524634137,56.59620522617424,59.42530513935134,61.78511912462291,59.80759550885056,56.01544955278518,55.831100405228206,52.9195548005103,54.88721300839241,54.31974805136049,53.16195020729968,52.2092467114168,48.83171696191173,52.96212627531058,55.28424941191739,56.61507986116483,57.81478071483722,54.193076751365275,59.87977587282039,63.04039432181259,60.64881068303971,62.53318621518338,60.422759686072176,65.80508527443419,64.83881110504902,66.57043326848955,67.94099514362998,64.69306511587082,64.73104990046497,62.602324204325306,62.680696352613225,63.01321318904219,58.60268074895897,58.59624728064221,55.684211649737556,53.08690727731525,54.94949807679162,52.00572561703017,49.12384641423106,50.57592807596378,51.55819112079112,46.89001342892958,45.51602313265913,48.40952857083556,47.8357583666026,42.5025432984085,43.55047942197753,44.85177411518224,40.95600906330724,39.0290510638423,42.25274130434239,44.07352070348552,47.173820633781105,50.42596090155049,50.78055333438186,52.49297728101707,57.93645508584062,59.99874302459518,62.6590244056051,62.50323905597241,62.72583775857131,65.23134920914057,63.12075242355609,67.62950130414633,66.74269366287137,61.20602048742644,63.9096476848749,67.88128275913901,64.11506772423256,62.22257282195362,65.9201700269657,66.39557057998204,62.23429865858432,61.542087753028824,57.684768060435566,59.08426329752575,61.553328067149394,59.32803198393941,60.08840119718278,60.700368278361104,57.858976609558766,56.03338866071953,56.192634873988546,54.828966460123084,51.04273634402651,50.99471680172758,50.66800819734379,47.662327003091924,46.57899870123577,50.159991890060134,48.22780751663959,43.66789588136893,46.72666076078888,50.24168072736062,51.14656174436126,54.59425257186293,54.878375368242786,59.031642306520105,56.8749197467784,52.70632980007948,57.17137501966837,58.598362428203956,55.44023894147772,55.640419800641695,61.3402052334036,59.75023159513114,55.405855099674774,58.779666993450356,62.84455039331193,60.64889508596986,57.06321081080205,52.422848517816114,55.91397898841619,51.69979869920603,50.831165800552725,46.34099425839122,46.21500720338121,41.553984651400384,42.387951936396725,44.97627927189765,48.453772582641015,49.571956289229135,50.770739131016164,47.58169183474442,50.07749469127846,46.307008716341535,43.638492700113716,44.52277461738027,46.137965615682674,44.66887745965113,40.16376898415284,41.66828987461928,42.967989613318544,38.89089443984289,37.29337172497251,40.76258504425378,39.64407537865528,38.31104320092896,38.476825954905294,37.87734005820059],[34.004854194709395,36.84755148560569,40.36214419992004,39.57712922127245,42.89101932063093,36.505167195067074,37.56184931079317,36.59388148513342,33.39804757109044,36.05437090744336,34.296710026551345,33.909876712434844,39.04146232271725,37.34371296567045,38.19631720888004,40.78754021421924,43.35003296967754,46.182386698093524,50.052842686152204,52.697789718740076,55.8064723775924,60.0314414166206,61.185676929400536,62.112820964187264,59.70593183161748,55.45374461736693,54.02119937771953,49.881515330276265,47.958955896840656,45.73467214009236,43.90453006464136,43.820962740550655,43.588648446746376,47.60642034614377,48.719372703811715,49.5345520811441,49.469924880194554,53.27037524250739,55.19574673460666,60.89008244311368,59.5181336362618,58.55485970492617,62.45349516634971,64.08386944053387,66.11193849163016,66.44825922028599,70.38474455768406,68.8576835544382,65.59058719908883,70.8260393078766,72.01335243504892,68.5592245454996,70.48118441948823,65.13567550946625,68.16470937556507,70.68187851501779,67.30854174843405,64.11353394484823,67.98859666639962,70.14989547189037,64.86654911495413,63.32382457985742,59.61111324646864,61.99796192874744,62.20626923377782,58.268803134655656,54.7409221726771,50.849289622803674,48.60723020015202,44.303889700065966,44.48271361358024,44.393564890935515,45.16895430498438,50.11785663049403,48.50968369026865,52.51971775531023,54.74228848824514,55.03875733248313,56.4751664549026,59.89729462858499,58.092152429488706,60.44355271554169,57.07421355055375,60.077148431056834,59.09788802013223,55.5380102301011,56.41600581821743,54.107203224026854,53.620054483559784,52.39745996545292,49.8265698062945,49.59335419558461,45.76242749814234,43.09805271733967,40.44809653515683,37.50972624403227,35.72164024038962,38.39174686149061,37.073979886068564,36.200341452554376,41.969816494673196,42.926222384961356,47.1069355796931,47.45400908745015,53.46846596501201,50.26779898940229,52.86643272228905,54.51919396861479,51.09733900256237,48.18202492566373,45.228341938025544,46.01913806288471,41.82040828340922,44.53492876603226,42.60743652399927,45.13041539386182,46.46092880671679,48.96564299668892,50.069185499525155,46.11078112779096,44.32441485804053,41.844074105307804,43.513023057828036,42.23139602311692,40.230652628923245,44.81240595555525,42.703626129705235,46.89583479172682,49.433914752174374,52.73966054673286,54.72607718706367,57.941994626395754,59.80283287368414,58.208615197388625,56.80072747601294,52.855613031558704,53.78086447268451,51.37514908366472,49.95773230685979,51.17787498406305,53.046014885730074,56.72160196871114,54.12984905709984,52.23432859803425,53.9773571305823,50.10371163623464,48.544031575015275,45.708350241255985,45.288692373554554,40.90029037842518,41.03171119992396,36.27019970065928,37.99720021753584,33.68973396009953,33.266630122955966,37.600872428535624,38.76595192614878,41.93825544209751,43.61617374535523,47.076533739104796,50.17695458160231,51.1645934721371,53.30562342013697,56.256380082629484,59.52670135730516,58.901337728402765,61.44948841226634,64.06082831558963,61.947750371730926,58.2780503688349,57.8115462594265,54.94452572203406,56.59931949840506,55.7613326552238,54.423857092549994,53.08172858669539,49.85451706045365,53.577921267238224,56.32085808613419,57.426973725757406,59.0750757894485,55.156069051576864,60.92393111494512,64.23472641484841,62.09019140294426,64.1390676280061,62.203034703892584,67.65252946758561,67.10387734179399,68.54374897491016,69.90534273331065,66.45061903387437,66.40775976079853,64.1466441265023,64.0142747936179,64.21818475799712,59.92021871135156,59.55709371595587,56.58125982386646,53.72930588467143,55.264804187286586,52.060133491833355,49.52047393376892,51.026093635642034,51.53186959231276,46.86606836266307,46.07344623370415,48.53923765796766,47.351877270765314,42.440414750627134,43.597468465343766,44.43040714930541,40.40339555174477,39.00328511026801,42.06266238270187,44.255732022938176,46.746939353721196,50.787953094706396,50.8902950661111,52.1922443806442,57.64856573048918,59.41193486967475,62.186995424705636,61.84202660997787,62.27279430855859,64.71406125883178,62.70214004396288,67.34372148879372,66.56410759423412,61.24164079510784,63.96568368580728,68.11092679668711,64.52021718500423,62.720506746817016,66.4964882603489,67.17793987753068,63.119633565652435,62.56776881687472,58.404782389410016,59.54716839265275,61.77016840174986,59.178653351935644,59.73764344757108,59.9158022972431,57.23858082743139,55.74527806513496,55.435989026711596,53.836984234021294,50.41773024271002,50.38294444432741,49.54847408875079,46.47612027379833,45.75673021032457,49.01524882183649,46.73594002260221,42.3152001708116,45.64170553914353,48.936066020612515,50.21973706461243,53.63448190187832,54.1553813267266,58.34956006567831,56.169098269474254,52.381054605707504,56.932863587292815,58.393848060717495,55.38036966690429,55.91156172720637,61.48959300271365,60.02904627947907,55.97350051010703,59.45892504506662,63.41358251053506,61.35798929568106,57.96017050738458,53.42720819670004,57.03821272383151,53.03311204427964,51.67387124004524,47.40257695340132,46.947313331338336,42.29665655521611,43.66279310029526,46.28057290228196,49.90819457185903,51.00992353925728,51.75295265058227,48.72231748613685,51.03370485252366,47.50681515336553,44.19114781913318,44.766519185326885,45.987120519325806,44.348135618500315,40.12527271338629,41.28868860272752,42.1553116963592,38.240454357924705,36.66570508092113,39.67984262168456,38.16774111756239,36.67011489325545,36.91729169032646,36.487429298520766],[30.00213695584492,32.98395790531229,36.74853697077456,36.104945101642365,39.74689813487626,33.51617984583327,34.97879560527595,34.30244365631539,31.35626411975932,34.356131647464615,33.02616578221882,32.7795730163472,37.77684524098748,36.13835485017559,37.533847819470004,40.05294011203144,42.32750065343675,45.527723045228086,49.4269667867283,52.01136595738978,55.2547558367083,59.44400644124906,60.64108523435635,61.35055122193731,58.799016123216056,54.53354876949331,52.928687942017696,48.725061804512514,47.04074352502032,44.82925551672231,43.670790528573356,43.29287242693269,43.505667457572926,47.735068678216805,48.44118350008346,49.05857057975089,48.71700608415451,52.37348179313154,54.0433692353796,59.74980215680724,58.2387517994129,57.636954598862374,61.635769777011156,63.028814766525024,65.03178590628652,65.10664481841343,69.1050033779421,67.72003470261889,64.17098458369574,69.28469061987659,70.64620213211779,67.30030373668826,69.48191176049023,64.05900778500597,67.3329873268478,70.00018004380438,66.58069301501237,63.55861864934178,67.6203417168124,69.67195075418452,64.4478885562004,63.2519813802528,59.663720106858676,62.1138056081288,62.00355825758348,57.963952043530945,54.530182572743556,50.633270666172365,48.344023216555776,44.11510161532822,44.222877426650705,44.46000591993576,45.372589994571705,50.313879317144185,48.643532410017684,53.01154292367347,54.838690310888005,55.36448562409035,56.46694007498449,59.652206466328224,57.660715673402734,59.666174037276456,56.16394020735123,58.90920450343869,57.79397105157221,54.49248590012022,55.666321052085124,53.55643812999935,53.26927227562042,52.47212880751094,49.97165996457647,50.16201858762351,46.23476015506745,43.452810813662964,40.411882561545085,37.774954790698665,35.539929956095136,38.126339593144216,36.418623249010516,35.42453401872787,41.20731223224441,41.65559990743029,45.96268505149096,45.808378810319844,51.65379765026446,48.144481983775485,50.54028601350402,51.98299869369053,48.36104940622792,45.69299433451115,42.58679614619675,43.691505358569685,39.56564226302056,42.38188099898888,40.851823888240716,43.30893445174399,45.01205534880482,47.40273910499062,49.03667595052201,45.154760832482964,43.18502783190766,40.49253981029535,41.750519952709965,40.23500823851026,37.98505049240659,42.38209944411998,39.97642391042743,44.28917553950131,46.74227829541245,50.2843630426777,51.921550376393,55.195002917982066,57.18901645427779,55.85027647563746,54.316329122005236,50.43722983631474,50.99203261296572,48.84878822725837,47.57728683129208,49.073676341400194,51.08115002091905,54.97883171826053,52.61454342525942,50.558612351444125,52.47090671697654,48.726181914171036,46.927234540538564,44.0960102828924,43.467024699642955,39.016764869786314,38.97154320147606,34.39820745152092,36.24073226287159,31.879840567677192,32.02511476993102,36.31605952431617,37.430185510897545,40.30274308822963,42.2298598733114,45.22617221620012,48.27425102559891,49.67155435527526,51.52549200728227,54.671156512593654,57.60813543374931,56.788912028196215,59.14297424718155,61.656315469194304,59.32974449816168,55.75689737273925,55.321950349667866,52.65547041347456,54.54616948505044,53.88310648498342,52.79072182580749,51.53334658261608,48.5759988546,52.40216061987115,54.97825572686274,55.91978820101231,57.315407272337595,53.16511733716478,58.8362326256558,62.110506336221725,59.99876224357126,62.37117801632803,60.69044658677819,66.03570721121302,65.36720308753948,66.61177500480244,67.76193060147456,64.3135667752084,64.00244895753478,61.59847014911769,61.33553689892736,61.32636583453625,56.940848029943915,56.48831900662803,53.328185081288275,50.64392500296756,51.96696586416254,48.91994679601557,46.37624310134024,47.56936224367073,48.07107619667822,43.49118911561007,42.46310519223435,44.82572316506392,43.79692522986992,38.795531804574246,39.74189785244871,40.56205978539111,36.67757600516262,35.07601181655216,37.9632394452877,40.16689660407417,42.66182358620211,46.63484624274198,46.89098637824724,48.18905998650639,53.669947281170934,55.35993084786897,58.21836333360845,58.07922273927352,58.614446904495615,61.19021050645018,59.36575224561794,63.957309246454585,62.969775456951155,57.71774622738974,60.60867931746717,64.60129936187656,60.90920937900919,59.268314949088605,63.15053057560549,63.59463103675025,59.502007508547045,59.26131782349102,54.987678329204854,56.45138508969,58.615702286178184,55.96525569084865,56.75788879296427,56.96419550016614,54.48888635809134,52.767669778618135,52.32907832387716,50.99800826182709,47.543489004178255,47.19398420156075,46.44510286809105,43.450189125542686,42.47115354011605,45.63567132933452,43.46469266201867,38.94076820367581,42.02482388328704,45.33077888867928,46.530275403699406,50.07199997693636,50.72989287459095,54.83494709209394,52.44836148182872,48.69305347369683,53.34405136968163,54.603355660192555,51.523472666143576,52.202647658890236,57.70802423711821,56.06146701730538,52.07388800471584,55.709370689333305,59.52191084138869,57.33338626656593,53.978906489705764,49.44834280974096,52.93102446052791,48.91280311244069,47.47406687678722,43.31489999350017,42.99811450203023,38.418647192231944,39.705818455846824,42.442538533250165,46.03417144504757,47.30452482825814,48.08975672862337,45.3361255965999,47.8401746114637,44.48639061666433,40.97678155816098,41.86799413212754,43.008318772648494,41.717492580309965,37.29422704486139,38.13548212455742,39.27233731603134,35.700934765356465,33.53325285937861,36.55715135652388,35.371274905429246,33.953334808745566,34.280399145768406,33.8768409957232],[27.75327637220236,30.472130643838216,33.990223498643,32.86864567404569,36.47487846841685,30.26673639079499,31.48210175614997,31.070298740275973,27.759758388307414,30.45560862561601,29.141064328126955,29.305718147458304,34.03002270856057,32.04845483570724,33.64313670429011,36.30978859992763,38.33077686344235,41.497547835674546,45.204087796957566,47.94900887680306,51.08695155734863,55.354290689128355,56.420029715337265,57.028328690020295,54.57090579640487,50.256353024063216,48.79018821712679,44.61915702641755,43.114331637461824,41.154049353560424,39.9867558936301,39.93260242279911,40.3577791505973,44.49721728759776,45.06073253993573,45.394030207749466,45.26658477559024,48.604573577055724,50.199517420424904,56.05942741915264,54.272564573779476,53.6194808228111,57.69845308510008,58.98877088253802,60.849653915800644,60.8921465985904,64.89440150672567,63.64535753145109,60.14870059222667,65.27897212943152,66.76683676699098,63.4716722522165,65.73266702803024,60.32156029624754,63.79883609181737,66.29392897309613,62.742417888117274,59.902277060007755,64.00412132076626,65.83188548072035,60.54892408591314,59.46469792937866,55.96347729941813,58.20971944478134,58.017989227640626,54.054350162746495,50.42790557250381,46.64105536952706,44.13638211528677,39.99315827649727,39.9345545334973,40.16015008831216,41.28953141333101,46.23434180240067,44.77540850543616,49.32229095006207,51.12154068528428,51.91050116420045,52.964394766549,56.08317158334424,54.278107299464786,56.21341604239818,52.95160425554123,55.62138649942,54.275113595259,50.99344606411248,52.01761741961022,50.19339862638266,49.61574384062803,49.13126711066944,46.431001295033354,46.688462651899805,42.76614174794443,40.1297057209391,36.9003421941313,34.326330982223126,31.86664127579757,34.89056669507246,33.25641067780021,32.84558883922783,38.275639018848196,39.01954516005478,42.98975928269635,43.028649075506294,48.78185061769586,45.260997125721126,47.92665962818194,49.210576544695485,45.58942454678052,42.9568234379264,39.66107532947974,40.40566354167142,36.10588724404688,38.64154553468471,36.885263087376686,39.177223703354386,40.81463187261119,43.07031945121658,44.65027641961855,40.89501327049879,38.80878605387704,36.19020191362832,37.39695830858818,36.04913500767273,34.00823913353013,38.563186138782555,36.60954747944561,40.88774307580852,43.55375231985715,47.15138121391373,48.7731789566647,52.23372586807043,53.96572705635312,52.73232204426576,50.90324904011937,46.89269773325046,47.463268538468505,45.04879347559529,43.559603439488484,45.02742421146733,46.78806505498097,50.67354564077042,48.36639619540244,46.43023405724362,48.44606575237429,44.80859670937683,42.986572051712876,40.36565608423711,39.974638015680206,35.58704357486721,35.96338947831527,31.47916291862736,33.87940402868581,29.852560272134596,29.60341141268023,33.69663905314072,34.372981679959636,37.39279723078688,38.97376926994701,42.05648280917714,44.74577325754212,46.019029734186816,47.642762572829994,50.91226664306444,53.78629311534399,52.818332170078,55.3603036153779,57.767988317226205,55.56502741437966,51.896721430838106,51.60016829532599,48.857694372698866,50.88645495054186,50.36205405306943,49.35743436090326,48.3492132388737,45.27582352958625,49.38049407034992,51.67690956830352,52.778259174185536,53.89983329367121,49.96802889137798,55.60641314723848,58.7921195308989,56.51573255041987,58.74793463055481,56.943651628276356,62.26174169950309,61.37729354107715,62.8012457675245,63.990815866413634,60.65477608229951,60.44531409776411,58.15292054669954,58.056864132727355,58.20049450536323,53.770806075075555,53.586492895533596,50.54728027997363,47.96411680604698,49.63346102000689,46.71460315675528,43.89959660485267,45.21269589797741,46.098157483300426,41.462549327558676,40.112965636615776,42.88814228531931,42.28252608426111,36.963969014121396,37.98296998742882,39.23632739136408,35.35412124064969,33.44393314083046,36.66551604373296,38.52881355546528,41.574534590731474,44.934232213064455,45.22085727987217,46.88674154208339,52.332093077477786,54.40104904967774,57.04817817419751,56.892955220093256,57.15086715563446,59.69162846953472,57.66538510281403,62.17229712860046,61.22091871119344,55.73982943569416,58.51965957526354,62.46462127483543,58.69781265880669,56.887162686295554,60.65726614475548,61.09299835798273,56.94641691252991,56.427793780097154,52.41922372245412,53.91699583101406,56.29654158964319,53.96797863878582,54.82641823194358,55.40513272987717,52.70133241361437,50.7795654667198,50.81214639105866,49.58171448317588,45.80525558391178,45.584307663976,45.27346742179163,42.3083115086099,41.11006951530653,44.64793802335561,42.77416678462913,38.177225823905765,41.14777990720516,44.67763628075467,45.545204814533896,49.020563992343504,49.356011528184304,53.480554980767856,51.268898348577466,47.13105073589783,51.63711236880657,53.0175748138013,49.866678848054846,50.15523390319874,55.81812531070526,54.22928972448756,49.95250890089868,53.38743632055763,57.399589161346405,55.23538072606052,51.70484378934876,47.09583585419853,50.657104708066676,46.5296343485264,45.489206259126476,41.03910492982231,40.79178358118225,36.13241288319802,37.15194149918865,39.760631500762386,43.305404491771284,44.442120860587316,45.483048091878736,42.446727906625945,44.98123004997654,41.38229408454635,38.40572051876689,39.403106345157155,40.89679623446852,39.626435137501744,35.030230923044975,36.29761376113303,37.709749171384274,33.8744474777909,31.920003357008913,35.37710991542854,34.44153083580394,33.18376200415153,33.410355297051154,32.85126011902934],[27.227332379237684,29.680336393600655,32.618803157606614,31.92348496657003,34.60530996787894,28.057791862865688,28.879747898307283,27.649410580722847,24.562197704293016,27.434854568868897,25.776790400346343,25.171921725525902,30.39076802035676,29.076826871429475,30.063302065080723,32.45162266747946,35.039228458234476,38.175548020803056,42.342331009077014,44.68240527221814,48.05438969677052,52.12115326120825,53.51257828375508,54.4265821790774,51.7396467170086,47.57648449295013,45.81782481074796,41.610202810736986,39.628090365036115,37.21757371766535,35.982163067962006,35.44069567071623,35.5727348488706,39.84533353648833,40.568345756009954,41.341442672477385,40.944173389420726,44.81238334809321,46.64442625176194,52.23643679962067,51.01393766219314,50.29846065801818,54.17816908290175,55.761534136509766,57.9559102549593,58.23033340810259,62.17568458901862,60.52598122873609,57.09313415923387,62.27557278636275,63.39091328295959,59.94253734642555,61.93611930349159,56.54132027393332,59.615502596137915,62.32497558032204,59.00904724183721,55.83069030048522,59.84726347060761,62.06221462009539,56.88973021479026,55.617244943900964,51.988168476036336,54.652527075003235,54.558810284039424,50.43194052382763,47.27163007618016,43.23203657299177,41.28664048491126,36.95684557431543,37.37175787987629,37.85334339123435,38.33746607853271,43.21760589688625,41.20846908371648,45.5318961897163,47.20286153820564,47.60581924967238,48.65383058029802,51.85514033954476,49.79563858519145,51.900131790491386,48.38790781575058,51.26555877427533,50.29006654691279,46.84515276206012,47.98067134711327,45.70426934173989,45.53086609344383,44.60280800709937,42.22945079111174,42.54591388770265,38.58636848610372,35.676602864293905,32.64551238172283,30.07573359588759,27.897361203153437,30.221019284643535,28.543740972573737,27.60423084116062,33.349184757366785,34.077503478284484,38.27393064533111,38.47360915269913,44.45559739804506,41.24908234352513,43.91915730354713,45.602083689073154,42.27438101442612,39.258221166137666,36.36706670043343,37.080470969753385,32.934340240383975,35.79230784929625,34.03291462704385,36.77075525440633,38.22298139911652,40.954821019157,42.36232903730684,38.21150381955409,36.56040161463237,33.84489019818089,35.58786522492376,34.0182794755999,31.802878946765535,36.27508008855567,34.025828488161885,38.13214965984771,40.63270380253273,43.802580585391084,45.97417569843056,49.112329909677406,50.946114076360836,49.232644470932286,47.95461761568963,44.05575387964265,45.22108284832333,42.864749959139694,41.64066597559931,42.74104652196814,45.004838865447475,48.63207522356918,45.94217123292395,43.84336685545838,45.473134524857436,41.52942418272872,39.937311738293126,36.929652015036694,36.35668125790218,31.94654185315225,32.003462451424475,27.237097391101962,29.09803309956201,24.938251043349773,24.46422847788589,28.73780432094693,29.842524029618748,32.937147941152986,34.70167656292794,38.0562250612666,41.25533764242685,42.35884418617195,44.6217901221921,47.49215819956451,50.783942000976516,50.35122788529717,52.767385673798515,55.54170689574053,53.44425067427797,49.82121677743606,49.17640906451345,46.27893147916271,47.75495378732859,46.83317742135554,45.48970706832856,44.11443489523443,40.99256886800258,44.736854398759874,47.43606208598272,48.46974407847995,50.11532724504937,46.13829388345673,51.91478099661013,55.24633304322402,53.15396732262915,55.26171478695168,53.44356222946889,58.88599660625219,58.5145908240604,59.78542459840925,61.14960651721845,57.61380076651557,57.59171885819841,55.340074011897414,55.207618478375096,55.50865975742162,51.30968411184567,50.961434155052494,48.16608911481851,45.15101740820594,46.936782582783934,43.63572143194057,41.032011997080865,42.896568947191646,43.522355429314366,38.754150216993075,38.20314586664964,40.91425722318467,39.73373640058993,34.79643905751136,36.3399392157739,37.43773692425508,33.2086734534731,32.01606307275162,35.62160178763804,37.58538273028553,40.375905138699274,44.21983003099359,43.91314677726366,45.42748884428383,50.7799222702128,53.03992776025377,55.42077167155841,54.697682520081436,54.76709940709437,57.01573579777897,54.68033431321206,59.31343355116178,58.78550871039612,53.27330590091062,55.75929257395897,60.05276076200792,56.5828475578873,54.53787594223296,58.167001173282785,59.16306308546964,55.17476571470401,54.205133810890835,50.17340869881294,50.980167998042454,53.29748088121603,50.88892435692872,51.31439967817306,51.71669166836962,48.7872602988836,47.29501731071533,47.36705728433449,45.69296545688226,42.062226848300156,42.32098409366507,41.771403693870305,38.679806441020325,37.97340580072378,41.6359509821014,39.570739092296066,35.18156910729891,38.648040053973084,42.15048733605654,43.19580773238236,46.37517044543124,46.46983687673443,50.76237763361371,48.990635835783934,44.88615356171838,49.1970164247568,51.015558802128545,48.0907248245065,48.200483149908564,53.93092215847436,52.86256217645362,48.613046392633926,51.755991266364816,55.99912102477738,54.282886372184336,50.80403799243979,46.31934190958119,50.354381880261485,46.505794080222806,45.27635173904203,40.7105038403971,39.78323264866623,35.015693618852836,36.72249655426276,39.001523848983105,42.7464357608826,43.44145425235025,43.957704203500086,40.55032372750163,42.58168400328872,38.954986754825356,35.78217556735945,36.10332808015858,37.49453662272072,35.68640842347261,31.5092936900136,33.094067163054774,33.94820106699661,29.723284338069288,28.659182457533905,31.969929165416726,30.4998082174874,29.1463151659199,29.277693100584493,28.742296648058883],[26.598630479864582,28.650186226022562,31.15157321832193,29.92451417432546,32.35466049886247,25.834682629730914,26.17492011926598,25.109697627202618,21.506373624326695,23.880926370548504,22.04906379799124,21.859790218425704,26.836023499058754,25.131194103894853,26.14469942136156,28.73124885880456,31.154561864499637,34.16033049927166,38.15299588038774,40.67077612175052,43.91757960590965,48.08012649958643,49.34056873037389,50.22079262947265,47.651186331109336,43.43537975984584,41.852915055957006,37.68361923804986,35.80172469982298,33.64689843613715,32.206230713496716,32.10531293345189,32.362853981405415,36.49183110144282,37.1585245975372,37.67347861471251,37.586981052067564,41.16151932912036,42.99616302739667,48.75392061531133,47.28671467641716,46.41250195714935,50.35418999008125,51.902988139578284,53.971987047873945,54.29296375403135,58.22796104133712,56.66620752443881,53.36302492921265,58.60092647738173,59.79415428609807,56.3580844067927,58.36490373493523,52.99787229607452,56.22135627379669,58.71742542494212,55.272321250263886,52.23168983278803,56.25053561197537,58.26599282365583,53.009163158435825,51.76556451884751,48.188878935966244,50.64059984295929,50.53407050350456,46.49491323500448,43.112550852539535,39.16558849125568,37.01799363062248,32.72837973670353,33.01586799148754,33.4361977931901,34.07814457845688,38.98601233889363,37.18037248376479,41.63406366718557,43.36130265712279,43.993705315202156,45.067155993805954,48.260925689242264,46.444814729825005,48.569365881805425,45.35263240488082,48.221989858346845,47.035718280625375,43.532096823852164,44.42419010960652,42.3996674773274,41.85704349996345,41.16113184707287,38.54590422459504,38.8476329800471,34.89664202442298,32.16002537495457,28.99163347738128,26.406105786636626,24.063829670156256,26.9353627205785,25.458235155343672,25.28712839398329,30.58342893278151,31.825316463781654,35.577213312547855,36.15928027394087,42.073656472115815,38.96529276779042,41.990730062555365,43.5613308748105,40.321895979573036,37.27686759164437,34.25213038179811,34.44156431411745,30.092389058356638,32.60002353293608,30.444784914929603,33.0506668894352,34.298955279566435,36.95761398224614,38.143374354003974,34.064271238832845,32.36595208471623,29.777861199733238,31.650616655741104,30.325400428131413,28.425543108373653,33.123284757087376,31.48527029138112,35.47733992781057,38.224449987160256,41.35016255889457,43.624011893338775,46.925011741111774,48.42990395700353,46.745467711363744,45.20284394819889,41.15183454710433,42.47734003914942,39.75214207523183,38.261975114471035,39.21666676097963,41.20314018952233,44.73418661660902,42.01036181510737,40.07664887979615,41.7497935937741,37.86443183345902,36.328888467830275,33.53586689018099,33.299092215640755,28.988081487747856,29.598627323972433,24.893969122141122,27.374560522214495,23.70413873149042,22.529044567159495,26.533323976688482,27.116441334604495,30.485226000550583,31.75670453566265,35.36704795352574,38.18437487634057,39.01271505440304,41.13481411022364,44.06869293962211,47.40749187200608,46.89842446333209,49.5672780264059,52.27336869033716,50.37956219214237,46.63275782223452,46.11079755208987,43.06473823399425,44.59302923051962,43.75726418785907,42.427593778738334,41.29955735053606,37.963807563910976,41.98992935193681,44.42750821285715,45.68645403104139,47.1116687467249,43.45010100382441,49.21357018895075,52.45796885401581,50.18476555923428,52.041681796104925,50.01487187714669,55.46423509831936,54.91459317294797,56.42590926618383,57.89932889353818,54.47230504059575,54.64571223976131,52.56058793050945,52.64470806368554,53.17605309775554,48.976816180408484,48.941765121673335,46.35540556746938,43.40372158495063,45.61821523369338,42.42618962279025,39.5551040647991,41.64415106832987,42.668783612605445,37.863695188535814,37.067561818041646,40.21321301307279,39.43666110711037,34.267775772068305,35.93855140118334,37.46817070213028,33.26929954711819,31.851373876147676,35.784786530234165,37.371387983106494,40.67246917305674,43.87904132027154,43.550855667017814,45.42031690542719,50.67790704355309,53.3240109630393,55.44651684483678,54.65544977875207,54.411244375956166,56.57011472536207,53.985391512318934,58.51863920468007,58.09269490340046,52.35710431327633,54.65993217277418,58.9290358108156,55.43439942196391,53.17321181110418,56.63442973436324,57.69623952055319,53.686479825383806,52.327148877735794,48.62995723847034,49.354841477166175,51.9066852512392,49.87027975197976,50.29142231937596,51.07886237862804,47.86719949241627,46.23789674518831,46.85144231081093,45.22280023971238,41.286714771557364,41.77863969584684,41.6777942026217,38.63474150666123,37.77889561289292,41.814969459176226,40.05760740387595,35.68841176614993,39.04750783867389,42.72781249923707,43.44441377642144,46.4857372847351,46.205501988994655,50.50671880861041,48.98925718940589,44.52186875032316,48.61135315299069,50.602732490928226,47.65192621395396,47.31123555042838,53.18365038053293,52.243577760737026,47.71314408698254,50.57384635161654,55.039784388709826,53.408741143325116,49.76519132819386,45.242455056489455,49.37500200249865,45.46439605157221,44.6656935682146,39.82230741685191,38.91257013027783,34.104631613565125,35.55920584802752,37.62120844367273,41.29599383750562,41.77274371450136,42.51901110844998,38.739789562496604,40.70484795073685,36.77999626469683,34.28449045350772,34.59801666052978,36.39267078062878,34.51055709838807,30.260859542928106,32.413988416471625,33.470127094208344,28.900817084701025,28.304211083826978,32.02044138762061,30.76263382115862,29.590267658574653,29.59402816414769,28.886212233149156],[25.59466752184066,27.395634090876392,29.390207719917687,28.72254411487107,30.323349405491868,23.655777848800035,23.785639595047215,21.938328418686005,18.848845034054232,21.617755242521717,19.691639524215034,18.59022057688411,24.036447053409322,23.228285776920682,23.82694480072885,25.979677582827637,28.868732134570017,32.02208697191602,36.49535574120811,38.502395492173825,42.05072909925437,45.94227814166693,47.56501817282554,48.643209583598725,45.77130544902547,41.747338381826566,39.76302650844708,35.55801172966919,33.29600571679956,30.641153578083937,29.545033733535334,28.67294303601576,28.844289614982387,33.2296298516881,33.84554911764617,34.75767565306998,34.189672146904066,38.27602318555299,40.2178556777276,45.65465419348641,44.7362076381376,44.006083667031945,47.763912758993875,49.48938096330496,51.88818232584052,52.30509071236621,56.19634697266994,54.29940965121734,50.91939723508684,56.122964104995745,57.01584309983888,53.48611529559125,55.34315293944899,49.9673623940832,52.87918909822531,55.681915472953946,52.47756414475537,49.17482795862965,53.185328381257506,55.5548315149148,50.47173269145897,49.214801369776254,45.58543711900884,48.50784183707746,48.343344827295226,44.099476211174405,41.305949172163714,37.12014892759915,35.594498084947936,31.213509107137018,31.981969397841436,32.849363286246984,32.84984463622925,37.59813037928186,35.17635567145639,39.52025483427392,40.876427672735474,41.192926864091525,42.07337811290924,45.215130930046385,43.01372473357161,45.128780658714305,41.555839950395146,44.508846385151706,43.664957218046546,40.138287568786644,41.32749452201353,38.90683083078401,38.947951355246815,37.984240114805026,35.80738824616107,36.405525920129044,32.404604339848284,29.30873402667127,26.188521108128487,23.840150231935397,21.61622923420926,23.48845689509177,21.708548170648633,20.7684519744724,26.470142149935366,27.375993221871905,31.477514501679405,31.944604712636956,38.01571849943448,35.08982547095248,37.98675691807112,39.87761358019454,36.85944617034666,33.54526442159035,30.910700387407097,31.257304701534082,27.176764630545605,30.094986068291888,28.219293386886502,31.252301602885456,32.50732483980489,35.58099725051436,36.876866521983985,32.47161053286263,31.177628000787188,28.404115623083694,30.575350686303217,28.886515908828933,26.668123810207373,31.072653273637794,28.93463433550321,32.76160557284146,35.247017343902634,38.01777568630207,40.673970140255065,43.64174786817408,45.333891031615984,43.283354849912115,42.27878345265604,38.41756054301022,40.150901653087445,37.67672633298393,36.57932495674086,37.297486907742304,39.88376520405475,43.237178941579,40.268344755162715,38.08220734077314,39.41680009374177,35.298187446133596,33.89176243765085,30.680972530507937,30.099403377856337,25.758947826789107,25.865722103065323,20.96074226546364,22.83368494016333,18.987972632212426,17.84707017714416,22.05220107310483,23.143771376648097,26.407135353197706,28.05471668327022,31.68658064925082,35.05176121914998,35.93212998002745,38.588169183805725,41.176488932748335,44.75615938438079,44.713835356614815,47.11513029605713,50.13607584415237,48.23397014530569,44.61776541033994,43.748315871635064,40.679491656984716,41.73595937976516,40.5672576349513,39.00741232222677,37.510818125518014,34.2916433437738,37.948752554413396,40.74926865969215,41.82938636265372,43.694655929079666,39.85177527885656,45.696916948265354,49.0732823461632,47.0278924136327,48.93610778037727,47.05197802072558,52.558505784934056,52.487342766254514,53.71539678581984,55.24492292183282,51.618306331939415,51.833315304307405,49.712901175160084,49.676918569205554,50.24107712794555,46.25331455947075,45.984994419507366,43.55820098358747,40.26273998923128,42.45405813269728,38.96280850695886,36.34403681861451,38.82011594602626,39.55038961177823,34.70195357012628,34.63249669489038,37.602669413058464,36.318206220103065,31.577909759699722,33.64679117212432,34.97739581501906,30.577090465065304,29.820601679346773,33.95336295940125,35.62423525744111,38.60512927867898,42.22674456620855,41.40516771890332,43.08564023015935,48.214370075412134,50.95715586516354,52.86328203773373,51.63697385963581,51.2770178483398,53.203965225453246,50.42973034229339,55.04843397461579,54.93526259854506,49.25005180071718,51.33841473124825,55.8588660308639,52.62878120340202,50.239918744765745,53.606882004558734,55.094125036802474,51.24813338642877,49.63122303011387,45.85682258207465,46.040388833034804,48.47414408658876,46.317539285469664,46.409548393011804,47.012446923094565,43.689067319559825,42.40465054453523,42.97314471348957,41.02541405006793,37.253601104443966,38.08313686262832,37.76865394907492,34.66064928929734,34.20358770448599,38.27193275484339,36.38863924945077,32.24863923763515,35.94320420264961,39.546664486854965,40.39920056231765,43.17813582643976,42.73721010549134,47.13069653416738,45.95169667467058,41.59104002681583,45.50666428526346,47.810184219569095,45.07644202714321,44.65790729999476,50.50842500350274,49.98363172555707,45.569286283705466,48.21037596147839,52.78252332830784,51.52655338696388,47.99643681237295,43.64392152902833,48.111525686726864,44.506329888198586,43.47223344004219,38.66092603084367,37.17571763613594,32.38452803562047,34.45793610046225,36.23180655924527,40.031225304802106,40.16958652334207,40.39318604582198,36.440951445512006,37.96708183836581,34.154732038529794,31.35356657354454,31.097084700203418,32.714933758988565,30.438735785819592,26.593322027825696,28.903659572533414,29.47564938348028,24.687399913711378,24.81109278389917,28.319629520958227,26.672701463947366,25.47083765653504,25.39884957257569,24.73271816744384],[26.72178477009405,28.029274250816766,29.40847679508288,28.24508367872018,29.314560060198406,22.78494644665553,22.158477099704157,20.28538260525532,16.628994723332166,18.61239104823031,16.222322971543807,15.368698528306691,20.66364998162521,19.55582144336052,19.818082056973854,22.163584599654946,25.093235811642746,27.980109470233476,32.360665237974466,34.49161610438925,37.91990849773846,41.88724479349491,43.42241622290103,44.57601705017126,41.82372941966413,37.77884085567796,35.975574938752196,31.829049143763932,29.508459441608455,27.045491441965037,25.49260140053385,25.118184231331956,25.25177550440576,29.45810721506959,30.147876062775275,30.90695494423245,30.72178058790903,34.619026751615564,36.68042321430823,42.24580759470658,41.1984395201994,40.187399849008095,43.952266738293666,45.75405273923914,48.082762045179564,48.65411174163584,52.50538609090972,50.59972656479208,47.44323178008431,52.73785318524678,53.60776271657811,50.043150686394235,51.804875568146535,46.48186622644849,49.42558612763115,51.996854150211874,48.70336261123609,45.44592290457991,49.40286469588045,51.65165251723478,46.47573574633752,45.13144134369957,41.498996058970626,44.26206836686171,44.172467299342195,40.01056454071684,37.04110601753447,32.89538309330909,31.285326121780347,26.878624370843287,27.64940901701658,28.44497850091396,28.4146984941507,33.18680074698745,30.869065324521205,35.246047153214946,36.73050220920105,37.17581811002492,38.16454876210678,41.37878446752548,39.44736088356998,41.70727665498268,38.45836358869184,41.502781704959226,40.52680562230931,36.83873667929883,37.69254605265035,35.41668717745286,35.06139737777336,34.16562998571821,31.75112566105366,32.25179672849485,28.255807172340145,25.310659929102876,22.148748360450497,19.689123383286706,17.439076417557697,19.852307764481736,18.44195570204681,18.45396679740472,23.60032216063545,25.29776423364226,28.834963501226444,29.933884967031574,35.96577060486154,33.317614775668616,36.638041671076934,38.502021526087084,35.71366163804904,32.2893518877605,29.66125997641168,29.3138820599765,25.074887150412593,27.576603496931664,25.13946997875062,28.114002637209502,28.972163098588247,32.08664816555082,32.948872065418236,28.520472817784643,27.341479589641786,24.771571169010794,27.325644551752347,25.951557824461112,24.170539390236808,28.784642935736258,27.401896225788764,30.96294741598576,33.677410773143905,36.23041823625471,39.15006271033465,42.19735925195652,43.50500734139719,41.36018828868067,40.197857155202364,36.20514768116085,38.29422882532615,35.38891557144042,34.0232738272469,34.4267179138701,36.74966363137324,39.87129596039849,36.742679336044,34.759059175165106,36.01155968535002,31.871731855646427,30.65504462726085,27.62601127140807,27.47056601895048,23.316607855603625,24.07875191218878,19.240333372107397,21.683290068829756,18.584817644580692,16.30744609785387,20.110443910831055,20.62840530044635,24.312275596597406,25.297837576550915,29.405984772241485,32.4150749726659,32.82281294279139,35.51689562342378,38.03527843920329,41.82078601720927,41.839532193446885,44.529811819919544,47.54484549513084,45.939022362168544,42.20079776473736,41.403675939284895,38.118272235468545,39.06324718627493,37.87781411902667,36.21104158811547,34.91158124470262,31.370242411191793,35.24622532525643,37.85922792859199,39.22374979385139,40.99437878002288,37.57804434211907,43.422983552501265,46.7214176062121,44.51016653476356,46.03285768936575,43.85533810791695,49.407846259864044,49.26114257016363,50.768440074725426,52.48959631480042,48.958325457144575,49.477944319580516,47.58788440229083,47.80964526783239,48.689404546136366,44.78811423037827,44.84732383053101,42.74047225713035,39.45297097487605,42.12682689746459,38.71052567224161,35.88400329440415,38.69737221064493,39.789375723305255,34.955370333672604,34.78986361254371,38.1493878776989,37.18958495572697,32.387190694398825,34.62666787742944,36.32514444223496,31.997512130677578,31.15485935738528,35.549716382110255,36.84514302739183,40.2199599157371,43.25092958291277,42.33978006236154,44.317907172916,49.28128602857883,52.38731630860162,53.99605203092668,52.62208726516294,51.923430217840846,53.68665236620155,50.61730781962716,55.12088796201801,55.200969644536094,49.32882821385309,51.14303981021613,55.675878873410895,52.50313748413983,49.857342412644456,52.98300103335923,54.6456507138218,50.83799904954264,48.715466069213484,45.34282176455957,45.2767961653337,47.93358935738324,46.18318748492457,46.16147655416308,47.121681234596245,43.471581007980106,42.17082214737108,43.32062937652326,41.33074579776416,37.3293116634926,38.51757461474131,38.61231609139239,35.5798907793985,35.09692745151286,39.485403242411294,37.89039726623377,33.898445503121486,37.506686697863586,41.208247071082404,41.77146168152263,44.32416913067868,43.471723246229836,47.85426402866912,47.021829942217785,42.36715935970207,45.971807438639836,48.504428132823584,45.814620697113746,44.91276943825044,50.85816304813893,50.55365632076983,45.90754621078599,48.17841663969135,52.979236519430735,51.88792767836769,48.23263126717716,43.908827721735484,48.487334404117306,44.895028996769554,44.27843176680604,39.24733216764516,37.71201490760528,32.95628783938661,34.826352922249946,36.29476675608257,39.98889319949714,39.82224135747388,40.201071005401445,35.82348543644718,37.13841049043121,33.025560727776885,31.0237982535134,30.58435030780059,32.60464180555372,30.137261689591256,26.4273982014731,29.399879980940938,30.029505346834878,24.880585987688956,25.770872911629795,29.545023200946424,28.027339108997285,27.019145918795857,26.789220632339077,25.9581465640533],[26.12489809988767,27.379387178009136,28.57318099523549,27.923261917888958,28.57205781669417,21.999573815863666,21.43288616474529,19.005782103437753,15.974270547074068,18.44110511789961,16.177370794685935,14.499814295121844,20.149067795308703,19.849746168290604,19.906188389202896,21.81525663975851,25.044291154251045,28.103389315759706,32.815625301778475,34.52958200495414,38.18901297381851,41.92365248677077,43.7291557662527,44.98017311945058,41.99446801456275,38.11001692132043,35.97763618467044,31.81503717997375,29.262907845035553,26.388148313424587,25.272132259157853,24.146357932621004,24.244901845404538,28.692922345095525,29.299222805023692,30.386456232126267,29.72159901295884,34.0296987250431,36.11559149064238,41.39883763847602,40.77253851841184,39.961600161532644,43.585137784041834,45.47231521533192,48.03734702193372,48.61572600059999,52.439747016249314,50.3215163059146,47.045932916699094,52.272498429781194,52.950007577771856,49.342366505438015,51.03551684093791,45.697363836586334,48.418006734399015,51.27067080787124,48.174815974197735,44.734780240218775,48.701182113191045,51.22117698208038,46.20772941087673,44.89856340685538,41.248389431998724,44.37801221657573,44.2124498850569,39.89688514008235,37.412346369019296,33.116150741397135,31.98366772046138,27.576853195475845,28.674602796611968,29.804568700936194,29.34629503964571,33.94434541931389,31.177432618292258,35.449913533836316,36.60456753001376,36.79587761577076,37.59532295539277,40.730365762955515,38.442311700577775,40.63537530495587,37.03911362279797,40.10546493447469,39.4083087090397,35.76643147217894,36.93903667607669,34.34756072406147,34.5420239147032,33.45423311589584,31.44545718181562,32.20936345075087,28.202513330705713,24.962254887977675,21.86056219857174,19.676080164330017,17.549887288153982,18.936152256662524,17.155311298889803,16.252811753833598,21.89181230304452,23.102541627929277,27.06357209799474,27.896136676411828,34.04660641130703,31.456373478359414,34.566384720474744,36.654779765130954,33.96804604778495,30.395988081670364,28.060356920085187,28.015649800657407,24.050954753577802,26.94687665899637,24.909116810570275,28.172911840638502,29.155014074575288,32.51193189889918,33.59131078098249,28.992453883308563,28.072683787435945,25.341213612787453,27.936898109514278,26.228033357369636,24.115124282050825,28.398094949893245,26.4624381528474,29.946890577411914,32.395906975115054,34.748781118352106,37.84746481107628,40.63345694440638,42.173376926297635,39.81050499884551,39.06772330792258,35.261130893238814,37.51535660006403,34.92655239868784,33.92125362712161,34.25722479322771,37.05465766339947,40.11068968876074,36.88925065945431,34.67923556645347,35.715805604034905,31.444266416053214,30.266577772080634,26.9017583862025,26.365535050518417,22.165636876162697,22.360558639796047,17.37577366484301,19.18495397656454,15.793737142153544,13.765162843923086,17.84530497078515,18.9271971471803,22.405918540593387,23.86306290223304,27.83705751974429,31.334638003064658,31.92190184029413,34.96791995918782,37.256305557013555,41.12956837182254,41.446916402874464,43.85450379477496,47.07081186452431,45.37476188147368,41.777511757239964,40.728926916709675,37.50961299720936,38.15921408700981,36.75155139907498,34.96046165456105,33.343978692125056,29.990627255234216,33.53264509447263,36.45389480934272,37.60448126111022,39.70542027956945,36.04357435291384,41.932518905846784,45.338179339861135,43.33632946889255,45.00824245028035,43.0259426109759,48.58873530348327,48.7870666102105,50.01297201747468,51.70738736350945,48.0222524968387,48.476132294424296,46.498828235795436,46.56400693838171,47.37283147488983,43.59936229324707,43.409718477556616,41.329494138743605,37.8231802630293,40.34189123767721,36.71913346091103,34.13208690305932,37.103500967099876,37.90004358203389,33.06309248815061,33.410361510818724,36.528483909892536,35.16000394888081,30.698019668158597,33.13490170425753,34.5988219037298,30.167209199354723,29.784414903686976,34.19101799363012,35.61974259290382,38.66578222251777,42.08591914937319,40.892044305279775,42.66135757138777,47.55839674393188,50.618822234049006,52.160286437248324,50.553557042236086,49.868691347692504,51.51842037297841,48.410452423493176,52.98738980590891,53.22007462877647,47.447180164157835,49.188254044180475,53.86947575644995,50.86202878062015,48.210873435507814,51.32950785799858,53.216957669459546,49.5182179562083,47.37522566649537,43.853899473986345,43.49599691477418,46.006352570837606,44.07376842484161,43.862394621513545,44.60669316907191,40.9711063767823,39.91074125199841,40.88181811825777,38.69433803384795,34.871729923539746,36.19887218024573,36.05340208042574,32.975309647411095,32.770858536619116,37.0797614544187,35.347275850164706,31.504437066694184,35.32203455666566,38.92526031891527,39.64015444322263,42.06268374519542,41.20901739046025,45.63742233521101,44.94126786143974,40.45229848250622,44.00423915874192,46.67001691923226,44.12144742779504,43.299028300508915,49.179960286149296,49.08415980488897,44.596096894580214,46.81437667407447,51.60222807271637,50.70896526741822,47.1762148261543,42.97687938369192,47.70956737547931,44.32721948907795,43.45299385302321,38.53744769420908,36.66250617163887,31.951402622358778,34.25225193004589,35.60765749362939,39.38149759325432,39.083663431335026,39.077295420008554,34.7307820775876,35.799350583453375,31.873445711728337,29.46520446803655,28.6744998390853,30.45986783334986,27.772434018056124,24.346065903230414,27.253999734533902,27.527184390271447,22.33587983827608,23.58355467943047,27.110446825646946,25.315751354740435,24.26960657590281,24.014372914211204,23.256972798883215],[29.573351936476755,30.819678095977412,31.85017811881172,31.46239974910011,31.69240742785412,25.212858666040646,24.4185104552303,21.495510751488016,18.82536169232197,21.017958379084718,18.411638712779368,16.088139469260405,21.852679815339712,22.02355459192485,21.184135390714765,22.827714250216978,26.58559936217262,29.232974830555946,34.09825785266464,35.557185272071294,39.20177301731565,42.77523007141888,44.72948847789486,46.28797539517738,43.30885661563771,39.59252065954968,37.44228503249798,33.404648931377146,30.437185094515776,27.29086517683998,25.59885240141447,24.305924628261668,23.69992783408086,28.033887441519315,29.138310633383096,30.754920545854333,30.080814829656898,34.83963408511988,37.22563856966529,42.20504249259282,42.0711027709046,41.00851995652479,44.37696238980645,46.58173153647448,49.333772176624024,50.192328256695895,53.89857060422061,51.48701184219161,48.45380089905221,53.706763423782895,54.04647787442763,50.31846734494887,51.65819468662252,46.43781721511411,48.67806299635004,51.5763560378824,48.70619947303104,44.941242092478326,48.68007899991577,51.536345000257015,46.604018373264,44.92393720570206,41.11607661201553,44.46834322835299,44.61157196150211,40.310280256113735,38.105053996144875,33.71596913615814,33.014900584367204,28.537087208532103,29.958961493263768,30.935196617782992,29.9814645143206,34.457256442283565,31.407184061842575,35.1487090622002,36.52561673899052,36.21507217340283,37.277344020613526,40.631939921521145,38.29036532412588,40.84039793973317,37.154998190701015,40.5148444128755,40.21444116470041,36.3525161976935,37.40239048111067,34.32710464791175,34.71464413724939,32.91582214482599,31.15620396705427,31.5851253670159,27.672560182700362,24.327317742033483,21.866803156985466,19.436271932094964,18.149545928938696,18.817997592113564,17.44721305765814,15.97356306818869,21.82765628997732,23.321785598538337,27.36266283764767,28.59661909208292,34.885671103587875,32.758506952264874,35.811852552343204,38.25173322964214,35.89688096884212,32.079505585315026,30.204814955078277,30.094961724605884,26.411774143280148,29.358966542731487,27.225128636695615,30.645249653438036,31.27158167223041,34.84350781982471,35.47121787348707,30.730723123630124,30.215364495427124,27.68562192061515,30.686379553889534,29.066541883904634,27.077184660922153,31.18853854595615,29.222650673871776,32.4354177854668,34.695211371027604,36.61285382398215,40.097161459986765,42.57338473997565,44.149069817956835,41.41531097333975,41.134093022353355,37.48254540535127,40.13766782287023,37.58775974706181,36.701591055201746,36.72486065115254,39.63763903279385,42.38788221203047,38.914199180252666,36.75696600181033,37.43900362851007,33.00491802307428,32.16029590319505,28.645894086247022,28.09613984936511,24.11311985463042,24.0676058010909,19.05262777129673,19.99396533120197,16.62169001287047,14.176570693722075,18.28017928208751,19.88142136756957,23.42309876321815,24.879306256645435,29.187755989528895,33.02126654777277,33.25648078449069,36.824021629967866,38.68469935532242,42.917810249381326,43.64118682063009,46.002171246750734,49.408436287303914,47.86603111978878,44.3336956867618,43.09924252844566,39.79626643257446,39.98321102662479,38.24904361394611,36.122280766973944,34.18281099374785,30.727083375428172,33.784096381390285,37.119753182363496,38.26964359001486,40.890850345422656,37.35716929939686,43.27183247177783,46.74645725930372,44.9064514918498,46.33107751901399,44.248640482955885,49.868904730428355,50.452646437217005,51.65179236503977,53.51799863507056,49.750519945971895,50.41178914008946,48.529726335840394,48.59342215918265,49.52016541130623,45.97211815181144,45.66621640635366,43.77728876375153,40.03765138743029,42.52579622953301,38.680447290179046,36.366582428805756,39.60027194144128,40.11936777338471,35.32214150866248,36.21322989936548,39.11132923886475,37.29915193987863,33.27048662298887,35.88717952135311,37.08632625957928,32.56761124114145,32.64594068476872,37.00185413717702,38.578955947683816,41.27184724166219,45.07662461353019,43.640848098439626,45.18620042932493,49.995659817240366,52.97261684893771,54.44769776495541,52.55664593238307,51.865484870202465,53.324046967286144,50.10623378477073,54.74046943341611,55.23734166872641,49.58108596621797,51.13417884692478,55.996679192305116,53.22328029568303,50.50235825030957,53.50996786584705,55.71720832115332,52.16216852382053,49.82739638306721,46.309564072121674,45.48842833864551,47.877137996036716,45.845811709394944,45.28499421988374,45.77100258715291,42.05653290119644,41.43727659455936,42.287893175574055,39.732961075960574,36.217319405341456,37.864602538445865,37.37723041656155,34.2509329764261,34.516729623536506,38.671339025759934,36.704690564467896,33.12060283578681,37.227669109225076,40.65655594726037,41.61058143582133,43.844493418157164,42.969463749766255,47.43716717216842,46.95810191957976,42.6927455550112,46.12272474603593,48.96819142331818,46.59611748123838,45.81038300069162,51.60553270783303,51.759478229310396,47.42129381349754,49.51773539315012,54.31730626002658,53.634614968477074,50.20548674900583,46.124344886309196,50.9643446224173,47.733440558450546,46.69932299698848,41.88158755909739,39.768476761966504,35.12087535306685,37.69465766663191,38.947674904335294,42.74586727033497,42.306775126211456,42.016647172440464,37.62351081500985,38.3641781294581,34.54605787361032,32.01832767317148,30.748356476196413,32.31557653323594,29.231926292964676,26.360831821771647,29.281814691909045,29.000542026641583,23.720240642973273,25.606966343325915,28.71717248784856,26.429312571351947,25.229906797583983,24.917711378592443,24.26916041942566],[30.492456260820067,31.916689808367654,33.312115588467634,32.348853291931775,33.21369805826599,26.67832091645395,25.921725328877393,23.650901499823767,20.21480185008585,21.969848244250525,19.209988971130635,17.847611344745626,23.298497849948742,22.463792461277748,21.875007792603057,24.096798246768447,27.509767191380867,29.94047480515769,34.38862519808346,36.4058826439602,39.7475479859952,43.64081885383688,45.23842131987498,46.685546889365654,44.01751900838815,40.07934489389033,38.360118247367375,34.32577106703552,31.639474123533116,28.99741346405332,26.69598616328049,26.38127269369661,25.784420000441504,29.808168072450144,31.07404724209848,32.29372549785702,32.24051934673664,36.50547749173016,38.874049744149794,44.233344439344776,43.56109913598221,42.23125169323917,45.78886910402181,47.89666370313709,50.346316390509834,51.201043701998344,54.948603913088,52.80986243673263,49.925268153862234,55.27790797353387,55.86819405787337,52.184694505408615,53.60891383073269,48.398833005330886,50.91827548273091,53.45572150750922,50.330877794110364,46.78084212280802,50.49777120382887,53.02043708769629,47.86284366541971,46.095654563973284,42.28455069358909,45.155179786379506,45.44014211384607,41.34050683362239,38.47761044020468,34.27432936215566,32.94011813540306,28.43452114831782,29.433871457968916,29.90510428647178,29.505068558715298,34.23878449927839,31.78897831566258,35.620350111309705,37.510115729624076,37.49240395959831,38.85598925901544,42.3503284579804,40.47474274400727,43.13815418510996,39.87564376381413,43.224218100114356,42.57477521090484,38.63991752872032,39.28443386146638,36.58774874079972,36.2592792893402,34.65091551629512,32.34537071559329,32.349486069265815,28.446457442024943,25.490892881713425,22.996091942600692,20.119863358315012,18.730311556597734,20.75335033081058,19.830100250200154,19.463597771212402,24.8050206649392,26.858197741848958,30.45002143657909,31.961006719234465,38.150539256688184,35.88598743302677,39.17816816781956,41.342699093414616,38.7947773474214,35.15434787872261,32.867067163137804,32.47372074112416,28.408113673431362,30.943464323814034,28.34200838023754,31.42233375762673,31.919953652902233,35.18867133077717,35.534815357680806,31.00326899486851,30.1475048559265,27.815302746150287,30.754855366041152,29.530863599416442,27.89717571864982,32.444961749792846,31.055678222429652,34.447265057832105,37.04011641771558,39.27251062358322,42.50537804018825,45.329828697303256,46.66707420899432,44.21762686871865,43.40582719657095,39.503030378536174,41.9081942272741,38.989700554021915,37.661869664870096,37.8098277022227,40.13626622135849,42.997037966345566,39.643338498872055,37.76398469671647,38.73623313218551,34.45048674726436,33.53651130659941,30.411933420261498,30.30118246804835,26.294604255580257,26.887609250417448,21.93898377172101,23.69298349474477,20.475302349826098,17.88294449446313,21.792838565420823,22.741721944785176,26.551525723109954,27.501707651500055,31.967902703719467,35.24373880814671,35.296002672328015,38.42492608917413,40.60023802521883,44.72314187495239,45.0528496323828,47.763486660525984,50.91778974164179,49.4533023150518,45.73469193071874,44.81787952529497,41.43727699987893,42.02577366768733,40.57384389051661,38.60709487278748,37.04884480099234,33.355231798159295,36.846115200966025,39.818499354323976,41.226925618057486,43.44315058830862,40.16156213626944,46.052137631028046,49.41161188547693,47.30905960431346,48.58138228232195,46.256998747592334,51.87943787151364,52.018531503900604,53.57271524767794,55.46379417322551,51.877698559570845,52.593469357532676,50.79013364634049,51.02537884313571,52.004527862605634,48.25673023618668,48.22570923925249,46.23685149182702,42.759517693023454,45.38490003599741,41.77005536077034,39.15622587899846,42.1478275995083,42.99358524802899,38.15498791018997,38.39754787304094,41.564183087614225,40.21274248226933,35.706188075133106,38.05616870995106,39.50048930379315,35.05950315115653,34.55303846974854,38.87848891599853,40.37103983533349,43.43534147891479,46.87256302496482,45.820254912839665,47.58995156806982,52.54660624410615,55.518950553117186,57.15494709662275,55.595143210695554,54.95163579979276,56.598017137850995,53.47247296019893,58.0518062606405,58.31347746335814,52.534676380122555,54.2426459453371,58.92816911405233,55.91387803612123,53.2333997923559,56.30583192511729,58.19457067869377,54.47314878401468,52.24192070800794,48.834308194019165,48.437826172277894,50.9944362089432,49.119442077108985,48.82669340887076,49.53544079678896,45.840567762495425,44.900871909108055,45.88630208610927,43.585767574490276,39.84713566417887,41.25326728776088,41.003043040926926,37.89520428281152,37.79389447877219,42.02872106421269,40.170210182617694,36.322034197769696,40.20648258090887,43.77119571490415,44.59145068036476,47.059424534719255,46.26314135871251,50.699671899541066,49.96774685759192,45.51600943954606,49.098357289130035,51.7382895775803,49.15818220441021,48.35677190268136,54.24907891012299,54.08378307232983,49.56014615661996,51.80723319291105,56.60157601272047,55.621383286572254,52.040553187211074,47.770395666144196,52.408384501882146,48.88101144776579,48.09910178626734,43.146133174705525,41.47607723227089,36.725333165871,38.79705618158516,40.26600438719303,44.00203606035552,43.78865720155026,43.97614303091224,39.58628650561798,40.69254645104755,36.64787835780415,34.48368330363835,33.69333465241463,35.51871535440302,32.72801215613749,29.402430504039927,32.3305717531355,32.516394562213655,27.2786530842296,28.567761346859456,32.00595813869045,30.035803172809633,28.841389857116468,28.588962187144574,27.849286565965677],[30.658811581232037,32.58432640539477,34.650039754785375,33.93471638198677,35.48530709823548,28.82871071157602,28.728964564165047,26.682628447482422,23.469614145355305,25.76695069776895,23.35671414558401,22.093681057797504,27.60971263251051,26.701069366614856,26.542374026508863,28.781146329762933,32.0389918749068,34.66026630513127,39.05390552351498,41.1497146631199,44.50077836319947,48.432774931309645,49.98890314847884,51.33198634258803,48.66256151991287,44.66435786280902,42.924118159539304,38.82928743557719,36.28735130378757,33.62786945154826,31.570896899729043,31.093541269639267,30.544082248559622,34.6293314460734,35.8764783513933,37.1145464225001,36.901243213711524,41.19173628610099,43.45036371955449,48.81743848508294,48.09451339621816,46.92788866294847,50.54022777835617,52.554042782363425,54.970293563828356,55.68869135481272,59.48986900086491,57.44313847215203,54.40664401834625,59.71257348534289,60.40150414472958,56.7561342876846,58.288193307503654,53.03485181216969,55.59970141128777,58.239862719724755,55.11770321273568,51.58324834951916,55.338009235852205,57.87567783123134,52.727585593576016,50.997939564149824,47.19041945481501,50.044849106839635,50.31865988736497,46.21577257435209,43.29550296259573,39.122334812708,37.64676104409554,33.16421724642021,34.00330105269487,34.366709572750715,34.20878183963045,38.99445289377859,36.6637298555604,40.47793509096164,42.41931494227998,42.36612546917424,43.73162935332924,47.20649629826714,45.22822246549526,47.80425286755239,44.36990422814817,47.639826016712426,47.01387695928459,43.19593578573976,44.01866695361026,41.2963558601442,41.11407514644677,39.493681104548465,37.24605597009149,37.19859453606734,33.31878763380882,30.36167108356653,27.890920960567858,25.023724373278238,23.576247668673613,25.514831166693952,24.35874426771664,23.436894962405606,29.14776036262175,30.642001965933993,34.62657793693057,35.65448972211113,41.864922517862205,39.31679999377011,42.294929542668754,44.41506716661062,41.607218218544325,38.113731263756115,35.7060529338417,35.83965576521813,31.786177794125418,34.562710673782156,32.297553427616386,35.32521469782868,36.142329501190204,39.276077634245254,39.92520523770246,35.481950786604486,34.39279000846457,31.932143601793406,34.5065573606096,33.133635891563756,31.23053178008488,35.754203624448294,33.888522311896736,37.57549412305008,40.070230320027186,42.59190176508079,45.51634014686847,48.37326120224892,49.98950965345133,47.70527179327233,46.877191136421565,43.00739469799863,45.01780531350578,42.35976925495293,41.11942710267395,41.59424063462021,43.959222919064004,47.07734128923801,43.90447093058918,41.93240600768733,43.07922429458629,38.851429859962735,37.73901008071286,34.567847912724915,34.21318713501659,30.02070486073049,30.232906413561395,25.235385971599893,26.705682466710186,22.87702794908077,21.225090031273247,25.44378597748469,26.723751412062473,30.248700305504507,31.644946768716142,35.746735652231656,39.1815292014047,39.601341302067226,42.56473754322478,44.90814486179853,48.81785412304471,48.96676448402532,51.53590596459415,54.616953653013255,52.90696945561827,49.23296142703688,48.35428415484428,45.13737074802863,45.955259046028125,44.60186093566108,42.77371099830752,41.14337724678355,37.662279797789196,41.07790903643292,44.12846777032595,45.357260546514944,47.55130067597881,43.95662733515551,49.8492343781865,53.251194632453654,51.21797040942468,52.79055602365299,50.651191835677565,56.23934992816711,56.309686482456044,57.728279420549725,59.458089569593604,55.83358188396883,56.29560204630365,54.30631254597156,54.36036631828971,55.06775252863752,51.17728799660646,50.93155238621105,48.618970380052005,45.2150267745029,47.43312831008237,43.8185129347142,41.31735776549452,43.92248255870401,44.52241400077913,39.67510248688409,39.81571623568063,42.68668427703091,41.16198364498726,36.608735129753256,38.702005108162275,39.85348743382216,35.40002874692164,34.80810182894203,38.82861726309379,40.647062175710836,43.41956640903868,47.302164987062824,46.467285186963615,48.00515996035318,53.14952851181321,55.74760041203069,57.723304693045264,56.40932159210649,56.114436709657944,57.96769524965119,55.15798964503659,59.82826633132115,59.839330914878396,54.2154809902744,56.22542363797871,60.84476968785408,57.70823416571085,55.28605325611326,58.60049092173834,60.22694990238563,56.42164965700661,54.6981577515591,50.95294754777962,50.91320963287392,53.307367537162015,51.095063293916304,50.97704522852458,51.395892504711505,48.01864799247667,47.02303449963113,47.48703967259634,45.28421458606933,41.72587639510214,42.7353586090466,42.14363439672719,38.97828548776288,38.824512393890664,42.74283150694526,40.62572563293236,36.59874562128504,40.49263085377908,43.96792474520599,45.04435765898504,47.78606209647569,47.4175970393023,51.843983015577095,50.70632877666055,46.50891848799367,50.42196692927813,52.77462696938734,50.09930077236372,49.75985856448805,55.5752597355157,55.10030109081752,50.75318704981344,53.394723348620424,57.958404380084176,56.725108824231576,53.22231601779375,48.874734464620104,53.31900420172838,49.68765756966643,48.59836791091369,43.833252141220406,42.37134381300342,37.58029414063182,39.65497716131263,41.47595763223175,45.274477002590636,45.424005599190934,45.626816179967264,41.63772088941543,43.04956262170598,39.209962422143875,36.44467643309666,35.95625648980918,37.47987103941923,34.94250847066695,31.39401066605553,33.71111614652982,33.94909129016313,29.074821725403034,29.523531930007305,32.75511525171014,30.729285929253617,29.342090804253388,29.261962160740612,28.66038240899856],[30.320290509033345,32.11298980904827,34.19318828213127,32.770886632840536,34.67881649887463,28.176013616352687,27.902415981829392,26.515339405181386,22.6319210702775,24.34831711954248,21.929484642162148,21.614668928885944,26.609765131944933,24.815940842864983,25.046979033118188,27.729640883854408,30.48518432381661,32.97268575842624,36.90569521828366,39.484542072235016,42.5546857169003,46.747368894150924,47.95498743535146,49.09274528690488,46.698604714492014,42.52257797789446,41.16491244609098,37.11255155866517,34.95284205240284,32.84128728577029,30.529471848884874,30.88579322103356,30.62686241713147,34.46613496802568,35.59330057045633,36.289821229519674,36.60105370169156,40.2690250706956,42.402846021524084,48.132481757373895,46.806769800832406,45.48631672771322,49.299202819074345,51.11549012571123,53.19913228955111,53.83806993947235,57.67390507393576,55.95533274868161,53.01847977360034,58.37164179930462,59.36320043553181,55.815997164709835,57.5192115731992,52.2706435471546,55.2291406174064,57.51629441985545,54.11111155320242,50.906808812238474,54.71264402634925,56.815580599034746,51.488381121729,49.86740102119324,46.16444589328886,48.52732716797465,48.76273318878789,44.850465766840685,41.35460566598517,37.420064783969394,35.3372937507729,30.961868998691607,31.355810162074988,31.41307955138489,31.853133147154193,36.77836784849869,35.03428618625123,39.11624073208376,41.281827036395384,41.70119317868031,43.14451680037789,46.59528011566763,45.044095743415895,47.56040543249738,44.57969360602389,47.7250540190306,46.66116638012002,42.86651537586524,43.35502683758361,41.16101502932551,40.31181541647821,39.1783579356659,36.43191611884755,36.26244593044894,32.40324850404327,29.826470685718586,27.098966712468517,24.12776877788192,22.340802211924846,25.427974575462688,24.53280981652226,24.75162172498923,29.82106995621552,31.820667086534094,35.24765455609661,36.53079690382458,42.55220813504357,39.877525512897904,43.18217697443763,44.95485676923754,42.02002576727208,38.727211322946786,35.92129854678282,35.611300355756114,31.237056355807272,33.49679903548653,30.81007132858831,33.446271724499496,34.15563438055082,36.93933504694716,37.42048169028285,33.266347849872346,31.844290029055557,29.580690667269195,32.00578169156774,31.02859902884309,29.542279180762748,34.38373943568138,33.25605531967259,36.97954848290087,39.8196770040678,42.5911500435498,45.27550406802892,48.4921719337015,49.75656422759754,47.79062802690984,46.370301586747885,42.26905136105412,44.068611106998034,41.010554931193184,39.337114522708454,39.89439133475094,41.67082651925388,44.86116739658946,41.86388744955942,40.16300569703996,41.60034948519205,37.59818601246363,36.39839464559985,33.672152501748776,33.76890012157817,29.652421878665002,30.590947294501824,25.795572237785077,28.208899495032547,24.84943789676249,22.78456523823004,26.658578226331265,27.15607386783818,30.90613448274322,31.720465433723742,35.91089038517014,38.672343836305316,38.92597928026939,41.36438578948674,44.02988682182332,47.751323593687346,47.490445814343346,50.399456642626724,53.198283114097975,51.61496247707067,47.77873106798815,47.230338774319414,43.95053815184477,45.16699285876555,44.1393513193478,42.5284099169784,41.364198063152216,37.690175066235064,41.621238602496454,44.172287067403424,45.66708807157186,47.32932718888091,44.050673217228855,49.86451477348651,53.104114375366365,50.77928186031149,52.18798537076837,49.83670396306352,55.37435620940576,54.952650072481646,56.716915555049894,58.45277874732648,55.05185506395159,55.583942939338925,53.71897350649336,53.99645368543188,54.82020959733564,50.77214644316213,50.90177035878019,48.60837683965385,45.509546449375165,48.03019294762515,44.723831366601054,41.84761051128014,44.313289687308846,45.407437938417154,40.57184987959281,40.017444790475864,43.30660921659348,42.44580369331565,37.419777414142395,39.316729274072145,40.91351075791679,36.635744927100454,35.42653797011914,39.52622368457658,41.014408475009176,44.364993272346226,47.494659808396165,46.98759372473885,48.91216547596616,54.075725734735435,56.883597571841975,58.82747609626262,57.79284996584166,57.359075473485085,59.33003322865071,56.49416197760421,61.02327590063983,60.858425989081006,55.04093118518617,57.08954357611468,61.49290416698272,58.14043246856579,55.66925904525906,58.93920239175417,60.286779397096,56.35191796116427,54.5600225197733,51.099751746091535,51.4187865517558,54.06234028011711,52.20120124780718,52.35313187445815,53.20171141982622,49.72452450110787,48.333370403716124,49.21879086198189,47.3261586102506,43.40147819354648,44.294254981398524,44.209935829256764,41.135583273524766,40.539554014232806,44.71099456988854,42.933678450485914,38.73270628198379,42.28016502155785,45.949677202212094,46.6710175968687,49.51277650674789,48.99486274592188,53.35306118739989,52.13787699769721,47.59807428454744,51.48147562394285,53.71983800125751,50.86832858462096,50.26837949641324,56.19291686446348,55.50558268668877,50.886854209371975,53.4851808387579,58.11954238104537,56.68125642616504,52.99267895578319,48.513763508112625,52.783838167820825,48.91924254526948,48.288357188200926,43.33051322130826,42.2693204546427,37.46001937042981,38.94928489682338,40.799939309158454,44.4497840686552,44.6764482087402,45.39014142813292,41.281537624836105,42.9598956751843,38.85045517212883,36.76027810717869,36.69343179217151,38.631011946396875,36.369044528368434,32.43851635151668,35.027316452805344,35.80196280123753,30.870587903180553,31.06922279951131,34.764103705218034,33.2283639847388,32.02147716161203,31.90332017392437,31.133947617280064],[35.375737012465834,37.47674124724139,39.958746502420794,38.49613581314902,40.80098458604111,34.33325572741576,34.220545498887404,32.9388213737488,29.03383912295093,30.601373938226395,28.089667730115313,27.84832915945703,32.75703612769582,30.743797302948405,30.71811161484502,33.4976998634462,36.289772502245114,38.40771749485203,42.06874522311713,44.85215808858884,47.6589496073552,51.936782915956,52.95326104282949,54.17315022082472,52.04531427921891,47.84780986376774,46.78655047464677,42.84394565828782,40.67010568856413,38.69651558530032,35.77983575032742,36.52781734077641,35.842682759113174,39.37392726408826,40.923889877798544,41.729946980203614,42.34933559555047,45.99857184515308,48.26197524186553,54.004176809458656,52.643522615163825,51.04408643248258,54.80199082225729,56.72347919196772,58.69102011595676,59.46224380125018,63.242072432646594,61.56698084159337,58.85875117690342,64.26000143444426,65.22846675421738,61.663559760203256,63.20793811683674,58.05378370296241,60.87301447552792,62.96490285329349,59.558134411645774,56.30003036105914,59.9127150141264,62.00862367218198,56.61771046627182,54.68207541274076,50.899974766312496,53.024220762096384,53.600529614841335,49.89363629368013,46.139060725791396,42.35500200762354,40.10536182008702,35.78552985905474,36.0244471260924,35.52515537867384,36.12176399397606,41.03359609722446,39.63138127644799,43.28431324920329,45.98905499944218,46.22768618064823,48.06724219798846,51.736371700401165,50.43604556574457,53.22759398471961,50.397422627026,53.69509555430171,52.692584788649434,48.76557363692642,48.9812602067727,46.70085801206092,45.58625189577168,44.083018073838254,41.208660588826426,40.46692620973592,36.79197046574046,34.47586781543045,32.24496193573161,28.949933641419037,27.688687969545818,30.92172862393714,30.400277715142906,30.576484231598656,35.66053192482081,37.88117591201092,41.28784686341336,42.76990874116972,48.84347920155989,46.25934528576207,49.53308373613641,51.35572897301185,48.40003274789823,45.11015899738624,42.30997261109502,42.03642927516512,37.64773564352096,39.814042059945024,36.97376576717711,39.46010221722576,39.985030737294636,42.6151192313084,42.715215574971154,38.7251215758089,37.28335355287925,35.27851603247379,37.721092581357425,36.99874944917091,35.69947054572946,40.6148019114291,39.584761727046,43.35275436791835,46.21598703693407,49.019180696511334,51.66324177515318,54.903634061953525,56.170706442165816,54.21107183274982,52.76087273637292,48.63309745315554,50.3544202046674,47.22643458590048,45.40471191371055,45.976619032241565,47.44154990967535,50.579361112823044,47.60530950399523,46.10236260844943,47.55356874789882,43.59308847395081,42.49433118566182,39.894793618968166,40.119168995436276,36.0509381382994,37.000105023991296,32.172198612352005,34.36231002611911,30.81761821412391,28.811984359245926,32.762389986570604,33.39263956031593,37.20171721444249,37.94797539123185,42.27547774825653,45.00585389972131,45.081435733952006,47.51281638637791,50.15084319796982,53.93320701121812,53.60585071423733,56.64193605695271,59.354025301032884,57.81890168612367,53.94211244531679,53.49748206556647,50.20227999071476,51.462753788170936,50.43978559492546,48.7671061907018,47.587359020905986,43.80400590933928,47.63342832187932,50.27119601345002,51.843773636223524,53.59345948762536,50.41706598117301,56.23420069317172,59.46545106304482,57.11287228100749,58.38550762251763,55.892348643430644,61.44249163981132,60.94963059827045,62.873956357026486,64.66775697478012,61.32853159889536,61.92035264509799,60.089648165179014,60.39543433534138,61.20689034819855,57.1150501747825,57.24107874858823,54.85933316140268,51.808789570823926,54.19810298003726,50.888295562707185,48.063970500721126,50.36887028637383,51.36164237387582,46.53418611465383,45.89870803917347,49.04864688824763,48.10157360614937,43.07241525262795,44.7859630473744,46.20427931907172,41.949640265530896,40.65862105504688,44.49571474182554,46.176405848603025,49.352549389992774,52.69701564499366,52.40222900403761,54.19357350722001,59.468440090989446,62.00062649071816,64.18713070685916,63.319443992067825,63.09436497288326,65.1638097676871,62.475583231417225,67.05005738370264,66.78106107266898,61.047189947440906,63.21950828721545,67.58979163336424,64.17891032037608,61.82085070492837,65.17305503372872,66.38938740355167,62.406358879505994,60.810311753540574,57.26526675246913,57.718986070576484,60.30989598925608,58.3183893645133,58.49053657695549,59.16846243453818,55.798415346948076,54.47416498229698,55.115994870083085,53.184488292483366,49.40726794657729,50.178901590680205,49.852719169963834,46.73628581463539,46.203939251672594,50.15839941524215,48.17457851462876,43.91963496385578,47.50062007456824,51.0729765444403,51.99368726913005,54.985527139717064,54.718049144842674,59.0689425689822,57.631441756528005,53.265488922931574,57.319195258613604,59.39287137008394,56.483461368681894,56.13340661412507,62.00895559573168,61.11594379356581,56.58371234853626,59.39206378459108,63.89456422474636,62.26695193877153,58.60175602963699,54.062537182136,58.126444560527084,54.13308547786236,53.41872798661217,48.584948553849344,47.77778557978582,42.97359943734443,44.30452503661193,46.38225953222893,50.00048991156162,50.463883917318626,51.30216853360283,47.37669717793003,49.205223864504354,45.13456912203319,42.90733130544356,42.94141394088592,44.751631909738876,42.51035836865439,38.58162548964258,40.913308738352264,41.62023917292909,36.81530730914028,36.74229079063344,40.24475391098609,38.5554062347293,37.17928255084303,37.11389878542065,36.411215762047746],[31.563950313369286,33.86179185831822,36.77675092915134,35.196656868512726,38.19501417274319,31.87143322926119,32.281030353597444,31.602530591559706,27.723869690051774,29.634563472462034,27.680720882077406,27.93372389982735,32.61458290564151,30.316088357918,31.216740305653953,34.09170817495931,36.346330815049015,38.93738754405809,42.4657686881321,45.40065585236571,48.27388996687676,52.639945786744335,53.55893863831536,54.4098026714316,52.217555755620964,47.897405697176076,46.77346280463754,42.72975338646694,41.00708210909093,39.218131319092365,37.076203685185526,37.6945575462663,37.653908542253184,41.422468157929465,42.44175538287722,42.83757264099476,43.26430828013951,46.56280301127903,48.46568728041245,54.39757791779376,52.62275769842506,51.42211396363463,55.408445306184575,56.95919149062829,58.76060045378429,59.15667459143158,63.05882801590764,61.70115429786563,58.649980909142535,63.944060501643555,65.2672275885598,61.85858551329791,63.80796793636689,58.527525341223786,61.8026134686049,63.97056845363883,60.3908064676383,57.446557791875485,61.32069723537933,63.136780642917884,57.73148894377801,56.25122117117622,52.64362949664321,54.65929939578169,54.84187313063485,51.07305717489386,47.180212697605285,43.475888113047766,40.887852317388315,36.69258561851157,36.625263023380256,36.37783941497595,37.459952275356734,42.43415081705196,41.206836058206136,45.402085293537226,47.726659184817095,48.40070595456334,49.87419323358443,53.26596979782088,51.859511377120874,54.21967874669127,51.32688618137365,54.28908689220737,52.97116561140113,49.35269425720047,49.847656790551284,47.96242353669763,46.887969417743726,46.05162697178876,43.09719492766832,42.82218815306507,39.027175564493874,36.66770719221052,33.84179598061437,30.879701689537868,28.89383148686431,32.386292170172396,31.38572134999364,31.617330162795334,36.71307793203723,38.398381737796115,41.91237463789561,42.80396396795456,48.691953326081936,45.62381029158915,48.74421340564688,50.21076377929796,46.905911084481865,43.96616453141348,40.79929813825525,40.831211545504964,36.35657061540064,38.52477282506979,36.03610103582741,38.30163482000322,39.31764432022629,41.65007438248198,42.400064183160104,38.62152828751625,36.745246044416426,34.51034228695167,36.31533616389554,35.440769681072545,33.941844817184716,38.819719444072874,37.62825888289798,41.64928740218995,44.551631248847166,47.806300331213585,49.91388510902252,53.38659032004303,54.74170572842472,53.21851132461049,51.385852529727565,47.22134466666813,48.35150535865301,45.39743219850727,43.5695566247193,44.585326349119605,45.97938112758005,49.499811198646945,46.89970814402467,45.285023940592296,47.107645350698554,43.37089795167,41.896266990478146,39.43064302587474,39.51750880780432,35.30860918593594,36.236675307547635,31.59766246504228,34.19857537588661,30.542818241346545,29.19739100373753,33.15283902763545,33.567850841847104,37.102271135233906,38.0583489835636,41.85015913585252,44.345543787395826,44.927430551213945,46.80374380846471,49.85585096475231,53.1533123406544,52.38414436134147,55.31568220555173,57.79111293285037,55.99540957769887,52.149071527094485,51.88908678011417,48.8182031423002,50.575364680078565,49.894359395519515,48.60428176555499,47.65897144752439,44.1345956148255,48.27921144456458,50.5949879906736,52.03960135656873,53.316865189348995,49.88980957868745,55.612335363377134,58.772798873755185,56.34892050995981,58.01327196185737,55.76686680872944,61.19780360762142,60.34616325450291,62.16152316081336,63.67895436171456,60.41428713498985,60.66411768085208,58.6639049611074,58.86683390359946,59.41930638060028,55.11635747551095,55.23828507678043,52.57046596358058,49.82672769857467,52.01652836073204,48.97784696470782,46.0173904806926,47.85268808620893,48.98008987936539,44.22670300956386,43.04088554545078,46.19170355128026,45.626307155965755,40.296918145350546,41.65949477593782,43.17829550757829,39.1315062734986,37.36413792019956,40.99374088436806,42.6218481810923,45.96308183704738,49.02900232502529,49.09325127328743,50.97967990603892,56.33299918763425,58.75673836670265,61.12081229218665,60.652148108264406,60.57628140571148,62.8906835174436,60.471809611712445,64.9729049942343,64.34539341958059,58.64113334041451,61.09147360388207,65.2051491227361,61.55757261553389,59.41439117433787,62.93624662870694,63.71345272339811,59.60843155672858,58.453762649166606,54.805284746628395,55.84391827549974,58.43607214519781,56.421344230624854,56.988836697005155,57.78104744356793,54.6546370580478,52.92528415908729,53.45757837905504,51.93293079978098,48.011594304563346,48.3199463948744,48.183451012501365,45.1523134768781,44.18020909299503,48.066619789130506,46.2501789713888,41.77919586787546,44.993853941041955,48.62904716359832,49.395097139017125,52.627114065848765,52.554398560793075,56.793227774060064,55.00283061832207,50.59747587539326,54.83530128939968,56.57841448250338,53.500763823168754,53.320758250549616,59.152635486517326,57.8885422637937,53.359915499450935,56.41771338922607,60.74279952668375,58.81244534571785,55.133674581768965,50.51404693300616,54.30602020249894,50.16913198727727,49.493247660439515,44.742829635315196,44.31395447930846,39.55906148580222,40.54528359968828,42.85490285697867,46.38984885388096,47.16605957693987,48.27872971562915,44.68385623162624,46.91585907471252,42.94670459213067,40.62737197036078,41.22136354682358,43.04519563278357,41.308922001706186,36.94267842142152,38.92845506090335,40.123089556626844,35.68317292017154,34.73348538980572,38.40112775633101,37.18857333813979,35.92755248594217,35.97234913664358,35.27708621075369],[35.34295822471212,37.51538131028953,40.32851551962507,38.34343694574322,41.3694539420694,35.21539817975563,35.3410446910167,34.85647166309507,30.65673951126644,31.985680005529897,29.840258257204415,30.458016830043864,34.79470217087852,32.048276236362746,32.7402278520239,35.81405364385712,37.92141314264269,40.081168900019385,43.19533201377253,46.427314193318466,48.9573819077579,53.4482314640359,54.086537965647906,54.94808348055044,53.08757886068615,48.7343044451582,48.01149276657488,44.12756567133695,42.50915185946616,41.06886048248283,38.32676664515262,39.609559143774966,39.37562797362222,42.77046100691411,44.026586525142484,44.265227581946256,45.182716803884844,48.17692018987482,50.156286569400585,56.20529209761892,54.18893175774067,52.653128614140165,56.633748811042885,58.21073745435729,59.789245588756984,60.313085151916965,64.14566123558214,62.92214943460131,60.16932286983461,65.5126344764702,66.89588914424631,63.50550054494534,65.35685546233874,60.1931393195525,63.49284442466497,65.32183069413557,61.63595956487663,58.79889693479797,62.523053728539594,64.13674005161232,58.62966581298994,56.96428336680183,53.37142104414558,54.99207146545458,55.40426283291466,51.8953307431345,47.619629613291345,44.152765622761216,41.259732864204274,37.198585958352155,36.880254436852134,36.13270667741381,37.501185815163396,42.44566743879029,41.69435926304221,45.6675954619553,48.425069148267035,49.186178039457424,50.954744187330135,54.47144808130609,53.47174617730274,56.02621088465453,53.51284124686064,56.55225710994234,55.10089109694448,51.36639008478321,51.450702254613994,49.744245318762154,48.157629551199555,47.28044572435841,44.033162270885605,43.33361060837735,39.71489175517358,37.72882919498246,35.166420694922905,31.99490790569485,30.28153683236039,34.29960597156365,33.747787344610174,34.55415062356186,39.251956342993246,41.48461169848109,44.600430150022085,45.92978867040369,51.757876528026905,48.85251106733659,52.20883262867655,53.608680170030794,50.38424530912482,47.448916307633084,44.21944144151257,43.86030741222691,39.27662286364684,41.055801201417985,38.15515443905562,40.15554202419746,40.83227004227649,42.94313432782529,43.189017438749694,39.659270059211856,37.747314191045675,35.874495744176976,37.77820784230073,37.34014453528165,36.29194937315503,41.32058894047699,40.72276053910142,44.6214280828393,47.70276758493538,50.9140115225171,53.05311875483007,56.64899529961909,57.72915144102167,56.251753405481494,54.188957400020605,49.91599752891294,51.104900643136354,47.82336020044925,45.67971136178451,46.57034222064643,47.45819921937628,50.8210596084908,48.24319408010831,46.94554301674782,48.80385285605864,45.19206499285504,43.85802420418908,41.70257895860023,42.1627400341425,38.13076693072731,39.488275645474054,34.936807964188006,37.79790387179984,34.41846726344575,32.60084537400043,36.359211561747635,36.46269770004073,40.21438243374788,40.716680186673685,44.77644045815207,46.91183396214813,47.12771526266713,48.85391653483983,51.918414778214206,55.268064806757685,54.37911841339155,57.5962933991718,59.920814095570194,58.34681150091748,54.39666472710764,54.32773050719839,51.15098350044821,52.97651827634519,52.38202022272674,51.07335285690658,50.33242693169435,46.58183032217668,50.85956260363486,52.999626567223316,54.6778601897638,55.81729261601124,52.74853099020615,58.422290331295045,61.483561518474296,58.90066717422212,60.24839494240411,57.73650626378457,63.14446528413565,62.07513772383176,64.21103234076288,65.84940437030457,62.74682228953338,63.197335120256604,61.372626416503145,61.77409628043321,62.49967969764083,58.19132690866252,58.564685464975476,56.01723243524791,53.383337216898546,55.79826297476429,52.864244926898635,49.758246244643374,51.636184167948684,52.98971672337205,48.25069591877926,46.8375736395787,50.18829299831106,49.86892604156449,44.41472175893719,45.731926534300925,47.42945321816797,43.45338162822825,41.49460339410435,45.14164619818168,46.609586104906036,50.176761019493014,52.886357180958576,53.08966517272163,55.139917198795494,60.46953641153846,62.98258325518705,65.3133555359024,64.9195611105651,64.7507880743149,67.06137297853859,64.56705309178818,69.00296611495125,68.37568585174813,62.58043353907336,64.96798163609063,69.01505201967198,65.31593029467997,63.09747806615539,66.52783842346777,67.24861913562881,63.11280340922897,61.801470295260735,58.384861236552425,59.457191792626325,62.18315181918318,60.37912656212397,60.96096731904106,61.92885208400152,58.6763199000928,56.89205875838177,57.66527716071611,56.157059336521726,52.12426534313159,52.52178843855666,52.55490752245423,49.54369809301751,48.51178377354642,52.50446549553463,50.78129768522152,46.30606939479678,49.45157182262066,53.13425047300287,53.78971211430003,57.01022328650716,56.830959153201626,61.05212501565022,59.30250536627929,54.76537256647412,58.931485500444616,60.67714424010663,57.55352101377751,57.2056468338057,63.077136115257176,61.76584164938807,57.10975441922391,60.07783555713901,64.45470464817176,62.458379985853185,58.69221979177226,54.03562775868483,57.715561390970905,53.46946985110107,53.080604155974946,48.25598550803912,48.032049024744325,43.3096942809255,43.97552317358893,46.24990434242768,49.65959907092323,50.42997864276171,51.80744527152343,48.09272111915181,50.356879419174554,46.224548010994255,44.3624022598386,45.00536030959855,47.026721939077824,45.25990072232265,40.888404844963546,43.09874633766518,44.37708480307084,39.80316619055619,39.03108302893981,42.82143673950847,41.65747921870729,40.42086702136846,40.41028498868605,39.64627488864077],[32.377756356960084,34.683038098948934,37.81553869379617,35.77210973502399,39.32294838822736,33.35830194095379,33.906481221079694,33.87936871454999,29.794412641535533,31.401518899903518,29.72623198166285,30.654016190166235,34.79661448274306,31.92388034655796,33.306362765002746,36.38789270842797,38.09782031773299,40.63550780356978,43.67548104974583,46.960784282567346,49.56790088107413,54.08498438976759,54.682236720752435,55.25779108192262,53.31834576537205,48.900712238045415,48.088551389703554,44.13816894727569,42.857504027427375,41.52375574629623,39.43718891446763,40.53098059699286,40.774443519186846,44.364686443969426,45.2086598340557,45.172351701354856,45.88392057938929,48.6401084104031,50.33069434797019,56.47530135041943,54.18614089246704,52.99810941704428,57.13121995643716,58.41871419843117,59.89171409557603,60.11226613810684,64.02900384470104,63.03737687961802,60.00019107741779,65.23635143231841,66.8762138126722,63.617246637072924,65.77581020500838,60.522769661652376,64.1476799820547,66.0674232604178,62.27853433026676,59.67274998996074,63.59519501169212,65.0211336362391,59.53693534024028,58.23838370782244,54.78510081870268,56.374384847415755,56.46332355388033,52.88993922798436,48.58673060283577,45.16893483620485,42.08836789314942,38.13821666448186,37.629840512881024,37.14621166191356,38.816930968438356,43.770346739707506,43.08390734439182,47.45525410693107,49.86120831730893,50.9193077190529,52.37626330317717,55.66070971270194,54.53522859598492,56.73895975848904,54.146881452175016,56.91721092809327,55.254472309841304,51.78077508669127,52.11815516050182,50.68608877183623,49.20233454771554,48.81315692463884,45.5668206293663,45.263087684829976,41.554585608079094,39.495317121131926,36.50520274770076,33.62207563360808,31.39657053761648,35.47479592674373,34.54311495912518,35.31144822293402,40.019840198419395,41.79515368177701,45.006895374109185,45.85442859423088,51.51221097636504,48.251999419218535,51.44996543382578,52.57881012070872,49.10387331301636,46.4570874189922,42.98251066027512,42.889255987843754,38.29810744630477,40.08997878192117,37.526114399357965,39.35841048632688,40.43901666569943,42.32225816620853,43.12227433469867,39.757584055710865,37.538299411129536,35.47350483859725,36.84750867637883,36.25797373933608,35.032068522885645,39.961213211923884,39.2012881276233,43.2659042696675,46.33795702078528,49.87377946586217,51.58381574209099,55.32690100349605,56.491526186500344,55.35210369579999,53.02914346624952,48.765759361609064,49.481819448147185,46.38636027557176,44.27927155811149,45.52260660132472,46.394287716703374,50.05030893053572,47.77809983236638,46.37095151386432,48.49688273030485,45.06730605715586,43.44545298446079,41.379436478897425,41.696710407138646,37.58701071295641,38.87663300700467,34.514998227961094,37.61319390450513,34.177719552017194,32.885146249946764,36.61893199490814,36.600618687228796,40.09276862810977,40.787362654518425,44.39172213230424,46.368093601181826,46.998685318312326,48.309451527592664,51.6667015665099,54.62187056407323,53.40850527086191,56.502966506994035,58.64638233430344,56.85446123375498,52.95974732609593,53.01804530964869,50.04540994544083,52.234890386029335,51.89528048855304,50.883786383615124,50.299963394224626,46.78851512843559,51.25480493016015,53.16716308300654,54.716611295806594,55.51270073583255,52.23685074868199,57.812602372136425,60.81539241215774,58.20592296836042,59.87719083462509,57.59163041153806,62.88932059289405,61.57441415420264,63.58272113191937,64.9902954994838,61.94161426821794,62.107599135275265,60.14387411851086,60.4467334806148,60.95456536494619,56.501339133090205,56.85159589068596,54.08692706537795,51.70076304415314,53.929986180596565,51.21802685634547,48.03966057046038,49.535545205893875,50.97110844388508,46.32623536778056,44.50667269270428,47.82044025160706,47.79077411266053,42.158130484171174,43.187373020249964,44.94276176656292,41.167741916533075,38.86171663176474,42.301519791099594,43.716427511475835,47.38239737857465,49.85957276538867,50.34226331930145,52.448014427284136,57.80894088302936,60.22135906708651,62.68024959367444,62.59579081457385,62.54811636778844,65.03830735201092,62.767170259421505,67.13130453792397,66.22964639024077,60.489679665040995,63.085564568169424,66.92022838288241,63.05647374475187,61.02146185248174,64.57582002100364,64.95343810526973,60.74114256070123,59.79427412007717,56.2977446153523,57.815831901873175,60.51929545799964,58.691561705600584,59.571937122087206,60.61038893984877,57.56785115006232,55.490116373226776,56.159754756664114,54.968663802418796,50.86081027030277,50.89838694318451,51.06612182031792,48.14215102066642,46.788647025879214,50.6923034101273,49.106368752073934,44.50822922714358,47.34581933931883,51.04583895842629,51.58039173921103,54.96420473245837,54.94031291559368,59.05087990369673,57.036484837332864,52.50370165782858,56.7903212759683,58.268919899014186,55.03340241968115,54.82966489498449,60.63289520446106,59.03872432011516,54.416016102520764,57.571349029344724,61.783225160163944,59.55915071785227,55.80415422946262,51.11134768338169,54.55681537934082,50.21942117946053,49.85492486463821,45.13228375999789,45.210256155323776,40.56995191264869,40.95846023935378,43.403881083048326,46.72530384283248,47.74450658142998,49.31855881093553,45.90173704861696,48.46415898807316,44.455489293919456,42.510439062576296,43.577601260390715,45.57757685100478,44.21024744328849,39.55650980242438,41.465993112893514,43.09486448005668,38.85201331187088,37.4283323134362,41.28789546520851,40.489155247777816,39.343129923735674,39.41600152496518,38.66188221699649],[31.083527889937027,33.663766930143865,37.256549519936584,35.368477564388094,39.48059216266056,33.710445252893564,34.79022649589572,35.08043607132185,31.286304613363882,33.28587838006773,32.031907281606486,33.02879524531712,37.11119825187411,34.302307499295395,36.168828343881756,39.177304606812996,40.65550565354048,43.5112437733449,46.54877759905,49.80588130901835,52.5038463727624,57.001310439602356,57.60599631071109,57.97524124318701,55.94632883670543,51.508412828013334,50.57316891981312,46.570381103558276,45.510581271830766,44.16737100612429,42.6245208400479,43.43033967383312,43.964610257997464,47.739121147955586,48.31700842841872,48.17424234009372,48.62935282279832,51.30844207885742,52.77832884631535,58.93099048886803,56.51714682489178,55.64899102361601,59.86932748373506,60.94694756727828,62.37355872634578,62.3401268194334,66.31995588015442,65.48669237074135,62.1901409823424,67.31447269070676,69.13132798322398,65.97482460793152,68.36356323279172,63.03972069562757,66.85775362690647,68.9140185306613,65.09208363909458,62.61473942871944,66.6798794446078,68.03064978151274,62.594463486919125,61.55013821916899,58.18113485933722,59.8101695602626,59.67749194869488,56.03575313070869,51.78954538228134,48.38379866859692,45.24559704401217,41.371985856193525,40.778184747961795,40.50332197353692,42.31935326971185,47.25578674346353,46.54947858716312,51.13996401321074,53.2899425923334,54.475309412294195,55.71065770938591,58.83230504108744,57.535748206315716,59.47626599748918,56.727158146265154,59.29528687922086,57.54552029495316,54.294195341196854,54.90164139921333,53.58574566675213,52.30175927714483,52.17615872307904,49.01203546549365,48.97788697992255,45.20723410774997,43.03946470357742,39.807618577805954,37.12515732266827,34.61158691357036,38.534365865101776,37.26717063104625,37.75202270866758,42.614004584520664,43.878622044694104,47.30896119856599,47.65663142831846,53.19471716701848,49.62319188351125,52.55789515447484,53.499202448251154,49.78954518497932,47.40519815944332,43.78309528755656,44.09687100918554,39.5870307113219,41.508527576778036,39.365311287538404,41.10610635334957,42.5734636759174,44.29543667971128,45.599427360042355,42.348632703971454,39.926193450461604,37.67802240941846,38.58324673197852,37.78355765011837,36.30186516782628,41.041004399310786,39.92656171085601,44.1576410045683,47.12277013987614,50.93835829608605,52.24186778496714,56.044653877036886,57.396237471199896,56.53405090184908,54.091094764207504,49.90017034538407,50.152293509593555,47.35943387918362,45.385924152018184,46.9715447360833,47.920333513350336,51.834748755189906,49.83020273732973,48.28547084301291,50.602064978158424,47.30234011074493,45.44184982777363,43.37457038601643,43.46086185443902,39.2656720717609,40.305502705258206,36.08619197212916,39.15260414156354,35.52865611361341,34.86348781330682,38.6570011337385,38.72272115105769,41.91864024805015,42.928053827498815,46.08565800029658,48.064926190838115,49.115995186677274,50.14606903113312,53.70630857564558,56.32188695190816,54.87176424878845,57.76898187727524,59.774891541160414,57.73009031777399,53.93668308634687,54.062411460495404,51.32277795937334,53.78991541398868,53.627717151445644,52.848667444762015,52.30219541276813,49.05271860990726,53.559351701208755,55.38694358151883,56.75725705656418,57.359137352328155,53.813444525844005,59.30440980291864,62.285227502698966,59.72088697305537,61.73796152334295,59.706401702077486,64.904836498367,63.453132510303355,65.27461140126614,66.45268252806953,63.41586109228327,63.27733802192589,61.141402043843605,61.28252184457322,61.517061379043014,56.94556570242627,57.16179062818935,54.132551597746755,51.95280740472929,53.85023414464138,51.306582388909355,48.17328953606607,49.23206498938378,50.588204151315466,46.06328378860639,43.96299412924638,47.06115491700937,47.1525270485875,41.46824247394426,42.16114496165225,43.79393802584527,40.229688285221506,37.67885912784098,40.75074060519392,42.256153284736115,45.797524219121826,48.285342588472346,49.06340430105014,51.07239853117041,56.48563635710559,58.625827506002985,61.31533151906414,61.56440778525023,61.759829782965035,64.44799266806487,62.486890391751864,66.81404242671822,65.62041779582015,60.033776174266414,62.88586764144568,66.52534663186549,62.52579604280996,60.74950664533616,64.47292090105636,64.50577946715931,60.239183301235414,59.780067110102934,56.09468310184511,58.04287089708624,60.63273696867617,58.64818287866037,59.79280985920331,60.74447641099478,57.999209097705354,55.7242584736865,56.09501603470388,55.16970355620742,51.12720435627288,50.759631401613944,50.87610582389985,48.026775453801626,46.446948207091395,50.102434752007525,48.530478985368205,43.84106491902495,46.4087407744776,50.03145182375226,50.581477234181875,54.16288181074799,54.43370994373175,58.423076896572255,56.06222329442497,51.69650128138097,56.16903318768134,57.319272569280855,53.99563906795455,54.109668170824875,59.77462828476643,57.85552914786456,53.390485116507485,56.83023620586759,60.78161726337933,58.3016847904254,54.63306519153557,49.932992506605096,53.0845762302062,48.6864121339255,48.17850477659446,43.69424199149645,44.078929393420275,39.56004944020851,39.75986517360388,42.45245519896892,45.69599163111154,47.0438104982637,48.71775241426195,45.734782476955154,48.585763072796304,44.810590320246746,42.554810459095975,43.99617136029086,45.823780121655545,44.833058555875674,39.98568342142561,41.41619165620547,43.273890281601176,39.461502698141196,37.314301247662506,41.058797909611826,40.51578174036457,39.391040853978396,39.58372138488423,38.89784886623214],[29.98212533117203,32.24210272532576,35.63431859408104,33.17511902267708,37.45276567570042,32.10115137709308,33.04697186965944,33.90644047338916,29.894489383398827,31.43778898795947,30.445248248502246,32.08933915949578,35.53033935656389,32.245301787715945,34.547379973909,37.67917155682115,38.602272784610314,41.4097131291769,44.006603883097576,47.49949978204121,49.977885397535324,54.54871429093548,54.90225665538874,55.011546434527595,53.16821072631717,48.6924819730679,47.999606584725974,44.117829373648235,43.479641719545214,42.58336632805421,41.2110522870923,42.420025950770565,43.311333222242276,46.906025228887486,47.20913074153536,46.61268023060182,47.30988698234988,49.417894474639496,50.6617854042245,56.96072984525882,54.090454791794855,53.26504977921185,57.59047790253424,58.407531864161484,59.54991988554613,59.356731649930246,63.32800031791114,62.80651660294803,59.53323435223188,64.57724165180636,66.66009455647011,63.65525752038503,66.23171699792225,60.9623114524207,65.10495176568078,66.92889601963414,62.93481026611385,60.8076341718219,64.92438946760625,65.89282265764025,60.436561290645315,59.64570090097366,56.47452857604302,57.75243335787381,57.44117066990274,53.965631930572194,49.450024344127705,46.31282599040234,42.809711310098244,39.21101100895513,38.26622224633783,37.94883677078548,40.217083463812195,45.06055903563542,44.766919336427854,49.58807278026567,51.6346489228787,53.22928509028248,54.33369515245544,57.27138724733804,56.223868392244,57.95275058015942,55.53650876401381,57.882812859590054,55.79371967481865,52.7106717979165,53.1727074943052,52.33996119954346,50.69941139765661,51.10301669044977,47.71664569238526,47.81385675706828,44.127718248507946,42.22353458796021,38.76947638403921,36.29711290586615,33.49221729061978,37.89596687859939,36.69390549615965,37.83060318386001,42.12826076590492,43.55813082192025,46.54003877093497,46.93839450844127,52.17801585468939,48.528624566421726,51.63212572081817,52.25022703101685,48.50135821511955,46.35973170942915,42.50597211395136,42.50176771929264,37.91737543648709,39.38158420161743,37.12110874494386,38.44858950532358,39.9242307275008,41.2529921550489,42.61588644036816,39.748629559336656,37.06827539645029,34.984933693057016,35.526607120815285,35.00646333351549,33.85737570879982,38.605501422117406,38.081872951631226,42.21377409307264,45.36094681145455,49.31605515117768,50.350769120111444,54.38029385014744,55.432007124329274,54.88077117641294,51.9877925027835,47.71573148134772,47.7233964661272,44.71843477505016,42.47664197940761,44.168573969295466,44.653952695342284,48.61489415320966,46.88562945208291,45.5363751420331,48.08097802566776,45.092478686230905,43.135785691039736,41.48028939508459,41.83913004705109,37.84230528146153,39.3410833376861,35.477662782014235,39.11255130614529,35.952003185774814,35.09576043648007,38.514183018995574,38.038662156110504,41.203403061491755,41.829126025142706,44.832362122290164,46.23156836530931,47.25010777186719,47.75909010675124,51.54572891496777,53.8627832487643,52.0622201287044,55.12524532621939,56.848543634047736,54.89596671433848,51.05939381811093,51.45910342492314,48.77281274884918,51.561901166232765,51.702222069866316,51.17323235034227,51.012374396055,47.77404360407771,52.5866927609937,53.96025855625325,55.457789186374775,55.576256452283694,52.288582782519114,57.595789823564154,60.39314837778865,57.64621158051104,59.583929606522,57.50016492009644,62.54330323929712,60.69757586626477,62.70432470375037,63.81686612360768,61.00113673297786,60.86262220024237,58.834280924401156,59.13672949394295,59.44227128782766,54.80948175366871,55.33575873047759,52.38078693523908,50.505830646794855,52.64166218880109,50.4107784748869,47.02202142675995,47.96230420946509,49.740266210849526,45.32337139771032,42.69465142690035,46.119348722349244,46.8017122657253,40.862221795837634,41.41895774917451,43.45852814747255,40.127590026479496,37.15260138093864,40.29061502371393,41.38503844216845,45.430635945734814,47.09906820715613,48.09323554869463,50.45758153943914,55.76053824039134,58.161833270078965,60.69681462537853,61.11770454685601,61.115108125582076,63.83520462531014,61.824353302392694,65.96991739670842,64.67357917305071,58.96316565066976,61.77623487070875,65.19474473574599,61.07037678235776,59.24670323095484,62.86456370980905,62.67976037048979,58.36435597499498,57.81916355032184,54.4550592724387,56.66298823507082,59.433257894703615,57.80597244308319,59.15303323919753,60.49025035098782,57.66811180464471,55.090709097221506,55.86563503423626,55.20650024785429,50.90132385924181,50.485000384428574,51.07631424691197,48.35803443508559,46.45319535961868,50.317146704298366,49.1082386089404,44.40150528368754,46.64129305392575,50.39098633081417,50.56901205395041,54.11567237359448,54.16766777788184,58.04770492379466,55.73850787349691,51.090558215635944,55.40785838559043,56.49867865812195,53.09135348852734,52.895129030715864,58.58503318954868,56.56981005839857,51.89945158517749,55.18544627129516,59.18171018911974,56.60477457110794,52.81059477939947,48.086260277063815,51.07686688774107,46.56181616286263,46.53841774051883,41.92526804931714,42.61708030787158,38.21235857879776,37.87670092691372,40.47380570535862,43.4978598099381,44.84581838834215,46.92906439350829,43.88906113781209,46.888909420965255,42.993516340124366,41.38467946252267,43.13142704868462,45.26444104899235,44.52020144756981,39.51311712024912,41.16372113489643,43.403227932187534,39.61738053720299,37.42959956684106,41.47092329476559,41.34120835520886,40.430290610935806,40.575481328204894,39.78569843489789],[27.244158670818177,29.655274696878895,33.43946841096538,31.067115366279793,35.94196398175515,31.011665642758768,32.52589785467521,33.85089920642717,30.241831000256944,32.14152906413005,31.726207635021336,33.506218115311114,36.69912487970376,33.52626552365132,36.43043181280932,39.41836979630624,39.97660798465852,43.15981236461236,45.719901886633366,49.11880835637009,51.70245323115636,56.19385271737855,56.56835823858638,56.398159810089965,54.430366537298816,49.97847194822799,49.117461425573794,45.21882553526824,44.9011181961303,44.04526751603859,43.430425364264735,44.29080204085308,45.607783154107125,49.38302168058041,49.2823004571768,48.49592494724571,48.87573903683594,50.795182771804555,51.717669918399224,57.97930880908966,54.93960722529296,54.55271878062048,58.96244684583811,59.47899203446329,60.55313504219765,60.02226113095618,64.04582526443484,63.734845696871815,60.142164734865666,64.9997549793185,67.31052281557726,64.46742883217213,67.34304583152135,62.01826499643082,66.42181521810355,68.3926528902107,64.37060782766979,62.460704963602396,66.74701966594161,67.58105267663446,62.23169797935766,61.82570146474393,58.81094131402693,60.138530924745304,59.49212907710326,55.944950504079536,51.56516845921339,48.47500305523028,44.950969295910824,41.5077974440374,40.480678962769645,40.51058587952491,42.90677263826217,47.66324312158397,47.32002453103838,52.43640967132873,54.06245249731991,55.8603137431443,56.61968737148713,59.28798556765165,58.04407128784296,59.38108798162456,56.831258114102056,58.86852412032273,56.63595922918791,53.88500643232434,54.679000201628334,54.066311878942805,52.66788547515797,53.49242591748112,50.230476779750845,50.74113713450537,47.00322766244628,44.98942198497127,41.21804445170231,39.07941456992717,35.90439496551873,40.09647553154566,38.507209422068186,39.43305959293609,43.71848292952769,44.55569604186998,47.65879464951908,47.467506593464734,52.44150461099121,48.44849724138756,51.25479147115117,51.57738738639134,47.59350065488454,45.83114673381013,41.8068903861014,42.207455155052,37.782254107988685,39.30425821750127,37.5923892178131,38.75035666882999,40.69683739005764,41.79341572427747,43.81720877447624,41.13664390037418,38.24161073166224,35.952310616302476,35.869632211017255,35.09388995855606,33.676425569158084,38.095332672591574,37.24864149570886,41.49044903793926,44.50404848504884,48.76303824428822,49.26839831285708,53.37045832513221,54.57350020957055,54.403248611114094,51.3221964491415,47.171207628684755,46.59973415211866,43.96503061083808,41.896976183983064,43.99276119163647,44.566270474886636,48.80939272592748,47.443139162041994,45.93232230387915,48.69737747553024,45.934166718791786,43.69391116093641,42.10392161258701,42.21292045788989,38.215858185275195,39.48755970418395,35.94564724448439,39.62536208464037,36.453768398422774,36.2583317533584,39.57971236739985,39.08143296843275,41.837807264664896,42.74839761362809,45.14399907782947,46.42901651014898,47.947598658555954,48.04570165073597,52.06412659666011,53.90972034973155,51.80719952885401,54.61147061113022,56.13690137070068,53.90234796177002,50.218995503421745,50.717100150735206,48.34469826225993,51.474081390624065,51.866749301892355,51.663563833855534,51.6149066204274,48.73466311096736,53.604232117670854,54.77748263877392,56.06313414488769,55.86332896270553,52.32352559968424,57.45059098330864,60.169921969761646,57.472301941570116,59.80758297521275,58.0542248608596,62.92102049143739,60.89243279527756,62.6588259632872,63.47538476557001,60.71488080112957,60.20935259029418,58.005971001313505,58.14074241070401,58.14316774955872,53.40300308337836,53.82800202919627,50.61934418545845,49.05629938425572,50.86591959752077,48.92077672802399,45.549488683604494,45.97327126571535,47.76360352979452,43.55401570715101,40.5067485936553,43.755163324623986,44.74042589621014,38.738134218022466,38.89052717749838,40.915087444139836,37.92787056227599,34.595556964576936,37.33681281733932,38.37079882480576,42.41944794654948,43.821889625565866,45.16716066284229,47.52613641104553,52.80846605558856,55.01482683609538,57.70714014439139,58.509823519483014,58.69037006354892,61.606514312322716,59.914925495883146,63.94559038979209,62.32463036198626,56.77384803917187,59.829404227300905,62.96724440324908,58.69268525059744,57.14303011050404,60.89722582030435,60.2984133343657,55.93958060822733,55.90868637054271,52.428444381965,55.14831614481886,57.81685350239465,56.12546247291919,57.804026002429154,59.15299468153959,56.64876311362186,53.78916113639544,54.3604714491078,54.07575030957526,49.79408159526056,48.93279259223364,49.62417986292697,47.05933070136632,44.8250224720725,48.46447619363765,47.41822393930052,42.66712441411286,44.481052109602366,48.162309659977616,48.217286827822036,51.91963715021393,52.19978355423136,55.88996914461265,53.26222011017465,48.73047782835791,53.158061320809004,53.88734099301744,50.389114649796326,50.4351219162905,55.950710705054576,53.59255197573849,49.060021307631544,52.580934036030925,56.29676242923676,53.45381611637116,49.738888722481825,45.032547536850366,47.67535494494292,43.10343315150184,43.04381935680695,38.67494482341456,39.75419074051872,35.56176717084901,34.89146056966296,37.70004343805733,40.56509583508904,42.25208672018183,44.506259296715996,41.9586119305953,45.27656178616512,41.66522890372713,39.88068877441543,42.0977328408592,44.09916521898686,43.8518305508422,38.656808549369515,39.830281714197426,42.409495944755406,39.15268308093028,36.21390255389435,40.17546613925567,40.47276468449932,39.6883799189983,39.934925256888974,39.20790253846874],[27.05556125985997,28.905492715894233,32.15558593084287,29.099628462006006,33.82961814491653,29.354064957221656,30.469967209969095,32.27014332096049,28.401585008755028,29.629556014913152,29.390031233561047,31.792054757678468,34.25487637669041,30.618060432396113,33.80652349086629,36.88231887670356,36.90845538157607,39.91773227992156,41.994504147672195,45.606436218887424,47.9222715912039,52.45745333056733,52.57728183400969,52.199246175598496,50.45065269295832,45.997259924842965,45.42386930256263,41.70023678729243,41.76671262339602,41.389143159449205,40.82099037166473,42.153364031511735,43.73803687354196,47.23664675074423,46.9253815030957,45.713300229431255,46.40706599985058,47.741758734342696,48.48885062937105,54.853755462475654,51.402447205498966,50.96638374691374,55.42909505999966,55.74009567892273,56.534545167867684,55.920541395524076,59.90260737951792,59.85726286117008,56.38587253101244,61.18016164207927,63.69206738665461,60.98228645338998,63.96236054318177,58.74126086086637,63.39009620363405,65.07703033466193,60.910419344796075,59.327981383244456,63.602627093861095,64.0719052590472,58.71750234424948,58.504496297394255,55.68857603271923,56.65172485001075,55.88081631762256,52.54063950080717,47.918091027108694,45.125770579053494,41.28918900046487,38.158531595044934,36.80758582297537,36.77755648494313,39.55911309635387,44.157237360416175,44.22790170224028,49.47558395837694,51.027079770683514,53.18888381078844,53.8597854907526,56.36046537337267,55.42335908988284,56.61413006486184,54.47130208256979,56.33431715769705,53.796947821971074,51.16781450640766,51.72501084981371,51.578041091476734,49.77603384593776,51.060345038658085,47.59330873315012,48.176796322515706,44.5834408562899,42.8841404431004,39.003202161607945,37.07968726822142,33.7380783294697,38.36675452243913,36.963319015913676,38.61649418068647,42.21433688658148,43.37551912562441,45.908103585538996,45.94570400893974,50.61093870613774,46.691529265315864,49.754587136900085,49.817208807634984,45.92445987486124,44.32104593337334,40.15735800288739,40.047913023228965,35.56680714654563,36.52383549285244,34.562433798870906,35.28367553317775,37.100889178032965,37.811607525816314,39.746179251831606,37.467726438871054,34.3858809418895,32.35098908348614,32.00014069468117,31.609679514949164,30.671596496190112,35.11530394600292,35.074449080425445,39.09123006277971,42.31732966946863,46.571922643325486,46.95924532074326,51.25066804709782,52.051016946702696,52.09342204270726,48.60544695201582,44.36624646443186,43.72753918418142,40.7528799141781,38.35233826607554,40.423256986464175,40.46750157781198,44.654252404521415,43.50023840177982,42.24989096782775,45.17433864153212,42.72164599205902,40.47565225545117,39.34257843332236,39.818684489845815,36.117837699025564,37.94834813247158,34.785701611327084,38.99626256097042,36.411005344501895,35.80551127773404,38.66831412425549,37.59661095026143,40.379670059440166,40.770962563597365,43.13172292828976,43.79131178602528,45.11577477138301,44.757205200116395,48.91630716924182,50.5532490248326,48.18295055297796,51.22454739498192,52.50247182814821,50.47629678753801,46.71838354979119,47.47865534560584,45.084534016778896,48.431719588319055,49.07506542000273,49.05166126110721,49.39142911999641,46.459525292391035,51.58592976894529,52.31095245677963,53.78242970122463,53.15246028907538,50.00629311183718,54.9426094874821,57.46587017064073,54.573210639932,56.68515985063974,54.7983589874245,59.5155499111019,57.136820911326836,59.154980283862955,59.98774916525213,57.46056123752904,57.079951024624215,55.068488293592246,55.43915955619306,55.6332835018402,50.90125628327451,51.71273060213801,48.725424752364276,47.399740708669114,49.60175723501735,47.918594708168015,44.288955964761875,44.792083317155075,47.04688630126765,42.93163862538207,39.500639456100735,43.16916138753674,44.69376043012569,38.52758415012783,38.712123771824714,41.195568534575116,38.37549669825215,34.78996797480899,37.760793161754265,38.30289217732613,42.88554819670465,43.42225056384726,44.81343096242853,47.570011911469344,52.666639830976564,55.26946179452513,57.661129244250816,58.45679353591485,58.307873655216895,61.139133900935185,59.25332271877936,63.0969705333781,61.522972308043,55.79821030320562,58.67002507010827,61.66069467498903,57.34623460712718,55.6259801330996,59.169554449823195,58.518178024351315,54.155104821440524,53.7935678033101,50.7607720932534,53.531242396383796,56.42543844136298,55.18722997783847,56.94033109405672,58.71537463231861,56.0122391857534,52.95282111141088,54.0730141886205,53.93632042503975,49.39075346145372,48.677464236208166,49.867342281322294,47.42249233362125,44.99345132662701,48.928482223184005,48.247136922933066,43.574287533934246,45.17980596038451,48.990891555215036,48.664268755715156,52.19743450466032,52.10482462954465,55.71730560903131,53.33896823170648,48.46970458588468,52.607058799604644,53.438932365389704,49.92740185162998,49.48475086652069,55.05921803778911,52.7906002639941,47.990708373493625,51.17665907634671,55.0514958333238,52.263974097516865,48.394112649308866,43.70194702183939,46.31591908847911,41.68868709091438,42.23229399335201,37.6361621622654,38.86166849491696,34.78558767720867,33.64390245643732,36.173190724460056,38.80887785891929,40.30524697820518,42.93296031461216,40.135156868329375,43.44461491312855,39.62897948796301,38.70172767739536,41.0464440778812,43.421412161988854,43.26191883174199,38.05514592049969,39.657209887860944,42.48682062738648,39.11079738439352,36.49781374567204,40.75724076482836,41.33878003118501,40.75656357450459,40.89775234054156,40.044049740125956],[25.223180140186063,27.284521552307705,30.979845233300146,28.17559025323785,33.482860237702766,29.41243615109664,31.134800699436926,33.23985083876072,29.863849802681337,31.53303770003589,31.757842233287136,34.083387460750195,36.47085116409438,33.09755459283423,36.674480817133556,39.56904987090203,39.409662067712,42.7457908421263,44.87892048018291,48.32786167284699,50.7751923842496,55.19875522686296,55.39111089397524,54.81420645091791,52.921839025221715,48.52776854662859,47.74849841984066,44.00665043517184,44.26778033699963,43.81900028209217,43.881736036656186,44.800176286954745,46.65793931664462,50.34712694232989,49.754996440778285,48.4928598909465,48.83841191124492,50.13205802694047,50.63016690128754,56.89471271751669,53.403567152031265,53.37152914916846,57.866988350666055,57.954598785778096,58.74128191609606,57.84157422805971,61.85800114733252,61.94922613289584,58.18196222814556,62.79321701972076,65.4593944799973,62.8834295550802,66.09381410059144,60.82741652844238,65.62747099875904,67.50085512782478,63.3597197163314,61.900777909986196,66.30675490803453,66.73704889874104,61.502397898390214,61.57530875907163,58.861206884901875,59.94337662290094,58.92114950833604,55.495142466617935,51.07622858770544,48.27670743987001,44.53014482512282,41.488086148438256,40.1618284642796,40.43328710868011,43.194921397280154,47.71659737617055,47.64908420990359,53.0688341075219,54.28385967533222,56.51588339389855,56.91821064758685,59.21584556042335,58.046476808950786,58.925624965522324,56.587205450125644,58.20964692247861,55.62632984601656,53.281135252276464,54.17666796155647,54.11414061717175,52.62322464490258,54.14354262706343,50.84898545459701,51.745339481761874,48.098482890663924,46.246598351888416,42.17051178282825,40.4745666030821,36.91906972120289,41.22009950054939,39.47037090359921,40.757672785970804,44.47613566158242,45.04970833609972,47.79500841430476,47.265684700861726,51.72521008072839,47.50885682486782,50.22204442643988,50.06231363525084,45.95780767587811,44.69439914816448,40.43936680960117,40.812257950015315,36.54553720571955,37.6611888060052,36.28632261555255,36.93414631115894,39.185414997412614,39.756284744421905,42.284720582753835,40.11052353940089,36.92620126892027,34.68399494687604,33.825946139257475,33.122267856410865,31.84886990155885,35.90118016230265,35.390667229084414,39.509059474701225,42.53208996367136,47.039891419136865,46.94114229348387,51.2376128055554,52.255714855678704,52.61658752184855,49.05583154797662,44.982572750472514,43.80159534970741,41.28108962500487,39.13908224239415,41.58002204370007,41.81307346101426,46.2348367633178,45.387306102769735,43.94690503280597,47.01192375299218,44.71904844003195,42.24239748418382,41.0831983563124,41.24912744041116,37.528564692059476,39.01054113083889,36.09216808415848,40.17316114319432,37.479262734856974,37.52730879724512,40.38498689852262,39.43839746455608,41.830480507943435,42.583366566843374,44.38929439627246,45.07199832634505,46.879115492626966,46.24737400360908,50.55484291446642,51.78932306679475,49.20620746143229,51.9342862776151,53.06097204297301,50.734753449508894,47.16694904466706,47.965628886605444,45.89623748229369,49.49343856143388,50.313732128954555,50.54881709551456,50.90286423433156,48.32198777067226,53.40318133497284,54.04549656174858,55.27832768931124,54.45743013271299,51.02039145411281,55.79728477853476,58.273777795780575,55.483383312038725,57.99649371652961,56.44984731217642,61.00945401071547,58.548172905117525,60.2815186304645,60.828668195540075,58.3195619781207,57.569914137243686,55.36522235005891,55.527173289666926,55.38859493225502,50.57076566810867,51.20979845919943,47.950719251938445,46.89498535204772,48.69172530040475,47.247865736096635,43.71140374757718,43.68831995814205,45.85670975724055,41.95751313900394,38.208182855201166,41.59652629657823,43.315532305327,37.171949079676274,36.94210500104281,39.31112161108092,36.83375869484524,32.974455361461466,35.466693445553844,36.0173402017667,40.48397477202911,40.877853231840945,42.6192162391739,45.28929718823256,50.37354296044585,52.712821331006815,55.29874227624597,56.46573673038252,56.55879240160926,59.58744806850468,58.05372538801063,61.80582319731778,59.913253191594656,54.399204127100184,57.5295908783996,60.26207839742136,55.822005094922545,54.410781421012565,58.111272879325924,57.06489231500423,52.675572258285804,52.88331088433376,49.67086030232464,52.915759061318305,55.657691902872,54.276578602306905,56.323152008848915,58.01517599181329,55.66732981828213,52.397879900571795,53.211932987383484,53.400143402215996,48.96163142995604,47.80218461525294,48.98341536339013,46.67765758804756,43.99422546656128,47.62896389466508,47.038733194839295,42.35041352578347,43.56907959383087,47.26207900296614,46.88577261077812,50.58014945850001,50.777415737805306,54.202432517128464,51.478261876709986,46.81019920562511,51.085197364592325,51.53702894858731,47.95279561432021,47.84085391266691,53.20620356386373,50.58399472590741,45.98823852395143,49.45790904186719,53.005505010582745,49.94334956778152,46.19376590729555,41.538314117646586,43.77352715197345,39.11106409887749,39.52349130594022,35.24716629937578,36.85817662686879,33.02145992278067,31.60232018249301,34.38240932475404,36.8650338013623,38.74460499796007,41.472118039163284,39.24806523294694,42.8434218513545,39.38294626683908,38.13129771913935,40.88298137292512,43.03749190420357,43.32589425518579,38.00334249776578,39.05318767656986,42.1263782281749,39.29586794862191,35.96146168285403,40.03353690251035,40.94666753555866,40.45367755444692,40.708066006364895,39.93281812576882],[21.187563727221786,23.438743879553996,27.34020330632539,24.90448838753386,30.272103583941025,26.018421510765776,28.063352193068194,30.056398521908665,27.01238088573691,29.177905391709434,29.595786930346033,31.63034723360737,34.224351452825765,31.269354845293527,34.95681495300684,37.65704854978249,37.64557049029697,41.2976151605008,43.80808040884728,46.967417130287664,49.70809780290993,54.003771568284115,54.46774644018835,53.95496161176777,51.76357696840056,47.41932366894899,46.27726265552883,42.40417896886674,42.52370769864614,41.76867976111859,42.27525588842187,42.67142140393069,44.64549109708089,48.57158258882545,47.82953288179061,46.728494199199325,46.68121312456232,48.25048060836028,48.71718568479401,54.847482495786366,51.62965628958828,51.84718591171309,56.31176468702643,56.43272396011691,57.45769264187392,56.50743133226917,60.57282339846404,60.47676618760741,56.48506501806526,61.07230388804326,63.624616827466625,61.00299366056065,64.24486850143046,58.89357227079371,63.60888567408634,65.77049321459626,61.75170216914024,60.15584878101375,64.65041400077271,65.29959714873971,60.15940022108902,60.32283004032882,57.574783035820786,59.0067445711202,57.85299293621584,54.213351170397466,50.15186430429345,47.1385425844862,43.709025507148716,40.53631183189883,39.473680319366665,40.12163463828134,42.55695522265517,47.09430830788778,46.606541975443115,52.11839450805441,53.03097585628954,55.13423544435356,55.33697098130261,57.55434128140836,56.060530555479396,56.81367098369109,54.17019245963526,55.74246708076674,53.30676135913028,51.042984184839284,52.2636374229808,52.01994042834158,50.9543210369609,52.440529621425995,49.40055854838996,50.576228524617605,46.825536556114905,44.71234261905251,40.50919362935377,38.976859114815994,35.2938200962988,39.14342416654848,37.086258468046225,37.95857004508422,41.87978487245755,42.01485448568889,45.03351810788875,44.14975821199016,48.63147595205507,44.29335119421498,46.802898352462016,46.70395730593358,42.527187695620086,41.26185585175989,37.053655303400326,37.78154913799559,33.62213586553321,35.094735172487574,34.10019801355663,35.01617935396162,37.54404268366396,38.3742396233783,41.28249092351273,38.840579746017625,35.754588511669795,33.20076695484817,32.325946860808074,31.190725368685726,29.469785982232274,33.37964723275594,32.28225721641737,36.532900850726804,39.39491823592319,43.939568579772754,43.8380906328628,48.02158302704995,49.2969085957207,49.58205589744993,46.25749868631903,42.27785854738551,41.08451908312245,38.867084343468996,37.043734562463925,39.56840907356946,40.3369739839156,44.864194026617,43.923699272597254,42.18728928143128,45.17147950445989,42.74005962923209,40.170379455083314,38.722934221807854,38.560327857876345,34.71046722981591,35.82232907758651,32.90719487277387,36.78464616959267,33.96971643935515,34.4281104684396,37.33383195931392,36.603271128396166,38.77273563777649,39.884257128442066,41.44441635775177,42.443752868053124,44.548360205144824,44.10175365467897,48.35552948897071,49.59618307799445,47.188107615500876,49.65508052499131,50.978046050673846,48.45453224409078,44.96828239731032,45.54931029027181,43.549211341198465,47.03570413523558,47.74619980775297,47.971824867129726,48.13724687646338,45.75134671894318,50.68687790946711,51.48746490726646,52.52419974460941,51.85575410337143,48.11679097735036,52.94398101931383,55.520448311528284,52.8812279010866,55.64867315529298,54.317979442803455,58.917851023822244,56.71614690673416,58.15971339866107,58.636079431076524,55.949358387581725,55.05204859224867,52.688591984755675,52.67005472435822,52.39348211660477,47.5752042672547,47.972881730831475,44.59756406458794,43.410172648030425,45.02207505217162,43.46921661793167,40.042135766814305,39.99012099699977,41.97262039096148,38.03274947415909,34.4442337349631,37.69743358867823,39.22792003896007,33.121459721669794,32.923627859373575,35.18837495714096,32.63701237016315,28.849327787471985,31.388777095378675,32.080858445266905,36.440652762727105,37.18127245482916,38.772823504347635,41.3334496918807,46.49289910656757,48.807710932646266,51.41713922828156,52.48130959931932,52.63263453874804,55.66088162644656,54.15885657863058,57.99393833674312,56.12737832866773,50.64822796111227,53.8320655061296,56.67148658057556,52.27390215911952,50.89603595296069,54.6942197517484,53.75134648829181,49.36845113829709,49.67689824938115,46.21961424348357,49.40887682111283,52.04419917254836,50.47291931230875,52.498834707896336,54.05360331539505,51.7940592392651,48.56774911849312,49.19370746946092,49.37345672150863,45.011724979100926,43.77236060917893,44.84254319906696,42.531210407237886,39.85842090824481,43.43307590188749,42.796472275000085,38.10005544890718,39.34364235317884,43.03161148432721,42.72269299114927,46.43951165294681,46.70680519050434,50.170961925776204,47.42158651213597,42.81572191125854,47.176798530453134,47.66028926156952,44.09509534655418,44.11488799629273,49.50661972673397,46.95191094739465,42.41498317212546,45.98521336590822,49.55209827756674,46.570517440000906,42.85795884947145,38.173548785059246,40.62861109421366,36.023033478531026,36.120767310788544,31.798838012208154,33.182847164238964,29.225849680862197,28.13056713071899,30.99683692396346,33.689971425514464,35.568801816365564,38.02933036978069,35.86957154618906,39.451239033281766,36.11757566041959,34.43147072081752,37.1777761511069,39.174146317090404,39.52695059927619,34.1884439501978,35.03030857376858,38.08856082303302,35.42732690592599,31.876385685412107,35.8703595134791,36.82960710491993,36.35504266214855,36.66771658076735,35.9567250024095],[22.534623384036927,24.554778730342846,27.945618435430234,25.290956023709644,29.992594508132004,25.162322304229114,26.570753581686404,28.16534139858151,24.574765748360186,26.407590829442174,26.328094480425978,28.371015924891047,31.176761558405957,28.01851326410777,31.321955254436222,34.19675774285475,34.46190818502467,37.86558603839754,40.4495994315749,43.71948356546903,46.41410342733968,50.81442748342835,51.27801944682372,51.00458482390614,48.882472824627015,44.469243747978645,43.448090394545765,39.53462187709625,39.382554245506405,38.60255936348901,38.51771193042805,39.22253595646051,40.921905949029004,44.7340062861538,44.270652521811726,43.279322788178675,43.510385035153284,45.22803940798766,45.97549629925116,52.20752207862176,49.103775913254744,48.93425778816194,53.368893679266414,53.75417441728455,54.85684454502814,54.2106089413955,58.26002254033491,57.96047173974528,54.22944970207049,59.028766422851874,61.38253953570343,58.593440634107495,61.58916685999884,56.24989021464163,60.78184187966506,62.81951737737633,58.794972981403426,57.012540445690945,61.39829715224836,62.15744869805466,56.894486585676106,56.757484000825144,53.87388081737084,55.28253163608186,54.37259560090861,50.75406326479864,46.556310275478204,43.468926279011626,40.02302026976717,36.68498510557168,35.67781535035669,36.116151313468,38.47271922480357,43.123891064853915,42.65190705356341,48.019807926052614,49.22745389442267,51.213516577271875,51.66570446805541,54.103063725457126,52.77005483263958,53.8484351307637,51.32416447172103,53.171953128710264,50.82434943131797,48.245134988145,49.17911031484717,48.77535980593606,47.48056989488844,48.68482262712146,45.51357023358449,46.422749870813924,42.67757583467662,40.634466587632765,36.585772761095704,34.82272285889854,31.309622888160057,35.42483974840084,33.65155529904197,34.81739626269633,38.717080722475856,39.41190085351365,42.29472062283003,41.96898778751842,46.72904643880154,42.68667469797557,45.558557257188106,45.74102437942518,41.780127687191026,40.10593107273789,36.001190967466094,36.25915691347155,31.844123307439535,33.2492714358444,31.66600823428409,32.76162033636112,34.88758732847464,35.963674352615605,38.32724159183872,35.66624422905745,32.70946733095577,30.27026151433043,29.973401288672115,29.060210061986133,27.58302832520384,31.95289825674922,31.24107915674931,35.43328723650552,38.50446873100191,42.77941669131549,43.24557214379985,47.40369969857466,48.49798341980202,48.395217597814515,45.208686045343526,41.0476897167197,40.47611412864782,37.80223061983005,35.754585885736034,37.88860190757066,38.591386309132275,42.90025211672147,41.583745129636476,39.97132636233042,42.78591407759606,40.11381298608316,37.768786844017775,36.251341968829564,36.352436178893996,32.44897422225709,33.87108350457763,30.61958680835285,34.61993310806146,31.85886226052307,31.649780685469068,34.62662893872268,33.820611558688725,36.412851546978445,37.22017717851989,39.38013668266568,40.45730427972574,42.09778893726269,42.02285581092357,46.10962192604696,47.820084661537386,45.690504746117405,48.455625950461254,50.00078717924791,47.762651840828056,44.07259465261769,44.55545948485006,42.19425060405471,45.37650895066794,45.853704565238786,45.77581930717342,45.866317577209145,43.11355252966843,48.08137423455276,49.034475052900085,50.29361769273213,49.89236122542444,46.38958129478557,51.43295715843997,54.098595200243146,51.37598727535331,53.762236245642875,52.097456449076574,56.902694035863775,54.858650746922166,56.551251291673545,57.331769921475015,54.5734324440845,54.05382486752203,51.86602592067223,52.039578677507045,52.10609889551916,47.37583746334743,47.91380314672358,44.81912680179061,43.28248131963844,45.32075549579102,43.456084241777276,39.944458925990716,40.5054558525069,42.54113959637504,38.33237534284938,35.16664913191381,38.712556890297364,39.95814862536801,33.842112717928984,34.14898172756588,36.51124349485813,33.534831348769785,30.116449567786812,33.221664903812766,33.93739546456647,38.382320834147805,39.36663520674636,40.519510546688416,43.14433767311512,48.32397326659219,50.932301779725904,53.31713712251654,53.92996547007293,53.82584351383957,56.62887348564802,54.733906006860366,58.693540084583574,57.196019617633084,51.49036633223394,54.391305498962055,57.55018019830687,53.30662142545409,51.58683676398974,55.22908323603458,54.757816422412944,50.40826789684201,50.0913650476715,46.78132955637148,49.41075637552929,52.197385366229184,50.73775619950312,52.41854106620488,54.027147240667425,51.3809131025616,48.408727562097454,49.337425813963264,49.13074932414013,44.66409848033675,43.926687740129516,44.96887252554999,42.48445856591255,40.12161224828002,44.03169998662328,43.264720553625594,38.583173016039694,40.30031176177168,44.11749007163426,43.89312709927567,47.42582075926253,47.37945279080929,51.07078065696703,48.71261724963928,43.900028437792216,48.12059812521685,49.04714097086873,45.575015675354024,45.24815030706072,50.88013789373126,48.742231775566786,43.99506183013529,47.26020813773981,51.196797778019146,48.543160789079046,44.709734672546524,39.989408072428844,42.904297571185374,38.366296779104275,38.553496359400874,33.87690408892497,34.76412736252075,30.50792471855096,29.812850072899508,32.39463607046515,35.30043088749107,36.73534946413354,39.0218120280923,36.20867220236838,39.454799695739865,35.72795074248339,34.30525974927312,36.566239645331535,38.785979513118164,38.61277456148711,33.38789548339573,34.8442093324602,37.60586378954912,34.309811335437026,31.56894379095832,35.77384419799319,36.32716387831653,35.74713507996033,35.93792078798834,35.13568116796841],[24.13559576313671,26.499229096069495,30.026417935877586,27.908368919858205,32.2721156681679,26.822224497213362,28.169816648740156,29.04632853157501,25.430606279330924,27.59349338690262,27.010094528671782,28.442130567696577,32.002163842045825,29.170247658733032,31.878839178175113,34.75841289824432,35.66831156244363,38.98964998050569,41.97944252065724,45.12528113334079,47.971642935781375,52.374770113052406,53.03031517560779,53.07928384004608,50.85592509900275,46.43827755979337,45.28637588390565,41.251824318929046,40.60430325534588,39.41341399828916,38.8670959792106,39.37732414113263,40.625521778986545,44.56722767612599,44.48934473784403,43.94846929316233,44.10273106223397,46.3990126123175,47.47266240421472,53.632945219301575,50.96205895370914,50.57880318305316,54.91669945077911,55.63710014887228,57.000037071909,56.615215080941624,60.66213452108516,60.029546868887316,56.39258540622047,61.343506002173015,63.40136502455789,60.41629802630828,63.15314931413862,57.76873492536757,61.95153511185963,64.13006873029083,60.24166757460427,58.07808920016714,62.37434921185655,63.49967081621227,58.186988889014394,57.687981892683474,54.56309182613826,56.23968722228791,55.60756603613865,51.86439664940371,47.79342222916947,44.44417537732836,41.26744402289806,37.5980455772644,36.89877521892581,37.20339667836122,39.1788865728511,43.996130148935976,43.21406850147078,48.32254276484183,49.80282553990211,51.38828550929736,52.09104191400853,54.806207992105634,53.3352042652564,54.74928689331496,51.97535407789447,54.141250101619576,52.124378058811736,49.25691711505186,50.19128597331435,49.28836705912105,48.1867101156576,48.792965324956235,45.72483891587882,46.36565070288168,42.529791649632394,40.28630030699367,36.4914242086361,34.3796963187546,31.19734697774348,35.06516475317573,33.351364002777764,34.03574256229992,38.51174113720706,39.28536108343299,42.56305963304296,42.40248244239111,47.568741435561606,43.68495133616649,46.5278337847319,47.106235205874356,43.23397500004225,41.19160215528096,37.32527798633668,37.74081564169015,33.29003400652457,35.114181120916115,33.39769940652979,34.944397223110656,36.876636074967855,38.39391181338321,40.428538140865655,37.34635698771861,34.673344206647904,32.16439415069724,32.46392236881811,31.41325386887157,29.733601814702425,34.26375795910967,33.111143641553355,37.38917006294841,40.35859700676907,44.42690979375102,45.323002700514785,49.26775159111152,50.58534164238671,50.074162422148625,47.34169508433024,43.19218882653442,43.04408824893294,40.41882496873347,38.53538729077045,40.42519277584591,41.48575514975642,45.65301264189201,43.95507413347502,42.23870076056945,44.78519868262292,41.7371033764383,39.574257075813804,37.65213434128114,37.60640978302759,33.472438385229765,34.56917691512026,30.802283007448764,34.32991281692897,31.079451731604603,30.814351945528752,34.236071435791715,33.91992895317039,36.73553786697669,37.79750914798597,40.35182375736107,42.00575409769197,43.494547627707874,44.035115378876256,47.858041811449525,50.01632617471401,48.289114692285125,51.015935715898316,52.874101199008955,50.65416747093863,46.94137972496145,47.15387513492633,44.62380557735676,47.41069984799963,47.53092268979258,47.11109106738204,46.82045967964206,43.900612090516134,48.62109469024635,50.05214582189563,51.28603996802507,51.42132005327213,47.76278866322956,53.05908982589137,55.923179566369676,53.33207592840491,55.65091851556374,53.89964869108467,58.91926366377751,57.26524841249045,58.89857996367161,59.84190984673078,56.87350840483068,56.47917320504954,54.253709148921196,54.34367161482045,54.4480516655063,49.79799771250266,50.08898374443437,46.99377238454611,45.07049219709795,46.99671293202163,44.740472079365496,41.439692089498095,42.274580930361545,43.91737114593421,39.509633744754254,36.95491361697092,40.25835805052528,40.85678214440324,34.9397797531086,35.496886096257604,37.483825743927,34.142542499839166,31.196875821138928,34.377283365621686,35.53362140231913,39.51824357164671,41.377954477774956,42.2494440210732,44.548650997374224,49.871920739081986,52.287101354018624,54.80009456161097,55.16405042329312,55.198463304649984,57.93393062610439,55.9892509874297,60.16374909902364,58.84214497262945,53.18494908304815,56.066650146084655,59.51547562136863,55.4133052015028,53.65612442792206,57.36495461686189,57.205265265408585,52.903135819502445,52.51727956836823,48.93850188721985,51.187209402915144,53.85063446406645,52.07393518498894,53.47860828434236,54.736777759345145,52.05165520634354,49.424416270340316,50.04390949742384,49.478761812411705,45.212085168937215,44.64602607684937,45.22073388687975,42.540830066168986,40.55494582987367,44.37173734115908,43.20603670832239,38.49003308574725,40.66239154975195,44.41787748474,44.580077752202314,48.136465542553964,48.2362890010421,52.107112105643665,49.76727169667172,45.15973137928754,49.52631434905088,50.60818020533383,47.21839167937768,47.12220786602845,52.80148626213304,50.82905571846537,46.2231803765314,49.58385547896511,53.56194602708449,51.05351149536031,47.30775356996865,42.5909421633817,45.74277846390214,41.31542796701373,41.0467408761937,36.42327758620496,36.920958112541165,32.45979811908694,32.3884542899685,35.02581490642414,38.194806973653314,39.54490899199577,41.4031125157864,38.48405548383085,41.50833251051358,37.780745123888266,35.77978697230224,37.61355880547424,39.60662204908883,39.0362903112918,33.95467923171632,35.3705184933937,37.6975412891862,34.1545679677453,31.6385688603032,35.654030951562945,35.69699562041745,34.867995610486325,35.069577949659795,34.33087070098731],[27.879308999842902,29.78474511552634,32.767915728738174,30.010335737445054,34.01843754453497,28.756725931665823,29.41517711384612,30.422637372528065,26.24577689449271,27.492811224619967,26.56986501852014,28.50774731772996,31.627708987408802,28.173150797562325,30.64731015234286,33.80156032393268,34.510333263143956,37.32692663308156,39.8335956949945,43.349604179547015,45.8091339894683,50.37586011056359,50.70923541224641,50.76273632678543,48.91138008043931,44.434020237572824,43.76008872238117,39.90533029370203,39.385487983667446,38.64363890032465,37.40869235737757,38.73781827328067,39.83411808757381,43.363117332508395,43.48588341924747,42.69731793741257,43.46235108384237,45.35388266464154,46.52522325717607,52.859878391963505,49.874522821200074,49.06693358601151,53.417347550646525,54.168602102275266,55.26995826410877,55.05558768023842,59.02702152146539,58.539835687678966,55.275003175469,60.31463323051002,62.434212564202284,59.45771236196808,62.07593159301567,56.823947845754425,61.064039368954035,62.82395214437251,58.789108827982695,56.77266466229757,60.91756332612086,61.777460913368465,56.334125607721184,55.6708819300929,52.58428608208281,53.80776104520584,53.377579053686894,49.91627650767279,45.389257206424816,42.30597233720515,38.74352088591061,35.225220221307396,34.213151724192336,34.02949461389273,36.37687752864394,41.17584507642817,40.928903393116684,45.904712655100795,47.78523257318098,49.55234491205008,50.529720124202214,53.3578741143211,52.373928359583864,53.99986748596845,51.71947692841948,53.98350013954222,51.774457492094996,48.7441303739821,49.15940495442032,48.51586388694856,46.77376314293715,47.43340091568791,44.00198288435381,44.26802328909662,40.59988083002274,38.770455661224865,35.163654979249955,32.86953002094342,29.872424730231447,34.444536715317,33.262283970042674,34.77759995280196,38.70615019429189,40.265505770067676,42.96657103383744,43.46696748191825,48.57138612504688,44.97583349136997,48.23334038428857,48.76806251622824,45.100918605156764,42.97399279129017,39.07937289586018,38.79203324325973,34.16343634804064,35.4114779017842,33.023018135175725,34.24896050757297,35.681181336730944,36.95724932371381,38.335584917824015,35.52647899868113,32.797365627096205,30.736531362629215,31.25386351565218,30.823507179595627,29.830699994200003,34.638683311591606,34.45521514780883,38.47644924524028,41.72979796955795,45.63046038779036,46.71612941817081,50.801587310321665,51.669242278113316,51.13613028213288,48.123447282203614,43.8051832723282,43.91103853323689,40.73053326133964,38.381183531180724,39.999079156074465,40.399975826622075,44.32590634435313,42.595913606516376,41.29041891645359,43.86129726272738,40.94592206945993,38.9874287853572,37.46908552420081,37.97363098027135,34.09355108577939,35.86701904860679,32.17628236212037,36.11778281428261,33.318370285984635,32.217264175005944,35.3636181839751,34.573298095463855,37.753489952994855,38.132010089866185,41.133423342044296,42.28904493396756,43.22168645188583,43.60764085324985,47.425281668521265,49.71656518324346,47.888480911401984,51.041866566832404,52.750810641855836,50.90135929328955,47.017682426649564,47.45527894075185,44.708876184090556,47.513134698358506,47.711540576744746,47.230421133268194,47.22130592891141,43.96049950003084,48.893601540398194,50.07447321722985,51.647179581524064,51.60866679480039,48.48499226093471,53.7361404992926,56.47055121647518,53.65218568706924,55.48847040550184,53.354420671459145,58.36821399938431,56.454859490496794,58.53161360711338,59.68158773633238,56.918005564782895,56.8663005016806,54.926856172558146,55.33765781034065,55.77717668219027,51.180596943496454,51.87435273100511,49.0807703219097,47.22603214093317,49.624557428688604,47.45394525569879,43.934230908149615,45.050667633711896,47.05652618049926,42.63844291696073,39.93938556319985,43.62845148692246,44.51784488887578,38.508505566952415,39.211707678342805,41.51955510377591,38.189628543775484,35.17837797333,38.594279983819256,39.42890768788661,43.77528100640464,45.07252782770088,45.930893195832546,48.51349181023374,53.71378810247373,56.430116424161454,58.71715705844607,58.98850416254144,58.73780681576883,61.348491430123836,59.14371203754596,63.21879775233434,62.04559396394141,56.20105854848646,58.84997466519178,62.28099123024793,58.192203257512624,56.20294337492736,59.684151650178265,59.615433511734715,55.32031874809296,54.47051562163045,51.32656158344659,53.413194369196226,56.31066515036991,54.923938334045005,56.236175699190206,57.80655777183642,54.81577597310422,52.17930930497714,53.30298703000998,52.66256529269175,48.1965062219255,47.95117771278717,48.82589923459973,46.1562946120828,44.192846445781875,48.293578522820965,47.2911397245501,42.64851480313738,44.849061964434654,48.70154034395398,48.666818582529615,52.06053823826757,51.82572580311391,55.70981787968978,53.64491880890162,48.768292746228376,52.88754134437642,54.15313521232487,50.77554892447616,50.24234302388969,56.01846038203633,54.18777069192913,49.340450682387534,52.374317097876805,56.55118527801355,54.12729424113638,50.23616009963053,45.52101405634521,48.67962305286896,44.19603273164042,44.433670309861405,39.60418587694676,40.171977537696165,35.748949966249,35.35325135625893,37.72562851272022,40.727341105510874,41.84362574574461,43.99217282980956,40.68083383767889,43.57933390492778,39.5302299470343,38.3513770975965,40.05699775649382,42.41311915568131,41.63955251784652,36.65345499921518,38.637475495258606,40.96954873229514,37.041979446247936,35.169513026439866,39.416498450587305,39.41467996627505,38.645631648748584,38.71544005801001,37.84807530159822],[27.34619850098576,29.516186603717703,32.534324175727804,30.481234505932793,34.016291245472004,28.075867733669345,28.738308571665716,28.8870629210237,24.89275537536029,26.73186584840598,25.388357942689062,26.44683130215135,30.471255794549396,27.69525962497253,29.562597647768275,32.54867824418369,34.04418761699234,36.96617039479906,40.15240073053454,43.29309977083296,46.10699000304586,50.550807638346164,51.280242514095534,51.712171817928336,49.54961390057434,45.13814422403711,44.07549698613345,40.0353443324012,38.898326729908526,37.520582333362306,36.11016903277418,36.86228074692447,37.55029231590196,41.36074147718054,41.78367140454513,41.585515479419314,42.002875153808745,44.67471021929654,46.162975318518974,52.29776086808509,49.96323703032471,49.10333100362536,53.30661129695487,54.42723077865597,55.95842390685914,55.984304885370854,59.96522542177385,59.004484017949615,55.706893746400844,60.867148051122385,62.59129396699676,59.39358642743074,61.74818539640579,56.41511119079034,60.21757323435688,62.3072889134476,58.51129562031115,56.01471692317781,60.11274402431598,61.497991327558196,56.09330978319655,55.12551622812296,51.780653820173384,53.53569235186969,53.293637086570875,49.565392639086184,45.46817402010511,41.97521389215148,38.97261655581734,35.045829699231774,34.5801312051663,34.57842906715775,36.223576101437146,41.156027722569334,40.25391613326898,44.99871274405017,46.914916214050535,48.1633775254148,49.24888245875636,52.29476418094965,50.95107760558154,52.83859902493997,50.11833964876501,52.67926427007588,50.919404006839876,47.648265059920455,48.26865497761656,46.986206152889864,45.74263229316782,45.75136566901395,42.628829715802,42.82769786040096,39.00622047800007,36.77785601522247,33.370337340194254,30.843065876316835,28.13604115412074,32.08204314809244,30.77997626870901,31.54413881049972,36.16463485919516,37.57653805184258,40.81241520997944,41.3180156782196,46.83587524999972,43.389703913712204,46.52177322023211,47.513173279899746,43.956535342448845,41.43092249045098,37.85723906458904,37.86794674557654,33.29859834827685,35.16165807211,32.8680046045245,34.72832236347944,36.116204288525296,38.018583862511846,39.313268927153956,35.901548629250705,33.57787606159804,31.24923594430891,32.373452562208065,31.523847616079124,30.070291284152518,34.91347931474099,33.99397235656124,38.111595617381795,41.159826485994245,44.8038685105723,46.37248394553927,50.14718415369888,51.35521138407,50.33275420660933,47.94917132876315,43.71652504277433,44.29944951472444,41.33595816735229,39.356441438478,40.739633563758396,41.850480138565835,45.6625478498794,43.484010734078566,41.885602485148155,44.09773607416841,40.71736148850129,38.9136069103497,36.80224549596927,36.96358733188116,32.8103771811247,34.048482706335804,29.844484483286852,33.16257389757429,29.86126941002265,28.824098764389035,32.42741331532534,32.269082307285025,35.557590577532444,36.37962150099261,39.66208123066006,41.592393066585885,42.51719210991237,43.67189953009533,47.14651867470968,49.90818242022409,48.63167112489676,51.57928896448431,53.7322675375854,51.812523422024384,47.967429779052246,47.98761107510614,45.10726161366603,47.39773388937548,47.1468695603267,46.29290515072578,45.77324047958028,42.45856986482156,47.019762574522204,48.78957341017469,50.22108739436047,50.841441608439204,47.4164781931351,52.93774346619653,55.92416582983414,53.339292087105605,55.228845930974565,53.13830961878303,58.380745807457245,57.053564174496366,58.88345030033713,60.16676824255998,57.087381113549846,57.101522028658835,55.055833400498095,55.292963140915354,55.72489970842064,51.24744376954298,51.57748538526944,48.78519202010112,46.44867091634835,48.68976115691736,46.05587201723287,42.81853006242694,44.27824658557194,45.80830647402755,41.18521740884925,39.26252030231111,42.668384670986185,42.797820287806346,37.0828336412207,38.13569214948705,40.04496965140602,36.31021151106998,33.91427855860528,37.4941908337469,38.76593524878419,42.610676808795,44.88548211105766,45.301092005805344,47.52337408015904,52.83624439778295,55.41925984401934,57.75069389120693,57.63574973297303,57.485003985919725,59.96565793418251,57.6668766232358,61.98302062500603,61.067793322045105,55.284834213966455,57.870475927120545,61.66845492324477,57.79159179589259,55.73790003471398,59.285711147017444,59.65120956361965,55.43984340634211,54.48371676482857,50.996421312769954,52.57747341978139,55.30225632755911,53.54354597423925,54.5114662068152,55.67909806426554,52.64876396985267,50.42783666012144,51.212957959206115,50.1621466904177,45.9427086535367,45.922298270407275,46.29602059622393,43.43668903425834,41.920654367876686,45.93607068132079,44.53640100816113,39.931248771413415,42.63744312713713,46.41531490955996,46.774843164139504,50.114529548941945,49.97507167602276,54.05681422587562,52.106527279622604,47.4501032515128,51.671201813882405,53.18072573555092,49.94244051600158,49.61838304033556,55.448299493628596,53.90959926277699,49.223309122981625,52.309234040444004,56.572863367343295,54.41146248561178,50.62993995082658,45.944737382008874,49.496019488950424,45.201300080718546,44.88705181076098,40.06910670932574,40.05607511337425,35.40304374322352,35.819609823702244,38.18695705858985,41.53582829096932,42.47929980044972,44.02955689238055,40.58373350033045,43.167973235412624,39.17787175721858,37.27060969364958,38.453638696187866,40.52207428616561,39.31328894522009,34.54848937155961,36.48744962281462,38.30684116736987,34.14949478536312,32.60545101656333,36.616377355769366,36.07409522573428,35.07633880821303,35.15209893114332,34.37084672292973],[33.03951782530534,34.926937533332776,37.53077112515933,35.07637749227117,38.185957942993646,32.34164293023046,32.33118300903174,32.34684520094636,27.910180870194623,28.854591930418298,26.94379645352086,28.20757523892062,31.97820498841235,28.764210389641278,29.939010120297947,33.16089018155517,34.745249708781024,36.94675614443478,39.72221564807459,43.17436873154942,45.566908613853904,50.145862096414085,50.590474572794626,51.20476723788027,49.4531617130467,45.03475583202553,44.47808750257744,40.65336984335538,39.4192609423475,38.36921256691965,35.88247131577925,37.50043419086341,37.70406905202087,41.00612333973353,41.91673845053669,41.6946588616701,42.79028104937841,45.26415707977775,47.01913990264129,53.23465879604701,50.79405833586079,49.34087537627527,53.453791842106696,54.779080459271306,56.12884711183128,56.4867028484633,60.34011900098226,59.38453899071204,56.59472563224998,61.880191976297304,63.511819497280754,60.25293723673655,62.31511868652572,57.1609482771367,60.80368465986391,62.46485969288767,58.60427662867674,56.09215644424696,59.92028112040965,61.186045871172105,55.646450791450285,54.27122193917898,50.86067380213616,52.204198040217456,52.384922980684514,48.96956209005964,44.4508227663878,41.18071161546045,37.93123130612182,34.06978380330231,33.42895507892841,32.7199520546484,34.53075460085124,39.45568100139799,39.03905845994463,43.35926547859171,45.935942005872896,47.134892116523424,48.70918064351195,52.02548334586853,51.20446414396065,53.51261736944879,51.265681684334396,54.076762933772976,52.29235920132145,48.72619408217686,48.73135020279718,47.49125156301993,45.608326388989695,45.31000525073403,41.84795399263211,41.381966177301294,37.78050851330861,35.99323937218403,33.08575356456738,30.153511209956307,28.01540529470612,32.549524488342556,31.97824748233838,33.42494549455634,37.604457537471745,39.93291218894635,42.65639407954533,43.97490198397403,49.535965806844516,46.516602662857615,50.02740497357883,51.12713308293652,47.84984181153397,45.129355333461774,41.67121611232865,41.034989283468185,36.35827472753037,37.755514196087134,34.745523124077984,36.41569479144784,37.1294665808944,38.93394303974426,39.28721938262133,36.04174150585244,33.87095857810699,32.08761844929153,33.70237992195931,33.476193399090164,32.69087712321954,37.763770234469675,37.66321339521672,41.493686113164365,44.744354234972675,48.093986943025286,50.00140199914356,53.8032446504693,54.63124430790111,53.42974089132998,50.96510717515715,46.60934700794307,47.6010264620254,44.13247590877453,41.76691383209834,42.747815041108595,43.286684446851645,46.71577460038706,44.35609083933277,43.19217508324876,45.26703804799449,41.90711870369925,40.455469341254066,38.64091326264526,39.330885751767156,35.441130030776044,37.22110468211261,32.9825994174441,36.42987249628694,33.47594675519504,31.531229168419973,34.94063334490498,34.50797936658573,38.22569261712996,38.39799686083514,42.295182433407575,43.918024435326295,44.14529481228721,45.404276374093925,48.69859911238397,51.77982250272851,50.58767572129687,53.94226528291909,56.04565271120344,54.53623456120357,50.54160655778667,50.690160764965036,47.549427422473954,49.66301832202225,49.33993532527423,48.269587490894686,47.88305371393908,44.15447269603714,48.75707056601083,50.46654170983077,52.24712513338838,52.928538094246335,50.052358266417116,55.57824444883805,58.48700295104603,55.74012847865573,57.05527923051224,54.51713210198723,59.80520082093621,58.389560619106824,60.66587176947943,62.237932673963705,59.30864530734125,59.744225320321895,57.998137189768386,58.53163491875024,59.31520408816175,54.947482187181315,55.584432996928605,53.101084828656916,50.71776840224294,53.35186916245227,50.68529138030192,47.34281487947242,49.13540003206955,50.861796516484304,46.2026931070501,44.34154713696747,47.990598720718474,48.18440805735071,42.49056766884517,43.71475026380018,45.77656336791147,41.98333932436826,39.66311503284747,43.40784728606824,44.52521556206323,48.53573689426847,50.560108520766356,50.911226135138094,53.27522688228146,58.512456833888386,61.28072318591081,63.45761896376844,63.194288512331426,62.83804291938737,65.17437203591689,62.625991501156506,66.90657622037966,66.193870460828,60.27703632910347,62.62719885142065,66.49162804194088,62.68692847935151,60.41474928222737,63.75469830142631,64.30574011373288,60.129166241494325,58.721521385236336,55.57673455166618,56.86467352569784,59.75506102247673,58.26674770184874,59.03624063518969,60.36361065344343,57.040238883104344,54.96328424275402,56.10809100932767,54.85469671928169,50.56119559995508,50.907511425686444,51.38563531046301,48.49104256946983,47.14505405639118,51.34636673266169,49.96188946184637,45.45204216284612,48.30590720957478,52.120094926713016,52.434098485042014,55.624506099154154,55.238082373035304,59.37015963173177,57.67599638468749,52.871366168992004,56.89993960221763,58.61139742420891,55.41699854089242,54.782432082607095,60.6897645195131,59.32083544112039,54.47750344718875,57.29754118696805,61.73419287448006,59.68226285048432,55.805836652044775,51.13146958559153,54.72090864040957,50.399161996024574,50.4046753955977,45.449108497342465,45.43005960587821,40.78529826146948,41.05151874352915,43.217082428078456,46.46542023688383,47.196089251248225,48.890774980180446,45.09405714063647,47.47261913680134,43.22002574250917,41.915499289798134,42.82777176679182,45.13402922943014,43.599632273364485,39.05219015092862,41.471981091588525,43.1186091094174,38.56771665374888,37.72981284613278,41.81819941039835,41.05677342148423,40.02444335991213,39.97763301575339,39.10610916774838],[31.80917700096461,33.607110030854145,35.92364603016915,33.80793094611277,36.35734205370339,30.207732056012325,29.977647572768376,29.43193934220559,25.08845099624531,26.211400365439637,24.00197302101346,24.732568927542193,28.956154451805347,26.20337675688833,26.94315432149529,30.02080319850868,32.08637938218241,34.34496259399812,37.57933638522402,40.72577034604874,43.37291705546613,47.828907811989666,48.56869509168344,49.4270345383574,47.433578016957206,43.09228580000739,42.248323898846095,38.327517062930305,36.69693164904916,35.25990045838626,32.71118859194149,33.9576167286529,33.95178802762118,37.41967692092524,38.4555116823872,38.576606751143075,39.448527124855886,42.37512598115333,44.319385329411446,50.3751678552863,48.36568762999226,46.89570866511887,50.8945199463666,52.44930464195626,54.09404385082283,54.60878943018234,58.45490808656369,57.172874687818975,54.36704397723663,59.714095890511274,61.071219507155504,57.678274380378085,59.56720398136334,54.37883010068636,57.74314708023691,59.61463799207729,55.919604324109386,53.12093399852375,56.92760700535384,58.52131349141946,53.03684825864976,51.522422410566506,47.976477623323746,49.70285750163743,49.94078267467521,46.3340037853263,42.171112356676105,38.62570651401007,35.80848149040445,31.699569069905355,31.467533886279742,31.01808441804129,32.28383868762172,37.25579066841986,36.3341315399814,40.56239817385758,43.039696606288764,43.94010136921397,45.50809870758514,48.912673170622696,47.85507400014933,50.29183050648998,47.80792684616969,50.78226740298231,49.2695288637363,45.56758167882646,45.694922310592695,44.087765265480535,42.53075483622756,41.887689504669815,38.649108165649956,38.24706729881798,34.53657130459746,32.47738386896583,29.649602483090074,26.640447006399263,24.65097240823352,28.778709805414543,28.170759229969317,29.308179669691416,33.73858240684098,36.07785127190441,38.988251642092536,40.40551188003505,46.15587609889024,43.319612585052475,46.822276385350584,48.19869446647909,45.08968116158284,42.10678185853866,38.902801776090676,38.287347504206906,33.68310435862615,35.366237992386395,32.36331151714281,34.42434859338971,35.058224692821405,37.28529289867037,37.588104765966705,33.9428669583106,32.085120584838215,30.13888804685462,32.183681969214824,31.71231301573522,30.71522566018676,35.773472219229305,35.37687604297597,39.14311809620229,42.27828861057047,45.365915834890814,47.646129935125785,51.22932015493835,52.17640957005786,50.63635197250763,48.57213538288667,44.283973297875164,45.678131273353955,42.28815997617327,40.147873814833574,40.89807239752083,41.901845780191785,45.19952368531736,42.527143768002524,41.17986101917258,42.983302277529035,39.34205947658888,38.026642582670995,35.87065477872021,36.40370645895733,32.43926653655578,33.99724035941152,29.532913834566585,32.66615207927114,29.640578404819678,27.502351874810646,31.037370147133217,30.877271109335222,34.68316532983878,34.99884444477835,39.1062158059408,41.13384386219688,41.282031646820535,43.03668561258923,46.06763101565367,49.464936177897464,48.66970282842244,51.90514867226033,54.30646640596088,52.817571885058086,48.8523797076225,48.72248062024657,45.471765194007055,47.198974550383575,46.58000987337212,45.26347531105744,44.59326607884255,40.81956593834017,45.19314960772715,47.21657235305159,48.936498572512505,50.00893373113944,47.03944598800457,52.69599672801111,55.73397280379425,53.12713197389349,54.4087700980831,51.88342962727484,57.29656608536997,56.28052096178255,58.403891396495005,60.086513474998554,56.97215363167099,57.50654962909144,55.74887549504394,56.2222017641192,57.079674306508686,52.84939145824723,53.32967812424682,50.970347053531626,48.279513967881286,50.9507722842692,48.01803254487174,44.82542834024112,46.95876543977372,48.4811686887203,43.72902075788844,42.391354654355546,45.966728924911536,45.763826148591185,40.30837495030779,41.849042826165785,43.77962687550718,39.7658282578576,37.88487018338226,41.848133245969166,43.0787849693963,46.88868117079063,49.312629938816364,49.28361148634834,51.515291109829946,56.7183008879425,59.56783416175109,61.6082956451113,60.99129766263365,60.54991675462916,62.71161763624677,59.98964666080784,64.36789022152783,63.91670217496415,57.99735213913808,60.182963504503206,64.28797382534253,60.67518262611213,58.27062268842203,61.550719958921256,62.471430591112224,58.39181244412951,56.733277948358406,53.50996277164676,54.35320022046887,57.18316113555325,55.597555336191725,56.0913900940585,57.275176020212875,53.830342817855836,52.032913529333484,53.159192644956676,51.62850928612002,47.44300716144638,48.069951452745286,48.37282293423009,45.40282175558248,44.35960989162876,48.61124766344882,47.09565151135992,42.71272533337544,45.86157217497985,49.646758499262354,50.0942341243722,53.11761783092774,52.614703601701045,56.85439017728396,55.409149630021965,50.65499488819418,54.591189452749376,56.56714881338676,53.513510717407364,52.81772996810968,58.768154037737,57.72016766834572,52.91809427893713,55.59662726212195,60.1687566268367,58.39975524000972,54.56935794489382,49.962706311740575,53.88026412584277,49.737635631464336,49.533200737443785,44.513209710781034,44.03792740363442,39.29495299260871,40.05703125455276,42.05563650096928,45.48065070123891,45.95063363037317,47.26062909822163,43.24514341316891,45.30889824651597,41.046968739689845,39.5307958388426,40.01732989023505,42.24053216564246,40.37357374474553,36.0752903469808,38.6685951579921,39.9733762353076,35.19858219751072,34.87457622999979,38.86349150840792,37.79549444750374,36.71152544935527,36.61100584991266,35.75969226194804],[36.06621812299599,37.84910004604704,39.99037127205379,38.04166084302646,40.167583796503976,33.90292343496278,33.3644256269907,32.32338029847738,28.03128252412574,28.92314585658223,26.252431640180284,26.511366804117916,30.944311002202,28.45286532987302,28.329957265488723,31.31938751863341,33.86764849201133,35.64887989736815,38.943374829156895,41.98694166084475,44.520730064292565,48.90975944139538,49.69341133853574,50.88178915239946,48.99995411255321,44.77068135129773,44.033841883035215,40.22795676342635,38.20658786739575,36.62148791982887,33.29528075830558,34.70640704795362,34.051618815657555,37.26180498132819,38.84651609049288,39.35711096830465,40.43624948309087,43.674315412804205,45.94713640316683,51.83043808939211,50.17626925859369,48.32495545498811,52.11172738266812,53.99956631244725,55.761034611087496,56.6117389304284,60.34146133335964,58.80333950853987,56.32629427674441,61.759001037604854,62.81748613109505,59.29070370648082,60.81229536706499,55.74968964454072,58.6951486946544,60.47332014190298,56.93005550314393,53.85030318953159,57.39621077810831,59.2318138193767,53.749286248251174,51.780071033990055,48.064968026333574,49.83521192110685,50.485557836344775,46.97693005003631,42.88475625215512,39.304933713736915,36.758197989545394,32.56073184641182,32.57217740394234,31.770157184046003,32.633503884527634,37.542625821776554,36.54072518468696,40.19158239705525,43.12562241407208,43.604516283231504,45.57567886776497,49.265559128967794,48.33975294317997,51.196622498485674,48.776596323208985,52.06050607552924,50.836993054200846,46.85728012490587,46.71028500283353,44.737406173253184,43.1096442642888,41.80571136039223,38.613474171377,37.67486775601974,34.1057511527562,32.1353357236699,29.940470906814355,26.56414081600639,25.340545863469362,29.233108810437372,29.09374442776967,30.111498734892848,34.58064402729595,37.36624815944968,40.22576362735063,42.13271127079731,48.0539553228239,45.615151479495054,49.19846380558417,50.87953242923409,48.03313662468453,44.774840969423536,41.878995439187776,41.09098488318185,36.58024585628974,38.28915032207211,35.023938299220454,37.24956065254959,37.45635449120373,39.90038626917879,39.591825773891294,35.809512424738394,34.33384104474688,32.63430459192792,35.194193950927506,34.86959882918845,34.03019184264665,39.08679668095911,38.75406622114916,42.339273831046974,45.414436518373286,48.152288179997335,50.839089585332175,54.224046868469586,55.13678169353281,53.24759885733571,51.51203434574006,47.268876559248646,49.09897526974069,45.606202887345816,43.47958356164054,43.885948448311936,44.90977374834075,47.879646140521544,44.91430647780259,43.690376056116946,45.179795452592515,41.36234449370369,40.37859848453904,38.11696997609887,38.750520517349386,34.90061471413223,36.40897374241562,31.770312060137904,34.463283868559344,31.429617174541654,28.841183580156343,32.42293642744309,32.519844009703576,36.53855874342337,36.72023403338862,41.27000679061751,43.52436860618263,43.24666128788901,45.469559033840696,48.14373568668149,51.9430958007455,51.50283565844503,54.81652240296923,57.392134988979926,56.10543669520645,52.125673748937274,51.85759664636882,48.44379698227969,49.76984623505872,48.86562025620228,47.22288815945136,46.33525399848683,42.344501947866014,46.41460512151589,48.74172276083072,50.56480437774036,52.058896485506374,49.28618783011959,55.019310672244956,58.11942496636099,55.58233919104338,56.53873714611208,53.80129083845758,59.30764125815784,58.58222192740428,60.80785966415138,62.71439671969215,59.54761268734128,60.35097453472858,58.72191411842544,59.26028015683141,60.294408366054704,56.22624294962837,56.67242500527703,54.494516335679975,51.56707586310978,54.31669204955421,51.15871962681817,48.11273057824969,50.5500438797821,51.9002077654069,47.09270498552448,46.19096623184876,49.683310851878154,49.1218340565509,43.91486714894356,45.668468738049775,47.43305026567501,43.256486634853616,41.7392977646599,45.767940369438875,47.132676922819925,50.71896549682238,53.483911529259785,53.2340317105594,55.32359550476365,60.507926072485255,63.33361487037617,65.32666809243595,64.45293710363508,63.9775289308253,65.98432454427244,63.113891898923065,67.56985149962578,67.35906238068785,61.45840124674059,63.47705883108754,67.77562145830335,64.33415542709899,61.81241984234032,64.9968767137248,66.2216413988446,62.22932578769269,60.3155773188224,57.11750143628127,57.544494038407656,60.336486871315174,58.7010813381829,58.89355148238168,59.913525187032135,56.32912330433144,54.873980400022134,55.97670118385763,54.118070600088274,50.1026922677853,51.03687997356905,51.09573953088097,48.042735292606146,47.36221063840183,51.58407719715346,49.863867747376204,45.62126621499221,49.069244267543766,52.77241926449687,53.41599825632764,56.31019152400564,55.754467670730115,60.08082942991476,58.82571273129848,54.175629464911346,58.037211453007735,60.21030747248539,57.272819150220975,56.55503499507397,62.51383252501342,61.687524713476364,56.934293001444146,59.502247365017055,64.15555712610825,62.56496158109133,58.770535386957484,54.21581374626043,58.28287506624426,54.22790381798033,53.916703429346114,48.89693533735078,48.18755312417191,43.409726646772164,44.43728740586308,46.33991397943541,49.831383827192276,50.14153503350129,51.23659879689507,47.05391062104572,48.8415993954949,44.546656848134795,42.9862658246724,43.05475747490736,45.195579260864605,42.94517597309523,38.99144149026866,41.735699791541094,42.6310051705086,37.62950859462363,37.8664918846225,41.65578803008436,40.17167410417274,38.95368500039384,38.795124789678276,37.970528694594655],[34.45584412538574,35.89348309201211,37.59354647742279,35.452200140202905,37.17727913618334,31.048135978725128,30.13128943348998,29.104208242386246,24.6511932399352,25.14506627090264,22.35831931217909,22.82205033533094,27.00294217800372,24.38623082433758,24.19675682508752,27.246718163158988,29.70982157628703,31.4297474132942,34.69856329817816,37.75664200900842,40.28783776431854,44.68510373208417,45.471286077779006,46.65232262349714,44.7536618982697,40.52776891623072,39.807953301881255,36.027791789160354,34.032036518920336,32.56588492531118,29.219252146445342,30.821173728352086,30.320947364722755,33.4791824001348,34.927776421855825,35.27285566879841,36.46698777007961,39.538329195905156,41.79584876890765,47.71828636600401,45.988898966219395,44.10190652250929,47.90601881151365,49.771270087388,51.51739630256717,52.388981615160084,56.108519756533695,54.56984281813772,52.129754454206015,57.56934345637372,58.63484228816861,55.1182495450986,56.65729011736208,51.60623739817191,54.63026653234554,56.346466894832396,52.75582556863234,49.75311458821058,53.33682438447243,55.083612612851994,49.587549052997545,47.70905767153836,44.04353643182024,45.78401064349942,46.33875455281534,42.81894751844937,38.703869948529764,35.12591692674429,32.549147733664476,28.348233698193134,28.365534866867893,27.674757746026554,28.52769306294343,33.46237213244057,32.454716242264375,36.2881111257484,39.09782442064872,39.7453393157097,41.61810101340065,45.239721964448975,44.387123339628374,47.186429215533906,44.909689928008454,48.146829232175456,46.82111240968861,42.846775269361764,42.615752466713374,40.798082428258425,39.03412991925894,37.94639607200117,34.66105933598938,33.8695921446995,30.261925108033967,28.34444816663279,25.98019344243203,22.67946612110377,21.29689775755604,25.47940668865495,25.449211039442385,26.970041680643934,31.032687509506186,34.07374314461205,36.61078171855216,38.71449144801742,44.521057512744676,42.18966050170887,45.94770202446972,47.57021530542038,44.85099596661699,41.582471112017146,38.702691561298856,37.5880396098491,33.06333745420325,34.55456299515676,31.093453057336095,33.2771632650737,33.33109539814231,35.80097483724499,35.38323623801725,31.58285087882644,30.16105881663348,28.5285878775045,31.24395443733072,31.0307322530639,30.387368878145363,35.46187464104627,35.47947098113327,38.8864994195246,42.038284323001854,44.651843798644315,47.44027225725842,50.84039519840404,51.55958384271865,49.650894998128905,47.842868119503386,43.57431192999049,45.575624791518,41.91886043318097,39.71623548703689,39.96321623473601,40.929924992613714,43.78614956848479,40.757575585128286,39.590947120250014,41.03961149334174,37.24741150270228,36.32816026607145,34.173999844107946,34.986109475191306,31.27941372413117,33.08584426674982,28.597810806296632,31.587456439061675,28.98112139096442,25.99801765446037,29.277082572737356,29.03112805954192,33.139611488502034,33.009264306544225,37.65802306289527,39.69378772033548,39.24880046990669,41.43788437203724,44.08330919608846,47.92074453335528,47.518795906952214,50.918170779280786,53.49954524634179,52.348273803682744,48.343367064284294,48.08420159091602,44.59559505732539,45.86039986081685,44.97083779440291,43.32792426793441,42.572952822908015,38.50690385522203,42.70154266373033,44.857666773348676,46.78211490191672,48.15913166268892,45.58354364454328,51.26632162858703,54.30672143222465,51.70604688005161,52.519762961009455,49.70228652166192,55.19423434624366,54.440788906489814,56.743409829395546,58.71007273501137,55.59095889099074,56.51161658422222,54.990426350791516,55.64218149346456,56.8241696425021,52.83044441405014,53.435044479868765,51.448399862442585,48.53161905443796,51.53473308763061,48.43609855972746,45.29177448190302,47.91858435198382,49.46622977228552,44.68869941955382,43.77320792847851,47.47367914391796,47.094081493224216,41.88296843594846,43.772313997006265,45.75900471718643,41.618575248463046,40.10675437285614,44.33786561940308,45.45994237220556,49.275569809842565,51.687917122232484,51.31107454830144,53.57980960793294,58.6325379099668,61.73014156174315,63.48493513307642,62.479200573503356,61.768976570082124,63.65962683100695,60.608284843556895,64.9783426817666,64.89308426325509,58.89188385985656,60.73255929643615,65.03162945566353,61.647787822340455,58.97373209621245,62.00400614491201,63.351505287285036,59.4082192111208,57.192526364062985,54.23017753870004,54.49887502003304,57.40272357061927,56.01328742918507,56.15484594718863,57.4040989040665,53.65138397145393,52.15827624380078,53.610374581273696,51.766779952182375,47.60807173739685,48.73064254895984,49.066182211311734,46.076301104867355,45.35423781317131,49.782528499451956,48.27514706197091,44.124959806183625,47.511260741542095,51.287088470828934,51.72304809734451,54.45251651996914,53.61978177324056,57.92891172331108,56.916922208799505,52.08079614220734,55.72428879039071,58.05617007248831,55.16954001624484,54.13778099030404,60.13880080745491,59.49619222433511,54.617390285273764,56.924078010386744,61.71911114583941,60.285044635751525,56.43510133523398,51.9344320049852,56.1215310124178,52.14056828132992,52.05470492532841,46.90391079844192,46.071578042196265,41.33307182867156,42.32849857693366,43.991708099338354,47.42816539761631,47.50370352701525,48.6180858968745,44.19758996661078,45.82748703089534,41.41220513048448,40.28295734373095,40.24836761437097,42.59784559042059,40.28913791650383,36.418435175800795,39.5064384128905,40.45711565905148,35.30986273011013,35.93634484566997,39.89014098331791,38.5304324390935,37.46549699777227,37.22212124280357,36.321044032055696],[34.05635514106373,35.17695020610135,36.55179859330111,34.01702074701792,35.58747246111908,29.77574659128267,28.542157929036694,27.852372896194886,23.16013533290111,23.04324322073686,20.288835124703343,21.366798624958125,24.92020117061326,21.826055534370717,21.808487127904723,25.036509604827323,27.089540776229548,28.650684960742616,31.57935438252421,34.870714511279026,37.21700626336022,41.71266177303012,42.3082281887306,43.360221430648686,41.61212668605571,37.33614781614528,36.842487205720644,33.15720564714099,31.421609550453912,30.3562403961395,26.962734154291745,29.072643518037506,28.85374691058796,31.78916595936539,33.034888672597006,32.979287927458664,34.48294623864326,37.077183318195566,39.225466832836716,45.286007180274396,43.2210037866882,41.25640654494631,45.140000224555976,46.86924920353103,48.42173254051285,49.25713763427608,52.96462569471157,51.603744072963025,49.2505881662767,54.67828855200428,55.892528304051645,52.45555854239382,54.08558076495645,49.082212963058474,52.331599789082674,53.829704046543156,50.09276885630743,47.33485646269833,50.94617166049344,52.40328197470731,46.850594239146055,45.11743156826664,41.582216458684826,43.02893303662329,43.48348192753492,40.088910609427984,35.69836864449268,32.305108981735906,29.399021060992137,25.34439155331825,25.086140726506734,24.292626007464985,25.508602443407607,30.453775612442612,29.800316500270334,33.85561719568219,36.63869811156411,37.64694863902161,39.45025439941242,42.95860112253072,42.36429432432763,45.05238311859532,43.105282490535714,46.207507464618125,44.61780434760226,40.71316752061163,40.27458447868939,38.85169918410096,36.700128934825656,36.03993256492414,32.50021865957131,31.782224143396892,28.237818872870097,26.608661777476517,24.051853924907753,20.901573128335393,19.269562211703484,24.067094094629404,24.220316996713322,26.49765136920498,29.903908894059814,33.23198244559849,35.27376745231309,37.56207545896051,43.12308659144066,40.830607949265264,44.78709906739971,46.201638085414174,43.54103577093673,40.400820429442625,37.408022452056585,35.9024601880719,31.319865560366484,32.37846784530293,28.64423350425872,30.5397991334351,30.417135588242335,32.67009302646796,32.07654406555679,28.49300126290674,26.948231057661502,25.528931624487612,28.22151269106409,28.32473030130084,28.07043354651204,33.196046618087145,33.80975257701471,37.04365512383163,40.35128970455876,42.9578741595929,45.6688183450924,49.20245361332988,49.631767837217076,47.87545203225518,45.768493049855095,41.42780055897525,43.41943139327829,39.5083819949579,37.068959655767344,37.239642822391446,37.84432398732258,40.62409744139339,37.67750514031225,36.70997460777282,38.26178102566154,34.65951001713867,33.75572013171387,31.944000467186232,33.078790564870246,29.595765415711462,31.878554962402173,27.706262044504907,31.17972269216807,29.082171284945062,25.821227056963117,28.663804970594658,27.872325174481425,32.017418039795864,31.4312376208217,36.080912697004855,37.62339091762198,36.997402387407924,38.86909321704954,41.62276892732222,45.34668959244188,44.77337714334008,48.36428740999434,50.79140427170798,49.80095902023133,45.739049143156585,45.647436743826034,42.11754529012796,43.5188650914513,42.80617045206027,41.29035618343986,40.850493260392405,36.71514518318405,41.167406655192394,42.950159819895866,45.035867798679426,46.06984503754682,43.79386960624341,49.34595341681286,52.24600350826966,49.49149226175503,50.132054076125215,47.18927181385987,52.60043235641287,51.59277527539371,54.09466808575125,56.08942066523818,53.12651328225037,54.15069562923034,52.76902349752533,53.591288940491786,54.91136313054052,50.928465502637216,51.799043563753884,49.96392581707156,47.21817776897254,50.47953096004119,47.5809500387854,44.256739045234006,46.91347035010543,48.77323158111976,44.07793816895142,42.88319892179941,46.83900255373345,46.843705466615795,41.51591018393717,43.385758872133714,45.65987848136016,41.6678253665161,39.94851785127943,44.27199975429682,45.09331693554468,49.234059065761684,51.09468850751021,50.77448673779925,53.28937407716685,58.22247375575221,61.551671303768956,63.132669237564734,62.16546027194385,61.257339573561055,63.111476815948166,59.95813687958467,64.1877109889367,64.1069080147156,58.00356990200991,59.735280945763186,63.913216605353995,60.49712411357656,57.72534472474672,60.615818010592115,61.911510964257246,57.971522530508224,55.5490736565883,52.889511701501036,53.2090292844394,56.265754903995095,55.189906562211746,55.41191929104441,56.970739814606034,53.10510342597483,51.43708771636091,53.2627420644176,51.57088736180936,47.2192514478479,48.39793139535296,49.09940907771756,46.21468483903898,45.30511477225094,49.90899158998516,48.67544259181791,44.562155459803265,47.741833039408114,51.59820381662195,51.76540581579242,54.40790051206204,53.35196458130752,57.587690780137564,56.70333887474788,51.65686172957839,55.118010950788815,57.483435338014374,54.58132435016808,53.25238530443987,59.27453188918204,58.66529944370672,53.634829740034,55.73367422781826,60.610966021789096,59.201663264241546,55.269600869139495,50.79302462812025,54.942404849452245,50.946882308826204,51.20587867630584,45.950426468064954,45.218535287995174,40.571756053539644,41.28161977013862,42.771894376131414,46.05764203489889,46.00968265172289,47.3468445666553,42.77726084741198,44.394754591787155,39.84598748763596,39.30939427607505,39.38559212130865,41.99775689414931,39.800320473565414,35.8972112084927,39.249394121450194,40.42609895396168,35.259467291707615,36.015782419557056,40.172571133188676,39.09091436086457,38.19956091297461,37.90219941874773,36.91311516858999],[30.52386736484995,31.330757080893594,32.3375966163318,29.746845894333237,31.012978789458177,25.31103476951986,23.886433881862033,23.299347331599055,18.53360790638735,18.313658829390082,15.682598534415279,17.069059818153246,20.442272409647305,17.284784319053813,17.752020609874286,21.00158934395686,22.84378290772187,24.83656706107798,27.985668595479748,31.166536891595033,33.7702563290251,38.234098065108505,38.9791858244737,39.88928405266204,37.885685184879186,33.57135710328931,32.80990166931107,28.981763952721323,27.362708405227554,26.272432423455243,23.557491554652987,25.391856829189802,25.723341524710126,28.919366469517005,29.663622589703763,29.375626222375057,30.624276992866605,33.11307721160983,35.08168720010499,41.20624530947782,39.06109189661447,37.39516948773206,41.392422588253005,42.96346514604454,44.58868666679573,45.246277651132246,49.039012994491515,47.69423217616721,45.0781142381085,50.47429987339836,51.77396679387819,48.375297355285696,50.212274781166506,45.09619236596409,48.56283909117398,50.227693675547705,46.44912597795447,43.80164376632767,47.625663217740296,49.03031106739211,43.52161299371319,42.150189993259914,38.72155480723689,40.35217314149282,40.42739242223495,36.834669235194696,32.62676245200354,29.107788405447078,26.24731311695608,22.14617060482684,21.946249502376904,21.785301084617185,22.973295599694428,27.945341353489614,27.025694043735783,31.600841995878334,33.805707929351115,35.07712019434608,36.454771033719496,39.71422552962688,38.90347367056572,41.273360216763244,39.222365415360834,42.13017140839201,40.40485674538659,36.66080688768104,36.48013082062991,35.24318644659833,33.285379609215184,33.11696405385244,29.663120037991888,29.56915192632423,25.861216194783957,24.031071277655432,20.870042502650485,18.152846033492906,15.77435802424465,20.6706492148502,20.46918854224842,23.01944403207024,26.178808841889612,29.294666027794833,31.241875700374212,33.314328275675464,38.743404274709235,36.32222676138958,40.30941313539967,41.59918865184609,38.927189093708876,35.86449184046678,32.806962447059675,31.214283161338052,26.610559429814202,27.633041991620072,23.969987973838087,25.927693670657035,26.01386959147203,28.360642218615087,28.210545702865623,24.483337220650654,22.83203770018055,21.127345392107404,23.757548346294133,23.67330850564737,23.32858689886003,28.445820687235127,29.115633992556297,32.300925803880546,35.63265107875564,38.26954285833894,40.9320822058405,44.49699658139638,44.895310456849714,43.212399005847836,41.02978816891025,36.68278960714703,38.66881352426473,34.77874105022609,32.40733955779742,32.61284878384825,33.43990937068578,36.34224839413095,33.41511695757293,32.26586892978105,33.893032986451445,30.287321117519202,29.22679201116569,27.37949438533129,28.470945944465278,24.978136728431693,27.39883953415482,23.414890476438767,27.233620682171548,25.480880245430622,22.226158467484115,24.795490472129313,23.69130456378093,27.73957589428479,27.113424392722926,31.573576518944233,33.004850972509736,32.570546262371074,34.32144723133424,37.19619418057879,40.79804948232961,40.19129150957228,43.70265672506941,46.16500351720184,45.10809224754587,41.062052115101686,40.92753356268635,37.419273073881776,38.88038226737304,38.23734484268978,36.84569292167926,36.50539594773932,32.48435277806338,37.11496228758378,38.7215949303036,40.746625411088665,41.59297921357432,39.23384323512425,44.758268278604994,47.64306800299135,44.877175039911045,45.67342543654,42.86593998151499,48.265070882995715,47.23837387154217,49.61027138600869,51.52311563115626,48.52489114003658,49.46124995115976,48.038125515288094,48.84451382746692,50.15878952920124,46.180301780271094,47.08773600495548,45.31108129439032,42.597598410085475,45.96455051360004,43.1473822584515,39.75469169759302,42.47251768227171,44.46283675304247,39.823199447982724,38.58870398687523,42.66088944067678,42.83367589373874,37.51965749623116,39.4618132617781,41.89618258182959,37.99386058174968,36.277475747726356,40.71674244944598,41.33438499761077,45.61637332445805,47.20224698043189,46.771511829524634,49.40273340482072,54.21113112547611,57.72268907770615,59.1253938778824,58.09308557834263,57.036443041184306,58.83412952326552,55.609613135304215,59.76459446697441,59.71877292216993,53.57213074668404,55.22590924571317,59.3719809633883,55.97998470505112,53.14597639604894,55.97273749600209,57.30832171655284,53.39894082453892,50.86010995324818,48.294954133024206,48.58660183483086,51.69474544535351,50.757002983807645,51.02175504382118,52.75189027992088,48.84517684131615,47.06229280473245,49.095927002599375,47.51687535561185,43.04701457472224,44.25894981837683,45.20787520407027,42.414376012999504,41.39007260683774,46.11428989463473,45.099127552766305,41.068369816725166,44.10577130011303,47.999391773089,47.97243279401922,50.49635819872886,49.262175478007826,53.449032240505545,52.706938180376405,47.54426008990391,50.85164179875595,53.290723669262135,50.429573515880826,48.90442577307624,54.93044108005965,54.43941096186413,49.35402973583374,51.28761780469429,56.23428691403948,54.9419678656381,50.99931572140859,46.58598183159537,50.83646598348793,46.944862660157426,47.310362613293236,41.99793395777273,41.132541966774404,36.5511612430975,37.28820821113596,38.580637394078266,41.837623834753856,41.61797839006421,42.91504392569031,38.23080861128688,39.76763427465428,35.182430546684365,34.879304796142584,34.966033284340845,37.712379901584825,35.60628529422109,31.69074209715222,35.216243298331726,36.528018479714746,31.392971073579318,32.275685294599576,36.550893477464214,35.7049339616577,34.99313935177382,34.66350834012352,33.62576473166047],[33.313443193090116,33.897976021830054,34.468096782367475,31.95632622430685,32.547109861194365,26.990625578920127,25.04675641012677,24.02206914046106,19.36228425240073,18.531506515349456,15.382688401101985,16.430570789505303,19.63331563258195,16.711537514492324,16.07830410693864,19.271929344807177,21.52245789690266,22.917164587798368,26.10001704224364,29.18117481692335,31.67151973700024,36.07681562284008,36.87155166708594,38.092042566087564,36.1777702738036,31.990701652149554,31.35137372505739,27.686093477666027,25.699458393410875,24.591129399159946,21.033480351380835,23.27374324603537,23.11949973412999,25.996263479059845,27.13695422908022,27.057451999852326,28.63854396570795,31.256361588847874,33.52777356324105,39.504439555504625,37.63417573797834,35.57252625000824,39.3780458935114,41.24295590599446,42.96404515112997,43.952001095158806,47.618471676272144,46.03693068708815,43.76369365003511,49.22946237689731,50.25699419747363,46.75240230564129,48.264503510732325,43.28026828400327,46.428779180568654,47.95179328695918,44.27057530227715,41.43181082438448,45.05421664364927,46.6024554267935,41.07690949683408,39.36359497788166,35.8152346269815,37.46542225947199,37.83681952972562,34.316842109942634,30.149860707125463,26.5836462593636,23.970707052081202,19.756124233425545,19.84157569855704,19.438976444576028,20.166754320032577,25.13452972267426,24.110599467015668,28.34209189470126,30.8696225403794,31.916930569901307,33.58401617186948,37.053306011084146,36.4392637933122,39.15004334200045,37.30039757758455,40.44485056993115,38.9003718515687,34.91068727203917,34.38331120991303,32.9510420845107,30.780710329566965,30.195589900091782,26.66809894981824,26.20691627211958,22.567248365438363,20.8860253579409,18.169464787831405,15.134715190067134,13.413694835443584,18.42997255393645,18.87192687509307,21.82463974146964,24.531306407026577,28.30057809368227,29.861470046642758,32.562997357504706,37.99443592171265,36.05402156290644,40.21793649009176,41.71861177176041,39.41094016465211,36.13433948047832,33.41464903593903,31.42198706110053,26.989184249062035,27.822586677621892,23.79775401726261,25.842070578867737,25.34138165089938,27.9040989118266,27.02790981715293,23.165467695639794,22.0093710064983,20.676354194552964,23.938886826357077,24.106386302426536,24.1024574170547,29.09056469028622,30.08756344170284,32.897292520180976,36.18062976744193,38.36392056133175,41.44392845332683,44.807452341027705,45.01774106312107,43.019564080098846,41.09574943093665,36.81742953249628,39.31661303299442,35.257271284116655,32.87754473557997,32.61485258273218,33.40513821731834,35.85818819493339,32.61503836913432,31.64945178404128,32.91359816574449,29.186006206126756,28.532409079146582,26.70815108286778,28.05371488635191,24.877223860394043,27.467660320475737,23.554248148333762,27.13246955709116,25.785986130384813,21.865379548476685,24.115785645953473,22.940908869964126,27.20472665741155,26.15368956341576,31.076157582906223,32.50597044635976,31.508410918844017,33.66746106026226,36.14943072247268,40.14129441436513,39.90634704922799,43.530750106903305,46.139183278884836,45.381975107454544,41.34354205721631,41.089075596208076,37.406270438591804,38.42375190027826,37.53086869287954,35.842026784768024,35.421605899813805,31.1507220637595,35.585049906379986,37.30733132679028,39.51249081610049,40.63946882742387,38.65230936206235,44.16303231443073,47.0360725925902,44.29689443446195,44.668955489941474,41.60630469452819,47.06003147143163,46.28135813500385,48.800709570392364,50.95815757110275,47.96388914634094,49.235976793377795,48.02396704022998,48.972342521772035,50.548416863388475,46.803751407684246,47.79285531583621,46.333407612760496,43.45187370440276,47.03705746085239,44.100883818310656,40.802352523465004,43.88211555191999,45.843198840836216,41.23310781674696,40.37203046758106,44.4614512553447,44.45970944109587,39.41332523212062,41.58986353615724,44.00159527155173,40.0392389914601,38.639482497723485,43.19684583908379,43.767129689116345,47.968919720589234,49.59237320723813,48.907168104745445,51.51545872388057,56.18602421320318,59.830060103015605,61.0333008264319,59.71274672891933,58.47483199217135,60.05337069185945,56.59881906055408,60.73148456524503,60.97364545595266,54.81260101998066,56.18787460230087,60.46916921953495,57.283453434464434,54.2636109455543,56.87731733165803,58.54948222473115,54.77697344097863,51.82544867957618,49.474833127424326,49.29109702221081,52.42482209493432,51.63293872879402,51.60393773441831,53.35373998016985,49.23403421593547,47.72683472634471,49.97964051866141,48.152799279688686,43.761956252044286,45.35487410912137,46.28888385226896,43.50087590327291,42.755574429520735,47.54737552813078,46.52115796839933,42.704168617884086,45.90734902628714,49.74795030215676,49.74108084996329,52.030494356480446,50.57391444384905,54.786570673900435,54.37033911991763,49.210113602717115,52.278153579310846,54.96822799346852,52.25865988979654,50.51707479623371,56.529353590553555,56.347647470211776,51.26141675028123,52.90945832009419,57.98198575634035,56.95150338275306,53.0339457804153,48.740542049740334,53.154194601196906,49.41631039960715,49.82996791309489,44.49230594726211,43.3682680181905,38.84487436176225,39.77014663854511,40.81513568706295,44.04882112399949,43.54289912817515,44.65452222842246,39.72646703747848,40.88594163705604,36.251183053833884,36.23019209176479,35.87795206217552,38.66656272696335,36.22092994934084,32.72832258579178,36.56567636196161,37.55636109439651,32.211011477232326,33.81828585998401,37.97228096953749,36.88852654516368,36.187189627402404,35.75438431136184,34.707571959346346],[30.281272902433233,30.549075491694413,30.733992673989835,28.222878322971237,28.453141184275694,23.052282474917572,20.882837666714074,19.919940632509537,15.228902714175108,14.225134861548026,11.135346276880243,12.54228435999569,15.551419116987997,12.598710871943968,12.522035053685158,15.747411161085923,17.79862008845785,19.762494071628957,23.26073434786642,26.17225608326462,28.984841821946663,33.334417803567995,34.31383771453478,35.37452679196819,33.158074115414706,28.93736216136363,27.95536014158626,24.104588551817706,22.221614688619862,21.032802081344723,18.345133434842037,20.17601444867067,20.698686480857244,23.904396790576943,24.440134784342547,24.11210160382777,25.348288606037084,27.891115484710017,29.962171090908406,36.01246883297445,34.07517062565971,32.3708863506694,36.30385381572652,37.995049692705145,39.81295777483723,40.5979589579102,44.36159855615752,42.79016200615646,40.20529140521255,45.63880422626561,46.75388083135359,43.288094149762955,45.032406731814554,39.910306253018014,43.2945122779229,45.02813156797318,41.307543708277514,38.575640130407436,42.43911430328969,43.94750838534874,38.481760062692054,37.17662947322694,33.7524409231111,35.62663816933196,35.57097003740356,31.821754047269376,27.90884977385512,24.19478510098273,21.692444985159785,17.44244025959371,17.642889443646823,18.058346545198255,18.694813232649917,23.612013597794917,22.24456919866724,27.039068815608807,28.864313067101648,30.184572294424825,31.34863346060523,34.52789504424949,33.6365161009241,35.98320391514107,33.97704121839836,36.91198267828667,35.23007914491655,31.41466823319279,31.21354776465066,29.96506175129988,28.06761877583457,28.03621457059068,24.65768227569492,24.949231410151334,21.157410185445862,19.21977434603399,15.760242764275924,13.356814855863059,10.607656936137507,15.685641658203258,15.651938548830428,18.90519011822362,21.329820821788324,24.82373678498576,26.30829583958828,28.746892911938748,34.05346149581804,31.96078712057794,36.14999973465952,37.52601267835076,35.201201599675834,32.000724543688264,29.22627800392246,27.151678694233148,22.70543117701719,23.525227519563867,19.58277673535037,21.75142841408717,21.498476734315087,24.213473829508615,23.88018511399338,19.81710969723979,18.569988809115316,16.86144618861936,20.094198613927407,20.00526408922139,19.873499063046296,24.823717516734835,25.846361647606308,28.59254935490893,31.88798354331809,34.09856512992224,37.13653329497024,40.52438207328115,40.72634570023351,38.79511522663094,36.810390684110246,32.52779334655182,35.02884010540245,31.01762529117702,28.741874466951664,28.512931464578767,29.601768668441057,32.19553584150454,28.964949549993726,27.763867089870846,29.103010395462597,25.338970712274566,24.501042225020942,22.589790611171406,23.866935557430548,20.6642048604946,23.398759639940792,19.70384171668008,23.63813937369251,22.686890527400134,18.814617272472216,20.72388283737947,19.19272509994202,23.34930741901307,22.26700727879469,26.988796412192393,28.335074332838122,27.569255463050254,29.629796883133192,32.246092906820884,36.116142984430006,35.86090627205062,39.379810185833435,42.042792450570225,41.194422602549494,37.176808457249,36.85916160623648,33.19972173600654,34.27021425264564,33.438264958522105,31.876387434756893,31.542973867537228,27.400382721711676,32.03535918273986,33.587489210719916,35.71097457929237,36.65390408468526,34.53881682532587,40.04023589681402,42.913307587619215,40.17054387222204,40.73919938266886,37.83973401542565,43.29344722531271,42.51073090069873,44.86763356532962,46.92926271806474,43.87918083460144,45.041485700279175,43.76755898168392,44.68219816759698,46.23613305148973,42.49170702125639,43.49827551840999,42.09011969302439,39.2335316184002,42.90587014950248,40.04806321863491,36.697174732026696,39.83390359099942,41.90401247212477,37.364964866223744,36.48944970144538,40.662136265197915,40.80900152280596,35.815510183066856,38.054541638703995,40.59547362892748,36.7444601425885,35.37387357910973,40.002769086141484,40.3835199508505,44.67757616085969,46.05342925989946,45.25817200602579,47.95546583165454,52.492045791983884,56.29029438846962,57.324043623205945,55.94757177360744,54.58077626417983,56.10680860046791,52.59768287870147,56.657779580625416,56.92800081613701,50.741171281610335,52.04590024843813,56.29541964047446,53.137483226083845,50.06787062213796,52.62679239329435,54.335859151996175,50.59732606282638,47.54977859785056,45.27642405177381,45.06227891105166,48.2361834093698,47.565892138326426,47.58124745118601,49.48676423406488,45.342633592572774,43.72263716966053,46.16153027701684,44.451828899112336,39.95807599735226,41.57451062820567,42.74083622213362,40.05340042343857,39.200637557059295,44.082293173997684,43.26824304119189,39.552567016655516,42.60048066015156,46.454100704283015,46.267343540236716,48.4369851678808,46.821280116785296,50.976212782646485,50.69075932191393,45.4442506933039,48.35967552614034,51.111511067025205,48.45109319942556,46.53716881894377,52.53611777973755,52.467679124443826,47.352906568999124,48.843847706209814,53.967349128652664,53.05134430410128,49.141939560043646,44.92771626719652,49.425106443483024,45.81127201387601,46.30349634991508,40.950244129113315,39.68783054700948,35.259612856721304,36.23019967120001,37.07069701983331,40.26576531868697,39.59049537139337,40.63543726777392,35.61448786455743,36.677273088045624,32.02318057322749,32.219497129593286,31.86156672567241,34.77093415012754,32.419774786092056,28.939975435646247,32.93396384739909,34.04680688516484,28.768584178884783,30.503111609892887,34.73404639268009,33.889854508293546,33.375680811547774,32.914905802517104,31.837016645754],[30.89432492895618,31.297047760926933,31.935537433145065,28.759027985614434,29.961076291567018,24.93062541447823,23.186813098358048,23.32262470802511,18.40535637112367,17.212726083699536,14.974081414151557,17.473511789137955,19.52413354412056,15.513116901138527,16.594638415690206,20.026915526867803,20.926808799082828,22.70552749138769,25.139352230706372,28.738638840649138,30.997089594801796,35.61043303352824,35.99911048435309,36.6082459301615,34.87123974202531,30.463023876372695,30.099845504289714,26.454634411109197,25.43378611054843,25.096639686169954,22.552647980045474,25.113405905524818,25.951617659967066,28.727241619020706,29.078512940955058,28.09608601684351,29.778493831153796,31.386869382519208,33.07536691446108,39.39806841932343,36.64397401227121,34.93929543090012,39.07711883014392,40.345152861274094,41.60345579519937,42.123440217427884,45.91051407400729,44.92681145291685,42.40072769227935,47.73880904775708,49.33944751205708,46.11271931408816,48.14717280230171,43.12044852042803,46.980585745777134,48.30278399591901,44.29461936237388,42.10357847606521,45.96545785624029,46.865319254232276,41.30735059697775,40.23887252751164,37.08056416844504,38.19364370799255,38.05862586453837,34.71070332383127,30.058539504148282,26.939814307341525,23.461711989649,19.76435326889564,18.94597340955433,18.66323348931927,20.64157153306187,25.504669380757807,25.272473604375904,30.164147805513455,32.24797306073596,34.112082503476245,35.32534400900666,38.328568220581026,37.91766526423045,40.02526981779755,38.49113948682397,41.10715196686941,38.9447179409658,35.411405356829675,34.952124636357254,34.41135797573636,31.88744858007075,32.47506311486717,28.70238243156267,28.76675607865327,25.27813458606779,23.97205001628255,20.58903811486928,18.348253329954613,15.610537580004044,21.17937770980689,21.17982976244775,24.63176381545765,26.76872927269121,30.08627533614203,31.303818814676834,33.485007343060296,38.42859079879866,36.00747216093116,40.18406940507715,41.08694235401391,38.45706624706276,35.704901273957596,32.456616909948146,30.37484052219558,25.758965361921774,26.037551281994748,22.058544246871335,23.386546703132392,23.28611128334281,25.11767781209338,24.81871507461902,21.601291388693774,19.58195439538276,18.246748445872672,20.595869783889324,21.08905878769772,21.424316320619766,26.541046747064097,28.14946111837939,31.068723748255938,34.607124826256694,37.3057033067941,39.69626771372774,43.4813096169724,43.464524505719595,42.12116194277357,39.41680520724171,34.98599675773781,36.7892989856813,32.5550525403564,29.786420022075667,29.98102925176058,30.13122082832814,32.99903627187841,30.325484977096252,29.511424912172117,31.402552077872432,28.21768984217585,27.10400016855978,25.91240342717373,27.481213610544454,24.4082399201735,27.483333940601042,24.147324917444003,28.549176377417286,27.476105608821698,24.1467084984185,26.037834162548005,24.18312662521407,28.077710454313998,26.837713874553824,31.0710425501037,31.65505410829355,31.048218464455523,32.12221492234821,35.24429023239298,38.52622570126792,37.532038598711736,41.32040431842189,43.46448024518031,42.60834345094001,38.489314590148794,38.68040302313923,35.18138629625821,36.975069347350455,36.696788738779865,35.60092104796113,35.79270671807619,31.788871088612673,36.7699808302326,37.74366589631629,39.95995041651932,40.19139445651847,38.26315061007354,43.51311436590327,46.14905358651173,43.153636394325844,43.75489109992211,40.81724674737154,46.03241011026558,44.52493223585191,47.18970932779985,49.08036341687423,46.3605332000477,47.376881763206384,46.13838193449639,47.177673824447446,48.63228264847184,44.64381052316867,45.9395395307771,44.32931523735883,41.963769631920876,45.61084863288558,43.162928593458865,39.53577777817573,42.14647918445886,44.57072399726183,40.12169695884507,38.388246689954585,42.75252754756176,43.51599715417004,38.06332373231159,39.858270777499705,42.648268366513356,39.045114005618075,36.98052348836808,41.40355489359619,41.61319088629523,46.29574310773573,47.07879186251533,46.82639273792854,49.77162565890861,54.40285252565745,58.1458574551632,59.36740721990694,58.49009758222815,57.22646245993201,59.020258592412816,55.74917046392691,59.674589085877656,59.55359678432163,53.32335256884631,54.882667837812406,58.77871450988302,55.307105012027606,52.40927941231506,55.063001627735844,56.212387545862256,52.29942515324967,49.59011042952495,47.452062880834404,47.95161051653907,51.24603779824077,50.73496115250732,51.18847326628427,53.32420179922404,49.362050093037055,47.28898546677887,49.75840636493577,48.47015227314879,43.788182506119746,44.956402897928434,46.38574629548477,43.77601786144546,42.4472953042864,47.30208221999215,46.65783574467962,42.6826129935102,45.35139745223984,49.303365778390805,48.92157610007928,51.36691818081925,49.91402725077662,53.94120808457675,53.284328217895045,47.89970256905096,50.9807100680715,53.36208506697985,50.464424747032716,48.60094927580784,54.59422320115565,54.056232631945285,48.80679725248427,50.50356727166808,55.482939917725744,54.15108905716874,50.11674892932046,45.749676535241036,49.83176454318295,45.90561454406555,46.764828695880105,41.38915308099773,40.785007253659835,36.411997843827216,36.630866120476384,37.72158878108207,40.69561395054748,40.38651616051936,42.074186653186565,37.31135257400035,38.9177089549762,34.21701030201767,34.76744251749812,35.14193674376055,38.19690562224218,36.385306974021546,32.42030645112285,36.131817925578794,37.80523664562258,32.837929027984174,33.670400092236996,38.1274142316231,37.714771611476415,37.23127276102931,36.87276794904293,35.76279950044703],[29.53727075972738,29.57258189895684,29.85639498140576,26.342577215812817,27.426262050172884,22.949898854778976,21.03620293182347,21.75744085406261,16.897422240217672,15.164373494958383,13.534486067650429,16.81451810112481,17.857991556959835,13.378357683676434,15.375011757306115,18.757026601095586,18.82086251563273,20.8139570209893,22.88758988141052,26.61595586752157,28.82165823539229,33.4519496248485,33.718799757252945,34.00862551376061,32.263778245894166,27.797120877189798,27.480619050397834,23.87371277515951,23.38635104146613,23.490485019640104,21.68372288887699,24.31968089578098,25.774817728159263,28.45337334727981,28.25706157724262,26.758062446621928,28.43348511494537,29.439285447100076,30.780748772474645,37.211791559439924,34.04363993723187,32.588485158428355,36.866702332226424,37.81012132993639,38.88109165390041,39.15218092520237,42.992610063454514,42.26666161179624,39.585901536217726,44.83515772876478,46.69163732260875,43.615871743397754,45.92068883347242,40.88793464409041,45.10709506263653,46.36019719218193,42.21944001892493,40.383969437155734,44.38605730128084,44.96389765754962,39.45344020010637,38.818842920360105,35.920079664546776,36.851479871770735,36.3388193646356,33.03645813548662,28.31566747396531,25.416998723265877,21.655211285735035,18.32330046503394,17.138829909351266,17.282487957722534,19.696512753057487,24.339833142667167,24.34564899809602,29.627758219720075,31.228250231133835,33.54079747406044,34.37030666816729,37.025135627532144,36.671600691565054,38.38077164559222,37.04239737965537,39.32520713662731,36.840300976660544,33.59910781599543,33.205485866672525,33.18500129793014,30.551427539180985,31.864855172633487,28.07288828133662,28.614228828742263,25.23549979013691,24.09935334180147,20.351162898785425,18.759804884755283,15.517614593275498,21.130053333921982,20.94267574715205,24.787343450189393,26.27986932988194,29.392772525148384,30.212891589156182,32.18462689308959,36.721585772875216,34.17564833956192,38.38941715451416,38.96872202924718,36.31769746543944,33.85176819972075,30.448193904463015,28.138610206793327,23.56006229072696,23.381231363173967,19.396836999997316,20.297345281825475,20.343978502093307,21.826044383776313,21.899020562726516,19.004794975314947,16.587367689755617,15.249420103538581,17.150775036212806,17.862826010427376,18.537115365241732,23.584719289196507,25.729370754407693,28.48406796256496,32.12394214610461,34.929706531422916,37.04032843349853,40.974445125822996,40.74349385083611,39.697321347079715,36.62910865186046,32.16732863135424,33.7479815028211,29.38230445372297,26.430239510802867,26.734520812408466,26.60772798801056,29.61325448808188,27.191379542194838,26.437162821549848,28.59293785881073,25.72473384087241,24.41411811799562,23.62322787286993,25.373913568390012,22.563056364036193,25.98952639142125,23.21493451924655,28.015664415865963,27.43382628893062,24.287545342981673,25.676269070783164,23.327717627853772,26.929695399429193,25.43089146537064,29.25200288361428,29.273763715955436,28.796379880434223,29.30423659657699,32.6908240868911,35.614654533889286,34.3088725309843,38.17036213619431,40.11610008887149,39.2817336679433,35.144827022896806,35.52293574326151,32.09708322666668,34.19453686021724,34.21610881567845,33.426514753552176,33.9820611447953,30.15861355965956,35.38612679987117,35.88934178808487,38.11821574342145,37.85558157565974,36.06921477714294,41.10945896846639,43.586061279247346,40.47040374283132,41.12844004978589,38.26380290431484,43.32874667707381,41.50501394571596,44.21760767664746,45.99676320646368,43.4197358609622,44.363253257905114,43.169820686758186,44.29870063455894,45.77291436631662,41.758069807786896,43.26871417652339,41.736656144483895,39.62990937559367,43.41985909230915,41.256877353198284,37.485891691614064,39.98180516582277,42.69371899866146,38.41843395882575,36.34814323861336,40.88397526518701,42.07073105677851,36.57496004368002,38.26687490899801,41.29858233480588,37.95425679073366,35.6886298601983,40.081850064675784,39.97431066007012,44.904569434837995,45.109555452010106,44.937639019309714,48.088012736028475,52.552138318936464,56.46461977387846,57.52702913060536,56.74805065903248,55.33842175668641,57.12815753280927,53.85273146110926,57.60407780844604,57.413590810044234,51.15201594589807,52.659493131634854,56.36545582496996,52.84470816607335,49.92613416319622,52.4775120762272,53.484403186666675,49.57972153491468,46.798953518187254,44.92003248664918,45.597443018586354,48.99442048608948,48.761107051761186,49.383065513312246,51.79845133911378,47.853265318145844,45.53902651474889,48.28583699089778,47.25716542988264,42.43831675899405,43.525171277380295,45.316590937576194,42.874410214262205,41.3016172903653,46.220493089506796,45.88127525851665,41.98725518985307,44.34010485229742,48.30864399239437,47.64916793621309,50.01143343591094,48.403353765290454,52.28864165139633,51.69934359856085,46.18107009875254,49.078813514155364,51.41041172858876,48.50944124397756,46.41185858734783,52.354810242841815,51.805259365063606,46.47094811990109,47.98954573830104,52.97590860146396,51.64846208957749,47.57661845789773,43.276452583935225,47.269609991587586,43.37888904837452,44.549635359474856,39.15805282520772,38.67435825000377,34.493979023791155,34.40317255601364,35.2998923782504,38.074370999989036,37.669639555854744,39.57419708925393,34.789006224508434,36.439505062470396,31.708808804625455,32.82413517517039,33.43637354687385,36.68005573894394,35.15915315649378,31.160237202145286,34.94330981496372,36.90226759061254,32.162912487411745,32.89959365734771,37.45015891553877,37.41514248264151,37.143570305219804,36.77914234163607,35.639030489412235],[32.81466842561333,32.50835568737906,32.470159873735234,28.4337655332585,29.45344363179916,25.99816555755131,23.88501556283651,25.2660217068484,20.670729496777813,18.072366343704044,16.99415459347804,20.801067336477818,20.438562948202556,15.545663160621729,17.674364776480232,20.884122406379603,19.838856386566558,21.073206882841124,21.766644434784904,25.99986101444585,27.440708118253486,32.15698537372581,31.799457551639687,31.69594189284922,30.553006384858367,26.11328406316083,26.59496819732913,23.547060433514787,23.893275388252256,25.024361453116306,23.17427975854547,26.67504085325431,28.350657926872564,30.297477904011583,29.88316363036142,27.69097647578587,29.992567509997286,29.84903962208549,30.85422477606943,37.31424693843561,33.42791945224393,31.782209221219524,36.076423308513704,36.6509993204839,37.11843853464375,37.28779937073417,40.999433612343516,40.80111678183184,38.46169593166585,43.549838020490974,45.74937689939271,42.94290836160647,45.360162726884646,40.613323225092486,45.16325495109466,45.83992598274798,41.47817882206223,40.254573532443175,44.11424091026907,44.01447101887214,38.51855197090421,38.1391019401487,35.63563318467669,35.732505883183755,35.1156687706922,32.3626563421523,27.069040169988664,24.97098290752339,20.47154513822481,18.093693064929788,15.990870433457637,15.58459193426946,19.076581684412947,23.198762532579906,24.34277823667934,29.555412426822326,31.196370595590096,34.09116095354164,34.884767728944425,37.24826333878029,37.54535894337821,39.03678235152972,38.46651318507232,40.42443585308093,37.50672174703815,34.54769177188609,33.64592060401841,34.442068753134826,31.056599214089893,33.05440041017866,28.96498543214206,29.39458990921146,26.525160623245103,26.162450435527777,22.687590742150586,21.520681507990986,18.575672115356745,24.38174784042949,24.61040697089409,29.06220036056038,29.561019007259368,32.92881679131012,32.92296489526172,35.10846170223769,39.00163440397555,36.63282504933134,40.961291295714695,41.13465595612421,38.64746611144519,36.57134307569662,33.12088351939426,30.314591343100297,25.996200928169603,24.872125378941575,20.696141757981415,20.54969799402415,20.12413021326601,20.593104752959164,20.09106210647306,18.376585433003125,15.643556537992279,15.341030882590708,16.600690679294726,18.35499317269658,20.06614219355782,24.685211902369236,27.949684613712673,30.211555434890368,33.94966078700696,36.67841692970944,38.43861681526755,42.522543181025,41.749242570575575,41.10957882977443,37.49404834938041,33.07413071137788,34.403392923015986,29.685590059602337,26.240354467726927,26.44650820859605,25.109773226011697,27.838211248824326,25.88522672148319,25.816565392590842,28.208117527444312,26.093472818523097,24.89942440555879,25.092863017857102,27.40122503175072,25.306742796587706,29.237504268388086,27.19011276293237,32.21368141710324,32.173802292862895,28.974961596180872,29.786719049221933,26.920669965578902,30.262375653774285,28.124329693075044,31.63530230338836,30.639753869865885,29.806657166209632,29.4408193933598,32.95452020968691,35.426203923902115,33.63877717250211,37.855433786210405,39.28683602127569,38.82794697531999,34.68522471081364,35.53633975604177,32.20715372036169,34.632353588404854,35.09617969426905,34.63977212788012,35.80502322694779,32.06327049344188,37.44629175155825,37.23293381236994,39.68891741049868,38.74683393010592,37.64879646016447,42.21320215288949,44.31178363364349,40.962040889816876,41.223004731498584,38.15706862942615,42.859944791167145,40.40850933958617,43.571584413943555,45.34860231038163,43.232876772847945,44.34179837380691,43.469861483462346,44.915158342108526,46.577866284163164,42.653393868550445,44.63585960913806,43.35854560512093,41.710031101559466,45.738524607834634,44.018407649567166,40.09461682909619,42.409505304834674,45.525011236221424,41.540784251209615,38.991015120375934,43.717318250619954,45.476061359091425,39.955636147733,41.43479602920305,44.74025156514332,41.74484235194136,39.176199204786926,43.421667172396795,42.92903823625664,48.1673481188793,47.53936628653139,47.608358031174994,51.02956071211425,55.26005254676083,59.34123641912231,60.22851070805892,59.64199535029145,58.04500782874325,59.81108341062282,56.525436190833304,59.98056640783325,59.71423547700296,53.44878943684834,54.82358326901922,58.1950476643776,54.63086889794582,51.68293019078958,53.98180230901629,54.74904498991703,50.89840934699607,47.9526546685563,46.64244906083142,47.53505662924446,51.08635946182759,51.335762201906356,52.12807116556384,54.92086898854661,50.95919212285561,48.41770940153652,51.56393675380936,50.80951038547099,45.88234257395571,46.924900604453775,49.12416938449104,46.87961119251105,45.073465945677576,50.021237781698254,50.00255157960747,46.20413835965629,48.20093720595931,52.16386486701458,51.19550576460414,53.46412388296103,51.67756176595198,55.3482865949721,54.83915957462919,49.18746551120051,51.81367383612372,54.03596127812273,51.130997914514865,48.71824684862408,54.525393365681865,53.90476271188183,48.47395207378338,49.7101512969361,54.64559395864353,53.260247959971366,49.143452820651795,44.96713484585529,48.63895159088785,44.747580295444614,46.48314453611594,41.149421676493056,41.033182129943576,37.192428859879854,36.481489722740214,37.161153566326114,39.50479546459875,39.04306207088279,41.402008121883824,36.67812372950247,38.36333930495821,33.65554810832899,35.69195522056944,36.569368687534215,40.023388679872255,38.79071706906324,34.89249076486105,38.73462345642975,40.951336670323585,36.446009577520456,37.136332065002804,41.7295389069534,42.01582911954646,41.907834428967476,41.52534252203105,40.347080632034725],[29.455506754175673,29.799206773890866,30.768864428433194,26.918540597486523,29.165816639013514,24.938787307566002,23.80810367501523,25.26210690918401,20.53010858019881,19.39856106815211,18.441105755672954,21.810934886775517,22.858486451709176,18.308286404080302,20.919443769134755,24.2336404360812,23.83992761621668,25.92767582779538,27.438035484957496,31.38672178840948,33.29680128158316,37.96347551735368,37.8862536492024,37.77664861151295,36.31321223091042,31.828533476608847,31.785362231781953,28.334639486245337,28.395387265231992,28.765444650061752,27.300907283637656,29.911391521351653,31.492871150179813,34.165124811241235,33.87704526686251,32.17743970029863,33.82549957392142,34.46323732895372,35.47668849170883,41.964823160124965,38.34672673172093,37.12456944013052,41.495926969947355,42.07348229502878,42.77326757031922,42.71102022781168,46.55928438162956,46.302420085783865,43.5167661421265,48.58268754132491,50.82199786501678,47.9699531227577,50.54712302036848,45.56189307380193,50.085781129245596,51.203790131265144,46.93607765318744,45.44574271525371,49.47472651841089,49.7097662891607,44.23236247133798,43.81988691778303,41.10305429309164,41.65596867568125,41.04338374201556,37.97584029067347,32.991859899308764,30.466381690987944,26.327657299607235,23.42461820729592,21.78798130788091,21.56550249026259,24.595147342834096,29.05255796979574,29.591473863125223,34.82421012105085,36.50079853710132,39.010408754248004,39.81843180197955,42.332920190931134,42.09313385585301,43.57119222470708,42.31117425701051,44.34843332717381,41.62807996994386,38.670018489396185,38.348664507798034,38.634106902827774,35.90851397868114,37.48188499578369,33.62054315720607,34.06947971443932,30.805896378431335,29.798101867026578,26.084836809785006,24.449052119842825,21.232766477292255,26.774540258985862,26.351741606532322,29.839832383198623,31.669336380122058,34.348235927445394,35.387212042188025,36.879302785782755,41.2624564004486,38.313472689389314,42.310564181091905,42.55275936757549,39.535473628978686,37.457651828394994,33.68870496014449,31.781833578388028,27.173736022216346,26.94650650932181,23.44399135144472,23.845543242429954,24.370345291062577,25.146783272832742,25.67942820944956,23.48180095786056,20.60679620004898,19.356655971656938,20.125446115036958,20.9019423256277,21.475418469692098,26.399183299460685,28.44000454260054,31.493590489839498,35.16875700469358,38.47779143633617,39.92468219750289,44.126300232296856,43.95046958152064,43.42113167457232,39.900857933055484,35.42800215783378,36.20236008537223,31.992391743104726,28.887637407831104,29.78557864717187,29.14369956769573,32.5135839638906,30.72106291198081,30.088472912625143,32.6668960750894,30.230728362103672,28.608125371921272,28.109860833885655,29.716691450665085,26.812480405347983,30.062550993843125,27.363313269333645,32.26283941834132,31.26359795416823,28.75298195134511,30.440278033225624,28.21743858643436,31.562213528273503,30.371605694369286,33.67588852388735,33.451102165573644,33.413148175928384,33.238607575937095,37.00496670904432,39.33523789531225,37.42161062022899,41.25135554639083,42.76042575104901,41.71151599000849,37.60916638634755,38.353259565442556,35.23895811669818,37.953637853009454,38.38644836316917,37.98605824607354,38.75344397817875,35.18634254472317,40.529698381890384,40.798222841953134,42.91850978738597,42.228692526685464,40.295969064003884,45.16214889435538,47.50819316485229,44.311302523379965,45.2527441869428,42.57676656544736,47.40810735502892,45.08973765903703,47.82366440046288,49.32055284220084,46.95516477354771,47.57183262154656,46.26020852974577,47.324134615980945,48.51968056870598,44.2575013054174,45.81707777850015,43.93914275861561,42.24549622631362,45.763006597279634,43.90992543701255,40.01364750065618,41.895915556946484,44.74084039211727,40.547401694468306,37.78229968840589,42.29797733680787,43.89277121424649,38.04491657658225,39.26238797498558,42.36540333986522,39.24481237100502,36.39653573989348,40.46998799540138,40.335414668546555,45.451220779582435,45.32273573138497,45.69618991007768,48.94171942696286,53.5397160259,57.24018293602423,58.59190178966148,58.32996038286523,57.15906463851622,59.25407400954795,56.323019015821494,60.0059002058359,59.38321272023402,53.1814583949929,55.03937874536687,58.425832967289395,54.60493136262058,51.97197761372457,54.72694584457095,55.14540548659538,51.07213582626336,48.87078884298357,46.89827568617801,48.3156486758237,51.69653573555459,51.400233177243145,52.442254328359404,54.88715575174461,51.2331245270012,48.555567239023006,51.06942768629382,50.40710455166261,45.527109898623614,46.09513121860652,47.94355480472993,45.54200427602076,43.582444069198985,48.346139311038094,48.05597949216894,43.908476000986916,45.940858846619875,49.942477491709795,49.2129100913386,51.89495254675567,50.595714865106615,54.36527497764104,53.30754897216802,47.80343151435332,50.97097510822271,52.867004185003275,49.74240399643539,47.910980631167085,53.788653100514,52.71285159557198,47.377802069332674,49.25600328084966,53.98810900933691,52.19864750395819,48.08359908765343,43.64179978285017,47.174045580717355,42.99086673223651,44.31999077161424,39.029491783386,39.19547877121579,35.07943503876619,34.36482977467288,35.63916276702503,38.24196806465393,38.34255454368418,40.749488809877775,36.4368009934038,38.662254785813545,34.07431180825886,35.055647970409936,36.34122250644527,39.52033927841033,38.49767341437554,34.05450359711369,37.349970768548886,39.738702400997326,35.35840591842194,35.123899856557074,39.755952934886096,40.037571928528244,39.739879374164296,39.50480665131112,38.391778454245255],[29.02755061628641,28.92154294935942,29.610392412754916,25.21042259435657,27.741726065823585,24.735807644307872,23.778244855332755,26.232036848036138,21.973958579418472,20.497085139117775,20.57098651226838,24.510049444035342,24.353020617875472,19.658033449264334,23.187048694072907,26.198762928693174,24.674725069320438,26.862706027872623,27.539866492612752,31.571269465131262,33.16563349025419,37.7114659086163,37.29370899276608,36.55764095429587,35.296418238474295,30.903011503103432,31.097274981476424,27.975808015404485,28.980968392690883,30.01601446680295,29.537731511905722,32.173808630270806,34.408155038704805,36.8668387635187,35.947440457243786,33.6083119632413,35.222773645174485,34.908432908306125,35.29565763744555,41.75636510187296,37.458141489505095,36.690995223929875,41.15841211725159,41.114179338086835,41.33951292407782,40.77529861111991,44.6082725916956,44.95725958027041,41.998810058483556,46.74223661168892,49.48393655252785,47.00148879538371,50.010942728651244,45.152149098537464,50.19821559695542,51.116814500085766,46.68872505619426,45.85854427413719,49.990730889396126,49.63512746451288,44.33957717944394,44.5818119667954,42.33113198641388,42.45989315946196,41.34831201773144,38.5436288684433,33.505206512918235,31.534498397205773,27.085544974300834,24.994651853466667,22.859252784967904,22.9646135955586,26.534798026944877,30.436394872835145,31.467530874069215,36.94835401756314,38.05455745928185,41.122761356548494,41.46100598023959,43.43876267777716,43.354699112805584,44.217079868873334,43.30479637722568,44.773032389667144,41.58553082443367,39.20210165920978,38.96511387194574,40.03287349299012,37.171714384628324,39.66882791966308,35.84138519808157,36.763441642782894,33.758063279236076,33.02859649513391,29.090944211179664,28.13049806169943,24.613103128271753,29.972540177112332,29.34507009020714,33.069390905825585,34.20050744165352,36.46408244862502,37.03399538374568,38.08664431759095,41.752772477222656,38.5811464005932,42.45058803870765,42.09603214550752,38.98662479565947,37.53496095001125,33.53184842061474,31.528076858196375,27.1997911180024,26.287917625026825,23.22791165497909,22.702667886041112,23.598422630265567,23.39526146274699,24.621998124742166,23.420343591202435,20.05785614799415,19.05375626416309,18.42868783551425,19.565016349345605,20.597534396688403,24.959166175436067,27.686065517793526,30.467049921564648,34.16788249134163,37.7324493056117,38.43751379483303,42.87744825582534,42.388835222436555,42.53397865716594,38.36081713900356,33.977165254325065,34.00464046933753,29.79391932897785,26.427958274493268,27.75482808838361,26.357671374964433,29.971896859304703,28.981076407094314,28.57090085859698,31.61433335049154,29.951587738756295,28.0255544635721,28.265723443165815,29.99883925029511,27.58123479308801,31.06972565253427,29.22642961073258,34.44386839618522,33.935198317074686,31.87114475697681,33.01752638118509,30.33957649369408,33.12436188238141,31.740214720810783,34.211732303973605,33.10559093850414,33.39354879130557,32.12313778056337,36.28580569212358,37.763252634604996,35.13846277389513,38.983314358727895,39.91857292538594,38.848434103114045,34.835133393572164,36.05431205029514,33.299272899085864,36.665775200923726,37.70298829948939,37.899936211710106,39.23257562194369,36.094139636205135,41.64182988580238,41.18779636941901,43.24833514380437,41.71843385703119,40.011558169712075,44.37796028794992,46.37883580048239,43.032095503539566,44.12294878289826,41.67332318735964,46.06944887001545,43.09550842962339,45.88519301461067,47.06999612159126,45.079562384314166,45.44700980095587,44.19527836521279,45.36168985324599,46.45406426119957,42.128766883210766,44.02652693520644,42.164407485446375,41.09094985264421,44.638343929344394,43.37926713988566,39.31103883220821,40.7146113987112,43.99218900952247,40.18546676859094,36.68904407972183,41.34869084079229,43.711157763417326,37.796150517232256,38.62737334660179,42.0508957645349,39.47316583402608,36.166716581688725,39.95374353848856,39.32291888579542,44.794942816408025,43.62122201165565,44.36145358758237,47.91078381952821,52.24204992047158,56.067580045981046,57.28128376560206,57.38474766559602,56.1033134290777,58.28955812041133,55.52374955830673,58.871694123811146,57.97678606423911,51.83197582960427,53.727050851987194,56.64365176230804,52.667071040554525,50.16023856046389,52.798017331737114,52.73070961285571,48.650843029536354,46.62401800421919,45.06401121089036,47.04514431933632,50.519143345411614,50.62319970667392,52.05864600015437,54.88468601115583,51.41383215143465,48.301331078252545,51.08762053553002,50.936770499311265,45.92924932581427,46.17982605066912,48.52845295364461,46.41652522420832,44.01496349276739,48.72204768780952,48.88255101363915,44.82981797168327,46.26032131258518,50.23094178027438,49.08398903237216,51.72824607357842,50.34222795630859,53.80172549048235,52.672837153141145,47.06045654438362,50.009745131057386,51.621018210279466,48.44289573877012,46.39189394941516,52.07288505375759,50.76372329686656,45.37131587035937,47.09470374979978,51.658203319879654,49.68692048981906,45.545200669552806,41.21924580364264,44.31874931455515,40.1134977441593,42.02644137862331,36.861052741392115,37.535215755731656,33.86897319177148,32.365692670755166,33.4685715579354,35.57932352027839,35.771001433649346,38.728831874213576,34.71217441175047,37.20702375988772,32.78203133384396,34.53842484138,36.39901132968573,39.7307841989862,39.31799512503149,34.803196598187284,37.91816851178278,40.79280955988671,36.94864049915829,36.26228380163383,40.92848131737221,41.81398153610486,41.788945410212754,41.58936584646009,40.47579876603],[26.462116307331918,27.02451348171881,28.64916308717073,24.63461951678975,28.089904641997204,24.29501523718968,24.14651537294988,26.386336641801243,22.118481975725636,21.8278335833905,21.782393045721832,25.177658940218674,26.19558390427029,21.894533764834563,25.413974227275563,28.502656503629815,27.68313751177194,30.36024269403777,31.79276850860623,35.6043523427809,37.61169279430343,42.154592028374886,42.0447206751535,41.494852278080835,39.93196669708367,35.4911735304535,35.248425391917024,31.781838865883127,32.32901632616904,32.68608182125349,32.24673397226762,34.26409234323441,36.29193984840029,39.27194286366941,38.56295374711106,36.710016462989785,37.874033861295814,38.32954501672826,38.882915623837995,45.33562400519208,41.43785075932913,40.85035365721038,45.33702220760171,45.46797592326314,46.00676112783147,45.42532064422327,49.3490602005955,49.468843381805605,46.23573525742121,51.035428346623405,53.65177826981045,51.04104500942664,54.045385276981165,48.987621615652515,53.87162492073862,55.17143849134144,50.861175779257046,49.66934357398519,53.89917153424221,53.943198476308034,48.617666931813304,48.679855613748444,46.163451859633945,46.73703211847003,45.738795467216825,42.63085630076732,37.82670606591685,35.411581609186236,31.274331989076412,28.629490660493563,26.902187186950428,27.05841822475965,30.218576951039196,34.49320768326796,34.9945025410375,40.46067316983394,41.695384333049766,44.37515877517868,44.812835346016925,47.01420399389001,46.5037339829527,47.49264613551845,46.003285636534606,47.651141653610914,44.73845951958247,42.22976599308909,42.38696838994981,42.90729468173255,40.55207584465359,42.55150546852698,38.887780048022165,39.745399750425584,36.42332405174162,35.21026047856287,31.18341425938777,29.82724320227235,26.24322936195618,31.35820742651421,30.334551458200874,33.26744879694001,35.43608767244208,37.244512773870866,38.65160284237742,39.273547419803165,43.41092901010727,39.889883112862755,43.486339426796185,43.3199955208205,39.85885832554986,38.293189602575026,34.160383985030016,32.908877874223315,28.405513602711814,28.33975165620993,25.72788755398869,25.843931330298968,27.234364235517003,27.548760689879447,29.198817591794597,27.379608513107936,24.12783794067011,22.50893323269188,22.04078774628975,22.36583804035287,22.421240094221805,26.982521383620558,28.518019896958403,31.908580286112734,35.479874651587096,39.37291006209714,40.004944147738,44.42176475252342,44.48110322993802,44.54143479905791,40.65480826906006,36.27426813960652,36.07384759126729,32.34047493697974,29.389645841587477,31.063040271923267,30.437829288098882,34.36316782155999,33.23357278040711,32.367246493399435,35.36221744108162,33.27728446034034,31.16946354794636,30.735586700958113,31.911434157550584,28.858960561065974,31.714539369448403,29.275802886811128,34.22712649269514,32.92129730381202,31.3780815621716,33.22152501689014,31.14168942466574,33.97381381103153,33.33446388378395,35.793694436830506,35.472489228313556,36.242294013918155,35.41643733815201,39.60383874871696,41.200090833627385,38.720366607625664,42.222328938968346,43.37596622107662,41.86971539678744,37.92116790667923,38.90086893501992,36.2497090420249,39.60227161289538,40.4451523327763,40.53095818233818,41.426804825342444,38.34975619500315,43.77182277057258,43.834663709712814,45.64673528136893,44.51866078247736,42.153507505742354,46.82521782914589,49.083476951773164,45.919883949174476,47.47332159373892,45.268148575400076,49.85552792698352,47.18614821754067,49.615196894514966,50.66599603001355,48.39605144413745,48.45046278728562,46.85607649619639,47.68784966435185,48.430551050578025,43.903298471273544,45.35632717824261,43.03104073051213,41.78993885553134,44.87633253434679,43.39623982018544,39.43978536353385,40.573531464764066,43.49723306306077,39.48778640217305,36.00738065101376,40.39827529784115,42.447655478259506,36.3436264934855,37.01075204970804,40.164341818072785,37.41571153467899,33.98608684101495,37.628977081684226,37.405818890935585,42.65503168412286,42.12649253467586,43.04299587048328,46.350980415188396,51.01290810567369,54.47361511621263,56.0922249939737,56.38406367084426,55.48394901412219,57.903614668275196,55.40822064807348,58.98997412337461,57.87330839293779,51.81403873409878,54.07604273614326,57.091898252604125,52.97464170998149,50.71470600429237,53.7276509636422,53.498000516178564,49.27356715949585,47.82823098023554,45.647907489678175,47.89858368342824,51.18110275555919,50.7575051885057,52.296632823096886,54.74441474132436,51.508607114709626,48.40560065498779,50.60383418410187,50.42884385960403,45.53291322017752,45.45882817509952,47.407137763865286,45.138091355467516,42.71342386610458,47.231311583438455,47.0894437981629,42.772619583219715,44.31746933790296,48.29220295904299,47.427925225933954,50.400206263145286,49.44196691143271,53.01675864079975,51.46061566233632,46.0382284295836,49.453017100083386,50.8434863907311,47.52055570173281,46.01858015621184,51.75268946427671,50.129587167867285,44.87747093893401,47.15436320201269,51.55190367767086,49.303580452212756,45.20611217954719,40.67220270424657,43.726599103376955,39.31927324457805,40.7224208680083,35.62217018566853,36.4228468065968,32.478535387130485,31.15703869426563,32.80159785510925,35.21788848482527,35.86545707909923,38.68710819009519,35.009625066702284,37.8417570963361,33.55743715963957,34.25337394751921,36.299924927786044,39.329040549928735,38.97615298937114,34.11617261658341,36.76183213537002,39.654618271781715,35.887109724318826,34.52509327267674,39.14766945407234,39.92894935916484,39.71535173965748,39.633573630711346,38.59157168663372],[25.29197499846447,25.268738238863957,26.46344846406082,21.978020332963645,25.613116012791444,23.128298609985798,23.14879140695811,26.271737995904367,22.608303643773706,22.053104486506804,22.94749861376296,26.7401012886603,26.686241630851953,22.464003218784285,26.72396301885613,29.461360245447015,27.729962430184717,30.592429744851962,31.481616958159243,35.17595268398537,37.03356370855931,41.36575295492286,41.09199398382516,40.020041036022846,38.495918919408695,34.2136951025659,33.99803614012123,30.802564855322707,32.11169653614761,32.93435751949981,33.5142134386415,35.37629494660123,38.016399356083,40.86774883117667,39.544412109393804,37.19150945569542,38.17856460599347,37.87910614633139,37.85125912321985,44.17925405120085,39.80193325332346,39.74963106593263,44.27734721978863,43.857506118526544,44.07330571939186,43.00343116357024,46.9083460877155,47.499350548242475,44.01850733073654,48.47258301946834,51.49583438173433,49.223523034419074,52.62672907159107,47.675226700834045,52.984226943819564,54.21483883025974,49.82964276929078,49.186003943340395,53.53278133493381,53.13386709607059,48.039612207427226,48.73095628247218,46.62513128491479,46.98304793313649,45.48472898168834,42.52622772032369,37.879399615549815,35.855335924936206,31.65108826157733,29.636572927391324,27.6596161373447,28.279006732352507,31.670103183975623,35.46712797300855,36.174565175402805,41.87805867584275,42.47586855116028,45.58553551713078,45.52125088215195,47.20075621521658,46.70624703288114,47.08404228764955,45.81308496493873,46.910010268044324,43.632799060939426,41.69720975901072,42.052216251963145,43.20929983300982,40.90329830979512,43.705559845908546,40.17837254758135,41.563690204443894,38.42702247799923,37.36492935804789,33.106333041617724,32.396002168761036,28.522142774734856,33.34663889930963,32.0917327539916,35.18664356869615,36.68250804584861,38.02249035989831,39.015657726216915,39.156591527941416,42.58404885736857,38.86080602782723,42.27081737579095,41.54684106615756,38.02457049677529,37.07422204271114,32.783137146292916,31.504497794359512,27.365311468555657,26.74133828439081,24.720743332227833,24.098423136481305,25.939026213080844,25.497359955635204,27.964611943126652,26.890978876229454,23.349238367191568,21.811655293563692,20.10324206334987,20.507783910916682,20.80456719531417,24.670691056900083,26.699536788935156,29.790994506350152,33.30759150580236,37.410173606532744,37.32457492136408,41.91102459683225,41.732426532760655,42.41671516846949,38.00056764691706,33.773596813860294,32.83983458630117,29.253179732458356,26.218061459769128,28.34137607770209,27.28146832446712,31.454411428527848,31.05110600840719,30.24722532049547,33.59959157321681,32.18128737850482,29.783903813034364,29.92136150879492,31.10153691320397,28.523818560013073,31.50512129137538,29.93995389943746,35.10884318652892,34.35844978361357,33.23525519749085,34.49839811479751,32.02491741441949,34.26413735231223,33.5064377114456,35.11273985557365,34.05289824581185,35.21621758398847,33.45733665113097,37.954246497678795,38.736699632595595,35.67530415592744,39.04817679847874,39.720582835349305,38.11202846230552,34.312051968158926,35.660234802557866,33.41040289085605,37.3162443799989,38.68382553538538,39.32371189435365,40.682326442345875,38.07994460995891,43.614300712660565,43.052145354378446,44.738418865882494,42.880323198741785,40.65112537625236,44.83371852949854,46.78409656623179,43.54691697962701,45.32795159180956,43.435029895808654,47.60573937544201,44.44945316490636,46.78516590321445,47.50206012090845,45.525910903446636,45.286085073251144,43.69967927985293,44.56726488135057,45.168284819558714,40.60409476323397,42.320010062150395,40.011851569314395,39.3556078387451,42.439883520557565,41.53411727898148,37.45805662279616,38.1384332824368,41.455963891694324,37.867739453354716,33.742990158319756,38.24247904580341,41.0219173042001,34.95387712043599,35.274339969141245,38.734473704902406,36.55961996871058,32.77456665296897,36.133183124425415,35.3718013355848,40.93905386242221,39.356764985889946,40.560804487836414,44.156365387773285,48.49914621182312,52.11281994057548,53.53525378605747,54.12438937924352,53.08733268056865,55.55667932442975,53.2085959464522,56.454904421576614,55.10974323237996,49.12845152683779,51.39707847727433,53.97241096907168,49.741753896618604,47.60093347640081,50.49263499192548,49.83488451031901,45.62745336159167,44.35224030353949,42.549511615009536,45.30120507705976,48.641984597322626,48.59792789078771,50.490450275307346,53.29275253668438,50.24465757675498,46.75496873509404,49.21909973494619,49.53143337306634,44.550754667289375,44.19750004201748,46.639234108986564,44.68584694067521,41.86874670144468,46.312705519967494,46.64311301362836,42.50558251714607,43.444893808957566,47.35366133039691,46.061643522810364,48.927384912454585,47.84547421491229,51.097691193872805,49.53577214776282,44.02980746889173,47.17224155997313,48.31772578102925,44.984341924748556,43.2410243065436,48.76002163044933,46.97144916815714,41.6826372479497,43.76773580156808,48.00680684526281,45.63910025687067,41.532428928736216,37.144581003853716,39.82351998263572,35.443252629677914,37.41679119599202,32.447063510096264,33.67713934478034,30.23678904863201,28.17549240431207,29.577709171725978,31.499184760839448,32.19486596888841,35.4945202377598,32.12297694741499,35.17102538334991,31.10774125585183,32.534665355814965,35.09372504401834,38.23677031825932,38.47458891280507,33.641505047020814,36.109259323160614,39.42542226521645,36.226432346517704,34.53490357564164,39.12221793040221,40.49761036119532,40.58557181771165,40.52509430927028,39.49072771637753],[23.903776015883004,24.275206825061414,26.31097399131197,22.102322247580545,26.869873215645747,24.734469444882127,25.743702536923138,29.129634483831605,25.98217259466209,26.277029757372794,27.49923761284409,30.973549540104074,31.287150252077076,27.457961141476652,31.93180100071091,34.5433653329314,32.886260010865,36.0809441462992,37.125726497889175,40.63593558822078,42.61895366229971,46.82832802316221,46.61551674835203,45.36669735580488,43.74455931339663,39.55847183168018,39.131555348343724,35.91511689141225,37.30143751418034,37.89739851345143,38.93686789247128,40.32006592568467,43.064196912020805,46.19292080678708,44.75351958993867,42.505330941735345,43.10285262113065,42.942590959029744,42.7111309385058,48.90378522533389,44.550867751031596,44.91290710032013,49.438876431419125,48.81333482993387,49.00966038509169,47.631542018930645,51.5369687860956,52.299898882026014,48.523425001061455,52.73421859002677,55.93351081910292,53.81036374300095,57.44004804080221,52.45245553830659,57.86494224361971,59.305361519295545,54.97167849045994,54.40335542229679,58.85604321867591,58.45890329168342,53.48840328624728,54.37595404734588,52.31098856217762,52.79774459559392,51.147474807965914,48.11793252839191,43.66300757204892,41.591718552416644,37.51472208427523,35.470651265358036,33.59298192678323,34.31055788026879,37.62782461579924,41.441575978673164,41.993099990721575,47.748829337726036,48.198893768287924,51.25542827905293,51.047034004200796,52.62055206835351,51.863874294812824,52.001928839888784,50.44272298155336,51.34239885051326,48.08584226733939,46.41339290459081,47.14346733398612,48.247021406599984,46.30715401235492,49.141190933083415,45.775988014507696,47.300903309155686,44.05858778792034,42.771737747269896,38.39876610946263,37.66690158586807,33.688154063796254,38.19584959074295,36.56606430544881,39.05930614061005,41.04009991084192,41.72617915770223,43.176207352222384,42.65663443982675,45.993186112902485,41.86922891183801,44.82287524658278,43.872538461042346,40.007916583278224,39.441457551422246,35.000222202729226,34.4770324166583,30.55074080550435,30.31947245929601,29.073435773272113,28.511837979353594,30.87058883667961,30.343306757215103,33.39561024083698,32.36525355074493,28.808349018369405,27.015376528568353,24.860354766434078,24.756021936240096,24.429975767447115,27.812144620570113,28.985617769067268,32.34292363745779,35.581432338627344,40.077492291267,39.34431902188015,43.95657201882221,44.12813763852974,45.21577708570447,40.73586644998439,36.721935279171745,35.002564373662686,32.09921967609068,29.468265571747622,32.123488575108354,31.33776755522905,35.77362340676971,35.76151187965386,34.72481688511725,38.20120169934726,36.90484563342785,34.25982131014763,34.229119274367896,34.94529053325632,32.18747333166598,34.60376974015358,33.07906502655456,38.01265437699842,36.848723216031765,36.498536137017894,38.040236777897384,35.90859819621003,37.80201076637515,37.62091285752392,38.672887548113586,37.821356655483974,39.59224852529558,37.618165539394866,42.258440312588505,42.580200675745736,39.254209581628494,42.185191694967415,42.62507088482754,40.58331202123399,37.05909210593209,38.47427695462508,36.68309379038874,40.90454975670121,42.454075894220054,43.358885371797655,44.63500958192797,42.401694799734756,47.83813281613539,47.31966148217498,48.70750602067545,46.72167843132662,44.05736052135386,48.09891351970493,50.021860254453635,46.93170128071183,49.23270437244209,47.75584713287177,51.738887568452085,48.493110257142696,50.469928193915806,50.811847038011,48.871866737301715,48.12802586591499,46.261962636195506,46.828304643976864,46.94730840663208,42.22416209560072,43.67653605560056,40.91261503955543,40.616925792618574,43.110048399315666,42.482988146566,38.513944515841,38.43767538188883,41.625480183130136,38.25110037421975,33.63011089587381,37.77315566637773,40.802772541344744,34.64747764504662,34.382786823362515,37.70309505432093,35.90801111075253,31.673805480880958,34.42849447004358,33.703863623081475,39.18995490219076,37.40488411365715,39.1856087873754,42.692414614323084,47.10291921527295,50.321475065530045,52.09308462555536,53.246475492128646,52.58431476641057,55.373722721492776,53.5230972646805,56.69861989419626,54.8743452732183,49.14741033229663,51.83766889663394,54.071897578546185,49.6048932574594,47.91476396032902,51.08510150450339,49.80981523760139,45.50648879653071,45.11628307895912,42.994601405070505,46.48152264836885,49.61165669977835,49.306245803940236,51.60585750363021,54.244101354952214,51.65860447268338,47.903844676320276,49.87880266532511,50.57403816313444,45.72472205251755,44.756290136662884,47.10455110127243,45.25987015636783,42.12098809258093,46.18573095284001,46.547551970441795,42.29119473169375,42.806559099021186,46.59977247265174,45.2945954984744,48.45711422818167,47.8233204496272,50.87407259821939,48.767187506774384,43.50793924420723,46.93935947836647,47.53242392376892,44.03863782387497,42.80337663430444,48.084412356554466,45.71369221909982,40.65904432221522,43.24009539356552,47.02379798724249,44.164724506068445,40.172143210363636,35.742503134874774,37.828238060181356,33.24726745214799,35.12482766864678,30.52875932703739,32.444479982758516,29.253643932670325,26.666482708505786,28.55821937911225,30.273236491286227,31.65233637758163,35.21437607179126,32.677958379424695,36.242585209515084,32.65550586546533,33.47000238945313,36.60601596805181,39.42813578730942,40.204934062826176,35.1179442715789,36.82664205513347,40.446719506124694,37.84583780509979,35.139041141650694,39.535818554221706,41.239871113880234,41.33965884133685,41.439576544369416,40.51516730470557],[21.432609530663306,21.077487080889153,22.320800606143234,17.778384389627487,22.189718761492006,20.847870176909346,21.724051834771352,25.529384930155114,22.85143046169583,22.95161273691012,24.7608382745027,28.358080009492955,27.98672025412354,24.447568824455235,29.293029095336674,31.562548671067947,29.47553148296254,32.8936794889889,33.9071053108363,37.11312377816322,39.21784015902235,43.20230112645368,43.12727656298171,41.71884769072521,39.88005965020008,35.835705642643646,35.158447733781266,32.01610495474225,33.690326560954105,34.392007659359976,36.20508208820996,37.26770837535583,40.40582403195712,43.50766270002649,41.64441655331242,39.20271435479392,39.52603265697281,39.08063663024561,38.54987000495476,44.57680903475549,40.17656847093084,40.92822410631555,45.428568599783624,44.5884042662554,44.81921818452276,43.22156466729107,47.14990681115109,47.95301797455374,43.94378890744297,48.0076328177416,51.277376939081506,49.27010126717596,53.070134048921105,48.0986049212435,53.6413051768431,55.19737497729499,50.91748674702536,50.52750234156811,55.06724239726036,54.602092479452594,49.81827714051283,51.063508199740184,49.19782632030418,49.81267490553806,47.83669279504741,44.74772677800001,40.66261653842283,38.65148246904139,34.823226671576386,33.03365463723968,31.254993023248005,32.51277231623436,35.632095506109245,39.16112252781448,39.50668973691774,45.40933063966118,45.30330896515244,48.498553032392294,47.89658494355451,49.13456976747208,48.22800672022432,47.991325770253226,46.442351165861346,47.03803208170151,43.671928907585155,42.32310398599861,43.29289342127018,44.64860253381101,42.95023134600261,46.195529463289525,43.06893210260458,45.05249693000235,41.88968631834091,40.58032431002932,36.05512686035255,35.82739221196003,31.66808588263489,35.76569832830054,33.95155934326631,36.51994100256139,37.97149148063146,38.336699410418994,39.49596523285636,38.697681079273245,41.599057897123586,37.43754492765285,40.315580883653915,39.12307127464761,35.324262671459515,35.02357682671017,30.583489532156676,29.953617942260696,26.29830899804745,25.79148081217169,24.983777393925244,24.164789027881902,26.86369042256152,26.163655636000538,29.84779313710205,28.98196893602778,25.424822109024646,23.494766995795494,20.75107235715431,20.428105297158094,20.084041845110505,22.995949283893665,24.421485474658326,27.53351836982078,30.73264317679827,35.232219029373596,34.274592652388776,38.9225784359608,38.97226738054988,40.25442817912138,35.619562665524434,31.693805083602577,29.764570464943485,26.940209830209138,24.389518958194206,27.23872921448412,26.614523016761446,31.203924656768717,31.40934623170044,30.212821802042626,33.77251780291661,32.72985447740942,29.929885393694086,30.08769681110802,30.725116715662708,28.28890110357488,30.761465133722908,29.852906388420788,34.87427520260419,34.25346063552672,34.05066414941351,35.07886231696832,32.68988237223578,34.17145903785292,33.91416652898792,34.44621941436854,33.257365680572775,35.27980396113262,32.95542726528591,37.67752419869203,37.65917182702648,34.2198769540202,37.00242439285498,37.39898379062613,35.27292719306464,31.797453754423977,33.24201150944086,31.599422692273123,35.9726387728036,37.701374402579575,38.851124129405285,40.311714622619746,38.391476430587,43.80910789396746,42.994771225625364,44.26888453372484,41.986756617204335,39.35752144011665,43.17083808446928,44.98348404953573,41.90482490052983,44.35681586132835,43.09862472646267,46.92411012512536,43.648001404964006,45.44429813442502,45.66157289589278,43.73245804189674,42.877776743371115,40.99520965832441,41.56709080902669,41.689202929096275,36.98819102618005,38.56665283214008,35.933951667527985,35.798627893078525,38.4589565122036,38.04606473977298,34.00875034850768,33.954509028677165,37.394115089736495,34.21422365992306,29.461503988514345,33.800754614956105,37.143260793965105,31.131102089742306,30.944106578162458,34.518377467936936,32.94654463337648,28.782675764732296,31.66543424336322,30.54180133108195,36.2418236922997,33.92985197430095,35.50356409703784,39.216675008103024,43.37542962895274,46.924693014614036,48.35460269375481,49.343658272862136,48.413380205294,51.06769347289334,49.08423915643035,52.11223625131925,50.387160851805554,44.60121499143263,47.120202103019466,49.29235248925914,44.88184210479522,43.06745619183297,46.093738208059435,44.893473112537286,40.63458356383447,40.002358176587414,38.1194613904003,41.5777612158359,44.784230556263175,44.75140549226387,47.086632574044394,49.968026748927755,47.34729453549131,43.47934063073116,45.77781893326119,46.62379328006326,41.70993745763859,40.810817174827086,43.504948656480536,41.84839897439549,38.61515049939462,42.77450760659943,43.45332587650585,39.44161965587663,39.73576067675932,43.51183648365401,41.92724810878003,44.834951724211365,43.90329632857813,46.83963633027037,45.01904762509787,39.60884687424911,42.72169866716238,43.45260742263616,40.05368527169023,38.437208948253584,43.71267999402789,41.5766937884104,36.39002435703358,38.63633398471805,42.572411101985544,39.93906078423959,35.88313780113976,31.546708826764366,33.839651055361934,29.407737011722556,31.603359471111858,26.844615853009604,28.572535429139375,25.59803835672741,22.874913542178138,24.330812523404205,25.906859598509943,26.966912724689912,30.608659314969135,27.9190784387633,31.395544720167138,27.829916093368734,29.21979041285817,32.44261573084293,35.40362442206007,36.37903040036037,31.476625720077088,33.32002961570183,37.06307390132585,34.69408577423667,32.209547538977816,36.588545421645904,38.57514081129292,38.90947991805917,38.95715325672727,38.01539919478043],[24.48538372992133,23.874781393529723,24.89066452358805,20.329000400629752,24.678422771598054,24.41061900349686,25.315761951912755,29.403607804489145,27.039685266038013,26.842738988344212,28.854906691573657,32.59715051176138,31.70086223802793,28.142625815987838,33.0433484761675,35.190430892426676,32.649069523916076,35.84238388404668,36.26730271263308,39.49502254646594,41.25142342480937,45.08763032459259,44.72037014550869,42.942421022551265,41.39104966812408,37.5469210358275,37.15617362129544,34.395219330236415,36.546758342422315,37.65507748167781,39.67918082625594,40.929228619230194,44.23055201530664,47.0950907211079,45.03991409220205,42.29694418505449,42.73524813093155,41.713184471945844,40.850516271831424,46.71402793791056,41.93721624535187,42.88014133165701,47.31651558499398,46.09307455585876,45.926867717322146,44.02814049140709,47.81529575168002,49.087783104481524,45.124372084758235,48.83905308842541,52.42957464673942,50.74189815512133,54.74184500862277,49.98559776986468,55.761813347239126,57.08180672311938,52.74796481262854,52.80611525604498,57.29590949827745,56.41303461482659,51.80241335484362,53.365661069408915,51.7957384232233,52.049307630815406,49.8836183179486,47.085478857626185,42.94746339079499,41.35051516217696,37.372165309812985,36.05199601458993,34.02084633624831,35.20305143392865,38.59154769538613,41.79035943786164,42.51624506145034,48.38204015285897,48.125866631245074,51.58494937873797,50.836839388076704,51.80146024862348,51.10735322537255,50.57594138338813,49.35192189455658,49.61655071600399,46.01258677217203,45.02106343378175,45.90888425605212,47.71069100323166,45.83239752734318,49.47558833192783,46.32239834995815,48.372841736884546,45.40807426735692,44.33944829200163,39.8620479484038,39.81705326955939,35.69328077189097,39.823354303880485,38.09468657034157,40.838396587961306,41.89915197766968,42.20323070859524,43.02455991071744,42.11503471282704,44.512061466990346,40.36616025755391,43.09169737058055,41.5153901867043,37.78768667866474,37.943566208110234,33.539328732333274,32.843200055878626,29.56288609881396,28.601777848768457,28.040354167641777,26.66677585267099,29.321228381572606,27.984721549707224,31.75678848212673,31.57216584308351,27.968936757398165,26.417100998341287,23.150596069461983,23.16743788792361,23.22400882406152,25.45970569837079,27.317847428164857,30.004590946022027,33.047845713439486,37.53656945555285,36.01754196609062,40.69426801950769,40.47508114509456,42.26264035264582,37.25957344668479,33.58003524837078,31.078282421271535,28.443378137698645,25.84254175657637,28.857752042916108,27.580404485799484,32.06085982438687,32.89977113882158,31.995213789700962,35.70310280695105,35.23156928075176,32.42044369259269,33.07747597939238,33.83763731283725,31.825341199558473,34.381351840786586,33.92619628788546,38.95636502536315,38.59098093720872,38.47336063518944,39.24545783310643,36.67287823507719,37.90645130544238,37.46447836350254,37.597703421060025,35.853795139107135,37.920042415855015,34.95161675399794,39.74963036865531,39.12018867165297,35.224383925082535,37.92231666954836,37.75260563207413,35.68483980574308,32.45848093601959,34.299504992052725,33.05802675432638,37.762060367260304,39.87665473063372,41.37942366017802,43.18271227111616,41.51237299183616,46.93198075992548,45.681360046980224,46.93434650195195,44.1418665033601,41.807915174258206,45.14290663095853,46.632132868176186,43.507740512702036,45.95240277586665,44.84480641107032,48.2420850059561,44.507408629954845,46.34608650144765,46.30713310099922,44.77294568380296,43.74529573999575,41.98147320166123,42.631934607686695,42.64940267691167,38.03402503633837,39.86158851939782,37.306709135949596,37.743863077856616,40.30300519109994,40.40053303132493,36.38404783942148,35.88407411431386,39.54513571879131,36.803043250372795,31.63031942833613,35.85290102939104,39.70614709671324,33.87331948405266,33.322681748379246,36.97555193131498,35.90833491014886,31.548028290891768,33.97351753013251,32.499387838051206,38.25312037738356,35.066709384488526,37.026982616142696,40.87057874179719,44.698752512967786,48.20419938023317,49.54963494272741,50.9105877930065,49.951451454758654,52.662350752295346,50.89565348251419,53.58336816906386,51.61493287909631,46.02739652738546,48.55496853383272,50.23870808282204,45.755125691369116,44.14485167853074,47.0126922987722,45.320107440683834,41.14426345451916,40.787363099487436,39.327148140361764,43.231155649645885,46.4218460117986,46.705274005953974,49.31136497755461,52.407905332262615,49.98845475771871,45.891643262432254,48.31095575742153,49.51217652164001,44.638409098273556,43.515070964639364,46.47479632394041,45.05425379643089,41.60480348009309,45.575140867297414,46.5367236822518,42.67913333555038,42.52675322819322,46.163897897326066,44.32070203637292,47.16069390662556,46.23210175928745,48.84122970800755,46.944935952438854,41.623272681705735,44.500560241407534,44.90687105032157,41.52990499298845,39.83171801925119,44.75562979093537,42.37026698530324,37.30908088414807,39.40737518501025,43.01170996090662,40.17611608438371,36.220186938299626,32.144731197302896,33.76164423655379,29.404892947270078,32.1544144996483,27.824490695484798,30.112320274753742,27.76904430874288,24.36715856088821,25.633083211855823,26.528007577870792,27.76198657282827,31.842015330636166,29.67195975145864,33.2568668748101,30.047668274909412,31.95601399848759,35.46215616639835,38.40235034033614,39.748220489814976,34.983389947694086,36.61476572542533,40.53966469817111,38.55423271095096,35.887010588983834,40.1175766350835,42.39745692450704,42.85987174613527,42.921229479102685,41.98861363857914],[22.21516495720487,21.478809518933694,22.626143765281626,18.347708166822642,23.145769648231276,23.494338887542046,24.978804941252097,29.236030233255175,27.479644734409764,27.79561996182862,30.16254321362307,33.63983772820268,32.7974256358271,29.716532932362092,34.79283724475928,36.69717467323534,34.17240248046184,37.69416606217424,38.378378462290826,41.272763876070215,43.2605810174885,46.88984503043321,46.735942002860206,44.8869502418102,43.08071657919617,39.38002340623611,38.62785134848694,35.83742196068977,38.005775394089014,38.8817394265726,41.50363496839592,42.2129334501682,45.697769989127835,48.770913650273705,46.4940054099284,43.84016507859602,43.83321834245382,42.93416942505071,41.87497093688658,47.507955714128244,42.9021321307818,44.2871213203088,48.66863792229696,47.306957963875455,47.26953424630136,45.135968265579734,48.92751646840162,50.19052671990992,45.91122927554862,49.40720334737398,53.03485503044988,51.453759993777545,55.61851596699913,50.832405209346085,56.63387429723344,58.22846060874551,54.01753646816821,54.09690604379077,58.686530196310216,57.8991981564735,53.46920980041377,55.25633856034984,53.74392008459354,54.26390875291705,51.89499706414106,48.95318391534218,45.19884996968794,43.488571086615494,39.80897535220152,38.45841057551806,36.63893825900402,38.14171166444768,41.27712164034675,44.42910762611181,44.82727201182193,50.76887048804026,50.17546074933791,53.56591714681637,52.5610915448557,53.34593408911767,52.33067028781879,51.51260249726628,50.01107455973349,50.051186307588736,46.512011835078575,45.80660499540272,47.101205830884545,48.85226892066463,47.42742574228101,51.15739450954793,48.27088039524636,50.61253988224414,47.58012625896865,46.29263098552143,41.69591767774662,41.828941888400855,37.59017959772993,41.265768172491605,39.2088882049683,41.51470950353158,42.70201899699255,42.40266830810076,43.452513524879265,41.966702633145644,44.1303945009696,39.738562041753866,42.063195869187275,40.277360677727465,36.38237494543844,36.89764536218536,32.48725197491307,32.333389064643235,29.392226734497637,28.70071511947502,28.86818711532542,27.60333661635162,30.69710359751236,29.444115362884713,33.7922812689389,33.50856124767935,29.998290357816202,28.15953791029719,24.621785097443,24.107124467799764,23.63684252903887,25.296602472084487,26.474603952406465,29.191851708015253,31.92546834511587,36.60842033493172,34.59717283854435,39.21255016206589,39.265805504665735,41.34003825478615,36.38041894041571,32.96111161995012,29.90365876287075,27.92747051079095,25.821872730533507,29.19215834648021,28.441495172439893,33.084369993719214,34.11996617539106,32.901216372138585,36.605696520467234,36.20798300977884,33.21606264779372,33.70516972180111,34.04763605317452,32.040143338185835,34.1405835466728,33.95894045380158,38.752973259551105,38.351403295985435,38.81534079055341,39.54545202524598,37.16139274463098,37.97451770984158,37.94196486874656,37.497752578176765,35.893706454762956,38.47937534914488,35.4034516088929,40.22470181736488,39.23152472425446,35.276160691129945,37.4916022828998,37.26105692680887,34.80831474995068,31.863708056240235,33.62904594751996,32.78052645049,37.614068110445054,39.82657950647407,41.545363521152886,43.27250935830771,42.003066314829624,47.25858738938372,46.00725759415336,46.964646826306065,44.08312555364991,41.40761877203408,44.56203095926231,46.023451744339965,43.08201529522167,45.981128833267285,45.29048682849722,48.529807870392624,44.889348420089455,46.30200722358321,45.96204948513514,44.378838752354504,42.938648368676894,40.93616772914534,41.31402744121226,40.96194388216627,36.29092764487159,37.88766290003162,35.066281282087665,35.78374060758642,37.93669581055109,38.29828062378123,34.40444878975393,33.392388924929016,37.000167860297395,34.53709846593169,29.071153711068625,33.04436754119843,37.147553401326896,31.443122367856162,30.53776792348416,34.15273641320604,33.48355692131882,28.963786246940323,30.98086159131065,29.337065785429377,35.04958675040593,31.496755003485532,33.71830266423462,37.55400906877348,41.27499269565357,44.65518593638611,46.059432604375715,47.690089959790775,46.873034287126394,49.71869886987879,48.2403910310154,50.81918975122129,48.59330805743028,43.192368408405706,45.92412074318193,47.37152291098666,42.78606044502139,41.44859154026003,44.45491658510025,42.41533490284723,38.21305419689595,38.40517070030346,36.76579386621016,41.11221533564292,44.1352506486787,44.31283153110698,47.17682183855514,50.21870423041061,48.12188414918096,43.85132238680459,46.032552108811394,47.53786816548915,42.79005384302723,41.29444074233401,44.303089875981904,43.06026366169707,39.40497758986848,43.10922749458848,44.23145952356479,40.47376923645527,39.93216078440312,43.436469860792386,41.4705067554295,44.35307157567728,43.59838155868955,46.0013375421526,43.89048222365809,38.722656061511834,41.62749981169796,41.725502122774735,38.31593254484001,36.82341197319386,41.546416755324046,38.898941124099686,33.98425851033301,36.278776993688076,39.61912672077115,36.57547017767822,32.69555056186686,28.660127013286218,29.977755554605128,25.577965145133415,28.371313383092357,24.2816774523862,26.926932756295972,24.950434066773333,21.171577987042518,22.537547509466982,23.1890885525207,24.772211356055614,28.974629664090497,27.39808232674683,31.244213298446024,28.47654355855004,30.098329987633427,33.95708087266654,36.66625742922846,38.43437390289239,33.68900451161164,34.82643371914534,38.931021482816575,37.49437402005783,34.32390940000667,38.32682424842738,40.922026603599726,41.504703010956206,41.6479631623417,40.81580912717864],[20.95745917728385,19.546628919189423,19.750377024141148,15.233684363337018,19.365226241847402,20.48215152691988,21.697985181833495,26.148532852307913,24.80826863557922,24.900547663874143,27.618381467136334,31.086530126974594,29.71933014704211,26.964534304377473,32.14442952526118,33.74133413290181,30.9573557309392,34.569724764287436,35.2546993462153,37.852015941166364,39.93511745710779,43.355458861476734,43.34729956702885,41.44663918295107,39.452656518815665,35.89773714210521,34.92783314088236,32.2248540092018,34.55038108686343,35.48279855613089,38.62333496470036,39.09075079248783,42.80322787746724,45.80318478483227,43.25372889334369,40.50345980744563,40.29664131117768,39.210704043316994,37.955436965388145,43.41545175144271,38.84757490308403,40.50085098960352,44.82049659414062,43.350283191587586,43.392718289105254,41.150603562830554,44.95363726323307,46.16464448844162,41.73476150260905,45.14886325564775,48.76873435091497,47.23448923517402,51.47531831337767,46.70992154991664,52.54731207449099,54.23191212281826,50.095441454249844,50.262130274502105,54.88331684636589,54.09530618740551,49.82097703841007,51.82647966533137,50.44797137559496,51.09918991128969,48.52683048198576,45.541570155016636,42.12767589078279,40.45288343211663,37.04863474174115,35.88623448025993,34.209047168797305,36.08997468647274,38.977319617581465,41.88640739093261,42.08862745448134,48.05404624171653,47.065042597276936,50.50028267455202,49.22682309220065,49.77543909181778,48.652500899777664,47.58655820704186,46.105544836509836,45.9430893052871,42.36068238917426,41.879913797072604,43.33254916704218,45.23228585590362,44.00483504998226,47.975018742030926,45.30057667013465,47.944446086097166,45.005517341793,43.71911433542222,39.09519639605101,39.592300752187505,35.32064413817082,38.62615401531977,36.498518038366214,38.86608128075748,39.59409743955541,39.11432627430776,39.884077089210194,38.26405894199437,40.08004324942867,35.742763095295,38.049485039865715,36.11404791455568,32.34331623448874,33.021504465516394,28.683026815614397,28.35902148571518,25.702726276917566,24.756573525292303,25.278219018910296,23.837267867413487,27.12473606422024,25.79835274664964,30.557077654682395,30.36053878359744,26.97001791328477,25.076494057675003,21.20854709746002,20.508379643510978,20.055532916649916,21.191879780585097,22.639689567767153,25.044585073421118,27.73733893600825,32.34482841753978,30.2419247374922,34.87356009673436,34.788851012291474,36.9471787652171,31.898594939224232,28.546135576053327,25.405003014912623,23.455705159221615,21.44847466523263,24.927750835855928,24.389318218294555,29.09490702313354,30.234506339381344,28.87918166709168,32.57769585456775,32.36084930916766,29.306862327917578,29.936585976137636,30.231099773242978,28.551488128576253,30.699428393103084,31.017777733999374,35.80858939216656,35.88559882284259,36.35028638471713,36.64951824323423,34.08115409843851,34.58640327307638,34.44531147529325,33.63725500947702,31.76799251074465,34.48833731487476,31.203580960025135,36.024020083216215,34.83084385945087,30.853659832571985,32.96244399200736,32.76863820049757,30.27000376382531,27.32606263861217,29.079970682559654,28.313470629886655,33.203296724083536,35.514970478948634,37.38329176355111,39.23447764983459,38.192356193546026,43.3793422816273,41.92357270985287,42.809313000381714,39.74934650888698,37.146905054772795,40.13257426262291,41.52276599398312,38.58940637790169,41.556948017111296,41.0056990691913,44.1541230348433,40.563796816194824,41.84115350263751,41.45814741501052,39.84795763785499,38.37677174307132,36.380347459155445,36.79450352245904,36.52195126797384,31.879741042292952,33.61724262709795,30.982406422971703,31.75702338753696,34.16242768674079,34.63440549162184,30.682305473281374,29.847249733285935,33.676655772382965,31.338203075153487,25.914594774788547,30.107706291604508,34.36871156519448,28.856289222544255,28.169291809771657,31.980877905529816,31.392700558033287,27.11408444304127,29.367235347910245,27.42653326559025,33.26286401256257,29.42081779675216,31.27006531574602,35.26720013215879,38.769942880706246,42.510525364176395,43.552593563962205,44.87579571693808,43.7570532603189,46.41253460333753,44.70334520814387,47.20062516845122,45.18257312135154,39.660589785254786,42.15949561492531,43.66857803157771,39.18079033339055,37.6218290917895,40.4660808027532,38.656791327444935,34.492434029146786,34.27101576384753,32.871871141728406,37.03453157370047,40.16089998311247,40.598572876571666,43.392844527655946,46.64013221306492,44.42499922015129,40.138554389817266,42.662040933442185,44.189000584524635,39.390223450333146,38.08563548327512,41.36088629492066,40.243949577236336,36.61700790244893,40.455811754491315,41.79672091912759,38.279687246269205,37.68581458999654,41.182804901925195,39.02889186945607,41.62722015175867,40.53655161381362,42.902223924064096,41.16024924049825,35.82834538583731,38.40586218208773,38.767823248194546,35.48451551065083,33.55472956790007,38.348965709279774,36.066604425927686,30.9747450021265,32.863928223102,36.48284885104942,33.77502739148362,29.798810589917267,25.843397892339535,27.57056078996499,23.384032275402028,26.424369629221054,22.094942747508355,24.32920336100482,22.500625732112088,18.802060168681983,19.596783251578188,20.173725039855007,21.2603690494858,25.471277885828446,23.57312534269606,27.23749513643767,24.436171579377035,26.660670901734644,30.452650427317653,33.301231312689815,35.1221690344984,30.62850877686175,31.989478338862853,36.08417866119419,34.73965188672075,31.968701871006715,35.944324722230824,38.650114880496325,39.401730140432036,39.478335969609866,38.635614634798976],[22.115545817703975,20.93144044627235,21.101969428564615,16.285900734875533,19.936628735319832,20.02966955418698,20.58300194594816,24.818510022627226,22.743690731299576,22.342956135055687,24.702561685919378,28.447160760307057,27.108259280627827,23.84556003658271,28.907757196053858,30.779582796894424,28.05629744249221,31.44449192482284,32.04940617392124,34.98856489283114,36.96837250254762,40.66012191669587,40.536913659057966,38.81182711549768,36.95894925793684,33.16677157015551,32.45734956297087,29.64027348112946,31.83639404161087,32.90274192594812,35.43059807593485,36.383236634012924,39.90242560138792,42.77095407081146,40.46886857647436,37.691219143133885,37.89660421024327,36.84052809128058,35.875047252601064,41.65684284520541,37.0046422254873,38.15731259125467,42.57931742019094,41.36232617590019,41.404595881099326,39.490092507888846,43.35537224869774,44.42414910533539,40.28222855360406,44.054861644414935,47.54358361550318,45.78919424493935,49.81246625629869,44.990425010695155,50.75457494112191,52.24146428014241,47.98020693947989,47.98861754399303,52.54557276200826,51.788367309782195,47.263060172443026,48.96306272212968,47.436871106078584,47.943281490747985,45.6074770148261,42.658028065280625,38.872272959695785,37.17397700399177,33.50527534340203,32.24012912503249,30.422733555013735,32.070716122832934,35.12663629970942,38.17959818014231,38.57931327513179,44.51702061940432,43.878145780775675,47.32536088372221,46.3308286492357,47.13550084847581,46.264189756908124,45.56691294230213,44.267508702935984,44.43272166934145,40.838702346487665,39.952231068401055,41.02230914397509,42.856100025293685,41.22142992824975,45.023013446433175,42.08634594819037,44.45739970379211,41.52055970175694,40.376781301810375,35.82612770803323,36.13136929155828,31.930968238677483,35.678303598881485,33.842538085691935,36.632788940937424,37.31182164692472,37.46593534042915,38.08519041348859,37.09276800544387,39.30668417330832,35.215218058073155,38.008435612785796,36.41218086517694,32.7946241551001,32.942190745382916,28.58810076859064,27.68205163299114,24.52189524188792,23.393478898950892,23.050295092428232,21.625165842279834,24.51602289555003,23.276906223146945,27.503913184244322,27.199375812269718,23.679729572672198,21.931816075104052,18.394176307913412,18.151979612866306,18.171169118495182,20.189360460942165,22.301938712619126,24.81723687661494,27.91890741150635,32.32626507517708,30.945663151298,35.635772805333424,35.34370179033763,37.02781996419623,32.041519670392,28.308640402470214,25.980329189980907,23.204621807208987,20.622240902773548,23.683127925560147,22.77865290506235,27.410380508705586,28.13729580639475,27.001656233015815,30.69559842996237,30.22192282398652,27.32979672004012,28.000454735566564,28.71294140268225,26.901092040716104,29.53843367297236,29.45971439984617,34.52520961675067,34.59507723529138,34.434278337171385,34.820699058515686,32.07822452861595,33.08671358436062,32.55739166637783,32.46657001735186,30.596478250248552,32.76595841427639,29.769512886514985,34.576800475649804,33.963232247833446,30.183245055881283,32.85842054055137,32.9257719940796,30.82542582544479,27.475726992653726,29.182085713547945,27.836786756159665,32.50061824167821,34.594048733776276,36.13111417331907,37.969792873045456,36.42850470395622,41.811739618513535,40.47723447592362,41.68269703828788,38.862440529235705,36.52393103565805,39.8629359880421,41.38999427500278,38.269007366041365,40.76340847452966,39.720423891410356,43.19007482542019,39.63606809744394,41.35575215309827,41.3775104614318,39.684253934006016,38.71039670056891,36.93019512860347,37.61348805279003,37.77499394444801,33.170774148711686,35.069709653485,32.70122232184742,32.979997912095314,35.84525841130283,35.86979636877109,31.785052652923273,31.64460294515595,35.44339770346618,32.67345508366702,27.707700978903535,32.18320063831953,36.0090841452986,30.311319020221436,30.103404945405543,33.917721937905945,32.76505224831061,28.708470734875824,31.507731270843486,29.86413070770728,35.7106275688356,32.53732009858822,34.011089253746086,37.95803015308001,41.674320442565225,45.53623570666059,46.552156675909956,47.48923818179848,46.245437531583434,48.74219870404565,46.6731335236988,49.388328225892366,47.71450591382055,41.952741169944105,44.23341504348744,46.14187214538098,41.79583795649195,39.89482039435478,42.63975101068162,41.359180182299625,37.211328207500266,36.328048517600365,34.97831353602509,38.51330972429094,41.814559187840274,42.25854752408611,44.69301427940822,47.92775637729606,45.31373910102029,41.28402671396142,44.0156176578923,45.11531729487053,40.17353555569204,39.32942549834777,42.46990150045705,41.097817693338655,37.75133183070296,41.919593037744335,43.008853294421904,39.343116178037185,39.282627515724954,42.95485297384421,41.01037864022141,43.58747859864084,42.32288851507256,45.00047899715173,43.49868745016116,37.995133110223016,40.62112107446274,41.39729853507276,38.14596575570757,36.051454820307804,41.14891193076874,39.21065197365782,33.957672038596485,35.70007711709698,39.67288174138987,37.24155789239168,33.1803271367567,29.114836364690877,31.33233209635889,27.17015843794973,29.946683732700322,25.274279572497715,26.972251344630664,24.5515661982349,21.4852005923572,22.27882035246332,23.35009000276087,24.02724609324156,27.919707227157243,25.221621033186775,28.554497122920626,25.149163404736353,27.514448592007646,30.837519318209807,33.9436785345925,35.201362032958826,30.644485080151608,32.59964415733357,36.455167777547565,34.42223229654025,32.23515445346824,36.49527075499476,38.797383746961785,39.38879519820334,39.3737829050554,38.43103878752009],[20.088118287770424,18.409516071444436,17.779200157805633,12.864375429504566,15.771433953019708,16.21994883703697,16.53220510827293,20.90396432570858,19.258277682624524,18.84920841221134,21.591717817097525,25.195050693744513,23.54990446248134,20.7521836801726,25.939847938997012,27.49331462863987,24.71007865824967,28.38119569490791,29.321372650442207,31.886158343578668,34.172892485998254,37.69317079029759,37.88455433878576,36.26839736573974,34.05335737291629,30.33486663554692,29.19486035706911,26.259413513039867,28.395745317401467,29.278392406153134,32.367242864570635,32.875517447496435,36.589609847279526,39.542679492413676,37.01272869779131,34.292971822915945,34.15356296539498,33.20863145099802,32.165875527551925,37.837835576269654,33.42306068838223,34.83353708285959,39.225174667200264,38.058193806615,38.389664514192866,36.472088335473345,40.416509978292794,41.21429765241253,36.84279417237459,40.671320830110616,44.00741896221534,42.165842814742,46.20687449501869,41.28418245351912,46.9883407927641,48.72836910200029,44.57819941694977,44.462926597996216,49.10208267448618,48.55191682421194,44.12302356308703,45.928661859334454,44.40430644569958,45.24864555873603,42.768169295428734,39.61425715191275,36.25622093219981,34.380337239525964,31.117362078265003,29.823448245406478,28.315143797946934,30.423818621530135,33.051738717387124,35.99497210556997,35.96808335273076,41.95561728738785,40.93889646934999,44.29632076356859,43.06028132609447,43.73065535112712,42.59155770016274,41.7352849996106,40.241855439044414,40.32543721208362,36.80365972293285,36.01525608035993,37.364380150439615,39.127382544846974,37.85748381895935,41.731634024731264,39.064549693843574,41.75454501825064,38.80783492206194,37.511681637058814,32.89175356342696,33.51437436090467,29.254056854229052,32.50560939788078,30.487371951364644,33.16351690973162,33.593256523604644,33.46995652269324,34.020602283616,32.82705884594349,34.90977382281957,30.796930843598975,33.586485339209425,31.995972646047225,28.42411851670899,28.560292670970224,24.239220405576468,23.270733636830023,20.244376735446835,19.10462898189073,19.161514568166016,17.837361739129484,21.092034811834612,20.12264711855003,24.86489361937509,24.295626816266147,20.945421670889786,18.878390310788124,15.149474359892842,14.366653031973419,14.079335134296883,15.812500154021054,17.937861586184273,20.37275584571776,23.49822589928562,27.89168441405524,26.637282690916773,31.32585953619475,31.086406100655665,32.64192471380729,27.75088940028416,23.96811679803671,21.788099721860185,18.996454509606743,16.58925619502019,19.761894871398994,19.551432141699852,24.34525452704904,24.88078983105385,23.38121015986107,27.013945488461346,26.44363744083779,23.43205999824886,23.966835405166098,24.49166620683041,22.801544473136694,25.38120612896347,25.661960567767267,30.680377273553862,31.104413868766247,31.02730765404935,31.091358510903298,28.280077434706467,29.008080165586165,28.536091091295116,28.15357995960979,26.30370606314486,28.705775452963312,25.78627511702025,30.590118779239493,30.025862691769312,26.442177934540535,28.983983363961517,29.378271081565497,27.14556725096602,23.701439528211576,25.16587775872143,23.732808865628694,28.325168753268816,30.346215014893186,31.902327228193275,33.690266128812226,32.32199800311738,37.630814199091176,36.302293311997566,37.395417872672006,34.62517558666133,32.13336591643965,35.53273894866032,37.15448483058025,34.08746085671612,36.74188532285821,35.83340571179042,39.40457748617402,36.13735605611284,37.633381156944665,37.68873371837431,35.76484104020987,34.773843290926685,32.8960320608041,33.52663139809934,33.75494756518636,29.135700589452753,30.99572271506702,28.727355296891893,28.802865249486178,31.88480131415659,31.800748528275427,27.676914876555475,27.85155214594686,31.713548065274296,28.905972656410984,24.179529149554007,28.829118296714043,32.56731282533933,27.026545422329875,27.128437912731755,31.028279415726097,29.80497928287686,26.0710553925942,29.16034091891669,27.417768315031573,33.25537643632651,30.215033175902814,31.226117461971196,35.202604370765656,38.83518095010166,42.95313109955604,43.72135014495312,44.286655401042474,42.83629629242307,45.16152141105606,42.854859220515145,45.63040471595352,44.20506704685857,38.30718230666059,40.408265233873564,42.55210019649698,38.330460655771425,36.19667860697987,38.888131217122336,37.99192192358315,33.86465034682914,32.573708699458855,31.20338764842628,34.404997864460704,37.773197688604746,38.276428717209626,40.56043633513604,43.86291570598793,41.111665547287664,37.14606558437351,40.080567166875596,41.08989771652988,36.11305114120571,35.48123354050219,38.73821916875694,37.409575958872054,34.15968032869344,38.46521116722488,39.645935182619155,36.16253304361597,36.17755905760809,39.85630941127765,37.854519018245455,40.212955972590926,38.694517258830416,41.44211016008667,40.256102631550704,34.63403162203631,37.0758144040177,38.169656261889095,35.03344947929832,32.656076713266,37.90851089571139,36.3624924927019,30.9851598294367,32.46755044968792,36.75090528848298,34.68009224060119,30.56253803756292,26.51406549280661,29.297197723960046,25.356694157486384,28.008320700550584,23.09322244155984,24.18304701134644,21.690295132896214,19.065033637912038,19.43244082816654,20.73751393349341,20.902135766568687,24.50815654392646,21.330763525408116,24.441145550546754,20.86439067120008,23.528286542808583,26.693346726001426,29.905968196867867,31.11498837385991,26.741299342332027,28.91807333804526,32.70012182778373,30.690733792045112,28.88405110791705,33.112636436864086,35.43764000929735,36.15909393056891,36.10148055359908,35.17116535417],[16.873193475031677,15.888058791367065,16.2662681444124,11.598246724726502,15.41877239037177,13.845360420172806,14.651192953454316,18.61171545899775,16.432109909556956,16.909598947459006,19.275496749927303,22.589162153706663,22.097845384636635,19.288334487699927,24.37575793415364,26.225709810206062,24.27499744615451,28.244501851329296,29.98104653200274,32.614063245498045,35.28138389734923,39.03770678691873,39.50681190198903,38.34409516028772,35.91172653306966,31.943544872929486,30.546301171894108,27.11258428372455,28.497889477059328,28.720171097852077,31.33810631488887,31.59459159780134,34.98863522914391,38.36129164597398,36.20853975764857,33.98280492939291,33.699438479982284,33.67039300811696,33.1328516598698,39.007522878478866,35.11345097293615,36.210199332211815,40.66153847302302,39.992149751732235,40.74403501188232,39.202307312116695,43.246912372160004,43.554818890729116,39.201866609208864,43.382105381429724,46.342537126331585,44.15007984303933,47.921223417894986,42.75999531040833,48.12889622437591,50.14752802239703,46.067777996682125,45.37057306271889,50.04617182163713,50.006786702619735,45.345880773909954,46.670819431498074,44.726246774903714,45.962483560891734,43.81353970076902,40.3385877535608,36.922563548141575,34.51395015207241,31.34335088776271,29.341601115498026,28.114746505309444,30.094385831345917,32.48965056502007,35.9687110297711,35.54071422334628,41.54137173769588,40.906064381150536,43.876534223952824,42.94538498118372,44.06168593341762,42.65616799811749,42.25658014874342,40.267508248511376,40.83550777176445,37.68324089438398,36.384536783471624,37.838598931384475,38.91342533150359,37.86878393853862,41.084615686758674,38.386214841878214,40.84760811802005,37.58162567434648,35.92033908978019,31.22936564225127,31.41214186217572,27.09106337657103,30.405219053714447,28.19440255182983,30.436977964589804,31.77475636641781,31.63547673278007,32.9331474458841,31.76630788978949,34.68589316109392,30.41884580841762,33.26122124557129,32.20672698154279,28.386011467380392,27.928507864583747,23.48689835362682,22.987080705085738,19.34319522789879,19.217470570130956,18.963032116809412,18.64630736307472,21.89189028989669,21.85115233529043,26.211677216249115,24.718298588620424,21.433253908427147,18.85327771231402,16.12519895198,14.804881565000954,13.600921785292561,16.498489817713285,17.373756565607724,20.69653787574015,23.909716803765257,28.434780519840952,27.78912428173655,32.37154793006695,32.680765306107375,33.63839251447318,29.34118256861179,25.344992457609614,23.76935381554746,21.070101353570735,18.951955261906228,21.849299403615703,22.458702059150326,27.22084197798064,26.989756947040537,25.17791593534633,28.555397788331305,27.159462167720584,24.191518599302672,23.86699822232165,24.08113267726101,21.53256587486988,23.766470371090023,23.142479304325875,28.11761631318083,27.84866109134384,27.87347977989758,28.58436362401282,26.21595684211555,27.350065424860713,27.380088194619358,27.586729094746456,26.756673545611836,29.174848069200603,27.24302945145885,31.889839970792693,32.11173443412845,29.12751081140248,31.633338075663712,32.61926629712584,30.260583039808342,26.701951847252396,27.646804636162933,25.839367832459043,29.945550460013205,31.41667120884154,32.47522721727961,33.690693045731535,31.97868258128296,37.26320508996423,36.64485556589614,37.70989221713882,35.69684272522378,32.66885598906202,36.70953221604553,38.75778247360885,35.83133398492545,38.57072515070766,37.52308625060515,41.5785939540184,38.86411610510019,40.264985736353275,40.54639647589286,38.20138579382022,37.30265001441373,35.217955812218406,35.62266242698009,35.77867094541912,31.053455603452463,32.39792756222132,29.79922891915401,29.21145632616168,32.074418929759645,31.351144320994,27.279371210540123,27.707525645339754,31.11096928077189,27.728439243073293,23.390452506767865,27.96796830854453,31.042558239496074,25.130001547792755,25.441847165049143,29.12108022581986,27.30894723670035,23.585568958269132,27.012873740469818,25.850588230989267,31.547435264376972,29.66203909092213,30.532011038900286,34.241811235081144,38.3995625143248,42.28095141246942,43.42333541112782,43.84556629818725,42.6850708789689,45.12414689988115,42.814819019216245,46.02581008962722,44.655902131238335,38.67077483144335,41.00042066577364,43.600265428540155,39.36642083548107,37.24970931041637,40.290548789486024,39.685393157897686,35.43746371813722,34.33010805737557,32.20698371548284,35.15120657160364,38.39644927989839,38.279344977801784,40.370013741667215,43.23760276331019,40.430393800390114,36.695621595979475,39.14995909038543,39.80541189180615,34.83552219366042,34.21623459026481,36.97736759465122,35.30961811892521,32.223406946199624,36.61546250136188,37.34606619669136,33.50993681528333,34.003218628628886,37.83914284014917,36.241135305046384,38.90445932344517,37.67207573959395,40.79180584721232,39.36464812866921,33.78327005586011,36.76769278057622,37.970077097820976,34.70289774077141,32.80515383169216,38.366936960555165,36.773897980282435,31.42188710125977,33.4408154561697,37.82102099739541,35.683619630713395,31.55025382567666,27.156521807145342,30.346942997300964,26.1773718355401,28.013540845974372,22.82325293248537,23.598119361969403,20.282527054242752,18.37440862447477,19.42323875533371,21.559440340577332,22.00332925097261,25.086357866332925,21.720555972005503,24.93161419231135,21.099789774861215,22.447382617027685,25.442979964098644,28.51339792751957,29.366837696270572,24.567444184254054,26.70907140431274,30.36438293024224,27.95287860438318,25.896789145660872,30.320732915061615,32.32030021425446,32.808770387802525,32.80413252710551,31.88590186273524],[17.78460056514546,16.5561619846585,16.04964856394423,11.667716479547433,13.750289169323686,11.373730536428946,11.03134103518759,14.753501988796334,12.223508060643558,12.24308624167607,14.699776829693196,18.11493475778155,17.397823924750238,14.66414352749996,19.784815242639706,21.54510988786478,19.70062213737362,23.798046215496637,25.904147088855154,28.38978027585729,31.288609410802316,35.05359799772339,35.75578968459657,34.87781581236904,32.22891352048461,28.203699023089605,26.576759629608567,22.9308595035631,24.01659543508329,24.073992302863324,26.724412045508416,26.891047714828314,30.31273505410717,33.687314728189406,31.52398790799605,29.38043291822534,29.06934680431686,29.262290635459944,28.938787657508733,34.90606704166718,31.27345717335424,32.18720842155578,36.63461357591003,36.24878015624591,37.28848237604914,36.034670012941156,40.129822847984165,40.056323670251714,35.7736951318463,40.21792910074996,42.88726891986342,40.459801471408205,44.03118814424037,38.77438901944544,43.967170134691294,46.069760808527384,42.03778127561142,41.07912475239525,45.75601919595848,45.956173170506815,41.22607078760283,42.38950007615709,40.32556809992696,41.79540350394792,39.716160535129184,36.07767388846678,32.83080584083351,30.20093000922061,27.28984588743928,25.125423915743234,24.170349903023087,26.425389255056455,28.444984295936127,31.928239673398473,31.183745759126428,37.184512947862984,36.46245902617334,39.31992349667106,38.38253792367049,39.58396996391655,38.1040118070315,37.86799636868631,35.817011282325204,36.59239943796922,33.55393134564944,31.99799811898039,33.417613934057144,34.31388393456071,33.33043889547148,36.4336763959578,33.80729082320894,36.36375049677872,33.08002368471343,31.35609548346283,26.645726932709152,26.994358162319894,22.657986594713183,25.806891243551956,23.63457762311697,26.131815098150117,27.184922257150184,27.32058017776287,28.444483687096504,27.635445739617893,30.78733972168889,26.760265183812862,29.980782275708894,29.258194047980638,25.696368042712837,24.74388222632043,20.433174567367445,19.363549187153335,15.374151446032139,15.233512579197743,14.507486235771548,14.593146985580926,17.766045451204597,18.294706373026287,22.529918094217145,20.552927031948204,17.448074777539013,14.578564315223048,12.346192793861565,10.699645312186828,9.354070055577406,13.066450176019982,14.347735414341464,17.634232515173004,21.113591966900042,25.30711680703826,25.44542968305634,29.925491520544973,30.132841162304732,30.54228470361542,26.53370514250263,22.300216870442565,21.673764583869758,18.462434658883566,16.245933222616124,18.640881043861004,19.751545643128015,24.35284713556865,23.522880012272793,21.538948469772404,24.708248005682137,22.913277572083572,20.031388178002015,19.45747758974127,19.811762332607245,17.186641073470593,19.79733596119614,19.12562712329343,24.299865477708398,24.417846860749965,23.927987697823088,24.370811754633127,21.776187678490317,23.105873212427863,22.869725663637947,23.480312389479,22.791741973003255,24.92592109018344,23.486145673268638,27.990040779270757,28.79337382116163,26.29677900036831,29.020146446641167,30.493067267130026,28.38303440095717,24.594583218346138,25.19631640021935,22.888708929553598,26.546282204830472,27.680678480948316,28.418737008036885,29.51293544514665,27.535618839563842,32.87831100322094,32.41456455305684,33.621070367310125,31.924357859284882,28.976713884146747,33.334285809919294,35.56377308830456,32.603271999981125,35.079081018437066,33.78427078373223,38.147563630099995,35.80023577029551,37.291536717337536,37.90322601983137,35.31941980534966,34.79966621412943,32.83159672435706,33.37261143222612,33.904511462298835,29.332118165749606,30.71174620918091,28.481663104286508,27.337317094208338,30.674818128813715,29.521062691620436,25.424743813226662,26.695325376591416,30.029963324248627,26.38329508153905,22.82134663853417,27.580837063250065,30.16384429187101,24.467392826579758,25.432689521277563,29.065643332302386,26.837037602474982,23.757450170905283,27.696734064058646,26.665865374350414,32.16925214152726,30.820034107386153,31.0322276100912,34.645871677047126,38.749554696624735,42.87551060790452,43.7475560446165,43.58503874146906,42.15717722730561,44.289187488332054,41.54197849959907,44.90109573857574,44.009640675528985,37.84396462890367,39.80612234005678,42.83320865430331,38.88036523327485,36.36957688373672,39.21870962599578,39.30519292611722,35.18742999571829,33.30574173336147,31.273939231859003,33.38040915558593,36.7481757608203,36.70290178706469,38.346776765636385,41.23691497365879,38.024181670352704,34.61166429294726,37.388415931288485,37.617225888875474,32.57342382027128,32.548623833587286,35.275370878356306,33.48042674477307,30.777068194101968,35.471212274428744,36.09654441547476,32.40782274918281,33.36335497632967,37.25132445162615,35.76817812942806,38.14688939802269,36.56025893713687,39.905187277810505,38.97381864065653,33.279761618406965,36.04102647115451,37.788892544987114,34.72571599555925,32.49226726654218,38.24838419634664,37.253020978012216,31.828536521152785,33.445167362956866,38.20329313595707,36.584054309003214,32.460870152398506,28.18517061639598,31.965841553544923,28.129088856569272,29.73564650008666,24.3916565067536,24.301398687872048,20.737120750522802,19.758428063735888,20.335792512245064,22.77871268851273,22.52045133711044,24.994186831793133,20.789586215332893,23.36045350087674,19.0403106942465,20.681512491169567,22.965378758959847,26.287221890858845,26.565461441481684,22.008487456439276,24.874485861546226,28.155124646063744,25.18880702096107,24.14020267210211,28.669171591241938,30.312690018031773,30.798262022010153,30.667297615447083,29.679543428545674],[13.76735495133411,12.988102892960358,13.321907425009075,9.611741563142655,12.696980581855483,8.830937423083734,9.880632371199216,13.232721186296981,11.083157582621537,12.844217117297704,15.16570080733479,17.740581564292455,18.22542739911346,16.25902379521275,21.088398216356143,22.75302073269269,21.702633321140773,26.11844213195784,28.900586393920833,31.077959663803572,34.3264121089701,37.99751576871756,39.019252916438724,38.37414074418351,35.46413097302671,31.498769147972663,29.47885431455752,25.61688305456385,26.143957516399787,25.465774893411727,28.218076915791475,27.649780743828337,30.89070264878895,34.723049250951966,32.70680686656823,31.08724447204987,30.25503867501219,31.252439138967226,31.121364448042318,36.89683441579231,33.839196586065036,34.897004224937156,39.25031393733855,39.083863038898336,40.46837945110278,39.276480666997365,43.38240875987809,43.00613579083862,38.541636950914764,42.97779836057762,45.40682984369795,42.85900943235672,46.34184745019172,40.96399616542176,45.8730872692091,48.372727671682576,44.53910372340747,43.209756093400415,47.93103274980527,48.556246811010986,43.8765690437921,44.871294414987084,42.593303222543305,44.51637386234925,42.53974301804359,38.641086387246595,35.72620216629825,32.71947872999353,30.196684498827718,27.601517455174456,27.043014238907,29.329851871357803,30.946634769820164,34.666723974414666,33.41103721201223,39.333332836531355,38.63291391702404,41.09305812054216,40.1835635315978,41.53649245003433,39.60980751003719,39.46491800564201,36.8235220667115,37.75221550966911,35.09745291385193,33.453263135107946,35.28998526263255,35.6075631469176,35.2206420925938,37.83536883190408,35.47540008864699,38.04403690385758,34.533959366365835,32.370920172671376,27.633915429059833,27.768102627364158,23.43685667883245,26.057705225244284,23.43078083013853,24.9886170691224,26.976652566109856,26.455726821733315,28.453609277993134,27.087795621215133,30.677333659683914,26.328083880514342,29.17263574745187,28.71749275376614,24.823669544834594,23.697503668136203,19.321623919579455,19.27890614034783,15.262863534947853,16.374874314750357,16.318718649265325,17.26609864175905,20.632874283886505,21.75622307107738,26.022277113421037,23.499703188203522,20.71018658862819,17.496342109989346,15.875292745523641,13.55167882040598,10.994264363849148,14.508429940668671,13.791426522648003,17.802403973821054,20.953621058649652,25.375283681028073,25.551499651631097,29.847373904340657,30.717181686082576,30.912333136272238,27.45442114011523,23.38402782507831,22.69199072368103,20.250671830170443,18.791196582036267,21.267148721638492,23.244081150218374,27.82462247698393,26.76955712207183,24.404901353145114,27.295399796389475,25.07119809481315,22.17130735068666,20.793970869615748,20.407550795884045,17.121791579736698,18.769950112269342,17.54402314440624,22.358012727285203,21.790212570520133,22.037656530812395,23.040667699412843,21.1280200493558,22.326953898290785,23.00728308139743,23.488992967951546,23.81288147435594,26.42132225903851,25.637712890722266,29.92895410763384,30.927485940740073,28.81191324894835,31.05100895022615,32.83350162669009,30.35023599683844,26.772888242931085,26.961883889419067,24.807375094674782,28.16559002939073,28.966044605019224,29.51793247381925,30.065069169543445,28.249946718287827,33.30756766253691,33.41240562214437,34.30087296323592,33.127419449264565,29.490429681292774,34.12189871200998,36.623724453991244,33.960224502986264,36.862570806515,35.85382838772481,40.347831786311914,38.47166529803572,39.53458111545828,40.04366223956147,37.159762431977065,36.36583902722001,34.069929073441934,34.21448737960048,34.3891733527007,29.722096428396355,30.512607383582317,27.833694036272966,26.36021011523557,29.192182701969553,27.69204360096149,23.75020593081594,24.867309627444854,27.761714752100588,23.811739066446883,20.434468993485172,24.96203232298942,27.11509313525039,21.18792966130742,22.173952420943472,25.596254782562593,23.080439882248523,19.980304501745675,24.04355937276895,23.40886165587402,28.72756760192796,28.18472526654159,28.327532107426677,31.69695694254671,36.140946665634786,40.02482706728068,41.194917073164305,41.03800280658724,39.91783641931436,42.21360968665939,39.648222223233944,43.28503220802528,42.28241068300289,36.17335322112837,38.44581997018661,41.681860282036965,37.672537272864645,35.35243274592787,38.56198486249512,38.66176260131847,34.45587966745892,33.07425679304189,30.330309186469,32.52716662835705,35.66082067781294,35.03032961785034,36.70025687413949,39.187236157579854,36.17586175688062,32.82351080200392,35.02013397189885,35.17821203710606,30.22911450757391,29.934827387606887,32.285908416183126,30.328059416829547,27.607378267570553,32.21736939272846,32.58373695926808,28.66120067015941,29.77915839484604,33.72538153788886,32.49350906876378,35.13259069055372,33.87882532256784,37.401462280110536,36.162060571814024,30.593972082028976,33.803705135606506,35.472318423638235,32.3066059356597,30.57423950326315,36.447343184180234,35.30923268670803,30.01290447107669,32.13630830257295,36.8144986737814,35.08175154699453,31.02077019878184,26.551908393888056,30.541968229714257,26.626622485369413,27.549240447699898,22.155198506492738,21.8359017978512,17.790041983809335,17.412964357033452,18.491459689698477,21.473973617818416,21.546430078015717,23.58617512629491,19.638057854041552,22.44625631045927,18.339698603177695,18.515311870924183,20.931986619484306,23.92497312762674,24.2575807110479,19.29923016433024,21.73243325891226,25.06750484685384,22.19677890303748,20.482261953543137,25.050765685664434,26.68290972994051,27.08330313674274,27.077650891303467,26.182129360014116],[15.700956593362035,15.507197981159264,15.919915750814097,13.27151677069531,15.05073922170752,9.433960440752902,9.481565377842237,11.153908706572091,7.751313657698766,10.180759981764492,11.567982912035909,13.673645092339909,15.4125678331686,13.604508485388537,17.814467060811612,19.691418698428333,19.6235279775301,23.999085778615203,27.44525596515522,29.585366197251602,33.06382566446023,36.858665112299995,38.116022220182344,37.97395987069871,34.96199723800174,30.895888531760303,28.765933611912057,24.631098001264984,24.327253946495674,23.066973519380156,25.083293866101698,24.405160741668723,27.201342482200744,31.26749875014859,29.70127456355633,28.587647128995833,27.79699154047592,29.617058958836832,30.079034196381468,35.93870385287362,33.431264751200885,33.97933230144833,38.26374582352822,38.648910013723416,40.38939363452376,39.69366720689433,43.794196273683276,42.91642020873559,38.716869977084826,43.48239675586532,45.45952900215407,42.56925998068252,45.63281567789444,40.16178408254501,44.6246087291687,47.22635610422398,43.496532168147624,41.62179718840667,46.25033187907354,47.33380909734007,42.476513795465706,42.93692703258081,40.29844432252153,42.53718896374696,40.94568313514659,36.84959988417573,33.961388329154595,30.53448313395235,28.269320202243257,25.109386018232343,24.951673931110943,27.12707177958948,28.28811793774993,32.33004854133292,30.666633093392083,36.42741421461748,36.088743802559414,38.137063670803045,37.56683927787054,39.35261450946213,37.3240433077041,37.739283368148364,34.845244614450785,36.33764778538371,34.078669046548434,31.83710458220813,33.52733523547392,33.19263155406612,32.88234234550706,34.789341525614354,32.41915138609594,34.71531140606851,31.011430410785902,28.584355372734688,23.926001987355267,23.69016600392571,19.45532859989766,22.053120454117,19.431604374057958,20.84169358860408,23.479341049057783,23.42319517286571,25.849268948914343,25.06469774139003,29.476129747949134,25.469671148665775,28.638787627842234,28.89950429053697,25.28198283505076,23.297378592164776,19.27446464861325,19.00288101503721,14.513357785783263,16.303298038955756,15.385014637873681,17.28190194761019,20.055755676895995,22.028514155082274,25.48606518237741,22.1807359903337,19.778787987629823,16.410786036636953,16.224991456333157,13.918654864409902,11.272549011052007,15.642404289262961,14.602284823687755,18.669923464185395,21.845067815176566,25.739737134461585,26.957623044463016,30.925735383984446,31.92435038534178,31.311542923752818,28.54211990530866,24.36003653711622,24.785917810444897,22.07095354287221,20.65467150894253,22.375188511652514,24.710694316038968,28.894836000125874,27.06687543283047,24.661490978616648,27.09081139037104,24.134268975834797,21.59973329094258,19.52663066401336,19.15253878908021,15.254735535828186,16.863508524746607,14.460492793523807,19.281418559707348,18.27484940191729,17.899068698824223,19.42947828002324,17.829867648835922,19.765814512255815,20.54722082482678,22.101476560619396,23.293326956653054,25.362691371504116,25.68897292472305,29.553428999483387,31.486412631535877,30.093718231487653,32.51024275358573,34.80418552737676,32.60241060680848,28.906174128128725,28.685579120542954,26.038879751635932,28.616877387535663,28.775113939078782,28.657953973328546,28.68883257307121,26.32654186295538,31.283481974428884,32.05156803882219,33.09587128722535,32.742932455573616,29.060051393907674,34.2143871841854,37.02568796069718,34.448247007193956,36.98943098566882,35.62485855255423,40.537334315451474,39.2104016865673,40.39119315243699,41.30162636523245,38.13909841793346,37.777559464738204,35.58921535461852,35.77822458889877,36.243438355087214,31.79626720822535,32.37835925640769,29.938235330534805,27.74187276074992,30.714063262877623,28.51477919152766,24.790014477266283,26.697783393977037,29.106283914148324,24.728390168905246,22.483536421171753,26.810888444283304,27.98771446403996,22.279978261108763,23.887507328822647,26.901192962674294,23.68046539635556,21.33427788480744,25.787950427837284,25.71330632048829,30.532943156372053,31.10826290022271,30.749171280423372,33.75694408273224,38.358969024329845,42.16166059584447,43.358651202201,42.70664938882185,41.593116979939126,43.67678293990333,40.82100776598788,44.75662697696803,44.16791667697455,38.014367761525214,40.07434679246502,43.802697265178,40.07506595222861,37.53367505910012,40.68817716791426,41.4132950537355,37.33817145411012,35.52136362787589,32.59845727798185,33.93604278322594,37.01303515800916,36.09871155914625,37.21881587581565,39.372347704634166,36.025594269950865,33.226507538678824,35.30380586627675,34.80160282369284,29.938130485514073,30.21377754431844,32.05213727058569,29.740112629454252,27.623101038137428,32.40713704597748,32.28192967565455,28.291475674276423,30.20794050648471,34.19799087679704,33.417203025861234,35.97862023155454,34.68220998443783,38.545364810933606,37.558729068460075,32.11014048632878,35.39250520795294,37.48133537158697,34.47651108129042,32.842609980491964,38.84408948723023,38.10858813687731,32.93541154529511,34.98773345608924,39.83508637839975,38.42943090708669,34.471067841005755,30.06582427873966,34.41282996819865,30.68154298449592,31.1055766358958,25.741343690585797,24.785200474994063,20.385392863839776,21.018057326677027,22.08305697819585,25.38427614348558,25.17938879125389,26.526102167264135,22.157340868215133,24.336697713885243,20.00494914528889,19.527125568769044,20.923792259265568,23.852427920995776,23.2472955410327,18.421609808552336,21.42245539141595,24.073239430343857,20.27039500341438,19.498103083213266,24.161498534025224,25.00043982727888,25.102966789048242,24.9964583169897,24.02342991922476],[12.497836343625293,12.593801131037063,13.478274471885307,11.862212084302609,13.967864470430083,7.71244487651128,9.225733770317586,10.474217544137367,8.516521762641545,12.269810392554326,13.82662204777701,14.92851292199827,17.20256034642428,16.363294366921334,20.28221114203488,21.76960466351574,22.032709935373,26.606241299695345,30.359570796501277,32.10357691386422,35.802258860036765,39.36596522235411,40.86715017696324,40.762958388440076,37.528051320392365,33.63398734740768,31.157924451260563,27.0207267827712,26.53435640222275,24.81828006277102,27.311137464919593,25.85913985404482,28.631770930327274,32.9739233608495,31.337311050042054,30.56072767369868,29.199371132535735,31.443211085915326,31.840619854063863,37.36854903470027,35.27356226238491,36.16645622645764,40.31922006528002,40.70937523949954,42.662394159525256,41.86223998927245,45.944496502894516,44.927130757466806,40.49183711586914,45.10335487428837,46.96460666145704,44.09078162195786,47.1819343193702,41.67768771461998,45.97416927222204,48.92148604790711,45.39398563015424,43.37742712305269,48.045351701544575,49.3799816246444,44.70600811655508,45.23609056309707,42.58001841273083,45.15917381415364,43.492158739069424,39.25013087824287,36.8038821379648,33.235348937547485,31.37124233230567,28.160959764761436,28.27389349583041,30.60271338161344,31.444745076324935,35.42061655582467,33.38677257657231,39.04042741261605,38.471442310366555,40.26300788765974,39.527265801776075,41.22531504600934,38.788589931486136,39.04429963438592,35.69552723995907,37.10135706008071,35.115648277696216,33.05392490410866,35.205078692215544,34.56350809496155,34.87410741274411,36.58882653633895,34.594947821032584,37.06546916213848,33.30906467212438,30.58899344326796,25.994213945808617,25.833094989662417,21.730140665842725,23.499757382583553,20.448777914233794,20.80835133103562,24.027979243685504,23.05423218564176,26.140179460891208,24.597588741865614,29.069096011086266,24.763197954805886,27.42481754191451,27.776927764274596,23.911414926214185,21.978554241322318,17.993927125021628,18.74164528731464,14.657505513845944,17.280463247844853,17.328095765388714,19.515808003141384,22.597876663327366,24.725701599842417,28.522479250980982,25.112998598695732,22.9489950741229,19.452663571821812,19.139628085065066,16.367497851379344,13.055607030475562,16.617729771241855,14.046303103235637,18.43359201227013,21.162030111170242,25.210412474705855,26.250364075667434,30.012226511325483,31.5408959672302,30.90717709678051,28.544265351557474,24.645935910526152,24.813334214009846,22.85785299187501,22.089504648207903,24.015915328649285,26.963806159543214,31.193168579762883,29.436466447643873,26.72692341725145,28.99782083942944,25.981619206847263,23.37512105515324,20.8845640957475,19.80305182937657,15.703997090926663,16.202150280328706,13.716841199791954,17.915370753263204,16.388105289442812,17.131154915727084,18.94945971840686,18.036296114597658,19.43343621977921,21.105835929257275,22.08139741551946,23.935592384888615,26.5665272337278,27.129334124329368,30.840665813175576,32.63281642252441,31.425640038486037,33.3297331050936,35.766069235429775,33.22247783628775,29.786933141598972,29.29181635711006,26.93918619035338,29.38139893728221,29.40625383961748,29.32034866192934,28.991902890480823,27.050020985433118,31.6378808238613,32.710540870439175,33.373231055389084,33.27066228534429,29.034150238088557,34.20349925392884,37.14443663006624,34.854484688629334,37.84876008347773,36.883328515860015,41.73563798374385,40.71577343962074,41.445951024251855,42.15723287932139,38.81640536881275,38.1217882788599,35.65608700658654,35.49170566343452,35.60358317020771,31.131318005349204,31.233305668160313,28.458954960887084,26.10096891509306,28.579083295115577,26.193603385094022,22.67214259929821,24.3687347995569,26.38897454944084,21.87581085476277,19.8632224619665,23.886476277953967,24.713454201399315,18.95106960694488,20.59569973130119,23.391219897440877,20.001028503224568,17.77742854637575,22.292785973264696,22.50275165709239,27.062473918691143,28.239637138594663,27.749502204699922,30.527950885873096,35.29467081950605,38.924711275542855,40.281268034201105,39.620081584114004,38.72832527478029,40.92096415962385,38.247477916345744,42.339234311605594,41.647608499669744,35.60310073291543,37.890874016581954,41.71308533918556,37.975233092393395,35.620254872381665,39.02181583752681,39.72268651084098,35.63445957949359,34.247060488650796,30.819808849591674,32.26693951372148,35.10983697584068,33.7606360158774,34.95165566078279,36.801644529132716,33.703311175207304,30.9059001459078,32.49980650563985,32.03653228327199,27.291247346896157,27.271918074441025,28.85278716897684,26.47843302070881,24.30226417712156,28.970882559738776,28.71292475352101,24.598592219662855,26.563200959580797,30.562640979171277,29.933419181955518,32.645144935295136,31.598267209727794,35.53627502243481,34.338425144990616,29.035699065141674,32.59657906093383,34.6047245209798,31.57505771387139,30.319451501158845,36.32263424203628,35.52067649898232,30.524016624060014,32.89129380774635,37.62054763804335,36.1908939936806,32.34997446599392,27.92193463091286,32.39589827027304,28.759499773924023,28.648785104979307,23.39455154953571,22.157425268324225,17.557146008354017,18.80027449211326,20.08642891244519,23.669958626533358,23.63559708275487,24.55402859839702,20.520715923872743,22.814160667511846,18.86113647492479,17.180870030417584,18.711144434615452,21.267004139482985,20.85833880744033,15.763471609005022,18.238926535624053,20.976371749148715,17.491327951791366,15.991889806352729,20.64368626926591,21.607802857634166,21.71725524955442,21.748467355707724,20.896856827353854],[14.22311112055572,15.243179644539365,16.925333628836466,15.78628567574914,18.026751114516944,11.554941133404053,12.797521431762375,12.87497307272397,10.36528686710184,14.224518032426426,14.726983406231524,15.219740305795401,18.716061396135142,17.80523171936174,21.005826856552524,22.774523074743957,23.793123668670358,28.128017099883436,32.15053748394547,34.02624453148713,37.74098916762802,41.45082619206524,42.98687408175548,43.165714616638255,40.00078670187589,36.00864770381726,33.63840205635396,29.402792105416058,28.429388278335782,26.396337924153144,28.010004242831847,26.639280370919177,28.824823748329642,33.31851092788851,32.217924841065745,31.875314144280033,30.666102665256545,33.468911567070066,34.276218836419964,39.84532744912975,38.03726368678387,38.53323879754055,42.639375679280995,43.36445230678507,45.43917995520515,44.92322081546951,48.99016160446554,47.762257761737644,43.54358735998898,48.32501846794785,49.96655263064883,46.914299597688036,49.729794600966066,44.207562849631685,48.19179922173615,51.146758557142796,47.674498779056044,45.3139556687983,49.86718836247807,51.47472612531512,46.657148828218844,46.74875031954049,43.815204121388,46.50664085480778,45.196465974562216,40.901429737486836,38.307966020114925,34.52076929349112,32.66515369022632,29.06029892066281,29.311161591844407,31.28527669215933,31.992340442980325,36.27591496036895,34.131197077622495,39.57246243097645,39.490296789797526,40.93955844214285,40.59746250791437,42.683695937791974,40.251082009095086,40.97429225713437,37.47936434506715,39.29756908892467,37.60470492112714,35.14485189079608,37.108564722598324,35.9781691414286,36.25269113873317,37.30881696953078,35.23390604854012,37.27979771409362,33.374685122204845,30.48244779963261,26.101522449256937,25.362056554679626,21.526875779641816,23.418064081994004,20.501762748503,20.4056589117142,24.554690875398844,23.928163882416126,27.50800818753205,26.366818648296096,31.39307003053023,27.339430451960656,30.008956835621767,30.80190903077567,27.068141665552396,24.733066449701806,21.08358767068858,21.900866818046197,17.75528926031537,20.609350028411118,20.100515253171313,22.592658980705583,25.233790173236848,27.642393701650427,30.83303847779063,27.09268939881925,25.067640486251822,21.6685555325128,22.04780590965911,19.557874621997463,16.508419908942642,20.40413658905985,17.79686943453659,22.11843412534287,24.740679486991628,28.509645165782615,29.94527331932752,33.49114942671898,35.16349748661753,34.16732763808826,32.18978635157002,28.303233896253097,28.825378488003924,26.795590933999545,25.945278459254315,27.600175556005414,30.45359117635359,34.52554171293858,32.45493966650146,29.852620590134993,31.920730634245167,28.556267695271192,26.218044925976987,23.444927270186035,22.42898868577231,18.07196446995734,18.323624563840365,14.836932039073226,18.48303976398317,15.943851420774974,16.500590719519614,19.229593752382772,18.95673584505954,20.922664712755154,22.78042528559131,24.49659197575145,26.899275399068515,29.142322452913913,30.287737070431493,33.752373773001494,36.01013720199315,35.08056259618695,37.09386300311078,39.67661956476959,37.24164584345327,33.767598922656745,33.17476474811103,30.6543992753279,32.76244551606336,32.46613051964025,31.990464635625347,31.30167390236038,29.01584881508277,33.41183095083944,34.99690255411335,35.73481337236963,36.174451099007804,31.92136929737237,37.325441317122596,40.41601942336198,38.2046071481538,40.995945712028224,39.820234456542636,44.871524433191695,44.08351398128077,44.9151911671511,45.805280129452896,42.3679870628123,41.85110010213532,39.422844635692186,39.23819011656585,39.390932352931806,35.00833225997258,34.92856203499335,32.13916138824435,29.516950162415053,31.776111838636453,29.043538040202424,25.803090851292104,27.607832330809035,29.165866796428862,24.483216615688473,23.016270955554926,26.64006344568759,26.7882208829689,21.17229305658333,22.885193952284833,25.193805304533633,21.384309895581328,19.480768927085528,23.91863346861049,24.704178199266117,28.79824542502975,30.856462265070878,30.350464138014072,32.7707453446501,37.7600706912138,41.064112614782516,42.68864570342244,41.959901045156556,41.320341157508174,43.52806172934116,40.914144836703365,45.19851349843397,44.574248016655446,38.64808330631606,40.99515695084969,44.997621945583994,41.345719851192776,39.06312287252679,42.54485843151865,43.3737875134076,39.32013766674377,38.042252795028666,34.391599523233566,35.60214473814581,38.288462584437106,36.5925861933952,37.54968064781061,38.98909517313495,35.899489418592104,33.4665886454949,34.62233819941802,33.78670834793934,29.285595082375007,29.365991892930985,30.33718305044743,27.68658720506146,25.90811947192754,30.412203238052008,29.630774842377438,25.314821281727124,27.810859201206878,31.77423843359049,31.613239760540345,34.48659700023826,33.735754293399275,37.840013339569076,36.49378046005346,31.472190731657925,35.290839516777766,37.29606999528139,34.28597495200149,33.426817221165834,39.3956426412097,38.5539138202704,33.757088877150764,36.35848451572621,40.975781248746706,39.49830036735549,35.75906187981096,31.30463879060926,35.72421424363419,32.03837819706622,31.537158228365247,26.435177980844188,25.1947250916693,20.442156924549014,21.983540521997394,23.6006617726414,27.29585778627078,27.465120268259074,28.175006688838312,24.32182908458899,26.49020578780331,22.657021843362568,20.329824620950614,21.41090445036858,23.606389980455564,22.700319284316077,17.739203002359805,20.010396975151448,22.21411780837529,18.30716217338742,16.88476888957702,21.372178717494656,21.643968605093175,21.332339988619864,21.39119126582677,20.574574558623624],[12.605505195074327,14.17712298409865,16.33451687096871,16.569017737828815,18.770126470300344,12.44683051251885,14.56483656674036,13.997969039635331,12.997256213843052,17.486897275629605,18.11329436663449,17.668466584344934,21.508623264203,21.47974171351245,24.33862948698864,25.683716571312107,27.033492905939845,31.48291796624282,35.80084207465362,37.258964984188886,41.177922825133315,44.63572614532514,46.43346651227545,46.69133209096054,43.30683830960397,39.50498721380319,36.80986752802006,32.595183757472,31.40636376749814,28.926418622826247,30.937822319561256,28.789802788246945,30.84861305944491,35.564338515533755,34.44930540070068,34.51033173304522,32.73444179579787,35.996149465885686,36.78197063105452,41.948882346934546,40.63892472126036,41.43211651696651,45.36051394473063,46.13855478751992,48.45392730952563,47.881530700634556,51.908332853234704,50.49032884199924,46.0861971354345,50.69928318890197,52.15554549957993,49.10745845693594,51.891453453542354,46.37402474578,50.08394415554194,53.408983884012855,50.19232747569228,47.63697313021437,52.190585802241486,54.107185642133956,49.498189029185454,49.61507156345346,46.652542773518974,49.716012373927235,48.36694032077553,43.928117690640995,41.81280792780175,37.88906767144325,36.47917436855648,32.83845656055105,33.37516936851302,35.49259220474829,35.84986481429025,40.042073701179156,37.49680760824667,42.759744967583224,42.453687154108366,43.57628221969559,43.085733817153866,45.092487585484896,42.24274011836264,42.84809007501982,38.882170744228745,40.64302211092843,39.31997652841855,37.02193443681085,39.42321632855458,37.92135678806957,38.85571085241152,39.62879645653294,37.98818422187844,40.174235261909246,36.25534501347223,33.084235612710465,28.87973098944265,28.227631723710388,24.652668460333537,25.6068447148371,22.362907419263447,21.037692247670844,25.76982636810337,24.186409620835587,28.45253853912526,26.58473309338118,31.641823142612218,27.44149579005946,29.471190209211485,30.466405833659316,26.641305311801013,24.33151354613916,21.01821898231356,22.836247681025952,19.294840008469205,22.79316490880779,23.067882401243708,25.80209827908483,28.64266435751361,31.21768037312219,34.6622215778207,30.808385408681055,29.03182850591794,25.537552666903235,25.85634795913224,23.009883083504324,19.5312677936992,22.692210237507254,18.878004178570077,23.210106644561947,25.24634644200884,28.947696207356856,30.286481875062368,33.45000123727349,35.681986872826464,34.578956632729096,33.176857883312174,29.658943787647903,30.04008134815395,28.766780779633287,28.528657748952092,30.275242895800925,33.683713485560844,37.73586106103764,35.686009974263136,32.819374194609345,34.67395578528988,31.244012221239675,28.910544399674848,25.766843811998033,24.11847666904451,19.7438730638632,18.831183575598576,15.35899990856945,17.808564319790563,14.553116696438497,16.467862332145543,19.50981492112978,20.12622734272998,21.48328024980047,24.223376117241223,25.398486088381205,28.49563384152791,31.18205114639598,32.63894733702938,35.85357049014882,38.03513438007054,37.37609396398774,38.865934494222955,41.61207281873106,38.89551412324736,35.72167743617454,34.826597063509446,32.59098959728437,34.441637775522494,33.94406745296647,33.43419289292397,32.31553566199133,30.474133219548417,34.34404034307159,36.31394237005754,36.64139632852376,37.44913031951654,32.69001533818338,38.05765024332564,41.27542697709902,39.420646369896154,42.607976319728486,41.826446677892534,46.79238775064031,46.39911943070953,46.77269294906292,47.49281831881947,43.8599869437508,43.05693029658649,40.37999369865886,39.825248965035115,39.63153919163106,35.34640442849976,34.70713730310729,31.65231042528938,28.824001617230532,30.421788032287324,27.425243474679803,24.638704574802908,26.223835970211347,27.1086453092925,22.373267653118525,21.538807126306427,24.4925734566642,23.903960291328794,18.56946124058101,20.344066289334325,22.063223508361236,17.962969913718997,16.593244251850592,20.90454892501215,22.24497868110656,25.669227139541363,28.766956939250996,28.02614486338798,29.96848210072382,35.10830329189044,38.051693654881376,39.92023250040899,39.107238018020844,38.78512699255127,41.064981679258786,38.688357460018395,43.15905059505612,42.48060140603916,36.80095882228306,39.35476628382621,43.481748911117826,39.92535681876849,37.88682334870618,41.58609830551973,42.465626707709646,38.493735054605715,37.6847289294819,33.50973871219954,34.68415820326216,37.012058308665516,34.75649339578478,35.679525217815204,36.61202678739903,33.86226662945273,31.61353268291412,32.046870341505624,31.137119946431895,26.961160514058744,26.750780674093868,27.158464261883598,24.391450678252134,22.76621736003789,26.96008169815145,25.82495761923706,21.38154790924189,24.133811133854437,28.012047999472088,28.225388737585504,31.250198464193655,30.88713348897053,35.07381467047441,33.49703214696266,28.852879544035194,32.9674531508954,34.88489107584315,31.945322517189926,31.642124737987533,37.47455893169131,36.627364573730965,32.20352973421556,35.12090976454965,39.51372375666384,38.08128877536137,34.5904642730806,30.246729149682345,34.73338583503911,31.279236933254566,30.065308541201734,25.30805074402947,23.695753830815004,18.931194646486524,21.276668991607423,23.073603704696957,26.95152467553819,27.276039207161475,27.37415374443598,24.04356404165781,26.14005609555287,22.896970434684796,19.26767570860831,20.193872596945027,21.708773779584273,20.921649678064494,15.982070094682143,17.371236218302858,19.323639838010447,15.880123571741292,13.61608437163619,17.770267898554707,17.8748734077413,17.36850780612932,17.609138382502252,17.00805506941826],[17.381392916109977,19.29105439236504,21.564846152982636,21.688946153009244,23.64942985143946,17.111147631790292,18.469584176225013,17.07319759871372,15.31283009635781,19.44383682712126,19.02053737878522,18.022347273594423,22.849398498107767,22.708316292258914,24.67800232202012,26.279624180720216,28.38848344305331,32.4527533363915,36.99225675672984,38.585039376467165,42.46866083497143,46.070476021883124,47.88998242487641,48.49978706983326,45.227786521734046,41.338794992536066,38.80439577033657,34.532024790078715,32.81975906118632,30.08564827661651,31.0065657203103,29.080125902540598,30.393478886026166,35.140150721144956,34.68759504721117,35.21665145737743,33.72826201614076,37.52673608402136,38.79362959926949,44.01416032883439,43.00020430513898,43.26228200325859,47.11256469843712,48.299254788055684,50.735602288582655,50.54487954598437,54.53664297132026,52.860180754709916,48.785839217316386,53.633854623370546,54.813609134737554,51.54902205323488,53.95487721156436,48.4521874260849,51.78474632565839,55.03140850171292,51.8721533416774,48.93521500613276,53.3038566471218,55.512826500247485,50.740511989469226,50.31505197563856,47.05145744336046,50.19899368216985,49.29664267436084,44.85212611164822,42.5816381009664,38.4599796850689,37.098803025375865,33.09096539878682,33.79701023759153,35.510697470766964,35.64717711082889,40.08982923677685,37.451087247947555,42.372277982266155,42.646296779658854,43.364744326558615,43.365032402641795,45.82541147562388,43.07042789484153,44.26019480035031,40.25976189912499,42.52443871682947,41.50328178619362,38.7131762136217,40.780289676571265,38.76259072551244,39.55687538578851,39.558656630269994,37.82256114953515,39.46883079999278,35.461833523377706,32.17703707745756,28.349771609112455,27.068593213860847,23.968768298712327,25.018887643677026,22.130667201069283,20.479867310604334,26.00621245787891,25.118087527944816,29.656107745809624,28.537656669599155,34.13993515262894,30.4133796837288,32.65387085207475,34.134899336386944,30.62331244812487,27.8280565813392,24.909344826698234,26.34879213966859,22.64401241922337,26.128693008010114,25.647599271184177,28.641418313319264,30.925500878441724,33.79925594300889,36.487127866850884,32.30817675195403,30.743138362508326,27.425569839726123,28.51179961549449,26.009554334770787,22.889835135890415,26.536087469250884,23.133503908268946,27.297325433803124,29.403186592718203,32.693216564913804,34.60860546736928,37.58490387870685,39.76202885822558,38.19776313131481,37.13446412914469,33.54703563835823,34.48554456227042,32.866716093680054,32.39602987229368,33.751411143903766,36.99066861591618,40.80352652522901,38.35414662837445,35.66195410619717,37.27110635810875,33.47770254611526,31.49347487481369,28.1516641413095,26.75799718084522,22.267496664590848,21.466127705370955,17.146313401318437,19.016823472644848,14.95261683549714,16.11253133369525,19.98114417070992,21.14245698095807,23.221349464946364,25.8340877955188,27.967494990937244,31.45057943427567,33.525347835212685,35.607679239187895,38.52760950144874,41.30243951756969,40.97148286242304,42.72189706148098,45.648384793043704,43.181562776850946,39.8759910775815,38.905191460111006,36.36699135856037,37.82246996330792,36.9696650809508,35.98749045424502,34.55459173239205,32.226054189792976,35.89749022652247,38.37531017694752,38.896833934227786,40.28587072582075,35.71960954490156,41.335396003369425,44.68494985485119,42.84442248336706,45.6287123399341,44.493083028533256,49.71016223540216,49.5572414085694,50.15372423124303,51.16551474176233,47.46901160811949,47.002345788344954,44.47963419603248,44.034507168636736,44.05902735719777,39.9167954767078,39.268743198152215,36.40358061899144,33.29523987658311,34.946863813263576,31.62802168659376,29.074066621130367,31.00278441979884,31.579941544538784,26.78594464466226,26.533486018778714,29.24772203577985,28.054254350334176,23.14912418345101,25.05683911628032,26.34278473522254,22.00760357953856,21.145594402226358,25.255738653327818,26.97449416919246,29.902470717251585,33.6196254472845,32.7951588614918,34.426200941908455,39.60835947594811,42.31448616963711,44.286933412648075,43.27548771846702,43.072310865226335,45.22354233253789,42.76561689831157,47.366539263850164,46.91496488241735,41.33449306581313,43.75427933940278,48.09455841879258,44.71591666349649,42.611808639796074,46.23994640419001,47.394557840863634,43.503379751552224,42.49809777986154,38.33088985736497,39.05396412562262,41.30674516060339,38.895203003317114,39.42761388419987,40.020488945021334,37.12671511057688,35.38618237720306,35.60859144399152,34.177635418618706,30.310744884691854,30.484499975339148,30.315385331998854,27.31632478275932,26.33345312290612,30.33510559335084,28.673399437372403,24.29661547352722,27.64106126129121,31.348100215560756,32.031245185377024,35.00758961542868,34.773960269693774,39.08150190781413,37.58860565141806,33.23993928509378,37.37135112517903,39.416613343684794,36.598269802836946,36.455017991300316,42.23323829818802,41.5104220024936,37.23545993116334,40.141575781545484,44.517823295098594,43.16116523607963,39.743126982843755,35.435347137824856,39.89589483719515,36.44050261387396,35.07429649540626,30.43403895648844,28.812610149083643,24.061452352567933,26.469536945588807,28.334781677874545,32.215054333858205,32.52702960333983,32.51705031831445,29.07299685847482,30.892757859793658,27.545008052435534,23.898409562166066,24.2081532158516,25.54101369608234,24.019738653545552,19.62872202201995,21.178659098070334,22.322233928624676,18.307769350056414,16.96971363143445,20.66173857675177,19.75425559778758,18.81089982900094,18.971711161973595,18.420567633476075],[18.85473667906746,20.19358064697916,21.859318655987003,20.995133936290195,22.659261925818427,16.012945405701757,16.45995468833814,15.290234822550682,12.297426304718677,15.76646926748397,14.964194654246068,14.58324354606286,19.295388933988274,18.503466396753613,20.527124378332292,22.49186286414393,24.47075340433609,28.368155689725555,32.72522338356988,34.6291119758096,38.347236528902236,42.14784185563596,43.77569836797287,44.38771611836882,41.29739481351618,37.27402728342357,35.01312080133445,30.731171208727524,29.088143621471282,26.676407410283442,27.14537656630438,25.894643438151263,27.27737525867164,31.837584878838204,31.430838257801053,31.657210135555747,30.67924093197096,34.14947077868833,35.507249148266396,41.05031584488536,39.68653727760683,39.62358339957274,43.59101712591292,44.7988476014768,47.07100447371924,47.00148099505465,51.00357512820573,49.42248949534399,45.567437730745645,50.57515392255674,51.84703197832447,48.54558912894074,50.92438759438044,45.43083276559195,48.9366244509875,51.86154700248643,48.50366799360729,45.68426142561887,50.03418437523717,52.01345008981187,47.058589340219534,46.562758234202114,43.300942447788685,46.15942762761068,45.325479622150375,40.99165380151743,38.34291623733404,34.304868677494085,32.63873518237187,28.614978681746717,29.162177788227414,30.751633254425077,31.083545005493775,35.61346959682635,33.246547271124335,38.299686169859875,38.77675369407481,39.74487565558638,39.892263088310465,42.44800227438846,40.065286742286695,41.41184377399544,37.830425753303565,40.19274918831793,38.892680066686516,35.90199960755564,37.55240639078722,35.80804481770197,36.02209912517303,36.2128103381948,34.098318162432186,35.61236444390715,31.60256989560469,28.540198860115783,24.560703478888698,23.17351861972296,19.8575627550917,21.72896901517055,19.153820516259955,18.683635671593027,23.672157899678353,23.744056068909522,27.64340602605573,27.268444408802527,32.89267228442403,29.366634791051993,32.22457952112774,33.595272388826466,30.234424755366966,27.32517059975728,24.18617779037371,24.703482110756187,20.521322176249562,23.48409406975775,22.240604071899043,25.120076964045275,27.085956585781513,29.920592056014126,32.23354446942753,28.07314612426912,26.418938439525704,23.233426295241546,24.599093868361958,22.44934739371856,19.780168410965725,23.993499370351078,21.62291673409957,25.67838426045682,28.252170602555978,31.482730976749153,33.62455718398371,36.875753976916954,38.54395047495453,36.971645954661625,35.500935841068376,31.604336267752714,32.84106895638137,30.555428045073878,29.598802069735413,30.727158421074595,33.53517868003952,37.245468355279165,34.67681782588464,32.2276262054918,33.91587220979541,30.113426717519506,28.217713365621503,25.136099954168063,24.307362912789163,19.848328827887254,20.042347976462924,15.627344208277242,18.58878055816409,15.32381342126461,15.002668841584486,18.56913541233864,18.922422057704594,21.627321183802646,23.424761155301994,26.161254576951432,29.110849661956347,30.69395515640302,32.65104071012877,35.68677615535225,38.642744088958274,38.20118210129392,40.40953395650063,43.259369301553164,41.10541680870652,37.548855829261186,36.77605820056411,33.93937597828466,35.47637215815847,34.71361194672896,33.67922758814133,32.57878255991656,29.80293629028664,33.919736098107734,36.100767899422294,37.012191484606895,38.15825436259016,34.07564862234616,39.75434312723611,43.01031488675041,40.870973454112196,43.234516172430304,41.71003565255963,47.01945593668758,46.610723593898264,47.62326483390009,48.84394367958581,45.28519979258973,45.151565323451095,42.88081537052952,42.78271355684603,43.179050554604125,39.01040881699465,38.8500580331752,36.29469898320747,33.27512891654958,35.583148349879096,32.424162243532706,29.470120874303625,31.737175320892984,32.903028429652124,28.092110017702513,27.43075440798069,30.774843241163882,30.17973813835494,25.006130830718494,27.011571932984527,28.869233613754883,24.69411878680341,23.456556284272533,27.851995602128753,29.047584397225332,32.620962517085445,35.43427687688874,34.68079444771731,36.76546980006087,41.798818983217046,44.91647144064291,46.60465547696204,45.55433977888899,44.9768233073635,47.00590568259905,44.23520431473591,48.69133148007849,48.374820687128484,42.52057488680844,44.68440626119308,48.98365186048341,45.56686688707396,43.17090156918785,46.56049519331577,47.79210238932915,43.85880715114709,42.30304735631247,38.62629559280284,39.229597568087414,41.82455280092501,39.941030458369184,40.43275503416649,41.51796365318504,38.23024445113879,36.3616500846346,37.32774902742116,35.90980601787686,31.68579996057132,32.232301456722205,32.63025387074972,29.72491520909354,28.61333090634772,33.02027951522045,31.73072406888481,27.486980075811527,30.638843009331342,34.47789555311275,34.77575679060699,37.554346730812924,36.85953749533471,41.141381983093105,39.96733213002715,35.20496552916058,39.01985315393319,41.25754716623397,38.40772845974186,37.67544881826631,43.61743676628699,43.01919851961628,38.381036271080895,40.91971180851821,45.57410594639967,44.27903924778203,40.635566958725484,36.25752403162924,40.76871336067601,37.172406322389584,36.43255346465822,31.443993300526554,29.977386628369818,25.199063798036928,27.093527407658176,28.698680258338754,32.45284411238765,32.50581914092777,32.911652501736405,28.90432337460682,30.653579070091475,26.777789433136988,24.256514683305966,24.53334449882562,26.506221004797528,24.808390094040046,20.378047464779364,22.8587394572558,24.221979222035372,19.667488924731536,19.23321961602713,23.362987932139035,22.65569128310908,21.92937675715984,21.8819186330027,21.06993269574922],[18.039462913737708,18.900531932161773,19.88326074081593,19.391516258487908,20.230051373060096,13.562366667858578,13.778407339368066,12.043757898817956,9.645507985279984,13.625867375056368,13.158345923569998,12.250425128003583,16.924932443445318,16.902593195679568,18.938542781738843,20.460128645632242,22.473662542464282,26.589173720672434,31.166641015513143,32.67695225698331,36.589369397368145,40.157250140918286,42.00435733747203,42.63886636092419,39.331585668468676,35.47523323823711,32.90503362225268,28.630552212804346,26.897126790805462,24.234423815354983,25.37088277844269,23.516081510461763,25.17711298816983,29.863355796276835,29.14623913922853,29.44216941881055,28.044416293999205,31.659801477485054,32.935510187249875,38.26264972466998,37.1625604841415,37.34573112002223,41.2147257746801,42.41439141151445,44.8603119104713,44.75387609360715,48.731457647129716,47.00748525777164,43.02007750542992,47.94988789478279,49.10413277842817,45.80014638700083,48.192189706454556,42.68498198313194,46.11985196223197,49.24731531041518,46.017796773095725,43.16088826432477,47.56268844233465,49.65883998563705,44.866772638562786,44.54242276139094,41.361360003352345,44.468208353525306,43.45176168669256,39.00541489866663,36.793309592211216,32.69298858443724,31.426134821801174,27.51386563046628,28.31223111408506,30.307413262857175,30.303231587037377,34.592487861423905,31.89461690562823,36.97265682837366,37.00119123887625,37.92701493407498,37.770649484080444,40.126361716084354,37.478034976907665,38.61828973018423,34.83172871155573,37.09096532548858,35.900858752186,33.03744668484299,34.98513239278232,33.175150999777756,33.80389059659595,34.12475557142157,32.327133964976575,34.23266115904594,30.264558864540362,27.061217096086057,22.980760357327476,22.07309218552934,18.667706477137713,19.768290257985807,16.795216282120467,15.969503896573523,20.86222061620326,20.442235266470693,24.475923462192217,23.795132057680657,29.40577406061379,25.85976039660016,28.668229735951204,30.135342849276032,26.8670009578072,23.83548991856579,20.851821243637904,21.473560592000645,17.477666306366807,20.760723292058042,19.913313415795717,23.0435615833413,25.143438218604995,28.182622866772746,30.753744284820208,26.49876783634435,25.089647297996997,21.75856134956125,23.134446471177444,20.65219783215091,17.68555085111204,21.538115064296377,18.76570290018561,22.701640362185042,25.110537153852935,28.1681226105761,30.501304568251232,33.58746461078122,35.34680876870901,33.61561704602156,32.40683693425829,28.633417314795032,30.094737325042125,28.014993384588383,27.382469917329693,28.39279351670177,31.653228632633635,35.26414287193368,32.627810884634705,29.968549825343597,31.4785305537087,27.619437503504635,25.71829300262651,22.387739773369333,21.23804082697321,16.74469640452896,16.575108408544466,12.145410446558955,15.084767472334356,12.041716134034782,11.989193591644106,15.346932787627681,15.792836799829066,18.216548918391503,20.319055484776875,22.811584088741995,26.03719184577414,27.817611132881293,29.976268758938023,32.856251181155606,35.83471506306643,35.63790596408304,37.62488045276295,40.65227645845719,38.46839409423137,35.02067301211996,34.024320115004116,31.21615430698708,32.50962311431803,31.607243178302213,30.539194616622847,29.297327787076302,26.720909677649708,30.70732662508718,32.95077413576975,33.709799389264774,34.96705630247941,30.724435351198977,36.42327608252208,39.73714968694881,37.72042025030981,40.19885750341806,38.84307549791129,44.13361909531975,43.96723336907577,44.756672707715296,45.958323240413606,42.28986234454658,42.130687804159244,39.82305280965502,39.65115576785072,40.06654021614023,36.01676344773344,35.751231395547556,33.32605414817409,30.113667445806087,32.50628299107723,29.21443379783628,26.329798305685614,28.89942769222056,30.007334142620138,25.180981450057466,24.933286584083113,28.28200333630556,27.53194858581152,22.605914714722168,24.92568287105781,26.807851215907643,22.602265499697566,21.773700165716075,26.353721224397678,27.412769882632034,30.90926958363234,33.71049236992697,32.60446116419961,34.67951806101432,39.54370187764363,42.852342576474406,44.2932740134115,42.9627301204318,42.20245904062208,44.067029962755626,41.12133414089559,45.58329777139239,45.46417171265642,39.580167011520686,41.56973602056853,45.99601322810589,42.731058797068584,40.20735560315748,43.50249624200159,44.99787502423943,41.17159980882467,39.37802393271808,35.72478227399857,35.9977848133633,38.58149857298838,36.73440803747234,37.0747720569442,38.20501805639138,34.79568629314357,33.01654672469988,34.14431346029873,32.629464453540216,28.358317472711324,29.141487751242348,29.642506218331395,26.764497444491077,25.772156543475294,30.33463363496715,29.167310931738516,25.12730254371782,28.340770954787306,32.17117382416441,32.377559891956885,34.91570528363373,33.975335664557434,38.28825330011433,37.41369481376565,32.59908915977705,36.20212782870227,38.68024817138876,35.975949001037236,35.03852002219194,40.98670189979215,40.70122772868024,36.079956183991094,38.37034388444383,43.14006528303546,42.129721624640055,38.54108036078831,34.3137584064427,39.06060448869394,35.71658585688355,34.94075363281747,29.96260720814197,28.073266374435292,23.381688163999154,25.65790722768111,26.92492361633462,30.702848774289315,30.43267139394416,30.50123112967372,26.299317187662282,27.71863663930952,23.87886760988375,21.303011628347626,21.22230416232645,23.230041261615142,21.35193995288454,17.068812874921836,19.87623485066241,21.096880065882644,16.360463854651723,16.527175853632016,20.701936096421875,20.019572928242045,19.480871442943297,19.354718932898248,18.50201347569704],[17.697372018525186,17.942014612504547,18.269322841314256,17.180269082189014,17.644509495913443,11.115091280201234,10.708357482040055,9.473594711300311,6.3225250583589565,10.245245052349105,10.270099145598138,10.183303760697866,14.080942769764842,13.787521547040019,16.455413409410106,17.996421303307656,19.473110763721234,23.759484449197878,28.147811655576312,29.732673948780594,33.600879242558285,37.19518192689311,38.94789316451066,39.41209614040686,36.118937497172546,32.230069540420445,29.691454091209945,25.41734273281954,23.99151234364484,21.645935248985275,23.21046524049518,21.597763461083623,23.762083955859044,28.292312753499743,27.20174524197612,27.04959655084959,25.77416015169087,28.906386338899495,29.980602225901354,35.478991237292114,34.0354281717517,34.31253458520463,38.29345602847798,39.304029897728846,41.61790053280708,41.397764263264094,45.40791141540636,43.84199196373818,39.80521823312753,44.72894527551512,46.05926644092503,42.830090436514666,45.39123744295845,39.871271263683965,43.60070740289693,46.59200283400593,43.22144540449103,40.62235599080786,45.11392471452385,46.93998685280774,42.13255680657149,42.06101685779742,39.0455740675806,41.96318576595578,40.73745839518015,36.344680689371735,34.03732774299761,30.079665229566253,28.651306785366074,24.948702455352983,25.591775373347375,27.805185846944145,27.984900048495263,32.14431472130514,29.624755449151557,34.95940614999016,34.74559126448331,36.031870543696556,35.67094822256456,37.82469021704527,35.32702402832767,36.24005037887068,32.71485060849339,34.769893190948224,33.25672867778563,30.525633135873008,32.41700892990057,31.044599058167588,31.430075224880227,32.30036993434528,30.365194792325827,32.526910799872944,28.63485890676414,25.63887148360065,21.265444028417352,20.75045248801556,16.949907708671454,18.402356311420245,15.414943114769889,15.581451047180952,19.519201540672253,19.312918623142846,22.734340129698047,22.142286561381134,27.461749246029193,23.83910832634897,26.955245871589362,28.128411674013265,24.86364662204917,21.977267472727974,18.706184497372803,18.79953571751752,14.518467863933544,17.475332066892577,16.496298040033825,19.50138703130793,21.715851529599895,24.643497830129213,27.419257103927404,23.30487682430008,21.756611827401002,18.354028460571417,19.543258821635277,17.032718804154914,14.116053851305399,18.151528090866968,15.933295403550629,19.823050278207514,22.52259085120761,25.68547117177358,27.944436161739535,31.265889319258683,32.711098824854425,31.161898696433045,29.55614606135968,25.615777138379045,27.08000892052898,24.70598393926567,23.887226442709764,24.899426687178003,28.049639558307636,31.707576110032036,29.158860140717156,26.52252022410501,28.19031866460294,24.478577293877905,22.438880518877042,19.331641908497453,18.41102389744182,13.967030092376973,14.508073191851414,10.552332824414181,14.584233284524544,12.699339160926892,12.113635380141204,14.576085531349246,14.085139591893792,16.49974557815528,18.08932495596357,20.470615377514424,23.151994427919654,24.93469328276553,26.728951721577523,29.826306481606572,32.65103139856037,32.2626445422787,34.41128954825753,37.34049733658852,35.2461863345738,31.69839455379953,30.831509287690896,27.950307049795473,29.45199181776068,28.761032060444894,27.883960644358567,27.010500134554796,24.404817713194987,28.775357481558355,30.567762119698592,31.46973484363524,32.29388556556998,28.26482452185457,33.88876751903505,37.086740087462374,34.880486462299785,37.28929483838178,35.86961587525617,41.112690451187284,40.698170506999446,41.62044266125441,42.821297426799184,39.25665131154404,39.15531138135272,36.94096922233943,36.940404956749404,37.50855860290486,33.408835248055716,33.46073656661795,31.199621671218306,28.161536654585316,30.96112456834157,27.92713689148381,24.72953923709602,27.401915707248467,28.99009826363967,24.266155061285456,23.59724987132619,27.377657859921268,27.21869652244418,22.137430711767493,24.44696118194041,26.778989374009637,22.864385810619904,21.72827100344599,26.421755573202063,27.001753065034507,30.959240387142188,32.9585461095192,31.89758377114231,34.32360355459499,39.00186239650486,42.62898656739002,43.82118573157141,42.52533507996744,41.485007398726864,43.29233562018232,40.194526786593705,44.48235644701891,44.379168255041236,38.33186008234138,40.176501593597074,44.47826830477391,41.16009567446133,38.47923618442775,41.61789799803182,43.0790211493502,39.231083889130396,37.1370302748085,33.830882808771364,34.16157714023787,36.97602533111574,35.547814642857894,36.00093402164263,37.56906179538795,33.99630075353494,31.955317382333536,33.63684031317931,32.347343422620504,27.791583761819147,28.6683335658247,29.737430373967875,27.057640882367913,25.78281209510801,30.579603919003233,29.846980034482602,25.954390907781125,28.790511286903165,32.68776896184564,32.49430481752307,34.87437325444778,33.5996717334292,37.801314243580975,37.12630546083002,32.012987151348675,35.341531660222515,37.88886739046613,35.16950981761549,33.79010234970304,39.80077620185864,39.58757963201568,34.735782755177816,36.73720936276675,41.662353847166166,40.70788378482406,36.99306946436441,32.77946591019359,37.54766849519348,34.194398588162514,33.8665995115434,28.715080441867435,26.898931512939825,22.3217981801443,24.23832895608244,25.213037171398895,28.842564641260783,28.34769855829707,28.679213555931756,24.154584493256905,25.55872918789928,21.419517035719,19.72123854790038,19.81265388633562,22.303417449398214,20.621053607313332,16.250803527095666,19.57535900448048,21.1854266409483,16.496768159908086,16.947072698616502,21.374510776193738,21.193067490984227,20.980726950860916,20.776298746024015,19.812611047808918],[14.06614816467446,13.916603308075997,13.91557656664541,13.580027024401328,13.897837250781045,7.25620979396281,8.139203246462383,7.358873090418693,6.70417188945059,11.398589136281986,12.759288200546491,12.559669483327495,15.40729167593935,15.880567766656945,19.072996164666204,20.007933795953083,20.923258738382458,25.56114625301893,29.859481679079696,31.028568244306847,35.027565976543755,38.29779020365688,40.191424880045616,40.3951916541245,36.87564664651157,33.21423295487226,30.321105479556838,26.159710536812618,25.109107743951952,22.73620857752461,25.55408760304243,23.233946950467224,25.90706363836889,30.47242602581089,28.82374572476928,28.538914792321247,26.623406250659205,29.54760058219119,30.14744067255806,35.3004941903703,33.92852625666699,34.88988051748693,38.80243091344765,39.48076548456527,41.83803068580136,41.244016267515455,45.25373507240345,43.792207859564336,39.343355618804885,43.96383736489964,45.41200109638264,42.37926667581345,45.23043728503981,39.70786293304091,43.58615546026892,46.87043284858819,43.62548228320414,41.24570624807728,45.86977629654951,47.64220228258869,43.13568260844371,43.54187643543678,40.787247741416536,43.852902965385695,42.232759113883006,37.793237853090325,35.96463638677869,32.139327833521314,30.97288541791242,27.642571742015722,28.292677785707347,30.893631383406657,31.044128389273546,34.85857483610512,32.217622934249164,37.63086617310941,36.79465051214371,38.185995518898835,37.32155403330665,39.01983743814945,36.17149508083605,36.48273443473859,32.687802078115254,34.25120444666345,32.71276970189668,30.551806956063785,33.035398092920914,31.875272089851023,32.83820459055786,34.16813594645332,32.6406389913699,35.30890736847919,31.549707669350077,28.520006897165057,24.08116355212172,24.154958128512458,20.31084869947547,20.947970780108022,17.531442656087048,17.023062473538968,20.56561531019935,19.009414842457236,22.621187567065803,20.819468710571194,25.656811780226064,21.48112196907282,24.0544482384618,24.932714222117777,21.302899440249178,18.805289297988075,15.295152484525008,16.375678566792235,12.592750624494734,16.094586301492793,16.520107227627417,19.394811157813685,22.30440984264387,25.019502558026957,28.665188782152583,24.849534547251732,23.285339560708373,19.7123311961276,20.03741962662967,16.940625807212943,13.30392616797948,16.332962305439125,12.78825378374115,16.970508880962768,19.30724775333769,22.849422463158874,24.588692466769025,27.884553040082764,29.718401688874515,28.4802008661266,26.919166451925786,23.248197542276525,24.153491018846054,22.53615840482774,22.338749217114888,23.79231161090831,27.49215219436529,31.359591380952835,29.20469224996428,26.229980583680096,27.983670654855764,24.595475925285186,22.223200547325405,19.069455904484727,17.421807280857355,13.088452513867981,12.644488558804609,9.67949908820891,13.425558363653595,11.88220773092176,13.022995837510825,14.83371476130971,14.491252655494643,15.645675828558566,17.99545461988495,18.99829589194313,21.79155876286581,24.485345060860386,25.89072086731587,29.097664584156234,31.325564523275993,30.8154103332749,32.40692929943285,35.30803386351597,32.80973118675808,29.538559983557438,28.52841318826704,26.079600559695315,27.782248274056432,27.28247941053438,26.82110305750272,25.951376444424294,24.11841976665339,28.28716769575557,29.872362195740333,30.322400178736228,30.86382239276614,26.312564824366802,31.7235566296405,34.903423726617504,32.89902689238041,35.926451434180144,35.079007817100134,40.06609280799773,39.68766675943833,40.112442207734,40.954938176699144,37.32859633749013,36.745346029609564,34.23870559616978,33.921097996712355,34.11105850385145,29.91910921531438,29.66509321561458,27.11061463232813,24.127942393525256,26.615042452770933,23.66428803788279,20.462468329283148,22.8749310134101,24.41540207002541,19.696480192930984,18.957560477471805,22.67943311830736,22.64191521056248,17.484164224877844,19.82122431013416,22.239640903100444,18.47310354086593,17.36285509608042,22.098553586616422,22.54298934432772,26.498340229646764,28.427354711694047,27.236768830284625,29.676854560480812,34.31097075554162,38.00176940268447,39.139635681600886,37.89336593550276,36.876932513443194,38.77939866712866,35.821484421680374,40.10393409197474,39.83931167734441,33.82010840574503,35.836276036703715,40.071542094166986,36.682447096611675,34.13292510146908,37.43756963803323,38.76021924246582,34.88969115030216,33.12316266346655,29.531870682894624,30.14842087510678,32.857442571492115,31.279608192132436,31.997421817148158,33.59661015275194,30.27333273305646,27.923989645612135,29.4682584097823,28.524849771197125,23.875001893758846,24.374670134274588,25.66385004868953,23.128733908996416,21.48525757738451,26.304504502325724,25.84180979633188,21.9743619335044,24.471218118127727,28.39796683470427,28.002663885534098,30.39674775126504,29.13866028197135,33.28246576142301,32.51869302433905,27.353704189216593,30.736341711319085,33.20586337617397,30.46797149526927,29.151983853748636,35.15709841068957,34.91850818114775,30.12342307265864,32.214896119759985,37.083652338049184,36.15324903312677,32.50575662461767,28.35071516141658,33.22060097940767,30.04450160307714,29.524488840449244,24.46544667870146,22.384485471767245,17.86351764904725,20.142795297090878,20.999861485656027,24.70955455518041,24.19327759154258,24.248220440131995,19.932075487558173,21.468512075905334,17.63018499305356,15.270339669601556,15.75660615251415,18.155490392166996,17.062658279638548,12.255239812441763,15.262251655856009,17.36811011102513,13.327818754706236,12.975918661866105,17.543965726405496,18.043248664235435,18.178488825903322,18.104996769025043,17.235114360835702],[14.235474685585348,13.428468423662316,12.7976707943245,11.329348601704709,11.600723426515994,5.198559226963912,5.505513058429193,6.727280555797494,5.42534496903598,9.370426042783391,11.549271757891681,12.5298457290036,14.090439667958808,13.95451579415577,17.915317755772946,18.944824540219997,19.040939336642385,23.76361637908295,27.642728908515043,29.01333857053717,32.8510825787748,36.19317038813511,37.876272290662364,37.8105827206081,34.39255677522877,30.665941910625957,27.925232685680527,23.817586007707764,23.303539328253827,21.493631065016835,24.633949561848127,22.81397161329401,25.911522879881243,30.19289825465024,28.22800173195365,27.38201916835654,25.74798242560149,27.942384324806152,28.242531249502523,33.62630027749146,31.70207219927303,32.772035722883885,36.840484305410364,37.22903708182502,39.32961167891683,38.544096969228384,42.599904568171375,41.434088688466865,36.93144289386385,41.52149113303098,43.26648919356694,40.37277583357546,43.45993095737369,37.95276525007716,42.22535253869094,45.27471052807051,41.83026078784068,39.822284699833816,44.521331661785446,45.903483074086886,41.36354012071528,42.055058303195956,39.5080413997795,42.24211591750997,40.41167656723993,36.108989009984434,34.04612033419504,30.47958556913916,28.988308457734572,25.965725612768022,26.30237671762952,29.005757372809786,29.51846070140568,33.19475212528338,30.919084045917153,36.56683009611906,35.58124733455796,37.40132658667023,36.386681288428846,37.871617405124276,35.299767682946886,35.35847463247229,31.971794283259513,33.2601848691431,31.27786993879574,29.324443325488815,31.65654748072137,31.08866213514754,31.640957816162658,33.583748376777,31.828766318289077,34.64282935495349,31.00380017007221,28.289909075280406,23.656355134053058,24.00467701189595,19.886975668231475,21.088961527765715,17.891204430134525,18.437891038555133,20.964377572135103,19.79006815827712,22.57353041048081,20.930683078408503,25.251440336360794,20.9897892120451,23.856607600394202,24.23542937721612,20.553272285341578,18.458379021936288,14.502674416989258,14.897517596597563,10.757255206489322,13.581883295645856,13.962263422891398,16.40821341475258,19.580277359484096,21.943929199921477,25.915899560971482,22.44082566707654,20.573365438336403,16.9883759197577,16.76205354148356,13.641925797677873,10.000030565534212,13.296977112207868,10.611108205186538,14.865998208757135,17.662559672788596,21.507318733816764,22.900924875039703,26.596702785784228,28.00735973461626,27.170678619187903,24.932136131877197,21.014532130403893,21.64532410853328,19.627940115411057,19.093725176015063,20.759048198588516,24.16861237681957,28.21698846221601,26.31444167962323,23.42307625008596,25.50997936918471,22.449306892000816,19.83871767104602,17.186106144087333,15.927982350063758,11.877718503196043,12.49527235599194,10.564404700591611,15.149814870446658,14.616596392902222,15.118863344235615,16.145120137187067,14.822827907871956,15.894918721179405,17.471361073427527,18.20229334703889,20.05171347228366,22.782998880624806,23.48359147694974,27.076269139322058,28.960664522128535,28.018725801780967,29.846456073819798,32.503030672325835,30.058308862896844,26.632477275270027,25.913236486165882,23.43915509487963,25.623681113943853,25.53298082632566,25.422709606834573,25.11214692716287,23.286752081945227,27.889333297448946,28.847919149701536,29.4817907940971,29.368561407518296,25.14071599814777,30.35485600842342,33.32944305447036,31.05502275412855,34.02253355294924,33.1047340790923,37.97526236416663,37.15593640144949,37.78581162716766,38.57265511108567,35.13887029518986,34.55974680743901,32.150755404898426,32.04884303253638,32.3643405664441,28.02956628478424,28.221091818083853,25.77815716432342,23.194407743611272,26.103644853270755,23.63205631175138,20.028838875704867,22.308434348357917,24.49696523604104,20.030839507369542,18.456281228573424,22.689914082965196,23.51889404327945,18.162629694116063,20.231629003992396,23.16091195841639,19.887076632413113,18.208620171538875,22.86068831150431,22.74322062509319,27.2570588457494,28.142284343508727,27.202516965365795,30.06512471516058,34.50241781864349,38.46014009001604,39.40633057633996,38.36360692578735,37.11264718751305,39.02595704778519,36.01595869504044,40.04480018453682,39.677806824792725,33.51861475277454,35.45289828439246,39.42542662707858,35.89438198760273,33.24606958944496,36.408035169722595,37.512352650055405,33.56344614981968,31.59197875103866,28.425994971914243,29.353016931258804,32.329126189113715,31.260373422492513,32.22403886625343,34.3132126972135,30.92791980823823,28.212453318945165,30.308441007483665,29.728904562988586,24.850986754633364,25.287481723271558,27.18794970339089,24.93219749436736,22.917614979913733,27.81983690319613,27.81654243596269,24.098378469916195,26.05966714237483,29.998010422878238,29.171479490217543,31.465785583271234,29.95462215992146,33.88630901612747,33.20787471001627,27.76511874988587,30.878832302933507,33.26934406305566,30.458887479133573,28.7074716636579,34.73835109375413,34.419563503762724,29.35532917416572,31.203807478095037,36.17943712281192,35.17284807983937,31.353850776203384,27.160435971651314,31.922937869504445,28.632514737676324,28.7051357790536,23.455120093160552,21.70391451330282,17.374536062556086,18.919636153943713,19.528523780727276,23.009126681506405,22.36180353209619,22.959072788128044,18.36483639892653,20.113487092234074,15.89708097489261,14.847022696955426,15.880413676838879,18.797338950138798,18.16455819743563,13.381392655575004,16.628975312901463,19.216295532301118,15.546724739499926,15.177359669577186,19.78204366985256,20.789922123759258,21.174001317779908,21.056764885398415,20.152137960354832],[16.02121187246789,14.5535423963887,13.08998545216762,10.397054328980444,10.148655028172326,5.633965431438098,4.295056412909766,7.649615284960536,6.100551737912093,7.936753801626155,10.973726195501188,13.125324048822707,13.01826376713761,12.227890841242607,16.893706494265185,17.922142088529615,17.018466645261228,21.724067417359855,25.053905764423266,26.599386508527008,30.22234244386684,33.596547637262525,35.04801598134548,34.689387498311014,31.391530417545102,27.633340156310396,25.074075705626093,21.0913355115002,21.22456122026989,20.11785818221099,23.601115140475386,22.348026256751982,25.85097596131309,29.73262086096836,27.42915196393369,25.968207921499996,24.6698150152386,25.98891092337243,25.942539411113568,31.524779227774474,29.001092380403243,30.178390556954675,34.38155658634124,34.45215577647161,36.26517506168503,35.28662248527089,39.3752217592144,38.52284478852314,33.99855041459501,38.547488811593745,40.59531063502991,37.85886405625767,41.17322936888865,35.7203434207109,40.39078129733465,43.157853963767515,39.516722400345714,37.9297353073792,42.67713965390953,43.62669689771419,39.08402386831654,40.09374003159903,37.80502218438991,40.16772337027136,38.10282120354211,33.98366736481446,31.718872787816075,28.487627412137883,26.69508942915827,24.10664482398122,24.110481276941684,26.94972533921387,27.80899805101906,31.231938950283528,29.36349456262724,35.19662753149425,34.00843750786769,36.28204550514912,35.089076139236575,36.308582050492845,34.06458232533463,33.84276343095962,30.96147926916295,31.93889006155802,29.485563825055348,27.77949166480355,29.901769914729943,30.00711573688749,30.105561259022146,32.71714594850956,30.76201093787993,33.736172954866014,30.29653406691257,27.974009859392197,23.238898189781303,23.94050447757261,19.671185296813594,21.34899046493242,18.494981363870128,20.078966524244787,21.441319257874106,20.72165520217781,22.511372741103333,21.146876406892275,24.810753610151764,20.632597455245964,23.81078570439411,23.680302725068536,20.12777595374128,18.478101020656048,14.302924314431054,13.698005996443417,9.402894315733983,11.004753319468323,11.249055808370164,13.038844134963897,16.483531670796886,18.397181936323463,22.734910148752117,19.717773851972368,17.554842747436,14.03368165185247,13.080459417379776,9.941380225570752,6.397149732433612,10.076162275127357,9.063663175910799,12.983751171291974,16.27169056260569,20.242407140557603,21.32219176858123,25.378909482275336,26.216310789437657,25.783940865654635,22.818641167437463,18.657253237138153,19.08880958032491,16.483458090862076,15.46932924765418,17.304162331632792,20.341078243819457,24.550361659577863,22.92268962630863,20.157551120160235,22.60016228990012,19.97184799042456,17.137619117990198,15.195986915265605,14.509033316319712,11.119867619274117,12.95113261587247,12.205231432706059,17.246084084467228,17.65012270377906,17.54758923799176,17.765270903551002,15.526144271196483,16.463989854604634,17.08202127697502,17.52628371470261,18.18586401166215,20.834452639576583,20.705482540251513,24.685136627784463,26.194204088714894,24.79528178448803,26.93371068594597,29.321587510915197,27.02277207149944,23.40956920275613,23.029405758325368,20.488365170508725,23.168007923405938,23.53167468515533,23.79714390147763,24.132152457932616,22.32816486208275,27.317989764295227,27.563932631136453,28.418782537962084,27.58933491004584,23.85486114972006,28.77829262957717,31.489315155771347,28.91597763430222,31.723812894412024,30.697200461766514,35.418290487243624,34.12354180724794,35.00952731674668,35.772113202261025,32.57427180434003,32.072397266278664,29.84082110051586,30.03413440629684,30.56763154002178,26.170097870091013,26.91775168214306,24.751282419205605,22.623695387685235,26.02463382063272,24.0851104707773,20.1779113431826,22.381453519405504,25.201948208122623,21.131785785049207,18.89443861619153,23.52323380136787,25.14519382257153,19.86203111177992,21.680235403371295,25.009686160252127,22.266870366040283,20.243282195733606,24.694320091282467,24.00593452635948,28.93591912274419,28.736615610967267,27.994587409117813,31.232942420189282,35.35024349288529,39.58450962935172,40.255551855135955,39.3483673011788,37.805895850359725,39.64697832180132,36.54107969434924,40.25549086775292,39.86469842918538,33.61245496083724,35.34926533313675,39.03500185423933,35.44289698427809,32.6543764694261,35.555711220289375,36.50562072440739,32.552633164454754,30.23113183039641,27.672108528642354,28.781603603117993,32.029092696887965,31.575014042411667,32.70595411532441,35.29960957468943,31.824020893344976,28.83260579221748,31.542416568288,31.269988632922306,26.24637068273869,26.73197682661362,29.203130442707707,27.245029507413108,25.00166445635778,29.927682190875032,30.360461377114238,26.89096427330848,28.381643373781426,32.26005556405429,31.02912701012047,33.11795589919312,31.29940361958243,34.9710413676235,34.49132707035389,28.846664174562722,31.546051611433374,33.900721880627096,31.10664983567983,28.841635124745647,34.80378406519675,34.50281200003055,29.224589965755666,30.667864656690583,35.73841330478313,34.74654006468548,30.7997040023726,26.68883753065416,31.290451180294742,27.986167849384557,28.749192840345803,23.419730204983566,21.998839568116914,18.099542676817485,18.82249802906163,19.007132226953853,22.072814925587203,21.16801621928279,22.32141427052498,17.44936000002469,19.230074485441598,14.680075517978485,15.365773860643948,16.735581069880457,20.07711940161907,19.787577175753395,15.363408745145444,18.811598052228092,21.645365844545946,18.31280517380819,18.188075354608966,22.677691864107167,24.02448362493228,24.609261488011562,24.41079900643923,23.460952568131255],[12.027696008225892,10.366173168747231,9.669374059627597,6.01052559785857,8.858303540736344,5.782425586545651,7.760314879984967,11.686472476241427,11.090422895020358,13.235154333675528,16.181880225626326,18.298978670759883,18.31710648359306,17.26900871024318,22.104965711708626,23.213548181623526,21.98423712323106,26.61845872601889,29.49665998771581,31.161870697283362,34.57975045541564,37.896391487259656,39.14029392431662,38.39780074589977,35.2360840220276,31.54811555427008,29.14093988372794,25.397423773278717,26.045574306819518,25.209914531503728,28.863277209742115,27.638132087475125,31.178597422567357,35.0604577625408,32.66627384322511,31.06453913558148,29.69163358031306,30.648353054893555,30.208808326342492,35.610306585446374,32.77029025655607,34.35852338436957,38.57585150823914,38.22979217168298,39.74998451228184,38.33156097546354,42.40209320215568,41.98641280749282,37.221925598843036,41.41090930462728,43.829084465860724,41.403477180440404,45.04091126409397,39.68187810518126,44.60347838041186,47.36973739848777,43.7050751117509,42.46738947575385,47.25685812836687,47.937105347504165,43.53917380652738,44.855354136953075,42.75271686009059,44.91239028203515,42.66039429115395,38.68725114304324,36.32561408646355,33.34662356924961,31.270342727906044,28.905815287523065,28.57560151205908,31.246140899659785,32.542227092566726,35.945906751277455,34.39249472347215,40.286726076673915,39.058995301111,41.487376320725204,40.1878375540195,41.20469605325452,38.95914256773267,38.391162944705016,35.52838633537763,36.11402940425696,33.50991448517165,32.28203317171902,34.581908479177066,34.96503319148383,35.11115266596655,37.95944542097247,35.99981818604956,38.975503463366934,35.55822102985715,33.287383043872744,28.544654919636955,29.121833510097854,24.819416405273305,26.645976492897766,23.71180048286591,24.83577406587962,26.516731418120717,25.202325223425962,27.2107345396239,25.122531706133486,28.25927637105631,23.645068995051112,26.114271836907456,25.4041237151677,21.348798457607362,20.60076637612885,16.142828547002242,16.651346582213527,13.198313067499264,14.59303920174366,15.744588637405352,16.71521897419257,20.536285638792442,21.667598357264076,26.527781345823982,24.1090967902572,21.587437315628268,18.272264531563245,16.25317615274077,13.340124271029648,10.124624197828021,12.41263596910443,10.662629219237349,14.770832950594881,17.63856793577469,22.28425876257863,22.075362436575624,26.344278731249375,27.454176842201278,27.85177910524329,24.463018733278574,20.633580915280366,19.553215945305567,17.775089331964324,16.993600567058493,19.74492341677014,22.41116465959984,27.01908931942028,26.17134276098175,23.475788569353824,26.27825370115625,24.252570051598436,21.187514464268183,19.708869835089555,18.77591139739127,15.75570226804951,16.83310693636695,16.44509860087142,20.954512113057767,20.82231222228359,21.739818236944508,22.27056694117295,20.42887248351412,20.841550885019114,21.909988465432093,21.45095664598492,21.807511778861947,25.046715863807353,24.093557254664283,28.342740636491424,28.943568549973183,26.877320769285628,28.606041950986146,30.462563352663548,27.66647304557749,24.332507748005547,24.311035642569227,22.49441747643788,25.895814576859518,26.78597801534683,27.61094875027173,28.13872417871825,26.89467753692587,31.720689599539956,31.695501396839244,32.24955170260178,30.91689455391186,26.951083509369315,31.379958050783735,33.862964193993726,31.381591565904454,34.72404445137416,34.164256441559075,38.467109461967176,36.75718159197487,37.37582037998484,37.64355095789863,34.665920488078136,33.539188027329146,31.030217199843023,30.94096683916979,30.878903289962537,26.17103322234303,26.76658531388266,23.950956921231167,22.540885240808738,25.27281575965051,23.92358197302116,19.951331715395767,20.928268276100003,23.932453673653384,20.133855846674592,16.601380029739435,21.228529951429277,23.629773290942513,17.839588231338404,18.851310025970296,22.436785758915544,20.224528975973044,17.24072879540707,21.291332495521413,20.34712155964344,25.70269255573088,24.88425309455574,24.79565590466778,28.248345354060913,32.51675393726616,36.57464372651643,37.5434324342897,37.3023344321635,36.071843610602805,38.33713962762082,35.77937233937998,39.358647325752976,38.34080413637541,32.22307932600052,34.50321381608017,37.71627344059504,33.71387552351914,31.395190277019882,34.64993993834337,34.76757914333293,30.569801793614296,29.251834252480897,26.382797186778017,28.69054597874231,31.786735083309157,31.176875611848512,32.9837076726153,35.57106202949021,32.69011288455656,29.15480159057098,31.41899327457711,31.820932535077667,26.855422615104338,26.40365838717303,29.027673077989757,27.28480474788897,24.372417176117324,28.960659651670397,29.629734434232805,25.949049976009228,26.73274642782866,30.61442849109354,29.148972893128754,31.627353232667904,30.235592961292685,33.65425347332978,32.529820011331985,26.89307022029345,29.95147848885867,31.663628791343676,28.554767255873987,26.666241406828238,32.54706763892276,31.546273236118427,26.22684392812598,28.239595717969234,32.98801377875697,31.4168700526835,27.37765126948426,22.990254839544377,27.231011292452553,23.55685869227197,24.42015401804654,19.018798146403757,18.32182761933855,14.43627313954093,14.310000532554387,14.995801646185933,18.06768729177868,17.879708469667737,19.69294078372049,15.692157023683087,18.568037318463713,14.618522294621,14.781277696085924,17.539210302144113,20.52430229142048,21.314889295746283,16.436325031767723,18.663871802517875,22.25027484747608,19.974861379822475,18.083741201902512,22.48989455335827,24.55688122973857,25.248484094857588,25.264861142707364,24.46050949401488],[16.952956062150903,14.844062771837766,13.275085592799526,8.575284107747711,10.271214603626929,10.375403909243655,10.5015319901593,14.98825937532225,14.016578979463853,14.14441041903908,17.353758210140963,20.448481432403963,18.897190349613147,17.038845238737913,22.24201810431058,23.37299099166651,20.978727770906985,25.20296052660865,27.048195265557258,29.012744497234664,31.917618138818945,35.239299933122545,36.02692677536013,34.806907113798395,31.991860208997384,28.339552208962893,26.424247379291696,23.103974348311866,24.710369893562888,24.917561172339507,28.669240903340615,28.301825012703556,32.14642787811245,35.427484431773955,32.740915466621146,30.391512069019964,29.60001195377548,29.321182369589042,28.414841940015947,33.949913372275056,30.22657873133702,31.882193144318908,36.20167742116543,35.36113185043597,36.325004308393595,34.60229455354328,38.64781353960232,38.80981997394998,34.14323304174633,38.1677735611831,41.06853700391731,38.943396955714505,42.85730621583053,37.70124992666187,43.11654008688609,45.37324193464995,41.45546252149287,40.875642326327174,45.62833648910813,45.63427363143999,41.278600246991964,43.000500872771006,41.29152996768387,42.8156298819787,40.301568145613466,36.723516854943036,34.0232715539093,31.653418770051317,29.10770228013451,27.45734193086458,26.5859661095195,29.23869027870885,31.084134412757106,34.06902217598833,33.220746940181634,39.209785458712595,37.826848294042215,40.830560837537014,39.382760282248015,40.05757034436174,38.37047388632122,37.48581359098824,35.42451001005474,35.61051035927869,32.411105913682675,31.539441698559514,33.40315776388472,34.69358297775745,34.13793383050336,37.76865148845595,35.5286234693992,38.56457283938998,35.477841749483595,33.78068656855132,29.07307645273563,29.96738158006401,25.65845159514585,28.073359859606278,25.659517650233777,27.869831305638066,28.358174853329547,27.708168334506617,28.55530774018477,26.97822819877226,29.26939632996736,24.99324877105567,27.77641749425987,26.460986454454268,22.800567394550107,22.622656925245384,18.256617133163136,17.494277475645745,14.380922209788928,13.871214141603872,14.642643519475367,14.161081241692758,17.98279091562418,18.015475063183654,23.196956714853787,21.767888002182623,18.85928576048115,16.086157586168586,12.80046369737918,10.648140327009118,8.987744090601803,10.726346163298995,11.958141208185406,14.833154031537191,18.046308600391548,22.52914677658622,21.792603576943,26.404602347038832,26.583899888247256,27.62233952065354,23.24091472878032,19.29625277591757,17.705130487457787,15.078299455162348,13.339915755243545,16.459201680680504,17.951061315665495,22.76972278562988,22.60395977603336,20.370192206414767,23.677548907809705,22.518824161956605,19.359163697753647,19.14193806799822,19.094981063595363,17.147908705870243,19.37982961719904,19.872950324107116,24.75992821039395,25.437020296077637,25.60461608590458,25.447451299882978,22.774031924030776,23.177503198272078,23.1181604729242,22.477633552498958,21.24772508007343,24.106747610987497,21.882083116839404,26.53846443349885,26.45219331587002,23.565980108116715,25.779247617796425,26.991106402178634,24.49873119194296,20.955717720965108,21.68002187917242,19.949235152435726,24.0981490395519,25.68982502069141,27.02296924655398,28.408962532733586,27.187658405130907,32.34097188548665,31.393970748330382,32.263068877204184,29.970364860110305,26.905858702162934,30.732005551630603,32.72533713152974,29.851200583933252,32.82680664942881,32.09604152823995,36.02895289640631,33.513813777333006,34.575839146688104,34.772404763796686,32.29463119846006,31.300488763334084,29.15545728405816,29.549596418896066,29.80754432019475,25.13615195047056,26.612731428408086,24.318084301500654,23.70860097231304,26.990587453684757,26.408886075187397,22.255078064410757,23.064832543220827,26.765115222935638,23.62860641734237,19.53102911417521,24.363052475865082,27.612201999274035,22.20088663863892,22.891444220061523,26.758524253007604,25.18637504600842,22.034512594588506,25.63805173877266,24.046161278278028,29.687849298989473,27.42712786383341,27.67344278791079,31.50930553468817,35.228337023140334,39.55398319240773,40.14647015530247,40.11662721188541,38.52140664229022,40.64877713105948,38.013236095510074,41.08645386364002,40.040035818824514,33.93609889671572,35.88792011299046,38.59140956156065,34.566902070655054,32.12469567076038,34.91118501198988,34.72127677336117,30.60315162457688,28.84310992207993,27.033395477304527,29.583030352785627,32.97122144847884,33.23427734991498,35.20471013242329,38.38643890583833,35.418241659044455,31.652575570339927,34.643208109750894,35.35968078689537,30.3307597031967,30.017643901357232,33.21474924566672,31.80342258456507,28.77949274880768,33.31011023342852,34.42251404288764,31.07679765216621,31.408927352668776,35.13836757517562,33.247660914994825,35.41122065897066,33.662913676077174,36.67867545459721,35.83949257869847,30.10394422486078,32.52004365492877,34.12278128628191,31.120287585648626,28.588925770627256,34.174188116279055,33.18100808819406,27.71583838002681,29.071294336578475,33.792709830956,32.225443506051974,28.098085973829722,23.997789664118127,27.715434168519966,24.091941545026103,26.088429278028567,20.864806717369593,20.8344435751117,17.907059354608965,16.467038840407056,16.466202543839845,18.512174204561948,18.01562515710549,20.76666099587186,16.750886014221372,19.509682579366658,15.502836227719705,17.953635153358285,20.781047698528255,24.09948094935355,25.08561791636857,20.794133113795432,23.29981068687292,26.911488860272897,24.789327854563258,23.462062830565376,27.696251434599628,29.918722681562365,30.738566354257873,30.63754932266863,29.739823466570577],[14.078555772435887,12.460632629067847,12.370955727035124,7.60101617327361,11.946703760729967,11.443562877919513,13.03826971381732,17.32457213402379,16.27819729994821,17.359774026835325,20.25440200178703,23.108258696694147,22.469597932363158,20.506404135353456,25.65172942087824,27.03736651274566,25.055013842973313,29.33053365327231,31.302193884397195,33.423397294674054,36.32750304773115,39.750243883637886,40.48418494382359,39.25076079746613,36.52142329434054,32.80808919022308,30.97112829246745,27.587967186812254,29.01143496591582,28.973504921879005,32.42605744674047,31.97141512952016,35.61510665736813,39.14205822698048,36.668962337783846,34.53817111720601,33.678892736194896,33.73521299096939,32.92768379988489,38.440396014554125,34.80639585509276,36.45020762126774,40.77745020657488,39.95012596892828,40.87536142022136,39.091081709162225,43.115828660854596,43.36621786001529,38.6660292296578,42.59114483608971,45.541987536776325,43.46385882780427,47.39827883019994,42.23055520624295,47.59059871317178,49.92896989006211,46.031222775395364,45.37325842993147,50.134747948799,50.207235678339686,45.81510571430283,47.42844888771063,45.60547839715663,47.14897739548372,44.744549153635916,41.1404342798118,38.28330854954483,35.81375587744977,33.107171736716836,31.20439384275583,30.265664962160756,32.63945907372427,34.66169722410249,37.92983173492949,37.117021502150955,43.11679599153936,41.997506050694014,44.879915179859815,43.590800724051334,44.423452005802716,42.64383360896662,41.85696245898682,39.56917698048763,39.828292751437864,36.76571780017385,35.85567331109044,37.810584612950194,38.86220830959901,38.40032111855068,41.75938719546124,39.4573957644394,42.304126478444346,39.05195803923794,37.189849671207405,32.44394262689347,32.96524191285274,28.610948200811183,31.182419756124776,28.60144829873159,30.314691688916152,31.590829873224603,30.658389891287495,32.11642188384039,30.217471266497665,32.760056493156036,28.211448209573163,30.599751968361247,29.29357413681925,25.281641658583784,25.246443477608707,20.774004393729793,20.91172433048042,17.804847761835674,18.004042188051436,18.881413233566178,18.685655599746333,22.441869885847535,22.49608143468375,27.49968899660945,25.980798830052713,22.956282299114566,20.147488664891586,17.109281469752638,15.076810692025942,13.117392451674409,14.934868949926967,14.841475678172067,18.20270813439434,21.061913476115368,25.836027369304475,24.68006186914079,29.22442692238981,29.843291638985374,31.066733371948622,26.846958948026714,23.132069406306588,20.9841221359458,19.069280175912322,17.667442838147483,20.952705407286217,22.33025934664012,27.18428679697999,27.161553915815833,24.963229249038026,28.26169754153469,27.00177107165609,23.848995555439515,23.33992105530437,22.985532463311543,20.5804556897795,22.208216059589766,22.16376418337429,26.815080083357962,26.745820297847736,27.461387211642464,27.918249307864546,25.728229379151824,26.195143903054234,26.698599146148066,26.05852672037,25.353230438175515,28.431202832894098,26.375103502824533,30.991807505709463,30.800959130730114,27.8347389524472,29.761128178382098,30.791241836011693,28.013003073349633,24.737016570786384,25.494119639760264,24.10400184519614,28.300136860481604,29.862632353142182,31.1868123940926,32.32545214645726,31.16649386534256,36.2032710972717,35.53721922839689,36.23719361584878,34.11208762239566,30.688213702205797,34.5212500078094,36.5568629536567,33.84633782864952,37.10010135880062,36.54820048467204,40.41382400839623,37.88714299506443,38.78013266562584,38.76568090473479,36.3140544413059,34.99526028039712,32.63830958069607,32.74481703411885,32.55673199687592,27.74616535696518,28.843278953802262,25.993102802948044,25.58628018250914,28.17543250201112,27.672476287396574,23.64249506501052,23.692955607506427,27.15047444594504,23.988482445843438,19.34775408798751,23.8978752818187,27.263390582094466,21.459763424883764,21.594398461242992,25.385743754340364,23.934011544326626,20.16047622651089,23.433393418017577,21.992312050659844,27.752979295270162,25.557740792766232,26.378923991820376,30.161913005746065,34.20475203247856,38.16485908269733,39.21298521716984,39.68211374212921,38.518969137803836,41.010312243423435,38.83247366212057,41.9831410609233,40.48700402129543,34.554047166152706,37.0038843403821,39.511163596536576,35.21552590029989,33.21489706093338,36.38154248908964,35.64285989724441,31.354007914214893,30.543579063533524,28.2095247333531,31.45834200711973,34.603861611400994,34.426301205541556,36.72883953986398,39.61479043178796,37.051215499812436,33.121188576163796,35.47999631452034,36.427557630673064,31.51539209147027,30.602568731883284,33.54088205080975,32.08254391377474,28.776954643233857,33.02922618307928,34.01095154579394,30.35384434639966,30.467888171413563,34.21709489828194,32.42322914524958,35.02283108297202,33.79289937616183,36.77090373440181,35.30623264965359,29.729318835102255,32.66137661310567,33.7609828666463,30.49212871579554,28.590204568053327,34.11572489097232,32.49512054593544,27.141609726101535,29.215533311052372,33.57207482991381,31.450311791100617,27.31823557417861,22.916337171229856,26.258642602893968,22.18141415126211,23.964018491710608,18.7330315976059,19.40996386737136,16.298306354899463,14.280982020556214,15.165079405224345,17.355825339081353,17.804657212857556,20.869624801539285,17.758604943641064,21.210147595198155,17.71932226272713,18.911129902400106,22.322795417020654,25.244255936603444,26.601617712091148,21.85403231623924,23.577491792512927,27.476730129063032,25.700071878070453,23.247509528344786,27.45563976113886,29.86687443045575,30.58583965514797,30.639660549664868,29.829715432855785],[15.621681522942248,14.0754916243766,14.311648482338958,9.722540957742648,14.414966132526999,14.888266633311483,16.601710422994564,20.970551708009104,19.980680481042164,20.83495615695521,23.70765267467781,26.724997139140505,25.87137447433094,23.68596908896538,28.878596253203117,30.31546667014053,28.041583199707702,32.133928643662045,33.66398542325341,35.91643513179502,38.55582516854711,41.946275814095834,42.43682642627857,40.92547821108852,38.42261597371677,34.78908429753208,33.21093741117703,30.076528189470505,31.856793598393697,32.13545506411447,35.579393129983934,35.36164706199167,39.056691993942074,42.44116165858108,39.90547578283459,37.567077855956065,36.85418329232324,36.510778681321575,35.482602911767565,40.92189634785663,36.96494253896847,38.72469057443407,43.04513379020192,41.932923739226354,42.54782279248955,40.520513910631706,44.47034761977924,45.094633835182606,40.40524411522979,44.07928690460976,47.3068285765153,45.4654100614295,49.56796341497559,44.54099445133952,50.093699721403105,52.25687686787602,48.29438857120584,47.95500311422343,52.69043499544382,52.45846539428866,48.14707433186825,49.956953131831426,48.30794655845478,49.568068512162256,47.0597454257994,43.65657022585048,40.64905809333796,38.454304333216754,35.51709505968921,33.874883579480866,32.677233548891046,34.89835417890536,37.23418747813082,40.38417068376114,39.90436949200665,45.91511963298351,44.794859942281064,47.86899558300034,46.54087466392171,47.23354223917512,45.6258388375726,44.66494893199457,42.604868041519,42.64416269278967,39.401518635136824,38.733113819141906,40.60158131579702,41.95825911294036,41.310210578672546,44.90824152184939,42.51452661497997,45.328749384244134,42.168900669206366,40.47212103906017,35.7471806616022,36.26182339301634,31.915190260236866,34.69326159076259,32.20884399955647,34.02833287076168,35.18228587316822,34.25103913289012,35.539626596221396,33.56831683163134,35.76597496960886,31.205617054045444,33.404822356885184,31.77684453762533,27.769957281209674,28.159904890783533,23.730427234469143,23.918108004228532,21.117326217103507,20.95076995652318,21.899225620564362,21.223723791369302,24.91331878712392,24.428266329484774,29.480757653930727,28.4562615061115,25.282559470250987,22.7702726995945,19.319415536817736,17.708031409378766,16.235305012924076,17.571710719499315,17.84374968590116,20.838748910604238,23.50833201856668,28.318217191141628,26.577568766194634,31.15695843915265,31.61970748976052,33.323265745270945,28.781525692352943,25.291002620202704,22.497606271122127,20.81793394000331,19.332181013593765,22.84641049332439,23.607749448083833,28.482059473399577,28.974695341780414,27.023365628635524,30.49405743613482,29.662552256266004,26.494430947946917,26.38880188611182,26.163675230237086,24.038743464216935,25.700696893641343,25.850132932422554,30.44886729244216,30.36050376519911,31.181767899849724,31.617572390516035,29.372221350205,29.740440683638383,30.135517460923076,29.260473824946367,28.1530509899465,31.254324364386584,28.677435856868755,33.39361923512306,32.696448790249846,29.296321713596353,31.144926082242,31.67728943802784,28.852919653787104,25.784205489043963,26.916791908331096,25.91002421797277,30.446883346461536,32.34116700520405,33.94808484022649,35.33482165363109,34.339385736961475,39.38212824466482,38.422423821641964,39.10157722556161,36.58927360411718,33.360864825439464,36.81055790753316,38.59257922766303,35.85216741515834,39.1528897412859,38.72787917792327,42.273637664675135,39.355520573550095,40.270764028704214,40.01484388411438,37.8669953301883,36.34040447754583,34.02421230929593,34.14478217639055,33.7715765566971,28.964594633898336,30.21730299478335,27.2970607777258,27.475542410380392,29.811510339216838,29.795686440650794,25.8315325821697,25.27207970643929,28.866940292244536,26.120228159887635,20.961867523610046,25.292781414507843,29.14482497482779,23.440652687367844,23.050376668357483,26.859829020763325,25.905483578044286,21.780774578573418,24.479779908843597,22.773251176155007,28.62245619272663,25.6395536115509,27.01746534934274,30.911913097339674,34.77208759834463,38.59466299354613,39.71187533742205,40.644693822351094,39.57858414523806,42.22113184461616,40.349396852899844,43.23270129559213,41.40775767074844,35.6773125767347,38.26969486159867,40.31358936141459,35.86270508614296,34.14589439732132,37.285566794284264,35.976845308724165,31.678108316033608,31.34502397399946,29.253233660042365,33.0891718368444,36.16929442803063,36.161026518402096,38.77713376941761,41.76768107452611,39.475256737355416,35.32423324542388,37.622015367685655,38.9205961061871,34.09728737391148,32.8485330004728,35.92109262632891,34.6514621111484,31.116567293438035,35.09779253827611,36.26404283316465,32.65938657033927,32.33861082807227,35.95838158143545,33.98458397238515,36.65029903501527,35.57589074512354,38.25466965559177,36.54673890527749,31.101118096452492,33.96679614844351,34.63768094202844,31.303893317621455,29.50161179849824,34.71554468877287,32.68561417358292,27.43652620718366,29.593635050308784,33.590981430911675,31.11132570314966,27.01410513992357,22.697723658171284,25.356942940967024,21.10591732108664,23.387279041571098,18.470623651998743,19.98957472853861,17.48201724648781,14.478949198280995,15.478722051772271,17.00296827897555,17.93679513216634,21.60404245818101,19.247189883446808,22.974619255633925,19.942906340528005,21.388182224859943,25.145749954189505,27.927461836027184,29.65482843588453,24.98393311088131,26.313181594305878,30.37928309923785,28.995321063087793,26.14542144383698,30.171971502164233,32.81970497986801,33.57917962854088,33.68399626092023,32.9009238767623],[16.976980693171825,16.379945431876532,17.87221431229207,13.674939456401257,18.959318218548486,18.48846150389593,20.366583057809283,24.45054933495375,22.82354838733994,23.794748775582846,26.197167163316315,29.31185073082131,29.015751827147476,26.320751477381787,31.40241649425064,33.238809384768196,31.194747704757123,35.117775597354004,36.54471781491044,39.199469608671606,41.67070964851521,45.32316051089749,45.59464736374462,44.10116646129337,41.8584417229641,38.041442342309026,36.790194303050576,33.60057196827084,35.275682015942046,35.588765880061835,38.36362115547584,38.53760162813569,41.96069131204781,45.38022881512657,43.16692069300023,40.88519727430131,40.49108924980226,40.26518426855007,39.44518874616716,45.109036948320934,41.01603501600151,42.437162710795576,46.84197113975332,45.82019668544134,46.28078154298252,44.35877852750789,48.29940961628567,49.04066256024238,44.55515157285765,48.32098129731003,51.604966706926525,49.727610282780816,53.75500878919401,48.72611634293942,54.27508551287188,56.2724082643308,52.19481906214151,51.80456059143702,56.49422374886125,56.207400602999364,51.70392544394814,53.27798908647942,51.49664791601483,52.54549530371491,50.26269169359825,46.944752633962125,43.485658301237024,41.298309192606375,37.9771644338865,36.16235213203097,34.73975182659871,36.512659046082604,39.196026943640746,42.61427510044697,42.42822223031419,48.42204081356022,47.77345912940801,50.84054025643813,49.833787659473316,50.79205114166198,49.373605106531954,48.70374585569886,46.70415943400308,46.971538695767194,43.732270234247025,42.807235257305344,44.41798229958752,45.66891493950879,44.70298594359606,48.066110907393906,45.384184985876054,47.83098500080596,44.58100647365286,42.9295568461325,38.241481453669714,38.325403534413795,34.01418928732868,37.317056108415635,34.97569640164708,36.81984817920654,38.456780611928295,37.84513849732163,39.376442895748184,37.66549048547926,40.236198972672454,35.68332537121968,37.95137022761357,36.483759026915386,32.40560490761591,32.604753783339724,28.135277576601602,28.382361570307822,25.245330385563147,25.221228990790152,25.601973385462856,24.991937906688538,28.378017629227443,27.84054599274278,32.40276130677567,31.378546371862083,28.010039299166827,25.642350470644168,22.491468283133152,21.292126499450873,20.04797288742347,22.037869294050363,22.29298508072076,25.52178214528617,28.26048767268696,33.07839991751115,31.445320325083927,36.00506381095461,36.514976970191384,38.15691334740689,33.642502762765844,30.07907415808264,27.38181904150469,25.547080213977097,23.78569047072814,27.15754408873072,27.416763300409944,32.2400993875133,32.69705785081092,30.99665143699686,34.523495927931336,33.5631521303452,30.490804008416813,30.347490260134126,30.29776427690526,27.855075193374013,29.57039227387371,29.104731489288604,33.73949271848527,33.08808594579916,33.81987562349291,34.76079978172228,32.683135240997544,33.47635715475401,33.890031536135865,33.51051575263644,32.59269100706899,35.431059248016,32.9983645770627,37.73621363177508,37.22566203490174,33.759006222583785,35.81826585590919,36.212356829137065,33.509163606668416,30.414059230950667,31.67676899074602,30.576166343776993,35.099384109222235,36.93235966187331,38.382843018823756,39.692830882729645,38.39385867265637,43.54088415665535,42.75698658427847,43.5704528168985,41.202363255953124,38.01194319240329,41.60375395588256,43.417036872337164,40.62408597654825,43.766329997313626,43.131773695940524,46.7561222851677,43.68556961551521,44.83214070873124,44.63612181125567,42.580643599992584,41.13334429602858,38.87484366832752,39.024764272299855,38.6169121848358,33.812335933276636,34.99840456509818,31.941532286157724,32.11492510013455,34.19961704059688,34.09296216801888,30.20964901608112,29.458793783311194,32.810979544002876,29.95234885591612,24.770727033490967,28.818956862530047,32.489547118296144,26.58039194316715,25.924090548641107,29.49246702580827,28.4313603049389,24.00431392989379,26.419039199015476,25.068536051930895,30.78884653129251,28.096499374200917,29.94241490159966,33.66175659444218,37.75623267141842,41.175635360835074,42.69580730416529,43.984750508811665,43.241538524143785,46.083650817946506,44.46332799195157,47.40502137253833,45.35502271370313,39.77178015423665,42.590781946386564,44.52675326109094,39.97528369815151,38.50088551265549,41.76825288856728,40.17771068116433,35.85178582747917,35.94447741554117,33.699463451423554,37.73652973725699,40.71112962634721,40.46938838153687,43.15164613943838,45.93382395047326,43.75583662388991,39.641526381531385,41.587106800965046,42.847616981410724,38.09030460290825,36.65660102708803,39.420202219141856,38.00118078169775,34.45632402453214,38.28157995500852,39.18506593505838,35.29385250440407,35.054486115214765,38.68461492822173,36.93136847517283,39.91641068302889,39.21678150648972,41.9221822821204,39.80944487297666,34.559184900839675,37.766054064019926,38.12979761939321,34.66180515828623,33.332670689543065,38.43038001378511,35.984993906399986,30.935731765948955,33.50350254755805,37.172538309984326,34.304415711372975,30.306845379572,25.926832304082836,28.042335935950558,23.519926947288926,25.620383145473113,20.999265146507984,23.090758740185386,20.461259402257078,17.286890389974346,18.965770759029514,20.432443934699542,21.949748416425457,25.682444855153236,23.733519712935514,27.61944196384738,24.645954363133406,25.511289261915984,29.281995983863155,31.9085820674519,33.523775249812225,28.602523222497954,29.70864761327459,33.74734679000371,32.20229300201207,28.93647862157554,33.007204816955344,35.48756491934555,36.02051227898198,36.19077874499771,35.395488982589946],[15.88513510929549,14.640619535309211,15.726448994459416,12.15477786093364,17.53423534773188,18.678875650307745,21.107253120159797,25.384237170021184,24.817728981301247,26.099801491283245,28.983113659913275,31.78432659501612,31.156176734705745,29.14017624055246,34.31846342250677,35.712210693623994,33.46964505999902,37.590806766772005,39.037956012823564,41.21890320341816,43.79926943704337,47.067987225761904,47.504264331496636,45.80992722201388,43.36837741502466,39.878026629606396,38.30359418076981,35.309797759648895,37.19284548387546,37.42329183967563,41.036281938012394,40.6282970185864,44.33867615377384,47.81539126428345,45.22518367291822,42.922925870447614,42.02960567298662,41.663235737872874,40.45768000951727,45.66048552245203,41.70207412831614,43.73875096317382,47.982990960025354,46.65465126181372,47.14119712229642,44.85352426836096,48.70357375854437,49.565686942704595,44.75171084646346,48.078247410532114,51.46841769005689,49.85633732121866,54.121291572308955,49.19507323662519,54.8058871146455,57.03779787206519,53.141977609833745,52.96761831806149,57.71415847277877,57.385498417356764,53.232367486613576,55.2194668053901,53.66861492060137,54.89968518481439,52.28775903953218,48.94251690868727,46.013938469905874,43.902964648210435,40.96135404283739,39.381174714609266,38.13515699406811,40.28393476524827,42.71572767034779,45.84552346261355,45.41152889244763,51.41570841558986,50.23345542425183,53.313441388660934,51.89669202151637,52.46839477499854,50.7576548300193,49.58574304386085,47.4263520265869,47.244294177776325,44.02157721533721,43.63838820614987,45.70215624854942,47.09859870335082,46.635456770607085,50.284089704674365,47.97568820691307,50.828995073318964,47.651420079048634,45.8900158817912,41.15351743009662,41.61903398610699,37.264838746520915,39.925595372021085,37.29101905887481,38.71902058750633,40.13561676116331,38.76431915243079,40.29578249277657,37.85214442610947,39.78385172311198,35.031539077285444,36.69178614553475,34.78913713389973,30.634188144556816,31.52486738746199,27.19512495449332,28.047538112123714,25.68276600406264,25.7306460728905,27.141920306417262,26.4175442025944,30.196261458435067,29.516163502846798,34.70120452163407,33.87344196604569,30.701460381734993,28.245852215251034,24.658647476723807,23.03411387645589,21.431327684054136,22.20159285794211,21.80679319464508,24.68317010836149,26.852896685887096,31.778961951458324,29.309788531107806,33.72298305581545,34.4456848416646,36.62453059635236,32.097265565223765,29.0552561788676,25.49515632009288,24.667955549738725,23.62433721013228,27.358220439888647,28.06105533158935,32.893270950566986,33.793406796405485,31.851831803039033,35.33344939963925,34.73708699352602,31.520385110577575,31.420602335521167,30.919748621347694,28.835363111291386,30.005289344380294,30.249663622929834,34.48940806078587,34.110656600131215,35.52369137785471,36.124912750977856,34.164389963127114,34.24291635411958,35.0084640370059,33.68170588524188,32.65743464889383,36.09697118079363,33.30139413677846,37.986562228367475,36.79176347593914,33.178948961331045,34.546184981087315,34.699615091236545,31.578552822360447,28.994164968028226,30.238587943739073,29.811361606304313,34.50515447193936,36.581500715261356,38.43528662059436,39.799878830291895,39.16145838156162,44.01436126648894,43.00795078522239,43.432804390742405,40.75129642280821,37.331195348076776,40.419704513522575,42.04008088248848,39.498907514413226,43.15793162698253,43.11600037296849,46.32939678105738,43.28070737197057,43.882338216708,43.23709479039391,41.26578984390783,39.273347339088815,36.78853971291473,36.6233566543599,35.73360897890509,30.955747744183817,31.938744721710687,28.642499381389058,29.41495470239082,30.97377790250879,31.456141858669177,27.77714753698212,26.21427802977074,29.633335517596727,27.410658705204373,21.722801252803634,25.414046281565273,29.68380397302815,24.175550943443017,22.958392654255725,26.56946258418803,26.33102186085952,21.77447520049914,23.485427018967755,21.59279220467205,27.326016522569887,23.62209030470054,25.824421049280105,29.659942615796183,33.394950665093795,36.79480481000465,38.21009644951243,39.860613731265445,39.16732722197819,42.12832662414059,40.87579066697802,43.51744622752149,41.129514808019124,35.82463788176598,38.82345126340883,40.30234009331017,35.63664443231975,34.52084739729531,37.85240722104054,35.730481337020414,31.421593767619324,32.208554574112036,29.94799142236228,34.63851841997576,37.40204349886945,37.2289922186986,40.30646767241539,43.15691413936625,41.439346804630155,37.040450545990105,38.83899629414208,40.630856206155045,36.071444236669,34.15019548333712,37.172269683963684,36.14617382213446,32.28954271185474,35.71082624169523,37.030198232742954,33.476830139364374,32.51172493551368,35.88253225487224,33.784435584814766,36.66462157448837,36.05825118532359,38.341722052359195,36.07266198598211,31.006195418097953,34.0183806991469,33.953149665876396,30.499282670382485,29.251167762641277,33.97746082085622,31.23075616806938,26.344795740243576,28.99137362293946,32.29917940718207,29.20556809166466,25.292843556169963,21.060311135410412,22.726890180861055,18.209162316327063,20.669740422067,16.401288102149152,19.087509391775487,17.37624673705968,13.352186254029125,14.876441894628718,15.694928481644531,17.653785381435608,21.69325609782948,20.737244413826915,24.89709409810488,22.7379222340065,23.59061203568794,27.84610403588542,30.162502635898456,32.481820220263884,27.83561433824015,28.26600708617506,32.550371868727524,31.929624137566577,28.18236650155652,31.805542871983207,34.818704402984245,35.63549852060114,35.883551250811855,35.21781696047736],[19.65404468452076,18.855579752009554,20.305937625608752,16.791811180599893,22.095125543853538,23.11739361325592,25.37818185522707,29.657681130206143,28.69551286753437,29.71266616857151,32.398222178437464,35.44505641769801,34.801977789942015,32.353159119930176,37.52399748201172,39.13941011688524,36.75826463679721,40.6436857274074,41.70509829432685,44.18579954220449,46.472135655985184,49.85440377360605,49.98978514281903,48.12362070885509,46.00045955015938,42.47487267464509,41.27488385340492,38.42976377467803,40.510135686860174,41.024911213526984,44.283115880883635,44.304341208823566,47.93845549282347,51.28135489829791,48.79661018898199,46.33236390030478,45.76486380668903,45.12695975825918,43.89414225040415,49.20330552195681,44.919369521121354,46.79745988984194,51.08150670797786,49.62028617232181,49.79441173681201,47.43819855866916,51.21546942343132,52.394144149501585,47.75840427145546,50.99149720508539,54.588930150598735,53.10980172660317,57.42116614146217,52.602964961511056,58.35026809017422,60.31651174798078,56.296907436130226,56.330855333138,61.020673166225684,60.419637080009345,56.21101692320299,58.20514657208997,56.721734255115834,57.60782955108732,55.04553144650165,51.91013071046083,48.63150393045228,46.74267493789834,43.45186575095625,42.005025982595285,40.47141763608462,42.30745884887727,45.109462916482215,48.24480529464218,48.213674433467595,54.20724049247316,53.2573131292773,56.49799051444962,55.221656230391574,55.82993439161703,54.39341410324119,53.27518943801418,51.37829860853833,51.18781141947073,47.809687008438154,47.41567833746525,49.21787626119409,50.81317409531724,49.98449560500032,53.716845537863,51.17268974925242,53.82080738709733,50.69365161286589,49.11618986865364,44.41718609081839,44.71226758679577,40.38492749063474,43.47449005567141,41.02689569465187,42.69967147326129,44.12973850910028,43.05902109366336,44.472769281514886,42.25932015800557,44.17694964209483,39.498616209324794,41.23672603877093,39.2540995538393,35.162105940245276,36.1024425213709,31.76872653507673,32.414153930357074,29.94223565015806,29.717589692567966,30.75827047974817,29.749180506148058,33.29110373476763,32.25229633928142,37.15675355444455,36.668437263653416,33.32424805167465,31.151126392644194,27.482373445814037,26.32965441269747,25.17334818222755,26.141992726724755,26.251426056162472,29.010784729504504,31.25100677958267,36.118791198173525,33.53096831612624,37.964065085756445,38.46978535350137,40.83488663895513,36.08800773611909,33.06199016677699,29.38654304441064,28.37010015230583,27.00098144392357,30.69170484522599,30.69524833692384,35.44197800895355,36.60754581576927,34.99540936192266,38.6074818201777,38.217304527390795,35.06048628629933,35.24566452087038,35.02154605529547,32.98225454961673,34.398441878594056,34.487176563846795,38.85700039501023,38.33884330743621,39.56746373361955,40.30511859494554,38.25706635716809,38.553861960953284,39.10477448382834,37.98367798360325,36.70109155827848,39.90868279175327,36.85416798987893,41.61374183657463,40.265196168125215,36.36853934133787,37.915203685547134,37.68841245086388,34.74718408562394,32.22092157972345,33.77986399397467,33.42153588033706,38.27859232985487,40.520262543658674,42.43845211526772,43.978710123668606,43.20595513446936,48.18268263839611,47.025190041000776,47.585340029010595,44.708760999753444,41.55413734504845,44.50105838204954,45.96130537691031,43.31690365793296,46.789948866835395,46.62780015781509,49.68978422582445,46.28190886085728,47.11531784978781,46.41578018611761,44.728211237724395,42.7680793413493,40.43907547567142,40.40446318325526,39.52776355003138,34.8321541236937,36.00111924519565,32.78489307785275,33.822113771052656,35.30482847211225,35.974328577867695,32.33619408291145,30.59034193514153,33.99806922794205,31.929453164216223,26.1619301754583,29.643716836328686,33.99506807606056,28.537711706738232,27.097090917830773,30.557795075711752,30.45976109876172,25.76777509604146,27.105052108789323,25.285980097832297,30.841262516090364,26.874045568348944,29.504264911866407,33.25285411480956,36.85949815819016,39.97630599074508,41.53965606535874,43.57028257298043,43.016879345688274,46.06992435814781,45.03759802968621,47.49984969990191,44.904074432037206,39.812038965870244,42.86481138989672,44.01152646281227,39.3015103196777,38.39606632247206,41.63438077433753,39.128301852011184,34.905563959588335,35.95808201069936,33.964140299088015,38.88460055638051,41.61161669931744,41.54532792710731,44.73865133390649,47.61066987758964,45.99760561236462,41.549880276696655,43.29089384366096,45.18326169210733,40.672076746367686,38.64407495889402,41.62395447349919,40.616288041804935,36.720630336102104,39.98358936731141,41.27518010658439,37.66495749749174,36.59347673069379,39.87599785672239,37.79526634076077,40.76483204350786,40.32723327090097,42.44677699221112,39.98028168928537,35.10674741034765,38.104855067255016,37.73258057056809,34.27616433882441,33.19890883603235,37.609121029248485,34.550164958920526,29.91477489129973,32.58971509553331,35.498218325621494,32.12067302649486,28.391022914023335,24.408809394654803,25.25876264089653,20.772955849404344,23.479965427338428,19.831700976645315,23.031458210554316,21.617827428485082,17.37735476130852,18.99151007423829,19.31722321598744,21.516058954298476,25.755595184552426,25.142456798370354,29.30321959046884,27.230045934795232,28.23034823637462,32.49708279242493,34.79532487894839,37.116718837092826,32.433584625658455,32.80933164394865,37.091996209963085,36.42459568662616,32.55528884716211,36.165038510798084,39.13607219314282,39.86457676712419,40.13408323459571,39.447532489248815],[16.884676560564113,16.75647319152643,19.245603719002055,16.466633395255727,22.40827512395399,22.704964009796196,25.55627301515392,29.51192924102476,28.675267171872868,30.389274074783398,32.93666115610842,35.5902532555905,35.64198951068984,33.44410159369707,38.51497968217423,40.1683710513566,38.27064005083148,42.39920787488758,43.97222107749948,46.36833135674373,48.948718812008345,52.39333363878155,52.76665577220403,51.132159346057556,48.78592410013678,45.160943888994815,43.68829073147809,40.56699227763645,42.24616320940182,42.301608998403886,45.50223625045264,45.15248282189643,48.626651763409264,52.27975186371142,49.95138713145492,47.832234055011696,46.997663117841654,46.941264376024456,45.918341966895404,51.23769654146003,47.332315592710316,49.20299246970046,53.50166952529532,52.27980620474018,52.754594695612795,50.5283667055511,54.38417648199502,55.26204699762325,50.50247015840816,53.872673000267795,57.255536499432985,55.599826446638254,59.815791514732865,54.84056362554671,60.387999280147554,62.64349031113568,58.71779916648782,58.40687615263849,63.156056031141944,62.90965756259198,58.63012566694132,60.42121575065602,58.70939842946388,59.92976447593777,57.490502441888445,54.113578046986184,50.943941811810305,48.71843977615354,45.590634217893694,43.75632255033938,42.44867883324769,44.29718142540261,46.88447986448776,50.29501638435413,49.92523916347158,55.92447278715327,55.081903065774206,58.04998818754003,56.86156704362678,57.66284113575241,55.933842454350454,54.97114836712447,52.6554657895195,52.65482772512723,49.54524912647995,48.97891388855375,51.01117827081613,52.169626269042055,51.6704098775523,55.02509666903882,52.58590960204306,55.18907531063577,51.865714986118356,49.99770549351411,45.26864595753351,45.36012503388433,41.030137461924845,43.9127290368403,41.2450945777134,42.37167958959962,44.426156409113645,43.03710393658806,45.020641988473216,42.54022818479238,44.824435857250094,39.964531432484534,41.46744062883677,39.73121959740916,35.42598760082238,36.202156225491215,31.87696772939905,33.119499914399505,30.558616541478962,30.99807134565003,32.193533247553944,31.710529919369602,35.3911753759863,34.83453653078369,39.755669128618095,38.76503367734721,35.49554698296097,33.004858783381074,29.710632638088832,28.15863729629311,26.431361431668808,27.6392824814524,26.758799629069205,29.95280974892335,32.03003368120858,37.02237803415712,34.56984362376869,38.8569047691689,39.86375424468346,41.98234540173069,37.657626714607964,34.64633334256723,31.098529209559743,30.41253881090687,29.373484413046512,33.05963628606754,33.677852014834016,38.51258511464864,39.32800272154432,37.43050576631858,40.90843481441165,40.10245172866717,36.91228326843783,36.577907351086495,35.993165828559775,33.531135993940794,34.444656947598936,34.14529610739824,38.19604123470495,37.16584108556747,38.829015040004826,39.965272098629725,38.35910587084806,38.65827774751855,39.72202487640636,38.65738383296241,38.04465807813992,41.473436483080896,38.9316583052033,43.603498144989835,42.560731535569815,38.991466152819775,40.330955239395394,40.457855375408975,37.28467268844358,34.784843701096285,35.99401727315807,35.571665947974765,40.192506102870354,42.14775123564432,43.86470334529817,45.01613263179103,44.24574748596938,49.07972775055922,48.362040382265654,48.757126114275316,46.313889789384625,42.68429340797196,45.91716121157443,47.62774143864599,45.16646820038481,48.89211234191922,48.82740017545677,52.11766033145791,49.08792061694631,49.68809933044429,49.0074473015391,47.02450393623275,44.94446419310735,42.376023484034064,42.06249358617324,40.95467782283234,36.190101203317326,36.86638023478839,33.29123125471272,34.03635122410477,35.05221139552302,35.44534106220229,31.999689263785513,30.057400949389258,33.00916470588349,30.776732216889222,25.157492305628036,28.2513785305809,32.22807334786689,26.68271571220167,25.025072146396607,28.16764206686236,28.00068771880805,23.178707927765846,24.233622054911034,22.822829171522343,28.129339367222716,24.900735819453338,27.702295686022676,31.154629602483606,35.12031797713098,37.847926288716025,39.83304496581665,42.001976865308166,41.832349074724604,45.07901802367672,44.288752406112565,46.99255379631468,44.2530726484157,39.2801503583298,42.642930635312915,43.96071653007534,39.20331218250412,38.51865180338664,42.087360498052604,39.595192281488316,35.304249205510196,36.83715916990007,34.191202073781646,39.17016515444971,41.670272119912845,41.0640624573837,44.27736320146004,46.75154928708027,45.35886998120365,40.99670048967495,42.16402076589201,44.01239527597377,39.66278526648729,37.355166755679605,39.93734749439215,38.825825675262784,34.92726999032719,37.952247630675025,38.98963850433723,35.20262181856649,34.15636322211199,37.40565608772287,35.5877854472909,38.85680898489266,38.8399394979424,41.062974781933484,38.197129225937196,33.558530901924314,37.012717189042355,36.44854334529323,32.87253853727174,32.413489410952,36.861541368066426,33.54745284111804,29.123507709650656,32.38842351800698,35.130253030328234,31.550235407119086,27.924579863959217,23.734516375836776,24.65365255005896,19.985316563132294,21.832226967146077,18.27627609754485,21.572041259589685,19.882950951069507,15.940541692253687,18.275950996266555,19.08646534089223,21.745111229571695,25.558363168750976,25.28356942317147,29.61055170883967,27.70547652499077,27.607372454643993,31.938267600579074,33.89489059594203,36.25808623751645,31.39585416702411,31.277052163956043,35.53107499571349,35.05218526391,30.6056657086419,34.05667062274742,36.987762778277634,37.60303695121131,37.97509109658609,37.384109966169234],[18.622289812000236,18.803729268163305,21.3263135957215,17.847107032864674,23.671155939420387,23.015618417646778,25.358732398062116,29.22762608161065,27.57048916538029,28.9108852062337,31.078620770571384,34.03223514782057,34.22190515047036,31.452796830360057,36.4208802402503,38.41811275053155,36.58789602873067,40.4784224353509,41.901016663010715,44.69263466722698,47.09889212919573,50.827683302723045,51.00108805420451,49.46757810868946,47.35015901179153,43.503554712225785,42.36490654860151,39.17010964357183,40.775861805681046,40.99981162981356,43.521006401666405,43.725403104052326,46.983454130171,50.51408423319246,48.470518888594746,46.29894675818121,45.92512423351744,45.84684902849236,45.07747812719886,50.746372822666125,46.64377888250359,48.033238568463844,52.44892918124234,51.406999905701234,51.77870590517192,49.80404713401375,53.70513279616212,54.574068901229175,50.10461715001283,53.778100143414605,57.13723150424539,55.32236599972772,59.377194277226344,54.36224059848047,59.908993794351225,61.90504245901741,57.81295985483256,57.41831076746956,62.09957193620416,61.79659535149138,57.2579218556793,58.760653251974205,56.91949677656612,57.899775200524566,55.70800883814672,52.42468972956666,48.80028900983026,46.60613431825719,43.13502192945661,41.207354646183305,39.70170588981662,41.200652135070996,44.04820857477035,47.62412432236284,47.5521440657205,53.515318344644704,53.10187556091181,56.114108665340545,55.24876351402606,56.31837135975158,54.89716790018319,54.30000662775037,52.21005588209463,52.518344497460404,49.330667110135224,48.383699031677615,50.00371970243762,51.14645123306209,50.16821304358514,53.36444850717604,50.59972645486553,52.85920234797864,49.52925788093111,47.822762635553765,43.16344503113175,42.96734405293428,38.7014275348841,42.14598210560072,39.7718595908193,41.3281799794417,43.44126673856421,42.71918921365446,44.58569121228936,42.72934387509388,45.42502870098555,40.74599293803562,42.76583669720755,41.292184170453474,37.070762737012956,37.37458476030598,32.92354465650245,33.59161713602001,30.484384529905594,30.72560681343463,31.128484374810878,30.611917981116786,33.94353924194807,33.374502891918304,37.77689813774383,36.76624724517542,33.34482269075354,31.02459853184941,28.00847439811713,26.882338294860094,25.55333405987543,27.562174475589117,27.359764849330755,30.72130735998457,33.259925034621844,38.17334332713653,36.285935574553285,40.751943651172276,41.482795763620146,43.27249231994874,38.83177500839841,35.41884817760077,32.43454357467119,30.94573786509926,29.31564905972158,32.74965157477099,32.88218759171122,37.67910341185252,38.2551998235162,36.619226601994846,40.159970011776394,39.181258421571286,36.1159109494778,35.86986133946508,35.70363859448188,33.066816511838056,34.49148555538821,33.72593723302511,38.13551943338203,36.97699212931566,38.02245665113895,39.36046043344767,37.584985054223004,38.43828139679191,39.125482604214156,38.771088029787535,38.08714889056673,41.01270047733597,38.6212027666273,43.35526540098318,42.75015833815175,39.19629782189314,41.105205848102834,41.319427193897795,38.49581749180144,35.60040466984403,36.91906999402543,36.02097130754533,40.59119027647601,42.43864357130401,43.90137377945606,45.10150369358431,43.82379485205075,48.91489722769357,48.26981345804349,49.00246273051674,46.69316829760318,43.341949087572814,46.89574761993802,48.696644556440766,45.9920460674284,49.27431648459426,48.73270743291427,52.282019007177205,49.1320763514784,50.20987516414052,49.862185001383985,47.88620581477729,46.238227110187665,43.88663833715588,43.87695195260131,43.1807407654475,38.371152126251566,39.33136980087003,35.99411435691271,36.370992086982994,37.914469093766975,37.93222951375157,34.25576612983115,32.95753554202012,36.01006942136479,33.31226042100432,27.97627221637735,31.4954439286596,35.137486848985496,29.263413830025584,28.08983986094224,31.31130952940166,30.50722504817923,25.79679306636006,27.50369291185342,26.401690682855907,31.805026874042838,29.175294368535955,31.63881624133337,35.109244797861834,39.290794492619575,42.15767259475173,44.11887733846901,45.963760567776916,45.65287231190233,48.77045348222011,47.623885423301466,50.51692070605554,48.06816876335787,42.81218979204583,45.97566946670983,47.617916270418384,42.93071661992552,41.8983710608639,45.36031983702242,43.263001153399344,38.93562684140332,39.81384914037168,37.32276642109817,41.82996422061343,44.56910954932868,44.0410009189305,46.962149706816206,49.490175701745486,47.68267605556783,43.49800597829641,44.92429817051399,46.37702758113821,41.817634643674914,39.941940745243826,42.42880195995641,41.02763255486098,37.357709356141285,40.77046822921866,41.5398110708266,37.51028109080572,37.034774936974046,40.51172721469816,38.89904307492787,42.19046953271751,41.99391246487863,44.53623206580696,41.88440231254859,37.00893651396645,40.51899721749612,40.347012792852084,36.76762109965808,36.06309408832633,40.83925814325148,37.82077956828751,33.15431470224337,36.21978872616569,39.33304832728819,35.97488598038397,32.20538895257155,27.88971038549947,29.22560124392484,24.55257864564054,26.396980022921717,22.418832713710604,25.226586388826494,22.87496464069932,19.40904367000083,21.663674069176455,22.86764386624995,25.08893168498217,28.87400035718698,27.752697395610248,31.89155339629874,29.329187021137255,29.513770858829872,33.50453522169053,35.78755408885119,37.61461647922645,32.56403757674741,33.06889601811932,37.1589593040117,35.92058667804026,31.953078699272513,35.799028240184604,38.3219259044354,38.72785717905144,39.01612426449447,38.29693969045469],[13.095847200466409,13.15699604504223,15.997235974664614,13.202077492506273,19.395334305964404,18.866222465864794,21.862224070328104,25.606337762614494,24.734672524968218,26.780530631886116,29.24470743605711,31.676626719431543,32.083599272295935,30.0725959230534,35.04801528366034,36.69051327109453,35.12527283681612,39.40474637313075,41.39212436306513,43.69364463305058,46.52011427423055,50.016353554901336,50.61518950852207,49.24460362028003,46.68647834865184,42.96618828934952,41.26571283632941,37.90963327634835,39.2445343649504,38.982058832755065,42.120642604226994,41.54552747284326,44.91593337815996,48.727612324660015,46.50597831626718,44.62268318622199,43.649727296252465,44.012522125611234,43.212492607627226,48.59947472152655,45.003654252769216,46.76038248295902,51.07321116378834,50.12730115838509,50.89972879414963,48.89740246375083,52.84513145480048,53.36693120274223,48.580797124586425,52.20467096813346,55.329502668544635,53.438724617561014,57.49469585844712,52.37457432001776,57.72732587678573,60.165237017637054,56.300353247042615,55.66561533706563,60.43820812953077,60.50384781462722,56.13294238763283,57.712224034924375,55.812263216773154,57.3107847341638,54.991446929546264,51.41612206700043,48.36339587599873,45.864971740143815,42.928005206740295,40.81607359789192,39.73480160739453,41.683158340866534,44.003848974247106,47.56820350547351,46.8899600676695,52.87232621759342,52.0730862847247,54.83198058307081,53.71140799400748,54.6737100348736,52.770965364073255,51.99674691202774,49.43712481710653,49.6619505565087,46.74651431213758,45.94233558868897,48.061159184042545,48.8929436382325,48.58020598240429,51.653195762779454,49.29663460749878,51.891108970349414,48.4613563918701,46.41660438154565,41.684276026066705,41.71272430413355,37.39329888800145,40.100128034393414,37.33519894491686,38.25451732954366,40.56428829807993,39.134233306123136,41.373087938523604,38.920645174016734,41.56277313056486,36.68486359424534,38.296410633242175,36.86970235969919,32.49724064442789,32.90659332467452,28.54068717098998,29.89341956168266,27.109870822237575,27.944065527850054,29.08721153642554,29.022280392527367,32.744945179959664,32.639173014191826,37.51581333925046,36.07707552894623,32.91712155309624,30.179914190062796,27.244549386033306,25.391799965237432,23.29371822173034,24.84919091905747,23.502962855661362,27.04294455188277,29.221721696880376,34.230222482092934,32.24527224419772,36.52078335487607,37.73638953686384,39.42911015349037,35.40703543989555,32.206033511756765,29.13062565539788,28.305848963973606,27.349687349647965,30.90037146803631,32.02455475482495,36.904511593730746,37.276565615438116,35.160363664594506,38.49786532985726,37.29929408407975,34.12846853556835,33.414289847626,32.67819281107417,29.928376028860896,30.688303568571616,30.11323157885917,34.10710154047221,32.915182249445806,34.609148070467626,35.88961359505014,34.44971547191744,34.847579573668284,36.100448073698225,35.25377948274149,35.08077854510583,38.506955291190486,36.4491217021083,41.034214253533335,40.44457439414533,37.241714728370766,38.64507119450959,39.228853193845964,36.0394577999532,33.32588244009512,34.215741187438574,33.478735896272646,37.82408334399695,39.4761265768847,40.92990602306236,41.81346248375628,40.90139858940949,45.6945376910638,45.29966720386146,45.692779550869155,43.64205204697088,39.7830102092587,43.384173457128284,45.35035966523367,42.92562133359178,46.646086015538984,46.475091123396545,50.07784453545753,47.41157806813269,47.98387350499017,47.520131063335285,45.23047825652565,43.31182987269714,40.66444075807021,40.30855622066155,39.330292895045595,34.49110315937419,34.97947505201732,31.362845459035437,31.570814654570082,32.7421386600538,32.659248527836624,29.15106353318424,27.649933202285876,30.456449581564843,27.767479005767232,22.473764814089034,25.796887301254415,29.340671080100467,23.514343071326472,22.234426391854512,25.420818795325015,24.722507682369738,19.983368445826116,21.657824069316465,20.549444988724396,25.981923972810115,23.652177124890194,25.94605939058618,29.353958998534324,33.683670230176304,36.58272108881883,38.57588375605876,40.286026821766136,40.05928842910518,43.21971393259397,42.1426054071828,45.177355429883896,42.72634934065752,37.48723395611677,40.79669405818684,42.61778932642114,37.94304879607419,36.98377196978093,40.66835596702009,38.715825676052496,34.34419612962399,35.47826050287322,32.480106394088956,37.00358748640071,39.56118648983999,38.708527050959546,41.66435297782333,43.99224344644153,42.37588750889227,38.195255086507004,39.32497111072659,40.8538931943668,36.416544655861,34.32588177453542,36.730509439382914,35.401265137310745,31.65593613022769,34.94321583290084,35.75760248682737,31.80012765797911,31.176229806136448,34.62749189865892,33.011114679057606,36.33329681266888,36.23581803022209,38.811256820307804,36.085884019888624,31.25019416626,34.91907298237565,34.76004217904358,31.15208119871954,30.659954876754274,35.540524355253574,32.57299688480126,27.9182019294923,31.24956669386341,34.4382506130542,31.164877516275677,27.380251265345986,22.88531767790634,24.712606808864166,20.017250055664245,21.28930023209067,17.037228348900378,19.611924150445045,17.12028404634307,13.86855353993968,16.433869609568198,18.082969891465893,20.447903281593614,23.833663358956567,22.954425661612227,27.19670599842364,24.952737632865976,24.39306224329833,28.53625334609753,30.532729675821873,32.61449690728425,27.602343126242634,27.654546472710944,31.81357617866868,31.040336979251283,26.683966593375757,30.323739135256368,33.055238692273015,33.58889322003599,33.94345799508153,33.344789629374404],[10.974769546350926,10.824492319440946,13.360582855148749,10.083940179076004,16.169957677107444,14.769419999314767,17.631941239490157,21.2843888119615,20.24740391812416,22.38283250546872,24.810238595146448,27.174616279139403,27.702955210530803,25.788531563661355,30.703589122846076,32.329093147004734,30.957738088142328,35.315174346343966,37.58356029205614,39.81848379585158,42.810117924742514,46.34873317080882,47.10935645720127,45.96249085798816,43.25692964657223,39.45976822082706,37.61553571851491,34.089531132384046,35.169414582385485,34.72583968925068,37.79929392119513,37.134651685506185,40.457927063925645,44.32204146204722,42.16261600334496,40.4033328280289,39.39777989323856,40.011460961367106,39.399631280788796,44.881361072810435,41.48985142714212,43.08867804559885,47.41422762462399,46.70507516236488,47.69711681909492,45.92021092678634,49.936678632172054,50.16113540202403,45.41841839189623,49.290153393835496,52.199059876476554,50.09589067078725,53.994273715763605,48.77205780065166,53.981340685509025,56.49285488545895,52.6565037450261,51.784715649688486,56.55582650193051,56.83234091957334,52.37704636057117,53.783505153147324,51.75484236998224,53.43300811618665,51.20761066866275,47.50445388729227,44.531800111704214,41.8500283959194,39.06390932858862,36.78233021597929,35.87738367635224,37.93709510395305,40.028640546162954,43.65955781643027,42.76550968392901,48.730102094591714,47.94602802812929,50.58051933396278,49.51086925701832,50.59068515357103,48.621545253494695,48.01982242666935,45.359471263153715,45.78852250265307,42.980344165256874,41.946676150167555,44.05031296022725,44.682793825038104,44.42751490883876,47.33212702094218,45.01286724514604,47.61162147046796,44.13764839769977,42.01309112288663,37.279827803465295,37.32187777045121,33.00483240668027,35.61468280632518,32.834196971137466,33.78937047610357,36.11644246960101,34.81934700897282,37.09803417715992,34.837225214757474,37.77359309050679,32.96745185751266,34.86026350375528,33.71509582448706,29.380476400804117,29.375010040035573,24.952409664090794,26.10728574388889,23.031551542955086,24.056167567650622,25.017662123136496,25.260672642069878,28.957815482570695,29.220986585714257,33.99848794322601,32.21835838158088,29.16442239788154,26.255982501460807,23.640688959510094,21.585635070186868,19.261053535652895,21.22566653849756,19.78395973830948,23.574866151954176,25.993353723664768,30.940352286066556,29.520637007074676,33.83386323750408,35.05383081783958,36.314796188011,32.481167195926645,29.02857652249792,26.543326296322277,25.355392457941363,24.33574050374598,27.678780165899227,29.155888727716608,34.01401909895024,33.97565683583123,31.726792371304672,34.94164935583251,33.42792890711755,30.30381335679919,29.342945142637646,28.60300158396205,25.666257850339388,26.512756138973508,25.749979402667538,29.883705182116035,28.769795687878545,30.222910772874478,31.49333719000934,30.021876231618393,30.574190635980276,31.7991589641707,31.23872284483349,31.29817352452429,34.59620745007444,32.92500575106425,37.43604842814198,37.29255932396894,34.4105560417238,36.00252601687198,36.98554810137591,33.914532022168736,30.934143601331805,31.58073814789958,30.460003441490827,34.546748318715466,35.944062503647146,37.1496857674255,37.88563528581289,36.769330349290115,41.598957372432686,41.39970171921124,41.88220364412992,40.120927609568554,36.21439062999219,40.14730242866025,42.310444824630586,39.84253529016171,43.413792567775474,43.048747897936806,46.933550708414664,44.5409217678901,45.19912115472017,45.002595880660024,42.47970775347331,40.83848373539418,38.2251520335368,37.95794989906098,37.262925421224516,32.39927412002448,32.899441261866926,29.43853172230273,29.106198561386318,30.7125173486992,30.160753295329208,26.487749671916774,25.691331008362344,28.52416535113434,25.35365235388216,20.482373282093008,24.266708203123535,27.40763806188693,21.339670297951145,20.717657398852758,24.06752078647111,22.72627201457025,18.288505904103445,20.876429228257265,19.957188796112725,25.51579976531866,23.902720172380103,25.48030508786671,28.920220352122044,33.430576042702384,36.67554194961538,38.45431751486445,39.56159302565697,39.09084325307926,42.03377771711305,40.50383545206288,43.79963673055766,41.770000171445645,36.197718449409656,39.26890187939126,41.59187905102596,37.06925987319374,35.68766914019571,39.32451984386403,38.01338183263037,33.61969007758619,34.035858105989035,30.95805944994905,34.852875357316925,37.58205264257742,36.70012551909275,39.308626752179045,41.64682650282658,39.63986327074053,35.66307921657633,37.034399058154264,38.17097725180626,33.55450659587883,31.90879868001733,34.280228637545626,32.729996002713236,29.21432512152124,32.93794507320902,33.59482757879258,29.545551608715556,29.458950520790026,33.14019763613215,31.654151688262182,34.85582847585609,34.447229953752,37.38020046098055,35.04363503138086,29.906449524131812,33.56573436376373,33.98506703453488,30.44149496265423,29.610169623584543,34.92676447747187,32.508199203425555,27.55803062764457,30.63446769969573,34.372533834952186,31.569663073142337,27.621483635080505,22.97760444427147,25.71169888917097,21.179328867810238,22.212661210290474,17.32150444120352,18.889072895049768,15.60534881452627,13.267506039713723,15.573746348379327,17.931434199382316,19.636001848454903,22.62833655155805,20.794919152702604,24.781146524326434,21.99552911886542,21.412888816850508,25.221169664016433,27.47195600644795,29.133142029184093,24.01290860380787,24.61318612100884,28.6459388001654,27.339525347845775,23.47619010335917,27.449062786189725,29.930269781663334,30.439459113393028,30.71317992208795,30.04918198218608],[10.049985562780252,8.54066604799516,10.130844136476458,7.555600274400603,13.614785213462799,14.231670434025975,17.489367777598343,21.358656995476334,21.517811578341494,23.73231636470127,26.680389479888465,28.77772568386665,28.745943716677722,27.53099135164708,32.51419877501381,33.63706143741308,31.980942479236514,36.478510780030604,38.7075369808935,40.447485048847604,43.52631007337296,46.6602049166598,47.58894827842012,46.259727151692815,43.35408477896949,39.89822712340815,37.74130800849538,34.44135814713801,35.75729306277819,35.28965548330125,39.24104342133629,38.029303373971146,41.67378499528634,45.511710415062495,42.934751828379156,41.11168950242196,39.627175311988786,40.02812874174431,39.020699574368344,44.0206144137407,40.77741698561619,42.97110300583075,47.118797724510415,46.11899850310786,47.15375115168948,45.05511943184028,48.977841752023856,49.278753025967994,44.23832554492151,47.70054652655556,50.67538834197558,48.81335511285081,52.920990340423145,47.8141541036149,53.06737661272693,55.79716195978118,52.15097939145284,51.50168237064305,56.312994010593705,56.54153185524015,52.44947389481482,54.2754805358916,52.50455595503502,54.349568718700944,51.786208848217896,48.07568233616219,45.65911186257118,43.09144263432109,40.703671874708945,38.727855498136456,37.98714516418233,40.44661736319335,42.281287293190346,45.55257326531632,44.434420820274866,50.38622577363856,49.02439906802225,51.69445841336878,50.187012785396476,50.84488218746479,48.61130752100799,47.49017822960455,44.71739140789893,44.680077041796714,41.881573463473686,41.40063256484377,43.93390482191888,44.75695822384465,44.98404962038258,48.22387765040787,46.29533873471313,49.32653591440157,45.981786490582756,43.80867754748555,39.06053658917543,39.57154121296832,35.246428824447655,37.17986682820881,34.1649639908148,34.812046640841636,36.70002140388482,34.671494232812435,36.80853384944893,33.84376735431196,36.056320720172025,31.09073540856908,32.40223978657434,30.81072503127025,26.426817765632997,27.128652396528604,22.86849962310886,24.566025330515902,22.35189979465246,23.355241555896,25.35384783940799,25.42740981328062,29.466967115708943,29.577196228711475,34.93592588597042,33.391825789745454,30.55844339066029,27.62333768917359,24.558687451900138,22.14186052683182,19.565281906482763,20.208912001158232,18.178409931899978,21.527381332863698,23.369506110866162,28.393768683736702,26.199852054505946,30.370386145821723,31.78554269232544,33.52129231932885,29.701249017961057,26.75332806790202,23.519384607666993,23.294527745595314,22.99449601644583,26.62035825855817,28.56168152730762,33.38133489000742,33.7266949133494,31.25077749120815,34.39015956751026,33.25801211155618,30.018341354070216,29.15450097520992,27.9986711668951,25.546919516592975,25.898801749652794,26.040418521471334,29.77709269187906,29.17409483926191,31.21041062695106,31.951132064582605,30.49950964441803,30.26653183993296,31.74689287884729,30.18467224070351,30.064028840438503,33.92668464828807,31.894395642027362,36.32062144958016,35.54117575697628,32.58264957424302,33.52192438917738,34.35580259211146,30.92376119168116,28.405694719487293,28.965996704357906,28.44989397957374,32.64331349786701,34.26119355103811,35.86204296516015,36.68224754820972,36.243602238984494,40.76554118145639,40.29450411570482,40.404835187346855,38.32238633661742,34.23118453866077,37.661487638082136,39.64213386483295,37.41706340224684,41.45601814604207,41.65068831954914,45.142291127622734,42.82085835208868,42.96176100258955,42.379228908737076,39.90423517910995,37.7913892656765,34.97359562809268,34.416625222309456,33.31174390157694,28.47586945247409,28.779957754371722,25.110617523463915,25.288747202692168,26.483184924445116,26.48655465851578,22.956748492434578,21.437851235067935,24.438105711984605,21.86910899009713,16.414173113347413,20.035040254166137,23.87657430497513,18.187183316768127,17.084190253528938,20.66342872229054,20.180901686680365,15.668931342688252,17.717866164875016,16.05668227460177,21.834569693368667,19.153595068872423,20.86192789774537,24.544549877694237,28.718642662144692,32.159150084581356,33.69632558199862,34.978313658061126,34.42668289395672,37.42423137846187,36.113713879651755,39.156682119828695,36.90530131650568,31.47421443829616,34.655615768733604,36.65353161869438,32.043067031488235,30.879420956229914,34.56826140283782,32.92206634942422,28.523719922532464,29.406708077630082,26.28752643819498,30.707553418564583,33.29078501116649,32.525428518912506,35.47946142318264,37.96612578174328,36.32254066127961,32.05487049734463,33.42233206339243,35.06987114970774,30.590222707234037,28.539998683863733,31.294715050128428,30.169293972955934,26.329739607088545,29.76296031517901,30.930461314025504,27.30334959964732,26.472542590459852,29.941301452342476,28.018413291684844,31.02963242555381,30.556376622257233,33.12713271750776,30.781137536479036,25.665564964013225,29.077222408442175,29.240398896524535,25.71032672324907,24.781082077117855,29.895839999185277,27.357808380952243,22.40237938515351,25.48151698246128,29.08102928580154,26.226428198101928,22.269166876747285,17.658135289166992,20.392345208594502,15.928289271136409,17.194951667316342,12.248745087741954,14.106830257072989,11.607676720717796,8.356442289788431,10.500459296450122,12.596529276275234,14.555444183525578,17.73621596917989,16.69005298699205,20.9258397874871,18.9047234533356,18.42209183337732,22.727945003368593,24.73759392285287,27.136969976091283,22.382593683577646,22.39390505529639,26.697817641547257,26.358788141701552,22.222340799213445,25.714971686842162,28.798357542418763,29.678050010284853,29.99528487922389,29.46135512636651],[6.888861518808208,5.309559572926135,7.294303267284082,4.976503067770666,11.03594218772639,9.737093722572958,13.360122501484001,16.786482795727178,16.996670114726378,19.80351847107457,22.591760971636454,24.265832597751675,24.798960977216428,23.95783244986174,28.69747397585575,29.772605970604864,28.662772819854226,33.32412661718729,36.131079221548056,37.719579643243584,41.10743077952322,44.29372083589006,45.51344325919797,44.56933793482073,41.42667790510473,37.87516945607075,35.43595372393928,31.84083424148536,32.605543903568304,31.648717872706545,35.46652522234372,33.91799472084297,37.385050347259245,41.441148463327146,39.04008761523219,37.584055555875864,35.91125406469191,36.9503767551387,36.29914927972344,41.36937655498382,38.603599956695994,40.57534821836553,44.706324174601825,44.12258899763305,45.55149910077394,43.80783537443838,47.809987315596196,47.62174349723816,42.62538771797763,46.42648593455334,49.01006968216751,46.82551464977104,50.658629867128184,45.38106701238518,50.322423738554505,53.272188120694075,49.721750352661616,48.609341027503284,53.42555813114282,54.08284549011021,49.87342368268372,51.37057041231568,49.34028315936167,51.54494580190195,49.18731868405569,45.23352285535992,42.98484292629929,40.056484145004156,37.96723763763114,35.618063958864916,35.218407835770954,37.771769429517896,39.20376268034963,42.65384135431465,41.11585875670859,46.99106168257501,45.716427804750616,48.072430710626435,46.68478568756596,47.58479239671847,45.12670500195959,44.308281797906055,41.19674774805095,41.513507036129795,39.02594939304148,38.16987860044339,40.79258586893291,41.12001770865884,41.60424641565379,44.40652132744223,42.60104229105599,45.591388495180915,42.117034292822375,39.701555529859306,34.98549471516287,35.40870697200949,31.1472533846238,32.76625419337831,29.60812064967124,29.924431502444065,32.19673488172401,30.109347298224698,32.649358919950366,29.75711278305244,32.56844375999217,27.60912466131441,29.140498980654286,28.096177051303844,23.656964749439194,23.66858553756484,19.35437916669759,21.22165933649924,18.625913587827107,20.350293695766478,22.22475172622908,23.00691787623438,26.99302976468398,27.795671523714443,32.92835567994454,30.755075662176466,28.159256131641772,24.928080882577515,22.54835693016268,19.729737783311307,16.577443671588984,17.799021684938808,14.89769633249079,18.836535581162885,20.843978767144204,25.79215690090802,24.4889898458532,28.55514376800328,30.24751644157847,31.248813848939886,27.972545861358864,24.758704341281756,22.468034772457052,21.966839730133668,21.789284962347498,25.03436338842939,27.65090718455745,32.384332598519094,32.06345790004155,29.33208987052345,32.19136176049069,30.46346529504089,27.317810927823828,25.842406939968605,24.44445795470963,21.51353364206456,21.579139971292154,21.254996530240522,24.914796863788617,24.06819993065603,26.16602500119297,27.1135216832356,25.930532945244725,25.854065982561703,27.64414808759697,26.468344051201367,27.086603305931394,30.876867556806893,29.653651106582565,33.87438405581756,33.823494792368194,31.47869415146353,32.53805381613047,34.01545492704095,30.69427523540296,27.911524424933074,27.980419172118328,26.952156886035098,30.608960352642292,31.715949608666282,32.86585908257773,33.25665321011883,32.57118844582084,37.023876261180874,37.059144345919414,37.184850538172064,35.73507400055822,31.34209971866393,35.34057232955822,37.69566428441988,35.5342553356998,39.47401742810656,39.471642630995404,43.40030462984582,41.6116924865922,41.75519512815271,41.51924903989915,38.650033712006994,36.847791549478714,33.9928404796027,33.4153622955095,32.573372153041845,27.757154041950415,27.794859494889867,24.205059601368607,23.434517107404595,24.927880922235506,24.077750141734846,20.472407577071674,19.89411772639205,22.563320772680704,19.18833206042892,14.604601779861635,18.56023883427675,21.46929030552962,15.382969234164305,15.189814944344173,18.725856647967664,17.219537003708886,13.13319722325411,16.374862199858107,15.366521686207918,20.965617095416995,19.901231123335016,20.650833319276366,24.073502489054277,28.63373211481504,32.21611123655256,33.72432624755483,34.28248752488197,33.64381469061975,36.43480498431024,34.675294322840664,38.17825646576679,36.423467324721756,30.69098268340398,33.691953348207555,36.41902501492845,32.05206913480194,30.47814095668533,34.224179196278754,33.43557132106367,29.072774555016156,29.262726423695728,25.741767234742433,29.257961317329727,31.90181795544018,30.77987314778655,33.24525811643797,35.49133080487663,33.451475550689736,29.539389102816607,30.876737436566735,31.94557530922115,27.32263526383263,25.726353272981587,28.16621038747576,26.659571292385106,23.14442118428402,27.045180446793992,27.82138020533806,23.953086198803017,23.91143092804659,27.667710423918855,26.117144708233774,29.131985411301706,28.49797272509048,31.61088551256396,29.570513830572207,24.249079179603317,27.89849361399473,28.730604572728897,25.284661512990827,24.30052814057399,29.912299752792133,28.006829375315082,22.942588483911454,25.927076271398022,30.043127752777995,27.742098430200308,23.78720965428302,19.11049608968521,22.847842731439687,18.762984375603427,19.15230939709823,13.840080617104215,14.09240289268686,10.203776382463975,9.219947307638412,11.203802094147681,14.42996050452792,15.557007884186005,17.670537738010076,15.457201455462668,19.297751555228654,16.654631012440174,15.28143013126417,19.134439132838512,21.25466784922008,23.091175596434237,18.050826943481695,18.491502158575628,22.60201050472619,21.67653817007868,17.813642582463718,21.69015231681925,24.446559556016773,25.212725390515274,25.52548513485876,24.995519164308625],[6.0842551183559435,4.817021882483926,6.489309473356372,5.823346013245759,10.202683672888064,7.015841983029059,11.029497767471305,13.741786202719142,14.27988128928524,17.720295521462333,20.334206047485427,21.44909887373569,22.515355869240842,22.19699720803903,26.602376280600026,27.5356619079379,26.946668017375117,31.712898377778462,35.00763296408187,36.3655542115067,40.00694720101048,43.14779927685193,44.63771761378736,44.00370819739665,40.657275440757,37.11370934936617,34.413103650297366,30.640739084474706,30.915672736060696,29.489240066965724,33.27499053347322,31.31051188267598,34.62037311949123,38.86719883597428,36.58956087122199,35.49498377423053,33.5681201009267,35.17746904788935,34.795916205382,39.792207789568955,37.515386024758605,39.36923055849798,43.41753399379873,43.155298637898625,44.916575606542686,43.43514034829442,47.451077444256626,46.8643548491745,41.89981775602787,45.880823263014925,48.12163842021182,45.715896115105615,49.319612504915774,43.949812937215526,48.57809037302585,51.750258566080156,48.343158285622685,46.86124084236378,51.65860155734812,52.68784891378602,48.46138075000078,49.7240306179983,47.51042776598084,50.05648741262482,47.84003120496541,43.69656896944297,41.70197389503459,38.49092905490059,36.75084986684104,34.13235783444895,34.07053027006561,36.724882465821175,37.74803900965523,41.28044059046138,39.34122525681491,45.098546540849775,43.830166551471734,45.8825624381858,44.54560622617742,45.59641631457663,42.89550577843648,42.27451750596588,38.835637569958465,39.405339145263845,37.23334966537612,36.1345567243455,38.90033501292517,38.78293167217393,39.596485516678825,42.015691560578205,40.402323968869204,43.399291675782834,39.84053405924181,37.1961633825646,32.54726129597498,32.943430867470155,28.78695475305366,29.960028900295644,26.633929249461804,26.499140794972412,29.122456093196718,26.825211935270225,29.771040791119674,26.819218624085515,30.07240835118381,25.13953515328728,26.711868624719944,26.142985776121158,21.725474045650056,21.18011986250571,16.977259404268437,19.13555725308201,16.40513351798211,18.850321723936553,20.734845914188064,22.14971870570819,26.030215787985536,27.411413864049926,32.33108876645344,29.668679710675235,27.371094209387692,23.94397375134828,22.196606606090704,19.07179053969401,15.472281420937328,16.952902270782452,13.156862760998694,17.41987654914733,19.362015901612253,24.110456584740156,23.511938048080168,27.335729649108835,29.31504922456301,29.723608892883103,27.035026273318657,23.771554440658235,22.242238804254935,21.72819305290829,21.803493947979298,24.659071396988423,27.85907406199648,32.410226196759695,31.5965393244301,28.65756066095417,31.199188563318714,29.01726828871925,26.001567764086317,23.973940328873223,22.268466644419956,18.977944930653013,18.57450220652041,17.881870217773688,21.289577808493252,20.261378344521027,22.548781177267397,23.65304402083849,22.81667961457802,22.749711213397294,24.93376863877856,23.972662694290836,25.313899699203144,29.084008795440838,28.581024336193842,32.52273389602404,33.01327295366369,31.22520883329164,32.239105626010094,34.19845982793725,30.95412219472727,28.109121672946095,27.744177811757467,26.419252334891986,29.53240678830789,30.188111495288577,30.969483329121967,30.943179932919325,30.160328149074413,34.428450641018,34.91533588590311,34.97374167189744,34.085715467648164,29.413788088897338,33.79077695845619,36.4238433402831,34.405391772915735,38.30687574548623,38.23982431554923,42.440419169339016,41.145685005676924,41.18897854416777,41.17142992694846,38.010356233697436,36.395737862658024,33.50267227618549,32.844120464401215,32.13962187357427,27.444879551577255,27.180621182640866,23.682982654674337,22.177504089248664,23.756460093955745,22.22528294295312,18.715633734723582,18.869515208164174,21.1115833858329,17.174839590181996,13.610463334573696,17.553183447998816,19.55619576062321,13.383847447675107,14.011368283723616,17.31257675574489,15.003528381290355,11.596610330851085,15.638914873688282,15.19174631661842,20.341947558593866,20.532912322939737,20.5275675225555,23.624024654362792,28.363164547261,31.985327922535433,33.44481017889414,33.44521099845459,32.76835251781189,35.37821929635698,33.3284594497404,37.1546530792904,35.773284226275834,29.924506175423502,32.776195950021965,36.01744594244312,31.896268580053654,30.08438152838598,33.850109999180006,33.69306231538456,29.436014611209565,29.206863759263303,25.378292268897955,28.151280674798908,30.7463896573417,29.29740206822276,31.360989914576415,33.34730051245895,31.064002731768703,27.487455939978492,28.70548553740111,29.315320442941665,24.660771895218787,23.413617535580457,25.536575285072043,23.746941088731646,20.546224420780952,24.743547477117033,25.20053874645572,21.212201684341665,21.807508902146683,25.714760474565278,24.484632006910427,27.441355554544327,26.710788002507968,30.195948705581497,28.41044226157174,23.064495325016463,26.8356219615935,28.148833231593613,24.8470987371157,23.89658087832942,29.73960098103754,28.324756762511793,23.342324863366887,26.221171170121707,30.59243290359579,28.727802431073886,24.88758178389905,20.324031132024377,24.61344870213326,20.916238646922324,20.679927979342644,15.430415535494285,14.538935667530867,10.021938531277396,10.895229701449631,12.535405411849082,16.21737248381197,16.78540468003323,17.94352901547825,15.096810580866926,18.412558187189283,15.51616088564533,13.170929367930016,16.47089729429445,18.553640575220868,19.93124643902718,14.701438351001004,15.41450938746053,19.304467480259348,17.971636358857193,14.312889414080852,18.44495743694592,20.919385119712587,21.63938633300299,21.951729612944952,21.454072223258013],[6.145036105990575,7.121079027699718,10.323270405879335,9.33055482291679,14.009769628308272,9.778991482567314,13.315325619465234,15.535046111718238,15.01770118585496,18.62341086518727,20.670057421723296,21.81389079028146,23.641446201137498,22.82242402496433,27.082804979052803,28.43451024804688,28.207259550947796,32.86853786766085,36.24419805744566,37.95572413566315,41.54437025842004,44.966617076065205,46.34564414113471,45.83752718359954,42.636305595606885,38.86489124529249,36.384984911937934,32.45917361187781,32.51249200240004,31.02269875737871,34.07002818169761,32.43878840402271,35.40623474963085,39.75118346426046,37.861338485108796,36.91506838919775,35.29447289951246,37.1629650271156,37.08099997562467,42.357150076199936,40.02535394219378,41.48645719189939,45.636330099268484,45.570832035204404,47.29684190802355,46.00139039694774,50.06276221820317,49.450465232297006,44.67274775228785,48.86446418304082,51.07372687814103,48.53589913389868,51.999161217237614,46.57150536173599,51.123842285000904,54.18437698818355,50.67937774528445,49.01778291365889,53.77667388964429,54.87747382699533,50.41555174116662,51.356601439968934,48.92955267609748,51.39771235516658,49.44587171449693,45.295735996595,42.91464382025346,39.58298174727691,37.565299384776175,34.6493716016289,34.495806736769005,36.81013272474126,38.00130352395755,41.86159294152779,40.043551171914906,45.78335881951967,44.99117111618145,46.94424820152512,45.96185984648185,47.35167947151723,44.7906724232457,44.558896290314145,41.13067799509831,42.03892707451354,39.92524484376054,38.4528751732806,40.94768600406081,40.60509163232941,41.14022359085687,43.20185960470131,41.32835530783263,43.958556499763056,40.256109178190954,37.56885498234815,32.95146888846993,32.87633336452009,28.752152702277822,30.399689288679504,27.203501976177915,27.047542658515844,30.307817542055513,28.47181167457417,31.711290669364022,29.210475966089213,32.99285408382532,28.197227099135166,29.979135366547347,29.714221443030247,25.362185840498014,24.43515273635706,20.299101051626476,22.21106208963908,18.97601509702959,21.466313914317105,22.593926915272235,24.146747716222848,27.76033792390541,29.237398248369264,33.73236714378395,30.87849266853606,28.428667909437706,25.016937864160393,23.636334744388858,20.802878006370147,17.419434947222392,19.784578244423173,16.44750974096046,20.848517464911573,23.01041288178956,27.646044053099153,27.36889742310165,31.18388270702163,33.12073058851528,33.321541554248604,30.678636340682583,27.223266755547275,25.959286045193004,25.021616548735125,24.674301829155485,27.404009286101598,30.235879624989266,34.82098756197422,33.81779195087938,31.047250903356275,33.63326933512063,31.193751832369454,28.281596670936207,26.152429817604407,24.703423093075415,21.02372271041356,20.819372653769143,19.208883743735274,22.665729052313768,20.871638866526073,22.919975435305464,24.70682221184836,24.101046385541444,24.662058268883317,26.80787949306559,26.601005944680402,28.17047167513071,31.559610865240746,31.32541277047581,35.28904328608348,36.13477951078202,34.353217676294435,35.68573876988095,37.639114434698875,34.540889084782,31.517415012759606,31.262303428762927,29.69126421360187,32.757421021846845,33.27709092878541,33.79394232623646,33.637383215098986,32.4164387070527,36.79464371285739,37.56357664408242,37.81542798242473,37.19813441361854,32.61231958524305,37.23852904596905,39.95977253971324,37.854336315484865,41.51444686674499,41.14791007937514,45.551712994019184,44.20707613693761,44.51864756210913,44.664439834162195,41.50742601173807,40.08373121919398,37.277305332422245,36.71691973427035,36.108968562911485,31.416937091942945,31.175978382689987,27.684377597079795,26.07379710725085,27.556300399418372,25.81325068344095,22.445065490312384,22.647325981864814,24.576143065179934,20.495465997580595,17.253895464723264,20.82268857910844,22.34180706497456,16.134808700960658,16.63024835696183,19.478988323189178,16.77619185584004,13.266432760079871,17.13797247107555,17.319852233547035,22.172676459584583,23.032492664417386,23.339137953987624,26.157405460065668,31.164606887963956,34.39824666896824,36.228101176776335,36.389230207858034,36.00073457608936,38.71207523340626,36.79468285874494,40.73567251927469,39.29039964693801,33.55823751839767,36.51608176693265,39.787040516447945,35.65323856941443,33.95842380804025,37.783148351858785,37.55516120041742,33.2862793624514,33.2121580939309,29.317980748379505,32.04282699008632,34.56880663091381,32.90321435436661,34.85479988737942,36.56337818519178,34.286999794138815,30.927508608886995,31.807521199917442,32.16869751032204,27.644109554206615,26.42134612860308,28.04769752565895,25.99369751759341,23.025648981688633,27.076506324211277,27.06788480058706,22.729555552158658,23.72659638648245,27.655062320206756,26.828517583767542,30.069259806824995,29.69254927749197,33.285319930109196,31.21267390748446,26.118819085934522,30.186261435217794,31.34165215378027,27.975938111981172,27.44479550192259,33.207408439158854,31.548590228002112,26.740572652071954,29.90460946681659,34.07716626768642,31.973980825973488,28.19437004708079,23.554452589148525,27.506997455299242,23.556908610749865,23.122998850038176,18.04747752095629,17.6359686639708,13.049517220805598,13.683702163249468,15.894418212532921,19.47880615086247,20.447331784891446,21.749151954374526,19.10860966044767,22.39835407548439,19.395657122407883,16.824533819929492,19.75407577005777,21.675543030521723,22.598389312632925,17.24966954274643,17.923126335076827,21.474272533023978,19.646410172667267,15.814717620028887,20.02387463531593,21.973928322710144,22.285705645718004,22.63151619445357,22.091270575635654],[6.409182410652506,8.361503500489126,11.551628004050054,12.79770090889435,15.987823204876655,11.131391133066497,14.743272755149722,15.422695897290813,15.790641069842499,20.215561497120145,21.859222512725246,21.85119044143222,24.58747866295313,24.70713797577567,28.2740767847137,29.306519483880276,29.87099828015682,34.586848609274846,38.56408285519551,39.83500762251262,43.733149320052945,46.95458647645493,48.71583944292694,48.552000590309326,45.0809661065344,41.457754168781484,38.60315680729419,34.58050474030777,34.01070576249666,31.81866833681317,34.88078783703118,32.46152929287465,35.08669278737264,39.72490564058466,38.03429620428496,37.721839104494556,35.58213102422451,38.28399883170457,38.47572338838989,43.37406145726256,41.827034556941996,43.31254104293061,47.23871749412663,47.5120396506414,49.662460230727525,48.583355971523076,52.59346530075792,51.51971891354273,46.7115330885778,50.91239191180842,52.68452602428873,49.976704973984525,53.17264490241865,47.713159101994094,51.756893669793236,55.221935370607184,52.03137095081897,49.90907568936547,54.60569543944312,56.241466826448324,51.909324344788004,52.60756707269239,49.983923629386545,52.97460324733908,51.1751826780646,46.79636891641435,44.91885821100483,41.252837978328024,39.81346592608916,36.59848687417005,36.92750549424712,39.343891829776666,39.94441407748915,43.84978446964032,41.44310237431526,46.91402303523556,46.06588299395258,47.498687724684004,46.53097290369836,48.045309101304014,45.03162886287539,44.95451006037911,40.96342089680721,42.08895875028805,40.54291870478997,38.93833519033693,41.77507935051096,40.75482992587671,41.97044921711833,43.41542117801839,41.971916654499566,44.613995106978905,40.82356927293866,37.75452825134344,33.36249834856935,33.210803159358036,29.397400398461752,30.131432428450243,26.657426245080508,25.30978747289146,29.346606537096633,26.8283206452295,30.87708955697509,27.97032794797532,32.13753104734939,27.41484036007846,28.71492001914978,29.02925343433314,24.772634827894795,23.42078570879586,19.8742228827003,22.62443071487989,19.808887157656706,23.199135105050047,24.628498660602613,26.85642553330527,30.332037258622968,32.39715339561281,36.70619735462907,33.35808070207824,31.3655805231169,27.811498277887985,27.089917045168153,23.94960093801167,20.181473048244523,22.264018284530767,17.718479570855173,22.049387230757812,23.62017082784915,27.840819781459636,28.06519159434368,31.282807136416885,33.826065324351056,33.459806570431404,31.784340883564397,28.65665688003912,27.92150186466865,27.53407796314813,27.778571865896478,30.15505642457382,33.7072541035176,38.04048478019348,36.63666215998056,33.59904673065686,35.72083269025531,32.85869143229032,30.160284655158193,27.35184054298299,25.31965241968261,21.395841659707738,20.043910250386713,17.951216836524388,20.212320011796923,17.655686477867995,20.6631824558519,22.8969227854546,23.26327952532762,23.56867815024318,26.576283147797938,26.35755103816338,29.017640417680266,32.5304763580546,33.171159491260134,36.64186676593846,37.911399619462536,36.80018642873547,37.7295625837076,40.13655752699082,36.95264927560644,34.15599653434129,33.36862809054914,31.79551542757276,34.158973270966655,34.13567385785076,34.26849764192496,33.436843537982064,32.389838394256415,36.174781766897915,37.635212544232125,37.564261469266505,37.729721975690616,32.66020463560086,37.49635471523867,40.496160381989384,38.79508613123471,42.623101704337905,42.45131173789868,46.988452235742365,46.33624484565524,46.26090328855676,46.469080559913195,42.99163525052938,41.53505911455067,38.56665835612719,37.678045732819065,36.91333796737634,32.47755461310358,31.571414675531322,28.00859632273537,25.750131226504163,26.65011102849017,24.219673001612684,21.474195311450043,21.96289295556994,22.869109400953246,18.474956604182715,16.73139162531042,19.406358841366334,19.480475481910045,13.685298712956639,14.742281085583603,16.670264544698156,13.08970366700147,10.710605294138494,14.893112958257916,16.112186641876182,19.839299748473362,22.61210704098108,22.214091943360675,24.27946717779793,29.521178284836708,32.41221284222514,34.42372065651008,34.13212670018563,34.03785221827522,36.66823999324651,34.78788119153951,39.088160746069086,37.872709782241536,32.356597349380756,35.36027491553089,39.068038383788526,35.238100739829456,33.62520211124198,37.603945575695455,37.857415886348846,33.78725247950769,33.84333045772686,29.35658751498966,31.46747759272165,33.59471296825521,31.21326917507593,32.799498074977606,33.8195419247497,31.69663747301231,28.83150781810979,28.92751365544956,28.857498528810403,24.710711093530346,23.493363236880597,24.282106254286607,21.92125998763832,19.391291127125026,23.267657162866634,22.654363760629884,18.09546554561396,19.81244306765028,23.74070810807069,23.54361701759043,26.88948240136804,26.853583583715015,30.747157619505227,28.632414627148925,23.969785547822802,28.368723657419682,29.741937412475263,26.576213154300845,26.63908740121628,32.33981665937882,31.01059139473964,26.682111000992407,30.035032264826533,34.10394910097032,32.340886443529925,28.913818904141717,24.524120770763865,28.80503223440308,25.36749486562497,23.86706731853,19.290635501289323,17.876379664213342,13.159098905710268,15.569673670646258,17.691274422254622,21.559559019544558,22.34573068452618,22.478042177233917,20.0765625210266,22.786367071595233,20.274873995199002,16.001302831618773,18.16488735367915,19.30657373946219,19.879357764205352,14.67596489979182,14.608030742750131,17.608919762182875,15.950788139981977,11.506368798891627,15.450367280133287,17.010776371444848,17.160760031239448,17.688068863111543,17.460789111185502],[8.40070511686726,11.537522273538327,15.625586626090858,16.838077651252707,20.632232405147235,15.858105177677857,19.346114102007895,19.78855921414054,19.680383065953038,24.114346451773287,25.31974543524083,25.179550439419423,28.491990672598593,28.35260767692676,31.700153495741006,32.97948864233232,33.841325377781494,38.453789659922585,42.483498335012385,43.95210061286977,47.815863699607306,51.1856101114602,52.890746233166546,52.79850656384681,49.414423280842584,45.67600385022192,42.94677412695221,38.854964740524075,38.139169850294316,35.861424982891926,38.400615064247326,36.12135509865356,38.39606469691922,43.11765978787081,41.76035664104267,41.64645279075529,39.637913939630906,42.57636493673115,42.943262721974435,47.91651546868486,46.40489892690326,47.707170084073226,51.66345009021732,52.04720554421747,54.18772263664668,53.17631322838224,57.20902345352585,56.12905425845037,51.388086414945015,55.64953917808694,57.41092106553493,54.640077507398836,57.757764880405496,52.28357066956958,56.23126838846318,59.683893677220716,56.485198766467654,54.2297748528541,58.87912127189944,60.61397273036663,56.17374344922511,56.65163968359031,53.873869092464766,56.8577645765033,55.25229822302204,50.86543919340225,48.78073282907895,45.028228430412746,43.43825195245135,40.012706299528354,40.29430212824056,42.42347715225277,43.12074093555776,47.26035681152454,44.90950405895102,50.293742296449224,49.7979715814034,51.073152985966466,50.36303412025102,52.10685856048907,49.11569289901743,49.28158754522679,45.20873284366474,46.526250719873275,45.09860007078267,43.31873676830001,46.05189567112474,44.808018474129916,45.950905634782906,47.04593304113042,45.49827119181613,47.836459553363774,43.94706928916659,40.80527384839581,36.538987780258026,35.97789431203752,32.31692795653783,33.25688558284788,29.89655147037286,28.249393828417972,32.88274930339106,30.522753081981378,34.883303708888214,32.12808464705371,36.530136319608665,31.894162455630557,33.049980984093324,33.51215004437857,29.2822797526134,27.89223357106004,24.518447363015294,27.342537915490883,24.448944037579608,27.847813776097873,28.973909682798986,31.226796516717876,34.57380806704434,36.64147025751818,40.72664677634247,37.29241241776973,35.212826800762194,31.70194764490863,31.136068514093495,28.179343820901703,24.5518665141987,26.92153120315374,22.50015846650333,26.846692159742638,28.371498088610807,32.54227402718144,32.727142988215796,35.842972621322346,38.510537963482605,38.12758511744456,36.55338310314628,33.45303354625532,32.6298506536386,32.24796226533095,32.361845095748336,34.77610814973213,38.12482033367111,42.51587718316244,41.08180515401864,38.12897362702788,40.27903230242152,37.30553885541553,34.666763573070824,31.80551436070598,29.851746516077846,25.78611451759604,24.38157534700147,21.80657381993604,23.663601243184026,20.339516026232968,23.444220998675434,26.261860739953097,27.020643072148292,27.617051940205197,30.72565534454636,30.839736130353387,33.69563824115034,37.066756936863236,37.84417958507535,41.30412900336017,42.67102104833397,41.53224556777537,42.506478888428155,44.85539096612724,41.636893220200285,38.84880447754205,38.12852048628235,36.56568810233466,38.93880666299939,38.85755105817173,38.874201939653965,37.89452411938711,36.702318205893214,40.38949715156407,42.101644510125524,42.03990607133737,42.412389415127954,37.302681525806754,42.185451432875965,45.22094996923093,43.56605138890192,47.380425462265826,47.14844084200874,51.744747682765954,51.08586008567827,51.053763271118086,51.25770531375405,47.76611986941504,46.28726329477645,43.287447457067366,42.33025540322668,41.432773006269876,37.00759860379386,35.953424215787834,32.24143095662725,30.067949876676266,30.530714111597774,28.09768555312984,25.6676701317937,25.787514594517003,26.26164606031504,22.058317952678742,20.44197742782762,22.458716483062688,22.117965163198516,16.710748156687174,17.245382159636215,18.43010090663306,14.931544860757205,12.61785831280324,15.849243574767428,17.77495541130123,20.78832592256534,24.36485347583932,24.367990523728338,25.953919446110277,31.395276754311187,33.64337485453993,36.15117035087706,36.18696255212418,36.579992497862555,39.39732096599031,37.91177053544045,42.25978676137546,40.821293510797176,35.6352089367211,38.88401612995163,42.47868233606816,38.624278150732735,37.33720335399796,41.4627478258076,41.47060287020188,37.413776893581094,37.977354704568874,33.2847030388517,35.5938353256932,37.486567673569866,34.76463838135714,36.3863223549946,36.9811537566362,35.18500909627222,32.49663782531084,31.94916702697092,31.83536199526812,28.093480484906053,26.584268595530737,26.745557463276803,24.305976848863192,21.985378834653062,25.235184012410578,24.136672998650848,19.395087138851125,21.215907692080382,24.904655160284427,25.200546535164076,28.879369851599424,29.46295145399917,33.27653065542443,30.667074583041536,26.556885035371174,31.27873805441216,32.248981634908624,29.049051933613605,29.79019223818742,35.210958326958675,33.49770574205182,29.55963141205064,33.338016266320224,36.995376908130915,34.9235369002388,31.69489406402371,27.32576143720111,31.151937042908262,27.60668754783496,25.677435069803398,21.573679845184873,20.663620562552346,16.215953137538225,18.3377271322685,20.958847264030506,24.68706956680629,25.97005693458349,26.164666832752552,24.357706672931393,27.198275249404862,24.944281857617746,20.371095586859,22.462074605956303,23.171608013352085,23.66166630725431,18.713688825033348,18.02362876668555,20.609137870859186,19.170567445518124,14.330373478632074,17.579134269538596,18.675757711444128,18.412403728850443,19.082044130477687,18.978868593273077],[11.025142354435177,13.720299052160353,17.358592840208367,17.49573113736277,21.19069991545691,15.560441548238279,18.383688317011035,18.69035205066495,17.520295622262786,21.733386803843466,22.476424654770994,22.546295996632974,26.191237572800613,25.568655787242854,28.764515481701135,30.388498982989276,31.428985910415562,35.86238840458613,39.87070515796393,41.647025330617694,45.40567570567232,49.01584291327821,50.58963329290123,50.62605746326371,47.40220325458114,43.48181212224289,40.99635111044188,36.81247815820639,35.95473115574271,33.768371131415094,35.63987732495133,33.85045084919286,35.90339885225569,40.56479703613138,39.495402897701084,39.365569973073235,37.78288239631937,40.751320227919216,41.37556945846183,46.67646910131435,45.00384720924534,45.87184850013964,49.927519817277485,50.49302475979338,52.570791716140576,51.79017878595332,55.858167736225205,54.74559381490748,50.25583689784353,54.783319802037326,56.51717924763933,53.60634948379651,56.57637511754289,51.060450023876065,55.00554227995932,58.22376711390481,54.878240376922165,52.525892874964036,57.119376396804434,58.822155404577074,54.14853556134432,54.35039283785047,51.42983884357254,54.24958614618639,52.87454947724228,48.53770329740233,46.087618218682394,42.29992079455305,40.47536483371869,36.88297129952545,37.084995550599366,38.95458748591035,39.76096159594517,44.08812546214859,41.90325406781073,47.26793920753023,47.15985637233282,48.44619145054049,48.04210287434224,50.05554072710156,47.339333638148915,47.86388532615258,44.01326592195705,45.635466915587784,44.12073275725527,41.96636210407651,44.309612179463755,43.02609005076211,43.72862325946355,44.64239298286156,42.78954941429803,44.81934849686028,40.876212818231586,37.822010982720954,33.58308877877477,32.70514028332711,29.067801409841003,30.551932118218904,27.445682729976227,26.275029324341403,31.04337643675837,29.47490230431617,33.68608856300801,31.657350875479793,36.46933833331073,32.05085527291229,33.81618254180717,34.46649526825358,30.37023717298352,28.55461339116045,25.024708156807982,27.1114626745206,23.620389486821082,26.8223392194848,27.175938367497125,29.495608318604482,32.52142603923556,34.68315055535984,38.30448778524806,34.73974513446077,32.59911616075901,29.172833078735515,28.99842496609934,26.328991116055512,22.983040839543087,26.111286199475824,22.41325531682192,26.87554847347049,28.88869254757412,32.97867802664353,33.64324919082106,36.981728275597256,39.28508576913624,38.662135817050725,36.89054486697886,33.41673901823615,33.05634272902336,31.961321466426828,31.583840641602936,33.76214574530927,36.77040386764615,41.09984178004672,39.41614384872601,36.660901069979,38.833928251926906,35.66293897840699,33.14996079689084,30.323543648183538,28.787561063731623,24.508645975433527,23.732266958502414,20.551013599239276,22.98020019665041,19.54003593162077,21.700791480542474,24.824622192856303,25.362991355655858,26.653021318527227,29.31838722213823,30.232198849544925,32.97443520880484,35.842785780793676,36.78760687421056,40.29470974346073,42.0646518343872,40.940255422476646,42.40543124345162,44.80657156502812,41.88268050659079,38.76719135503991,38.16470452042352,36.19774377493187,38.536143926619864,38.37060015689962,38.148798782792284,37.242929255885564,35.51185755155166,39.492197625577134,41.25596213034929,41.55041401834353,42.01581673009091,37.22586987449462,42.384944932950205,45.47046328790128,43.56578245276217,46.954270220186686,46.28019442655386,51.10907203668438,50.34368911271232,50.729107851526024,51.22032301468684,47.75870341852258,46.66319092756902,43.876476858001055,43.227332085600274,42.71834711343284,38.242979074985186,37.5677422441232,34.12865064003934,31.790922814567907,32.89592432477307,30.308061617890708,27.553940601393474,28.25559401507474,29.11142728075707,24.650511512515084,23.00619129343304,25.63593612103881,25.426626287720744,19.83204042205242,20.74692886928963,22.302468642220425,18.597217914503382,16.340734576436468,19.967102220358335,21.57412733423666,24.980247149759432,28.083563421718654,28.063417685641454,29.925719001544653,35.297831078373235,37.79658272925008,40.13174381899855,39.9830148344597,40.102704097317314,42.75897959014207,40.91561462652065,45.28726690787402,44.08929324398365,38.63874996412433,41.63064067455722,45.374393005982334,41.53568653934783,39.92610627350046,43.87475681780171,44.10411862075093,39.99137711008618,39.96891299565257,35.60699096715653,37.59622230821807,39.784331192635314,37.36700456801341,38.74708927096783,39.56874255090572,37.302798485649234,34.743698030455256,34.71020151052158,34.2577266472895,30.258898268485275,29.317035464272358,29.621840619681805,27.00034392615454,24.947891038740472,28.624568011725447,27.467391607149526,22.759706056184445,24.983564357347777,28.772451469727002,29.034165101531563,32.52334498029407,32.73943495817568,36.70045353047946,34.432043822819814,30.035123978748842,34.54527009656402,35.822078035982685,32.63401329963912,32.90116617250002,38.541854550066255,37.013509639263226,32.75630440526936,36.2364156463838,40.20472046338428,38.21298265387744,34.76644622902571,30.2692801196795,34.20176052401983,30.440814030326074,29.047906999324404,24.545117050333698,23.73538473592347,19.060578616438804,20.775642085543492,23.247569918550877,26.99568316062924,28.043863906491648,28.582415583174456,26.05106763213961,28.781279692129342,25.872942750692488,22.03643856605068,23.794535759133584,25.03408734160621,24.912899273387307,19.840458228259163,20.22461919988517,22.59974868333804,20.060724202521733,16.3738386769565,20.14711868487996,20.6897817169949,20.17571814539357,20.6257464185979,20.23163494214066],[9.767921493169878,11.922830313016746,15.312365960810524,14.641969197698383,18.640881372464335,13.150269147202492,15.949830723795493,16.98023237409898,15.526302071898645,19.43226350137826,20.521939755265077,21.20336191614239,24.24567987016362,23.261896779313478,26.90149347047984,28.60023790410774,29.1698022980273,33.64199118178405,37.370925102704554,39.28743191057229,42.92728266526874,46.58455177362157,48.006255200911134,47.85733891579788,44.71931089827548,40.76298922712551,38.399365309880864,34.26802624294909,33.743248261475166,31.900250936193373,33.975769157469344,32.48964246852673,34.856936506451845,39.36927875260254,38.06761020304385,37.56565633172328,36.16229386609796,38.67117437931492,39.1080961704429,44.56024950155957,42.518953819282416,43.446022321105524,47.60099037036837,47.97059704035631,49.86248692753924,48.95569726947908,53.04309298596038,52.14176824776803,47.633566452809404,52.13385724747899,54.07171551841115,51.25949660878913,54.386898917395975,48.88503840887604,53.10382891624354,56.1506358153998,52.6629594162513,50.570537724205536,55.21853821236685,56.64046769565254,51.94402097405236,52.34584486725104,49.570662143675186,52.15676757489758,50.632441416478855,46.39367699313614,43.77928793427847,40.16718817571568,38.11795615963913,34.724822188747666,34.71519277830645,36.651561894554014,37.711938124138904,41.951312411765784,40.014873243394405,45.561339759094174,45.34060743387059,46.936416745615254,46.41970246832437,48.287630320731196,45.76008380525989,46.11634500422049,42.537855883313526,43.98658157280404,42.17096601488889,40.14154444939589,42.37985962530882,41.48931408035629,41.913465437520536,43.25476774763358,41.23743661501856,43.39075237219101,39.512032893448314,36.65385448068474,32.231354242963974,31.54893327489173,27.66706893524444,29.522340482979246,26.474773125796574,25.974338869796448,30.166387978353203,28.817377275259762,32.567103109462046,30.63236053355187,35.19228931651382,30.688161938558753,32.69901008089637,33.04259519655558,28.882986936748733,27.265264897812894,23.415843491910554,25.138393625524067,21.46987244800964,24.298680384916786,24.60008445096852,26.630194988457273,29.765596308475263,31.674161502237308,35.46069935020097,32.13491131722518,29.799621293538912,26.401649291691825,25.89331419628547,23.298027430521152,20.06877315689649,23.279211644852776,20.057289436467126,24.552167753897987,26.82861556410891,31.114632003914803,31.57420245077597,35.194161475479824,37.20717821102946,36.83921155425882,34.62137084903871,30.998024197622435,30.44802719820963,29.114129266869835,28.517112007319337,30.826994973446826,33.58468221828028,38.008561372853826,36.50908327674313,33.840295209320054,36.21518047534157,33.262108707473935,30.62497484314339,28.106538749694817,26.795899714673393,22.64327717115504,22.384294550715378,19.573162440833812,22.721092282488396,19.917563620395168,21.66289144957822,24.352894495161653,24.292775657730697,25.58528052993881,27.84943120835016,28.641420013099008,30.84812691784536,33.72223751793307,34.233715410091996,37.96960670930424,39.51826111772618,38.108555678556996,39.73290821362047,41.953311717691456,39.078999560673644,35.86932263646506,35.47290210144777,33.50267424542036,36.14210462922911,36.234411455178844,36.22605772587643,35.670075508382475,33.91922038182904,38.211752554808776,39.57433748161302,40.001222647405896,40.04260251234895,35.463709229857585,40.51627669875941,43.46850577048682,41.37457435294005,44.70537920499654,43.973267350901054,48.71970930816709,47.6488310713975,48.1854482767728,48.64436684631207,45.327154755900224,44.24676229264416,41.53701229814088,41.0459903147736,40.638969854709686,36.05520595200678,35.70022100726635,32.33268430118611,30.239242532966504,31.70608936505605,29.406635606696877,26.294433192112535,26.97760256050734,28.375811917407027,23.969449068216818,21.6812720859175,24.85231932549234,25.36363697687557,19.416544400596038,20.258236924455538,22.41851477551779,19.005808897061485,16.201117330632915,20.04860356326945,21.063469918723275,25.169244208702988,27.28073907058034,27.426252302317092,29.748276217235574,34.99054039697733,37.840556805929936,39.95630663076736,39.91018315253778,39.7586121351884,42.406912704683506,40.43304022613156,44.641399986210416,43.4002387058195,37.750653122165055,40.66256517212794,44.2526511517884,40.286460566685115,38.54973477029785,42.39547905222219,42.48919066593333,38.29072490262702,38.07103043405974,34.012940639410935,36.20963395148214,38.636087454190104,36.61830836010776,38.163864328784015,39.421474794918076,36.99988215783076,34.14479071751369,34.63740491766784,34.41564661735219,30.103174380420082,29.209943450753048,30.090553365618465,27.62797230907105,25.256929795691242,29.227366612880036,28.508918581268,23.899590365579602,25.746859823755493,29.65409067262042,29.473075285372367,32.8493980874064,32.73787962699187,36.60465503606347,34.48254551725648,29.712248554108037,34.01282607865424,35.313713382327734,32.038332288821465,31.868213447082635,37.62487361951171,36.06801093907336,31.496707585202763,34.780899584616,38.91162964828253,36.86887134430611,33.22317574999958,28.62414941883814,32.55425743588886,28.626818453978306,27.773594806302572,22.945577194522553,22.37493575120086,17.664908850091194,18.815774936381032,21.176176956772853,24.83820676828156,25.811696626147018,26.785555927552725,23.996548502690366,26.910277660475366,23.73012518447173,20.646550224610984,22.755585032919782,24.45109407588504,24.548495699338027,19.2691069619,20.112980987494634,22.93023313495616,20.303873018437738,16.84530663581014,21.00862180809537,21.99140348957458,21.751851630447813,22.104915184724742,21.55265081379907],[12.343866627164546,14.809337734951614,18.552468912375364,17.423635616890447,21.882147606938855,16.5470912437972,19.083516592018047,20.22043746652994,18.13884904240687,21.654539909825704,22.386044673534776,23.33623576400597,26.541608619774838,25.005415656760135,28.5689193932818,30.605754634277947,31.200137818076094,35.47176582241418,39.01282550480345,41.27171498067034,44.73514239374735,48.602071292601565,49.82179439073453,49.65925998846993,46.731614685642896,42.628765332411646,40.55411851721564,36.418563066857374,35.93381085998734,34.27234723174486,35.775930061548934,34.76630952616988,36.91192507424114,41.34103830090792,40.298284522160856,39.74920685207841,38.70538059089621,41.130301037343465,41.67362269092658,47.33535044045031,45.06899006255572,45.739594654605916,49.982306236752976,50.37794032704304,52.11055704033709,51.25883924360403,55.36091034806369,54.58686048890013,50.22675221112785,54.81471343424315,56.849312255471965,54.02496178577543,57.12382912186139,51.628778798769794,55.90556991931359,58.76039106469261,55.148121755021776,53.0772908644135,57.68052423038278,58.998509325946415,54.14232479658531,54.38122269374475,51.52993763456798,53.89155544746425,52.533346682390544,48.39643537692409,45.39338869735442,41.83928513626362,39.45136772548296,35.98028757417229,35.75676292505807,37.33314035356894,38.6865165986084,43.10760299415943,41.46487177295421,46.98649379059615,47.15111934258254,48.78835473092717,48.536874561670274,50.59218222377252,48.29954785251761,48.86558868977016,45.46280295247726,47.046182295025574,45.140527708750255,42.948509804751524,44.90839084038756,44.052437901944955,44.11131155007971,45.334016998122955,43.04188479104429,44.87009856128281,40.9616662634542,38.22144549747076,33.87265603090466,32.83492164331159,29.028235129419215,31.437566151162244,28.65752072899117,28.41682712756014,32.76508043136033,31.879738409040378,35.562031996897204,33.98540866508902,38.6680453815649,34.24677780381839,36.40088296566199,36.73346391855876,32.58321449568216,30.95779422825191,27.058344368418783,28.52056497716343,24.644224105638205,27.194255237990824,27.03458442675992,28.88659195528847,31.826264261126763,33.57089755841248,37.060365888754,33.82195679733307,31.304206371456257,28.068839806208455,27.617033999284153,25.383599722343124,22.515297930810725,26.0775230165122,23.384576626357596,27.867818271783168,30.31381321044667,34.636692206888036,35.05261972730426,38.789402626112526,40.659521164209316,40.36523962668594,37.94410939487931,34.197836442469004,33.5722978603175,31.96980066754742,31.03399989132133,33.36381907897332,35.66203778267141,40.12534337277245,38.662940103600135,36.21061808536588,38.711742504891724,35.77422263575388,33.183419056418494,30.843574345330293,29.836144698693353,25.66121116787257,25.74549533974397,22.689114023707216,25.944477692907846,22.918212414465465,24.26143812100272,27.215215976601655,27.10506376762425,28.765731254679768,30.769737283512345,31.934142424264063,33.96179125679034,36.5768577165732,36.988572873979614,40.82815434357768,42.42506745686208,40.830653931324704,42.700342853242674,44.76176801741309,41.97684685002125,38.658885926594294,38.47134942534928,36.42957916878798,39.22360083991346,39.39501485348922,39.354363453405895,38.895062851040215,36.89318485762093,41.325566071067485,42.67385549987725,43.27263492883243,43.26582507380164,38.86931277936399,43.94729114953114,46.857024160529264,44.63760702084975,47.80056021521001,46.8694089873239,51.65659631279444,50.370452477127216,51.14797463886686,51.65793698702568,48.4482732450189,47.45052882291637,44.818922975409784,44.43649527941396,44.070737715694285,39.4252899185414,39.214633617304145,35.82586877685814,33.88911365254652,35.35162260509517,33.15726812490236,30.016198933613882,30.53766274768855,31.982815886024227,27.654447303692592,25.13149411013312,28.241882531398883,28.85684592641317,22.903455505724096,23.462365399749626,25.51988824660767,22.242917822606962,19.226702767006326,22.67509861561161,23.78031595313691,27.836471501492536,29.861808930680773,30.381556677924568,32.671073514262545,37.973802072060984,40.601309276403924,42.92436844277895,43.141609744976655,43.14243619203779,45.89745075578215,44.06186724875287,48.23349660826692,46.84903936812364,41.265345327574025,44.26975754438553,47.72837434858328,43.66696011438083,42.033718968491954,45.901986108815535,45.77538590720714,41.523389160668984,41.45827796990561,37.47661360996521,39.87321457407013,42.319766127308434,40.32205021420413,41.93498005509498,43.16082520144643,40.7886481737773,37.92606058788476,38.33652436981226,38.12864116026525,33.872588773917,32.90545879969338,33.67501730112675,31.188614969548016,28.83822184222513,32.64039604557458,31.799272525814004,27.11512387869626,28.92884828409228,32.761949678456375,32.68215155710562,36.20122660275123,36.2784939483654,40.0847314993424,37.75008205546483,33.09757977225422,37.49285425635109,38.58160101471188,35.22806027541361,35.21562793620085,40.88848396481153,39.06333569647504,34.53674216665721,37.9713040171349,41.94894076952952,39.65381433018389,36.00023937807253,31.340933508414036,34.92235718599838,30.783635402035078,30.04368792506668,25.339815048220892,25.276521715452407,20.696031539606143,21.31358025177139,23.918648610218465,27.40370843919429,28.6616547635404,29.974799224734184,27.35597457666403,30.43522503571233,27.198727153168804,24.35608614025713,26.547599755141842,28.253674283976135,28.30601770682319,23.049134602998624,23.847866600499664,26.59843003987324,23.885094578585623,20.421336622894362,24.457229888319848,25.25085670745082,24.83091687520952,25.186480734647457,24.59697201686987],[15.150907283931994,16.82215820877896,19.626367676504657,17.626055964384253,21.478796852283853,15.8473406356487,17.438551253477858,18.59289923030979,15.560628597420193,18.444275824659353,18.84368335675513,20.2626804831431,23.333510477341505,21.257647749468696,24.778887299861896,27.088596607000163,27.63192052990765,31.6880504652716,35.084611637378295,37.59546808732198,40.91063855702003,44.93926683910084,46.017322859033285,45.927789693120495,43.161675489889205,38.94820160808629,37.119065169366934,32.97974079376333,32.47921219630799,31.05145585289447,32.07290097219041,31.608346367313374,33.6923307952541,37.930000336097756,37.01214634582933,36.30231789422778,35.688928301958754,37.9295317014858,38.622718485761226,44.519859186825904,42.058376892997124,42.37295831825428,46.67539462637825,47.17236489335153,48.8103870250476,48.1460952007848,52.24583591966649,51.47204488544614,47.36301762760094,52.13068623157975,54.15351679805047,51.249954031314516,54.23430550138956,48.76202136885858,53.0745859392054,55.66505234926981,51.926774500973224,49.874007910231,54.412594493153605,55.61277406265982,50.60503864225927,50.69546665988221,47.81160140654382,49.96009046566938,48.731913156041486,44.69398837614329,41.39594532584469,37.90054811592723,35.2945981527923,31.797372537339246,31.454950504192958,32.87169631251661,34.360615392410764,38.84506970078389,37.41640851054422,42.95125204301684,43.3414418801361,45.09799070235437,45.02473532824173,47.207119437902485,45.221357218429056,46.003230385568955,42.92249616302634,44.669707532122466,42.6231076876528,40.19270844269963,41.77100923227479,41.041446255740965,40.6458919331496,41.89386404344251,39.33025284185397,40.978202303298794,37.10114252075582,34.554678424871035,30.20112836913591,29.04992786345903,25.20335734819944,28.18176469528726,25.718824583501412,26.237607208948067,30.237371556461596,30.115902437004692,33.35986228187369,32.45777833896333,37.26408209964711,33.11247527030966,35.804485888741844,36.207711869896634,32.278005270533065,30.383646735304712,26.42325641610875,27.072914141168162,22.796889476204363,24.938418038807832,24.042838991171134,25.831864216978737,28.421863238872458,30.182971065686356,33.241852605255026,29.98289811680855,27.414704761225174,24.320593391726355,24.19205184855364,22.309777206772978,19.87610410371058,24.02703083005246,22.25669150356394,26.61530562739921,29.459802266179835,33.60227566288641,34.421253885711934,38.31211237118118,39.75708637635583,39.288231225402924,36.663654824382256,32.64238765836066,32.47706253495336,30.21043873539572,28.820827095857087,30.854592408842908,32.788003445694976,37.11216391116878,35.45338600015159,33.22715870653034,35.732962106994336,32.72797663600021,30.27643211072996,28.117829557839357,27.58869061216672,23.4471321117942,24.26966111539283,21.043149183569977,24.901232344099068,22.277638738808914,22.607795871745946,25.415642779926593,24.833494325582933,26.998884083636707,28.38724151634813,30.144311987471124,31.84653894510452,33.955397697392314,34.400629988309895,38.254568403405116,40.14091667600987,38.56531578770458,40.872688964396986,42.95516974208926,40.509895929986406,36.93646990303822,36.860908192534964,34.47403082310702,37.20864248898685,37.352917024296666,37.1616313939665,36.88672733760052,34.471447214773946,39.17245553755219,40.392263323792456,41.3232878669551,41.269723188330865,37.29533709551663,42.490780513285664,45.369709183797106,42.92288745484772,45.64567804970064,44.32858404154524,49.24284747086464,47.83797793627511,48.99798720684525,49.76654700862869,46.63258529815302,46.01420646639747,43.634852573562746,43.571477129109354,43.608008445595075,39.000089879498425,39.18745869034534,36.16103224096585,34.12369107501871,36.217898688166066,33.969635914109325,30.561694365865364,31.630473164678353,33.46086072160049,29.015068500751212,26.53072731502018,30.162293267933787,30.956848746703024,24.95790802434232,25.89401163299889,28.310654159435096,24.92467704530998,22.06705617233313,25.925412249496667,26.66307910559905,31.070683121824494,32.58335309247987,32.91025125689566,35.48883322230542,40.63026422999966,43.64194867179066,45.6455637805994,45.596965025402724,45.22590313589918,47.766004189310415,45.537864792426745,49.663642792443675,48.56179042636306,42.72312831569536,45.399300774249035,48.971913771948515,44.9849529590715,43.00167377669821,46.614340740932334,46.76211816001857,42.52324440482626,41.79021510551964,38.237482104187144,40.262298055131474,42.99146764671056,41.39248454745199,42.78627765742561,44.32859598693016,41.518973047864556,38.73507093260943,39.7515625631455,39.322945607079404,34.82062249386109,34.37823830536879,35.44069558382517,32.905240631021016,30.716914143002462,34.92574207071941,34.2073264531229,29.655954285811422,31.675174586933565,35.612788340034925,35.3670381690216,38.61601638276347,38.233517915757076,42.12559251942371,40.228352816196384,35.25812491405752,39.32797936853648,40.76912646423505,37.48472622090656,36.903254518652574,42.75003287559672,41.23581787414294,36.41066849993991,39.40321082615019,43.71281084446649,41.63518078588334,37.80578612075561,33.142533694688204,36.91423679296505,32.75419153915619,32.549873651211755,27.523748056741564,27.332644747613397,22.70577590704875,23.121007208772998,25.31601648328288,28.73038869350982,29.571619715776812,31.09246407108004,27.78652239942071,30.618014410398896,26.856764219546953,24.925300522349815,26.788230804442794,28.98359708153144,28.611501144088642,23.435855780421313,25.149090417917407,27.778737266130086,24.353714345732804,21.970427710232748,26.34505136372803,26.913516197697746,26.5079906082942,26.668948488190622,25.87763218456318],[13.128737105705007,14.277854176381435,16.65186713039872,14.483641448592046,18.227976607070925,12.72589558666132,14.456737136918683,16.02976436641331,13.325889736435862,16.31500043374369,17.278347706997906,18.86160773690548,21.412748609259555,19.55166712782775,23.456824126463292,25.52747222627818,25.738110388863163,30.00421232566542,33.37327277671027,35.6966055688221,39.086786913003145,42.9750007755759,44.12142770710749,43.90600417645913,41.0175035236884,36.89470399995375,34.89993730900587,30.792589931122407,30.49146940697008,29.126724065010254,30.768242762066276,30.06847402330848,32.512352182288275,36.74275304001925,35.47604962789945,34.59045950028844,33.7677590074379,35.801450311673456,36.274723993858224,42.08601322473566,39.57486956912735,40.166043512767615,44.46421520369286,44.79979684329213,46.445235603839784,45.627846674124044,49.73403885963782,49.00809213596229,44.73995071027698,49.40150758386757,51.490522858334,48.67036255070608,51.79338444576849,46.32069401902457,50.75724867436328,53.42131384914573,49.701520234973685,47.79344419573542,52.4087814083881,53.527682378742796,48.6414846312571,48.99882919735271,46.26579295494173,48.46273987221643,46.99847228962481,42.93295744615383,39.85290875695875,36.41920226630339,33.94118347119262,30.638006285461454,30.325495905437,32.080255712098236,33.5043810921788,37.787960069153584,36.2737012675523,41.93906311021606,41.943081969718,43.84297980058784,43.48053315681283,45.417355772483525,43.33159511816405,43.82549636442218,40.73910147211222,42.25817619699651,40.11166794627086,37.91227082177965,39.680589893988206,39.152978728745964,38.916485930308085,40.5118277711861,38.08993797235469,40.078432273486975,36.262727246947776,33.724549605552994,29.211193773109173,28.46700194230716,24.426008201983436,27.13478050127844,24.47498307328648,25.090416969261533,28.673067984819337,28.243046669309315,31.31102606102682,30.122915626809593,34.657148185301004,30.378689114281542,33.02891944785626,33.24635160616221,29.27080432317791,27.550187276188304,23.476904657688983,24.152445431738332,19.964732585053678,22.07551191174863,21.548794167667424,23.267268432500927,26.13351113645388,27.833239848618287,31.29920235062229,28.1405845336033,25.563229704397692,22.335952266748883,21.8672217830308,19.725107062680436,17.06503733365182,20.989863199076858,19.12445518305399,23.4919025896877,26.331777248510825,30.57060346291404,31.232072351660452,35.177236941462034,36.5941442399416,36.261323025564245,33.531387405219775,29.54563262064854,29.246575697907723,27.088402594604688,25.831380579931285,27.98730626168751,30.11883479657453,34.516154056579346,32.98464646738187,30.627272151625686,33.18619677381538,30.323786974868057,27.7321663002785,25.632432958313277,24.98163138861067,20.948393954238462,21.781074603207788,18.99852848439387,23.082851472472477,20.92260048805412,21.44984745598102,23.823828384136768,22.988386314331375,24.81941731172875,26.216144686678955,27.55320483991349,29.075344998669575,31.435485458594243,31.65876343020331,35.590716068644475,37.254461747413714,35.61487973210262,37.79333728941548,39.8620038266428,37.3381784771088,33.81529627493968,33.71964237450768,31.429875380762493,34.26395227812627,34.523915700472955,34.51286523562194,34.36291136292372,32.17568478378768,36.92075306175117,37.922799989680605,38.76377884006548,38.48828644932298,34.46608478270371,39.54751928602797,42.371698239208584,39.93177399735558,42.79942220186865,41.64491283177688,46.45815942177253,45.02425751166116,46.0530096848444,46.72333688142903,43.59629790921012,42.87254308785533,40.454028894138844,40.367775463837724,40.37678506055786,35.7544751155681,35.98481323759488,32.98383481755512,31.022308600200358,33.22231486967709,31.100689637875046,27.583066751790547,28.657763648407453,30.685607474576155,26.300660639360704,23.644940598746498,27.479150387049586,28.550938304215556,22.49929732005372,23.49318732061203,26.17104829058654,22.930659162434264,19.995055134443074,24.022738281709433,24.453273940581003,29.108464507988135,30.219519711184976,30.43697748513377,33.19849878404785,38.21022895044522,41.45619296398468,43.25494849163197,43.14383814821407,42.59849998468785,45.08790341381123,42.78098710810404,46.82387509321638,45.74684368919639,39.8363090261175,42.44396039870922,45.97418620413775,41.986044798559014,39.93307261932482,43.49175313507863,43.655586238581876,39.42304254666642,38.58251101631302,35.12091335228963,37.17989325071392,39.973059385162216,38.53435312701059,40.00257686126524,41.74259349826401,38.905833124438246,35.971350660230996,37.221799286271185,36.94587101469802,32.318587198078035,31.87399547348627,33.24624310465397,30.83861735414623,28.48115109943118,32.82530271725212,32.38352428885961,27.952098489035265,29.75580628181013,33.73491081419262,33.23973450945995,36.35702796226079,35.76712570951436,39.60066873839208,37.854673181969176,32.71768572569094,36.62572802851068,38.14238752422899,34.87893807931501,34.05453648929783,39.939257192571546,38.536686318256315,33.600628881106395,36.42803210777328,40.839381215340524,38.86994872783685,34.991599241573525,30.35670964665996,34.26865673597048,30.18764055770898,30.145877200510483,24.988440255293416,24.657106878339327,20.059730352196432,20.459037576753857,22.437767037969117,25.854866920818807,26.519349465685465,28.049645022492495,24.612762078380168,27.44608015874956,23.653451003135185,21.965440552026713,23.981710833163977,26.331765214224024,26.164388143098556,20.94200097255411,22.784019827122584,25.64598906343307,22.382651857088113,20.02661087712409,24.528540683366206,25.438314553640275,25.271119753744042,25.40917361743095,24.597402797873393],[16.421053939762622,16.89317188109806,18.436515041866862,15.277290793374732,18.572898398123147,13.617188836519201,14.292140222342292,16.33531108124991,12.806905332892626,14.550254273713032,15.44417724875916,17.930822426587362,19.740099303237148,17.02544420557521,21.18735765084033,23.54626709517099,23.291027157565548,27.29998827857468,30.22425400713736,32.91382423999537,36.025479470783665,40.08959566099187,40.95888867023126,40.638993409050336,38.0019299136868,33.760443690450536,32.13707812935043,28.12233305372083,28.116173051156522,27.28303495062518,28.585639776681585,28.63443447507916,31.172991814279364,35.06387505081155,33.780821760087974,32.49525064223558,32.20709405247732,33.69707336793708,34.14311191508341,40.21239575395336,37.2548611069383,37.578500060276355,41.98073737999831,42.23523398271068,43.62010750998181,42.85026909250669,46.95053559105798,46.4228158770599,42.376485471062914,47.12424212868674,49.367819743431056,46.58475832374736,49.7202750794638,44.31845007246919,48.95872060145219,51.26123473447152,47.347758774061354,45.667339628839144,50.237372338158295,51.03919176362098,46.02613767974408,46.399583310770446,43.75903473327389,45.56515705811616,44.117366530571324,40.24871637219679,36.76167265348153,33.5612171261463,30.672117651020365,27.547900349801512,26.8992732310385,28.49611323408241,30.309648614947207,34.56516178622369,33.495777653579424,39.255650520575,39.40965581177533,41.62126074020924,41.353635378321265,43.287409939579476,41.619136376752465,42.17207022328287,39.57312850324426,41.0825468485059,38.6316607024195,36.36065537801639,37.70371721746978,37.575104952789,36.73992444005334,38.63680912649447,35.87588584704696,37.74363834576054,34.04466126831857,31.861524731197377,27.311115215583452,26.592820520021036,22.454488690009637,25.90017987372965,23.65692319790641,25.272068956827823,28.13301606925554,28.45324466755614,30.81949997620002,30.23931890832855,34.59128710565876,30.55593628903794,33.657630247149264,33.713985360566646,29.95206363014131,28.250702633643854,24.09411453720972,23.879573712162053,19.4356111581703,20.740052552525874,19.481766932994486,20.765792186370856,23.344382157804876,24.746332508981485,27.923197504371235,25.02838040870379,22.2024033764392,19.21329372666709,18.686190664115625,17.087101052747155,15.160748943048763,19.56175578139787,19.051280211830402,23.104256988826243,26.331436647493874,30.455638962780327,31.207724231988312,35.36866690598979,36.25380502744373,36.009245434422844,32.84108297690429,28.626854621932903,28.492136514539986,25.664013113959296,23.81895939670663,25.82003068025214,27.29057519152786,31.632190229110932,30.1391291674424,28.11219290483454,30.842731821923948,28.166227965019424,25.634856252786427,24.036745848096114,24.01672627474708,20.28691712185071,22.05432956018168,19.539543802774553,24.224790589424135,22.716899622453216,22.33036029861648,24.269130452296395,22.746328109907616,24.907041077441953,25.48919444575666,27.174738254998353,27.984361476004374,29.874394062016837,29.742010344273407,33.82661293519657,35.5027773294148,33.63036499240732,36.266106312155856,38.14411393960504,35.9490246415392,32.20770371342704,32.40521932707897,29.898737471301846,32.90890076581411,33.360413812241575,33.40008644615406,33.65373313838055,31.169311398491537,36.248906516499886,36.85942983390382,38.03645317941278,37.42026315422829,33.945204387114515,38.936663992988464,41.594518755641275,38.87784376135776,41.33409557355703,39.844710884922094,44.64181905136313,42.85765194646209,44.30591178124705,45.1302372917322,42.21554975996539,41.78291451968656,39.63795582724479,39.89646256603902,40.24058656700182,35.64385615803747,36.36667681315014,33.70314108807469,31.92631023684581,34.65497169131032,32.74993015289219,28.981147306800732,30.286982637432377,32.77706812674176,28.51702634299063,25.60207492794637,29.83574225609073,31.344979435567296,25.31990346258993,26.36513257948607,29.372172894312147,26.330979830731238,23.324849857858677,27.39029876022182,27.394555259552682,32.38689281176991,32.72451940531715,33.00266782009114,36.06829581816628,40.8524698795565,44.37821499473261,45.92138852150018,45.78351453430282,44.93717404468581,47.29578071673424,44.765227248224576,48.62671462080028,47.6642208277761,41.606188214704645,43.95926377705187,47.381586563387565,43.40075095921819,41.130252701867,44.421022571250866,44.61063752640195,40.39355389354743,39.08103376393054,36.16101052084884,38.126279961029454,41.178876600390765,40.23171739098625,41.65908107382999,43.78194503833128,40.67595277297733,37.67480943404601,39.501347954638454,39.23755776265879,34.4223775192359,34.27816185339823,36.03417687703249,33.72261442823532,31.358756420281598,35.90966799199869,35.70939685253696,31.447155436603367,33.146055216369525,37.14332357170056,36.395274919593106,39.30067520978532,38.36214540650699,42.11373748052416,40.652851989155096,35.287460040782335,38.851095000925596,40.49504461067454,37.268680994752344,35.95315098712983,41.859286528156545,40.577272342931316,35.418013830494395,37.84999204068057,42.4237469337153,40.52599145797942,36.513040410942025,31.928279814399453,35.75584593413157,31.628973887732183,32.2201157428124,26.922339655077156,26.784318804887754,22.416479280075986,22.244058369624195,23.85865200392525,26.968469368487188,27.37289982992775,29.32299378885803,25.491266680379763,28.20818534321946,24.049295214407973,23.55715196308784,25.49894049394317,28.280045143644216,27.992989322786283,22.95619201490404,25.405275530701566,28.288938907249733,24.74011077440084,23.124117276414317,27.74745524110688,28.66796733398987,28.592492172148077,28.58201427175738,27.634880350179472],[17.4854977891716,17.453194842281494,18.60079707805752,14.685142164937188,18.169182347646917,14.371200471042943,14.850304841142176,17.708360693886497,14.361775460324052,15.226214831488637,16.583746084600616,19.696405998136246,20.480870733425117,17.32857047327432,21.91701111057286,24.259079394719244,23.25514377725357,27.134821083785138,29.461391885396328,32.34261107949903,35.177293097139234,39.25104189541052,39.84810205479607,39.203836773099276,36.76399258419405,32.53050662180436,31.171014660033276,27.369912798354896,27.94527128456361,27.681485326191517,29.227780926020532,29.67515465484444,32.50569871297857,36.097872185896634,34.55350963267538,32.80522951666132,32.75323189564385,33.54139480940453,33.668859730821495,39.80346382067244,36.34437762208817,36.786272489361295,41.26344268020164,41.187588446506794,42.2435273352952,41.24511244227441,45.33152462939078,45.1724296751175,41.123870652604516,45.731844688231995,48.281423106719345,45.70359759141013,49.051491191678686,43.749425949769005,48.71057538633316,50.77111994988257,46.71255566030647,45.43782480191194,50.025217873019955,50.42154828072467,45.44948937173601,46.118473977654865,43.728060188744806,45.165579930352656,43.51642170766026,39.86275524171496,36.17241424713319,33.33051814918376,30.11519938474114,27.42106564996306,26.39176984070741,27.98827923251833,30.22965608109122,34.2546346656947,33.62637162470164,39.50711894888357,39.51642860040035,42.10332168933311,41.68840053134526,43.37931912155395,41.974677019218106,42.26145253201675,40.04484839938486,41.25968944213164,38.463658533815455,36.464441991535246,37.66305065558106,38.074635018457926,36.90964426601808,39.33680845733318,36.43345338820267,38.406792734660954,34.889494252068125,33.02779270150414,28.427430966856523,27.973715406598714,23.753241652502734,27.48289382623098,25.417645898234987,27.567158967214013,29.72594187161199,30.157465154702347,31.964644664701922,31.39985036664664,35.25252747734765,31.20362975649274,34.36237024373098,34.00944667797453,30.26769992980201,28.973558981037,24.673536943026,24.108078815068925,19.806338315522147,20.37001526905814,19.120018374250666,19.69294310045622,22.361439910241867,23.146614265335867,26.556065911426902,24.24200897899092,21.100727747324644,18.35658240999225,17.06919065890385,15.843135867229979,14.472020327449465,18.647039234881724,19.037662142046727,22.79642882375089,26.15714476187,30.400075184318524,30.71652322767357,35.09492487427812,35.63168205227452,35.81487154814413,32.12216240100708,27.886762494388027,27.32854659678659,24.296321793400157,22.111072241664097,24.34518601662376,25.215541450752912,29.687502926120885,28.622715477317556,26.822159860993786,29.854761305372676,27.66098142232602,25.00553276126963,24.021463579781116,24.320356404086944,21.05711199642958,23.282782686523035,21.44211760720946,26.4030677531981,25.431680842722876,24.945203277683625,26.38675806090714,24.381596991537283,26.330021289030334,26.467910251732842,27.809621715407083,27.845981704522263,29.729480700109264,28.872443779279546,33.21593620022622,34.43117463736393,32.09041618115184,34.874561819603365,36.376083043853704,34.24920022217111,30.481940046730763,31.044753920238367,28.68088654710883,32.127510095986885,32.983674701080254,33.36957943653047,34.07738554910313,31.721556288462246,36.99915545218472,37.08161752085883,38.34882365454473,37.160855640748885,34.01449560409018,38.67924735236692,41.084857516900556,38.196137293966856,40.59442001607538,39.109760005653186,43.667116351108405,41.42479742692756,43.036958279065544,43.74065894239448,41.0970218060279,40.6140216617039,38.581475244715364,39.002665056041074,39.38295464849801,34.73802678465412,35.81127782400906,33.242035886535746,31.91472627134524,34.81220262554359,33.351760805048805,29.406384008846643,30.451682689045484,33.35591482761299,29.39350130870068,25.897739008836375,30.341312146350486,32.48303867296512,26.432805350944747,27.20738873125142,30.514884178517512,27.908155481384902,24.562158665242087,28.416739419658743,27.972353669646196,33.30404416940905,32.74285377712917,33.296061121723234,36.64877210154433,41.214670111814875,44.892664719989234,46.29072950580519,46.38126354473225,45.38959881892401,47.77279462989436,45.283083154384265,48.89108838440142,47.791221969754005,41.72000255832726,44.03076115757567,47.139916825928694,43.05379128340545,40.79857296568607,43.95309663699538,43.848975123610664,39.6126295584978,38.28159778788396,35.75654789431327,38.0577255009414,41.244515580419176,40.68314330742446,42.33883572729523,44.79870847910791,41.73101340099135,38.45552535078304,40.61005370100498,40.661318165084694,35.73794972892164,35.47966336825733,37.64668890034507,35.55378812452172,32.92311754556127,37.469113682799836,37.61362684973882,33.478635749362766,34.75318746988633,38.72059655238721,37.645089165331235,40.47046355052385,39.38919664450345,42.91999516316153,41.48551388325867,35.99176219199161,39.328423016331925,40.8222430501343,37.56177078867298,35.97616106221009,41.77843233343136,40.36711078531431,35.089785770945646,37.33732057475649,41.863849504859374,39.852680244897066,35.76242794543255,31.227675270944736,34.77335792730796,30.57400215005428,31.719269434302472,26.424942505031968,26.707961824235717,22.69552849313323,21.776610252685305,23.207388671346862,25.931060317181256,26.3493551987862,28.81276084502498,25.06485910640377,27.950725855877277,23.788893014512432,24.172410784276398,26.480681404801913,29.467116928656942,29.535692763997158,24.56795619491376,27.035270220171146,30.212771515264972,26.9626014039525,25.28295665059971,29.901129054100945,31.189232943616165,31.304384394040245,31.27395430611334,30.300667586860584],[19.97917654489018,19.30494527655041,19.29963271064876,15.199389304814556,17.195492136438826,13.806860883681662,13.008876523475113,15.882916768818783,12.267056044175506,11.884324307642828,13.39816895486921,17.05739584109101,16.92177744941375,13.433530023643193,18.231774916556695,20.513544737386265,19.094810809469642,22.87369034262947,25.03803369386986,27.94136063182537,30.724709172927387,34.79886331588431,35.378857976993835,34.757076790925375,32.31534757896118,28.066891727303876,26.764720321675032,22.99899006418316,23.71405275455733,23.764086192567337,25.384650607815082,26.130819602277278,29.14608477200892,32.46719996174885,30.757169311439572,28.742386173733923,28.91522867924963,29.35413141974044,29.465545464344057,35.68531656248427,32.09602493012074,32.40112448644612,36.894455467662304,36.835906949062924,37.87530686894209,36.98801505791554,41.07221344454427,40.85950239579803,36.94095595086157,41.65017728954507,44.153993196256,41.53724489905157,44.827333102437905,39.56463294245823,44.57289968741392,46.479871957110845,42.36872384104263,41.17770369908619,45.7405264294655,46.03101557852323,41.042317264746956,41.76993005412443,39.470345926274085,40.81424384508494,39.09666254663127,35.49239951278509,31.7944859813439,29.048361842495186,25.824097152835915,23.319130925588453,22.251556583703636,24.087994917934306,26.28902233111708,30.122446631054764,29.557176238240643,35.49804982013507,35.338263990171406,38.10084545301301,37.59242013620266,39.18341527041666,37.95731141341435,38.22327015669401,36.30118241700395,37.49543988959483,34.5629413116228,32.52305964900973,33.507150373743244,34.1672528609238,32.75820480347215,35.45579885673564,32.49875151862426,34.6086635210616,31.232581420800326,29.584053985894084,24.96454060781891,24.845558186737012,20.58228931326046,24.4172824242982,22.600433454215928,25.438049508117174,26.780272937628432,27.661445558400676,28.831436920081558,28.722496918757162,32.377279053922855,28.657005197133813,32.186851882695485,31.84292659458568,28.456201124977724,27.02838174216748,22.880581930558073,21.486441455051224,17.116083796989304,17.038771766557492,15.19820251574354,15.564323964886697,18.000423235543252,18.800118910584995,22.094310652763657,19.81159188368584,16.640215691598204,13.936499432137685,12.726294806055279,11.777317347358007,11.049369995860495,15.57129334835032,17.093143365695127,20.372513824034737,23.964344993923604,27.84845452140869,28.549669638610744,32.92064518454747,33.04348479248782,33.05309895525998,29.268017118158514,24.896823227392684,24.890001069104095,21.28666935594282,18.75701998761514,20.592844929135914,21.294329624328242,25.60124819920403,24.333000182638504,22.650217443581806,25.65902235817287,23.505190723070275,20.944659748755274,20.25720251748686,21.00908253544822,18.12256027238393,21.03507532973976,19.589753113767486,24.849734908610436,24.62925739782218,23.481815936449866,24.316196112232188,21.76215898100606,23.803701065250596,23.287038695316824,24.844846176348355,24.40605251564059,25.878881215662812,24.95113834320687,29.267785504085936,30.666226692944903,28.43280390919101,31.528300904932397,33.12431621203187,31.342206262745705,27.407758937933423,27.975436052223003,25.31161076096013,28.607852721502027,29.449747913690064,29.773290132708837,30.71607792139826,28.186458359905778,33.61239604717072,33.43351210669185,34.92331452542136,33.60765628916006,30.89680622778189,35.52568440446074,37.85744790892795,34.8239322741059,36.85129169579228,35.11832744817029,39.72513487943157,37.46309894849852,39.30968809079406,40.230188282037574,37.63111817669505,37.49106538422841,35.70825688945889,36.40287449021896,37.170591219958055,32.703860359319265,34.101963659199846,32.00481574152377,30.572467903044302,33.99972330607951,32.52786462556793,28.499210402559562,30.085044349198142,33.21605280876374,29.322046951452336,26.146955180488067,30.835627331272605,33.001115162434395,27.244705748803465,28.389437126805646,31.842600840914717,29.232681472293827,26.2902720330374,30.380935784586065,29.68221505486924,35.04693072526259,34.21230517449187,34.386254499659216,37.85748647757954,42.138642276095126,46.153170550417414,47.15695125463158,46.88420569820298,45.52081332982078,47.6117827346421,44.759733756710304,48.26174549696136,47.51019643766275,41.31422687880899,43.21643396241859,46.43014377197669,42.554568778439965,39.96743104406684,42.787644411273334,43.07454540996707,38.98443602523522,36.935142587751606,34.88035754370817,36.65236499994278,40.025724577838204,39.865861905552656,41.261456479411514,43.99156570217127,40.59309603162566,37.45225740626568,40.15488331123484,40.04200664181639,35.024916723717325,35.25505992468551,37.682987586032624,35.659800629926586,33.23047995418189,38.0041854318204,38.31618678029509,34.46758441980596,35.842069837462255,39.793223244874085,38.57213324126721,41.03003846964365,39.504668504826064,43.03078214501141,42.10524429736685,36.45793191626373,39.35308832142943,41.217056669022575,38.1536813910813,36.04120210959392,41.869251967315215,40.91841000827713,35.5236825150231,37.20915062940298,41.999759582713736,40.387798164689315,36.27337040428636,31.943130922847054,35.73593643344955,31.814362310239172,33.25575244016016,27.89042285807427,27.764382305685675,23.931897701485507,23.196635188719746,24.00538262446107,26.583427387655618,26.39020465375409,28.729190241578525,24.402731866464308,26.77690871484759,22.306013655564772,23.645646805810234,25.494123411650516,28.801968256369673,28.56860750444158,24.00650977859069,27.126067986457322,30.092007023410872,26.555182443197303,25.86297608612948,30.49631596039937,31.678533133547276,31.920778588569824,31.74292214261854,30.69346926810711],[22.78699629328225,21.808274810975487,21.539577118288474,16.924431539096723,18.979396584059753,17.04096162180746,16.14802323838149,19.527662930534117,16.26947959820154,15.007897191855742,16.68092944219886,20.719486313984955,19.57507142192312,15.692683862221973,20.52205408885518,22.759154422152015,20.490838525750352,23.77852713413233,24.9332004469015,28.150180688259564,30.39498753024649,34.47899666241225,34.59360823759408,33.53553811921778,31.505282563709812,27.303331150442702,26.550676006351214,23.236346497794482,24.726982394656357,25.58665363781822,27.21768665223249,28.592163524073445,31.768502380076043,34.61089338825165,32.72049734812165,30.173057963341034,30.7769386738639,30.277369798367165,30.017846194645557,36.248616281447475,31.99210777871144,32.32142336176722,36.85291464002478,36.3753087864287,36.88863922487937,35.74795011732247,39.76096176891904,40.085412709713474,36.308045396190025,40.809452911768794,43.70874604683546,41.38017836719768,44.87477694838163,39.82835614517418,45.18601120400559,46.67485771291279,42.383073613404285,41.74322876692357,46.23911884332071,45.96232433511415,41.03201170617354,42.070919838538664,40.10689749854472,40.86044506335293,38.96647237914443,35.75695776889263,31.714816474188055,29.555727388597866,25.855213160454202,24.021886162092667,22.382668213910502,24.01012544012489,26.83295692268915,30.296097706540504,30.44908236315356,36.39001567478815,36.181667376116245,39.38557843436779,38.795389236475685,40.115984053907034,39.33998615067576,39.35102659005823,38.01632418295953,38.878927281678756,35.54818634136238,33.83010384562521,34.486418935675516,35.82474052632985,33.89282023662111,37.15266290483386,33.989952455229115,36.06968579624527,32.9970592770716,31.83159155262925,27.339261146201817,27.41688501810448,23.281680510649352,27.442991343556937,25.976705472265945,29.315877690981374,29.948855178996826,31.056517673580927,31.568000269494092,31.598100284776248,34.63738981477536,31.043705945482543,34.595091053714754,33.809543086143115,30.55645627991615,29.601546773977184,25.44639109552174,23.651888995249646,19.6658858189842,18.60780041107648,16.71213423791018,15.94635730612435,18.16798748217008,17.901195520262863,21.209098986785648,19.945239498436653,16.42164162675092,14.449524857770268,12.207349570671543,12.293179269106709,12.778254641314975,16.575804759471,19.292752798145738,21.982415155897716,25.60484796705027,29.46212813913375,29.65089716224855,34.18749071889699,33.8143526361888,34.33954040206756,29.95577430738626,25.663296703646225,25.1637835171413,21.285263641263732,18.2230950497677,20.218715229024795,19.72364219613769,24.06469430785447,23.44674294121691,22.284142604767013,25.63833837140729,24.235478048739157,21.680773441060197,21.923371620672945,23.14635041600153,20.972128767526122,24.276020738465476,23.46678568375028,28.804188935539482,28.9812248195902,27.723829491990898,28.162812782746784,25.23149046893578,27.07321166111064,26.027031564818472,27.26000746134939,25.859167881507428,27.12973280146969,25.266144875858956,29.798386542938132,30.60148363104859,27.744968484555066,31.103317442716556,32.113244458461736,30.55576487292889,26.625160545071047,27.746802317874028,25.295351063209516,29.078453576125927,30.42658673830361,31.144329430444436,32.64460920319809,30.250304461507383,35.80068088759093,34.98792999058059,36.62327848999856,34.62997041895135,32.483622866271276,36.61426497270826,38.571957269495066,35.33127697730518,37.137905896504385,35.342068904409466,39.574936530665674,36.6694126166955,38.828714006546015,39.63016222266804,37.46943823826033,37.34372768458397,35.797354257624484,36.74852534525454,37.603016210553285,33.17544332841233,35.03391228589372,33.12675008135181,32.26833161940818,35.83117843794756,34.88265849775496,30.750599531266804,32.00528231583893,35.52186813535539,32.01216983680284,28.293164717228834,33.07721435121247,35.85126032415977,30.148142600799428,30.9683829799205,34.63697735865927,32.47084128889517,29.21710090548605,33.001061667923175,31.906140751583504,37.519916422944554,35.7729870855878,36.28627688136359,40.004353654809336,44.01813246168747,48.13011593032627,48.99676471024977,49.004489813423255,47.51081718153888,49.61846106293926,46.846530693620295,50.02452113789827,49.11877763390784,42.97985892099888,44.80856098689849,47.61092766987251,43.65365338950916,41.11775151124148,43.721758535102076,43.64216503672658,39.587419796122184,37.52217842830383,36.0249313895402,38.156578263328186,41.6441226410985,41.937874517204364,43.56415119244949,46.627306582939106,43.30137313595045,39.91606331650796,42.92632121376754,43.13339448362718,38.07270766005599,38.17648073049758,40.963668844637866,39.16146700243156,36.502677589814226,41.20043932824114,41.816966704777954,38.08593782623735,39.05466968977183,42.94248337141146,41.42811595179919,43.80977717681707,42.180607033164605,45.43555963914291,44.519646490402984,38.81603621691924,41.44685301684097,43.10298230366828,40.0307965352415,37.66953192446965,43.28897709489653,42.17782692693518,36.73354158631218,38.18113163706803,42.834746306193104,41.088808920581364,36.946535081502475,32.759667301829694,36.09819991486633,32.151554371817404,34.225036976931825,29.006955952001814,29.40340289473498,26.05469619989113,24.517316389860337,25.120147395430685,27.12846192476336,26.972081969375985,29.886653128538196,25.797963507363875,28.287910286105827,23.963604483222074,26.237766867328155,28.406304542691778,31.831399749626193,31.94026821687593,27.536459441126013,30.56994292868224,33.756022096711824,30.5318007936925,29.730769046749224,34.2965032575213,35.76644965641229,36.13389632618656,35.9427887504659,34.87843201736273],[26.36367035277999,25.260505198633098,24.414967354833976,20.06980590384089,20.767484356368456,18.638362741001988,16.605970757923007,19.270766987685906,15.62134791718423,13.027006233284897,14.099664051427382,18.445626977397932,16.66622518138169,12.241038945266059,16.66545680545166,19.02619431859372,16.579996678440214,19.350214933087024,20.275538803114213,23.767388913423154,25.857603675401215,30.1196221816699,30.162314237807983,29.345796581630832,27.43587705248591,23.09432094455616,22.63246076631092,19.350458315532357,20.73670488502652,21.960850398998133,22.959149771084988,25.009856158421087,28.03989067024999,30.483911782975994,28.733508435703804,26.024983729081583,27.175628432878156,26.462157376568666,26.48420543013523,32.874727437183346,28.603722502667683,28.361439397191457,32.893244506492664,32.689474475654656,33.22844322308056,32.50112628013231,36.48284739092772,36.58688709893353,33.215489315749416,37.98742884857869,40.65723875930895,38.151779511157926,41.35218680341157,36.36739920501692,41.58121457137032,42.80571445864702,38.4493763267146,37.71387550165571,42.08218525665757,41.79712428393141,36.70464706298116,37.49878720952848,35.47941933048864,36.07719731612773,34.360595596087485,31.230379620797056,26.9283980966317,24.819888197781147,20.93615312561487,19.16657455320977,17.39530470651982,19.016997898397477,21.884980128875732,25.29889863741772,25.642365100551903,31.543275893224017,31.5006107330632,34.79296243568812,34.37777984979433,35.8330964545984,35.40067574351691,35.718435130990756,34.76800173086966,35.87376728282483,32.54240802775243,30.48774856574274,30.62903951547147,32.045312386519065,29.618262276254317,32.861913837074624,29.485999025980558,31.409353233554146,28.48709601831663,27.635908596140805,23.32059968595971,23.491442294870204,19.55998792725114,24.060791824007236,23.149639784524254,27.214510190933368,27.172540070805315,29.115697814772172,29.012853850707213,29.905166509940855,32.99344396623352,29.991329111763758,33.98720485779196,33.491452548785766,30.74210932490601,29.376486110117366,25.59888586265829,22.948458705511655,18.918782544103255,17.327166067457593,14.249547650981722,13.382054473452207,14.602414370420345,14.51861643360651,16.856759820282388,15.482290974437497,11.941284247701637,10.42024415317442,9.145669465426662,10.32361411757974,12.011452151622853,16.145694362782923,19.809732463926487,21.936329746702615,25.685413891101327,28.88968862818298,29.83981273213192,34.177233306217495,33.41503383085376,33.452174647795005,29.277824800669826,24.884970969711826,25.40205344651713,20.88651373848058,17.470696353667275,18.512750700496607,17.635365713356144,21.41972670334018,20.200276654395115,19.410247235170107,22.516340522884736,20.946825763695955,18.82050908331754,19.34109943370839,21.23805643670449,19.447483184148137,23.373196775807376,22.558574421791846,27.937363329199737,28.581322344431424,26.451845461959845,26.520895868405372,23.229160888853823,25.466541268461423,23.652625250275268,25.61108054507645,23.955236195239863,24.326675118939843,22.805003197037948,27.052321868280515,28.474871807287894,26.03855247660053,29.87481051105357,31.1297229235647,30.152339517318534,26.049130729350733,27.04487649401935,24.09416221317517,27.327613983605797,28.40258853884941,28.75276629242267,30.341193959230687,27.48847207512783,33.0998348937099,32.23672230510714,34.239011713005766,32.43586781964652,30.892001613490628,35.10883468755575,37.06162526771564,33.700165759961976,34.82120790531865,32.505346563806114,36.93396708559897,34.169987546833916,36.75455851137833,37.99492882241556,35.843409187839654,36.32049197209811,35.14231024216097,36.415376805031364,37.776492010259645,33.6644350724074,35.741818533560185,34.36788766066914,33.174121991442945,37.190344143386284,35.99059310226609,31.920277616791697,33.85855080810873,37.34173521516372,33.75736608143601,30.684647345333907,35.540311390471004,37.96569756262138,32.55914561179638,33.82559193423287,37.435803856877165,35.01604746250295,32.259571249352284,36.33309343374748,35.29565299875651,40.76093323457239,39.2653002519661,39.34851289844023,43.008288655449206,46.88821761883242,51.197730207166,51.79870911327873,51.35888661523763,49.596458863014476,51.390767868808425,48.232866791395274,51.41881606851309,50.955514433807124,44.73040169895364,46.13569677110369,49.19028321883078,45.53090925745475,42.65680748917938,44.9334372906405,45.41558399547339,41.557928907168865,38.739529311426004,37.59853820044548,38.94470421508179,42.54535736175872,43.0751211712437,44.262596120462824,47.40406881309044,43.694542054927425,40.66800687841457,44.05604965499997,43.87585068357942,38.8261467135389,39.52301688767304,42.289621966618604,40.41971510037078,38.15433511812898,43.04496372925014,43.586181415880404,40.042539975492836,41.37151379541152,45.2532793597592,43.817195451491585,45.90866973381255,43.949452876176565,47.31380678892296,46.867439106485044,41.11754092024642,43.44474912081033,45.523639782306255,42.65960957584871,39.96557405762307,45.6281864156344,45.00720428094191,39.54058908113847,40.54415627099166,45.43873357396839,44.113565469538386,40.00537194695653,35.99505116287059,39.63007764941399,35.94489128680898,38.001530251993536,32.738622650771575,32.63795888738172,29.25108222154558,28.205229918604022,28.445474464542613,30.49575542621179,29.82562615386215,32.36537470700504,27.743679972028602,29.574370556720574,25.00065840743831,27.756362184242203,29.190111590010765,32.786475786965944,32.3112221913917,28.374887888308713,32.01759320110413,34.7612718815424,31.04224790709289,31.283875484178033,35.82842685804733,36.9045336668535,37.22985715082666,36.8959440680277,35.76593244496952],[30.182788958055237,29.188876801520856,28.60586655225234,23.99382333061117,25.167655385324018,23.51669672518915,21.72100705902416,24.524339588357876,20.850733863382406,18.15769995957023,18.90253085462028,23.26215754837173,21.36042725136396,16.72867041316347,20.56146764419362,23.04362272919305,20.346130847469556,22.248710038141006,22.05786073154995,26.01262839652431,27.317412319962042,31.662856734373005,31.071478110280825,29.945540371062158,28.751393766413287,24.49397875639765,24.90346816227403,22.220264410123146,24.04756491130546,25.88908080776754,26.221544289734144,29.048116874979083,31.848989124558113,33.799891283800164,32.24460273303536,29.251760881135052,31.004070898077266,29.63849004133437,29.547128042044935,35.878329314915746,31.103107682396008,30.540816858562792,35.00087414938131,34.55584144339291,34.49301867844984,33.721545737108165,37.51954037206561,38.1437425680003,35.21267633936993,39.793611420164304,42.74417424785683,40.48340271131055,43.681215443735425,39.00571641749599,44.35711232985511,45.03566643313123,40.52768205132329,40.226050342866486,44.37138501420342,43.560886172716145,38.4622300683505,39.26748823238928,37.47880826728089,37.326594626944306,35.73081879044509,33.14639596617986,28.261364434586334,26.814685765662336,22.32922622154747,21.16252417124305,18.734012014894656,19.51764799452484,23.193857408049087,26.328072537145594,27.633736865310865,33.271153233931244,33.624001985020854,37.19998236134141,37.02065367237655,38.43518122409404,38.59221021880338,38.953194139858404,38.59119916685197,39.596146541286416,36.044221792029255,34.095492181550796,33.71399971188392,35.56223259194855,32.478700889004024,35.879841488157865,32.18393657418271,33.671358933497764,31.06689794097237,30.74078024360508,26.779771139737655,26.743231150626485,23.183576160379527,28.15334787543696,27.67968610088391,32.023692812304496,31.77941428914182,34.08797686629659,33.65194381070392,34.824373947168596,37.644040095745375,34.809359674244774,38.811797399943515,38.108358620566875,35.44015575855629,34.31201176708851,30.538814393294032,27.768795453780918,23.94916611365376,21.959216316315956,18.819625894009437,17.30994955308865,17.901229969509068,16.86749908655622,18.29700842201192,18.0314906235275,14.488020851768377,14.127277604000012,12.670115065403035,14.712884665054018,16.915731466130442,20.53585527349896,24.61993849554117,26.494819821282587,30.19681741661901,33.34758166781863,33.9752744877107,38.37420870205064,37.27239641344115,37.63381512236182,33.12055380910071,28.861380259650378,29.035008907163192,24.42779778854675,20.700592294304144,21.694541840939007,19.509889584362934,22.91232610728364,22.257305729355256,22.2241224185939,25.41637937163415,24.456976118627296,22.59231574453204,23.741930245712613,25.961728582269632,24.512084882129752,28.547023851288486,27.786034532345457,33.14959498330625,33.728925795574504,31.460174929193556,31.576281311261937,28.225975748773983,30.538357423175885,28.432613990751392,30.41951120739924,28.26464308358766,28.26886772437181,26.21879314277859,30.423029737590433,31.491075839500304,28.630799354997816,32.71815056962073,33.406451109974874,32.749652089471574,28.73481740434344,30.199985348744562,27.451591936235268,30.906575782268504,32.28060837043267,32.79744859939857,34.70818731776531,31.821424267116694,37.425331461424136,36.2186340827164,38.400329296190115,36.23226246282941,35.2098118740489,39.05800930047073,40.708562920453716,37.210090741670975,37.96536394423397,35.46286846678246,39.54194118157897,36.223100677086606,39.226114136592905,40.439987682796854,38.744250395214,39.332728550033316,38.421165797658034,39.91208333701575,41.34043035887772,37.30173714183535,39.67633534827345,38.388882037564535,37.585835240832004,41.59284820582162,40.69423302704421,36.58199730977056,38.2247957217242,41.8833581648653,38.47263434635862,35.01240814350268,39.87287519466354,42.62503116913405,37.12163801645066,38.113871886846994,41.804786165260005,39.57254162724265,36.50521498814251,40.35780393727719,39.197759869147305,44.81743390726627,42.85056295831804,43.297024034583615,47.07892335136339,50.89157539666978,55.15170607090125,55.798306451051516,55.64761675133195,53.89793444080541,55.768335308206204,52.72924380415235,55.72533829109228,55.096240291218884,48.94161308355746,50.36806139934126,53.113176677774796,49.365917167556766,46.59798733162831,48.75582497959355,48.89442362448884,45.05569293703816,42.3590537892751,41.56115030005954,43.22005146696316,46.859078419952496,47.61496021525672,48.96473626711134,52.24707396594208,48.606529723193326,45.45201883907444,48.91582553977286,48.90140557655829,43.84283321190998,44.40306010658766,47.2768231525655,45.46590518469151,43.0586198745727,47.879387145222445,48.49551889655282,44.88749546961395,46.03909773149787,49.915679451719186,48.38209424070039,50.55013281933517,48.64537192626265,51.869188853106316,51.2949560833715,45.54323812372451,47.83338002329284,49.688866562777214,46.75964222582694,44.047244743633826,49.55905482261532,48.69593667279957,43.23163107241987,44.213123676074396,48.926628833301535,47.38197929522752,43.269347826885394,39.3109896989596,42.494130914977276,38.69508762631066,41.132594091905446,36.007732145164525,36.41254717512122,33.238765889596266,31.624823197112388,31.952679708064686,33.643408995736245,33.1946238668055,36.172581539642024,31.85409275798199,33.86065452856096,29.442265978480922,32.499931323488184,34.17383987504981,37.776320246632395,37.4630614426605,33.49624350831231,37.000634501128275,39.876069898277386,36.241270645943196,36.245938230078586,40.81032870770487,41.963760554265264,42.25879049717073,41.93978535895771,40.787536460834076],[34.0091342961055,32.706187577842414,31.39575259462846,27.03559997217838,26.877088762592685,25.54140863563217,22.861326443892125,25.085102751825687,21.603638002367212,17.850689443269115,18.208143275730045,22.491699457913956,19.59804989403986,15.094481885266305,17.998977255710397,20.178990986907955,17.041932145130705,17.91229004629361,16.860090524006992,21.02998070247236,21.884947741485977,26.276462956078568,25.48358304562751,24.48390586751771,23.548945649094907,19.306184707924803,20.25489726700648,18.02983185769264,20.024633442905845,22.536882119081227,22.41641594877976,25.9480368280436,28.65987069226565,29.909062766130436,28.33320523343006,25.009006413381428,27.370122922492627,25.379201787536182,25.39712118050994,31.647764446936563,26.780900549049445,25.658410386440604,30.00620838142131,29.70269717136654,29.53309723051065,29.165098632537962,32.83484185947633,33.32630339460462,30.914467429878986,35.628594738193186,38.36897289211088,36.04836348429282,38.95841106090866,34.50069887913291,39.737006163533096,40.0219257505371,35.46577339826069,35.28313005318362,39.23156573677529,38.23417861809508,33.090005256786846,33.828517199897725,32.194319243386374,31.704738672119078,30.154150439815815,27.83113297362029,22.73872566803362,21.697948571563217,17.032602328652835,16.543270175500226,13.815452635449876,14.678350909650135,18.435324949313262,21.026668231113035,22.77032472704065,28.239317743700596,28.520041860923,32.33851860607402,32.174877603441345,33.495198985831976,34.13711885894857,34.62473216919328,34.88548247446835,35.93091442538334,32.334275484564024,30.267936387375133,29.273937969660082,31.473617821330055,27.82106639120477,31.468616870603636,27.666351355350443,29.11496213695531,26.93488379981525,27.158510375842354,23.606494603956627,23.985330169801355,20.914581112964864,25.775587091157547,25.935563003812362,30.90902980254082,29.606978011860807,32.5911623602004,31.27072979493598,33.21893142267764,35.6998702025969,33.58374797422823,37.8851313839632,37.33676861069053,35.292906043758535,33.9651938644569,30.694111846743706,27.13578757736673,23.688935177343637,21.058267382525152,17.21260117068192,15.352939509472556,14.584088682853942,13.347489295764237,13.257154913459514,13.579192589014514,10.390140418071862,11.384540561558646,10.933068693176587,14.003516191271656,17.197353253561662,20.395029174686908,25.308125085861885,26.382098790467385,30.013330027919842,32.379875306322774,33.60549015334451,37.70280611691102,36.10738395828201,36.098256897021386,31.79680738824077,27.656384893020288,28.732024408389577,23.702281213472624,19.82560989841552,19.750504851929016,16.9915675233094,19.414360237290957,18.292204610873192,18.9147834958478,21.70675690995947,20.964817510997808,19.72861563200502,21.465092985177066,24.330727629883658,23.655896465776895,28.123179955107723,27.746690858877926,32.93975087479253,34.20528820639726,31.269080994379895,30.750159201610487,27.046931586746652,29.416332661899126,26.49621360993444,28.85113127952053,26.198430641558026,25.231157597751867,23.301727038539184,27.03505945897499,28.51919982862258,26.089169630246175,30.569722785911857,31.38777704051245,31.420763586141664,27.395492205448228,28.763649338746795,25.686376570182166,28.513491171836783,29.702870022237146,29.971701286746136,32.111245009846236,28.99219717338765,34.474990389061574,32.97963739405848,35.49652351959775,33.33901178949207,33.151210465995895,36.788742220313985,38.27812382655031,34.70071741864731,34.65861842515527,31.67220406146637,35.72919155452998,32.49425117567137,35.94773226718937,37.58208387281639,36.027361911183604,37.242809388674004,36.79718611014696,38.64187613258942,40.58889329384475,36.99943716470704,39.633197845695605,38.976338011302644,37.98585356646942,42.40873399723807,41.42044739176169,37.43191905266164,39.64959969522021,43.32037512624062,40.01582310914373,37.13218189512957,42.02137943755934,44.56265001488926,39.48169854633381,40.84559571638891,44.51758589483954,42.20969953470201,39.627453433648334,43.67670164051818,42.435835252482505,47.92589236583143,45.98781203443957,45.99639303220245,49.75455002011311,53.29426520959332,57.796690425462494,58.0724702102314,57.4750912385369,55.38721458777981,56.89134001713711,53.47999505333019,56.3570461612293,56.18445975442733,50.01881233983307,50.94446171332668,53.83189298613151,50.44424683065704,47.35401890704761,49.075651461876035,49.759272767301525,46.20201014481772,42.72943049065569,42.438687760444026,43.31766368692616,47.037258960164436,48.15997064729458,49.09939301694672,52.53261137228379,48.57461431483207,45.75446313337072,49.67423502222994,49.38227267615108,44.39589260723075,45.513508920018424,48.47858502759116,46.72612498488692,44.66234570242098,49.605292149056794,50.28302928905038,46.99068598534476,48.33411981794737,52.14141953844537,50.578785994791524,52.35943151784308,50.062828263121034,53.27782539829298,53.24739020955516,47.479242969081696,49.32044540712605,51.57375514798413,48.910779861122016,45.78481291493563,51.23066420027664,50.90851813277517,45.46171040967559,45.87860237183254,50.787331298350736,49.73159081159977,45.693311476851626,42.00989269348489,45.450630115708194,42.006113242234974,44.506672748494786,39.39177026069871,39.313335060507676,36.26641586063713,35.04060528578549,34.90203917010086,36.52437244295912,35.51172231947812,38.12790515387283,33.39166851869342,34.70409561269978,30.222173229785625,33.915448221701396,34.929726057322384,38.65099763332668,37.91555062888514,34.577342113658396,38.564734885864404,41.04013261971015,37.17302256107404,38.16267274306399,42.59091949333135,43.496421869901695,43.850986607794646,43.378588310611484,42.21146361637274],[32.861165846156894,32.00170841574573,31.22046234540192,27.045974131602122,27.30956803229502,24.801751498541584,22.240138525434958,23.96459155739381,19.85345834019686,16.459022783641256,16.044939832963987,20.22125933751477,18.462662987674868,13.577992565424271,16.165695450506405,18.93858082694555,16.848588540533168,17.969597026609634,18.0037522044182,22.25651554981452,23.54959037917113,28.173745634649812,27.708679159373496,27.280883912627793,26.122512885602298,21.706032805489084,22.307541481690077,19.50910807909642,20.528733032072658,22.303665023097594,21.27906534980322,24.84443882531063,27.0904616444377,28.72290828293916,27.702468120376146,24.940732092264373,27.287278828305165,26.321995599679244,26.931147307502467,33.35888779208139,29.078169830139874,27.635073581642974,31.990999069989844,32.23508800972071,32.512438829017384,32.496980778363465,36.220887749537106,36.229002948809395,33.82823542061102,38.81513273722265,41.20014830010493,38.553824003023756,41.17415139406525,36.507250765989546,41.3588239498241,41.90896902604579,37.454402753990124,36.639221830555584,40.58227769308389,40.13413112108255,34.76099165785835,34.88085331777856,32.73488546150398,32.65366742675093,31.58400222159889,28.931284433785226,23.72818413265753,21.99421695624164,17.371900623839874,15.737764249476575,13.30494256676254,13.68453568148101,17.330708478786974,20.844533539387587,22.180214240129466,27.66137557191187,28.596791017968815,31.952303366657592,32.26028658117314,34.15538145633077,34.57330294010825,35.61730543263818,35.40698665158102,36.977512237374285,33.755640772910255,31.14690003516094,30.20560914457105,31.631924533399964,28.11819652425688,30.928196896277424,26.954250437194954,27.962482907851705,25.373363020532118,25.273238365692407,21.66181456848471,21.351167748251,18.241704232819785,23.63946857913286,23.851990500443016,28.687852348480398,28.190120772750905,31.444753054048352,30.744698449750963,32.892997539641186,36.15199898076866,33.942275145186585,38.321647819390165,38.20228542595301,35.966574803622436,34.174242244537375,30.838485358541487,27.571483397348164,23.614384852000875,21.753707541220578,17.546574269969522,16.70161539063382,16.037819313543533,15.961132609459037,15.57316530422334,14.499892413270784,11.491902975110078,11.701331602477788,12.513944352436527,14.90473616480236,17.387274016641445,21.476196064313772,25.587403337009153,27.263749419569347,30.98584695509532,33.48674308852426,35.12093379849124,39.18991297016383,38.031084317489096,37.5910753451305,33.71669734066462,29.389705994112106,30.758830053670962,25.835807450044822,22.197182287359418,22.176116031860087,20.37105024344556,22.95061291433344,21.18253972946637,21.353146457110455,23.880117179188332,22.257168287651496,21.062524740620237,21.919214230124044,24.557974821196794,23.141053922803092,27.43149371292109,26.21236404608532,31.370056410433634,32.07696852877016,28.915159507115202,28.97656509885245,25.61225087145251,28.527528760377436,25.921976800826965,28.97960217266912,27.22305282743781,26.25767157130837,25.293767210140683,28.888113904632316,31.043945558693757,29.073162203213137,33.42885842194094,34.6912772500067,34.46926108761907,30.34972886278487,31.355237931716246,28.054790737506544,30.571156842381757,31.296932211689363,31.111262852105423,32.71270940640957,29.197494068000328,34.67232593334259,33.87902993200319,36.39214319439329,34.94228709925103,34.269177447011074,38.46614223431093,40.32277680190518,36.868132686093944,36.9631582350907,33.89616710380199,38.384461811944995,35.671062977275064,38.951757937250186,40.713248331652814,38.792271183548436,39.999178940821274,39.32613849132622,40.96133617121361,42.80012238784568,39.04981377755737,41.329581230768596,40.39075257993419,38.96992471958747,43.25026541148149,41.820766087315235,37.86405403489444,40.247783478269724,43.623184606746,39.935209344004384,37.322226162853184,42.15826730700207,44.24099556077267,38.965874443025676,40.474068931132905,43.96585404437841,41.26294730314319,38.7657902691347,42.989978898902486,42.13135814621329,47.48448193267954,46.273648054412135,46.21904475416773,49.79971721822983,53.687368686076155,58.026029703608785,58.56653792638894,57.88490698761238,56.00905644150862,57.60389001591397,54.19360360178208,57.3941376543409,57.24408081150155,50.99698272832668,52.106592343871775,55.315832404228736,51.87364892012728,48.80051130796681,50.806447975994594,51.63929499140126,47.9416064404835,44.64078069505216,43.81082951821326,44.57535067060558,48.22358346776809,48.89713959558025,49.69534006431315,52.8027402036333,48.784744380497806,46.15349055567466,49.722225656442326,49.13642321711047,44.168475390840165,45.33244931332084,47.91143603838301,45.89746823247096,44.0135992876776,49.00355252760963,49.32600853621596,45.80843623029511,47.53254622481585,51.426665522286406,50.17089719184504,52.15573426012472,50.06404150638527,53.54411827961806,53.342113904753894,47.611279066589326,49.82384998955001,52.14123062717202,49.380724605768975,46.57333701125469,52.24059224869078,51.85124772245189,46.39464208066978,47.18802339462687,52.16989424994107,51.01809310715459,46.93397020620095,42.997970514396144,46.66033087824836,43.019059180093066,45.09009850932863,39.81896137917841,39.60306679161149,36.11285320087693,35.25893534925255,35.48268441301808,37.53473388986645,36.72223632432294,39.12044241725059,34.28200622888614,35.700188504997726,31.040987534539237,33.90623343558352,34.75061276943738,38.37063108725114,37.300239290750625,33.72610412729388,37.7431479005646,40.03953140028927,35.78208753825772,36.773827021705294,41.29309649039075,41.858136737574654,41.99130064846589,41.553818884140064,40.36679106698976],[30.142994693744626,29.589574523328913,29.42887145245299,25.118153767007133,26.393386779876955,23.554675281038584,21.690845468984676,23.79625971740235,19.51774747777995,17.034277831718075,16.90220338938043,21.065887764151643,20.143794768393676,15.265283379175507,18.53252817056231,21.467203758472603,19.69181345997723,21.541403978242393,22.078049327038052,26.15874957260503,27.723249023435113,32.30000461101711,31.941398216388702,31.373928909636323,30.06134555652064,25.631458348735347,25.900389429714394,22.83652299877172,23.812144209258854,25.12151643594611,24.488395278554858,27.471623877435498,29.766548490031425,31.913626267551503,30.904701837638317,28.387627014693106,30.27092360144246,29.722085887327182,30.219519090547845,36.692428826491486,32.443834895950886,31.409325559688014,35.84620400276521,35.95889341059656,36.280686238781115,35.96962320542858,39.786771282881354,39.91459873375889,37.155576835694504,42.0470723957675,44.59312040507944,41.99978655092525,44.834899648195965,40.02236477140623,44.97207856541481,45.785410595762066,41.35887006100276,40.48868411504863,44.567418666836794,44.228952668325476,38.895508179413746,39.09615024439324,36.86991716422792,37.00103824410645,35.875672629259476,33.065798357609474,28.02493075908507,26.074146185016314,21.615395858600575,19.639737179042307,17.450703917337595,17.80537972585094,21.324023517889064,25.103074936764045,26.138847341629514,31.680872440460153,32.64017416138876,35.81883312579158,36.099541226395495,38.03577677485547,38.111501448045765,39.04630540062659,38.39556658800294,39.92314265327353,36.730860189258266,34.2269669112953,33.72589943944042,34.92084262950568,31.831364292187402,34.47704248129903,30.615364322142018,31.654138683039598,28.787054797390244,28.27457490791404,24.40123234012429,23.77059948505275,20.33089222800493,25.725279994712036,25.434762346258786,29.722069965495162,30.076824638419282,32.798081030170955,32.781781436716365,34.34293892528379,37.854299332402014,35.12391553851576,39.273632220200014,39.05753260916226,36.367297217404484,34.70569366008586,31.00889502932952,28.3509573705372,24.129906449680643,22.772840911593565,19.110313305191557,18.494257005277518,18.763072892223306,18.712087983983434,19.37196933024897,18.089966748738803,14.824515428464045,14.175533719446722,14.187693316444681,15.863562781926818,17.58854833863928,21.970659116433417,25.411100549468856,27.68759297205891,31.443793832657175,34.50285721133943,35.720019058927654,39.99237379736259,39.196366963195175,39.01358264468646,35.00030348877583,30.596457257628263,31.339168499767453,26.729758882192215,23.211208379055975,23.904191619504562,22.43075152322503,25.648638738225902,24.232198399656266,23.998986951169005,26.821714370614664,25.10063394191892,23.46414503104851,23.928029686355764,26.080635811642857,24.086417056374618,28.01289327774076,26.460779872970786,31.715162302843506,31.846858822395006,29.207570168880167,29.803810394576917,26.753618652501615,29.6225741973982,27.655835631058583,30.428980582773843,29.046497963985377,28.779418684423135,27.698595722804686,31.625628850832157,33.469572057163965,31.191798856262277,35.28335559903166,36.45031037274744,35.761630303007024,31.65299435537933,32.724015026816495,29.653432144297504,32.606609523563286,33.46810708323158,33.46575102088599,34.90211746811398,31.572147370049294,37.11417049504858,36.52803659032848,38.79433520978312,37.3335715636397,36.06668679453897,40.40962397965591,42.37944001874718,38.98092070187194,39.63275340438634,36.901717794912486,41.39445260267996,38.59956232503962,41.58597880250952,43.0598934988652,41.04287119930022,41.81553907910778,40.81753882638173,42.20250554694485,43.67483730502571,39.61430368018057,41.68764750635816,40.287487637985606,38.98320966156518,42.93975875701689,41.55203275626144,37.51956626402613,39.48612975121442,42.81913839879568,39.03426542997658,36.02892808853203,40.819032605209074,43.011666184934775,37.41656653972701,38.65558021398877,42.13195642097226,39.45128344709912,36.602927380056876,40.68461963005628,39.93217414178085,45.35455817100966,44.20139053504079,44.465603670901245,48.037670389510815,52.150136316063374,56.27829221477651,57.121064572629194,56.76718404942102,55.15832225865757,57.027120863435364,53.895616410537414,57.1966254924902,56.71263406300123,50.48197985780021,51.965027507649516,55.08066147665254,51.38337610065541,48.55318814269815,50.8808675764858,51.32797597134856,47.43135060450932,44.70684450806623,43.485920418626,44.804494725891374,48.380849826634744,48.76098707089541,49.851495370440915,52.82272486450412,49.04448544223762,46.182461346905065,49.38775909222099,48.99057001526748,43.980608191664025,44.72975759856134,47.20523096315396,45.13112037560383,43.006645367101946,47.89866233722629,48.14316610119323,44.36901847477213,45.98256801058991,49.930690459121806,48.72700200320279,51.01530315163699,49.23560211229613,52.73457194278188,52.115810907749065,46.41349691762628,48.981599977675856,51.00498047567663,48.04676239565115,45.57643360085008,51.2924308408592,50.50294200445573,45.04924960501302,46.279223938975846,51.11149812469187,49.600619138318834,45.47057514061182,41.328486693028076,44.808369658587544,40.90524300142413,42.87708806791451,37.603038732574,37.73033002027596,34.109883800075536,33.01738520715002,33.62855892429056,35.76340545451084,35.37898242766978,38.0081876540036,33.48058616711858,35.40616044743563,30.79849580460839,33.131694100107104,34.44591082393491,37.95669806966639,37.180743075908744,33.12559336306649,36.76584573539882,39.34048326507275,35.23989046251767,35.47225012525894,40.095278921429994,40.810179207032334,40.877575911937555,40.54474530844862,39.38191923296525],[26.343610679849938,25.990409031728753,26.121843473308086,22.035118471630895,23.629061155411595,20.121444507375084,18.59143859802316,20.607044540401496,16.20009874167295,14.496368437078278,14.475562447700572,18.45914630889545,18.333658095522665,13.720943745902565,17.434463000926424,20.39451635534572,19.148105014512257,21.785702839209318,23.285222973807777,26.979925572543703,29.143785581133432,33.637488101023855,33.731590347250396,33.3315813215066,31.525078740800215,27.066577270358113,26.670611544856506,23.154992643414253,23.709674890617684,24.31767513140736,24.142128104169437,26.33345463486008,28.698269107282886,31.431043792299548,30.381820474938515,28.251475958700766,29.53543873946293,29.704930610025823,30.287168703377155,36.761512518395726,32.931206040113175,32.233525115538924,36.71322095051987,36.961615723087306,37.69360526277365,37.31225438360415,41.26120456488473,41.09288926003108,37.93537941342887,42.89071626737056,45.292740228026304,42.56300624107368,45.4520102703211,40.39529907400751,45.23500862928955,46.52531329182949,42.233691820668746,41.01788940126855,45.275423790276044,45.36068357487045,40.0526655275084,40.2286021009184,37.789644808379755,38.51854162480944,37.334410734311646,34.10750212940572,29.517506003137562,27.028577438762344,23.058179986474673,20.50026585108794,18.878875014816153,19.72194736129054,22.61064413492979,26.70638885137591,26.962566855779173,32.66096536005254,33.42527016239974,36.28360867847054,36.44553214588138,38.46993052227274,38.00201311420972,38.91626167390769,37.6561673522197,39.27763570815454,36.30952651939927,33.747648651685815,33.76772307908735,34.49273719392417,32.04130750447077,34.40142812430728,30.80635790321954,32.090158723861094,28.871728150457795,27.793009807578052,23.605086007202413,22.873326914133028,19.075144856408524,24.155052256882332,23.345283090890582,27.09085774088692,28.14080950054716,30.38233940798687,31.01124151298147,32.13142376141137,36.0079110972304,32.9502289758979,36.94043682470133,36.87624402021168,33.9223293422894,32.12524217846867,28.30090692359107,26.132108575781352,21.675927843162118,21.01109684346539,17.714961372234306,17.784254074384247,18.74131639065579,19.350679858072322,20.816049412587986,18.738939625207145,15.533062591324395,13.909653217412774,13.989923594791627,14.675580715019345,15.45895506806867,20.221056590414133,22.781349408142532,25.557491105030365,29.279822514845396,32.60118235262578,33.85586402411998,38.121510613215,37.772562194465124,37.4590715564804,33.702420316025254,29.242722122903018,29.919046983072256,25.64050869925186,22.49914127166654,23.506507047565183,23.01498003933495,26.637202527653965,25.02056909263077,24.172036237462237,26.971367662999292,24.785994126427013,22.871664379154197,22.64759782149124,24.28736278334766,21.718430261345134,25.257990542122066,23.343163520529703,28.571760627416147,28.330857396028048,26.037166544365412,26.991587328978195,24.253770500823627,27.113100257273246,25.732583317690427,28.430765672703583,27.701530615676216,27.961783167239577,27.295545340976233,31.29778359235298,33.267624017371986,31.18513726037837,34.93999544057912,36.42285894570535,35.31934557100189,31.219987544358528,31.99157258558683,28.94117220459948,31.862364984186257,32.53205005985582,32.44851599168832,33.51677140570158,30.28017238826055,35.783277826943056,35.606143487786206,37.62564148621351,36.49122051099467,34.591417351719485,39.24451542530539,41.4730887125622,38.23443469857994,39.363018765359165,36.90969925188204,41.617541829648474,39.18688328845519,41.75663545167834,43.117096538708466,40.76638676296402,41.266366087930564,39.94566479029958,41.043551958956755,42.27204372412411,38.047293721639626,39.76799476784991,38.06713532754598,36.535284239257294,40.26547226400707,38.657732232624156,34.667830502931075,36.606625604935026,39.72479519862134,35.755844659540266,32.87230312281526,37.57150703374151,39.519159135943035,33.83224533372129,35.11699717708992,38.475010138103166,35.6354023057474,32.835543242823235,36.984406911868206,36.43773506361939,41.74010771641499,41.036851760706384,41.22642399172351,44.665398155398385,48.96278790832012,52.96722926804286,53.96927915816714,53.589388879318946,52.14537871246626,54.10553603309094,51.058590503897825,54.55196654741206,54.010616285425094,47.77534571045207,49.44555177125846,52.727306644981574,48.97724464401894,46.227326679740884,48.80557287969063,49.28807742541009,45.29586693171624,42.830515694118304,41.146842876917766,42.51779586976401,45.990808268787525,46.01839101059203,47.12414377529454,49.87114868525774,46.186864697130105,43.34117152209403,46.23852954959269,45.79020772216257,40.80454282317264,41.43058185353865,43.704784517686555,41.53299674686336,39.41885010917212,44.28004838714274,44.37839228609628,40.49416175780425,42.21815811521672,46.19084217592888,45.13087648983657,47.54502682741091,45.93262071043804,49.54710305845076,48.77555102933333,43.13235855561875,45.94268673286165,47.95192615626482,44.93989336308211,42.72033423242998,48.541794512110954,47.69686416748006,42.28341382357652,43.791346542060644,48.63097695526578,47.07323237009151,42.94890417494528,38.67059777130772,42.337008578568486,38.37447379675713,39.97925160557514,34.64067512089643,34.6102305998699,30.75120966386616,29.96608082316441,30.784500681737054,33.22366428359033,32.96323097789056,35.37499798780728,30.874907267764215,32.93703324668052,28.31762915049016,29.994571874082794,31.349351736792293,34.735133879403556,33.956947713062384,29.6751689772361,33.1676298687851,35.747638216894345,31.63860720954277,31.617285570973525,36.265317584610884,36.94337532097634,36.955982744964125,36.672124037006455,35.541805527263],[25.072168315547668,24.663715104990235,25.0474788775996,20.609116393908057,23.031767189189285,20.233033407750767,19.36494957107766,22.158289755778465,18.222034566679575,16.978770843954027,17.721469549014643,21.721645593539034,21.31526308035258,16.935473856105638,21.160378366740087,23.885311963803705,22.14409793651769,24.981586770080092,26.084449935066612,29.728272014720805,31.752809743610296,36.11966373649768,36.038863512165854,35.212492123011565,33.494546884118854,29.134823327326032,28.784326245230925,25.450222968116826,26.562258793584903,27.381230067382997,27.889278833870907,29.83957336074416,32.511113964816225,35.27486318123398,33.918541137866264,31.55874765681524,32.62894752282247,32.39728163091734,32.54694163509373,38.94189204956301,34.74979952130379,34.49804334825007,39.02515107876149,38.84273024079008,39.29658015639621,38.48879745047677,42.44340110830452,42.69610315167127,39.299828203483116,43.982540213593325,46.74900034748464,44.283493736744376,47.507000302625094,42.49766566449798,47.65555514609432,48.9311690583645,44.579426495490154,43.73886306365108,48.08179943176245,47.864154748348746,42.70645566828477,43.281688724491886,41.09302901152521,41.63847762255249,40.16729337613386,37.07062973273989,32.52946790191648,30.33301930759316,26.268000619441054,24.132806656733678,22.302665900183424,23.21849230646677,26.365367261541465,30.185850804358395,30.65978290870468,36.42873796190697,36.91360391800666,39.988074695003824,39.894950080814674,41.61979923604257,41.11792660147948,41.62357314721695,40.39534706523524,41.6414507429796,38.44174705770053,36.304100782027554,36.55072854014458,37.62949815032226,35.28813816447985,38.06532795177438,34.56392212848635,36.06331369408991,32.93117733292327,31.882448741241813,27.598039968497186,27.077676411481686,23.16707087855758,27.98981152863582,26.8882010010179,30.36370205665363,31.430310068355883,33.12189453920401,33.804968590875596,34.35243676132801,37.85721805819061,34.44500630075617,38.161510435765315,37.679292884845616,34.45853982990252,33.158657349473735,29.067988894372007,27.244860424369925,22.979498514216388,22.16835446985629,19.59639729972511,19.138137892097333,20.68417552688712,20.620640402821714,22.855948194585203,21.418563796785698,17.94211822350585,16.32627776209358,15.12501883618713,15.686476404884766,16.323376852605797,20.6003091842107,23.122556983720155,25.987706235979154,29.65435355021969,33.38372198503632,33.91753433089087,38.38763635026219,38.047964165588006,38.296100480239765,34.11030786762402,29.74299728905656,29.58182204136064,25.56507136271671,22.397252623408285,24.025869475805038,23.208158008853783,27.20824517261052,26.28208890858352,25.430353499617336,28.598124408157684,26.912028567584287,24.671131759496635,24.75622529769382,26.188750238569867,23.728707700397006,27.077995515771743,25.55936821960609,30.847891141899527,30.54882953532708,28.88155799306855,29.807881063890587,27.073389173265017,29.486605944090424,28.356107907497183,30.332150823165886,29.257764222414018,30.042508203329255,28.643081527821405,32.97524266452574,34.23765877411063,31.58338856186747,35.17038530942928,36.230412833935866,34.87853151909038,30.89145319454294,31.988147705019674,29.337165962714735,32.84353740098619,33.94932554026249,34.32581844398198,35.64267764819822,32.81203464911401,38.369149594146855,37.86182057979067,39.70124217235023,38.06521188260474,36.03855996309326,40.3934468252082,42.44365707820675,39.17448824740351,40.655230252455375,38.520973381599894,42.92095283790438,40.070438756678755,42.51388294628704,43.53096756141053,41.38176626903624,41.50244687834539,40.06078746490947,41.0773246000753,42.02843520804264,37.630080938329904,39.426176276218705,37.485272659983224,36.42687918743294,39.93675319490031,38.7376243869348,34.653901698093975,36.01208353484608,39.33201581582587,35.59120908870265,32.049299455480266,36.74573737400585,39.206695414374806,33.34882356180955,34.20262319812191,37.70464935446836,35.24080464222198,31.96830902343152,35.79682464792397,35.02785626973778,40.540385326374285,39.253671150522536,39.866485736419435,43.45533078852998,47.70459297341726,51.63035530456113,52.729325704466355,52.76944955553097,51.43208815840247,53.598800499630734,50.83725202927706,54.16550821578276,53.26759995604172,47.119037483214115,49.02051280883164,51.94335080284951,47.97227314662165,45.46177560657991,48.1395816791021,48.09861027676384,44.01146008299236,42.00975368951018,40.36445548517239,42.392194574276196,45.84903508371917,45.947397226888924,47.45129963329744,50.322528426778845,46.92238219127675,43.71077084927254,46.525001983259166,46.49829612086863,41.47045303492098,41.64655691007966,44.128996909860994,42.117102040989906,39.617435834669614,44.326788163988375,44.64031307855814,40.69178113987259,41.97002197131215,45.92027307584302,44.65608702465215,47.21701455147978,45.75995343978921,49.17077073339708,48.10644507225373,42.463459591417596,45.33704482156725,46.97957525255404,43.835417319359145,41.70967773389859,47.39880190795794,46.17426382134305,40.765205608662455,42.43584696650241,47.050062974717484,45.174769527005495,41.031546442426404,36.72523157742363,39.991608303520266,35.87516725305651,37.75735318711658,32.534433841967946,33.03915006798255,29.42245160581919,27.997247931079393,28.95305973000024,31.114464505494126,31.185983634681655,34.05837976531395,30.001075268837617,32.51035129912915,28.112129249077984,29.912988360662602,31.893248036803328,35.24082021730519,35.025406597890274,30.4980231904634,33.565507141077255,36.567064080775495,32.9556085853617,32.17783270420202,36.824931840420476,37.940624866093366,38.06618330854495,37.87558473598392,36.7837223251177],[22.95439612170294,23.1364545558457,24.19335237753597,20.26876479266256,23.09078722855062,19.064820117084643,18.618709757212326,20.808779183855723,16.56430256753119,16.331434804774158,16.58033723591921,20.031745517538518,20.930016323624965,16.878696326950262,20.792528196385412,23.682996808412337,22.880057489721075,26.030673926681246,27.990665096480946,31.441180694153275,33.87726210601104,38.28238306700493,38.55328166485436,38.1116762000301,36.107670938429564,31.68715739047787,30.943718108264804,27.242157215927264,27.637203890311696,27.711651810974004,27.910826786780923,29.39359796399476,31.7206983489856,34.93774780529748,33.925618336212494,32.136256273670604,32.89478023980777,33.57365695618599,34.097443175754265,40.48870597513645,36.86732092850762,36.540411447193115,41.03258668953334,41.23046817433885,42.09866439509623,41.50536382897878,45.51867711469242,45.350526971607266,41.857615670621364,46.71295811932139,49.16618430823932,46.455898580774175,49.48754404002614,44.29770723406419,49.12454441810815,50.74134842168294,46.54038760342773,45.1890926716328,49.559654989079334,49.850507221729174,44.60694842815653,44.81586114496348,42.27549631290508,43.29776123960127,42.08077428957158,38.66951178967479,34.326128677491994,31.609985935787638,27.88926470136799,25.074999774360062,23.71735138999318,24.587676149163993,27.250635260682404,31.514426615653683,31.421956233587085,37.11378061567256,37.85083049235864,40.46275887839113,40.58360134040179,42.65001785014149,41.78646044466924,42.61225267957652,40.85007827322687,42.447629471803396,39.631875972496246,37.17012869806699,37.65602417904854,38.05459756579187,36.126290680233936,38.236156732572084,34.84991757648894,36.182433766851666,32.73759742563816,31.241230609742566,26.93321783860001,25.95636998938134,22.041356081775454,26.73596495318062,25.393405367634617,28.266468752813093,30.28593328335424,31.822580721609665,33.25678442089018,33.694292585897855,37.827071025691346,34.2811607157837,37.89405548639957,37.813009885371855,34.41249441113093,32.72989281402788,28.650919874039595,27.354071717552678,22.81230945167013,22.91833053080277,20.435407179579755,20.882010209024767,22.56754689586816,23.315287211293995,25.475028366182126,23.19807424029315,20.022313227092212,17.88585874668119,17.504855835306326,17.328610268682482,17.029357164504425,21.745271780919175,23.112695620403667,26.527116973835664,30.102074310352215,33.9143833466789,34.7792097117348,39.112532325460286,39.26813719007467,39.12927418992403,35.45144621333336,31.04730276964667,31.13604189419444,27.434534057139363,24.692712260480903,26.300609239248438,26.356916616124828,30.39321972450531,28.998050235984504,27.752907884492863,30.654786030608406,28.338717417976135,26.119497034171484,25.402481356361456,26.395734655100018,23.26346398800927,26.101898583105687,23.79820607026661,28.84930221757546,27.855405332339508,26.34007918410168,27.92558490913731,25.743072306459187,28.428497629634986,27.880903215673495,30.212826717542253,30.066004619251093,31.024832893834052,30.43056545695086,34.58260448694335,36.320849939545006,34.11720906596169,37.467469844176755,38.94895107689211,37.34820708201352,33.37282941373247,34.06920112376843,31.30862831759014,34.47040500971578,35.159682643755424,35.18920386890387,35.96731382781742,32.994053646356484,38.39109753093656,38.528634961802105,40.228960784766734,39.22923694470943,36.671439872540404,41.45544351423178,43.830644795487224,40.753629352628394,42.45742397340531,40.38323313289102,45.094360130674715,42.752158754177074,44.93498532221896,46.01650134751804,43.51384964469633,43.56211309650305,41.88213110538464,42.63897652218887,43.429215400331586,38.94886027264837,40.30099950865319,38.07766209194078,36.590927865834296,39.822679942662816,38.185036050746625,34.23813459365584,35.6990208622532,38.60208366064467,34.524614945160316,31.364307218941466,35.86055594050216,37.75832697255373,31.789462536650433,32.775733922220056,35.99212221264825,33.131494463590315,30.0107184735416,33.96737820342447,33.66990887472484,38.91015978700325,38.523922169234176,39.017198233267806,42.33038279449034,46.907803858256315,50.59696450690342,51.97495731682221,51.916010446919934,50.83362043802884,53.084172240848154,50.381184486429255,54.016597589789164,53.135311948963974,46.99339229167486,49.08514247743747,52.31157199095998,48.34079785843858,45.89961850663134,48.8538124323127,48.979626399801965,44.815856010506984,43.05097329525861,40.82691351070547,42.717769159371244,46.01955793595214,45.610708696593,46.981915780282364,49.457652380216174,46.09569017861457,43.08907484270131,45.44207094127995,45.15583632790764,40.229000794888876,40.37553518250652,42.40486972630519,40.15595984911858,37.839700083393005,42.50625425418191,42.44313947960337,38.283105727926795,39.92826974627094,43.92128779292736,43.006597697880814,45.76968626200536,44.57888947181592,48.222679595299155,46.96495634609379,41.45635594536438,44.70646265295127,46.38629402221508,43.18549290478868,41.467072535947146,47.302935163361525,46.03927504506955,40.7260916529217,42.78417503415516,47.40598825496112,45.48653212723371,41.378342505552915,36.89123540161958,40.39443436835784,36.18855585979648,37.46765329041347,32.18432453512582,32.45108276371771,28.401650570044254,27.537483140239683,28.886779390142287,31.515230409462745,31.780702486907273,34.261471138127085,30.222287736029664,32.78778886502417,28.377905474205352,29.128801040359274,30.93588332433106,34.05121288068576,33.57626996251445,28.83370074363032,31.749449008920994,34.55506012647455,30.70601304515643,29.7457675783593,34.404964202647655,35.20170799771899,35.10990772919207,34.97384462290678,33.91778565882941],[20.16756937564085,20.1463517505374,21.46100558770382,17.17093889697347,21.08069565359131,18.205050903094254,18.694364687312177,21.877893152075348,18.551581052413127,18.814377918673756,20.114585410549736,23.570507875514675,23.89162998623871,20.256870493759894,24.847496034262228,27.340498369453176,25.88776813789334,29.39359666142527,31.034376189839442,34.26855027867601,36.678255272667336,40.84787926858264,41.047216278329984,40.11742214488258,38.06102173046274,33.81109189506848,32.93160612980048,29.41035995322788,30.441265997809417,30.706240720848424,31.99211250776529,33.01436531009355,35.844545226186945,39.13628656395801,37.607113090852664,35.53320012031114,35.88025317920778,36.09955889312955,36.04995872011387,42.26116988839574,38.31144895183462,38.66788217698603,43.193633946067884,42.860649324387175,43.50099694952324,42.351173139993776,46.37546181225245,46.63869474369199,42.744073305767266,47.217124862226555,50.07099411414959,47.68941461738047,51.16144315345743,46.006652531720306,51.2075957026364,52.92888206946743,48.711105035762515,47.79332225443108,52.31706986113376,52.30745905500333,47.31026151297683,48.09394652297002,45.87533686145786,46.82772010104898,45.160335110810706,41.81068411561003,37.71493415587962,35.26412915259365,31.581999909132687,29.238225125371212,27.74661970873942,28.970140942387165,31.775230305478253,35.68513574820392,35.6614248043846,41.524019636314115,41.715310830545825,44.58680968678894,44.25493629028312,45.8715632250214,44.83688593377031,45.055089731053904,43.24303895248867,44.305113359087855,41.23925021538629,39.37952031528015,40.28154650854155,41.10277610025431,39.47404196288097,42.174226396516374,39.01187466141151,40.7963551340958,37.438803263928484,35.91837775179172,31.41552853694413,30.890824603859123,26.764807103597175,30.962713148445417,29.1922969932849,31.708452303622,33.57296109562046,34.26635718102433,35.726385258083326,35.3150842821028,38.86765335078237,34.86240025875515,38.03230530951585,37.38756695767448,33.661132771191205,32.686858863070285,28.327745785197067,27.561836592685236,23.41448554037837,23.390109581779708,21.982091322828243,21.881499637779577,24.34512420759827,24.444961578166648,27.67318476268646,26.005433411670857,22.59302225760731,20.348341086825474,18.575407992592005,18.04256251172795,17.410334219328107,21.280277041128734,22.392682652582636,25.859950774318346,29.25366809051512,33.55864293219007,33.46020904828585,37.986732070438,38.22956202524977,38.80678149384003,34.67657434233816,30.478979308460108,29.47826427510857,26.308523858982213,23.756030868940677,26.13897369654473,26.113786394114513,30.58915997483963,29.982864402580052,28.591191762025606,31.86964050558633,30.13100507383367,27.494498034233967,27.08700328345911,27.727367899285305,24.8158977879485,27.324063736933002,25.734188013657615,30.77413813678886,29.888427227903282,29.286837437529325,30.637105601068004,28.424947018865048,30.381604360559546,30.181782756573092,31.443249508311737,30.89745666565067,32.61409098001245,31.165154625756482,35.674737593383085,36.50563696844262,33.6900981056058,36.66372899193753,37.68946423416617,35.68566528567874,31.942989916616305,32.93737270975725,30.75065732632976,34.57306039885139,35.77615908940847,36.40357114678309,37.46157921406786,35.109550678368656,40.51498180926578,40.230320540048886,41.62541968293276,40.0080584446889,37.21436675754313,41.57981584726185,43.73879354664783,40.696873457335236,42.94785970045267,41.38556288919115,45.69805428191943,42.95726000194944,44.826068355716906,45.42716135627341,43.118108126923644,42.610689459281666,40.719350455511936,41.293911261891786,41.66533609371687,36.99498997149038,38.355975567644414,35.80661486803315,34.93830158852205,37.817415832746114,36.743854988472854,32.72834419141085,33.389070423894424,36.527914509803516,32.82661836549842,28.81935407334771,33.259215881714944,35.858272238898316,29.760713355061625,30.15240137778499,33.56158416594745,31.299608519278667,27.582409588299168,31.063852729268522,30.404704070015637,35.9081471969741,34.69577477831896,35.70682117875717,39.20979191855854,43.66828323514057,47.27393268595818,48.73125778633503,49.195267015508215,48.23665043841009,50.73492459463003,48.419145371164774,51.815089783668775,50.479207587366645,44.489405774362524,46.87195518591484,49.62560167824627,45.398290629716215,43.28916248011879,46.37485352397875,45.8440139592758,41.58270364326345,40.46351471352159,38.24530568531256,40.97569073481031,44.21174668788329,43.8848562849471,45.77852643745478,48.41070485510635,45.46447723355489,41.982740205771364,44.22087330867436,44.53018526081582,39.59072769038058,39.12728925390183,41.46830833456465,39.49834948015632,36.661655659771974,41.08210684705851,41.37618674920361,37.228615268143805,38.18920450202859,42.108021118159854,40.87493988099288,43.77340742261551,42.763952734649024,46.09471133685903,44.48846173362699,39.009070461568236,42.290992804326244,43.48941903263731,40.14782872776569,38.5512701661751,44.17661600954832,42.45145644539659,37.17805792192556,39.438001972147205,43.749421018733656,41.456199797096,37.3501098081566,32.853689279518285,35.873365925012735,31.51146178962882,33.10407727404854,27.988969363300555,28.919099797584163,25.25790848013037,23.557781715102514,25.065385249604283,27.339089176888795,28.038324454371676,31.042985893518594,27.655896309138026,30.77678077230722,26.761266439913264,27.630504946396815,30.2616121574029,33.27922110626679,33.613873610076716,28.657145954993332,30.944648815123188,34.30977819404396,31.275490796149057,29.331663591194715,33.89544290994067,35.36419179490955,35.502877866533524,35.490267235593286,34.51260017688996],[14.896660756985314,15.480024918776532,17.80933943589185,14.258937142228756,19.13885992586553,15.640974770493237,17.340677312434966,20.32264490826251,17.664906182251322,19.37799081119776,20.89358875034723,23.55746040743356,24.743663790141564,21.99053799253589,26.557938692990383,28.787942979315392,27.894040596477428,31.925923140052607,34.29914766056898,37.068342186460114,39.95149069066721,43.93593682469152,44.55491523393387,43.777380120153985,41.29849307339228,37.14315081584681,35.67396607209863,31.904576159817246,32.53769998831207,32.093314529748234,33.90641108300887,33.98316785505408,36.80734118679019,40.60058407034363,39.02783982767107,37.410933666313504,37.055996850429224,37.98123116411656,37.95990352330763,43.9377501952146,40.530674958876865,41.27961428727815,45.73552146189987,45.50812884062817,46.540402407809175,45.30926442434613,49.39023081092539,49.36492331470849,45.09848023792942,49.50495365143094,52.1757568406764,49.72044188860235,53.22538200183307,47.91162134611291,52.91621539354612,55.145911141430524,51.146070126784316,49.91788645278015,54.56209157771613,54.977997260502505,50.1058721884845,50.89511428458601,48.52765317246239,50.045628727105374,48.316356333567654,44.6313839514443,41.05901850827757,38.20848397677633,35.05088428028295,32.3531846205509,31.341997361009422,32.89139882304696,35.15585007423793,39.20409926265094,38.518174828662936,44.3880779423681,44.345302704053196,46.856192606868355,46.36895780352502,47.995814324055004,46.387062837300334,46.50557024969181,44.04029368199227,45.10644553399905,42.37124758373682,40.590684709890624,42.08395158348015,42.415702555864364,41.55163574893957,43.934188290225464,41.16531088224677,43.17786766614748,39.59407985465428,37.570947234087384,32.96289848086479,32.42077338890861,28.223274150732287,31.66513481397646,29.32711601832407,30.82073673220993,33.4887587220186,33.30752457747334,35.57857759079869,34.40778774326748,38.18485579771183,33.793114326551525,36.46562532651676,35.944875501323594,31.87779016979952,30.93309534090111,26.53679738887618,26.797617040020988,22.79628536374163,23.76611127450061,23.249898870450373,23.82066231937683,26.82670881201098,27.46412395852364,31.23020234590711,29.033982315752777,25.886688223747214,23.089341216208897,21.439261808863765,19.941792139450925,18.118094048320554,21.66992525395527,21.116145699751833,25.122869100020484,28.152677200525908,32.73784489244207,32.46524607528646,36.82793281645553,37.741148013023505,38.2567802802508,34.577381104204406,30.57893995744972,29.305295772343662,26.954358997797055,25.159953371342098,27.83979360986256,28.870755899566284,33.530234573171626,32.804107255271894,30.863914173268203,33.975702661976214,31.911871561670957,29.09827367313807,27.988119084663897,27.849277212519116,24.46330870535607,26.022268200433476,24.185568713848493,28.752082479463347,27.26430300725917,27.613156724967272,29.38650983498908,27.823141196172724,29.425354723716676,30.1502691310313,30.981079848024983,31.269113706961875,33.661057839129434,32.646844727140056,37.062819597371764,37.88661262426981,35.344575296396954,37.73147197359639,39.04870446257535,36.53976527870088,33.027069201475975,33.62780647535745,31.687146382246556,35.370276848421426,36.3597487157499,36.95556957213455,37.54734172819268,35.53781586490637,40.64833924488603,40.81542718336825,41.80154871527163,40.55645175632704,37.014525479041595,41.54494512227886,43.937345929624826,41.20986644258638,44.056077112661434,42.93234650583709,47.32491480792456,45.03171605345099,46.333385213623075,46.72258075277257,44.09363649563358,43.17315675136433,40.88316863316217,41.00826134969864,40.933293053921886,36.14473769332256,36.910565957001744,33.87650208827256,32.83189730148455,35.1072867785806,33.84659729301644,30.037777269904083,30.34429006656648,33.05204811958952,29.22855820262826,25.276519177168908,29.359366477602332,31.652692519313497,25.4357142436441,25.645806779950064,28.80195872155077,26.458977464676163,22.61334232513931,25.981895611067003,25.679143305017437,30.965810022593935,30.434637552876723,31.488164247078092,34.733071214525374,39.477232587074056,42.785895442674125,44.55684693544628,45.12889942199461,44.52313957304057,47.22021598963582,45.19231656082323,48.794052043911385,47.263144889674265,41.4104277201282,44.146204652784256,47.00514870414952,42.7007190190416,40.862196283907885,44.32125867977454,43.69832862027414,39.35313024550301,38.858613727973925,35.94013791706586,38.90424846593487,41.86608365089196,40.97610372186821,42.99396529848877,45.235917403843644,42.618593375230994,39.12457117322762,40.73309223352687,41.11455098310068,36.342874875993424,35.468031567707364,37.46988977681998,35.442501382200064,32.50976075347796,36.69196412838818,36.80312638954226,32.4858172299447,33.41307918328027,37.31251891811843,36.28141479283458,39.44724562546049,38.83758519731983,42.23390564736577,40.248166018389405,34.97789114193308,38.68042794155738,39.677862706354894,36.23666761197311,35.199230992802725,40.84393062256685,38.89737732398499,33.814542009495824,36.61093731835315,40.75400094195721,38.29919210054958,34.28895810627086,29.630927001892108,32.76980879583319,28.335081149759198,29.227039030095128,24.152351860829448,25.00763384154504,21.054078484046478,19.74929287892075,21.79696691527298,24.49752121665033,25.601369034287757,28.23816106949063,25.304354496551948,28.71107964594015,25.04871916463094,24.62743476911821,27.514707001650336,30.115480868772504,30.699791237400024,25.472112303376946,27.084174624607137,30.54973627157716,27.917280100439804,25.102965251258702,29.53164704064589,31.120973889009637,31.213114757587594,31.357955162363375,30.512035281734935],[16.585090390447384,18.026485471715173,20.907849361261974,18.077914519589466,22.618939495289,17.927590050222985,19.480731230444682,21.498070859926724,18.299722953317517,20.3927045503939,21.056034656950846,23.245146040762574,25.521889952485353,22.74889802908022,26.680923679929567,29.190086813039823,29.083236895651062,32.95941677054146,35.73035821422452,38.6131535480534,41.5857524358476,45.74468868734748,46.45660144477327,46.04828317270483,43.5821978862704,39.29544667663437,37.85560917778916,33.894740471801214,33.9360529469534,33.09649618497656,34.06970321393097,34.21027510944246,36.489900019053735,40.441867883175796,39.39891501047391,38.22771081124393,37.99661705140784,39.56519461509861,40.01143112520824,46.08690220785723,43.04079248383502,43.35514805432961,47.78182685473535,47.97257143763238,49.215388250429314,48.34680520784725,52.43950897667641,52.09462998636488,48.038954097714125,52.70364013344155,55.082390193891904,52.37274790182631,55.56602708438835,50.17804518477684,54.84230683260109,57.121463775695254,53.17579481931596,51.51885334489513,56.06769416345113,56.82665503096347,51.767777424908715,52.05764263541221,49.36264083793097,51.04006672406923,49.70967721509296,45.92041368724957,42.20446777498237,39.06303675226125,35.94535914678484,32.77252601947619,31.94885792210734,33.13191181294955,35.21970843846886,39.629340406307975,38.78380777350765,44.44744142147736,44.92363874753002,47.068023282142775,46.99545029861001,49.05194229754108,47.41901442602007,48.0446672333315,45.37811260592295,46.90555306390144,44.48314391294168,42.23480961779215,43.56960706629345,43.359241675704304,42.47747754917643,44.173579078367794,41.31210250062314,42.88854588603393,39.14083827813491,36.94666728680586,32.535806881852636,31.42742958784989,27.47881255077124,31.07524104464868,28.86620848441112,30.033222243526133,33.48213153346935,33.63026877657105,36.377330086798665,35.578583421516186,40.00261924249239,35.78420351811531,38.56371364989794,38.549492159157644,34.548142275168324,33.06141573938382,28.85854664977009,29.200018759977084,24.91673538941242,26.37685398110042,25.33715888310341,26.4620233770117,29.06503070270222,30.20498950362799,33.31515156980745,30.61312489245107,27.659729737442582,24.848510361397988,24.11781074873271,22.69525263693668,20.79907488769009,24.905416542190668,23.96601898520289,28.174304890802805,31.20163994954351,35.567872665611475,35.887509281967304,40.062313207027465,41.18262669262513,41.19093799846302,37.97122603761436,33.88063876401593,33.198125144111295,30.721136576609748,28.93380349302769,31.233382456678246,32.431080752142236,36.89768228307432,35.67212513803929,33.74447239103035,36.59491868712071,34.02679368027768,31.45904055333543,29.895765124443166,29.74264587036802,25.925268300982538,27.2773963447689,24.539079948280172,28.8003187408025,26.580277481620193,26.70584732660134,29.170993949988496,28.09276407876077,30.220961403813778,31.144000891866845,32.71684449049365,33.673720105636754,35.72759041563109,35.458091013248755,39.62198695240836,41.07499608890319,38.95792284653965,41.469865367845856,43.107144074807266,40.7129896221795,37.098421724894926,37.45530758571404,35.212205319240155,38.454282675174284,39.02264924144073,39.15877285734806,39.34081690352488,36.941269352994446,41.92628806664408,42.65228195816636,43.727862877375934,43.104139754278066,39.447304938684184,44.36768192798132,47.00239940870803,44.34417659218213,46.99619496811992,45.62088165974929,50.3253976992772,48.37497828639323,49.77562359617444,50.41951450509136,47.587835154051874,46.903337165211575,44.62294118280878,44.71925475338664,44.74155307988019,40.016736660016484,40.54769917608766,37.49982296696685,35.9799913530035,38.157892772316025,36.39228739952312,32.770382575906936,33.4155715335173,35.66556496454357,31.497687610717968,28.220621680500468,32.03913078076522,33.559555532836775,27.380211815871835,27.855489112195926,30.572709327503112,27.678093414680237,24.213793498890574,27.709705196287633,28.047929264143526,32.85851114928464,33.429886375458935,34.290509523554185,37.16345495122308,42.1912644283439,45.217790052158676,47.25025161633714,47.63465771193159,47.24186431986821,49.92480823585148,47.855524913355445,51.73929391265794,50.357934047240654,44.52789460656961,47.29353782242096,50.48052386237524,46.28503866795894,44.41982178994141,47.98377515270042,47.6599606885048,43.335470318801384,42.79417604308197,39.55951941628573,42.121455037489454,44.97611812776888,43.70030339142369,45.41974627130354,47.26947187390674,44.55979528775561,41.43420500000997,42.67788122522576,42.6240499742252,37.99746707493594,37.31013077271133,38.74702573295261,36.40899808496354,33.86336167116842,38.01034092248297,37.60146188887523,33.068747761415466,34.58656283271427,38.50485368358889,37.95284104675593,41.26981567685818,40.88774925299452,44.547064955081055,42.477797623112586,37.404687872951975,41.39295655383906,42.52196585628567,39.1048291569133,38.41075760050296,44.144675161829056,42.27697648488193,37.34682935695927,40.35176466058321,44.50872324135745,42.11022491847997,38.189224910760956,33.48290429978837,36.77808571809443,32.36853811671301,32.70456411064494,27.718649498728816,28.257842503964913,23.9437265792749,23.36531798007865,25.654447695434627,28.674375324210708,29.79768152642091,31.989098495257966,28.934576508238397,32.1215428021507,28.36200073914997,27.17487626076956,29.558440134275774,31.951433665922977,31.992159775911446,26.73976129680846,28.37768123763919,31.396488079019562,28.270998948577535,25.605399250529413,30.007004235000377,30.98116221234186,30.715261150028073,30.86922297951873,30.032836566661036],[10.815079862087314,12.732200882415464,16.36254662782981,14.504114828845685,19.555178494164767,15.031205686228562,17.730447315612533,19.776546682292555,17.822072880699206,20.932804950007235,22.22848414200085,23.78512587553495,26.137536870840542,24.33238841779241,28.442042436343613,30.433117675844713,30.379629568866687,34.716002048326715,37.864410340766135,40.198027932715114,43.517671244176015,47.349487581873,48.40270486581394,47.93843731300818,45.0908349329596,41.01971397383056,39.04310670068964,35.042638064286216,35.05040412880071,33.79783379951054,35.7555669162194,34.93941522683225,37.493258724741985,41.75305583970675,40.355878518236054,39.3794489900627,38.406715608924394,40.248694335511715,40.45644554925991,46.15796905582693,43.48366031309313,44.39095299011824,48.70855497096432,48.775904978753914,50.26977347337528,49.15507501720249,53.25732999443979,52.794262722763605,48.32651063942525,52.75321220321625,55.071390867343,52.44322109865932,55.79412700423297,50.3512696173204,54.956601050513804,57.67814557470588,53.95122995521156,52.24887586890338,56.924623525316626,57.89895880230502,53.11175525890894,53.695799028949054,51.081865856704034,53.19742538422688,51.57970973276452,47.569315789771814,44.487143722743944,41.19095222208336,38.59421193783481,35.4590043602306,34.97563832342009,36.68617994382305,38.34264334844386,42.57304143738197,41.20761796359097,46.92655925386635,46.834371702829344,48.82911314519144,48.34541426327266,50.12623623025821,47.97051380316271,48.20240705627724,45.05474170724079,46.30940984274264,44.08045704109596,42.196571034063645,44.161897807211965,43.79476409050633,43.67726727882738,45.45864008977311,43.087255455627,45.146065599317346,41.34985944394897,38.82083370788794,34.290054303018984,33.57730630443415,29.530242222222565,32.14931766504727,29.370821341246774,29.64534459637044,33.32974401704256,32.39423971309563,35.61338604290347,33.87704957494423,38.08509395112322,33.50810603589556,35.67763590446451,35.56388599399055,31.312412461699402,30.12627838606978,25.96064526054876,27.26575535075199,23.471028591908674,25.563840560374825,25.63523331303397,27.017699725161254,30.200204088524504,31.512163918348616,35.378264848745566,32.55385087931242,29.797758066829484,26.621025882434324,25.525876981380357,23.350117127709492,20.61695913536159,23.922355030289687,21.642849636035887,26.04636863245012,28.594033666776554,33.166170244999655,33.08484070037469,37.062904382715004,38.70881761660343,38.861402336003124,35.95595026104195,32.206040733548654,31.083832160630028,29.480431347315555,28.42858861206695,31.055524334418664,33.07234886072104,37.69221345592069,36.61760511127953,34.23586449622293,36.99749471188208,34.45299420483554,31.671554758493414,29.7503945000948,28.877303163289834,24.995798071985337,25.43209462477843,23.0378013616179,26.764445039418277,24.3813539722956,25.681299181534293,28.090387417035164,27.448982958808465,28.840619768209933,30.54681893112984,31.25536092976436,32.654636628341514,35.4526734154596,35.22397514526613,39.32640373945807,40.44727979527962,38.44510572602631,40.317202245057594,42.07377489626076,39.230097766133824,35.94226147531078,36.01722131319215,34.17367577083589,37.3887907050954,37.936027478658325,38.26210229380013,38.19984141060526,36.39508542568229,41.049841456249546,41.90223682501647,42.51672866868473,41.953547736938155,37.71443522131043,42.51166403582432,45.21479083547889,42.86842822491836,46.123466412947515,45.30221982324344,49.86677853738808,48.208381495428775,49.0147231233722,49.34828653835084,46.33868105399563,45.18904279106624,42.57554203773773,42.26469000653634,41.844193865943126,37.09354270325533,37.13680329763878,33.723231119077504,32.22203798016005,33.81148441174888,32.07399910015141,28.683172098447898,28.87205677716004,30.794163655728017,26.714667402132005,23.41383292337277,26.849424676883064,28.268905181616805,22.095644772935955,22.331234576092772,24.880697486821852,22.111604111122936,18.494049017608837,21.84152024113392,22.351712860200387,27.00275830777204,27.954140736242966,28.79368111789966,31.48640607415984,36.620192223824574,39.48319264581193,41.65211412451926,42.133100294840716,41.96875273256195,44.793158894811086,43.00637754136503,46.94159692679338,45.36965202939888,39.719543768135956,42.7475579561221,45.899468311664066,41.67306254242587,40.07211675971996,43.88171363535991,43.42314359974553,39.098359323926815,39.11203136777448,35.39717729443632,38.23245193074052,40.8180376902014,39.17431281819848,41.09237840935876,42.70556757102062,40.3828783080503,37.14347406961405,37.91135832096271,38.107593857739154,33.65208724015816,32.49734954015416,33.81424732621605,31.584185379600395,28.817125015156915,32.69877272933438,32.336893723002675,27.775221132096995,29.01462030015182,32.87981216628683,32.34067107330314,35.80278986976107,35.699688784453,39.29024063002067,36.95142696976863,32.05934705490764,36.27591372372091,37.19695845832742,33.74497938472349,33.451756264680824,39.097432439055574,37.09281676316985,32.3711192510911,35.71313377273699,39.678823937578734,37.22379644665886,33.4401014514623,28.727997056224215,32.114830902818674,27.81476881198516,27.584810259720467,22.727589409870124,23.11134777064721,18.727651403222442,18.558511106896106,21.140291699850053,24.396657960824317,25.762366395229048,27.578935020237925,25.062928633665273,28.442958115178328,25.20479803838322,23.046055737008313,25.775533096106663,27.748221652924496,28.2797942203269,22.922814880686484,23.768646520483323,27.013079115562864,24.639449877016467,21.014630372392777,25.188324281971532,26.573496032920612,26.460674800696747,26.786284673354118,26.132165610775008],[14.936880651450938,17.33537569471236,21.41193957956999,19.517797327262695,24.867047762921423,20.47070066462215,23.01009371435765,24.925984279407015,22.53998132326928,25.384835015244942,26.234795998916645,27.877706890314574,30.536602599267844,28.2780877942364,32.1685223516231,34.48315979898331,34.554847245101975,38.639739374130336,41.59807155913307,44.27748141458152,47.39737407191478,51.43820117766149,52.27408331508604,51.80629373861628,49.20499615990787,45.00099742565186,43.34133773239103,39.355980282535796,39.354311979486866,38.22574575242216,39.53436410575132,39.15287524244133,41.397542137403896,45.59400056730618,44.52703643326806,43.58140852702572,42.943694501625984,44.786071872407945,45.12980397352294,51.00192860701188,48.15402751693033,48.789031266890824,53.17324972343627,53.28397776615824,54.613246001725926,53.55815590304665,57.65790031531561,57.330302174041634,53.02500961488491,57.516456195208654,59.92123914360764,57.286768046999605,60.59137501516309,55.16404293923794,59.783834912101916,62.329515381645365,58.49800460674495,56.78812015437343,61.399106728863785,62.29655221217666,57.353237937000266,57.72909354905405,55.01492990862993,56.9036977880634,55.50119783360072,51.60552645685189,48.121437503062374,44.88549629267059,41.95036038412864,38.7218809092775,38.023269958073605,39.27102634687537,41.233363924834265,45.661403345633055,44.609633028865034,50.24043033997597,50.607688317314064,52.585889183543586,52.41733874670016,54.42296280272273,52.483634835066624,52.95941117322725,49.93391598730542,51.35063812507977,49.0898951362084,47.031835729885316,48.734555575315284,48.32897920451509,47.88456232521084,49.449316967806276,46.81757112181739,48.47800379591887,44.65132866670106,42.224027724836105,37.83594587248354,36.69276163560896,32.81335499040503,35.91663564162039,33.39914302195894,33.737511614228474,37.73969286255623,37.16924512500717,40.46541938467286,39.012253698756446,43.39535915853633,38.88450662201679,41.0895995470766,41.014654026793195,36.754071298633455,35.54941983055345,31.406990530716314,32.629731949754,28.713385754175377,30.647753640296933,30.311327103549264,31.550044284152104,34.48741223941658,35.63048870517384,39.12026691538349,36.39845639290097,33.49504401919847,30.539198841178766,29.555783988806162,27.78543521997499,25.423037814317237,28.97324073543694,27.036215065433225,31.409383295417047,34.01313728789599,38.59518198223558,38.45169116662757,42.470153259344585,44.06986486505241,44.28509790316143,41.27354259097772,37.46928586870692,36.24387982693379,34.494979878482276,33.1749482293267,35.80588545231798,37.34449222998103,41.96673434691381,40.949482087461526,38.80330730402209,41.65711001228041,39.11694783070837,36.413482893495264,34.61878191072389,33.97221284025644,30.03790835214976,30.616750106728816,27.890714802728244,31.519076560744498,28.728450058202128,29.824449322349665,32.61186849502469,32.09712687534751,33.8186402000875,35.41045172458578,36.47542860341394,37.83399945935068,40.39599622852761,40.13177829234779,44.29120880846203,45.46205565061724,43.29600479936863,45.35313587639759,46.9297906493336,44.150485141306866,40.81872567248056,41.08763701686417,39.226201431011184,42.55373411885452,43.14527411548007,43.414320746017104,43.36964986029922,41.34339233311336,46.06050233246699,46.98557293071488,47.725271219105466,47.18986973910475,43.06449188280051,47.88768699521617,50.56416937077546,48.14377566384091,51.26965638437913,50.28242359146144,54.87219528578699,53.02186187880747,54.03602671087398,54.390950582268346,51.491539670843856,50.37706909369396,47.81246748710472,47.55138247958148,47.095976268191606,42.30640924934424,42.38829048029663,38.89526308542042,37.5407450299426,38.946849755438606,37.27941552397142,33.97790025515439,33.91474628552791,35.70566574467122,31.723750563486572,28.33642494321028,31.479039953229737,32.828308601259664,26.748945802628835,26.65179476766578,28.884411647851962,26.23991243147479,22.53405132595104,25.287750120218455,26.065498915057006,30.396349272233643,31.493022617549656,32.7766789456799,35.27059839987102,40.485694089100456,42.9144086542549,45.428383793547944,46.27500298407835,46.40715836163424,49.392523269991294,47.868033171205006,51.7858639539552,49.997816935212605,44.52618450709257,47.72673586594198,50.71459068224946,46.397601541176925,45.014081219890095,48.89757267397409,48.14618251686837,43.794679333249164,44.15137905401248,40.41474867232437,43.490917463675984,46.004076384315624,44.245543498022215,46.24882115649342,47.69612475441641,45.533174955241215,42.322113654431085,42.80338526124657,43.014197687647616,38.70845589669597,37.38077166771732,38.42463777099086,36.1467430983777,33.43248922728205,37.00961686752592,36.42055467527078,31.74747070393859,32.97408249365011,36.70098381793072,36.37839418270324,40.057750501731114,40.30731070650874,43.82007043591232,41.13487908629876,36.52358086900914,40.9253651737151,41.52388574835047,38.001644857368206,38.077489521834906,43.53711385525022,41.165654835468054,36.6511362266693,40.260230151710594,43.9168939484401,41.13607648734669,37.45118151118511,32.7490223714716,35.611757207298005,31.1534889841455,30.869806866402563,26.401367007013505,27.340755596337505,23.193749350012457,22.62628419805584,25.508489182742494,28.511718984999284,30.277225675052275,32.32835523226713,30.198741824077086,33.72067624067865,30.575484981422374,28.355464623744016,31.126767294262685,32.94843896046485,33.44380948427644,28.098687786668275,28.691788961742553,31.80961808100557,29.43421457029994,25.59283756363481,29.54674045343527,30.70162805039476,30.356766542970202,30.712436438458134,30.07622135987189],[12.004705869004733,14.556538603256108,19.1401337593085,17.79214794693774,23.695544631947335,20.32583694103181,23.569524370438675,25.891241845132512,24.40439441316692,27.51684020496637,28.966378234356743,30.528358896106724,32.77504699378226,30.924471662405168,35.15434768115638,37.14398735226444,36.88760460013153,41.22371826803007,44.124677397100136,46.53117655050978,49.73253329112638,53.54223054653388,54.45565268916974,53.746877533027664,51.002502470095116,46.97234104131603,45.09057765848022,41.2121445553208,41.49848862446596,40.37807861932336,42.48372077209297,41.656820973735385,44.25063849486741,48.522374035528145,47.068540026106014,46.01078147229972,44.97385589109713,46.62844045762184,46.61358390332392,52.22305103141822,49.362274397608495,50.51298799324574,54.84945768961724,54.65963973124372,55.960208391133335,54.56444488478602,58.64010206044564,58.47662105494306,53.86559925847224,58.040449207755124,60.60406614700118,58.1793421179902,61.74198813797653,56.35246927513694,61.117854246118874,63.851429711102455,60.10268941781679,58.611052115738,63.32463371687477,64.13335113986555,59.42141745313539,60.18891378288914,57.674945038994906,59.659498712400655,57.935179256142895,54.00850782586062,50.845541280008646,47.69788521626813,44.9281522000935,41.93448901803343,41.25710201895148,42.83498064438177,44.759819473316554,48.97263987803983,47.81030089405191,53.562177760287604,53.46947269185665,55.554801308333964,55.01688407325415,56.68972858755256,54.51687718303986,54.54476448677906,51.376819420128406,52.40423833575922,50.09371476962248,48.48341868228298,50.57245786574452,50.35612266853079,50.27874157168834,52.19642645484873,49.8172794525881,51.865028818944545,48.07987195102778,45.581152366852265,41.056497610998655,40.29062201447373,36.2622855995626,38.90841617358079,36.083356224897344,36.09960003317797,39.91164842503712,38.616979227444126,41.960247086601036,39.80047992572655,43.69707118342787,38.904364073668326,40.592050791653755,40.15743278737484,35.719763694063396,35.07454901486799,30.926518658704193,32.74075465769027,29.329727175415712,31.328060375897625,31.810616696549875,32.862067883010546,36.232672165049046,37.1513879295057,41.273283932625496,38.78663863663286,35.86068808946217,32.79526437373288,31.21091041247381,29.12828794656701,26.4737118261649,29.236776547793166,26.75763434437908,31.043530224097342,33.26710850426786,38.062641176339,37.23491402033547,41.177581778239954,43.013766661241114,43.67192014853915,40.60631016824207,37.13645610738666,35.2106773019623,34.15295246059863,33.258897328051404,36.27340634512604,38.04688224795877,42.81963273444046,42.20646843638358,39.87482217393214,42.82154496471688,40.590689246676554,37.6752963458113,35.957605701431476,34.952047734426195,31.231956613365714,31.375159595928523,29.26857116435698,32.64276688219624,30.043835814815175,31.908048590734587,34.39500329556592,33.932685659900585,35.014505410011054,36.94178031283981,37.16735308275833,38.42262929294334,41.54435706142479,40.88714145953125,45.12951890246704,45.725480485903404,43.351580570230674,44.93458602805345,46.30752468987519,43.19075202279813,40.189780590426786,40.47996559077431,39.101222003486804,42.66780060798015,43.49802824598658,44.13199244253804,44.16190751562863,42.675198509890954,47.24049792595901,47.95618627648336,48.3789980562284,47.539898964761726,43.15838235031185,47.6312675466071,50.177839324233595,47.92968660101642,51.51545911997861,50.99397010766932,55.28370862097458,53.366396846103655,53.986478804186156,53.97425634381062,51.1364598298531,49.569324654441324,46.79785567645942,46.27104761735755,45.39844027587818,40.591935373958,40.448771934619465,36.660190329185795,35.72609291863377,36.58667989686972,35.33198809641077,32.193460721745716,31.378273618165622,33.09328990609811,29.529343754135354,25.665617405553082,28.407893816167963,30.15940800674301,24.194538958627774,23.457992491140672,25.62665071806299,23.630260555486064,19.466489598826136,21.51166351765211,22.142261026464077,26.454502057881676,27.16421873539145,28.884915519280135,31.34578832013153,36.48989683277761,38.69328212163811,41.368048418079475,42.657416206308476,43.01336243312672,46.214792967484556,45.11766369013665,48.85566353738125,46.68483244555078,41.48580775011927,44.96914770163614,47.59204219970326,43.14388212929681,42.14420372863697,46.17620891199194,44.94513781032724,40.59654464835109,41.656099084517344,37.74972456545219,41.42653626721578,43.723430096448574,41.868285175753876,44.26374439207635,45.68112423874486,43.98615792395473,40.48597289963754,40.66153588033767,41.37273194168923,37.22511968612337,35.31177439400345,36.48007328518603,34.4999133120192,31.39228171638888,34.55858989466344,34.2561003431952,29.694399514060642,30.2199692895659,33.776955462345924,33.24446724653616,37.05655590705558,37.59373581496823,40.795686068519544,37.73699321254745,33.34284872652171,37.82848072775597,37.9466535529563,34.34840984182649,34.77636372201342,39.941105978715946,37.168297685054405,32.89494873210353,36.8103420787197,40.06923759079542,36.99654830733769,33.46059913344695,28.827858135826542,31.28257449277022,26.814558463276498,26.339214407680075,22.244495067104722,23.672799150574473,19.95959360869446,18.98204340250489,22.165795426284745,24.942637940263324,27.171466375539786,29.294790391872297,27.99527407334115,31.839637325341815,29.29404553108824,26.777944383563646,30.093373667580565,31.604600729128602,32.80249324691718,27.495670370201534,27.30366659688033,30.777094342801057,29.331857262564284,24.63323849553511,28.221344760659406,29.988028350572367,29.895221199721107,30.39217057328087,29.90205648472003],[6.892912838406116,9.891501521025637,14.886506552335893,14.790912584306007,20.4481373597377,17.47517456522481,21.292248985034878,23.441384382304953,22.998926544666705,26.621817105816177,28.459616438164367,29.530372241743443,31.68948425459128,30.638545309387226,34.86846463026869,36.39841798755364,36.20460319490491,40.80515799182711,44.01447267581051,45.91210341367081,49.38486729537139,52.875651389842055,54.10699480932489,53.428461237483525,50.36178633040347,46.559865705429225,44.23725572779425,40.372681045316114,40.56612203692063,39.124914616631145,41.97149294568836,40.40967546742396,43.20077950887785,47.62646606906157,45.885372001047145,44.9967765081739,43.38686254404838,45.250878410286504,45.08133369686986,50.29789441876186,47.846330913980175,49.42149826913392,53.59999831358547,53.37290666728332,54.9290811468666,53.42093349176072,57.46303805342768,57.108329934361244,52.238301895270546,56.21793524155419,58.62694361078526,56.248001760416564,59.85420028880801,54.4706087530998,59.091541547957156,62.17550292287441,58.65957835962553,57.1006603638663,61.867147105702394,62.88816395985462,58.43959477879176,59.4155140473264,56.98131806031071,59.34548316854974,57.41059093928909,53.319131742904936,50.74601872909795,47.47865996899521,45.212465262047864,42.265916036757595,41.91161337448299,43.93601671683009,45.430863964709026,49.44867179142868,47.82900525658246,53.56657395834312,52.980749788336794,54.91812638824336,54.03478021357148,55.46306184368273,52.88664202759547,52.60920082386928,49.099203649144656,49.910425604226454,47.81334525949088,46.49111993115012,49.04705945714548,48.6927647811372,49.23736383565666,51.20504987522166,49.26265994885319,51.708903273446204,47.93828544579394,45.217723969979644,40.65785318348425,40.270125312694475,36.21979544465394,38.05355512654498,34.87311801703013,34.295813179407794,38.06239350297823,35.97512333114508,39.542661962197975,36.72103999636139,40.34897101039073,35.41038226376946,36.596620029940134,36.1283513407365,31.627100868421913,31.20094992806977,27.254361885855936,29.75042236991213,26.873408621074336,29.30308123248778,30.58038140999966,31.870466740972258,35.5436499139301,36.685842208684605,41.253426775189126,38.62440926621875,35.9637818717137,32.670573929776886,30.996235180896,28.39216648715027,25.21647530816405,27.273050117654748,23.82033570610598,28.044573240893573,29.791896903691793,34.558766411721265,33.544926696191645,37.20202890438553,39.43942646481154,40.09806315534747,37.431900127818004,34.307606296993384,32.24314939159431,31.889355776181898,31.640340697216732,34.71745539121397,37.208413985600146,41.948461018185576,41.335764664440575,38.663322907069194,41.41434830157927,39.18113094389549,36.20062951435478,34.20683466060722,32.67522462846038,29.053915774230653,28.496241398198517,26.813013423984394,29.665725886683585,27.206742430836563,29.837948051716104,32.07204774421435,31.891700283505042,32.35079498455418,34.789183490597914,34.34652128206407,35.94416713754984,39.53901970795926,39.028101680436755,43.081698163509564,43.5105363002474,41.39520451575664,42.45067456202709,44.01726177720333,40.635141666654185,37.926770950090805,37.88753268913222,36.781791757762555,40.1362614641702,40.862158431838694,41.582881075615234,41.39703160435998,40.39674261842435,44.607479410095486,45.418591031903,45.47805469030819,44.75465082205412,39.997097436724104,44.327362306416084,46.922664069963986,44.971525286462,48.94403769765395,48.84082388544262,53.01043294584094,51.455791959153046,51.59019516044236,51.40013413793581,48.394656401127904,46.54758958576279,43.56210842038381,42.7228021233555,41.56935756337326,36.85651145008887,36.2896529314082,32.322855588657475,31.307553455803,31.721252050696624,30.439720941532,27.56918783997451,26.499052167797753,27.884583635184168,24.428864460283975,20.7486869623155,23.10742998014834,24.69642470749573,18.86237769766381,17.986730374893494,20.01942806311905,18.150171542129534,13.932105268128822,15.927750836349086,16.70478986215099,20.92051960006102,22.0949183142646,23.549073464854345,25.86549307997962,31.091746647977775,33.32771555550934,35.97395413984649,37.132394162856464,37.56236339138245,40.78128623094062,39.7924952564545,43.586794188785746,41.40468623223612,36.31340959998081,39.89838076544285,42.59652919229104,38.224334670308814,37.34186258318217,41.503592633853614,40.37444660859508,36.09003768191496,37.405872026537956,33.14007238174349,36.8126813257535,38.87869790992251,36.75588074895067,39.2097024150343,40.45178339427155,39.0132769549768,35.500006564385,35.36807550932172,36.235024659905534,32.25614061450443,30.06245974754438,31.177347293301896,29.332723811317425,26.08911662636591,29.07123740474328,28.88172966303737,24.40603414909906,24.67501992437392,28.206869680536975,27.629406602609905,31.46312577798136,32.108006891838585,35.281110976479695,32.158731718520826,27.8600330493958,32.45210104677381,32.552812085436656,28.984857057590176,29.64789761095923,34.783643952526035,32.109745346648914,27.982364830015598,32.050582540278135,35.27070598272696,32.359000624540045,28.942117379986893,24.357927051799717,27.165036921330717,22.965501395428905,21.852995014349165,17.78834230757135,18.73237939135733,14.959065319181896,14.713959553043084,17.98515227964207,21.043841416997132,23.24722359223125,24.7937435117339,23.86170952832568,27.648411889219542,25.594184322273335,22.32004067676288,25.74687621041414,26.874953283297156,28.440497403615964,23.272646194266468,22.442948481413172,26.02341504292317,25.276269305564174,20.035705465224385,23.297967358395322,25.459383220779348,25.60451506034243,26.205237095173622,25.898223612995935],[10.33166218627087,12.501645534588748,17.202356014053684,16.567348489178677,22.692068277658173,20.76557126015941,24.51921624723772,27.219668849281433,26.683171605879235,29.883127650624324,31.906022241595483,33.407463157250234,35.1081201332544,33.688916830395414,38.194815912871725,39.81902749626928,39.18849802520577,43.708182090140895,46.491669874830144,48.57739876569245,51.82303974423341,55.341123808181024,56.32684246372767,55.36039879177782,52.48781922550111,48.69809736153627,46.60652621354121,42.907626930641655,43.51459839479237,42.453170279503716,45.37697808764267,44.131594792518364,47.08819538797566,51.36563011725947,49.49356527918732,48.29284397473875,46.86635124351912,48.25143251227857,47.83640191799182,53.096821561170245,50.23383087065875,51.93246085019427,56.17450001392659,55.649482099052655,56.900738033585405,55.14560183992812,59.15305452029275,59.17358463087651,54.274768563986214,58.05822869964329,60.77775257348616,58.61584860572826,62.435479296133316,57.13957233043984,62.03982066709624,64.93988431538521,61.30306958238343,60.08220351207171,64.87189679710062,65.5547861918665,61.13447246085804,62.335226193949325,60.07151380153602,62.12984898776581,60.05950015045259,56.140452398116395,53.35189875962317,50.3414334331284,47.7733462514227,45.0749546316177,44.422679454353506,46.34250510255683,48.20742939519427,52.14192385540803,50.883949690577055,56.727208636379245,56.126218983050045,58.336081335107416,57.393262710557536,58.67717437899979,56.2945947658943,55.81915935376381,52.56812129729487,53.142985961176905,50.775568751715255,49.68430435764731,52.14944718218974,52.179638369440845,52.46712751717024,54.784272551022674,52.68305148426393,55.13843994273472,51.44069362073622,48.91464749423812,44.284661330014146,43.94106409183412,39.79376637003786,41.973328159269016,38.89881185252425,38.68023843124236,42.136272197207475,40.14474621090911,43.40161799820835,40.548840055631736,43.80215466372723,38.794216203058156,39.909163979526575,39.0368486323719,34.49897792012682,34.53186371640291,30.475175556686196,32.830244922885406,30.075133273629774,32.026284023692845,33.35363805797037,34.159716725833654,37.90503195331192,38.56124455000919,43.28142535572155,41.09020261151387,38.195848822879505,35.086347135791925,32.916347552832775,30.5756050131968,27.731487423730933,29.539520905066407,26.624805633878644,30.6264145160833,32.37390871823416,37.295955588474996,35.692540957391046,39.495552366770085,41.53015942303167,42.69921293924147,39.58784814285048,36.557609785229495,33.8812781805042,33.61639265120192,33.21397451043665,36.56639810069442,38.556923359641615,43.3966598811489,43.23032593024718,40.74360158591059,43.742092318393205,41.89855213608814,38.81096374944011,37.24342821206992,35.90702173398528,32.54746097170449,32.2914062130203,30.9594958069593,34.05412513192632,31.839375900784095,34.35647255057281,36.403134442266335,35.924841506904166,36.31196657775273,38.48708845885225,37.800762887004296,38.85043988154367,42.50721064437034,41.405108036089565,45.674019928718515,45.61980980442374,43.042533397078714,44.08373560971509,45.201937357895275,41.76107533659409,39.18483216701624,39.499507133725665,38.686475526491286,42.46185388419027,43.56057312219238,44.60169129983756,44.75188728672671,43.869658463407035,48.23390636519776,48.66220104756482,48.74996774460221,47.546374311449206,42.98453514069485,46.980878915276016,49.33140377272236,47.28863233519415,51.32348652520515,51.31348995180532,55.21843195614295,53.23507637971905,53.42218427834689,53.0045245642539,50.281226864940585,48.231312055829385,45.27451005345156,44.47045397863696,43.14903575983,38.38784017399849,38.024232758030635,33.984478342162156,33.59476690863383,33.85188835685682,33.15942633874186,30.248692577269487,28.562330685033395,30.230665302211847,27.29399854060353,22.897123430231698,25.12654084272288,27.457051006349804,21.820469062030607,20.297520107565575,22.42585725544881,21.40255482313684,16.824327236079572,17.8445282509688,18.077415405248395,22.393251973921622,22.324884104784243,24.59448580257322,27.070773856257876,32.007528645935025,34.02175330222318,36.777410319967636,38.58001597449096,39.12506864121052,42.52859890862142,41.90213748693379,45.35873466602557,42.77279901112552,37.91685858361277,41.65951347377814,43.810290539612126,39.247145640115185,38.68349163520335,42.81739549406702,41.039616177582,36.73778738518792,38.57048839091776,34.572689533172316,38.899748766805494,40.947268733624654,39.079159862209444,41.90969455588649,43.351927659859285,42.18432135036454,38.369534830654224,38.29519611702294,39.60588160879511,35.66892729077883,33.146302886897615,34.5490307129091,32.993015835569196,29.465832048018775,32.13183060971611,32.27309114427171,28.00787041225043,27.614946120505234,30.90494728062387,30.022254370427902,33.87076117016201,34.650847982804116,37.41459751473636,34.01343944065766,29.879438763989665,34.323572814361505,33.8846051297116,30.238590165372624,30.993746331968662,35.74793977622706,32.54009880579257,28.562886336121068,32.74622024260906,35.52008006526972,32.140709174983314,28.79447018850082,24.3139836816391,26.239253196451198,21.81192487895041,21.16722821063859,17.609994537572625,19.68761004692285,16.76215326731419,15.171926171861168,18.572556739065238,20.928057064452496,23.66352291084596,25.857277504121,25.59829105212355,29.705317720587644,27.923226641527698,25.26907122377649,29.134004846351054,30.305975979955456,32.293293805386526,27.203493692110467,26.20833769461172,30.027159779691797,29.6403531369218,24.2722201331418,27.35433274637823,29.821700270287074,30.0789012164399,30.664571073282296,30.325000632524766],[10.672281002991507,13.039710420353883,17.840245119255318,18.361468764194985,24.11938466002933,22.541651690762816,26.586932247823373,28.98848967433569,29.053889189779227,32.59315548747448,34.689824218011765,35.791091351687406,37.643468444486544,36.68479317569798,41.07573730368726,42.478015138045386,42.00834223129836,46.647005546215034,49.6391694731742,51.451410985330675,54.85196610797587,58.19679490317994,59.365861016755034,58.43208221549467,55.39020381221087,51.73233255565454,49.402055676415074,45.709606365452196,46.20125335889852,44.88900685450636,48.116305729451646,46.4211047082199,49.37309381479179,53.77916103211854,51.83848766162552,50.83288694842088,49.053490142599266,50.666167424888066,50.19687858205606,55.17625376682651,52.62049978597873,54.56024788574337,58.691259156936184,58.16188905238323,59.568883997325116,57.74323114693403,61.712418567042015,61.623911649180265,56.57140255992593,60.19322018531493,62.80941357626982,60.68978093018189,64.51788923703427,59.24187002408398,64.00158752719909,67.14457144417585,63.67779245040282,62.378688209323194,67.18081551397412,68.03480217328726,63.775520021843015,65.04793778536363,62.79073166958676,65.0932177366183,62.951966188039805,58.93034447929076,56.465601245406084,53.356034068389775,51.06403846925289,48.32688076252347,47.86012695695758,49.93679202994801,51.572231012789864,55.463394880258605,53.93888157497582,59.72944088784716,58.934752354158384,60.982760838163934,59.89999644753021,61.092426843015176,58.43748596055524,57.820628119020725,54.297142525189074,54.76823167123449,52.60375922584691,51.679647732423454,54.44166357168878,54.29654199297001,54.9969330852041,57.21550368342042,55.37826700067569,57.9788568043329,54.25915945628658,51.562397751410614,46.970171227903386,46.716652501778924,42.62938960014266,44.337890843011046,41.07268104295395,40.32133736190901,43.95377346988856,41.435069152768655,44.967090404844264,41.66404264341076,44.76236792307111,39.6887407470283,40.30627738882174,39.43990162054822,34.89457882841114,35.128738873059206,31.351859445257215,34.27174323854418,31.934488525732185,34.20173741670727,35.978663839096335,36.95589423784678,40.828551144893424,41.623756995741374,46.53148816039259,44.234870665640834,41.49781781481741,38.28066628613992,36.1326856313683,33.541493321869716,30.428791889520774,31.803188623135107,28.230433694105756,32.11428852654821,33.41773147452733,38.2489114365867,36.438669829237085,39.915453460871134,42.32076093216129,43.524860091559546,40.784893273158396,38.092997967685974,35.256434599547184,35.5843045134442,35.628723461832216,39.00989447390415,41.39724401110927,46.19499417160527,46.0475726393298,43.37576950913115,46.23273742372578,44.36954285955292,41.27460995450653,39.50105376818994,37.80959217869031,34.49289315296298,33.67809811463602,32.49746745723388,35.02779947093661,32.6875551173889,35.776030684182594,37.83190454797836,37.70995301148123,37.7338004030459,40.32506677698308,39.252543123876514,40.62717453930009,44.57399633804134,43.61951991783042,47.72405310195865,47.54844907590923,45.13998227874838,45.767211262901625,46.953957135353086,43.30623010798342,41.02379545728617,41.12882430066445,40.57701977111414,44.1825136374929,45.191619668820195,46.26716836668417,46.20258524389018,45.65049388341562,49.691519252091084,50.27650591805684,50.07877476499124,49.02680444434428,44.17705882027568,48.02510143601309,50.39504859778347,48.623784756514176,52.954453293242445,53.26153852781707,57.05624322840781,55.321311317071256,55.144618666398955,54.55172138949312,51.74043095202378,49.42890684993193,46.300194732193994,45.20183821500764,43.55325295489487,38.924435760909255,38.136987464294755,33.90483189712404,33.56713419648098,33.162748021077945,32.53717382828288,30.063911576092615,27.92002604052916,29.055035622999327,26.456653021324595,22.351632966990433,23.748597634793683,25.789942514505547,20.69119602998352,18.72369304619583,20.232088572253037,19.682252209420323,15.299976763940437,15.289873544782399,15.907153028000893,19.449651504272182,19.989147782216758,22.42091961505803,24.41208719416458,29.368902921325116,30.89041773828826,33.948104492284045,35.999294131692245,36.93681970381409,40.481965996412335,40.273865363754126,43.70948739402902,40.909391230457345,36.45243817040374,40.424220801357016,42.44781753025785,37.94988908040529,37.7596611979171,42.047954394725885,40.114215664528196,35.94133001727974,38.37382839118239,34.02952297290179,38.50425386062632,40.19114491901089,37.953694665641514,40.90157572224911,41.989486463233554,41.280340854567726,37.52179768197782,36.85066343625474,38.357998101881066,34.81079007266125,31.86606656441755,32.95572211079804,31.57451846453464,28.018374425292627,30.082196439426212,30.183687614866976,26.082648551153437,25.291793125379474,28.272755644282206,27.531137051927967,31.52058598523378,32.7655074776787,35.32289194609898,31.543108151441256,27.9371984573929,32.55795174376228,31.738063356606673,28.14588610559548,29.55227114711985,33.93858024130151,30.50276155411884,27.05598294881075,31.58758406071061,33.911062174058095,30.43353808164292,27.445280591829835,23.212865226321895,24.874509339423806,20.790741931959904,19.27760292267708,16.529171902421634,18.565562793660003,16.162213162041933,15.083095963860158,18.566984810487,20.810714080797386,23.77122281981386,25.441694121116175,25.946589409370578,29.976830545096036,28.81015460943273,25.43223690920463,29.307547551762987,29.94263352597332,32.242950635013784,27.41951703741395,25.639093206489182,29.35138972244433,29.686751849438718,23.81123954663144,26.253247678874043,28.895398942035918,29.22163877665792,29.928004537848828,29.789923735010042],[9.7478097145593,10.982135129409835,15.201148100368487,15.502690286264563,21.28599350593752,20.727283838320332,24.7447059025301,27.605028733806563,27.964703188137854,31.201641587380397,33.66308275938952,35.01307832127616,36.234339707040775,35.31834225931566,39.94133077175326,41.17636159600313,40.28942266994535,44.93236740043717,47.67230525382093,49.37447087169631,52.68681581895125,55.879859067266345,56.99461129177871,55.86702502717768,52.84026687623626,49.322099925039026,46.990395018067254,43.47405518054235,44.28253289873723,43.21636910244057,46.86541802489311,45.1847825067858,48.427418527189445,52.683137179196315,50.4487541374331,49.180101013113216,47.365995677718054,48.56675344849688,47.825614139213094,52.678716524948314,49.94234952836244,52.123096462655525,56.217503415721595,55.445656633134476,56.72186403571308,54.7027220113554,58.61848020452783,58.71013958167163,53.5822417594643,57.00078934073625,59.769454452742785,57.82155963784678,61.8104697156417,56.62738299056606,61.55926149488536,64.63645423453228,61.16417568921437,60.13953288556794,64.9591374881258,65.59253700617757,61.48235421077656,63.04367872564865,61.00200552012074,63.19093172716116,60.82986314065626,56.90763106887445,54.56220374814871,51.64919884007123,49.37848147436276,46.93323004954036,46.388079409906965,48.644168937807635,50.33664135456046,53.98736870151656,52.55957315163513,58.4210912432358,57.32938214201366,59.586907201477395,58.26898628272045,59.19327467810188,56.59284026376307,55.675563498332664,52.333081907471325,52.511796061767136,50.16396018354245,49.53797961797136,52.35409561321132,52.550201728472345,53.23164800872382,55.84795190149306,54.063825687487935,56.89424988387516,53.300230997112585,50.73844709776973,46.069027903144,46.12803675724682,41.93548794089891,43.59287631991387,40.32003909007285,39.871741505472556,42.94436813073157,40.33646976844785,43.474808310116906,40.02882791060648,42.662168840935955,37.5469320986914,38.11885742224443,36.89183038770643,32.354904414462396,32.981206056981016,29.132368046892186,31.952072341433176,29.886641091972933,31.821166201335735,33.906912822832815,34.57419754587284,38.57885022578364,39.10337506986724,44.28012562366796,42.28628592241059,39.531589467142645,36.3913125551072,33.85114423165075,31.256308939537657,28.245800515489034,29.131737632732897,25.788962003981883,29.40977389698722,30.639853617282522,35.54272090384115,33.32409379266698,36.89768414558436,39.13068007291265,40.67798898535676,37.658849649790156,35.09819284876741,31.88013220572972,32.3956998766832,32.53698538407338,36.067630438639426,38.379535946448314,43.17255288276154,43.313209984908,40.66365487846325,43.5987995612419,42.06397257822374,38.890717469522585,37.40684375470099,35.74948067622007,32.77548865244317,32.12034758386393,31.519747584128048,34.27766590911639,32.50553877004956,35.523016294892415,37.10916911279405,36.637067669227434,36.37779827891471,38.762441134769546,37.264357890052,38.185201217785064,42.2774216404501,40.8960252634098,45.07345921589323,44.504076014711266,41.8870519307078,42.38126501085435,43.36151610558545,39.65855411365714,37.50956670485244,37.74341458507194,37.430087194729786,41.2419979070216,42.502600828670516,43.8568226072703,44.06425062657538,43.7501869305395,47.84231686631514,48.048174317250634,47.81264916866267,46.360106721844545,41.655962485622645,45.19960921223398,47.38201765063872,45.58014986680294,49.98908819579097,50.452649750599114,54.00907529641212,52.09197844574014,51.84010033106206,51.091402411765294,48.42958379753772,45.983919368075014,42.87166164426945,41.79809845415261,40.09503588042573,35.453117552631475,34.83660792776043,30.629812105405612,30.679078103967832,30.38744271199945,30.187192493702256,27.548761698914248,25.134826599268834,26.728965827708866,24.42839526918231,19.688732654768597,21.38730893263932,24.244948883777063,19.08787745460929,16.90062111677668,19.022643189547786,18.991481562231836,14.262325208332838,14.309792743318848,13.956562041690388,18.328147388329654,17.386018568557542,20.040812418174205,22.58237404204025,27.27372937757395,29.269043578871273,31.96940838302914,34.09893627547149,34.72071534178929,38.23914954601047,37.958646914340996,41.16434610423973,38.293622694860936,33.72006335754037,37.62915123502553,39.4185852314845,34.80586387420492,34.584024661855445,38.77858628201682,36.628875698248685,32.406533998602896,34.85030699699078,30.766918828228498,35.55322776337409,37.35507206782866,35.49457540908555,38.65431401594711,40.13250301240681,39.401092052538885,35.36213126930007,35.12233034793872,36.93725590816257,33.218258061154444,30.232686071212143,31.89147942949133,30.760861699483698,26.922522143946566,29.15671518194723,29.77054916344233,25.917643765863513,24.683162225531003,27.70392420596548,26.429865602608466,30.19031924212245,31.07799406314888,33.441347397408855,29.860790585108365,25.925213618455007,30.236733060704772,29.384341011575497,25.737125852141293,26.707870805606863,31.108819001715503,27.632759703741776,23.895373396818044,28.25536510250973,30.66703168792232,27.13139013434674,23.948881497435348,19.629788728333057,21.261096482972206,16.975163245116747,16.040505520779003,12.9511767348489,15.481692018293435,13.485963057092885,11.489785016263124,14.91807805136035,16.883998050646067,19.958687733296518,22.01650077036864,22.715582397498114,26.907903820443547,25.897088515230834,23.14045916198581,27.349557676499877,28.19027016948673,30.84236749750084,26.11038524989307,24.468152257924935,28.497746132420517,29.052691404502355,23.36866032201866,25.921603538140467,28.982284289782204,29.596885031399424,30.220615804348693,30.028494585865662],[5.936552977994563,7.330996484216078,11.940676639995434,12.222308034967567,17.995861568955533,16.818631905097796,20.86689990079792,23.59713090167197,23.956897592095714,27.318366542793584,29.749064869912257,30.987201819110275,32.30731189113832,31.52952900270811,36.06663563357188,37.25722262080683,36.5232984796401,41.20659473354322,44.141484919789555,45.77162564115757,49.19285176854911,52.39771851690871,53.62766512479976,52.66321138923187,49.53890776480985,45.98631255385723,43.547727146415674,39.93123615186031,40.54951122256639,39.340579441707895,42.95852040581647,41.18766308192432,44.39389121367592,48.68392986913843,46.48932981730599,45.319306711989775,43.4692255522553,44.85594467494631,44.25052430861879,49.15652788999497,46.57713381106722,48.644727122487105,52.7325412674828,52.134773202582075,53.56760332729399,51.7154009353304,55.674243496849584,55.55251019728431,50.46405874950025,54.06868103529141,56.67376429705075,54.572622644928806,58.43885340251755,53.18374750339396,58.00558335794764,61.13076534932904,57.681528374508545,56.48456790511393,61.298108889391834,62.08343028515394,57.91976975740927,59.35544632025098,57.22900284530907,59.54263497938209,57.25294646608367,53.248718259534606,50.980594720522255,47.9492910751424,45.81263340885087,43.2641746751885,42.85801884618552,45.191615836283056,46.70276293528004,50.37286118485703,48.78632626363558,54.61229191284935,53.521948880736744,55.68403852833518,54.39792314470635,55.39955857199342,52.750809653139164,51.95775819756601,48.54381565806424,48.86893373559745,46.60642389433045,45.814829283384135,48.623105742024705,48.670275759634244,49.40577942996801,51.896969360528956,50.155150669525625,52.993410803141614,49.38093820404273,46.76417507238351,42.10969750245269,42.19544931809108,38.023663058120704,39.561340524610706,36.26437699185918,35.80688296447579,38.894262527583145,36.348956273134256,39.53385671699604,36.203914703193824,39.07021480488749,33.985974440634735,34.78074090836006,33.77153401898249,29.22201567908124,29.519963164119325,25.593066836651744,28.33913235545709,26.0967767677129,28.22072298095716,30.227371634422177,31.127098583791525,35.0977827997173,35.88175660313534,40.973056530453746,38.750218009988444,36.10302158187733,32.86542617856889,30.568594191377255,27.83145432373346,24.65163283169877,25.743637805891154,22.20906059414655,26.033593869907044,27.420681163048933,32.30839911719965,30.521338507656072,34.157871287280265,36.39586740726693,37.60949071778192,34.72093900912121,31.968119737823375,29.18167517963496,29.453502446303414,29.58109231028686,32.95369294613046,35.52204457906904,40.280826823918225,40.13369716206154,37.39375362432767,40.22270582004281,38.468179680421756,35.33957498618068,33.665836762563536,31.974087156476426,28.86384341990887,28.20128143016123,27.473075230819944,30.30746224650699,28.569846111835872,31.486423412961074,33.06178105643478,32.591901486004694,32.41233876853419,34.81418216559232,33.49909305721318,34.61849854883285,38.62909357274193,37.53836970049794,41.64946669955361,41.40557696106203,39.03186731440189,39.66145964590983,40.94141740867247,37.32865683585799,34.971803749454004,35.027046783643904,34.43270808985082,38.050358389234916,39.11800065982032,40.28709758233797,40.3782911734239,39.92193032678339,44.03688272209193,44.388851993352375,44.220575361378685,42.98404516793088,38.23496927310468,42.045024949899286,44.38466325006552,42.53907114108818,46.832950048116516,47.14789542909926,50.915185987448865,49.19610033925805,49.01792840697042,48.478553055015716,45.644452048633106,43.4161790978052,40.331110459131196,39.339920220577035,37.87929456699704,33.18585825773053,32.595125315028376,28.488469625800704,28.07729888022648,28.199438014524933,27.578866795740094,24.72876965163638,22.90959774573754,24.606703645886576,21.77449557699009,17.257195068113294,19.531062042095034,22.11334327739987,16.45916221559393,14.880754846515108,17.377313354258483,16.598454179575842,11.834820021846385,13.169835597611655,12.945152509436987,17.804594209228977,17.493308994307675,19.375650376561747,22.106734755510185,27.033461249724397,29.506180105222544,31.944487400306418,33.44784832773559,33.760834741973255,37.08187070757513,36.31955553520013,39.786771027907086,37.310756095849605,32.32948318713988,36.02785152640408,38.292063030238054,33.77175098252617,33.11616358729831,37.27861521171101,35.69512322644201,31.401976437961004,33.17064164108894,29.01500453585874,33.299049424362785,35.29668619040456,33.43442024598605,36.31162896504293,37.854952476859914,36.729446069581705,32.81409866211681,32.846912011627595,34.3219510456774,30.35793600566716,27.748316197247338,29.44598661094276,28.07878178385054,24.359849403753405,27.1325302064407,27.624649072218173,23.576404052691764,22.879966639751668,26.25134789857759,25.04877182440215,28.730530899321135,29.260756025651492,32.021395621266315,28.836250409928045,24.446635061039128,28.79431394804267,28.546048671059705,24.90306222885281,25.44680927632051,30.37382443335534,27.43797664170074,23.263238425530137,27.370601487172856,30.399143238535643,27.30381377863133,23.857563069632143,19.286334188715777,21.88501447174156,17.630068463285816,16.7351098644968,12.652792835128485,14.194685578651853,11.122057366595346,9.914889977660897,13.315434738000496,16.037348739384733,18.572644161237985,20.383006934919194,20.212402582708737,24.285236540916664,22.829271394725264,19.93432300688585,23.97265221911369,25.03723519002908,27.379300455140694,22.47307612583471,21.23280760604975,25.26188185323348,25.385470025228496,19.949045840165414,22.906539672832817,25.838511961530436,26.442466823744624,27.021842429987167,26.77682324881903],[8.219182531240065,9.215320560559906,13.353987020340117,12.31110848860387,18.51365878674651,17.32568341538263,21.05654020457788,24.166233177693105,23.946622696352723,26.904578669776946,29.299571614273013,30.981887019409108,32.090243749782346,30.803280396891335,35.50721233834971,36.92581270449182,35.950988105785754,40.50967402420745,43.14967429532919,45.07434098938726,48.30004204343839,51.66450438801205,52.66694039322889,51.586778603304445,48.66419707656785,44.99901560226488,42.835744672378524,39.258293746539884,40.089213210971444,39.192803853211544,42.55098097649021,41.245113789520545,44.47661995883994,48.62889453628695,46.475935477625725,45.0708229138359,43.568580855586795,44.644773331747494,44.01914469609957,49.168647051924076,46.21597672901757,48.11724609642498,52.31892461461333,51.63600651647711,52.845494667945324,50.97165629746777,54.95162771847091,55.038897000153945,50.06812546216189,53.73700777816705,56.52296843688754,54.45736578942441,58.37889078350635,53.13773468375599,58.149463957057826,61.025132726244735,57.40363134020342,56.365941615933764,61.17275050400225,61.72324802144666,57.43346626916391,58.868092347264124,56.777065318550115,58.803557076565426,56.54019809788602,52.66882558876545,50.059194512401135,47.1784386881001,44.71457256413142,42.256937553558906,41.60578928779777,43.76621585172736,45.58214826523099,49.28187066364296,48.02121368289495,53.91974698523918,53.00323259360206,55.3656858085859,54.1911532076149,55.23891993994115,52.86686008569003,52.14401767498296,49.019565689862674,49.37041032479233,46.872819293017976,46.00622525489345,48.54077076483805,48.82847352111914,49.15121650646458,51.80033206955173,49.79296125228555,52.49723010161122,48.9138585353126,46.48270486305377,41.78424802071614,41.779294084142215,37.53867579301583,39.57246846740436,36.467322883894695,36.51286678658119,39.42287596027634,37.34307996235035,40.24301146907778,37.28464495500765,40.17910476379714,35.15160011690719,36.3063316740841,35.19099219653559,30.671499243175933,30.93478175397342,26.790693451281328,29.008999077687406,26.447692557985548,28.155855384075455,29.773921729560254,30.381202946906903,34.26365982428088,34.77830192599673,39.75856523977946,37.752302892736516,34.89379793575465,31.799210684443395,29.331191797689062,26.896018708523975,24.05657351760593,25.466002962585506,22.699649758971827,26.533629638129526,28.28401965445539,33.258999640667916,31.46136613267996,35.37349082164539,37.247494775403695,38.59074992156905,35.28153392067478,32.29463314089169,29.446223803565974,29.248235045508018,28.936983435479725,32.37788590670336,34.43710008741154,39.270551128951745,39.254588464452674,36.73068623068524,39.75787107187053,38.134692568681686,34.9829619838744,33.607682071142186,32.27657292420934,29.199058293323564,29.086402738375075,28.28343400284079,31.604594187880387,29.971072747305325,32.39504285419458,33.96297039667401,33.155200883427604,33.27886715816951,35.27181612561765,34.23229302683954,34.934044396008126,38.71004005255377,37.32422049327057,41.63318050496108,41.34055021036126,38.67390358641962,39.640092151763305,40.70273442194832,37.24228451931557,34.6993236928575,35.051756592809525,34.34335669704743,38.22998093328816,39.48299223238173,40.71291754133929,41.067439853102584,40.369763643703564,44.77592549421389,44.90834764519298,44.97537393429564,43.48921502806214,39.03962170587131,42.855185121740156,45.09694551728862,43.01496870027553,47.08454483217956,47.17348203011551,50.942589498641084,48.88633260622703,49.017656272000224,48.53923887992266,45.87369800987833,43.78762983390745,40.85579577404985,40.10719712381332,38.841986196443514,34.05570310434084,33.865210364122845,29.913573698735057,29.679774772333772,30.225673563988916,29.744735451850257,26.609405707277897,24.957779619592465,27.075430552269868,24.212563268427786,19.38844927182518,22.125858891138805,25.027224029454143,19.22596009529073,17.80700647795112,20.56391111522393,19.712288341057572,14.947897749287172,16.478076047553998,15.970431710768786,21.04269247256748,20.022649423306994,22.10250269585094,25.08040611940403,29.832411232774493,32.430559099665565,34.74858455101534,36.34038139519044,36.48136442900132,39.75651155518026,38.86886734129262,42.2148802697443,39.74924043923222,34.646863326908424,38.21939636118638,40.35712085084864,35.7603120938217,34.98008255016514,38.99487360189558,37.28659483890545,32.932114510374966,34.45671433014671,30.688825151850885,35.052914114867775,37.279136077974506,35.7580719367051,38.64503695109845,40.45652463152914,39.11652868839431,35.118878105208026,35.542990003312724,36.98638614578289,32.82223753978188,30.43329037815874,32.34812842195089,30.938529064929995,27.236798645553826,30.235154379700685,30.779606628582172,26.7011086334905,26.12317289999535,29.546876168134926,28.24457689998946,31.828335151914953,32.147343339360816,34.8820771776951,31.842916720334184,27.280067028220937,31.422630272179568,31.21605286660497,27.56412947148344,27.742276537266466,32.694713526356026,29.71848619439892,25.339948196613467,29.207583988745327,32.31453700136827,29.113803680224212,25.513638556336183,20.90257862351058,23.219501667495326,18.696268737765994,18.613204418708808,14.391963864853825,16.40795572075255,13.441389558684623,11.336363214819645,14.559205776432494,16.969200189226875,19.5055860068977,21.952590133489664,21.447413083544365,25.62821178674234,23.785020648045737,21.70523206337881,25.780388463652763,27.23339174676118,29.40904678426803,24.37090964750878,23.680701441720167,27.7536529496171,27.417556756892925,22.36960370882295,25.666280556208786,28.450787863297844,28.97864655800796,29.47418145671146,29.076772627959176],[6.949382117183099,8.280079364827639,12.391123338437001,10.862764889617036,16.88082466968537,14.37922832400328,17.927573771283694,20.804423995809056,20.14285466965984,23.212920071695578,25.382663034057614,27.02146254468793,28.441774192472025,27.082123050603048,31.654072099421764,33.19046785206674,32.48620375978395,37.03766381982532,39.90276762225076,41.89864742546804,45.21051037428643,48.70550968995619,49.77774449149217,48.92351868191125,45.96318275419518,42.168546111602446,39.991733416108936,36.24302539167086,36.79202204300795,35.746916641967005,38.77964711542689,37.55022932811839,40.62786769043683,44.82688890376194,42.85765047508814,41.58629770969209,40.19587199140977,41.538271164038626,41.179553365546404,46.51627865824502,43.690573181838964,45.29386972496542,49.5370695630331,49.12052473345332,50.47855031227623,48.87246506627684,52.91391503436834,52.76088880267972,47.92601761265841,51.88792243861577,54.48190204132144,52.19838747958368,55.926474177631505,50.589655877195696,55.46116805131862,58.32387031003564,54.676308513342846,53.39373046803384,58.175860997710636,58.8992000275031,54.45106658520605,55.62361878678908,53.36402929523451,55.473515661095796,53.39259895024552,49.43938710634453,46.74545155007054,43.70163799647511,41.26519054048764,38.59255009162132,38.04662328959665,40.1586859746042,41.85145775049573,45.68974416075284,44.324483026612924,50.184743952878264,49.45378617967989,51.69535891287847,50.69468247445174,51.95585187300527,49.61451289031059,49.180639006190866,46.01969626762988,46.665287178036145,44.25865277765785,43.05455235476994,45.4468504144529,45.515450988506686,45.74876237707005,48.14886551424221,46.0668786761262,48.63579998343731,44.98856887415942,42.5087177324689,37.836056483398885,37.694485130038004,33.48554642249735,35.61014000523821,32.55937792404941,32.689039994298334,35.76942200460451,34.00487269400919,36.99267703895124,34.396682094224055,37.74232165865754,32.82851424930174,34.3817389148328,33.625225117620985,29.161274227130434,28.87679931037216,24.647953741829728,26.564028821130805,23.55016015232391,25.446679835523355,26.641942014510935,27.555244807515415,31.281428435575528,32.12280300062789,36.82020926918152,34.495250555956325,31.695547066735855,28.50661191067215,26.463121465658272,23.992623692351785,21.058217041745326,23.096965380108173,20.376300041200338,24.510221685521522,26.59097091837452,31.47873502906826,30.350029103060805,34.33412757577896,36.135025359542176,37.00657406757097,33.84058576493041,30.529521338305145,28.3524086187439,27.623713501620003,27.08952418633746,30.262156999785525,32.44520902280945,37.23447436964932,36.807027734782686,34.26262409546479,37.190446951194595,35.22427750557067,32.16585355945344,30.562312826906822,29.333921830114363,25.968912779014328,26.027242165715563,24.777191361577746,28.303536366163335,26.532920956224945,28.621160651272213,30.364814544105652,29.55969410240971,30.038063122916054,31.954397296917765,31.438948832995557,32.39452365855913,35.89550870737302,34.926624678955655,39.17694777798982,39.40646570637337,37.01316737571656,38.29945943118396,39.69135273652582,36.4380477131683,33.57817805504231,33.77655949357014,32.61734346666948,36.257326175565495,37.244975389684924,38.16225448909041,38.369992366075664,37.31658551245929,41.826482151348095,42.19522383208436,42.44206615823644,41.27871449663412,36.859906510418575,41.071191380005764,43.51019631772399,41.32413945989182,45.1297736655993,44.90748380566019,48.990853914858036,47.12331438242538,47.47173949403431,47.30735158830844,44.46885922750642,42.73440871490723,39.90104175092126,39.31729234775122,38.40321845013276,33.59242172893818,33.4994434916138,29.756951832853925,28.955786142587424,30.01727408387355,28.998368509033916,25.66750807834552,24.83629666891481,26.971490999143185,23.518552785328197,19.22649495039067,22.462245804058984,24.82919451009131,18.696324307458067,18.072822887517965,20.939291814504053,19.206543799907777,14.792341104942818,17.427876905028356,17.26752654056254,22.377695577510153,22.176321966433022,23.552644836508605,26.520307898918194,31.453546016328403,34.33748978712979,36.4837373572945,37.48747430705818,37.39511391529647,40.44775227186942,39.08819038842608,42.7036472238677,40.66928651533813,35.23312629757869,38.544295775192374,41.17257950692971,36.72800748401457,35.51404206172622,39.4457401184416,38.34629427240654,33.976301972668374,34.744266498109916,30.98222682748495,34.67981267263129,37.10948959640213,35.57576591791607,38.06641314854412,39.87515107504194,38.07385876286219,34.32976958427688,35.004758481574925,35.95613969189367,31.57908143323247,29.717642813234043,31.51344514333612,29.77682673492808,26.378338555737066,29.88369916864514,30.142589606740685,25.853600067882038,26.014089407238366,29.712753990708855,28.640830572844642,32.137180931824865,32.15936066234878,35.302144518681175,32.652040778589715,27.796240564213647,31.948587168496584,32.33411685802295,28.75655181704932,28.588673423498847,33.95760052503153,31.50937983294416,26.854774860895247,30.427974298350726,34.047957816745615,31.268148419758315,27.516337606636945,22.804006936383423,25.82588858426257,21.433305865559852,21.32465250115649,16.58044670481988,17.63784372767606,13.795693607570733,12.688787668793436,15.581964603186579,18.556322981538035,20.447642832667213,22.598637999524513,21.059625084682313,24.951761764057643,22.45732516893336,20.349651024052214,23.990076222057237,25.735716800400425,27.324744967789986,22.078013193747523,22.054375832728464,25.928626121263385,24.819120057141806,20.282512480268903,24.055715985280273,26.42003701532168,26.787136004261203,27.213001637653583,26.697726016315553],[11.822940687680406,13.430801928591867,17.367893127807157,15.112670998832385,21.159528710701217,18.389011124528253,21.399222269570267,24.298711968529318,22.72860871131341,25.356163906132593,27.117344958207873,29.150851841299392,30.72537603301888,28.63215482242756,33.173495849494046,35.139060828049004,34.40601330052328,38.696920929493544,41.26260468779113,43.73446917906209,46.781833523880366,50.564528054363876,51.3313076006886,50.429395066384195,47.78521590691519,43.79001321178437,42.035436978995136,38.29486668224984,38.93064951435796,38.16649017891788,40.497222554924356,39.91819489304426,42.78103778950007,46.85700691617561,45.17043411931345,43.77398085661809,42.88878825965651,44.06387439889817,43.840752951081264,49.49826428490275,46.31468401621047,47.54552050411239,51.91860845752574,51.52081820138566,52.626510105334475,51.099280929679814,55.15568364777084,55.20617617644465,50.60674811064851,54.69951517552349,57.44359180299889,55.14731649732577,58.841158250164355,53.51874027271974,58.50467442602019,61.064729313594015,57.21977874575908,56.00246987429998,60.73392086808372,61.26472150000858,56.59258278543999,57.57903666425237,55.24829225453183,57.0080350212811,55.122714384563736,51.328176288307944,48.087287754345724,45.161519446547835,42.24658454998268,39.52998790704693,38.667374544664035,40.331729199689235,42.453645141242035,46.48368399434995,45.552138139533334,51.4141371826525,51.15238629264314,53.51298405328599,52.83439557484926,54.31941883259464,52.32791754044664,52.164644303131645,49.285997010850295,50.113055828873904,47.546103742458726,46.104948871249086,48.089309737987726,48.26018603063314,47.956024177870574,50.28205239384646,47.81363260975733,50.00089572620262,46.33424461068152,44.043268006644645,39.41949139248719,38.90008161088907,34.73003915394869,37.57943305147318,34.84321958861571,35.39726105973678,38.614297375702435,37.493063206040155,40.357947698754764,38.29676736116086,41.871268247998465,37.09033839275651,38.972084793192685,38.25419401452106,33.85493657652685,33.41922103431391,29.097461513379162,30.5175172091125,27.102433996274662,28.62982541961123,29.103696336582782,29.77953543634598,33.206475550448,33.80265394125203,38.07603281440952,35.91284162492857,32.852937918645495,29.902322435261702,27.92773568619759,25.992100273874136,23.592774838536023,26.238545614923147,24.370211946679966,28.494013475510478,30.89924284204088,35.77183108573126,34.74383801208593,38.899064214795494,40.40493911931955,41.31055281745546,37.84497754177743,34.30442930895443,32.18735747139327,30.920969872098958,29.82290081826592,32.94546315437728,34.41133531077217,39.22404877816516,38.84597597719913,36.63635569006821,39.74154151817768,37.800833001742646,34.81348950898263,33.46315285966628,32.68672679492677,29.238732222043517,29.82298404638922,28.150814661475327,31.98491335999577,29.95269072399586,31.498375016650183,33.5475232664435,32.59766200810775,33.60989113928664,35.14263680639402,35.203663892431,35.903493317387465,38.98938341604081,37.8857771276356,42.28499842788311,42.61863720369852,39.977535921477404,41.685766267231116,42.84785251303463,39.815420107988416,36.76286408025804,37.27513675548374,35.93879892868152,39.763312497406744,40.84773798385722,41.69492663696981,42.0631278279427,40.612159705104766,45.38212276786928,45.69707911060329,46.228644414703126,44.98194418016067,40.87439977891064,45.163059629094164,47.5420774240638,45.13683216978406,48.62787617808965,48.07268123480929,52.221489646033156,50.01878757598759,50.770780935659744,50.722267920211614,48.05943226322197,46.52297038819294,43.86427967714646,43.51057700450921,42.76612077407972,37.9165518990847,38.11517811749319,34.48242305522821,33.80895987559601,35.0488229117691,34.08332664869423,30.663291725062756,29.885397666460868,32.11800713442912,28.668830463706318,24.323633411171976,27.56321886575568,29.9377466163473,23.821468329688777,23.122268144229686,25.836446317523528,24.070320751530303,19.678753497281505,21.991531224436326,21.964759345952963,26.899642305351822,26.55553176360384,28.314147812606503,31.231871020753054,36.144599152627954,38.777303353658354,41.114113127862915,42.38129823160758,42.386753186779366,45.49970749749507,44.2093536589918,47.761526427049276,45.630510945895345,40.24694113206934,43.56149124041131,46.04029278065266,41.529892142593404,40.36219975983947,44.21824065564186,42.9141708249679,38.52673210057836,39.301663815653086,35.78931768366091,39.578519693525614,42.097866272856464,40.68552450501569,43.17350677292705,45.01196660162987,43.13708555647396,39.42338951255083,40.14825400835317,41.01837557941565,36.61834652135305,34.847236495727365,36.53557829870145,34.69684396950864,31.405278153502028,34.864115765653196,34.948786050119416,30.537777442866027,30.840933591398077,34.49298467021177,33.554642440651335,37.14754277179816,37.28297723106227,40.391902507453594,37.61239326540288,32.863424808878726,37.02872094538258,37.256860581806514,33.64607605131065,33.535907428061265,38.7827600903468,36.10062235975733,31.510034429683955,35.09349869069702,38.546518633693786,35.51925026838403,31.782586196414368,27.11172405564718,29.589603105225816,25.002723262979877,25.240170634203636,20.794446372666474,22.42194225483132,18.830974155045908,17.177640722799325,20.089899892849107,22.659353456409406,24.734088031563775,27.317866534485045,25.75973824435021,29.691590192434933,26.95068944667842,25.310697886092747,28.833448442656028,30.72346429541568,32.05429159895312,26.743500553901857,26.983779407705693,30.71032556895217,29.183384519916878,24.860958586125456,28.72333564701377,30.74810020569431,30.85927408832469,31.24305657924321,30.630640288560556],[15.045749534754728,16.475442313769616,19.970210191290917,17.098882236767146,22.8374122525334,19.717066826443176,22.14121837050746,25.022653457974496,22.746048213470516,24.896017036589303,26.335736829431657,28.700662582002842,30.26539409734692,27.641478537943133,32.10244204889971,34.356032511093495,33.594303102184845,37.63816297460239,39.98572675167911,42.78398090023565,45.63209521430353,49.614835296074894,50.177445364291394,49.30365820231861,46.88549057618603,42.75291333592239,41.31210372971456,37.58255787758826,38.23852367505228,37.70046644144851,39.48014260328701,39.4300458722731,42.139499750278226,46.055205136756115,44.572803736428426,43.06937971937575,42.60327300354697,43.637423549489476,43.558383550296064,49.45575365751124,46.04846603693731,46.927582501187985,51.37568242858783,51.05385085220843,52.011345986124,50.63136760757431,54.691313837317274,54.81203079469752,50.45286444306593,54.706389660986034,57.48826196428789,55.13233511046235,58.73300481815588,53.4292846989482,58.456051816066,60.758357327269024,56.77628128789669,55.57810826130305,60.24139568883852,60.64910202786517,55.80613871849565,56.61577103397459,54.233039574316614,55.73620704317922,54.0200837875199,50.352594584044404,46.73509113214105,43.89915848030848,40.67545834839462,37.94420515865105,36.87863551361965,38.23775882966929,40.61788997713418,44.746067900714166,44.12044997930205,49.950463995203386,50.021073201971525,52.467501926348014,52.03044519577183,53.68336892525543,51.99046774748547,52.0655852359151,49.45153699684739,50.45433480707191,47.77417359748173,46.103109685980144,47.72571240296357,47.976713127508326,47.233995754537055,49.50609407086055,46.75474793572145,48.66417973691868,45.02397654141836,42.91759014033452,38.35871865048486,37.618234575875796,33.50243140692554,36.88158958724927,34.441219510399655,35.46115996412798,38.596883959418065,38.075140289062794,40.71546532951948,39.18677340444914,42.94606565510129,38.35069728506883,40.62102819537771,39.997378343634225,35.721864447451225,35.04831798281842,30.6677147490881,31.537225510595313,27.77846735506563,28.989198550497825,28.824081803758634,29.36463297827639,32.47868608324968,32.97109414292933,36.82167169703017,34.735840967280325,31.54850603288781,28.799282881973078,27.002474652792152,25.48709373221136,23.53101538553439,26.69690866588938,25.566804450736154,29.652390037479865,32.38006059183087,37.15426810606796,36.41758622909556,40.70910439337323,41.91009366470654,42.69500700227294,39.04556354892544,35.265552389344656,33.44820769979254,31.616175286095718,30.057231478680517,32.997421015660386,33.977025438529026,38.721415151498675,38.25319162899423,36.30469977399647,39.475281908401556,37.505049672543365,34.62846917077896,33.463679592083885,33.087246625487495,29.62196753705555,30.71130678877031,28.777398983752683,32.937884235071024,30.925341852896857,31.858955800275492,33.98703710900233,32.81336562393101,34.25900837049119,35.37962143913657,35.958481496142404,36.4396365498139,39.10291741452834,37.98946429319338,42.44091524348585,42.9923052617162,40.28081694980595,42.396345860371696,43.50296347374047,40.744509404498714,37.46445122489547,38.14249230565554,36.536594474225744,40.381826916178305,41.46736151397532,42.18903543446265,42.68506878278824,40.86955414941201,45.84807221720882,46.11185809314082,46.91839719006254,45.656111808374135,41.866621373836516,46.27393474941492,48.63541732488236,46.032975291690875,49.166222166315414,48.26886626306827,52.5258423954446,50.14568560268098,51.266426674212966,51.41697684237606,48.84735667520494,47.60308387789478,45.14182851662938,45.040494730567794,44.58301735409656,39.731529261791444,40.22870577854184,36.817975165935714,36.06525417175972,37.70181750570423,36.643000421370935,33.05695665783386,32.644252247049536,35.061933234289874,31.46072711319752,27.20650911194336,30.733971161813688,33.073071466261396,26.87835810701951,26.44667514278711,29.258575209847834,27.25250351587956,23.0107086029882,25.598344392871525,25.553674827262526,30.560273675752356,30.139786764980787,31.814121253553306,34.82229555366387,39.70396924162313,42.46023301667055,44.703556765597384,45.8481607765958,45.70593730036118,48.71927958654468,47.21569300533384,50.777669842084876,48.79812457364137,43.26753400023639,46.41157535831001,48.96637461033208,44.483357145816626,43.11598972904685,46.82940815872965,45.657962473365956,41.26445276387974,41.637860445206954,38.40093313230364,41.97016122741132,44.67059112457525,43.45709880815268,45.79188620684824,47.761621427698344,45.61005634735099,41.98168780298911,42.99310522669238,43.65840037342291,39.12405615277559,37.67050668072549,39.39902595735362,37.436971845120276,34.300999076775014,37.9894334183156,37.98939044510783,33.52889164866091,34.11715108717023,37.85137266948774,36.95210544671966,40.469747693676965,40.421563351467015,43.63312057519898,41.042031877775095,36.15018498913725,40.204874792129786,40.622867383103724,37.03767728529924,36.66236887389263,42.01425200278902,39.46775723303079,34.72735145464188,38.08329825121049,41.70280781814158,38.751174088550954,34.921565257441195,30.249669679530072,32.73953426954209,28.114916699326294,28.69326870344176,24.127850613551477,25.706863076212056,22.025653565650675,20.311609222083675,22.990442049796687,25.48337605712977,27.331461620406714,30.10047985868031,28.093585129977804,31.89285091291639,28.762706109669338,27.63326126101945,30.917873801017684,33.08285745608645,34.06396387043935,28.734754480526792,29.49638669331758,33.08700711701515,31.027691596921617,27.24035438733199,31.32930150210134,33.07128400541266,33.06997637327118,33.37247063881613,32.651888471401215],[17.999463226484377,19.433715516672347,22.635807468935706,19.5029069881974,24.773499565960165,21.098178795366636,22.94781219494543,25.55895152622726,22.61453543722023,24.39101415982593,25.357149062079205,27.88133272210218,29.637245857453404,26.59213368746813,30.797525159607478,33.33331690612397,32.7357452976623,36.51121073963549,38.776446015306725,41.85103660046893,44.556687386782336,48.732821548805404,49.16388362058426,48.42899714524983,46.19277193058954,41.92738782897086,40.746079465229435,36.987062727906604,37.49797845606483,37.05317110578159,38.171277071135975,38.578371265072356,41.025998283362284,44.817815071542995,43.62990681797799,42.148773945501325,42.06187636570688,43.133763292150704,43.29819850451589,49.39610745642229,45.9245567104249,46.39221920664202,50.87872200172923,50.7426971707677,51.65072160605048,50.50905771609743,54.56853322369273,54.63467450055901,50.54106117154865,55.000039981421864,57.7083781519028,55.22919624434881,58.65242355617784,53.35397390088981,58.30578191965974,60.40590393356884,56.33909838828041,55.03992796189098,59.60878777182624,60.012710181329325,54.99371644632105,55.52521469705445,53.02202196969136,54.36039515281217,52.88939895537769,49.30305575004994,45.36265273000136,42.53200762729732,39.08954893929157,36.23961290210979,35.065514599191914,36.08907637615157,38.61535604355751,42.89216090244104,42.47207503763192,48.206394753239564,48.66594058489375,51.085086830474445,50.944480040146594,52.83467107136271,51.38630111139826,51.78591361831969,49.35164750093856,50.6156012921957,47.9333848333976,45.9535211609467,47.23047687493271,47.41236929843532,46.306440419361714,48.362330336476205,45.3691161331763,46.94599444174254,43.3073673726018,41.32946195941955,36.89438024642751,35.8592159640961,31.873233392450967,35.70424737311942,33.56554609295871,34.91993982445763,38.10427915767771,38.16992425457984,40.69740729918866,39.717737113035106,43.765618787201454,39.39666176107025,42.02053343745947,41.61275116704715,37.4835239352858,36.467578370316815,32.11503321055078,32.526817872237025,28.443785878020062,29.50162717025024,28.67094134492661,29.247469263614374,31.971436088449295,32.53097363075684,35.833124981986295,33.67384348117802,30.459394770152773,27.88785639034889,26.51000002437399,25.365497173851104,23.775261232182235,27.491280535099687,26.88007314168319,30.950495923456018,33.93201521879233,38.53123460732781,38.22731299553188,42.562395302774604,43.55893836111562,44.080151147292646,40.4289585625926,36.43501080693293,35.078992553703344,32.74136316856177,30.822035550905948,33.46573748101848,34.121950232318035,38.72375678599804,38.01376521048817,36.2825057517812,39.40961858018763,37.28081292084813,34.57948671473001,33.45600440778163,33.413627538365674,29.86613120583667,31.329371900271145,29.013418338637024,33.352519330863736,31.258801644645004,31.59916097459401,33.892454381310024,32.62899604587134,34.53998419729066,35.3400947421834,36.52496824285344,36.98751100674116,39.19301834109226,38.28704485830398,42.686401997698034,43.60820574195183,40.99323992713698,43.47825513301546,44.66088041318118,42.17991955518826,38.68280851893559,39.39993541170409,37.47239276418144,41.17452217710181,42.13049391027727,42.616769117810804,43.11244735588575,40.90339530566747,46.00331610113513,46.36025804176104,47.41845989215101,46.31551181546377,42.778057063185095,47.379286998102415,49.791376672377496,47.05187877598243,49.81771427140245,48.56505768428288,52.99585049080678,50.59350212713198,52.04265477145329,52.446074841670715,49.88700653269164,48.971717329536986,46.687060928026554,46.7923711521358,46.622287094200765,41.80518998310043,42.48272834715975,39.28354239079688,38.307074338897735,40.27458713383012,38.99056754802343,35.31934413724967,35.34288480534189,37.79710778986734,33.978153590230875,30.012520400000554,33.727487261594554,35.828984704434035,29.59792134199288,29.492271090606373,32.2960854183127,29.94945734644393,25.95773614305608,28.852156759808754,28.934006250066936,33.90225932011296,33.7267693470349,35.2027921127027,38.20311368608688,43.12808488209332,45.96856546170213,48.154251499449614,49.08356837954911,48.83391572815037,51.730483017461,49.995712869521576,53.64586045779498,51.87693731696034,46.20751080943685,49.18291877843568,51.92338506226687,47.51832256969084,45.93954153945411,49.54330121470339,48.62912330406555,44.248742559516025,44.206680000953405,41.1199512559247,44.33454238161328,47.16552226147963,46.03069701971114,48.13378355783335,50.12388081466199,47.695782266062764,44.24813153016534,45.44069939251865,45.81091262123716,41.1964679100497,40.08961471067733,41.73155706906577,39.60003343004021,36.702310193729964,40.596192676967206,40.418018964064466,35.89345003751157,36.868342500400814,40.68245092745861,39.91906208211863,43.37840211918558,43.1904861962272,46.5670037837381,44.16455432081864,39.17848857342867,43.18693359831952,43.85098662318902,40.30875223872236,39.75873204942576,45.24771243869377,42.901756543389965,38.05497466430044,41.236059584373116,45.0479832023229,42.23882618224321,38.3476346923884,33.665084273324105,36.31187571518002,31.705721990096027,32.37560694801827,27.68167412256451,29.02802610278001,25.15191077691465,23.670961478167232,26.178012754175274,28.74526171579239,30.33406377969491,33.07017642795374,30.60641209213156,34.18753219043007,30.703494959785402,29.819932741021766,32.747871223404914,35.09736190495962,35.644014552803995,30.33035254259321,31.557812733409428,34.91622859718954,32.299279098399516,29.052869962230318,33.31723926026722,34.68453671531324,34.52515525922543,34.74374163875387,33.939066736797564],[21.54010102582486,22.55520924491514,25.184590932196286,21.502348074020038,26.368369398694036,22.96782979007898,24.18819859643128,26.95004760703846,23.560103692585542,24.54360078957259,25.331979673011,28.32182426633367,29.62935938005274,26.038281407318987,30.19667197113565,32.93054782239018,32.039311578820254,35.448642259764966,37.23605529082457,40.63143458813204,43.00231204270657,47.308040334558285,47.44009555879794,46.61553192876725,44.694902980258036,40.37506699403757,39.60786703448189,36.01674522243464,36.75056440215121,36.73770000200033,37.43826042154002,38.477724004061685,40.88683676699979,44.3587246830415,43.2478674299008,41.49744147645376,41.88233616079984,42.531084043536296,42.6996976576376,48.950117521745454,45.13370978404794,45.319840337601214,49.84435710024247,49.650570517575986,50.28793621529547,49.210327347825334,53.21770582393985,53.48502647547179,49.6571066871661,54.15453262069212,56.984225168242524,54.5551912544102,57.944644515816215,52.757156319403244,57.82653630485572,59.577176268178675,55.366453829644996,54.26363215655277,58.7372537002231,58.85898907181517,53.750932257172465,54.242532808158515,51.822728427633855,52.76253507216843,51.37474819012801,48.029262833314704,43.71325544886437,41.15012975262808,37.34789060983696,34.70677053750399,33.213186010916274,33.92609083973736,36.828863788742346,41.0386522501371,41.08766146904571,46.77952103065381,47.46587752925013,50.1010316977063,50.108770866232064,52.02457796609337,50.96787059559946,51.46339369323701,49.44888239771227,50.73270315646985,47.8428785557968,45.7922678630354,46.67172322564119,47.14649228269208,45.52498350011796,47.73824891259282,44.465245951855096,45.82960229576903,42.33477051098186,40.68920544576144,36.34628169587964,35.25377667827785,31.34218322972446,35.700972184188394,33.93420025250042,35.927183045932374,38.66481056405791,39.302130824180836,41.353900414099904,40.85883362668799,44.805033563676666,40.653293762623505,43.59891049153506,43.113056204502655,39.159224947252206,38.11780791628732,33.745215018993086,33.556326630875986,29.347882382183222,29.84842145053044,28.481353039026757,28.67733312415121,31.04162569733553,31.271972896995567,34.15519456205144,32.336575805421084,28.982709786811977,26.787983130526143,25.397776969213666,24.83522548212118,23.906922973103313,27.822849565783763,28.143774598434234,31.951003360984842,35.170246916222986,39.63652845431313,39.42518562813511,43.887488063941426,44.47736231421225,45.04676169715729,41.101334418844544,36.97514563202441,35.75778703197188,32.934723001063354,30.565085304735167,33.03664347341323,33.02204437777509,37.48032806806836,36.85516074888664,35.488637871516545,38.70955628159232,36.775968327727746,34.19716987795278,33.48727801136849,33.9138404613773,30.612856242274166,32.647562777802385,30.430875822425417,35.09919092376274,33.34398050039411,33.075094510395616,35.15348461423578,33.49984046289906,35.66476737091956,35.910136021005016,37.39007331610355,37.363317023275066,39.14835024343227,37.988052007457526,42.441103486405325,43.37210784321535,40.5754111536076,43.427806059648084,44.408298147503096,42.23759701384103,38.60369299343278,39.57653330864954,37.506758913934576,41.30406285781247,42.3927037342063,42.891605501123465,43.669488501907196,41.22539138127801,46.5196284833367,46.610427821949536,47.93309932062558,46.60577024796847,43.52416295929516,48.039047897708286,50.30906926164964,47.36667724603235,49.75695755949558,48.21817374517363,52.5966131920517,49.895844395672924,51.71750530021456,52.24962936628473,49.90469326558169,49.24266313561815,47.203694873527425,47.587662460311996,47.683964798566954,42.91477642047108,43.96563496273847,41.035508312790746,40.17396603132877,42.521155475204814,41.350817125200095,37.515729234741066,37.74329566632428,40.49565352083578,36.716134729612776,32.647731252170466,36.6393040727423,38.971378716309076,32.73395825063005,32.74033741295187,35.75449891467975,33.43903489333235,29.46739256610023,32.48555942862806,32.31687470981206,37.492792167503154,36.8413969059325,38.31988700399366,41.51977027018032,46.29191316965171,49.33625939929123,51.335226977843035,52.220418499314675,51.75178895604913,54.54531398598072,52.63072304947972,56.163505978441904,54.49487284345574,48.71315005337082,51.492731188657025,54.16472648898281,49.775805375767526,48.031169861577844,51.42449262769404,50.535485010734774,46.18093872734192,45.77503759633821,43.10663094008487,46.220613918743496,49.23790765833935,48.44844844652368,50.49525279547789,52.74265839766732,50.096289119302796,46.63091258877509,48.22197589024312,48.55211765041254,43.798253193605824,42.935065343940124,44.805702654258646,42.693254082857166,39.82733060777633,43.906677148295124,43.84648982397144,39.39318364768363,40.39328353996644,44.25073483979252,43.346213011732424,46.66294346016378,46.22327207345934,49.57613523412389,47.39051874147679,42.23366556237741,46.00878562859412,46.79060595533627,43.281598456995894,42.37724347258151,47.88540353052708,45.643925910677766,40.643634075879504,43.51959698702127,47.445720397243655,44.69906774311315,40.72258610966328,36.10255090224901,38.6652988499018,34.0571288519343,35.20563224063892,30.437464214550282,31.86627512991426,28.117687142560104,26.341687407851936,28.55321286166219,30.88047476779003,32.2583811352158,35.27294552900194,32.52357705955846,35.9847196506474,32.26085265509647,32.13440271105209,34.95376600550509,37.58718314683605,37.98924984632652,32.76886928870339,34.43563349849865,37.77596157322601,34.86745060576363,32.12947854208581,36.539292618139626,37.84684563046278,37.7102611822694,37.83617655714232,36.93895975273331],[22.082214790063418,23.134744105911867,25.474304186278317,21.945213380417975,26.09480955121164,21.82872044708489,22.51852577901216,24.680065960842683,20.78797089219558,21.672090717969898,21.90175142427504,24.749564925288265,26.511348583646036,22.84895906293066,26.59288250550655,29.48875544447232,29.068045848318807,32.35344416681802,34.46801472723401,37.88680641970455,40.36894450724914,44.77437584988604,45.04623889240481,44.56569364040697,42.576987990086835,38.16892413670806,37.36178104947202,33.61342129684392,33.89756337707779,33.655287192293905,33.805634645301474,34.95524797065675,37.057396030162636,40.55009688678092,39.74100826281096,38.24083925221806,38.75916782480013,39.79761906950773,40.32606833467847,46.653850804309414,43.13770562091741,42.96304082842443,47.452478053390365,47.621352747445194,48.489975962924916,47.76339129763669,51.78819965049814,51.70276247853678,48.062502034689494,52.81965334678482,55.34721834269581,52.678071341097194,55.78489075811297,50.54198305929322,55.335295080359465,57.10647667931743,52.948494480453455,51.511084782099516,55.905960696185524,56.30243954449708,51.065336009559715,51.19989996981185,48.558789049280875,49.65887370819196,48.53361877626505,45.0848323384692,40.742183862039795,37.944455904342924,34.25058428783734,31.279202240861043,29.979434332169475,30.577045026913524,33.246844403448726,37.6673983738933,37.52622471153324,43.09918324068438,44.05133418062229,46.45553701184015,46.70372346390188,48.89027169174288,47.84353337698791,48.7023676774493,46.62546358691576,48.25125505070886,45.568088372947194,43.14560009115545,43.858492553437294,43.99415254771468,42.32070966602956,44.119736838717074,40.79592615662595,41.93768334172018,38.36470713898885,36.65067165163419,32.425121475343374,31.07688697363046,27.302430864392043,31.79594152228001,30.206628490621462,32.28395414126109,35.19845813517437,36.255213353723505,38.373015877638636,38.33235079420803,42.67861181357238,38.78628942784024,42.00217418279213,41.91138238414283,38.14390984740543,36.60983634120028,32.39819299393106,31.927621082657392,27.45584120684255,28.140615916131516,26.23823023884491,26.853085509467995,28.86281234241702,29.577057418475714,31.951037207387714,29.66841491759399,26.50947404629569,24.270052930257243,23.66310368812193,23.136843937214522,22.233638653645432,26.680611167121782,27.036735716493897,30.888073736278304,34.23403362786648,38.41482755765141,38.86559769934774,43.207890021482925,43.79443192926956,43.8534458108617,40.247151626884616,35.968414805746185,35.476235505272605,32.3284053615583,29.893445933503195,31.929689492607658,32.152482370538586,36.40350001191774,35.240585244595486,33.85716390681996,36.8253493094213,34.47680296374731,32.12011228204951,31.120541955350795,31.665613206762565,28.170615486772665,30.325618152987257,27.641973120297834,32.292237502899226,30.439064880455287,29.660924490834876,31.918044237910838,30.348873746202575,32.92204275543655,33.05138655906312,35.14960749451585,35.46745975147106,36.866255073344696,36.30551172215705,40.52935197066992,42.060513401612035,39.70696551083172,42.755007254554926,44.11771130813459,42.15104565180508,38.33939303769681,39.05402739011007,36.59720665545171,39.954788719223025,40.67893102226554,40.78587177478883,41.32831739759245,38.532942235132474,43.78273886114506,44.19887589278763,45.66920217849295,44.791739612954544,41.77184478897144,46.60152605560669,49.05581928132396,46.116569617517,48.22147160038592,46.40302862478515,51.072051230585465,48.714636288092336,50.66545948221762,51.50952915200541,48.96669777993496,48.643737662325215,46.697098583325875,47.16826831331934,47.536995968608146,42.86804521505754,43.87740961051543,41.15181845776858,39.80353870164601,42.42300945926673,40.81508604663876,37.00456910863558,37.8447642264276,40.444822813254795,36.34999510603898,32.89820032545985,37.001764974335686,38.81602121922391,32.63592786756772,33.147462972961776,36.071501887300805,33.26601676454498,29.759328175362075,33.25757087722846,33.330325925290104,38.36470174523031,38.35665643565974,39.345885285843494,42.436592068937976,47.31038599787782,50.49507079494067,52.385401356286295,52.803453200327276,52.20390933352751,54.797733071648004,52.556984885122894,56.295121518473934,54.99301528424825,49.0535516474444,51.6137584068454,54.68636910846015,50.48709938436356,48.45858543120813,51.77813932203432,51.42729931631307,47.12197538401316,46.198071401733515,43.47580851422966,45.960627826760636,49.036499985755555,48.16960247537361,49.83097496171269,51.9678201063625,49.01018067805655,45.876602289482534,47.5639919874611,47.45770726181843,42.69153218803148,42.2764498711478,43.94329498071419,41.62245610103399,39.125314536519404,43.43432842938351,43.127426971328006,38.664558426169194,40.19260796123645,44.13504566229558,43.448883116831944,46.643579764684745,46.02674324258784,49.6408398689354,47.75792013209674,42.525737222193904,46.27380762625361,47.47462864701231,44.07099347869575,43.02192227703654,48.751010931134644,46.91910022356743,41.829617176881634,44.53297101039901,48.77269781878115,46.36520007649032,42.34653056991335,37.69584503791721,40.77747459624811,36.29789437535331,37.20334583574509,32.18456932100763,32.98715403202504,28.87098667790637,27.792706075832182,29.829165821050214,32.51162370565127,33.48778491533104,36.08982345798454,32.76806598461211,35.847106082701714,31.80146871167449,31.56409808546209,33.823604842773825,36.541046208201585,36.38540426813542,31.280476011295136,33.4091919722219,36.3742776529595,32.894064531520186,30.83770376034839,35.35693225178941,36.201908657057736,35.92003894599442,35.95820708418333,35.006007087509104],[26.200306558229695,27.38767405462207,29.99359426216769,26.30672964710505,30.837142831564734,27.070978672107707,27.850250243994278,30.22693090645638,26.334257213126865,26.910327734310513,27.070594355625296,30.087403047499578,31.630654049531728,27.659220504729497,31.288410627225197,34.31623889604262,33.666718065174,36.60282844296278,38.18064368303026,41.90172303225718,43.997713752785046,48.496980869410244,48.40850167099215,47.743774587264106,46.13948184971135,41.72974708305204,41.35636252934707,37.834081423637244,38.39202554348688,38.50762921455732,38.3014620041635,39.92947033798646,41.92126880578524,45.16828963982086,44.48857487296053,42.804638347689306,43.67101711984998,44.34964101782829,44.803187909046876,51.19621906549484,47.329745733061706,47.009227083276066,51.51715765319946,51.53083378412832,52.054287691952744,51.25713050250277,55.20334962492485,55.455471210882415,52.00114963886507,56.66229393905403,59.410729257760394,56.884311114519775,60.042539510721305,54.92704624644621,59.86576111229564,61.33543187921474,57.05163671667591,55.858683068128066,60.16066044672348,60.24811366750176,54.967720166772274,55.09245470470598,52.54827392061457,53.210361641419354,52.17815260859473,49.015805153950765,44.28911847948969,41.815813469887615,37.74352857117437,35.0254104445317,33.36876483509476,33.48508341899855,36.60670312748425,40.94424672772655,41.35091240181581,46.793258072629975,48.05197115436893,50.61845292605659,51.04474787080938,53.25159374492958,52.53354098609611,53.427516901021065,51.65156670184012,53.22254094575312,50.365738896520796,47.991581634694185,48.43296765558675,48.81794524988948,46.746054946858465,48.62975566420009,45.06849830061596,45.91083985944679,42.48116903600392,41.0577484664143,37.00530507942447,35.4886680374906,31.906165146166966,36.75774930174933,35.42660877015864,37.70517689243728,40.52186090660844,41.795776073153164,43.74114577687782,43.83023385792019,48.04253199491029,44.1568493632646,47.37203450575786,47.10031314903495,43.29780129887671,41.967123855766005,37.689345760205086,37.147642875648906,32.739649131984066,33.100013760229395,31.08469332129777,31.28844888186134,33.107221739679304,33.35191182610489,35.43266915112848,33.63588210460726,30.34079127577771,28.513061204691304,27.668318651000572,27.59840008928414,27.112608292596644,31.394912001355713,32.125256413547554,35.85357069212523,39.220089094702026,43.47864117429616,43.62951925383585,48.08070843219276,48.5000184297793,48.837694088527215,44.93302251581861,40.67800513696867,39.85555185090693,36.65083535079592,33.98639289071564,36.112396855265274,35.67312265485833,39.85837133498062,39.02236908304944,37.97629005922999,41.093312611666505,39.04604766338227,36.731333818983984,36.09783208697848,36.863903890614175,33.5464851119943,35.85452766848423,33.26039339883959,37.93066926760586,36.02116711195395,35.1962975042649,37.48252288508939,35.83655026400253,38.45883360822279,38.39638197178675,40.4946750867086,40.4727789764866,41.73656815172193,40.80496393452742,45.12852424899312,46.41560801108476,43.72511409300064,46.91255370931186,47.90789495987303,46.03229652118372,42.25783967325963,43.28602543791011,40.96366687795677,44.57862387299187,45.531191389616396,45.78055480768075,46.53839482146065,43.70448329482227,49.04205928499617,49.250554760074756,50.825208387859895,49.683864339190805,46.890775667049716,51.54301374276842,53.83579555778373,50.78618692068586,52.77345141016712,50.86728300404016,55.366265559262665,52.62652861203472,54.79978974348194,55.574193456241495,53.28821984865614,52.94619866718205,51.09407453022327,51.659843832027015,51.987579281310374,47.27949067858069,48.45724619432296,45.68570889303915,44.666491341226,47.19509907843975,45.84785954830556,42.00419285817668,42.50482564045357,45.21245570969636,41.28867760449035,37.46217827349179,41.48382943711386,43.58269413109342,37.352915291774806,37.52172263519248,40.43500622369246,37.88693716116865,34.08815025878439,37.19242060674041,37.20095257902065,42.25906572512894,41.87447975333573,43.30088714840762,46.42991969971968,51.26887690321595,54.26018213731657,56.310757336839806,57.11239737622081,56.641753481522414,59.381092737590976,57.34982305091178,60.95539104250214,59.407986176258945,53.57100092707525,56.25851489683302,59.045005778054716,54.70889967855704,52.85891050292505,56.18037548756567,55.435615972410595,51.10015637904299,50.46307252751014,47.89600538697447,50.761143607832665,53.843755911112666,53.0700879264571,54.93598655446505,57.135636628580706,54.310483324435076,51.02516999428486,52.66603354261503,52.74890572678846,47.99163771413475,47.363282636856454,49.073694185545214,46.8151391889437,44.16513429452596,48.31607695344648,48.04985011079433,43.52818666733643,44.82905053420307,48.71080303429627,47.97683758461722,51.3056074697656,50.85347350571038,54.3221457353117,52.19478965015807,47.045132817352496,50.842558362712104,51.7380638220609,48.24615628049954,47.32375029980483,52.88766437915131,50.71265060746377,45.69886172486945,48.521686766962546,52.510142540689486,49.7955617206539,45.81229232007689,41.194142452463005,43.75477962135412,39.13722043379249,40.28550897002921,35.529667473463874,36.893817581856005,33.04227712481846,31.410591047071566,33.60101059603788,35.94590763742304,37.23762125291309,40.22223202095562,37.25885938657517,40.556122160049625,36.63770233599998,36.59743171700828,39.117667529417325,41.81564752074901,41.855679273632724,36.694883931394905,38.62075121658836,41.721590407751926,38.40156081152764,36.03918687094365,40.49297492054922,41.437262921899006,41.11317648092044,41.182677574702446,40.23649797365189],[22.596652290259748,24.24575384304504,27.52795528656774,24.36863551358084,29.503590440396536,25.622871908205344,27.16162414793939,29.516435789043726,26.12604339931701,27.579802423822795,28.041614728213986,30.622280459241928,32.60846057956158,29.17925020761387,33.014399043068806,35.83483368533919,35.40441098288451,38.81662853019507,40.87303749084966,44.267249872106696,46.72929275127171,51.09433904378217,51.30356941605791,50.64536320197512,48.695928477186825,44.33122274150504,43.50483438158887,39.7979848497109,40.22075181750836,39.90803029404794,40.27795605345473,41.18977095919005,43.29580240074453,46.93050769982445,46.10418288137747,44.65853493269306,44.97792651991092,46.0485938380253,46.418118521144386,52.67039075934479,49.084338550291974,49.16130880301025,53.66688919104169,53.65415204768165,54.419680369438176,53.454138694712896,57.47565732035609,57.601558221214006,53.78752438295145,58.361597094949424,61.069600637391886,58.537343673067475,61.81886144042664,56.56937669687061,61.46725994908253,63.32683979864598,59.17044443536686,57.832126731024985,62.278943770235905,62.61610636731474,57.438939726948554,57.69217672133813,55.08879793889597,56.164408791882366,54.974423130474506,51.54623977714911,47.21122683341085,44.469587885826904,40.738238006082774,37.82701846888099,36.469764433788626,36.97551848508066,39.752783185405555,44.16345187061676,44.08119759181064,49.63906519141383,50.59705831084052,52.98305726893646,53.19786097831572,55.333028191564146,54.16975696747415,54.88400769913838,52.644089672336044,54.12884010955806,51.43721903782486,49.20954936258561,50.132290662326994,50.26544781893513,48.7668948453179,50.57008928720123,47.30813044637871,48.43827075587413,44.832432993343474,43.02863221858532,38.81012417210197,37.38109045693624,33.641985639534816,37.936882561671425,36.141133601207244,37.70005121214798,41.03273122381937,41.603482886313614,44.0881134938132,43.55149352520994,47.81924957450742,43.61907735079382,46.433108045514096,46.15677784659765,42.10653717248221,40.9100068844323,36.6002754818415,36.762243819118275,32.50485185937926,33.41957202371176,32.06709983513996,32.58490146358808,34.90854200952784,35.396105516285125,38.10322276472839,36.016549072271076,32.77525564226308,30.50265569763098,29.45915595750342,28.753283974389245,27.55717228613243,31.576392674008492,31.3380723621418,35.36099178649274,38.46559605816502,42.95708197838071,42.84472244670752,47.20366091334998,48.067650750795714,48.48381160371048,44.794796977652815,40.69494221551591,39.531518980787794,36.8995465117663,34.69684762990834,37.144673275876904,37.3560936677781,41.80141204201596,41.007833308484855,39.55673057502872,42.6682979927749,40.48717682001437,37.96103054867852,36.93796575939752,37.179264808169634,33.598934378987714,35.285456111998634,32.634670839264636,36.97228467484171,34.658975075461036,34.59421703693821,37.13506970302808,35.903041695996734,38.19950064954035,38.772537773328494,40.442356701388015,40.87737624093544,42.697345174202965,41.89179668975662,46.24886349056362,47.384916773761304,44.75432644270735,47.5151392350404,48.62716426473543,46.34986066821274,42.74851869474106,43.58187565242729,41.49760411654478,45.14922531984497,46.053808015979726,46.38276369737942,46.88692664916398,44.36708744117339,49.53235246100832,49.96994877433882,51.227750668302924,50.224551867622985,46.90252377471226,51.59631295115796,54.00804203209688,51.166287431429325,53.6460281889832,52.1140240345061,56.62065191703894,54.102230885854866,55.84488303323473,56.39699950925452,53.92155147218069,53.210481877429125,51.05938336761763,51.30158314475975,51.26585399230226,46.46644812844732,47.253605614433745,44.12734595774044,43.1117423889265,45.151302642047625,43.78774773806364,40.118218927425,40.23657243004326,42.645479910509344,38.7596255220737,34.898497308738094,38.56774614164405,40.52422390208845,34.30630558226972,34.213575720149045,36.87894698177266,34.42199511264979,30.50954534200287,33.30082232213348,33.55255300049384,38.362736981115006,38.35298456741163,39.93899186412393,42.848212193650234,47.82607288878147,50.50318333206645,52.82468250227837,53.82791966855653,53.661075019390125,56.57815847462674,54.85204067188002,58.53484092528795,56.764081350453466,51.108841969891536,54.082366835428545,56.82856907242557,52.41747159168186,50.840711285733676,54.419897146163265,53.4826713399845,49.10214362001328,49.024136369951876,46.010550657805894,49.165567959145804,52.026206574694676,50.88064675501875,52.90978044050316,54.83717098786213,52.33881302178722,48.99483887687366,50.14808501267453,50.376112846986466,45.78536771313119,44.771825543286674,46.24908065128246,44.009915884841554,41.250894859098544,45.114045965397516,44.74738490242155,40.14201041467297,41.29879515465728,45.091689719617946,44.48852328980086,48.02004835210102,47.92343217963366,51.34616578214119,48.87427524873199,43.965723319440805,48.03903574743361,48.67026254299737,45.11470770498056,44.64958432418726,50.114543052874936,47.68798037880955,42.891174498014195,46.10992588965499,49.86241331889135,46.960726717618755,43.09524911977724,38.42731524467937,40.88076477427798,36.22685839698114,36.92320598164793,32.37098819052526,33.85134350848851,29.987066966688282,28.470953200816407,31.02759413188491,33.5060349435666,35.153773828020604,37.96657729152746,35.47300046702516,39.00825414165365,35.415671765723985,34.591387746151696,37.35740841648895,39.72136757138643,40.03913876566972,34.73831869080537,36.072320296058805,39.26183255521892,36.37002741786629,33.292933939319155,37.54793964595415,38.62798299658625,38.2858660599512,38.48381835866594,37.650322529017004],[23.27148661736972,24.6356850039197,27.772828640942716,24.349058627484794,29.681798912314186,26.515603395612217,28.117876018260056,30.913533187775194,27.70866483204899,28.912707277398294,29.703190805109635,32.567261299041434,34.032775131852134,30.486400157680066,34.60453033991166,37.35798817796961,36.491567570526435,39.8788494828845,41.57347409015334,45.0191924094061,47.31280646871233,51.62519866498662,51.664368418202486,50.745319408175156,48.9235997161965,44.62256346729744,43.932326980930426,40.394357968721586,41.192413945071614,41.18055139675711,41.84299338451444,42.87072092211713,45.218359170039676,48.72467470480093,47.67192543528797,45.94669826979611,46.31512137026732,46.960973086240564,47.075038802947255,53.301175106580864,49.415150739924236,49.66290035200593,54.19172830806757,53.90953052219845,54.442299478175904,53.25951707776281,57.24148141022765,57.65837711777926,53.80306908732974,58.19621163644048,61.13666336960022,58.790516676613294,62.252817780990334,57.0876705822595,62.21048720406421,63.94560837489167,59.718019902230296,58.68337365035754,63.15552122749436,63.20909384962421,58.11263299653096,58.62444314676498,56.21771868493385,57.07206973980998,55.70141617883688,52.414894588644344,48.01990708467714,45.522130079468866,41.636399928577866,39.02859392190512,37.46193212143507,38.00998726671477,41.02825478540513,45.24963020916515,45.416409850375224,51.06200139914999,51.85126304134891,54.48188791692759,54.5396713271076,56.46723167329686,55.416890724652475,55.886407648649765,53.838563885411894,55.07615133626658,52.1720007958615,50.191945988965955,51.1068587179776,51.58767481629196,49.97056721344189,52.15084272282991,48.85138239452337,50.11907840781314,46.61910411926939,44.97114685280901,40.6746307268674,39.461886020247576,35.615790363957316,39.976883163472806,38.17666478197364,39.9518421351513,42.92283319538769,43.40461779534045,45.62849979432332,44.95370573307504,48.87624035984835,44.59777856132556,47.34868871438811,46.76922507791656,42.688680794770605,41.821122622441315,37.41914836636883,37.52452226174898,33.424134050264556,34.008503007034015,32.8353247001307,32.96204510277389,35.39220075410497,35.47560897826961,38.39529254856408,36.7147612859741,33.32520498899035,31.192841380656844,29.65935738437453,29.103264262405347,28.11233650380224,31.819243365190868,31.89367306742292,35.7517432623081,38.84029338754353,43.440467343054905,42.93085871842385,47.39115036140954,48.09732283401457,48.86687694099445,44.8646683559551,40.84329910425445,39.27578495171931,36.70740388671158,34.42541692483885,37.06923105284829,36.93845641138064,41.44011554238399,41.02111346206202,39.69111581091722,42.97845966681454,41.14508164931127,38.52027742577703,37.83153065431586,38.15638764242855,34.821943659459954,36.65001092557238,34.40103084604296,38.89889599837735,36.876127717998656,36.89838118773042,39.16247391569292,37.684788254776706,39.77356454196745,40.20129565367501,41.53766121663696,41.55139390828692,43.48156374422121,42.19407334992882,46.70014750332712,47.43386593437249,44.471785640290705,47.20847911077668,48.00648278389278,45.712217819753356,42.204562071260526,43.2768249990887,41.40710162581155,45.35306729039442,46.541563248439786,47.14155456418747,47.91168859709073,45.56450038215129,50.82260071548365,50.92367317105227,52.16876043625877,50.773733119164135,47.58711532825998,52.01582498857226,54.24318515103165,51.339026869654326,53.87355857445892,52.44407893638743,56.72177023824062,53.894687728107584,55.656679910498376,56.04301908221583,53.775970759627526,52.93198987474708,50.81632486571214,51.100032822305934,50.98720626877522,46.16809498569017,47.124843179046444,43.99323605508832,43.34581348934701,45.36449748168193,44.34894210976833,40.6063977393042,40.41808372000117,43.056087490647386,39.42136530021684,35.13353712402129,38.84167535431569,41.25443345899851,35.03254068960263,34.6716320504387,37.50573183760848,35.41701094527989,31.23319249208796,33.772554367716815,33.709998221609936,38.71130813803859,38.01965202259753,39.895053659086535,42.97158109275456,47.7757066628412,50.488109270989035,52.75102725994599,54.016150501888966,53.81371162854152,56.79719893577239,55.198272258541735,58.6763579498586,56.72329609656019,51.133066040634226,54.145619735967166,56.59346977614598,52.085213910120224,50.6203162893441,54.14180163677524,52.87802347146657,48.49748950351298,48.59252841022326,45.803486032968756,49.30686982624854,52.19908401511655,51.26940293997565,53.52318792280055,55.649879906422875,53.26336852928101,49.69355617146547,50.97942684636701,51.491142521453156,46.85190203767812,45.659742955057816,47.4067729265825,45.34010113357709,42.34581385360772,46.14526818834979,46.03781669771299,41.513162284194905,42.299184397412816,46.046970067764484,45.200768502296015,48.71091632765126,48.58633570748702,51.80875509080019,49.27011745320907,44.33293267281711,48.281542303721785,48.703044470023755,45.114035166353226,44.56246752095318,49.87356516083273,47.25612471096754,42.461703484155514,45.62880442658446,49.2236685335985,46.158827800256766,42.298430900360046,37.70789561978168,39.798209027334636,35.102589059726164,36.164641905033015,31.758860980678136,33.64604571445536,30.111270521039867,28.04061916027199,30.541704719262466,32.67505463470256,34.46409268505962,37.62296982717249,35.385559405199494,39.08798717051157,35.635119160269625,35.21423978217129,38.279809308889504,40.71098998223545,41.350832701719746,36.04678797035841,37.281721463349186,40.715952458351204,38.10339454677157,34.84701340828901,39.078857927022916,40.4790141869633,40.28891734638423,40.50412129545734,39.67531083364146],[18.601692436318842,20.31349450231198,24.060548395104465,21.283943831051882,27.135956258204846,24.119423413509068,26.504099547449954,29.31797214751725,26.84302768648055,28.854656459781665,30.056820218164912,32.47986591995208,34.18033341120861,31.290947269130797,35.6229770460335,38.06061725776714,37.32544217381693,41.18531136051875,43.334115629421476,46.36007583679014,49.03018624267813,53.13020788631028,53.50644268469884,52.58054126880456,50.370496856502136,46.17979118782858,44.98285064571074,41.310965526892204,42.01523808470342,41.59871638486428,43.00281341243377,43.24495418659763,45.79044902610475,49.640581068186826,48.33844691060234,46.814093813074386,46.5698133422462,47.538341277848765,47.504988004550945,53.49330180409924,49.92849160648744,50.65637179825363,55.13912108230852,54.79473421931796,55.59041418482512,54.21100183891351,58.245442489638656,58.520356166660655,54.27572995670849,58.52038599395689,61.40269336252406,59.084710720197954,62.68422177990091,57.4177310561621,62.490982269452815,64.64594030515991,60.58679008778089,59.444694834449464,64.0619074221465,64.35961893711932,59.43616613925185,60.15392569906144,57.74597671961371,59.04385146736491,57.44603406769511,53.895310869700005,50.00217060291733,47.26479245028608,43.79724384319714,41.072738426138805,39.82951986426357,40.8610313178586,43.48844935334522,47.696616017355026,47.33742855158655,53.10310044656522,53.45792796108236,55.93420151189783,55.682014524443396,57.44458725843134,55.916272867126345,56.108326269584786,53.60488642431339,54.66822216038839,51.93682274486474,50.19905768640463,51.650185661724166,51.93305867458077,50.959025287125144,53.14930504223426,50.22277672597144,51.88338016665745,48.25135848783854,46.24544896105336,41.779578066820925,40.796526338168185,36.789644433443414,40.46947235768526,38.18756759593922,39.26028761621364,42.55348011673011,42.227245664796584,44.89551615734833,43.50587482656384,47.32908384832485,42.75184231761534,45.021512728721156,44.37757117398953,40.08508246782532,39.44759929506768,35.06958404008,35.91827410223829,32.11921232325544,33.22338345912279,32.8484614511043,33.25590827765635,36.20574985963644,36.52364633033196,40.123861614397356,38.19060200379274,34.91024363952312,32.35298870434717,30.58496084021008,29.356542725772087,27.650204131720056,30.89105272077722,29.948901718512854,33.996931736756665,36.73268578967314,41.52336190134127,40.68280259341346,44.996819404226606,46.15571244858628,47.041434127420324,43.28999623493522,39.511168413069676,37.566092263251896,35.688799781135536,33.976892682509174,36.92723370864709,37.53468265980089,42.249668238538185,41.89234110520889,40.13000126537116,43.37069359689982,41.465812677896075,38.6359054736591,37.591796858829355,37.35161135843779,33.877340247503334,35.036191738033246,32.93997650590638,37.05408453393478,34.81236828883772,35.67276402365743,38.003399222771996,36.88893032410677,38.49926900936938,39.55364437699324,40.297089917565636,40.71245281179697,43.24800232767156,42.04568757574818,46.54039936874363,47.05019163572752,44.18643727276906,46.39875170427999,47.32155286767173,44.60933422077279,41.34618220968771,42.18365382766796,40.61932893574102,44.56622557351663,45.7210373973767,46.44883698272509,46.990195318142284,45.068179540777265,50.094320528265364,50.355735882898855,51.23417130210582,49.92871872656508,46.22575253013352,50.601493826450984,52.91200542424746,50.26103351256334,53.32227160865717,52.342073936933936,56.56214749746787,53.99906937826852,55.25440214269246,55.38270138153597,52.93113514908596,51.68122094266059,49.259197851909,49.188696525417555,48.68291450875713,43.82161706505944,44.3550849120726,40.8868072023578,40.28938622704572,41.777226986478624,40.81662415142811,37.287644071472094,36.6572884189369,39.00380552943671,35.50512950495262,31.157656763138174,34.47105164674512,36.82210759610806,30.69095673611678,30.0148510084363,32.632640282436185,30.76612917263698,26.446802549701044,28.60922071731821,28.6915703682888,33.47727193436106,33.03473670912307,35.05434734579354,37.93726096603636,42.819427923399424,45.26399364932525,47.73674826747752,49.19131679467062,49.25245786667005,52.389880216842364,51.102162224930815,54.60907593720516,52.43908692075641,47.0605078092294,50.3338752275846,52.708798233012416,48.1529737980969,46.97185058564521,50.723415942830556,49.278344106924045,44.88502572901151,45.55054709188653,42.333734696882864,46.12749760949097,48.77007274748733,47.50685957780307,49.943625761763904,51.83258646848772,49.81312512280403,46.16135722417835,46.992839618942064,47.7224760822837,43.27423735149303,41.66715793214335,43.26118879591157,41.29657695872406,38.147165494206064,41.625983172414514,41.52701873607465,37.007906769084116,37.51734743182168,41.146981649950185,40.34486446701031,44.00182114111186,44.190648304212786,47.30789807096352,44.46547193691028,39.77180873877307,43.92834542269122,44.07855786528108,40.450273837724176,40.325857958707395,45.49693175929435,42.66006447989742,38.099906337644725,41.62548750731875,44.97224622387013,41.76358526149816,38.040105213042715,33.43516841551946,35.44977150696596,30.76163637304294,31.34926603089327,27.16125043642679,29.1526745275638,25.700853211462224,23.72349363161553,26.560577063745384,28.801077481326452,30.930405517760047,33.86460335289572,32.17720389949193,36.08302327604118,33.06097787454995,31.89092160806385,35.23726375294783,37.30417279718755,38.31897890906379,32.973701171886646,33.55023630918342,37.10904775970157,35.09682103477256,31.11666141374106,35.080560622418076,36.747951733773014,36.63289146541144,36.97085046345838,36.271638808871565],[18.65356783443277,19.308557930299,21.99002530028425,18.2913670762855,23.808779349709788,21.647897290216278,23.536139659687624,26.951595303065186,24.46409122553227,25.729949868221087,27.33244266677787,30.314283743853867,31.048975886741875,27.90928550970107,32.59117622326516,34.92489492339292,33.53592899601292,37.288182202671706,38.95652284811039,42.02069261625328,44.47397090692648,48.49257289236281,48.688740672572024,47.506577532151795,45.42379199658041,41.31766411939654,40.2937622938244,36.84875661858119,38.02677087821069,38.095153578747905,39.83791099088709,40.36678449133289,43.26522925946533,46.81985941258869,45.18602472293937,43.222806730437725,43.157012406134534,43.471248812982324,43.15312631477907,49.13901453170695,45.18916924392242,46.02644369941271,50.5223977457334,49.90317768783609,50.44809356123683,48.907033369165624,52.89593161630204,53.434892363294175,49.22756696093495,53.343733888198564,56.43390670733956,54.28911377891157,58.03371697081419,52.89136634485624,58.216710685438315,60.142726199542096,55.98879607855094,55.21904948472901,59.83478423288276,59.773769228530405,54.94396523970458,55.96931407813301,53.8328556099092,54.84938953796061,53.020209045774585,49.656436299863266,45.72795001691187,43.309484198994475,39.70287054398527,37.405123558539586,35.93196253792975,37.135112560743515,39.978399215302844,43.87416062832981,43.79678159644274,49.67511441674651,49.741463819209365,52.568938039612476,52.09145819142066,53.56641917258761,52.269904174387115,52.18825534671127,50.07965157594309,50.86696359308735,47.826962004230374,46.3349000172942,47.648113453707566,48.445754993701485,47.208971981012795,49.94685622868188,46.960121326908684,48.846309897944714,45.40966925414995,43.68807973109213,39.129507382702016,38.544424516247204,34.39146815773719,38.22349110983446,36.071513464404205,37.80055612923859,40.24580370636725,40.115562760750315,42.12082956865159,40.871421532739895,44.221034753969626,39.74578393468494,42.2361137688391,41.26657674232579,37.12663375613361,36.73420341954672,32.25978921009887,32.54244296154095,28.830823343668467,29.2566490646964,28.842396054817456,28.70852988571323,31.666586917315726,31.526865190878805,35.30486681216896,33.84763610133075,30.426475605003887,28.07690330062883,25.780139613108055,24.83169079441219,23.59250111046872,26.609915437020845,26.592615727392296,30.280426210535097,33.20150391467936,37.95769614621429,36.931023700304955,41.4315468013843,42.13018129125881,43.28476724431517,39.08954459281714,35.269250691149786,33.178611563499835,30.99482645422842,28.991564829203025,32.002521356470666,32.1513709482498,36.862288322065886,36.81797329964591,35.248329654014704,38.66049244298971,37.17140938341711,34.29278724382854,33.77067096988962,33.85021895789293,30.825547132234632,32.53077259376403,31.050276267899093,35.63006718862685,34.16914068724133,34.643469667883956,36.34434206202315,34.62687824093241,36.09481026064312,36.6185955506789,37.130871425973105,36.81067271925623,39.242075319480854,37.469091278062194,42.10665711261571,42.28147006796244,39.11097264598089,41.494388924227096,42.14827987012605,39.614669957138055,36.30117336223843,37.41630836883846,35.897455318468694,40.10608485303234,41.56798599047024,42.555112152984336,43.52884634615379,41.68585130194521,46.902023180696396,46.63888845893505,47.64702070463859,45.837170760852196,42.55037398853353,46.63792391508818,48.71084499013832,45.882418063458466,48.76755274147115,47.7443275698583,51.74883358425582,48.849250504595084,50.27538312716646,50.373743380968435,48.16338192826675,46.99859210533798,44.76946452176894,44.94283281235306,44.64620995061545,39.81451228612805,40.80001241313269,37.63415279207263,37.325028151134916,39.30135176357558,38.667066356000106,34.86920562447596,34.38097342158892,37.29129826429778,33.96901643307565,29.25430591417554,33.08456373070566,36.045225327214624,29.888014343384203,29.35066731771928,32.51019670906364,30.86678436118481,26.472030417850874,28.960260930715858,28.36644503315104,33.72148571599432,32.20606877425141,34.10914786800377,37.45917080684083,42.008316646979196,45.003536847447016,46.989302407618574,48.29780113669957,47.898682200262655,50.85630992692201,49.28729257471914,52.55162680424908,50.51840669885807,44.9424924766272,47.923459211245365,50.151549512041015,45.605149759754894,44.1743483883287,47.634588801282995,46.20540426886689,41.83527811129306,42.01681083387535,39.374278637055404,43.155825041380886,46.055199294399635,45.36288056601605,47.83689199649349,50.22226289862912,47.96922964181185,44.13190789497168,45.6429389947062,46.51728989788274,41.821445116965435,40.45370000985182,42.636445686316456,40.851847290732685,37.56141302509299,41.36463402385918,41.70688162539246,37.41634816174648,37.71546220065054,41.43361143290519,40.18518391989558,43.51539234068957,43.184945788647724,46.188464403966925,43.77485595779445,38.702322757991645,42.39338640483249,42.75293028106074,39.18725391902217,38.3704682405576,43.59812050680188,41.00793915850817,36.11731311622569,39.10936889831821,42.70980901564719,39.69408186665561,35.78024882901959,31.244004521947026,33.34736020272725,28.686775306380806,30.100751239115592,25.583883468633335,27.593181346699435,24.37278737133609,21.84653132980274,24.131665271740875,26.054729748776097,27.808680351683698,31.173293890805375,29.1194140244244,32.95218314061564,29.72817756156021,29.7028808443131,33.144116411585166,35.630561123256754,36.75216164939998,31.539683742482158,32.638023394549016,36.39993237029309,34.315681931824265,30.893524181320455,35.08501008345975,37.028181101632356,37.175921606834336,37.389286173396634,36.58153744095554],[19.704959481341486,20.763075088283042,24.108860501024427,21.078689957303443,27.111717564825167,25.465804248113162,27.96036155359356,31.39090547668186,29.370476328060324,31.05133020718131,32.77448737731936,35.51348166765282,36.42522045288175,33.529589704006604,38.23832024864712,40.484900123287595,39.12380968400303,42.98388294778039,44.65768284229317,47.62811221558413,50.0978370574656,54.02569005518835,54.21841912746921,52.897869300278316,50.808516417049574,46.792949008319674,45.69803525811187,42.310809409410595,43.5637520282305,43.538520805521586,45.513635890531155,45.78991437423321,48.71833685867542,52.40040693778758,50.708971641792736,48.80380786105628,48.5212774585639,48.87663460730404,48.41121796751701,54.24644589187933,50.31113546963958,51.40977490325711,55.87465795803944,55.09452282852048,55.58138778906814,53.82427294079773,57.77296438908304,58.46999225950422,54.103140250006554,57.98942694758472,61.20530355056328,59.20973897885109,63.10045360936401,57.98469670655444,63.368328423796136,65.40451038328007,61.297281983466036,60.61805621757309,65.27802287765157,65.18381816983361,60.459840341235,61.62501765580722,59.53981628581146,60.5883664743253,58.667877354565505,55.30214362203849,51.46879423950077,49.07326298185702,45.50702093721691,43.2403121839924,41.77512832166838,42.97030842562308,45.83284683495737,49.71551374266825,49.61307056154405,55.49839560223692,55.492473842888465,58.29781571897624,57.73679374752016,59.12727954282591,57.68847592492851,57.434236763554026,55.1697584873698,55.79311540234604,52.780213344679844,51.50443128815344,53.037321083095314,53.82522583015187,52.80298655463404,55.564899882556894,52.677284377017756,54.620462923850546,51.147285139435795,49.32563128351323,44.747304062392644,44.139878044288686,39.986078117192484,43.618233373150815,41.285166527476235,42.594593405397205,45.31743490579683,44.742411979794504,47.020651454569915,45.31990564999137,48.511411283283635,43.822209420703295,45.88239759324556,44.728506774931624,40.4193106934945,40.38208865947178,35.940095759087725,36.79012603131905,33.38565209709259,34.02003589513164,34.089589364738174,33.93541984820847,37.09959959157488,36.8419374607672,40.86688030061241,39.52068819041261,36.104582137134024,33.71983141556179,31.205835006042467,30.092944868026247,28.617876253081995,31.16161992445367,30.58022691708944,34.27137750923525,36.858285325504056,41.77695598195009,40.22275962917976,44.62129666552987,45.58012056754188,47.06595462840744,42.88974857202349,39.35066537749637,36.68593536920642,35.102461300955845,33.43075369699629,36.70739934135848,36.93871752656968,41.712893951283505,41.96682663449893,40.320199874733774,43.776149043388166,42.43120764763457,39.45090743100224,38.88192704646261,38.67865349429159,35.645181326668336,36.91117210184859,35.52530717626888,39.776685437509855,38.034274568124836,39.08697829752268,40.944758416801506,39.5028749518348,40.691498181244405,41.586789601436905,41.6904212375948,41.48624363575229,44.27488710859846,42.33917153726799,47.006762703846185,46.81309544106266,43.475812324132946,45.49355510515807,45.91740529132395,43.112184653896264,40.11016695055098,41.276767231795965,40.16006491686704,44.52803676661465,46.12218581992001,47.3037812044844,48.227815584516755,46.680389021184624,51.75914005248652,51.50347337719692,52.28586584592277,50.373911152691825,46.84179509838545,50.72044828836329,52.71891984472867,50.04278932597884,53.27022511667698,52.56268821618203,56.36388833028868,53.38744488803647,54.54497379250776,54.34285732180891,52.21528073582612,50.669623256516076,48.26638209302519,48.19514147909792,47.4910574504944,42.6494688246703,43.38265349182341,39.89673676563187,39.95432103388583,41.308597551571125,40.97868142843712,37.413522740612834,36.201640099865706,38.87938487052431,35.91079132637142,30.902257331700508,34.16719470805428,37.28762655361003,31.313022307654883,30.151961254786674,33.00382412408563,31.87269548080314,27.206604932855114,28.824135137589362,28.30098582792983,33.321950347766496,31.612703878728137,34.13017613489203,37.263767347158144,41.759279452355635,44.230168503917454,46.576536714245876,48.48441034217697,48.4887505675395,51.72045031150982,50.69118602088846,53.81267890789142,51.325506203316,46.13543847767055,49.46881487256936,51.29715782666789,46.60915563235178,45.67155106383968,49.31733138310152,47.29899562154753,42.9439753994469,43.998318627961076,41.1397631289183,45.53026938460495,48.159181485778916,47.243727441990615,50.05957759918847,52.25071708933114,50.482991752735806,46.47745007230454,47.49008451076016,48.7245582019484,44.270531556286905,42.34470783731959,44.38105673821136,42.76081088219576,39.24739310132639,42.53812480962767,42.911055149559616,38.63317392102334,38.45714820899095,41.935622110849216,40.70155197536669,44.25878771298159,44.40479807944095,47.11862350206789,44.18409479846749,39.519460638757764,43.402940397751614,43.16041649781728,39.51945127083622,39.275546971038935,44.094015228294886,40.93446813028221,36.45700989498138,39.883716685254086,42.88806089363604,39.41006704285704,35.75024235203508,31.348981859894018,32.66925954962649,27.960052968322792,29.17580978252661,25.367664439992254,28.088376220280033,25.380512573104145,22.426747749843585,25.10796940452163,26.65265288655585,29.057849627487226,32.52345313830505,31.42082655651531,35.56657983368063,32.92258561424248,32.37559822243038,36.19582713811106,38.29352920103572,39.87344361469094,34.64744734355424,34.98561070750726,38.892729755597315,37.44872210387162,33.230095843982106,37.04732116089491,39.25077592105059,39.41230050365663,39.76506152279756,39.08935439084204],[20.186068107097896,21.5448333868939,25.28653062970553,22.811130804176205,29.02900458099169,27.52400140162957,30.373044778551996,33.707317677043726,31.981179254984394,33.99119106000044,35.75842934649176,38.27200078432404,39.3887237501078,36.71239635081412,41.40424817544238,43.581534407399246,42.334471530392925,46.30846379777917,48.11382724310828,50.97814993924258,53.53805619450001,57.407264668671885,57.6762369106016,56.34183235354631,54.17363986219898,50.202217796296786,48.98241996766245,45.57066758463978,46.77066510186691,46.588734354971976,48.71170460954021,48.742420540864885,51.661266991779385,55.47258322648902,53.76635328720338,51.972427803882994,51.49415969977226,51.99792269407713,51.49490209104786,57.22435500599692,53.40605933173791,54.65873710675174,59.096245122057695,58.286441325751944,58.82855932127211,56.986861078806015,60.92842785283749,61.62235778891051,57.13602824966498,60.92066945913595,64.13874510912699,62.184818059265126,66.12652250955824,60.99624774624291,66.3506802708263,68.52534915445283,64.48058163974518,63.76911171734424,68.4643206580868,68.44496162914795,63.7805755040191,64.98802702453543,62.88722442153729,64.05393333368632,62.097135431833074,58.66620726171705,54.952074517787835,52.4879066507197,49.020488217096926,46.69268686215305,45.30847675414636,46.54808292187183,49.331199636316825,53.24657667393458,53.01909962790093,58.90534034363001,58.8452202280168,61.57010847214849,60.95978410000685,62.32860882054378,60.73277757112026,60.40599229283313,57.96317731783014,58.53082327525809,55.60324839552017,54.417575737877044,56.13149007499184,56.81700943212581,56.00979085526199,58.70815240708321,55.92510320459886,57.91824084236374,54.390072754097815,52.44492295349093,47.85419014711305,47.225286594782844,43.07516228991799,46.50759539265829,44.030259984366054,44.99614088218573,47.95950056703345,47.07072394990734,49.592151980386,47.59685905062193,50.75532194355076,45.94488362203798,47.71863377058366,46.528942833599494,42.12826481328295,42.23893149488934,37.86160310447131,39.107107352144965,35.87705300554083,36.74428951187337,37.10596520743799,37.05787285704605,40.35707079203817,40.15790911418327,44.33590432969676,42.92713683709787,39.55354358778909,37.07247281380354,34.53257005934641,33.23594564135316,31.528988699937287,33.85087370325406,32.80109830056292,36.532651912950165,38.891391370281056,43.87152654952351,42.09361715503672,46.372602371899966,47.56534126342993,49.15641950618369,45.110156108177684,41.743105516487816,38.84075231509092,37.64541398884251,36.233400845628786,39.62157852066162,40.06054241607919,44.87231018322916,45.194463046819926,43.43200861825635,46.862000569597015,45.50567088031239,42.47376130558572,41.76897187920056,41.338110450031856,38.242366504011535,39.17116661109623,37.78459447253519,41.7669237598487,39.8088753658181,41.247707176314506,43.233790279141054,42.02806584306614,43.04885191521565,44.23843443229667,44.125752783132974,44.121532761180454,47.13833237671756,45.23903701933321,49.880728050149955,49.56092844993897,46.23444228878124,47.99866211634451,48.393713365523645,45.40652529673188,42.5866437751056,43.68665878689847,42.7676350111188,47.13740835708885,48.72808004267596,49.964790013176895,50.77470374145768,49.4013664400625,54.35130974813546,54.191854679008046,54.810454546542616,52.94575985973196,49.195436467297995,53.00655340699256,55.01401208674069,52.472707608028706,55.93009991806345,55.42244739738793,59.15663853602745,56.25008416818494,57.19520872869472,56.841666086307335,54.68687248541913,52.922414108195035,50.384011040138766,50.12377233591205,49.16570162396366,44.34060363987017,44.834155605060644,41.14774832406149,41.32543208322602,42.25669525256767,42.02584188537889,38.66062066577848,37.06658895281237,39.49458672626036,36.71351536432578,31.68241744235783,34.52080914587347,37.589549208354136,31.797467600386927,30.304898000038378,32.86747418154385,32.0060102441432,27.289301721518495,28.353707270988696,27.97836091828566,32.64732464766137,31.04775520283878,33.86174744716553,36.76171093020933,41.24307129482727,43.325991550435475,45.92764727105621,48.152894611061555,48.446752421493024,51.83120989242351,51.137762157587055,54.215281905021925,51.485839415984636,46.56360959030225,50.111575436888515,51.76262663747194,47.033718605459235,46.39961818076335,50.17965399741772,47.88918762818215,43.56779594926233,45.149170407577316,42.071152139726905,46.73340033789122,49.1552861536833,48.01959033113827,50.98984773924232,52.98167705806176,51.52294983488934,47.48141792869503,48.11157377406201,49.512359026775876,45.255536990545764,43.007781515181534,44.86659486519488,43.329039634484225,39.74217474987078,42.67913487112094,43.01289214336362,38.76029873689327,38.34428679808662,41.64394040969661,40.48890573608141,44.18303469065124,44.6608288537996,47.219977690292346,43.96434668515045,39.618529220329286,43.64700415169655,43.06119037674791,39.40450739538021,39.586233018272395,44.14695594790107,40.6837637376456,36.52745147952038,40.24745921640574,42.88172379653189,39.17225950575848,35.71962393201679,31.427397982329058,32.34270991014228,27.684898950216283,28.57783548248228,25.269902747666997,28.277160682708868,25.846694040802717,22.863852754342062,25.777182587146743,27.18599278899358,29.934688288061828,33.2902276540099,32.740140194593025,37.0040304263801,34.71532550878216,33.70619303639559,37.66894563630512,39.47651465709463,41.28302453257361,36.08032805112163,35.93309750120887,39.855727086192026,38.80034054329663,34.123603894977016,37.66006366252135,39.96404755774079,40.11482386887143,40.555197551274595,39.97605166879228],[16.762197085263193,18.38405104013829,22.402042754590262,20.206671109395167,26.46315178435054,24.51596561499486,27.538416597118854,30.65758818484352,29.059571618978307,31.40755674568248,33.15541230139515,35.4101651316628,36.8055735111805,34.397512547452116,39.01566653713809,41.1113891847458,40.120434107707716,44.25093273456634,46.40522838810717,49.103541133582176,51.887912153444624,55.7248936086587,56.21389462175268,55.05660519731172,52.67494960844471,48.688131145861455,47.224482867541255,43.66051723705297,44.61016232490141,44.144218237859604,46.35443429982489,46.084171895350025,48.95457838146841,52.91689699138537,51.23832699700162,49.648624194718536,48.9609251802632,49.79574796492359,49.407442038917985,55.09185367128527,51.562866096652094,52.83763774910741,57.2510456203553,56.60901686693691,57.398197643993726,55.665464432259775,59.661072488301855,60.08885289378065,55.52021311220726,59.41498488833677,62.440763789800755,60.350322851245295,64.2035259522319,58.982821030835034,64.17777007577429,66.55048047112125,62.59917511058803,61.660127806053445,66.3817019429806,66.61741452667717,61.95107615992081,63.062412653655315,60.8489409486748,62.29013648988322,60.36718073014926,56.76484678658637,53.25353127148492,50.57224386100028,47.335215512661954,44.8122672408191,43.650843316123485,45.04980627346325,47.561648296890354,51.55977287120839,51.0192955883545,56.89615372355618,56.76941423328074,59.314451396553764,58.68303902127422,60.112859092506916,58.31287483665596,58.0494436299433,55.37033375453817,56.04141231030125,53.290092994395124,52.012665133771186,53.881842896704335,54.31389145755693,53.763930221137585,56.26952296562332,53.63144777282078,55.69379414683412,52.08319987238814,49.95848998908354,45.356779655948955,44.73256168791784,40.58275554490486,43.74948122036095,41.135559254423605,41.82042817600959,44.995201321028986,43.930044353939564,46.683880698042714,44.58109319688868,47.91639862179998,43.07854985359496,44.80022355010051,43.798167498728425,39.35965761879324,39.294531977274765,34.9613018621114,36.41091473788863,33.15206063563954,34.35464768706917,34.82685302668747,35.096895136857626,38.48220069557015,38.61803311273933,42.86910261315478,41.12910742693847,37.876431613538585,35.180851476108124,32.86198634484342,31.274712617602706,29.23814940159472,31.644438462284263,30.130132934281967,34.03916041482191,36.34698386958538,41.31226734049738,39.76276653161777,43.95832603511468,45.36357513183896,46.708531841700896,42.9368636308647,39.54491888473839,36.87454561538914,35.764221208491435,34.54063487574033,37.86780149459269,38.76601823434806,43.60874073121197,43.66263529884246,41.689146325039346,44.990615619669924,43.38371669170457,40.35367820377476,39.34651462979762,38.71479966948268,35.447293581989115,36.13142068609152,34.60267570579041,38.42185760544793,36.327764022043894,37.930860849302526,40.01558379929221,39.005662444404,39.99097454460836,41.41377769833379,41.326289959744855,41.67863898719225,44.78603428217685,43.22509796899863,47.7690530816988,47.68645965975255,44.63246560455828,46.3084953275471,47.00775286508564,43.937015062048644,41.066672978249585,41.914393391829,40.881984970833635,45.04186385367568,46.42473708212349,47.51354866570662,48.10163105495669,46.73679308878533,51.57487172246737,51.65348481471356,52.18963715149064,50.602791147236246,46.6326610328993,50.62768353916697,52.79617478401578,50.34968916273296,53.8936548671162,53.41859715238089,57.31538022601148,54.712876619091496,55.52331729820851,55.25139108522289,52.874180296736014,51.1325768655988,48.49589546991214,48.13439851658826,47.175169690092154,42.33035890864309,42.62005528150536,38.86913223700254,38.74253474889781,39.63796321424778,39.138161107679785,35.824042921763564,34.4070618367465,36.656162649905085,33.666051068293804,28.88893600316165,31.719960356181602,34.482072919206644,28.614118456512944,27.286023107340284,29.785156165497604,28.659808959106705,24.026199934529277,25.340262237170705,25.191530997646208,29.84442582788762,28.83232351769079,31.3642365766099,34.181854166690755,38.87681085346287,41.0292710547021,43.65003486203868,45.612305418534866,45.91528064701895,49.26024203496251,48.45196570554698,51.723418155551734,49.14251341148206,44.12030088601078,47.66879075915063,49.605156585913875,44.93669457643761,44.19756939867888,48.07514482424247,46.085191797974275,41.73056318876203,43.184679437526775,39.83119842705176,44.249766392421385,46.63753727198208,45.29119807936978,48.123070621175685,49.96562345660767,48.45327029968513,44.53540721525256,45.042863265647405,46.282397696543384,42.04591928580559,39.86192975073587,41.56348445165776,39.924120954403975,36.43097967355097,39.43482129429091,39.630460093220364,35.30239325108816,35.092509001547135,38.47304760731042,37.45493290511451,41.188415789566946,41.67548858178797,44.41298375973927,41.203099450787604,36.81288493813978,40.9838093065036,40.592155801530865,36.92812120593556,37.176063807899205,41.94025808032229,38.66031080554021,34.430370487744405,38.24116158358169,41.08244784035559,37.543167173724015,34.02982758889333,29.582085989084682,30.997636171301288,26.328646287375193,26.811285028086687,23.19442813561665,25.806313217693432,23.004956817947296,20.491364754771862,23.550724167227813,25.390142376229385,28.035317976953653,31.064517204965714,30.32196193437873,34.516971463462916,32.16912660820577,30.728173478633227,34.570158124222516,36.29519502994207,37.98738500431191,32.74610238497638,32.55724930287279,36.39967069450502,35.29425874969162,30.57464030887305,34.12022065006506,36.33776543915808,36.451175185849856,36.90174150350245,36.351189878344655],[19.08275348989762,21.48796551526816,25.9906321247968,24.228300910595394,30.33885247087066,27.355993286058865,30.342261125906603,32.851478789082094,30.89073245368244,33.53615985438964,34.74215001875388,36.65819845942284,38.84458480952037,36.396974347293266,40.607720824788835,42.91709038532361,42.49361211785754,46.54655752973558,49.00915051462341,51.83563848086324,54.70506582949826,58.72136848061439,59.27595062683045,58.401399439680134,56.02102942125095,51.879551436124466,50.43389112192134,46.67726299192248,47.19151243246137,46.42054119563967,48.003041225500084,47.77117236634003,50.21606289664052,54.317622564502344,53.06254545389711,51.82254356280624,51.22073006946891,52.573914578322366,52.549796343550476,58.3714746661764,55.096749822860346,56.03212395886482,60.46395130105203,60.154587798634424,61.11493183683739,59.662821361694455,63.70713658513143,63.88218582313323,59.446654031336344,63.59652487432626,66.40644715181286,64.09039430937695,67.71319132563535,62.39065630555149,67.3388219932439,69.77116333575611,65.83882173303935,64.53922300840269,69.20884272685197,69.73029723054994,64.87865799735243,65.58198912969866,63.08800402279507,64.65538008510869,63.05453456368428,59.35249464908037,55.68783072446362,52.7686571426037,49.5225030986429,46.62852149857829,45.582997988509455,46.682056640617965,49.09700703751686,53.39281672203953,52.74886345677614,58.47060462036377,58.78106358510411,61.03379667201189,60.74649059866588,62.53798981387067,60.70441987422833,60.85170827086511,57.97656161396175,59.02778411426494,56.51600660491525,54.8529733603384,56.61597984429902,56.60728221354721,56.047439707029135,58.004234162662556,55.28510524313804,56.987352253931085,53.24365800467786,50.98244853795204,46.54394392054945,45.474833031095095,41.53593278066094,44.79766854705064,42.2676009691678,42.63119547045484,46.45958542468622,45.59472793197397,48.77785942747139,46.9171550300434,50.80345197133152,46.048500961272275,47.84709021566381,47.26220361216106,42.82170091925927,42.30789784228399,38.077439837374136,39.627968243785126,36.08707473268695,37.68110427447404,37.765863865608694,38.442607941936934,41.59692377414101,42.108019094615265,45.92058512069449,43.78741721385301,40.61915667204065,37.87383230798674,36.15259370405912,34.584741211408726,32.44247449965834,35.37719357103653,33.56063120054047,37.72633145289452,40.08945171602459,44.95389758236684,43.88651709813719,47.970244805762114,49.58222625306697,50.50759266883746,47.08302102882912,43.55328644117597,41.34870068055383,40.06952851746243,38.791464125225524,41.88631588368834,42.92332773400069,47.70482020076497,47.358564337390234,45.36833652940409,48.523596394256394,46.49973959987643,43.61013860117808,42.242518444368365,41.584798082692274,37.94144093453791,38.453206213863076,36.239809955232666,39.78288359217221,37.062895818289036,38.60268737699815,41.24556999595107,40.64696626486526,42.01014902972048,43.63209933951705,44.097729988599085,44.991821073075826,47.883665065958276,46.88740565662671,51.29792929108001,51.728688409838064,48.97745645682172,50.79397757329604,51.77639987076913,48.769797255990156,45.75238279630032,46.40964267991781,45.093121744716036,48.959265110129905,50.0163635968072,50.74699928042816,51.00180074842952,49.32611551979045,54.08721174444515,54.63238763392957,55.232445039277266,54.14832794810234,50.02597875881242,54.38725687403135,56.78490794698213,54.376940692045316,57.8029961687051,57.11902383027882,61.31440026590386,58.96736352564357,59.87253577487122,59.80942341847075,57.241186544195926,55.67504415689099,53.01478881931653,52.620233870750326,51.73109812460597,46.89587266546323,46.9694916373553,43.1630438393529,42.60251083021685,43.393711503533964,42.43303875641883,39.27203689742542,38.13751518529856,39.951730282845425,36.641073082589884,32.454769652841556,35.03412206637433,37.04841054830271,31.22096959611674,30.111108210278378,32.12770573532889,30.510890768775123,26.235347294154344,27.58653293666639,28.146208799498336,32.20647436260159,32.41815904238292,34.7514175127624,37.1346912412662,42.113157506892,43.87348327468695,46.82348426741747,48.66287544683079,49.24127298330679,52.60574817076546,51.818962651702655,55.36496164801584,52.882346792284,47.910373473248384,51.528628917283704,53.76474309525388,49.18547113374506,48.44487458312148,52.45086826374901,50.72190913340453,46.375633439836164,47.80805385891219,44.1239768040832,48.21545625777272,50.49994499568725,48.75711592332801,51.347904702058806,52.79534383312437,51.25339434156532,47.645647037342115,47.7468543927382,48.62284783832878,44.54433899474971,42.45673395617417,43.595966149290135,41.68366181421819,38.520251546017796,41.40845485178992,41.086844988548535,36.550176866202285,36.84466243666646,40.19418354640572,39.68249678323843,43.60598809129832,44.39345720124408,47.36177982933386,43.99656835638929,39.859436723948065,44.344002159901784,44.03064510395445,40.389603102512865,41.02717866188485,45.86285509308889,42.63040188846132,38.59137863253229,42.62644809440213,45.46104450710403,41.970667703557865,38.57470060218205,34.09623150638611,35.68265088741713,31.108453969285588,30.96242390996927,27.478061296017728,29.693661039916222,26.50658442520745,24.77493489294333,28.01760280355034,30.223134404318394,32.824264681967584,35.42949417513685,34.514059377638795,38.560337343878366,36.065751153285795,33.94722688239536,37.417996558135066,38.94719542277598,40.222894912650524,34.92397923693326,34.667414726598246,38.14221868989999,36.718284020569165,31.971339187956396,35.42447205899907,37.12830448666474,36.92929204152575,37.42980336547577,36.93312915950341],[18.49137155522107,21.25229167753197,25.83178216047649,24.280364561471792,30.059336638835976,26.17278047483689,29.004883582435014,30.978004712901242,28.778974495632994,31.65610767921151,32.47626836060994,34.06532032890297,36.81180647792834,34.4828081434263,38.34197199414185,40.71890698512905,40.76989022621092,44.7957266211691,47.60682917251369,50.39926021997514,53.414785304277046,57.49798300102171,58.21032962502795,57.62856778703497,55.148546923502664,50.932290308417166,49.38939200920405,45.467398428755615,45.57139247268294,44.49702993493435,45.70091212171545,45.3822739109124,47.53067547029422,51.73730881549038,50.75867700664957,49.82531441301202,49.21512591849554,51.02064716808697,51.30096011894243,57.165671404084684,54.20843572507424,54.89615973548205,59.29847160948813,59.30601627927086,60.50268808986376,59.32636619530228,63.4085152577062,63.26151001252607,58.92604452870825,63.30412513746406,65.84583226480221,63.30828796420489,66.69933353650408,61.29758971806436,65.98327454530214,68.50965050684962,64.64645178099735,63.011596673729976,67.62983933954916,68.45064672048596,63.49790042604149,63.88683969833825,61.178423762740934,62.9533760729169,61.57982896037144,57.750935901148374,54.12504596243683,50.96830117323335,47.87703171297449,44.68518600755002,43.851714911619744,44.87507860087596,47.03747247564443,51.50936682842544,50.63093598770853,56.21643776549813,56.74194127212803,58.722863020542455,58.63480675952164,60.66926441834565,58.75330697318113,59.20949841145559,56.16094747608833,57.51863603732254,55.24122277849096,53.26686229001419,54.98369418956542,54.594574962306574,54.11977219955615,55.64427919822556,52.95560674641444,54.47451467004031,50.64237615588253,48.23884896234172,43.92483235892315,42.620136863821386,38.83838888483623,42.01568279342442,39.523928338739985,39.653556849247934,43.87635308484995,43.167877220447075,46.620323315934606,44.989699213213804,49.30047897443108,44.679333844553106,46.61672132206923,46.42042693880181,42.04985458812514,41.09124219062139,36.9723029392308,38.50076320982805,34.74803315280135,36.67135407059193,36.47778696702299,37.55950011063107,40.53683778142026,41.46532380897005,44.974097139026,42.432681447094474,39.429839852281006,36.58231359233579,35.406260121812245,33.747499650623155,31.455573161266653,34.78714062873775,32.72630655607853,37.067807354381706,39.5001072614886,44.20298342154245,43.680119992665524,47.66272075510975,49.39575917673828,49.86588868692434,46.78698914133256,43.12461977710485,41.47137615726222,40.000866301410106,38.728676876338646,41.55620623212704,42.883021188050414,47.57582733054864,46.800137373033614,44.725884916223315,47.68308913582847,45.27673852133339,42.5263390644504,40.81735077878896,40.11608255337976,36.20905570987303,36.60244532482523,33.90068702150335,37.25788980476884,34.18983057512873,35.59273163792685,38.55964387206167,38.23846167312901,39.872651713664155,41.61672498741371,42.52526398913108,43.874733584568844,46.56743760035517,46.12046624075355,50.35356003509074,51.282952005194986,48.90752567666004,50.836893727557964,52.17959929789858,49.2635002093173,46.08535923464303,46.49288146245966,44.87063676328784,48.386661882918915,49.11076801338535,49.504692476966575,49.46820360488586,47.551542882644895,52.21369947737864,53.139452089343465,53.79397573550204,53.16882053289574,48.95202846762855,53.63939738098808,56.24979287371718,53.8805217860656,57.1655600476492,56.30136684243558,60.77117340825472,58.75692664380909,59.711010008269014,59.889246520681525,57.0926069135294,55.756930221083856,53.10429647768655,52.720119794216444,52.00063297799034,47.193512032979136,47.136843309416165,43.40367860922436,42.35372836412408,43.28006092367763,41.84700101746722,38.73839311199775,38.09741358897181,39.66987060585798,35.98451689724698,32.38197544809991,35.00785911735224,36.40743123038588,30.547286060378084,29.888689879383524,31.727286907244604,29.519760889669897,25.64867250710881,27.48853393776991,28.469041708598176,32.32923715266815,33.46653432348327,35.31527998934677,37.52159243027848,42.72561292137791,44.54037660010337,47.490857236702325,48.895533728100794,49.449500137747684,52.68469958774913,51.64949553438289,55.46575680049383,53.284533374502885,48.16651120168782,51.67234473277579,54.32941473789086,49.89321830855474,48.928504433253316,52.96091322490403,51.71397329753816,47.369585277830474,48.42858673452742,44.542637887254884,48.11528519892086,50.412542506729245,48.453266086327694,50.714947442524114,51.94797864636995,50.19009401244121,46.887317561585014,46.89879396765922,47.359557965999315,43.3054188862056,41.52350477388022,42.33195283016755,40.163724051619475,37.335847476358005,40.38412987599566,39.703907845389274,35.031862279138174,35.906317772901055,39.361608759753,39.17800001122913,43.10134603835904,43.85273689659279,47.12496265238023,43.9291931206458,39.76053170295772,44.368959715818384,44.42121068994649,40.83790100352507,41.474484661857765,46.56664974352497,43.672885638816226,39.55563426342712,43.55647229191238,46.686952138454544,43.48184771657112,40.03238987165807,35.448552824017476,37.59988671407054,33.09691184791699,32.59410077370694,28.798001599827714,30.375869085815317,26.68603636752716,25.720961387718226,28.93712185481974,31.60005478434809,33.89989732272907,36.09677541634049,34.704374233085076,38.49675825197072,35.74441373192045,33.23524743687225,36.273620944834164,37.772278186205476,38.58302887195165,33.27879020808863,33.237925288605716,36.38184979818971,34.51534956119888,30.06138095501804,33.59252817332113,34.826850937512695,34.399481463108,34.86903451479941,34.35272142659218],[21.3311498540661,24.218124587903002,29.038220532195595,27.87610429279016,33.82924964155711,30.37961424636704,33.47577340365833,35.50647391198402,33.5832102913235,36.557407976187584,37.46624953701583,38.97698864795962,41.72595532228776,39.47078559056319,43.36515899586248,45.70279565160783,45.71090405312809,49.76538881309761,52.51735575777732,55.29683999098935,58.28931380910404,62.344064402361454,63.019673704179596,62.335791689547406,59.881904789168786,55.6991245191966,54.15884705284084,50.28419979167781,50.47625236819561,49.40151256751977,50.713268428137354,50.30522681195109,52.45880038483386,56.704453249217416,55.70199744979317,54.77923667216252,54.07933699791498,55.86235843611422,56.04289850283449,61.84269172196632,58.852869905165576,59.679478606346066,64.07810458319958,63.97677288191484,65.11172516922714,63.80140766370112,67.86643725071639,67.8391915695102,63.4138916730467,67.66558978385643,70.29311378829658,67.86309255972326,71.34307213571542,65.95724221612927,70.68295589268938,73.26188220148067,69.41191997187191,67.83985000927834,72.48583400981984,73.26664800080951,68.36492317697815,68.83203217165064,66.15634569121691,67.91520276148171,66.49466953346813,62.681536106002326,59.06454135691095,55.951511504907565,52.835032647947,49.69156002560562,48.81286064996168,49.794183714684,52.027691663253385,56.484332812955614,55.64714618762987,61.23101582809199,61.74376661988826,63.726097104262415,63.605730494815504,65.59610579485995,63.627211351579355,63.981001961940215,60.86660794041343,62.119542887210564,59.847079781746935,58.006278370922296,59.82538991661283,59.453228200108484,59.06578368399544,60.61597243150748,57.96367017667961,59.48891202603175,55.653656496875556,53.22915406057636,48.92987254668359,47.61135682037772,43.856902673730026,46.95101072258961,44.39898506144255,44.31450846021075,48.644860617441815,47.6922204399285,51.267547159567705,49.38426692431759,53.56458771280682,48.838426333085955,50.497284755298985,50.179542306575804,45.7310427850866,45.00962746697861,40.94627833786882,42.77874761705429,39.22603196668203,41.18746391039,41.23528824001342,42.22968551116083,45.31201275172758,46.11089176533654,49.75628121147939,47.331737165537135,44.287492965145574,41.460092789492265,40.094912996900305,38.4144838182199,36.0827868395866,39.14494296337927,36.88940229230274,41.169728098730026,43.39977023591834,48.184473839569726,47.3311089256873,51.234945493837465,53.1153104739528,53.79583172954889,50.722257795625126,47.223208219940474,45.218694300439786,44.06854369716219,42.936568743931126,45.92509146160927,47.21765588812456,51.96292360689136,51.384521172747625,49.298697494613066,52.312987651721386,50.02153469742981,47.20958423941243,45.53259152942163,44.71040773035417,40.8505533432298,41.030093332591214,38.44647713950936,41.57160880488517,38.41962501712179,40.113593616585696,43.126115657555985,42.947957551022675,44.40353402828251,46.322058183547064,46.981131453663906,48.34099765186568,51.22473623156785,50.63457756414965,54.90467258583488,55.612245344418405,53.09352095234844,54.83509093466676,56.01082025240123,52.94780285367652,49.9477647829872,50.41633808444193,49.03197047432715,52.66772275252398,53.49097305360394,54.0123703966455,53.96824460617748,52.22786741243307,56.805764306703615,57.71721256050296,58.24263431954415,57.53964795047216,53.20251107493583,57.73945597232822,60.290898914530935,58.01113194827669,61.485174582055585,60.79761869794155,65.1369119175634,63.051754358739494,63.87124976473147,63.86579960926323,61.157554151877754,59.57747175904794,56.82779880982731,56.299369167258654,55.32912923875127,50.53323226495364,50.32644116813588,46.413874067175755,45.608284355306104,46.10735408402261,44.88309266238017,41.97413174143368,40.862802848296155,42.22548813134493,38.840060477418994,35.132870478535914,37.28469569330756,38.71059485692077,33.13340049553138,32.04398243097141,33.536970393278516,31.75495167023173,27.84815091413562,28.916206979811392,30.02175303552089,33.40210040192245,34.55922248148212,36.79986845872926,38.72745126383344,43.83712919768701,45.13194520767348,48.39570611573105,50.238177828528244,51.132074543020714,54.54452216352416,53.92713204740762,57.629756470482185,55.1399190983713,50.36269190778576,54.09590983772848,56.468246668085584,51.97770464717224,51.37021330705195,55.50742419178122,53.879076853632775,49.58567774443786,51.22289182543005,47.21414447291726,51.154763883826604,53.242765415536915,51.120029423328255,53.58496797089538,54.62802151907813,53.24779246653486,49.87859070010307,49.49978663269224,50.194090444694716,46.382529780916855,44.22659850817796,44.865919122911336,42.83941307421338,39.92033667743101,42.49823464234133,41.79884111086247,37.22056197663347,37.74016554776637,40.918814559175736,40.818192638107476,44.87828093611122,46.022666332466834,49.05207957231426,45.476469578062876,41.7204053844157,46.43558974313967,46.04212121438994,42.458261138749194,43.550647996648586,48.28196197965409,45.014433405230086,41.28762490210888,45.55957897487317,48.22379218425661,44.73430879854722,41.536617742836185,37.130363007926604,38.71177027039398,34.30457540211755,33.55972079776204,30.40403686907287,32.38958186204479,29.136090300021188,27.965339093806314,31.348980226448,33.722831443740866,36.38997724961544,38.605611910829275,37.83429547045843,41.7781630330176,39.40341351061765,36.6313627145477,39.87609646666912,41.087885305350355,42.21666454834079,36.97064728594224,36.403479529886035,39.5753360741422,38.196411770118566,33.29148365651836,36.43154515015735,37.797691351090435,37.41743145249191,37.974185561542505,37.629044086468],[18.20686924326339,21.463816485914176,26.53877938747076,26.345115134870433,32.07825900203239,28.581190900005296,32.075409063293485,33.734374380407125,32.48508462813655,36.035821539105136,37.09098397678675,38.05315217940721,41.07394860445878,39.48076301874824,43.286510142304735,45.30943247551084,45.588009063646375,49.90576422734763,53.09171889948361,55.462573051477904,58.77175077959414,62.61510146226665,63.629483923537826,63.0708008030223,60.285928091984744,56.22789691407499,54.26473936053249,50.2988935194721,50.250381913467535,48.75691065735779,50.52997984133399,49.4371074095141,51.61589019826279,56.097039653438706,54.984625637209106,54.355964080727276,53.14676238129624,55.33595671232429,55.51187596792685,61.01667628696596,58.49084050757222,59.598331812524115,63.87772777565444,63.86122177452401,65.30579469077647,63.976819501548256,68.04844711192666,67.75151906815665,63.10720771846367,67.27978472198525,69.69505371155925,67.21707411540314,70.6652575201171,65.23193082234722,69.73892104429724,72.68483099682851,69.05835579824216,67.28130693799339,71.96927518625465,73.07275498485546,68.33847121606509,68.85951401479589,66.14032196906834,68.33748749963621,66.81760971938021,62.781914672258246,59.656606311602246,56.309567965953,53.64530209135802,50.37291746289316,49.839627832962385,51.17862613802574,52.97566527003485,57.398005216219595,56.06059584673722,61.62229754660567,61.81458478288611,63.54733110762724,63.22195486715195,65.1241242955251,62.73941153442858,62.966321799283996,59.441139233246034,60.64704241664078,58.66313213475316,56.93606075946019,59.16169931800483,58.483829764789746,58.68675570432273,60.07491647072471,57.803181709233996,59.593803311792925,55.68719826816534,52.96513876854619,48.65537326666662,47.51177992691744,43.7681447013714,46.16157261101953,43.288190693109485,42.504829781007516,47.109466330255934,45.515972779019066,49.488630541455294,47.10901877947756,51.267384659349155,46.46527100346946,47.68988301438347,47.5140143645364,43.05059349900934,42.34896184242079,38.54072108378622,40.964007981168265,37.746445577979415,40.20586644727179,40.78264402468637,42.13015232050577,45.44032736900948,46.573664759964416,50.53334308729417,47.80938272076343,44.99163463996424,41.88868926427841,40.61258420322988,38.4615142755647,35.631004921792815,38.33616651841514,35.21173083467866,39.52183004296716,41.372321722288284,46.06757286267631,45.22196441713564,48.8102527829792,51.114594957098575,51.64878257918079,49.0593248604792,45.82173605236789,43.84431766099068,43.226680937394214,42.60437589019014,45.602049195791054,47.57679689326343,52.327799938159984,51.61507244044747,49.19708167100787,52.00955193043474,49.5533377837773,46.71314653566345,44.65321684553043,43.36465765398929,39.43255458023719,38.95117150345263,36.42556044890049,38.95678425763525,35.60232291876132,37.97138925553599,41.03383034230042,41.295952909139736,42.36987844638361,44.82715917493815,45.12559415406741,46.99580991904289,50.22262580457593,49.96293486837096,54.03508247807036,54.767396807694745,52.57629940160392,53.89366155183057,55.33753945088605,52.04573794095548,49.2473139500419,49.373855800672075,48.13315719914059,51.49536359883639,52.111239541508276,52.577083695456594,52.20681344218893,50.78337085007079,55.00379470954761,56.194854383804774,56.40961839309657,56.00771099762336,51.2780231241772,55.81248104416425,58.487225653927126,56.495978803060964,60.28687159322746,59.911651652877154,64.25881322670351,62.592117547080015,62.98926878647616,62.886469355574725,59.94826512944899,58.17229238841329,55.22115619331328,54.39743753951019,53.18956165367947,48.50390287456612,47.839451052785144,43.771935971767114,42.77305998903669,42.79488616812004,41.402507939471356,38.856764569269295,37.60958428570594,38.45709181933002,35.14377426783906,31.91152879452809,33.511554370978736,34.41995914667447,29.208669694902163,28.058979660845708,29.046735557877778,27.27265592911105,23.710427126507813,24.44190802499753,26.017359742838604,28.751551878315574,30.836735354192328,32.84586116696439,34.33899296808967,39.54118406545585,40.539571251749756,43.972634997955865,45.71537884231612,46.85944171623588,50.28845507156012,49.85750460758987,53.67268920829823,51.187787225435905,46.64294436905876,50.48726140668496,52.98231581738349,48.62981844285296,48.186787895243945,52.46423389344574,50.98425731512766,46.788757006252986,48.70666097076353,44.28981406453271,48.10567972701067,49.90241009347303,47.377072221094934,49.78908876642349,50.458969319007174,49.360222101025656,46.15320860299796,45.26284159770259,45.945777614199386,42.450143093058834,40.07911623507753,40.34457490025166,38.350401894508245,35.539122243736145,37.745860202114116,36.86528157676134,32.349733199826844,32.85248903282237,35.85730607760908,36.018146072628184,40.15107990286453,41.60212991938074,44.62205793349654,40.89013570196961,37.50092520104392,42.38451578126188,41.925547383029325,38.436167822958275,39.970498862974154,44.56971201044517,41.366881391045624,37.97336098524025,42.45639009493337,44.97051424824229,41.613583400576786,38.638020949271365,34.342125134223046,36.126181613540716,31.995112341163512,30.496470891380973,27.628409691968336,29.194262018971727,25.981277220667096,25.535069306445582,28.999876923765893,31.59474753729448,34.26719617658661,35.88124809455654,35.43970062188335,39.24893875249757,37.266499843682794,33.6732434465563,36.79914475383666,37.55779561070086,38.79238659275238,33.746144372575635,32.58787939404312,35.57893968723151,34.69530573674061,29.372114848573762,32.062497934275555,33.44491147222879,33.06897035088555,33.74252295794598,33.54942405684732],[19.22599823419087,22.01032472330865,26.926665510694338,26.342536153391336,32.44141661571492,29.840119713771834,33.39920549569496,35.667089702430346,34.49307100971127,37.71858128408655,39.123957515648605,40.53038685849532,42.952370428505546,41.11206241521315,45.29487236255823,47.317546415607254,47.07983543589741,51.39203003063389,54.17212365658062,56.646427120136124,59.76593842060789,63.57850895403229,64.38652791175485,63.519520733102006,60.87810684675587,56.873305615743526,55.068834904673885,51.27419835250928,51.67011987137412,50.54867295811833,52.623061035938896,51.74307021800347,54.22868681352597,58.570659260916806,57.1915241867087,56.196392012743544,55.085615127851696,56.74993512191989,56.624389927844355,62.135488045089915,59.214206152857315,60.5253110814211,64.85605452898056,64.50803929703017,65.67041405088702,64.06902468910523,68.10057791614113,68.16552931691206,63.45507837845623,67.40433963958385,70.12782810139203,67.87509274974451,71.56874966265697,66.223511897009,71.03950430647703,73.8290028118751,70.09350785433655,68.69247227685584,73.429334144422,74.17423551757703,69.51153510709116,70.34434856074985,67.8467337028425,69.76583201343036,68.03060048666671,64.15253289630722,60.90633556284808,57.826024604158114,54.9296313454432,51.96208149709065,51.16630362245901,52.530544524012576,54.647088364924905,58.91388433729378,57.88682949779388,63.600586673894064,63.62905366057263,65.68616879593566,65.19066299502606,66.8616747492381,64.62932119555435,64.5645455172731,61.28896701183964,62.190158709762,59.91425713719275,58.47935122930558,60.68389212405272,60.44864522632332,60.45971441795585,62.320159755514176,59.94383501433557,61.881083668278045,58.064675260004535,55.53247244891231,51.07897936878374,50.1382173452242,46.212034994963616,48.841707618693384,45.98366171309613,45.59955559501086,49.74611650735956,48.13078945349967,51.743700600285166,49.229452211135,52.95746799833233,48.031254322434236,49.19931439366048,48.592963841485165,44.06668507528008,43.823246731197315,39.84565501212312,42.17070790562785,39.09488832295514,41.140813173816404,41.89579816101268,42.79455199496832,46.24383849411789,46.92335812647731,51.13591733210548,48.84735090287801,45.82848078823829,42.859114487935514,41.04946000531368,39.05488682919914,36.4453015403404,38.830103907278975,36.092619488924036,40.23028046868732,42.07738720495612,46.950388805719314,45.54448556477586,49.28975724541591,51.39216793391463,52.42258750550063,49.393980800580536,46.250402961847854,43.7152857022508,43.209656661702915,42.50723002883035,45.762436040049295,47.35496215770555,52.19190310843076,51.9183414039034,49.63208681130358,52.67210007561373,50.6200170778573,47.64345190331494,45.98560628122414,44.8255997129501,41.162157918236424,40.940190652869845,38.890904239624064,41.76728001630791,38.80877571188679,41.16697076073203,43.886209236703316,43.76071837064709,44.64695957002472,46.869037903557604,46.79351438578013,48.10999067374036,51.47621896948169,50.61119664145953,54.89525242304118,55.11875836954646,52.50345214680381,53.76870060068258,54.80984115766949,51.463189810357086,48.803909771295125,49.22890513944378,48.27357160919668,52.03006453769041,53.0175056213584,53.834899093059235,53.82160918073577,52.58170560202826,56.97766644602079,57.725583921711625,57.94368054272486,57.01631469555911,52.45378993448637,56.65513845720715,59.088829480783794,57.00849538988238,60.892493104032525,60.64996129444425,64.71390656126104,62.646189169193285,63.056032330968364,62.722596021288346,60.04531661527938,58.07065078350955,55.145825223873466,54.359405882934816,53.01321799459011,48.28659996928909,47.831672502613465,43.720945366788214,43.27082527006275,43.23990124884984,42.38815502862157,39.717851750614734,37.97620954501636,39.18356882647635,36.26547425350809,32.32081013875398,33.97504455983165,35.66781326452463,30.42735185877425,28.805520763572037,30.10443278317356,28.997272145792195,24.926539235196046,25.181693704167987,26.166006056939413,29.254318491020964,30.093561828038375,32.690441895359285,34.4644522426609,39.38381854780918,40.38095323547631,43.77289455213839,46.019553452719414,47.13411404645271,50.69823408484135,50.50129406782019,53.99323089086594,51.18213311684285,46.76042008795522,50.699867702765225,52.71388936077868,48.18758197666026,47.9605089215511,52.1824844035053,50.1591599811362,45.95064123120305,48.226881194287365,44.09441148930239,48.47616124440476,50.31354032356467,48.10288162755131,50.87904465452414,51.86368461616183,50.93538864552563,47.36749117806839,46.69105706987667,47.82834700199117,44.234676171731316,41.59021889989744,42.31182647906496,40.59736706563994,37.39990241103163,39.52265505917023,39.09896719783436,34.74143290694188,34.59634650371611,37.51640940273707,37.2364914968789,41.33453710930867,42.74620225026525,45.42629364548144,41.551499605113094,38.12709703121005,42.826046345423975,41.978020003032015,38.41256233320357,39.864976331272366,44.19892869810599,40.60960528632584,37.25616764131035,41.74048611398015,43.94691149873398,40.25458797467957,37.31286039104589,33.12568449546478,34.242272180284,30.007583173394263,28.991706715832617,26.45835448747538,28.79040988527304,26.13471145924599,24.750609558283607,28.218413314828645,30.28410187292096,33.27286055950134,35.40254464898139,35.4204192905771,39.50583755216986,37.72291890097477,34.70601693462791,38.29870608969765,39.19293583087956,40.88487306035009,35.807730604303934,34.57895977110216,37.96032036346052,37.41363888950786,31.913578893620222,34.644150846145216,36.51116804454616,36.353412305383024,37.01095038459976,36.759814374980074],[18.62747815434095,21.080009151250696,25.847917141546564,25.422803664320025,31.551966240235803,29.673491879219444,33.394173512134756,35.93007867162108,35.134140088911735,38.32213742240019,40.04754280196453,41.53189335243956,43.582954106830975,41.88176865169895,46.27305175803887,48.12906210197355,47.61968055195557,52.01735125375296,54.67618270473039,57.013703275705566,60.122572303909976,63.7890083005045,64.59940221714335,63.563363954050935,60.88358925524666,57.00372062126907,55.12866368358182,51.448187134037106,52.06758023721007,51.04724204974114,53.55994825167911,52.533672312268514,55.25887984566142,59.573151549351394,57.93718661578511,56.797036750162384,55.533994660978735,56.96677636265831,56.606072050265354,61.95717088789481,58.96501197084316,60.55584960711145,64.84782427239097,64.28921053172722,65.3815782683025,63.57638247718848,67.56198496734767,67.76917800628867,62.92879976383965,66.65468968099916,69.49574472424065,67.4018481943362,71.25152209568499,65.97494005284746,70.90357125092292,73.73404900191063,70.03340252346297,68.8278802706171,73.6062347532382,74.22474526719806,69.71481218101576,70.810890591084,68.47743089701794,70.3842993850075,68.43889854371973,64.59277324158303,61.507334862377036,58.537578128335504,55.70240745164414,52.926956892137646,52.103825193204266,53.65776383808239,55.79155994568512,59.89712412207563,58.86817692571906,64.66626747874724,64.40618996126,66.59043339339124,65.86326415939422,67.30278771116751,65.00863436813914,64.65719664302947,61.40665725113898,62.044593799469034,59.68473515269331,58.536923086885814,60.898350078355364,60.86804607093406,61.002841692551335,63.15192935021041,60.884908344271814,63.058599600989105,59.29982365787382,56.791178168086034,52.24576528778006,51.557344763308286,47.52033531421134,49.988623293411706,47.01905225706713,46.6478766526512,50.51123243306445,48.609403901971724,52.08250448720295,49.266615138118254,52.62098299727382,47.604525517358326,48.54048812224205,47.6670073622579,43.12233410319473,43.239177814838975,39.28461586681854,41.765729622883995,38.986505240586595,40.91550153594847,42.0420957213947,42.756614043402514,46.38454352856427,46.876623128353884,51.39787495417539,49.311674402856646,46.27647069864339,43.30481911833841,41.15616995046002,39.07678906229445,36.43620174265366,38.378054556075476,35.582695094628285,39.54048465602349,41.19601652785252,46.11876404822384,44.30730717104539,48.00632047562576,50.12467856425388,51.45466513304866,48.33137401212684,45.396777955687455,42.4783511992118,42.3057678001194,41.78987627304689,45.20978983881767,46.82833027335451,51.691106209174684,51.682069484169794,49.35456049757876,52.44758937896042,50.640166685510735,47.57161884677018,46.058924255028835,44.797003966154534,41.34917206152831,41.04058952836934,39.41581718536903,42.27940209150524,39.60736566930803,42.19583216463794,44.63166430114579,44.39052305933635,44.952691492133845,47.20633301704136,46.680492899791645,47.78362095285157,51.3859087142049,50.2191603792846,54.54129957303524,54.39527421795208,51.63167452279712,52.655647959038625,53.51463657997632,50.044842125627056,47.59939392096679,48.08617665541549,47.415974169050386,51.31337244557553,52.48119911837024,53.53602148385928,53.65325733959556,52.70496565265322,57.05092771526806,57.57413471900775,57.65642051187768,56.46452997541823,51.88629110564553,55.806197349876555,58.0988948941344,56.09126601000682,60.16204297253191,60.161304492129524,63.995189280785155,61.835791729260606,62.06157376953543,61.51965215582909,58.94765883301641,56.747528028177484,53.7679336447623,52.88434347322558,51.34420167770812,46.66325380905084,46.1745701244123,41.998871691766404,41.88144670227228,41.622587358736915,41.117774463519815,38.52226669259057,36.37372872757903,37.642856741610224,35.085184386622686,30.838846113194258,32.296556100180496,34.37789001240632,29.32374027492996,27.34572675606618,28.687642239425834,28.11648299772408,23.86266195902902,23.627467552466797,24.29184311212705,27.401344047604614,27.602442877525785,30.510740716906426,32.33782235612323,37.041789630213465,37.957728891040624,41.34487125687627,43.893606835246715,45.04443981427777,48.68328610117121,48.70980482900443,51.99151399668661,48.96717126852136,44.73102622437677,48.752432804070565,50.46049375937073,45.88410308366639,45.869417799317816,50.082045700145926,47.74381563641318,43.58593137466025,46.21270423116435,42.15173166418234,46.86815021382677,48.610265247766854,46.497073579940185,49.50312315273288,50.5866873795164,49.889041245001856,46.135164632566635,45.447365743814586,46.915508659433556,43.38597074563125,40.48327384483498,41.42265629709364,39.952083190443986,36.52606579814656,38.44550910068551,38.326323571472535,34.16388652533934,33.51684410808898,36.296592301216144,35.75513077448352,39.80687190504349,41.26424110419392,43.67473899959905,39.68379516001943,36.367824948363676,40.94676236954572,39.808874410876754,36.24744591286968,37.77454387537582,41.844469272836704,38.03922730246274,34.847404499162934,39.37254959657383,41.30226583744914,37.45264841172598,34.63008648373934,30.597936320227866,31.323090673049055,27.160323531648466,26.20391505803722,24.05480920114055,26.755286681970308,24.594661414920747,22.824589926576714,26.26292251858697,27.995515111050725,31.183957975674744,33.416597699470366,33.91053367465881,38.09873772716044,36.65480630310374,33.76622999504668,37.624933176640305,38.432233462910524,40.51403970710249,35.54248545300571,34.0465417351504,37.623762817758454,37.53825163446977,31.829946195933694,34.3851898272227,36.65195603577105,36.70880209732728,37.398511042549295,37.19653338922174],[16.73754099598129,18.954672140943426,23.55752117008909,22.49600567378646,28.74447910783266,26.81638294360765,30.335338034232386,33.09501735733061,32.0321501978517,34.959724618107764,36.71587943911015,38.46799472471141,40.2869180567506,38.35863728093475,42.84520854376769,44.775174146167736,44.09626248208994,48.42072730766906,50.92262444821642,53.37161981197151,56.38455951705271,60.10493287325172,60.817447244638565,59.74492807322203,57.15182402418945,53.2359251846312,51.481808634288356,47.83250407183775,48.56256392022256,47.72603069111292,50.16325528428616,49.38208952084524,52.17787697593131,56.37659208782014,54.70982910232679,53.40906734727345,52.333836403234514,53.56245245162251,53.18969091639764,58.661287194118074,55.48725199599715,56.97638721656061,61.3138398739037,60.72938671781637,61.73029505022942,59.95361974370163,63.94837361178881,64.21804784377913,59.463343736344704,63.26001361196055,66.16158568135833,64.05745835435725,67.90821148988873,62.64275943966695,67.66983130898055,70.34787738554779,66.55735553582878,65.44070509806457,70.20548255430975,70.69599214554383,66.13093241578973,67.23661627655186,64.94688703466417,66.70684214752731,64.75804509928057,60.988364973070446,57.77216036372134,54.89162346379573,51.932242168189745,49.240256689856466,48.31303468963379,49.84180062509875,52.08682924867155,56.152513433916276,55.27328537984995,61.11246794846316,60.87564527384731,63.18862072033646,62.48173645956706,63.912148394351625,61.78202547943539,61.45520348375246,58.39821091515221,59.04627237083057,56.54596035709629,55.35263712018959,57.55193470659275,57.68400778340577,57.590005351081516,59.87467036400293,57.4849877513894,59.64037533109343,55.930445094032024,53.54687845922641,48.96632501569584,48.317618985559946,44.22402722586178,46.92256381665971,44.059733204460876,44.06518784516472,47.67952392210797,46.06267850603284,49.28299019863224,46.710441213320195,50.067789510290154,45.0976878075951,46.33364560702737,45.41267047959594,40.88203793808866,40.92648057011339,36.80647308538122,38.931990275861395,35.971915061737256,37.66556508305783,38.58458741364305,39.16075380179201,42.72327198289804,43.10959239039864,47.55798337085576,45.575956338150554,42.4723627099402,39.576091000572355,37.36734918779576,35.426563962444256,32.96080239384332,35.06374644567603,32.67556624601025,36.648127041853186,38.55016407508753,43.51016524525166,41.80060755209088,45.70170204739504,47.568567467872185,48.895957784762224,45.53109362672312,42.4180558202722,39.593865613336106,39.087980438982676,38.33538619259655,41.730971110120166,43.1344861584125,48.00023834402634,47.99864405165192,45.776259869952746,48.940397003808556,47.192179012244175,44.128613694683345,42.77832201442798,41.72437954824771,38.326492982869006,38.36349453673951,36.77539491212724,40.00767946778909,37.54305519247146,39.79691768611046,42.10038837092444,41.57589652976768,42.281476912580004,44.249602684138736,43.86967351071757,44.71527345279381,48.15741478834923,46.860014960311666,51.26532764565912,51.14841138874802,48.29360762391546,49.55072454503746,50.37801732381415,47.038744583682075,44.424437490548364,45.026226344869784,44.2160733063538,48.20730485475368,49.446894175872856,50.51313139301943,50.796443870515176,49.69987250190855,54.2338514003663,54.59776778675905,54.84169178798723,53.509412477580454,49.133539994382915,53.10034663149738,55.3614909275512,53.18970216398518,57.080762766136004,56.90868092059138,60.78314261323691,58.47512418921431,58.9069754122945,58.47140619268443,55.945944214417665,53.916984237836935,51.05235041562046,50.3576803077199,49.03440921746312,44.26569017999511,44.064235671356535,40.028161778507204,39.886188801874795,40.08151450997927,39.559163590058176,36.66200466773578,34.79716043904735,36.46448159282169,33.695328334375816,29.201093406009942,31.23756985843793,33.60930034714836,28.14998358641153,26.42164776920445,28.277780799703617,27.44734963779225,22.957078313983068,23.407586699060932,23.740157824804403,27.58850596774841,27.302629426618886,30.060943448744474,32.33581439214907,37.09706717265752,38.601035229520946,41.64577609585984,43.92092037227682,44.720333876146725,48.25176863169681,47.91755901722432,51.224451054263085,48.384052985898435,43.786935649153264,47.634518219024734,49.46805082428971,44.83508232423546,44.512477638576456,48.616673696490146,46.43418805464749,42.17169832705236,44.327196999120176,40.50645432051991,45.11214145781973,47.12123538758734,45.29645798563677,48.239277834910276,49.63407710166791,48.595151757653085,44.759454626424336,44.55256365173017,45.928866470243335,42.08986332174247,39.46223624640939,40.722141532927644,39.1687644269523,35.68739495774348,38.08644429811824,38.10008456572811,33.82821697027838,33.36767966900693,36.44246635949056,35.691966988505214,39.63972244847434,40.690733632776045,43.267250225731146,39.590396292626956,35.78171521171396,40.23381028911977,39.42058928973645,35.78657734056917,36.79010712971374,41.2000905674631,37.605924007274126,33.9389533272943,38.21305830378035,40.55761927270652,36.8269564194529,33.68108499650628,29.41667831744235,30.490192999566343,26.05702695959628,25.65570301496947,22.812427886591422,25.490037875328657,23.000850446882296,20.93297116162684,24.300478156248552,26.13983159669028,29.1444395143904,31.68889992813742,31.689820401075163,35.91139495536211,34.11425687710275,31.72389361835102,35.60653337217533,36.778536831676185,38.71390967979417,33.60512039515352,32.60951913375244,36.32793775993688,35.84194675843825,30.468643687842036,33.451860567374794,35.72889288925826,35.80344437554257,36.40322118690174,36.055844754400304],[16.991249768045922,18.438141030655423,22.50899674390021,21.35513521417707,27.581217039994197,26.775074311382692,30.328818560684756,33.52999028933855,32.852634927267445,35.5294088631362,37.691264302650225,39.66165721963468,40.85285736766389,38.99443011797676,43.750316291561596,45.49050442528862,44.35706583900006,48.70418168836506,50.910263526198385,53.23605624226481,56.14198739053477,59.67962314311387,60.31691893824783,58.97943549317513,56.41842580782221,52.67455886044455,50.926765803525754,47.49223263379216,48.59969411486695,48.020738129645544,50.960868786485015,50.14022622035124,53.253868787284816,57.32535548216759,55.32608184074948,53.751400571987205,52.59249941571792,53.376533150371486,52.670021972648414,57.958418721447416,54.580892027677365,56.392480427191835,60.680403306561686,59.77933261194675,60.60147093149826,58.54542794079003,62.46402642186599,62.99594248755339,58.12787055071601,61.6219574877411,64.73210324817029,62.870894125325705,66.93410897732865,61.794850178508106,67.02329092487831,69.64916261789945,65.86644321476324,65.08720588361926,69.87893209849906,70.10830045703399,65.73816658087603,67.20565591859028,65.16890748264005,66.80088562512566,64.58501622615279,60.9290899125997,57.851666110445684,55.201477744172664,52.253506065361435,49.893328700879245,48.86218120410647,50.584063387911215,52.92366396542988,56.727686500177235,55.96122361662724,61.889394702589094,61.308385513133786,63.85185428342631,62.86399406503745,63.976440049779136,61.871938784562126,61.17461769174459,58.27831200777385,58.565029368187346,55.879656331344755,55.068495049647076,57.372824351546335,57.87734996120863,57.812303386446544,60.539020192237594,58.230584867686595,60.65478145788285,57.06802989509015,54.804296831060434,50.12951612291629,49.814319766339594,45.59669130089939,48.19751538779704,45.2809679655077,45.483649821095646,48.5883120313786,46.75633222532267,49.6375537862669,46.80408372443104,49.6176787991373,44.584527966035004,45.629305912266034,44.30090947978569,39.79517115994931,40.33181317290466,36.206666935303765,38.337763901000365,35.74163017403264,37.10132969171555,38.41227118347701,38.620006354273556,42.35202515388817,42.38038495249181,47.17315803126868,45.57215999137402,42.42530438001177,39.620173382687085,36.91390684136037,34.986708657768425,32.63963659430422,34.15162377329717,31.970686259737178,35.62061515107326,37.35095421217258,42.36198090962583,40.09970074510949,44.01508331805921,45.745540496492836,47.52693330952005,43.89500825069435,41.02207724108177,37.66824634022881,37.48105998851096,36.86307548412045,40.46669533701096,41.72584984333253,46.59494239829181,47.009616783527925,44.82429498710782,48.09350045507495,46.7543802222301,43.590403329795066,42.56408609258438,41.501391846646136,38.473813622419804,38.575026209055785,37.59544599853129,40.93818381372045,38.960942298017166,41.32177764048675,43.18607787365423,42.38349529840036,42.72548218718161,44.56712670381586,43.65099058460591,44.03728080510109,47.69304411356023,45.88279854823644,50.36668841612802,49.71443974210328,46.577966040396134,47.60674458674358,48.104524285821554,44.67111334244984,42.309214534092774,43.093242356702994,42.65173746101122,46.89606675597955,48.443225722281035,49.85475448261322,50.415609905764654,49.65077917290946,54.18385417433152,54.14674080613572,54.287811067228205,52.50359157628031,48.25055454554899,51.801635671317015,53.81785434882549,51.66851140365598,55.710411151693684,55.79293573737862,59.326743959332624,56.78291381003051,57.067868125768655,56.37200829400237,54.06005514741472,51.793034959792166,48.929894111061216,48.20350058723632,46.71020687394981,41.99553107393965,41.912376106684434,37.87927845021651,38.2598542764605,38.34214787361706,38.35108866850184,35.44358247212751,33.11669730056278,35.06927457928218,32.77955597218878,27.763934807341936,29.760740774713273,32.82743398067416,27.558317244194914,25.454001540190806,27.57477928956241,27.422964946410865,22.69977207444923,22.726459981806258,22.385290893998395,26.51421250887975,24.947797172250276,28.107635454742073,30.65434921190465,35.03449695392568,36.66040897857362,39.516672681807215,42.12090715296639,42.80355926753872,46.38008110847049,46.221999403439206,49.19467309811973,46.12650741713192,41.67347602253713,45.53877097775321,46.93543466389922,42.21179216926772,42.07598874872611,46.07949424823004,43.467076349492636,39.2508413283203,41.71760594007076,38.17866163993385,43.232536324106036,45.22015944343717,43.70586033119672,46.943701883829576,48.61644319206769,47.76533007595515,43.65010834801655,43.65117540035422,45.44648878393458,41.597080521286365,38.75342263439169,40.44701336016186,39.214177563839925,35.44157346418235,37.72268316230851,38.207575354774406,34.21875328273733,33.15642814814212,36.102569014585676,34.90826236095194,38.69152517216308,39.62119580767732,41.843807348287626,38.17038810848968,34.348294070864476,38.50170327147044,37.39663608193042,33.7699144184104,34.614884229043014,38.7296922058388,34.90813826302501,31.29290682406747,35.459266537835155,37.540841027408014,33.61606674076182,30.516234799749935,26.430653147871084,26.955683304389975,22.507655488959923,22.624815515639273,20.117040179832536,23.41008059624545,21.637916717251958,18.747484686361002,21.934893707488204,23.181532086732286,26.40454191761819,29.31211246513647,29.82177054278618,34.18617580905233,32.74185203754065,30.87927446962055,35.09894038950109,36.30727703944197,38.699839700873326,33.7505978188169,32.62739420484889,36.61876950170767,36.58264039662373,31.165424114456684,34.03887326300956,36.773536908440526,37.12260869298168,37.70780913502291,37.35114501222513],[16.311542284777477,17.083491107448218,20.603268368844734,19.051136482192984,25.20798848566783,25.02392958272197,28.43710288011212,31.950978482220712,31.390831786017337,33.782693406110766,36.17743978379175,38.35653435174775,39.075282543770406,37.20175295755083,42.10858401555892,43.74530513326514,42.299319005052,46.61469940773982,48.606044737834885,50.87729785807324,53.693000689071596,57.133193318781245,57.70897670473726,56.2340331085353,53.70971667437542,50.06060091316649,48.34984071947434,45.05231809638486,46.3964643405466,46.02731141476318,49.21792097626939,48.46227009470161,51.77007020431665,55.70557983695035,53.51208240515637,51.73344448141399,50.60059720385776,51.061716010094806,50.176395183838466,55.39763451667032,51.86058376019044,53.79934065837013,58.064144337548086,56.999306049136834,57.70770922300962,55.530851131859166,59.41277579288056,60.08114448697138,55.19442682574697,58.567464454493916,61.78915963491217,60.043156741071776,64.20296404230479,59.138954099732516,64.49228911032083,67.0299336913195,63.22893689587777,62.65347233264644,67.44433015795734,67.4979389173139,63.220864321207266,64.88037883973207,62.99922357472581,64.52004036050121,62.162117512602244,58.596008433136085,55.57775763211263,53.086456483628375,50.1368233982064,48.000171559437334,46.89880668952659,48.741146735083326,51.13123409917025,54.74977879567689,54.077684944117465,60.04790493796944,59.2702010033827,61.97417178344111,60.83567452421612,61.76609344117129,59.7407432970949,58.85701556494049,56.13641137372598,56.23894135792505,53.40677935945108,52.77800492126376,55.0677883332726,55.832465836761,55.70197163338168,58.71305657077216,56.421974675057605,58.99285651134455,55.50956980104775,53.36585542559901,48.647744660246886,48.555048644207275,44.27078907336777,46.86811932605003,43.981324720903324,44.45543522805416,47.13518917679117,45.324083843727585,47.88304290796522,45.04039984743374,47.552519147591255,42.54033515458431,43.637790325843234,42.0861006904079,37.63254818744573,38.37811218918217,34.20301330498979,36.135822667995235,33.67639337700709,34.734425865414806,36.17145753643222,36.125853856323516,39.90968538764666,39.71825995387393,44.66297448353488,43.302478739918506,40.136904535050405,37.41613881682254,34.43092875492237,32.55989606239979,30.362019522690026,31.59261677412894,29.739456205183302,33.18148844982879,34.93235535555126,39.95364651622604,37.48452691137425,41.493233414516816,43.01749084775901,45.00616625739133,41.14182666145581,38.314776887252215,34.762697056221086,34.578047558388306,33.937150648677694,37.618553200935175,38.73823572926267,43.59484450743173,44.211958256318354,42.08289750343212,45.415325828033865,44.31829457959413,41.11824157680739,40.3364667335491,39.36341334156221,36.588401368760074,36.88602259805586,36.27533092765435,39.820957711991646,38.244306222615954,40.476795386290256,42.01044513796056,40.928810689768845,41.128622956470906,42.755426782127,41.61983178213682,41.64033278679544,45.321457401138915,43.19958127923031,47.73810991167712,46.83706935497984,43.53875927759311,44.552863870096566,44.88918940249122,41.4794247480063,39.16404423754318,40.07866018088632,39.75415998524679,44.14551239008202,45.87196468025834,47.45859014558275,48.236545868416556,47.585253611819645,52.179643637364784,51.86027307930288,52.02198426891743,49.95113827154821,45.872949470016074,49.22455002572262,51.10077913799147,48.8912707567791,52.91260056711878,53.048636829215646,56.426141672254815,53.72277010627312,54.01932369615004,53.252692836331114,51.064668215377644,48.77177105256338,45.97121178236822,45.327495443965915,43.87886487319652,39.16212286210435,39.291454999618374,35.36719472314519,35.97982510078353,36.27719651358079,36.53183835280592,33.47279042979708,31.11550424522596,33.4272176605036,31.277172736483983,25.931859626180636,28.236822196050817,31.769198852318297,26.45167878195197,24.366816804879374,26.887706517632676,26.913305663825163,22.074975869725286,22.31902314457524,21.445685806208395,26.06702455798186,23.63264682643293,26.792591808242165,29.71104603822706,33.89166760646616,35.92204351030831,38.453050109914166,40.993084375210955,41.38304144331819,44.87688901441319,44.56893136335903,47.39034436084334,44.36312450099338,39.77666075974233,43.510653787051936,44.78911285783506,40.02351281483952,39.77527028052476,43.64428721147805,40.967578867251525,36.72938395782588,39.02613180583896,35.778284559328235,40.933870002802685,43.05720236372097,41.8694865399179,45.1812132089529,47.15638194950613,46.20086065435284,41.935181783628785,42.32400776006039,44.25025449879547,40.24930954641739,37.493856017632766,39.57043310648452,38.46008211441514,34.561327660521755,37.0421545085035,37.82657487127593,33.96963701249462,32.74766609925855,35.766801531005505,34.25543424449713,37.84415420449723,38.45224208131766,40.593617783195974,37.16390727375912,33.070127334932,36.95248794023656,35.94104918004165,32.31712553958921,32.73546978652267,36.898573962923564,33.16954373318853,29.298829767883763,33.201411649253295,35.432180279273716,31.55392801959679,28.284253399043095,24.173461038055564,24.71546507587185,20.14390085059309,20.897466170055647,18.103542510721997,21.591482092626038,20.02687724620205,16.583591913591626,19.530621891662513,20.523006215422352,23.683682557045422,26.92728332341999,27.376520281466544,31.783909925414672,30.332987009205933,29.052834067728618,33.41062012620784,34.82749819530383,37.351398480605255,32.46947103820828,31.57636553436316,35.728458516201485,35.71036928098354,30.54032932680499,33.550400317859875,36.48849949393516,36.99389184280375,37.51208539975067,37.084222924050785],[18.038063781360467,18.25884117593363,21.18655007569591,19.34278765878597,25.306325580707416,25.825045196222487,29.06999853037123,32.84950953435475,32.385073043943635,34.470271849393015,37.04364297574321,39.42579751337632,39.710795686965525,37.775277289555945,42.80361490753275,44.36886218005688,42.606018680008454,46.84384109363622,48.54982441498521,50.80667902319866,53.47496519686681,56.82161151193613,57.27922561386011,55.616772128419015,53.192348068190405,49.65348609356555,48.043300476750545,44.92569621061289,46.5459679865592,46.422342704020444,49.80304580217927,49.1603700725313,52.62578892467053,56.41604038680788,54.05860996012719,52.06930087594388,50.99402673582197,51.09601459953297,50.011726231729135,55.145160147895076,51.401962105845115,53.47537779427407,57.71102331539932,56.43278507663195,56.9600120643002,54.61994264169342,58.430469683596534,59.32285596862063,54.43351317006796,57.617313445821985,60.99838775454433,59.4327648562258,63.70949440576579,58.75604157678565,64.25174271781427,66.67524661224834,62.84655606718645,62.52417215884948,67.30318522139854,67.13012138697364,62.95763297920736,64.821224298434,63.11447928544517,64.46605341139595,61.971481138639945,58.5368651260852,55.53035144646993,53.242870566258674,50.23609037801957,48.34521797681183,47.124303598167174,49.01535480300326,51.52014694804317,54.957238557830415,54.45074645539037,60.44359585882784,59.51915085212754,62.39647564090556,61.131532748119966,61.88042076971184,59.96367657252997,58.88137860904348,56.36526724599387,56.25916347470947,53.26636029144819,52.851366934005554,55.10775051276079,56.15815755013443,55.93014194806373,59.22217013859288,56.921812908007084,59.59275770415373,56.21727489301013,54.21306985642494,49.474613765234245,49.54969728607282,45.22683630780484,47.87072090111302,45.039046564754976,45.75224142258775,48.063828724666564,46.2728966716261,48.529063413431416,45.664993055576026,47.837232992460486,42.85760161341855,43.93305776326977,42.12136337486799,37.74677423287882,38.76985352919172,34.59678931263306,36.356001628653324,34.082138497287765,34.80060373981885,36.34843168982634,35.990167808570604,39.78967679971144,39.29476454730468,44.35636385566317,43.3142759705825,40.108598852995655,37.53281092058302,34.24349558125014,32.51125490745004,30.5412888845377,31.446886459334664,29.97873948886435,33.14210580227784,34.851389759348294,39.85498788982666,37.06904636796061,41.124890723093685,42.43621285871268,44.723995069335665,40.60976299136123,37.901876543298776,34.045750334726904,33.934280786728635,33.26530556795948,37.03716142954671,37.89138447604912,42.709539149521234,43.626544815392315,41.61170087767957,45.027141700426434,44.23739336186667,41.01060259665449,40.525785400254875,39.66013029946409,37.16398070933541,37.638842138099854,37.37315933305167,41.05195326393049,39.793708112109755,41.93730447434817,43.19895182891468,41.88419194094166,41.94912005001506,43.370325705499496,42.003927659416405,41.62941021468607,45.329892796454146,42.82829224834967,47.42332779452447,46.18478379656909,42.64905569334569,43.60850495680073,43.66156602163528,40.27240151255374,38.09134111375712,39.2057055237111,39.089820290246045,43.6696278997753,45.62277729861661,47.4224434267414,48.435300432098224,47.92213584807701,52.554750150901214,51.93441032719271,52.10138229040056,49.70143743703014,45.82603152929981,48.89372689499208,50.57445393146496,48.32484327517755,52.339894233873906,52.564694462183475,55.70780501037648,52.774144150881504,53.07174011890999,52.16262946160548,50.18872896581027,47.79850984304331,45.07038820295796,44.488453294651464,43.00708424140137,38.332999968425725,38.66378984414796,34.84846194336706,35.8266170729289,36.1902193235402,36.80030122542725,33.69585508635089,31.157662812896657,33.73482578031178,31.885022251196833,26.265374864052124,28.64179930218952,32.60536602791028,27.44573949103302,25.261871929253854,27.97102567568856,28.32661042654934,23.480736402899907,23.60864913746481,22.296698617851447,27.05678867743538,23.73018703783131,27.05384008133075,30.174664897683176,34.01157546583445,36.18302566523619,38.48977647869871,41.181496677647566,41.41418333815338,44.874093064757616,44.60648649033721,47.1727026053656,44.05729602188622,39.54106468840562,43.19427918379638,44.170297360890785,39.37490744046277,39.1821540737075,42.90150519641506,39.95856248689743,35.76849986914295,38.12985145637062,35.22915230865132,40.60803468915785,42.777262473210094,41.90277928574077,45.35596842725356,47.56992433328928,46.655373733554796,42.238500580565805,42.880559339509254,45.01673630123826,40.98208609649862,38.207356984446044,40.582117134573565,39.64849071017186,35.6393951514188,38.11156727155809,39.17060354718649,35.50333295189817,34.01836577313341,36.96107344112163,35.18322273198567,38.591880639179905,39.03143255899844,40.9498003437148,37.636960724643686,33.50533560424032,37.08661466398964,35.96246037472565,32.39305551465754,32.556795982996086,36.51772977928447,32.722512980560246,28.847913926639922,32.51287962946372,34.60838554236844,30.657615722659106,27.400200899202506,23.48039084931685,23.60482212299036,19.07340436913042,20.4749506307567,17.909155727281615,21.72802906338986,20.66248452740319,16.68689914541717,19.274568475817983,19.72055452260417,22.900509873279102,26.491205266944917,27.154436921738277,31.568412439310347,30.261228398155616,29.54962564636948,34.04484441638256,35.56730244887209,38.26924649469837,33.52003930287872,32.714704303865176,36.97231150881293,37.08134004978085,32.0679434871895,35.073841167909386,38.167868720502376,38.79262879104987,39.26511483876758,38.807459072328946],[19.78301123114064,19.359071271063872,21.512074023937867,19.687722481764286,25.195571264609022,26.7047202181711,29.82181040503857,33.81900286526333,33.69367518156348,35.52731472129098,38.358587059766656,40.8353649732863,40.620278648478404,38.81522986501819,43.94299657096325,45.312836493326,43.21828409328806,47.40799599178775,48.85687916683475,50.95457245762116,53.511135811974704,56.64962027824361,57.053329687997,55.18403558538005,52.798175119928764,49.46599191433755,47.86391095847361,44.98197560173863,46.89087290785865,46.972097119918885,50.73122944186115,50.04196436992984,53.714412330085196,57.36463043089243,54.7601946179619,52.580323963683774,51.43306478608819,51.16750214853757,49.80889266636935,54.70615176926321,50.842973969921594,53.186791315818695,57.3279501314231,55.78658779959725,56.16326917826983,53.59520724019687,57.29893241261341,58.40848177378181,53.455371183608705,56.334161167873845,59.86435980248985,58.53316290850649,62.956025584826115,58.155309586164506,63.76653492524377,66.1383654493016,62.356388304116706,62.32043368074018,67.08203893046294,66.69879259588991,62.73654607052516,64.89250078021695,63.41386310753296,64.66590488575758,61.96287025691622,58.64918607668226,55.82076927038354,53.74418796654633,50.81210788278187,49.21822772528869,47.9504298733343,49.99443371013771,52.51072630660502,55.68648941471668,55.252443391250644,61.248300719015866,60.03531215917782,63.063544610438555,61.56999767895767,62.04141317605404,60.15252912720782,58.76063681632994,56.401883993629845,55.98627227998968,52.87318622315178,52.79801274378212,55.12929493820888,56.4737803562899,56.29310738659824,59.90851573991238,57.7151818884439,60.587763193981985,57.344713209867656,55.44777781801548,50.69838962013462,51.04251656703802,46.691276469775566,49.18955974662171,46.35280952258125,47.19145574956086,49.067912753929846,47.122769836630766,49.066914271256344,46.029652953442834,47.70030619202149,42.75714639827859,43.65215982128055,41.510700943992006,37.25715608727694,38.69219883032809,34.62698032518953,36.334037029471915,34.45189017069185,34.85886725056281,36.725159677077805,36.062786617501594,39.92756330372312,39.1377734075075,44.4219757182206,43.7148877378059,40.552560839127516,38.103466821244275,34.474388679143175,32.78809988782213,30.978643639636406,31.298455934271693,30.071722829419897,32.820703315458054,34.32184690553183,39.247811659645905,36.007940588829605,40.00200156841258,41.15076546298313,43.82140945984367,39.52907778042287,37.10434698413857,32.830289976810555,33.036633627245486,32.529317802015306,36.40222552740493,37.125955703730654,41.854604288431034,43.13443556844621,41.17680089110333,44.61775940613853,44.20190985192424,40.94859824340785,40.74995823704955,39.886255870379195,37.76892655702938,38.27845440654293,38.516231123801795,42.190470506930936,41.33447417791073,43.5238133894062,44.41991873071948,42.91681936421508,42.67873855136098,43.97336864139432,42.17553361802619,41.41094396403227,45.236322455590724,42.32790613933105,46.91175978000119,45.20551051144795,41.46499134968651,42.184390595852435,41.9225153137446,38.48791722343853,36.5965676527591,37.8654446775219,38.109555103865446,42.83814700568054,45.036562227203945,47.114580639185824,48.350402040309035,48.135421388385254,52.69299163123562,51.73980888333424,51.812152865644265,49.049105194916734,45.34202440742603,47.98864755433768,49.42475557695601,47.224750736614624,51.3302303216611,51.78700869164379,54.59057923424294,51.485069220947416,51.63399494944795,50.48891413719423,48.737447232104465,46.147022740727536,43.45618456031631,42.85598068525638,41.23930233859959,36.684908067562674,37.147214772001085,33.43537874748909,34.8949297238778,35.17943136159151,36.26499252493779,33.222810426365015,30.360804769073518,33.157041736581114,31.78909492758507,25.922691211158085,28.205120453953306,32.653832848558096,27.85225925100758,25.493135572352433,28.329699991785766,29.192896249447582,24.43258944700947,24.276743312240924,22.442198734193784,27.22608961748294,22.829850658260053,26.328386594154683,29.621972824669804,32.96871105073404,35.27841984585669,37.29408731567966,40.174884065668884,40.25358195590401,43.6702280963438,43.524922018850994,45.7483784376019,42.49709913311764,38.15956648544676,41.736934439838485,42.299882166587444,37.49478769825353,37.44948414532261,40.996098941600614,37.69690464366891,33.613219202321346,36.18558272183768,33.65887372735247,39.33928795154563,41.47162616491796,40.926506755262295,44.57194478397016,47.0159150668895,46.25422123817108,41.67225432431718,42.521588795531656,44.96362973214945,40.98606396755993,38.117141005578034,40.82007412327923,40.163807491341885,36.02671518728707,38.36860664324274,39.7878807024028,36.435872548202504,34.544897626500806,37.31821688666655,35.21084857139831,38.368230996285156,38.64909519117388,40.22891103200793,37.0410436430126,32.96573063353921,36.148117254927726,34.827636954732085,31.369499755227572,31.298735414563115,34.90674300873035,31.0264583061303,27.25782306938079,30.645281154864733,32.4806224811408,28.456305825307375,25.293477645129748,21.710798060919156,21.25188393536228,16.88950012747096,19.01244366207656,16.923348572577723,21.086316226186316,20.80143172026061,16.32790922028984,18.39513897433383,18.07867668253662,21.294446612913575,25.162852926478607,26.284542856677835,30.65860481520575,29.724469054631957,29.558467943585523,34.191729121642844,35.714902940515294,38.71490619586157,34.23767820619498,33.37853478139131,37.72649206102186,38.17538548756276,33.29674731500248,36.1414730102809,39.499895672962744,40.31606930839715,40.76307457848751,40.30910104503999],[16.748774678157584,15.656980236250673,17.137346818250208,15.182090828375104,20.45688513583085,22.39682411874261,25.439335080708172,29.515406671571927,29.681442850406007,31.45806275419418,34.4747328343733,36.885409102797674,36.41849089344658,34.88138435730331,40.01721720384689,41.18480053517291,39.03014143885338,43.28951323164615,44.84589265204745,46.72429229597977,49.396486360755866,52.41077334914897,52.9696390961072,51.16381779965276,48.609374836593574,45.35159059784049,43.559573875317334,40.678772456814194,42.56895585387015,42.5970882498792,46.64675626232433,45.757710667092155,49.541661831584136,53.162572175541996,50.42066677396613,48.24674234512382,46.94378291123071,46.67543804376661,45.264501878130545,50.059093152875825,46.3302750084588,48.7925192457705,52.88372798598072,51.37170929711814,51.892157802029374,49.34681435405658,53.0792459983686,54.02690008799862,48.99041339066009,51.90186375956964,55.334284197417524,53.95091863081325,58.35861307072152,53.53373618855106,59.096715277026206,61.565470893936514,57.855772582435605,57.774424023698955,62.54820634656644,62.25557244896465,58.37049990616587,60.587418971242045,59.14245320112331,60.54626499293447,57.76396095038219,54.381085781179436,51.802963512417776,49.68259946970492,46.982596541901046,45.437135035945836,44.32052080189984,46.600031850498475,48.89117015825202,51.94323261014702,51.31635007383459,57.301656175286915,55.85989443659437,58.853337448543705,57.21802527867559,57.586501300690585,55.595857156977786,54.10996418239346,51.704553628894296,51.23119533597164,48.14748615967606,48.1438185828254,50.587679871863315,51.9333113090573,51.92046438919955,55.6030612421014,53.56670529220163,56.61430852598221,53.41812786212402,51.4940102388586,46.74517462342484,47.30677115523326,42.953494171869046,45.17494207488825,42.28567318933595,43.13916310664675,44.74632158627688,42.6889053353536,44.49596295054482,41.384794459646756,42.91884886282777,37.99324751979889,38.91707182468822,36.74550541054786,32.51823076283984,33.983452203417365,29.930603061864673,31.59247380403746,29.865360475713008,30.245609799098244,32.35221769025053,31.726076702931117,35.69601217906455,35.01694204586436,40.48276736272182,39.698029061689475,36.66649821493238,34.13266743424248,30.46418236263518,28.573261591842073,26.639161999835416,26.673734781847102,25.38189187333825,28.0269112316693,29.504225737826022,34.42098850417346,31.22220795409126,35.26000649022714,36.398362057989615,39.002810137401156,34.73823865056698,32.30963079804656,28.073391727340013,28.34783681338417,28.00919137279441,31.891941522408963,32.948581508454836,37.68229407205997,38.870560460051585,36.76476106522022,40.129178104045664,39.70599914177572,36.438365078611334,36.205631022691534,35.25456286769438,33.28159397335924,33.76676377624611,34.2886182833003,37.96625817532524,37.443935136735135,39.594002098479436,40.21719643966346,38.618252062062304,38.19660502689828,39.46353527639878,37.47629853899838,36.66620988049166,40.58406516600818,37.70755335208971,42.240089560634374,40.55651718720928,36.938384441102144,37.58921301554289,37.51566907952127,34.02089082037234,32.07296920094323,33.2086558461278,33.42696782212405,38.09089543583206,40.25538980427276,42.35084000675849,43.58974048311149,43.48383841321098,47.98153020307968,46.98447630451272,47.01177415036527,44.25120410191649,40.516268826496216,43.16979857169798,44.64650109923361,42.4594394067462,46.608008214040346,47.116134575238334,49.96095866312233,47.01880882457577,47.07512103440312,45.983898170368434,44.103143595084276,41.54857689509073,38.819426839033476,38.2202807576734,36.69094442911232,32.072701223357846,32.57602218605898,28.906721901816304,30.26713582699078,30.81377034120442,31.8478710816387,28.667818468464905,26.009561052548797,29.050852550155145,27.58965489132675,21.638334522633446,24.320806875123232,28.930503738908392,24.0365419285449,21.932254172147864,25.13208593776725,25.88225347977128,21.20795825881729,21.575028117636045,19.420729705867156,24.680717258899413,20.112318426294824,23.16246354745013,26.781190319835154,30.187511981983103,33.060998696437636,34.73516569754731,37.14784265468426,36.89104107223262,40.151912906522234,39.64701773184102,41.97525765867094,38.99113592325551,34.307865665849484,37.72529361663033,38.57004050552725,33.77374245706558,33.40022160216713,36.92938689485441,33.987240225873705,29.783069238277882,31.893180129543413,29.37006204090116,34.86454312299456,37.151284403641434,36.737724113746545,40.27793523390307,42.89369558489836,41.908015611861245,37.31847443941425,38.48420807026483,40.844846275124915,36.72283966315768,34.06450228763232,37.001023549475406,36.354880309528696,32.22947710431383,34.87032611865584,36.42963049104017,33.163452101428156,31.37372926079303,34.30623942281132,32.04371959677997,35.018776759885874,34.93199835952527,36.66751081299522,33.83920792057063,29.376687982033136,32.4189552572837,31.504736447731503,28.038644197015433,27.493850143366743,31.49414819651549,28.01102599330642,23.758653801408045,26.922303885647253,29.317320370483294,25.619732736775212,22.094962682368546,18.188295978698633,18.613321618498652,14.039994112950438,16.475771661481087,13.452629288527273,17.290169872556852,16.861937674259188,12.212039198745131,14.015530160652416,13.88993300008243,16.878716691082243,20.855750873216756,21.609323951650047,25.964099799122547,24.930963440191853,25.040250705316314,29.655648019482427,31.338989276115015,34.33923523086784,29.951995497600333,29.33240477131335,33.7246703845204,34.12732355087427,29.57611578560237,32.52639876215741,35.96086191747818,36.93549522687904,37.33893181041142,36.87943506513852],[20.33770398763026,19.05874459823269,20.00217275707957,17.301888636515518,22.170901302847625,24.45635976073626,26.999526676329843,31.330178166239442,31.180087703607224,32.37350420830812,35.40141173744163,38.20223359868334,37.26616299771724,35.35670009799206,40.56978902094059,41.81836568447403,39.27596850732652,43.27812384196955,44.32907651361352,46.39625880915237,48.74467193931449,51.76918741294683,52.034962255432745,49.99633561632592,47.73029479855169,44.52362591861586,43.07498850113149,40.44000100785659,42.68954620310576,43.15597302351949,47.082923801357005,46.644174394898656,50.504122402002444,53.86031778793549,51.06205394894904,48.57724813542813,47.61019034689519,46.82335929544481,45.26068375215822,50.112606767400344,45.96585678601712,48.36063943451381,52.46542977891515,50.73066375557171,50.90638861426131,48.23839347261228,51.88827605286905,53.187421590912145,48.312437321699754,51.09556398256982,54.77501207281178,53.56875517654876,58.06594687160232,53.39185332653103,59.163461104059486,61.308239946109246,57.46993052635882,57.71780055927337,62.42863075227191,61.76966547291989,57.90167094329117,60.25830756595412,58.995262914816706,60.020087713861884,57.17649389485137,54.047129561100036,51.23860675814389,49.43835357261887,46.47770922157463,45.24435302168461,43.857872500878116,46.000504682997175,48.587012311612106,51.460049348904676,51.2318801923113,57.212682050496994,55.80397250112575,59.05608759841714,57.42760746749703,57.68721973460359,56.02375338874029,54.463681081201926,52.4720583389781,51.873708707261194,48.524850374396465,48.62126327031953,50.78215443930266,52.517825420555084,52.10521345398207,56.08251579815538,53.86143538592835,56.84751225337652,53.80090783665305,52.15185603305794,47.431904240035976,48.05006634629909,43.70128218845904,46.2686479463295,43.6117541873104,44.969909878339394,46.165979308582024,44.4954565075215,45.853169824837025,43.06345672244902,44.368229592464196,39.6067492140931,40.78572194563338,38.420898652521494,34.376287497434674,35.93418224870572,31.839582004109918,32.934690069891076,31.16716346688772,30.959055066462117,32.77999311941888,31.67453558066922,35.45989148844467,34.304165518892255,39.65115200885951,39.342903547369446,36.18707381215732,33.975840346620885,30.017747908644164,28.579007023967318,27.21013961043924,27.201643609356744,26.8648912906259,29.188839524163683,30.867984206925726,35.682894728718374,32.37156630622767,36.55832266105187,37.20370201657043,40.05633429023549,35.35905985404004,32.8889953449921,28.526903812992114,28.428574689633813,27.693359588525638,31.57463204158214,31.909103216768028,36.55534755017049,38.10083528609448,36.32954064320366,39.852058370768205,39.800214284143514,36.574121415831826,36.82401510700175,36.2589446675903,34.57583267559384,35.55999841855385,36.24505363796005,40.25176187221732,40.003038008107445,41.73578671719252,42.16229907204623,40.20273122878932,39.91263373406001,40.710276691632345,38.81326596178167,37.412230550909456,41.061725418913326,37.710528047168225,42.35334484835252,40.39422716773099,36.40858025235188,37.304570343575115,36.806835282386984,33.55946943216122,31.596255437441297,33.13716548797675,33.413148591901354,38.335037620005735,40.778161656342675,43.03738213804399,44.633882087975195,44.43846409815303,49.11648231012963,47.74547072469163,47.96832159939075,44.813712173063365,41.54355222079793,43.95694093541303,45.189183248498686,42.80375288243487,46.678527059967905,47.04811251971554,49.67943713275254,46.298732432698266,46.63575456459413,45.51554799237295,43.96947986498573,41.52803159516495,39.04978148719877,38.7370452340418,37.41684484522236,32.873549705826385,33.86327357619858,30.53468193956393,32.18830300985924,33.132264832239805,34.40488729910567,31.064011539074535,28.58211053190003,31.97266440187965,30.624058107885094,24.596318751058433,27.557196486196183,32.391880713611194,27.531515433614086,25.605869834043865,28.967609572338738,29.68682641891995,25.07379742808567,25.639751536906463,23.33505517600703,28.65401459519348,23.626410310899196,26.618151770914213,30.37959677832724,33.45711846448551,36.48148774183376,37.890591878497645,40.315264319819555,39.81073842696853,42.93534714122989,42.30420752323766,44.38132891549311,41.45638924712509,36.76611830612832,39.930037942324134,40.523273543666335,35.77098110684938,35.281009253341075,38.485301353824354,35.40296132421187,31.305295355361583,33.08568256349047,31.21392150360597,36.698682901113656,39.16761699764893,39.22320533812971,42.75940778063361,45.683719809214985,44.53539093661585,39.88322851972369,41.485579943770055,43.86916178201059,39.622409257637166,37.18738673238523,40.37717901001713,39.77059019834547,35.66838370202605,38.472119847064874,40.15493849195805,36.951444816818274,35.20365168466105,38.14990850465888,35.75270057336268,38.53606133357975,38.185675343378634,39.80980021712422,37.23956851921746,32.67847093257444,35.36067476041052,34.51923283205345,31.171957348435516,30.189271774320186,34.03472316063572,30.67888576400828,26.385173425602257,29.023374545884447,31.39701554210508,27.794085158578895,24.29261027530918,20.721883748662126,20.757882943750726,16.482483138975894,19.682636603310097,16.85998280375839,20.619363342020833,20.338600345808267,15.573691191522919,16.799982686561123,16.165044416423,18.730604026746178,23.11808168791352,23.594368348351676,27.80329202821651,26.582343645950036,27.619670656656954,32.162573279034454,34.136760790993314,37.03262299138395,32.718273868074895,32.52357074372199,36.91547327496923,37.058203879306355,32.90663542377023,36.04147815212121,39.419908972945336,40.387882754438586,40.704624681360876,40.13529061126538],[21.340282484044227,19.34340900548446,19.09186102409109,16.211988948938206,20.061963611181962,23.372174973191164,25.49307954444827,29.96773460789187,30.157562823267785,30.94087417957718,34.20875560691351,37.07327400145699,35.50984760832776,33.82100417863983,39.03221236051895,40.004964502360444,37.122462088232176,41.020514511966525,41.82973139418702,43.65046749490609,45.90488058399937,48.67426903928196,48.94281817604111,46.76102382052635,44.48114587539782,41.51525013762349,40.03000848650103,37.657748838614715,40.17114733129729,40.855243284723706,45.17062758432505,44.68219718003949,48.73622587923365,51.87852038990143,48.828480651452615,46.15927065025854,45.13289898533097,43.95580600258121,42.13607107917752,46.730780185431044,42.50666036017798,45.14478834386382,49.12711053698402,47.18181300621411,47.27030381544553,44.43861460319044,48.00225749396553,49.418783040696255,44.49912384836599,47.054553968481784,50.81818641667007,49.78338979023256,54.37574236047559,49.847040831415384,55.69396871870679,57.780089544734885,54.00413487085621,54.498447589464895,59.16934408761223,58.344516094261984,54.6919374655627,57.31428418058654,56.280553001180934,57.24952882793004,54.2074757178954,51.19062211492619,48.64995213398193,47.056110626164546,44.28275380081338,43.37810737433771,42.02203239429536,44.38579585886996,46.85532287336369,49.39273920029447,49.169395113367266,55.09521056782885,53.34633653879727,56.717610755718226,54.847343998772615,54.81750172510879,53.19672181363064,51.351458282960145,49.56568815262135,48.68585561954815,45.22177744738053,45.628498242544346,47.82568647857501,49.85596923650986,49.490659508832415,53.77941601635987,51.71171528875868,54.91807153141116,52.05480408685518,50.54031510090564,45.870721049883905,46.826520560908534,42.516405596154605,44.84626094419315,42.24773108657103,43.81661801289855,44.41295683941253,42.69938689495281,43.603972465916144,40.78397865928101,41.57351345721702,36.96515164047618,38.12434497076098,35.48894979765748,31.677883563904775,33.53020984150774,29.585027040322363,30.380760357186855,29.02748476710709,28.3857954503293,30.489926027731265,29.065268560889894,32.858650632018204,31.451991744760885,37.00274115770441,37.005523367078524,33.99554360411619,31.939228402485973,27.702590093136,26.308216531332953,25.18145566999119,24.49539746066729,24.64317946853145,26.405427856840983,27.958298994740108,32.59011626558905,29.012584668045807,33.197332025004876,33.52667249793158,36.64543611465355,31.734479189792562,29.472546400882614,24.857422304826432,24.90465625523063,24.302166614500205,28.208309348632387,28.478072562173377,32.99273128946882,34.824126378375574,33.0957238685225,36.58872904345124,36.90968564404023,33.707059641074736,34.28063941452985,33.78237889429368,32.590376532078736,33.71991271607536,34.970963430955926,38.99819296708376,39.305906009629325,40.89827702993905,40.84083060759792,38.61912894682967,38.04593169429302,38.58272068548489,36.31602425083364,34.44170727845207,38.11462548691591,34.38728893336049,38.975617558502904,36.63292436272711,32.50412667326122,33.25171627003685,32.54257962254164,29.314778217926534,27.517116420966897,29.199438720114095,29.732791255253318,34.753109641684205,37.410758288503146,39.90439595740028,41.751197155026965,41.808460832317145,46.4032071844065,44.67633969457471,44.86455771048965,41.36803179888411,38.37561473642167,40.412995396602554,41.42362460510417,39.02579797697834,42.88165256513138,43.401684841903716,45.75931214358695,42.26487271409046,42.51582123147906,41.27490372197128,39.89028121570771,37.39129803972036,35.011207153323866,34.80051751868444,33.55850564781052,29.114245914278253,30.414442227350108,27.394550081279874,29.36328369557721,30.616016670045273,32.205123937076905,28.81257075525344,26.439317094664467,30.193390719142602,29.140179432663082,23.108561098425337,26.302831530169097,31.448727274968967,26.903395525947204,25.213117449822445,28.811821720585574,29.6834108598485,25.38377233029576,26.18915292157629,23.477864788811853,28.907215860294613,23.285214991005716,25.868468897745263,29.86975450713282,32.52053220410796,36.007653992438925,36.89102665006,39.02424934990608,38.096115444866754,40.97537361794886,40.0964522971814,41.93723245385215,39.208627054816056,34.42342335133632,37.26037374021844,37.733307808775905,33.075173330241526,32.36108659337505,35.26297612945475,32.25333416415531,28.23348439825869,29.576069336418154,28.25671927917103,33.668583801093746,36.27688950209805,36.81506073631972,40.32843177203962,43.59208005230166,42.32042798082479,37.60837983843892,39.709252447374226,42.17987832538484,37.88299704230115,35.67939207362181,39.25240763245114,38.83293614486679,34.763679371097055,37.704534362915204,39.68883874579339,36.799601879687046,34.9627651036973,37.868044172250265,35.19812447163162,37.58576189311227,36.78959703438177,38.27031365996802,36.183517647558936,31.442481160068382,33.589244892141046,32.999490047451,29.844621402045686,28.21093684328598,32.00337172931333,29.05775177769118,24.564301512926928,26.530908790831486,29.1490350585022,25.92244396941568,22.315973165305007,19.01833371347287,19.27998764980408,15.41330497791774,19.318573050171956,16.38858072032695,19.72602888455385,19.866201638499422,15.101325836703452,15.365310746525031,14.17742574583012,16.10541706066035,20.7476059930283,21.055545022472547,25.012985823963998,23.916615371684276,25.880344883040802,30.332360028696716,32.4802460534403,35.44783357090524,31.498293265311425,31.59532640100693,35.95516458047613,36.17791349425258,32.56546049591419,35.66203671146476,39.137115907003654,40.277859010628646,40.50227859339193,39.89832864656833],[21.575749393260782,19.649320337142914,19.298584889806836,15.4626235518339,19.223314283307133,21.918420488249076,23.497927435034264,28.0741982902475,27.655612858325217,27.95954351618063,31.07429981054502,34.274594328521935,32.554576149944005,30.411909744668563,35.633494139842114,36.81276995318096,33.80758400137063,37.52357169878698,38.12569943140325,40.254434515711154,42.35781192398157,45.35420275436959,45.44880345104065,43.299783359501916,41.186131291955014,38.024786099179934,36.8109485911705,34.400379891682874,36.98019361586333,37.907025461415266,41.80974545703711,41.7922319965418,45.768607097481336,48.7573463530783,45.845707756002696,43.03509659203012,42.40374822725661,41.071967547828265,39.39761413625425,44.33980817931105,39.84677263378387,42.113823848107884,46.23087992425003,44.39264572154186,44.373151313841056,41.72417572428465,45.374753888726325,46.802655366976474,42.09931688653198,44.972472414188935,48.755015461319736,47.56684990296878,52.05858896679731,47.471349891525946,53.38924572282342,55.22952685129962,51.27465932814572,51.7461249586313,56.38600745668624,55.467856968293624,51.58806421177621,54.03843848056311,52.942528420084635,53.6929272945868,50.78714780785459,47.85171759521561,44.95462055471749,43.434706960730246,40.38874734758184,39.5175439074685,37.98486332541038,40.18283238605919,42.85125943372857,45.42864046533498,45.45845601213977,51.39349568482452,49.88967538662565,53.36905740949976,51.69583723849569,51.82687741099813,50.48853170643203,48.898125701214184,47.36505385087063,46.7105942328336,43.10477336769433,43.21478418327861,45.051194262253624,47.172626215806545,46.37278017544217,50.66170426889633,48.33522719274171,51.3484518751995,48.521686397425974,47.18305507394242,42.54525432899517,43.40212743282739,39.1152428165078,41.85641113414642,39.505004238408596,41.54820444309115,41.993701883658936,40.862215145985566,41.52948671182483,39.272926774917636,40.36413415663118,35.91899857654705,37.643861961215485,35.22268773133563,31.490927758869248,32.898264678182585,28.77351914271549,28.906459322893202,27.064610354868435,26.070529925963722,27.539667552785957,25.921172798783477,29.495784802033956,27.950005328007283,33.234430897555384,33.32937555864156,30.166355670717213,28.27282335601831,24.02919288737973,23.007695691339293,22.320587611803703,22.206333010929452,23.224389297677245,25.099583852042517,27.19595311176889,31.793883537394176,28.7949127973829,33.24693183437551,33.221259908435414,36.016358937740605,30.878467230697428,28.134033702471015,24.0658477364514,23.144401932320992,21.852030258282582,25.63352691416387,25.38523363813752,29.981024534833125,31.676795632419857,30.17409766858418,33.805954689083265,34.062514642998515,30.918117668076157,31.692131940099088,31.619756136126448,30.382153067154427,32.076938234624976,33.091311435109716,37.52124917286995,37.898115845235054,38.915839523975066,38.868563811427116,36.37098020006473,36.214731705333996,36.31891884621952,34.60355967697946,32.499249281289046,35.73222668059673,31.990825646875976,36.72009049099293,34.72931341794743,30.525057478487007,31.919051212391796,31.308045943898307,28.448360618150915,26.121407356371108,27.97623146892068,27.99029294441888,33.072057945093164,35.696924739167024,38.01195481033208,39.994033227654455,39.611696879243446,44.49533883487651,42.73127262122145,43.257893219685585,39.78943718048748,37.108086160368394,39.456567166622115,40.55083944419059,37.853554085955516,41.26825353375132,41.317844149894,43.936322820814155,40.26792426041206,41.023184972317054,40.13803544178168,38.74350115224744,36.71862886202452,34.575126119466766,34.73794556717595,34.012301543713484,29.481230097900383,31.161127205560508,28.43862441837169,29.95877768689804,31.904584188758378,33.0713902827702,29.35567443192081,27.752854014557276,31.693631918164474,30.098907710145028,24.291580295207748,28.082251100561592,32.93237860995269,27.96312322405409,26.79674454111798,30.594149017886412,30.81613210496926,26.546909892056252,28.105374230731584,25.643149763535213,31.346639506600848,26.39670060563695,28.550823244990664,32.63363995796882,35.589005752858256,39.31748864882973,40.14423504365148,41.831692988867026,40.69028494290464,43.39678989467049,42.0464496267313,44.11999899664479,41.78217410662864,36.60681398710489,39.17865074261848,40.094900014998906,35.54157181105187,34.34124637157016,37.10613254324058,34.68094785754486,30.61598609895813,31.024050549761128,29.8888697431425,34.69613692102893,37.62407669228464,38.29293123458266,41.46974022219252,44.855467640119464,43.08558550564768,38.53382664967507,41.01276674743542,43.07256065301206,38.49645346782001,36.782923213418925,40.34881332099327,39.64953125964375,35.77319728369687,39.196972464693204,40.96882479158399,37.84710846553018,36.5618073367104,39.75273742151287,37.24233517449454,39.637338204730554,38.5724114099378,40.435576317737734,38.63989573121779,33.5461853757138,35.75308259656241,35.685974422456304,32.51221119626513,30.537189288775274,34.80416533587117,32.28510156274537,27.435805569346304,29.158960684760142,32.33573761730957,29.462563769449893,25.649078873894823,22.09855729507652,23.129787713863617,19.204069767799304,22.861756674146964,19.18382825497833,21.917390033862986,21.185603273195646,16.838967244106147,17.139527871581045,16.703079640007793,18.00770793883561,22.57984802345525,21.70606939580955,25.48579352423514,23.56148594697283,26.026208310274374,30.181188404814414,32.74774373992597,35.21152922094625,31.08241151423971,31.873536621477967,36.133474214778936,35.63550029725293,32.5464310196301,36.07236457524249,39.233439318078126,40.246729786053365,40.38281800797375,39.65225692300477],[26.304138909750975,24.181289987491144,23.36717794344132,19.816621676221647,22.758555503305878,26.275720211111476,27.56190615708865,32.176391237215626,31.955460699727457,31.844304429702824,35.04251576785944,38.36257323324713,36.10070727612495,33.980113969711525,39.13772887318909,40.15274169372058,36.742945814280446,40.15090131933683,40.173685656183345,42.197644500999665,43.928388512252305,46.6433235890188,46.48388521115323,43.982306775163536,42.15469477826791,39.338643959336274,38.39131939873301,36.46942611386135,39.47886859949423,40.81211011071369,44.90546834874466,45.06401294398122,49.17437076437325,51.857922585636395,48.74710111335655,45.65542869100529,45.13672954896848,43.1896466842601,41.17029954506981,45.76743371893465,40.98386287004386,43.47180628891008,47.407842539075766,45.16034994262234,44.73499050505963,41.76983653273779,45.1712714690104,47.07943856075405,42.4840427758145,44.842566305933644,48.919189413296,48.13930430404768,52.79495810041362,48.542745240105106,54.62291844884035,56.19762259095633,52.270541663073224,53.24582082473961,57.76861771965634,56.41328595501602,52.82815174247547,55.63946388859798,54.900593082963034,55.31167474986588,52.19359550279078,49.592600538627345,46.79141135869045,45.71250191925659,42.65103064824699,42.271050569464734,40.57149283626963,42.75234941135173,45.55678475896897,47.73190644984705,48.07113953886767,53.897194659620254,52.165575433728534,55.877411437885876,54.01400825097016,53.803406266669676,52.6903259517571,50.76026965073107,49.629768438420534,48.58962442840489,44.78476609117921,45.323110247872705,47.05195819829619,49.64068432839065,48.69614456250454,53.37889612394751,51.09648553038405,54.20498978127137,51.623830245254716,50.541519926075104,46.003390473380506,47.08269918654181,42.874160549244124,45.59235381349181,43.38446997231245,45.65667658870105,45.59099616315095,44.47952816443537,44.680632011057725,42.42096672929522,42.87732967376547,38.64518352769726,40.20761183924062,37.41248928336888,33.99795381965654,35.847497603922164,31.973904189794716,31.868579949690016,30.506412916234037,29.00024272661852,30.59624405275483,28.48293019188915,31.844986826833953,29.733962947705773,34.973402108353056,35.72838678661935,32.65527020490548,31.170684945453488,26.639616074606764,26.002875807629273,25.810579858366015,25.052275682145684,26.644301425816952,27.83883596664186,29.662051961164888,33.94214595014373,30.450999916532986,34.73027284147445,34.275896931342,37.58800727387952,32.18035822167164,29.884868331196706,25.399421391198466,24.74996621935944,23.51435812517012,27.202713095026137,26.300575928895913,30.520194228141108,32.86733220011084,31.71032736093836,35.340376009576524,36.23412189239463,33.198994539921515,34.5002944527231,34.60550294102038,33.908090590510476,35.734174710033706,37.2012745621622,41.590426104972764,42.31975800023,43.27100917265742,42.89230763633792,40.188392946334744,39.80781864362599,39.62453977809626,37.56110306221787,34.85123898152501,37.98851985172949,33.64406637632608,38.27283375403619,35.60371377515766,31.026299736645704,32.21254537050171,30.89919956842833,28.22996019145999,26.389389741098665,28.651369821507473,29.18318698261742,34.41604811226339,37.408280175035486,40.064870491156846,42.40879822343535,42.314765467067396,47.08744314389071,44.834156936813514,45.333841371152914,41.335756200201104,39.13882321645617,40.81634128609899,41.463615587415006,38.78394273984314,42.084852137213765,42.338357800094435,44.363609086863185,40.26466407757029,40.99609942668818,39.79828132764957,38.931333133178114,36.752679161101526,34.855601021350566,35.148845639830284,34.372322185895264,30.181746027149206,32.20397353435557,29.850693860472447,32.01616470072969,33.90207871117922,35.64113779359184,32.09192763451858,30.207253606874655,34.2999648958873,33.292085113855045,27.445412659991064,30.97221375321402,36.1738872068351,31.688347217232057,30.350814021115568,34.10318995862831,34.788774212303785,30.645778091378087,31.813745992620383,29.04440794917728,34.537347565782966,28.744676569265184,31.053527551526518,35.15520026553678,37.4838354834989,41.20846260654783,41.71881389211982,43.647522318919904,42.34893181152273,44.94250542083448,43.76182834078646,45.32049006725902,42.86040023366101,38.03588673152206,40.394336881877535,40.686559307147824,36.24376938129851,35.23243908778377,37.582595158346805,34.69211725113681,30.93699672975331,31.466326162655925,31.12099207723657,36.15588852899809,39.01705004502335,40.19124759179866,43.52984217304298,47.17344856996926,45.58426653639492,40.926643323003596,43.64375836101128,46.0052821544144,41.567094500132214,39.803608798515796,43.63731362440915,43.223135689260474,39.29391662272449,42.497685632123456,44.572513281859095,41.76359421315553,40.113346311344095,43.07205281474762,40.30487370973302,42.41927435057903,41.22732939003958,42.653468817919645,41.01831404296444,36.13780413549552,37.81516272386285,37.50161672202947,34.557530046805674,32.343630504485304,35.99964133822543,33.45903980305447,28.93821152442888,30.117631023796598,32.831749602277654,29.994861846121612,26.48997887388046,23.650245511385958,23.801329032725455,20.485206661858868,24.76885294287356,21.905449153937266,24.85042396574454,24.91766251943237,20.38671522198018,20.14918450110281,18.783994877071464,19.87713333219001,24.58449281730598,24.25172088736919,27.73590052260206,26.305552592472566,29.448072879162464,33.57446225087344,36.09929989171623,38.77915917559741,35.023584393159005,35.75650716348871,39.9994931486615,39.79765565145902,36.86662285773401,40.185142569779984,43.501707924107635,44.63502355272648,44.740731193429866,44.01517980491729],[26.896166273887786,24.792078577676058,23.784090564650374,19.625973639391272,22.184898129624855,25.212139816426973,25.894988463109655,30.499306797002028,29.788814991109543,29.13480178658682,32.166025004211534,35.76365554922293,33.26013681989665,30.77126789730856,35.85655725761162,37.0055404991172,33.44145176374185,36.5979619502737,36.345484827736605,38.62304874334315,40.16530481607812,43.05105933542333,42.71413732400315,40.226665106630186,38.577802158918914,35.6220056334136,34.962269409010496,33.08151078017547,36.18945340370256,37.7989059462451,41.51958200988524,42.129288201955106,46.16325484431677,48.639448993501034,45.639557634812185,42.39808003608091,42.262455542834694,40.10582521176429,38.19996456012185,43.06633422836462,38.03183316825042,40.168919981437256,44.1991666133965,42.036390557707314,41.48949993659967,38.69965145065779,42.16661048353289,44.09069552152208,39.729754393879325,42.3714342875654,46.45454253327073,45.542079411945004,50.08776587497143,45.81578543285561,51.946087625489845,53.268438925207334,49.187836229255886,50.17147392609444,54.64131932177267,53.178288071602886,49.41068552409386,52.08411564992603,51.32441609442297,51.50887005296038,48.50185470021222,46.01271712785252,42.91436087771559,41.96014516156514,38.67643014314272,38.410236812847344,36.54504174299119,38.58387115282536,41.552244309402504,43.68313821858908,44.27961972839607,50.07463590435438,48.5294249016428,52.35154513781747,50.647803233252674,50.54810193265465,49.723142635823315,48.00795543438787,47.16094127190924,46.304178658567125,42.373457812190814,42.66625527947427,44.03236446348719,46.74259639214318,45.3861829265976,50.096804285830395,47.60268454817762,50.54519406819102,48.04953671238549,47.17186958057365,42.712648212508114,43.75178838951928,39.61825084732436,42.65770231335653,40.721857578266516,43.44864861251986,43.139106885293316,42.57754305010757,42.479989218421636,40.76940053893684,41.428016469497436,37.41984289692517,39.48093777461545,36.88740790731399,33.62007491607667,35.07482683397194,31.12923988928075,30.37260226053832,28.659975656966207,26.760696404870103,27.745295445629573,25.3887658597913,28.450753520278997,26.13825939370981,31.075176401930186,32.011834601620585,28.847575255047165,27.613571978680366,23.084081778612653,22.9046342279095,23.254140187308753,22.924179301959157,25.39558101151136,26.55632327164491,28.816913023305773,32.95811494878634,30.036284290962573,34.493493978887926,33.685331386201575,36.67095523107424,31.100250630860337,28.411543443338036,24.52310232861828,22.961952693410264,21.069693920837558,24.535213558346424,23.032673090566114,27.250862806835457,29.507141437120804,28.624644963161494,32.35177417248665,33.2521821420089,30.32477967543489,31.881494466043286,32.41678927560599,31.783844872174946,34.128521855592915,35.449809284297324,40.13942346718962,41.00718940721709,41.408184756906465,40.96242736926781,37.99442629286161,37.95878745857023,37.3258884696709,35.750439744316104,32.77883566796178,35.44292682991623,31.065166217561885,35.770878375728465,33.418431343449576,28.79612321701447,30.60614067735101,29.388431253473794,27.140562005923393,24.816125827112742,27.231195879253292,27.27267352189576,32.500083307507246,35.45571468618929,37.944312607391296,40.43277225358869,39.95834102463909,44.948408744229305,42.62547528220778,43.44139213754078,39.460657788004575,37.62585232559276,39.53559239687343,40.23501799899805,37.289722150415976,40.1231791446568,39.927572098596244,42.16563681820901,37.906693008619094,39.13221732759685,38.292319946413286,37.43164672264445,35.74132043600154,34.10556469307149,34.76337130521034,34.49791471848924,30.291780531887767,32.64820480647388,30.615863063722674,32.36154140445872,34.861025806095405,36.22700570902416,32.439036431797575,31.259063468430284,35.48773203316426,34.050951682909755,28.481243274205806,32.471700780651496,37.397135630724264,32.63787180405751,31.768089562121247,35.66961643970337,35.82800721788801,31.79453621447314,33.5801364069309,30.99354401444413,36.69023122028745,31.444189310855997,33.3509579825421,37.52168314056342,40.09229864981382,44.06236473386502,44.48944534251984,45.98009483482275,44.468703466624746,46.880815027298134,45.25574198855254,47.01701583663022,44.94437569131339,39.7772229343574,41.86515945963282,42.578420940771984,38.262822542176934,36.79920485484296,39.00267333423179,36.70752118894836,32.93395312117653,32.58045884552329,32.40791931297462,36.82660951196184,39.95960231897803,41.26628985617497,44.270241933351045,48.02464410725339,45.983693181962025,41.50398677285916,44.57800056539008,46.56271869951618,41.90913442594327,40.61485654422609,44.44756323654354,43.811683079431994,40.08706977557775,43.69654916492218,45.604310404908716,42.65029782695116,41.47247274492506,44.656371061421794,42.016525549196864,44.09307702137387,42.63487760883544,44.38608714036002,43.051910232910465,37.87276307299165,39.56113559688632,39.7345806360252,36.794966051862204,34.26564306606945,38.33385982696518,36.20921634845311,31.37632989759089,32.329637957279296,35.55854664867528,33.066583062214676,29.372263392261143,26.305723165481645,27.17623648102102,23.772601739083356,27.849606051145752,24.364804121364855,26.78165252968011,26.20021413960588,22.075252693257372,21.804844389704602,21.02547068542336,21.598470404683297,26.155342302373843,24.827503183014638,28.05369811348645,25.946272628081054,29.556689531300666,33.33892616651015,36.208896266362096,38.419924616198216,34.61348258260071,35.96445157478143,40.06421217133113,39.25271253435357,36.88351892865613,40.519614959616064,43.546509953970016,44.584115671047726,44.60292162050656,43.771899831654416],[23.40043962596015,21.088271189549975,19.77750121148419,15.575685814646867,18.0003275381052,21.120565577144852,21.883056014833144,26.50129264375444,26.05130791644938,25.649299963060944,28.839910443102205,32.23851504096948,29.846924787924245,27.68144164976393,32.830120577973965,33.84883135847267,30.46664932265318,33.93726931939646,34.17818610617864,36.242222285705985,38.16357898893159,41.049246331737976,41.05115311078568,38.797667509161535,36.76219647476883,33.714395391559925,32.62928374214375,30.463122329327316,33.32810855548075,34.60849022679195,38.606397281282774,38.817625360602484,42.898306017877374,45.5812537852623,42.532936644511025,39.48261291320057,39.036017527382974,37.250099113018386,35.429929488319885,40.33088584752761,35.61404058335069,37.87299718113949,41.950338101773205,39.99201970454795,39.83637913253368,37.15872060818357,40.79002519970097,42.31340701046968,37.706139090490645,40.57862428250744,44.435065034497995,43.29837460011832,47.802661165798845,43.3155786066453,49.328704342581496,50.97137967498307,46.97153936566713,47.64428744876312,52.22398846123458,51.11203507774931,47.294877284277135,49.88005867523241,48.95656335993377,49.53691598909637,46.531937108115116,43.74822961402649,40.905464392799445,39.62487945499007,36.618075900185,36.089653983709404,34.49954820951488,36.80991578404546,39.4530984367439,41.72087533715607,41.89151389444175,47.75758540826256,46.08003430704715,49.71753334566748,47.94063867733985,47.9021142810131,46.77041605014924,45.07894518323294,43.89086031495734,43.12177569085736,39.3430236606832,39.55417249519561,41.195280684085084,43.632544220288935,42.62373919316466,47.18253940170555,44.86082425230762,47.95672418292608,45.334127353929745,44.2267552208911,39.68980345926084,40.80162189686572,36.60949028230792,39.329901272826376,37.202365635399644,39.68589310829502,39.48956934449938,38.6751177247367,38.77732412449541,36.861131866371046,37.657449289384175,33.51257767853847,35.546750837656184,33.06006650604599,29.66273422635473,31.023470940481637,27.020565063013333,26.438132582041927,24.725046613580613,23.07881946141041,24.37943757466612,22.31626662284653,25.709935302449786,23.8209794455979,29.122420100247332,29.584725666424625,26.50357288005095,24.896786456856635,20.409629162053143,19.718544885324775,19.629275740451416,19.192869871907032,21.29297719599416,22.620695584296715,24.906428850980106,29.204101445592308,26.41356546643533,30.9447648834677,30.401214039090473,33.1778231494479,27.76774228314213,24.933840956504902,21.10689571158285,19.62351443282926,17.961877985454034,21.627620933728895,20.93950125552716,25.45237314713412,27.331756225409965,26.02647191179182,29.702720267940105,30.28236259673417,27.226468763791026,28.449428147436098,28.722363498797243,27.957523673113606,30.10870447693062,31.48352582776671,36.082889617395345,36.983729696022074,37.53786044556032,37.06071992274625,34.19750022616522,34.031241501561524,33.624987307112676,31.929722148204362,29.2519139756338,32.18457434954377,28.098027426358563,32.83590706111736,30.729103667775423,26.367769162965377,28.064333345712445,27.34273898038338,24.79613771636343,22.2625705674436,24.35335545777629,24.24113766375758,29.405312217835778,32.18619368808135,34.58424810956266,36.86772183892606,36.44899230195047,41.39298889531973,39.29390093495117,39.99665562981105,36.26042749346072,34.06060840213502,36.24448008801167,37.186888683458,34.304381449993905,37.38988470077284,37.272566802527386,39.80636783398902,35.94393817234368,36.945900949758894,36.19885293098059,34.94000206656521,33.20085682581102,31.32710654472388,31.8315354180562,31.535767277998566,27.126762315774855,29.290667629928752,27.102181642813655,28.558340183680674,31.141697002044168,32.285344689494686,28.432438894686907,27.438406962046976,31.65649516255737,30.03542943829909,24.56937800880655,28.722253966115506,33.50904756904719,28.70189013818782,28.02636702782648,31.98216894078345,31.984037355161572,28.0945013552805,30.134616070435484,27.583088293263536,33.33590959704255,28.438336097369394,30.02664202306783,34.21501153575917,36.96208433519609,41.08508414889828,41.492224077177184,42.69460043948984,41.13355881001741,43.51266488804307,41.71678357371695,43.71301873092241,41.79258673382167,36.40845707143741,38.51612318296019,39.59332977158445,35.26558574317429,33.618399854049336,35.99965240221772,34.05643083840502,30.127386843782816,29.571679126019703,29.036749378871022,33.28066757220873,36.46317787456,37.590107835753926,40.49365641289852,44.17753504240031,42.040330955616,37.60665079847145,40.66794405793816,42.53122145773011,37.82925200473849,36.61658568542981,40.41883597889965,39.72727127786017,36.057653401655216,39.78345681395874,41.64656561866623,38.70053370025444,37.65693915488808,40.908664353748314,38.3204452546325,40.37716754717471,38.84073767814238,40.77409148658742,39.536882930000786,34.220559643521526,36.0021808510808,36.4215186518193,33.45271307810129,30.853334951067367,35.24422989971363,33.32958596413997,28.28119310050013,29.307002724379114,32.9047329961232,30.587607281848502,26.71325653964685,23.373147876019832,24.92708615021132,21.421574284910463,25.22336838036785,21.303726233830744,23.303011240862386,22.47239251466724,18.62692839938861,18.239589884872426,17.852693910895702,18.1975756802262,22.619337158196508,20.914798785056348,24.18454775680859,21.905077036582437,25.417256808699676,29.177558670652363,32.07095458716679,34.245027639988194,30.42696646869587,31.831926750318022,35.90873652020973,35.08989657485121,32.808243503552745,36.45097891450287,39.46071375972692,40.53172349231603,40.54527726362273,39.734539063449574],[25.201736495841057,22.528960938737484,20.668670794067307,17.299402313002762,19.00065688612506,23.386465199723755,24.342068040529618,28.903166474109508,29.22333566422968,28.960338694485248,32.39536512722938,35.52120566579621,32.83425518860054,31.230016276031964,36.2977729760902,36.931691159287325,33.4012741925322,36.864061212070816,36.99528610417497,38.584056142584004,40.469141251176644,42.8947517739709,42.984001507772476,40.519434454921246,38.41632223671415,35.82195822287447,34.54594102127079,32.736876330178234,35.79283202731861,37.07665409120727,41.68803919336479,41.49139582485298,45.7586427700417,48.3690148122581,45.01945326854785,41.93385716019171,41.12660415365101,39.08953556500283,36.887152559039166,41.18680366706114,36.596793667650786,39.41218274001577,43.21937534698557,40.914091828666095,40.68066180725945,37.634413320368154,41.046765649545165,42.78137072716421,37.98197124495417,40.24882849977424,44.23744557017558,43.476931499178896,48.18014437338147,43.943053820891144,49.977669482390525,51.726980348234164,47.94265898980233,48.931953608381434,53.47142801339396,52.21881599064033,48.83393476856743,51.82829366264202,51.199348033681616,51.84539542078595,48.55350890761893,45.87083190691994,43.55198611975694,42.4541337528115,39.819194066294514,39.57783333115652,38.13362527157853,40.68203977078024,43.10082420553504,45.02694631342125,45.0556054580009,50.81841959270396,48.67872171196512,52.332965379419896,50.197458739410045,49.750493012593,48.45580106341151,46.27198666074355,45.09711948343417,43.84411730192512,40.073571308662736,40.87213623525878,42.828171269856725,45.478697062104445,44.85624920872548,49.6787698697114,47.69844713166698,51.09665172258902,48.618764409186035,47.4991163275131,43.01360476947889,44.436649359041795,40.29100229379375,42.498457478101564,40.2294262085928,42.441177468914766,41.93469383634137,40.58518495624341,40.52151127879394,38.089914409314865,38.12800215854936,34.007531759324145,35.47463713999033,32.52834620979627,29.317858128571828,31.371866465681,27.714053321718083,27.481266002808308,26.611696155228046,24.912698678519984,27.00067415931949,24.828665939605,28.32612459751772,26.2822749978896,31.877180212994183,32.61487172928559,29.82519191659531,28.28618254913092,23.658197058303035,22.750144993533237,22.50448846909431,20.947994697322613,22.66686818328007,23.33052146827038,24.943709757803987,29.03538088773722,25.4026212326125,29.64122605617344,29.053830683569384,32.46573141966592,27.026918348843,24.928904681443743,20.27600778710868,19.9122039215079,19.063743731665614,22.802786630682682,22.38728026397302,26.56707482756377,28.95861023913572,27.57945488637651,31.075252575524296,32.135322194888744,29.097365118281616,30.46751281582113,30.432488884151937,30.147252728626196,31.884504837424426,33.88047892789981,38.09493714624419,39.30062933053566,40.270892110689196,39.459039870727004,36.66930041374381,35.91723606102758,35.68147718043292,33.18548521415757,30.268929897860552,33.57993526738758,29.109967458280906,33.62828171104513,30.7297491104821,26.217904707401765,27.127479951212095,25.916696066019824,23.07690075308083,21.320921751044654,23.50864277946501,24.251449195325243,29.469020394529572,32.53206458427305,35.340225315240545,37.75278718652347,37.970185726067285,42.55060117445057,40.13692559125166,40.50177365641483,36.3733544085621,34.21936166134037,35.67202259515557,36.2547023065121,33.63645163161603,37.081134125202645,37.559452366730554,39.490140820123884,35.573674923564965,36.042995346136266,34.782119973042136,33.80816282979701,31.538677756969445,29.591531898906254,29.882125890212702,29.174422794293292,25.006549717222132,27.189628143287926,25.094245985538187,27.333027973638497,29.51051197418972,31.36024601065308,27.82015527645609,26.189886683224895,30.479340074071672,29.647265106590275,24.053708635353217,27.73731910984805,32.97250297034244,28.844786976546896,27.834906766300623,31.694544278071902,32.40638722036968,28.699846100202002,30.140403004634997,27.1684494966497,32.63562416479898,26.794132459108575,28.498981918669163,32.69706450437428,34.776561669388805,38.920437031671455,38.99424072398337,40.442264009908584,38.774503470070016,41.101589352834296,39.597645009477716,41.102531342946904,38.9597147332773,33.962279018387036,36.00353183415804,36.45482422851939,32.1595844800408,30.815176113216097,32.96784383479787,30.467589568349528,26.74408144054072,26.652476045956032,26.614687367919487,31.357661460630737,34.33698422239913,35.80803114907722,39.01273735162732,42.858364500590035,41.12554930196728,36.50800421944866,39.60080236366111,41.93224635646422,37.49598408285733,35.99782982456574,40.06769631456302,39.788483017092965,35.983364844472035,39.302725434158994,41.56545050915048,39.06425377096696,37.43839911801524,40.35652765486203,37.450352035255044,39.201292773765644,37.612815267671785,39.0207939119322,37.8747426596484,32.844569212867036,34.10565469599058,34.186229013518016,31.440625188054078,28.681688482841906,32.44718636549161,30.473126627224943,25.74508658903101,26.34198963306159,29.495743405096594,27.20615571851802,23.58579400717233,20.90098130836867,21.76676660439891,18.87664624842974,23.227841036086588,20.119417912145654,22.316706754505258,22.57702482722943,18.477536353468228,17.434805830841405,15.965466154661062,16.190457895600602,20.758823832705062,20.04925056163292,23.171727317511376,21.851282799553687,25.666030526581178,29.58305818064473,32.1868181217717,34.87485245880524,31.533027643355,32.476968512169634,36.58943899907864,36.508733428555345,34.10082850199563,37.29152509494525,40.63603896712659,41.92373514463869,41.96021666501977,41.2476579820556],[29.32830866506233,26.750586705871097,24.890284722324285,21.252425484889457,22.63680805535746,26.859857248508927,27.337852814898845,31.89159313799166,31.857156235443906,31.01483438211732,34.303636775986966,37.725118697223216,34.640808032063305,32.685396383125116,37.64326615897199,38.343739727114865,34.47600664229832,37.49721896685911,36.97314427543084,38.74455873286326,40.15780123248625,42.53055762972554,42.234175295359194,39.495376425697174,37.82584243088817,35.3824690558765,34.60680276069165,33.201113341176814,36.61552949046342,38.394247408875,42.730619498382254,43.059332985043106,47.308897758981786,49.56263888535724,46.21816167127997,42.835603267309835,42.45392737287967,39.83966661254755,37.50832657663487,41.768400476773856,36.74821559108314,39.39831588835358,43.134975158805105,40.581508543339126,39.88179841355105,36.72567518616068,39.95691619037559,42.142216680113215,37.67088727269473,39.71968858710498,43.96556425057942,43.44720780721673,48.175717828378744,44.21034007020699,50.395379445772164,51.70494659073259,47.81356724914605,49.20384847715844,53.592585321179,51.89486277297134,48.583093938169064,51.71260867137933,51.32415076432523,51.490870880882824,48.162545639404016,45.852301653717184,43.30262894480783,42.64170775478721,39.76106221705225,39.9338795350882,38.2051987229553,40.542215600738864,43.24596128076813,44.88749347646531,45.39716027668689,51.04320390341761,48.96613360171354,52.87142760230037,50.77624129060007,50.20242406085838,49.3326013326191,47.10974835307625,46.46232766791177,45.10192290699593,41.100654625185825,41.989150391224264,43.53941668860829,46.60361946600335,45.5092312654763,50.591163407899074,48.43341279722496,51.70375385381136,49.450371392886325,48.66988012123886,44.317332402080574,45.77669534766545,41.74012794181065,44.26744010774351,42.30822791092229,44.98780334901449,44.0828661767558,43.19246540094719,42.66369760433078,40.67115472101504,40.49938781010479,36.698307450436026,38.41071935249628,35.40433023365051,32.51101775043979,34.519598185241065,30.966297076186144,30.156093619890765,29.25128871626736,27.00355666731174,28.603571978118552,25.952083315828673,28.999968536803124,26.391148358232286,31.593725459149645,32.9615486795232,30.1426508696681,29.104265563457698,24.36203080806376,24.120062324277022,24.592935760993452,23.13272140746686,25.777481625990518,26.095258465905943,27.852522062883317,31.60113357326334,28.10401670079136,32.28447975217281,31.14415086411582,34.655450910691826,28.963324969123317,26.913328835041405,22.515989163741345,21.625806855720395,20.266889450693117,23.67250985749689,22.17273295622884,25.976648209272845,28.81911553717946,27.9856155214044,31.54039766779501,33.05625963756876,30.212158282902863,32.121188101394296,32.55001806894802,32.58018906700007,34.76803479233153,36.8044439330119,41.21929932969341,42.60981379536208,43.162341582167976,42.20760673388726,39.13836758341954,38.571888070255234,37.84327334282507,35.57148690462945,32.110524895938404,34.935343674226026,30.049713177861495,34.52302899649388,31.385016036915506,26.556905168452584,27.812510312142095,26.04214737498955,23.780023914720278,22.091624230996686,24.729326461891155,25.47236465172391,30.73877879627096,34.016090572769535,36.90468652688428,39.657591287132185,39.74149054563118,44.410048886625404,41.6331396105917,42.233788761485386,37.7698181298853,36.261140010981094,37.40414057454606,37.67892136626631,34.88655671824687,37.831770460663456,38.09196095112637,39.69929959956962,35.278407832514425,36.15273492022453,34.91358036752099,34.42932458416944,32.438513684245756,30.930813413896512,31.603302473627373,31.23122869780047,27.389807264134863,30.01019892863171,28.396669861146883,30.74559998861524,33.19944767515506,35.13456366594304,31.583026798255652,30.196640001300384,34.56794495538889,33.78670987246319,28.33623443034283,32.07251931421849,37.29333975612878,33.20209597162692,32.29537937104754,36.17101618048847,36.809982223055,33.1164768973621,34.633622551394254,31.67650590205109,37.13498311137069,31.186523936612453,32.899776682851794,37.09152146617379,38.98153741406555,43.13402891718517,43.06433108798297,44.50835437960155,42.702359865786114,44.87977122391593,43.289462229210685,44.56402973673065,42.536119206554524,37.650159622863164,39.41024740069281,39.64820435313206,35.53699506589189,34.11927351723007,35.87373900042215,33.377323416737234,29.931889719915276,29.455274779496627,30.062068424355907,34.53931107420453,37.59550406393674,39.432459772685405,42.52729437188177,46.55116759038582,44.68399811443213,40.14056911182289,43.517549007901856,45.7922743035972,41.331112113011905,40.05388336986304,44.20855085447477,43.931300092414936,40.211084755186555,43.607151382500454,45.891194485130754,43.41133681935942,41.86384178405474,44.78302055629107,41.849901574794295,43.48912608335287,41.76095614638214,43.08724987655859,42.12183147258226,37.11482395261988,38.137506690308875,38.267099711502965,35.64823956499626,32.707524105314064,36.252602634325854,34.41055097120993,29.821873258685915,30.046125764272787,33.051308519207964,30.906483709944737,27.469348161067426,25.10856808958257,25.64336359216418,23.004676636617052,27.503830568971747,24.588807017069808,26.797054086707785,27.027769903465913,22.96362744480335,21.913105820458394,20.366395107146456,20.39775871619273,24.86537503845096,23.957248767568807,26.7409099343862,25.278570725812116,29.597651767333243,33.283783000625014,36.04780189748944,38.53819771993857,35.30712191664224,36.556372571038764,40.580271511594816,40.249168961381855,38.16395723578782,41.46126553594089,44.694797949116825,45.946438181212834,45.92437793543978,45.14092502266228],[27.79279436856937,25.080792658461924,22.772235323486065,18.842295389499554,19.4669288438999,23.51274057017488,23.44860806547537,27.922904882697356,27.792886427125328,26.60557300844881,29.8878894898468,33.34617470064189,30.01824583798924,28.1004697339709,32.98496473825352,33.61156402540685,29.67893055109229,32.68101933787056,32.23307709285643,33.97633622501612,35.50291606799504,37.9548811140688,37.77814161645619,35.188282981667754,33.34891024428973,30.775381769108055,29.895686661335265,28.391827437287297,31.786606423179187,33.6042010766604,37.93604930635487,38.312008111749655,42.56341280874848,44.751656732470835,41.40734215310922,38.00884387853042,37.687490464155786,35.07918481299347,32.83094616427557,37.28486111858943,32.26079631639942,34.78985921727686,38.623278283162904,36.23912383156319,35.72437853373568,32.74775284759292,36.17168485520724,38.083506088930676,33.57705243761258,36.01531100814428,40.12320285677899,39.347721031514155,43.990181595789366,39.85683273716249,46.026193812801544,47.371604641410684,43.41888588378656,44.63098210295994,49.064383573297526,47.514916211454896,44.05239546027331,47.06733397499522,46.585324830428036,46.86484845832616,43.576349083142645,41.15000447605885,38.62120570366462,37.865154704417314,35.07081137514151,35.229463542906,33.59189441712495,36.069392975710564,38.61649145778246,40.236648416222266,40.62808262557424,46.281727122770526,44.174549875389026,48.05297806098095,45.975613463666974,45.472041617816444,44.60827084771726,42.5099017945834,41.88025479657752,40.669649309593396,36.649006828129366,37.352314615630775,38.82510794034236,41.85352181939341,40.702980903749186,45.76299928649591,43.60617732506194,46.906043988591776,44.67099604944401,43.91259318807113,39.5972166049545,41.1508180293374,37.169716904611704,39.63418164103555,37.7749578466618,40.65104403185689,39.51142910672494,38.86039799564914,38.139284515368246,36.43543616349361,36.405359901101754,32.74341444633884,34.821530600423756,32.01731126408351,29.2315572700009,30.903622152811106,27.340806961175172,26.051981662628407,25.01314315906054,22.500750149258195,23.90274179431696,21.15521389391026,24.170131769284804,21.60447467507144,26.91059901404474,28.177461680550287,25.414900902718486,24.38076397503071,19.6200631406347,19.432730563273754,20.154961014732738,18.711254701485487,21.963379686114855,22.1574963992251,24.2278165386413,27.87667485450131,24.916795588203676,29.26646985136541,27.95472371663896,31.082241547360105,25.330407369617113,22.899972280076163,19.02898195153688,17.410596232446743,15.667465363579296,19.027808159345824,17.550476683516187,21.58121069016906,24.181390383545,23.27362571044159,26.87847588091124,28.286380425054258,25.450635161602612,27.43466289530687,28.046281978117722,28.18875586442866,30.658036479863668,32.73475787441224,37.261003502054464,38.87647651768319,39.09345614854803,37.970681800762094,34.74295068804794,34.28540196186377,33.30379302224102,31.252262912153356,27.669233632058713,30.295651370188747,25.474982382581604,30.03354000035202,27.23317396523108,22.487720718972035,24.189944640077375,22.839865172580687,20.721949136221834,18.43906097408528,21.035617079655978,21.30170581116932,26.56281320497006,29.743633484649788,32.48757473291188,35.268604978063486,35.149869341672854,39.927265241905154,37.178784828007934,37.945245265989314,33.5968803590379,32.189665362456,33.63993081792413,34.09531400909198,31.116669401846746,33.859675836556995,33.835805357492845,35.79949956616672,31.507784402947365,32.6185420871278,31.73738690289541,30.97075695416107,29.352277261206325,27.90734476896779,28.802756128010362,28.869094621151756,24.90562109907923,27.708959126365126,26.32845585627087,28.156624987843074,31.183917403497798,32.69883282532395,28.957325931269317,28.290175721158125,32.74450669306149,31.571749256377927,26.506343083785264,30.64767779169397,35.53539316105588,31.32099121835392,30.92095169411432,34.90353214082495,35.07700162201264,31.652539195774267,33.75727702117812,30.954091183696132,36.528494501067215,31.21647263765232,32.37911702672713,36.604358647249974,38.74102813386396,43.18124210720964,43.00321598745136,43.8869814032843,41.8606164922426,43.83905405891499,41.76843412655741,43.33783070493028,41.75295560284028,36.47187306112693,37.983320838785694,38.80726763489022,34.82854047674035,32.90716688482993,34.62459826621092,32.901597147379206,29.369382693467205,27.972047583356424,28.529230762811352,32.31916023464331,35.62631626782549,37.49089222273679,40.2251862868883,44.305555970240725,42.01364134812507,37.66600305301429,41.354029903785836,43.251126681874815,38.62080156064096,37.804010215515255,41.950702314295825,41.49907808621094,38.01080840537124,41.7677911916353,43.91563251842897,41.39870355503869,40.28626592491681,43.38252516411444,40.57405362326448,42.11580762349513,40.0996004019781,41.77095834131706,41.15450151466568,35.86090164901878,36.88627979567495,37.579345211291155,34.98706614167852,31.731509242772553,35.77363126771946,34.442994850399344,29.5102537962343,29.55026036441577,33.200886080897035,31.48373893362443,27.813649987998634,25.15640736546175,26.674290335348633,23.950150183647484,28.092991751479925,24.521004043830303,26.010814254086007,25.67838321856129,22.192826738406854,20.967844237084147,20.069380441342123,19.480014618784644,23.6330214418542,21.688869406767758,24.160479478928497,22.096458941308992,26.84516912412943,30.160235826078882,33.19520948260439,35.285314072722095,32.12887831195743,33.90328358551353,37.74415609161985,36.97879065032998,35.484907292665724,38.96262622491303,41.951803320332985,43.170812934938546,43.06752700653196,42.22514171631787],[25.143932686250956,22.006586552977524,18.977783949581273,15.964689770118138,15.754263063469974,21.005786037876064,21.377946228889883,25.73002778800048,26.638649982495846,26.10798238062973,29.725299549094718,32.59440394670195,29.39531469604605,28.415424451493053,33.26209725862969,33.441072843899384,29.796959960248305,33.247040279274806,33.488850473329734,34.55505129389832,36.59938713739346,38.681664972583896,39.06035742413338,36.68100396297809,34.26858450917275,31.94844853230837,30.297517377329495,28.647466661259934,31.728059470924947,32.96843210602583,38.11279331642025,37.548851656470895,41.95654717307262,44.434151779254336,40.83945057894403,37.767836255126824,36.66310259450933,34.5086810849728,32.112780272581816,36.06527790923266,31.71584517344949,34.87398240164035,38.51756214496232,36.18196406660934,36.19462001622609,33.109545655366006,36.53732169222658,38.02004921510907,33.01185361279591,35.22556537110983,39.07538214473473,38.299487762828186,43.028598060076575,38.800131537842645,44.76857060715981,46.699935663659694,43.075762423805905,44.06047002163773,48.60423553482532,47.480000858495906,44.312695399159395,47.48045716213702,46.97046617514548,47.87367633928579,44.41669143528085,41.654773377068736,39.89551132408462,38.78891368897762,36.67038376318399,36.60159143306922,35.46698312118399,38.387693186969315,40.33998551706912,41.95538544081382,41.64220841110019,47.2795526589502,44.70317710658112,48.27627776646568,45.85539162415163,45.15123495474265,43.67675631702725,41.22930140387275,40.03731669959474,38.559413063556164,34.82517775933466,35.902127004731284,38.08289325722902,40.80448455428396,40.523535677739645,45.4815646672946,43.8438683458857,47.5351035294552,45.20487885615735,44.07526801661678,39.70554826029868,41.51081611890274,37.5019691055786,39.12064609741393,36.84455086995346,39.03023393362946,37.95804511879833,36.41897138314489,35.97811462860926,33.44150442005561,32.98695495180326,29.070387353890165,30.51032006150016,27.42434489318834,24.54042945349626,26.76249292629369,23.42496328307603,22.88441341290535,22.640994038985745,20.640250563277917,23.2575521251996,21.030133980355068,24.586199932124938,22.668670218415315,28.559199474498747,29.265663877125363,26.88008976828855,25.338773480395464,20.74771531881764,19.56979053352365,19.34189557123859,16.77374331178721,18.80076361634577,18.66546797553531,20.04644729846779,23.812300700990725,20.129375246226562,24.346013248813854,23.500173005159134,26.96487702596097,21.449650551423574,19.54820394138225,14.78753444307302,14.682162539932394,14.359009231680478,18.06410423014261,18.316549691499464,22.35925470129428,24.726400026334563,23.08976683416607,26.374391407487735,27.628741804653913,24.637568554184362,26.114013830215864,25.962218998335548,26.2379019299249,27.923771492176513,30.532892005348316,34.524329176707525,36.31530112394765,37.19899252910334,35.864211186258835,32.958511387349056,31.80909937740653,31.432668859079705,28.485658141514744,25.27101184682036,28.71594711936906,24.116571598383306,28.475012913498215,25.352803641383577,20.958812426324837,21.588340610607716,20.59748983188992,17.57453212745119,15.811343532552812,17.89328275628967,18.838369375672382,24.019216476625388,27.1580580988554,30.124680185061234,32.63817253131993,33.186326398359924,37.54158682277799,34.92849860948967,35.175323139003844,30.898602040029452,28.859012257195026,30.07354861400429,30.59754684490025,28.005520434397063,31.56459714013572,32.25365325682555,34.12166428006963,30.450677658596245,30.656329928397813,29.3981750462428,28.248777812673435,25.95716889618425,23.977517829165254,24.341362170183583,23.85690037030898,19.71386886565511,22.194962025258228,20.564919922308132,22.75297152461764,25.45157200020193,27.31946845505963,23.788642280357493,22.711986955752,27.187691236047513,26.48945881220494,21.454718318486194,25.317727425652315,30.39191076451711,26.736013419354418,26.250944423665704,30.148524700365204,30.75750304809354,27.68091422044666,29.505465846036987,26.456257477560854,31.761093231430703,26.189801992907107,27.054963324495066,31.253824151748354,33.06542291621599,37.64679274726407,37.221480230175366,37.996080871858624,35.87611633035507,37.81865583447688,35.83580580140977,37.321379582827525,35.67880114829753,30.447570441049336,32.006026703484174,32.77250662275504,28.75113765610702,26.883699441542014,28.73144160650522,26.938439500036527,23.32027412910807,22.14829859646612,22.554043018289793,26.674376769744867,29.853545129959265,31.710101676760996,34.63772401567725,38.7256711862084,36.724578450724366,32.2334002894392,35.84155847809231,38.02750298395576,33.58629262630669,32.53899341611742,36.839034949699624,36.674652706597826,33.11765572552719,36.61143555417921,39.02310448525549,36.88146983604755,35.413479364655934,38.28547703418309,35.298984600800225,36.59474331493476,34.50272854115649,35.95063461650216,35.462400664125155,30.280000494175944,31.024491336631915,31.696635109225923,29.245063152858073,25.824058828503095,29.749386477334898,28.599057994485136,23.696971579287148,23.504171792479966,27.248709657466954,25.765123541879632,22.109053986522426,19.684739519050748,21.513586853300957,19.254730630749354,23.32843981464592,20.002159226471466,21.077926040637998,21.398764831664312,18.17249034245337,16.258773427901765,14.965859344146429,13.8659310222684,17.880591685354204,16.387994404412016,18.819318218053443,17.51315248395976,22.28004710457781,25.754159411730658,28.492264256967307,31.05035228466447,28.27268444610663,29.58725506399105,33.43754427741646,33.383261918499855,31.757276577349533,34.800777291499145,38.065614442252446,39.494608199853815,39.429528100461425,38.7216491926326],[29.539546486792606,26.512188491443684,23.713389765159686,20.685201856493848,20.64532222787388,25.84683786528457,26.076019387976977,30.42474821896472,31.13492538868956,30.246022942684426,33.76366944332633,36.84625192377591,33.346912134352394,32.10826665437679,36.87610126159961,37.08030567692532,33.12500236114339,36.16714379012412,35.74938012587431,36.89187805565323,38.44779861011673,40.34056979095041,40.34357963977141,37.60065338714782,35.62847225289095,33.60656509081756,32.422816079512806,31.275856457004426,34.74086247926236,36.43173413301724,41.4319518895223,41.25557506696508,45.673300097690664,47.8316514290898,44.184142738038005,40.84117058432385,40.03946088108586,37.28837772429629,34.657232101148594,38.34078932305571,33.61857818664219,36.79733746531979,40.26851056719577,37.545692770605335,37.0294526748471,33.66719476073059,36.79951968923296,38.86651729361459,34.12906549458907,35.817080040348095,40.004445368691194,39.66016443213386,44.494220089963264,40.65941477820903,46.770898724835284,48.30207432973794,44.660890081092575,46.167362870933516,50.53864398741373,48.91313979517025,45.982316769954934,49.42004665542881,49.23706842106599,49.67943930566236,46.1012451763526,43.74851853205655,41.894790285413585,41.2636736084564,38.968521495042005,39.34049932679538,37.94174617910894,40.68132688379517,42.90219822097163,44.198375114182646,44.330147578793124,49.83936290975065,47.22311693727663,51.03706502444254,48.56493016858921,47.62118351525401,46.503762192554326,43.86163021880813,43.17006893973442,41.42361936958992,37.493809767278044,38.86297442492596,40.75186506377616,43.918125332882106,43.30493844356735,48.56320674378132,46.8399459841053,50.469938319141676,48.366214536983534,47.53206623675447,43.280145848068315,45.14038004891147,41.2135662749813,43.05534181859545,40.99961714962207,43.47625462945921,42.08588306933656,40.78159007830106,39.95821368960759,37.63402453054802,36.76937040385459,33.15061145465497,34.53256791893553,31.244185656478194,28.708477107148934,31.13414780311157,28.011914744611094,27.20173453414632,27.10425312329452,24.706875397016727,27.01510843792441,24.350190557338653,27.49146968172191,24.9752638617322,30.530760962419983,31.921984506930503,29.534016137522546,28.465231871316135,23.73085728866073,23.14779191707492,23.491875498702555,20.94236393565925,23.512087790759292,23.029641058224808,24.26686505902342,27.61533567799457,23.724306715827392,27.64230890980227,26.309812666563523,30.148900342518967,24.483566399572307,23.005522149478747,18.244130556580913,18.116807660322756,17.53198740518081,20.863263299966917,20.016769721243868,23.527953071322962,26.56165790915318,25.483348189250233,28.75908128600415,30.602474137076104,27.81629076961601,29.808300839561767,29.980038216394323,30.578312960207445,32.488313304282734,35.1851263159588,39.228694733292556,41.12578355938075,41.84362860549221,40.40324905075479,37.33491484255777,36.22259409360068,35.52314356796496,32.57985156125732,28.87495941670388,31.965058737806704,26.876961809139257,31.077393497083794,27.404443135757663,22.634025764761784,23.230591134246495,21.322824256073474,18.79943613686797,17.624328515988687,20.222209680301244,21.56600835511537,26.7420121194673,30.171245634293225,33.34202769973208,36.18387577782115,36.81483898200898,41.106459740622775,38.07915520967004,38.408354490417416,33.694949860949755,32.28541969196872,32.87590208635044,32.918564793772696,30.317752903046596,33.525567225119865,34.262314922122734,35.50737288248715,31.28034831396995,31.64332654572177,30.116485024001406,29.66353080420832,27.36549450411005,25.814616132521508,26.419182728096928,25.982071103317423,22.37650668193023,25.18086761632015,23.98281254377686,26.66219683440101,29.207160654803445,31.47637785592233,28.14647237460787,26.833403254867456,31.286937615462268,30.980214741538568,25.917480424611444,29.490703825119432,34.74973674315908,31.32369254352271,30.618274769868535,34.44007503437128,35.325482961690106,32.15690584103415,33.659909941242994,30.485673845670366,35.67031332690026,29.532526141687494,30.706992917615256,34.86616695229145,36.24718838165526,40.6957465797831,40.11482585942746,41.18894436111129,39.028890386142244,40.89743183460512,39.13187524027198,40.13875437214813,38.36402625686716,33.55109375818565,34.92562799406242,35.05814215159801,31.191153572028114,29.583452208573853,30.976398642648977,28.69930816226801,25.482678413289726,24.50710780924603,25.706752508511045,29.950505159316158,32.99605800510467,35.251300942685475,38.27768155384492,42.50794730148199,40.67810005732401,36.17484980248813,39.874813562919044,42.25938471584395,37.9672916336012,36.862136101111616,41.25729106375297,41.25434428339806,37.66621907675431,40.958781813615346,43.51374433843026,41.49894072559315,39.79902129085786,42.51395796858831,39.39909917872748,40.57278617526221,38.493060462270975,39.58327087765611,39.12095126057467,34.19070884622373,34.603154705852,34.97296959600891,32.68869245870901,29.256037805426185,32.55757247671088,31.28030528236382,26.7792144272701,26.239499112628984,29.39357581336673,27.855862043304928,24.556383949247557,22.731200536920696,23.596935142911338,21.713132782099223,26.21607204739042,23.529360030120117,25.059341270936134,25.800538434356138,22.233438793072917,20.382353745712784,18.502173785814065,17.657451130988374,21.710037399542387,20.828906288224204,23.01536089612923,22.076771285664393,27.016423950307914,30.434315775342395,33.103856719963034,35.727402783315156,33.11624154826262,34.36932727414112,38.202408171990946,38.244985840415815,36.61526104565201,39.58103980435779,42.899991986064975,44.34285215399148,44.266812178344686,43.54094390956197],[32.91026498651138,30.06355640965791,27.404523967145874,23.753816364925882,23.6084538284442,28.105578271523214,27.661443039136252,31.9607667178127,31.99189682508872,30.331569643243387,33.55977107659748,37.04586051704641,33.150992689584726,31.350085959029123,35.93536490353922,36.3165633132676,32.02021387823812,34.485353840319576,33.304235799408794,34.81438071612619,35.808736704967146,37.8096371179968,37.32452098915148,34.34677459270733,32.91186070288767,30.899329912030204,30.40394032192006,29.635232967062883,33.45224856376327,35.74761543144485,40.17081973709447,40.778522104966406,45.084315119598806,46.81027320859597,43.292064019997255,39.61289921095203,39.481293578265515,36.12900949858986,33.51736233884889,37.42043390774786,32.11982396268942,34.82602378097583,38.32560089735121,35.47416436467497,34.43686948428498,31.12918243245269,34.17365465893684,36.66269562055369,32.42821981345756,34.205187165813236,38.62089523823638,38.349100500853744,43.09582149755496,39.462898564057944,45.73176320043195,46.67715322122179,42.80291915192344,44.635157734834024,48.837686067565976,46.755526975980025,43.71070011073615,47.128411022296426,47.11260115388167,46.96815653039182,43.46113063191232,41.51223308964885,39.20339927729038,39.036256411851575,36.358576678911206,37.15570076490223,35.40311975039033,37.84220467416609,40.41062189481814,41.44132077943633,42.17508574072458,47.55227060570156,45.16677656629975,49.2637097210633,46.98016900084049,46.05130292589564,45.52447875379552,43.06973811979975,43.02743933081122,41.395114686852935,37.1947611840662,38.381232760077275,39.61504538529947,43.18641286605535,41.83929219881683,47.29429495550851,45.24470850507266,48.61174506619253,46.74808626690671,46.33732013631728,42.264489407499774,44.08400984332314,40.31784860614538,42.66883923214339,41.06437665368079,44.20942509317574,42.41717664651684,41.91073166482266,40.568429075934304,39.0430400939037,38.29101648688385,35.08817431996086,37.06519998142508,33.989411548547785,31.752618067015028,33.730869016046775,30.592436463380142,28.913295047462757,28.417859232305382,25.386040407174885,26.758858348196192,23.564563308652325,26.04711025128141,22.8973145422989,27.82517459318923,29.899826818709844,27.440939387496858,26.995900626083184,22.246107581367777,22.568369243969304,23.85752763924955,21.848895431483637,25.665116720289213,25.06718302770313,26.804428055341877,29.809557024423803,26.63245061547444,30.616707646796932,28.665106007142793,32.172510332052674,26.286531647901555,24.455434589334907,20.596593276073918,19.169786434063766,17.542849389856656,20.319178575224157,17.935551892346286,21.065184620940634,24.441287645880017,24.101712308597694,27.49995880711551,29.70226632566827,27.1870372116951,29.783496274695306,30.66472468985846,31.47176530092468,34.091137796357636,36.59092533881696,41.00019429314462,43.02940555168253,43.05154248103084,41.53710569978777,38.105984637646806,37.45619498944347,36.06776815773276,33.772760517967235,29.53150617210064,31.797565970984042,26.409877433342334,30.622279608155406,27.104467401287376,22.064114889368685,23.60474364482014,21.35318578733786,19.84797166158364,18.222561602780768,21.274485772112904,22.06472868407114,27.196150374688425,30.70306241458399,33.732001260135455,36.914649375041215,37.07556184008269,41.61538254817855,38.30508563811053,39.10069491028788,34.21395399467727,33.598999527188084,34.22174551666288,34.10715874314192,31.146827545793148,33.48423567438722,33.599931107831445,34.78921606768317,29.985210920257785,31.191766445031575,30.055008653669134,30.015522691473784,28.46075307895571,27.52816110537059,28.74250245016268,29.014775147858714,25.679267012056048,28.927275292173025,28.219261727699333,30.499910292175404,33.60481370059494,35.53579956031229,32.022084343409055,31.36142282845549,35.87500294987464,35.182855705468704,30.345358028523393,34.26451361005207,39.27738498200578,35.5451803003188,35.15018816625361,39.074844531203645,39.51328253732253,36.30078355737276,38.22932366178747,35.240285866043074,40.61811126013398,34.83822927875879,35.92121556404538,40.11132829054661,41.687296016714825,46.19844354282397,45.62605663511134,46.48762342954938,44.20528556584602,45.915208821216645,43.83348117362362,44.90124886958108,43.43976727200025,38.4845400682631,39.56579459794313,39.9083027344509,36.24803880360608,34.33733134881548,35.43453653132661,33.61534095812047,30.56449761080808,28.83191002263886,30.370965492046707,33.945256877999235,37.19896585649653,39.652499374747364,42.33959731659483,46.678735597752976,44.43678004589648,40.15125469040873,44.18046318439448,46.21385877069719,41.7498496283379,41.087563364625964,45.44626171578963,45.229357554355836,41.82666889510528,45.447892433238174,47.82628151946134,45.62960085694073,44.333123017735524,47.23869736639927,44.25165309034833,45.44543558473956,43.19882827558935,44.51949941259189,44.24765181659787,39.140406334966386,39.58161086141902,40.25252911147934,37.96868435868034,34.39664507449221,37.89052620097738,36.82688696100222,32.214909059868724,31.563034274334203,34.900863951325064,33.513976254026424,30.183302883153736,28.207355781956025,29.25053752883327,27.154596867443708,31.585695282792596,28.540778783079492,29.973881552267127,30.13995010686297,26.694194402786124,25.094736648893726,23.675998972851765,22.746327282396635,26.69101810737294,25.021017056229176,26.924173442021296,25.294630624032365,30.641472426924995,33.689646302211074,36.69338393073809,38.80547920430227,36.132247012102816,37.98482900387915,41.67734368260513,41.06829798988282,39.94301838454799,43.237148217029485,46.256957071527026,47.570034627150946,47.40770361460873,46.56049769699832],[29.719708299684083,26.588921837517855,23.20874677601104,19.92408550593757,18.510312918752337,23.441288498367125,22.6979466392292,26.783485238350913,27.380308712393425,25.798327141464725,29.2325418700968,32.35593238744319,28.30064927901765,27.178656665279288,31.669298870310396,31.670922842074145,27.49201938786568,30.27914622451712,29.697322385666162,30.698446215724196,32.228392900694345,34.07904822710711,34.150176014800756,31.49427213901533,29.39993666049092,27.390761727026984,26.176281344834468,25.17119611291856,28.77664323276775,30.718105019818875,35.72667271460056,35.727089374416074,40.15427847775812,42.036723531301334,38.33592702585197,34.85718771558241,34.23202457647376,31.189593142890953,28.533166731448322,32.34160535390612,27.463774484349162,30.542143983771357,34.05833397195298,31.41473850908632,30.994497563758443,27.77861364019416,31.100403987254918,32.955475499944974,28.23143035348392,30.328530319690245,34.440360155582056,33.861574053442716,38.62571592949593,34.68343721422781,40.84712944980405,42.28201350646594,38.54490904429798,40.007891482953234,44.37968132124917,42.77689905898844,39.741475712567265,43.14858988758061,42.987560492733934,43.43447076989912,39.8421512991509,37.48659214766955,35.733861157642814,35.18000943088125,33.062072728424944,33.64986362735459,32.3515039919614,35.25478659765518,37.24582024961001,38.29400373831679,38.38580012219583,43.79547642692366,41.053389571642086,44.91295343028349,42.405052453785636,41.4214214691994,40.44919849052909,37.87053634878906,37.4359295501542,35.76844854360171,31.706759395822246,32.9681822796393,34.64160969170529,37.97187523405496,37.17904006852958,42.55383027865004,40.85523398387394,44.534839144302985,42.59602780964083,41.93113583707436,37.83877787210983,39.91528207172787,36.17387924280201,37.8941401904801,36.10268341719938,38.97982032571702,37.00633074007175,36.15181785411616,34.79420422991641,33.01178998648562,32.11014658735696,28.89176684732426,30.845263663204626,27.79251064658176,25.65106348404512,27.62418131842952,24.663161308826957,22.907799036751513,22.827345378094986,19.787647548767378,21.779106757564477,18.789892111243148,21.64093226547628,18.975506046898982,24.536916355136857,26.07839126668686,23.93714795165371,23.12220475996818,18.454684839107305,18.15269191466072,19.112870230756283,16.311967403821257,20.09264086867383,19.051637348401187,20.665112243309284,23.567583861320244,20.512805180238335,24.574899542967483,22.6751236379716,26.025266310908176,20.147991081267392,18.252338363903412,14.40095976624618,13.041745562675896,11.902923348007551,14.908651953846377,13.793445823647863,17.31324051604541,20.301058943522857,19.303499959147207,22.588948261388513,24.610601340360095,21.96345199890189,24.344327021624704,24.92323726944301,25.978224813837688,28.386999394250033,31.270640908633393,35.42986301593479,37.780666133121564,37.9028572843295,36.093269087082646,32.716942685675185,31.72213830015222,30.460611333213134,27.784310725255143,23.587397142901565,26.217521935039166,20.944298326372127,25.18479829054386,21.72545384503326,16.871128165283235,18.2024358698972,16.63822027783279,14.596048310914416,12.537021960795718,15.361804718057764,16.127917938276948,21.336632387467247,24.788152786806812,27.864314372019447,30.934591848106507,31.341501265899197,35.737440389198326,32.5243804677348,33.14619974204107,28.374756432324546,27.452234232843242,28.234919079888183,28.357197033953348,25.4116306708748,28.13947245194207,28.457575971781665,30.007854342402425,25.747458550700443,26.56106940048335,25.538057655230357,24.882684627652477,23.24660169911912,22.00942687763631,23.153449045422047,23.57404739347599,20.01954229261025,23.302183685864208,22.75789416596776,24.70210410504774,28.17088560303966,29.879104095030694,26.35560888027585,26.196363662296516,30.722996372563152,29.951013241462174,25.61218916686065,29.659013199900865,34.3819047726565,30.919960240109717,30.945877431410462,34.84878250709732,35.10755727574907,32.382303197328554,34.63594031335073,31.700938109208973,36.94457193450541,31.67790364112919,32.103915819461456,36.23924116087578,37.844759225128456,42.63401154298011,41.84943743693334,42.137520395038884,39.628644475378756,41.12394770497341,38.65590937210598,39.95667574342052,38.889223749561616,33.633170886928546,34.49064275080682,35.369944539108175,31.845160293280536,29.49783887176508,30.61887469764214,29.540143558484345,26.39908942496597,23.87913277412641,25.30624991583252,28.31592543866903,31.725238045783357,34.19026993390337,36.61770133806637,40.99188729715798,38.52306419256192,34.3703003173388,38.62770634480508,40.455885926128,35.97439609980744,35.62930026597226,40.02941354253897,39.81983137073843,36.629459215251885,40.39412771738779,42.775671076104125,40.78182813441134,39.69071801629795,42.59863765323027,39.65826783425622,40.61394194921293,38.08204536747519,39.585753128768644,39.70660740801188,34.46368640553455,34.74112773907164,35.914898865484986,33.76419779977627,29.869252960633585,33.70527576936172,33.21876861359911,28.397138808396246,27.45593478240524,31.384758743097183,30.521257258835107,27.055077798859624,24.99360765989913,27.00756057046788,25.104734830784786,29.099547250732282,25.70410323727666,26.27134463228936,26.28983454062681,23.584211434074827,21.542142134313835,20.531665284230463,18.828374677827753,22.216009536998122,19.83826056051644,21.26893078841771,19.509925213542985,25.270655663329023,27.971879995135552,31.033562847716748,33.011363742193375,30.68095808960207,32.74828659080287,36.22780201376861,35.639133391879305,35.00930704202692,38.177633772943636,41.106013811878555,42.503684741582845,42.28902364125641,41.47226761660866],[30.95790388151302,27.670424159926874,24.049185659428492,21.328448006200713,19.600032431676382,25.161600534925306,24.653509110718176,28.6255336952295,29.725132546252855,28.383083422670314,31.92333653148196,34.79218750797896,30.707177209735264,29.998802496902883,34.39069831367503,34.147248943569444,30.0193527073667,32.8114225582093,32.26756213657047,32.881538116826114,34.41516450073018,35.882729806341864,36.07062379363306,33.3402774609928,31.18644585321566,29.56830537063755,28.173776898292164,27.410575665966753,30.99614647008749,32.818292321955724,38.19733748482705,37.84205927931952,42.33943003037099,44.20167199785073,40.33635217438147,36.92949114811277,35.99078809768325,32.897483199978616,30.01699055731912,33.248203450512875,28.639552577834266,32.130292310862906,35.36296440942111,32.510991720319424,32.094964859407085,28.641283011430122,31.721912612588838,33.670325294482986,28.8212860642899,30.353465546735794,34.497435265617995,34.231083937492635,39.1032467473282,35.39443988746782,41.4788907130269,43.03644193495042,39.536799568408426,41.19006875524117,45.49393647733993,43.84995355252882,41.192908544017754,44.856766753923296,44.890270302949084,45.4411255168659,41.68666943243673,39.39686497547995,38.09141508251114,37.61627659878082,35.82015700940251,36.51757610056023,35.369507093652544,38.3916922959299,40.1863044987149,41.04421809939336,40.97586682269517,46.261540632997864,43.221745768032854,47.01203859767944,44.26688300696641,43.00313765382368,41.86464971896211,38.93636167896798,38.45758668443092,36.43266904555889,32.46718347884216,34.17979521789428,36.125539995593755,39.514204014339825,39.087342727595924,44.54533685380322,43.13411761752928,46.99524145072553,45.142394318194846,44.4265944100941,40.3940391275604,42.63157725172334,38.938630023481586,40.27374504915384,38.361861441538316,40.95487788533022,38.85856484647539,37.577615149558746,36.17734177637012,33.98612783660792,32.52124206479363,29.35737003225928,30.811031439616343,27.434905688968886,25.498169751368,27.97821411101116,25.348614227229618,23.956345524318213,24.497082755407398,21.624845414350013,24.16882580648085,21.328656197255725,24.211936298524304,21.659482367405598,27.248703140903853,28.827681842819366,26.92731769255556,26.082198232332626,21.521233962926797,20.967364883364766,21.62445273729915,18.242397109552076,21.427677783766665,19.973416019518332,20.965772134647896,23.607297199713592,19.900374768884685,23.61006707725148,21.671566105435613,25.54175975554627,19.76849946276884,18.638622695196787,14.174832582118071,14.050232940060829,13.855732668462073,16.711853779523693,16.110094433259192,19.124874272499845,22.323594726314763,21.230776619057444,24.209633594344734,26.47919538601609,23.90966808842466,26.22860245111986,26.489959428488334,27.8051332612083,29.807824062718574,33.048123860418926,36.868783683264375,39.366926632917306,39.818006863068405,37.8356466708455,34.59784423520645,33.190860534118045,32.143298040651885,28.899395691219635,24.687828388540705,27.612066565702666,22.252496571631337,26.16103454234072,22.104902987175727,17.321360863830837,17.728218149351882,15.709217402935973,13.323771053314543,12.276317482293134,15.053415147748208,16.688310882292793,21.7263633283672,25.31572131920489,28.663998865953864,31.74299437288353,32.662403742115096,36.6898535331881,33.31294604030553,33.621559044612916,28.62519345939184,27.709502236136267,27.85503738837803,27.666081619199364,25.015226619644192,28.072891496553208,28.94971286103642,29.961758355755983,25.78232794747833,26.02154445570467,24.508087677760543,24.094352536607918,21.93735608229618,20.628979338972076,21.570842986255734,21.645595530213637,18.382450548419225,21.708528337305,21.359903482049962,23.888109615318637,27.034178816427524,29.24405140578934,26.024465861006856,25.459078394527904,29.958382772404438,29.760126123292437,25.474124510630908,29.129068307141722,34.051313994341825,31.115223990660756,30.957845127965154,34.73725405430439,35.43219183534432,32.879435687765614,34.75967137535106,31.6197817668869,36.59212645858051,30.868903513366426,31.26759976604698,35.334585797350265,36.44686001162083,41.239657613840606,40.180447042122026,40.55420161426167,37.94285526561077,39.33864200694989,37.04982023468399,37.96773141383164,36.81140836124922,31.868813365255715,32.59235212590207,33.02137916887544,29.609511348333378,27.434979329369355,28.28828991659955,26.90230596466385,24.01150971341812,21.65377162427102,23.601728111062883,26.856095198926653,30.088664724021434,32.8443608413858,35.446140238670665,39.92213592866634,37.75848584137295,33.52062040547597,37.79170023863079,39.930515125631345,35.69013692219101,35.168677640324155,39.71664591362339,39.79903818132884,36.56249202260152,40.01728948856567,42.65093993211662,40.985041322913375,39.53251123503014,42.18890048700074,39.066018766707394,39.77031923091586,37.189574060332006,38.31123932906276,38.560477793056876,33.56912279812634,33.42364659735821,34.41452466041559,32.489394548679684,28.46751640103413,31.804964087609317,31.414059834426663,26.895985910922946,25.521240943439224,29.14547675465196,28.472414020857787,25.275919680394146,23.779149167046167,25.42985641222903,24.088165207967723,28.226452589596395,25.38219677470003,25.936443109302026,26.60177920513971,23.882306732259057,21.49136235273869,19.925267966910248,18.0323369120545,21.253908788672778,19.567567915803593,20.749009858748934,19.79437135251324,25.613563636105514,28.354944149755234,31.152103354854884,33.46609178824009,31.506430239083265,33.22113002623837,36.67468254537485,36.609886321577115,35.88610416824133,38.71639172789721,41.84120805986125,43.37286928683276,43.17694914393546,42.43716330206405],[34.673567918036355,31.460793803113948,27.968610766387894,25.045500660018533,23.42608498664149,28.762506297358463,28.004864853683404,31.939268625739523,32.75850291544856,31.007651741045983,34.39426778586911,37.46170894933632,33.09002555338147,32.12378970639012,36.357620453241545,36.14217269505946,31.759030300358855,34.088007691419364,32.903055432838926,33.598422468177986,34.62903378543141,35.92574210692522,35.73858241686368,32.70681209033058,31.012940403147272,29.6834708840524,28.794594200086298,28.526820308107244,32.420923804509414,34.68498329356521,39.80422038602169,39.889194579963494,44.33930137018156,45.84612490670748,41.9869664363049,38.334461152180374,37.771410087430716,34.12353622131766,31.103281835573743,34.12909731606909,29.162439316293522,32.52436704578709,35.582865890332776,32.42857288054881,31.493636561494743,27.8658535259358,30.660899151058583,33.13903977892343,28.671809206224296,29.799134132041097,34.22209145496208,34.30470247900543,39.19033518325506,35.86376019961602,42.0402006198022,43.14194429748305,39.60383003968374,41.718379123779485,45.82028335636179,43.704740116630155,41.23297130464382,45.08419125131051,45.41220832813681,45.500347484414306,41.68091082380974,39.806713219159775,38.392149214845475,38.38206748224314,36.44281671880045,37.56837115597569,36.198211728917876,39.03739999982996,41.02948586263389,41.55160819278042,41.909392511808015,47.01882207958564,43.98255189981925,47.9836722821969,45.24220977048399,43.79570184570397,43.067094781683345,40.05699829488374,40.12072951738454,37.9485451060882,33.81445634853217,35.67717221120287,37.227469240708615,41.01548716807931,40.18801720722179,45.878935358932154,44.3646531412898,48.11872724304564,46.51189417742351,46.11114641238741,42.242798059753156,44.52540444087984,40.96462500066013,42.51984950472521,40.88218955871574,43.82339511510922,41.39175363744562,40.48290073787946,38.681395970376435,36.87384395638932,35.17997943140492,32.377679634179465,33.961655875598204,30.576327192122523,28.969004933010314,31.39583908577802,28.911646123944866,27.132479254056765,27.64117541242491,24.4070078017283,26.486044585773826,23.288894092082582,25.667528692294724,22.610806290563367,27.711242938283238,29.918553391514553,28.07462932627129,27.711900645656886,23.150443779250903,23.179711291296826,24.39061386981559,21.2110014268041,24.965496892783147,23.337594481201123,24.387000563725643,26.631573155756765,23.123311955532774,26.58488784184403,24.179742798364735,28.080543549140405,22.291226711295874,21.3516100489227,17.364171415195212,16.816377478126977,16.169984275327444,18.489527253882688,16.75204285113633,19.095496745688965,22.821355238798237,22.347849933083726,25.258919289540117,28.017417750359872,25.717837500999895,28.50313423469922,29.15705860925227,30.72708811415119,33.038868065111274,36.272713026823425,40.197722251792975,42.81165011192784,42.96452420648272,40.87898316788799,37.455772291432204,36.19385135077697,34.754966669477945,31.71818331357755,27.099639468710905,29.500463436695387,23.82367467485233,27.523073399326123,23.18954869951874,18.19722744559698,18.861107728612716,16.08069392896961,14.615467335474897,13.928152329230958,17.055108110345728,18.703431225513288,23.541487275295154,27.269625196105412,30.657535528478007,34.017900081502354,34.859754110395684,38.859291062498656,35.14452085775195,35.63995867928734,30.357354167250556,30.136949530178693,29.86692584842752,29.29601140845319,26.5730053711102,29.037873534752745,29.755933263701348,30.26667105265167,25.555428190673158,26.16470701225826,24.604557772841968,24.86115712397163,23.017583060136925,22.28482603477571,23.590108213016435,23.963002014057828,21.246689264440345,24.81223925546493,24.872476627922545,27.490063488448907,30.68835863004496,32.986863232682076,29.845907705666356,29.356934372835234,33.83539807622229,33.72585202169649,29.495574093076357,33.10639941918379,38.040158057835306,35.13925757618142,34.964568591475086,38.741847733197105,39.44781831511653,36.84038239808879,38.69326828635787,35.533915359711216,40.50886796447215,34.60638261258302,35.11987039910687,39.172451663330484,40.10688511451861,44.85097880859709,43.69074194507544,44.13039019946143,41.451277609725146,42.72716154547918,40.45545262857131,41.10635393408946,40.01210310754436,35.295798689356545,35.793524705424616,35.93228447501219,32.732861437959706,30.618230232359792,31.08305699903473,29.624344408012636,27.075110226528523,24.60163997805032,27.066205308732425,30.10713771619526,33.28767098146863,36.3182412697683,38.8329187756531,43.40157930593156,41.21043411471148,37.07475173763044,41.48772495315548,43.612141274160294,39.42682888501984,39.02507203948923,43.60265710266655,43.7135443591982,40.53160674829467,43.97311245339974,46.63260525588525,44.99691749125743,43.54523516518709,46.16991708403207,43.017563909440064,43.644692979820924,41.01172672046988,42.00327164629951,42.34944275517926,37.45194128600087,37.12678934012424,38.059176026600205,36.239589465786835,32.18028160025864,35.22381630373407,34.85928704263256,30.53740595299521,28.956693034900248,32.298736472952704,31.67586453082851,28.67447320343339,27.42454745684847,28.670430590785795,27.448644897631574,31.769174177662546,29.107490159816784,29.85353305076601,30.554188675585294,27.682212967829088,25.384165214729073,23.680947646261256,21.92073623326055,25.156393805684033,23.55845134610737,24.56273034691728,23.59260742674761,29.54881375442096,32.142705424463706,34.988004100738905,37.17040068548263,35.30338194915711,37.16046569629801,40.54938274436499,40.34801652339513,39.79060582020322,42.6683405835524,45.729486149447034,47.23516500104329,47.00466192251008,46.22238039574021],[33.99682833664917,30.83643180622332,27.214928557990287,24.027474474582778,21.891748994567873,26.70379673134422,25.35531328834105,29.094686485604566,29.64856363499281,27.443612002130035,30.68137887530634,33.82345846998975,29.19368959832624,28.160358500771917,32.205105181189396,31.961383838248306,27.46499067428686,29.60591907918357,28.307532622349058,29.059591230221656,30.079346214539367,31.515820461226753,31.338733064421117,28.399692943989137,26.62479197105389,25.137837865601472,24.30051489231537,24.047441812363605,28.021377507074895,30.474913854726804,35.41974815285395,35.745509195108795,40.14588584184382,41.50077111889084,37.69347315240943,33.94924797574648,33.62021594817199,29.832398047993685,26.896076741959813,30.25086196420672,25.06662686210279,28.193787497173485,31.41581072715457,28.40928665457586,27.555744368171236,24.121610828728425,27.198554182140743,29.468403166071603,25.026926144953027,26.72997380538824,31.082842806925004,30.838175187263793,35.63868015943517,32.10622343127538,38.35598679904022,39.37002033656907,35.655951619233875,37.63364222305618,41.78391153754073,39.73054054639839,37.00245412841636,40.71424348687955,40.95357039624494,41.025119823290886,37.26790473625203,35.340935670801606,33.807937788328296,33.80075970367916,31.856390545001997,33.06206000636542,31.70998229873872,34.59370542082139,36.50360941693567,36.956589825072,37.337781858248604,42.432921970503166,39.44815403117471,43.491131123983926,40.833595787671946,39.49454881593136,38.91049095046328,36.101460859156916,36.322357426747324,34.36871388884602,30.124395611566616,31.714764554438858,33.0180319644754,36.86315652908177,35.78363240357564,41.489754123295604,39.8776916753563,43.58062623154377,42.0319451851598,41.74334090600285,37.963525839175496,40.294784670285665,36.84866179350785,38.46585929948794,37.03974988906406,40.29163340935539,37.60106159860686,37.129204513940074,35.05615468347585,33.74675237326502,32.293102741726955,29.72224523583405,31.82973323338621,28.761006142552983,27.29770198936286,29.22146821568597,26.732956017583657,24.308567010101616,24.587048497318598,20.979381480128815,22.59761674740333,19.196739416962355,21.28569736088793,18.097594919109227,23.12201278318523,25.41493562431921,23.670892958100154,23.50720808686681,19.063248150446643,19.396250401678486,21.07379064164737,18.058360481305137,22.60260422393111,20.84827934860117,22.316391943085282,24.36004714379515,21.675846774294016,25.321508007788857,22.65861444720923,25.97994878234676,20.09689569816128,18.613778488837173,15.572122005956155,13.829920812349824,12.519744614107307,14.45123056092569,12.212839280708472,14.639093128207126,18.307326507302687,17.971226942629357,20.980824805267424,23.76760668566255,21.568631992905033,24.607140402828282,25.631881351381022,27.356858011972214,30.07545902664808,33.22739743778012,37.30228498730996,40.07566176125699,39.771567479842865,37.571112603688775,33.956084720275165,32.93949863998142,31.10456313126376,28.489252345650716,23.63391930327213,25.588397610797863,19.861304718991615,23.690152060992933,19.760986434941355,14.67713731082433,16.283073349176338,13.983192203872422,13.050596477595995,11.315383121436843,14.578088542411686,15.461421697310897,20.30879360338764,23.963687017146153,27.1515989649373,30.62251543771864,31.107245695318397,35.3019162086802,31.57176370846937,32.37815267464081,27.192853639778722,27.261895751658408,27.405995011442993,27.050174882879162,23.98906367680573,26.000595886618946,26.191487751576798,27.175278891880417,22.41183287250353,23.59454255121427,22.627032941157577,22.584247883319964,21.426855539865862,20.903505029320044,22.60063897553739,23.620929003795013,20.797145563023786,24.523879303355553,24.804684406826354,26.7213856684982,30.503391533264917,32.24563071219406,28.9046346159014,29.187383702280336,33.66515938598294,33.05440280791653,29.212654334716504,33.19019570072735,37.721465052114965,34.59214362227848,34.86095480238181,38.702664772141944,38.895526784080815,36.45842431524258,38.830683979441915,35.902227138770805,41.00150170446259,35.776261521189895,35.935530524353645,39.98987990517008,41.29171696051352,46.19155659215455,45.08643522183905,45.08331076076247,42.299778256104624,43.444734406962176,40.73130331213329,41.75537972245146,41.06776903474618,35.96712038582886,36.289921034044966,37.07952392701036,33.98672159168514,31.420268247159584,31.927122885773784,31.262500462962564,28.590021604599436,25.304905127438158,27.53697720023181,29.80321174400251,33.23593895091527,36.18279525857411,38.285626441953205,42.843418565397776,40.18013714410527,36.29696081786164,40.95203068661617,42.62280664945336,38.25241661804593,38.326307285337364,42.8010561717567,42.667067631905624,39.73326978070906,43.53557394895824,45.97040310896611,44.20376247801601,43.236160617227625,46.06338826853783,43.10480605457625,43.74595429780576,40.927161197254016,42.32162736169127,42.88685631441232,37.73082123049436,37.5625424953993,38.98545307984382,37.1175162812029,32.92698777511547,36.49469918066717,36.461428562682656,31.83205583898822,30.31643176827476,34.204274400372164,33.790828605427386,30.555270213554376,28.88942843147573,30.877532527392244,29.34804391256196,33.34164272066538,30.091079251938496,30.380985735268446,30.447997767207866,28.026800980693785,25.815732059619272,24.77229157298927,22.7378633703318,25.69803878865611,23.109414946804467,23.82215517734573,22.123347143967255,28.345167150399732,30.5079442818964,33.63304843134241,35.30530632477991,33.45278147170792,35.85698985287998,39.03990274807402,38.28658307336373,38.29648295501995,41.39479106308889,44.14414009052953,45.55712853037738,45.24868245831233,44.392486123300415],[32.265293493518364,28.873610688014296,24.72190973082136,22.31535041334629,19.231212368246325,24.75080595230946,23.547643623400973,27.025319762300782,28.42372853951279,26.688236102083433,30.153874016197502,32.76238009402222,28.214850677770897,28.035473846806646,31.979932576265544,31.318500637278024,27.120109769244674,29.653925901695118,29.07303492945155,29.15653176054665,30.72182806599426,31.803245443459623,32.230564747177596,29.608270649869205,27.212282432248877,25.958766854683137,24.300271075553237,23.871724879492326,27.48061998878241,29.37362096493693,35.04772630965885,34.511573482812835,39.03469514890247,40.62776638124727,36.598246675382725,33.17941481681566,32.10620114828569,28.757647016422606,25.68646589377423,28.511938044726058,24.068564719704142,27.835491985071236,30.854983897477624,27.963568255923686,27.75395592712346,24.298831986025593,27.393362693044637,29.082620150764953,24.08369776941838,25.61453175030939,29.642998761945368,29.33854284248701,34.22246788532165,30.5554814591228,36.598140981591705,38.2267305341688,34.851479085848105,36.55255409721469,40.81336900724728,39.233644504238654,36.78168402856041,40.593530263496945,40.77494555176464,41.48620970555498,37.60983444882488,35.32760288363705,34.5579196770382,34.17005928895848,32.88893206564905,33.82898157806669,32.963448481518085,36.22256202104748,37.56919807806732,38.052601761173975,37.74470429376014,42.802174741840886,39.396335116628116,43.117733318659866,40.146498291455,38.628482846626056,37.443489648581696,34.2966327548413,33.983961317937855,31.751609554596435,27.769782662509574,29.751939836923896,31.75471082510956,35.29441289894502,35.062401324068226,40.64135636868275,39.52966689838522,43.58025740236143,41.94743095637531,41.32254769911047,37.524794489103435,40.07941477511153,36.644643841681265,37.488511972249675,35.73366377012194,38.41195082587104,35.691649916602515,34.4824881129742,32.55130509733017,30.55967843205648,28.599951091500337,25.932208110561664,27.53092635144186,24.194858154998485,22.889836549827507,25.259952745114035,23.1515372555085,21.146721365867634,22.25675245532253,18.99950457586011,21.66773098887855,18.78148780059381,21.32066781035585,18.886156809353274,24.385930789421586,26.026481155740363,24.65424032145834,24.008084029671394,19.81882557260188,19.283558500498444,20.203103263310275,16.20664230213844,19.89235746068647,17.554685517394066,18.333513730811806,20.154146963856896,16.924627801511313,20.3713911332714,17.812691887240042,21.512978769046857,15.69371631360482,14.85940306910567,11.153211575570905,10.824496626214293,11.089539786901131,13.171636676094774,13.03925528976036,15.440361282141614,18.608022593598452,17.44645862529607,20.047356001813636,22.66402028651174,20.357477379886976,22.936822353151946,23.29646452946891,25.27824198282925,27.360050605564034,31.01682504740052,34.58829868088813,37.589188232530326,37.75773959621367,35.31071055107908,31.953191643519695,30.32221441689159,28.935363046400855,25.50332565353787,20.85529669767209,23.543913921060113,18.012248515637136,21.59510272910109,17.248934527645602,12.520253859449284,12.81149348429964,10.915236501351062,8.717503064318986,7.5476253581033586,10.505175090689217,12.328440023241633,17.138269347297317,20.83793615530342,24.301337854343263,27.581138001012874,28.724231088348937,32.49660603913276,28.832721584516094,29.155136045935727,23.94838391013694,23.533051651845998,23.34603772165105,23.00628473662179,20.245995414405773,23.120305884368555,24.069270908912575,24.995755810122212,20.953581183860166,21.105331555635175,19.74416867159188,19.203414587016212,17.334950562263657,16.29736418270137,17.671914601427066,18.446912453180083,15.589136747122852,19.33565173763276,19.842628736404983,21.943962008983036,25.67149101777661,27.630800388104266,24.547360770083237,24.823910064426066,29.224991144237386,29.003613475614983,25.56916526222102,29.257726020224133,33.7011892542031,31.173476761642885,31.54449269652392,35.222113167838,35.647018366766815,33.66125397281519,35.898377452170145,32.897306712366955,37.64117773470704,32.49680351571964,32.22673843584705,36.13846639470605,37.11988710067412,42.13599010849887,40.74828701565428,40.46199123054943,37.50778120775664,38.47252239051199,35.67542262594932,36.61379603224649,36.08739636778717,31.02600843322316,31.15362885082133,32.01104858800735,29.074047240120834,26.363555300008365,26.76030077845371,26.397840862213435,23.831730377611503,20.15986443466896,22.597476167103892,24.66729044438446,28.059929903859906,31.161611423476604,33.254117251983025,37.87417644362139,35.33984577589965,31.45100951061896,36.19328310619103,37.99190079765036,33.812703251452895,33.896852790450176,38.47594840600589,38.57423896478685,35.73028242520988,39.34247451045837,41.95409450617576,40.564234715190715,39.43293439806897,42.05036458393935,39.010949395344426,39.336997037649844,36.34979883280173,37.58099252186518,38.44507333968359,33.43198995746354,32.88656765057991,34.47681993734504,32.85816804443846,28.446742591322945,31.869220933272715,32.2572450096121,27.768445418736842,25.82423874190687,29.85015906052551,29.892199687353404,26.805454815604627,25.48578531630401,27.8203979334031,26.799907677332733,30.495874359736455,27.479887209597255,27.21240009438149,27.662845755113516,25.748533622311385,23.08792733987326,21.968888669671944,19.3859092499838,21.718394992182088,19.23048738362593,19.40053068936073,18.317089347906258,24.71474669930455,26.701682761148884,29.596775959630154,31.488565356627177,30.143057111085284,32.31153150048104,35.33832861121628,35.08620587231692,35.2362609717325,37.94399266295381,40.805325590688476,42.36850918903896,42.06563886121363,41.30680764795527],[35.367120758768046,31.934646891468415,27.857672462566338,25.671023546990277,22.908238980246992,28.747064583265093,27.827891806391705,31.343116556554087,32.86495720192118,31.219539090794296,34.69368779852942,37.29372728159549,32.72977716208607,32.54777036968368,36.45833728129249,35.7531829866973,31.495826197116934,33.82485657741256,32.909962448035486,32.87690153926941,34.11627944707557,34.85399529118461,35.084141374064174,32.200375743782814,30.130388821746394,29.30579453695611,27.901947764223486,27.881965534486834,31.612139557008575,33.630319551376864,39.32785062391797,38.81312906245818,43.33330474275587,44.76828918995094,40.67170231958528,37.19536933983129,36.12696186473631,32.504534835051295,29.241614671283276,31.47795131766721,27.079146831110048,31.012202417597194,33.685635616947756,30.446600705822966,29.85433144900558,26.100300471628653,28.72603358730854,30.89962127818614,26.127980602926996,26.784127208889842,31.02012494573639,31.283750463280345,36.23310478962943,33.07052926572547,39.04936333357338,40.474911954530356,37.29799545848437,39.44494637701756,43.49712865621155,41.57470986842463,39.559357087358535,43.658180325289344,44.15618673923755,44.6294410185765,40.623533709088974,38.670311382836815,38.07910342383554,38.01470991569367,36.76913710873707,37.97171483642506,37.01288025180537,40.1795152567029,41.6155548343519,41.853535236005605,41.73691711088808,46.626570281753956,43.08646098985503,46.87432274985504,43.77460090758556,41.97202180740231,40.910817512811846,37.475771658683406,37.419503235421104,34.83808856898562,30.89546572399216,33.293386626455664,35.25790767995277,39.02136067606839,38.8156626942102,44.53816934442389,43.53481756962511,47.60402204216624,46.133222157099034,45.62759291797251,41.92047953129443,44.528897921375616,41.13905435503847,41.946154761952734,40.211559091160915,42.81778660581258,40.001367801865825,38.63374987491379,36.6002813215733,34.44056420698823,31.994377896589594,29.497337059932583,30.642488267888663,27.034661527223438,25.971916333603062,28.763384517218057,26.906917274440026,25.213005269482043,26.60186416195317,23.444544059182,26.185661892555416,23.2517335411611,25.61330860201779,22.957231488039003,28.168015758394187,30.17354301030971,28.852188910590648,28.394355579848874,24.161536296366624,23.77306050452054,24.689637202595854,20.66329759405518,23.993988739849506,21.575430200875438,21.911067441455714,23.4529647395132,19.674731546938965,22.57414543961795,19.89515162972186,24.113507212050006,18.581293600313025,18.55853992656398,14.538243099013565,15.095381514408473,15.596528451234061,17.465983147286288,16.868890738331636,18.59618156748191,22.20323706351417,21.392175638739445,23.753061630078435,26.726718575494544,24.602849992787306,27.284112999016543,27.57967941611505,29.680934630478866,31.5636877679611,35.34617431278612,38.75220394451547,41.778251561649114,42.12932501278223,39.63477112073181,36.343384530345396,34.53549300508127,33.2166556607897,29.523955793903422,24.834083798573467,27.477829262842018,21.84812943101608,25.005485582726493,20.10201279189495,15.471589399230826,14.975498397685133,11.989864875923296,10.184060593872461,10.684213048727647,13.523152787049256,16.041962462918573,20.415555744363665,24.19986699500124,27.83792041151098,31.190779507797334,32.66777896407642,36.119201842079086,32.21863088003912,32.352657416641065,26.885791816841472,26.79390332526021,25.79550396576513,24.91377975366609,22.50634615001672,25.31145024478329,26.68779554704492,26.7315996293054,22.446200205411238,22.241728343920556,20.26052791256108,20.531607218509524,18.241135528667897,17.50503965147412,18.763942527156942,19.159421948635963,17.003572504563813,20.75151181322351,21.49544543502188,24.305420960076653,27.52081978915525,30.058675917529648,27.312674626397783,27.010948977173175,31.34394284472271,31.708374391671875,28.137374296346263,31.404437131353614,36.13177619812615,33.98628819991067,34.02895760793592,37.6039898841227,38.49008167027593,36.458847693943135,38.247581710426694,35.03667136356102,39.58379024004193,33.80297089261675,33.76180818544875,37.616245555510815,38.060616247068154,42.96169965375302,41.342892017941914,41.34917547551784,38.36107756363889,39.25515601354401,36.79741167648285,37.166153355754105,36.436687649540744,31.905672383226,31.901408227987556,31.989289131266013,29.219543317260833,26.886454186947812,26.844317397435578,25.86906197756054,23.753614757822742,20.540005814362434,23.713277263436876,26.170397562321757,29.25901261285064,32.7076783735903,35.03362863974405,39.73469686438093,37.602404318258635,33.63734871180841,38.30696987103223,40.471235911060504,36.57037607057706,36.391267063642125,41.07999479874851,41.45719045563497,38.510324458437736,41.763603848122806,44.61140075704645,43.46074162058377,41.92204877650446,44.290396125531906,41.060703820145555,41.21009419820612,38.2776766741918,39.02526617168957,39.90175499653022,35.225140055545005,34.28216662589399,35.488893000851995,34.08237064504991,29.67551357890943,32.37146961802486,32.67121572809209,28.631856033902093,26.308987993546406,29.708561232765387,29.801828104779453,27.102529179966805,26.42545214252158,27.98640701121669,27.4672090641672,31.473468002165202,29.108987117132237,29.181599930503015,30.252490384354406,28.006890265489965,25.226311426332913,23.45527387135351,21.035066264939108,23.442044555189206,21.907087103390793,22.053555693486356,21.73372551473273,27.962697868932334,30.103791949975896,32.731645318261315,34.95514762673848,33.80493637549656,35.59842656672337,38.673160289889964,38.85318631533736,38.75156337740967,41.21957790075341,44.2780888802515,45.92968601518753,45.65267081274315,44.94908409542957],[32.8983751120065,29.451884456047416,25.4897639774163,23.525232977833458,21.18113059260251,27.285413716940084,26.88789286429918,30.576937542955214,32.27751661736195,31.134072095098787,34.7498402246731,37.26291398024049,33.098977860050226,32.95130529456344,37.128199743531624,36.53785263774705,32.50253105186488,35.25334905688897,34.79246366976947,34.874630381707135,36.44013012546533,37.4051169073224,37.7983910921486,35.061446968748676,32.78655308232916,31.66288861741789,30.00615558955616,29.541087759986628,33.04125327714212,34.698183600654275,40.51116354900873,39.702351936443975,44.25309676990726,46.0478986565495,41.99039032088402,38.70684319796496,37.375193412758115,34.249463003078944,31.133152914266724,33.5865856999361,29.43018899219206,33.38918746986778,36.2279401406197,33.1933646597282,32.8708386584118,29.220553851817364,31.98891257375501,33.91747181805551,28.947522918451018,29.80199024924856,33.86531029203195,33.948822862842725,38.88297651766455,35.48099003829253,41.38091733366815,43.11893718572427,39.963656932794834,41.79483674298687,45.98780055178752,44.36038986902349,42.195845607264474,46.138564938196566,46.401593366994994,47.13631513757784,43.20543519198928,40.97859081852256,40.297073213743786,39.894589985090825,38.57183298382831,39.400499712631344,38.48964728158434,41.68864779670163,43.16036064804432,43.75501450170819,43.432517256628095,48.51947958044936,45.0873308038531,48.74649691467358,45.70289914012249,44.090185010073604,42.73052256752738,39.3860051887986,38.85650008953532,36.403125352302325,32.61997518098379,34.875200838129764,37.14666781560164,40.567469781433964,40.627201763170866,46.14546042848552,45.135795040088915,49.225702425248286,47.5068991019876,46.73623045340723,42.82924106892255,45.2963863483804,41.719099927915686,42.5102936043965,40.495635260068084,42.75456602746281,40.42175007246165,38.66334505634313,37.140884251946844,34.524506440069096,32.32613049552135,29.365068724036487,30.210986370571717,26.507774342260287,24.990355815688634,28.007860699530273,25.930445373401895,24.876390287896143,26.203186714324268,23.512604805757793,26.62424046733779,23.99084452145548,26.82884873495738,24.48163555989101,30.045201608428194,31.61439065063605,30.072659123204666,29.211724283245157,24.863758425486836,24.04821200066879,24.428200336151228,20.418892747522868,22.975050758356712,20.93999755144564,21.139324301133247,23.233421150934422,18.924697772717305,22.002758282413065,19.970351734340905,24.36935509545887,18.921215383795168,18.825643637932444,14.016130580700665,15.291389122374293,16.132940204479464,18.621691773154417,18.688044568323665,21.058444618640305,24.335790416720457,23.115087404391616,25.629931922094016,28.148924366600102,25.744190394886946,27.97193532299695,27.880147051655214,29.5763604773792,31.10279883004896,34.787561678074546,38.13087394062199,40.88360188377721,41.649427684108346,39.393105033947144,36.32384183828784,34.417056087232965,33.57366017427756,29.690058446546114,25.489673946089997,28.667612178890522,23.335667057156964,26.717197923354874,22.058487061598715,17.605969309060114,16.815317764528395,14.408293918508267,11.695828473637887,12.08895848016463,14.533622564712571,17.1269041200275,21.697442430531467,25.34584876362263,28.954120382402067,32.00779315304549,33.55548175024109,37.05294695126032,33.49476509480359,33.415179081013804,28.218333812905488,27.38318625519758,26.695880852922276,26.107721715916092,23.88912655173698,27.290363007322433,28.85412943527307,29.211636827882078,25.30373489051952,24.76923128553043,22.687556256861,22.5281202908841,19.763104376939065,18.409151579386798,19.091154607548617,18.791655176826428,16.11774702286875,19.47990468780123,19.60026431354803,22.729868093209557,25.521407433706273,28.270948296770104,25.52487401067034,24.66595847872104,29.021221821894677,29.528457185632483,25.601850662668202,28.716777730853554,33.68764871223231,31.52747132755679,31.29215307643693,34.846163864539044,35.98142297212965,33.80977270032903,35.32491880706655,32.023216879418555,36.54352385840612,30.503861150540907,30.669568166278935,34.55635975404852,35.004313665372514,39.823599520352765,38.33507798812625,38.633008592061714,35.8201732529957,36.966148118846895,34.79932962426493,35.2228282335717,34.116679111595296,29.595220660119196,29.98750381720437,29.924340409846415,26.814953740774925,24.758727899129493,25.125579067242644,23.592092077586468,21.172505622776274,18.735800101587216,21.493845494506097,24.73367660901527,27.718956220617848,30.89793313142868,33.578272217151806,38.17134456536745,36.3294249157203,32.110436268774016,36.45737509389713,38.88291212114199,34.998198557889125,34.40657443807296,39.09455801228219,39.534810090262425,36.369837285192915,39.45148737455377,42.363094643865935,41.173841892580405,39.38182143087097,41.69979477922241,38.403112888963975,38.693352740703155,35.97392101840619,36.632624230454915,37.20014741871358,32.57030538388797,31.788802617600126,32.69380747600124,31.16103431948733,26.927009246651284,29.59568342819442,29.554095055751795,25.503728597788864,23.41702313240968,26.69875087840137,26.505122708083004,23.747951221783335,23.06973256534666,24.436757724666112,23.939953856134636,28.02208059509092,25.85125721744375,26.137096093062397,27.493592975625212,25.042584799160675,22.235076291154957,20.19170107860161,17.936262860822794,20.575972352320232,19.605107977841808,20.1936267599645,20.22160905070037,26.067494078579006,28.629909223732724,31.085398968030837,33.67721071143569,32.31382444773216,33.695867846370334,36.97872889234951,37.489735116921175,36.86559653935013,39.24210007820613,42.50678806804402,44.1927016644333,43.99510567867416,43.35215926679248],[38.10573178266496,34.78432566846041,31.12730432977596,28.742691308482,26.875588433312704,32.686452115069066,32.098461738806684,35.888503278222856,37.136551537797054,35.53058484488464,38.982610828981564,41.83217104420933,37.373221263925885,36.76630000548667,40.852935332622515,40.38877289427183,36.02015522123477,38.226405351261825,36.93446230662728,37.21951800618069,38.105313615794806,38.89285208703774,38.73552775137057,35.578069651675165,33.981629661705526,33.19923257098689,32.25892901171373,32.37534777044062,36.27856309105765,38.50832385069498,43.92639224134057,43.74208945804484,48.23486609605782,49.608187610849704,45.58715533102354,41.97225261055839,41.17150031279958,37.34965663110593,34.085579499366396,36.327097625948824,31.6687298048255,35.399148494003605,38.01797734089297,34.57627395029041,33.497750895803186,29.61651920173315,31.923498428282848,34.64575023293125,30.268968072463096,30.49009157803607,34.95041881712185,35.56111672103135,40.49776070215187,37.655895937657085,43.67085644321552,44.750062817765,41.54475043905927,44.018471584207155,47.922595195680536,45.62178832926173,43.707237955487514,47.886501057891635,48.53668923939605,48.60599842760368,44.60895573110436,42.9595474515523,42.04385657856014,42.25027521063375,40.644506819538364,41.98855181852586,40.73238592688328,43.64189702994611,45.459995216191395,45.67942587401746,45.97058672809241,50.86039178342931,47.500833963036285,51.45760235957558,48.458808777015314,46.63830012713005,45.84860236857033,42.43247129224523,42.61787044075244,40.003721458008116,35.99685307090232,38.40029536481896,40.12223410755665,44.057467376229845,43.5376595169503,49.35010529960247,48.14409893462543,52.05536703344387,50.62393225686085,50.25614283127924,46.512038675723325,48.977881741993,45.510622659489,46.7047425629151,45.01687103510815,47.735656742655394,45.08461535625391,43.82006570240229,41.867450432088894,39.74081298863891,37.36242668856706,34.788375008054544,35.82308303164278,32.137482026791645,30.91670577276919,33.82820069785007,31.78803418423092,30.30395979024297,31.413362385139983,28.29327720620854,30.774116860619788,27.672112253696035,29.959867837593276,26.954337952182673,31.91150942739351,34.27136409173081,32.694556065190326,32.40120115168426,27.954209432799527,27.853987391172712,28.88967735092366,25.26057740082627,28.547086301595357,26.51166936532596,26.932716438014424,28.70996075612585,24.682972949445027,27.501674035567067,24.968523226882855,29.349780756724968,23.903049133481666,23.884379168578523,19.637874319394257,20.148917689003767,20.227794211371464,22.262474783520847,20.847166136220835,22.480681238063536,26.414570827157842,25.995655621471844,28.502484591170195,31.589757226807613,29.471565131337478,32.26694331298935,32.68882691788834,34.57127851146783,36.52694501941202,40.10818039580957,43.678825310626735,46.47423107748826,46.895184225023975,44.60146826992286,41.29309528121994,39.64054675232888,38.33334375894975,34.78513208582636,30.115234755458985,32.63864231988909,26.911292669452763,30.0945638159447,25.14094575561875,20.41732194904627,20.061544473448713,16.632480998917977,15.294227355240547,15.984062560442469,18.888061975474297,21.338988964512392,25.721842920970296,29.526547640761976,33.15128895000499,36.54809104955118,37.92678036250778,41.45146892038105,37.49322492873659,37.67666869260139,32.14235263950243,32.16784778522015,31.011122636152013,29.926239065964563,27.633887933701512,30.205504057094814,31.529970952819692,31.175219753037926,26.52486138489912,26.50507506934479,24.32186818474435,25.177204267816894,22.868635161379252,22.34226991321157,23.472973354719183,23.506624103448495,21.57593389128622,25.097871433449836,25.56382964007324,28.78875127517514,31.52756965481087,34.38550594882132,31.694095027932597,30.79244933462586,35.11606250784838,35.6947052520447,31.63455153762421,34.71260571653377,39.78369436060493,37.53382255226049,37.15569146566673,40.73481184477406,41.92671781495337,39.52617295685123,40.93285941666198,37.58534364053638,42.172317444332364,35.77782242284758,36.285938592642204,40.17214972373503,40.41694849414079,45.06835294601557,43.534273239476775,44.09770276278563,41.30558097831161,42.378322787645274,40.38254287814836,40.413249574452294,39.25111654208044,35.14316094109112,35.356998068431,34.767023083610255,31.90494256814253,30.109582674551753,30.020522504117633,28.161780602520906,26.22472978761715,24.01961073309282,27.27150400803716,30.40838004385515,33.251102255167226,36.683124530381704,39.326467517712736,43.98151117663113,42.18736477443684,38.06074795071458,42.466984732184486,44.92900360814281,41.109339926211526,40.552231627694546,45.24931584360235,45.71012748697079,42.53370005184732,45.56667474356231,48.501854399905156,47.27546630797298,45.42235859070587,47.70890647602078,44.36821217575968,44.6549508547182,41.98194934340553,42.43940356546396,42.978524149057414,38.50791569074274,37.60616419805942,38.27110729806714,36.813105447441586,32.68457706080906,34.900008352394345,34.68286541186545,30.94728939699458,28.79223709432481,31.501182778766587,31.174640953952853,28.706687964324637,28.29259036024861,28.896801023559732,28.446467687966862,32.86763787534256,30.971664385823008,31.741526898590777,33.13562413681735,30.26992146315767,27.69728519729226,25.427747138631133,23.58546540331574,26.492985488616664,25.731802967339814,26.37020475737234,26.260095192032452,32.17022634900932,34.7066021831675,37.2325687716029,39.70998723258539,38.30044523866035,39.80037571401763,43.102316672178546,43.44013095239934,42.83929754363827,45.32973483035325,48.56793886890391,50.20392650757424,49.97543193435544,49.267622323793994],[34.43071143032803,31.08274719732794,27.581802486391076,26.092704440329893,24.72993175416472,31.03385781217448,31.40537080120719,35.239961279365595,37.10946999418772,36.51043911285995,40.212476058514305,42.65960895522711,38.904968309252894,38.711084993772296,43.104987256326375,42.63331388857403,38.75155467317089,41.701617114680026,41.34906509294041,41.50783421220095,43.08109828226244,44.02468202786832,44.366705984049204,41.54105621284785,39.377613565074405,38.28334634561084,36.655153279402775,36.102882526734184,39.51409199147542,40.97455022594548,46.83911707541093,45.83816553023793,50.39377977657319,52.39699122054719,48.3498374144933,45.18317527412532,43.671010802712786,40.769358821197635,37.66138031892066,39.90736686654205,35.9519914271896,39.999930703336354,42.74087608277683,39.62505273979936,39.206937244527964,35.442859338193124,37.961742860145385,40.07794159597237,35.17495871091728,35.55052568630413,39.60545886923819,39.968351713395286,44.911364134707334,41.71066947411284,47.476504263827024,49.2958820032088,46.30732273742098,48.214596657388356,52.35643780231874,50.69702433256312,48.72152648274334,52.73690264162006,53.03288531957365,53.77076698939241,49.81957810205531,47.62305403979218,46.92692492229656,46.48870157972254,45.06156306987551,45.757250378322816,44.77796075729738,47.8909510866517,49.52060902619783,50.26905624250189,49.96039574575332,55.11130500268408,51.71432239575125,55.32972915215119,52.265106752047025,50.6239398520415,49.125429055673884,45.67583305511325,44.93863011783673,42.36549117969441,38.76355077918203,41.16058132208503,43.628095168590804,46.91891372014516,47.181894383497294,52.62210927612224,51.64976661582437,55.742278200620945,53.913236897774446,53.00373816512399,48.978053822804675,51.317196887041085,47.59720950125922,48.412286125400314,46.16986155422922,48.048168679123044,46.15437416012412,43.948975374706336,42.85900609412287,39.736980757477774,37.46716936051961,34.245517926068985,34.442965650486094,30.55012433667681,28.810373123655317,32.26402054657568,30.192452977548328,29.993320439037333,31.364068026005317,29.190143495868526,32.54671030096502,30.1205158115158,33.19088832786143,30.902228973594468,36.51875765180527,38.01232877771558,36.281521451488274,35.236925242790534,30.77232514511702,29.7680375001713,29.72490260886043,25.892301943430024,27.48521663714541,25.884417282197248,25.688736358645524,28.027362291413414,23.061145055104877,25.703960795815256,24.314743864122818,29.058947618027922,24.102743718930743,24.434088114654635,19.125050289574126,21.23586921670114,22.298073981065833,25.06513086251687,25.198046670155954,27.641780371260484,30.974408470379345,29.714524531318844,32.22954588025708,34.61988666890771,32.115609033399714,34.04758069417442,33.61849492083839,34.97862187933506,36.03496378997316,39.6169010905684,42.75594485649347,45.16422926778874,46.49432902835559,44.496147587013716,41.71560952838659,39.64319887707346,39.29161316661014,35.139469579576556,31.395843651154305,34.92175029721282,29.78018606554066,33.06784086329419,28.29465250564978,24.05624471068442,22.71309150228703,20.149057782730235,17.332255255504148,18.390219237636146,20.467342991207534,23.348855704536295,27.734119248747387,31.27249712448328,34.91798264965269,37.735602703671276,39.53911657433598,42.840682524452305,39.44480383201698,39.057562581542406,33.97338479743982,32.75370946139222,31.776288234982783,31.05413130812089,29.30818000059625,33.05542222112593,35.02494180260661,35.00226113634563,31.235317380710548,30.240880911443824,27.68944824258259,27.7974168864191,24.476746112299114,22.920498792066816,22.95503666749549,21.668523610624813,19.341407794959814,21.944588192264987,21.527415389917667,25.43357035679493,27.06956785897613,30.482885180351886,28.155554618658567,26.121193563212678,30.21432380986662,31.42143513572162,27.059943251353534,29.42107648362602,34.81535794413462,33.031690555308614,32.1011102954462,35.412628960863785,37.28703998028298,34.90284417215035,35.55495485063817,32.023807367969646,36.18382692683651,29.24423837056933,30.028661271319883,33.769083361721144,33.6213948216522,38.03444189965326,36.53656801131267,37.62806549482012,35.12260136273878,36.524642097773466,35.20362183417434,35.06308028235689,33.22381743926795,29.50169280541878,30.286555071825244,29.127864298878173,25.86725384842432,24.790445170490425,25.20354697181501,22.18909317895151,20.056101736050554,19.571181090104993,22.290470621676032,26.701002207808596,29.09376949159502,32.133634822694404,35.39315588263155,39.796482648017644,38.740281623843586,34.27282320835365,38.00757878622428,41.04374273625312,37.52910434119545,36.19747176158432,40.85422570538994,41.61396035378417,38.14832990395997,40.59137584290782,43.74043183230723,42.728900902417344,40.255686995100554,42.21422124012083,38.716502691048724,39.03378820467537,36.74907118032151,36.76973383115257,36.879988904854414,32.82028717959828,31.89656993204331,31.893266811514838,30.456565612615677,26.70148547051678,28.359864163091657,27.646353484014863,24.32400678688576,22.32068171098558,24.396180243018776,23.745600270795553,21.55314653721028,21.701740872442162,21.59167641037282,21.75538513847851,26.17907250813128,25.166428697607,26.20247240815182,28.48278020217839,25.476634752999704,22.75547623100816,19.776792508786194,18.264585223599,21.12159938091877,21.89454861258887,22.98022379394406,23.956020080331022,28.913020191647256,31.999651898384748,33.958961560274204,37.16306101823128,35.72903742952859,36.27860384283488,39.77680795428695,41.005989120333986,39.544310800506565,41.56671802390043,45.19125603084026,46.949893106837315,46.87764559229271,46.34568813949396],[33.699323333433355,30.50897764387557,27.391177655736126,25.186765651205707,24.52178561604358,30.40123744299721,30.719201477840176,34.83593748233161,36.141286631386286,35.33710125380697,38.95254341881981,41.7592148253254,38.03466411590568,37.29059668762239,41.85748046451285,41.703388609443685,37.684973104891846,40.569392279740434,39.97935853467994,40.60751673293272,42.01200208657207,43.31797907757296,43.37250603531916,40.44662835989896,38.52672384284998,37.12060866350506,35.8444314002917,35.18207970286124,38.74820063603444,40.452245083581246,45.901272846009995,45.38759941922529,49.899118696347514,51.885499249009236,47.993688735778235,44.65314594328607,43.55185024800077,40.52385266585633,37.545579767224346,40.36367685894376,35.91968072356383,39.594319726382075,42.6107830301855,39.52585821118325,38.86537082396317,35.16817238783693,37.84828978368984,40.17634680935669,35.44098898083917,36.20892030943088,40.46333943890987,40.67010204603479,45.61249142872471,42.26092671092312,48.24727037517339,49.7932324188089,46.497853120433604,48.415201573531036,52.60661983884612,50.77571483080019,48.452490582828126,52.31011250331149,52.504853115679786,52.946366003374855,49.11520427693852,46.9895434377706,45.7362214720395,45.369478002650744,43.48779509312893,44.17779114914647,42.92237630277442,45.80982575974341,47.799185483777194,48.69467742775166,48.732766147041424,54.01349378780165,50.95424866048669,54.747494076726575,51.92974787032093,50.52127217081019,49.31236513233604,46.156337606471574,45.59974475632975,43.31003328236678,39.481973450874456,41.5128844109862,43.63169703839627,47.018889752218314,46.77724573022212,52.244892871558235,50.89969522661906,54.76888395249795,52.881659070311635,52.09418270340718,47.986656529451224,50.12498391052921,46.31921964142109,47.67546712660581,45.56625830436322,47.798182102852365,46.054251587484224,44.308884057434426,43.2410096286374,40.51986124051334,38.7743202948417,35.423835706400524,36.1456612504667,32.45106919518599,30.402293379867267,33.467296468024074,30.931403307195502,30.40529150580199,31.1440921979479,28.76116668363942,31.597645947653042,28.934739128079816,31.945230436687567,29.37095118531098,34.872154500577935,36.53700488282996,34.503197011899,33.57597370846872,28.930737978164352,28.255827655541488,28.511533886186093,25.22605180650672,27.3832592758726,26.21997292416938,26.65279319698584,29.397260850306075,24.819616381979287,28.008999750062326,26.507595637397703,30.97054476094448,25.60219342375176,25.20708511267448,20.063862781788913,21.171322751937538,21.442471961112666,24.40249000351331,23.788676193855583,26.535307441838064,29.96880896611846,28.958984085917855,31.82696218549348,34.16233334211229,31.573461968419938,33.68614557285389,33.61079643629085,34.70477829529468,36.20778991876693,39.422026515631686,43.0092352980437,45.2026292438559,46.23633034204838,44.47008424294075,41.50675715630712,39.872367104559146,39.28353827090801,35.657995400719535,31.77712752062215,35.02991234238482,29.734742570480527,33.41036390534717,28.934274110705076,24.301608913756063,23.830772967822163,21.22412581910471,18.708588152064955,18.924882070010142,21.429525093758492,23.74760109689879,28.537327519784856,32.13823191217388,35.64890712822585,38.588669690932875,39.88871935975385,43.640486364214155,40.274543326763904,40.23869236820001,35.166369300727474,34.04020744347632,33.595213390585556,33.06915320422187,30.917277301488372,34.311441591801234,35.73995715323074,36.073201129213075,31.875812395231403,31.560262429741456,29.371204596778526,29.484111860003466,26.629974814239276,25.22305999045219,25.6070017577833,24.729183842709734,21.938468894903636,24.7310150111365,24.02047371575908,27.523310814731555,29.517720152294473,32.53961685180188,29.77998411733706,27.948225409760607,32.228668114588224,32.85452066254603,28.06922091787564,30.918431699853056,36.36697080987442,33.85981341986834,32.91843253344912,36.46251715144143,38.00374167366169,35.18248779303189,36.090028641126615,32.6531627988361,37.2752027057753,30.446210096756385,31.576370888042828,35.519774984062586,35.95187816703645,40.31301126050348,39.220830867635975,40.46665231828385,38.142599471906955,39.7729891938403,38.35756195244636,38.59460150030026,36.6946851322713,32.61581445825735,33.66427505351221,32.876317089816155,29.35505155901317,28.157936085584762,28.921375501300222,26.03814026897242,23.505259301286777,22.946363175362386,25.13764221290019,29.58199817768893,32.234860154639954,35.008799902391516,38.22570581939848,42.58874596454676,41.249917208071395,36.73113457218263,40.454546197786605,43.281618005828435,39.44001809737897,38.14927955279893,42.72683822965178,43.188457530746,39.61621046781969,42.382102576447636,45.31482451321165,43.862533118790076,41.63477132660198,43.89670972543906,40.518666158048504,41.223440547869146,39.066811311546914,39.46137520138284,39.261736098059615,34.875083442148245,34.50352140791627,34.525244677540186,32.71730623484869,29.143948865485285,31.369853078037167,30.270645093104477,26.523412732763777,25.168560958915677,27.512736769823864,26.34093635056316,23.737118498679987,23.124785025826785,23.074752378238088,22.37939875794691,27.043271336470216,25.485848177071997,26.965994751106944,28.70446012703257,25.258443360528755,22.9429921531045,20.231901851762434,19.154633057705116,22.69058798982147,22.916676782549203,24.532147334393894,24.724181256913297,29.736937690137854,33.032082602367254,35.30441265328959,38.30538389733286,36.338960513336986,37.16227865727656,40.8541615539727,41.59401869930731,39.98920276103839,42.43034238898388,45.96881981249529,47.59214893098514,47.52273728636687,46.89772624870414],[37.52005670641817,34.39426386912531,31.35674821362806,28.884074029152316,28.225748913335533,33.937439331801976,33.98722303010545,38.11531255635653,39.1615639003808,37.97937051564457,41.484789139160405,44.49234752061908,40.49658655649714,39.513361536402925,43.974125915172166,43.85523730791917,39.60397203175042,42.115027678529906,40.99141252483151,41.70466927397544,42.68343178910706,43.85316647527728,43.57852247256787,40.40960798089351,38.89959664831297,37.72769180500929,36.87595270352277,36.601684938924976,40.42693504919108,42.50848321329003,47.73895663539277,47.616949355301564,52.10114251247465,53.7848911917943,49.89687199526066,46.335749231984835,45.56364887399447,42.06400506460874,38.97465491400888,41.64197765132161,36.89806609676154,40.44592069212535,43.31408040568052,39.986752279980124,38.88360503098489,35.069451384236004,37.4690118018473,40.24715678284564,35.873147960730876,36.28262864317271,40.75277102228991,41.265233301265845,46.20216361159441,43.19119712296192,49.249178524772674,50.38470278157581,47.061904904827074,49.377413784723586,53.38545306418285,51.1364950444455,48.979031935944235,52.98624599341599,53.43483105847084,53.46095171641032,49.58818934346231,47.828401142639954,46.46435387382557,46.49324251363981,44.47333537827252,45.51888533279786,44.065425875594194,46.78376357540216,48.95744490156243,49.57403705162475,49.99135194809686,55.123869614979895,52.0836652108727,56.06493679044929,53.259499557598964,51.70131447389869,50.85419354695489,47.63619272988621,47.548490010580764,45.14088704604764,41.157612214003905,43.302146318718535,45.079696059250665,48.81111866558727,48.21092397069612,53.88246503876172,52.43270004371831,56.20280057354709,54.524104392557454,54.012078092140875,50.03264588963761,52.20712541437725,48.50055750340438,50.07258324732122,48.198178468574824,50.763143974095954,48.71969765208509,47.3145589208781,45.88994476989013,43.51133591234168,41.588344983957874,38.527361183595005,39.41906370232429,35.717230061413574,33.934336978698674,36.926574245545986,34.467807441815,33.543084823513475,34.22715500724976,31.488292463967547,33.95333635262254,30.97531578894029,33.60983753757197,30.63586101873447,35.74506180402998,37.91347179794878,35.90966467871045,35.368319066961675,30.69693899368138,30.482074474995606,31.205438222207018,28.046379428579005,30.794330425005906,29.465273584256202,30.02058291577732,32.47559794478686,28.094092284321352,31.154453222981065,29.218945981507133,33.6928368160455,28.238196823771876,27.914985730075145,23.116929325937054,23.774487498493166,23.664104383530898,26.289170025022454,24.84932838391836,27.113219052895065,30.915396188323953,30.380463948915754,33.21354284425259,35.93250445866693,33.54020793854799,36.04779272364108,36.31465643664706,37.62637976753597,39.44227684466116,42.66293229756081,46.3910741021428,48.70128411952304,49.44708118078257,47.58409166245648,44.42807811527395,42.93133692928166,41.98370127917352,38.53920626927543,34.275639235348436,37.10936890141037,31.533345877238315,35.07493588687137,30.392791554915775,25.59379326522478,25.3569891363627,22.20570412886128,20.393435976290558,20.772747908275377,23.577416143390646,25.869739338079864,30.56784131789302,34.29853795925579,37.84935800657283,41.043556838062536,42.25775136753083,46.02306263919926,42.36117721229354,42.50022765979424,37.1746974080147,36.629081137002395,35.8705039366284,35.03425629612323,32.79826047386913,35.69015960341873,36.97025883237103,36.89063985513246,32.27029779046962,32.26479711383243,30.049450353903598,30.72397616760747,28.155560304575484,27.23533612968123,27.95614943923442,27.394496777301356,25.03260996952238,28.089977251896553,27.76712755558871,31.263755990560952,33.41367476820709,36.45252718681351,33.702867611414334,32.04623216495377,36.33404772818166,36.96436836101052,32.243343065733534,35.13610721850117,40.55998613019263,38.028507321422005,37.12463275256695,40.68757206365179,42.176802280665974,39.30145317834433,40.25099121474528,36.82808745694652,41.47436966268943,34.5793996949704,35.7789736183369,39.700367716694345,40.0090682562191,44.31019301050506,43.13657407367548,44.413466702494965,42.027606995350084,43.53104533935661,42.09869030961837,42.11257141752557,40.30776899967281,36.42224732133175,37.23850024981149,36.233239180369885,32.949009373559534,31.760009611793283,32.1547264329997,29.306206737407308,27.119769430356346,26.318313127783263,28.949190906903286,33.103726078701975,35.749805114635194,38.77049549188801,41.874720722383465,46.330482881791575,44.92333041708056,40.50044800500575,44.38765157367282,47.16777948205585,43.33809275085347,42.19602515928385,46.80486734950802,47.26572702604478,43.749201871052406,46.55246443521549,49.49042642918201,48.03919353877005,45.85643192607049,48.11645913736025,44.73009993968603,45.37326286913831,43.15285007476129,43.469214467052694,43.37477474427589,39.047764928053574,38.5355010154955,38.55464751678281,36.842420169839414,33.228896898526244,35.23807643668173,34.2041207858078,30.63083328704836,29.104873044713045,31.22463417854424,30.1380189413546,27.730022331924413,27.279199960326988,26.95787415406901,26.321254047610758,31.05832496393203,29.582456050735203,31.17388780345216,32.828895275443806,29.29440459621229,27.08531644196247,24.405224430946003,23.379858647987426,26.892055107214997,26.96360832276434,28.407399919604025,28.443052972202338,33.7018854845575,36.856543197571824,39.23185701206551,42.08427495467855,40.167745431867225,41.1877167204445,44.83083666039589,45.39266318612096,43.96923195769762,46.497786580267835,49.96712185035415,51.562979052775,51.45743680353454,50.780989547322484],[39.512415355289335,36.609118274423174,34.116533177742944,31.692572702798074,31.888851230547708,37.44479520132125,37.92450741135397,42.2099282555006,43.1174024992544,42.19618199980546,45.68988257934468,48.78843713753366,45.08187645438099,43.85527061462891,48.49433353445317,48.58402315252877,44.3965041784422,47.00062467060015,45.86867171375987,46.818545768450306,47.742582454836054,49.0531810902388,48.63530585695791,45.401465044019645,44.057809398702716,42.77207219853726,42.06207845406666,41.674486992176526,45.48033643185163,47.52364058372383,52.60171232684697,52.56132875415629,57.021264145065224,58.83301110237357,55.025086195774875,51.47365922125553,50.75412923392555,47.358641431311376,44.33487673082049,47.11736128037468,42.31875526416749,45.76686110389555,48.68910237607488,45.34933591558441,44.11796250604101,40.300393427049805,42.61357862821354,45.549414122020565,41.28258625146883,41.59206712563544,46.103668045604,46.70233863378469,51.63314023566743,48.66970548021539,54.73215925406574,55.81347659175747,52.46588762373736,54.8139350516847,58.81379637361387,56.484072104805755,54.29260464545639,58.25924028612206,58.67590913877324,58.5790824974354,54.763303800753015,53.04975997767671,51.440693635909675,51.467061299076036,49.19640778976974,50.13927494759943,48.53362421583878,51.073172893536466,53.49772976978216,54.28194378546744,54.85673103616502,60.07371345158396,57.21790886160261,61.238454738019186,58.53483099092462,57.067817519264345,56.24977807972009,53.093889493002344,52.939736935363015,50.580729288974446,46.613058684409054,48.68951613242536,50.45496650679201,54.133904695556296,53.45500511528351,59.07705316639519,57.48914853397572,61.15199782686564,59.3770438391296,58.82836890588959,54.74681621226309,56.73972100800986,52.91941860323297,54.73759532782555,52.780877832898895,55.25107681790701,53.55491604632407,52.068489200282514,50.921972420065664,48.3997439118893,46.65123580600933,43.377943035883945,44.10785608519703,40.38073738145103,38.35499249390744,41.430275605722144,38.80316431740743,38.23717348892837,38.71110257963369,36.207838086763545,38.61971473220971,35.70985344358463,38.449276199969894,35.45351845448728,40.508545290550266,42.660141078143475,40.43634648644281,39.824851550477426,35.07923613216689,34.86495284968221,35.43393551728386,32.59747080547111,34.982914268668885,34.05091008979319,34.6129349332387,37.34676225534557,32.76039488086811,35.79951476227511,34.17191990548815,38.728928074456775,33.36527024983858,33.00668002550449,27.991137493735227,28.78052711116538,28.584711156408538,31.41254024361818,29.861685579675452,32.27367212320576,36.06834863571431,35.56918123866035,38.51896333018818,41.11433879405642,38.62998585280039,41.01163387528239,41.206719147084925,42.21474804042759,43.921153423322366,46.91522119049937,50.69288375300833,52.685158708681016,53.65103770739944,52.058275129570674,49.01291808424042,47.59997789645844,46.8563880863246,43.46109194090656,39.41365300024243,42.36375739008812,36.85359255731892,40.495149009986406,35.87082107480397,31.063811807428035,30.80505459516792,27.645433220306423,25.760109643646032,26.17032535966189,28.909125899731123,31.184679621178496,35.94661103641149,39.644150989400956,43.17202445629331,46.274560514193325,47.441090210123875,51.278776728368676,47.73047758710827,47.82473451681148,42.56745483616009,41.81070130170162,41.11237090215653,40.29689756551268,38.16133558216657,41.15264325794968,42.462946040928145,42.33612781917039,37.67578902348688,37.64819096029733,35.32931526092879,36.09318837899625,33.381302046037185,32.36408004797466,32.863453374168806,31.945607045874738,29.57239146321701,32.29580895191815,31.587427775904054,35.2907145294894,36.92648150940283,40.143526534857415,37.48204073491618,35.27286546932876,39.413801722621876,40.199319908073626,35.12419230045605,37.714209804186815,43.329608285542335,40.74228929084024,39.411141456407634,42.85818107161971,44.64437979620934,41.46851016856306,41.948431995211116,38.498397730131266,43.02605131352075,35.74558086368585,37.50624470111434,41.33335473768174,41.51919902292404,45.414502354829175,44.46925570841025,46.34783069170546,44.29309385481845,46.04708386426543,45.126759800508346,44.959128607195304,42.687382853224676,39.212065262002405,40.36825818309376,38.878536491301645,35.46275327710945,34.829205348235206,35.392926286828796,31.813774084973474,29.70449148207701,29.95548441560838,32.2910175134233,37.03308956430565,39.42730473181493,42.217751993184976,45.62062745626439,49.91331934740689,48.86731726513859,44.299463922932055,47.78260864688786,50.82600413869668,47.10046244577234,45.53687612961595,50.049676460002864,50.571615156171035,46.849067397027504,49.36667597043894,52.32693862148423,50.79465827995429,48.308885168351054,50.45078367647413,47.033923549149286,47.872543324241754,46.01870633539497,46.098720129674966,45.561494166466524,41.52105695874922,41.18268628985671,40.63465255022037,38.846767735676856,35.707968387582916,37.292791056092824,35.659954314728225,32.48426196861405,31.363596618070055,32.7597283216726,31.146379047295017,29.038249864488776,28.78343131945599,27.484383050211576,26.889243453650376,31.761552641056944,30.877136738313226,33.12234217523625,35.05610130897782,31.076484458592436,29.210066453746133,26.213319452946408,25.879169419382606,29.637066319817425,30.435570624723,32.307578417186896,32.55141975347076,37.28049757075825,40.78749847332402,42.98453441548752,46.09648081639042,43.92344335661201,44.54896538848068,48.379379210415166,49.16439911252091,47.16537797273546,49.63964357229045,53.269368778730374,54.83850439906495,54.81611890210309,54.17250286657996],[44.902701510844885,41.92561238907567,39.22068524257125,36.91737225794445,36.67391058200021,42.40046790875336,42.644306509338236,46.80980146067917,47.81765604070332,46.63828333652554,50.09967077526789,53.18926579163362,49.166498598349165,48.04457250631205,52.48289833921024,52.40353944963061,48.05218448597801,50.318622052318915,48.78245705252989,49.51371933319799,50.087650409240524,51.00201460957483,50.41141030885479,46.99212306500752,45.94970304855251,45.13082284940385,44.641918233341165,44.72550166203584,48.69946866747396,50.9817447756459,56.10610553986999,56.16464599492496,60.6336598776259,62.13236177308825,58.22433278959855,54.54888637388872,53.915377584523,50.10230011604979,46.885244892559584,49.13329010948674,44.345875041396425,47.8801055536335,50.44345268853795,46.834424093650966,45.27343016840647,41.31636998265451,43.16557437464186,46.455879932321174,42.53095231095731,42.169549019173274,46.742899316738175,47.79996836280624,52.68465149853692,50.23198561559569,56.19935009577334,56.98185912780026,53.829044933732355,56.615937410652016,60.356195945997754,57.666650502012956,55.9136264909213,60.143185763679526,60.91613331728836,60.54730294639516,56.61564472697248,55.27372653038985,53.918145271755485,54.327338776308785,52.21396858693322,53.53854148635148,51.90809247677517,54.41702021088665,56.797059353282094,57.176988226420036,57.93144529383516,62.892459097194845,59.83903294674508,63.94556551900043,61.094468754263815,59.30820381450562,58.703190639780345,55.29535871019404,55.537500653538075,52.8737017168178,48.89432466340574,51.318269237183074,52.9360534412901,56.92000865592433,56.17968574465833,62.00333653761405,60.54642186219307,64.24670288247113,62.740490047861456,62.408753812919144,58.51181791512289,60.678443522307006,57.009994071861,58.70878188659382,56.905066248370694,59.509254547443135,57.39669893594486,55.97278831813523,54.43729827865405,52.020761555233484,49.77120005308016,46.86913907231244,47.46910535290269,43.62281870390249,42.03127267529061,45.26188400727101,42.9588186280187,42.18014821349103,42.97151089208721,40.22466131027639,42.60968934558969,39.52382695534528,41.94814125052201,38.7366313425688,43.46846955710973,46.02192170094031,44.02454921209542,43.719957138506004,39.04317672631601,39.05490876268271,39.8896611099657,36.80552712855285,39.45744662182956,38.10707655891974,38.45016951669909,40.694489375514806,36.09075792114752,38.71283855539171,36.72474754432687,41.42027011295958,36.216181639421805,36.31054076354154,31.511383485056204,32.41284762099119,32.31251969234267,34.74638707476785,32.87738389836294,34.630208185343065,38.70612781766878,38.522381397641745,41.21687832137467,44.230721044076894,41.99031927065555,44.66014463355855,44.983423998835136,46.37459567397182,48.138014983813065,51.38284858918023,55.052104228721944,57.30884922469037,58.16772576016513,56.31826699551093,53.17186897038425,51.62332993802362,50.65419117931344,47.11209013811226,42.75227900486617,45.4482739900186,39.74846138679293,43.01737233408844,38.0258014773931,33.32195206285618,32.8044393077107,29.18636074525009,27.849834759599524,28.821167490126626,31.598436031527964,34.14195436224968,38.58228167826114,42.362685830335074,46.00541035659312,49.295500552369056,50.68031631203027,54.256813656578956,50.378153217401554,50.440652396487195,44.92651625859613,44.71594242227856,43.38532395323092,42.132058428564,40.167830470440435,42.81233852487542,44.290142933470534,43.48340802435649,38.68145531111868,38.56655626861672,36.02488787343118,37.392988190912334,34.755300115728694,34.17702483347147,34.82200337099107,34.02270344681955,32.33783793694828,35.19847961499887,35.019117610408124,38.90934829816397,40.515869729974916,43.9582115384974,41.53492679095805,39.39708685406583,43.45426316381035,44.56656276244467,39.770785997490435,42.16208698770424,47.734703407820696,45.53091926885927,44.25019399598276,47.600965836329465,49.532772839346244,46.55485011877487,46.94296852689919,43.435468368593064,47.731455208295905,40.31967115831191,41.934780237107496,45.624807682185,45.33892174833219,49.1842701641627,47.90628559566113,49.721621688536615,47.510003267647356,48.98151779814816,48.116704001877245,47.47524521128471,45.3509678673609,42.33168479495793,43.08756279618854,41.15021451014462,38.18411976298027,37.64365511917994,37.619696685793336,34.057843389406955,32.56221545332867,32.61143101338618,35.61422006094403,40.01006351752329,42.23562591626708,45.41575391684785,48.711270667659484,53.1082429242032,52.165100624912235,47.73959060894188,51.391801884983124,54.51014159551762,50.990812058716905,49.556211900966,54.1539282615579,54.85583322211582,51.24745849408167,53.618678128112705,56.721395105867565,55.45617794517837,52.86428498797565,54.824125096897234,51.321815118406,51.86185302145044,49.86590538837075,49.63890809212373,49.39816459465522,45.61644532458335,44.816054152529354,44.251164676592175,42.784537388075805,39.50859939989997,40.54477705603135,39.211245428371484,36.46159137501944,34.83101678549469,35.83521911079177,34.61336863957874,32.944487808543926,33.23363934793046,31.69808022695578,31.61957119586318,36.42701416529393,35.8889062929887,37.96892078608741,40.123189860255124,36.295638915701815,34.25272201291158,31.134593340317306,30.560959377100758,33.983921611561314,34.87814712982767,36.32466837751174,36.81859971536445,41.8139857016454,45.08283150576972,47.21969650545854,50.31033480967081,48.48976437228636,49.165337808770964,52.850250481045165,53.7456394323048,52.01644042058336,54.34237442385656,57.970840062767394,59.59270470128891,59.527923055920645,58.886960247324815],[43.7462243879364,40.992454716278694,38.782941793209766,36.31223924678965,36.83831150302557,42.26071544186644,42.81014085248863,47.149734380802116,47.897047986239485,46.92594009087308,50.355064950261266,53.57109799569922,49.87120866434024,48.44355077843219,53.089623781973515,53.279981721144516,49.023256274541545,51.47436574967181,50.07571825776625,51.152909403935865,51.82622715826405,53.10136491855459,52.45054921601564,49.07756754577854,48.036942141344724,46.85096423357241,46.41414640440392,46.180809947917965,50.086689284460405,52.28596399499748,57.19009086627504,57.366859146532576,61.79804774760107,63.50898092706278,59.73909224760585,56.09270326615474,55.547694810282984,51.97144404187056,48.92196472039905,51.63389049527462,46.702527045067875,50.04429141071025,52.88048079601067,49.41878913081934,47.90617189085721,44.05046948867412,46.13120575897085,49.359113212423765,45.36212220513397,45.400461385447386,50.001776271996704,50.81669249173458,55.71835907028389,52.989108752413905,59.057442343251225,59.896427142033524,56.555538300119224,59.13382189305414,63.011424438796624,60.422891333301756,58.34014299174715,62.366369205359256,62.915538900347016,62.539435403379585,58.73719438796618,57.25418375240026,55.503020711811295,55.74124034535881,53.307953641186536,54.388102139107566,52.62313237389088,54.97800090837022,57.599999970616295,58.303445694944045,59.14407468374407,64.29765110480653,61.53385084894494,65.65799104410556,63.00269063817465,61.48717549671768,60.86437520642875,57.69321109136811,57.74336929642581,55.328653506698885,51.31240496122202,53.43527508280096,55.03432886517133,58.856458045767816,57.98058195300923,63.67472575044232,61.98735503874051,65.5460010004532,63.84591763491778,63.42231240944815,59.371114240884125,61.29985886492078,57.489424634030264,59.508357070128426,57.628313509069436,60.20178056610202,58.511985969968535,57.132675473129694,55.93617443337029,53.49403444590371,51.704947924143966,48.484982382097385,49.19062557807916,45.434535377037136,43.443018403386745,46.546487231652414,43.90727401808879,43.33314362957104,43.72571093504298,41.174913055087046,43.413182951288064,40.40745087480051,43.004050016426206,39.83502403780686,44.636245619075815,47.017884838769675,44.73498836215802,44.281762157852405,39.52790162575388,39.51625356257833,40.217239597640216,37.55397177480139,40.01567217611414,39.15278294490284,39.73736699813229,42.437355968529076,37.828327531356706,40.76687887557488,39.0826523704814,43.692502203842984,38.357228532671265,38.056222826305145,33.09272153587436,33.79957534500767,33.450952865560055,36.193600358113365,34.27002927168826,36.47555639361808,40.41070705699006,40.148417173118396,43.097997908561645,45.82102302309606,43.403441310427205,45.904042359962375,46.2110490959668,47.20130661265753,48.98066008225748,51.893372294816395,55.738364494188986,57.64236303919595,58.5909727624564,57.066916685779994,53.98894833416547,52.65900140517571,51.84701691275555,48.53315933535406,44.40844574474081,47.21992242977557,41.62499435150867,45.212134706665275,40.509021306059786,35.67208870024917,35.46158003275538,32.08109004316466,30.470349069573142,31.00314149345578,33.80911510338659,36.09248503693935,40.80593180140885,44.53924589382064,48.08051974077031,51.2571374381297,52.38888823946452,56.23790672157128,52.59153370709632,52.73034881844162,47.38406897646564,46.81192525428418,45.95382056125336,44.98343269167215,42.885964329079364,45.6846105393185,46.96368461457053,46.57482613525298,41.73846057208096,41.8147951747282,39.42896107370502,40.50741658154877,37.85991262691232,37.02818096938326,37.56481879058619,36.6205930457581,34.46847279596918,37.15069536265932,36.469544930961874,40.27441227927037,41.72887267293955,45.05252978023413,42.465585643145815,40.083262538505835,44.13488315809801,45.02944098498909,39.86312536972963,42.293275110097746,47.96219544218339,45.39146645530771,43.88018726346354,47.24722604944804,49.16852716267005,45.86125157104571,46.10765080575131,42.66933520329399,47.087843760500135,39.63419448088127,41.666736621415154,45.39210388278184,45.410157706521886,49.02880799904039,48.14045203897415,50.3267271281547,48.41194626904096,50.20036643354245,49.54185642492774,49.141396779688414,46.70122910113227,43.57792410794595,44.75836039045809,42.90552959368511,39.59501247304926,39.24235792365542,39.678250386208845,35.805018997053466,33.94995983576376,34.55298722787526,36.97378819868619,41.819174969533925,44.06917431328511,46.88030807507546,50.363221287585695,54.61718563939288,53.73433381851265,49.156091987351346,52.51847675154109,55.677366016774045,52.03639211137192,50.3422337377998,54.82063734452865,55.39195605241185,51.609512894151734,53.97664342935663,56.95847577995088,55.41904108203468,52.793443476464,54.84613258831505,51.413386531130385,52.289395764781766,50.58479432294571,50.47982092056137,49.796566974159504,45.97299400155278,45.61499037568558,44.786621151532444,43.04802506567139,40.12943570289657,41.351984421405625,39.49869199237699,36.666607663115144,35.62556760616471,36.53289881273204,34.76141445975956,32.9598819029746,32.92191110437192,31.05589751466238,30.57346092928107,35.43798830201488,34.926358134046765,37.47679651795711,39.51799403787617,35.35313818077009,33.68404580917106,30.58574342590077,30.537663241789364,34.321533908845986,35.38480792318068,37.330677048584874,37.63942718490367,42.24211462577048,45.826235863697164,47.970144142345006,51.138940573382044,48.90726459048814,49.42421340717395,53.30277555864936,54.13715997406041,51.96006993233638,54.42055550318362,58.09855510491862,59.63844466323943,59.64266785127355,58.99189982826812],[42.20324913120992,39.672698568881316,37.85701421297326,34.82078146041041,35.921255596474,40.75329975283198,41.23260365994795,45.70763296889678,45.896231793664,44.776178463070046,48.027259226116264,51.51476745608345,47.96680191150374,46.03690008682505,50.75661656372039,51.27399682380627,47.0160596138406,49.39840432513749,47.87792052224779,49.42700805651179,49.99731994782051,51.68609201819557,50.81229025817859,47.461912382987286,46.61165201812472,45.053747684727455,44.91840221125441,44.495857679448754,48.41111873470573,50.74464567370241,55.14589224326406,55.769061703380196,60.083947644008916,61.80889529794367,58.26308352001683,54.53828999286533,54.37135664054541,50.830153740527585,48.00515685807093,51.30324550015747,46.03401643834969,48.937860924238215,52.060840547652234,48.766041483667664,47.15206017436123,43.492178801717536,45.80397889687839,49.04996136098857,45.19152227399487,45.77511035448386,50.44984232552714,50.971612503581575,55.81099700908998,52.839876196817286,59.05464648858554,59.71190509041824,56.07651644231826,58.50858481722241,62.45035277056209,59.83204457363843,57.33076245460215,61.07788330253865,61.43440175126434,60.841953746242304,57.2441745779206,55.765033427822324,53.44779146180831,53.67034819013974,50.80833355210992,51.78924234768201,49.79039556369642,51.86279262254926,54.80778675276001,55.72285831232291,56.85934208083674,62.1089807970639,59.76074948783413,63.979555818763984,61.63123832448922,60.4330999654569,60.04137558158068,57.24567449128721,57.36946430252822,55.31329004294528,51.15523030875698,52.8355792212574,54.12237092119952,57.90697387929562,56.583567862547724,62.175155907181015,60.12546030291026,63.40587262722183,61.6214309369556,61.28616457268648,57.191986839714524,58.86388066931939,55.01813405509818,57.54390277429318,55.80583747201193,58.663261426960425,57.192079789390796,56.26041733184651,55.15516153104303,53.10289302827512,51.887636469620254,48.54096022159726,49.72640108493021,46.202741094128214,43.925355622417754,46.622234429494874,43.60092930260713,42.770418123583525,42.56982266161925,39.943547828478245,41.64081175032199,38.55451761231476,41.040414692883274,37.760427653545065,42.3153034004595,44.72114725202972,42.175639986401926,41.812191969084886,37.0655874034422,37.34815717646463,38.270620542856925,36.23939967013116,39.06883040526612,38.63341082750003,39.7397080955239,42.77478206540278,38.565887186558875,41.974229077790945,40.275779514637435,44.57379504242753,38.95815918919008,38.01897116442906,33.30537688165089,33.22375354346565,32.24855664060413,35.06661586409579,32.636954398341295,35.11697193959169,38.919940818801834,38.835562768885744,42.04777942444757,44.55948643556836,42.09439083415171,44.63498639922685,45.22966989744993,45.90967730374168,48.04987265626966,50.54249230355086,54.748937280892065,56.411327486610084,57.05246399192854,55.7945091196788,52.60679553429822,51.72432090170504,50.736512702784246,47.982434475136145,43.87619944581573,46.43151366432693,40.88998059934424,44.79034198098404,40.541320778882685,35.5162191729534,36.04553166227791,32.87259736235619,31.37540561350446,31.17615221088275,34.164483201990414,35.891672987453575,40.848494718777665,44.531457354978365,47.86584458115295,51.05942454991948,51.68244136077271,55.929868517755494,52.429508442451215,52.885319131987366,47.68255346486333,47.081123630231495,46.822870115614286,46.13955707649939,43.689105228231305,46.243965920404406,46.99425213295229,47.11099168388082,42.04907494507882,42.71933303187832,40.74690308377611,41.61579776819729,39.35384978296629,38.51565767214212,39.27738200501203,38.64022044437446,35.986728206689904,38.80272740014717,37.860130223113785,41.255427718504635,43.077378321099694,45.97968317184222,43.00706737747937,40.903630977042084,45.10957871061823,45.411154346658876,39.99217919123547,42.88165181734088,48.49267973032515,45.257727458934866,43.834978138229104,47.39503735974817,48.89501674955045,45.260197607870474,45.84550556931495,42.58184966668465,47.414998847649166,40.30603910510057,42.50209154201281,46.40929027046014,47.07753835254018,50.749632683070494,50.24789415023287,52.409677777991824,50.60421279636084,52.59247201024722,51.7052575139518,51.795797131500834,49.388507065292906,45.73427444336429,47.14512352889348,45.84069123211657,42.223637637134146,41.59635097844887,42.42078349901765,38.82593074836734,36.46914778655067,36.796004890661074,38.74286245287593,43.56266150780597,46.11116150144254,48.66015211999933,52.0653041800266,56.28737950719834,55.06398421539731,50.4526764279091,53.83730559147444,56.728880857867516,52.756610644372486,51.16417426915749,55.54195153656682,55.790088991119056,51.96265153636854,54.687440701959744,57.41378108589294,55.440629709556305,53.15224508844051,55.5298744857892,52.25986188378788,53.49850591264625,51.86229258984338,52.21074079186702,51.30095940145962,47.08934391182247,47.262288330358146,46.610282306945514,44.51355055335824,41.67449186182552,43.5970765310532,41.537738527565494,38.174739854957366,37.64635431933195,39.07784044425316,36.975302194441056,34.67496637330343,33.875410519769254,32.41283591725203,31.11280941740099,36.00225314851918,34.83648857051,37.59705714646191,39.02120992147578,34.65304573905663,33.381913896091405,30.70531780708004,30.909947902417137,35.09501701325946,35.57725205069025,37.88769644748362,37.517271651731484,42.07387323225405,45.75652922086185,48.17455497058078,51.09119108592361,48.392020009754184,49.1941227944426,53.19082774535402,53.51393695081988,51.275353636076005,54.12562653646045,57.648875424621906,59.04178833236797,59.04065620684515,58.309632882729844],[39.414099848082216,37.0923686205104,35.71539744072575,32.6270674799493,34.387837863844794,38.89610277608261,39.69650480805352,44.25363636332118,44.29586215806331,43.48137160217084,46.7086177873435,50.2007726985267,47.03969636470681,44.9634563101882,49.84935900137555,50.564243556137704,46.502736409197475,49.15093204498331,47.961291736830916,49.725102350049546,50.54352307892797,52.544609425914636,51.777196903056975,48.580821347373586,47.55358418765435,45.641051693163284,45.37327681271055,44.56805226306932,48.299148670971086,50.410609275565356,54.6882819316951,55.25282047991438,59.5197030348898,61.51478790845999,58.09383943450515,54.49966664032753,54.27919080189636,51.11839662825631,48.48208106728901,52.15469063610423,46.92895683506142,49.72468635297054,53.08839638033875,50.01325193704301,48.626147403741136,45.095224771352754,47.67783063776739,50.68123668641996,46.63565085233105,47.634419165189115,52.227359836138085,52.4595180684106,57.29676339140363,54.00250150487242,60.23804056581697,61.100265204156436,57.354077391829385,59.46260594349857,63.56575022193192,61.2064081071147,58.40574628718248,61.92860356971515,62.0094939251804,61.59837654850415,58.12442503996679,56.38914348321388,53.83989231343245,53.76324308210923,50.73470100420206,51.371720492272615,49.36614830301424,51.38173786284034,54.41634734702204,55.6947117423959,56.7258149133689,62.158560669488686,60.03096965709671,64.16593704697604,61.96961224276791,61.03959087715453,60.4920872060674,57.91238257420127,57.71976698499406,55.90680332550639,51.803485690101866,53.2053339201526,54.59547220230662,58.10538548216005,56.82453702153036,62.208307129220216,60.034994724134805,63.23312322839485,61.222064569112,60.70653942939993,56.465786385064206,57.92728669124483,53.954420184295145,56.637464800843574,54.76728332439617,57.46742563224403,56.44442383436303,55.44704276130989,54.73468693538667,52.57761839581726,51.7953010072294,48.152520663651515,49.36907885899207,45.97125159602753,43.34169974859414,45.905142353085964,42.629530636953376,42.077568463340654,41.561476510872296,39.23916982490854,40.90259511370197,38.02719630635448,40.748293975411826,37.68679680200405,42.40266993799638,44.45285587866433,41.69446331397167,41.06989774435407,36.32596677679957,36.43012633549826,37.08028652785364,35.40789897925719,37.871329088954106,37.89792576990674,39.15616665251098,42.57873504761806,38.402060866784936,42.03454846791366,40.696798804206146,44.861506872621504,39.24821518002205,37.997840063605246,33.18204673987194,33.04524098393057,31.991534847723138,35.09528147399974,32.92979019448029,35.888403489041394,39.41092024924833,39.09693531828562,42.47743610733597,44.607527980402025,41.96591365604182,44.21230660844552,44.68027922477144,44.959597493650925,46.99960759248942,49.18645273431448,53.4559819823652,54.78343088880528,55.5753972444765,54.62070588419218,51.576039928837325,50.8378838634461,50.09670191524264,47.502082846922754,43.74874943114066,46.49464186957921,41.18867849739759,45.33017193092705,41.40503237579296,36.39540306279328,37.064369013105015,34.255037680517965,32.40014143776221,31.848464265176084,34.720060574360126,36.224923447525754,41.33902244499697,44.90150351881213,48.10902741070624,51.1031076246169,51.54948772517758,55.96876852091827,52.77350791232149,53.22788802453128,48.28018678472591,47.23337177235501,47.43462257431135,47.06208173596061,44.559754891566044,47.364402000978245,48.018120845692685,48.58083160791042,43.67333968923523,44.3554612575386,42.50452870602854,42.98408699677053,40.64894693006478,39.50549041656745,40.096477222826366,39.29622799071515,36.23858704185029,38.8127458333646,37.41602754079387,40.65572813694438,42.31869819570041,45.05131818317351,41.97389509802983,39.69920776966121,43.84130124053609,43.92313177103652,38.27222795108683,41.17306492572106,46.77732183200755,43.25313094450461,41.671675401097694,45.21431358572214,46.66164881919273,42.79968349651194,43.2963854414509,40.14075332766489,45.05018064060344,38.06865821799534,40.53676721735302,44.4473131016092,45.44466709636289,48.95867754926018,48.7986032234437,51.16898591001939,49.616039328472,51.85943296331559,51.09968127217663,51.47071992557558,48.854087565634515,45.057460213688714,46.82897575022801,45.71430421359728,41.817441809630296,41.29774952319374,42.55209749785633,38.82421739268857,36.131369178006906,36.87056740911236,38.225266075197204,43.35251176882148,45.90713279533033,48.074088522941466,51.598064965339056,55.64529829958266,54.46950744878694,49.76919541990893,52.86072656421768,55.74335311222203,51.69464307221561,49.89414028635032,54.11941911751125,54.24254341564033,50.30650074427615,53.022384248401025,55.60998526172639,53.41342087227341,51.14175845931392,53.59932686157335,50.431735541678854,51.95480063799474,50.56811251739115,51.070395629611795,49.80627987949014,45.55278962704683,46.1357482660621,45.32981639550757,43.00085665352408,40.48141612765047,42.643554108330946,40.21692307383115,36.73709670490536,36.744706161897994,38.20523691872862,35.70113667718801,33.2316018223111,32.06663416581501,30.526445231060702,28.80625443421967,33.627119736944756,32.38548688688648,35.4583665429065,36.725229543032896,32.16294884546375,31.238042239767893,28.6824936540182,29.323765344151695,33.71942999642893,34.313389043252045,37.024981272408425,36.51814743676974,40.611784060505045,44.523751410032915,46.90146552008347,49.86994773339043,46.84503139091579,47.47692848227859,51.600321896691355,51.89690700274914,49.27839033050134,52.203777204313866,55.73950064648539,57.05672345837636,57.109867228348904,56.39039356931369],[40.3125038563615,38.27011197800015,37.363741102789206,34.08657106858655,36.40544019225078,40.44779882169721,41.362323814682604,45.966337509813435,45.66994166393923,44.90369705248021,47.98602775613868,51.60299939971628,48.681824015437634,46.29063272655266,51.22018796616601,52.17506502045223,48.195197107942285,50.824225638301776,49.60592618742473,51.66658279926983,52.422538072565054,54.6615043722223,53.754970012075276,50.58866490035516,49.705431422033186,47.58883830684643,47.501937979483834,46.56360906175796,50.23856218402417,52.36709591361489,56.298903098687866,57.1024453112952,61.26610401069114,63.31282847150624,60.06093252680213,56.46801430652443,56.444633899558234,53.37907523145594,50.8988205223808,54.857956150806984,49.507479703044154,52.0456287115893,55.53932786013139,52.56933756436379,51.119198067358965,47.712316489312634,50.3541555305992,53.38083174594524,49.45198814839382,50.661521362371694,55.266629722922254,55.38788254292517,60.168471409495965,56.78715447034473,63.05753001543932,63.82305824607225,59.95030480044393,61.9770171466125,66.0932143349629,63.71706564027415,60.71458027373707,64.05924571557013,64.02285760279783,63.476559661391114,60.15166798642967,58.43431384599887,55.540751109173634,55.43975680735851,52.13603429250082,52.6575988147961,50.50364970813036,52.2804219812196,55.54373612128101,56.998168059801756,58.217391832443596,63.6948894765514,61.86427096187196,66.02629220557962,64.03600924726722,63.306951680989044,62.87404358664988,60.51372539361566,60.32092513813833,58.70694983775631,54.57304996947623,55.732766455941224,56.96930142092919,60.40693771031193,58.89912208855348,64.16788565507,61.778294806006336,64.77261494970111,62.68680672782739,62.1955967509343,57.9241287119454,59.16357949285641,55.16218764617123,58.17380967686363,56.355337357199076,59.13032068490434,58.36954433729065,57.56710449062894,57.01607982517,55.00875576572305,54.56978244728114,50.82336789060699,52.198537024445635,48.9303436580465,46.11780590548031,48.48851520625182,45.014839047994286,44.47379586899814,43.60733182543252,41.37598935720013,42.736963417491516,39.90697990514575,42.57455394615626,39.52073951056289,44.02817838290258,46.03163057901608,43.100827306049226,42.491035910530165,37.82122139267061,38.05629895389784,38.73419237676248,37.521217193549546,39.98014876667362,40.34350967843198,41.823213722605054,45.443355518879166,41.4315578575749,45.2224759508074,43.98228459490309,48.000922692558056,42.34538486818681,40.822222698261434,36.12534502213523,35.691569372134126,34.36290702145659,37.50367620660133,35.14084386798813,38.22570218517529,41.61538101616036,41.385590567949976,44.87901041443435,46.83223110595164,44.16609596495337,46.347956377439935,46.91584718302913,46.92778553170372,49.07391768359442,50.93651179903002,55.35901396478103,56.41990740400573,57.1378313922183,56.438265148530526,53.415865621447644,52.93853732449694,52.20005506705877,49.91906011080334,46.29486895771887,48.93841846208558,43.744929784974325,48.01886181960155,44.352675010695144,39.31878064528113,40.274995606656695,37.57995833710798,35.764175944536134,34.94270897671599,37.82735211277474,39.075193077837305,44.25400960592047,47.74792221116767,50.82524657059726,53.76721366677444,53.95369803342049,58.55560384725147,55.49612321871013,56.076807636916215,51.25454896505875,50.12658233295452,50.617491552183246,50.382258324452316,47.774604601994525,50.4929655018358,50.92104152351095,51.69653706061701,46.722878445532075,47.637751859387144,45.93932543832474,46.34834207535076,44.14091539892048,42.97363303750135,43.5913015337441,42.827988732027926,39.59353639880826,42.10018476633566,40.4996518552066,43.569787496886505,45.21717145806395,47.773812179682416,44.5850405111329,42.29867686040602,46.395677051588265,46.23887219023512,40.44343404754851,43.40652311912323,48.95416722392358,45.12643943477155,43.45906198956783,46.99001924816288,48.30508414597951,44.217592013026255,44.69806691875396,41.69731328209628,46.680046105707675,39.887599036126105,42.59638254982242,46.48568424498331,47.752752786023244,51.077383077550934,51.20848427457838,53.761322543927214,52.39890974558549,54.801025131508716,54.116538090442674,54.653427654130226,51.920503660508054,48.05949845436298,50.02678377989917,49.01640992872835,44.99038815091751,44.52737228272962,45.98618603623835,42.210468171008785,39.37060981282259,40.27622535223121,41.32309252330477,46.546515122860505,49.13123194623088,51.08164686465991,54.63514055645529,58.577914386697074,57.37455579944104,52.64982986307773,55.58186788981101,58.40136358594589,54.26529606003241,52.383713287690604,56.476165151569006,56.45682130979245,52.46651703738577,55.224383896846845,57.65905138127262,55.229831031254456,53.046123355864005,55.595480406358,52.54242465995422,54.30519268036317,53.10458652531282,53.739875709260986,52.217304637112505,47.936199989170404,48.83365032596149,47.92597873537613,45.43265784676129,43.163991481060364,45.47734962267129,42.791501861685234,39.270199295549865,39.65276719302931,41.08924092852936,38.310311648915935,35.774721817972804,34.340136345985584,32.71130508806269,30.646695671281982,35.341089990991975,34.021123384098956,37.35684821043672,38.366639900093006,33.664556869371324,33.117894520087134,30.769448826551432,31.74347263451544,36.26997512331234,36.80479940501946,39.76440325121826,39.01870141443509,42.831569262759935,46.85434567180839,49.27049192385041,52.16814768948273,48.85507384582555,49.47536474968147,53.67567483466651,53.79335050621165,50.952719443947366,54.02162770403904,57.497217490317844,58.71501550069546,58.79664519561227,58.055800099853734],[36.769932958855264,34.90647882305467,34.301645935746535,30.72522150598278,33.46869410047397,36.97967054861781,37.925450466252826,42.54268386239849,41.931435222232274,41.23151202814597,44.19293507493612,47.875902684419934,45.223649113491746,42.607687182826645,47.58908814776149,48.74779520736067,44.92920981747155,47.66643510048426,46.66122176466144,48.96952254212843,49.87930991140772,52.437060084170625,51.583499450571715,48.5980763917164,47.61103235921827,45.15085145858367,45.042307617690234,43.793920127415966,47.29735999613729,49.309939077449336,52.95946470427697,53.87013386290768,57.92797519491004,60.114808497582025,57.0385632822085,53.53641865610116,53.61169158925388,50.83108385565298,48.58809002618734,52.956453688629274,47.59453595763217,49.87853935316018,53.59672197684256,50.888771988632634,49.623074051515836,46.431850391036996,49.34028432172447,52.11072159931626,48.122923156147934,49.834131601507146,54.3355336506431,54.12164287642247,58.82399685422354,55.14881137503124,61.41911771384075,62.273149779129604,58.25838041245647,59.96889720266718,64.19101429400885,62.03832790583773,58.702707705871134,61.76642233073196,61.467342057126494,61.022768126040944,57.87122980754945,55.96536997470227,52.79449552747926,52.46463126970547,48.98208144811146,49.23571839295002,47.05221377550518,48.73005285491957,52.07628773836768,53.81840560592579,55.00698869594527,60.59318170826517,59.02884865807191,63.12207853428356,61.337886165093245,60.898084557056855,60.43674738908782,58.376837836434206,58.01743428838348,56.7164644542975,52.60906384835746,53.404431488899675,54.578018045211444,57.78856955124512,56.174081780145016,61.226680679406854,58.67165205475534,61.517386092345504,59.27950734676521,58.70726711418145,54.37473297948634,55.41386085621109,51.3687878580206,54.59977990999711,52.789363576844494,55.59096782759887,55.118503786982245,54.49806156736273,54.166127667852045,52.323853044287674,52.36829575102193,48.48861622716458,50.12340782572002,47.092894409482064,44.04971009367215,46.089779136943555,42.38162978307826,41.80750823486302,40.53009270577316,38.44020309095574,39.521059120263956,36.83322971878668,39.548673575541905,36.66610550729198,41.13905276400196,42.86399052432307,39.76669392569844,39.02745725824818,34.45143004174625,34.68607973723691,35.30755150836306,34.58368706962441,37.02542870713258,37.77991377806462,39.5695276159249,43.44093999826855,39.767387468257475,43.82881891744724,42.74986482232397,46.45049035821847,40.76869665729741,38.806661691822754,34.34041866271603,33.484645405613584,31.86709242038496,35.10553264638181,32.79862067521277,36.23376429837165,39.292911202220196,38.96538268833906,42.590593743257294,44.18652200151218,41.44436175103913,43.43838060316815,44.05943130605702,43.74883601480576,45.998695149184066,47.51811416333297,52.08976678678751,52.92295312632103,53.52090785545022,53.05480481464244,50.07081432281718,49.867253461516036,49.16148487261265,47.248160057233804,43.86341818423278,46.45017995390396,41.51459196245538,45.98097522623793,42.77732129924875,37.798377579950085,39.13399993185785,36.83725866411786,34.91461909704812,33.57694959129132,36.38502191123253,37.21119132769619,42.460498307164215,45.79313999041477,48.653739540290836,51.453967879186976,51.31820001477274,56.12872566800496,53.33625880386727,54.05201817057767,49.50749642940689,48.151180007658716,49.16708875672943,49.24708278279987,46.48189385366346,49.192384145940096,49.330926968048736,50.60812428284805,45.747501828594636,46.885474226130796,45.481978065757914,45.52749150961252,43.50649936854758,42.19568047437036,42.84068904618991,42.210971743064036,38.60280978956883,41.04988288753016,39.20507440630815,41.87752235032178,43.719093865800374,45.890072963584835,42.483203080621415,40.432979608384805,44.54810312442617,43.935309833504256,38.08083582053426,41.330538912391816,46.71271499195605,42.45805353375688,40.91247302628426,44.53409820528337,45.49003732813966,41.255563466176824,42.032225096699925,39.220355565246464,44.44936793661809,38.11592134890602,40.80707935740348,44.777907858877704,46.560280558657006,49.95732484148751,50.35075774438656,52.75476705176437,51.46924996729838,53.98881238733233,53.106753490296676,54.0678662137627,51.41742022757678,47.15276736213948,49.28797645355171,48.780627656456666,44.56374618425145,43.87775860346346,45.6669606479378,42.204079047337714,38.998512170638584,39.70507276246893,40.27167128696452,45.39946063827715,48.15128542195405,49.81240610173015,53.26278180511079,57.102179845163135,55.67058975815249,50.978119521100616,53.84741415161326,56.42631052969019,52.10321937731464,50.30497459198046,54.254215635261254,53.99161354281824,50.024661227144534,53.02057348912539,55.2292805755859,52.51489298362742,50.630308724614984,53.402915921766926,50.519210167386404,52.523092183629586,51.37516313341099,52.37872256924473,50.73046384629918,46.18720726651913,47.488085201449636,46.78256500368965,44.05431401084728,41.86567082652262,44.73469382538004,42.00520762698652,38.08930937853224,38.85477258593268,40.75158713731987,37.84116547327503,34.92950018807249,32.90139095978637,31.81112754556035,29.152195925982234,33.68590266039479,31.78230915247572,35.11072417296194,35.599803243902684,30.90546043896422,30.668475498896967,28.772673615336963,29.88797352893297,34.54801075500053,34.64020761216313,37.83089499211948,36.635825876866384,40.218706366733905,44.26177310114674,46.80544683021798,49.49936061877783,45.885330350868834,46.660634465191805,50.88802007059367,50.67324615666585,47.792161184257644,51.086730954982905,54.41517061604332,55.519614006256255,55.60501118991696,54.831123996183],[38.74346610821345,37.10963539076047,36.921758323496995,33.67433172280807,36.85525910864791,40.32188276552363,41.64681947699881,46.263703082480674,45.737758936668925,45.369171946745546,48.33957738021745,51.92947919645449,49.554188467039744,46.97176245165742,52.02337854967822,53.23835567514561,49.55058568009535,52.42596018891054,51.56557502468659,53.879557660197555,54.86452165011803,57.43415708432379,56.61139613714133,53.62648585273129,52.61353172623895,50.14206701161143,49.9586136481369,48.62218815070197,52.04275126021294,53.90666972778748,57.59195703169242,58.36588013376231,62.414456549794615,64.75232993118696,61.697392071967684,58.28148758286556,58.23277554789482,55.61682036298955,53.37942468435916,57.7084701630865,52.43872174463951,54.80830589585366,58.523020410079575,55.8030599833704,54.566361474400665,51.323715873627,54.19015235293081,56.98126801609418,52.92734474888886,54.51833072268246,59.0232741454425,58.86833836003605,63.609545772715585,59.93437468753451,66.1882840008094,67.13415332355504,63.16233465368132,64.84949997361721,69.10066768424522,66.98556304799546,63.68171153650775,66.75093831532305,66.41622752391945,66.02686608872298,62.88110089741112,60.92787332514409,57.75856206584122,57.345759895840665,53.844564113560054,53.967412651707185,51.797072886708094,53.42730443260373,56.80881111777166,58.6771829039055,59.8159383920962,65.44570609912722,63.925983292551486,67.97290459779876,66.19548902225449,65.78264024861988,65.21029527846262,63.11957526490688,62.59821163755793,61.27293488142936,57.22829880201564,58.06631532051049,59.377608536138936,62.48669762758867,61.00180100680977,65.98496347591609,63.44221805284438,66.28009903063464,63.9490857688621,63.26750927677478,58.86823897952991,59.80670309584643,55.697048707688936,58.92423873546347,56.98201937878503,59.5473577033453,59.36697549566315,58.52009521500663,58.448581926357576,56.35622452799544,56.43209568049343,52.39329530957673,53.77990871979639,50.69668277524596,47.52074123452889,49.699660062268585,45.97669252314651,45.7833433190675,44.534206262195056,42.71242931769949,43.964244912532166,41.434286543363136,44.2900580243483,41.5252424158421,46.07015583859352,47.66224539962354,44.51886196341257,43.63948241430016,39.09352612162706,39.150400898479425,39.502295344048505,38.80239762097712,40.76446073600936,41.69264163684738,43.3199747145362,47.315558471254384,43.40238174286527,47.3585695633895,46.530570427676,50.3588694579927,44.79822428953719,42.97435194282505,38.270577871569344,37.785501088232245,36.38717416462211,39.746798184663234,37.674145127258676,41.16478792745793,44.20878354725956,43.768629184078875,47.38914965229337,48.89928058536237,46.0868677545817,47.905906506293285,48.33525581705043,47.852712604608314,49.85383811609863,51.27539861587391,55.72992202228963,56.32227950082977,57.214272279146556,56.93556361479978,54.12881767243368,53.86122044327543,53.42179355667387,51.38617246201031,48.22020079714112,51.01981432628363,46.15938535654238,50.62913555778651,47.35038071259724,42.403729910115445,43.48535153865367,41.15893051596919,39.05012555934062,37.92365182853365,40.63428279824374,41.6307254900415,46.88146465080596,50.199233187882015,53.09661336688709,55.785930618970994,55.755512762692746,60.51281141204769,57.82294355596332,58.402529189222655,53.90388560964299,52.316642694087854,53.28806242301468,53.36917810599605,50.742408309782775,53.676317749562685,53.994922700975685,55.201396351490644,50.40511759000252,51.334486224623554,49.757042105765734,49.811084366076585,47.54961168095289,46.10399762437751,46.533567537498,45.59302569242805,42.01618526704856,44.20172739989991,42.12437204525843,44.97603687806816,46.36281460437725,48.69248064033273,45.45202226024021,42.96522928613517,46.877514903984874,46.47005699565523,40.48951733375311,43.35812699256966,48.79487107982774,44.662035347542215,42.7765479281841,46.18760184476016,47.433896833441274,43.08135213168943,43.37069184533026,40.600784840814654,45.54914429017715,39.0587148911055,42.132792881736385,45.91476245070468,47.55599434164359,50.543259418099275,51.13659382264335,53.98862751772345,52.99837282436751,55.69142876745037,55.22803907498425,56.04893830002859,53.061036408157086,49.16026852635229,51.53341873487876,50.68537070772921,46.417035568907636,46.14453689890017,48.04851573842149,44.1232079554118,41.00950274383994,42.426594596521404,42.80323548936045,48.311434636212894,50.834554169737615,52.309504501019155,55.97710388916716,59.65239163792502,58.5587818137471,53.78089449787488,56.28796823069153,59.08757359459753,54.925846645008825,52.780881009090564,56.61234273537047,56.441415817358795,52.353653165684285,55.024869593672136,57.24648616386805,54.54766150413638,52.389388628324035,54.98851679002633,52.1147265312968,54.2348592200172,53.4066821179209,54.18659880184197,52.20095895815728,47.987811472777565,49.384465543807245,48.23806919620244,45.508230385585605,43.73986026129268,46.222750947186896,43.08848281789039,39.58370343951788,40.63035267344792,41.96696309451397,38.73068128982627,36.12879828034008,34.32792511822187,32.53199006424357,30.01737780101281,34.416038863376414,33.13051906271747,36.85166345047557,37.63651113390727,32.785681832477245,32.791481194954024,30.68757388404616,32.238613859904966,36.86159570724288,37.57545865006789,40.951895096838825,40.07955362353338,43.196966097238075,47.44295873086982,49.75315009882466,52.684545667598165,48.99224480713227,49.35543147644217,53.66492993330659,53.7530022975838,50.41373069748502,53.534914733401884,56.98884751668619,58.08733012367034,58.25091568943698,57.537124504701794],[38.99061043029634,37.04787710066915,36.39911534065182,33.532479166019556,36.19367032550109,40.31929600148959,41.66692370180257,46.26261808139934,46.22602907096035,45.911042874329844,49.0985309428516,52.51886176488321,49.90246723888767,47.722251352655476,52.77289659634524,53.69842726309428,49.91426928076459,52.85880009503173,52.037771372801146,53.983886470926905,55.041058572178294,57.296078571005225,56.62586448180228,53.56343222695298,52.39911194782675,50.20458268047634,49.794804678019986,48.6238761696399,52.12552944167191,53.942859754512476,58.11006234817327,58.53822501888901,62.73884220738793,65.0554852610467,61.76865414851254,58.35537927708286,58.01356497854617,55.2917010094251,52.829459274427315,56.75644850899562,51.654379243014844,54.39789752489904,57.933534817777236,55.03687871896493,53.84389086831258,50.39912157773142,53.139124919422684,55.96389951951737,51.75902173532696,52.980224672207605,57.49120808820972,57.5500252884328,62.387160008334924,58.85989606544586,65.07177016234331,66.15020356445606,62.36118208457078,64.19387278451106,68.42743292366607,66.29992098245663,63.29604652966167,66.63162654412531,66.46772555281147,66.2315325115422,62.87536741743492,60.91593027093674,58.178708961451484,57.807594154209035,54.630463419557266,54.89158731997084,52.887368794278174,54.80514266109828,57.939029420701566,59.598531855456336,60.5187206486712,66.11488060456006,64.21248086616947,68.23627852158207,66.17986331928522,65.48967572710438,64.74721177882934,62.331266865603276,61.77559843158494,60.15082908828823,56.15673947468311,57.35464870951093,58.911149334518285,62.11407935932869,60.955210563095264,66.10083885835053,63.83593092616615,66.94480210249877,64.68886854847489,63.95217196456975,59.557406827243796,60.76011837862569,56.64952717966801,59.4640910924345,57.39988752122911,59.79210652117585,59.36207398078625,58.15729332689658,57.96328248096587,55.5551505691814,55.159241965170715,51.18232890448247,52.23503493660866,48.92848689939939,45.93355507001098,48.463861068424436,44.989882985123465,44.951467482333626,44.183484142436356,42.32960775881212,44.0530133016429,41.48662510260146,44.46915527013851,41.689280594366394,46.529376612040544,48.1905601332239,45.23323839619252,44.30435840202191,39.62523692767278,39.46962955426438,39.700959234513334,38.39509927113037,40.18386085721129,40.736143328221594,41.99545974845779,45.79422201801675,41.51680013815589,45.21067342204472,44.36342339626375,48.47267416927789,43.0091783950431,41.6172887823981,36.620332708588194,36.6911782298699,35.72518624634622,39.10120992570008,37.318656847857824,40.65629288335162,43.90887821733074,43.34659615714658,46.83371248928853,48.57720666539039,45.76416489528105,47.62945407632344,47.85928439408063,47.67174277771895,49.43888404216147,51.274675246803774,55.4940050190327,56.35258813336847,57.47974107842526,56.925685594277255,54.143770713311014,53.49176886546043,53.1496129888493,50.62463820828332,47.34824981245157,50.372936522276845,45.353829308286784,49.659021130727986,45.9767024828928,41.051287929351965,41.64802776121,39.128559245870754,36.90528170075501,36.23813627042149,38.905920557672715,40.32784388957642,45.511685303744144,48.93429041514349,52.039057689221195,54.77264157374166,55.14231730872123,59.64295967336698,56.78531262167745,57.14002051251134,52.46157230109788,50.902096508632326,51.43631334888118,51.30956632046999,48.8890903700617,52.021935460776575,52.72019436897408,53.572222365836815,48.85648458602926,49.40087351336485,47.53014646286195,47.72928651369087,45.183016553596566,43.72160341126965,44.01330636446844,42.861142895973366,39.55374227051063,41.697338813421666,39.77293070411533,42.980822138156995,44.14491851895451,46.83338335217564,43.82430117241249,41.09578827093991,44.98478709608963,45.0390857239016,39.14560038299475,41.73380101241731,47.328933825407674,43.67647631023496,41.70847972903127,45.047382540167405,46.66353280726772,42.536429345907536,42.57912034102606,39.572969678565116,44.294269321966084,37.347498872631554,40.33151072551901,44.06301733583258,45.211506184407845,48.23230140883474,48.520558306256035,51.41286322419444,50.30801541689463,52.8787610516328,52.56130575609845,53.04127500223375,50.00524879735569,46.41997842846711,48.65460627856428,47.42592786898879,43.30467392035212,43.20906751558836,44.88008714833583,40.71821089125079,37.87044456546747,39.49823779569422,40.20907344754583,45.82274546676694,48.1776363060419,49.87247452851977,53.63535588170651,57.38739349436261,56.521720015942506,51.7134402937139,54.26428883014313,57.29419966692759,53.33050438420358,51.1031719058434,55.084782539747366,55.17367040930189,51.076074790592976,53.51676774839586,55.98564552577717,53.624067985236294,51.16571970320274,53.541741103321996,50.48457876088688,52.32601029125199,51.40531463727296,51.85286910439227,50.03896897860187,46.04297364536993,47.03586464544208,45.757380402272446,43.25516127657307,41.3616778785459,43.385948833666916,40.354808905708595,37.15274460459569,37.83004525941313,38.83543172546103,35.76578760432412,33.44723789367494,32.17494038497285,30.016310740375705,28.074109281911998,32.66206713621745,31.860734531432463,35.48181073290805,36.821667736120524,32.016458187125004,31.60896242340352,29.04858103708467,30.407998293724987,34.88032265896874,36.03635693811903,39.19287814816259,38.813141788900765,42.11109971889066,46.34009211529994,48.4901161013336,51.65940361737246,48.31451399879085,48.48893483379527,52.757803655316316,53.253900233974164,49.97910538524959,52.82619675888739,56.44891723484893,57.69533386112579,57.849329192472844,57.189345610085425],[33.135122137059625,31.052209461209124,30.237038383819318,27.239412581467473,29.881885336858645,33.96012327841954,35.30330366953516,39.896681255210545,39.91212174217995,39.69659537775617,42.937038527010024,46.27345647569239,43.745981390251764,41.68474028339603,46.77713125055872,47.67184847461346,44.012806897224365,47.16138084776364,46.685815678452734,48.58327773586902,49.93396361040278,52.31314848018246,51.88658159234953,49.02421459345607,47.545831268181324,45.15244301471075,44.47063393516698,43.03605937035596,46.36907870096013,47.982794277203155,52.23733255519423,52.47415609641549,56.67427147035699,59.13994892167619,55.86939835087227,52.584727309383176,52.100108552784214,49.66350614416903,47.31984805062372,51.43798404662654,46.486579649830105,49.2277611045411,52.898386411788515,50.21788990868397,49.34851280150983,46.03425035777735,49.04037026315612,51.50477384679244,47.074899218502644,48.69243096854777,53.049475292707946,52.804262574518525,57.61000136113721,53.80010003206179,59.96862592263448,61.292124405709544,57.47532573577493,58.98809844806574,63.35255433575077,61.54255809337847,58.35331577855052,61.54016878098118,61.17492553435394,61.24196133120885,57.92969134909891,55.69667776418141,53.02403887770391,52.37238566449618,49.31010700837081,49.34392714650542,47.49631649944515,49.58259180936308,52.536300242928014,54.36347681605201,54.999410352421094,60.689923406538014,58.76897769742724,62.663411373117654,60.62032662763039,60.06433847207886,59.12476770255054,56.82822458378139,56.021926673499365,54.56181493556781,50.646282670122005,51.666515583715125,53.35760206215784,56.33556866171542,55.34156563476714,60.340526660819634,58.13005616193813,61.30296517601366,58.926572484101676,58.034498351848704,53.58148065789773,54.792804576623936,50.64275412868335,53.32287503547994,51.170267157561284,53.46597564298976,53.13131068365307,51.87201877738974,51.814614797417015,49.37975092812901,49.211272711714464,45.13103741845639,46.29968731502305,43.12958602085789,39.99441132348021,42.35834552483209,38.7807770229283,38.76800808098298,37.89455285694823,36.168229907496155,37.96647602170573,35.56143900755637,38.72835026335919,36.19272137214487,41.27811779199345,42.60365914926279,39.637119068296855,38.481058670072926,33.819743317092595,33.433230288052364,33.474806377080775,32.21434118187268,33.87496834590409,34.57774137643984,35.95675668587717,39.91585164758856,35.81957862450171,39.70670365505342,39.01564352153769,42.90584913210372,37.45547985009815,35.813416568079234,30.887727313607087,30.843633529686414,29.888285352008864,33.40918922829139,32.023711821706144,35.6976399005985,38.667812738503805,37.83852557599464,41.36633997027487,42.835173501681076,39.926019193443516,41.58359645311083,41.71237088470624,41.395899911400015,43.12154848929057,44.912342074292496,49.13661531540969,50.000740055757625,51.12159305638143,50.578452575911825,47.83957625465734,47.200096647792975,46.95108843493277,44.48314969627307,41.39921181537083,44.537996222130275,39.73002907696541,44.1433030934474,40.74511125971496,35.92626109071686,36.639555081754246,34.53178752247162,32.05779755975633,31.037208480424034,33.56367629628204,34.763424598915215,39.9860379188115,43.28055569306061,46.26971004312016,48.86237498263682,49.146182733347246,53.70179388052936,51.04558445423407,51.402936518214574,46.94212942153117,45.11757394883376,46.010543022522306,46.15274079390038,43.663427180626556,46.940398865380175,47.55501756269243,48.81123981487969,44.34461154912322,44.8715825689774,43.19487549029743,42.97972728635637,40.48849718570656,38.82130401245972,39.07491480650698,38.00309606923055,34.36247979303279,36.46231097222442,34.371123212302464,37.29129287638651,38.68437567327821,41.10517983012758,37.925821376554985,35.43205986468052,39.422568926017824,39.175981774627225,33.27891467778145,36.169479383939475,41.69020616765223,37.81040419575417,36.042863791672104,39.542702371883266,40.899968971964135,36.798416041522394,37.20174302528997,34.20582190697127,39.21424624668226,32.5363177265374,35.27839904671013,39.18583475506251,40.7180423579763,44.07051491753262,44.391144067417066,46.920488153473585,45.7025501860223,48.28282709575572,47.643907657102744,48.50211212712388,45.66254557829904,41.599787808621706,43.88462447635061,43.1912368488515,38.91190711781979,38.484245761190756,40.41192429742302,36.662827739096194,33.44498534674152,34.71517306068512,35.07617101373812,40.5558400979158,43.09295092694653,44.63237287555235,48.274866158441064,52.01565665180193,50.90946318723933,46.12896744731089,48.7602380874594,51.59060975988976,47.47030404982987,45.38897396308815,49.36024924236278,49.309915288863046,45.25876553584169,47.95345160262277,50.330810789592014,47.859163270463604,45.637354096158674,48.20511925585173,45.2057712069949,47.10896920441067,46.058442836475834,46.82966339567074,45.106555561898666,40.77454307843098,41.96301635243254,41.02833247097681,38.368727528918804,36.3033918717746,38.9105595289829,36.05605048315323,32.33595289951278,33.150250237283934,34.80202913516695,31.799863249341634,29.00134803871625,27.199141960483594,25.811226243175412,23.3923113440571,28.03165209308999,26.54730683752999,29.95548274829733,30.981284530159463,26.23463584913263,25.78314041915348,23.48356674270622,24.738404972323405,29.33660469928042,30.075641508389687,33.33832612798345,32.69557497037695,35.98231988088558,40.19056833154854,42.445799428432316,45.49992754463346,42.06939093403967,42.399699490349796,46.66170293438394,46.99160466549418,43.847689318954345,46.81286135539028,50.36567572385506,51.60113534396963,51.73861796118605,51.063803220995105],[33.220716751861666,31.573682619769553,31.47474360168583,28.343046078477922,31.769701812300365,35.16051262142606,36.73392162913902,41.33179558796222,40.96455263903727,40.93454691178391,43.988703691053615,47.403125578507385,45.288423662102694,42.90474768732333,48.048945248317516,49.23182023400899,45.76362619237425,48.96385165923378,48.59090650925821,50.80714559137163,52.17857650245495,54.85043075555843,54.34225755964324,51.57267090582776,50.172900828868336,47.510025103958164,46.9490697083918,45.28303685415349,48.46563924490989,49.99621864791413,53.85677549111702,54.28088145884617,58.336975476958834,60.93861837139009,57.88760049678965,54.67828520591312,54.3519386787499,52.15510956919204,50.03163296072468,54.4862691307854,49.476906335438194,51.93953458665271,55.774916037100795,53.26741146268475,52.41521320432841,49.26157783248803,52.37511177524057,54.78032440249483,50.42284071295619,52.31938168486119,56.645583670933746,56.227209267196635,60.960585152987086,56.99924464661303,63.17212735572478,64.47169601743354,60.52850892918922,61.86064860171619,66.2673723096349,64.53387961787091,61.09077124225774,64.03254837605412,63.472385834042186,63.487698940400996,60.36322319388718,58.071630363619825,55.03837713298217,54.260579447851725,50.919886095535304,50.717326824134226,48.75333953026018,50.58995057298018,53.754943787032445,55.86672302835007,56.62036570589027,62.38369743092302,60.815155059736306,64.679372862256,62.88274917764308,62.59945755348735,61.71109762291986,59.69294014367247,58.785158608087904,57.59075429516674,53.694575561739434,54.40374913935001,55.98230428564176,58.78054949990912,57.609454939718795,62.39875712237606,59.96621918068068,62.90913374729074,60.392158962672916,59.45387694616026,54.945671856499956,55.860965070317235,51.66424188815008,54.683452576837446,52.54000845036046,54.815934672815494,54.90788978150159,53.80903636832336,54.04980137585323,51.733495313558706,52.03134906934558,47.79811473628335,49.1069386082904,46.1345845031267,42.755039878665585,44.86102212592847,41.05842357055091,41.16107615576099,39.857598055533145,38.36122979854294,39.839244271152765,37.59460750276734,40.749202849438454,38.33431180064149,43.22481578579545,44.36348611123599,41.19944652956532,39.96876075597236,35.45309028124564,35.12300743781972,35.078479071460265,34.41550978723422,35.89603467844817,37.07479398880462,38.68687355217892,42.89239497781387,39.02028703320131,43.05747758084137,42.56854823444761,46.24251415089479,40.82591486983837,38.87163621553729,34.11802982116589,33.78619264452694,32.574472642200746,36.14625280765632,34.684684877053414,38.5502004643689,41.28693502594979,40.471422761890736,44.1087677326697,45.28005202289897,42.324408519859084,43.79793820281323,43.969143727455254,43.25796308661574,45.01771918868899,46.35850939009791,50.703833332205534,51.1665370689978,52.27757095365222,52.10437903097894,49.473242340397945,49.13710015186146,48.99055008423004,46.89450296384051,44.090511840204584,47.16411235942879,42.58851638638685,47.14355223283818,44.10167058753916,39.31924646836704,40.31066221736659,38.40377590389,35.9212787214922,34.60109310517192,37.07213397026163,37.964629280674735,43.21739791073379,46.37733447809175,49.17946321829556,51.63413216411625,51.62186520930888,56.36123497664766,53.95116989751599,54.41580577012416,50.18541266753964,48.16757595818686,49.449544072779815,49.79956992089663,47.22648285036685,50.46952213614263,50.85644579534858,52.41335979823103,47.954245652504866,48.682531261680275,47.17263518163535,46.806789123634815,44.42914628151673,42.68527955003521,42.91635800141778,41.84475272146253,37.99380446500293,39.93187116804725,37.55464930737654,40.216041271317074,41.50980476316277,43.66908548762453,40.40145962650888,37.87448496617333,41.72225275419873,41.16883429147964,35.14749768693927,38.04014761473031,43.41184752968921,39.17563533106841,37.2788586850123,40.699871303180636,41.88739052386232,37.51563544629421,37.84749668850828,35.10965475116121,40.1427730291114,33.82850104214265,36.87957210819117,40.69679830529242,42.60153178585424,45.660399455345186,46.388287839894815,49.1405890620793,48.21869151989887,51.009583204426946,50.49809783233838,51.59084859127508,48.60265378917888,44.49297724015318,47.04893039939812,46.51266022226371,42.08982206905196,41.761734368906644,43.97568395265777,40.19236000847461,36.80501499007685,38.33078177810281,38.22993052452433,43.80756365679985,46.33505189071138,47.527408567416344,51.19691178465112,54.73992527212355,53.640500398866614,48.85865815720309,51.19961703813083,53.94050069707613,49.75767449620667,47.541654252860916,51.2796310792234,51.046212592011386,46.94401517451048,49.638999380894184,51.78822383225248,49.023773502457395,46.91529926274109,49.575404644534856,46.7635124113712,48.990861256006106,48.231337229647536,49.173537652434476,47.087075373942895,42.77729813454809,44.405492506550054,43.32524435873412,40.462963086362564,38.80251502459599,41.58526961453289,38.39640581034727,34.67879083447802,36.028272883071246,37.62060482307509,34.277668099440525,31.433704202173722,29.28151968161309,27.808112178933335,24.941638742642276,29.260498324632742,27.708949010289718,31.442657787281934,32.11322262277682,27.251344383714322,27.37713924005099,25.428863305019505,27.15400940025473,31.810773650354257,32.5219213742093,36.08815947384918,35.18792081222385,37.95621154760103,42.288810560559654,44.52898170843527,47.49850234559015,43.70880936508069,43.946782737185345,48.282234497667844,48.432099091912164,44.943140384861785,48.04174857557889,51.509931197448836,52.60344771735357,52.79271849999926,52.109891989710356],[35.53328278329568,33.92650371296147,33.92191465209165,31.392337918383813,34.816545023440284,38.544101195168835,40.44011740748909,44.98266453527088,44.99424540697339,45.26667017940147,48.43869751546781,51.656373012152045,49.630660816731485,47.52426252610402,52.69826130945332,53.7488306473507,50.33523020174413,53.66620038688474,53.4118761871677,55.415938881027614,56.87302155245729,59.36281343901828,58.95785068437346,56.13512942763629,54.64165540526052,52.143220708624305,51.40766625587502,49.78709540632416,52.952625324296626,54.3390943187594,58.50353907116467,58.612197338174916,62.7400587899613,65.44465810051913,62.278374380679445,59.14459269212851,58.54610299324955,56.417120339641265,54.16518948342487,58.33397522585801,53.50252630585768,56.24916585979265,59.96910423982479,57.34282313055579,56.52676134980811,53.21246531160818,56.20982582826721,58.661204392049896,54.17341686875056,55.74433502763153,60.075189076811895,59.83797448757294,64.65414856338502,60.79134923923201,66.91716598209764,68.36726290467772,64.57127487960425,65.97659609311617,70.38877190177102,68.6735119938195,65.43858835717995,68.54392744911314,68.06276741498631,68.204303400437,64.95987995911862,62.6377754628892,59.85989304755462,59.054224831264804,55.88797665133014,55.67758416690111,53.817114876612685,55.77388110989145,58.82412170761729,60.902368536449394,61.499598815290504,67.26844485480302,65.5105485854542,69.32245469884555,67.36688163799067,66.9369181225755,65.86154811468074,63.62398313192247,62.5661640011814,61.171420123316594,57.36745416188767,58.32958684775899,60.16077197030017,62.93203096842179,62.06048173395967,66.88582288664246,64.63240638354516,67.72396405331126,65.18425149602362,64.12921884018154,59.58252037500372,60.57088408290854,56.33694692487756,59.09619886493051,56.77858650622946,58.738049806933084,58.925743841647424,57.41768074204557,57.80446704372551,55.08914823693421,55.12049799146676,50.80703220519061,51.68104070931612,48.53972693710579,45.17578370900715,47.612207799679425,43.981792842257455,44.51008541603552,43.54132597871357,42.25226140200467,44.140797819495454,42.00119452918541,45.31314293724373,42.97052153461591,48.06110344115596,49.15809373470515,46.07797984417955,44.730989745150964,40.17999583713201,39.60737171107712,39.291586711294784,38.28087120208904,39.24833822729754,40.324561254519004,41.552903028690025,45.711521616209545,41.430948655145635,45.18253377689436,44.90846653339943,48.845026723526985,43.62419954820847,42.066668765382644,36.971693912061006,37.28756518461785,36.516243554734714,40.160964097987886,39.025131176008394,42.81124796189734,45.67059131494045,44.7152410634119,48.25768254872714,49.508374289768085,46.511862523914935,47.875784916962274,47.7708752083657,47.1059697619747,48.49786805737521,50.00434291991398,54.071917452673,54.48410247413363,55.99801776478103,55.817314218505494,53.367397752180274,52.740359976874416,52.87955451707007,50.388836628315985,47.711844336148424,51.07932978060252,46.479294112639316,50.91928639017976,47.5773621878387,42.84758692547116,43.34061272651485,41.29410518332358,38.61196716306352,37.75145612221015,40.10913414477948,41.39647531244539,46.58323527112315,49.78351667575335,52.732935178190324,55.114331996538105,55.4359107967395,59.957320072101666,57.53658700996087,57.747475966717786,53.459359018897544,51.27336760280174,52.24170434513517,52.46411391827333,50.145004135205426,53.68128242131699,54.44345767954957,55.72130244554798,51.36304477443917,51.69651360027735,49.870626923000884,49.603737517808376,46.8627945935769,45.00416576887908,44.96218720075739,43.490473612930046,39.85681379865103,41.51401433772081,39.03423773228806,42.05972917896103,42.77330958819461,45.29022541927115,42.35325575189609,39.282226819078794,42.883357849438696,42.82719993209302,36.802741536480035,39.10941271594356,44.58927702154522,40.82128498055373,38.55674911048807,41.687777342631335,43.393051286657425,39.097010969802916,38.77721758090849,35.95406577835456,40.50233634541654,33.781446697969415,37.14084285408436,40.70130209901043,42.13796654898943,44.782324641940136,45.52255758405269,48.74170660054736,48.050731124223276,50.92591741956274,50.91760406231129,51.66379630223369,48.329497186398314,44.79356084146529,47.4846959541295,46.394262584674,42.0346375638763,42.22240590976126,44.39692325412854,40.05121954856451,36.9367666258722,39.26713301252766,39.183348433254324,45.14274938114308,47.33265678296744,48.4707667628956,52.38497339232787,55.79842054721676,55.16826644973032,50.313481589137865,52.32034932400812,55.40234080842443,51.52197479868313,48.93698494013659,52.63358485953926,52.65466857825652,48.45613120785276,50.67077690520651,52.9787832860497,50.46322492481975,47.90622842625924,50.23471268072148,47.33175594450115,49.48434049349681,48.986259507956476,49.49542604011278,47.19185076894875,43.376111691018984,44.835166976723954,43.2397049828484,40.53638923449333,39.23447798663877,41.328063681483705,37.811342926512516,34.733813526730046,36.12945920315746,36.94100968223315,33.385474258264445,31.063671904750564,29.50521569836125,27.078773302985454,24.775593415772203,29.011351749654953,28.459625581644595,32.46987855250386,33.795094320145196,28.8913943091847,28.978514760589906,26.559373247379526,28.559132760799063,33.008644791132426,34.58909579137336,38.14182840545147,37.856098591494515,40.28444883562682,44.753037188684196,46.65729073044058,49.97464503764642,46.36298068755035,46.09481861215301,50.44935964436867,51.14065780646324,47.293111430514074,50.02887039632272,53.70298002755925,54.881434358079204,55.13471209134342,54.545688135057134],[32.720791783564124,30.76582912354616,30.2576714087917,27.973324465776205,30.923770404283623,35.13987962993353,37.01466640861004,41.51328458952148,41.92166076079816,42.2534223267336,45.59454364894215,48.635885647462416,46.45667962373669,44.718432081600206,49.87332529331377,50.68387732092318,47.2669069201349,50.713715213045866,50.64037737608922,52.34243413873171,53.97635764282986,56.284409087702244,56.103556095523004,53.335903153281954,51.59683753084898,49.21948207269217,48.19953803462556,46.59081655224975,49.72031646856086,50.97856566962211,55.51731595809898,55.292393870318,59.5184031200581,62.25217374147659,58.932305764273494,55.86691600002725,54.9969707644341,52.924207433208,50.5767353820933,54.52532050153786,49.91138166548832,52.906985446167404,56.540596073509185,53.9073864443598,53.28353667785744,49.91338201151942,52.93248483127843,55.21664334648224,50.54169808908821,52.039740133898945,56.27436354995893,56.037513662986484,60.88387361102949,57.006707006369965,63.05847421350269,64.70988334832198,61.04326222451978,62.39566210964611,66.84084969495053,65.27247902293236,62.17385834967758,65.38699439981015,64.93861662880249,65.32626551048332,61.9652721377258,59.524475552125175,57.10143632368686,56.206065072322374,53.34607263600166,53.14394476288651,51.485431092130945,53.71807607324681,56.49033636531466,58.47189980912955,58.78195165965614,64.54169879102524,62.50033557487332,66.22542988613503,64.07954041751628,63.51140691955707,62.23070268479586,59.823918896440205,58.63556340971647,57.1064995824436,53.38885712423825,54.52319249786764,56.581919355813895,59.30983641513685,58.74911851809561,63.61124218861666,61.59359609753027,64.90176247588097,62.37952577720474,61.22876885432838,56.6835336959692,57.87872096225586,53.64992110855052,56.029000921399245,53.601395449844574,55.402951185192315,55.416241339548286,53.63766537891823,53.97393050792303,51.03481980112163,50.818026538173335,46.52381214735119,47.21213348050545,43.97851826823931,40.69702144436657,43.309642609971064,39.83172524427009,40.473523480888545,39.827329787510784,38.57300519956755,40.83342433027125,38.75520962649063,42.213533951502185,39.99268153312391,45.36262326029338,46.353313355712835,43.431711649661196,41.96357642446757,37.36461685818314,36.53764685775229,36.05460117154997,34.60819821904442,35.38303734724056,36.229508860490135,37.2289769679333,41.29665973511328,36.85163345617828,40.492383232800606,40.28106161167743,44.298871502037684,39.17853633736996,37.8282480348374,32.58209446876764,33.267292452605275,32.838954892106294,36.5262868484175,35.809633463749634,39.60597182970695,42.450251301980714,41.28871230720148,44.724165149782046,46.008293284254876,42.989077646196506,44.28561229148988,43.99214505357032,43.50296520515568,44.70672383946005,46.512848260682325,50.40061215249327,51.04498456263019,52.69866980539616,52.294605862507375,49.87566337329773,48.97003671773736,49.20608041382869,46.391329436735454,43.72735596153159,47.29103415559056,42.703356179110074,47.04533997458703,43.571486366953884,38.950130717692296,39.142850719415975,37.18696511210738,34.30993131548489,33.6196041521167,35.84480236182446,37.325564963727196,42.442375673692815,45.637945703645855,48.66829796269705,51.00927436181018,51.58077532191659,55.92332136279092,53.47820025987898,53.53184223196365,49.23177775713616,46.95361139597291,47.773946651528604,47.978324388173334,45.78205972958047,49.51333840876701,50.49987654019374,51.71652226862146,47.56833142989405,47.6171195441031,45.69459732186229,45.32005344128679,42.417915669699404,40.44931928201025,40.28591730337424,38.70601175725564,35.112402739777465,36.709182765471716,34.26489451758981,37.411913287161354,38.09230252938202,40.747287690056936,37.8942003304112,34.774074572938936,38.43129171721968,38.57477224923124,32.623445742968734,34.89035881715196,40.47048123150733,36.95810679030488,34.76000210496469,37.94609546460643,39.790948646519986,35.704012721153845,35.42376867291929,32.39333968880212,36.953120450194454,29.974328542540228,33.104321221466094,36.75826032633524,38.01748775256819,40.94005730395165,41.42423184697832,44.438410148495386,43.55780924236971,46.33494378128663,46.230215490609616,46.924221941837295,43.675807452927344,40.08818387909257,42.68817042144072,41.60878805417046,37.26416570665094,37.38803091128217,39.52255574046735,35.22394451764049,32.09605069643683,34.38609692539139,34.37719770386339,40.34007534637019,42.51123554813174,43.75424295897011,47.66905147859049,51.15583180277388,50.54706949633143,45.68571067031639,47.80405242013371,50.94692371568589,47.122769269440504,44.577172983842786,48.405256789476475,48.55114207205131,44.377155181974125,46.578709758503365,49.03948323575021,46.733016530979796,44.08622205139325,46.360840206722806,43.32968638132182,45.28148570886455,44.60397042970227,45.04247027823857,42.953998965703754,39.08606705155322,40.317398249153,38.83450230144197,36.219305066789985,34.6781976616234,36.757893375176316,33.43583843276008,30.26471742528814,31.42411488361324,32.368423400152295,28.98160033400531,26.57914363982136,25.148242757629674,22.859484817211285,20.756342824221743,25.25115357306314,24.686923506885403,28.483964166750553,30.096309090442077,25.270045315134954,24.96027572621415,22.282216112171522,24.064464702173883,28.466579689426894,30.17284727370348,33.597206984386666,33.56015534738304,36.144235179415695,40.56925730646675,42.41456207006533,45.84023416923032,42.47253432028135,42.16924804961234,46.47658853392679,47.376266092496046,43.700176456306366,46.29240925872184,50.04731231020865,51.3382661113047,51.57068276634631,51.01495463304867],[29.307287366171806,27.51373501181492,27.338896894754626,24.7872017342411,28.23676389124341,31.962933009757574,33.93510267360472,38.449686838834225,38.610022166682825,39.06645904725137,42.31316176907184,45.379272272250525,43.47416084522635,41.58123615631517,46.7782383383449,47.75345240891149,44.50891715597038,48.06970737655235,48.21906407278118,50.102676045714624,51.882631020279746,54.44189748086903,54.32216756471857,51.7229940014417,49.88913977299435,47.23959712299357,46.17737375794948,44.295219903139525,47.24549248875499,48.36836092244688,52.67778174956984,52.50720198740744,56.637685302064305,59.50719493625263,56.34156623358307,53.37707654165893,52.568014863738995,50.773270432640686,48.63902594473331,52.92206568539831,48.32857768132187,51.10888829377523,54.917236864525606,52.51673446746722,52.05952238063326,48.88155482449531,52.10597444001554,54.165726247558574,49.45511179968946,51.36773687995241,55.49984757700962,54.97805270611441,59.743988523284,55.62630714334043,61.658964883123694,63.38725215404908,59.614024667987195,60.68892147411835,65.21531689314065,63.84608219372566,60.48080441379206,63.44887469669912,62.77675157884648,63.26706637751613,60.05835786063089,57.45562736039325,54.82781303670393,53.72383417242329,50.748715256169596,50.29795623483735,48.6472270193331,50.81102675798597,53.61332444021598,55.83965375010453,56.08956085659039,61.92785049401199,60.106985327460094,63.753115811993545,61.78148096012058,61.46129893102209,60.14372884088071,57.99833115093907,56.652898864879376,55.4010821760698,51.72255851963273,52.53719962199298,54.55401814359482,57.06485647261753,56.43822883660852,61.09485261125618,58.9535709398528,62.13889032969317,59.4826027993036,58.24378861198882,53.6460630612767,54.66806914660501,50.40031229835725,52.93547781198343,50.49293234037737,52.28115661071515,52.57551466765727,50.929284323515844,51.48667149092307,48.67388271339882,48.903204008779035,44.48013532524361,45.39937264601313,42.39271694663421,38.88381061448199,41.18515819623271,37.47962507402945,38.13261166747108,37.11534237140093,36.03999567009017,38.09222055802626,36.18720840439331,39.709470171513495,37.68748105357025,43.03160864572468,43.74145978877813,40.70173391348287,39.085684373977486,34.597856884490646,33.70296051285003,33.092902040988974,32.076326065927944,32.74180513713384,33.98250028678688,35.258621762163784,39.57113020027753,35.44810315925652,39.338123807753135,39.286380411126046,42.99578262509544,37.87249432587501,36.12616062103181,31.100129445238963,31.429381979144633,30.786750227525026,34.561086710506935,33.97036926598526,38.04719581933527,40.580079832806454,39.31064419135185,42.835825139494716,43.78783603646921,40.70272864763468,41.794507719187976,41.514604066407195,40.71435394897803,41.973954678713305,43.46456040795621,47.475611634646356,47.896656599061885,49.47913665020504,49.29573024951295,46.93217552403138,46.25735662454374,46.55687679365637,44.05821176131202,41.64383178849964,45.17515180074975,40.847653082616986,45.33990274753086,42.2850851780908,37.744079051478195,38.25505271291024,36.66413861427414,33.71028045856563,32.56739529406353,34.69715202334813,35.79732453133636,40.95177360601184,43.98681913172493,46.81501870084568,49.01194569216609,49.30482341318014,53.81930780406214,51.626228561200456,51.791190992972425,47.75585403973845,45.26109140659498,46.560529362148245,47.05118384163712,44.722489743687824,48.43969103243015,49.176495490429446,50.822505220472735,46.79006198224672,47.02774997568184,45.369885770621394,44.682958197995305,41.9613360891965,39.8756983815484,39.74141806596945,38.301048325877844,34.36690296888034,35.89883373376316,33.215096770367545,35.95762102412047,36.82616174120523,39.0926580152729,36.02064978274562,33.122470804119935,36.800588858525906,36.4789861050873,30.43377164544505,33.00215829792938,38.433820553519666,34.466199848175876,32.36621881738336,35.66589140882948,37.16107079017172,32.88835575438981,32.899252918749646,30.03992864968012,34.90163249186532,28.385859045246203,31.510867519264238,35.26901291217095,37.08880771402532,40.09955038149448,40.85423250062204,43.695542970225375,42.88587526191994,45.77169088416366,45.455942255399336,46.574326472291794,43.43147467704817,39.43118281884836,42.18725570585012,41.625673711385744,37.11179307556801,36.99268001182333,39.43976736347182,35.50388855256882,32.02291939335624,34.06867129769357,33.57612000032707,39.4247479970665,41.759739671039554,42.716103951561756,46.52425959966816,49.910322638484914,49.07649308729156,44.24632307608044,46.30255866885221,49.21103824836576,45.199039674811665,42.725403267615,46.41758525732612,46.32396166605819,42.156954858983326,44.601616519196156,46.84367805251917,44.243943366275474,41.88266737334889,44.39389846074698,41.52601248130212,43.730765604576916,43.1040937851989,43.921471079808434,41.70797247103728,37.556132126015925,39.21053854385159,37.94712002053802,35.0815421028834,33.62181961717522,36.29551935853303,32.95104551859418,29.342217379999784,30.913365273995662,32.368666778974564,28.87553095153066,26.050761543119684,23.926570708803553,22.291670560474383,19.44039339293452,23.7675961847928,22.509199676613065,26.357563877595414,27.430145879185623,22.535497808506527,22.5888503310008,20.393945369330503,22.38510408175609,26.948206714886666,28.216976947972384,31.899792618567872,31.434055623527243,33.75099361942511,38.22416120858598,40.186510896143275,43.43407096904658,39.7615275115878,39.58217232146126,43.937991328219105,44.538751473402094,40.782432705866235,43.59666329267005,47.233688803107384,48.42430071119739,48.66839453917704,48.085168331198616],[30.105282322382784,28.78532106177039,29.345365644660333,26.972560720841184,31.073472832217202,34.24785537556823,36.536779314346745,40.98309164666119,40.95389004942816,41.70251279128296,44.80811509623374,47.83513756438927,46.3529676464014,44.306841083889346,49.530997226451476,50.698861481579975,47.66636166594797,51.31430806458177,51.61309411286146,53.677657878796666,55.51483092670402,58.25232190572893,58.11485161304996,55.58588655772603,53.773440064103916,50.95769560919311,49.926623894755075,47.86510330444696,50.660178912911455,51.64140437161507,55.71285362200316,55.569996355811256,59.58508799664481,62.614854093435476,59.60762131201744,56.7560655549476,55.973889461292394,54.43247012473815,52.449982678490535,56.90745714137454,52.34695467222426,54.99071781867762,58.891520341852164,56.606793091125375,56.18810250809539,53.09085059906755,56.36892029438477,58.3835121245537,53.68597641510675,55.723890542535464,59.82380304210498,59.209330329910514,63.938848994456485,59.72312238864858,65.72664991772261,67.50073773232567,63.681777779689156,64.6133219256358,69.17610338559486,67.89605228327602,64.39100208585494,67.20230942538001,66.38159767891418,66.89396068512364,63.8066751834876,61.13202814742102,58.30376310937066,57.07026271073092,53.94025168083795,53.27357885609981,51.58072124885642,53.57665074235372,56.49351245618791,58.95672028582358,59.227395836157626,65.11890836315204,63.532666755594306,67.11510435635462,65.3006936702479,65.16757557323783,63.813612112194015,61.83670200306841,60.33903148407593,59.25210899744608,55.64009861720323,56.27135521528113,58.28700223258477,60.61333978205792,59.96073219836629,64.42659288737465,62.173374864616655,65.21139607280399,62.422360245005834,61.089650436820094,56.44271036091973,57.22801105625054,52.92130019583087,55.628954612941754,53.12950905022792,54.75179214807414,55.47494727670523,53.8119021535385,54.698649260069914,51.84762237175331,52.396317547007655,47.82979707094281,48.70544656658155,45.837208472135636,42.14284626572405,44.31236406335098,40.501889492098364,41.41576323999171,40.152006158728746,39.37010064273289,41.2846583666508,39.57667835592391,43.12900836621496,41.25136197338752,46.4924442943495,47.011065924205155,43.851312604836394,42.12713004205329,37.78449762301766,36.84862703996106,36.06209157562674,35.44276948529144,35.7476685191305,37.359764492279496,38.687517701440434,43.16301011014479,39.12777461676553,43.01491151261304,43.21598156342095,46.8063845628323,41.81288666617131,39.950588186688194,34.99537251383091,35.29964699839022,34.59866697826602,38.41124414055166,37.87310485984661,42.06660989684229,44.43972110034602,43.13167833995943,46.70007674204255,47.41859338901975,44.29263018162481,45.172271659641524,44.82296374565327,43.6938107239961,44.82569409999693,45.962813979757804,49.941679519668796,49.96867456424302,51.70244083145493,51.855494507127354,49.68094568049827,49.166105511758296,49.672872901394555,47.36729706775843,45.265003249055525,48.83525210292876,44.72176508735179,49.27576681864175,46.43127074287121,41.951443054411975,42.52462637919573,41.0564415170218,38.043605243729566,36.813302387835385,38.851689289642756,39.825166017464205,44.95485449672874,47.87323207101888,50.57866237798657,52.613206476972664,52.77015938814624,57.343629209655575,55.37896628683817,55.54075455536862,51.706744670846575,48.987416463515366,50.51268657482054,51.140846956659495,48.83746939456727,52.62152844353144,53.29652562564396,55.10122540395591,51.12520941586428,51.38924259860024,49.76745671191824,48.98544594512446,46.2441561734908,44.06181620585768,43.817634640879945,42.25166490564885,38.243354055948174,39.527929882559405,36.5812942879758,39.18842382528444,39.7465058693318,41.874835984305065,38.875067573632016,35.78052044799806,39.18594210945719,38.762780756051065,32.681662077740285,34.98711046578496,40.25008287712978,36.16452688584657,33.819332812913075,36.885258084646516,38.40405280704823,33.94596971073381,33.6172773417472,31.020837558801627,35.6522132916432,29.436730578928998,32.944275743963516,36.46817749319176,38.470902767327665,41.016543265157594,42.1731584399535,45.3712097611359,44.94249393031137,48.039480076531255,48.02522932194463,49.23991998885719,45.85895168834991,42.04581182228573,45.08376976603685,44.48824898814712,39.89821476739405,40.05010309619112,42.725884950106455,38.60950964860461,35.10321365096165,37.62505198073639,36.72702531124063,42.74200712462979,44.92928085441211,45.53395562625811,49.426505009230105,52.55375504169836,51.90394606589038,47.08003054202234,48.71954566164308,51.64994478785896,47.721296460337655,44.99898853438821,48.42184603958736,48.25123318492775,44.03152376908162,46.27175133278989,48.33736323455895,45.57086275909257,43.16209214970664,45.616296111639066,42.92061162747338,45.39700889769799,45.15523526209955,45.973597803834124,43.34486117427259,39.43723259707126,41.44033651165898,39.86348106577541,36.888409258901774,35.97145750836394,38.53885447999175,34.795890535658245,31.4705289531824,33.548381945572835,34.66192782350697,30.81398713324838,28.177765389225673,25.96904201984109,23.941088943988866,20.920148472444517,24.76064090906764,23.859683249111892,28.06166388894565,29.02095696507117,24.103939248747793,24.714044244767774,22.7472730678192,25.22703016469153,29.66399511337701,31.197702975931254,35.0944428691638,34.62576059621395,36.311161374682385,40.89642865838052,42.694345581501246,45.97183509840286,42.06602354895848,41.598045651134086,45.99011987547583,46.63508153006133,42.43738240015854,45.205904996614024,48.82114489649882,49.89851349289529,50.217467969021726,49.674906205661074],[30.973528896818365,29.31783270017922,29.369516282505387,27.740154803143156,31.205266831608878,35.164052486870496,37.5809898266216,41.92198445332011,42.55505665351901,43.47679295637519,46.815288178802895,49.56079370417663,47.89913613811881,46.38414447882247,51.57453716827151,52.400333342221124,49.33744922439949,53.096797246143396,53.51530475975596,55.14227276422954,57.106587295221765,59.490867375361184,59.5642258640335,56.986848167720666,54.971348413004016,52.457939384481556,51.12220839537445,49.210156645393184,52.02855303988885,52.87118348085702,57.50371392659654,56.88215081539205,61.047114657294635,64.10225988710499,60.847747147967844,58.06461996113089,56.87806372692366,55.32266575379371,53.11255273895521,57.082095259967645,52.812043053290026,55.89340596606501,59.579687944390386,57.13894221777824,56.83397520820041,53.54025743658615,56.678454719237955,58.66295478627552,53.76970486021688,55.398794219980196,59.443016578284634,59.0437237375735,63.85915889346371,59.79288918722307,65.69662053020531,67.69408262740356,64.11478677524633,65.14848171654013,69.70214580489917,68.47962099894856,65.31371259631995,68.39511002673058,67.73709407584205,68.47716495494633,65.17344832177778,62.45689002909727,60.14419347172605,58.90959163193329,56.1743484125874,55.61439563367956,54.13777324965572,56.444525989060814,59.063021247520645,61.32274681969967,61.30151037965631,67.1480838461077,65.13787358043123,68.64518612570312,66.51775800952717,66.09071812441746,64.47529367804582,62.13568273452926,60.49819767879678,59.07931149965551,55.595546506449985,56.6371844780827,59.000207005887184,61.3491105143534,61.15535428916844,65.7425694530675,63.83942084639285,67.18361662244355,64.45440298647553,63.01371653031355,58.376835318533644,59.44395123991063,55.14624371874171,57.31921358175415,54.637773608384585,55.93562436201747,56.462171593204445,54.27275311582315,55.12622708577223,51.79832723748146,51.80972075322071,47.270043226336504,47.61547164159177,44.497002321437364,40.9732628458974,43.60647573364883,40.1396917569519,41.42091364084239,40.77978706723291,40.09355340539407,42.62542736194348,40.96724903698058,44.68423627544095,42.87043912875212,48.43369487924405,48.960743273636865,46.03090307321566,44.214328746672905,39.784304584782205,38.544136986367256,37.52339389757146,36.1824223542557,36.04547256710571,37.2492370134586,38.03109618753667,42.2895186553691,37.767957842973566,41.25936222408494,41.61865128184945,45.52260537524281,40.78117891111818,39.48890481103241,34.16351617978503,35.29438196159126,35.214423639490285,39.04471657580677,38.97853068366279,43.00474573224789,45.54483098252345,44.041633491351654,47.41996796261135,48.33383634042477,45.203840798124496,46.036224995343936,45.36031733307987,44.52503854547513,45.24217509289429,46.84832249696673,50.433065740718,50.708463444141266,52.838978108953455,52.71343787631794,50.66549004741058,49.65114635026851,50.392815319559254,47.46508791992614,45.37849156133193,49.28393705607466,45.091999195119634,49.42060533498073,46.152375261402355,41.797845741322476,41.7106725172124,40.123829469571724,36.88440432045933,36.23616775434587,38.103691582500986,39.59583354696289,44.57829770136053,47.55495820233118,50.4758075437897,52.471622139488105,53.14405211957914,57.3552040790929,55.281370835939846,55.112968139263394,51.15846387537218,48.339572597148376,49.372577837106505,49.80752061366476,47.828787077863694,51.94355430488426,53.11653452393617,54.544521651738414,50.77855204613202,50.50596897043585,48.53224978960523,47.82878857397181,44.68284910931931,42.38493342338358,41.844761183314475,39.87967489582952,36.18749311923392,37.211724952680825,34.301993860404565,37.371070018329775,37.406866371344684,40.02194049609432,37.423051355597174,33.834524490173195,37.06974869370393,37.34046839877385,31.392372091387173,33.10373368978815,38.55699652320644,35.22003624941594,32.63982185192799,35.47867402466798,37.623320363250855,33.502365804638984,32.6204233353496,29.725421281583916,33.86095093008709,26.953636978335766,30.497436260403937,33.852888767585995,35.14783859034671,37.5642605308753,38.43793203825625,41.88646891694656,41.453199816070786,44.49751899573601,44.85281563203558,45.636337062154844,42.03439739347437,38.7565438994944,41.76965733300009,40.617277644906174,36.156125945064964,36.72826345679856,39.249218469564745,34.66943754386762,31.47487315253695,34.65240994101661,33.94446661710098,40.23964158780343,42.09619963969429,42.82061470499147,46.91265948944276,50.02729497526298,49.81185080511747,44.93814766425774,46.43879826783106,49.738656711262976,46.152499114951674,43.18118916805992,46.718926482962544,46.923046460548775,42.66686675955898,44.451171200316345,46.83593318421681,44.54581111422453,41.63625025909132,43.70594202828093,40.78060641446813,42.936269704590025,42.72387344464029,43.03114124651176,40.46215755614001,36.99280466350922,38.53581059313416,36.58718169251716,33.89550571454555,33.04689702522244,34.87490954556794,31.038362739733557,28.297388478253648,30.10753634386729,30.54632010308293,26.68978853075328,24.551492101925113,23.154258240034913,20.25053970832089,18.12319695694439,22.144256928516988,22.30576812553396,26.47801136791997,28.373018895571274,23.580585919002747,23.67688637409739,20.995116385431665,23.42006730926613,27.53915222098109,29.9594465791934,33.62368852446568,33.93826947343659,35.58326604136396,40.186156569086755,41.64627758192651,45.30176846061195,41.855720644272466,40.962948410878134,45.289168032102936,46.593551824085345,42.34859825609797,44.643240066697686,48.501033551285744,49.77371078123635,50.11530090202818,49.67706765619433],[28.107503825251136,26.08551276121526,25.61578417934451,24.00092083329922,27.04051319356036,31.353304594027552,33.650824349804296,37.97749894973228,38.83975182914727,39.7114468245915,43.15342861858418,45.80906660702842,43.981466582130516,42.697640754311934,47.8473255031239,48.50976407058199,45.43022156434674,49.23373078875789,49.76020714151706,51.19875591635905,53.2736298892912,55.5586493510832,55.780081434160884,53.27377512795657,51.09547631073881,48.64119557875816,47.12936174819843,45.216558393472646,48.00167211837243,48.78255880680325,53.62390303300864,52.830632618502406,57.052237811030984,60.08751244784761,56.74543240626657,53.99459138563918,52.67408327739613,51.142897730247086,48.89792632504194,52.771174958803265,48.63306285162129,51.82046705219777,55.466557854897395,53.062762376524574,52.90360158859827,49.629195333077526,52.81390293929149,54.63897042983514,49.64634774919913,51.321666342355215,55.27732619044386,54.81709986902847,59.621377754115386,55.51601754390609,61.37076110644973,63.47707341734507,59.9580376220411,60.92574919356106,65.49510923931975,64.38268085116785,61.266906954679015,64.37626338920319,63.72561114822915,64.61729764546425,61.26389240114497,58.471056791276425,56.37487034486391,55.0836064629914,52.55173666428017,52.00989151636026,50.6707089682198,53.15789103289052,55.57407524513397,57.752635994376305,57.551616677276655,63.370625617951454,61.1950191291756,64.64603335745616,62.41681587234289,61.921787940970674,60.206390869687894,57.79986988656659,56.10786883054037,54.64284554492396,51.20293791949785,52.304026329649425,54.768867310857544,57.09234665883734,57.053784548787725,61.65876887898915,59.892577995074056,63.36013533464431,60.665366005649936,59.19153434791399,54.57727206929708,55.794502445370945,51.524132570129304,53.45934888789292,50.7491632100809,52.02608941823639,52.36148420463212,50.08268664648251,50.8359246280609,47.45194027983728,47.33929543539547,42.83396977588858,43.173942171617554,40.01994461352043,36.54079257278962,39.22818983753051,35.823218010181385,37.06837320280327,36.60414898853331,35.88780387192676,38.61514983825028,36.98802508575102,40.7707012374683,39.05275477821809,44.75934610581419,45.20670340910441,42.39991161306115,40.52481169238381,36.08910490646423,34.701449765857305,33.610348605930945,31.995026327276427,31.83107336587007,32.868134612067735,33.5756228504691,37.79099269752551,33.24829068477223,36.764798233446854,37.11458515461909,41.0017164966621,36.27310678128408,35.02106635352258,29.6673557352947,30.93133854774785,31.030317724270876,34.866641263656824,35.08159138460321,39.12228386960868,41.59077440192505,39.95733050905492,43.262713884104876,44.17175685304127,41.04095000798647,41.84552468194799,41.09301289170635,40.39723216015058,41.07241671676007,42.89212998155199,46.42442269797872,46.927611277571685,49.03656116252726,48.712999851090736,46.62353968675656,45.4634097777946,46.190590705656014,43.11009321412741,40.99526175937396,44.97354025412595,40.81208188143741,45.08837757789213,41.81840333752627,37.55695706984486,37.3731143646588,35.93455440514679,32.583803997875,31.920289364738398,33.69302283787645,35.21740515079358,40.15551927480571,43.10998942849845,46.04897135203251,48.035550117138904,48.808486783954784,52.94515056365688,50.850947231180385,50.63509448584919,46.690319913710844,43.84278628678696,44.86281253260761,45.33189936965587,43.369777919435485,47.55255331927916,48.785168765988,50.26164858309299,46.64225239536251,46.269273299576625,44.32644457881476,43.49135076169625,40.33310600752994,37.971806793836635,37.415498462342235,35.48903756001502,31.713404461803584,32.78102263670934,29.91014964572646,32.971438753695416,33.19570578318944,35.81878029194412,33.15312231561226,29.693406706596498,33.111115068270394,33.376728059023876,27.442710887239542,29.369916850045723,34.92519865112718,31.62164534593893,29.235146987739718,32.273070638365034,34.353449065454846,30.376515032044104,29.805237391858842,26.71553961115064,31.10724222350683,24.057370679056646,27.26542774054201,30.857842771506323,32.19201811586467,35.073128396675656,35.68993792715032,38.75981447809964,38.04659495227521,40.97522692926334,41.02907215194952,41.91097300738866,38.520553862826446,34.928737444435775,37.819778611762494,36.904665002808024,32.402845674281394,32.70170465531855,35.22636141793438,30.898618340809673,27.54210713402612,30.38917172705426,29.71678664309843,35.91243429925713,37.89738330704331,38.742205763751016,42.76054584566006,46.012725106122346,45.630178654605174,40.752438963977916,42.50199130119597,45.739354887182415,42.06690453418711,39.2625252303972,42.963629314257005,43.1833065153463,38.96536658453469,40.944139627499865,43.422690115820906,41.21719148252204,38.391679296907036,40.559599332100625,37.532135179796654,39.538578246789015,39.04249887964669,39.46472957369008,37.18074673011886,33.423915385835116,34.83068696755489,33.19759471778789,30.499369724204506,29.25276989436739,31.386804690570465,27.85590365564509,24.695799491358745,26.2852248275105,27.20938087998921,23.580464053740616,21.07738801930025,19.497397081770973,17.154141251257425,14.898280370659373,19.32691939419343,19.020096203336596,22.91365834032112,24.860475807996632,20.110650319654074,19.80750256223161,16.986326048366706,19.148492532474595,23.372389288743346,25.63139542541997,29.21370294889079,29.547805094786053,31.451630245503015,35.995791414539454,37.54028116781262,41.17913986371264,37.87388351533264,37.14032534578598,41.44369610373592,42.73464231123079,38.77110533258156,41.09084760063017,44.964447750436264,46.32150940996184,46.61700326548869,46.172455680077604],[23.904363594995903,22.464193639222685,23.074009070647133,21.139653679940654,25.431278508575865,28.56553665231275,31.209414031806357,35.50767684008008,35.853598680744646,37.08188774253682,40.280493042238476,42.954699928431666,41.78754123925415,40.16893194673823,45.37675998602003,46.40089796184819,43.69723997984771,47.67905669465323,48.57197586027159,50.385945406892134,52.65683373436653,55.39067650884571,55.650740315033325,53.40942506170591,51.163377053046915,48.25124026957467,46.747141627819815,44.372189464936966,46.81426705829694,47.339989917492595,51.66760543781301,51.00611477193634,55.006658714939995,58.308529895417756,55.29606141095135,52.74674050141544,51.56818993024382,50.55654144091336,48.713441578657246,53.15421342690491,49.042947894045525,51.80791549272633,55.73546263603949,53.71683076000146,53.76695392713578,50.81603468284182,54.27835757081934,55.80712404215535,50.83596187059478,53.132072063961296,56.937148119140836,56.05090880788823,60.703251646253115,56.24256680861765,62.04800411850972,64.23292819556829,60.53683726399805,61.06118716181058,65.73782966886863,64.91890677733392,61.36017758798699,64.03095855626779,62.99587942951463,64.00073603866151,60.94387157304023,57.92017063980831,55.39989355061477,53.77092313751398,50.975673476824504,49.973428281376414,48.60969701860937,50.87737102046063,53.41202938307738,56.056773154197394,55.814491335158436,61.75515804652421,60.04571201583376,63.35604051180572,61.481547462328386,61.44622660842841,59.69913546026838,57.77815899392297,55.820390472501096,54.858710738044586,51.505180070778465,52.03073737322999,54.38874459735772,56.31333359794636,56.12409300361643,60.32387550536465,58.30140064961896,61.48608961065572,58.53790929635763,56.903370451940376,52.19915402445098,53.01844506324646,48.67957292486032,50.96358453968474,48.216541329734994,49.39617142679929,50.39340700694397,48.33859958157745,49.593307718263866,46.419000804866656,47.16146413567493,42.41831247203173,43.10658048258349,40.400449174932184,36.508067411923804,38.60571741808879,34.800777041118664,36.179741609217416,34.98667317591664,34.70258153639551,36.98930131817774,35.726818389223496,39.571297431670324,38.20871236010855,43.74985440428739,43.715198017132174,40.67952398949936,38.55793720811041,34.39951532768072,32.92173204650251,31.56085822725981,30.866288750023482,30.351016909603587,32.21705930383438,33.39423911908278,38.02874612635505,34.086680788994684,37.94755420658193,38.62144265629673,41.95414882532559,37.30694050294977,35.40199570179382,30.504561205522563,31.148862563039604,30.85318805023204,34.77772257113484,35.12495653363864,39.56221819348155,41.51112135330363,39.75481468872648,43.19831613982976,43.51316966279059,40.29207625355738,40.694864721375176,39.95392377686138,38.601556175153696,39.30654295458293,40.416414397747474,44.1268861932892,44.04665314871918,46.123032835601165,46.337592809027356,44.43587758635505,43.73991075166144,44.65796160257171,42.202299522063406,40.62469506703224,44.51706586834518,40.85794657612325,45.36150111147615,42.823822558829214,38.71619856586701,39.06933928533196,38.170893078712524,34.78571702816014,33.430940912132655,35.03839054904109,35.908089318235234,40.85244401860585,43.50128087859129,46.0581399894781,47.75330408390458,48.01314327926256,52.43542154214663,50.827176661986336,50.7990171545801,47.35089429326043,44.12594056449013,45.959899607119226,46.89514975970441,44.74460164865841,48.86365015758783,49.668198658137,51.8095804683835,48.347432051145006,48.30890498703835,46.77793597277513,45.51034854908357,42.66165027156682,40.15310915077289,39.631414455489626,37.90556267552824,33.66561020126554,34.53026285196563,31.225976655762356,33.53829374713812,33.90347078956582,35.80497039951101,32.84803270215429,29.679115785964477,32.938421529399,32.37714324760265,26.30154180249462,28.56017679590662,33.73300424086678,29.600769256833367,27.221806034140375,30.299605548879633,31.807492253705863,27.378975063444997,27.07582810751307,24.45145155132765,29.216323908259675,23.19378451851381,26.61812517669991,30.207168375633156,32.56134588783595,35.269146446835244,36.5531814574571,39.53564292846421,39.155567266697936,42.339483388212045,42.234877971407734,43.79519339911659,40.47466886998218,36.404957715930855,39.64028801874084,39.482358067916834,34.765246546725635,34.82980000859263,37.87852283121631,34.06062045013313,30.25789957614929,32.88875906151402,31.322862892813152,37.327665549225664,39.47042248518725,39.69441223781828,43.55604070538494,46.496502622572976,45.86104088765638,41.06815779782075,42.48570786937034,45.34674651090082,41.4379133126963,38.62442295579256,41.93588741271969,41.7236702983649,37.49430556138192,39.74153843640674,41.75409174059021,38.96886429755541,36.58331383351314,39.10164787278384,36.454337223796024,39.02689931187112,38.84242466924446,39.862352556168084,37.15354822823563,33.11387397623233,35.39374686719277,33.944448782374124,30.810758490511418,30.03590234830599,33.01167837190626,29.274128478075145,25.64725180885758,28.14838035966013,29.642216641023616,25.749256948847233,22.768211218989595,20.023026993661414,18.634851608764738,15.0211308984818,18.670339392933855,17.338914436569766,21.555760516929148,22.46658518168722,17.563753544554856,18.33406869675174,16.604255362532804,19.39790202103569,23.712734089041916,25.347120402876776,29.420818800219543,29.043098960801686,30.13544950234145,34.79762991782124,36.43263690060751,39.78307232936275,35.85712728638542,35.155662902578285,39.552620718306464,40.38152510397534,36.01913313294612,38.676027680273826,42.33772562096895,43.46116049813041,43.818891481444176,43.34248664556038],[24.953017701225185,22.889015945361766,22.392894559432722,19.785609159258232,23.12105264566808,26.947954689231054,28.933888982081513,33.4261008827707,33.767146968295854,34.34439707937714,37.67563257426408,40.5985902091796,38.73287650696202,37.0731941111045,42.26501746397624,43.1344079360379,40.01551225918317,43.75156301123226,44.22730128890745,45.963687702826476,48.0030629516369,50.57630673099644,50.70132107235084,48.293270893356194,46.17853367748091,43.4466413508999,42.10064849309264,40.02859845069602,42.80090640820398,43.70984711098907,48.17858023861489,47.75654196174156,51.90201114860797,54.88038799498758,51.6941950574806,48.864890150496464,47.86707477315937,46.32711257301178,44.27644049942446,48.609140917850326,44.237894941186006,47.05896299864754,50.910462976683824,48.69121587568036,48.53282080277975,45.476798293728,48.859739159668145,50.5860450645346,45.711993818136236,47.87796101355406,51.825575163730264,51.08430819824221,55.79432742547037,51.49391441253461,57.432638947855594,59.38198218609937,55.649347541320495,56.468689765206626,61.069165217273714,59.97591134944428,56.539984486388434,59.41065574840476,58.607614975039745,59.38433332117196,56.195027773692544,53.37907302785374,50.92656760030509,49.59559798004164,46.8239199145829,46.207185364633816,44.75389541058648,47.11421983137873,49.66849368918178,51.97051828368081,51.91978084646546,57.78734113655534,55.879086788861784,59.386526969027244,57.378374051295516,57.11807632250535,55.604229872850695,53.51236404007438,51.94709714747342,50.792253342431,47.22315699292958,47.93950121594769,50.113720926328014,52.425104526183716,52.01726357016884,56.55126684612438,54.53134954251592,57.81387705088654,55.08992859163187,53.71146835437502,49.0893832628613,50.17943433372409,45.90217962026636,48.20045413858459,45.6609241823221,47.320680392265,47.63493157188184,45.867918992721684,46.51884103505154,43.626600007401,43.97549688937012,39.485643516160465,40.45176315807263,37.547188360896065,33.94351997100395,36.14020536309161,32.389460068396346,33.11498376988424,32.10309451883578,31.183590021733895,33.413707706378396,31.705532669791864,35.396698933329226,33.65885006655165,39.208348381657224,39.60174578972755,36.64192077502379,34.81021326353177,30.38916235625482,29.197630334728416,28.333399865656748,27.237017976255594,27.661737794645155,28.990598101428755,30.299311896113522,34.71606942441835,30.740305766484553,34.74367992816351,34.85245482630096,38.35873209280317,33.32530431235431,31.431655082208493,26.489502676454357,26.83905875945126,26.345043352683376,30.204814631303016,30.127290130180548,34.398028809666876,36.645613047337456,35.1069319321182,38.58487970401173,39.305221952291625,36.16074534352638,37.03564882183578,36.603598091892486,35.73981354274658,36.89316050788397,38.43404488896544,42.3928125786632,42.8914359613852,44.511511304883776,44.26450957735774,41.94918306036342,41.199866138912874,41.61027210914343,39.069713001448,36.849014646399205,40.5136140712635,36.41376060623681,40.919214222355066,38.09877639633874,33.752531287267985,34.260997070970454,33.07812115515402,29.92155171763845,28.54356212795424,30.4529364051837,31.39327032118484,36.4901929134319,39.38260292404903,42.11455671501516,44.16931861639543,44.46241758448707,48.95078115572214,46.922165407475426,47.04501051518139,43.209054212979915,40.484394866406504,42.03452260707346,42.73555917679308,40.407111205104215,44.25487453650505,44.979132268947566,46.908271777095635,43.16663387451718,43.31662844502371,41.80553103845085,40.77675111597989,38.09340480719244,35.840013401979874,35.642937598605286,34.26242571333537,30.09159122511901,31.53877386383874,28.73126589201706,31.210886955845943,32.276421653763734,34.32281185423154,31.122142140511187,28.440262010718556,32.22179706610719,31.66961447810682,25.637203204029376,28.49929667205106,33.882959631858725,29.769547099909015,27.888914114769403,31.36866788778994,32.65196861958053,28.46219840230433,28.85653544313376,25.94707535802725,31.089217554324932,24.810231834208597,27.587954359235162,31.525870303443714,33.63659382532763,37.00972403767608,37.69546598374069,40.12152881455765,39.15382191910118,41.9884665710506,41.35402723154838,42.77172643837254,39.86259416076986,35.45542198376077,38.19535772773578,38.10884456539464,33.52508139226699,33.08060306741372,35.70750565631569,32.217359683235635,28.46141195415709,30.128007407766347,29.33128861380371,34.99962474133874,37.477271275659,38.32630216566271,42.0067897345311,45.400782922676505,44.36073742637905,39.56616749538827,41.73321129479883,44.47653732336092,40.34308474516219,38.02207347415672,41.74660017817799,41.5648158325337,37.44728135842957,40.12719097607872,42.334356812197804,39.69971370354797,37.5324485172699,40.203405783863175,37.3530132924867,39.54279144710541,38.736123765735485,39.82261545685161,37.77834372858629,33.310300365333966,35.06823928753632,34.173407046906654,31.210287205044818,29.519293920828837,32.71709948495055,29.64924091897508,25.55138279555533,27.170105037736793,29.25570100647483,25.961950694709383,22.700219701565004,20.075014854370718,19.386084901793943,16.1179996041879,20.4704510727814,18.43569456104024,21.970774219892103,22.79237226206782,17.96711978509317,17.863418762433415,15.913859260061125,17.753907077987346,22.408288204347624,23.29567503468095,27.04460772973596,26.402539281357154,28.715824696894636,33.16416337268444,35.20840763501039,38.37657058782732,34.69835393864988,34.65537191035812,38.99755296294042,39.509342950772535,35.92262962238962,38.810495251704,42.41356708427701,43.63807269527742,43.85899416160794,43.27658694501334],[25.005877375869165,23.59587974230425,24.043328063988813,20.673672299877936,24.951446293365144,27.444371861863537,29.345199743834094,33.86188519086548,33.2994928857791,33.76228107783781,36.72204367765036,39.96074284442771,38.48755050125955,36.12273700685749,41.33786825636619,42.690613775015834,39.71284438383422,43.32114537729051,43.70971075826886,46.02511216186668,47.924014187135676,50.959585110465255,50.83149288248574,48.521808672219755,46.668986741966336,43.540058988531555,42.57762877977025,40.28020822290382,42.94054929566313,43.95363691993613,47.63327896858635,47.79131442391493,51.69131284301615,54.685672091297306,51.86389524129836,49.01583484495954,48.509274114487766,47.09380116671123,45.38561843026321,50.297338503997565,45.651383537449306,47.88576164132883,51.98298226796234,50.00292836813703,49.72939543527726,46.958402658558164,50.47769094204922,52.20950538464591,47.61521966936659,50.250612678233544,54.20815601252662,53.21149038546096,57.76791349579428,53.30933540108833,59.29740261050538,60.999034010096835,57.00723079104074,57.65392290874048,62.25043320617739,61.13237548483973,57.28266691256514,59.771095250331264,58.73284364391145,59.25327050962557,56.373235717559574,53.595608849892194,50.48071451258554,49.10547634483163,45.820791023315124,44.99133057362963,43.26623623319354,45.187942601126835,48.13841376563294,50.765852801112466,51.06418632154005,56.98766349252832,55.66314883972694,59.21806069907147,57.6362249936335,57.78293222554421,56.56391220708553,54.96184922467965,53.51071302626272,52.800277750759356,49.150355165224596,49.32659689201561,51.08024519757455,53.2773443773827,52.333763729889405,56.630222891834556,54.17274296542655,57.034074318479604,54.19785609929886,52.9144753421018,48.2796542561685,48.94503049483408,44.6540991533481,47.64756991653842,45.31792106437965,47.29003966573867,47.99168784860419,46.846903374412676,47.65520962676574,45.32889384703758,46.40018487300025,41.89697261137556,43.4147408373734,40.892532066493786,37.112259478776764,38.6926614294868,34.59356052333275,34.97627175751533,33.140339292054925,32.23551838695241,33.60456413149465,31.93386551801354,35.38084251330485,33.640839494339836,38.6984436303527,39.00349031971499,35.73141332390996,33.984563078218606,29.77296321348926,28.974724925452932,28.361598208862173,28.375524213512264,29.201865383624288,31.132577566169502,33.060916094365496,37.669678366316894,34.3652108222334,38.67754362826163,38.710803368317364,41.762848136238034,36.61719569942208,34.08953457019702,29.756756790945765,29.109597715311974,27.837721890038857,31.587866335596956,30.941576691075795,35.38186370543175,37.33646350652709,36.045120338429214,39.716557896562826,40.107670816633465,36.99570834984867,37.8344515372561,37.77641462894371,36.44350120773037,38.02882381836229,38.851046486710345,43.21506878269414,43.269486399476655,44.46478952451276,44.673999601486855,42.303322907164215,42.21489631288427,42.42276971130156,40.72237332540353,38.64082894253904,41.86536348243574,38.00134914388747,42.7202347161655,40.502506935076106,36.12404667929617,37.38893592707877,36.388147560363706,33.56195201980414,31.560532946229362,33.578989335567854,33.85298253070861,38.993850770962325,41.72391903105414,44.12160899168195,46.13109694557174,45.7782814913833,50.652694817452875,48.85505947094062,49.34728886654191,45.77003491815647,43.12037381004777,45.26572122634286,46.20845566078743,43.57976302112843,47.021136240753506,47.15795466835308,49.53261112469243,45.624431200167166,46.37312593224852,45.27565500874399,44.1591670502061,41.95104877458146,39.84129775418494,39.917697167166516,38.92637187409311,34.53902333816162,36.10458826169947,33.24210582420529,35.12444545285735,36.55676356328521,38.00604420714224,34.50052405398923,32.327341712128906,36.049594278233215,34.756356390803454,28.754030584135144,32.0168469370288,36.99456986686499,32.14309547518651,30.45970180692585,33.981614714122124,34.58657051689842,30.0511390729009,30.889403954172913,28.48804890102772,33.888496801946694,28.560949683793186,31.41339666211421,35.29967440276639,38.08602256981985,41.28724422846927,42.41007376844612,44.76480615442509,43.978609702497586,46.91697174331897,46.09061887269136,47.918108390194924,45.132826676445376,40.4170119348449,43.248823017432684,43.6276286297017,38.98578716398998,38.309556022253545,41.10555427225276,37.98975857018697,34.06386923021605,35.32234081716485,34.214226184835006,39.534384020686964,42.21430199450103,42.78738520176433,46.245953694577956,49.498616025723294,48.11479021461551,43.4517730569515,45.548884286617636,47.889363943673864,43.501522216409356,41.375296229748486,44.80551699475556,44.20626309667575,40.172509619989306,43.18924465020288,44.96378543993303,41.80256775554196,40.170824216363414,43.16268533156624,40.65835059317584,43.242859692031054,42.59057094733623,44.14516630992892,41.890246792005165,37.20490799507745,39.51651268293005,38.82808266022444,35.62192105135327,34.16809462459617,37.88275571433355,34.75460999107455,30.421630384257156,32.46073521112432,34.85796594026928,31.460613564017482,28.017585769678014,24.80797050246263,24.59819784823151,20.725231087716985,24.461219643045915,21.74086308965039,25.295501878957566,25.033081734390407,20.30673358867415,21.04553737175752,20.094678495693863,22.09472386724624,26.72792509789016,26.775311543974627,30.716169308444062,29.229403569437192,31.244841125018844,35.60817103865504,37.909147235684806,40.60901228005887,36.392458385374276,36.709891613969496,41.0569040904752,40.845071409121815,37.19559751495543,40.544567566134745,43.815361476194965,44.768929740711805,44.99220906546698,44.30791511839282],[29.149861519456145,27.744183393209468,28.057343688159754,24.606514892790347,28.58082968379437,31.249433477466635,32.902121475129704,37.46480284177915,36.76294856538536,36.88767798548672,39.79261534011841,43.2192263575733,41.47799958390196,38.90778852502134,44.079223910856925,45.46881298228867,42.25463768898255,45.59722747931519,45.54532502180512,47.97218836400031,49.55108363194809,52.52944104046185,52.13135377737906,49.611679465560115,48.065107584305586,45.06343910114866,44.42257987768667,42.39896463958641,45.31371302088007,46.64404219254739,50.19811410164257,50.67222441793245,54.587888563779316,57.36297265188731,54.51934151104045,51.46659509249797,51.201746638646355,49.39384174097287,47.56071335736399,52.402199710946654,47.480369392938265,49.66648596389007,53.70149720542737,51.51603585758692,50.91294524755935,48.028071322382935,51.38908483824157,53.462232846497216,49.064397615625666,51.46922224473959,55.62142765158736,54.83973011889147,59.447182099185696,55.19344754958171,61.29741503399651,62.71853792203871,58.67285734556725,59.62612426576373,64.12347383283486,62.67942325062765,58.91678843712347,61.532353777101704,60.67813047488117,60.859614185844634,57.938877171297605,55.426200042413015,52.165185427112505,51.097232603889616,47.637880021918946,47.092469630522466,45.16073236441395,46.91535485846769,50.09097655278066,52.52815758253217,53.17088040160278,59.02233617953025,57.730969683067656,61.466159040133284,59.89064998465219,59.92455942621682,58.96885857483535,57.28716405774366,56.163005465446886,55.323731212327445,51.51407449911448,51.8169636159118,53.353758770042624,55.84407283366399,54.62099510116655,59.117143015094435,56.54890779533746,59.335327017881234,56.645375150332214,55.58292893504523,51.02015714631346,51.70967661763421,47.475479154256455,50.67499325044096,48.51840708471304,50.762182092607134,51.21239975990159,50.28259128312081,50.80564198308083,48.65818522295809,49.50959480772894,45.15317294909849,46.72928166350341,44.06747456506415,40.4556666397734,42.149876188510866,38.11607836522102,38.22448487610232,36.45970219608523,35.21165294135243,36.396707061228945,34.410522941504354,37.62400977280276,35.51261769441837,40.34348031933925,41.077274738047144,37.77895654758587,36.3474145894729,32.02595332961273,31.606723927427517,31.399126103236554,31.328210562685,32.660217241105805,34.32031124625557,36.254787359534006,40.70060245090417,37.2771027607122,41.551865674217595,41.27389135809133,44.530059532143845,39.18756642696474,36.776571213909335,32.377686406595764,31.613700032136734,30.152827141710404,33.78044045655634,32.5345586941956,36.72923627097995,39.01336828333708,38.045078616440556,41.757171649927734,42.476457001390976,39.4590208096082,40.64290866250104,40.82452753501306,39.71892356594735,41.53684415380015,42.46160238904806,46.93154639512085,47.11493326685147,48.118318542250115,48.2233520358371,45.68065083296589,45.64158860320543,45.57934215342381,43.900881716675364,41.44992486061718,44.4631489323495,40.276239318449804,44.974987224964714,42.49445063727322,37.88498167953699,39.233714239033,37.82252153102363,35.255050532933524,33.41304954853344,35.70767603835402,36.11718961408843,41.342493409001385,44.26082866022161,46.78206811046792,49.025517351309865,48.66948554105899,53.58495606620925,51.51798973035743,52.107880790259294,48.25016979352657,45.96402123972121,47.82594812370841,48.53007309599356,45.832161063293036,49.05431859933091,49.14649521555458,51.23512692368131,46.99086765227914,47.90877124548103,46.72613525748403,45.95866771442395,43.80253590615444,41.91743373003414,42.16021261487328,41.24848155125492,37.052994075533405,38.871498738621625,36.25208789825866,38.38977322194542,39.89056407663017,41.55724608574969,38.074715522691704,35.872029470287934,39.68424767592894,38.58005767351167,32.57080642967022,35.78223978881497,40.88169012191464,36.1610088667747,34.44503111271857,37.95166967151598,38.674042014086815,34.15763471590366,34.882759327080535,32.41156623775011,37.71565848560936,32.08439811029912,35.02957369938764,38.90375327791823,41.415232927187326,44.55585893048116,45.56466970994152,48.06916925502388,47.22263443859289,50.10288444949284,49.34499907671422,50.917562586055546,48.082595596442225,43.544419377741036,46.24539693070284,46.307896145927046,41.74392045141643,41.14425735072771,43.68929238933422,40.354276105927866,36.62227437118183,37.85933274274133,37.20347757211152,42.56342578590923,45.249397379309634,46.095081963345,49.59690965875214,52.99005326286907,51.630390462713514,46.93481411012288,49.18515590489553,51.617079516759745,47.24798044854203,45.155096064780295,48.69364611480736,48.172747108032056,44.131867258953775,47.10096057921063,48.966701281516436,45.880339485660585,44.156699103741076,47.07454582766887,44.48743203533161,46.97397446012031,46.26752766562738,47.64521394733286,45.4556299306574,40.86395533341954,42.948712027593714,42.150176826187824,39.05086938838737,37.49138414351049,40.90801854656116,37.758804194087226,33.6153134086892,35.37914601971618,37.51469625422939,34.129363188076624,30.88724292519519,28.043673296582625,27.35388396076622,23.816132433429953,27.787637090560928,25.45839971476105,29.08771272009993,29.057080488026642,24.28841564633563,24.83980363339888,23.566056106323522,25.425409459529966,30.114680843930607,30.26227160031355,34.04840551669052,32.63380113690888,35.03816584192339,39.350893975466704,41.71161385913056,44.417528246867235,40.29896417994517,40.708975552966905,45.044740577894686,44.810468844660335,41.28275359103816,44.63196866506386,47.91011825257203,48.870049730867386,49.06831520310536,48.35328038554558],[31.671042445713656,29.892904684011363,29.480276631021347,25.732257403557398,28.842241522209342,31.94698483838885,33.0191240594162,37.633713350746504,36.90636310039516,36.42812663708563,39.36846744876718,42.99388276576933,40.64901977890684,38.01397603129739,43.08497002931198,44.345487969252034,40.75720423221162,43.75977132669256,43.19476986530128,45.58347396336237,46.82998756056113,49.6353696122101,49.018528140867964,46.289974872719164,44.99486572209514,42.21428289598193,41.85075352068002,40.20722795523685,43.45033838522492,45.18817480647486,48.77266937926831,49.536998380918625,53.535881261619174,55.9610569126788,52.99268992959919,49.672447146116774,49.64033261830326,47.289865390139674,45.26689213420506,49.95164428141231,44.75949748028551,46.9384927532328,50.85556701751098,48.446980638856985,47.54035927771481,44.55175020778537,47.75781775017211,50.11905972838818,45.92599241133391,48.12022635977753,52.42926231090302,51.85088523675098,56.485387980773574,52.47119205745813,58.677825800172045,59.79375975287401,55.723779300827445,57.02316476897793,61.39424978168429,59.61352805997116,56.00472775911069,58.8169319249528,58.22420454321491,58.09335293423039,55.063533457841885,52.83720329388744,49.595612239962854,48.898888543542895,45.42030962084789,45.30712232059446,43.24243635431152,44.99791262804808,48.24663468535083,50.31036312317497,51.2310094704423,56.95758047445636,55.520260128624635,59.45570987624673,57.782045491422046,57.593475193795165,56.92439654073676,55.09355726085489,54.404641035334855,53.3775389471651,49.381807395434066,49.872925463000584,51.16551004521841,54.04622947159302,52.55972374584837,57.36098043754064,54.77811776835056,57.60207143915343,55.162093541455036,54.38612890427612,49.9517189111714,50.86334481372344,46.737720508229266,49.973394669636725,48.052557467812676,50.713214453258956,50.55951942957753,49.91606626007527,49.88734264273757,48.032591485391315,48.506131635572416,44.45000277460794,46.21895295786783,43.4147248736156,40.131606894138805,41.89830633653517,38.00544722802801,37.55089188133153,35.97353775217505,34.155534536892226,35.18152663107259,32.75950846366741,35.68571689894581,33.14052226985574,37.804016577153995,39.060734914449476,35.8538941170118,34.81124163488204,30.315185284643707,30.308651498232695,30.662922556102952,30.287270059803863,32.46493967935781,33.61037866389831,35.6025910079539,39.732184399362204,36.33777949462826,40.60173167262506,39.80840529513441,43.19158696039558,37.59853535709052,35.27858574337437,30.97996093173978,29.91387752249195,28.212860353464233,31.6258757066153,29.751201580226642,33.62869244200066,36.26455960089528,35.63948569409977,39.3445480555632,40.50302484746286,37.6331504139449,39.29932562765307,39.807273625253025,39.16509774443643,41.3566046816045,42.618124857543215,47.22972730998548,47.86809237210511,48.49275586910248,48.218478775821765,45.34861013539441,45.27965927217849,44.751549643718064,43.04391973017183,40.0195863769361,42.720387271542215,38.133569214769395,42.75638624320891,40.00346783696702,35.18889473311686,36.710040668518076,34.93730218202748,32.750861748123,30.96963879280486,33.56261368277978,34.03809003359308,39.304485786499725,42.427616204859355,45.08486522647575,47.655790778318625,47.325810440953774,52.24958226790695,49.788943141120235,50.52356977453514,46.32109105410661,44.58351614035607,46.10848526588999,46.54111813249109,43.716793750067396,46.585344162258735,46.58163610052469,48.37436445024506,43.81207034320315,44.960311153143124,43.791027051523535,43.36089377168572,41.4101655692971,39.85220676170157,40.40633309739003,39.8090096240543,35.83618159844822,38.10908102943792,35.97747037651623,38.25134072892838,40.19794790977235,42.000764837876396,38.438937045428005,36.579979521442006,40.66656066561508,39.66157761737506,33.796835437980974,37.272152982715895,42.47259986611884,37.895028681441964,36.47701352713931,40.16728069534207,40.82000300227722,36.519671185771806,37.57272299869719,34.915170595752436,40.34264958722722,34.48020569314983,37.06379860906233,41.0929598772073,43.33637583550229,46.83710957449243,47.43266782409915,49.62503078521903,48.40244385470264,51.0135599923678,49.950950608587135,51.32617652016985,48.77128432390875,44.14269270317924,46.44344532486064,46.44609167917978,42.068908103889356,41.18259846138323,43.32016613244852,40.195590320495654,36.64560773413623,37.21108783974774,37.22623642589421,42.25753908061903,45.118569468784145,46.4518496791091,49.80347106865639,53.50363746676244,51.90449562713933,47.25638990252417,50.01572845816546,52.383121377893076,47.92953777076378,46.18563701891004,49.99073776489262,49.53347834165702,45.59985473228551,48.7816155480951,50.800167850990604,47.88017604103915,46.24979614170146,49.20214809181277,46.46960743734746,48.657048048633484,47.5509416793864,48.887913031115545,47.15386999726753,42.38825648793746,44.046615396939906,43.55536961762698,40.634354844373576,38.52354050892886,41.9156864342708,39.20324945090213,34.924524027609,36.04955072701336,38.40854105405719,35.43658975268691,32.171013603429124,29.580724545547973,29.12495531936794,25.94254606544079,30.260363843766793,27.76515795545062,30.988681648473943,31.017526365903674,26.394634085200213,26.398267375851223,24.96041871808842,26.178022493679993,30.890822823893167,30.605621363365305,34.01273844092678,32.47721951474772,35.74502853698042,39.81183834853769,42.41356990593713,44.97117262249758,41.124148720016436,41.971069000618314,46.21064786635048,45.78954148498503,42.853989752962356,46.28982560608119,49.51771359877348,50.545529915565574,50.644135310921996,49.85974228139464],[33.40649518273399,31.933919306955218,31.866186538034363,27.76128361430863,31.11013385126222,33.49678518047137,34.34842061396995,38.89733692258111,37.602213769725715,36.87880408374696,39.512898531136514,43.354923978731875,41.13656019453986,38.03618215939181,43.00009641614369,44.54613072986848,40.99764115104817,43.75195221728626,42.95947089245681,45.7328518961745,46.75151829868965,49.81127498375819,48.94129140848114,46.249749978473915,45.25044442014119,42.28639645863272,42.29844058621776,40.636138955922114,43.8498123160687,45.75767670266463,48.746636449303956,50.00249918966547,53.81231282510861,56.11910870791141,53.39929178104008,50.0204901151961,50.400232628193066,48.007069699338324,46.19317691194695,51.17682166700498,45.783674757765844,47.51924616315052,51.533102734023394,49.25413972382804,48.18698196833969,45.41285733879038,48.628504057842385,51.049591978261276,47.16048813761578,49.59653495917579,53.908158835439544,53.21386154526568,57.70623869862617,53.68482275391893,59.900042816909,60.75150116354756,56.52419724542522,57.79223313246954,62.08787908868251,60.20294398011516,56.37241052561304,58.942059818827026,58.26550108765952,57.84611921274419,55.036176052235604,52.95178453428989,49.2593914670924,48.661463458690385,44.82905910134035,44.7064894652954,42.411371777102424,43.794725577739484,47.34406751375383,49.503215696052564,50.77870125850085,56.452125309017156,55.412692344748734,59.413441629879266,58.03151458334287,58.06866497625995,57.69658443331551,56.17604218045308,55.68849943729664,54.919256962765324,50.857885650812186,51.03081728331459,51.95421254487991,54.838843043338564,52.91355824842008,57.59337378297784,54.71385210667566,57.21482866283281,54.795796983287985,54.18947960534548,49.83435457327123,50.49774465778755,46.45040562658775,50.153566640638765,48.47251642539573,51.43407146573437,51.37209258835628,51.22134581106851,51.15141652130777,49.752225178184865,50.58481909403599,46.62429165849978,48.74984307686489,46.163250529845776,42.867178504688276,44.27822528655718,40.25386654655036,39.481621082079094,37.47343515290665,35.5580834766479,35.95774289494968,33.4903522335976,36.08865364933454,33.46551366432478,37.60079999058935,38.94671778129349,35.60128431131344,34.7805628467128,30.49859139839313,30.903901277310975,31.581819749645657,31.838392142239396,34.40021625010087,35.762909059468065,38.092743929274604,42.2226245749691,39.257066019641385,43.65780764746589,42.73668440001623,45.84270530520186,40.19356104103874,37.54560706523858,33.69631726284702,32.014192623612445,29.827767183969684,33.022215294808866,30.642429122221298,34.44174893237994,36.91313881730043,36.57523480649992,40.340980255072516,41.37748303998655,38.62090486454651,40.365956884007055,41.19492684993933,40.38312661849872,42.907641529938225,43.78751237087439,48.63257541996989,49.099111905967845,49.34598876616417,49.26879661289671,46.30921979009652,46.659538446984094,45.88602385408584,44.72891654757082,41.695987700020524,43.994086718917536,39.53050365349464,44.204521203152254,41.820801350025135,37.02102875176185,39.03554352079403,37.338460230659244,35.46812444243188,33.35416402609555,36.01548620532212,36.085430507951386,41.30022439960085,44.325419496246035,46.76879902750996,49.36265863513474,48.62307738504995,53.75265811075291,51.366405901444566,52.36968203694232,48.291834636150774,46.74421227082748,48.55060546895218,49.07215947568784,46.06104014254946,48.560327318705355,48.1454389670239,50.14493471098513,45.44353736702973,47.03580312995176,46.15058447253157,45.74100029588066,44.15002413207063,42.757641270197986,43.52393112779665,43.20987085346312,39.17885724272368,41.565476132709776,39.48658920219069,41.44653605529014,43.654679000729665,45.150182177015395,41.42864654861248,39.90645550274353,43.9925852835171,42.615343986087716,36.82911738583102,40.532980561452234,45.51915145953054,40.60423522116837,39.3542993916941,43.07675730573067,43.35201527675769,38.95202839046547,40.28860510304371,37.872817521004436,43.42348457079796,38.00995831316605,40.56971315974594,44.59582536551607,47.145869476145485,50.62465001371919,51.380733293568774,53.482280086904396,52.29337093071715,54.917218215011246,53.69402313095646,55.26433544360457,52.82503433649546,48.00924912911879,50.29535370994166,50.54771661794556,46.164568911929415,45.10991140106974,47.2798271559635,44.39601977493846,40.773681751333726,41.0349888757322,40.97032441269029,45.74777559438876,48.74193302169968,50.00021154133049,53.19390004105857,56.86460085569969,55.024968720447134,50.474653861413856,53.28329888197232,55.40355615420123,50.80529680840085,49.24479331370591,52.92391225189883,52.2451113604512,48.398554712546776,51.796231608973784,53.596413249163255,50.427696163496066,49.12068386729475,52.24601308402323,49.681063982129224,52.0235983930395,50.92966789808797,52.514718500984934,50.74762221918467,45.83827901416752,47.71743680091647,47.38726021074993,44.365137160253575,42.28943703063752,45.954044760211225,43.27032824793957,38.83869368985994,40.093638306352624,42.655271037096284,39.67528154325914,36.29623994560688,33.445263670952016,33.24922432525624,29.81546347558643,33.91691921898175,31.092054495592613,34.24733211920673,33.77056962066198,29.280027080162046,29.57559157381602,28.559390659105368,29.776373094148948,34.46401891365627,33.710604430719926,37.12637262826417,35.13727618037831,38.36167754136578,42.29358980134078,45.06614994308336,47.30483242633371,43.24235114404637,44.37868463474006,48.56740851102657,47.68668741995502,44.8786511361733,48.56774736074753,51.563419546987674,52.44104152410356,52.51682816187234,51.661476368907515],[37.78034251657378,36.183635262716926,35.78627658804378,31.547350966808224,34.351008651692844,36.87247796943919,37.28748262841487,41.78900253555075,40.35260247883301,39.1227889861707,41.64119329211524,45.65382735525567,43.02800542174446,39.768192859160244,44.52934796847054,46.04656094793382,42.23256415313823,44.537968424785035,43.15380482606872,46.00178674624019,46.56434164905208,49.49540134613904,48.283524248557114,45.38757348730803,44.81849808684682,42.07776023080885,42.532356637034646,41.281769769849284,44.75631647062725,47.07188153540758,49.84661158380246,51.517365842127795,55.2990988699893,57.234575276055594,54.5118519167742,50.898348145184755,51.62357489411669,48.72905373206593,46.81100596351658,51.65500871966034,45.98713346941715,47.558138125080646,51.425848945880496,48.95993421927673,47.49144753373045,44.688436887495605,47.66511192777056,50.442291802685645,46.926278551471114,49.12768023538394,53.584888167813816,53.1134515138417,57.56252047810071,53.84391850197395,60.11339596001445,60.55599503128865,56.29119549115421,57.91803369039469,62.022674115993325,59.742452785842076,56.04333429604891,58.72200750749192,58.29759397218238,57.431849926235586,54.61300151244876,52.91596456696912,49.10024611916967,48.938218218157154,44.98064126997148,45.28565821217859,42.78668132753719,43.97026890038131,47.696938981935396,49.50182217451242,51.20080784958249,56.670661404638736,55.661482098223374,59.8547772508606,58.49460760405272,58.384710489671875,58.39685214911253,56.82977021117913,56.8180729372727,55.93876810413717,51.72219287323761,52.00003534649087,52.57053374298049,55.8073531897338,53.50526796781641,58.3947782123517,55.41735979646211,57.803815835608816,55.64816551803905,55.372975551739486,51.20431592849579,51.954476752154754,48.07387568495316,51.93789144784686,50.54381025962654,53.88920756515086,53.38284130008146,53.589833412385246,53.066183187597126,52.02002139738459,52.597259730739914,48.93838431520116,51.23574526313347,48.580152897887686,45.57260055082486,46.9926317551002,43.10288880461579,41.8721725738558,39.95898181499708,37.605094744708744,37.70189880035808,34.88977518411813,37.05748937386998,34.03511716597057,37.697793533148754,39.593089056414456,36.34563522927226,35.99612738633131,31.74028519170204,32.63864353452875,33.851956243689514,34.00940921515921,37.23135945459667,38.21824009744823,40.593996329374384,44.411838226020095,41.53967388408646,45.87208431488853,44.51764899084504,47.682897506588496,41.88802315845925,39.33419464884454,35.690822501802316,33.72181399697327,31.29119719050196,34.14429022952738,31.044693121119415,34.35860812948227,37.11975774144518,37.24168840584379,40.945895542858764,42.36623995155204,39.82907218147802,42.001636545849244,43.17544397621637,42.70858358168588,45.558168568811766,46.58820159930902,51.53987356394292,52.27598555720144,52.165271001492286,51.8668227371559,48.666838733546136,49.093918825690544,47.8995602056678,46.85667415502643,43.37716827204232,45.268897976603,40.52515868720828,45.06082839194802,42.50934867453971,37.58573865994286,39.81187972897409,37.75115576472954,36.36405642388345,34.3496583741074,37.25476980201002,37.3371154127635,42.48515954371126,45.64339231606619,48.14136444129742,51.005817240097166,50.207164892718176,55.337905571414325,52.63437828368325,53.81424698197514,49.478850693077675,48.48451564516022,49.99628476185827,50.25754502772706,47.14407608746622,49.20137887724621,48.61695657941976,50.30493977328459,45.27107171349891,47.178239809289806,46.34457759071146,46.32683555648643,44.997017981054846,43.967612752089444,45.02115268213336,44.98315049337982,41.221916764373745,43.93972998256849,42.25724273729187,44.31297667598129,46.79348328838211,48.38406039529711,44.643955731780025,43.34707477093898,47.567442690407056,46.27005141376218,40.60867040674661,44.41879767968442,49.44280230292346,44.62938053532305,43.53424452434146,47.32517134150801,47.56388949359328,43.27819661148825,44.75230485018086,42.25911182043003,47.83199866018769,42.269422664963,44.685593302436935,48.76535302546446,51.11472594491489,54.7357731269378,55.26251117657109,57.24165715956272,55.8485587929486,58.29787898507881,56.92314831678519,58.30537041503754,56.02865715581181,51.24040890043699,53.243825592441965,53.37449607405715,49.15927488441711,47.96922457351779,49.80128422665817,47.016578071215676,43.5999261444018,43.44700329248113,43.9032236838367,48.426472609039145,51.50728083092374,53.11246454470119,56.195115557158815,60.06207690981814,58.073503699748635,53.58334725131843,56.71313630194833,58.78519938848436,54.155256928585246,52.82740048516328,56.64830613683498,56.00375353805068,52.24000572412337,55.74278383309552,57.618791048853,54.53921947742902,53.291194716729414,56.42021044675627,53.782139930163815,55.95098880789986,54.63944114735368,56.16363361042402,54.65495682872932,49.696344854400046,51.29690790090865,51.102892542445616,48.20995212194478,45.84455732920603,49.395800503828184,46.940473447704534,42.52544800893335,43.37743170564507,45.95468129789026,43.20740599521453,39.90330269960179,37.28893118210711,37.06656789887333,33.89630482528938,38.173122579368766,35.38748302572563,38.369585861511375,37.947015434247334,33.55109594943744,33.585168268888204,32.45071978421486,33.329725478378805,37.97290234634764,37.002567126126465,40.11973639076053,38.063606962067986,41.8149330549684,45.53866345157099,48.45773261007595,50.55177053853313,46.67618552952916,48.101078956566525,52.20093130872573,51.151779439982036,48.73626539489964,52.48080211518525,55.40611764373647,56.30395410798206,56.32256454174482,55.414710304400046],[34.53180279701937,33.11995648822109,32.944322451164496,28.458764515471497,31.498547981405913,33.345231444604764,33.679419873735526,38.094989129426956,36.309970133868795,35.09788686645875,37.44128860002276,41.49841727900362,39.150941297558106,35.67697075775482,40.43529832252704,42.14859314078822,38.54459533779391,40.9406987374748,39.82918013814778,42.89612373624925,43.64953525667809,46.88507897609265,45.784010203272956,43.14344535107194,42.42183280106098,39.34159004684805,39.73419187253656,38.15266776860522,41.3843250333142,43.548386203260556,46.00329646909891,47.76810017460601,51.41367539807755,53.4762159944196,50.948608663864604,47.46588066000986,48.27965847140468,45.72383833958237,44.08627069329975,49.28957778778119,43.71239424115353,45.00049509482068,49.05900112499303,46.912666665857856,45.700589791505244,43.17625842195892,46.39552642932817,48.82251280628893,45.274323691312325,47.96671335094336,52.23190678624073,51.410121653292926,55.72490556120205,51.73436423090776,57.927384843915306,58.48477985238157,54.12809193984419,55.389220863530944,59.57585966616604,57.580565045400284,53.574850369569305,55.937154232919724,55.23216332190615,54.524659439665434,51.902062894580254,49.98948359357425,45.9465390911466,45.51239794240818,41.423682418057986,41.41898457126614,38.92711437927046,40.02500986425585,43.78590175984913,45.89691124107542,47.5100208512688,53.071331065763395,52.32033556475969,56.40056984877576,55.24890832642232,55.43642308223545,55.398262442370964,54.15184660132292,53.96185714652046,53.41197124159645,49.281384989361804,49.17564240308186,49.68326818084798,52.642353302828774,50.26883830648637,54.89194972472457,51.778558086927475,54.0157216292234,51.71056801644556,51.344988584368814,47.13914366037368,47.69222602285083,43.79246552913229,47.84921405562758,46.488954316550874,49.867718585802905,49.61831568815085,50.038021843052206,49.71074450778613,48.87714150408812,49.93181471325825,46.2205096639672,48.775251316732266,46.4120567906944,43.2635157465672,44.295270185208146,40.254415624019735,38.943818877314634,36.62337440863472,34.43125947336191,34.17144990059387,31.564239169258084,33.71967812503832,30.962918538330214,34.52127281062971,36.05302910818643,32.66744038293557,32.18151273534999,28.123329509940874,29.040394335359856,30.22130417128512,30.953402251315534,34.165254644872874,35.51240731299819,38.17537400618731,42.1301573314305,39.710367845543516,44.209410427767324,43.015186665318765,45.778705241758566,40.082968991464696,37.1313365135017,33.89230640923339,31.486988616389738,28.7872281501822,31.622198576964212,28.67761681198664,32.28971953618654,34.58615531541522,34.589245535843816,38.35345950004985,39.352597448352704,36.786183439456764,38.72582685454337,39.96249538105942,39.18378683688793,42.14237453925245,42.81116717854909,47.874553811941446,48.41710595225579,48.12692197327401,48.03602777721773,44.88240680816516,45.600831352736286,44.41712077471929,43.79447863381479,40.60603411434829,42.379849207235345,38.008344695028114,42.654347193918895,40.652474392292234,35.92569719952563,38.490568789548334,36.91424412944469,35.46865070640504,32.985191776993354,35.70851691569951,35.32610490355926,40.40321959395829,43.32359586764589,45.54516759371082,48.22398682219167,47.09468790260572,52.37719979091675,49.97793169065495,51.28633755612827,47.30221833863818,46.1081905285514,48.128172255280596,48.70238693532323,45.48437829604907,47.49243334564922,46.62319927657437,48.81150483343998,44.01002059977611,46.086690152942865,45.564299417499385,45.17063522152097,44.059256082468465,42.91667421104261,43.98526322037131,44.104671080087286,40.08804324512259,42.70671009021929,40.880197329324794,42.46827176320196,45.15091877623003,46.3115199752201,42.41812303091353,41.47213409706807,45.640421883911806,43.89823303513987,38.367844980164236,42.42357346274132,47.15721210391576,42.02044075305337,41.15519666813229,44.98552426911079,44.806287513509666,40.512494502770295,42.35797536960658,40.10402632984216,45.82207015996497,40.86510705150609,43.10340202341718,47.19292131907339,49.971427122029105,53.66957085481257,54.36802029375588,56.095711305472754,54.73545221732545,57.216416566557385,55.6148033615473,57.377276442795804,55.26660465974654,50.14904975318372,52.22367444570749,52.85124695001921,48.5614839967112,47.135755424166966,49.20517192218729,46.82149670082936,43.1635252849436,42.73225107061399,42.76794211300804,47.02640597828603,50.23283499637552,51.57188373437586,54.4691205262773,58.20722558571417,55.97985291119065,51.6086987508207,54.6908570072511,56.46663830375141,51.70046689551459,50.543308542402926,54.18878698980719,53.3067367836552,49.65502563604504,53.389921282102925,55.023836749621175,51.723217654151085,50.83975575594059,54.15916379101432,51.71797827274301,54.041113608299305,52.73509499347775,54.609315455238956,53.083287482380726,47.92074515251477,49.83176607531188,49.9076822554682,46.87405374783094,44.55454971107482,48.58079667386816,46.224675049806116,41.51144292398674,42.61764656027327,45.618110983782636,42.89705049263878,39.325708055001414,36.25523268599674,36.647896360645525,33.095019256198086,37.067094573362915,33.72725960126606,36.47954085240615,35.49147408477558,31.334349423621845,31.61362807494089,31.02835326761255,31.89156569569942,36.459438397163154,34.96572267643142,38.160237861547074,35.65181762290476,39.15557718088615,42.760871593716864,45.79308450523052,47.59872978307661,43.508024075553685,45.15412638208912,49.18803663717377,47.761440764120195,45.44983713670963,49.39598597852837,52.10177149446079,52.87946307651649,52.878110306373564,51.937048224222096],[31.043031597874414,29.34477973942201,28.8805325525258,24.584958102124993,27.525674519979514,29.958547271145925,30.53722726562935,35.077948180029885,33.8119092794601,32.905555557333464,35.600538555837396,39.45574913327719,37.04483647806019,34.020112392928745,38.98115179429823,40.43559275505236,36.824718058460824,39.60191332726885,38.87348476329092,41.57016707523554,42.68553668244402,45.742858627585235,44.98452027540143,42.36377001191168,41.21714928578998,38.211846295372524,38.11659932468761,36.412553284845316,39.62748539106772,41.54268564991354,44.637112689470676,45.84210498898277,49.69627687530196,51.97224755784573,49.19694414977721,45.809598223979116,46.15789925642077,43.760399568082384,41.95626250928178,46.980558055492104,41.62503455060843,43.36335130181913,47.40887434208839,45.198156719099714,44.25882154425748,41.545075749721896,44.865160358628366,47.12436089157929,43.16866007432832,45.769994398620774,50.00123322917608,49.18901782181181,53.65402760420138,49.55030324889289,55.74613634001544,56.66220163001516,52.43519969103845,53.61391432078709,57.94234318161977,56.15992370904795,52.29193469827504,54.8495310629492,54.143094314757036,53.84477503531645,51.005138830717506,48.83031882345345,45.23610928333117,44.57297276757508,40.846497568579665,40.731527100901886,38.51552929795107,40.06994776577177,43.48474042267064,45.606810012744894,46.751319533175916,52.4494884037255,51.29773618114124,55.27860807897454,53.841008134428286,53.86471657974425,53.448332487758115,51.93653524507691,51.43892264889285,50.70267241709622,46.64604547497644,46.77666141224444,47.71220515084927,50.585250447973806,48.70301687135727,53.405423283180205,50.58568122026293,53.1786485181178,50.77402997811937,50.157584362159184,45.80470610451711,46.58945132103357,42.54819412372666,46.13546087719428,44.47552347242582,47.523628779621525,47.272247012575725,47.18183278678983,46.982690566666925,45.67962043798767,46.50908737679763,42.63022155849414,44.89818958801493,42.380114374158374,39.16232347376378,40.45605935724866,36.456041732912,35.46378620717771,33.45107640174499,31.40416634659048,31.7674002544916,29.249702499877195,31.86014302513055,29.258424921322046,33.518615876615605,34.81335587177188,31.501599822246916,30.657961789500263,26.314043579137696,26.722273280270755,27.503584393446964,27.71814775220527,30.54183819258968,31.806306191861516,34.24154806459122,38.30032578408525,35.548617304083486,40.00812128251539,39.00044600971451,41.94892613228992,36.29069820371649,33.51664613510095,29.878013492916438,27.944547544005946,25.64213499394635,28.803981535440318,26.473257117179642,30.374295173328655,32.74425841195702,32.34491541957364,36.116609879131666,37.11930863896727,34.36309504422977,36.143099445638605,37.03119687374768,36.31763766597569,38.95822941334065,39.942700592203934,44.82548765254374,45.493612286912246,45.58968278381041,45.35108680024152,42.296333177787254,42.63313064254568,41.740879364953244,40.61527289608471,37.51212651299387,39.746572656271674,35.309019516297795,39.9972397011788,37.73986629102616,32.99732168390966,35.15631149508081,33.647729791354195,31.813448732867375,29.483402322490583,32.109087639374266,32.0064199434279,37.19464529185918,40.17565629352095,42.56943368374219,45.17719490329942,44.39804773002752,49.54027097967791,47.1478946114194,48.19779396081946,44.16397997919969,42.66339124145547,44.56866038971725,45.16015248932658,42.08746949630893,44.52118664927479,44.02106609398388,46.16657026823929,41.56009016457325,43.20686145285931,42.463928993034095,41.91291991059487,40.46393970940017,39.088653397525945,39.94338999221048,39.820213527540574,35.73909882146949,38.225957807710955,36.279662651216235,38.03491808709806,40.54137550225835,41.876139912044486,38.06298202178719,36.887235543333745,41.06914196011916,39.54133600293258,33.92460008384465,37.875245788761575,42.758873362406504,37.81803948418165,36.85439237724468,40.69635092990165,40.76237525644262,36.53068144963242,38.23278895759,35.799066206139436,41.48350969907014,36.2721031050222,38.47137315726672,42.58678210129395,45.21868190227334,48.977081228619255,49.57296869787693,51.303882380839724,49.916910886201265,52.40074714274483,50.88067582685978,52.58125672156695,50.406250976444475,45.34739947304017,47.467676791919644,48.02098139504055,43.701576219709104,42.35088173810503,44.479174288582016,41.99488429997885,38.31050928930824,38.067213927751226,38.03454995003094,42.481353839359045,45.612025629201405,46.94103467702492,49.95286797215747,53.69321216959652,51.62928047790386,47.17072922466915,50.19862945942157,52.14413857647015,47.4594589811699,46.15559713646419,49.893622243321545,49.16049465546934,45.42931136810219,49.038423977235794,50.827732538951395,47.695124917986476,46.58896558918247,49.810707207040934,47.25260722567107,49.479519965732635,48.15745250435195,49.90571890088482,48.402929361043974,43.29208472462561,45.095889024463915,45.10844375266399,42.1168793662527,39.763272969409165,43.7064456005067,41.35979144755493,36.669600901255826,37.7357867877265,40.70954343839704,38.012279940446206,34.44313332329229,31.43888430594332,31.84423720142719,28.37808847736365,32.45434785566359,29.18805903959997,31.930818964699316,31.22975564077731,26.978306804481466,27.054661564522057,26.27117156964232,27.114770507258243,31.720632219707987,30.475110059904374,33.72702306585371,31.49633941524918,35.002234542281215,38.754423416163064,41.670136829116025,43.73898183045628,39.76448577272796,41.18483709365197,45.28703278563994,44.22564701306077,41.77796090942026,45.550438840744924,48.45523291393127,49.36282083266083,49.3840249331841,48.50423670981533],[35.876603152263236,33.86503252054523,32.7664688158368,28.521691553432245,30.512073379449955,33.545870018720166,33.61729445469125,38.1070295750621,36.986136416095526,35.496878993822314,38.209908940418146,42.167846182710306,39.08721657218304,36.130149655865594,40.86132613952891,42.086530540572475,38.05640449919242,40.33922076621475,38.89056579306151,41.44258444102457,42.0474979466822,44.7558178746248,43.67000915994866,40.70890907150172,39.97850205386057,37.413629748129175,37.716249541201805,36.63560674036459,40.270069043691194,42.67843646597702,45.85289136031615,47.34188908220733,51.27812232188477,53.0943856744754,50.14975392432613,46.454380582479516,47.03844323988213,43.92646564385778,41.824552425324136,46.460102071961074,40.8082328648052,42.60820174172567,46.3935367872407,43.807724756593316,42.38442950616833,39.46213384634079,42.45419458146713,45.20660412726728,41.57315943549747,43.6900525778544,48.157588099345894,47.737790339814296,52.25164739163723,48.57685231646512,54.867653511063104,55.36820148575627,51.17481373741074,52.89836589371874,57.010105746016414,54.72506163565502,51.18126114937853,54.06643375136068,53.779256313712054,53.0354939010848,50.02187940788843,48.30355808724141,44.82863976792145,44.730667100998176,41.055424227544464,41.56997176117392,39.21118901276282,40.737107301644585,44.2048296296615,45.754242964615734,47.27113019186058,52.72743635933669,51.341894216050676,55.56300419166997,53.95926409870506,53.619648051296764,53.56432272289687,51.777728972469745,51.84870812740438,50.781794796477,46.53308511451714,47.02367617097702,47.68417047800578,51.07553657973933,48.93022385161599,54.02492746618392,51.257751309026794,53.905227871493956,51.86349023191391,51.61114945349309,47.47371513151373,48.54591611117501,44.69482645410062,48.21047143113673,46.81456000044984,50.22460282737427,49.271652014318725,49.39120203057567,48.55491250771664,47.48540391262858,47.714863923925684,44.22890203264764,46.530692111702656,43.78376321655684,41.011931959862224,42.52789890233765,38.819078979094016,37.34139456055675,35.74256099308724,33.102875810076206,33.40937959493339,30.398013064457782,32.57413778691973,29.405607557567965,33.34233127288397,35.40347106856756,32.32547246312882,32.038749185570985,27.5822733262007,28.472632192103863,29.856514441461282,29.521362573480005,33.09529421154272,33.65686791310835,35.94606411360359,39.52636413091784,36.662564523982056,40.93109328179925,39.34718587526066,42.551406691719144,36.704774030595225,34.27474535491187,30.68248724948572,28.67975822649209,26.29906727459017,29.07803573084243,25.938113070132303,29.178343442676578,32.13078579783952,32.23825616291019,35.89347453381479,37.56225797307633,35.05685522501058,37.43239135910082,38.63140843581892,38.53995748433798,41.446351093329454,42.88165675037055,47.76161367461591,48.91366057100424,48.73590655200399,48.056519325947576,44.71424039264935,44.90077188701559,43.545813922167774,42.244098030882874,38.48070868402847,40.36285502708188,35.41055489506652,39.871888609467455,37.1154629117679,32.14880203010686,34.33002768793647,32.213343348974306,30.916365527122746,28.928531603879005,31.903076769994094,32.07302105630329,37.2074446099026,40.458046542384494,43.07170831331796,46.068448533992,45.46124068465382,50.476351034459256,47.56670252525443,48.7097093834702,44.20986520223077,43.41644688125971,44.70948788968231,44.85980719239042,41.74070956081046,43.752403869090095,43.25955262637155,44.82371001662995,39.78568522775313,41.63143305910096,40.78345611067231,40.803537104749836,39.51877581452491,38.58581155923108,39.75183673669448,39.883709523406864,36.245444246698185,39.16082995725412,37.78615825506982,39.85744277828267,42.609875913057294,44.25565497404754,40.52391855347981,39.491421108366175,43.84823544898999,42.65709626221074,37.20943303851391,41.1556419917552,46.19078404310096,41.60976028425712,40.76967894334666,44.668831880760735,44.89853814985536,40.89547483789529,42.61322986118135,39.953114188728264,45.57300519717276,39.92841752444858,41.93301011286778,46.104533177961414,48.272745579238006,52.22315484544556,52.409725590503726,54.01521128297049,52.31666189868302,54.53347553962084,52.88584571367191,54.20166384865611,52.20703561261835,47.30529719334344,49.01296180603711,49.25163504498228,45.194011090789125,43.73813977497163,45.341852005646494,42.8840847223591,39.55519265317324,38.85806945503047,39.645445460280364,43.84119086014789,47.01788368917429,48.89643885582708,51.82641166832537,55.85876488877349,53.72423124624141,49.30794174447215,52.765571587617444,54.77954701199679,50.14716538899874,49.07792073320412,53.079486672277156,52.52620725030898,48.876250239378514,52.496737783273595,54.512658028693416,51.65834753037903,50.45293876336932,53.56965982523494,50.82153989305021,52.707299668145254,51.07175613508607,52.586296810924026,51.47784440996523,46.39755670547901,47.66927984830785,47.788665119744515,45.051504105465035,42.272222379957746,45.882813800157024,43.86347371511553,39.304038163082886,39.70605222276721,42.58163793476946,40.239210502523136,36.861866927599465,34.36361050301548,34.57963206497732,31.643722689595222,36.051154906829375,33.05216064147118,35.5819310867816,35.24740254519248,31.079196583989162,30.635418875801733,29.454194467155443,29.801352951937513,34.31811737097438,33.024157519794464,35.80705677569255,33.75252637821827,38.04434387009719,41.55538013341642,44.571144268599674,46.60870288664436,43.04616347418918,44.70519251480755,48.693624027240034,47.668204018756136,45.705318712056894,49.398256992284665,52.32572698139259,53.34243919615055,53.28723805898534,52.37571449523717],[36.674591789699875,34.84216253990944,33.860251786924536,29.311949174379233,31.246362476931218,33.58385299572283,33.27380133829267,37.60691321289874,35.96613218284236,34.108182197567224,36.49510897776266,40.636822103526086,37.572046437706014,34.21634886648757,38.74893013202308,40.19362424998902,36.18901870273816,38.155288244314264,36.45919532912103,39.36362421040309,39.74348531687094,42.70217493561947,41.396511630171,38.52974820247081,38.06434583139149,35.30527284352832,35.98342875029592,34.90149678505314,38.48314332406062,41.079503018369145,43.654546063020724,45.638691479140675,49.37454995088782,51.01281366541035,48.309699237831964,44.560464685865284,45.57174071207751,42.411563686802964,40.5531814376616,45.482000977107226,39.68395625609915,40.978080553291996,44.84857753279267,42.46463030598376,40.943620953495206,38.3281604028768,41.36689121783638,44.06213158726236,40.763851403739004,43.22549551316979,47.603926533816775,46.989965145452175,51.29966580075777,47.59857976844542,53.84200296987023,54.09063197967828,49.7517000372746,51.384837638724335,55.4120781220778,53.080171623833486,49.294454238097934,51.90347035044421,51.52121538769171,50.521938232621345,47.73962468062105,46.14678362968695,42.25565346346217,42.25897382294471,38.285495150761584,38.837250259540454,36.279905576710476,37.48450468170028,41.185528177771836,42.76762817684837,44.60855227018568,49.978937811603,48.95342618512299,53.22322085050768,51.90024962086049,51.78447940050238,52.03146156206771,50.58688653579132,50.875499505441915,50.098051128700575,45.821049101943565,45.95265914872564,46.21038850157873,49.58994661116955,47.0056960579954,51.96877608523801,48.9385796387516,51.28433824133584,49.3047957680006,49.25008557018478,45.24188234642787,46.1362816848267,42.418578474804114,46.3173869862709,45.21089932969415,48.96379012726278,47.97098647313042,48.63404352644037,47.66859181217538,47.13430511160033,47.71001182386664,44.40834243946184,47.114380208157165,44.64768761099575,41.93632269315041,43.027021201670784,39.25903519160065,37.36622591638281,35.37493542895615,32.59099019180564,32.20976076831911,29.151164843349303,30.900220019284806,27.67318343186381,30.991220646001633,33.15453764645523,30.00281684848188,30.006590214221635,25.836978069981566,27.204443520714378,28.9999399165097,29.270184063177844,33.30743443144047,34.00319459978409,36.63384403747192,40.11825757280036,37.83158386659343,42.203621243124196,40.481478260113434,43.27927114545172,37.45818407274634,34.67273675173026,31.71665568312429,29.015232673066315,26.129021901855722,28.559850620402024,24.927690315388833,28.03297826272738,30.70131384310204,31.118072773957707,34.7796181723311,36.29589297655278,33.96379820202316,36.43247739265007,37.995257938605775,37.812452245541856,41.08587783494936,42.198894868426436,47.274772978821154,48.37733805330356,47.731147634351856,47.144439213468225,43.680521812991365,44.27540280520186,42.601028014873656,41.892158675061836,38.1150362031714,39.50103744250686,34.75486290292515,39.20760468791693,36.95300747879961,32.12472614017334,34.87592601996948,32.99985066629877,32.06903322905564,29.660710968570918,32.60928626248997,32.25712231208206,37.22405496918916,40.30135046629179,42.63326944807295,45.63580351916485,44.59204067340366,49.77750775390723,46.956792085421064,48.397039912616535,44.0928349726961,43.53581837249274,45.15465150191429,45.43731461028736,42.1299478581521,43.69428196754453,42.718426377529276,44.56866164666372,39.504411923490764,41.8312351766174,41.38573475625327,41.332703022340084,40.51904209383309,39.76628200380172,41.16530809134246,41.664725707802965,37.98192482979903,41.00199441826213,39.74007807899615,41.3842265765958,44.49132275453068,45.75073692413763,41.86409868891925,41.31846156068751,45.67628486415714,44.08056199554652,38.845121214011215,43.067816499474105,47.819789359773594,42.9640458610386,42.41791039508583,46.3700308175646,46.162719752102326,42.195400007217984,44.3170997958867,41.87688119462327,47.6284198223975,42.498247812112325,44.31126454097444,48.49913433416352,50.97770039163194,55.030001808531374,55.29108365358745,56.63151980322104,54.880850216085996,57.03903586630971,55.10595994107689,56.673978129382256,54.9201044429534,49.74775886404859,51.36460952678283,51.994849762424465,47.974329876736284,46.23745073681851,47.86073252285711,45.838372652992945,42.42016258723558,41.235183657960754,41.92083607815474,45.68464991613703,49.02531268912928,50.83982998562806,53.51084266672466,57.519333718407424,55.056425670062346,50.81242712082597,54.3972831528379,56.07552672290508,51.29517544946387,50.5362474092499,54.42149538507051,53.63887488930189,50.15549581736884,54.0549469019262,55.85344632681082,52.810063769716926,52.00651274495067,55.309116082825334,52.731064772483805,54.69288772700339,52.96815532607638,54.78646175313299,53.77554886083534,48.495587343364676,49.9329608870493,50.358865734502395,47.55249776143986,44.70398291197852,48.67888914420657,46.83883397083462,42.04502389814048,42.503363456669355,45.73494645280231,43.50361365643706,39.94803579240149,37.15496500303516,37.84913619506798,34.675796047263916,38.86611123008279,35.41981935642372,37.69531606239255,36.829163263053324,32.93359951039264,32.65089057453246,31.942739030598368,32.15048664697737,36.552929881391975,34.63853559790674,37.313958961204214,34.75097171187862,39.07493539516839,42.321114886570086,45.536713527978755,47.16580799616584,43.49163272279712,45.550405936654656,49.40816041185111,47.86619285604806,46.2432178653135,50.17513419612343,52.820275421656746,53.705883735136105,53.59863338475502,52.61574020721146],[31.942905616140475,30.038234778376864,28.973188481682687,24.370465064293544,26.32253638896991,28.564309275322273,28.3251091038316,32.70119301217202,31.16806428464667,29.52613279903544,32.07016687962488,36.1177228534132,33.19933306559214,30.002052227898552,34.736464434091275,36.142535524338136,32.27571231505571,34.657126541783114,33.51621728955557,36.314166448792015,37.17472402985767,40.258243733139885,39.339258665013006,36.70541560172503,35.73623140430584,32.72789191731653,32.931334961974954,31.443590579885196,34.829500951097636,37.108862458725746,39.95930269424896,41.57261969847662,45.38418159149963,47.31304895058634,44.558148932181304,40.97985735744545,41.686832563716116,38.928012530843624,37.160210368252585,42.272161561961646,36.71135874393364,38.15127062542498,42.18946993933666,40.01865140012028,38.94682994528947,36.40306732260991,39.739302257514574,41.997792444201785,38.316685311410914,41.119547123354856,45.31626391315867,44.41838932040461,48.75150130066688,44.71861752556148,50.917393235201104,51.563946910571765,47.24596988592922,48.505918899960854,52.734492587024405,50.813173293852216,46.87468267157366,49.386447420786745,48.76214837251775,48.23860522889215,45.434758362095174,43.42939754463168,39.70529433002384,39.27596646841666,35.47353528257245,35.66202552218991,33.330755766578044,34.859785472104086,38.31561527047726,40.18248938652299,41.559397797716144,47.14153253618507,46.004216277208485,50.110109162674235,48.72267341743384,48.72363977355395,48.61280334547042,47.21324238876852,47.09689384108391,46.43900955626321,42.27682819672959,42.28126445015345,42.84202474845367,45.930336574589425,43.68162012023732,48.505467889409154,45.590178997694764,48.113519812890495,45.91406833312517,45.573977907193495,41.39346681343243,42.31629719530443,38.44690744659305,42.14539256144823,40.82001354963964,44.35685639475227,43.56514164977864,44.002133150193956,43.29247535847372,42.56078023651256,43.35127835599674,39.86513402269346,42.5697744673879,40.2154581550997,37.33787989754822,38.31448826268973,34.44846023218588,32.70381216708672,30.605320944180928,28.02766967338151,27.830534476198196,24.974426971181003,27.114453898661324,24.212939561634457,28.095198004954415,29.74688947845916,26.501129747863445,26.08063881897995,21.77516999764261,22.770547550772598,24.272143715954503,24.615759307633915,28.428120374219613,29.33783010308522,32.051014929628195,35.73020793542559,33.56118189657882,38.04481150616326,36.59056316047403,39.20951146505577,33.47875537640546,30.484083048580676,27.556778824536067,24.812916783013158,21.959637433953453,24.664555199412106,21.641190872754567,25.315475257067334,27.648727088306572,27.61507934935771,31.370244825220325,32.53429294551458,29.99816721125844,32.16382048726964,33.51792530331053,33.1356629424568,36.28068726679226,37.35757359224174,42.4061563646497,43.46248036197588,42.96054767032511,42.41834158467076,39.049071523456924,39.585693189457245,38.13461409289776,37.37309580772024,33.87602775948012,35.54284749826846,31.02521928814534,35.64018197120994,33.62962127479214,28.93239672607806,31.657148903121026,30.243713355766886,28.947329718012245,26.250074740570895,28.977288470738667,28.44307713900785,33.46966116013012,36.41157381560869,38.66378416117078,41.47015745003519,40.42689658282185,45.651095552387886,43.07758260073614,44.42151284069855,40.35076336011344,39.37951794380677,41.33332691584353,41.88947901818466,38.60272517436045,40.4803870809692,39.56728671413447,41.808667797588974,37.093438931937,39.203866553197635,38.834842108158185,38.333831505163054,37.42668803134701,36.39260123275515,37.63792233503256,38.07808336565188,34.14314426236898,36.98726346007774,35.531722520116624,36.921841822267844,40.067285301180156,41.11412757876205,37.16642510817317,36.74982990208601,41.06910365142084,39.28705891997254,34.12237785827624,38.45323260372363,43.06773568639077,38.12828419517781,37.70891040677946,41.682486505842775,41.32901885487135,37.434486275870455,39.73672229464701,37.36379696462687,43.16079171459647,38.34276788842987,39.96676016670474,44.1554755850391,46.83281609415536,50.96528498659991,51.28054487944474,52.42895020860677,50.69086450855066,52.86947239209185,50.82961002643051,52.63798072898465,50.963343008102036,45.60047958229665,47.29895200196715,48.250308640041325,44.166141970306214,42.30825112032819,44.15227517320546,42.37260730580917,38.766426945902694,37.49985644511038,37.80975679514602,41.48919157799412,44.867935162709514,46.46627103202768,49.07479140235969,52.98615509696829,50.45904988750326,46.24253719140983,49.752830288273394,51.325859850966104,46.50120133838713,45.77312965249821,49.588704016930436,48.734144245681776,45.28739764889483,49.2682546560892,50.99324254824318,47.91334299941866,47.231386995343826,50.59734569586312,48.091763274837646,50.09053506181774,48.35878272805621,50.34738576357035,49.346587428559175,43.96715341943818,45.55252853725741,46.139963106255486,43.274536428480104,40.44059105829149,44.69827935807284,42.952977366037594,37.98298081037979,38.58917840809499,42.105516638749656,39.93025426176722,36.2058671404368,33.14933173885336,34.31771301045426,30.975127429774197,34.965005186095524,31.18954659928662,33.22613285418442,32.12869717389458,28.419067912856836,28.14875009664626,27.741884950058722,27.871495348708386,32.19292625744044,30.013682994815564,32.766261094025666,30.02985108743383,34.19444876630613,37.440322578206825,40.667131678269534,42.259489831924746,38.50953324094552,40.5905777119056,44.438752160584045,42.866419286247776,41.24829100894036,45.201843181688176,47.821210942809124,48.702632271283925,48.6017859455271,47.63001004878522],[32.62543132168203,30.313393455467743,28.648189587396953,24.389955930418232,25.669457955242947,28.961689217245112,28.740978751066848,33.18488867405444,32.31744913226253,30.70215493508615,33.58356764380181,37.437842580093054,34.10004433268289,31.445285639371043,36.18719068047164,37.183562335127945,33.08410487159062,35.512613261587575,34.28387066369466,36.581372355961676,37.44712248900019,40.07976932763108,39.27547160463397,36.41821290502306,35.32304180351087,32.73966768706326,32.7107877756225,31.55040707656509,35.185270818015404,37.51290211342099,41.04842808959111,42.2625499848099,46.31228227818482,48.16229730591153,45.06613764042504,41.4043532515827,41.77439549729288,38.71070040073902,36.5515172630217,41.16720446953336,35.639875362932536,37.625990613648625,41.4470380653454,38.92606546523565,37.77965498157774,34.857681632173374,38.04165264488858,40.509794889242066,36.61721901076518,38.92800592684065,43.28340253540322,42.7082874207732,47.25008923059963,43.41575690643696,49.688673904323494,50.41810782892836,46.26697415733675,47.83856723018498,52.0548269554244,49.98950159966365,46.440374446981274,49.3789120947639,49.0464776477065,48.61520495505645,45.48908405754649,43.55094445839385,40.37571040941037,40.10886360646624,36.721051158973985,37.20756243327726,35.06873319110615,36.965854546502506,40.11418312979208,41.61440586890998,42.78521542628941,48.30312797827056,46.639723368253456,50.78839207166089,49.01463249652825,48.601704923115115,48.344606068532734,46.47109501827577,46.41255602039182,45.31290053209042,41.09817081519044,41.630370613663196,42.46667355354021,45.81037872707509,43.90662477271421,49.048202894065675,46.47088024814645,49.353587113474866,47.296371180071155,46.9396636394913,42.775535498601,44.073913747374064,40.21221585982191,43.38749291848392,41.92217031329195,45.29634953139556,44.10927115391685,44.118296123386784,43.161726372797006,42.04806851010107,42.1754953244771,38.753065888616625,41.11819989273787,38.40722216503572,35.7398572867549,37.203153650413945,33.585604178105534,31.93081554629598,30.488690667809948,27.713157784501508,28.21002856891561,25.150997560808456,27.478811480772816,24.372619747556897,28.73615109389942,30.65717865940201,27.690169704421017,27.27219562304002,22.66484351341651,23.392551120284335,24.800907729396286,24.142895552633217,27.939827680442665,28.271457183552183,30.580022848841487,34.05822129205506,31.35510383728731,35.65730417499558,34.01612820433021,37.08895366798221,31.24307933982605,28.738999032992293,25.291976882575586,23.130943877248328,20.74627625842567,23.569759464632575,20.67855083161414,24.15647254436232,27.039514338934886,26.9238147211425,30.58684364477971,32.241420066843354,29.680684535645184,32.06506993132347,33.2171261210034,33.31255457496016,36.23218665960808,37.91674876788672,42.73061592182323,44.163516069056755,43.94310753845276,43.014327105341316,39.61061209697756,39.634448375207924,38.23201673887091,36.78327314230353,32.944508804263876,34.90261308863605,29.937243980991884,34.42930307672779,31.713829770303615,26.793517764293906,29.0227294486047,27.167912134003487,25.782534077491405,23.56345441915492,26.477170969362724,26.53859701974071,31.683512270427485,34.912146977721015,37.53443169038298,40.528488338850615,40.008825951401896,44.97442560209329,42.05621517856084,43.16307700507456,38.691701713106795,37.86038681775459,39.22271998798945,39.46560586552121,36.31565782583178,38.40342234568945,37.94015913493216,39.679674661210385,34.83595471452812,36.58638676966226,35.84465975645686,35.611009403619995,34.38744395503532,33.39329919131189,34.60381753172522,34.902208334751975,31.201281218644326,34.19698234807674,32.977327993174825,34.84398517529492,37.888865955057334,39.39162164374057,35.615400607666075,34.945346071299575,39.37314511706043,38.1003840075559,32.9185074678281,37.051903850645026,41.950788818509835,37.48234752990867,36.956138318443045,40.92998588221391,41.00569677700325,37.29034877321854,39.33058980013584,36.639565730936674,42.29713274617418,36.889235115400766,38.43736165320105,42.656453685010746,44.8459465535273,49.0856802378519,49.06835716746333,50.23939520414555,48.32000068821457,50.36253693059124,48.40300284688322,49.84983535736089,48.15521244355801,43.020175039082815,44.53159090669387,45.10772689596601,41.1470026409655,39.36866119629147,40.926648838166656,38.95073503585119,35.56757185078951,34.306198590729316,35.11751636645913,38.92823510007894,42.228121579173006,44.17988941150271,46.912453552791575,51.009892561836224,48.6749495498958,44.361620405568566,48.044240976928236,49.89711351330251,45.222076241707974,44.41858531405991,48.48870214221554,47.929119224522,44.42275866338179,48.20765916357838,50.24482942614161,47.51720632526865,46.47796838530701,49.637761821614085,46.88817089323204,48.5916140827837,46.7011166815263,48.35178131595667,47.56438295964314,42.32220299284165,43.45326020918843,43.95128139049178,41.295023882821994,38.2099968970715,42.079089344562476,40.477964089890584,35.69076097299515,35.842225624289625,39.16285453678067,37.187245208377895,33.64413620006067,31.050487048208964,31.954275211106083,29.08647225349221,33.39161790097897,30.011038154098344,31.995510064646627,31.523903340847383,27.72446401436531,26.93879969487366,25.975934596551184,25.819176079398442,30.136869688334414,28.336754174441598,30.862725921037114,28.640533194725812,33.2766859694964,36.56503872154787,39.68370675973968,41.58912759393128,38.22833067301034,40.129955852004876,43.99171199803463,42.89547898730511,41.341990011790735,45.02135750557266,47.88176247316589,48.95917931294678,48.848342830948525,47.93185836908285],[36.71037550677451,34.380031016142766,32.495800548902665,28.15760186156282,28.854786049096504,32.00342356895036,31.23658970583889,35.47909210693995,34.38095576308261,32.16468318852911,34.80815332163002,38.80786952284669,35.05069098095293,32.22034402900975,36.613481410125495,37.57328132325239,33.22104857818536,35.043068013831515,33.10241947082912,35.4926817777364,35.803178530719116,38.30614259572257,37.10202241203009,34.03154044376491,33.447808279964526,31.11133768191604,31.65277777064696,31.005104070597554,34.90132532780886,37.70708507399292,40.88867921903512,42.61991445303723,46.573692638108966,47.96302331257872,44.911719048982015,41.00560728829039,41.82775749398176,38.205984811015746,35.98799114508387,40.463805550163244,34.63064074953635,36.32081005565949,39.976145165578245,37.293538417012215,35.6904216526136,32.80346388042464,35.746906794712274,38.57954307479513,35.18235477416114,37.32638312394655,41.80215029425847,41.413522724720806,45.846388125659644,42.34500273359463,48.6418500880747,48.88189913083685,44.66923964461244,46.60659225372142,50.59006190536294,48.105296191826184,44.661003702368845,47.67455997032675,47.60761667557661,46.67392274819712,43.56194992567994,42.06589213071662,38.73590852977404,38.975988187700345,35.46471384293719,36.458386539373144,34.10663099898025,35.775927166838684,39.07926462735198,40.15023431127874,41.798357153097314,47.05486182031402,45.441005154406625,49.78769840841707,48.070881624158375,47.52370222817332,47.73867035562084,45.88477430266084,46.40391532873677,45.24888083227946,40.89162845807138,41.46105191885916,41.815159000666036,45.531814997657655,43.1539074047371,48.48586394523894,45.79432944090274,48.517031515345806,46.7784298470168,46.81539668646825,42.91593024643361,44.30108583717451,40.68821379990021,44.03030183104046,42.94739927827706,46.76416657329949,45.072713755843985,45.57909713543487,44.09374077307341,43.50473323770599,43.42501587834891,40.440936072283066,43.06633447430559,40.40527728229329,38.1239543387414,39.44868282321816,36.04035891158851,33.807522666237055,32.41896178486379,29.179057848315562,29.16407880653657,25.758459448002217,27.416402842339473,23.858728962250087,27.494528402526146,30.080252402048245,27.288768361306275,27.49640455473745,23.085644069518782,24.481422118255956,26.56133037714778,25.94141284305798,30.471830696939925,30.407593310100275,32.79330058425316,35.809145577269696,33.449298626124865,37.611665107862954,35.47773273726234,38.43037764697651,32.54202640914132,30.10218320263168,27.202341674297095,24.564427576224144,21.831852909228452,24.019426663851124,20.14799065003387,22.89374842972116,26.05572671565484,26.57844254686692,30.106938831539235,32.17478764465378,29.959874306708702,32.82986875346926,34.43778624118323,34.91567896135053,38.21939994729196,39.978779369540334,44.8694231631521,46.57338090600074,45.88133558596727,44.725670300202815,41.07813137498057,41.2610782747841,39.33842438480834,38.166802997775704,33.88029450450518,35.21341348310105,30.04182952618496,34.29678113169863,31.55293271364012,26.604132397149694,29.228298071507915,27.066717622403875,26.420284848066675,24.229645618481733,27.345691466695513,27.256197704146405,32.15855567110039,35.440172911617495,38.01469316910803,41.27894990400742,40.60419165344281,45.548290808526154,42.32096103613652,43.68642758650182,39.02662193314412,38.900165735750114,40.003429460086046,39.99451415629055,36.71019679134133,38.140820199953545,37.35683973708455,38.816142419982825,33.622756500068476,35.8644511243607,35.32299500549251,35.50309626146741,34.750121229138585,34.241994088606724,35.83600201455576,36.568320052209586,33.22677631646674,36.54801835191072,35.81632022395948,37.60249573748398,40.98443864468828,42.43855044093305,38.668958137685685,38.39022523372664,42.87111516980847,41.58198544469945,36.68611714098915,40.921768170683606,45.70138371260677,41.322289175347485,41.03132191308917,45.03194953987747,44.95299492440362,41.402658127520255,43.65127625627742,40.98186390150677,46.63672637547736,41.2986808023535,42.64148198940345,46.86575959129402,48.93860998710452,53.30842199858509,53.09545821279335,54.04417819051135,51.91780296291656,53.74248808125297,51.55003207282861,52.878403242775796,51.45555232813278,46.31483289984155,47.48553756569234,48.07489570263621,44.350733118518164,42.36079868094444,43.554952894801744,41.877529263474514,38.72821718337257,36.88887698964106,38.185203387527224,41.51059869003328,44.90381510981565,47.16705008695159,49.662344386268444,53.908129836348195,51.342816937829724,47.20183638156743,51.210949489292496,52.892514267774395,48.19849417476734,47.7381824984257,51.87161642269704,51.290990545215145,47.9589800419841,51.88525856780252,53.91887875125208,51.26095149433161,50.400671360099054,53.585615788498316,50.837987953866445,52.371891042879966,50.253735624342475,51.92022673613689,51.43362924951709,46.141089268798815,47.03209469547861,47.76039890952292,45.2418448974723,41.897566607507116,45.719536056268154,44.42549315437389,39.64725216808327,39.42772649532423,42.83494840339665,41.14752279243795,37.672688964966454,35.25050559502642,36.25148968242977,33.57783954934116,37.90670255182702,34.48890784375866,36.2293938566948,35.669852966863104,32.092837131378374,31.1577690656956,30.24638941252318,29.762402874400422,33.88382715848493,31.73290611761542,33.84759354121522,31.46707785855536,36.54004143273593,39.47055683529905,42.738586065514625,44.35280008123369,41.21907531972301,43.49026370649977,47.168166602339774,45.78717365186766,44.746617615645505,48.49345182786214,51.17704723213621,52.23068711332591,52.03882154311012,51.06246518047744],[35.99816056506011,33.63140772500792,31.549422172922526,27.148819604109153,27.41682057190134,30.336013586606786,29.212478645262955,33.30380081300677,32.10485849056999,29.612196227417765,32.169419023698964,36.187762330097705,32.2638856208608,29.4216700569234,33.68544845539516,34.60442260391328,30.19636278125947,31.894345428369878,29.887138818200906,32.304415202593816,32.61141832676306,35.183131988184265,34.00367899716252,31.00488098735504,30.370109685455912,27.942902814428635,28.52685777375686,27.888291912347782,31.799756633627293,34.69752260941208,37.786963105049686,39.628645053657074,43.54975487796767,44.841537913805944,41.81213872827031,37.873590013813406,38.80855507664406,35.13492692320846,32.98652506157535,37.58217945919302,31.713427783153506,33.24919341034978,36.9631354291804,34.388921575144046,32.85829929251436,30.114840653503972,33.18338740836167,35.85682973206176,32.50283618093296,34.91396908644535,39.29593422487246,38.74037258579978,43.091999622036184,39.50930957410507,45.78591743965502,46.00268291358595,41.7354616277954,43.578856871146705,47.57112947731217,45.152841065729376,41.59562669473612,44.529401840303755,44.415897768814645,43.50551768634445,40.42334230159808,38.88936632007564,35.52378222878989,35.75997262917991,32.2635493114722,33.31571922843013,30.980610012466837,32.7136010794654,35.94813130365793,36.96392762294509,38.59992180055458,43.84210490125195,42.22546538359392,46.578052884088414,44.88968799596435,44.38826507754244,44.663384262911265,42.9135817101467,43.506023856193934,42.46094214050852,38.09554456157513,38.5267026033692,38.75447694773998,42.47652858856732,39.994255099588436,45.3207473767651,42.60786851099772,45.32385603907318,43.62874544761187,43.725901020777485,39.889876371075154,41.334206243839816,37.79834310597738,41.12486955215797,40.163760998864404,44.135891399305805,42.26250453162667,42.98458338846563,41.33805682300533,41.005892456575175,41.00970769180646,38.188012729201084,41.032720125982685,38.53362723168295,36.377386284364086,37.466269937273125,34.122063520096546,31.576719031980417,30.11209991997894,26.70331054669738,26.41734232374647,22.926272622917335,24.376990649785956,20.754761701001765,24.282492552871354,26.927270824667403,24.188028505551543,24.536004526786186,20.202572819515908,21.819343338763705,24.17833954752651,23.66627192959851,28.557036828960044,28.393079923687992,30.927400685688095,33.779790180461276,31.817956849777673,35.99497303922999,33.751336707465505,36.41653895461722,30.57918645678342,27.955767775994282,25.53031586730671,22.447820317940508,19.44440177282317,21.37028606392281,17.24874309637629,19.981582116101972,23.008020770745347,23.6324597964498,27.159094854415574,29.19635674438289,27.071494319506417,30.043611146698108,31.835273477192946,32.41276996058555,35.903357396442225,37.65251337934323,42.57392373752593,44.413980631444005,43.47257503712742,42.21036972792853,38.46948109167971,38.75525244935482,36.62599904672532,35.66752599768353,31.30674880547648,32.38448446414572,27.285672557045487,31.525845580127438,29.05106409989613,24.2103640819809,27.177002700358322,25.274498839074354,24.838274926386944,22.3344296520513,25.38804211352249,24.96042587227205,29.733769556932767,32.91414979893886,35.35155767866742,38.63509676763146,37.7984982374749,42.78461605631887,39.56990411878413,41.0701575069255,36.50878300922365,36.53078137562531,37.79645785010041,37.879526948078464,34.493138076963,35.696296550320554,34.67325419781687,36.34585938279496,31.220921109661433,33.682590783440595,33.4103680630462,33.44559343289443,32.991238200417975,32.57569290337297,34.314865001994605,35.321857753597186,31.986574835416558,35.376577414705146,34.80659347504214,36.28072650233544,39.94313044409676,41.147655706502064,37.324503220158384,37.45220975984376,41.924927623916936,40.43839562954236,35.82190385837926,40.2165207581026,44.76952092642629,40.37125323698078,40.35675540318569,44.37785272660676,44.04675606985697,40.67890736263206,43.22076185520474,40.64964605148644,46.324665920991904,41.33964383402869,42.392243416238024,46.60847564655916,48.79719132060699,53.30610531450075,53.03266699283043,53.67257967316614,51.433012344535506,53.13608915130024,50.68651075310881,52.16887826416498,51.00149958947144,45.67816554652796,46.69840628721962,47.60495243163673,43.977546782174116,41.73197540836234,42.8893752928182,41.64197167890696,38.4712882734159,36.160823202585085,37.431744887553855,40.33015761355209,43.831170447682055,46.09925809808591,48.36226067591288,52.612013011236556,49.81322134238467,45.82915363091563,49.99060208935225,51.437210468117094,46.685392296913605,46.5038317451232,50.599123993480134,49.92287189682132,46.75666490750856,50.856224621668844,52.79936203718565,50.14195430719189,49.53380729599353,52.795155966606366,50.132275608982894,51.59872844429088,49.33133252338452,51.17615940585685,50.88839352728268,45.47668282830012,46.35640724714238,47.38402089966825,44.89724119892303,41.40982290428263,45.462672556846265,44.44329311717688,39.5175423480524,39.202697361163466,42.91954191944318,41.45482506258877,37.877196523586726,35.328618703437606,36.79318348880337,34.08940333961379,38.238636086324306,34.52926763763195,35.90393759475047,35.07223746236193,31.828746721508388,30.82058926808686,30.214366068144095,29.4531087642768,33.35907047788901,30.722792565832112,32.60911200516507,29.940406307882405,35.166754890576655,37.819948460807076,41.20719962175252,42.55297112275626,39.50815654484649,42.072375317459034,45.598395736368104,43.95797400236612,43.29741751582637,47.115451223571455,49.62540607137275,50.651821023120355,50.4074778107447,49.40162542212163],[33.7524885651484,31.114452766597893,28.65114852593519,24.545517491781982,24.438513050593702,28.092088205318092,27.166418999631464,31.355959212636755,30.756688922939084,28.58553273427047,31.507287649891847,35.27516221560297,31.276163977212214,28.975781926007336,33.41553674424086,34.031387073376884,29.629513539713642,31.741104532031862,30.181196954926783,32.11919619802756,32.83305065606509,35.14112717214867,34.36515166577472,31.39757316459919,30.267245625741587,27.998974286505018,27.97819145209094,27.24071672374998,31.139623558697846,33.756065386428276,37.5698716305937,38.78025911039876,42.92163966644954,44.43101437183685,41.12982937227801,37.30303874243308,37.6990119538912,34.170035618819654,31.78413100699352,36.110102242320366,30.48650708108975,32.618538550218474,36.27861910714118,33.587313156012854,32.36133193833655,29.343721054131514,32.49364243720831,35.00734277648982,31.149325018882408,33.37221853444752,37.762167291348135,37.2716667682891,41.830174144917144,38.14857575534835,44.44994748486802,45.06345399424227,40.962202727236786,42.75473999941938,46.891832250677446,44.68735200626688,41.336949651386995,44.51000688175434,44.418422896627526,43.95188671690413,40.63597356272597,38.83283190141578,36.02295936902233,36.01418924034821,32.966409955546595,33.88397800903185,31.880522012115076,34.05750258481813,36.894815277785334,37.91782792387224,39.03550166458127,44.37807625266283,42.33167864036261,46.55794615631524,44.550600793826305,43.8413528020241,43.69486921703444,41.60391608425143,41.872674630282845,40.56320809955503,36.254252540392734,37.025352078929195,37.757101643454156,41.40964661056609,39.497804128815275,44.91155894057938,42.540637628819844,45.626141527663336,43.83750043807631,43.668062895171836,39.699949374951956,41.37747654905084,37.71899955257463,40.522959597697074,39.24677670515197,42.852462548150754,40.95325071960999,41.10726102187556,39.56004129767675,38.69524372471487,38.35663216474048,35.373152763157954,37.88932444761773,35.155536442364074,32.98359653571411,34.42284936126104,31.172135132512793,28.919049335202637,27.899007263104753,24.5773071268487,25.074883106671727,21.656584495123766,23.647627081935095,20.215328521766864,24.596285545408318,26.942367872229994,24.34488801844424,24.27902511518522,19.652724585009576,20.64397068700183,22.56693109316921,21.295047396076487,25.860266178893855,25.44459324555439,27.68111240979416,30.58505051080954,28.174993995798847,32.3068600316438,30.157418029155103,33.134269892889016,27.237979153066753,24.88349225203985,21.915471515233897,19.38554104077414,16.882507439583595,19.227474854338986,15.860605134141649,18.940291945445008,22.158273065750528,22.27412818936256,25.799214257476937,27.924265063717534,25.581280026925672,28.41971481993639,29.814390723377286,30.548352390130432,33.6876728243602,35.83487309287274,40.53597434384197,42.53369109654438,42.00037898714652,40.56133520876179,36.925940620590964,36.76187006724987,34.933645161843785,33.35040861195809,28.98780168681815,30.615862976146925,25.333348984405013,29.624167317319056,26.692375792360284,21.711803599949487,24.151875161820136,22.178856626077636,21.284117793767383,18.99853320868536,22.077522833748148,22.096692919206124,27.08719818164747,30.42806378305545,33.138860776463424,36.39727468708924,36.01012660884806,40.81923052670641,37.54973652309579,38.743779310952604,34.028523597064726,33.761559688873405,34.79661134586846,34.832863604622545,31.59043408135778,33.30941603178967,32.775540259873644,34.318158465608285,29.352556795086468,31.269634648034348,30.668715313147832,30.584013612795875,29.69370608892579,29.043515820250438,30.594520564427047,31.36494085882269,27.995376258774,31.358721966775658,30.77452015323984,32.5013817154423,36.02874807154338,37.47948142010072,33.76077678773769,33.676558916800985,38.18288763771879,36.987357637135375,32.351073823191705,36.60591902311931,41.30449270599919,37.1996505233534,37.1111374430533,41.109733471977435,41.05131720117712,37.81573577348691,40.18721944271142,37.445472232196444,43.00474495804519,37.77447870239246,38.72720889164198,42.9371198130646,44.891676339727915,49.461241299059395,49.026457118864485,49.64992032420531,47.34697451147036,49.012239762729486,46.633610063608124,47.990793609686946,46.780850547097444,41.5453826350874,42.54450959548265,43.32211931889714,39.70840229967202,37.51187320050613,38.641483266603025,37.30316567060467,34.165378078363986,31.927799738526822,33.296365260861606,36.35376189041345,39.79402218426294,42.14788508901313,44.5314520330231,48.83337152911767,46.206900623059546,42.1217526307912,46.28656102300077,47.930936736450775,43.278962859973916,42.96795023158062,47.188155619818794,46.696095648060975,43.46577486531042,47.41327622067344,49.537944184789616,47.09742347414661,46.24859932693372,49.376221433299705,46.58453446050074,47.9000886812222,45.58191960811497,47.253885961585546,47.04687841821355,41.71945779943242,42.39617290538405,43.37656575457564,40.98984527939849,37.40210643012298,41.302543075341134,40.36797232768386,35.516650975344916,35.017844046039734,38.69579013640519,37.35081129683151,33.83667448435927,31.483870598630812,32.957417446343186,30.504769355392888,34.715957084561275,31.179512989024705,32.437668527493166,31.962128471356174,28.737868738251148,27.417143487043106,26.56596305103784,25.610869701618793,29.46532220561351,27.05697913494013,28.878375346056764,26.558009235868738,31.945220510935975,34.70406393174343,37.97053244926401,39.59960856596694,36.75126682623607,39.08933328248792,42.658350737815255,41.42670807592648,40.67159483266781,44.27426778226468,46.98322960637891,48.146110076696274,47.92540093196844,46.98405046782513],[38.05412351704568,35.41781391430382,33.02589159663476,29.0587951424956,29.07457402448261,33.015799036986486,32.20753093284776,36.4072066289902,35.87127907351164,33.65792223103733,36.53136858528075,40.323778033296065,36.210951347237625,33.890966966102575,38.1996849663675,38.77503636676003,34.26093291954125,36.04845463945311,34.012768679014506,35.88453206030902,36.153195111915004,38.15954723307104,37.05912321527974,33.796305449807406,33.13450992524416,31.294048256360913,31.64344701675515,31.376349451041378,35.45588797685998,38.304895840485,42.04926576083994,43.43351999998503,47.558158555431184,48.8227987660454,45.48453073275483,41.52366380270268,42.058540874444994,38.1378486975612,35.56567295486776,39.469100979887415,33.71636119377678,35.89827594851451,39.26753989100998,36.246839421755816,34.54200160676977,31.303561489697348,34.01533512032898,37.07460825000891,33.5580560369995,35.13404776139507,39.75171520416944,39.72178571638612,44.31432755901792,41.08606669661116,47.40169324204851,47.67104882100784,43.65719168991736,45.924842660905554,49.839765405868135,47.192540932072774,44.18064241719386,47.595459512806336,47.83506463052312,46.967143618138266,43.569447538914865,42.18952002017446,39.42956998950419,39.85418441469506,36.783031360307504,38.06322438591186,35.91635907078371,37.89057295086896,40.86895352346367,41.564368488212835,43.02145377107181,48.1457073855256,46.04732812125584,50.40767541222071,48.339431947889594,47.384570561408445,47.49950330868562,45.203264049777246,45.83827428387734,44.25840016180603,39.87983802057106,40.96475477151202,41.5299993262461,45.488792468086146,43.42498240033941,49.022143386640174,46.66801857574726,49.69354115958188,48.12460346968508,48.1720974785821,44.344171215214175,46.063068180970156,42.50945448164371,45.35855357428367,44.19333482951152,47.86992281144265,45.78402675148785,45.948867211531876,44.18916332337584,43.31779110574622,42.58699314784248,39.76821748002862,42.081993005733366,39.13020438616077,37.15148171479393,38.88062208636311,35.79019676294113,33.589970669088466,32.83044074214656,29.42706466772693,29.97646667789489,26.44772334662176,28.16342473587812,24.48939298320244,28.41014407755846,31.226095060624154,28.767438300698146,29.008905769409587,24.480713814728976,25.65187158986556,27.654990846770378,26.18762093909079,30.684916998426566,30.04077031353457,32.01038332362973,34.69261649820191,31.934839257356806,35.81726926391393,33.43647162849385,36.765060442659724,30.857869461565635,28.967683036276775,25.75387958234076,23.676677290137174,21.448186904638398,23.553250200122896,19.836820022942206,22.151274938010257,25.80953278693286,26.31072012495557,29.637322442478236,32.186659459402534,30.037568267562204,33.10514327877029,34.55075488246499,35.50053340263592,38.597061994035975,40.88206322648919,45.518064191834874,47.57553847906038,47.08295741255867,45.56815812628869,41.902655945860914,41.63895255880254,39.724715412599295,37.97075166800027,33.37472958472936,34.8777922032535,29.349260642547545,33.36077121617943,29.948080103971275,24.87186186038483,26.98794172298004,24.328457378222517,23.7737683075168,22.167703186830988,25.42996309047915,25.92126935281252,30.78029408250282,34.29470644054108,37.183164913098466,40.620245607324314,40.43261844197177,45.0696064481593,41.507488895339804,42.66159935439953,37.63955157793957,37.760846090875084,38.22815040020521,37.8640803793451,34.7368075842026,36.25351909353013,35.891615936906135,36.77766865295801,31.45872992485189,33.36901632077872,32.47392537125981,33.00704284951188,32.02566550448508,31.66748270017065,33.283913031141154,33.96092306950875,30.988220441572615,34.47281979610707,34.090247730577865,36.26822086832299,39.57542859786849,41.41325389323564,37.85809268299676,37.438920547769285,41.958985650027905,41.13768720752708,36.36682925424435,40.38284786468669,45.32082394251939,41.427686897534116,41.09985281834505,45.055593468558705,45.31489667229706,41.99537463918912,44.04123143062115,41.141346813256,46.60472067950009,40.85600630723669,42.052188549837915,46.249534665347966,47.845615710057466,52.308557583043736,51.748452502640106,52.643569184713506,50.32429744553101,51.95733065950656,49.802404715471816,50.76377960512492,49.40184981654295,44.51736474209129,45.423718367115725,45.66924404008562,42.15947784746167,40.21174339449156,41.03884986046659,39.282260508544624,36.44227566972328,34.47995167641355,36.343983868772234,39.62748415905906,42.924928532356375,45.55652493743116,48.09019307095148,52.49940587049794,50.08718368300967,45.93234582310623,50.122095681233525,52.00909506275091,47.49312466544457,47.03474719850977,51.36783193429471,51.05238414173554,47.73262106265053,51.47501381860337,53.7677821076318,51.45714884980167,50.32708053025162,53.30827021457428,50.370627222831665,51.590823301658716,49.30112943130387,50.653066141157396,50.432501935530695,45.305566446474586,45.72618811620764,46.425423854965004,44.15710508465744,40.569644097642694,43.9851132635053,42.92402765946943,38.37656870917538,37.65467209248617,40.86873076854983,39.47256890549871,36.23136233422821,34.30530171394797,35.10832591615707,32.95661478485417,37.45966514192054,34.41987989632829,36.00911410747734,35.967473648118094,32.44404723021729,31.064229821851207,29.727251747566516,28.91643127301792,32.872759647892096,31.02453838884515,32.794785317815794,30.90472297372124,36.37263076990836,39.22673954250246,42.37737152422006,44.203061641395756,41.49310258578585,43.63871051732973,47.254873621360666,46.266064067803036,45.37536271574458,48.8537106392493,51.69712021899682,52.90769399798238,52.697415169786474,51.77014657216128],[40.06078318762889,37.41542876571702,34.838928610938716,30.79289204973393,30.315418024538676,33.99832452596705,32.71554809818786,36.687102890811985,35.973162913027366,33.30155230604334,35.96776578145406,39.812659126987676,35.397899972532166,33.0144942851114,36.99505032412431,37.5049814121639,32.85201679096991,34.1737734803382,31.666612084514853,33.55479072134784,33.45078686432836,35.35808905676951,34.01655571491775,30.652228269777222,30.31180634548016,28.648268502105708,29.386022103652753,29.4902531646615,33.704471303573506,36.874216948222156,40.340524390526916,42.07666802114305,46.101276720806325,47.017046026690096,43.72916216062214,39.62403368114156,40.48958787380041,36.20514498645688,33.639374874050304,37.465786921951384,31.532351077144014,33.43754514233705,36.69145757871187,33.62056402403215,31.643047197131708,28.504977769219256,31.096620931515677,34.32132256416936,31.18499359771044,32.774285677779766,37.40904192891385,37.41813917915974,41.87764457237312,38.84722624943769,45.142707642885405,45.07300858119436,41.007275826097036,43.468405463802085,47.21744795115302,44.33284145891309,41.35712421725918,44.78326383013582,45.183410064197545,44.01102056696645,40.63749089171704,39.541362997869854,36.71797020358168,37.476692200345155,34.39669510374013,36.033269477336745,33.80395291441578,35.669839734315026,38.65097986020331,39.01447081332527,40.74107569939639,45.64945445251057,43.56669954858406,48.032541233566754,46.011022153312176,44.982790014231746,45.430948582505685,43.20364027041147,44.251649317802745,42.69849490033336,38.248502746049496,39.28598858668601,39.47329277420395,43.65839531629853,41.25983846100602,46.952109517539085,44.543440805454416,47.46141505453404,46.13192784348617,46.45402961810762,42.852195301189106,44.655247190517365,41.322198761882674,44.222301015534285,43.35655138827048,47.35210261337515,44.873838184338624,45.449773294385274,43.29027839903111,42.88364622385267,42.07828642547144,39.63725237775742,42.21965308545412,39.41705100818691,37.7459967154803,39.23815850765075,36.32207708046355,33.63379989605774,32.8695352071227,29.148936129598678,29.25775660585628,25.53649747364801,26.702120289969006,22.777212913576943,26.110948013266505,29.3572126361442,27.104682118764796,27.795377477611567,23.516228254065624,25.146810248152097,27.630111478445492,26.258925767749624,31.298815668106695,30.39512524494321,32.47826410039473,34.77313974167844,32.48699830120045,36.26544476466297,33.54499608400956,36.59270208342046,30.74738110863236,28.810600160706564,26.25242661712647,23.66753811759336,21.139189177328547,22.65337178065764,18.266343499913916,19.954661318930157,23.71064667026004,24.686932969037994,27.859327937997072,30.652195652838014,28.803909382591964,32.19229847556557,33.993045338712534,35.218046539814765,38.61074367742874,40.91563233518534,45.5846676892379,47.86189615737516,46.963765675128684,45.26565575499931,41.43087297512758,41.3152666160917,38.993242738690746,37.53207576613311,32.66361326073518,33.62144450124706,28.055540708791664,31.8478952846273,28.58721413330896,23.617644561230644,26.16546077432232,23.488173659467943,23.580550137661298,21.8325098853526,25.12777004676783,25.320072051410857,29.879195344673363,33.335459591783284,36.094132332790764,39.68732379742414,39.32148386350376,43.93187795799033,40.19901088353979,41.58348505429872,36.528660712184504,37.1836700577073,37.578669075593346,37.110829237405476,33.85979187083572,34.7964070899314,34.09137100389455,34.89298511108331,29.39782081400333,31.767182677975534,31.17901865499223,31.904106046607517,31.430635026677756,31.45034281101982,33.38508705333372,34.497857093490225,31.765831260463766,35.446052782822434,35.432433976488525,37.34492079568094,40.99206827507453,42.628945176024,39.0577256608148,39.10104056077345,43.622666391858516,42.65936943438737,38.217289157179614,42.3772462023135,47.09560457931275,43.22806924855293,43.185992764062945,47.162613943287475,47.177388134409505,44.04338806266659,46.37448464978204,43.558583257604596,49.037737872079006,43.56583541322659,44.49091688007564,48.67990719760346,50.306820648743944,54.910325062020746,54.22702541680818,54.8118627241559,52.32301339060333,53.76210089697899,51.322896509216946,52.32203404138018,51.27577698436852,46.28384251924327,46.91139573283701,47.374839216362375,44.06721936927943,41.85030763966199,42.456547870123785,41.156453174707856,38.438195953207966,35.87610623241984,37.95877995620777,40.68437526013434,44.086239066951556,46.873728930623855,49.117722443440115,53.593535008977355,50.91227399614785,46.96849562391643,51.413648305329154,53.05027993384838,48.500266655775945,48.40140055731876,52.7272769007557,52.336257799749504,49.21898789212606,53.13826946529213,55.36136845885199,53.081410056411066,52.20858198416449,55.25193750712123,52.378930526193855,53.47712032293793,50.98522282240598,52.46236776081779,52.51707958364546,47.296710908583464,47.600154310179356,48.60655849083503,46.42549820521509,42.63764517381449,46.17627400779111,45.44012561609535,40.810363434043104,39.86627846789942,43.3143782545216,42.197197870494435,38.925998798063354,36.982069076141165,38.12729681317383,36.01339667978917,40.399917442241126,37.14415666708265,38.4077257450363,38.130982320690244,34.909545373053376,33.451833522893786,32.35442037212,31.25078551634908,34.96850317962069,32.645860531882995,34.063547785043866,31.916724469825816,37.65531080191776,40.140016002861074,43.430506773602026,44.92363715506501,42.39319381598035,44.904227028546835,48.321689641181074,47.01971248441045,46.626785688369836,50.181307498643086,52.81579003068012,53.99011980789582,53.70495010528554,52.72919233078875],[37.67460288094912,34.862064771208104,31.86300834166456,27.998468528809816,26.757140033473842,30.567448829408164,28.9825919485267,32.769095464883634,32.33737561407044,29.561977910610292,32.33242515690046,35.993233774861565,31.346305844833463,29.35287422202193,33.2463284770329,33.484673914864,28.788271886076075,30.22538203930732,27.959851243467174,29.514218425982182,29.71163959999937,31.516667045923402,30.521384617586804,27.277505442646714,26.46748836038886,24.807010928942564,25.14211390077647,25.216989733841395,29.444409650374464,32.53224868391364,36.38466226711719,37.80902918117603,41.93370779264864,42.88126595607199,39.43512252563465,35.37451572595762,35.9993112461183,31.7433583221486,29.083271769299103,32.87830681287941,27.044996764403873,29.208100866074307,32.51580726628578,29.490786688258908,27.846509264851026,24.66840280316922,27.54263594878148,30.426473425204616,26.924067744631515,28.775894943245763,33.31844002233311,33.12856133790001,37.65987877584249,34.41535963365626,40.72931860032246,40.9358043085271,36.89877721766264,39.189069669553255,43.07752613830655,40.44930149736873,37.451946964784504,40.94694930217716,41.2876480035288,40.48741467382884,36.98052747823999,35.61826783778851,33.160092124239135,33.72391716774187,31.005070529982316,32.608137701329646,30.654554763245,32.90778474270756,35.49964680024055,35.81020955885177,37.132074811484294,42.09326726467727,39.70312591550373,44.0791370180821,41.868346346855226,40.75702006348343,40.97119201264726,38.63238131681537,39.54386933677503,37.94488875322115,33.51231803246874,34.617639462906,35.00293118780084,39.1481995956978,37.026545817447925,42.76870018266855,40.578701021334375,43.74695448088625,42.40002887124022,42.60288004798711,38.99936036801477,41.02740621356201,37.72193699633988,40.22678998721724,39.301661871278824,43.22170162229494,40.507896733755665,40.9684406106561,38.67170507951986,38.2354096304076,37.29743696461325,34.97572112605341,37.61594328485029,34.87488542594098,33.37831338397693,34.79162099010246,32.053578329061956,29.16285778429046,28.631860220183334,24.769984180317664,25.06687823388664,21.30959589670615,22.53227361787002,18.662854554518198,22.447932404519683,25.556094450929223,23.518138838295922,24.110169522294363,19.814990978403873,21.286410564840722,23.807976570844765,22.047158060093672,27.281426317054702,26.051604613793607,28.09287469107414,30.160840594246423,28.120368669882666,31.858328754405758,29.042742840356357,31.912322698507825,26.101322611543825,24.134183930147245,21.900923734532178,19.116463437402395,16.624613803874166,17.958818438183606,13.704834616495289,15.514650684179585,19.319556416239095,20.093452959117553,23.243202513707526,26.104584054720647,24.24611240399354,27.688992012740165,29.454388632441255,30.933632082186683,34.30378674681457,36.85023704186153,41.37715662489494,43.91133749998353,42.9806607398576,41.04248420827331,37.18255295244562,36.890196172068684,34.51297980563119,32.89926932356762,27.925981875113298,28.91133301642187,23.285656414808635,27.082255750867553,23.81737479720616,18.847206590066293,21.527493074846422,19.124263925092478,19.249595933047082,17.22801082274556,20.47961641821659,20.534908188003044,25.05387079061645,28.50294388010027,31.280349812284477,34.89021244435801,34.63197754952956,39.16565466465519,35.40491305370157,36.7543565071168,31.708005975309344,32.38053760415809,32.819041843368154,32.43760004080187,29.133591779978037,30.121859779743723,29.439874837873454,30.44980551402619,25.115685824209287,27.41977038833704,26.97381733033672,27.409634647342084,27.051134317402195,27.04768401186183,29.068162769070295,30.40806655638105,27.68490929534335,31.428322426116907,31.630550382087637,33.28500644412754,37.18567180514579,38.64866179385677,35.10384902863315,35.53211864563692,40.025633554669994,39.00386359620138,34.94250663547753,39.169209221274045,43.657708868958274,39.976938301454624,40.22494541607679,44.17720584590026,44.050960633640834,41.24171930722422,43.79835637955189,41.02688782136833,46.418515586158975,41.2771760972932,41.78795984005883,45.931055975485734,47.56119003736522,52.34111953442519,51.505206303753006,51.699560007517576,49.05051938453463,50.31527844960159,47.60518791857115,48.72978230845741,47.981765756544455,42.8287996939425,43.25559729138061,44.05415350815095,40.88717553446711,38.38396180397872,38.93056195618477,38.14243442952895,35.424598175200764,32.311832038067486,34.40756337640967,36.658211583522124,40.14689588448041,42.97807706583722,44.99306331986544,49.48842699736667,46.628607101176364,42.83498107207908,47.45259544437726,48.910632844124464,44.37066733589211,44.53918406976493,48.87016021067987,48.475897658127096,45.54073889178855,49.55665033217134,51.7656107253468,49.62855003930906,48.92137442609273,51.96116132878687,49.13316321908621,50.056976093121314,47.36667103876694,48.95730876794763,49.299673030980294,44.01295914772479,44.18442765920159,45.5282668562912,43.45537671924117,39.46253256639497,43.18139754195877,42.83634211485443,38.10005933876994,36.944384643597836,40.73742962814085,39.96545400864763,36.626721170421824,34.65352065914974,36.359159594559536,34.35963799910914,38.51560847532485,35.04333555933045,35.78933690917848,35.39925944226914,32.62824855444371,30.926513378478344,30.071719065733568,28.535426571846603,31.893902377962505,29.133320450407144,30.18317969871773,27.924693639049625,33.90586041549306,36.08016529611982,39.41691995129454,40.74146525382417,38.47437301703105,41.18332392520768,44.414570765642054,43.06172241955176,43.07618134280661,46.55709279136447,49.08931903875218,50.30786276511737,49.97828937686365,49.01204333461161],[38.220923083198855,35.27087100478693,32.22005120549526,28.671723429113232,27.613398292571013,32.15843515356597,31.073745440211233,35.05058576184011,35.08318388955706,32.7675658216039,35.806466823319425,39.30974850471294,34.79232000143979,33.09686253059353,37.193276267725885,37.30797836128054,32.68515403412161,34.41805159218938,32.40764949123607,33.659496745514296,34.005176506050155,35.50917701201728,34.66693099826268,31.349450285857767,30.42105371214589,29.04934036193932,29.06591111654653,29.145504468108463,33.324948980821034,36.16761093808114,40.48500685384523,41.46282681360002,45.72569742607845,46.846771424770424,43.22919742001461,39.268799255133736,39.480397658033205,35.32633952243807,32.443891501140016,35.78167692745748,30.207878087128307,32.882248079858954,35.979891737067454,32.729117816590644,31.111467716366008,27.60442415729381,30.21317899515152,33.26352586364029,29.526717753174655,30.722641560898804,35.37682678915556,35.55633157767639,40.27135990405209,37.210513573265104,43.49830415249462,43.89859761884074,40.09415822309984,42.54915737184523,46.429804242066126,43.78058233411366,41.146985371927094,44.898148865464,45.37256085509474,44.72926612417953,41.06417863914562,39.68547605047682,37.606528823807025,38.110846385229245,35.61479854648483,37.12898466190545,35.30008060948852,37.668917429644786,40.16442542996495,40.49023972828593,41.60328431216316,46.57553489011162,43.946767420992515,48.24577754572872,45.814986629792514,44.480847108846255,44.430432666410326,41.73524890557863,42.444325312545395,40.49829453092787,36.141448048052176,37.68321289535941,38.4762356460527,42.605471213936575,40.92209275978629,46.72236987595845,44.768495189605154,48.12873968008187,46.72997476613093,46.76128773252994,43.05439465941318,45.152130183759496,41.72276668685235,43.958798241060734,42.75403168904337,46.303453293456016,43.725585503855086,43.61716655059174,41.508340787928994,40.46956417010519,39.11349628927979,36.58518875542497,38.6962115878667,35.57702124928782,34.027352851804544,35.99802016411192,33.332895359972746,30.989127549078695,30.88690646872122,27.279164801778553,28.318052093346008,24.72466049017546,26.411079595177934,22.747423844609006,26.951366676036024,29.865952327804244,27.84938180936227,28.116754974377837,23.625291079828358,24.568493779885152,26.554781667797144,24.24107168364243,28.825054139140306,27.48098710924584,29.064213675309343,31.23681346757313,28.372960414528745,31.938623964895775,29.23468769840449,32.730346281263984,26.884082134287816,25.49092938948708,22.31840951902425,20.61127573603873,18.88612776616747,20.695603538928516,17.283340181152667,19.12121814321015,23.118035381942637,23.526979581912766,26.568165499084362,29.539208827058605,27.51786858576461,30.763499934693083,32.0841110815222,33.586797783618934,36.516971142910656,39.33910203006563,43.66338209992271,46.17279395724383,45.74762309402992,43.79470876254879,40.1032529644509,39.40949958676465,37.425799207639486,35.171791539620735,30.2735977854186,31.84155203708036,26.063616057661637,29.767584572867204,25.82428539698286,20.731813867373084,22.439194767316803,19.464944434557797,19.108185240800573,17.94123890885976,21.27482887786033,22.195647437400048,26.875451292865844,30.539545743408304,33.659715049165285,37.240299632483435,37.49621105933738,41.78822273213829,37.93463844364064,38.91284577650127,33.62158084614001,34.04580839396907,33.96552480963484,33.3205922451209,30.307110759607966,31.839444398969935,31.82562725154129,32.297191349784576,26.98905562438748,28.590182802194175,27.489428887074144,28.21079448883311,27.15693933630379,26.985845959030865,28.721200668631436,29.55944371044802,26.985727649768037,30.67900947994574,30.811942045520887,33.11083938516507,36.557174523405884,38.56488136817214,35.22202047413549,35.011986616661815,39.5248326905719,39.02711906612153,34.684480666639615,38.569268943072714,43.42481193221627,40.05838033120058,39.93953396580079,43.829789856402435,44.21611105594983,41.32841788552397,43.40722463422625,40.38859025929905,45.62685990968027,39.849883339399426,40.60068110937458,44.728770298712384,45.94481455244721,50.613159241469816,49.64937623063393,50.1824159874534,47.57241266516475,48.89201783486266,46.54359145424723,47.28136007423284,46.228125590894486,41.44361311169639,41.93888823681531,42.14859382458141,38.960276324501024,36.812964025085755,37.234583862659264,35.83577099325366,33.29948294881993,30.75211434670073,33.165798111048346,35.99571223077581,39.27433036420321,42.270895888819744,44.632062749832805,49.191572803619984,46.75295229759043,42.7318772180792,47.21330753815757,49.10530981278448,44.75167393554071,44.528825968793235,49.00935482183389,48.89180758429338,45.74559482931084,49.420851697959236,51.890008656375045,49.95526328693253,48.77048644760196,51.59103236513575,48.55300294049312,49.3833755559345,46.79645909017424,47.98335692958117,48.2185239836402,43.18170428685167,43.10767289522748,44.05867254463797,42.09029756916582,38.14317249021934,41.349267041516214,40.807809470135865,36.38167683238691,35.05684519521026,38.372611189585854,37.5149121174415,34.4307530029973,32.90063927911232,33.983329595531515,32.34928991143487,36.78032214884989,33.86978139087477,34.930094941664144,35.17582720450151,32.065456689121916,30.180912768777834,28.722160396851738,27.312057971933548,30.82114290464168,28.87496648423897,30.04751301318327,28.479973092225073,34.41679805271757,36.93366215231701,40.02207239463417,41.847598007894725,39.68340698389406,41.90254260751164,45.30159273107771,44.54046840981669,44.10735208893317,47.3301324399292,50.18514478965818,51.53449330026581,51.270374450635174,50.38313152987066],[41.30994640629906,38.4361746384833,35.5919276848707,32.01241593865607,31.309170763017693,35.85009024166165,34.89899874051977,38.94195949901739,38.8600407051717,36.53724639619733,39.50790945548311,43.10524073619136,38.61814256056161,36.74555102775322,40.81972320542438,41.02627970266769,36.367155421575276,37.91069622611913,35.6043635967445,36.9638085019991,37.00048233690971,38.41572436103677,37.30032572672827,33.82520640884584,33.2854689435022,32.08961791561557,32.42883059745057,32.711093995674474,36.95598223730787,39.93788076593257,44.05731116127557,45.24639711837946,49.4583034259648,50.45211048738403,46.88592201967468,42.84943727260409,43.232087642261504,38.90131932704659,35.997073587755835,39.17200725646534,33.51769187684374,36.073572957744815,39.01716288012667,35.62590541220112,33.67215912877368,30.121272434715088,32.40255885196488,35.80935479848489,32.41504249904454,33.22337342138876,37.97893689628315,38.434940169854364,43.10408715013877,40.34640105116276,46.60654949495266,46.729220877490135,42.963071945510436,45.687373155106435,49.39988336290129,46.45637303255865,43.98758932001659,47.80662393613173,48.44936635853472,47.48640138491337,43.84419007654644,42.75801471026052,40.56101993190927,41.324179380693984,38.68261306627893,40.36302287137563,38.37170500406307,40.516951726359125,43.210590823601855,43.41383510140429,44.82280229057918,49.67572973048512,47.144111947601886,51.5335041358277,49.15471970674937,47.75047874966107,47.91672440514473,45.19334108854542,46.129145730088574,44.103953860375874,39.7236209381207,41.34663440566064,41.96651273978155,46.238125936915864,44.3665360764732,50.22021979227481,48.186651779134486,51.422070076641326,50.12920946561628,50.30518567760084,46.66199992607373,48.6945300240798,45.30050619754014,47.71529388521613,46.59219031219816,50.22109375231919,47.644116026240376,47.61508858485839,45.45839482019964,44.46638213349471,43.02113655370921,40.54192506922493,42.567623933832934,39.36980670576426,37.848359012018065,39.92582173498334,37.261745909219144,34.990449001324215,34.86393304502481,31.269129200462082,32.19313729913744,28.559281220736324,30.088568258991764,26.298742066908208,30.129721405516253,33.288548964026276,31.24058873311376,31.67903264576788,27.227684725356106,28.33925173544563,30.38279990753885,28.208492312384855,32.72701034429231,31.4469618592623,32.96868901366425,35.118393138772,32.09428235690049,35.54263443992439,32.79379762418442,36.43733516812583,30.635062650854334,29.41494465480162,26.130849683976077,24.600051462971816,22.888792105867317,24.629926305645576,20.969622561105137,22.46160257500958,26.565204066262034,27.231709521245133,30.196915919087363,33.294018444165594,31.370355370108165,34.69221918714673,36.07700545579373,37.56069132925966,40.509278234524245,43.27450218650481,47.63704169649993,50.07478896849671,49.653007753797816,47.75910527000562,44.05539832024852,43.41232036369317,41.39185846296508,39.172595431056756,34.23205751638411,35.68862782618439,29.872039410784197,33.44173205358788,29.37819414364397,24.32594094040642,25.897980611869713,22.614171902462378,22.46030714139797,21.650692326973765,24.997130283653153,26.070351144730335,30.645166191099346,34.33941737310182,37.485830233153784,41.1240515171242,41.39130521469211,45.64082566862378,41.68617368015657,42.67907781070353,37.29141599469745,37.89558417594255,37.57977497087861,36.738300812865695,33.80886289208051,35.172837244509665,35.18613574458533,35.29783041539177,29.81204451492889,31.462330718592238,30.21948689781041,31.330963900645536,30.25465379199099,30.250420396069405,31.977803762859335,32.70433349972452,30.341863840872975,34.01766391149201,34.15847701241321,36.696101884396306,39.94578434101766,42.14997045077669,38.87451464201626,38.40663428226856,42.9088015104242,42.57124946423765,38.05669763590846,41.81227250140516,46.8230272537468,43.47172958168274,43.15692932352979,47.028377561041836,47.58200412171085,44.5443774011502,46.414004932959806,43.32983568515797,48.54903779740255,42.46332485156209,43.46682174721597,47.58852130050244,48.64806355065352,53.18457975423067,52.22531134764813,53.01608390950031,50.46780528560155,51.8270987798483,49.6825587731965,50.19546468178757,48.977174284967745,44.4363639510415,44.95617821589004,44.80538096217276,41.64182725899604,39.72578384575986,40.02426511612683,38.26638374871615,35.89710419793296,33.69751849055896,36.29168221459996,39.351840916175284,42.51593120839739,45.597393005444445,48.08449601774198,52.66221069174306,50.3799566232868,46.300050331737694,50.7145254874519,52.75655381605446,48.46549010781269,48.09623002522094,52.60361800135786,52.55355912562261,49.31716645238937,52.87036071811268,55.40299873305335,53.4675585006337,52.11941363793759,54.87757590783856,51.774321983441425,52.62739269865928,50.13295414312504,51.14189158433845,51.26755921075709,46.35869352033082,46.22889340240762,46.934096795640954,44.98641588820336,41.139759123011366,44.05171334596114,43.314842487881094,39.08989192434116,37.76206485403627,40.71654860955199,39.71650964343354,36.802854113243875,35.47268823048659,36.05119663197706,34.510355046123614,39.11698291926008,36.50230299621772,37.88565860694879,38.32381905138813,34.94333432541095,33.15346048265936,31.44040142076166,30.273562360532367,33.929366642367405,32.362840496124555,33.647314385462195,32.26395580098183,38.10498652331724,40.75424969271769,43.77997392161383,45.721352957917325,43.51189362339837,45.59618907741612,49.071062993647196,48.40246474267113,47.780671345868114,50.98760126989564,53.91961343367831,55.265641884026444,55.01692172062736,54.12862116449966],[38.86847154391975,35.981575276043856,33.24348697985004,29.82169725540983,29.450339227821697,34.23745440398112,33.69441362043561,37.89059145210264,38.02151326471531,36.1210517067883,39.27594590512981,42.77906125508218,38.56507652038846,36.81094670661097,41.151286585627766,41.386538133279636,36.87543644065066,38.85711488711601,37.02832854164196,38.355505972549146,38.78725911225453,40.323764343862806,39.48168432886626,36.143904441857295,35.237060222997286,33.829680787689234,33.76848555672939,33.67601562425439,37.76903431722998,40.42531626559464,44.8238909637995,45.64659021495395,49.94873722430441,51.27901825092958,47.663016153088414,43.7834299372428,43.83139222581329,39.88340322605454,36.9964348265898,40.27404577276016,34.8281670696847,37.62940599103157,40.71176613131956,37.4231311616192,35.80520247153944,32.213613792031005,34.68615931307499,37.826809962393014,34.03049950757541,34.94285611615045,39.6196695261842,39.95662030681488,44.73311239259726,41.7246846002904,47.986117498179155,48.48573399550816,44.762480632690284,47.2303307163012,51.1267655034325,48.48152627613474,45.931690946176985,49.708147416361435,50.16065444494119,49.54533520550251,45.88628053872959,44.477194941864134,42.35435758525081,42.763276472137406,40.16163624721474,41.49648523411528,39.61575499662682,41.903939334862564,44.54582866048067,45.06380100722129,46.1691759790147,51.23551479951502,48.67224688494484,52.94074987750324,50.51338522112971,49.19873613718399,49.01346403882773,46.24650189669869,46.74898007876788,44.72743883510316,40.43861010353584,42.07393953039477,43.070204290186474,47.08965564005293,45.56478104292017,51.307804491622846,49.34502192575527,52.701109685669266,51.174605561030226,51.074231369683346,47.226705492471474,49.2013155445369,45.616847223837105,47.92651755231039,46.520924837880365,49.827561876452634,47.60286391192817,47.17425972383861,45.396666796188946,43.96665252452059,42.60324600448827,39.77822414564776,41.54574693816061,38.23335958568327,36.43381971129516,38.71665876738032,35.923776751762674,34.112946745469564,34.02271483354586,30.741245891278908,32.08499599085582,28.659042525233584,30.67787473138443,27.153462490893332,31.52884082202914,34.26095364164588,32.05474852160325,32.07823331903239,27.44552820989804,28.11851918930537,29.7078626818333,27.410913948204495,31.388415809682808,30.31901764070199,31.709644135933754,34.198409588055,30.76678520264241,34.299226538291016,31.909775222116423,35.771959451409735,29.955081106286286,28.771152892671328,24.917033943947818,23.885352208004516,22.493418187383636,24.73965364433056,21.756512432811487,23.845623841990275,27.788069017562684,27.98780185456644,31.084510889111318,33.91148983215695,31.71594657112327,34.71365136177658,35.752219968799864,36.994084040364015,39.64103428249271,42.405237679398326,46.69460243144699,48.95359155392959,48.908635911856344,47.16172247658261,43.63107268171052,42.83183482384433,41.201024573987695,38.70749689290883,34.05708760831864,36.02337552261809,30.296804233606625,34.06659914160471,29.939269631770134,24.847406601968366,26.027193572875618,22.895073056752132,22.053896588487028,21.334176130822616,24.582454180157615,25.89628823574162,30.714950229157957,34.42220083276707,37.65980971896916,41.11965451836548,41.5510769072815,45.81197903007097,42.05444495339871,42.82489182424751,37.52205839197307,37.58271596479577,37.383312889039146,36.69092651007053,33.88562534582089,35.82603753749709,36.14309050924322,36.432519257610856,31.204260758593037,32.40906379053431,30.928265631870207,31.741350829980096,30.187267262486067,29.76973674872179,31.16263599312894,31.465640352398793,28.848951642545003,32.30934416005989,32.09879050161251,34.85430833814859,37.787471844745816,40.15675642745427,36.91592392542119,36.047668867514616,40.5284944314802,40.32817491524373,35.574461014536396,39.17694385765868,44.35266706668572,41.02828779169329,40.48403387729848,44.31616842720318,45.088713510242414,41.94581917058976,43.56538057072586,40.4105588055019,45.577143851758926,39.28123791277394,40.47253174582432,44.5864126193611,45.608996051443256,50.03766851256868,49.171941671589806,50.201176755375045,47.79663273137124,49.32302586990833,47.41902308086913,47.925509510909414,46.4375738282069,41.97525677158456,42.74952154449073,42.44419028586875,39.09122372496625,37.404004933649055,37.93147839973388,35.78728293253432,33.286634210803996,31.62751619785997,33.984101386627614,37.532013575454435,40.59739324215446,43.512324592265344,46.2472510465637,50.747347814173466,48.705515379058134,44.450654120304854,48.62491100566094,50.87785612063966,46.63121611571982,45.95188554270683,50.45472602758488,50.4773726635387,47.0828139788299,50.469133833911776,53.062055094044815,51.12784452659654,49.55922684525546,52.24837051804919,49.09431259595264,50.03461577057121,47.71105672402526,48.615518852602044,48.515936505146584,43.696863802447254,43.66004067515577,44.115003349551856,42.10256201887621,38.42486063501457,41.23943124425489,40.243977192168316,36.08950208839425,34.943723466948114,37.718312258282005,36.49903067193442,33.60789658697593,32.31159324118289,32.63644207767035,31.109411725818628,35.78839982637628,33.37614023059054,34.97653040368665,35.646956185644136,32.073211508681695,30.303370726258223,28.37600529950712,27.419256340891835,31.231398882732083,30.09274633554871,31.658082961066146,30.53245017661178,36.108871293757815,39.05469720063243,41.93572977272781,44.1670725006645,41.835302617419046,43.587244020169024,47.21122653439856,46.84040322427529,45.81027299166057,48.916730551768545,52.02496349844305,53.41106116370056,53.22787458850479,52.38984922968915],[39.45797733560473,36.80980669215268,34.586547960755894,30.95815514505367,31.396496307337625,35.82919142105191,35.560207117931796,39.91507240394931,39.71537630772653,37.95413235249434,41.016765435232756,44.687728892102754,40.77299455739279,38.637784198458505,43.13029421020827,43.65987425430031,39.22938199075438,41.263833499729806,39.4235423325377,41.122961521120054,41.49829870369025,43.321697633748684,42.307645284367474,38.97858476649359,38.25414216420507,36.58925596396337,36.73047350806909,36.43812327288224,40.473117874470375,43.11979002583679,47.18232011466023,48.234886060148085,52.457817851050926,53.89747042279669,50.44836255806123,46.57128563157721,46.79804247899881,42.9931728354717,40.274508510167934,43.870279020896014,38.30827200727923,40.843934899602324,44.078122619969434,40.89434621189462,39.19259992788734,35.725634683936875,38.22846867931986,41.42513262750575,37.760579263887266,38.83856273594625,43.52419253351582,43.77960437672271,48.503109300396936,45.417389019507695,51.7079992302187,52.12136046116693,48.27879968107215,50.66691334096832,54.580190970686765,51.90583054328514,49.15427994163446,52.750801428581404,53.07659760045477,52.3060047822923,48.80142100108941,47.409324860136074,44.874701800161866,45.245242122780425,42.2861097367011,43.47044411866239,41.38968668379082,43.41213059888244,46.36924108602046,47.12308548789877,48.45039943549806,53.61030399653282,51.37526426817005,55.685988270909995,53.474815196667116,52.37835772583532,52.28890564059614,49.73960482874823,50.18916920924509,48.36353759554606,44.05763952399788,45.447770904033746,46.326251989193224,50.24978657334153,48.506924179573474,54.13319973873693,51.92542038774144,55.074333044212594,53.43470218936354,53.333379991068774,49.39815328189728,51.12075034616643,47.44380266572688,50.13936047709915,48.730939077811804,52.07464019204391,50.20492352144256,49.89463162707254,48.372934667849,46.98776287354918,45.99114528554126,42.953653689886686,44.78849910751851,41.54826301981977,39.45732573425556,41.64213939551936,38.578303337117546,36.93779650274421,36.459343834486226,33.34956244095941,34.44410540345529,31.079611943562803,33.14475188401605,29.62232709412674,33.83561450289792,36.50409849042946,34.024543436128404,34.0092345131641,29.35649988492535,30.125203794773835,31.66050203982427,29.870581705406575,33.692957899952084,33.08485544258548,34.67331484273531,37.50272124438753,34.0600108072131,37.76581039620231,35.60777376656684,39.420379308557855,33.57008320907161,32.12534010403475,28.176122928076907,27.004098299037366,25.359693702205973,27.80609612528101,24.663556433336083,27.01147468718686,30.796185665033786,31.046460978535713,34.31405000912998,36.90487050591827,34.61911221340353,37.49256502455159,38.57084132948917,39.44822806011578,42.14773560268335,44.57141228887494,49.03854107490211,50.969898895545136,50.952407360094874,49.512534820179404,46.026991813792925,45.471785978595726,43.93425265686187,41.70418131578826,37.25664681767411,39.228360080528084,33.63115867368701,37.58723107367496,33.71962579531437,28.60913878610861,29.98808866036735,26.991014006083535,26.0292276393932,25.098346387987103,28.31241921026223,29.421989829426668,34.3650438893641,38.003477816596266,41.129287306829475,44.50056873827011,44.69500949182245,49.15831004592744,45.5716811384193,46.42237762496985,41.25818587178494,41.11114801348144,41.20623682108539,40.660272210961125,37.80824884301049,39.77264740854599,39.92283703061588,40.408955592508654,35.1424915539163,36.50499074710862,35.098867174371016,35.84063454985201,34.28371379671983,33.74581729172302,35.03434589896192,35.174644470841116,32.33216083956739,35.6203791630977,35.04286740836364,37.791947098549244,40.53406627614902,42.85937464733891,39.51876609829751,38.397516481232046,42.854543122041754,42.5143194482633,37.42839469340712,41.031296335763635,46.30693051131108,42.67179725416618,41.89850909821426,45.74019191752526,46.5193041694815,43.05155341061142,44.52817674881356,41.43332862513776,46.70243300393225,40.32454561386708,41.91281729307539,46.04595324571203,47.26088695756593,51.47359618615793,50.898957889322666,52.28053335958207,50.11841879846967,51.883039820453796,50.20449986197285,50.79610657162505,49.02565629583722,44.59366595923102,45.677328688293954,45.28404216906721,41.715450743171225,40.25967754698673,41.05234282987169,38.54716686554571,35.88465994141389,34.77412875361376,36.76930151523778,40.709819056828856,43.7363962965391,46.40370729424558,49.30958085030951,53.697069958123734,51.752676553207614,47.380655626714784,51.30431239690363,53.62265891675581,49.305689948595905,48.390513017897064,52.79381788578712,52.722267168277725,49.17489431013722,52.52974513241756,55.03157456654545,52.86406020970331,51.246657194008854,53.99889096785141,50.89212634923866,52.10329477752095,50.03456314682341,50.976800337670205,50.51143536035979,45.705518420658315,45.99040531441335,46.16958845503741,43.96507238746261,40.600182705194975,43.44068148309875,42.00803074497449,37.871175832298874,37.16262760676835,39.72231932341841,38.07055511921687,35.15260561799453,33.66680996261034,33.603221149633974,31.770986452338903,36.52554214070626,34.182298282903,36.25391563835379,36.83572162744495,32.90817215271476,31.51228815905692,29.570935145680636,29.12195281578548,33.247827422642736,32.34252345253432,34.33710486146767,33.09665195109971,38.2952919542331,41.518148330899216,44.39064647412587,46.693764911270755,43.998973426767975,45.606393968206184,49.4020617314809,48.968013449773736,47.53189822436242,50.76579543136258,53.91329967792772,55.21665385924027,55.086642395300586,54.23470450948811],[36.33495248876223,33.894289320857496,32.110326254641436,28.28956489909261,29.445897899313664,33.465244218534544,33.48587900132533,37.96403779892729,37.52337558021627,36.040002263768024,39.069268466838146,42.8003993904161,39.29771275588898,36.927171484947486,41.63065619760053,42.41664297435006,38.191116734301175,40.52379612102396,39.053557942123994,41.04706644805954,41.70328674200068,43.92211581342476,43.01885105327359,39.88984615594767,38.9725150089649,36.859165136199216,36.868389595339515,36.10552960852966,39.92972404532254,42.34378890053832,46.21987909216403,47.25979097234823,51.42377955285034,53.15870845801138,49.867247773048966,46.12567635790526,46.333357832547286,42.96042236665714,40.484680322006675,44.55227284008398,39.03303598976945,41.3943289146548,44.91966127439894,42.01846121568836,40.585778517689675,37.312158728590326,40.126975705418154,43.01658851207714,39.16874197502288,40.75327022121707,45.31790873570616,45.22433999258651,49.916430466093686,46.461885986487,52.76466265234976,53.390943542888415,49.4159023688824,51.4182265007149,55.50694086099532,53.131439449060316,50.0170037221439,53.32527743205018,53.323591332526,52.741914457259554,49.40367157554319,47.72110543140199,44.87504011846864,44.89833134717965,41.707600297616,42.48892626872256,40.37260507590642,42.313475360999774,45.40736333268584,46.59382870302357,47.827901564082744,53.20575144373015,51.255218724906406,55.478299379710755,53.465308519265456,52.69828372379633,52.45657112910526,50.18647627037822,50.292853960508765,48.773995109139086,44.52506119959607,45.55780019230097,46.51988303841194,50.128115512729345,48.390180853325525,53.772945976837704,51.39307509972592,54.426945131081666,52.52847245565168,52.2390521297087,48.13267351800239,49.60508204177778,45.77668698433815,48.70758281285959,47.17426721605434,50.40341675887768,49.020461436248915,48.700788480437716,47.59985170818357,46.1553120457403,45.68615751647416,42.32457800723117,44.257419682945134,41.18100287464619,38.69452199289189,40.6805222580978,37.29948015539193,35.89927142029704,34.99606438729955,32.18888399287443,33.16925370833764,30.01893695091432,32.35035918477856,29.06932657901601,33.456192670992294,35.707577389101516,32.942029257264714,32.63395135523617,27.9555519493087,28.56713293477537,29.850980778930975,28.547510716053836,32.067259981531166,32.00660314587148,33.83866981590173,37.11840029726518,33.77202198218095,37.76343932371394,35.990851417988736,39.613666148120615,33.752799409808745,31.88992859847339,27.87401035506752,26.526537203156845,24.697144990533847,27.493284387260584,24.62402091670295,27.59369062174308,30.995738571719954,30.98507237024663,34.47216094778697,36.59043111085359,34.09622946762148,36.64470805171248,37.6250527550073,38.0327465406763,40.69112762064194,42.747769272858854,47.34555770901661,48.91958265490735,48.99847129063025,47.89554245918805,44.53176970885211,44.18851170437169,42.881663721998386,40.89486003308839,36.831392353224444,38.9830504982538,33.67076471305232,37.926294474669454,34.49271688278203,29.41848058453625,31.012945052293304,28.484298228444104,27.118719584504095,25.720164491794954,28.791516570394883,29.577131585226482,34.70675176966393,38.191765601899704,41.14667688772498,44.296535581775565,44.23918455985391,48.93217962102285,45.6979370756901,46.57875290538121,41.7217630102385,41.08448973470773,41.74193827509922,41.563493335805866,38.6362620898089,40.850617696400455,40.84738357414976,41.87815396048281,36.812638601391036,38.2142616977506,36.97865891425458,37.26443245735149,35.658877916191884,34.78449513420795,35.89784360547756,35.89082480886141,32.584311759164876,35.63009532739765,34.57020590355346,37.0953570342503,39.74386371222784,41.83384873190454,38.330961319543924,37.11073769698976,41.532300944568455,40.881106377555575,35.55070542245703,39.2611817311879,44.50636827556845,40.49156509451984,39.616982609699456,43.48414578764041,44.120510138440686,40.406545447393604,41.90478270631294,38.94271460377777,44.356909864304555,38.194756247216574,40.00438114503595,44.16858769630459,45.78261543786957,49.87674664020477,49.648764622560094,51.1830562396416,49.25548051090304,51.27040428171353,49.669601147617,50.590955617691606,48.64236019357021,44.006151830540155,45.450134710532204,45.31217453144333,41.4549280531669,40.057800161202856,41.30387687591404,38.71763928363783,35.68787572639421,34.926956876301354,36.2840221737786,40.50140260150307,43.56874045113085,45.832304670489975,48.83177571812916,53.04486673873099,51.095274743226945,46.63924622874921,50.29113632232628,52.55351913500461,48.113419091009604,47.0287278971287,51.27428131668043,51.03226507435399,47.3840159286936,50.800021984336226,53.131236014204966,50.690577077574765,49.161231454575926,52.044861538793015,49.06066763963374,50.577426972894166,48.73579649583486,49.89496955607163,49.091326884859136,44.180271060944314,44.91559149807044,45.00293556325723,42.54314860792532,39.466205170915764,42.636800075687525,40.87594387886098,36.54742455370841,36.38382353174047,39.06177136989792,37.03952081477332,33.89665415444601,31.95884994723382,31.97345938965459,29.651135132748585,34.313433128599,31.7305732588935,34.05618897597316,34.35037433567484,30.245560163968367,29.216363167657832,27.506222518078957,27.45265023890538,31.82321150579416,30.885229736143497,33.32143567156736,31.823639204620058,36.57414116696594,40.03017614187523,42.91531061017837,45.22373031177248,42.13626558501275,43.64657108892831,47.57958837338011,47.025747097370214,45.23800933635115,48.61700585402755,51.748989821203494,52.96069295496557,52.8827358328324,52.0291769551592],[38.56835049925085,36.20891651157925,34.65799879643366,31.097566351513105,32.590218314735225,36.79193101376811,37.14417247779722,41.676436194253306,41.37603831780226,40.13899203666501,43.221186839972404,46.896801529389165,43.529169787113624,41.21040610403953,45.97871137554766,46.76989116380284,42.58750523393929,44.98441169526524,43.52829570246742,45.47200338637649,46.099874333270286,48.21845648449801,47.28381948187139,44.07801707660147,43.22717063473929,41.234581539879336,41.23100022518149,40.512415203310475,44.334080682919485,46.683860462339744,50.653768024452724,51.58571114693934,55.777463778641405,57.57484072949642,54.24858154729603,50.53139709346062,50.63292775503397,47.275931906155044,44.72382381314344,48.611100634556976,43.15485741192498,45.656211827986105,49.08836075467924,46.071786774425995,44.556744445887794,41.16178953696092,43.809960312427535,46.85128192277619,43.00863148650255,44.272517051939886,48.89474192148484,49.001900413121476,53.74979149800533,50.430650768918085,56.719580213310785,57.35430071602644,53.46331496006829,55.58786488518926,59.642571697041774,57.181032959391736,54.2220565093385,57.63264032910105,57.70937373466868,57.092384570783,53.7091761517376,52.08983243634209,49.310289441398666,49.37224750358839,46.19018249165742,46.96576202765686,44.83736644058686,46.73308719138226,49.87251867251052,51.062386772121805,52.31527606034302,57.6854256732311,55.70350207265892,59.927222420423654,57.86344217026173,57.017357410246355,56.72731911019888,54.33001463799333,54.39362428587786,52.73885479581517,48.51979682794393,49.71828439278081,50.790885298288416,54.41403735619365,52.783702960142655,58.190731605877694,55.85547936543357,58.911205677554385,56.998317701580625,56.668462748777884,52.525960245895554,53.969347684892,50.0937943638683,52.99819589713366,51.363626059965426,54.42579372639811,53.18029440753131,52.635927500517795,51.66315405671012,49.966821230950075,49.35385112298352,45.893639217478125,47.54336342694708,44.314720778803604,41.77894383345562,44.01612854303789,40.66707255009946,39.59374788885663,38.829794892378956,36.19302048950345,37.399421523446215,34.32773868506904,36.76124291487686,33.5133264541853,37.93019231800385,40.18387548921827,37.41019807203914,37.03585387544536,32.341490034797545,32.81403760563466,33.88365187924888,32.46833874254102,35.593543918912005,35.57246424101834,37.176963350003135,40.50769703988998,36.79375811833705,40.63399669423516,38.99222032799305,42.87687742568203,37.08859532816448,35.49934459337606,31.137243167871173,30.28169968756026,28.74380503608658,31.63630585076726,28.94041977231164,31.813808255397454,35.32096989212129,35.27071011300843,38.709457769770346,40.88560436237065,38.35817570188974,40.83150011191101,41.64513527803444,42.00524752763162,44.44669144367167,46.535395725810346,51.03210571966374,52.48953852896069,52.83134617038745,51.80655045047745,48.55251768424645,48.08026648968276,46.967782093996234,44.76058540350345,40.77871995348187,43.124864539948405,37.773070219996306,41.965451605669884,38.28739758026739,33.20701117638274,34.42900103449276,31.67877377706862,30.185464481456346,29.195685217402023,32.23227580779686,33.342759579824104,38.46784898884972,42.01290942803431,45.08502188699831,48.208376843799286,48.34118996280518,52.93475722788671,49.673357554902154,50.40419682381681,45.463431042444554,44.730030705584845,45.148269974638254,44.83739626359501,42.07575816684268,44.46975511131598,44.71909689353525,45.47709424451939,40.39281925748621,41.54784439006205,40.03593859191455,40.507417552690754,38.616630266937854,37.68908127482057,38.61884364843299,38.29252127257663,35.12756210561653,38.01510581023393,36.83636505338774,39.705038848971064,41.94136469680827,44.33203926407649,40.99743922946605,39.307777212029364,43.631715697558576,43.29574854214576,37.78283476137558,41.15979770803775,46.59234677626897,42.7506454051207,41.547781539869064,45.291644566144726,46.27818962028947,42.4491177010298,43.50728282311472,40.45709955008595,45.68479024762275,39.1221368883556,41.268732233798794,45.3406660905348,46.68907415817026,50.52076253311308,50.33304370615087,52.26831732709183,50.50212817646741,52.621406629671874,51.393428710529506,52.04710599211634,49.79437865179823,45.533264399154184,47.111268073469,46.503385698970106,42.62933121588474,41.62234000797297,42.837791091636326,39.71482957931324,36.850703445769945,36.73974294724148,38.15921817195283,42.79125820569041,45.645908229636774,47.903984390157056,51.14229362981136,55.3067285498321,53.68719263096112,49.112169610894234,52.5423670239489,55.08377281435015,50.79747705643125,49.399103711893204,53.648882672897265,53.558607683486905,49.768821929627364,52.89284454169434,55.33626668490474,52.974761443370156,51.11993075449168,53.831939455061146,50.76053395297193,52.297388771675365,50.65632363806728,51.52253192741955,50.50464801188857,45.869505726065874,46.54054202397562,46.2183282638313,43.80486706076089,40.96640413929728,43.682389561834015,41.60445042976129,37.64425148688709,37.54893498541847,39.670467197941335,37.41389852564787,34.567326750066506,32.967397746312386,32.24244991211614,30.15432639177754,34.934292496435994,32.93996404586196,35.65931497786761,36.369622574326655,31.999628345108874,31.050207153832606,28.946645461867664,29.23194949497941,33.666161402580876,33.40649799850861,35.979079079955916,34.898632410347744,39.39175764378462,43.06390050084633,45.74903799284936,48.34074605854425,45.251580028780296,46.396768252311745,50.431446984957034,50.216142108111015,48.05230856571243,51.266405027314065,54.57480671233445,55.82450985579078,55.802911478020796,54.99769304908382],[39.58350899932176,36.884082713494145,34.68821399298248,31.456800751534523,32.03396057392963,36.87749637734388,36.99639452240921,41.399986396942644,41.57178894173727,40.191810094171714,43.430618335424654,46.92453195211317,43.154809465312354,41.291873177702364,45.90886735366669,46.331821861633145,41.99868467051314,44.29439788521193,42.735244907485445,44.21494230111893,44.8012787531121,46.479094178418045,45.66193776993443,42.35067511845957,41.414570297205934,39.84992915167444,39.68605242845467,39.311928567106435,43.26541870850391,45.67568203640248,50.096704147473815,50.758731673225036,55.07695039209329,56.70120687470899,53.13190754998567,49.37134649178103,49.253123638279206,45.62558033834637,42.79951994311786,46.15010526327035,40.833874030967216,43.70607250351742,46.8584381348351,43.60647945842898,42.056136503904526,38.43779506878315,40.873762131487446,44.01561442885517,40.11565516713396,40.905139410963656,45.563010983215364,45.95520263384678,50.77902404845229,47.72094742151752,53.95882298403058,54.615579642784965,50.93294188064085,53.30981371049414,57.27260766205252,54.709308421662676,52.139462131577865,55.866402675408125,56.20829250090956,55.66780406596241,52.05693785644256,50.53937620527904,48.28408592697718,48.50993527240781,45.7414660821355,46.79541558987955,44.856627775739376,47.03518927280962,49.85754816845977,50.6809357513669,51.757047881277664,56.97645582046913,54.55661430217015,58.774084434838684,56.40401095041815,55.19854114733636,54.8378923453651,52.07688886911318,52.27667526706977,50.26671932826656,46.06691696973432,47.69371104011356,48.91090721865365,52.73527080319079,51.36796644939728,56.988948268077074,54.96944374044927,58.288943176730044,56.562378829801595,56.276773219771876,52.245386421725144,54.021489535591705,50.24746178505945,52.688537723896644,51.045784859284325,54.0514526188788,52.33841421679244,51.5733555233608,50.26233605105121,48.4163081837299,47.19822376574547,43.9939484915471,45.412105576140206,41.97238375417036,39.81787911367029,42.351575296289475,39.370472419588786,38.19869820268442,38.00939989198902,35.16666429574294,36.76292168884044,33.57524194878756,35.9559986564824,32.6266494125405,37.191790013908886,39.646315860999295,37.19548893204784,36.91587030472492,32.181379077175166,32.556627941902256,33.679325010372054,31.556075062289604,34.782784898147405,34.15511812193645,35.393403884987805,38.29621237843986,34.35863975613344,37.878779331702745,35.96211516076161,40.09613841238518,34.37403871347067,33.291657578897556,28.83251957260152,28.409031723313017,27.286421032023917,29.976316757813006,27.429194030993166,29.882435950727782,33.68647981309014,33.63851064659937,36.84126643405479,39.40721307567189,36.99965870900284,39.66386648254829,40.39440642035831,41.240554445943985,43.561795542915036,46.14500356184333,50.40015937597479,52.27563055596882,52.6713576093596,51.24538593016819,47.93609247636646,47.087617008551106,45.89189976956768,43.23389277166827,38.96289195875224,41.35339453696648,35.76909975821126,39.67145372526477,35.50683806333806,30.448990746274028,31.219599474085932,28.123547664661885,26.758863176016227,26.31243224763671,29.388077165148125,30.94796096290235,35.905631714927395,39.59020208072886,42.881110018607224,46.14756191066636,46.68451622077108,50.96534837251601,47.41116757558247,47.97891645036443,42.769717614382834,42.33246172074417,42.1724459762644,41.5414388657342,38.94178580129985,41.33552663587508,41.92287691964023,42.191578484770666,37.10644152698014,37.95419241786442,36.176515924036174,36.93818065425527,34.90574051145615,34.15437743268529,35.127202355013864,34.82139400011368,32.08134054480329,35.1432666860516,34.41637804370896,37.56097547726751,39.83758066957781,42.516723317552035,39.39521217017802,37.76447309922862,42.11943964054235,42.18307586608952,36.96830699751801,40.19506926583196,45.66490775416605,42.33577445388202,41.26380425104772,44.972151671949135,46.1624435576881,42.69279389873473,43.72964215317492,40.49335770652278,45.52757388367588,38.733846324094436,40.525278645147054,44.56355326636286,45.440042279280526,49.47126304446183,48.842296297805156,50.53046719940626,48.47681563703346,50.3112835792493,48.988778311470185,49.30744472215321,47.257607911747414,43.191657850583404,44.39335780706474,43.54821451440297,39.96675312896737,38.884187690129764,39.66246153501405,36.639264165433545,34.129174967753805,33.672948689216454,35.71922497637738,40.10166432048561,42.88923260122945,45.552585216217814,48.71332346438667,53.05001100648826,51.481795048361995,46.98055513551397,50.677964576995365,53.31242122289553,49.193755588092486,47.94896432026164,52.38649732790892,52.525529292261844,48.84781232739067,51.87243268265993,54.54023234472779,52.55036860156003,50.56222703079301,53.0994823065146,49.87224216895334,51.021479465132224,49.10550156777799,49.72151788964776,49.117590028452426,44.59849041719299,44.73520711342979,44.549280637823415,42.44004056340535,39.24083299484399,41.61717792968849,39.969044605522946,36.187305315488395,35.449421618528554,37.514869648828004,35.73738150995414,33.10313990376551,32.01484363942406,31.35331129479349,29.87562804864282,34.73799871218494,32.97110634115997,35.28000011683002,36.378384770141984,32.281867852380095,30.80055257070445,28.41612818743569,28.163070248757727,32.28551918437941,32.10643559499167,34.191882852693,33.50029030117479,38.45509764587626,41.894274166930145,44.51150040312361,47.17410083053677,44.57378619003786,45.75096721100932,49.630052423279245,49.67105924074432,47.879721485979665,50.85843236196658,54.22709809915193,55.619260750508104,55.547695975931674,54.77295681846758],[34.0792571223293,31.284449533052328,28.94292060597148,25.70010797426689,26.208482142024575,31.078938840160333,31.278813431236923,35.69793966028559,36.00595654523136,34.85204931243867,38.199075486257875,41.561429141513536,37.96816688021734,36.282675917635565,41.02011142613933,41.41583924227611,37.25595608422527,39.920207844076806,38.8923778424079,40.3168407299969,41.36599048018262,43.24257421196437,42.785306417789506,39.73750763660007,38.317605551176285,36.440011461282744,35.83713048708942,35.04266415702322,38.7787940424782,40.86913957414991,45.48393798362726,45.82141109877954,50.17359573986311,52.0784832905464,48.50832039344928,44.93118411678778,44.54739519609579,41.351630522758526,38.65317323716019,42.28419739427464,37.17493955916404,40.13261255669384,43.51020851917502,40.53075541801938,39.46135778672097,35.97373456692348,38.81130008252034,41.44852691681778,37.13444460885606,38.45335661485259,42.9190416411323,42.9078428446849,47.74804065750067,44.25761660339154,50.47667648037225,51.541634598942586,47.81837821615149,49.74767654247731,53.936831781220135,51.827572423932196,48.996290667595126,52.54293718092059,52.58683304117405,52.496069646460114,48.92507975113605,46.98467697151201,44.80461889440523,44.59928929063927,41.95659121697901,42.648879895859146,40.91356112429216,43.3218127489174,45.935205745188654,47.0529573042152,47.7232944043306,53.13029538760022,50.68976633838227,54.73616199504963,52.36815017015014,51.34990807285758,50.651650811649134,48.00883093439185,47.77729755809209,45.953890852574986,41.85517627806123,43.283614376657106,44.77971767453281,48.279518386168135,47.199935577210496,52.63365556482585,50.684047632818775,54.11166262465649,52.16874178874728,51.620577523920254,47.45351221503461,49.214378594835864,45.33815857065627,47.60214846168318,45.77261863270097,48.564092732178544,47.07602459331326,46.11854795870404,45.08266324710568,43.0596661589609,42.11853408035111,38.6809599382779,40.1428982916539,36.81090076136333,34.41609558346159,36.83764627831687,33.71773185741756,32.70237582788989,32.42992350228488,29.797458999650832,31.61826786112041,28.649258934421102,31.389938678077236,28.395819395715915,33.43521479242177,35.39094561135381,32.88416855533744,32.232522857231935,27.45384429591056,27.446088762225664,28.247986331233843,26.083120567146914,29.051683774257846,28.604955648397887,29.930802919596296,33.11114500352811,29.24308203504213,33.01106835425308,31.385770286063078,35.348678484305125,29.611671635084683,28.243768245477487,23.676329506036623,23.25258775294744,22.230079411572923,25.25105605444803,23.345373190821242,26.39959756231449,29.855300547899965,29.35244433007676,32.66726259861923,34.854407379022895,32.24214776324406,34.59565897219645,35.1106198037136,35.75877266434896,37.94069060126773,40.48129760479115,44.70167896736321,46.51376557829879,47.034339406066664,45.67251949989658,42.46956416160263,41.58030061373244,40.60884791825421,37.91600728119888,33.929498926406765,36.6181132620948,31.263750173563395,35.38357693946627,31.51146583459044,26.520490228669434,27.334518707708174,24.78742735370758,22.888377782067774,22.002271528171224,24.913246625691944,26.28992060062599,31.410747976308095,34.97474033040958,38.17924273057842,41.24249155067434,41.736626388891075,46.09817525623104,42.82744601686136,43.32795982787153,38.3763296696823,37.45661133412339,37.74823323541868,37.48006560636366,34.82729870907143,37.58974706394285,38.17167653788985,38.991933389684846,34.256350978719226,34.961004120476474,33.34382729062463,33.50074347690941,31.373651713768737,30.23463622213394,31.0547686326774,30.69934550985353,27.48459521213187,30.42466226509228,29.409896096083624,32.29930949458209,34.70077923798898,37.14078973577401,33.87721699045432,32.38200131536944,36.78554251144719,36.59922029628214,31.3835777712655,34.80881949766354,40.18688778517621,36.70114546758283,35.769961778421795,39.551042165498075,40.558749761651406,37.14490872402106,38.410006013613376,35.22490858076979,40.392477719124436,33.91226241826414,35.50180886172104,39.62132408661297,40.8276279655953,45.035336735244336,44.5092547539371,45.95789729606866,43.89953813122676,45.80599113834743,44.28674916878772,44.98985430302033,43.02803388116167,38.56427549983417,39.915770124359554,39.56589970952561,35.78254926551667,34.466669310206505,35.60654458892779,32.891706057944134,29.976775134394867,29.343722761042223,30.911480646674878,35.28518214939291,38.21313533793634,40.624163319854745,43.737834127870805,48.001237474201915,46.29281428067256,41.7757115167476,45.434469128916604,47.93241140215753,43.69529561100665,42.492015547658355,46.87901670288057,46.90540166161044,43.246404863235966,46.42332031210034,48.99704474434295,46.919251580974624,45.09345737549065,47.75445618830465,44.60403026411558,45.84074733673206,43.89486071347588,44.78187385092893,44.16681688103004,39.42148376569127,39.787149071830115,39.83345541079807,37.577301193618375,34.32713159935225,37.201670582411666,35.63446132326431,31.46615128691718,30.937097065409812,33.523225650064006,31.748920214026658,28.744262260190116,27.213463343193254,27.213093855947136,25.406531928937078,30.153419147165824,27.904513356146506,29.970145267154326,30.830093203611877,26.882146580830657,25.342314449744805,23.212923939480607,22.82514891520315,27.010076189340346,26.505662927257962,28.733888397717593,27.84389793303261,32.715102253855065,36.18893927573167,38.85227874443146,41.476446507633845,38.77249282817387,39.991095185803694,43.881507822375525,43.86097177441546,42.080076003216696,45.10863186990077,48.44129312221567,49.82919599406147,49.76276517617802,49.0023808720785],[34.226517599593144,31.76869264790706,30.166687569798523,26.896187768082736,28.49816232330095,32.95503987298118,33.654013655672706,38.20817734368959,38.26667594581749,37.4706656679206,40.74223517004826,44.18150500226652,41.054870541114084,39.06773010299429,43.98940078434324,44.67763103015624,40.701407309401354,43.52954008667563,42.64557215894212,44.38482835748476,45.48253086952733,47.630794567191785,47.09041710120384,44.08417375067233,42.74693938638789,40.61350210163567,40.0953952186633,39.03435436201208,42.632894426200004,44.58455234666319,48.93339585959394,49.3535280134308,53.62486756167014,55.74604260368544,52.34046390667079,48.8457265601994,48.51865431080224,45.60086346957067,43.076171960608136,46.98144444440853,41.85454926936912,44.63316438481529,48.158711119601385,45.29446304813913,44.22093283300274,40.82037519320855,43.702364134907654,46.34885355847308,42.069371241691734,43.51390445873627,47.97166514582135,47.881919579011665,52.69670046638219,49.09593694822106,55.31951165202849,56.40918881680685,52.605288281175994,54.39898884624579,58.641972415301844,56.586980842637715,53.57115758254658,56.94325487916216,56.82002974455752,56.690643708378126,53.25992559195147,51.25415945365479,48.73679145819561,48.39433006145286,45.453942880651915,45.88695165298003,44.016162845171685,46.19837325937361,49.07157614948109,50.507075841172224,51.28226804240607,56.81726922496546,54.681401444020814,58.7095653689673,56.534523173070134,55.74425726711088,55.02630111933719,52.57489734317452,52.161466518927995,50.52323281936531,46.46601931890545,47.67537905716773,49.171045197416305,52.48493224505261,51.32482473548338,56.58436088691373,54.4414089646405,57.696335473697836,55.57376401966145,54.92589876743546,50.6303472886438,52.10541037912139,48.099667680705515,50.6785207631674,48.74941645496102,51.407952391844304,50.43712667668825,49.43997138062286,48.81729352840201,46.68607266969797,46.13386391304955,42.40832740553117,43.797993735495204,40.540217758146134,37.79233325062922,40.16300375466269,36.7824343130618,36.16249665779508,35.52822116843412,33.254391437306026,34.947526671151635,32.17361941274765,35.05538288408998,32.18713215378734,37.15361830886,38.90856597313026,36.13296948347172,35.317663875012045,30.562958944719593,30.493674668972552,31.039454335113042,29.39973906163987,31.884337007548726,32.01013460000493,33.433555889409064,36.99766340668643,33.04291635580902,36.904818294127544,35.662666327721084,39.59640344050664,33.93921161414252,32.393111195595345,27.67820040713789,27.31749284464878,26.19911974507984,29.444460594387916,27.589412574914927,30.910591490266167,34.17817147775783,33.62143037891345,37.07374919528021,38.95692173489845,36.21969121906466,38.31486084581231,38.73367537326158,38.91980772803431,40.9838310705193,43.135188721322095,47.43996650390588,48.80261024728607,49.52843884270729,48.563647398516,45.52394174465134,44.82267572460248,44.115047022037565,41.60741709626271,37.98224199678958,40.803075508710776,35.65954965973324,39.94166317496555,36.30339387007521,31.347204505362413,32.209360960105876,29.806841609739134,27.722662337413144,26.74252100490679,29.52935744851948,30.77676466654959,35.97304976334901,39.432359951642596,42.52898290105849,45.41708683611788,45.74713053786414,50.25443102002431,47.23493619546896,47.72593862089206,42.96973499963618,41.700574781837226,42.27805398552495,42.176414495253965,39.560375374604966,42.47643582605068,43.00355942528363,44.005313094121284,39.30354442253892,40.02655707586068,38.40196736176193,38.45915016152174,36.21667690380594,34.8868453347579,35.49039855330821,34.83325569724292,31.421519522592178,34.01867665798993,32.51047231199547,35.43049234499667,37.40430487185009,39.840763468484006,36.57051344873343,34.61904480367924,38.87712674715739,38.629649190660665,33.031425066383996,36.27164991992152,41.75749800757338,38.01138585696332,36.6898796305603,40.385767816776855,41.52753204304872,37.73184494504936,38.63717903344819,35.52768585802554,40.69171885877702,34.068069151768135,36.23206940049555,40.29357720409648,41.6663465370126,45.492677473296794,45.36082551095589,47.33800315406911,45.65985262344566,47.887497411315984,46.77127913577925,47.53063933145748,45.14798171310724,40.85892510815706,42.64207291551669,42.09859658484246,38.070524830134296,37.16834922621652,38.654853289134394,35.41030428862331,32.35465373544902,32.61049330868708,33.66097151237297,38.5770773421564,41.34831925805087,43.385826488311,46.75453348822387,50.80474014751498,49.3487342371305,44.69212728989206,47.908140797037454,50.557667725287565,46.335790550351966,44.73500451388858,48.949764366321666,48.91943085883976,45.05922205629224,48.054566610672474,50.53459441897428,48.23104922278091,46.237960012668815,48.889106299319295,45.79876364417719,47.366707336511325,45.826931653149536,46.67072598661056,45.53230566267022,40.940833134592225,41.70024117681636,41.28361003352371,38.81900502651768,36.09566192691081,38.85649976787928,36.663500178304474,32.67252648098492,32.763026619340486,34.90644264547585,32.531046111724706,29.60324167388064,27.92802387811578,27.24055123920698,25.110473519337276,29.89436495465355,27.952121636224838,30.701517942044816,31.597924749332734,27.194703850777433,26.182668290775048,23.957030726363964,24.362776466587395,28.838695827326156,28.881443925775088,31.63674272855273,30.793608079623436,34.98169868404846,38.82356638943647,41.34657850370578,44.151038026032644,41.05325727777945,41.91215303247196,46.00482518589557,46.07920605710927,43.66582228069046,46.72932174405393,50.15780740063296,51.46240588852193,51.48622575912652,50.74745615115925],[36.63951301823143,34.00007008777113,32.079486018588774,29.30385474899292,30.41368197465873,35.44321965861878,36.1914706746102,40.65640324182742,41.162950595958904,40.4319077267267,43.84038071436361,47.098093095576615,43.7844683517892,42.165654527046755,47.01261853565158,47.43963850697825,43.396458275575476,46.19877780028221,45.26487022385553,46.64642027725392,47.711462741816995,49.49345978714609,49.02997686723242,45.91462499539258,44.5439491453606,42.77461490924784,42.12390381981091,41.32087962006446,44.99684143389112,46.93384762862489,51.66617119579723,51.80839484299252,56.18371295794788,58.23211934646586,54.632804496852145,51.13683030101485,50.569037473164535,47.49537072631801,44.73628385022388,48.13817415305804,43.183328049559044,46.31485447665206,49.58484181659559,46.4982311734424,45.37489935421886,41.755973191002674,44.3916433269077,47.170105427908375,42.84138305005137,43.755081028801904,48.2446731255742,48.47275828209811,53.36899998961572,50.03133674066717,56.19081198497956,57.32994192467458,53.739459436657775,55.76653285847389,59.92758031698936,57.77269921526319,55.128516836448355,58.78046024416536,58.88340472885906,58.80577067823775,55.18861853839393,53.2791266575321,51.17671724536748,50.96017752671299,48.31736610189708,48.933523140719906,47.18990070787274,49.54317062318769,52.223129006678434,53.412541855678924,54.06523873354399,59.49445814083628,57.027976044806465,61.042004463272455,58.61583210367453,57.5254867114961,56.70502314338745,53.91371990884084,53.540804726296926,51.5624958769702,47.56121353456751,49.182193126383545,50.87081166262354,54.3149579271486,53.4338646695107,58.84766913036641,56.965521363863,60.42482432379605,58.418131288676605,57.76594580985746,53.52577183288168,55.21741701224882,51.25555142947305,53.474483840110125,51.468159324718926,53.95401302401866,52.74972095270936,51.4238647112081,50.66117801528999,48.233911754532,47.145438654978086,43.537404561246554,44.531151718314,41.020227238260276,38.52208282316228,41.290784154194164,38.227111310763796,37.787079775958375,37.67809847867231,35.39106321209155,37.5111851781566,34.719644261448444,37.62312415728344,34.72864956972611,39.81338258737103,41.70095044886792,39.14605771295306,38.35724052468221,33.576357394402805,33.35813481781106,33.80485386812559,31.589440568842697,33.84865459775446,33.553906379180326,34.5248070991337,37.79769218110137,33.4221672216249,36.908044437383076,35.60262311633204,39.88976371310634,34.37869095067772,33.40734369263157,28.400818331122096,28.724526160844025,28.114955650557057,31.26320691681755,29.643369359179434,32.62041050245321,36.13563032015602,35.54384262668615,38.7903777567493,40.96563817798086,38.29400917600441,40.45660660279787,40.69057410737206,41.19091501961154,42.99748080934937,45.52687299756525,49.55858187129718,51.140226933869194,52.09877752933871,50.89810381885036,47.91041651257207,46.841368627788626,46.223422008364125,43.23670603389016,39.491428130436994,42.483592522334455,37.18028087969234,41.20332516465649,37.080398016186045,32.17567691403072,32.43885680214088,29.694555766946998,27.57540419420973,27.27547780152154,30.01909416379556,31.806269537711113,36.849991703640214,40.42607073014634,43.74696489238129,46.69539344476224,47.45397381947411,51.65157412590461,48.42695383457515,48.68153831064949,43.705477014157616,42.551762909989186,42.55141200058753,42.143011562640844,39.7862417407035,42.85424762888609,43.80809434882367,44.298035491838405,39.635691563146324,39.938799340516844,37.936105509395695,38.28629371685186,35.72022733517022,34.44560913711189,34.90591850461551,33.990119003717986,31.00216420819587,33.56045254978922,32.284823193941094,35.66333086933826,37.31766646058019,40.19604137004515,37.24221175533467,34.975887651652286,39.14833692499587,39.46054975315758,33.99857829981095,36.827015743383164,42.45235218139695,39.2703538452898,37.808707279849386,41.35067371010545,42.91793818707418,39.35022471904183,39.89144827115427,36.58934995577178,41.40791290613724,34.32548817884493,36.45554317111419,40.38964545086383,41.1669466462676,44.925990789233865,44.4810509803088,46.58409396649424,44.82207169001266,46.914927704810474,46.03389464988064,46.332451996473516,43.85577274133179,40.029651152443066,41.64198921565294,40.54678747612262,36.726831555692456,36.09788802990502,37.24667341528202,33.63553643469732,30.984085905866586,31.546049820370953,33.08635965174447,38.134840108274055,40.6681850954666,42.98244682609418,46.474084812111336,50.5943261903604,49.4454303651367,44.76729741958157,47.98838690477391,50.91832700463982,46.96135771061838,45.23587410627153,49.5766633814561,49.83986402261306,45.97437106500858,48.64931040445096,51.37931138811974,49.43643518874166,47.09673336508341,49.46399277718192,46.197291662824554,47.47297519442385,45.88857411938912,46.304748439096954,45.3161724866464,41.05732049667742,41.349445740082864,40.707525432978166,38.52903133227791,35.734492715535524,37.84783145764571,35.73560524934103,32.211665591780005,31.856517635432365,33.482108175402814,31.29321427150268,28.80021156099856,27.843503880120235,26.59046540410571,25.20560282563938,30.10039921098311,28.854583357812153,31.544401007327394,33.07333869541644,28.750746050188578,27.37921237585935,24.640202435962895,24.873939793386672,29.089975014572882,29.742842924676502,32.20552562781693,31.990988959163243,36.29076912221335,40.09186863720611,42.39161494444301,45.452508473688766,42.74131888529296,43.34090341795815,47.36826100208713,47.896056471005444,45.49865259980098,48.236262607751996,51.8296612078026,53.26863657387977,53.29738219471122,52.62385852866222],[34.86391009393697,32.00847000345728,29.66373654572721,27.054817256479392,27.60470427068276,32.94571638188334,33.57171448725439,37.94506227627232,38.72993198367949,37.99594467584396,41.49592230526618,44.601697164331426,41.16047286580832,39.84075728301614,44.62124985631027,44.85505287802846,40.82522347050063,43.69491255949774,42.917854740041484,44.05055032358187,45.26867608995191,46.91491820480377,46.650656620491745,43.611996606297325,42.018042098541294,40.33596506177932,39.443445733818734,38.64715415329643,42.27751717157799,44.11408610702571,49.108584086887156,49.005465317577155,53.4355809251372,55.49146819361479,51.79058158094833,48.356723541297065,47.59037880817712,44.565357434096164,41.74272067444619,44.986724675183716,40.20616693662146,43.524579472582666,46.737045618855475,43.66950966113229,42.73297791685472,39.09102717897619,41.78069490649765,44.37838827170319,39.877822485930565,40.791146413349644,45.19606132038553,45.38304583129973,50.30015758813598,46.91805305188585,53.02410947298291,54.3315179089813,50.83029375331915,52.78520196757753,56.97955756950475,54.9671858434374,52.40301742428959,56.11189502313553,56.21996516156744,56.35313005339004,52.6626511228307,50.64289553398686,48.82316035761098,48.51987708885887,46.13489263000817,46.74631331693294,45.178952510880784,47.73963482654646,50.17507961677312,51.29331371135751,51.70671485365095,57.11084248180077,54.44193584310742,58.373044777338386,55.81461408534382,54.634367250339025,53.656653231484356,50.75497756170177,50.284308289312825,48.22098545947301,44.281611107826585,46.01751732147183,47.871459641748736,51.27235790683478,50.62447052445061,56.04656984549951,54.34582934262883,57.95612343522541,55.967576864450336,55.246020861741655,51.03064864587055,52.87343852505991,48.9461456133406,50.86613889425488,48.80428164365672,51.19003027268385,49.8278764430406,48.343885308093476,47.50779970494532,44.96461809320857,43.6913972019484,40.13779416872706,41.04826013982796,37.48573040734617,35.097878350043814,37.9558550205459,35.03711350712822,34.58957622743382,34.74068575322852,32.43795542965431,34.81725968282762,32.076415386679756,35.0596682670057,32.28571564208491,37.56921192286599,39.34740022749418,36.949527872205984,36.078425034949134,31.31368145519949,30.909227984333963,31.263744178955555,28.691690515429595,30.89719123188973,30.35148838604214,31.165857866016005,34.31253718055489,29.871820345290335,33.29550948274182,31.962178951073415,36.28955596203398,30.818293609436175,29.993192353317326,24.919060786915725,25.48147374441287,25.146703620230017,28.285146632853355,27.02708564098555,29.99957098291216,33.47419169366084,32.70827973868992,35.85459643944235,38.05239608761467,35.381487924656206,37.50461732834375,37.61923007551057,38.29086840008636,39.989088471812565,42.742859108800175,46.63441332669641,48.41349503756929,49.41286358698983,48.03020088360473,45.0553882593762,43.795718839207815,43.20877003177214,40.00766927224399,36.24139365027246,39.349625656110724,34.059513153274544,38.000562007044934,33.78789595913069,28.963462787679703,29.010678077645135,26.35201187500234,24.06827654833716,23.87601366665619,26.538809148460135,28.470927746594487,33.46087486092432,37.03743322440427,40.41318818499427,43.342662202377475,44.27160308755203,48.33774917718909,45.09101484596931,45.2469785464007,40.26115354018246,39.06982066950941,38.97284595242785,38.561135131639965,36.262761412880536,39.46618318072736,40.56901938121337,41.05746771023364,36.56568643134391,36.664742014844855,34.616833615729014,34.84306702499478,32.18033399603128,30.830170636638517,31.251241502650615,30.337724184080596,27.35915419572648,29.972823849197813,28.828626041678024,32.2333371073396,34.00162031795392,36.91284359690515,33.999301842759934,31.86452595730109,36.09155464574516,36.484217549691266,31.207238534671795,34.07321160291184,39.66133336234991,36.671878152214624,35.38179651192698,38.94955107721462,40.502362945256884,37.169097565508814,37.85321899314665,34.487805061439325,39.281648014975204,32.262318864244996,34.061141590085484,38.02941701338896,38.72737451337459,42.71954156917509,42.06813667933744,43.87705888886805,41.92756735580777,43.88560067945853,42.81561167397975,43.13092853120199,40.83743787359995,36.884089339744,38.3410574243694,37.38327921130458,33.6236100898111,32.79943153576679,33.86984004538559,30.493828740707816,27.82594897596682,28.05244338976894,29.739997183337042,34.62467160491853,37.209745873903294,39.645240973499554,43.0544826531429,47.24991427121416,46.028324731304856,41.39101179387916,44.77136132809545,47.662812358744716,43.7261748829301,42.13650497099694,46.55932111684644,46.87842197587545,43.09839354065676,45.822479640062184,48.618543150464426,46.82505652982857,44.52703630028182,46.877668780609866,43.56969409176221,44.67125288621438,42.89535577784919,43.32945299051744,42.59067393214866,38.25427849896416,38.35671040328598,37.943512676871755,35.85985546812436,32.80008523284263,35.00471515199297,33.20929794188076,29.55333386956941,28.905830586801635,30.814023704007518,28.92988725673464,26.340464838710886,25.44171150865022,24.621611014631,23.41603105563928,28.292109011985414,26.88520383309547,29.18592953094461,30.780856948616865,26.71545904965447,25.011445411990916,22.259731245204993,22.079739208205357,26.140354178385586,26.6494332901227,28.886233387839063,28.78213178349373,33.30873555693405,36.97133938431472,39.27045274791722,42.32076541482931,39.83116424812682,40.503973081214596,44.43657080094263,45.03309427425578,42.885237487893725,45.53635737911512,49.119754317333346,50.623587786062835,50.6209204891448,49.962842800886605],[30.54949627103795,27.88691465274928,26.049986095373473,23.394020349570823,24.848054410650715,29.806305254707848,30.9085247426089,35.38608844254095,36.046119794441545,35.77784962032301,39.26944027385174,42.32718581540076,39.4234624092473,37.98715426385889,42.97186480270626,43.4317554852838,39.708928016750235,42.95669604063533,42.68394680750749,44.04799309281298,45.625040578890854,47.65285622879921,47.565759250063515,44.77276930689804,42.92609464878969,40.79866257590408,39.686968461243204,38.361598855853266,41.68832665408242,43.17071735353025,48.031875306996696,47.782634494257984,52.14303928195564,54.56957764222366,51.034201989044966,47.815592342395625,46.93404695249915,44.47667479256526,41.93339600962905,45.64337606767606,41.0024970720131,44.16235422464708,47.6615303186886,44.926689977801914,44.32867671170903,40.90664816559588,43.92241539324797,46.14732405658531,41.437247273263196,42.900909895564425,47.13101528912071,46.919077433118865,51.78230356466402,47.98932915016798,54.061605252425764,55.65559945614727,52.04584253944672,53.53754306780415,57.92479135549777,56.29308173199077,53.36140736481217,56.754050146767604,56.49486669434576,56.90775267566466,53.392250104618626,51.0249351202409,48.96174440638661,48.23627233468547,45.701184505828394,45.83533057673493,44.31465777227976,46.841296441174585,49.319572301892386,50.904059466734665,51.1148917716874,56.735667708895534,54.33241425547125,58.11208240146819,55.74503134686678,54.91842024577448,53.705592863498794,51.10190504891713,50.1784554598576,48.45973877274855,44.641712811543606,45.98748769771534,48.00055759689471,50.98759833707111,50.450451813610925,55.559215817416934,53.73799317284003,57.25685892757515,54.97189878043599,53.986274992448344,49.58700433345427,51.17212124218837,47.08561266001468,49.13605086043701,46.87309210032505,48.99951264405244,48.24118930143215,46.62521965585345,46.34298916524251,43.633033782333676,42.965515753842205,39.0073622527452,39.94901275947044,36.59468146409336,33.70230864940833,36.35435843929123,33.08440082205235,33.07062391796763,32.80323306589581,30.981764879808228,33.37127892600919,30.986458731871597,34.312656719901355,31.91895205556564,37.41420124413659,38.650677939499175,36.012621759197735,34.74538048849084,30.027666742570908,29.29140671302844,29.1840114628434,27.076583045792812,28.660753547538874,28.789792556447892,29.804970058981194,33.50557341776032,29.162861304228276,32.890685151488775,32.124343585797185,36.18122142222332,30.799398246465596,29.522483822288823,24.363907795958372,24.871695654720437,24.48405547508093,28.00859962963399,27.252526856503696,30.84523839490697,33.851647129987796,32.73446433635375,36.058929780153186,37.685211978630015,34.78426090859899,36.44182002556093,36.33534129749933,36.44487886661793,37.95462649201221,40.31270427422972,44.2570254752475,45.60471464359164,46.83727945391171,45.843973921652996,43.086764294046304,41.990022784241646,41.77712102458865,38.775139177410416,35.56089548083199,38.94498261901164,34.064930819000914,38.28910391596094,34.5996899048829,29.908591215927167,30.144749047019268,28.109649070459213,25.368636562241054,24.638997465225728,27.031078651092614,28.59106653322611,33.717121943524575,37.06285449271366,40.223046947145335,42.83337628030618,43.53285677378698,47.79439107166174,45.00286863759369,45.14029834102673,40.57121968229205,38.737805605524414,39.308451268960034,39.35767929345653,37.02111671344901,40.542603409520495,41.50658577927975,42.61291706253142,38.41937406054636,38.52681135610843,36.69590199896088,36.36087393486238,33.65267759110889,31.882181679008074,32.043074831584335,30.919895807509754,27.365412941869263,29.562497628097663,27.729897129402666,30.843621260317065,32.39594808575939,35.02412619129227,31.951129145256775,29.592561072112545,33.74292658649918,33.79673738999548,28.177466085286394,31.10901401971884,36.69815970029369,33.289877948478015,31.805445961554838,35.39277628832013,36.859391443557776,33.230142145779546,33.85050840287832,30.59409375055403,35.55980858549574,28.716476514852086,30.834726434045578,34.85521828777808,36.06343705899488,39.90945639751149,39.71562329484081,41.733985927505806,40.10760862554919,42.40619159524282,41.46444406580764,42.219856505661596,39.683285099273554,35.47616623929209,37.4382675071951,36.8375213300821,32.69268649600453,31.97532807725447,33.68956977609991,30.23616165590451,27.05316455618146,27.8301716341909,28.56073739099423,33.83350840618607,36.42862117702541,38.28923506083712,41.833020421606946,45.77194901842359,44.593260425105925,39.84969322537511,42.828444671445496,45.68251915397062,41.630179994538594,39.77092589956054,43.99078409277654,44.131635397025164,40.20449952075439,42.95101649838525,45.5622310233816,43.46781539708505,41.20865062232109,43.69507761603477,40.51903449732441,42.00599052404017,40.54323415857347,41.233506508176845,40.033808798317956,35.5812612358174,36.277054727172576,35.71135843471812,33.28165839141048,30.636760230387395,33.277344991628986,31.011331170788324,27.090098295685305,27.244101413520188,29.310269743407673,26.881625658484122,23.950574457529434,22.40280643948374,21.664825171660464,19.74622340695832,24.585622088972706,22.915283842968417,25.612210289566267,26.981181678971932,22.62778686851224,21.342951883926165,18.759026878251174,19.207614961959635,23.627230584128576,24.260519258543123,27.108203112708665,26.797138546901483,30.63635122872184,34.631613795723425,36.87478812478203,40.001329038279614,37.066427999498735,37.50584781337433,41.61726048641759,42.18765812217409,39.53819797819809,42.29303652289112,45.907567021640375,47.32774138723049,47.39995549766455,46.76557116131962],[35.02029809069054,32.57263218147496,31.11755742452345,28.744133956643005,30.52078415212763,35.452890388129575,36.76605216689961,41.241379414524665,41.90086786316721,41.71675119951343,45.17696856328659,48.26179019517785,45.41652390565659,43.89540278310228,48.89484772179785,49.40094307654779,45.63426641504769,48.78545043976415,48.29920245232083,49.69763938521446,51.07573001916178,52.996609532543125,52.73636732964728,49.77170592721472,48.157637192410604,46.19326932904361,45.26604666673627,44.1220445489834,47.55078111450193,49.126143348827966,53.951214326495695,53.773864040879786,58.13439989265017,60.515047880672725,56.96399586103465,53.68604237071023,52.84756620010426,50.23638755844156,47.59429244350824,51.098899883369285,46.39694366136191,49.611732550614335,52.98755928690971,50.062136897259926,49.21429458877612,45.64590819396113,48.41769242279634,50.951546202146446,46.387491284362014,47.43779819334106,51.791046046787294,51.875101982260986,56.782096760146025,53.237626132088835,59.31798887272488,60.77177866321589,57.224547060028875,58.96922466063581,63.26169531999324,61.39969716067275,58.652547802182156,62.18623745965597,62.081096188551875,62.295091793012865,58.72825739692071,56.55257636325108,54.45922421162755,53.91965006759354,51.29210112714191,51.551373643755625,49.91097989910611,52.30359616195081,54.94180405558248,56.44911567323011,56.8503799561837,62.42739295269257,60.02811298606624,63.886523017288475,61.49180714824003,60.552305592495145,59.43103858698923,56.69821621745166,55.89910099407317,54.018473073381834,50.18453102620761,51.71444665852758,53.69306791005936,56.81347908728508,56.22739442975274,61.42604147085412,59.58686608085063,63.07283980876245,60.83977442277702,59.91999424747914,55.53131655118322,57.07688336325662,52.98277495317112,55.12308415552346,52.860181067355434,54.93766326733346,54.23555109237951,52.534232629524446,52.268552601700314,49.44630576577031,48.58351116691404,44.65305221255059,45.3377226512782,41.85347389613471,39.040821078909346,41.90399926238187,38.743595210402255,38.918700355675554,38.75464023904176,36.972642106066644,39.36406058730961,36.920142710550735,40.15480943587172,37.60107760308512,42.93787563785891,44.396429118379714,41.72994535398468,40.5817106033207,35.84488335969541,35.2345940207166,35.16372949911997,33.07550386520985,34.51007166207855,34.616179550365864,35.42843041777546,39.01797395414849,34.41493221560383,37.86048934200092,37.106120544140026,41.40388170293621,36.13158348765688,35.17327147326451,29.8859905556789,30.675313729467042,30.36279873634348,33.79656143537159,32.776554908414376,36.107814188932494,39.354826535513126,38.41947208959621,41.70126514513811,43.517891332983524,40.670630349095255,42.41217283057464,42.293692854721535,42.42382304839105,43.829897218698385,46.17902853213644,50.04268198407328,51.27555384111537,52.67223650941966,51.751224748914645,49.055058562237676,47.904752530941046,47.75482834763065,44.64088872721921,41.392363439452986,44.77553791048547,39.772106127575356,43.88287394839695,39.914497398701286,35.17420961534309,35.1668758288706,32.74947360820997,30.161391247631208,29.88662099640449,32.33417602772453,34.168910945313236,39.21919859286044,42.64802773363885,45.914992257930095,48.57509260502413,49.415008496990616,53.57455788289871,50.67020843376115,50.72240758098261,46.00803210456088,44.29073327583199,44.50492147418923,44.312611919040044,42.13626175285819,45.642596606241305,46.78632416864354,47.490763880245304,43.13852549863207,43.128388460287404,41.028939422531906,41.06670003730025,38.18213099504854,36.53105397309935,36.59343897207494,35.21467257586625,32.03692424832151,34.08947736167166,32.289326115638836,35.75448205278546,36.81555161889595,39.77562507227074,36.97512349424135,34.15590643069701,38.082287772650986,38.53940554977448,32.865483855070124,35.29351813865836,40.989593640168806,37.869438655507906,36.0150076390789,39.35785478650141,41.22983705449646,37.515000669168,37.557118771881164,34.27213828036874,38.863270202509135,31.59920569433649,34.15764270266911,37.944767094236155,38.70797358213712,42.09889436968577,41.94108351189069,44.51084951964504,43.11251957506069,45.48820212128162,45.0591779561262,45.38275536653542,42.48595062091636,38.91897674306794,40.95944983835827,39.666279510259116,35.6341679806257,35.47136780023149,37.00363207376548,32.88270433245673,30.10929096209525,31.67348569367583,32.61880628202241,38.21640374321142,40.49393425828069,42.394853918081296,46.1578841302256,50.01277563548756,49.24005183348641,44.4426952667389,47.14932462444312,50.30247759270404,46.49552523927016,44.32269909757144,48.49308191646574,48.81983861712375,44.79331873372917,47.135918413904804,49.85397766035411,47.88691006039593,45.2604597221929,47.482144256060664,44.236871396278005,45.7079086998766,44.51489384618476,44.78007468204319,43.33956035026384,39.36274787597001,39.909872874105446,38.78972229870942,36.50676026654307,34.238381459898385,36.10917186226929,33.45388296578932,30.233171663442388,30.409506746408997,31.53926712613708,28.843375076952757,26.52343469912003,25.625533624321008,23.68038164739633,22.281561356459548,27.11432424372817,26.425364546238104,29.58526874441657,31.426776819974002,26.883958261861785,25.801575248032673,22.83804137003371,23.710588575199097,27.96952046709967,29.377537074219557,32.22064257457839,32.34174990667037,35.888129864600735,39.998378929054574,42.00367366973157,45.36111617503444,42.4800563153023,42.55312317910482,46.704445174386215,47.59739008437694,44.60301159447745,47.150623429548354,50.90157243831955,52.33404908697137,52.46050459220026,51.868451217289575],[35.88383262301829,33.12352905877883,31.05054773368547,29.175709423957557,30.066832076718107,35.614854520908345,36.80286313116775,41.102653691899825,42.28605174422599,42.09181978133247,45.695036893198996,48.53451713819231,45.4264620489751,44.39397068247286,49.25044322608792,49.41161461445901,45.60313665423824,48.738024876373636,48.29766058587405,49.24572985962458,50.683507785016154,52.21677197854899,52.14984524539217,49.17285078165603,47.39434864833627,45.782113323099665,44.60761664255316,43.68669819763451,47.13176258944259,48.63951712483156,53.91104131837741,53.37058064128899,57.832608067729616,60.126341619174084,56.36473842119588,53.132856858201336,51.99008419906204,49.28451635553397,46.43382791662551,49.40890077368444,44.99378475024285,48.576837862331516,51.690656049366424,48.62730987696662,47.87589013529245,44.16197303661277,46.75946207976354,49.242114877511185,44.56696577893283,45.19966740499017,49.47765086152087,49.77481136978299,54.72240535747214,51.379414347144404,57.33413622122695,58.930243705796116,55.63011952903872,57.500823969740914,61.72645996995917,59.89148136432327,57.503774295489,61.278777809931086,61.36048462689602,61.7519787775559,58.00363231194639,55.84461399998966,54.27534006588832,53.78949099769319,51.577927389660324,51.99617996679639,50.57343730249464,53.232370634868026,55.546338444045,56.78965163557544,56.94241967612355,62.391812220361345,59.598636122441874,63.38034589434919,60.704693794075865,59.46604824135764,58.17334966951957,55.110755293114124,54.29797097534584,52.09719994657201,48.375435814114,50.29802156980226,52.51522162289111,55.70347680855197,55.485445589453974,60.797941266549806,59.29452949899375,63.031825630760935,60.92583306357282,59.976786042768616,55.677017599742875,57.505454096212674,53.49693059142012,55.143783876018716,52.81456662381572,54.71487920872114,53.67298510907915,51.63956482072533,51.17346442225713,48.08106424233983,46.649444842027776,42.90520566480781,43.22067131748947,39.522510663160276,37.04100896024946,40.25964881606828,37.49891404571587,37.76676797625923,38.20166314511405,36.37957860239093,39.226699802346616,36.80110576150131,40.05258518706962,37.5621924186203,43.0637322619822,44.56219289619573,42.190484128759856,41.04250327441014,36.32716883937918,35.523063024350456,35.36510531559166,32.61788721157671,33.88817389624865,33.457697845620736,33.79712658855723,36.99936085879752,32.07940863129239,35.119663169921864,34.294109691042415,38.85323668417208,33.794683288831656,33.41037816443524,27.95463193574327,29.409922066290058,29.65382753874438,32.938174759700736,32.31941092191214,35.341120203506975,38.709044733101585,37.654579964453355,40.67636389525991,42.727120046991324,39.96688002825843,41.74203494571477,41.422852677824224,41.9442438311746,43.09334125354755,45.90060245103223,49.43959710697572,51.01940963079802,52.57718812013801,51.31416283149829,48.656781196282445,47.095913320325394,47.00197113216108,43.39534240232284,40.04101891088697,43.583595811111,38.50737981072041,42.313332957429964,37.95571871498577,33.38393577175955,32.76748396238779,30.198174772461254,27.521123611612378,27.859169324334076,30.159189864454483,32.4740984034008,37.28874576521066,40.769885360081624,44.21882504028503,46.90292261831686,48.18895205130638,51.984899287378724,48.90784864208516,48.71141761883707,43.849057353917466,42.23403440982182,41.90731600033466,41.463721267017746,39.560161953986466,43.23566579478123,44.80063202646582,45.09760523513524,40.94478120443342,40.46798352479873,38.067574556849344,38.245100260142095,35.07219119335677,33.43328837766752,33.34407514104063,31.76320080033293,29.001820523103,31.03021771470807,29.56497871193273,33.39476193578848,34.281337318991646,37.612727160704544,35.129505942019385,32.209143147028875,36.080407620176224,37.06198017930284,31.726204110869972,33.837946876089205,39.567953510533684,37.0954291849892,35.31781911246516,38.54250208752,40.71140684584095,37.420783037465895,37.33480696165619,33.86577609332101,38.12461754858296,30.598130872209094,32.782129947135395,36.468680589243725,36.631119252422096,40.17604839042614,39.53558484009795,41.92537031031242,40.27828448689653,42.39795234559533,41.99966016644037,41.92774078250541,39.12656449320035,35.874728529311454,37.60964371922185,35.945131784796175,32.175132996362294,32.09489054217978,33.24258802839895,29.000807391322198,26.61534432101377,28.18166385157182,29.675352711648056,35.18768297410498,37.286943092436836,39.52663314515348,43.29272573657093,47.26058302740705,46.673059628215476,41.92655053348175,44.777212995437914,48.103721625317,44.54739159217594,42.42380628762375,46.752933952441055,47.361768309840144,43.43769235152211,45.565753030402114,48.533892757288314,46.99989048220368,44.16198986303475,46.13236001772187,42.71798997032994,43.77056521414768,42.35932031220173,42.27737638321921,41.21353185959684,37.46528397743334,37.42689609939127,36.33132953744027,34.40494643001644,31.838021130485878,33.19526985409872,30.926867319105604,28.03394860140857,27.528214176287328,28.413387356584437,26.19754103620994,24.225196542436716,24.064001338511734,22.028670017628443,21.52895675957874,26.365237287077473,26.112675512713984,28.80337884541864,31.17318201799314,26.99669968629967,25.34101986405142,22.010784073705484,22.34071838184377,26.162010003162383,27.920486211003592,30.28046040914289,30.980971046632273,34.79005162459821,38.6940482687376,40.5205978240502,44.029438792647106,41.66576168000021,41.632386973923765,45.6161353000867,46.89035632368984,44.17988801422071,46.39894196234651,50.239425179317436,51.82352249378184,51.917094788954635,51.389513125758334],[30.763451589210618,27.85009546126455,25.53445670055701,23.751337231971007,24.479378920864747,30.10600337247589,31.367421372988666,35.61823807392372,36.96920549562014,36.98275377403037,40.64041524325448,43.31033925696704,40.367768177477984,39.548199157498175,44.41776973081641,44.52697136825442,40.91752760042108,44.30529437127365,44.304475651645966,45.1720445818946,46.96106649733618,48.62509730713802,48.847108923940745,46.11933484383897,43.98494065162229,42.15980509805655,40.64420775477306,39.405473591085695,42.61015538911384,43.82490660857987,49.21465429644965,48.39755792578928,52.84997809078818,55.34426081836797,51.60938574843744,48.56184010217904,47.20438605466667,44.88658706997898,42.17782208955608,45.346190938712496,41.16254018919982,44.7627923613028,48.01869353472622,45.22062522714565,44.866221656206044,41.31928300384004,44.20868382820958,46.25112538501906,41.30799443321017,42.39273524051882,46.46417062192821,46.405883093960256,51.31296788009049,47.63352438966587,53.52251007540302,55.42964192771035,52.11386357295034,53.5968700719741,57.97191490642048,56.51872515555399,53.928381468783876,57.518160396363015,57.35886300932727,58.10556808518524,54.42697582636439,51.953068059206615,50.47411146096365,49.65427006911666,47.594163389825596,47.73015591782796,46.506224042882764,49.3248812930652,51.42011021532799,52.8623978646748,52.680269557832375,58.215750956934244,55.42179233086685,59.03175306656754,56.37805432288164,55.302108921353074,53.750427002020984,50.8191340080063,49.658939413352385,47.64085805025786,44.03669866839362,45.76803973689311,48.192835254171555,51.0825300586674,51.10411288380752,56.21686161859737,54.79167718808719,58.58972822189214,56.337477634775766,55.18908422116439,50.82884639998321,52.64764407362997,48.607478226949496,50.057598838809426,47.59550902643039,49.30057911427478,48.425814077883516,46.23910198324999,45.995849517985135,42.7719943249221,41.58556765365348,37.65749419012131,38.01452199827844,34.424274848506165,31.722625805359822,34.842793345326136,31.980693498930336,32.41953713012581,32.82826376754087,31.245612536594752,34.29939719063932,32.13623584517448,35.62424751357931,33.49120104105068,39.24934862396987,40.316629234399876,37.9739031008547,36.54027029546746,31.917239630360918,30.765539161590247,30.28299431884894,27.476189260314822,28.387699913226527,28.09888272043112,28.460550784769396,31.89672581285529,27.04564145335431,30.313579297011376,29.778093286941264,34.143948437794805,29.122703319007137,28.513910430886916,22.992004158911094,24.57049187999422,25.021962182343454,28.491583328017086,28.515329380493505,31.89802372776353,34.891432209776205,33.473135117786676,36.503566626590526,38.20341571560094,35.323772796659846,36.78996482559152,36.26304393414175,36.625729892404664,37.61520875084616,40.3994624954481,43.87022753441097,45.423971173786214,47.07250432168793,45.84169749890425,43.2911041371062,41.683654809612676,41.78642128781485,38.156697980216286,35.09703710985715,38.86577337290265,34.07707313074938,37.99060806862048,33.95315877774179,29.55219021314564,28.954566113027038,26.94255846693175,23.83138918492169,23.81160233999155,25.85919607247328,27.99936323923508,32.85018145933188,36.171623595604,39.50526321093232,41.985419245488906,43.22988470537349,47.058301834012894,44.24748378863116,44.00088441689307,39.40959499574047,37.380774429946094,37.470982445153105,37.36870130315544,35.42491351626629,39.37356856534244,40.89997032761346,41.678053682014365,37.869044994105195,37.30593958563132,35.106521210778084,34.738783460526186,31.54276616901526,29.562714095044555,29.333066590891395,27.72724153262255,24.476936529584428,26.37519466427949,24.595314851328123,28.19772623281856,29.244054636536404,32.35060548420983,29.704382237717603,26.9088032827701,30.899336992093502,31.62966967689469,26.261648600298866,28.62510062417149,34.32305696686716,31.681696787475282,30.072073101427193,33.43068176851724,35.40350892098142,32.185266558025425,32.39146192359079,28.92053098688969,33.40492139712785,26.1374375159184,28.053215142769496,31.91925131612087,32.48213077140697,36.359755934054434,35.78873214538331,37.83311767619229,36.10435138983299,38.288445146603365,37.58438034641268,37.96281291459114,35.31128353684268,31.50199821526809,33.379304019415414,32.32520305910558,28.29240632203182,27.867862526259483,29.41971167577076,25.580323721397285,22.647696367581535,23.9510083532063,24.94002544029634,30.470938097526638,32.76351533839227,34.779710797603464,38.48904160688626,42.43298025211925,41.63935231899806,36.86502183441853,39.749643815595086,42.92044002135608,39.206704088013865,37.15907320544385,41.485515505088614,41.97451286529076,38.06584578061938,40.410458719666856,43.30276924509433,41.67665553480448,39.024710779852924,41.16610911845766,37.800936187240836,38.932151316189476,37.41723237387979,37.66597823965431,36.64439079543028,32.547311803590716,32.73700316978404,31.968127728660836,29.848497475628726,27.105220480351413,29.127004492488968,26.998215809420707,23.503336741289466,23.182016998626512,24.831486745792287,22.643205538373937,20.080750307526184,19.351618563817965,18.206081043533892,17.2809655080376,22.14347377508029,21.261887738519167,23.658238545173297,25.846728342317395,21.819279937353063,19.9767558661259,16.773940092615803,16.904272477663962,20.87451989377404,22.36884449923386,24.8764913506788,25.452299333690473,29.188473769245658,33.12034596363713,35.001805542465696,38.46935763600978,36.038629279687655,36.06870269605305,40.06016493737484,41.262595442330394,38.620760218553386,40.8980626836299,44.69809598590119,46.28789592050495,46.378918650807485,45.858252176728215],[29.43939646700911,26.926311435383923,25.500279321393354,23.66501331085018,25.629316812677466,30.629145440209857,32.393328135508476,36.75194685889232,37.79762939709986,38.189854561457054,41.75023154411247,44.4800113403066,42.05864407541359,40.93017490828052,45.97939190246646,46.39897877354629,43.00788104364419,46.591390514334215,46.79927140664207,48.00967898192512,49.90555544162852,51.91400690149976,52.089071095857435,49.44321879228277,47.32939666652033,45.162826401489326,43.703513036636,42.1292370341138,45.166019800884925,46.21454481990206,51.29849493214822,50.56285257190759,54.9115421845362,57.660488116891784,54.12443212617427,51.183987955374306,49.89918110442476,47.927106395068606,45.44861265773616,49.023757911271424,44.79169462440379,48.1520030863431,51.62970436661185,49.01309152198969,48.708523249227106,45.29165840450553,48.334329981783576,50.31507236483123,45.372095417462894,46.77173509939914,50.820534547681504,50.563999972252574,55.429098040806196,51.53523738070156,57.44268544947281,59.40128712074841,55.95191955432919,57.20501010001149,61.67670472123355,60.34909741336192,57.47215878661995,60.82328953142078,60.4240094562627,61.18981703280066,57.67629836526872,55.0662915130395,53.2121457721003,52.18593745697847,49.82756768977149,49.64668933138939,48.318092583971804,50.94723788003971,53.26033115844449,55.07234539643426,54.940076881146446,60.63469302990768,58.17676066704696,61.74565432213949,59.321369459363,58.544513425573214,56.956329748341965,54.301833692825696,52.91713934287045,51.187408041115106,47.62599776158439,49.020472909154016,51.42193303118969,54.06736124998218,53.989638379713185,58.878575958580186,57.23719344764216,60.85270275188811,58.38257536162497,57.10001920975692,52.59875555941451,54.10857281359244,49.935769313921256,51.70139632451307,49.1344678891258,50.693680305638516,50.40614346021015,48.22911017123701,48.457680913714064,45.19610017845781,44.572603439741236,40.34070691207262,40.74504743819963,37.36406823693088,34.243888723619676,37.13602650049866,33.94368931283142,34.73682072252618,34.64776690389248,33.446732450369616,36.286919944817235,34.33786041465308,37.97233518216513,35.98739381626052,41.71508724554674,42.51998500476465,39.89992493240786,38.26959156501324,33.6858214528269,32.46522716053394,31.728382696934336,29.55998528302991,30.026096538876097,30.435446559164706,31.03823194260495,34.9152605427491,30.22121078754999,33.676043107329605,33.55445225005803,37.686495626960195,32.74541128036948,31.749499486459914,26.294452541742704,27.619429020908225,27.800842961729657,31.4914123965396,31.502821346181232,35.24953454178192,38.01388390719562,36.52726164121761,39.74322857136273,41.065236347763744,38.046110914871214,39.22586118339351,38.63523040200962,38.458040751141766,39.360711928096485,41.65351455907055,45.228260263526664,46.26520656098905,48.098601766066714,47.32174257623028,44.954274321025224,43.60929545900293,43.97819622034178,40.6613201076605,38.02389195874474,41.870725703795884,37.347729727141314,41.49032056735932,37.84168863690071,33.45142349439789,33.14457264653342,31.39067763955319,28.19155788830681,27.78214936893251,29.746715369605994,31.5369223310239,36.48995790797842,39.65379348470953,42.79479679594066,45.06319077543427,46.0278032954492,50.06589881637798,47.58769239254929,47.395202777155816,43.09745853739987,40.686454253411,41.269921736404484,41.45279364557831,39.456746149052854,43.48517371792268,44.816378546993164,45.9555880658838,42.175205377942135,41.77650818189602,39.72538602887706,39.14806271637257,36.00589866323748,33.85643577512447,33.49821187456974,31.75826375370482,28.205266373465243,29.725194800285802,27.371981636235418,30.71442526044446,31.396243044776647,34.266006801974235,31.54935078013073,28.418204543586185,32.1908367077963,32.654188490517875,26.909347379341696,29.140899547784485,34.835925954959535,31.78317782501929,29.78639052926701,33.05296159150927,35.06026364045198,31.406274821529358,31.279442645909867,27.957139956545113,32.491171793836926,25.243243092007024,27.82944024689001,31.626856241588776,32.59461528189323,36.02211227312357,36.034794778353714,38.606717207021006,37.366328259020065,39.93787767465706,39.59668784097917,40.232336132228326,37.1954972511126,33.453521628907055,35.85363051372662,34.861893907065124,30.55437743140481,30.485583775485903,32.54055007090509,28.413984160627276,25.22937293771649,27.324271436581544,27.47502972132673,33.388438011780735,35.56283107437514,37.011191135924776,40.89152177774747,44.52226033363633,43.90166115133021,39.04719886670753,41.403192626622726,44.607611734905994,40.86603401866969,38.446528118215305,42.49540422196388,42.83270475093929,38.742323114693804,40.95705054319258,43.65182546779095,41.700269417192644,38.97186163150691,41.1656419852643,37.946838475069825,39.53252190863123,38.50460607469613,38.85960594780167,37.20352248686764,33.214320577121995,34.02764275114032,32.82921199428098,30.386896793459364,28.34792750041214,30.470352249153166,27.604427794477903,24.20259859696113,24.852774121670123,26.162325404101527,23.195603753159585,20.596336982378812,19.3886103017788,17.606832259143825,15.961885597449747,20.794505859205703,20.109212691118582,23.313762647598402,25.36514809748575,20.860746154445,19.755559004392566,16.665238830430322,17.864287709601694,22.125716223585773,23.97502160404839,27.09832529169386,27.483192896328344,30.375992404758314,34.65738732014883,36.42471748792367,39.9773408324839,37.053787035920436,36.75254125132503,40.940270649908044,42.13620641925961,38.836369392133,41.19582777073512,45.04126185834624,46.51149317239421,46.701445286506136,46.20230137523484],[34.16097991218924,31.703288886098726,30.285112813520787,28.784679984450047,30.52666678539864,35.73786780123471,37.50870108433711,41.80271550232044,43.012210451756374,43.36637329463743,46.95556956279386,49.65481485469157,47.097605019522156,46.056012370389794,51.05938645372791,51.37845507498148,47.87744187976461,51.33814457938644,51.324407000209696,52.40162028540118,54.12505925971038,55.89475128597616,55.97745135071553,53.16098931776631,51.193409051744695,49.3000423712961,47.930035439976656,46.62475744252109,49.80307778785106,50.9622619095239,56.18446178520335,55.41780685041526,59.816348366325556,62.45425955687229,58.811483950780634,55.80067792966267,54.47335029380155,52.26861156157001,49.60831107961043,52.81843773217116,48.59685567520115,52.13736391241874,55.416486409703346,52.56749936728732,52.06541018979191,48.46247231483731,51.24030844712603,53.48091455257982,48.62850199681143,49.53290339439017,53.672226660721236,53.74964374782983,58.67216983513487,55.072551685134414,60.958496741916534,62.82379073758097,59.50854485504159,61.051673215152206,65.41291145352001,63.87156266719415,61.28617398046158,64.86582113908024,64.68666838464245,65.32418289537311,61.68481298975368,59.260894121511896,57.570247102967805,56.753740734055,54.46120582491439,54.491664915127664,53.125310025571906,55.75152646172921,58.08889397731486,59.70255674369699,59.665859102852686,65.27353644282842,62.65612819968218,66.28966873265267,63.72702920122289,62.72432178478268,61.180689458463654,58.2833996199646,57.048076770310985,55.04803802585578,51.489661163205525,53.19539500872196,55.62434799197758,58.45369807374826,58.43396260721595,63.48023519002953,61.94130484374071,65.63004126958488,63.27429858769566,62.06845171971373,57.61971217583871,59.22861004499912,55.09075888930683,56.76232445141949,54.20512991931029,55.72203565678606,55.27580323812646,52.95683714531448,53.048454566519986,49.648541354184836,48.61235747878183,44.52515997072222,44.619025693379896,41.0493840660783,38.18129174061711,41.36331663312539,38.4371512966994,39.30623592353707,39.52905726400827,38.24235631489935,41.2070847389236,39.13806536506582,42.670996115881444,40.50690657430292,46.17061262227658,47.23928617674739,44.70340644612098,43.21965427928545,38.582168001934214,37.46339087279648,36.83000420921645,34.40865685829744,34.87794169568825,34.992665668454265,35.28984957812657,38.87420486153029,33.89089827927463,36.955168458209805,36.73363051749436,41.158104653052376,36.34864925486617,35.814018360025145,30.235239460654704,31.923127659608863,32.28839282512303,35.83592963045128,35.66706488212493,39.083805979917535,42.14065968103583,40.8003422167671,43.90461878074954,45.52535036528118,42.594442692076136,43.93223517866167,43.31930985664507,43.367596814812984,44.16290084329995,46.65107788272051,50.061784272678594,51.18851240372656,53.15234594525753,52.261612708443934,49.91044983080127,48.37914205295396,48.74486255686504,45.16948490149181,42.37739715880635,46.228846546523364,41.51362098417317,45.459549874479805,41.41175471540484,36.998457231852754,36.323841888243386,34.16263557423778,31.113344029551516,31.264397840451466,33.28287506185441,35.45910121399387,40.28672840107521,43.56718084296388,46.87623240768692,49.24072500717765,50.47697796236599,54.306192627169935,51.62176010725123,51.29294577609435,46.77986497502954,44.58159008876274,44.63745917264985,44.498542511453685,42.71131117551392,46.73773558615388,48.34767940128723,48.98641283418218,45.109931035341376,44.48167956598701,42.11213019381438,41.92384129816626,38.57049865206919,36.57242014366385,36.13117957655607,34.16894323982306,31.130506608542774,32.590334136258825,30.494697283654865,34.24091661203547,34.51521744266139,37.78980425562695,35.42818575505371,31.978097216147845,35.53009009399803,36.53453432186485,30.972867865204634,32.67203885638018,38.40304335122116,35.88945024105363,33.683972974908535,36.67260770502882,39.097344278616674,35.60048701753952,34.98398059306126,31.607189866687637,35.62281243090442,28.006898209662076,30.738612587322798,34.24053904756206,34.51867652332232,37.5878406555958,37.39219549924529,40.33753134665664,39.178388328820446,41.66654556482974,41.760796939710254,41.835150336712125,38.569036658283785,35.5501059007894,37.82886954911549,36.08358042703615,32.04526652546685,32.466729158484256,34.14379023474612,29.45013872146272,26.853510066365097,29.506648336683217,30.14433359024222,36.180505857687855,38.024189234727125,39.685569066101756,43.70467208286224,47.31779273535871,47.08923136958213,42.24747657811987,44.473691156374834,47.96730872086789,44.54187120713533,41.943345201852,46.01068425751848,46.616021422955285,42.527535889979745,44.32391936163074,47.200490464944174,45.55685393199211,42.47232888214261,44.32320889248147,40.99433452378341,42.35244248467003,41.43828377720143,41.27813448109875,39.62454513719946,36.17205239546464,36.56452845103955,34.93327740689789,32.82088076855574,30.962445179225718,32.15585371254457,29.18160302831152,26.608483406335054,26.90764222659021,27.258558604399262,24.339340746959603,22.53110789726555,22.29659813533226,19.44949409149831,18.8067672820153,23.471124177379732,23.834202414321144,27.099508066978533,29.68652775437533,25.290548649926475,24.102054726512613,20.67454039659741,21.84246833093529,25.689828429299375,28.163310437784894,30.99530115876215,31.88842986393067,34.77122326005017,38.99068774541754,40.524343117534954,44.267793437806695,41.63359965895855,41.066264888949554,45.17809366875241,46.739776896355764,43.3643580245727,45.43023167868462,49.3872079164178,50.916775230639956,51.121635020612665,50.66614910617055],[34.280869919253846,31.495183486234893,29.400093537428315,28.34943472136174,29.142092329167948,34.895860573427186,36.48702385309697,40.57941805702246,42.27043471897234,42.587852643757465,46.28863857979752,48.743668051660826,45.941019724100784,45.36988250268579,50.20733093275088,50.19850270440412,46.686866233007144,50.126496103773874,50.192705492271436,50.84857527031476,52.65487754323323,54.08494046915166,54.376396796829816,51.59717348194739,49.44975057664863,47.85420174537843,46.23377003095028,45.10479137518928,48.25536782092431,49.32678687084351,54.938639451025836,53.82903697128104,58.30159986181805,60.85580088368299,57.03576003345575,54.09314672406309,52.48128586995015,50.234360191816805,47.41805279549642,50.15789969502859,46.24856628926857,50.09356459446305,53.139057988174024,50.222087545359116,49.86573316534714,46.18488225896492,48.838916394562645,50.950410104625085,45.990300660385586,46.590390735588315,50.601569381724886,50.81621603832981,55.74045333141614,52.29250350904165,58.02695673918937,60.053512929113516,56.968738043542764,58.56449568970883,62.868457586329605,61.40994912427282,59.12466890673497,62.879352697574696,62.84110064425794,63.676207735062576,59.89854575800435,57.4625191490185,56.26045784856894,55.46247181214185,53.57451528223402,53.72832034655528,52.584380666348956,55.45725198401317,57.467706451808276,58.847818998761525,58.554356452755414,64.03210840351498,61.064210359391936,64.59902665434736,61.793057379100354,60.54150890156069,58.825432034430925,55.65955895431412,54.38611839219646,52.12882056438488,48.69809372408063,50.72664818475118,53.37633261543536,56.226185406111455,56.55869389284228,61.67030256526072,60.449341844606565,64.36071892411994,62.12165995477804,60.88486486889748,56.53619595358443,58.4072335699058,54.36988358494787,55.5642906004207,52.961210528626125,54.31980167746826,53.54065238558522,50.93507014759198,50.83422267214313,47.21086230174164,45.67264250944706,41.77197280789039,41.544650655707294,37.80617059708819,35.25867822093202,38.73700290015683,36.20249696568921,37.13155347722761,37.9101972486183,36.59512197213354,39.959162760760286,37.93819752581473,41.47063719002876,39.41385363568742,45.20422772010671,46.26279628571113,44.01623173690464,42.526459872220386,37.95308028079255,36.652181443646484,35.942475376263076,32.930517187369496,33.25181024661082,32.85615080150291,32.717186311606056,35.91997252540865,30.697978892707358,33.38216426007311,33.12646208663563,37.732465520315245,33.166237431819255,33.139378921481004,27.475267056825356,29.76147902394229,30.643994075071248,34.02397252216182,34.28441632625801,37.43478946348197,40.519629808393184,39.04486160349271,41.88940246855583,43.6714948151718,40.832907515001835,42.1699352082436,41.370555403829925,41.782384614974234,42.34619710233078,45.25937553709434,48.357772942376506,49.841076966514365,51.90818318292806,50.680088517456106,48.3638216380639,46.46087970263343,46.867693926947986,42.862987390077876,40.007427269896226,43.9902000816033,39.27679424770692,42.92579936499221,38.604845203280874,34.41588607920042,33.206569519095716,31.029678200540385,27.87345258617104,28.526315585386186,30.33830677360828,32.8969810522585,37.46033950550663,40.74159121675355,44.17904907513717,46.53525969326957,48.16379791144145,51.64667743994093,48.84090106300844,48.2886064995476,43.69589226081454,41.56511612214201,41.17473628280213,40.85224495620829,39.31947471043257,43.50401704354393,45.47300913359402,45.813686013505745,42.19873425135276,41.14684680214956,38.564068585833795,38.40855327569663,34.821592902905024,32.79748890005121,32.19264141721858,30.048213047003365,27.36439461207169,28.770062990932427,26.98786996108239,31.033877807650494,31.197702920516317,34.78661861573765,32.71023823277274,29.246989867535667,32.77092831470555,34.235895321103264,29.062026370805082,30.522529139495642,36.24888323512994,34.34847068643356,32.316547480356974,35.225072537764724,37.84869476571237,34.818925558307384,34.21581255379409,30.67597674390108,34.41804620652025,26.65591597509121,28.869059326482194,32.30990908220862,32.047697234742245,35.39688009472069,34.6780075942084,37.310124021311026,35.828349517887816,38.039774882400536,38.05950128316585,37.820214066055335,34.71086766988063,31.878440750622868,33.83852979506905,31.84139866343444,28.026530631540844,28.441176193958285,29.77972137026719,25.04417239796013,22.75225292424352,25.342992241420518,26.47308360599044,32.38124144159011,34.091263911681715,36.0801597615018,40.06492027976975,43.808762167952885,43.68516698949075,38.90876474092037,41.33042703914503,44.93776033689106,41.71807639603254,39.23657209622501,43.46978612354387,44.32003322327645,40.36662202257201,42.029788348316224,45.133093456038544,43.902301475464235,40.69565634859299,42.34724560032568,38.86380836897763,39.789061001576144,38.58884191553469,38.160078907774064,36.95314609103134,33.635211990288475,33.442083805203666,31.95296077714548,30.187599064141857,27.92871134930643,28.73107535297803,26.248884773922043,23.880256212814725,23.42834472104248,23.700647876807448,21.355470566023172,19.80138159330517,20.27407434640983,17.61111717005072,17.897327531450756,22.514582438180035,23.113836630010674,25.74067766853079,28.75275745077958,24.82634800248617,23.0183751387456,19.324967081622034,19.814369143605216,23.173777089427556,25.880198625271127,28.20119716775306,29.610957614509484,32.77111395560051,36.7392141814842,38.13117851063134,41.96889550618251,39.84744903467162,39.25303673456766,43.17322199432173,45.03621904944579,42.032521453003746,43.81363394231757,47.812923927104364,49.4914600656495,49.655807971092955,49.254220338256346],[30.76520696685603,27.844423977286205,25.514562349021606,24.610019561607967,25.194672455683527,31.030839787331114,32.65570676393934,36.675196232579744,38.51809198392958,38.97180552190548,42.69970295873482,45.01213234318578,42.31124786597069,41.92227854313079,46.73202867453062,46.664503252340246,43.29898230888814,46.886575642931874,47.24359812968195,47.817231443970506,49.84930051360231,51.34053893745905,51.829999437341534,49.22649994800035,46.84687706964044,45.13733232578164,43.28748566130016,41.96752703646838,44.942146279805236,45.809513121467575,51.50580762537318,50.195595116380396,54.65562630336004,57.32684829396227,53.523189551046826,50.714171480040974,48.94806963460934,46.962625778227704,44.242121961554695,47.07514731736314,43.3503965069464,47.207047787122264,50.32309697586346,47.58804032606278,47.500988267050545,43.942565522334206,46.773113219522465,48.58141994791211,43.45885450554983,44.34695723621071,48.20560465378978,48.18300126338032,53.06763432444167,49.40891949142234,55.08164737823585,57.313531723221935,54.23310889468707,55.570432653196605,59.960684461905664,58.760887956930006,56.35895065737324,59.98985538375927,59.80072711060546,60.87463205043263,57.146189039090785,54.51145039841954,53.39974307298584,52.38914644222797,50.63340118746407,50.61287002687591,49.61828677136962,52.599479483155136,54.43786337481189,55.92506014337337,55.399642164613084,60.908949875355795,57.928150017628205,61.336487668908305,58.53897930506317,57.384923149173055,55.49437912581634,52.41054959631955,50.90774946454506,48.766148191141916,45.42858510844096,47.34030880599231,50.131731133673846,52.77756778303613,53.28620955026081,58.25731283661173,57.10918547724295,61.062747180755466,58.74303641127546,57.37928018788493,53.01116004694735,54.8898906057382,50.85265398106276,51.879608256921905,49.193981003025165,50.411364971223136,49.71761711076912,46.997060809020354,47.031597649602595,43.31216637681532,41.91102327094941,37.90103073153848,37.6791116011784,34.00551963911136,31.32499552936472,34.758007977339815,32.19103561318813,33.2542017265361,34.06329229046455,32.92445469055228,36.44373096951861,34.61926179109611,38.28280116866536,36.484989764221595,42.40905829701528,43.18118392424007,40.98871012213283,39.322402071170025,34.8518362519323,33.31504004685223,32.381165960655764,29.298421690215253,29.33180616708104,28.992732235641224,28.817167889279293,32.14591145979603,26.957568220950392,29.76606613762821,29.723042086438433,34.19662649286305,29.692027025876268,29.55783909647289,23.86908647744922,26.30557321023695,27.379722807851955,30.83497217700156,31.55680037115224,34.89048556128065,37.70792381755987,35.99485258003207,38.80724266938411,40.357272109390564,37.462168633018436,38.582906071234476,37.62904457210935,37.95945083079471,38.38972196946304,41.31538603911048,44.33803398985473,45.832543345091494,47.9595572135825,46.72747650081888,44.48959458121348,42.5318236049404,43.073411375978544,39.03270243821438,36.38616078660143,40.51671132649628,36.0221364736478,39.7035725869736,35.6034498233867,31.57264445678769,30.34304823660377,28.56047821184882,25.124038945155824,25.575377918380113,27.17239612479333,29.627976486210606,34.164305953621415,37.32096606642766,40.67628598408103,42.88667457445705,44.50790040467185,47.98351374878826,45.355889539239854,44.75957184747378,40.357662976486004,37.95139575209829,37.82315125392795,37.728999522996645,36.18555966994671,40.55167246530243,42.5050421895305,43.15503669108203,39.79422492978208,38.673782850860775,36.22989700917085,35.70594042084058,32.10395106963623,29.846045485019268,29.129713497650947,26.95390349597532,23.942655599242517,25.233159186053793,23.224897388622594,27.148893126938432,27.411249718835148,30.876159438310975,28.70176062305736,25.30335656806051,28.93101937952313,30.2584039155118,25.080305557359264,26.7005278077929,32.432615468162446,30.455262614950282,28.555903473216485,31.569852701493943,34.07057454542588,31.131336344370045,30.74672279804187,27.176212954620212,31.085843393509236,23.46519683827436,25.433950508206472,29.039824061671425,29.055874675378583,32.72885701930798,32.01484548955081,34.34728390592406,32.75771609981769,35.005825642806265,34.76610684648346,34.85670041926106,31.87621925609101,28.584771183377086,30.63929837423605,29.104305472057654,25.068126085745362,25.204000057477394,26.843249631201786,22.404471197023152,19.661722297487596,22.075806580429177,22.853583945885966,28.805438407532023,30.66108618430113,32.51792495244194,36.469431039017834,40.22122629505831,39.942118022238375,35.13645488559962,37.61524649150158,41.12016803569638,37.78615154903641,35.36739256164986,39.62844881036805,40.407741884223114,36.46743908175037,38.295221480985546,41.36792062280795,40.09361513033664,37.01479031775998,38.79163523705071,35.319551408439175,36.274395368867,34.958609076152406,34.76803221177823,33.63092535977843,30.024453652864295,29.957425107381333,28.735990426070252,26.830097462218127,24.37121444698492,25.686207191385606,23.343512775842438,20.464511417840324,20.085186039817817,20.9987079022046,18.70086175928825,16.63180864948701,16.73298319427563,14.766580763753735,14.826774157854505,19.51539442248791,19.66946177776972,22.021255340064794,24.9726892929578,21.20580901377497,19.18466548644713,15.506798907089479,15.795360132874501,19.212291577537858,21.817954652827503,24.20200345452618,25.60021558275385,28.708631432884992,32.67730241774322,34.09473737849816,37.91599379483679,35.788448329046304,35.236364726373274,39.15216737499788,40.984477154209095,38.06568592260615,39.86843841652654,43.84274981884329,45.53848945783108,45.691663905232964,45.29940784666466],[28.35400587975755,25.16089807183766,22.209734406662196,21.33730593882554,21.127020483909522,27.2480605844648,28.612308544272214,32.51985541961616,34.56491427044638,34.93138756135561,38.69744222485998,40.88162736184104,38.042077210394076,37.91267283303521,42.60400423721333,42.37373421222922,39.05110623871004,42.66932069656675,43.19574836086509,43.582006144915916,45.76508751215034,47.19945725887805,47.873544077631415,45.41790924540024,42.83505054347219,41.137310398606445,39.07664225029521,37.70862497589198,40.58129935392219,41.34855490974236,47.19336104465734,45.72018495147786,50.19761583870014,52.85215408089495,49.00406990693819,46.26222629371653,44.37153589920262,42.47585292323748,39.7742457109356,42.578016278227864,39.02007896032491,42.9322489358751,46.0395278911876,43.426432425518335,43.56693900892299,40.11025998460719,43.053413532175476,44.589897491737446,39.348290767479355,40.43747924527902,44.15279029892051,43.95592466815911,48.799319199310936,45.017815333844084,50.634248711574806,53.0028945098524,49.95425962321355,51.13300085627923,55.56064456990912,54.543036549664635,52.11479280745991,55.69465330500795,55.45139575100137,56.710956173706656,52.98818748951835,50.23504778270678,49.318708142304686,48.2007560240728,46.66631275068501,46.61434625938567,45.788697797954754,48.91890883176537,50.52135626764197,51.95900668663015,51.22725497140523,56.69198456337096,53.60013356015433,56.91651997106457,54.063977513217004,52.9050253072742,50.904558248762626,47.82366780692438,46.229361460302655,44.11526720128907,40.82442197113944,42.71858922853678,45.60646193153322,48.169462362971714,48.82592319881386,53.751298457117485,52.72543443572542,56.76188663114126,54.46364562823268,53.06088451629686,48.74332088037525,50.740841081037686,46.77059065407976,47.55875530210431,44.874210723634015,46.08526576090145,45.204934065445364,42.45598579896421,42.38526681231927,38.67103613436768,37.21369592384919,33.23835635376499,33.10791496109248,29.43254018175492,26.794162375683644,30.216336872775553,27.714929202882388,28.655852104891924,29.652786639322848,28.48149853144239,32.17519305579676,30.44276310778904,34.13546353852905,32.53048619092162,38.53747212440078,39.144827577410425,37.117673079670176,35.38804312511598,31.032384956977634,29.333090331161753,28.33143566290753,24.95804462379294,24.995573483854898,24.410458486824744,24.170174997770896,27.449512585176652,22.29626291722445,25.240408789847574,25.16664984508609,29.564465429738924,25.02207172155982,24.866347630705697,19.174574956356878,21.776500736453634,23.110341016066872,26.517041892310296,27.673903787947367,31.022412720109887,33.63462886593217,31.740784066130992,34.44895082729323,35.91548667518295,33.035118864602524,34.08421620751113,33.05738070748764,33.536848728299645,33.95142837304391,37.07017448278767,40.03942779128915,41.77717119337053,43.79230451460368,42.36628840886689,40.0849292287983,38.021536163284935,38.518076698895285,34.38152039153926,31.723511332222472,35.91344887769708,31.526348903756976,35.16016766350104,31.167938103614233,27.295293058032428,26.007134599430806,24.55595307881791,20.91434703778476,21.239898447790093,22.65552969009341,25.084607641458287,29.561240862269273,32.65842116768554,35.99292968934554,38.17359358458034,39.84172127726474,43.272588989283406,40.6694665856655,40.061158237376425,35.71948347391987,33.24183516513474,33.22529163545038,33.2587937714446,31.668014873560338,36.119395094964226,38.066600081374084,38.917447440755645,35.77568498339344,34.597390122843514,32.2968499082571,31.4789260216367,27.921185955532767,25.52597701310844,24.8193089579843,22.779103012181977,19.488797221543475,20.93367139898444,18.995784502868187,22.816641117253788,23.543598476442547,26.88045999274831,24.536682839136812,21.536618471047753,25.440590880390847,26.591609788601616,21.599767258313808,23.62172624324797,29.285259510312713,27.280621807410686,25.798047786218223,29.00883613875015,31.209743339749597,28.53233101722879,28.67337934846649,25.09212638762493,29.229758875187308,22.01895507035984,23.33899071525773,27.144879029216455,27.410054665001876,31.598896287406397,30.686361101554,32.36116729946363,30.415468006385947,32.48136842775968,31.687491056014924,32.0818048768352,29.527263135116876,25.620313195566773,27.463296165068044,26.53834069134194,22.457418562559315,21.958578765357274,23.65307885719784,19.915190599159054,16.795983566100595,18.27149371529133,19.089375674736175,24.76441201867259,26.92759715982941,28.929230275448813,32.68989339980252,36.620394420253405,35.983481687829354,31.206397869673797,34.07024114624362,37.36105652273665,33.84409935601503,31.75797789064513,36.16827661105162,36.87200324417849,33.05655949722484,35.22512476842621,38.2930275682735,37.04625921935602,34.25650803233135,36.212237316994255,32.74424460385087,33.55702262616554,31.858620684450212,31.981434287424012,31.252019690562523,27.208903204124038,27.04774943165002,26.454798884165232,24.530447335396143,21.477186150102867,23.47443571276083,21.76269006833584,18.191855379181852,17.41869085039812,19.412999050540474,17.69369096902212,15.037217861109555,14.701469303053997,14.266321633617821,14.112228819639919,18.63421537498454,17.916440505266998,19.499325786935877,22.190667905745315,18.860363740610133,16.348729598599203,12.912282454282598,12.291675610689087,15.658327962924563,17.660338533532062,19.815979132841157,21.132600859523286,24.686003435737902,28.465087802567492,30.05277880928192,33.7325477058037,31.766635752918045,31.534578022053058,35.35629501902528,37.02260614053901,34.55651317691509,36.43955233826255,40.31388491412302,42.05322941579148,42.14089726964552,41.72385533266697],[31.763403352878473,28.660940141138873,25.808857134165617,25.673743939730503,25.310073588230257,31.511521726978994,33.06453835405503,36.723740103316906,39.13432401832605,39.710039996078315,43.49378758740517,45.43118625202866,42.65220979988554,42.82979343146326,47.40870982745199,46.99989324664388,43.76473546026833,47.36529553550588,47.92425302022596,48.029875559349094,50.206942214334376,51.340417652174864,52.10612339243299,49.61648649970652,47.01146107247756,45.60633114134804,43.438668845244266,42.248915964144345,45.06660595575421,45.7104136572312,51.7905183033916,50.01277737642159,54.49540412065677,57.1445604299338,53.19752733768974,50.567742522328345,48.41453607841425,46.55220871564399,43.72945316526227,45.998534697974954,42.77620515462341,46.94544357953801,49.7816074072891,47.051291148264326,47.207091804766144,43.62953125579563,46.31098595025741,47.87955811456682,42.64198334531234,43.206857691103345,46.82042536951877,46.908296176379636,51.740078020447314,48.23664992754265,53.64588880763751,56.13563084966384,53.36734673644749,54.669735201938906,58.98765705212506,57.976903420033736,55.911216432813006,59.673234524737886,59.58434438305375,60.946476591127805,57.11514877546896,54.422502996284415,53.8676591253789,52.80403161105878,51.5146683522773,51.53337918871873,50.817695312194815,54.027743689592896,55.4876731606128,56.790256422725435,55.92620324012677,61.276491572736916,57.957716364786855,61.17821122460881,58.14273539919058,56.76195462102989,54.59970424320612,51.2535381408055,49.583186360851464,47.19443955449553,44.110987523895915,46.34882124305315,49.4544219276752,51.99068001853141,52.98901425641564,57.915123437666594,57.15086364983664,61.319005958211186,59.08473120330106,57.62302684258917,53.373907709985964,55.47587617863189,51.56298602394834,52.01971104400323,49.23833345694656,50.119823547347956,49.215360030509366,46.06328561917255,46.03961695193476,41.96535353810297,40.04356430598974,36.21744931433943,35.46235734511801,31.641084763130674,29.321934486182272,33.1069159638443,31.080524593385597,32.42982549533844,33.88347800474581,32.91954968346573,36.887827641916154,35.271891605916004,38.92910958160445,37.387026902462054,43.37630603345259,44.01422283215844,42.14826453362939,40.41922216041897,36.147860598531615,34.352887652498815,33.21204072277504,29.596978823390238,29.154581593381376,28.332458084640994,27.526293974557824,30.37367830407871,24.92416291518474,27.09905817777126,27.254806755813437,31.86916985417836,27.902644529575017,28.446851288363323,22.785748091446163,26.0566864241902,27.8054983906211,31.006489508217815,32.35689950334248,35.37646679901625,38.082479740999474,36.1669809398095,38.61983560737956,40.21695366884074,37.44329031392557,38.4042695153884,37.13409805425764,37.767451088172315,37.7664569925799,41.07775275905607,43.606466437398424,45.374571872968296,47.747942741015606,46.23479835308875,44.17658220152203,41.78197996921836,42.5247964780651,37.998855856177855,35.508832971548976,39.837797250216916,35.54450928145953,38.81387544623167,34.52912631431298,30.938203728015278,28.993842033662485,27.374378071869707,23.77905853449445,24.8635876497025,26.012376298346727,28.87631861847459,32.94087194693059,35.96904093535799,39.397131373520864,41.45779738583572,43.55776159052788,46.551556588665385,43.92254563726397,42.99226154484732,38.652980629660206,36.168861919623275,35.553722815891696,35.311033441925204,34.19099246413498,38.83115296604899,41.251947739410184,41.607585306095146,38.712267768788905,37.00488188594847,34.31794068924531,33.731613352478185,29.79266395303057,27.402752745323525,26.3093791554117,23.724072790618337,21.229301297861152,22.138739946500554,20.394233426432567,24.67774958907627,24.484291748398896,28.358901618155127,26.71090079618503,23.139443166273885,26.498403572090606,28.50220208397175,23.94992910643932,24.975173487317413,30.56806854972183,29.494502077482117,27.709134723140313,30.42508219657093,33.25251263558744,30.930727334841144,30.34812238888535,26.7121279453588,30.014394215652576,22.399250959057294,23.77110483350212,27.103882067249693,26.365548872814493,30.18709691683116,28.907721140897614,30.982649679799962,29.128297915442808,31.103208671471524,30.963344481268066,30.638955623529718,27.70919884901557,24.82694450770995,26.60944738059342,24.651455307576764,20.86314622485205,21.214774730558712,22.543406829023198,17.843241664452727,15.524529022454677,18.349155152189475,19.531081856724647,25.439379615523144,26.949798986631727,29.048080412558267,33.03098566495131,36.79686896813498,36.83210741450572,32.12151005173853,34.601928101481995,38.316852615034115,35.36464123661885,32.94521065582266,37.28514876984088,38.400368125898666,34.63433703882597,36.10696278500405,39.423381645058534,38.68647593109633,35.38318598000593,36.803833400693165,33.19790823838991,33.646393604386525,32.14056838960135,31.515497812289535,30.800521668751305,27.580020996673344,26.808101390011547,25.585451887376564,24.167589623486517,21.445544963291,22.035779372339366,20.217312117481253,17.895863374872015,16.61804961310261,17.159541220776003,15.597893397572712,14.113572264205514,15.386922933888405,13.544471062602826,14.98688011607761,19.104402124483467,19.86858539897426,21.416386050431658,24.922769964807262,21.901463927989905,19.363120870499287,15.568652491351905,15.139685148569393,17.512493650650665,20.692998276189947,22.397716418838886,24.614224903132204,27.644660565437547,31.28194717537252,32.34807611724501,36.330879973704924,34.84465927147822,34.05394198121014,37.68965578299097,40.0139731735782,37.380461025603985,38.70898469887436,42.72726097480178,44.5713323717041,44.70417693286556,44.41468461425432],[29.97834759264873,26.64291111804147,23.155980148500287,23.322591180594447,21.964991053867514,28.412344089791823,29.705820982292657,33.09871581829181,35.845083672240996,36.39711402898927,40.1924562023123,41.88136704650783,39.001984634820566,39.579433789025266,43.95132310671646,43.30687937038855,40.19106152654831,43.81122215158479,44.601360295024975,44.410699135238694,46.76995032618273,47.7598720245188,48.77790924305013,46.48020128088983,43.63111774601369,42.31598978943464,39.86944607262236,38.66118802665668,41.29951799089232,41.760681145174026,48.04718238494697,45.98387761912725,50.46405895843325,53.09697964785618,49.09208219470453,46.60125728116739,44.2209821876096,42.518125075619494,39.71148217450338,41.78684948792935,38.902843045493256,43.18602620592504,45.92856385912233,43.34324504522312,43.79676265551578,40.343061909629874,43.08340716370991,44.30400888787442,38.93666266668506,39.618700265000065,42.997575828272836,42.93269940692732,47.69175325893775,44.10742060656609,49.366662181149955,52.071019278358754,49.424124556391185,50.53944132654189,54.870909218825,54.10431354356383,52.09879715366659,55.819692325975204,55.69128726592725,57.314333634234934,53.48188482232268,50.659626468018295,50.43161889893365,49.24238177357495,48.28562431504409,48.265689951785376,47.78649242757961,51.16752909777442,52.30528601853419,53.52664753391465,52.37752601010626,57.62218302517055,54.13943976554363,57.20348656591535,54.07071157803162,52.64317297752697,50.29458680651381,46.898107112322386,45.07226225835279,42.65376511799763,39.71317435444134,42.01109732666156,45.297716630851774,47.691930123067486,48.975099561913886,53.810412527353364,53.26507375904708,57.546228697457664,55.352584218792416,53.822014090558696,49.667177931639124,51.91626616189394,48.117186142746725,48.193499790316736,45.39145568448946,46.1491009152165,45.04168162250528,41.736164971382,41.622707044672886,37.44357038973,35.324805343836246,31.587416986884,30.728581470348804,26.863187372278865,24.70110085779116,28.588875524532185,26.82718932668033,28.17988880507336,30.009955303858494,29.116627039735835,33.34613578037917,31.922767508269445,35.57058219239022,34.31744770214834,40.33726390668233,40.7575254785052,39.14602333773658,37.34391170996891,33.296993666458945,31.293017315613895,30.02092972578724,26.048674291071126,25.40553498893814,24.21077702886118,23.10142975450502,25.7146674875602,20.214113788268094,22.265818880510384,22.513126200326205,27.09320264425849,23.32206919707749,24.098499527448094,18.52019728027714,22.24859327896783,24.455092255117172,27.47131827984872,29.42331713537892,32.33621937380518,34.765236638847846,32.628341966591506,34.8491313824958,36.34201107792997,33.637963302370125,34.4466474046694,33.000372734402895,33.84221568094053,33.66796698802376,37.24132524968567,39.55006835870331,41.598420921975745,43.94214305004232,42.191138858838116,40.17117224669272,37.55873336915204,38.340980591939136,33.59728068130145,31.199029872819047,35.635329986914265,31.568573428935238,34.63928649320243,30.44986361885872,27.210179546188915,24.977050079484084,23.79434495620832,19.96083034294941,21.141608910554428,21.894479608855615,24.839770230867433,28.631952334675827,31.523606776366744,34.92776189711737,36.88339523698589,39.167676373085996,41.96180889867521,39.38700870889196,38.33327116382639,34.10949006352293,31.500461872625007,30.856599415426313,30.715029312283974,29.701658446346123,34.52353113718824,37.074251962837785,37.55494380425354,35.05085160759539,33.106783521974954,30.504047067761693,29.579962267371716,25.57582564861445,22.974409719818787,21.715492929617824,19.06477771080677,16.444649386110274,17.313270675364215,15.71265169247397,20.060901942623456,20.14593579062505,24.044638900377493,22.430712020526354,19.196225218291936,22.716760196276923,24.769380605827997,20.667103254997684,21.85359790741665,27.28696158536267,26.478093889656567,25.14023183417125,27.92131781875538,30.53046961833478,28.651862482077643,28.506114836526155,24.89882017626592,28.209957531105005,21.116618275125347,21.66140511273197,25.073970359032653,24.409120780907557,28.756200018465204,27.162824608651086,28.47519253555071,26.18215312980352,27.891637193826764,27.19158214579706,27.08873285528509,24.62227208605891,21.165878932659542,22.652931081137478,21.251021811020827,17.44835820281695,17.142048736438998,18.46820661163965,14.453481766008286,11.757433290114903,13.717357501878901,15.11025736741476,20.778658089775373,22.503667995351737,24.83331721042446,28.650914550410754,32.61397049955385,32.38201755846862,27.71456523470397,30.578368310510516,34.14501214174826,31.13018245651276,29.033462293069057,33.53413291999962,34.669301179616056,31.086788579624873,32.78052319428596,36.14618081192762,35.58582296080316,32.51427156963507,34.00770924428795,30.388955267445283,30.558670614050506,28.618762354758363,28.195697963820464,28.014866089480666,24.471062336448075,23.39257333922677,22.84089034342814,21.55310755058112,18.13304872703198,19.243393666464666,18.29955468211222,15.424267740870674,13.379972782394068,15.084420899098314,14.442435149468015,12.519998543242082,13.672949537929082,13.495026861290231,14.9628669322007,18.615140973008053,18.711459697330422,19.26818938936366,22.63355108440463,20.309341978503273,17.272686266646733,13.834375175878353,12.322468452481202,14.053858489871143,16.857157303839656,18.018935661233424,20.49216309609336,23.83477245872785,27.14899684393401,28.24471436463396,32.136853047701265,31.012546644872298,30.4383182900482,33.879190217884904,36.194328766042155,34.07269081916987,35.32351444492624,39.243366208724446,41.16122600865063,41.23407330782881,40.954197311288745],[33.10844299227094,29.709600446495045,26.070382712747833,25.45036368460544,23.81840682009167,30.350296332961044,31.085092501567512,34.64991640188546,37.067306007298896,36.98110321316043,40.75570307437125,42.78220322120027,39.347008190304514,39.6527511328211,43.98044318785561,43.323179808684834,39.78519003365724,43.0244733829745,43.20763085299418,43.055883776689676,45.00305342870761,45.829314815645596,46.5478688842408,43.971806652768315,41.44282006082265,40.37516347967681,38.288996468849554,37.51748436336644,40.5708846389902,41.551749669597314,47.74285191955381,46.1450606943286,50.69228532257285,52.94491509772111,48.85123768510357,46.01186908695632,44.002946617577784,41.61380354134226,38.57121437758828,40.52394159471022,37.18445970202177,41.472355784618884,44.10758706404353,41.19082562340413,41.21622010634505,37.55567777002306,40.09885157264656,41.768799594788774,36.61841908488979,36.95698412961953,40.657413564379596,40.91174358527333,45.78345634451814,42.492827324171074,47.97236516910386,50.25108800234565,47.51934395625542,49.11227903353661,53.30942820723966,52.06824634410428,50.21724312788502,54.17892880380142,54.347867649197795,55.546556146825374,51.595026108132174,49.12468327927141,48.82228926655961,48.06230068248102,46.9849871705319,47.403398651584496,46.71711383361049,50.0199396590355,51.33010899094215,52.21093841494939,51.44531464385123,56.58915812754427,53.026559914259856,56.36111929760279,53.17261868575621,51.52242241819812,49.578118007890026,46.02895901513115,44.794439377348375,42.159063136489706,38.90807525494704,41.41862585030231,44.34569094148666,47.25092568979054,48.109144902993044,53.30697423889517,52.64320422901035,56.896258612516064,54.94723347253827,53.75046304589935,49.70314664593319,52.08501219735487,48.36323122218184,48.6910597204986,46.18186610827999,47.49780580228358,45.84191927491712,43.03323188998072,42.303688954276154,38.61352369451634,36.17470614522402,32.811803423823584,32.38770256509563,28.40604900837847,26.650936637201063,30.443581262214607,28.68251103802007,29.193639511666372,30.9932806577878,29.383116372777973,33.27839742223975,31.325457834031326,34.64930131481541,32.8717322775327,38.696537779355324,39.70465543018188,38.12631362417624,36.7397342257627,32.49366560004164,30.978702578052516,30.352967634554737,26.256431455974294,26.793114586979662,25.160726483500916,24.35921142691072,26.62714801720193,21.266175853096826,23.442157446950034,22.712705237528894,27.547753352345868,23.212571984226578,24.030451789798658,18.52714683318379,21.688987505324025,23.50496583022731,26.309161838635195,27.445548297498927,29.97800062566257,32.9079173537402,31.2030543201248,33.47035950089075,35.52928869002503,32.975583531254735,34.40399897511148,33.4457714046157,34.7156600169046,35.13191234107058,38.86107058716503,41.51139318505884,43.87038609294492,45.70046389645904,43.70202642873976,41.27958014311506,38.82576914210039,38.99884839961507,34.40403389160993,31.225251945950312,35.21744175770836,30.551944660952167,33.604143751469636,28.93504294760956,25.260229724763608,23.197754228033375,21.227077255362897,17.85224344376575,19.31145913062885,20.672381694625532,23.81636807105719,27.80813928992607,31.074681714742848,34.68843809427915,37.12701314289117,39.3239676858906,42.24962600974948,39.153191593181546,38.36067431651709,33.596989609633994,31.80021149111461,30.71341672826592,30.126162925639946,28.84363112075963,33.174349659538144,35.600974431482264,35.63221933215727,32.55159069505084,30.892061086294518,28.16494804359049,27.847731693307942,24.035800615265686,21.981475631800247,21.337002386625493,19.303280547926985,17.083820113920545,18.984996454814254,18.31176841862563,22.58413579432096,23.510786362840296,27.28029859035592,25.407284934432372,22.870351765512513,26.667824511485723,28.432235331182802,24.36048956972735,26.09350271206517,31.45717177905285,30.334638333249362,29.267029090510015,32.28141368445959,34.552306823695965,32.53232224603073,32.78970425639217,29.204186426026652,32.85727649505957,25.841900436856466,26.394999061168797,29.90999985106373,29.310728519762844,33.695539911910295,31.978971597588327,33.08239128450293,30.570428373181716,31.96318740975905,30.911105122581205,30.584398562052147,28.553263781260306,25.118801961835914,26.003612437639358,24.545075352669492,21.2456654055027,20.49324962584386,21.0143411314754,17.554069657342072,15.483484323052632,15.827143235866652,18.43402319757736,23.263939352981197,25.29553857785215,28.22984337231633,31.708024268093837,35.97686583913528,35.350157161730436,30.835682281950536,34.265177719536275,37.5866439816945,34.40613221375979,32.78405448875954,37.413891760575844,38.43975975281535,34.98360833306138,37.012057451481716,40.327685039931715,39.67042586582375,36.8816582832217,38.53493585257646,34.95016438961324,35.03931800657067,32.822853425325114,32.50758600400319,32.66220916968984,28.952084702242505,27.71205506174107,27.505119972165332,26.3078474171997,22.59756724720674,23.764806383491255,23.175844848182315,20.248666671070232,17.90440580786716,19.682655452590442,19.314310102734062,17.461238858933868,18.300348296744577,18.10629432341911,19.074455751794662,23.120157018392963,22.730814257065415,23.42407975127394,26.296734727880498,23.70669724119547,20.72627959444774,17.49172835785636,15.80749907320426,17.970690633132836,19.662305628312858,20.529891971304284,22.388576725219153,26.749182142803,29.82247231744607,31.33324875767436,34.869068780755406,33.778203835155516,33.80448279431589,37.19174664539653,39.02407149383753,37.38488539118933,38.942505770980844,42.71216558862323,44.58468922534774,44.56511438517019,44.16930594120873],[29.012473819369642,25.493102039822276,21.481046550107262,20.785239598996935,18.586984309285118,25.163911109795986,25.728615913745745,29.234650225425575,31.713641284610166,31.66135039532451,35.4430347219352,37.373963362572596,34.003133593271066,34.44975351299992,38.74669948239853,38.068018713539175,34.67632177012907,38.09417589034079,38.632745721030645,38.48167967907487,40.72033845905779,41.75428640405712,42.68391468874869,40.35849543101053,37.55019688699327,36.21301645719946,33.87087644836697,32.78104424446643,35.623372681161065,36.3961766853297,42.60779648685378,40.88238739463435,45.41611937755815,47.810943057301465,43.772481510242805,41.05086727627948,38.951280009079206,36.878359453153934,34.00902504599828,36.32646791526885,33.08753780545426,37.27275180066375,40.12129329585148,37.50609223765828,37.88252230292078,34.4620679679418,37.35057554844713,38.59510215804703,33.24198049382599,34.232268013025205,37.75095261336121,37.550092773860335,42.36157880009611,38.6616014260829,44.154823264988124,46.64407957968469,43.78716886702901,44.985039690542486,49.34447351849351,48.43276471203695,46.26433583104642,49.98008739665111,49.889614183333705,51.339639428548246,47.50589129380754,44.75882211613575,44.414530166923385,43.36587693878806,42.36409902792102,42.54202913969122,42.00559957743539,45.39876425208597,46.54333433420092,47.601577267598586,46.60559587423055,51.82833186288151,48.35007225975664,51.56790123975569,48.46892460307398,47.03987933062111,44.94230435789266,41.613184009412684,40.11268026323426,37.74898524379066,34.51646869019673,36.72281820655326,39.74586196759641,42.405826296307964,43.34202991987498,48.367558090829,47.68441660834344,51.934079191571435,49.863842905085605,48.54081463224654,44.450787943305635,46.80794149359201,43.08068703172797,43.32146572473774,40.762740257881354,42.05652314694463,40.47473832984253,37.69841835550967,37.0839360925736,33.427693521349894,31.33867260484265,27.768551665567777,27.654464158824744,23.797484554215206,21.75342213822006,25.34551459754462,23.381020788784493,23.81285986745642,25.543278893970545,24.029077476790068,28.041120886605803,26.30105896102938,29.780236088232567,28.334907094636716,34.303974770551925,34.928226388800006,33.3863317450592,31.798350185255508,27.703674147926268,25.93602451757506,25.111127474800863,20.93084434722435,21.360529075304612,19.735310937902717,19.082156475959145,21.668151970907076,16.440983443044114,19.216908946036757,18.642280245017066,23.20705991348976,18.624507823388942,18.992132607707283,13.36916413643399,16.58606287962723,18.607497124770944,21.538752141008974,23.29058873189129,26.1680582344398,28.662718429659922,26.636804501732612,28.947883687138507,30.64513539608714,27.979718087972802,29.171296652613808,28.11206661197265,29.279605084633072,29.71458646461901,33.42876647234274,36.15669675610748,38.56756577065299,40.282011900748955,38.27792449743103,35.8412006404334,33.438906262839716,33.64906871624732,29.14068417116967,26.11788686517927,30.26423503888777,25.841879443590628,29.096677885670882,24.870292491203386,21.314970219947707,19.52375939798846,18.316291294969915,14.468786636121841,15.209095619984923,16.316896929984082,19.141338804712547,23.290806109361654,26.429978893770958,29.910947223887472,32.22647594907054,34.23964754654478,37.355829841378274,34.48745714858277,33.78198199763263,29.254535997139392,27.077005387839673,26.63589267769125,26.517048968198278,24.978055739695755,29.488653860180435,31.66659798158532,32.37534414721145,29.551792154398047,28.06810106219485,25.771476094535153,24.780176839120262,21.167006115706094,18.740133628508364,18.13324513607046,16.387259838784203,13.155773854653596,15.264234495841022,14.287950748860682,18.13092890315176,19.780780772222226,23.085710445789477,20.765691568535086,18.7829692887722,22.929976610151982,24.11497551086109,20.08642802951132,22.451100383035573,27.670889091719612,26.143110566870565,25.50030630071179,28.760320292991654,30.535240487945323,28.60599953016109,29.47223785642407,26.014286048711472,30.036619621663085,23.705538612301826,23.795071684645468,27.543332376640866,27.66372889591369,32.43616973185935,30.91209746582479,31.450323405350993,28.80870524316308,30.236681933859703,28.55387407054372,28.989650248277123,27.35240827669489,22.942045463141973,23.906125312482384,23.61611275319785,20.02988477170482,18.446769863152586,19.526895323662114,17.191812171839278,14.257807287324518,13.326017276633594,15.273130179445879,19.829247194164974,22.41290896163085,25.13344750977984,28.39450326681398,32.73900972252334,31.57513312818056,27.028094618019097,30.748484118685255,33.7020311291868,30.12837176730895,28.82053939955316,33.49465503381174,34.2474324416043,30.85840232073413,33.39028193539149,36.527557846441994,35.63515669561684,33.28649956622857,35.28559395154068,31.835372247707305,32.07146039131629,29.616410507695058,29.93824990290361,30.22521753084579,25.887418055370453,25.03005356987581,25.509491300204957,24.011963173560556,19.936507001664534,22.34141264541212,22.087562468353987,18.204933523431723,16.1117721827437,19.29496792847795,19.049108099557074,16.360525582373278,16.148798245672193,17.532072613726932,17.722873038016033,21.472147492548668,20.00480218427882,20.07659232829629,22.343241469986964,20.162514896977335,16.99297872611434,14.40146196473816,11.984597796556738,14.170042324320113,14.78567765759471,15.649227785902779,17.08056193095708,21.80834014117466,24.809153672051536,26.61494515398643,29.93956179934517,28.709053649897527,29.114107483485007,32.507822452636546,33.98090815593176,32.63560711186258,34.447889156077316,38.07130205780153,39.908529485730824,39.842596211055245,39.399041961194236],[28.032499336639617,24.627198290618374,20.981008837200406,19.268164032535434,17.857667041403996,24.07593718054563,24.52463884617391,28.455011637998748,30.271400610824024,29.92216124066314,33.663566043977426,36.05379639357402,32.62455559558975,32.437298197035076,36.9795786588903,36.644284688793384,33.0248804949089,36.38686348889484,36.63985814186741,36.994319446540175,39.04943179946139,40.46881718351388,41.085340235777046,38.62349024690265,36.0576162228489,34.38639665306884,32.41303660466318,31.214039237941677,34.29626358593015,35.394811241106666,41.19413513737591,40.03634248661767,44.55914520871584,46.91673254149498,43.01701414204789,40.05131151312061,38.429453536348646,36.1331003014074,33.360770298350786,36.33052310424337,32.47124941592897,36.28763663158432,39.45241743456965,36.822328709398526,36.911450309334136,33.514452359032255,36.58762687229902,38.101297728073504,32.900537661921305,34.289454669949095,38.08580096794845,37.75110897221717,42.60247697625625,38.747855705102694,44.53510230415433,46.69335745310998,43.48317808253104,44.74214961903707,49.16389020270906,48.021427575260084,45.48203599230523,49.06831742771628,48.891212594039786,50.003990733414625,46.2671113912309,43.60125021909868,42.65542886699483,41.699271208530554,40.19970453541194,40.396252347515606,39.553891177385786,42.743845479200786,44.2783789814077,45.4801928399167,44.86538140930061,50.25541044338843,47.110598004917,50.55929458336742,47.707007942917215,46.505088388111815,44.752713167006654,41.717813736001354,40.47902559754138,38.40232317399164,34.85772607063367,36.68341873359844,39.29852816115388,42.13327996415995,42.475579939925076,47.593504858532945,46.488970724843824,50.52150056335227,48.394519068304845,47.22174675610339,43.020993008749265,45.18857343135281,41.3431037391902,42.204325747497116,39.801535392208116,41.56307605772866,40.08691093081959,37.88129183694826,37.220633416251125,34.07660209669985,32.570416114944926,28.88542107605978,29.475446068918675,25.865589703729377,23.49580845335018,26.571056548679785,24.000681613878733,23.911974006400357,24.867830504636935,22.988322405729242,26.436208036559336,24.343043442364866,27.813847638835462,26.001665467339485,31.951813536917335,32.79155194288381,30.903100336875035,29.432517433434665,25.04246426549671,23.61431009020685,23.157380682933944,19.497719965846045,20.79231500043017,19.661044285735667,19.88876932449693,22.972175836614205,18.29536609515045,21.775731459777397,20.881922647021852,25.117965054234574,19.920404922942932,19.347574001569036,13.860352823500033,15.687872020289019,16.746412190463534,20.01805714108198,20.94378648680104,24.222805036602594,26.893761533582932,25.12774320603425,27.887648655004377,29.594402149211742,26.799883051638844,28.27956111644092,27.679598503729544,28.58637128664018,29.63367398522513,32.95881455546112,36.27645491367674,38.48344108916049,39.809430300752716,38.03448063531129,35.323073874926756,33.43616403698875,33.30028365198239,29.40162987147144,26.087281833848234,29.904401229184664,25.176123085569998,28.931112285419417,24.942333147877996,20.801894859266138,20.041954380696637,18.61453495527457,15.131169483252686,14.875921600265565,16.679800851802536,18.877900570575957,23.632945664838545,26.93146112764877,30.305359106596477,32.840579645866896,34.262363859743445,37.93531893292295,35.02616199944547,34.76065732558271,30.155356470480505,28.19774782279978,28.328395209971738,28.362969470019788,26.297806966041065,30.342248125346305,31.903154076570527,32.95837484043903,29.56118354301389,28.849356600413063,26.910639700164584,26.030238189577965,22.973470996032813,20.849824774416724,20.808141626820355,19.715399512115486,16.111454088637238,18.59625609419169,17.411256929953616,20.63187708259075,22.80729892344157,25.570097156293905,22.679288717668406,21.03806919343418,25.418366631764407,25.834797217351202,21.23626865644225,24.289021269983074,29.57520366874256,27.10816009977093,26.466878181694362,30.051818298786873,31.400090857259684,28.907301530351234,30.12765794083901,26.758269786904616,31.393665843266096,25.14830511448481,25.696169117127464,29.701363762155452,30.4978571988438,35.18370169612949,34.11912957269664,34.856683432902244,32.436042821196445,34.09357343340982,32.31706660245877,33.12097783802875,31.44224988157942,26.729427272936846,27.931774089882683,27.977222252340894,24.209245291998045,22.54675841793533,23.876680095541627,21.669875143798457,18.489958640921238,17.463202555804454,18.876986412606623,23.286378496644673,26.15785810389511,28.60020461563205,31.744901817858036,36.039256180643285,34.51541966949884,29.95877040696987,33.69250014022059,36.36045343572037,32.39377385043284,31.186620915769016,35.75904556792481,36.14276612481573,32.637714989548904,35.58308995810983,38.45484322364481,37.027659248076034,34.992387027643225,37.36403704763536,34.0610775067349,34.7546393246302,32.45018453644355,33.20638150184736,33.1394654525443,28.430766756594924,28.236432359380746,28.727377159401335,26.80172743480239,22.9888254841556,25.991070375886707,25.250462534580098,20.92049230782805,19.66157825637845,22.98546456058241,22.08769427758946,18.96176005765011,17.804260905078007,19.151639343567123,18.27253780158776,22.43422502484089,20.244312582183543,20.917118477231842,22.477410080980142,19.662806492222675,16.93889785551495,14.640280407182535,12.803546847176394,16.08557852790998,15.831723425835131,17.437671056225724,17.678513337739137,22.651651634603216,25.91483519601463,28.168092838217206,31.20181536098511,29.308154378643323,30.11918365697077,33.755184294595956,34.58618641237041,33.111079766339714,35.469597072951686,38.98146482998391,40.66014756461918,40.5917521573022,40.02307632491897],[26.804175551521606,23.346992342134136,19.291519684005216,17.22147302343086,14.776100193832372,20.839072492780648,20.63326577196524,24.45289705435593,26.193871175261897,25.48219321476658,29.19845113470867,31.59657231563354,27.901208548695948,27.81967454622461,32.2314137553693,31.800117288907753,28.13425418827038,31.475723117551965,31.840261203040154,32.13661681862167,34.32731280389321,35.83729372234103,36.58700419444718,34.308288495684856,31.55380647318547,29.74909731083834,27.625018991957372,26.30984834843428,29.346445141890108,30.467554391347342,36.276345646256594,35.16572895709105,39.69616270045769,41.986233396963875,38.08971810364732,35.10265702526152,33.53830921276327,31.25055375395367,28.558685988524758,31.800588220162314,27.90983300414656,31.611239173094408,34.90588352635841,32.476981518712236,32.78933169572444,29.609394707377973,32.922024788403114,34.11636431470509,28.84907469946535,30.758973841719953,34.41520434159974,33.74262279375761,38.5177346132312,34.41388535655839,40.23643712150639,42.429816785173585,39.1081727885213,40.15295684732448,44.65020066087645,43.66829064487363,40.919572217200376,44.359633216139635,44.06356799295294,45.28597784047386,41.61297979965434,38.815849618352864,37.88265087398501,36.81767520716851,35.429019598705516,35.600123581263624,34.87498643296764,38.17286075378219,39.526998048140456,40.70682263800799,39.97017995910076,45.35395683581448,42.20644513933018,45.62823115248909,42.81372679543341,41.710208404517616,39.96978217418139,37.08601937580823,35.857170921734216,33.96594301791672,30.344895812655132,31.948131745266412,34.493334343161486,37.294841572414235,37.56347719509619,42.65865890791131,41.53662595087516,45.581239656416415,43.47282968205843,42.32793006136502,38.17411117189472,40.42837680395105,36.66034888247847,37.45470174910809,35.16549407119189,37.16261864902365,35.42065374102209,33.50318026358981,32.60791469650408,29.797753425374626,28.482411702348752,24.8975089491147,26.040783248390415,22.65639088493356,20.35697160128545,22.99934519887923,20.34395131915647,19.595190502261733,20.4705390457678,18.24899570580826,21.630645506457448,19.494189136901515,22.9441145491132,21.283956394657608,27.2971361775408,27.980941005518655,26.226540162694942,24.753258082663336,20.48625315456069,19.013944865013475,18.733826105521864,14.841639631672969,16.854319884987685,15.41682037662047,16.07061157897174,19.13626001180794,15.10821861917532,19.056751446796696,17.851730787523074,21.61910151574011,16.094129354275275,14.912035870958144,9.766957591387555,10.825447085935242,11.82806744133439,15.106468840410004,16.426212646654843,19.87992241845466,22.223804677392735,20.28649013921191,23.07598550928926,24.65903397205697,21.849010922612052,23.399801847139557,22.97035310082181,24.056852171712883,25.44350903409938,28.848354607882847,32.33283602382695,34.79987269485776,35.71242039567482,33.751255354027755,30.83711954645019,29.06913439877256,28.625946790401272,24.932072966830905,21.389088369004075,25.0699401685361,20.3559863060812,24.275645124544027,20.641848285292888,16.53182198981875,16.318615487166387,15.535557654375538,12.074564314812935,10.79499428184985,12.588923923287984,14.26293709369907,19.2107405986246,22.47646997084522,25.740913597706378,28.356417028708712,29.53751856547976,33.407387229669624,30.503408397258063,30.45961286151901,25.92744223425237,24.044438977179794,24.648493079687654,24.965651772184223,22.556993995093443,26.41598429380427,27.61566654388279,29.175955873677236,25.90305940161011,25.51684752627608,24.069736020063,22.76114405585273,20.206871072658508,18.117932364944814,18.462162338118716,18.114728207955437,14.147991023545178,17.041186693730964,16.194001317754964,18.543759050446322,21.677916375298445,23.762839469283243,20.506074835597868,19.957110328214917,24.466466679786045,24.227977482488704,20.10633397108408,23.771004220846745,28.57672721869859,25.813628511046712,25.811062588632872,29.535632094731348,30.223288364995966,27.9751628035439,29.92981499276971,26.832293418205932,31.658064371494948,26.344924828089656,26.324289816821217,30.345087011517595,31.60923193537183,36.53281991175297,35.49040673721117,35.57990055075423,32.96480617536448,34.4084544055066,31.99322995224205,33.272526410752185,32.1788404202803,26.914141279835924,27.819390739445335,28.7543524967849,25.180570728053276,22.805877171715647,24.13238420347258,23.115254194209804,19.837197877360648,17.381724753303654,18.595150502552322,21.926844354980155,25.229429469426254,27.655636822909926,30.29331935334566,34.662972144507684,32.51308115839632,28.190852867376016,32.35021491213478,34.48280362001115,30.218685249767468,29.627487006165918,34.16887590949438,34.26956900515068,31.040714296057388,34.501395683642635,37.14118722031866,35.57220736451018,34.134847959149205,36.781819211504775,33.69157783923012,34.36173044261614,31.739594304714995,33.029972638288505,33.32325614538257,28.22019840693103,28.175152064620022,29.403245617312006,27.44248590991387,23.347892347033632,27.10367175886811,26.926871558978373,22.173419824776808,20.90377347801772,25.039338585500843,24.553567964830492,21.158095389356962,19.419374112997346,21.913499929570886,20.622395936284395,24.25763054954999,21.189511208758372,21.1094028824365,21.780802792604003,19.63053129035302,16.917673993631304,15.675322317612524,13.23835342086705,16.050584328107444,14.07181861710557,15.235459555634163,14.475185209945268,20.20872617482761,23.008421942582178,25.68895517206269,28.190009864495707,26.32241611918137,27.84201313133624,31.281712106057917,31.505709970569967,30.731291300439352,33.37506928825577,36.569333826212045,38.18661778563541,38.023366934105546,37.37110583375643],[25.93903105184168,22.346433464501374,17.94542651438307,17.148099332199635,14.135488515011252,20.72292805180001,21.019576574807427,24.435449222830368,26.9842470710233,26.940046634161373,30.720846902198396,32.5430227004258,29.220699321358644,29.837601029031713,34.0774429413616,33.36455569018497,30.136818726730013,33.729871989871526,34.644722248062415,34.484472147997764,37.01601308368409,38.25121652533517,39.39572317524292,37.35154605966597,34.276017085534974,32.67471793970799,30.07306422097695,28.64836684178079,31.24289365194346,31.7905035718882,38.01513519712048,36.15889387552435,40.675554653144516,43.20414411067108,39.227278250242236,36.63311657802899,34.445700926667605,32.71281728197972,30.048052595068995,32.739362230079315,29.639583358316617,33.67454285184946,36.71927753814278,34.442667676661316,35.17984090363859,32.05661407261453,35.24766580858403,36.042010414400394,30.559128726664788,32.19952587118692,35.482111243665244,34.81832768952744,39.51781484097642,35.43465072095496,40.899973613032074,43.5782068796689,40.61570451446585,41.40427489776311,45.90326368216318,45.324160920288236,42.85180246100471,46.30152859474856,45.951659269137636,47.64907475354216,43.95121296756547,40.93766426240681,40.561710503377455,39.220674186984255,38.31321106213698,38.245988222973,37.87577220329053,41.35619073840982,42.31358361427605,43.541113084113235,42.305960670796985,47.59088040940692,44.20026651031339,47.29109043934934,44.289083796779856,43.08827185295423,40.846604055389115,37.76151275443066,35.99735247539333,33.9349384123138,30.742508207165397,32.60416248935398,35.708944179406174,38.104214823944595,39.11532629070025,43.95234700732413,43.25339387250632,47.49411269535555,45.310941535698156,43.864677157332046,39.74141732654795,42.08075452762753,38.36023289793567,38.49888122731684,35.898497849623055,37.186507641985976,35.65625305498956,32.93779427039521,32.42312421655676,28.836912506711936,27.148425377148378,23.37781024986918,23.667269102699226,20.015584784107872,17.666103949894797,20.947018688833303,18.74064912984151,19.01347240948863,20.663713277938193,19.243727464631235,23.38833481930653,21.908707100088918,25.534206827512687,24.492517334420118,30.552623879450138,30.7540033314038,29.278104379612934,27.48079494104191,23.604002415068333,21.552191478363117,20.504629950269717,16.20866527023304,16.545355476774724,14.888115977439293,14.464172667785247,17.434512703529744,12.532740584469797,16.03345239423362,15.63174756245136,19.71098960397209,14.912143171230595,14.64467142136717,8.973491655274161,12.18825606929939,14.476182593605028,17.49971789443486,19.986679654329333,23.174462709304493,25.124153463780655,22.757668527125507,25.08170694829759,26.35600780153148,23.58484213118265,24.50051705163044,23.336085953906302,24.40416048920107,24.885111785642422,28.596521337958652,31.41853354994287,33.90961138742729,35.46460476049018,33.43471813143115,30.96660101645357,28.625071456462237,28.851599591625966,24.456984616565226,21.607953065936826,25.900203344766062,21.79751373071399,25.245726924756113,21.593142474637666,18.28303658716423,16.892926846799483,16.639397937105624,12.551749849413394,12.290965221600167,12.984988933598833,15.267583821916404,19.521434089400252,22.464600617641977,25.757861942430573,27.929952372787202,29.721156791447857,33.041955927853685,30.426326349022006,29.833236972176792,25.60437460620058,23.036772518935337,23.3501744951684,23.75421020739357,21.951935379036563,26.550957253056872,28.416213561815393,29.834765244242156,27.334106101237936,26.07374938623836,24.297430230378506,22.6309915194938,19.39372735111843,16.6931250909314,16.19282072917156,14.943829005050599,10.779700140803769,13.02018120514057,11.79154524011381,14.78500613770149,17.336384873183547,19.940187471178334,17.1128571803078,15.978935851992038,20.388726454889316,20.83696338624977,17.0114388426962,20.074585734636205,24.95868512076528,22.99794339147325,22.888436699036276,26.346138177072053,27.516467517032876,25.73566277428059,27.27618444972927,24.053923677268465,28.36343987410439,22.95843783102099,22.550791635172736,26.404055954144606,27.229663150179952,32.237119433096204,30.923661420866413,30.893859490580756,28.182940476209534,29.582637255484634,27.299286288531903,28.46575697011379,27.281725043225855,22.09523385273241,23.05963151781345,23.910413941101464,20.279309416553957,17.960587296177764,19.478672605703874,18.3826576088332,14.992664323965503,12.798357029718298,13.833436925471576,17.676067922499666,20.772829168320374,23.188742296679013,26.09355326379769,30.443416381983155,28.697472503020126,24.219688747891098,28.215956624146006,30.702995427309776,26.737903981874467,25.843860422255997,30.49477639644613,30.93380642431059,27.678924743526448,30.742346470818454,33.642174793240216,32.51002969526208,30.68954311616001,33.02582112503883,29.782393108326172,30.15494877807906,27.482440060445303,28.467461426483805,28.9092129579356,24.03550627758851,23.59714758761805,24.78607172569313,23.057392340261412,18.782110718667415,22.30483352157904,22.413695299961287,17.847949104415157,16.150465690595457,20.388124224554637,20.29384962948996,17.08336712185214,15.869760010633435,18.644809012445144,18.10921570970669,21.32559573583296,18.82102823266856,18.17911057712785,19.611183561077212,18.020801537378528,14.802462920561124,13.243402878300543,10.178977419316974,12.11215770208151,11.037580933856804,11.807398082764287,12.49516322565725,17.752703737649103,20.581056212090335,22.752744375120848,25.75993490354101,24.39069696611608,25.281852859985662,28.630422921918136,29.654860052742436,28.706049495925537,30.792427278550974,34.2091409584276,36.00299987957844,35.88707648914614,35.39334088259066],[23.849439211130928,20.334471981717318,16.404760920594775,15.498818376358928,13.799191594354216,20.23998580077387,21.17527832045162,24.899180730052457,27.21062168087447,27.549467163163072,31.345222347018304,33.29305062523028,30.40993295734851,30.683033993495346,35.20602850885654,34.79759725962364,31.69199722249745,35.49529368615753,36.527915092142756,36.72445643426191,39.30250470198862,40.84613093650527,41.88365715784043,39.8236297183383,36.82755111157068,34.9264406035427,32.44378806647512,30.73593210094525,33.265084881047024,33.714702990136544,39.6947488816722,37.93737740066045,42.40157401647678,45.1660238241882,41.34170734751568,38.79752652933868,36.70334119794949,35.22103936718119,32.734078912703744,35.80072782424808,32.56229894991061,36.38413042155537,39.62944905838457,37.43490072985582,38.10363221833246,35.011417752192045,38.29129605540808,39.17759753469651,33.73842912054209,35.536955910045464,38.88879497234534,38.14771177784971,42.83544411290498,38.63458623069992,44.13788539713403,46.802999313157166,43.71745130639571,44.390122297436626,48.955179094013104,48.40395052868088,45.711019023132565,49.00494725611,48.486757195378615,50.14289751259513,46.551802765524606,43.46223027703421,42.71324532285099,41.23606664686275,40.00349159545555,39.69310707329039,39.18086809658278,42.51976885652432,43.726786121473815,45.26887171810907,44.12645368634042,49.58889090692731,46.47633631570749,49.578369195314714,46.76365736246326,45.79980930580324,43.563277591431,40.70218678987052,38.78330185293305,36.95763839375684,33.78147195482317,35.356714098465304,38.407497110285426,40.637497685331034,41.51658154771918,46.20912274927488,45.29483816510709,49.3931672260663,47.01553214381238,45.45901633944135,41.165541878523484,43.24736314614866,39.3501817159423,39.81257028380552,37.08263389140676,38.251156182312,37.27275489827737,34.526003531347335,34.47879466962618,30.81345306430399,29.669187946927842,25.556622928367066,25.828251495379877,22.357075047347006,19.48002094385133,22.607866381508927,19.948969410746006,20.710620722774046,21.784126934352045,20.73486631039576,24.704485474516332,23.3310516620207,27.177858080140854,26.138347148851285,32.27319453382193,32.33203255367441,30.52376868363991,28.53705593418865,24.509749327113663,22.382885109719133,21.06903472950858,17.367392019815103,17.207859284802584,16.4626466768353,16.365267184052207,19.942445116861105,15.154278747025925,18.76738921360842,18.863951430276803,22.73782130743028,18.08293523168492,17.379473346302515,11.784584867883076,14.461273169600998,16.236573561410157,19.66345866264492,21.878188667288928,25.484404833833146,27.403078396380252,25.04660268728003,27.64114934079943,28.63252705283516,25.68587414141229,26.384062952466756,25.173780770954203,25.66219064238678,26.062337957532772,29.336261844340797,32.31875200789548,34.3285564576627,36.131714338022945,34.51895167547404,32.19689861774565,30.08547886714857,30.59229134918592,26.47654010041313,24.031090576584383,28.394320578558958,24.446518151847663,28.164005797632125,24.80032117215887,21.348455272395526,20.31917132978466,19.984121153570946,15.986937449820678,15.424897167905288,16.282302292007536,18.189213369779164,22.618350222656375,25.444351858509126,28.5641978803219,30.555064742156194,32.07657683633828,35.61332372772262,33.283166225756595,32.743387394528376,28.76119066523098,25.8717662343574,26.59769269316344,27.189439322724244,25.375232538115515,29.96853026470584,31.655553012245335,33.27412254876655,30.652540749290722,29.580509192033823,27.840076378245456,26.193821462052952,22.98687415707018,20.248262988035265,19.611605102772934,18.079674990536237,13.827608583983013,15.449361826121873,13.331207421575254,16.308820444263493,18.218992719059056,20.80727473486635,17.864572322891522,15.970655585818626,20.367137390186272,20.684985950732223,16.040015846965552,19.101992680885818,24.366229600675958,21.953886958394286,21.36538072955506,24.923449931733558,26.285413126358385,24.00931369073695,25.263330160429987,21.92779153480046,26.48959842344503,20.653832874466225,20.84106992593787,24.866300024528513,25.984694588186944,30.801232658218638,29.884996933566324,30.41134317368027,28.088210164176967,29.925270399060505,28.08958574191398,29.392518821750564,27.671200795938866,22.548804150833764,24.15625801547774,24.807245389070633,20.730224184199237,18.953780168420362,21.03524289200303,19.146056618795047,15.367074263508403,14.678460225769367,14.771406048602504,19.5401694653205,22.411868845351627,24.275201213179287,27.531040497971663,31.611252285410565,30.150926834773358,25.476219276190193,28.917470937964865,31.595107206161256,27.585462060104565,26.165137921099912,30.6772529004659,31.03550078151985,27.46345856699145,30.408332594010407,33.25113920771588,31.827643709911627,29.78505078984485,32.194004995402956,28.933677230433215,29.722579616622017,27.48060140176515,28.479658852029427,28.287075202395144,23.3913454706528,23.508922758858226,24.166752182622197,22.059545317087505,18.278441894451348,21.90736976435631,21.210197977090512,16.460771187753814,15.63108400055856,19.595673510253896,18.706644707645125,15.199490191620336,13.503147341200798,15.964943396413805,14.956298670827204,18.510280550114153,15.983490525529527,16.03531326784119,17.64791148830436,15.371445489308527,12.311972762683379,10.316102473928055,7.860294147586931,10.974849204267581,10.801062504935791,12.799235513220815,13.407121834984517,17.75672394334379,21.24323663751551,23.294542093379754,26.571392059035357,24.628147220591643,25.10119281683184,28.79342181575489,29.928092072763484,28.213967237162002,30.40342448250877,34.00681816967247,35.738614635496056,35.72304123710035,35.24644309045737],[24.24472274995708,20.848115076083005,17.35345611200543,17.098857082072303,16.175872289561365,22.469966251072393,23.94413228675488,27.585172341077133,30.04795447267733,30.778524102847754,34.5638131057801,36.36936208433381,33.80427215803847,34.13018790091441,38.69355882441436,38.31617558765122,35.36484062765315,39.25558850044932,40.38067936686575,40.55642624843931,43.162096573391985,44.65428931095933,45.71010977134765,43.6194725634625,40.63827715845813,38.789675855914304,36.28368385454168,34.563902346541425,37.00712707411798,37.30079418824838,43.31249338048015,41.373695979773544,45.800666455832655,48.69395496805478,44.88735931004569,42.46511675165186,40.217910461262164,38.90743333281731,36.42216306986387,39.29673690349483,36.23168604096443,40.14574582383909,43.30871852342355,41.07431406357807,41.73345883617836,38.56232285488093,41.729074020430964,42.67486816842551,37.22125877911045,38.75852207671695,42.08620639209334,41.48614321741207,46.17920190380502,42.07984005457638,47.47461456982554,50.24323720098074,47.27892760830618,47.96114694984367,52.50269181586949,51.988773058855905,49.419223136486316,52.7524264013371,52.243381975215684,53.963595595761156,50.35586672411862,47.25674889804428,46.572958117567595,45.05396362608945,43.83069776832769,43.43519231196163,42.930668498091585,46.23824541799226,47.47303701744721,49.09371947164549,47.89846598442039,53.36853419628266,50.24762658936219,53.27668750419566,50.434026406406154,49.44561482802136,47.080196073462524,44.14665903412561,42.06726227961713,40.16386024870657,37.144774149872106,38.82913422849091,42.02649680209029,44.136984592963024,45.20860580682923,49.81198497061685,48.976168498039684,53.08761824951312,50.64788646362479,48.98215655826765,44.65638062107095,46.6640826247052,42.725519748050374,43.109514154816125,40.23822960167237,41.070582715413124,40.39394400172542,37.31667527211146,37.571571348537276,33.57142063852261,32.35553479514282,28.15475513465621,27.910801374532397,24.381414067656998,21.451130884085977,24.834970511459375,22.340974749341974,23.724129518580444,24.889988427296814,24.225506157399554,28.296099043765064,27.083118003478415,30.98497238664341,29.993484874761936,36.13098282379986,36.13680510138363,34.281943242330634,32.20753381563064,28.196667975252858,25.98915536344985,24.441875536897452,20.911828483584028,20.062776319524744,19.574226404578347,19.104068205760814,22.622964258779973,17.54303872323078,20.646740016583767,21.19067588640776,25.214402896001896,21.019275587082504,20.72144415228063,15.113444450256502,18.214242084649158,20.096974392992404,23.51337561698945,25.71549767026789,29.270080883575154,31.2589830986662,28.89499081272062,31.42623464808846,32.37406939637534,29.42889597218702,29.94035183112317,28.50682836566297,28.81134963999365,28.81061341144715,31.983049081453018,34.68626587766986,36.439882271473714,38.66486716230536,37.2294935368919,35.17966887633612,32.93386539570883,33.79729043972824,29.517974722662238,27.424719626850603,31.945163436787112,28.14765320557017,31.723685982204287,28.252593759310276,24.917991239539695,23.512645503471727,23.000685157567286,18.95214409840721,18.899053360310184,19.63585099595963,21.792787791634378,26.006101789460626,28.740874455930257,31.861828746916036,33.664516213808625,35.38508299826564,38.70504805562301,36.51111928786079,35.746193392679466,31.88060028120432,28.782700267490245,29.274882141995718,29.780504623745248,28.287385565350796,33.08820062680656,35.05050735090913,36.440558246219126,33.92924223586856,32.55326435797004,30.540665698464554,29.018009710604105,25.48007196244761,22.63580260955588,21.611550462928385,19.47489491122972,15.572210336538635,16.52589726912776,13.98969245896503,17.48195840926631,18.325563049128288,21.39500120953195,18.917744896893144,16.022476906244677,20.087379510221943,21.021830351656313,16.166536743535453,18.42997435751744,23.99492765824372,22.008470195378397,20.850469583761928,24.15068360495934,26.136054169342742,23.80192741385381,24.31995992588062,20.792896887731956,25.006641197045397,18.44172253470739,19.052408473564373,22.992669429923115,23.706736355009696,28.313918254634416,27.413502990183094,28.48372724141329,26.401960959377437,28.483195972143797,27.25605608580573,28.26387338528791,25.99464562593282,21.352441440811734,23.3565851271736,23.36668313523966,19.053052686793546,18.00899811792863,20.315547795936844,17.43386208065427,13.605514545734236,14.599676873560348,14.383080430318124,20.054100937642463,22.430263956870668,24.071517026319434,27.743412512907295,31.61661589487964,30.75569832809789,25.947283170535922,28.846132670421774,31.96076960232189,28.292567114640857,26.297511673264157,30.732835269534746,31.345880579971187,27.586378530106504,29.987907732788557,33.003085978651185,31.76158051577887,29.189203447629197,31.29954422996598,27.889313347409193,28.69590244854787,26.801173613931876,27.343556516808814,26.778877851311396,22.302156040835445,22.350012779334435,22.316953833485204,20.225687750952666,16.827527527526936,19.81360870805397,18.5511815763839,14.167384150426718,13.54199970137777,16.81378446894312,15.478622860023926,12.113575673910399,10.967953562411624,12.554193290954325,12.11410326499436,15.919809607650874,14.366911794902242,14.93202590928123,17.47481068288112,14.90095466155766,11.858073473676845,8.846466308622635,7.106475699266406,10.267408710147619,12.048082968309831,14.28015106771057,15.776081796679025,19.08731654022319,22.844575539894095,24.394900916757635,28.100654443667427,26.213841273327308,25.970322276527156,29.739054141054133,31.470011195088198,29.16194613372162,30.98034036968711,34.823384269250376,36.61043796306749,36.6885336543575,36.32140852486751],[21.79995515065713,18.562798371681357,15.688005490100254,14.91038484954873,15.312345421022387,21.100766037405304,22.933485874486966,26.861056432502064,28.88048757347888,29.788684414644923,33.52024048475859,35.5321144316433,33.30423387299564,33.20565101250546,37.99466694752813,37.946472694409415,35.07302078079228,39.09830414876584,40.29635573698449,40.8740135886262,43.5064259307978,45.369504120008294,46.30042545599686,44.236643050890464,41.336349804737225,39.132368981423944,36.778694972298865,34.77057424229592,37.165481373081924,37.446104986571626,43.10741185900787,41.415035539378,45.770627496122266,48.830323795175396,45.20987889141061,42.78098076146065,40.753465629318896,39.61770269644003,37.34165916338544,40.741155040274094,37.429518830317114,41.03307662948741,44.46141853505948,42.361751718000455,42.96925998312257,39.91030771239722,43.250619265752505,44.229500908186786,38.83785943531883,40.742881791453,44.14504780048056,43.34907598843402,48.01615989051455,43.71116731819369,49.21279210927961,51.89723795143281,48.71750444456917,49.248416774929694,53.87453775146692,53.3792459355003,50.47693026616976,53.590886035746756,52.878582282918714,54.51158047633886,51.05417344847229,47.87894668475806,46.74069575997443,45.095470443108745,43.51411123697102,42.893491153439726,42.233437445994284,45.369841491364134,46.85712549430072,48.782856870522785,47.72595691710079,53.36464747060076,50.582593475564295,53.655590568147495,51.058287876595166,50.36260543241246,48.09526017322639,45.473894852631844,43.33789047183469,41.759956414987684,38.65823985624055,39.94817736600987,42.973893295833165,44.96726260055621,45.75889648409621,50.23206746895587,49.10343300659218,53.02119224767729,50.409172514126254,48.69603864194354,44.22858239377889,45.968443292619256,41.88939358703312,42.69553199742749,39.799162767666914,40.7098351397144,40.47358757549617,37.62774872938785,38.19372970226739,34.38422676545786,33.82350454886671,29.373137520064912,29.491256901893426,26.249706655366065,22.889510507993773,25.836289915394573,22.818416330794445,24.241176085215184,24.70513377135584,24.200404459699147,27.91953925842203,26.755075617311544,30.77965924226809,29.795142467904224,35.92107386927867,35.78745482140839,33.62591599776648,31.42495120931049,27.338491268966056,25.151349592820054,23.50125434100583,20.637303890825553,19.74538212797682,20.042497799390933,20.158132603851204,24.205676864824216,19.555111762787313,23.077530830975117,23.738928397557206,27.418940411544565,23.053612220281618,22.07992747563744,16.66001750834438,18.95959203717768,20.26255948076758,23.96329403445648,25.89342030082243,29.848093926054997,31.708798373753286,29.376592589998907,32.192775861412926,32.855127002709324,29.762891113271195,30.156676099994698,28.8463670515828,28.64417184159729,28.825524459310113,31.499547891908136,34.53298936289615,35.86586871546605,38.05958181094322,37.01549914248965,34.97744961250584,33.118623134315385,34.03598046777087,30.232662857571313,28.34384406402885,32.7814816853603,29.086316120705376,33.001222067462265,29.925970125270183,26.405219164357764,25.604285490207964,25.182909315675897,21.249487329192906,20.566843182258243,21.496820125624144,23.128980680028114,27.61419761154361,30.277363592508888,33.198554726049935,34.928939884366244,36.20609358786041,39.889426991075716,37.92368914950451,37.379361568546734,33.70950281345871,30.447034708079205,31.529659700006455,32.29375575988443,30.552922848685466,35.194106166516356,36.77021272868218,38.54721912260823,35.85592268752488,34.88810782207725,33.12461864476161,31.510398681215044,28.25093651747996,25.443123382459436,24.591322543079762,22.68681492492445,18.483576556274883,19.391641199604187,16.460477134380355,19.36053609990344,20.252993998090158,22.813725927950316,19.982857723658828,17.08507443690283,21.123726188243513,21.409131417303485,15.921807985319523,18.572821343155777,24.191726561662396,21.368548611960804,19.974669834686527,23.47844800274904,25.23364907222458,22.304969879091114,22.8935083956915,19.43425751154767,24.15392152820074,17.645812936704093,18.87370949944733,22.98717923369817,24.409317950946182,28.7780998520451,28.457450639462845,29.855703257768706,28.16414444932251,30.575469703057085,29.470069966085077,30.8547566101586,28.396526161032035,23.612764004144577,26.02425525101669,26.300928477975216,21.78633460861147,20.87580890911468,23.560339814074148,20.672555434233875,16.65778626868643,17.92930088856845,16.981941057407028,22.674800758897312,25.11524045706306,26.244340917491762,29.91754402821785,33.5554063760619,32.59276348843385,27.757722698312158,30.33207443024115,33.28634208970161,29.389100668525348,27.22951973568599,31.43649130466875,31.747641313664253,27.808203795405138,30.3926462303121,33.144549157057355,31.407845791983053,28.976165946149305,31.359316230196672,28.113848091174255,29.451492199651824,27.911531879758623,28.801029077775336,27.68836814832591,23.013960849292776,23.85088629273604,23.6291297006882,21.080997944515364,18.268633534308016,21.719422000841035,19.804309674477075,15.142738277437365,15.679629528048478,18.86281894515764,16.749190842937523,13.033435070923803,10.74545020663464,12.243050562611481,10.448309690370367,14.60257083634092,12.390110930375654,13.817465731320144,15.873225254735985,12.50318209500948,10.004843068059186,7.056375076291148,6.689167273625155,11.012680176389818,12.474113947196667,15.608956704901109,16.306311077690598,19.081619248088288,23.24630010149745,24.954522382339686,28.5698144319858,26.00778586767226,25.75212274218423,29.794770289841097,31.202743396626012,28.39998875844929,30.567691468590166,34.40231531782449,36.05365129074782,36.19231256025255,35.78186423081617],[23.504984809031694,20.48106326214744,18.076982042242307,16.05224397481496,17.12886099526093,22.4887737845906,23.980822993029182,28.272168437012017,29.587177395080936,29.984011861457375,33.644877433480815,36.16906991693365,33.680646463768184,32.93498780192726,37.89297557945968,38.121030398886525,34.89708266687473,38.68923499832492,39.37788585759284,40.365167505898555,42.65244243950628,44.71444850444736,45.26456504368822,42.964375772156494,40.41650764694184,38.09208700119682,36.20155615050737,34.32862215151844,37.08445895492074,37.84318154359967,43.128382197854776,42.077219300301,46.439240685195685,49.29348371504016,45.742158941135756,42.98411250541427,41.47092188918244,39.8586582601273,37.5390607504221,41.2823059259784,37.36075541546313,40.709664370978814,44.28721443122758,42.0138084251187,42.20667352249929,39.06503104695682,42.41005305244418,43.7996862735865,38.627604958762156,40.58788860084329,44.316580024479855,43.61536606077205,48.358314283506765,44.11946415261582,49.9031246598239,52.16725181471185,48.72818991113304,49.54062152839902,54.133310241437925,53.24667858428909,50.18433446520499,53.324231486639555,52.69894245690923,53.878597427666854,50.43996571053451,47.50377531832278,45.88510266466503,44.51765855800659,42.48376964636651,42.07434504438568,41.06107357217708,43.96821906777396,45.873343854706484,47.764380148210186,47.19425669747453,52.90094254198417,50.344131115674436,53.70689225760555,51.26323026174709,50.61613709169554,48.776859718815686,46.268537066367834,44.58756592043674,43.071474619606875,39.63285191473404,40.799185667349974,43.38204404103258,45.734251482688364,45.91785283912562,50.61650189778714,49.129752166870134,52.860649797910746,50.31950999802587,48.87452060442105,44.38041052304408,46.0150552422451,41.88300711515193,43.29459089118818,40.65493846274733,42.145453425040756,41.751790345140925,39.52569777322661,39.77547106459954,36.52622136946552,36.12904425974126,31.816984471336568,32.49769534625521,29.300113774301426,26.029856132593352,28.67212880820861,25.361790177329222,26.03968935142281,25.973295344547424,24.8780707324593,27.977065359688215,26.305912859207172,30.149297046994423,28.6353315239513,34.61347842490284,34.925362714715625,32.48730837798702,30.577883905348923,26.168635302867663,24.51340710285364,23.469690294347405,21.03760700664288,21.35296372516382,21.749450828276373,22.51083248880412,26.586777456008313,22.234960683620564,26.088312901232303,26.106143883637646,29.822687220905223,24.87214719049707,23.472593087304197,18.17226787952627,19.40160085564162,19.82896460848348,23.633800015018547,24.53190203728012,28.579787811822204,30.797380516173853,28.880283159493946,32.01813434891379,32.956051989459866,29.86128406640845,30.74803776499832,29.992530612684398,29.809791047685763,30.684633960617514,33.127010646569275,36.69863531162972,37.99941860782412,39.69035445877338,38.72113833267361,36.32664748801594,34.90740606925691,35.30714944894316,31.986094485895805,29.541023966781072,33.536687135506774,29.366528137724313,33.56917941881346,30.398342586114854,26.329182360535782,26.18125055990499,25.249182844341977,21.724853719587855,20.688086815044937,22.281812457932535,23.681140947231295,28.593297737087042,31.532771148382576,34.49715815632336,36.59339910796801,37.47228474150326,41.54857807648893,39.30156293038652,39.13423753076888,35.14407599130769,32.414358049808726,33.537610109333194,34.13634496738029,32.00908584346246,36.16959662666831,37.34451393801244,39.08002012432967,35.7684159907832,35.37186855187111,33.71971543933969,32.47802528469988,29.554752730746166,27.135585297481974,26.801133010681728,25.385304182617073,21.229813549763367,22.8221668756508,20.341708966040457,23.09093478773555,24.546569179774163,26.89578802769073,23.759036457682427,21.364380853810683,25.532214119523633,25.396883746321915,19.783588128693356,22.868749244575255,28.387479855359086,24.995214424399137,23.686675739150147,27.353797698286826,28.732655084336294,25.381271976267687,26.250197766694164,22.951498166953932,28.014665970641722,21.607009995392538,23.200170976620218,27.347610471925528,28.96518072245683,33.16908810636211,33.01389499792121,34.55346737408883,32.88589052911438,35.26059557849433,34.05845406226677,35.3765522928231,32.99563882414958,28.233786473270214,30.45589648583407,30.632681715985377,26.2343108287767,25.21235065710684,27.563174996533377,24.673721980826688,20.87640878121891,21.601392383129244,21.276228331986946,26.618186932705793,29.278851189736347,30.651682167592273,34.16593640773659,37.93012319491904,36.68539945842156,31.914665602770967,34.72997384716449,37.47805647827512,33.36659388812365,31.457032079129224,35.632955422190896,35.72509255943358,31.80890371323227,34.66619423854205,37.2430754984463,35.18775426227208,33.02968366376535,35.612863602841884,32.48098430643996,33.992862118003,32.45668160098041,33.48298307352789,32.32896434067528,27.5667671377531,28.534053453646614,28.34053061793032,25.73357560175397,22.97653557243637,26.394374047409755,24.37106189624691,19.809229897487924,20.31333935188165,23.280103597761595,21.01418785628984,17.451359479379228,15.129089089601111,15.926243142442306,13.612748265573302,18.106454895287904,15.62536621752161,17.654665792650878,18.983784475115332,15.035862171746826,13.251498071711659,10.852221261067958,10.956933277516876,15.481005040486181,15.996701863372692,19.14508241047256,18.97004781052647,22.339162470123725,26.454311025813276,28.562565424481544,31.825797800305494,28.920115712962897,29.158859409522695,33.27013603040274,34.078101841416384,31.385801170414098,33.99452354168404,37.66395589271686,39.17026304940888,39.2711711389418,38.72757334159012],[19.712956181682987,16.671711834620087,14.1918436557536,11.17180760256388,12.568177221587892,17.330434219403312,18.67711777262241,23.12007005100119,24.0564733238689,24.461595586659023,28.069544262808147,30.68635268595511,28.411878004441252,27.47718428993882,32.51256961312312,32.93064743665113,29.898154159308675,33.867794492199714,34.906206585862236,36.1307864465062,38.650523268831535,41.08014459047237,41.73806368185467,39.73578455399131,37.03491118246252,34.30030395790094,32.321524761784914,30.01031345599029,32.491803461692854,33.0785040250611,38.066979739122026,37.12285953275848,41.386551295191644,44.39289596358997,41.038712182506146,38.390422859708515,37.00504162051409,35.7718070704181,33.8023726369482,38.1133022100713,34.216771099097535,37.16722761398292,41.00874859624949,39.13681415505478,39.600955256684614,36.83734936841555,40.47609610080864,41.47262127980568,36.331036147271334,38.99244121213666,42.50155299809899,41.32783641608459,45.88319940472021,41.2889681044062,47.02557989324867,49.35074009358868,45.74224438194218,46.12474036900199,50.821134436234935,50.22653325401394,46.755734091611025,49.51051596354452,48.56124308582953,49.88706434307183,46.681502369109964,43.50977451134388,41.613378173807135,39.93686744036858,37.78734935702886,37.03987832417888,36.08509386948203,38.968839160908615,40.83494710915358,43.0272903923036,42.33768030536253,48.15025920855949,45.88026646465387,49.14340602853523,46.94731787017406,46.66607995290242,44.813772922791145,42.733946019203685,40.878159818626756,39.83146517290219,36.42518334872744,37.03347687256791,39.493441508394454,41.5469834787721,41.580980812625484,46.00969918312244,44.337823111500605,47.91923436481234,45.21321483407198,43.67059885008957,39.10061833315541,40.565716279873584,36.37979888069931,37.98804503824651,35.36064653305184,36.986944339557624,36.834082557983834,34.93348239040765,35.37976090034439,32.47308005143658,32.82752552189399,28.37784541327583,29.67266076390024,26.943256323911708,23.365328143371666,25.295187431197803,21.521692607459705,21.915472700267546,21.137561616699465,20.185652184873167,22.947277925554495,21.5301830470693,25.510682238493292,24.3725644386698,30.328642995677225,30.171440005507733,27.6055107001711,25.444085948935086,21.19703987490139,19.33828870279862,18.086223031236646,16.278230326533404,16.704963445287813,17.77474504941724,19.272292855831726,23.757924022755066,20.299739240963465,24.65300129247332,24.782852719059374,27.756844857763003,22.78493055340798,20.489769961356757,15.91513925351772,16.07429224968218,15.993247660458817,19.93471255468069,21.15471092693181,25.635359713998696,27.229577759459648,25.11521300413575,28.38591237257071,28.759517423642087,25.55516567444901,26.146773697002452,25.491500114900905,24.872029552136297,26.03104990244101,28.07656723562517,31.99609040942625,33.15634872005464,34.531997609317315,33.75310904500663,31.29030938863483,30.263066603530106,30.603868734508143,27.856832473278793,25.707550320123797,29.566683215228718,25.836058436420373,30.295954421226472,27.95419794405141,24.114258003658424,24.697797052473067,24.518261362093128,21.12389169309809,19.090034857064644,20.453026617674006,20.929599720026637,25.854527587400792,28.481800140685905,31.058563116335982,32.97357862888595,33.317882443528035,37.740892860366586,35.85060831396135,35.95364765935124,32.4029213266807,29.43494444715763,31.447045021868064,32.53946376190637,30.12317828111725,34.072793915809505,34.71347271458698,37.19006332899945,34.09998456951863,34.13031633153217,33.0534976806482,31.31487764097351,28.932763551644392,26.47684751224241,26.35525135107386,25.47077145558423,20.866323046989464,22.466517467942403,19.85006309596019,21.51546148260678,23.698783317108955,25.12396858575725,21.465116133924358,20.01166603759371,24.268625163550244,23.092262501074796,17.568657768394644,21.533490947735736,26.560285071297415,22.33437878079856,21.60550365756198,25.54844261221833,26.03826323081512,22.594753425479862,24.407378811043554,21.503611582090805,27.043194354106422,21.90187707966839,23.026377151685722,27.2509103296961,29.737457679229223,34.11234650896478,34.238080084172644,35.208257441087646,33.53130231637314,35.877690309895804,34.1223745486914,36.13650267801446,34.20241388881516,28.780453791583206,30.98991938309527,32.1679421862921,27.785276482295387,26.156124862196723,28.796036280438603,26.933477148537815,22.845992169950875,22.569333256194103,21.552807962112208,26.10785225261129,29.134813813204183,30.121974702764287,33.20949558684695,36.859474222511984,35.01812176623983,30.436173143200712,33.37840238097469,35.53373094070245,31.016957010509415,29.542145349500693,33.52974197127476,33.1522614053569,29.388901233718986,32.8748151557913,35.05091503976889,32.54194400302974,31.10373123891804,34.14198430021569,31.33650093847975,33.12105963998048,31.467606137981974,33.23498235552974,32.15683653509361,26.865840206418042,28.41820007784833,28.90234856630715,26.038489432766372,23.246837262513473,27.697256839911947,26.03064411007948,20.870201391417634,21.79232106463567,25.65527009227842,23.62714379202651,19.647238481677157,16.309602915422875,18.625629440817153,15.513343201163998,19.133842460062137,15.190330207280224,16.537463400414943,16.409193780169748,12.881016212941201,11.497579543489847,10.85526355057726,10.634928964885681,15.014590296765343,13.711417463592937,17.13955132382467,15.653291236521657,19.01345928096761,23.03307350431367,25.58795015702281,28.326872418552664,24.928699736659475,25.788381041087845,29.909529698653962,29.947721650290518,27.532112673646296,30.66655432812289,34.03200747474138,35.386951273902405,35.44726563937674,34.81354488963218],[19.27259885986738,16.80906798376314,15.63048223124362,11.99208438026368,15.165151504247792,18.5956469540946,20.227907875305675,24.78717289940117,24.970919395550602,25.46701652168347,28.829706190029164,31.732286945783624,29.89032596928249,28.311405296255828,33.49823711538698,34.35844227304013,31.42789629054779,35.36101824206654,36.307993211339266,38.03468334957846,40.424031039575006,43.214627853697344,43.6305632292511,41.61469220162008,39.15895615420848,36.12134551307329,34.483503241106646,32.00188048584343,34.44611070726426,35.11317384010821,39.50931250319966,38.995735783915805,43.0910941693073,46.176031887200075,43.090415502622676,40.418628209322954,39.392676856127764,38.25158544868594,36.509678541850604,41.232006158004225,37.07799205293874,39.630486008684635,43.66150481108498,41.88497189129896,42.1737293584005,39.52142987472711,43.21748851914606,44.355750072156425,39.4155342543084,42.282761017370035,45.8847852091054,44.62723114969506,49.123342691321156,44.46217063158565,50.2639427471947,52.39525446791532,48.599630151146506,48.92634232983825,53.622457842005964,52.9481773925798,49.202616130324,51.72996071142746,50.627338084300206,51.72929792128867,48.71677096141353,45.591690046409695,43.148190761755956,41.45182568768414,38.83035219638747,37.90284623224774,36.6811942001611,39.22546672217853,41.48508595620918,43.976404139606025,43.58836355001012,49.506498371514354,47.6784183081789,51.00777581233621,49.120294413095955,49.12729243609218,47.48641758342999,45.731811048550135,43.94666277133562,43.18882618467468,39.72175563062712,39.97606847476336,42.1422674120392,44.12726621928569,43.76387219049377,48.03850170292923,46.01418576008562,49.28886192419561,46.4538978102153,44.94767183902015,40.29975664560104,41.398282430173104,37.11856086644045,39.32505592627136,36.7849515913467,38.55832523332871,38.86640078545456,37.33866118836787,38.03755995740897,35.44801492814862,36.34932939964582,31.83363068434427,33.373524166535226,30.89522316184946,27.142437239433,28.69380302159991,24.65257360491765,25.008565061041008,23.520827743175168,22.69649652329134,24.75492642705187,23.34677181713134,27.19565172063284,25.9609812746303,31.6099292251174,31.43794996733459,28.518668729107805,26.380589107309397,22.160682348583602,20.62548150071847,19.515177097844784,18.799706797250444,19.356754315928246,21.0929507829143,22.98112793637607,27.61848824946995,24.511479084379364,28.936589520466576,29.101813129395477,31.8710753865711,26.88778280589999,24.256568120539193,20.053103322995153,19.559416242134542,18.786723965609312,22.689003316971608,23.25486307377317,27.90140308275107,29.428648477408384,27.5582718675817,31.036225620470073,31.20508562293842,27.991606507345065,28.54982277316647,28.14849624735885,27.042048427477408,28.437363757717048,29.81879493389629,34.026585506112426,34.66629346926256,35.91341772189444,35.61330344925785,33.189122284165,32.66764354211244,32.97908594863917,30.84928186158694,28.88417151627648,32.44950685588191,28.8431981728239,33.478767919900285,31.461112636385092,27.494770334262707,28.5501737005191,28.26317284774736,25.118098920280914,22.842167672053023,24.393021405767875,24.513998457920806,29.494230781782097,32.03958549242741,34.403289736152914,36.26536609798177,36.16491293047797,40.859543065271666,39.15217904527041,39.47632064503375,36.08846119315001,33.14978798196281,35.48670942126869,36.67349401337823,34.11496939062712,37.8143766984281,38.108963142691515,40.77596346750277,37.460045105098544,37.871121735009254,36.944550697699235,35.29099590749625,33.11691310905907,30.776219871025937,30.765270895134755,29.949089408390787,25.33132035780532,26.86330365432662,24.078439097988177,25.53025121941552,27.53286545034568,28.700163776648697,24.984440902263486,23.449052946916645,27.47990876911529,25.949024386191585,20.209769061106424,24.127573949230243,29.017873841207,24.244084136322666,23.261187170993626,27.158255148985432,27.434597135451504,23.454031363627443,25.194106971603667,22.558515556450747,28.281314953661827,23.357008338771017,25.069582977557463,29.231870736858895,32.119454939933085,36.1304432002613,36.72464525292589,38.07751290206001,36.7511953739828,39.342398214047726,37.81297776529516,39.96050412773937,37.79403614510721,32.46168637562512,34.94890018351275,36.082488254711215,31.570452432251862,30.18582882830338,32.99867711236717,30.870614178143537,26.73406915180013,26.908986458588263,25.623610300232233,30.31454328141594,33.271769394789686,33.945857960183375,37.07344197700024,40.50524066992696,38.69915598920671,34.14341415770903,36.739113672276105,38.80376334239341,34.231745459445,32.59167886843979,36.28815201125475,35.680698494491885,31.83533151588509,35.31835463631918,37.22052371672044,34.30044808179932,32.98667440486567,36.1596097958707,33.55591503041949,35.75627918324149,34.481244772445116,36.38104065768748,34.835442285127925,29.61405101900569,31.668610831214853,31.85696356997202,28.75410539636993,26.509260195419756,30.970301040827916,28.783236514296622,23.732336925314403,25.276203417146977,28.809242312702775,26.25409662793406,22.297108435103883,18.65492052580568,20.400606814545448,16.63546430352371,20.200190303575113,16.179487817434588,18.35076250351998,17.71581290491517,13.6244640877349,13.370546954724377,13.05000106111053,13.907420172915105,18.402762141112326,17.313483232821486,21.058173365645292,19.23673062288658,21.852336368756273,26.009435797999494,28.560443401593997,31.137769531872483,27.22205168786957,28.00905090157526,32.245721841141616,31.964382157237555,29.072146304417906,32.46714869319358,35.72471940824208,36.87650366096315,36.98884382528974,36.29965421188803],[17.010378998174225,14.433549071044958,12.797828158570683,8.356985884684242,11.218258665642809,13.97288993197249,15.263492128184973,19.859478530440974,19.873516510143837,20.349642770286543,23.726549038036723,26.59532325865359,24.840597267342744,23.331084851316156,28.50893461609332,29.3797556265153,26.657595228290404,30.760547965914668,32.11996012409041,33.83872447408811,36.49866829207979,39.44860952522993,40.08448138626344,38.39271463305904,35.70494435728408,32.450483411379736,30.592471653321315,27.773327291290894,29.8947771426494,30.32530528619637,34.629105706540024,34.0300065531229,38.06742477661324,41.25855238462695,38.274043170017116,35.756220729649606,34.70334277650739,33.93111192779368,32.46981061030094,37.46807153877812,33.53992520042936,35.8465456328861,39.98477783166534,38.57204083335,39.198943678499575,36.888530541398225,40.75855124603245,41.45054131501083,36.52426737232758,39.865820433882924,43.169177271958475,41.54463668115168,45.83752469956004,40.9431407814742,46.59277294868102,48.85645436638587,45.038561900006634,44.980619624293176,49.72867273795295,49.376894566324154,45.416937151729876,47.66161959680662,46.32376340006115,47.673343654706635,44.819284184463754,41.46776572132129,39.03238015911902,37.03969800485058,34.54315658104614,33.33851957406587,32.31510333236687,34.97806540331579,36.99635932950774,39.653576886780066,38.99499274347258,44.93906416563564,43.19972037578972,46.37152370429277,44.594984461806035,44.82467944857785,43.08098449296432,41.60747250170951,39.63577287759319,39.20531084892939,35.85929188435842,35.7309557058439,37.8864142957603,39.578404065227716,39.26098683045327,43.29548781839325,41.26603785166366,44.516548657362655,41.582452033188275,39.95930542904042,35.28730611598729,36.36552464308459,32.08138840887197,34.218645177766795,31.66373087149784,33.499134569775684,33.86024931889685,32.51782456821841,33.304015703721284,30.96003850243411,32.34373334200089,27.834965254794003,29.80677989204775,27.731970088831254,23.920283494724785,24.878859321275772,20.64387388673068,20.704520035230452,18.742525066149316,18.084261845343118,19.94785561351622,18.89126259742144,22.84972134127063,22.12007155390655,27.749377950047638,27.06747757729253,24.202037799060246,21.78218772406465,17.839206905828988,15.949325552376537,14.524611635403701,14.312125149702995,14.906903551611979,17.09002030098326,19.4692478986974,24.19427831080115,21.91708216998785,26.51568895324597,26.760351979037093,28.872972095576955,24.08605872072929,20.90879673021876,17.551912130259993,16.326361893659023,15.326257889131943,19.121146805676972,20.271566546827938,25.087755668781877,25.96310169312406,23.83655676952994,27.253205509079525,26.918471756561352,23.67329420221641,23.89841399495513,23.50615818572393,22.128635186385683,23.70831081968481,24.892030116478672,29.291238357821477,29.99522253647498,30.95562037114674,30.653812688013446,28.17132885016876,27.863199310496434,28.126988156018424,26.384086632378047,24.717443572416585,28.17215002944888,25.07066453250263,29.74388954651511,28.428344612628628,24.88494768014389,26.325931398618216,26.735129315424956,23.720460525290633,20.86955483941867,22.035292234928278,21.457682813988903,26.19092810110547,28.385750762884395,30.402145429197784,32.061995488535295,31.62989447418246,36.46572672605706,35.05705923389403,35.52915713083478,32.55801450706195,29.452745537888248,32.39747445781663,33.94710150116971,31.27410032401521,34.81320978791912,34.7808485243984,37.97613804307763,35.040221318796405,35.62339402295268,35.129554642399974,33.052084034360455,31.288243364427203,28.93512986240167,29.038123520508886,28.628836632586353,23.868390867138118,25.355221844867483,22.67877425372863,23.25966066368867,25.848159766454835,26.297655233768793,22.313485902542432,21.72670243978863,25.729400043795977,23.497535163361096,18.274535847936175,22.750017690590262,27.054820844366823,21.94186895810289,21.67552793209536,25.67584658274124,25.197771819471058,21.52418205415498,24.141073917226883,21.868604492637505,27.680156912774923,23.898482441834616,24.872623364139184,28.971975026589625,32.26598692071372,36.50977575379939,37.070178021780166,37.75920392319718,36.27468637611913,38.67303527646999,36.62288283883646,39.213240069364225,37.542769939776036,31.780350410186564,34.06093432453848,35.945423645545354,31.605531958448935,29.698319463798484,32.56407361262746,31.33955982874197,27.137666003373567,26.40270594142794,24.793227119448925,28.62725191500826,31.81333575841125,32.303825457606315,34.9812447234804,38.346312443668474,36.04777646883862,31.753569004304648,34.55350614293577,36.09669834722265,31.289436649709042,30.16360955436111,33.730010131922626,32.811837169364075,29.24308292717618,33.21188451099818,34.83975456465748,31.752496031496957,31.082521553193146,34.524971759538424,32.17189374194364,34.351075095073675,32.82513521645854,35.23354259992871,34.01520538446937,28.47161731951549,30.698018264373605,31.559943401271347,28.46771254430059,26.01303795145366,31.097105609040835,29.490746325443094,24.129888128618113,25.596221677863973,29.804139153264455,27.745450858774912,23.628050400789743,19.661622368634163,22.57875153375749,18.862486174827716,21.6484354776963,16.85203370443695,17.894125217693126,16.179393645499744,13.184463546195813,12.924732623941726,13.89575564830354,13.981750028448166,17.787545674289106,15.237849295437698,18.75082043450674,15.976245101812275,18.64130921325378,22.427985724302374,25.31652913981782,27.366512195850667,23.286815913792168,24.71574545690622,28.783999004669457,27.87345475182315,25.542298543743982,29.274251092063494,32.20614355765385,33.2755217448881,33.31396697578231,32.559593546405615],[22.219961815533082,19.41891591672863,16.8750112919733,12.758177214775872,13.223482472994162,16.95044719104013,16.988123266575613,21.514907448271995,21.55893272722343,20.865194323324356,24.31597740016242,27.500766553515785,24.61742275143706,23.04420339556577,28.081327057260438,28.686494146541488,25.22912712898527,28.84982788565863,29.410434108253135,31.020880093651865,33.26014654965996,35.95168931213655,36.32948978661294,34.29068812553747,31.828113487509544,28.865896672130344,27.299202789735137,25.048876322246077,27.83358281239789,28.974267526849527,33.49244559925436,33.30976090879578,37.54088242074768,40.19209367716856,36.933676029549346,33.940774435715156,33.193328478693175,31.47254343243016,29.597484112536577,34.40038131092722,29.962733397861026,32.4287388266753,36.46451532032746,34.64804506016728,34.884964603447514,32.32375699190978,36.08856043298751,37.175367754857234,32.35058558272465,35.446058217874665,39.04594057109214,37.705669686862194,42.156964498555126,37.52566208590114,43.44068049264222,45.334091646467016,41.44206524884302,41.91653393715392,46.56400817497957,45.72569481917814,41.97039204333097,44.59366983099419,43.65288080030051,44.602108988427354,41.49653464544633,38.49665939327994,36.14076608359233,34.68363153802557,32.18027177295297,31.668422665637006,30.44780344687426,33.211288500167555,35.32431692674405,37.40958065354211,37.12420534220693,42.95076590939851,40.89414056543104,44.40861869309012,42.406925433350715,42.245513927286005,40.87846412682624,39.07460781190143,37.75026640349984,36.94131003897929,33.22901266958268,33.49045002903086,35.35576837044583,37.7268686940487,37.05302082989786,41.65942626834365,39.633915500739434,43.02304722035993,40.45911290457958,39.265094388369064,34.771545550330956,36.2463018283195,32.130339777520206,34.282294294899124,32.104619436715744,34.59459218372759,33.9176289194723,32.98511931239068,32.81080938118079,30.879509211965626,31.496049877546287,27.47914297215889,29.700900332372445,27.284823645369453,24.088210039629384,25.314686912576164,21.44709754924184,20.440493112846475,19.008129627134082,17.08269827426399,18.810227560187418,16.766288000474763,20.414226528245884,18.839258624795377,24.588698071828013,24.768875796600728,22.020079000338356,20.21987222444509,15.6993068271998,14.529210864872397,14.355558116441909,13.160852075399387,15.766931984994196,16.631630153522455,19.047001499823182,23.187456548140755,20.782394298065316,25.39901045470705,24.73396014647533,27.20448154349806,21.821303774973103,18.774508953601995,15.328161409466674,13.462578037216938,11.911246038994147,15.70425658498365,15.913349536722267,20.589523089045496,22.12134630835903,20.401020653900268,23.96323637847177,24.45352995702665,21.338525720143494,22.523658674823917,22.706789300390472,22.3069119956242,24.536016673990208,26.40605704398824,30.920350278159255,32.38061552673324,32.766995794161915,31.80801901223253,28.790517648843647,28.349141153734248,27.799619660336752,25.85960862190864,23.03236359245198,26.082891398003802,22.07230650247058,26.79177172246851,24.86347654388289,20.783104850614958,22.51761815619313,22.389262201718736,19.776295500055262,16.838434267074692,18.622242410567907,18.20914460228026,23.29737347148002,25.981646670429466,28.35875301879421,30.64345112642183,30.347812493242063,35.214208285142405,33.08175444409874,33.753791008037304,30.084848015856554,27.852432546265238,30.181652898901202,31.280928995584468,28.357103142408864,31.48614974354408,31.379244092176748,34.16200776356194,30.695362083295013,31.563942030242288,31.040595808078,29.401945241831623,27.850400746098543,25.92684367574884,26.521921088444934,26.578542853184302,22.118908945654415,24.424256917639255,22.593952223357096,23.580598324187143,26.797467613371445,27.637364134832964,23.672423798087245,23.498748202974678,27.838901835765075,26.04624823037861,21.21223729503257,25.714820911081965,30.16390995063057,25.625039435673607,25.62411812536918,29.64944733707403,29.328781269148365,26.084626297927187,28.713994423068147,26.191297426136224,31.84604832860432,27.510438091001593,28.196639831041338,32.369201167245336,35.05631180258855,39.60262051223722,39.61797654987771,40.06009146864492,38.10573940014963,40.12469431379914,37.7714025848294,39.943575085519086,38.590515618215086,32.87112904631615,34.55289445594056,36.18654250777578,32.132949693692666,29.909620456586783,32.1181333940201,31.07796286697521,27.196675700951168,25.538275824288284,25.102108246320196,28.50459135704543,31.917612820067596,33.22158965192518,35.72553948239815,39.55167835965081,37.014755315041235,32.78846693226021,36.31600628150227,37.861037837328865,33.06262414366107,32.40333623330549,36.340259312298414,35.62915730051816,32.25866588818604,36.300164542500575,38.1916441120694,35.49236008719533,34.790750872530815,38.09462845092895,35.52516813133668,37.21223171523844,35.19228432119474,37.351390647877196,36.73777311226362,31.186858199972818,32.64878545798413,33.768181685617776,31.02153312858929,27.86462299964772,32.620631095512294,31.523625914176712,26.228512663833694,26.694560354221288,30.97416884491778,29.406960603839668,25.434881043026316,22.12960503221514,24.816379380728105,21.744754980291333,25.1247731977115,20.767659270940495,21.53138937246921,20.4194367179203,17.617476237890887,16.49593861341686,16.664768580136858,15.82379584442972,19.58263803172264,16.68411953166342,19.348470347315885,16.58994622514131,20.930319225875824,24.191516153256746,27.34445835315487,29.21104497819403,25.789901656449143,27.756079288287058,31.562561908628222,30.53756098297571,29.134657857339658,32.76532505942162,35.60913013246854,36.78866938170073,36.69580812206525,35.86940506937308],[24.270823651779605,22.072755227496017,20.55526648819639,15.877366178342822,17.548858027151834,19.751142895818486,19.61288358793453,24.09132080738677,22.998933240870432,21.877999967226422,24.845316438633592,28.559740776986118,25.8929847556651,23.29188577794644,28.355128000806115,29.534056849622417,26.01979588290848,29.257227033572477,29.3268447673279,31.688819002805324,33.50822012286521,36.650888211340416,36.54535702064463,34.428634003073086,32.489477807473044,29.188269571057926,28.34363496127248,26.09288667199554,28.9729717981391,30.506528909047237,34.047903781461166,34.75099026596867,38.72498693805999,41.20670780322641,38.31129633281922,35.13852508446632,35.118801328023885,33.213927249568414,31.619601007768708,36.90202815625923,31.999725699439633,33.779114822866234,37.9996143383262,36.266317176956754,36.109511955486724,33.75402229630549,37.512856146901754,38.879686328638776,34.5356546148123,37.86394149558584,41.60287492509198,40.205081376372874,44.512688246190365,39.93500602513833,45.935408862385025,47.35836843173068,43.19513419020842,43.7423500427728,48.282756063170446,47.171527993440655,43.0864487623243,45.42837093693875,44.3982597398873,44.82869647239613,41.99210183750933,39.23865113325689,36.0654393228828,34.80882845389381,31.581395521166378,31.082229446309743,29.36399272689512,31.587058317701516,34.33583281545168,36.62477497158463,36.98120715123626,42.84231808699907,41.390855663042025,45.10200935564905,43.530528817100894,43.684884605759436,42.829836705842,41.46384804359647,40.52813906645719,40.06311206774332,36.20210593010577,36.01870350865652,37.250779078915905,39.726636057446576,38.27704807135224,42.793015246265796,40.23526768323356,43.15128659727699,40.584529975843814,39.66583195282507,35.205162258981694,36.27316826095529,32.162561710560276,35.2281596488236,33.41897429965619,36.43319738029905,35.96572796203954,35.833805437310055,35.61635421234391,34.40620559545204,35.54568225352794,31.70929670815551,34.36747444517295,32.24116032784268,29.06603075417666,29.820879894677045,25.797259946114245,24.384589008698196,22.16474643181398,20.07841646104621,20.497132029639317,18.21416314131562,21.264723393225577,19.289784210267754,24.273319115378293,24.761034986879775,21.55421880610355,20.149200654544096,15.691332121278773,15.534881910347849,16.159748261618724,16.469349246023945,19.68816222620979,21.014010574860148,23.857936652844838,27.89953985743018,26.014235732689105,30.658567082337758,29.77790837111803,31.979338940774635,26.552619402065616,23.19064884635795,20.4072310927797,17.683339844280486,15.128391245638797,18.40413188263587,17.174093076931737,21.771564711891475,23.27393730152411,22.200172909728284,25.96867261154925,26.381186467507664,23.453097170414235,24.88754586672147,25.6923112914809,24.951671965640095,27.748459993989385,28.885079166252773,33.81221039905335,34.882596008768274,34.73012441811024,34.17265834472548,31.0103320265848,31.30375445768392,30.356891489439487,29.358792065457592,26.487168405285374,28.79933611235359,24.86128593547996,29.669991803000897,28.171580772410845,23.958001655937135,26.446909009676755,26.076995482262504,24.067551841510067,20.895092144919104,22.974871070461223,22.08370402984353,27.077979125259592,29.675092166441082,31.75516453107774,34.123141623528326,33.18032824956388,38.37961455891594,36.304005664022036,37.39386284719013,33.83136157645367,32.00706503763678,34.58788139656138,35.6798564435207,32.51785241382518,35.024653885273864,34.318179249823324,37.24172156304084,33.3712154412723,34.93629175410541,34.706891103426315,33.32789359487668,32.24203575707534,30.66120139252771,31.556635786830267,31.88166517957145,27.52821487199543,29.951841124569707,28.16638025164706,28.969933477813704,32.22319401335493,32.81620007792554,28.76666415621503,28.708907038974292,32.93578111476883,30.79303018249262,25.89102549554788,30.453372489560667,34.73774885025685,29.724723604630007,29.66244898845123,33.67149779200083,33.01757095307886,29.405153968522704,32.137880430964735,29.89011305384158,35.70367625617848,31.59931158856715,32.67365871027338,36.825619606363794,39.82201298031667,44.14726468255082,44.475915172456965,45.14120001527802,43.374748635396955,45.51788872324594,43.22028763952522,45.47817179184121,44.0435593861876,38.333740159136376,40.112482309040296,41.72676562661677,37.61441068158402,35.477063059070176,37.69218403087282,36.517324604324656,32.63247644960814,31.0993985392971,30.66615335252619,34.02934575180367,37.466392110797486,38.658794464704314,41.08927753845495,44.81296099548928,42.14732812241729,38.02089599999063,41.43078561597065,42.77761867348304,37.879795949866136,37.27569789296391,40.983090940793225,40.01470442037936,36.67786247696092,40.83705047709208,42.45007176646657,39.37601969802919,38.94573550329534,42.41298636573834,40.037957412452855,42.02164906577495,40.20491947272698,42.522626411260596,41.64922694023807,36.084721271083325,37.87726694666931,38.87018812884124,35.95901829735393,33.09061894060006,37.88934913986232,36.47800456903029,31.20408760386577,31.998573894644526,36.099513913422875,34.19800565865669,30.21246464996765,26.714943003460313,28.990819032403067,25.501530823113484,28.922080938192316,24.492934996160866,25.779680725307752,24.199794008515543,21.10805173905231,20.716275807809215,21.052745142121246,20.818439778496575,24.770999315581754,21.913445730275853,24.71100008517452,21.595168329029544,25.498299967498365,28.678173984908668,31.939764716323396,33.44888104747447,29.630063979221116,31.80570398369102,35.60532887296858,34.011148486911694,32.51148891626598,36.483454981878985,39.063026260406915,39.999341210145765,39.891196915796286,38.95940745807948],[28.07575879042113,25.798617411756762,24.05676537713627,19.49423689823408,20.622489026000903,23.212304027773623,22.715794954796042,27.09662409793294,25.986817375278335,24.347733895377093,27.211541975559783,31.07035292308665,27.912449642188715,25.197774194659075,30.05046974941886,31.144603999959408,27.25566494184764,30.014747861219984,29.379442679396035,31.784180047043158,33.132932999679085,36.1140936558481,35.66718369323014,33.23610849764626,31.678094341753482,28.6202808452544,28.21717379368811,26.476965260712717,29.77410050371064,31.80141326427454,35.25303110178371,36.34114420142029,40.33919470191133,42.43630751017122,39.460338319475106,35.99452078162863,36.282550534942175,33.7444581093779,31.922284688973154,37.0142326083364,31.733914169853605,33.49292259105633,37.58937112589401,35.54623211181559,34.94718897510831,32.41435075486639,35.994963085975215,37.7994590369976,33.701372049701945,36.74176775952588,40.7356466930432,39.616337899065336,43.99315645571233,39.706471067881125,45.85269458910325,46.90432003577306,42.6862062793106,43.67329768640117,48.06839076715933,46.522172990636115,42.59461298837589,45.16535570039037,44.43611035014959,44.4370807086477,41.48609966237014,39.10500674086979,35.85054213510394,35.07574439178282,31.72171424918981,31.741799787745034,29.787084675610373,31.87824848150091,34.8307440367402,36.71927783822103,37.504461226975344,43.21352738453458,41.6830851538777,45.63691819070322,44.00206792552427,43.92445738262785,43.42634595459927,41.89632325439277,41.45967712780287,40.768427574457334,36.6990858105194,36.753356996843294,37.68200029748429,40.60921942969395,38.818269190211666,43.65502655639409,41.034798468231564,43.916075956557535,41.62280563198412,41.03926204536384,36.75228161572946,37.963905007625804,34.013110530552304,37.18915596586827,35.654604167320294,39.01318364483757,38.046454734681504,38.18338084542602,37.463061631138686,36.51534205290604,37.22546009014831,33.70174441244818,36.409620612786036,34.098534358544256,31.258566539342254,32.19142777489029,28.39039741998893,26.572189177996805,24.65066329062524,22.025014438512482,22.234531064238197,19.425252949599013,21.997508469776328,19.359897335240667,24.026845557096333,25.270695497947166,22.148487603086398,21.33730304338179,16.753575991917113,17.279151681943826,18.607159668096852,18.53034522198934,22.44246146499788,23.18654152928866,25.91988226213058,29.584685259383292,27.57334202445121,32.10414720327242,30.73312046528093,33.17931220101416,27.514048100184795,24.39878542444746,21.59958644507922,18.734643232692594,15.949451754264793,18.890346984215448,16.59347270873534,20.772038478952066,22.85446059851726,22.315613739128093,26.095415032014817,27.10071788347733,24.38726870141647,26.40969003087899,27.5648008393639,27.3168154061502,30.373484599988146,31.770421796962314,36.709727297821445,38.06184847255976,37.65725749662767,36.8400602140999,33.4546181937071,33.71963904945939,32.35601000589062,31.315076310280165,27.858918733645574,29.80413269194477,25.35870768362964,30.06199198352629,28.14907866644079,23.608747031287546,26.259575567878155,25.332900875494882,23.760953897880256,20.770758252573103,23.272392028249612,22.585448146696653,27.638949387465246,30.505716354801066,32.768631965428916,35.488601568207116,34.609451810353065,39.76916224789776,37.26854091877922,38.4871997151287,34.51793991302576,33.301290148465036,35.414761041939755,36.154728440108656,32.89255039931459,35.032131389522476,34.25350821644032,36.76914775356735,32.43502695250931,34.26927361269791,33.98066995938711,33.05936688097343,32.121492532392175,30.895871841142384,32.07463740832515,32.600418421136105,28.5494644183194,31.345482777599067,29.967156329291132,31.08744573097349,34.479259483045425,35.35218120977331,31.372733558309168,31.31931052047595,35.67084955863564,33.808863743523915,28.950935449402486,33.44324808704258,37.887625274477685,33.11152767546194,33.0238214020454,37.04521317269774,36.562249120606246,33.016897633282106,35.630211383230616,33.228268263443624,38.99665524910489,34.478450959562906,35.58846921075645,39.78369129173327,42.46485330257169,46.855413807766226,46.968184864590846,47.669092394760206,45.736339163833264,47.74415053524318,45.41905863109428,47.383391145872984,46.00120395439256,40.428429877030844,41.96208969535538,43.28540358281819,39.30552498740119,37.14870420678275,39.00330638824945,37.73227529535939,34.070718845331776,32.30734777569495,32.50157130751,35.79011292695076,39.26080753292114,40.855926176637574,43.2753460025109,47.209152610625644,44.52163901817638,40.40008957792756,44.0840452128628,45.51242842508919,40.66037270236391,40.16906923900622,44.04440433307462,43.20297493726077,39.89637732973329,44.01412259282787,45.77370702549225,42.8592146075572,42.31606842223189,45.69694841772752,43.19202758930525,44.99146572100079,43.020289048455815,45.140782854898355,44.45566023575685,38.947430300775935,40.40015349752647,41.36717060298505,38.59895437106512,35.49715141937862,40.012703268778225,38.69942866124022,33.54285438833475,33.93435731469113,37.8835322426059,36.10076001632344,32.24798267330717,29.105870479509477,31.024808424225462,27.813386626271086,31.578185179960737,27.452110140352023,28.835538019529597,27.60682547495763,24.383703199307078,23.73036542085184,23.620500771433246,23.202531291592024,27.21836155724966,24.500292702323904,26.999385945787346,24.07691705747816,28.53584779404193,31.573065992687376,34.880037832732945,36.37931032991491,32.84061538074164,35.12615170836764,38.85490413628027,37.29176782269825,36.05098905334079,39.96079912343636,42.547327420199515,43.521481060719026,43.35692140205313,42.39134907831163],[27.82911379502093,25.837088113209898,24.246092303150515,19.484691546854542,20.333153162161068,21.598427087898447,20.440820644055055,24.478385002927233,22.621187678630147,20.460455180944717,22.92647274205525,27.020838595927405,23.935150598317158,20.697238899397043,25.42524569317986,26.815765282566755,23.046442241282268,25.65942079327532,25.12293149588485,27.956054081190754,29.36337759282072,32.778827662627165,32.331826037733116,30.25417957809723,28.694455167626543,25.182981182993874,24.947612079885605,22.868524645197308,25.901873544078647,27.97338553519112,30.746776569340128,32.29623841697896,36.06827961347091,38.112537798291115,35.4347866197508,32.01262989682224,32.71013273102362,30.407621157856603,29.039249874868265,34.64121901907644,29.402364338481767,30.498161198987248,34.798545366158905,33.225758992852974,32.832995341703494,30.836810927035277,34.60674679690497,35.99334557120307,32.17040888504883,35.848302999727025,39.52371207442259,37.97411905689194,42.023619036778875,37.530649731453146,43.51984040031001,44.48172031578742,40.118711131298106,40.712171378199045,45.10245152652803,43.7839847184424,39.45314129983216,41.5612464975742,40.531277120939585,40.534588385299294,37.89680667417339,35.39111327341393,31.69620323086114,30.71960761205828,27.081004032078667,26.858892147660157,24.80527904251958,26.750421541248873,29.814133183633025,31.968160491976455,32.83344688887804,38.59273104390372,37.46617706179797,41.36763917218135,40.07243456626913,40.38908253219998,40.06400430973675,39.05606076236872,38.65746957084044,38.47037199347147,34.48241465980491,33.918306856566495,34.46680013893254,37.15468794958211,34.9784557394871,39.529147721682236,36.62278299671591,39.22851905287046,36.860757362561685,36.34973861115867,32.10703301967357,33.11512065097062,29.22917881937614,32.81751834602667,31.563717309819143,35.30608974587266,34.376554940089505,35.17813349134425,34.419681760045066,34.15956272032221,35.50727042889972,32.20921052989433,35.466846860849735,33.686016645058224,30.92718406119013,31.12597063498081,27.28657184721323,24.932696356867936,22.342081725087457,19.660113735125133,18.77826912410976,16.079830809000104,18.219237822171998,15.839102986450603,19.969461413915607,20.88006708113093,17.537060479041084,16.80957573211448,12.569364813511154,13.68381562288375,15.586857304714366,16.7124626541478,21.151170209317726,22.20553789792794,25.425465845668086,28.921692548400873,27.9339254313413,32.497942605205054,31.130910215068397,32.804048754182155,27.427454863773953,23.758784153091806,22.160186579724822,18.319482420572122,14.857583595690034,17.19074201371061,14.723507483210273,18.97806193624168,20.18787108795397,19.76793820006237,23.544327663997997,23.98907665767651,21.430789249242633,23.342777812663098,24.935478886443622,24.41689545320581,27.95608912061735,28.8330688995004,34.00737062555871,35.29089752304476,34.26039062654094,33.575714383833535,30.06498723532754,30.910918641624438,29.19671027538037,29.057930200585744,25.832362468147625,27.154057948690983,23.308767683461966,28.00962564976441,27.09976654758897,23.050744326709697,26.411524096975413,26.163687072737744,24.97805526150375,21.407874075732884,23.55254984190365,21.956195257999056,26.571807943925467,28.99397400252299,30.72392856240531,33.27907881963246,31.748461039652607,37.14699948228184,34.965322508915314,36.54078212304701,33.07871307620804,31.967018779895113,34.72203278592362,35.79880838580586,32.36833666662739,34.01454845934145,32.599482298503425,35.73636807145582,31.698406673735633,34.00940986477323,34.321006318664075,33.06175379517573,32.742890735352226,31.647852729948934,33.01542502519834,33.98797479083692,29.91345673903732,32.642951636841694,31.38257475443375,31.723795481787093,35.51577925096281,35.71618734191418,31.613044595238435,32.33414542135455,36.516539419351304,34.05835331652366,29.737062003448408,34.49311443520311,38.34299104113391,33.29741061355488,33.7043468767553,37.68482303059592,36.54181950271851,33.21302328392063,36.397419396488395,34.392164774482254,40.17377790289532,36.58515975730148,37.32187828748076,41.41346106207122,44.496703697611274,48.94460402468493,49.16929280399731,49.4442143857387,47.48638286518768,49.38314433525118,46.68754104271983,49.042357617785456,48.030072747215755,42.16301067947581,43.573349533032825,45.50152174536796,41.64651438183825,39.14692178373024,41.070470678073576,40.474828849019445,36.751867104506566,34.4135013997693,34.2912282585711,36.84058190783196,40.44856962873392,41.812827363910316,43.79479849069103,47.578413974646246,44.45530233994609,40.67178122589706,44.42437608885795,45.314116989124585,40.32420610187403,40.30410416042756,43.912204777486465,42.736992190587415,39.75229442928244,44.21412403559808,45.617488639723604,42.49326084766668,42.57119521349782,46.16153908600661,43.96182356538559,45.829508350387165,43.768312599951805,46.32230208929583,45.79310364425423,40.110904502927156,41.80221966269459,43.21751608524509,40.4135125077074,37.32005514028634,42.283156994586406,41.27165781209705,35.92288287179933,36.42915602634101,40.79717673403275,39.22194335405515,35.231104358248,31.764692752460128,34.350693235764474,30.947127950410543,34.20479930842095,29.581419991570343,30.438017189722,28.43260987412485,25.88253945830684,25.476874867901728,26.13970619280979,25.525952612244023,29.09190623192766,25.510166448150912,27.746313211570495,24.09934375351085,28.342008644818296,30.853863047270544,34.37708506027024,35.21638763232626,31.56222016241917,34.41960410449587,37.860490113371455,35.555001089907755,34.89034773441039,39.0597193815294,41.18613424186595,41.96782469146981,41.72047955673476,40.67453496575925],[24.5093076384781,22.14083348161912,20.0110301603581,15.435608546333325,15.802074604475987,17.883021590958027,16.963209035804994,21.2563833128398,20.199461706041692,18.562923598129238,21.594997255041825,25.316081059270395,22.20025924543103,19.761857399458723,24.73695880191024,25.721638030427933,22.0523732464883,25.27928834651766,25.430905457249132,27.64428894682694,29.599674142581748,32.72053566751261,32.781435597614944,30.814223199746397,28.666699555884193,25.319003157759273,24.296096941495016,21.98036811361677,24.87281877397368,26.470773766836587,30.165669825016124,30.843378937973224,34.88199736296118,37.25391381127744,34.27107733703308,31.054085653125732,31.037054856688144,29.07140205134393,27.506389160804975,32.87460525916345,28.03217642563264,29.756777205189305,34.00782804844281,32.41284129785629,32.455104280916736,30.26982520509844,34.13474847902018,35.22271109943598,30.86599082632042,34.45296123090709,38.0165417063947,36.43775321981306,40.6497078532074,35.980931303677316,41.932342580645624,43.40272699332383,39.23846755434605,39.6600549091892,44.227472710323255,43.24293586650398,39.108837531779734,41.414420350816656,40.35814942202259,40.930204247875466,38.07151216821026,35.21493335533404,32.20272793319121,30.873094122918477,27.851412838585347,27.409619135173912,25.851194429948332,28.339302807176573,30.817524918888417,32.97986228777894,33.15075378965277,38.99824572328725,37.385442801829505,41.07791888710204,39.43215772402024,39.5640186192306,38.68928119902082,37.35605931371423,36.46516510720461,36.06711928291743,32.20274276350204,31.921506268988853,33.112430591102715,35.60070491561661,34.163084846575686,38.733692511943616,36.257739975644135,39.298388495966414,36.79718580056375,35.91158679783356,31.500566946860687,32.78983721226738,28.752801346306633,31.612602215725666,29.904933103158964,33.135222970552555,32.25676991628805,32.32062512987931,31.79428166028009,30.856311425235255,31.984091494563664,28.38147225301655,31.34007607971129,29.388303086416617,26.467030613979297,26.934647586990433,23.055787478702214,21.07663794395146,18.839990281666555,16.36203919098459,16.574758120065493,14.117944304295861,17.163257026504684,15.269021789167603,20.4536849010327,20.8314949506033,17.751636748885595,16.334004683044878,11.751428623257127,11.631852111347795,12.687375232039585,12.937099382010135,16.970078738813715,17.97303278094325,21.04170388013924,24.79413147128008,23.47622935082583,28.101110495867164,27.02118373184628,28.843809684982595,23.487769421723513,19.87527142535919,17.820611383843037,14.401149595892209,11.43889498159024,14.502204202904254,13.447998514951317,18.176920026770873,19.342233302721827,18.151428577455846,21.91347611137832,22.245365459050852,19.34008876053154,20.900488521718888,21.916421414017037,21.437491314211098,24.542255909851004,25.875789077153897,30.843150176036286,32.30477258358471,31.795817177246462,30.919642297645957,27.551181537700153,27.85751748089239,26.5925235468389,25.73097693030587,22.666623079573416,24.751035969043127,20.883515245393756,25.69880108220832,24.522976336308975,20.533848625857193,23.349921622491728,23.39110559416715,21.61965320566657,18.07898846168253,19.976488295444213,18.61667013993804,23.440350218177535,25.91184898058205,27.858675490633395,30.27852419537771,29.212412059273863,34.45390720225328,32.3400772166035,33.55889208514861,30.083107446316156,28.43740473885289,31.18694832848063,32.38130319237947,29.117192184965685,31.392939219116297,30.47376420615682,33.641457509292216,29.971107452462032,31.672424311654563,31.739305881797186,30.160705309845643,29.421124107752693,27.96142240390624,29.043273451080402,29.7590241824254,25.50717343118202,28.057478213766707,26.634577548212484,27.00882390870252,30.7250514845666,31.012454414695803,26.923468936485794,27.549647431691422,31.769223625866996,29.44674351140275,25.112984546667697,29.855476309984997,33.789918870393294,28.942072801623095,29.367170663286338,33.36803471162962,32.40877938336352,29.23982611884064,32.38075613031611,30.233388500829193,35.94255184011286,32.29523500075876,32.82174694615643,36.91522628598393,39.8915357170751,44.43906787953776,44.542609178191526,44.70745002973395,42.7012558631845,44.58062830623728,41.89375847532671,44.26928991378507,43.25468935186287,37.36363593483681,38.81071090395715,40.80318437961796,36.93142598163942,34.41516234040394,36.44913076516964,35.91872876048054,32.13395587854734,29.83043541044356,29.522155719725454,32.159649523968135,35.739464910871106,37.05066034675205,39.117976858447044,42.90611011106674,39.902720755589364,36.01675972972819,39.74445389206112,40.77438654102253,35.819964841318324,35.689547167827115,39.410293416245764,38.371909769152744,35.31744419496286,39.70796805280841,41.26453058611568,38.320250720482726,38.21894636190823,41.73058136329081,39.430217781796756,41.181311483761355,39.0581019868601,41.553289560197626,41.10021608934297,35.420312912291344,37.01657865231401,38.48089345539722,35.731215085772256,32.553168654512376,37.54836530932844,36.66411567110756,31.29328725132601,31.735957655105324,36.213759640695045,34.77969137939314,30.778212886934657,27.33593187926767,30.211946217607643,26.970163338748662,30.12219730301922,25.471911105446694,26.032275104867857,24.19948699757077,21.820044298683147,21.099297628229408,21.792795568582324,20.924438726982252,24.355314978976065,20.721884375480315,22.972522661727062,19.440232097621347,23.806700055939796,26.465663289991774,29.930046268073895,31.05277656193924,27.503245327815662,30.18577217675234,33.71169783860415,31.78926375915792,31.025467193536123,35.03561567367318,37.381609598004644,38.33683452867464,38.13398082568629,37.17199796658666],[28.29799092724639,25.58719110758114,22.84234510218246,18.69392132336238,18.056548182434057,21.39528610570866,20.239184018445435,24.39310055959306,23.915013996919743,21.892828448360873,25.009364383171043,28.61279202179312,24.756911243755358,22.74146647462963,27.384617774650533,27.928447150056158,23.764565278464033,26.506617567698402,25.899542816054893,27.70746165688668,29.220740912402242,31.818291921996146,31.671800997868477,29.248305902639242,27.3171304573386,24.548477397304165,23.734013790887595,22.21685023101858,25.714088978468883,27.81700309428365,31.95404921820307,32.66309991683258,36.874961538051124,38.800951562158765,35.49031325072551,31.95061239110055,31.94548546958026,29.126340287973978,27.01082422474804,31.80007774861344,26.61245359298381,28.787679958248418,32.76094496005709,30.601057831188964,30.20955513082777,27.55919922310591,31.206469889867286,32.81466796150619,28.457825141280157,31.473345214083203,35.39815570641222,34.281760673369654,38.7395226841254,34.45511167203374,40.619094322878624,41.830484716951915,37.73397484782758,38.791455623640516,43.224519501764966,41.747384671538214,38.04692386644176,40.89272384075725,40.337452220150674,40.597278264749356,37.38455663379029,34.91914985839052,32.29038078914614,31.551095366918524,28.778928908698326,29.083473665063988,27.475398118139346,30.08415432585159,32.486693629296944,33.96126419531175,34.369541537697536,39.98262758244327,37.88714340946212,41.819922076876196,39.816279291095675,39.40529052263043,38.74297484714411,36.87897647554182,36.49945116832387,35.5364622801517,31.423349832115655,31.79971235953142,32.93304491985536,36.04894464252922,34.57897648220083,39.683250723032195,37.43455438852405,40.70454839838003,38.59004722722549,38.01435674028541,33.83273621455327,35.53350311333794,31.717009943297235,34.22265806011781,32.68585342283799,36.06060130833932,34.40725238422062,34.374950769258746,33.16986798458753,32.17461879440309,32.341719906622885,29.101683108871576,31.8379090537642,29.42892038499937,27.004980473679375,28.03574828022988,24.601665998602787,22.315649918328976,21.00908318116017,17.85815559032572,18.534965664381733,15.40781044038059,18.061203833262404,15.31189621797386,20.576575767053757,21.93689417819238,19.266913326274683,18.507112721833824,13.730311593676406,14.068646265723798,15.66881547884789,14.470443380017842,19.0791509848482,18.95202623692382,21.54323772935083,24.7494188689238,22.890467351667585,27.303187972461636,25.58043961023106,27.98456144264707,22.25074668250973,19.244988705433318,16.728674830779365,13.576825227251543,10.78037765468181,13.65549574910607,11.604022441836792,15.878003430196049,18.126447289451736,17.370070154972016,21.07701688178316,22.444558878260512,19.751276969429213,22.09545733369013,23.261534736746732,23.705626014165126,26.80711253144633,28.878536783058806,33.5943082197696,35.59037330729009,35.089082591338965,33.67800346284159,30.120336660099778,29.964596105448567,28.356334240491663,26.86659049476186,22.933873872550294,24.908490416656534,20.124845437698305,24.760518054816334,22.5827617085526,18.013235192324885,20.676972021360026,19.922980469514368,18.456071144040603,15.27561393954928,17.79433661306762,17.08946093576206,22.155180700380363,25.15601730176408,27.600923438486472,30.521599053667998,29.960041536014856,34.93144838537886,32.13155496205081,33.283758170823845,29.084290897651822,28.135181127751625,29.983594646728342,30.62247382739492,27.326870710532685,29.442186129186645,28.799672585814804,31.246451585881175,27.036619913066595,28.731031078880196,28.500225981177785,27.47451575664468,26.65588520355835,25.539127608986593,26.897082307555543,27.75496932991894,23.907488907334844,26.970425693208462,26.131698941844085,27.13112269957228,30.951524866086878,31.821187728622103,27.92520173630245,28.39693546910815,32.81861565047738,31.128261561511327,26.843553411233213,31.381226826394258,35.6523093224656,31.382132413654645,31.709504932689025,35.71497909756042,35.21875515372329,32.250317590244016,35.08956357574442,32.58617849859963,38.155509420768006,33.76414322457911,34.23435472410708,38.387745660365375,40.75802491296506,45.46494188875015,45.13553171835837,45.297748357521286,42.99531471010357,44.64015389878429,41.94087109549588,43.82156168234317,42.88332529735888,37.229876053310356,38.29694234073081,39.82858389450035,36.170410680449,33.6281672184695,35.13339094485663,34.47904450753384,31.02879883800848,28.383549119453154,29.0159936176663,31.619059783194558,35.20703025893712,37.15691038772221,39.28115360192855,43.408272750396094,40.500719514959734,36.55654695123166,40.68580174979259,41.979722329911255,37.18078623639321,37.11658951178429,41.1757546396262,40.471083359345734,37.41406705425829,41.622831183104154,43.53343297486285,40.999103154093085,40.54414028517173,43.82857721520714,41.24405704631811,42.60962341389476,40.21560546075488,42.30831902931775,42.20281609204601,36.65573279259637,37.61331683012324,39.03685207117296,36.56647762607754,32.969695825246276,37.48328611821296,36.841324332380886,31.66714978299355,31.4052953265189,35.694234822445964,34.55352552151468,30.765609659575603,27.927126499888594,30.41489313698809,27.72537416017369,31.35547791829345,27.19782467766109,27.77350904545083,26.701270979657227,24.141659054519803,22.814226321755935,22.748134313171136,21.452296308913986,24.91127837792465,21.626694293374047,23.39039466034931,20.447563169426196,25.731605194640483,28.272333253707718,31.680315691321955,33.03050763297482,30.080302640306975,32.69984835015037,36.150730120592186,34.64260244631009,34.1629862034671,37.88006260026635,40.40272996695399,41.53207144425777,41.27719724165276,40.3304859866506],[31.26099669678401,28.79725470369452,26.2964185204444,21.937592407756288,21.30640464529371,23.756673723105795,22.057265704441363,25.905340783811784,24.747209560553173,22.02687993823639,24.680106183815983,28.587466438516827,24.5089391235122,21.91265916751042,26.2400747763878,27.006363871659044,22.64159697186805,24.755334925438124,23.460150126324436,25.744218744987776,26.764058309938495,29.6052260532764,29.034662603346643,26.533558077929577,25.076874145214262,22.14688284477046,22.039420582828146,20.786759466186684,24.47795675749541,27.098970438809424,30.484499220444416,31.983914445802505,35.98743164926384,37.52247705257079,34.43205029157607,30.656693659973957,31.336015933859834,28.115859833404727,26.18773692979545,31.243496036859263,25.669530784586044,27.191645533019507,31.22646612421887,29.137252134243262,28.38915194008246,26.013090285647948,29.623151136471694,31.40108403508657,27.600041623883307,30.852830008185087,34.79408559860658,33.61019144630937,37.85487117209246,33.70500144679766,39.88300467041179,40.60897508534678,36.30815228727557,37.49492714614438,41.7687638076018,40.010516253358034,36.09896426813087,38.769514567816614,38.25853939967322,38.03012171096235,34.98237163380555,32.82306634336006,29.657766090158525,29.268957780420948,26.062997014906987,26.694667049165886,24.730335113699105,27.017655957952574,29.768418988085756,31.079792512262777,32.04777334040091,37.5472881851722,35.77656773899547,39.916681744424366,38.1788310557011,37.901483439701934,37.77190860861022,36.22517722331571,36.369947704719806,35.6416237578453,31.40946461841304,31.46072372655757,31.93277800720592,35.276612949206104,33.10033748334887,38.24934033398586,35.659180658189015,38.612067581933,36.68976101592413,36.49758420194567,32.521126409006754,34.117287842039005,30.504045295473304,33.51330079405256,32.448264703762725,36.39067380463442,34.45905339700254,35.209127444250576,33.61936472348804,33.41481803643566,33.802830648557276,30.98931997373052,34.169523522033955,32.05535157559485,29.90650925930834,30.489845042675086,27.156121111939886,24.258093459235944,22.57290420660589,19.07159903536325,18.597511032786432,15.138725230648022,16.86172431611507,13.575499453202568,17.94174311575011,19.891094503200307,17.114909656422615,17.069758323733236,12.551700786039047,14.056648417317707,16.61613292986841,16.270089656713903,21.577459072487194,21.440048780657133,24.310519848093676,27.11842495041674,25.95501029207345,30.25985118189039,28.20441779575225,30.184162236801946,24.560148021700712,21.36054880101639,19.820143223037203,15.895691912963311,12.397586538856086,14.25605536358622,10.667971757249822,14.454181827944844,16.629085140377803,16.66548268318921,20.37749591666493,21.856424077034188,19.542426610015543,22.31297384578736,24.144341620681057,24.67921176410938,28.326402746623728,30.068252889189786,34.98719776699609,37.01369135999379,35.8727311167915,34.468171137171886,30.680313115087984,31.024046223985906,28.833924796736856,28.10991649034104,23.952716235676174,25.02449900557058,20.319445020442114,24.81430607705331,23.12067159071597,18.69657219538221,22.129474385028995,21.356725843490246,20.716741227765734,17.3445640915097,19.9086658713984,18.636020683157508,23.28878897445442,26.126133793283532,28.254551520983703,31.32445762416114,30.244834839601122,35.37523260361684,32.48994018905262,34.064247735899336,29.95216813372465,29.637461958062037,31.600594179077913,32.18988431601305,28.691608300739084,29.999485281534145,28.71481365639573,31.26183602099658,26.791878271462362,29.219185801684176,29.43494681779013,28.62978702084357,28.478797890092967,27.81873838093847,29.545136004904997,30.861593541271528,27.281640606952553,30.494356374674275,29.953567687322927,30.636270670715508,34.72519977422158,35.30897775563107,31.380828526890234,32.28527657929661,36.63771664472616,34.687093547336154,30.675815302451902,35.330649012777194,39.33297666867187,34.91475854854209,35.45841758748958,39.45274210555127,38.61906028675203,35.686304784440765,38.785388207103956,36.469377491393494,42.081943316425146,38.00634392756248,38.41912218579237,42.54239732634375,45.04662887231662,49.76034662989152,49.4605383723395,49.4747807346562,47.123623816951934,48.66429355318075,45.768282502199895,47.71535643273115,46.991039262443266,41.27482572607625,42.16320797293058,43.852223222684124,40.335173388196715,37.636182382923266,38.972689383166625,38.60380664293392,35.25852778333219,32.246589999771814,33.02696898854931,35.15960253050999,38.82126895703117,40.829337237542724,42.67412447048506,46.79499342473896,43.60708679498665,39.899975648941826,44.174553325090166,45.160945933173494,40.302809454648774,40.57191040878721,44.51029596931727,43.629849398894656,40.77514288794766,45.17115462820984,46.89800663029287,44.24236818668608,44.12391265926411,47.51633959864074,45.07404363828071,46.45696658534131,43.988743854882536,46.2463412672235,46.254668133183664,40.644433825592984,41.642032122604576,43.250188537751434,40.78994741315139,37.166381678985026,41.773001514650986,41.2491908405951,36.04320760623071,35.74434101551281,40.109922633753314,39.0395615946148,35.24518038075784,32.34693877077903,34.88406012301886,32.09430012143967,35.65831699391282,31.35446247924856,31.875775729971306,30.45307253872947,28.05240401454684,26.932698986916783,27.09647233749461,25.820852715586806,29.152248379452693,25.531010335286688,27.06335298393935,23.76979220001405,29.039963576236712,31.201624621293256,34.761686998239185,35.64481002993991,32.705161838380604,35.731623470000514,38.981309195663705,36.94797630839667,36.8951213388315,40.80425525558698,43.01360482996515,44.00163613264398,43.66773986463007,42.63309764726329],[27.60579116463738,25.333859891271743,22.940105817973386,18.584895356286857,17.77212718220693,19.077045101624012,17.01204908334376,20.67375563643357,19.164819309142676,16.40236356736051,19.05233815580567,22.981879406035734,19.197142028712882,16.478178713925136,21.064335076325968,22.00514088294694,17.97709875500507,20.69678567719872,20.422350771688926,22.841832957705016,24.602531945104293,27.887089473564256,27.8347924299354,25.988663035458536,23.93769678830491,20.404666426192154,19.682568749152452,17.472312353311775,20.55200693976024,22.64687228721081,25.936144816998066,27.20335018781195,31.151344661196052,33.10539563145247,30.18583193079595,26.73002691853139,27.23781648009742,24.87837270616982,23.47115206379251,29.116786774701307,24.059314923123758,25.260509429581948,29.58954605553662,28.190184218112154,28.201081487395577,26.390744217786672,30.32474947318195,31.233224581578416,27.24943508106186,31.235921324323897,34.627087713846905,32.840103038279864,36.80904739519708,32.14983646552106,38.06240997983667,39.23987155211494,34.93401598857564,35.32262744792978,39.80977664954173,38.75212423322456,34.422569989736694,36.57272158718902,35.5195503416721,35.89483979351127,33.12506487448116,30.36754285081948,27.131599063863057,25.965936563819817,22.829347182114628,22.687482213822072,21.026885385168825,23.580772675299425,26.030660585032255,27.95003840921151,28.33474416017117,34.10393355250049,32.55437617260391,36.38896174552404,34.85343108608874,35.052631378841895,34.545888659810274,33.46124516206152,33.01347635644919,32.832900904967246,28.875715429668126,28.278302346254968,28.935356948714848,31.620917277729358,29.669783330729654,34.35009518390759,31.70349498611514,34.64907251002483,32.3561499285253,31.796530001373075,27.594751512592175,29.041857916097968,25.250664853101885,28.277954155343288,27.05946959437039,30.93770190177259,29.399967376500758,30.257999882409482,29.094183647061445,29.036772929610855,30.24283589931545,27.253777181208243,30.77169545874747,29.1803153790089,26.79375228136145,26.71230024054414,23.18372259058772,20.200806428621387,17.79832086991333,14.619477646433939,13.602886159094338,10.603949861336758,12.810865561648598,10.560665023518514,15.364953565907824,16.035576780315083,12.975606629789365,12.141826833530281,7.553455047650257,8.740060283324002,11.312442022988698,12.09214964625671,17.384966680297598,17.86982609724204,21.199281702267267,24.228451501570685,23.916873121783908,28.336325495710014,26.79399594028642,27.989499123467052,22.825823084836575,18.95471822085459,18.3334897267092,13.840361767818056,10.052583244447174,11.877338724847267,9.87469347450874,14.36422376341994,15.01536218801261,14.273442580822676,18.03044952462477,18.37378757389398,15.808525075212174,17.897388098930314,19.691115201870954,19.64357698546452,23.440185980018946,24.73468593044176,29.804208367998168,31.674732227323027,30.336512294974586,29.135947998745856,25.40542005706414,26.086068342408844,24.027584101310975,23.87852882239895,20.411182533422465,21.524554281644882,17.774405589098848,22.46022668013661,21.952897128526953,18.31700844065553,21.939140027901566,22.316000848745826,21.355574426606463,17.44504688451114,19.215820849746216,17.062653002423936,21.348734466369297,23.579391951593287,25.168802917359283,27.769084887720986,26.213867187312655,31.588466577587212,29.346168003744868,30.99758720948014,27.64933935791493,26.703808176440365,29.611443396563704,30.822334757541608,27.342052057332793,28.80073889121382,27.22765884640447,30.676181126365186,27.040113964112,29.356096447180217,29.99083404289988,28.411932775720853,28.44929685973678,27.44964426670762,28.963143184272617,30.342914739373413,26.465269399991907,29.243451982691784,28.42422122594551,28.278370286429617,32.518624098386965,32.40404320363703,28.360037958815575,29.831822863319857,33.938666962553825,31.392916044431747,27.8223043858366,32.65734851159352,36.08840171631178,31.416317517300545,32.35897077178171,36.272434128977544,34.89181551712993,32.17733564525341,35.72555389207697,33.78657671012529,39.34811296473309,36.2318961353997,36.299176131962994,40.27999336066905,43.24187773547654,47.93426663265554,47.84911566449247,47.519718099071746,45.27708199826221,46.83496139834377,43.71364339883688,46.16839979243909,45.65784448069299,39.65295649438511,40.654548088961675,43.004179286778964,39.47451735465439,36.57098349233238,38.26871508548702,38.44308205848869,34.88011356681057,31.70583248377015,31.70921206543428,33.375400393592834,37.08536824294088,38.582765220024164,40.1285033904843,43.95851354493358,40.505194056576826,37.0344213135791,41.128840153589614,41.682329175607606,36.70954433646848,37.230242956916236,40.85852921977459,39.67568745701609,37.046771756303166,41.68761332368807,43.078294177014676,40.225576741335615,40.60338675758988,44.1647610659763,42.02507567379492,43.54641937077162,41.11998034769541,43.812302362312344,43.81294049477423,38.076406080669535,39.45936601989766,41.40600487050854,38.848465350186224,35.40788817117717,40.5104088303807,40.147951992066275,34.7655676201119,34.830555604531035,39.580921821263786,38.58875546031469,34.636116910326066,31.311850416092895,34.56342582767396,31.527388864317846,34.461514973833864,29.68856064810454,29.686758817497275,27.554303382757382,25.84115634744419,24.98384734724281,25.960389360107122,24.62845666801197,27.504087417331498,23.18814465153076,24.686563368519515,20.74192356956597,25.455204470322887,27.292122587703073,30.96440797816333,31.400850295095644,28.22558286668498,31.586476704053077,34.65727621483593,32.12100398394153,32.360670399578076,36.443794755264186,38.34560157763957,39.212571768347175,38.85958731616748,37.82115283561241],[27.796445543527206,24.99155111598591,21.697810152781024,17.937662617879614,15.812210385182707,18.881561657721647,16.893675439605623,20.60287579496115,20.385052992107735,17.945591796180402,21.118888544736095,24.488122383971024,20.17996733002491,18.702835691784962,23.104996933954745,23.275014474270954,19.044860201979212,21.907749355228994,21.696556936366864,23.10761582838496,25.027421946916526,27.558652139990237,27.841128779625553,25.758766733842325,23.31110882308666,20.47184202896012,19.106786092268965,17.371565610104273,20.772503964429642,22.773505450077792,27.295826468151485,27.713799215309884,32.01545793567228,33.913689479299265,30.46428732481471,26.982911473868064,26.7730890550058,24.05657036419154,21.981508648822924,26.90180894755427,21.960642764395285,24.197346652486672,28.2388843291207,26.363772057555614,26.481957506470998,24.11798082322062,27.988901232693742,28.98965415265117,24.441376527351753,27.92938433182637,31.492724837908593,30.013873225780582,34.34838653390105,29.80474689159082,35.862760575861095,37.33379630257731,33.28056713002512,34.004674160655696,38.54610582182663,37.42962645916869,33.645768254256275,36.40674969252574,35.72894469127399,36.39531835517247,33.15787498591551,30.391976189822223,28.156790280548687,27.146039333934922,24.855245468362632,25.09572895180822,23.889333551880522,26.92002925220012,28.762180942164246,30.135146521367506,30.060613808525453,35.65660986279124,33.28705529113992,37.079977786922754,34.935498197018994,34.51825885132595,33.64271080411964,31.806941021308354,31.284455625528466,30.43275431519485,26.3756593554338,26.611565740815312,27.881102769499968,30.877460004160962,29.64641093674806,34.73725741989454,32.707388907544065,36.208006546258616,34.11311557575888,33.44943103248947,29.326712198101628,31.320102209984185,27.622465299630225,29.642144615861756,28.136840716148118,31.58081923056825,29.495180708284984,29.54362650450913,28.049338231291493,27.269884302517134,27.454536187989845,24.464727558690583,27.53921349456622,25.420807842971417,23.303614655179608,23.919947074023902,20.73915755370016,17.8104979042744,16.634990576851425,13.046278732663117,13.73392584499218,10.472973778941753,13.27405978737633,10.882889319686557,16.69051482359803,17.630914250516827,15.342041555360426,14.423261057911764,9.770663590086855,9.826205999799965,11.761262862649811,10.064644771230032,15.520451841775278,14.887821193038377,17.69232280328689,20.489494726857753,19.49287267805845,23.83670974956414,22.00515491616832,23.777472364101822,18.250251973802698,14.83701825174024,13.519410100329328,9.32908493854264,5.869688854010964,8.53220374413756,7.423941196904618,12.165795693108784,13.691806616897722,12.41662307822992,16.121951108758047,17.278162249957592,14.529999290222886,16.94936909317795,18.249122103769455,19.081344801312277,22.398255063344983,24.74877030651677,29.356761029345957,31.79475817104222,30.986310363658777,29.195553756817844,25.494381582429387,25.246415455031244,23.362486345940376,21.92863545974897,17.82896001580359,19.664137346235282,15.023378025310361,19.742432593624695,18.106021988456718,13.988170114071263,17.074731105581765,17.25576030531659,15.978413018803671,12.162662450211633,14.158160311033097,12.621632172611786,17.451522543983614,20.220612588616664,22.477212574166384,25.384996149232837,24.733826311016674,29.722598073233854,26.968538805525178,28.217554785868625,24.228643554493274,23.324496119266215,25.530073388325512,26.43795559065698,23.037758938479875,25.00893652460812,24.143559908102784,27.093884289883913,23.397050537596733,25.11560369770919,25.329222586572772,23.792223643309494,23.408800106223946,22.323027211758898,23.824335042825755,25.151277101920023,21.40701873789002,24.45220558166267,23.99779915522695,24.30012110610022,28.613219539432308,28.99576092653828,25.11882025260519,26.455766797496032,30.733436495786275,28.791137040159963,25.31916734231862,29.962724873138704,33.68001173175296,29.656769041947175,30.55514500627713,34.46047030830767,33.58528635434446,31.18863586468051,34.45516438957767,32.15754124368935,37.51143546542783,33.854526548198635,33.66792268260073,37.665223022098374,40.08223235634063,44.96909237690935,44.457674926362,44.00331947166442,41.486990050831686,42.83535379350975,39.68580997479431,41.79900847842719,41.37808746591197,35.51797198264027,36.23464215736736,38.339607910633426,34.9848691365386,32.006320111267094,33.38973537617583,33.614520790299885,30.268679783491613,26.763221103321907,27.31751651900285,28.93153621539565,32.649613484406544,34.59720914566567,36.23557624585737,40.342669602620106,37.04336185303558,33.443371559752194,37.85242018032363,38.719505388658874,33.89479517685543,34.394251013893765,38.37806415654486,37.57481845082897,34.89829647519936,39.33195536929967,41.120392209054785,38.74869805127149,38.70825947265704,42.019990676631025,39.59108216492482,40.70854652151442,38.013636990940654,40.358312480234446,40.709108108611616,35.08514728134405,35.88955032436244,37.88139424984101,35.597361885832015,31.765577798451854,36.54301559122367,36.51468041941599,31.280272211610278,30.742581164148568,35.468635003746,34.86090277845132,31.07999742498036,28.242805396402098,31.487748223879453,29.0224465390079,32.140088654123396,27.734381126348964,27.443956765335635,26.026404207158254,24.390928542157315,22.82919681204709,23.312875168419417,21.408740906036225,24.066688181041606,19.903534881040017,20.92647146996886,17.509354818370433,23.12407031963987,24.949653041774603,28.524113363170777,29.387554159195084,26.81509768159591,29.958650554051513,33.02586280983008,31.184616447995516,31.55467732592078,35.235994335535885,37.452290401175745,38.600344023319444,38.24066682211034,37.287227074583335],[32.80683690142696,29.989108461499114,26.740936604732703,22.944778780296748,20.993112718460615,24.335811334399367,22.310372530759633,25.87919404348048,25.50375814647375,22.630828928433573,25.490045540800658,29.01056909089925,24.312978256923774,22.588171311415376,26.55750891915759,26.67885677679158,22.06612070399207,23.99553206387875,22.528109114890828,23.988912030680694,24.988625756297502,27.17286000517588,26.82079066437194,24.129995263259246,22.41272802706813,20.113411670106057,19.662414550062376,19.012821095321385,23.024066941888158,25.786501193579873,29.945728175146016,31.002380642162723,35.212553891696025,36.48499457746302,33.00063094719246,29.12211445457702,29.456597886555855,25.729294871341033,23.291868821089892,27.72508244995324,22.142957291955277,24.318420508985582,28.06597564550737,25.594031843054715,24.84323734585472,22.091886045050277,25.64231525148698,27.501487700344633,23.426982659660865,26.33023371846227,30.390169759711984,29.455931608353968,33.90190526078106,29.943023333359204,36.209675161830155,37.00680937618987,32.87598627808626,34.40319524621706,38.65250019522864,36.762625140402506,33.290753014590905,36.45029010840735,36.30616929168284,36.22007638920271,32.79629331339436,30.725661263355292,28.378848614345532,28.23815715385677,25.75622432340729,26.856929171148376,25.266439882801297,27.988772948349197,30.155479685814466,30.86189380777594,31.519554982963797,36.78023342861718,34.32872444534194,38.48025858634993,36.2689807278224,35.463825014394715,35.222247118781716,33.13190221094181,33.483881403081,32.25617137365352,27.922950551272272,28.586197258790413,29.278716327673894,32.991473511270335,31.188938092094354,36.71925016046706,34.60212838025874,37.96850715695292,36.33139511853157,36.20206962094414,32.42013382820442,34.52599403671498,31.120694611294475,33.353638743171324,32.28089748839786,36.11669665661693,33.47246353160108,33.91592553316901,31.77841154792553,31.402662726617173,30.944574549161874,28.5015013707265,31.495385321152067,29.12997680627236,27.514207823823284,28.425273100657282,25.612302744010808,22.426397762200423,21.660443804032315,17.723626015867058,17.959018794846557,14.237736884347814,15.833652470350586,12.304684269685433,17.10400314774704,19.43791098216675,17.38056606502362,17.52616637130767,13.125157829642003,14.324226437616487,16.90670271402816,15.170419161291877,20.7725428715851,19.601400168492447,22.019209679175056,24.18211325717575,22.902951003795582,26.896173883441417,24.360508104565927,26.545852350501566,20.84270437317119,18.136002432427535,16.717243597860747,12.951092397796373,9.856581181994262,11.24194364296938,7.434971105420345,10.80376526574318,13.787165802408445,13.82114943882549,17.317164881353396,19.59135746426919,17.44171325317973,20.680495888917235,22.440996860965843,23.832285362252968,27.31874985668432,29.8169092750058,34.359764589440005,36.994770163459066,35.92035867792564,33.9283268763205,30.057405429715395,29.829835917693334,27.460963734557083,26.05164002682663,21.28020729352257,22.38208896604665,17.05448823090532,21.30491099980453,18.86517617607618,14.157061999802055,17.48759846223195,16.45737660033936,16.15303174067737,12.936607810770841,15.719649778488096,14.796611784526986,19.423544850727378,22.579873166014597,25.078947052077087,28.469221524002105,27.943712447550844,32.712664821904895,29.331546604343462,30.75421341112772,26.16628486889913,26.339187287476292,27.635201015763382,27.87807569541574,24.397705463232906,25.638238962280568,24.666165976058917,26.762589570538008,22.159475392615715,24.40973667870201,24.50286135657124,23.892710596957922,23.780117710428904,23.377510181991163,25.327925119585693,26.915796661731797,23.760190740016757,27.28198603114206,27.360801270877445,28.211697110226734,32.498872647704665,33.325458685220745,29.628151743692403,30.745680862784077,35.123481260632346,33.595103945349365,30.023385790501347,34.50292905243049,38.48445278414513,34.69022858735762,35.404975029097415,39.32710087786912,38.720481449833144,36.23989303409543,39.273657265862845,36.777216012852676,42.13279863985016,37.879159657155995,37.89009226073166,41.948753268142276,43.982809400306124,48.889947470900104,48.15345602037494,47.84724333557939,45.1802320324894,46.38702197804956,43.30018712678447,44.96136423239802,44.546447532108104,38.96442527765677,39.39592271945608,40.99732853435154,37.82540207312356,34.92775408448841,35.80149195903137,35.78443365670323,32.780150099519766,29.137532930119626,30.563912090434478,32.196548435739686,35.86475201766768,38.32993435222301,40.001079003741474,44.33182248742597,41.11387709491862,37.530622720607134,42.178237510398425,43.20859021383001,38.523548603603004,39.04909733995647,43.198229661810736,42.572503098572746,39.88460371486687,44.18065869086874,46.14648623466904,43.93298893430739,43.683118506938555,46.87429090670987,44.2816307625653,45.226287890958346,42.42741097806668,44.45871294733894,44.95451229110631,39.461056815922184,39.87903739863543,41.714276161706515,39.58481376454436,35.56462755271159,39.88781980563785,39.87632442455056,34.8396357539877,33.87699028914576,38.285749122687626,37.74215261219922,34.14906638940101,31.73174870609129,34.40064171904302,32.18561783679958,35.76896205730531,31.726811612804827,31.78401911025904,30.797053939091438,28.74714061121542,27.054618577400237,26.95653551460313,25.072130191108954,27.958932945877184,24.286062391523743,25.10159718976348,22.190079995877923,28.13836409182868,29.918914393575434,33.42419467494585,34.35088678636305,32.07079696606459,35.16595597259155,38.1941117516614,36.46473795293177,36.92912097935219,40.51900523506311,42.785902543138945,43.96285114248749,43.57089931935616,42.60034020326367],[34.980286133141256,32.38426504581556,29.366127863725907,25.394513401196924,23.516624917761288,25.986145935521016,23.523339290582772,26.755222514922135,25.78354808272867,22.34378442745819,24.728515721517418,28.443037024277025,23.608189479024915,21.423988818476342,24.99374015631217,25.294880840987148,20.57306930023929,21.858819992047735,19.753249658598314,21.670090600073454,22.217644915293583,24.687751361014953,23.96480218014035,21.27229257752736,19.96326000161646,17.43214179163382,17.69623172052282,17.28136155124674,21.400569068160813,24.612182669156706,28.006635032355224,29.787047647166077,33.75742966304075,34.66976327984305,31.42663788699758,27.369312985916068,28.361741991167783,24.340123160942735,22.181493259404196,26.914872182736772,21.050608453624573,22.461378183621008,26.293311825196486,24.004638315194633,22.988579470682726,20.652985573176107,24.200355826174963,26.080922229282187,22.618225900239864,25.874853469327405,29.815371436881883,28.716692635988462,32.8768576575569,28.995075403828327,35.184781194722575,35.56884744831343,31.245038620791743,32.78261821652534,36.888600685534264,34.81519159014583,31.075387151809647,33.998229269997005,33.83979003083432,33.356577985106725,30.107322345652296,28.27885464456074,25.41322309571836,25.569997153201488,22.720654526996974,24.13020902643275,22.263008944385806,24.7298092412875,27.128813315915007,27.665367805511025,28.798048483089477,33.94928890343159,31.800024660120926,36.11497853148141,34.17772802048588,33.5480257544918,33.79879066385081,32.09415988535082,32.90237697337977,31.983328805066403,27.61686937549251,27.85646303801346,27.890600393041517,31.741353724920263,29.272444611409046,34.781983733356824,32.35134868947401,35.418805119352115,33.956259144545555,34.1708954890222,30.60908011934358,32.62004315643732,29.445618302836706,32.08339442343207,31.45683245276051,35.77190496849952,32.90940105583072,34.09235188380803,31.65312922337885,32.044945298432786,31.908942347447905,29.862755369909944,33.26170138203963,31.281926478539035,29.87258649487691,30.279120627974788,27.54602234604776,23.88369016767328,22.707638264062506,18.606302431259746,17.729587074478424,13.86808516647672,14.434315066774221,10.473929644281972,14.199520735775124,17.103027950779307,15.05405229542203,15.92316972940245,12.033713966804182,14.228178536605588,17.526246941336872,16.673067294734263,22.674355816204635,21.64790423794586,24.332795559707616,26.17736243127437,25.65262785045393,29.52869198318354,26.8486883490681,28.47607596004669,23.068300224654337,20.137679785290157,19.70210389191852,15.356746039452391,11.811981012019654,12.11631779731556,7.064921847204435,9.572429411677962,12.191377287010164,13.095313921216086,16.48328478185902,18.722290599933512,17.01101818303574,20.53327542359065,22.887624476406973,24.280376976669267,28.212536616901126,30.340480380501543,35.02248280751822,37.652053930748366,35.99560333278786,34.03454319669462,30.003580630589962,30.264796382412936,27.39644856882281,26.79077092976705,21.99078283006659,22.177903915285647,17.180591161620605,21.197555913887417,19.511067534013552,15.292657626112785,19.310096386836413,18.54486377384999,18.955542696298167,15.617968199950091,18.131519749964866,16.549561985357933,20.541102131012664,23.357691247555604,25.413847218924307,28.836255237722334,27.755600569468797,32.65210449753061,29.302546066979268,31.138216038339376,26.813438166561035,27.50333190773758,29.046378661800958,29.34734163958909,25.732431175019617,26.161394915723385,24.48284170886408,26.790986695188426,22.151296251896255,25.119020112758598,25.760370986724016,25.23178507534354,25.82029367731136,25.782776389260825,27.97845636083171,29.938022047735057,26.970682585890053,30.48714152042011,30.721578224027336,31.17391585542284,35.66362287970133,36.134558380017786,32.405681868779546,33.933287284629465,38.20737336962669,36.36969591047594,33.06915979739708,37.66516344511518,41.34393795506675,37.3816588469117,38.315294018865146,42.21793648114027,41.25987792438642,38.83008363296088,42.13086935044476,39.83947161621542,45.2350802688076,41.3724083238925,41.30470742543391,45.32331658587446,47.55460947927404,52.46714638964676,51.798515860566944,51.32424586110679,48.64507964366017,49.77878906507647,46.508393056400486,48.30983947613032,48.09730689172227,42.4241371741923,42.74621278197298,44.58464070897375,41.517424601606905,38.478938826581576,39.294436090887565,39.57973131900933,36.613109344558055,32.71005375945077,34.079678313565545,35.26806506812835,38.98870520311963,41.39224407214773,42.77634376566265,47.03830006568842,43.54516141038516,40.217226153282525,44.93042601975763,45.62639710977308,40.891231478560954,41.72680432954848,45.70959677763282,44.88890591445702,42.40897792663202,46.88890387036703,48.64331166994165,46.299127484285975,46.402536998388676,49.707879116518306,47.28308774037051,48.273871834546966,45.43203196942732,47.67055196067246,48.2431626623537,42.67913726458184,43.209919878337,45.23617782075959,43.08686954353149,39.09491881931929,43.57895100211491,43.66179519198932,38.56089760229747,37.66738735289037,42.1871214674476,41.68423818284116,38.044446789409406,35.48019266184716,38.29025340023414,35.914256406120984,39.37744718533599,35.119472018748404,35.095443415396325,33.72409631707145,31.854064587336815,30.380154797934374,30.576435041979796,28.749090664608048,31.526573748322882,27.517033347097065,28.187987926852678,24.90616442655371,30.685334889772587,32.12278327851255,35.7482039838657,36.22179712989225,33.91879402845812,37.372016994983156,40.19184682161691,37.9575294174776,38.81470688255714,42.57024370480545,44.515328611380895,45.54097102598294,45.08380525143126,44.029400828087574],[36.546713681630145,34.00722418371527,30.994888816853027,27.108179774663995,25.056634490620805,27.223412464055965,24.539080671991563,27.507534465309465,26.398502661452778,22.703966943869382,24.845746870885886,28.536701317232584,23.582240274417483,21.364565959398618,24.608910070587065,24.87555047861292,20.125589349954176,21.01575417519049,18.58221247887466,20.552196010878827,20.85334404534352,23.31175382157365,22.448900054040454,19.771342440650848,18.64688063035223,16.169227944817738,16.75263046786046,16.57448185041085,20.70839509521038,24.12712705379517,27.229465790339596,29.27712762546656,33.128533274489534,33.804284757785325,30.63242606480155,26.50604023462748,27.761445137472876,23.54995487157812,21.48355669735266,26.178032307470293,20.273685504313708,21.368029091206648,25.121951835024188,22.8893586485331,21.746114255054135,19.607997848014627,23.03686411487028,24.93391518978696,21.836961175857628,25.087578239924227,28.940130556386652,27.84695715398665,31.863771812778012,28.105554206084857,34.18320729736482,34.387653447518844,30.044892613664576,31.632478875814904,35.64127991551691,33.46676087807557,29.698667357765842,32.57845172631596,32.48318418466622,31.831040345720844,28.616145475609656,26.945615613161728,23.99733942922376,24.350130017408254,21.49911733488927,23.13278079730395,21.22802806100251,23.625437276872173,26.00034767509449,26.324301918564167,27.621845710037167,32.645781120357036,30.522251746156034,34.88874561247408,33.01020586600708,32.370137392361485,32.85283294142999,31.25317288503769,32.32521201051233,31.47514926158954,27.13497821389999,27.267163941087183,27.000562882376936,30.948830180030296,28.23353564735369,33.76211059606698,31.278841766471462,34.2643464811293,32.946699559165054,33.34542832436709,29.95831226022613,32.00698465502865,29.013347289290564,31.679803091685887,31.28055848942952,35.77647692630707,32.69604948830631,34.18343155605052,31.514174371372977,32.24855697507632,32.12033306341233,30.357653633058696,33.871296648813335,32.0560858326512,30.868045653081772,31.08053430950577,28.528500243734996,24.649430704579906,23.454446225159163,19.303362527892443,18.012046467424618,14.192288061330839,14.135411801017726,10.140011673622828,13.112523851383667,16.30633264974182,14.456817499197895,15.731898427200653,12.329346917071437,14.883196154018844,18.41027587109907,17.775573189725016,23.8607570320814,22.743721961271053,25.407150563093843,26.95138015855648,26.7662710527814,30.46215439108353,27.67066175907421,29.045519615010726,23.879856121952344,21.008968781144024,21.02862732186706,16.626507834958325,13.172182978119602,12.862841752445426,7.862048700260019,9.304394438011043,11.620710739987686,12.950526638226185,16.070560337519737,18.35222040137482,16.958072477063915,20.601115603262695,23.19204767149562,24.712428786361073,28.777162588732907,30.83263555951398,35.46776649067505,38.2057228743172,36.26663670155956,34.22906859331343,30.14444842473754,30.541502891773906,27.426078386623278,27.105313530942922,22.26868379409443,22.000922754304,17.210356744362514,20.934383175742763,19.541025102899777,15.692555625498098,19.82299297800605,19.13066190520431,19.943963919063687,16.733121317166656,19.067359351988447,17.314286655947114,20.84555657654987,23.48647790481732,25.348153421756177,28.79048422559797,27.547839114826427,32.379471039786544,28.994915482992454,30.98523517331508,26.76221746424227,27.789301880959222,29.297649881468747,29.55130607870057,25.93567844996873,25.936446495163537,23.999142721427464,26.24585405928135,21.679221601774206,24.884889278397853,25.764502939520824,25.352341005578072,26.2731216852987,26.464420745503983,28.779806969926014,30.939982352962762,28.208424993124975,31.711521936322914,32.12424612339029,32.42148191479163,37.001063789584954,37.35058283877175,33.68365491161102,35.42454388674502,39.620952544399415,37.733995813035584,34.66991189618425,39.2460309522407,42.75791014955501,38.861985638326104,39.92230967814944,43.779416936893504,42.70515895908138,40.398355214030026,43.792547203345414,41.57091058483665,46.91343720158956,43.213230955323425,43.032293117833,47.000453240762646,49.220615035547716,54.135130421412384,53.440138899923014,52.8357786166032,50.08840742975208,51.121760122481845,47.7463826911264,49.547302346845974,49.483896561479156,43.82753481856195,44.012669750858485,45.931732066239725,42.98922060160246,39.87432298899313,40.57282603089432,41.05129911604657,38.18469526082523,34.09292440877834,35.541768261632306,36.43227086957588,40.14166562640517,42.59000238661779,43.797426248928986,48.040396803475296,44.43069949735964,41.270939167142316,46.05701871678007,46.59606880874976,41.892188547616016,42.925766323341435,46.846615650225125,45.98750545274003,43.65114605440477,48.17284887205802,49.86378989538631,47.554938287399054,47.801526687457844,51.105910019886686,48.74223738221304,49.66448397943262,46.754328493130544,49.034965504168696,49.73251667894036,44.187248092787954,44.65611528111878,46.799749260423596,44.717061585832646,40.685611318887894,45.15859944514784,45.37562970995998,40.31061626246274,39.33050275965754,43.885906384138714,43.49198021250521,39.891212622424604,37.37130228184005,40.247147275045315,37.91848232555113,41.32916496650707,37.03278634805183,36.89535624241269,35.43554373376579,33.72406567834822,32.26439584668177,32.536139091482966,30.65115844308452,33.27634207539972,29.153630891636283,29.614531662457953,26.27997649055387,32.023422001597666,33.23673756338262,36.86644272717294,37.153378499535016,34.967237422996725,38.57025069086209,41.22787841283425,38.824293120074536,39.961824888835274,43.71820052221708,45.49541785788335,46.49157939364218,45.96227907390851,44.8699456386357],[37.27286610671285,34.78698193210517,31.837363948548703,28.019042760784366,25.980559343115768,27.96094284180559,25.262115262053335,28.096079304100275,26.904197690419814,23.1837429600363,25.167360144656616,28.82102832441709,23.944063689381927,21.68593180027235,24.762507168393267,25.058592405452167,20.420453738032116,21.13084904902055,18.63129002332355,20.628724143560266,20.835486090591605,23.277605699257805,22.39515932974472,19.818073179932174,18.7549441415122,16.341099023468562,17.040776406543152,16.950002667733447,20.937625731249344,24.35920702264056,27.248148228844315,29.396958513334315,33.14146329934024,33.73949256520017,30.646642686897128,26.55722015659013,27.908706915032862,23.71640649052044,21.741209749034347,26.335557657422385,20.533715835393462,21.483921003533144,25.14422617421614,22.97478802746152,21.822401569854637,19.78389346590823,23.10433444984777,24.96522705935338,22.02260477653114,25.21277989757448,28.99642143421005,27.919936184488293,31.857738292731817,28.171041439839094,34.12925205116807,34.30287548848633,29.997668802603023,31.56235364154146,35.51330828052245,33.334655868521686,29.581776394515014,32.40135672055923,32.30277169184534,31.622688554247972,28.449015831770065,26.84047748510097,23.87852533670179,24.270683032462955,21.424863607341624,23.07168013407204,21.149694493078087,23.471363792690944,25.84288189983192,26.12943026377209,27.48281864279207,32.43401498626448,30.368521285709853,34.70882459831377,32.88696156139924,32.2738724539372,32.83408982275611,31.295000300912882,32.447525442992465,31.628776997580474,27.36435090326928,27.456015013523025,27.075895675323036,30.98618947191712,28.207544508631408,33.66467193678224,31.164759117742758,34.08023089224055,32.80460927596842,33.26120776119945,29.961129726497585,31.96951024185661,29.063671876175956,31.76223952029471,31.4572833000336,35.972759253276784,32.8852160836717,34.48728749175518,31.78287718992111,32.63498235448482,32.53052155428878,30.887307217287777,34.39255989467684,32.66049613673715,31.566385257541736,31.698261876508482,29.24405247362493,25.367989223985912,24.16212476851335,20.12285333105713,18.691829425854145,15.090097326477443,14.776504956301238,11.1152105727712,13.382028287913354,16.56077132888715,14.801973150658094,16.18413292943865,13.191583653711621,15.773922159991141,19.242006283396076,18.780944553966734,24.70887636390658,23.618159857132227,26.216513948858797,27.634018241963176,27.557448333984716,31.132823272746414,28.334784892617215,29.613282518579613,24.620832301274277,21.864221231462583,22.005231752641638,17.75316153284092,14.527706240124038,14.048594311733819,9.614169184180083,10.339854365296747,12.35719957044416,13.790870591857376,16.620595586965738,18.82825247492135,17.615829455000483,21.15568290351599,23.77183724148439,25.270500451400352,29.32152275338958,31.280685025578563,35.850061173833744,38.58139463163674,36.54083482863048,34.531025810443275,30.488317563118635,30.955126486243575,27.802863493530882,27.612244180828416,22.876464861045164,22.449812994843633,17.885368076365594,21.371527016729033,20.081568048239742,16.4872582747274,20.47996130950263,19.78180172619774,20.751524415352012,17.708971156718512,19.93344639244685,18.2196488605534,21.478697661273376,24.007495170636563,25.76420306209063,29.15281410119766,27.86011866642348,32.60706464563739,29.260559505614804,31.28020675034944,27.151242303477797,28.289637583927387,29.748118440624886,29.96918845528846,26.405888599690208,26.25517129337015,24.269622702888732,26.426678538003248,21.96236607732133,25.182225779395107,26.106071945354866,25.769928490027834,26.787069451829627,27.070723675085084,29.402000149296903,31.598689564556675,28.996523015392622,32.45987065732456,32.92845867066373,33.17563668500461,37.73923750943297,38.0417231608861,34.430268109073566,36.22344796700191,40.358878432534524,38.462970009402284,35.50583976024371,40.036057621581726,43.46082013371341,39.60221952298695,40.69982092016872,44.51766962259572,43.39804213279912,41.13346451314519,44.55473984672711,42.385730378366354,47.67929130009751,44.06757744733023,43.84753728814777,47.773227016999165,49.98332240553722,54.87585564592128,54.18009973402696,53.53794643345552,50.78245631962018,51.78279065812771,48.392294293153505,50.18534820085509,50.16658448092752,44.54394354592556,44.688116487810994,46.62190654696719,43.73311295650119,40.61215333575004,41.26710119894316,41.8027322720418,38.99586512211866,34.85819790474115,36.33262041990155,37.11619004388872,40.79551812880522,43.2460418217633,44.38811365948248,48.60771871624351,44.96667887272095,41.88515362250545,46.65605853959338,47.134045506424755,42.47099412659627,43.56238935947218,47.42851764124333,46.5559850259903,44.283619558507326,48.79544439758354,50.44698811086956,48.15535483846827,48.45835693991266,51.74875217067464,49.425680521064635,50.32699481741565,47.41386201522546,49.70417064429524,50.434965133178736,44.92320375466562,45.37527949484078,47.54611654060787,45.49499773411338,41.4804699290898,45.92740344274999,46.18064720360928,41.16148681042165,40.16193037040157,44.6900975636509,44.34335052751287,40.77842808490861,38.291770268836,41.163986115428116,38.86690477906766,42.24114513216113,37.947769131760225,37.77969778016776,36.29405372959627,34.64948273019608,33.21803173081474,33.51355111411697,31.643662269649752,34.18669242363869,30.082191117724495,30.459448237698982,27.152726402864857,32.78107460325734,33.93093274355098,37.51916965274816,37.735437333745836,35.615047810315666,39.217357465554414,41.77635374866061,39.330295148364215,40.5431297542393,44.26276825137625,45.952670436127,46.9460992430512,46.41969957503179,45.2974171576515],[37.95500467949007,35.45972052073161,32.50295607594346,28.829061607974403,26.74034887158774,28.79851437392468,26.177942344145347,28.93662084833856,27.824494542289827,24.198472456123262,26.120806461498614,29.681466877380625,24.88840527594277,22.72131009721416,25.679317380283774,25.94267567485937,21.43983536437121,22.069004092615163,19.592482385942745,21.444041035946036,21.577890152830783,23.86623993914873,22.99606118396716,20.444896592690206,19.432350979593597,17.23048245916995,17.927718087842884,18.00345882466293,21.846736383834656,25.189191197966338,28.040744966440656,30.13512557116433,33.81359781699547,34.37401984950955,31.29718148960594,27.27423122506082,28.58152917944455,24.407053769410968,22.40163485612197,26.764855645115915,21.086952838438275,22.108954265565497,25.610675547745895,23.417468266699125,22.2456183852109,20.189738089140988,23.37327980107156,25.24789628741618,22.364104482500256,25.315624060029847,29.081772230031245,28.14419545931738,32.06708908903259,28.478104153745587,34.328299972431445,34.543694881740905,30.323346315326035,31.919354328318484,35.8211392805622,33.634718578287256,30.003506590448886,32.856038882690555,32.81472288085648,32.13393662544468,28.956457462277907,27.41337176310238,24.579755398546478,25.035934660135293,22.30851941032399,23.953841631376655,22.079061786152643,24.337416864138298,26.64681287442422,26.87224702091191,28.21590481233558,33.05520390109477,30.975916206927778,35.260329193336595,33.4208398872815,32.752840783319165,33.313583700709344,31.70974769757772,32.88441154104097,31.978859688716753,27.78577707621972,27.99423366118191,27.635613268087642,31.528349528353086,28.826223507985286,34.24042822501842,31.815530307736623,34.71506433582703,33.48914232303674,33.95562082450303,30.731671162158474,32.72869175077212,29.893522799674777,32.51643740709265,32.224553473220844,36.66484056574316,33.568598865983525,35.1071471711611,32.39011243454371,33.18671270698027,32.94783413389027,31.370645141644026,34.75656428264353,32.972097370991925,31.971500780919133,32.18757063155654,29.85719656056905,26.07502611388405,25.028784609481125,21.10889626463144,19.834701996998586,16.464161453702502,16.131038130893163,12.807461185132846,14.696524086194986,17.74045555353736,16.13401982734515,17.47406309741835,14.821256357148918,17.161421580064896,20.407152496624192,19.825885420766365,25.531133991380422,24.338720684260068,26.756685123278558,28.057608662179085,27.867825040780716,31.31311613160252,28.476303026056446,29.853309254895105,24.927074554252744,22.391132359954096,22.42389147126399,18.502434013152246,15.644157129064524,15.14779542931567,11.195500117802025,11.524243532389265,13.521080509207872,14.932614766036284,17.491244373036302,19.74845665551532,18.643516788535333,22.07772899671849,24.58276070637777,26.126109187105136,30.052864115695915,32.04243703668152,36.508433904399745,39.255233856362835,37.24855872016835,35.22358497686717,31.248177685498923,31.64399134787161,28.545254517247628,28.25993273269691,23.55802193135852,23.169653556836366,18.671039294004384,21.945881970765,20.510235270135123,16.92009589789529,20.611818840316708,19.704394718578047,20.716754754111978,17.947496544977998,20.213319091636816,18.778856893647728,21.932689842076105,24.477173357601572,26.281753983354772,29.655075956541086,28.48748051368983,33.0870484094141,29.70972555728043,31.65156444432054,27.486340591189986,28.69143619456469,29.94617064844424,30.05791973933114,26.58318144879886,26.44804908178885,24.613186502268295,26.545201033852248,22.131257216281032,25.201342659792232,26.007053229540478,25.812005604072077,26.720350378399395,27.049884513255872,29.379885705388553,31.56409952036685,29.100048828483178,32.570907215143365,33.12843998486048,33.46869687714013,37.97773874389268,38.36675342689384,34.83905795564072,36.57939547524229,40.68371431960389,38.9039302140785,36.00722409931388,40.434276604720836,43.86263033448347,40.12793068644576,41.20050283487093,44.97407652920754,43.9262154374671,41.71897459161768,45.06190070760806,42.871046820147576,48.10126261634905,44.43652804802078,44.19222133311294,48.087974812247055,50.19434397374501,55.0831879504586,54.32308746643302,53.68033831573437,50.89292188191807,51.849374437589034,48.47992853082602,50.18344149251178,50.18364177603907,44.646562120036606,44.72663153409768,46.57530270394972,43.75215789036156,40.6562877108013,41.21590943142614,41.73193950177469,39.010592894477575,34.872952226526145,36.47918368127983,37.250241048112926,40.87697556265476,43.3994098093708,44.537094901475896,48.77096099867624,45.17433121755523,42.12013254380278,46.89830260601472,47.405387946803586,42.81188814031936,43.9038198002977,47.77743870151557,46.960668697521236,44.70811993303125,49.150253734914806,50.834769789458136,48.62004214744842,48.874990998225684,52.10825927645908,49.766938285552534,50.60390912178749,47.675196992371234,49.88951487160931,50.66756626590744,45.224002555522866,45.5787224073055,47.727101952569235,45.74070632950904,41.702589895513896,46.0302749676796,46.328550317614855,41.391072583226936,40.29159071709907,44.75824009632565,44.45627727162449,40.96339122378676,38.60000228230585,41.39139366950114,39.21302481279389,42.619847774886054,38.41570188992178,38.25011904686536,36.88020830024955,35.23707268672292,33.75706462395084,33.95191057191565,32.0536115169289,34.54528106678679,30.557653755188866,30.85509691422288,27.72566435800086,33.337678449474794,34.4838225638463,37.9919109746548,38.280133462641665,36.25549656081747,39.77646570304258,42.28137992752475,39.92883254367653,41.1581095784087,44.80223182324101,46.48967952290279,47.49166773193873,46.9511742279459,45.79920769923971]],"stdvs":[[0.6186739838010563,0.5981980533501153,0.9401836886323497,0.46590631163678636,0.6104014454956407,0.4399401002216561,0.44333140440588614,0.4927541532708318,0.5426372389371199,0.5904131741794951,0.6163157332131057,0.6229724325706142,0.6198721862655633,0.6277981363669745,0.6357711717797669,0.6223106066262089,0.6625175091475564,0.6205515210642482,0.6519450158750578,0.602241037657713,0.657302464189705,0.6056005189767535,0.7713776479311707,0.7972533436129433,0.7378618432361912,0.6354727112346306,0.5999144324482553,0.5822092344598265,0.5914094743043882,0.6054510693824118,0.6170857749725631,0.6298503664704406,0.6294891746558646,0.6136857096159654,0.5996012423169454,0.5972590122877794,0.5703126348248392,0.6135948995055739,0.5166898407524532,0.5410459228550115,0.4730984431508937,0.545301737366549,0.6627797762963888,0.8332736892330087,1.2580206961869884,1.6065069148834987,1.794687982400195,1.0701553235641965,0.962498012129876,1.115559539981519,0.9906545689306379,0.9408076825729313,0.8545811076569211,0.7021238286541811,1.0082383040497909,0.6696627285217767,0.7207427433961259,0.9739521491951348,0.7533829950939449,1.0593976788340285,0.8363106375652485,0.7813386147812685,0.6369800176568112,0.7606548463352923,0.7492718221341372,0.6775306054159851,0.7701318847497799,0.6116671060919937,0.7214777744362084,0.7072937726234253,0.8824664570120955,1.1177253838790038,0.7348138592020697,0.87747775404709,0.6547580583484433,0.9676371362129609,0.6134222349946361,0.6415266892424049,0.6747058121103099,0.6933458259530269,0.564851652337203,0.5810381405323974,0.7173942277939097,0.7449246446374062,0.6092096429664412,0.5471634188973004,0.5356795439391502,0.5837533720952635,0.6074246432404722,0.6372644621413011,0.6300740138748906,0.7455446888114474,0.7154521334514701,0.6378631490339952,0.644920663497888,0.665094323566111,0.8802965660446469,0.6617539910116088,0.5876542362882133,0.5382564338666418,0.5682277901746886,0.5770311767328425,0.5559672180525691,0.5144437999776269,0.43780569601539693,0.5023455956878282,0.6302455462066849,0.569385515139108,0.4187237499376092,0.4348770131704748,0.4061118516395198,0.40017851820858497,0.46845912648057497,0.5004561256044191,0.6143119092521134,0.6519689334012809,0.6572531638745859,0.6104346202489842,0.8034434624779188,0.6746599244899291,0.7044113465766969,0.6417754881516394,0.577562591041933,0.5904479628122838,0.5090816854207691,0.45401594155457403,0.44000562164790025,0.40048208209460645,0.3732908303330272,0.43531111449796606,0.4417825343978946,0.44929878356927266,0.4794641611354733,0.3501759550164357,0.3606620176751376,0.43151214684694894,0.49530727077240966,0.30772763481915666,0.3410809516606408,0.5517964079803718,0.4738084671136445,0.7729529632084874,0.6309426461811407,0.5786962464248703,0.529476911001558,0.5792518039028153,0.6005000605258766,0.5681573655267924,0.4965362636307057,0.5467204319198208,0.46556209674610505,0.5119794188348171,0.6300351076475023,0.7264168746029785,0.6441918558883132,0.5322462649671972,0.5241604514412699,0.4975674345101927,0.5396492019787532,0.5133823664679914,0.48255108729115403,0.5014945449614091,0.4965453367620048,0.442367148333081,0.5031335304486515,0.5881801701550857,0.5735711567065195,0.90798018665098,0.6356843001409462,0.47746886329277693,0.3604171541309843,0.3369162237391599,0.3849132372924537,0.40289883853351643,0.4266739570699088,0.4376396974945353,0.5237699497654749,0.49730187231151063,0.51787846083844,0.43992362140907165,0.5045097729384431,0.42742455763180004,0.4687710085376945,0.45969167064603356,0.43873899895397234,0.6733519809050741,0.7542118089521536,0.8215390186043839,1.1897194471019494,1.063571229056256,1.1618399204467953,1.1745819930152088,0.9634613134451633,0.8827255335843232,0.6975401557870988,0.734682024426389,0.8111460521873229,0.9289303091846418,0.7005020021852687,0.785741291414533,0.6928252576084427,0.6185697449015196,0.49997312681689615,0.4893102928142032,0.524641554999555,0.47695286043569735,0.4976569685567948,0.5098141700096749,0.471975188868814,0.489198116941139,0.5288441899880989,0.4778772080311958,0.5574112905080234,0.6947811332060372,0.7474562493670307,0.7396496312184013,0.6565708925610749,0.6651551597636401,0.593402906536168,0.5979319261931874,0.6825097322339122,1.1329335206531899,1.104561415815681,0.7608189011344942,0.8428425581836366,0.8743355916600387,0.8942640498820759,1.0417913254956521,0.9060949621689149,0.7789937557049889,0.9516271445750875,1.1115125262164902,0.838363576714754,0.8504702690809623,1.2643144435492142,0.9660220018248872,0.8794531512617796,0.7717322184954096,0.7320978141178327,1.1206141161111312,1.0313603750033087,1.0234826786067668,1.057092525861801,1.0088001290472233,0.9337398312943845,0.8653219066452997,0.821939803081097,0.7414845522517856,0.6389436300848826,0.6047554718502304,0.5844257171298726,0.5858528822617542,0.5478686787627968,0.5931890395677963,0.5585577186449184,0.7644627039082859,0.5370599437815665,0.5116929463336777,0.5236853208373464,0.5891856666216474,0.6586546323852046,0.7610468402846555,0.6028023396070401,0.5221174610937331,0.6438662972409289,0.6304128916670158,0.5938287671378674,0.616309563671692,0.7371992587666576,0.7534741493593264,0.6883788226050624,0.7273953036451838,0.8936875918106809,0.9223119204156636,0.8580878152869467,0.8391775855016549,1.511690545180019,1.447085424366495,0.8982240688455774,0.7521099568163934,0.6197471533377344,0.6912440915425987,0.8681110252180572,0.727471606816841,0.7350185375391576,0.7127298279022942,0.6039271227752104,0.6991181508965357,0.4632339337932644,0.40300165904722657,0.7495503861431492,0.42595801714010734,0.46088615081225687,0.8280857233456232,0.9100940985877837,0.7505220328124309,0.6189220029092286,1.3070029271625527,1.792134233665927,1.42545228683376,1.6153640878248843,2.4105460670683723,2.832105026848552,4.39473141404554],[0.6343469432391676,0.6290683618478757,0.9392169830701084,0.49868529478148566,0.5915773427633741,0.39647782573170665,0.35322819557889773,0.3875382204033491,0.3743114652591417,0.3582284210195865,0.3685877692817665,0.4551621905481667,0.40761270864332966,0.3909727945031246,0.4207500466339638,0.41038462234234513,0.41146424658375697,0.3794596710326141,0.4848752683031644,0.3981309401603667,0.49639399595586686,0.4702825059406325,0.6871958395309953,0.7189518337221847,0.6459736776573982,0.5096409257138875,0.38174165218363343,0.33649675638388543,0.3484736965144335,0.3745604088973191,0.38060237830423693,0.39691576825310204,0.39024832170948837,0.386292565977799,0.38086192925058937,0.380387672116438,0.3850504195208385,0.39527574134291654,0.34474377647679155,0.4351060102895668,0.3476028916931422,0.39333471003794884,0.5126722920265675,0.7374164382355612,1.1942132172094535,1.5817053832358858,1.7763421224573495,0.9931788806371888,0.9116803945335633,1.077612561151799,0.9483585799846116,0.8454508720487279,0.7703321500939022,0.6270506349593902,0.9622874614407754,0.603109938235159,0.6710083276855535,0.814496632972629,0.6380584641167596,1.0318120476085435,0.7444303660310835,0.6550419525346703,0.5019220165367391,0.6125184755944961,0.5878226468835106,0.5125713907877982,0.6160755298599122,0.40521508088985203,0.564170212891502,0.5271164339787259,0.7241748637386315,0.9687992281924871,0.5607895174025165,0.7768639185320683,0.4814008762856106,0.8391644897353616,0.4524845352661365,0.44116659493656196,0.4893009051135007,0.5468935080277254,0.38818638806884476,0.4700371046483013,0.6198482430864974,0.5757520377088817,0.49938202951068844,0.39553147464232724,0.35950742463672775,0.4433467113497686,0.3993763823389243,0.44789536232859106,0.4028258469241629,0.5872357348056584,0.5447812248446213,0.3951304045514818,0.406550715931068,0.48021004958019287,0.7090975981849267,0.4414996425833941,0.3896642583077905,0.39304187328881296,0.38154715251188753,0.4930176093290462,0.3720218027405424,0.42546556642149996,0.4330255055630118,0.4544531975505774,0.5343579698393619,0.5497685402539549,0.39362747875781395,0.42754146351454797,0.3959145305260326,0.3056994912875271,0.3517176955473234,0.33654260466496916,0.4088484794765843,0.417534561852167,0.38829791623331134,0.39894028104734003,0.561445101338978,0.39270172226153705,0.44050697106625103,0.4132409343579487,0.3940034402968758,0.36636974928268845,0.33572115204664127,0.3185384269056255,0.4109732805033353,0.3872566458339126,0.35865419442742424,0.4372656331387752,0.4408664379580763,0.429658996361071,0.4553447775680729,0.3242884501974425,0.3365849083346255,0.4401178859103264,0.4654700245664625,0.2799130517156158,0.2054006066557033,0.269904349471651,0.2880701100515521,0.664562512988315,0.344115550128243,0.28719939178125403,0.29391341795480236,0.32797288469119407,0.3488664451280828,0.35943214755543357,0.3542759707770223,0.4015359915235322,0.36930692531238984,0.3869310368294247,0.49992611924795993,0.7205221435801367,0.5845185220923919,0.38768819983758834,0.3831639208411773,0.3836729095266486,0.35749953970135034,0.3819474898664789,0.3597980095452312,0.3714333353462405,0.34701773287959814,0.36543646045918127,0.4895991867023954,0.6931442807813071,0.635742059741618,0.9985313785905565,0.8203641004714427,0.7302265355203473,0.46729015676793234,0.32458116816425797,0.3362113640864959,0.3396002985052118,0.332794727498563,0.3638587068510603,0.3845011380197584,0.40498907843127535,0.4343967448444576,0.38128246803212135,0.4518950977666643,0.37605441493686315,0.4382751627865813,0.5053979803704639,0.48715150607215424,0.6478240965067379,0.6766243615147387,0.765135118127741,1.1420507483282103,1.0420584156915034,1.1385918806023971,1.0883423412337576,0.9600635380856472,0.8940679572885716,0.6749583929317129,0.685290668791398,0.7882396031457588,0.8817694057307545,0.676682494906084,0.7997627044205797,0.6437703178916231,0.5815785120368923,0.49287174641776765,0.46046434835468636,0.4900171398468509,0.4696352154670263,0.49492546992857084,0.4981672614442226,0.4657361057199423,0.49516613532018244,0.5393043391462763,0.4944095300094263,0.5452536983260903,0.6967961533204938,0.7683394364354643,0.7635155859818006,0.6595619677941894,0.6466303973029359,0.5749648537640861,0.5799829824241761,0.6249179986536979,1.056850093062844,1.0287653413157758,0.7155525888939527,0.7687096679071231,0.7768216049249492,0.799872878115841,0.9300985064065995,0.8082302701273796,0.703675022950756,0.846766483446844,0.9922819078163293,0.7652208755397399,0.768977015105297,1.129546352670146,0.8690117630399136,0.8174243196331622,0.7225637032065119,0.6816201220938042,1.0367848648756444,0.9221480933929794,0.9264337021041303,0.9296558041652823,0.8891524478549391,0.8725464917867933,0.7731435875288662,0.7489845542417419,0.6766473796733679,0.5857125250282254,0.5751918355096174,0.5515924823132186,0.5763052836679627,0.5340674645814955,0.5665078882964746,0.549641566748425,0.7820562054949372,0.537515927004049,0.504017683232621,0.5070380735604798,0.5501154635827493,0.6159203935705886,0.6862218228806947,0.5557497901538274,0.4876737530637017,0.5876106616279867,0.5699531729853061,0.5537556491607039,0.568189667740905,0.6688827218833294,0.7125290769429536,0.6502677788454281,0.6811545876898725,0.8331976771935855,0.8923213091816764,0.8219610055937354,0.8068888257167552,1.4982361980597099,1.4143500444006765,0.8626239903188401,0.7401161812410472,0.6203664086172489,0.7006915756017956,0.8755396432609952,0.7209475121071899,0.7146942005295239,0.6915947692272628,0.5910377162348543,0.6770178904726126,0.46323354447442716,0.33558144082341956,0.7816954613497061,0.40186799849635,0.4104615774277759,0.7853525314355546,0.9521951502687155,0.8022388936500319,0.6618860720471698,1.4287968143703513,1.8863536074072886,1.5861099291799443,1.6815313696278764,2.458651004898599,2.803413274994422,4.2629199865940866],[0.8022456134054985,0.8291041510154258,1.1067662075985583,0.8287847370169498,0.6672579770239218,0.8369072828330886,0.7035523339738415,0.6306956849938354,0.638821854157579,0.5403310715128721,0.5325395275769736,0.5831278485304832,0.4645213335757287,0.4921529524706397,0.47449236001112033,0.41741833323121624,0.39326242731617134,0.3751718711228895,0.5085488674041521,0.4638510728712135,0.5534502315394102,0.6417741737225496,0.8300481492350007,0.8948397872106852,0.7819065752651836,0.5863106753165929,0.6103175214376135,0.36952229328741826,0.3608888594249483,0.3459781359095857,0.38401372605697986,0.38035587567827545,0.373403106651105,0.3686609507186169,0.3753890680651569,0.389050472075546,0.36958537529061264,0.4270592511129225,0.44233382724366677,0.6473699383633922,0.6411608246579905,0.6711849040663701,0.8689060791375657,1.120162514905338,1.6149647624133314,1.9610756304190204,2.1257794118932267,1.423497750755171,1.2958690963108908,1.5068422723537767,1.3179913161458088,1.1116135930114355,1.0963065360047624,0.8848710033795736,1.1505835466784016,0.845545410371631,0.8135316405231967,1.0978886413303268,0.8806838254113513,1.0437425209822913,0.8755865016479771,0.741410660461529,0.5709363107340708,0.6377964958768071,0.7385703205230588,0.5770227262167404,0.6101583894891399,0.4266560461503817,0.5905958374123541,0.5348652118491597,0.7421241728290603,1.0048070144673154,0.587998078615024,0.8275738587790615,0.48228705009644457,0.9718690078844813,0.4872312547990837,0.43220448019608254,0.45918064967757694,0.5820090162218068,0.4879238882602742,0.6020839591113851,0.7065564461351476,0.7288465954191296,0.728746834929493,0.5069683148092969,0.4854020694133441,0.5029121697662468,0.4374180655930027,0.45803485410566985,0.41801760848988007,0.630162200674776,0.559280790761033,0.3948917017798734,0.41671674045283136,0.5348722238617681,0.7803790664363001,0.4811036682926778,0.4743459711054541,0.5501656222158313,0.4018306153828711,0.5550453163700008,0.35219166461386603,0.44080210198256187,0.4070157790410034,0.4450226282071522,0.5216085439633192,0.5748444172699517,0.44835471401605587,0.5085141958501866,0.48253012920042687,0.3607098058658454,0.5140791348332562,0.3919690284199492,0.4476868575955864,0.4206427127573296,0.4056435156300117,0.469097658672482,0.5842315689269634,0.39520639076646125,0.4504796749007045,0.46467024512277355,0.4687640598376394,0.4707774194997461,0.5762474945000022,0.4589684408214505,0.608864232493187,0.425078673135029,0.40790470649643734,0.43025348020231385,0.45469259852913835,0.4408487879142534,0.47061100241239184,0.3990741804447147,0.4119861617899602,0.43679057980322794,0.544156787462967,0.32864551524674274,0.23151788124042977,0.34884095540308613,0.5835901818329792,0.8510762490299291,0.5318148439603979,0.4154616884355199,0.4722012926856282,0.35051529169771556,0.3392744295730311,0.35284618930792117,0.3509363381649334,0.5035670127763897,0.5257941191516894,0.5812254177554704,0.5945330112595245,0.6895093325915955,0.7319287059930092,0.5148471256940169,0.48056880982738526,0.4633022329432586,0.3634234382630482,0.37710304383187476,0.35861393759727944,0.35215809322649644,0.4428862253191598,0.5344749556080164,0.8112302569477725,0.8322516687055621,0.975014005292146,1.3908515964672432,1.1301892886131448,1.064646602040027,0.728178603494518,0.563839929685768,0.5507418608758596,0.47685697208416006,0.41880475105698206,0.3602529397867615,0.3891131129361638,0.42528724739793866,0.5030682559218679,0.434252626613841,0.6419218323038459,0.4033003069599592,0.5546639748326551,0.67378103449972,0.7233255501733492,0.9817866892461524,0.9873206054237613,1.1216920786866842,1.5136169850911705,1.3647297999693881,1.3925908951913393,1.1246858098409998,0.9711829023971018,0.882352652517289,0.6660873684736106,0.6987929562724086,0.7686005541778705,0.838787706511334,0.7438109683544429,0.889225666897073,0.7320085031778037,0.6697101292702765,0.6487494403891328,0.689622937443737,0.707245362701547,0.7627907014212684,0.8648229391448685,0.8294228333379139,0.7779738605931948,0.8634070694829371,0.9169033332997562,0.8857703617791567,0.9079783719258165,1.0049115656399208,1.1204518712436173,1.1270177586835841,1.0107074673281145,1.008887036975636,0.9238000772888888,0.9114425364773681,0.8952734645389971,1.1811952911458488,1.1673518087533326,0.8398077673834801,0.8671437027918574,0.8075027627755078,0.8101839503548063,0.877121652111303,0.8447089384850347,0.7715731745337575,0.8249237249115396,0.974820886459853,0.8483642218974642,0.8052848463423565,1.0567215643205594,0.9072879538069346,0.9220895738173404,0.7718421299741792,0.7622022643814561,0.9832111358921263,0.8600649339259083,0.8909351524151092,0.8436843460094231,0.8051092351286745,0.8081715036967237,0.7197167397284971,0.7580488939815219,0.6655498935672979,0.6527561879635166,0.7476023851005482,0.7474943279997279,0.7872051500265113,0.7874948027240932,0.8196073363469348,0.8232976135059997,1.0460537484649435,0.8643216237692174,0.8133008236685786,0.7954177471191592,0.7910871150114744,0.8022269207672413,0.8144352685555715,0.7992487854635958,0.7193624200240636,0.7518785077175046,0.7795107769510223,0.8265419720063681,0.7837880161176408,0.8286778363619637,0.9278422911518951,0.9106071701588099,0.8646026691543653,0.9905320371048977,1.0882853700955295,1.0300770585835244,1.0457722864928642,1.611894591095587,1.5595484008151421,1.1311298304579722,1.072207513140111,0.9878478294873088,1.0051279971935139,1.163853648342238,1.0488179157684225,1.0392423323850215,0.9976668097366884,0.8975952720663184,0.7018992792428427,0.6622509961326476,0.5305148018743305,0.9311676733389811,0.5081295200774537,0.5011308216406819,0.7396702746072545,1.2009314598986258,1.082544107142561,0.9937485866491623,1.8620806919775805,2.2897480163485397,2.093357594317093,2.1188477145352054,3.048118217713507,3.224577590244222,4.560614858181347],[0.5989810665696558,0.578429910445714,0.9078585409105699,0.4145451624339092,0.5509634402687079,0.3435325543301281,0.273777159405437,0.3187703174161508,0.3168247369888872,0.30493869072771596,0.3038431766824626,0.40498505067382634,0.334333145946324,0.3299625533712288,0.34889864438840346,0.3717690246958568,0.36493576377569115,0.32773774300015757,0.4262217208597745,0.30795874697219805,0.35371195897046254,0.3750741726460275,0.5409916114336312,0.5621922855509344,0.5535571775759364,0.4043974255045024,0.3010353339822565,0.28012278913388705,0.3073453321517082,0.28179711890138565,0.3446561884072959,0.3346366194528915,0.3472027617615499,0.31541327117572554,0.312509549069763,0.3061357156604526,0.31759688851433904,0.30230919574948967,0.2797098815585396,0.3791569808485531,0.3067160634038945,0.371251427635735,0.43101250919136186,0.6943961982173982,1.1198200502903983,1.5832024960353566,1.6363747110831455,0.8621510596848787,0.8796353961221475,0.9604451671582699,0.83588021857719,0.6780410897860943,0.6637785765422607,0.5219126297896768,0.9318428210398444,0.4737055880030539,0.5469072931410641,0.7583051551067747,0.6914046565057719,0.8324991662197393,0.6357500617532619,0.6028063662276621,0.4320906230631731,0.48597515048841744,0.4979265396719613,0.42270429118988206,0.5049678897591345,0.3424536476928364,0.5308013136132906,0.496729408818173,0.6803236006806818,0.8857473117820633,0.5321346295924816,0.6868401020316689,0.459929727805317,0.874240983206558,0.388225224192188,0.3449308435212577,0.3618725303787936,0.4256895186838765,0.36568061034403176,0.43744678740004306,0.6972047163366344,0.4752189986328171,0.4590328636610695,0.36461812814961914,0.3117606029594551,0.42363891475638243,0.30343300362250825,0.4373463527614099,0.3508127061008496,0.5294181741983031,0.46902369381389214,0.34001805361607124,0.35069925210948516,0.4283354228942035,0.6255138826038741,0.3679006695160177,0.3401169907466419,0.39506578798109176,0.3260023277147359,0.45250651423033933,0.29094658657244227,0.3652148393782693,0.36953984540647633,0.370927266958144,0.44523419676578724,0.4722011944009565,0.30833518549623967,0.5358686744315528,0.364922596850566,0.267318482298595,0.2634799824223429,0.2599087921987408,0.30555536569986275,0.30838290822805897,0.3538311363825801,0.3787094724282643,0.4601302835929021,0.339373134254454,0.34105232085582377,0.34822598006975164,0.35223726163173025,0.29569992367624826,0.28603579055877404,0.23428143173284646,0.35053688381735953,0.34761542835952297,0.30959496204502757,0.3350034513266458,0.3643999792846935,0.34068565421445934,0.32979016381517195,0.3030704468340215,0.2619204695233113,0.4247027990789587,0.4941085137439005,0.24591608215377644,0.22700848545063498,0.23606541853440396,0.2541917500221963,0.5023180540691479,0.2720714413036476,0.24469951200935355,0.25863334920784353,0.2777575039025798,0.2919623457989103,0.29845318615201194,0.263687992473858,0.31050824717470743,0.3231446390479195,0.3203023853109204,0.45551279662328586,0.7497026047884211,0.5525279971545984,0.3240027290720224,0.31641470752943035,0.2867111821642413,0.2704028654687487,0.31241271955073496,0.27955054940867763,0.29154564732424376,0.26883426792679677,0.2754975368832359,0.4383651498882893,0.5746770302591628,0.46654029451131335,0.7381204417548525,0.7309128441647499,0.7379295673619172,0.414822548501453,0.24662011265905112,0.2788655311076765,0.31885823728531326,0.2939087651754033,0.31514815129939977,0.3510712496339407,0.40231844750698403,0.3583294462493771,0.326461739895489,0.4130927895039111,0.3214199681609714,0.35490642172906794,0.41991788096094257,0.44101877791583866,0.5926164484076808,0.6130042516927323,0.7445276590064445,1.1043414570029486,0.9542600285170186,0.9198093687645145,0.8487398325240951,0.7394551459859674,0.7170848563839185,0.50309782793147,0.511911989588065,0.5518772013158408,0.6217126544124663,0.5179246521024048,0.7356800734198103,0.4742239507841952,0.4457795763984585,0.4011517423992764,0.31515844020163536,0.33675965292618476,0.3651616680561641,0.39222999659591734,0.3811244330295722,0.3448561875413501,0.4052082487013999,0.46584216385911664,0.4168391254356222,0.49133603959795286,0.6420118044760645,0.6843145483274871,0.6401264247384014,0.6272383645183246,0.5092326798916533,0.45302431818421335,0.4558176804729005,0.4565527888980641,0.9797161258914141,0.8045603870578364,0.7524273144205985,0.5985179887652672,0.5614285472121293,0.60159071606386,0.6860434133059121,0.5770680036300396,0.4768481538812815,0.6348975952202767,0.7674356534254704,0.6069226621881337,0.572390295630987,0.8923866692307247,0.6534164048029949,0.6528905143186011,0.6311888557568024,0.4990646066162588,0.7835688428294817,0.7042559887171613,0.7649216575683938,0.8091501867799337,0.7495497073978431,0.8048876024034248,0.6604927642612907,0.5772286916146838,0.575528165216024,0.4894650688517209,0.45583951020399904,0.4425759164043265,0.5149024482045295,0.45954917453589034,0.4691347350632064,0.48698652730844827,0.7601189566524431,0.4563102537811518,0.4038866727106584,0.3873200891813924,0.3980141497662402,0.45510759203659357,0.5110887678088023,0.37686734405218547,0.3522257346252084,0.3967086223372976,0.3944661830206653,0.42323194718366863,0.41668072760439767,0.4945529765348624,0.5983875852224534,0.5332372274784761,0.5480276276565478,0.6338335485108508,0.7698491231261712,0.6917264684001069,0.6998437981144092,1.2851319156562426,1.3079019538259098,0.7201464572899138,0.6559410268819025,0.5109703851068268,0.6326319296513704,0.8175439225998484,0.6417240877205156,0.6732953430433121,0.697829378564829,0.5228163750781182,0.4685874122363695,0.3928813511616379,0.16164900672613072,0.8089383692758182,0.3571775527458869,0.3774519259872031,0.6375434772521382,0.9189859131249085,0.7863038789956305,0.7071168968332241,1.4993329201718377,1.9127843942688418,1.6732774022921069,1.74619368486782,2.533843849437974,2.806316702210099,4.20371903920267],[0.59976898468585,0.5966495178100082,0.9000985455376661,0.47134366900814245,0.4957233238822279,0.4479824181879609,0.39146378650800584,0.4099090433403831,0.4333294314206739,0.3499906718078969,0.3613566072000559,0.43456252124721767,0.35685638630543687,0.3377921955144505,0.36079863677637325,0.36637407312911763,0.37848676737117026,0.366971745008489,0.4290198197045194,0.3600297324902681,0.39701711659353844,0.43318882777268863,0.6002624519352013,0.5989112445741333,0.5880184021820224,0.4420542790722949,0.35499576498786745,0.3047938057825765,0.36349823619475446,0.3422661734129732,0.37575877985172734,0.40023306008671283,0.3797637025206465,0.3698376871661266,0.35811911996332396,0.3369233078443392,0.35828989435919395,0.3411879380908089,0.31124585977362157,0.41114584023498185,0.33233352799566024,0.4245167678542395,0.48915560547010456,0.7484341429266249,1.214213326108085,1.6350203325165875,1.748465190970897,0.9504843936633809,0.9328902597787756,1.0409365096301197,0.8983430767638538,0.7294143319659244,0.7055304648871608,0.5652792598851454,0.9410094523869025,0.5290501717121381,0.5847710059829798,0.7834536306987193,0.7116404780867895,0.8602919747897773,0.6649958208084308,0.5908730598137072,0.4448851690641139,0.5240596022355719,0.5619835136911653,0.4485645000345117,0.5823915202557992,0.3780915956146136,0.5713430477819725,0.5339043226760932,0.7128507828018295,0.9287748739195926,0.5967091471569246,0.7653669882763222,0.46237375586555024,1.0275115517264295,0.3963312058365645,0.34277512387641457,0.37244819987605754,0.4393043676621292,0.3986765143883296,0.4791287438931203,0.7504501024940681,0.4696014333085971,0.5024300432816166,0.41396495350302936,0.36881158818106824,0.45757930889698883,0.3330990490544732,0.45582296047505394,0.36010949781998297,0.5617772644509808,0.48582085925696245,0.3834681740696041,0.3957489715706361,0.4763263916037098,0.6455189013630667,0.4297773276123817,0.4114183801397951,0.5177036133666129,0.3837871665079841,0.5775563719097282,0.3640649794608714,0.4050597349068342,0.40646137160763507,0.41682533925650467,0.5174771910147917,0.5098020430100029,0.40133361911491067,0.6438620081631443,0.43980375809235517,0.33626120591665115,0.35151480320998596,0.3446805315583222,0.3475849010581174,0.3321436319385793,0.366803410222108,0.41969825408027617,0.4582525018402239,0.3670030514454859,0.36918679716729125,0.38489213811623124,0.36897335274614024,0.3085919791679996,0.29839215802263924,0.32370245168795614,0.4509803608129156,0.38617993878354945,0.3461764920691472,0.36219541693015395,0.4661013171479903,0.47052937901911335,0.4266144596946119,0.3985924646454152,0.38058015484987556,0.4809920834651063,0.598215329907455,0.35441296979938763,0.2609653039545415,0.29731279334670224,0.4066048669835614,0.5982271361027951,0.33884652957211986,0.2759387740499202,0.2840516347676449,0.31443112601521434,0.31233644098341007,0.353527720427522,0.3236647793518294,0.3880106805157145,0.42871775443145116,0.4289861660237274,0.49318631375444444,0.819427039659957,0.6839239627395802,0.4329217885146267,0.3941796974570097,0.3983888378473902,0.3518708798283058,0.3644977474120397,0.32520484319445986,0.3170059233910997,0.30620794803818296,0.32248935510974697,0.4983933197725216,0.6400409750566846,0.6015814609216856,0.9396704288391851,0.8969225134729532,0.8628224585073954,0.5456594952033987,0.36851834714497683,0.35644497024580507,0.3693844991502846,0.32782203009996913,0.35136115452925076,0.38556914138977344,0.44396209468808506,0.36565730221885545,0.36221140343553654,0.4429578585086345,0.3586020136299631,0.4240727480975049,0.47938473630937883,0.5082715699411241,0.6473246737616443,0.667658683286876,0.8190091974160547,1.1517547530192156,1.0337767837838696,1.022092643784467,0.8602020188575041,0.8106823657691173,0.7827357461771371,0.5936442073632007,0.6347205099182883,0.6571298535399135,0.6593159819933547,0.6096592467688416,0.7964091843171968,0.5369182335226255,0.4960008719499498,0.5022277369630228,0.46655288832444797,0.4791495094123221,0.515494336955329,0.5794255007618367,0.5743234684989302,0.5237776102653581,0.5946072390084678,0.6552205257131646,0.6334160562614171,0.6940899484625941,0.7784992008793141,0.8910036035541837,0.8225536930923916,0.8214677438286955,0.6823056190702548,0.6547778115930403,0.6485879004098629,0.6183856268329152,0.9926406949297437,0.8020365555839051,0.8994054582774591,0.6257729122193753,0.5711648951745665,0.6171595878764213,0.6724546191106099,0.6808237258632368,0.560852432492703,0.6439363912393254,0.7852264110551481,0.748185702136966,0.6571423764437259,0.8598494398796123,0.8324919566431707,0.786898967463895,0.789605716292468,0.595569089931655,0.743998055297796,0.6830606758283032,0.7172279009190597,0.7531517397614831,0.6837162040561824,0.7709923532500624,0.6396983714504297,0.5628231002618871,0.5891695522177434,0.5833849960928872,0.5390861097710803,0.544609484610344,0.6163598105587336,0.5949624562878131,0.6015293130905097,0.6433577148461124,0.8710779922521137,0.6364856416260358,0.580683649624485,0.556455445603212,0.5155936251917201,0.5293175524395698,0.5610843153256494,0.5112412655721841,0.5003017580139784,0.5070185544961965,0.557552489957297,0.571915150038113,0.554238566906667,0.6428022741021758,0.8026037804178205,0.6880365881390492,0.7316830325520268,0.8022361701867473,0.9606502293945075,0.8332240936197497,0.779673091512305,1.2932597393303205,1.2899465499107734,0.872837112319925,0.7813945907787152,0.6370881087977701,0.6185066025228386,0.8498339965277728,0.6931650146467985,0.841401253001346,0.9221223019409794,0.7345698994191463,0.532781599091364,0.5607127982948359,0.33080335778510694,0.8750809674166077,0.5275183563526056,0.49701176415857645,0.6631407515632044,1.0181300027405618,0.9184719871605446,1.0229783875285892,1.8153735670268774,2.179465615295871,2.123445343441679,2.0756014792948245,3.009636954568276,3.0886550722522323,4.334359559918333],[0.7201084573288947,0.6887368314545775,0.9357734127383908,0.4782061246578267,0.6370606176340939,0.386157305778219,0.3630272540346754,0.3738713484480356,0.39875434598682225,0.3423978676791081,0.33891938417554635,0.3882700089701415,0.3572134633827244,0.34941762086275774,0.3820266050262422,0.38305974414247695,0.4064370178613447,0.37949958916075643,0.4479282854757999,0.3810002813469033,0.4088953464194649,0.4298796977327433,0.5765447817074826,0.5723066666521315,0.568572950138477,0.4414533684879618,0.36052461400946706,0.3256723541659119,0.377189958568599,0.3894725513128769,0.38925226222378767,0.39206154133793414,0.38310842976512355,0.3940720763646182,0.3685741375884252,0.35966450679632866,0.3598950786774123,0.38144685915729937,0.3396864660555986,0.40120461057635626,0.33885315368841906,0.4245651121268843,0.4767044274669815,0.7189850091688503,1.204138278096101,1.6151354436656575,1.7280921363022737,0.9471192625017936,0.9315907427212176,1.0273813498290196,0.8299397947053598,0.8463977574636743,0.727097261635059,0.542516930777252,0.9071369529369747,0.5181060464024009,0.5676496024884918,0.7722141398423561,0.678547681728936,0.8855172414403443,0.6848587745495734,0.6014467303337762,0.47216649102154995,0.5505662404959591,0.5802948468076784,0.47591358663365946,0.5966042351050351,0.4113211443312103,0.6137975453960848,0.5607342139669663,0.7546274899630869,0.9199097261542709,0.6295114305828322,0.8046608725252344,0.48042409677216885,1.0415720414403458,0.4368075937736699,0.3899970462921501,0.42160339040331857,0.4584998419271313,0.38498982997665226,0.5065082505982655,0.7557312479929704,0.46498158509810683,0.5280998429447372,0.3834070216674999,0.3816521772725028,0.4604301643577137,0.360933903479846,0.45292310004044356,0.4109420148719958,0.5972774244827777,0.5273257296086772,0.416817895304298,0.42554492156665186,0.49711137380299764,0.6824450058062586,0.454568672382181,0.4135132899806237,0.4596433594722058,0.39850682899184764,0.5052354953556643,0.3874443604210128,0.4210162245186318,0.4100945839649669,0.449793219665123,0.5297111528964109,0.42148533763401685,0.36654456517066847,0.6056854851658081,0.40156584146785845,0.329101788038448,0.3202220701901119,0.30708686995768936,0.3621752583275847,0.36022710552447756,0.36289487467879283,0.4264290508491187,0.4225349788458317,0.3762921256691029,0.38269422492888794,0.4100275243706826,0.3809005643563493,0.321039974537925,0.2490612304834567,0.2647895052668328,0.3111440581863543,0.3784458136642291,0.3743376716132601,0.4270311577973719,0.4329585319957603,0.39368005678636125,0.3945826812628282,0.399327279774674,0.3530607165310958,0.45988968330343055,0.5587699313975178,0.33808036014811266,0.31163429711673124,0.36169389002104496,0.5689746542887175,0.5874182888181468,0.3740714790566259,0.3180281325362799,0.3166679952068456,0.3573333305866182,0.34034878561843646,0.37337828692756253,0.3148256437462395,0.3905568439238941,0.3897121738399664,0.4244687569414765,0.4761433565517798,0.7910885292308708,0.7085903987387019,0.40721793571920323,0.37573354339023696,0.33410411588784944,0.34664571673108224,0.3465455778078903,0.3632166743781491,0.34438154511278934,0.3211515421831148,0.3354102069099436,0.3954707330068317,0.5658353023762889,0.5230556184676434,0.8818127363611011,0.7777086887298214,0.7487258204583986,0.484957792296098,0.3654040051270752,0.35663666472367245,0.3541256636121767,0.3146064734535894,0.3512189434721374,0.382096816833243,0.4194430432780407,0.37625740786217016,0.36192218790623787,0.416974729528769,0.3626425908941747,0.41243995481593365,0.42241638463924996,0.4425048365608496,0.623033902093271,0.6599108575354142,0.7698787710132275,1.1791351857863441,0.9620495398392285,1.0085730145909575,1.0456969850750089,0.8174685484578357,0.7720439745224825,0.5637104507562936,0.5267013952589614,0.5845236337011517,0.6480886723225042,0.5868291455916959,0.7817584182715268,0.5512378761530042,0.5840212787194776,0.5693565189387134,0.5035992958255364,0.5227324015921991,0.5572887822847803,0.6363787519006935,0.5987223267888726,0.5715928986105941,0.6488451663372281,0.6998778430193684,0.6714252074516882,0.7586117177645526,0.8769560193415493,0.9184499741043458,0.808077520254881,0.8652668875087244,0.6722819224601229,0.647824729828159,0.6500559657572086,0.5972387602201835,1.0907361780374916,0.8195284892014375,0.8950884778242755,0.6512677960293419,0.618464844393695,0.6628391990309945,0.7039613256840296,0.6336210048383352,0.5481664539735626,0.6807248971930094,0.8095629343309543,0.6815368166181254,0.6347412615118839,0.9754837546558269,0.756983699216105,0.7310807739598946,0.683859465189211,0.5684059145901171,0.7945975985415465,0.7565541456644226,0.8183993742076972,0.9058788649007548,0.8676227982347906,0.9558230211741344,0.7846857972377821,0.6819683781401804,0.7839291405551438,0.6906809487185219,0.6066803835959903,0.6150163101242984,0.6932994179184042,0.6515175376657685,0.6448867035403449,0.6884975032837626,0.8946423882530203,0.6823988437630619,0.638488433020277,0.6195570596057322,0.5545460389347974,0.562370533930395,0.5770386771204595,0.5144260899062759,0.5580307888291292,0.5257131585086142,0.5451803320100149,0.579558064199196,0.5431083611725123,0.6024971946207244,0.7083989383075667,0.6308870462915813,0.6609531998607772,0.7167013276830334,0.8588281081816243,0.741980139603791,0.7214234928238795,1.256526841977603,1.2715617395556125,0.8653570640872725,0.7956130429969119,0.6468556018140923,0.6758153297109577,0.8897859279134993,0.7092549659920443,0.7977744998956979,0.8329053980482524,0.6816808715415618,0.5838649901808907,0.5370284155528418,0.42072825490148136,0.9842577540735797,0.6443220462263749,0.608813055693517,0.7477004540005274,0.9482771427376275,0.9112077617748544,0.9956159344256416,1.6666653721382354,2.103099169026406,1.9043986493310512,1.9645422829882464,2.9488306812828693,3.2159664289102783,4.702794457845283],[0.6646851579844819,0.6131267610295595,0.7747858031690465,0.46044561319234156,0.42443758452734126,0.3314550554755264,0.32265646736812253,0.3218854587030932,0.3737358179337465,0.25691481628881935,0.2523834957904856,0.33771275271577217,0.24971277055202662,0.24710650666219108,0.2956441644266549,0.2712294789293714,0.3024310109608221,0.2838877825746225,0.3703888596106326,0.3105930198910671,0.3363271435313785,0.3732262966135122,0.5060222350206669,0.5414626731462615,0.5112589820629209,0.3966432058501487,0.2917329064248451,0.2442778955556169,0.27554097735003746,0.27332676451633364,0.3028117565052854,0.3073496065037816,0.2851119368806205,0.2786893473778073,0.260074489388594,0.26331876281883493,0.2707961598715328,0.3064458803636261,0.2631877643443367,0.3087023732891779,0.2947325810349326,0.3842041335724653,0.4065792682462996,0.6821545767294547,1.1620350560613044,1.5751496198268293,1.6561153649051537,0.8951364738320269,0.9046753439450976,0.9690478441360932,0.7721431783540953,0.7942132204875212,0.6882896398139847,0.4547910550050507,0.8640403935410237,0.42868612875171397,0.49481527986451723,0.7070484865576201,0.6618680067102194,0.815085434229269,0.6185147195613626,0.546799167730682,0.40562995708373156,0.5146834955841846,0.5203836120512568,0.4129706963695034,0.5840838804186957,0.3527519763487499,0.5617391455299242,0.503525045361646,0.7063641675923904,0.9094586009852528,0.5852985160137307,0.7355902537623392,0.41338129522878964,1.1171749312841404,0.34837349655139493,0.3067980214153654,0.3272297211605829,0.38717580428376003,0.32968146438934476,0.4529292634773331,0.7501989433288871,0.3563376737071669,0.46767065543593495,0.3092619523769607,0.3150191797618009,0.4069129135992374,0.26950417110384045,0.3947980933272142,0.3175368797322189,0.5411737926923519,0.4527675904958863,0.3142709122285031,0.3193528400369826,0.41559186594483094,0.5837329016406534,0.35931495110153183,0.3319968976350373,0.4536286255631415,0.32254634634891355,0.4896273389989029,0.2961371558948136,0.34656206160935754,0.34850237704664666,0.3784816343120626,0.483421069866729,0.38843298908255336,0.2956033876363945,0.5820062588926382,0.278500188783204,0.22650843743499757,0.2578203454616924,0.21408648466847233,0.21639582754449466,0.19388336242880486,0.27959259941635406,0.3805590498735276,0.3647210846355707,0.2855438967118441,0.28160506223609694,0.26100725668917635,0.21600453878979384,0.1496488503917224,0.13286327720262306,0.22530249477609024,0.22965188589757338,0.2761755478119521,0.26897091777282367,0.34354721153208984,0.4182798887530491,0.37407244870245815,0.38916827004643895,0.3455153299401746,0.37403849445720155,0.49335852349974435,0.583327079676963,0.3353795691058704,0.3385343343248434,0.35237610320617985,0.6363079452300432,0.5743786265172982,0.34571918163781257,0.27208597081949604,0.2548141672126593,0.2748017858339246,0.23768994578953817,0.2634405874494591,0.19009862267870903,0.2988912804009525,0.3681188758970528,0.40727299022569075,0.47026173265974985,0.8882260914904211,0.7518404769169531,0.3879531100501464,0.298769742724101,0.2932367575245963,0.2351418013108832,0.2556462338128064,0.30123750995659937,0.25374418427761775,0.2525114783995527,0.25990914592663905,0.3508066233427663,0.5080034098976421,0.5158544682504084,0.8646364000240125,0.7877970346079342,0.7750226472245796,0.4915856737913274,0.34003768121329386,0.308640394209711,0.31247096206582137,0.23015251776394668,0.2681179585100998,0.30324124419905524,0.3983939164148777,0.2887066588204799,0.3103532159696609,0.3357054524353948,0.2784325848858264,0.3328279955486807,0.3749232682142409,0.40201076367698946,0.5678162252910378,0.5882257654145379,0.7359391480081342,1.177144031739522,0.9259879355620715,0.9547333308453295,1.025980572977794,0.8030802539071794,0.7677488269004106,0.5576534636777046,0.516967312522489,0.5824929079297954,0.5787574276400445,0.513255163972055,0.7269747968668859,0.4841865729449969,0.527546924271609,0.506436681417227,0.46301380805557113,0.4963502621107815,0.5611350981605024,0.6771783260774313,0.6116062652190167,0.6021416026788987,0.6915521906362084,0.7447952591075617,0.7266722605568111,0.829112135565443,0.9290481534785577,0.9647105914151649,0.818892203338569,0.9314750293243399,0.6698353621490618,0.6671526718331448,0.6666500877848194,0.582882568535684,1.0787776711424415,0.7590655874299885,1.005974807884241,0.6085698918898438,0.5889540313280041,0.649062387792139,0.6608640392667229,0.5568801317020085,0.4833621034283822,0.6200930659591599,0.7114346045949658,0.6381634468152237,0.5698595689831296,0.8739988680092564,0.673077447777954,0.6726371552366429,0.6524928805251038,0.49685173628091484,0.7010325109439185,0.6602430424104796,0.771172395063058,0.850676366046133,0.8098725166873236,0.9143543302623179,0.726129797121038,0.6341964419752213,0.7899253405007308,0.7165811309756956,0.6094758809605023,0.6621433764927155,0.7399537239418015,0.688768258450718,0.6738237973015849,0.7681742630808498,0.9492380981996258,0.7398412432989768,0.6978369013591184,0.6599008251476602,0.5690499986707037,0.5580200460302561,0.5588106763651773,0.5168143165527159,0.5491722803236804,0.5039169325131849,0.521636218127001,0.5653079302357286,0.5122511152267502,0.5451311097951804,0.73445051165834,0.6392205854220475,0.6365175505845034,0.667680920489356,0.8750122045752267,0.7588354861711493,0.7270624555013387,1.1820817171527342,1.214751885644752,0.8668953917867628,0.7683173757591326,0.6189950230227158,0.6193242878254128,0.8349688095822722,0.6862117858256139,0.8326396455312242,0.8807590167724878,0.7210001827738466,0.588594307432098,0.4910487217501996,0.34991814565141954,0.9020967607487531,0.6973581496041074,0.6265641744169164,0.8835576684592626,0.9294599107213299,0.9168745393748877,1.1424133852980272,1.7786608545426916,2.1521902804920554,2.0151352524881254,2.1191344084209147,3.2167481145690986,3.486729039572678,4.968469506123502],[0.6288965395628272,0.5842578704094166,0.7007093481091844,0.5068672557479625,0.4141321292521869,0.36503170915174415,0.3301299252208538,0.30564768791835656,0.3224438149947714,0.20225167517372244,0.23131105812118347,0.3091381384813249,0.23213527609266765,0.24155990854911136,0.32482912565641137,0.28780722248884794,0.38874013721242767,0.39517374870594985,0.541504223689927,0.5005355902978958,0.5281258974159203,0.5657204795380107,0.6868415960860957,0.7423119595077925,0.6695096460547242,0.6015858590454414,0.5370494698337427,0.4229054822774751,0.3973491821757942,0.3645869279593926,0.3537008294515794,0.32286743118675076,0.3346412285828746,0.32846719753305176,0.31835193426390135,0.3899775831230796,0.351644273744096,0.44684582659045563,0.458705813054499,0.4689121265931986,0.4941205818573325,0.5916374451116736,0.6168113136095241,0.8417461868564398,1.320946365968318,1.6558150770837847,1.7935837197979987,1.0886028312567462,1.0476956283426246,1.1407387865731509,0.9297514646361864,0.9424487562404964,0.8428792158806436,0.5991318325359691,0.9564364653068737,0.6167249980567644,0.6338829664915507,0.8455736899545698,0.7480729545011696,0.9112716034296306,0.7747936897509706,0.6618735290094819,0.5642701192668481,0.678430277076559,0.6787932011229717,0.5630664439063624,0.7141412309946071,0.5002708686879761,0.6828821286140186,0.6016697469846917,0.7797733778936885,0.9784580575442293,0.6731377864568088,0.8659753460035681,0.5209863883557382,1.2727360170208435,0.4879920421791018,0.42119469636132517,0.44881970203771165,0.5363000107902175,0.4497416815736127,0.5618921150230782,0.7808580915362335,0.47464854811267554,0.6139374885249068,0.43536510037538073,0.4697644256560419,0.48915776719662507,0.4355596259938031,0.4547857980422903,0.42248397865340276,0.6179612157142405,0.49912011260384714,0.3557231566674194,0.33855755214528366,0.4761275621427635,0.6103403802042321,0.3810003733472381,0.3491275906479081,0.4919371946390909,0.334000758943603,0.4896687348633105,0.32881043826581796,0.36669476864382194,0.38807147155291094,0.3952587885441209,0.4873909276821273,0.40185942776441275,0.3254563292895994,0.5944794907578842,0.2826977969049265,0.28625719907548497,0.2932238295741657,0.2877107526231877,0.26021279562000565,0.3412315552208931,0.40268822854416403,0.5419134510191744,0.551700251752449,0.4178647006376694,0.4372581416542055,0.3640610486654274,0.43135336263974605,0.28202897850094943,0.21552571401593437,0.285124870031045,0.2666493958826642,0.3163170541736724,0.32533770251247757,0.38073548836736787,0.429176504342204,0.3854148742662319,0.41614238244127355,0.4099063553559702,0.40614292369707305,0.4732839770267323,0.5783379663982515,0.390170842517537,0.4049082822324007,0.4966642426715573,0.8400825578336267,0.7502112413264213,0.5321142159805637,0.4559161674680167,0.43170349564810895,0.40905367290902506,0.35884953510631185,0.3503461523464405,0.26198056465687614,0.3028016205058086,0.38140128912692484,0.42714364092912244,0.48999516501685697,1.038690243964811,0.8341432212956554,0.4176759173798076,0.3095090478166408,0.31684170292944286,0.27041951572120343,0.29472421381373043,0.4240716919536301,0.3637247456319869,0.4168745548730129,0.443333944079811,0.43502621746509645,0.625748805776005,0.6261898064618757,1.0239635475796662,0.8425893411165166,0.8130413375662737,0.5612478264241564,0.44658293066132115,0.42435720672586075,0.40405982246434013,0.34971628976436,0.34031401392896377,0.37766384612628395,0.4746152547860249,0.4140720735749894,0.3908777579354421,0.4452620946378618,0.3475184223682844,0.4103764155105151,0.4592340816061385,0.5091001697430678,0.7292873226983512,0.7543290863761248,0.8831736530803573,1.2889845354536287,1.0528122728863163,1.0793912787640656,1.0809010267845598,0.8354166756173637,0.7878989658970023,0.5874391460679549,0.541121610955565,0.6000500969789859,0.6046211095128203,0.5342226224741019,0.737365197250317,0.48934230724717886,0.527511763055784,0.5046609333541002,0.46348279074125026,0.4987194438952811,0.5717655030872848,0.6927574338236239,0.6288281845991707,0.6237825262269776,0.719967060049582,0.7836413953025619,0.7774530952224835,0.8878484010620247,0.9851381182422431,1.0354363011438763,0.8820288417652906,0.9863900014448743,0.709555754685663,0.7031784167011825,0.6982162171849348,0.6186428384054371,1.0923609982581193,0.7914287341660107,1.0123948571800023,0.6150048085685217,0.5861958253973332,0.6561828426264491,0.6761727377578738,0.5604938036664501,0.4941911402039447,0.6341214466362889,0.7427962259039199,0.6657701144697802,0.5973022033359395,0.8997649279155959,0.7348564629696451,0.7189877591449185,0.6770743182526685,0.521206808100006,0.7349910130570528,0.6852651335086024,0.7821584524885867,0.8709058406246504,0.831881982079258,0.9329548836953794,0.7419953579452097,0.6363847491360194,0.8006704861484183,0.7249381479958587,0.6209325452192331,0.6932182008585679,0.7807399619815433,0.7219350854719321,0.7110753347194548,0.8219014073798808,1.0109978394899566,0.7927294984740767,0.7495431107074967,0.6916400039140163,0.5840278831748236,0.5654613025319389,0.5632419875296184,0.5372999993304336,0.5583256885473018,0.5082899434050505,0.5366580826872515,0.5820643752468282,0.527739251366853,0.5734198111950436,0.7721949744558271,0.6565175150817913,0.6599936854662988,0.7031922213438547,0.9074815566406158,0.7868112770204437,0.7305067020813436,1.2020425876028331,1.2000190571308305,0.9081316902137728,0.7918638676727795,0.6500688202787371,0.626549918705473,0.8280989117840262,0.6924773323346767,0.8522816229627845,0.8936524688226889,0.7338303259656477,0.5849999045534603,0.4991832982016961,0.3627744698267459,0.8974084743595973,0.6914543240780192,0.6181385689199004,0.9499064135018264,0.9163412242295966,0.9483765350928913,1.232521658765922,1.8169469205401707,2.1975794726157813,2.108382697505105,2.2561301900414508,3.447568533559198,3.7433331881610394,5.229464452567734],[0.6989758714450265,0.6082303372324823,0.7426703031103844,0.508765848156716,0.4299995701245038,0.420453425962839,0.3624729453847146,0.3053981820962362,0.22739234126168473,0.1648775255039101,0.1794836271060909,0.27840099752952613,0.20995809200085558,0.2001038143783559,0.28065283186003204,0.2446132000619735,0.316910209328556,0.31848700381766376,0.4106554431482109,0.38279231680695136,0.3976987448753119,0.43174676005171975,0.5538496078311608,0.6032934330000046,0.5550888262070666,0.4802294455264719,0.3926552007778876,0.3245887498685711,0.3236062355035887,0.322237262071461,0.3016571373394547,0.29604459938829275,0.3034729791890993,0.28947498683952705,0.2674287865618746,0.3188370623509666,0.3236709134900938,0.37551004940648347,0.37026965894415903,0.39420261312920185,0.3777935990814767,0.4776381134864604,0.4692428493656043,0.6945332764478742,1.1107490790398717,1.4988346097775764,1.556095265920407,0.8942417937618253,0.9263590718270959,0.9460312514292007,0.7939791607990265,0.8487879609487196,0.7377438709302306,0.48788506537611576,0.9245770067291975,0.4778953355845541,0.5165801960100929,0.7352878011536231,0.7175369775777884,0.7950701403023575,0.6501604698733829,0.5893597710197964,0.4907616777499893,0.5817472130172523,0.5566443970669694,0.47101334753490326,0.6240600159171323,0.4119468809126977,0.6024238297648421,0.5208265394976028,0.7131071277619903,0.9188662769669814,0.6082715705290075,0.760810047465606,0.44528005106436014,1.2097140818246563,0.3943829522913462,0.33426127263786415,0.3648259984670803,0.44644939735785344,0.39301916313479274,0.5282041323095531,0.7945072480484522,0.41200985912649574,0.5571997925153951,0.3741553407213481,0.3957615105722873,0.45711646233306147,0.3355254496113899,0.40854124682403764,0.3433117679877964,0.5514369744688784,0.4486209664690338,0.3026278884655297,0.2933377400127694,0.4237065002990723,0.5861828417955357,0.3459347469372651,0.3200357493970752,0.4689507790219673,0.33654818600806496,0.48672982648577817,0.3484325339446984,0.38161727223567266,0.4138941179167659,0.43354510996639983,0.5380464132377049,0.37780930129016327,0.35935347746444135,0.6525392674931536,0.340115689760965,0.3536008799828517,0.3496782407330551,0.32908583875047537,0.2823043201027377,0.3166961673989689,0.33019279166477494,0.360868757222311,0.39770707555971846,0.3641178983978327,0.3292782711674604,0.27384518920418033,0.2743668824321461,0.25499196353728604,0.28644019278037347,0.294839497953879,0.39831579604917194,0.35178693771405867,0.3720210828419473,0.42111447862168216,0.43128768075538826,0.40176489231814344,0.40658596735611247,0.4352392006806655,0.41864263512434474,0.45634206721837345,0.5670618666979967,0.35703803226895003,0.34838244103015614,0.3905175059136072,0.695933769630251,0.5410467030657972,0.4217896673115826,0.3429196761541075,0.3276049079267858,0.3454447113960222,0.29675607084537303,0.354650835560472,0.31355007628733833,0.323612395929387,0.42206044786346747,0.4417747806301162,0.48924298355381374,0.9834461744046161,0.8266710352439025,0.41310731146277696,0.3275280541627547,0.33170575698825977,0.28858063511165366,0.35059882064121883,0.4284815763633578,0.3434534270890034,0.3407591849279806,0.3649685653604086,0.36988238306745697,0.5051995673453503,0.47942885847498173,0.8001338771742648,0.6938352929498439,0.6945098991738688,0.4753594544200991,0.38270591010265115,0.3725789078110259,0.3848058096141918,0.32699583192412773,0.33981298204035604,0.3625386165693715,0.4915935511026109,0.3740348869351557,0.39433655355371383,0.3940091611307712,0.36944105507476566,0.39412593699324866,0.4068779100230101,0.4386703519295904,0.6319327725668468,0.6404086066232293,0.8054240395644016,1.1879419015505874,0.9074438323694785,0.933983015270789,1.0657854975784065,0.7702398771246618,0.7248117734489822,0.5378402797734579,0.4851617516672854,0.5873601596467479,0.5614991850265892,0.5148723129125383,0.709271414063391,0.5179794751928649,0.5862531885080102,0.5400705799043044,0.5000923455454649,0.5503056753381487,0.6056058521197109,0.7098894775605873,0.6381657441645276,0.6577796713268514,0.7317317451361746,0.78842128413521,0.7794822886657629,0.8896524457394025,1.0059183948784702,1.0069039862015168,0.8345065829727114,1.0022151643298138,0.6987023624398759,0.6926797601203992,0.7008524283250954,0.6182351575304044,1.1958711590878002,0.7732573250403029,1.0527687797142569,0.6557868902939857,0.6807963688522461,0.722197879981908,0.7369929331181896,0.5820516822742298,0.5212252000733626,0.6702307275788529,0.7261555244282656,0.6205623179113385,0.5721527479774642,0.9476296089029687,0.6432861795261313,0.6642810465073085,0.662081784840822,0.5096585217706423,0.7351263333596898,0.7261615327661789,0.8540517596048309,0.9616172834548435,0.948302862090652,1.0466004803827769,0.8228151875995904,0.7227499112823786,0.9337972263985368,0.8204359822430183,0.6903140812302696,0.7517323850230384,0.8241574714862676,0.7575476384846488,0.7560164879210639,0.8556210076098314,1.0164256527541362,0.820369182485709,0.787205606429339,0.734341279616147,0.6411560150031717,0.6275804633429563,0.621528537643969,0.5737989074258467,0.6000263097103604,0.5503703764210225,0.5567000355625908,0.6033773620196088,0.5460175860536484,0.57076925761342,0.727207186789934,0.6558622508131594,0.6263922804626886,0.6585340014782686,0.8766912637826897,0.7756233935568245,0.7385360459826487,1.1586866205016755,1.207668184463749,0.8976476165346844,0.7923922540636461,0.6351854891860564,0.6479629708092025,0.8614074939977714,0.7263738432469702,0.8598778431831035,0.8930806991307165,0.7050909642426237,0.6197866347191802,0.48825432936868013,0.4096109286941374,0.8671589862100594,0.7655524620943004,0.7046023998451842,1.0149364660722984,0.8489570519206932,0.9019813196728649,1.1446431267887323,1.6243923118871666,1.9962946797834713,1.8234651155328707,2.109864178198119,3.2711981061507798,3.7544469598006414,5.355832808202291],[0.7087952709644653,0.5894468194079976,0.641497684329684,0.5847085751169827,0.32806684399518676,0.37756297238013725,0.2708240414812906,0.23802038162060163,0.21858261025057807,0.12641812777493058,0.18826600873540217,0.2898776272878087,0.19100520214788924,0.19889266148970391,0.31192111351234497,0.25206082520884665,0.2975432307355357,0.33891947286907853,0.40567174083207175,0.38523674649344697,0.4109399111682663,0.43001040090767206,0.5390184422887692,0.6040426686009321,0.527907098398532,0.46770798457805857,0.3648996692945402,0.3255052640356859,0.32674417496134917,0.30858421714460216,0.3321978088636155,0.3190579845853214,0.3398765391811538,0.31543435993662594,0.2891496354147868,0.3142813730832914,0.32676540433529405,0.3481824712915174,0.3279192948768504,0.3459855898546043,0.3263992561146939,0.4530715411563121,0.42288946286499784,0.6427637324627976,1.0254497342649715,1.4520825152288823,1.4475976553937768,0.8019243140281336,0.8915592364484697,0.8619256824265686,0.7307981704682184,0.742551670036079,0.6663040426173924,0.4325634202587523,0.9464985659232066,0.4420992212854974,0.4877358688985505,0.6743408693510787,0.7568266286936222,0.7446884984632058,0.6226064981649452,0.5981889401980129,0.4990363354459741,0.5921776896708141,0.5080909908644301,0.46377476300842796,0.6367658394054361,0.4590009212644897,0.6378659096968999,0.5638976834967032,0.7871486406456158,1.0207113055151773,0.6766819776263513,0.7649739123166437,0.49140311754358856,1.2623430039901558,0.3932991502991272,0.3541286688552626,0.3627621249367227,0.43158539888336434,0.3925727733836001,0.5152145528087427,0.8537772097603907,0.3994429039788677,0.4728070277104272,0.36979708750438234,0.3678028945477339,0.46817688081695674,0.32662276811370855,0.41653382213273354,0.3587978284999796,0.5555774265309955,0.44811927403233165,0.3006722907570369,0.2976005207757105,0.384563109042772,0.4805930333660989,0.34594720445169463,0.349740084590293,0.5379782665945397,0.35621931310462107,0.5311553421540067,0.32639345011957005,0.3769780556315092,0.3911831281214557,0.4078775859924471,0.5747031923423548,0.3313251414933127,0.3152939229774387,0.6192607089214528,0.2945837696247322,0.2600585958981146,0.2522816053812169,0.27681140487388467,0.2500200968614098,0.2850970646423817,0.3333496916527685,0.34355647021704205,0.38676651153997876,0.3971874991858091,0.32091783951438924,0.2635389190016644,0.26635652728266446,0.26283328065953204,0.2442025135757295,0.24752312014751135,0.363449892965032,0.29858010858106987,0.2877228536335574,0.35286287428199725,0.3622744284016729,0.3512422604557737,0.32748363897195776,0.39322096665432094,0.37248161424717574,0.41444103217435285,0.5599151965717734,0.303290352910839,0.3286052384661418,0.3503666770613179,0.6594303869384597,0.49657603529287353,0.4003397358100891,0.30396012030186803,0.28143800933287455,0.2904307744596398,0.24686285206880396,0.3105283901560683,0.24985520749153553,0.3054754849344013,0.41077761543339514,0.479323810156184,0.5788289403023238,1.2223190845619825,0.9052314841076775,0.4733073616423411,0.3374057631925049,0.3607039859035252,0.26667699112376914,0.3252989160583651,0.35421850700731927,0.3155827193018737,0.2803761217773991,0.296776299739065,0.3582549550397596,0.46886019381311456,0.4243304139947075,0.7098726239700444,0.6551843161879577,0.6743587311983469,0.44259557295795243,0.3399503109852947,0.3153186558275837,0.3206366088735045,0.2728700903184196,0.3374030165244197,0.3341724334042966,0.5341442238207504,0.33387050113405875,0.38643143480251796,0.31552068381026266,0.309734934885782,0.32015564016229353,0.3106486299933698,0.35706292364094283,0.5365195991171753,0.5433054168910882,0.7699234341924244,1.1298174062971682,0.8460470639264163,0.8501432085525124,0.9666012409940193,0.704729578027188,0.6560169597140719,0.46071281292258004,0.40344224820098934,0.5490894079936852,0.43935561665682804,0.42982893547316664,0.6275539641303853,0.4743188021951096,0.5775997231602836,0.5042056555081755,0.4898577436993032,0.5565237407230575,0.6120293434050237,0.7334402784967244,0.6592835954500514,0.6908822840416187,0.7575942778920912,0.8332737113334193,0.8323190582498783,0.9372908718537988,1.058278736971318,1.0567492116754438,0.8634601187905082,1.0650692145505782,0.740242360689417,0.73658064621937,0.7425232976847196,0.6519013748246005,1.2482701292567007,0.776808016005029,1.1833568752734887,0.6642352517837349,0.6925038717467551,0.7340116428348262,0.7264515715373039,0.5579768952180784,0.5061220350259541,0.6383601261622451,0.6370608816065568,0.5799167078346185,0.50737579464799,0.8648980520168973,0.5586389340152376,0.6111736983856567,0.6417785251790987,0.44873708439708515,0.6275843914935031,0.6505924396257742,0.8298229347968484,0.9439032568308389,0.9358654061899243,1.0571015459409343,0.8166245888891941,0.7255522595008888,0.992145665662835,0.8622177312026159,0.7224560703006916,0.8170923875042685,0.8939405600712071,0.8012595607495789,0.8105930034451992,0.9371596267270927,1.0713973126996985,0.8751269642168534,0.8529110073291867,0.7908425474160394,0.692215792737111,0.6565598671047744,0.6392376277812666,0.6309701341454625,0.6364118534764717,0.5780009078922944,0.5814534301200561,0.624487573340243,0.553259599726316,0.5602856429940226,0.7399246155628306,0.6605339695703755,0.6021438807279704,0.6210592665175667,0.8432552077364925,0.7487565306040412,0.7517659149733267,1.08717017513256,1.1786094872942485,0.959952643369856,0.8154524992207899,0.6587929356649151,0.6577948002266064,0.8869047855708853,0.7693041410805611,0.9024576426605713,0.9346067085296899,0.7112371496567974,0.6663067866327002,0.41635665025675017,0.33279776401996297,0.7800967617159299,0.8340579081296637,0.7365952144462468,1.2381618518050415,0.8253265130717069,0.8934956326944512,1.2522306145653936,1.6515339388725327,1.9298377718963697,1.8419995272440484,2.1930366929784277,3.4139026291405568,3.9449974669771826,5.532829779118026],[0.7346145047761157,0.6041463076639881,0.6255569105573532,0.6058490427209257,0.32698433549478345,0.3831666034517952,0.2684153316098565,0.2545984378566107,0.21175157959502378,0.17937153428089395,0.1475094823566102,0.28116781891675785,0.1874820573233269,0.20826612910737677,0.3607044550754553,0.3005318862192703,0.35918160010847433,0.4159283852722119,0.5082838791919968,0.4813158030910429,0.5170576266065595,0.519854605035648,0.6214361280541535,0.7217812988777347,0.5901879556332505,0.5618635845721569,0.4482542275486385,0.400343144318227,0.38599465061398525,0.34265849853946284,0.37410178783615605,0.3326914174455862,0.40497393639037876,0.3495705343400347,0.3126434433529382,0.361900056905072,0.3493330646023973,0.39588173092144774,0.3940843122049205,0.3948727008043594,0.40240867429935195,0.5274852043271929,0.4858154621002423,0.6794628748609916,1.029285093702051,1.4209149833792265,1.409103030727193,0.8222099460356586,0.9161624291182328,0.877656402728423,0.7514106612396627,0.7880494531669149,0.7277363979927262,0.4796051311942214,0.9835717042739925,0.48985633139332535,0.5311795776722902,0.6872224876303975,0.7828604729970673,0.7612414884489683,0.670930388911503,0.631374746947476,0.5568172701371706,0.6750871494638517,0.5613868137317188,0.5250669477821397,0.6989959202660629,0.5485036763402056,0.7384148354441663,0.6355048907993984,0.8789217178876246,1.1220242962372202,0.7484933565008276,0.8312840560684639,0.5453426299677728,1.355677153744709,0.44928867403723527,0.4188403725509644,0.4094955300782296,0.4619316675472958,0.4320116173535403,0.5642971307573773,0.8485483532709541,0.4477793532482399,0.5024148890523924,0.3953178915538867,0.40415088224975876,0.4836904142832468,0.3891291301327419,0.43734830250181667,0.40985913150697617,0.6047358900028404,0.4937069335002161,0.33543093708929633,0.32626420169676074,0.41240210141005773,0.48043084732321645,0.3620756833239695,0.3653798464546807,0.5868742547736715,0.364486538645938,0.5089603674980847,0.3314027563981492,0.36895531536503245,0.37968436955811724,0.38073817125835596,0.5488394127457625,0.30970733815824075,0.306104348147219,0.597211995491757,0.2889846103457736,0.26263031006013854,0.25213414969484166,0.29422884487981815,0.3020511564939129,0.33437256114113384,0.3950841598337795,0.4034383679754157,0.4811039873642042,0.47851856158525025,0.40851011587513364,0.35115973642460463,0.35155448411024415,0.28506569339860083,0.2389810148849681,0.2515251933548777,0.4106895176883109,0.304579901086118,0.31455627012691917,0.3566484129855241,0.3601663500258035,0.3422234518248612,0.3416220131772273,0.40317625915534905,0.4094122801235511,0.41540590871683797,0.5668143494912767,0.3360192889036451,0.36047874431005444,0.39184718160668425,0.7144150134738068,0.5622934083203355,0.4720573187331188,0.38486097694133276,0.3546068037013953,0.34637154087175226,0.30549087501610556,0.3180927813288428,0.2722567303286417,0.28453715759615517,0.3812038455685642,0.49516195621375303,0.6006738854539221,1.366113221648143,0.98130933221934,0.5103428593701278,0.33690620711270997,0.35191418215303844,0.2629954579218777,0.3146710933384957,0.3728231721331802,0.32709259862794027,0.33043314147894937,0.33799249181245183,0.3959644496620412,0.4915585617308068,0.45506759192060414,0.7165017929029699,0.6610679598996694,0.6796882942959513,0.46686050284275715,0.37931932020432263,0.3296464196237274,0.33252934343990803,0.29207286669718346,0.33149698123382443,0.3507719714134022,0.5558280664364059,0.36121816099816345,0.41032514186244523,0.3314251631008175,0.3072259310667477,0.32939668188357973,0.3184907433097488,0.3676398405968866,0.55767649491106,0.5669878979482365,0.8142197366540882,1.1537708453540665,0.8544371583329846,0.8715052579815296,1.0199149319674634,0.7253318857888033,0.6603717858495002,0.4682496315369005,0.4050133403629743,0.5609862175304222,0.4332726555848243,0.42503023021270775,0.6035617852523701,0.46598309008806804,0.5793690429556434,0.4930515586951662,0.4828418407318213,0.5559609455046485,0.6054801132937268,0.7255956906075992,0.6510697494493766,0.6922583420057807,0.7566409822814962,0.836687910412488,0.8426649847057137,0.9485409067294907,1.0833472070751415,1.0781716492901396,0.8727785756151155,1.088162018214963,0.7479961832780385,0.7367511508103587,0.7432659077371224,0.6481585902535065,1.302104494821001,0.7712111725454214,1.183378897351013,0.6545648536297674,0.7047665130073976,0.7572007328136265,0.7700629508999364,0.5558887832186183,0.5043584281407053,0.6620818491067936,0.6482509019357153,0.560673545602948,0.5006775291347734,0.9102214493142989,0.5375148007537546,0.601365183710567,0.6187961055132808,0.441137092946325,0.6333020538890374,0.6711508450518265,0.8634420343840787,0.9925654396554403,0.9938341925425052,1.1055780993847186,0.8510596310874212,0.7587419491946842,1.052218999900262,0.8908121748842569,0.7367935357037046,0.8459995929483068,0.9194812188316739,0.8119186152732795,0.8304587385403627,0.9619381796924722,1.076992005427027,0.8912464733131868,0.8740306382626756,0.8058414126613394,0.7052836023974967,0.6702489413602607,0.654464803212319,0.638241125580875,0.6398780788604576,0.5843544874905792,0.5774222101116091,0.6206841323510861,0.5452571925342791,0.55001262791557,0.7202253200302343,0.6521483888534019,0.5875630932873585,0.6051338301453268,0.8291428451168915,0.7422384727268466,0.7525204485939687,1.0833065423668753,1.1789898339269151,0.9685184130054003,0.823364421801827,0.6614568433822448,0.6708586906594427,0.8976516791725073,0.7747053109802725,0.9037705924211152,0.9342909793168623,0.7027831282945123,0.6624958640667,0.40262590305239787,0.34021501804806265,0.7443501275662004,0.8245415746496682,0.7379266193036628,1.256716842742433,0.7833659264063653,0.8744597623260894,1.2143329075386793,1.5249491988653925,1.8235448650162938,1.7279351175991253,2.1400341391010342,3.3767337021919013,4.036769902836978,5.673942098934656],[0.7302089027457014,0.6399972368571337,0.6687425414870586,0.6538143573643779,0.41940326579580617,0.40199834616258356,0.35434677858909397,0.32465802897145396,0.30026384408697016,0.2943262447913675,0.29747962050007565,0.41752354117617646,0.3532809794787892,0.34911763532655693,0.47526959458228185,0.43266934701486826,0.49621360376372564,0.5422180171499063,0.6532125337446674,0.6246902363850664,0.6617303519937596,0.6675760539234517,0.7527425420132469,0.8489418605628172,0.742167874521448,0.7252089482553234,0.6162777940472075,0.5289919629067137,0.5127343223016253,0.4645585778594899,0.49480230466331454,0.46081180417984047,0.5799950150863146,0.5107320916639444,0.4586975051983995,0.5012466144264187,0.4761506611824108,0.5392223547940982,0.5538494894137651,0.5527208790678197,0.5704630872881546,0.669510868628965,0.642770140921435,0.8233691911998411,1.183188813822728,1.4992529732040905,1.5680120632755319,0.993299420031394,1.033757645853142,1.040982596122136,0.867186800884114,0.969313375413978,0.8976429679666286,0.6336880884128928,0.9993179705165721,0.6136709937812993,0.6405398170189014,0.8369559851678244,0.8264816020012751,0.883591632671244,0.7734651238636895,0.7182374407861253,0.6593877289502265,0.8298103989862584,0.7187210212299106,0.644163354966058,0.8262709122834085,0.6772702911102135,0.8579619253469916,0.7302232663111604,0.9501087529980516,1.1881416502285884,0.8363967658685477,0.9701136058754778,0.6703297724714936,1.5051611469054713,0.6034523473310625,0.5743144086562119,0.5731819120499079,0.6025334773542087,0.5781794485328529,0.653205266701782,0.8501595833047239,0.5372780103799628,0.6498369365549939,0.5074021709366514,0.5506852746060092,0.5921845979950418,0.5530633543949038,0.5683660734479535,0.5786863352304443,0.7325290611603011,0.6161884103948502,0.5078531880451128,0.4801377552757782,0.5950014714868063,0.6383337599645816,0.5163899658788783,0.49572275453872217,0.6597559165865305,0.46703719988810993,0.5446075202831501,0.4398554432890189,0.44350120355570294,0.46560025608992045,0.4574389253071362,0.5744747758346257,0.3929782309396402,0.371174346090121,0.6208208892215197,0.3621826300425405,0.36982029838068825,0.3517926949957192,0.39691181343258114,0.414847290671084,0.4554230237594794,0.5117778570039229,0.5327565907673264,0.6232193840557299,0.5734644561016863,0.5298454408420112,0.5055178504232055,0.5179211299314166,0.41605797065557104,0.3461742799425777,0.3665701711260188,0.46168223531391284,0.39560526596419715,0.40676737808514274,0.4618446238801831,0.4741251790607428,0.4439282903811412,0.45936012154697975,0.48515459899871266,0.5040497126492185,0.5124503061753113,0.6011079147601679,0.44943929618218603,0.45740951508176847,0.5363619757033451,0.8723562105331676,0.721018877307763,0.5958318799980078,0.5263422410695303,0.4980272519786366,0.4751742399553498,0.43880301178393866,0.43056970942487716,0.39718012294685273,0.3837495847382461,0.44769531912729915,0.5494103480963758,0.6442237990853649,1.4324252521211853,1.035728193141041,0.5718411092507638,0.4410987396203175,0.43552933068097116,0.39152544914613663,0.4210676353633508,0.49755880939592884,0.44499656740328997,0.47154674076718534,0.4799660971926555,0.5071561827635663,0.6354619056957778,0.5966615577529355,0.9131290886561614,0.7770955710724029,0.7775295642016098,0.579484276482067,0.5061236933357434,0.47670459000680976,0.45562861011419015,0.42523939527163074,0.43575559445635687,0.4561629345146057,0.5904456594862875,0.47297563239159796,0.4867286105228773,0.47054349275217267,0.42672083740217787,0.4578383215466285,0.4659547428514814,0.5002895517750718,0.6806934621173883,0.7045121880328155,0.8827253020879186,1.2758192279101488,0.9713439326073272,1.0210192704166414,1.154759175890425,0.8303320320086102,0.755909263754387,0.5833689016513097,0.4977501527391883,0.5727452257588304,0.5678932414634027,0.5280145749844793,0.703741883946272,0.5298965574938662,0.6104744162880864,0.5437491034615579,0.5221382273946998,0.5766474143578126,0.6317764702612333,0.7508653302044258,0.67931654987601,0.7044746258231579,0.7797232771071664,0.8597280733175984,0.8663354202196081,0.9709842856042995,1.081256076761659,1.1113026048251653,0.9181221213438847,1.108716710534727,0.7857802273996102,0.7682751467441257,0.7745853302773117,0.6815222976862592,1.2367279150218746,0.8235805426271519,1.1899541460522043,0.6936876897521707,0.7144060116072701,0.7637348816170322,0.7461500222993319,0.5419061616880275,0.5208719839270081,0.6895259079169455,0.70457592042302,0.6137411546551083,0.5659678972311515,0.9441162913145901,0.6241231210514738,0.6889390865221672,0.6547284903483047,0.5162039820372644,0.7278286518918629,0.7319661582733449,0.8826734400279566,0.9993377086640204,0.9851713569941025,1.1009392164621274,0.861140479838216,0.7629914222068976,1.0347420988376033,0.8895135741158238,0.7467986940537799,0.8515147964611169,0.929877634391917,0.8172182239664579,0.8242117769028939,0.9673608766394429,1.0987955996470489,0.8995588818161029,0.8783957831743769,0.7992575971570895,0.697733335426923,0.6636445172078054,0.6414915865569275,0.6402454681673077,0.6409646542833257,0.5935037796208221,0.5981197639940423,0.6408204278376645,0.5746502686729847,0.584991452835894,0.761022156728219,0.694408932663726,0.6375025956190276,0.6629676930967544,0.8773632470943472,0.7909324967218117,0.7908040711548595,1.1650037201712686,1.214586138901265,1.014818589710987,0.8426279410607616,0.6914633921584923,0.6792699862024073,0.8735868002295731,0.7787326679336931,0.9389235002371542,0.9634957669774382,0.778136113562486,0.6940624119840535,0.49665167167123914,0.4212448591863268,0.7912043023955981,0.8231960682972309,0.7389025116181441,1.2424383160415906,0.8164930524468161,0.9132820486683402,1.2726612071124686,1.6002477355904292,1.9331942829324726,1.8723238481162263,2.2252338793195654,3.4858570963618356,4.089326393974808,5.680918523165482],[0.7763571681189325,0.6523220596211781,0.6130173746776175,0.5808749099706719,0.3719343849750771,0.43119157471455144,0.2763486668514948,0.2724610003037471,0.2397554789080238,0.20116517109156776,0.19637237568257093,0.3060935965252999,0.2047902493467849,0.23859091587841644,0.40169830682589147,0.33424948073948296,0.37692331191313067,0.4438854952293069,0.5466873552555073,0.5070878982510669,0.5516355062558599,0.5545254531754994,0.6572178133696946,0.7364907652267677,0.630384359183166,0.6025484918955427,0.4726392661619213,0.41262061588423554,0.40742972387143606,0.3674404921254239,0.4055595299973113,0.37339301121586665,0.4584554662518183,0.3933375580269957,0.34406194622532393,0.3937336066951593,0.37164747954041455,0.4110612190387046,0.4060408618821535,0.40207944030822107,0.42065372494871106,0.5494301206983192,0.5126599480789296,0.7207487344763143,1.116834443425601,1.498725610844481,1.530372294928562,0.8885222042185723,0.9481239482981264,0.9554298902429468,0.7894001471920087,0.8152357676469237,0.7340979932578209,0.4870143605450966,0.9697778779036583,0.4971860287425823,0.5530819961618144,0.7072548462835027,0.7780404935721883,0.7949167832759513,0.6987327488479763,0.6611902259836739,0.5843108550042024,0.7298798761056707,0.6157525969753731,0.5555484349559479,0.7381785122865714,0.5754196476538516,0.7862859408886822,0.6646846089070846,0.9072187430069583,1.193093613691274,0.7993643442200682,0.8971624638817652,0.5986361055124387,1.4520005904926774,0.5029765948162811,0.4565136020942793,0.4502832447425548,0.4953378726377223,0.44437380109720925,0.5457373140944108,0.8332981883186014,0.44170987556562863,0.5161430182272471,0.40059301029975636,0.421768017893731,0.5038105412448969,0.42294272121619947,0.4676476169683681,0.4571428689822208,0.6521565582316095,0.5209144356613661,0.3940857260380268,0.38120000673648513,0.4658929924797852,0.48798163013949847,0.4012305907837724,0.401152139296982,0.6419058885617887,0.39553370481835676,0.553380705574894,0.3449200639074492,0.4011706312941617,0.3921122616546156,0.41722990492589196,0.6270409128641075,0.3608024055825357,0.36878569789018584,0.6543596495885312,0.3261190347528457,0.2792698968746794,0.2708266432499134,0.31668887825942177,0.29154760560114984,0.3436899905534707,0.40126453489696307,0.4518348300700353,0.5292731987981164,0.4763456838346023,0.43954894826471014,0.37996154332277826,0.3959803423570823,0.31796676838147664,0.29951340198749277,0.3084096193587135,0.3407119849356021,0.32668393645979055,0.3033317027907773,0.3583844728788554,0.37554073008826355,0.3719675648060453,0.35021605830269387,0.40879618855237165,0.37907873711290285,0.42608163752332623,0.6202142276976192,0.35676718066227436,0.3753919007207863,0.42103402257722716,0.7658276959030196,0.6161411895599604,0.4825866278750579,0.41425724668129094,0.3669983067376099,0.34869224282508887,0.3049271791731298,0.31780482698754997,0.2633099151903538,0.3097324372078957,0.40330258140224157,0.503265930623388,0.6873825759806853,1.5530673513931703,0.9996581588372636,0.5444121320971843,0.3483530430268511,0.3764933277285154,0.2788314729260172,0.3445930440099145,0.3827102533703921,0.3288666015231443,0.35144138623797816,0.36082440564008106,0.37488883551382773,0.5257276798194922,0.49343840186636306,0.8196456367027218,0.7361454899397674,0.7450404067079192,0.50415390747946,0.3893574496049847,0.35085424444131474,0.34948380334138185,0.30690447442963614,0.33388774703272733,0.35381628375554425,0.5612671920864206,0.36601265614253525,0.41542114470149144,0.35461110301354726,0.32193990077637974,0.3365508321633524,0.33761562166937775,0.40022301883730466,0.5979108018851151,0.6092301907279442,0.8332944693376888,1.2029869801774957,0.9175785665725423,0.921469885835473,0.9850016854816874,0.7208380048864006,0.6619880826257597,0.4707039033984604,0.4365830821568253,0.5810031971161997,0.4461567547781619,0.4572051830995424,0.6398315018695832,0.527407941632144,0.6384840595395609,0.5641730266675167,0.5759801001036814,0.6493182137227609,0.7014703018246208,0.8186787889453827,0.773347399027889,0.8147222135418839,0.8690231557027137,0.9539948150601862,0.9783703852565948,1.0719462016779624,1.1501742292430752,1.2038272210035954,0.9970497982955143,1.2037361457177151,0.8859575581443616,0.8829755268123745,0.8925848170767593,0.7955668268317831,1.3056229981458867,0.8921241291231601,1.345427849087869,0.7462291892333792,0.7514398022411778,0.7838436908834487,0.7483922477541672,0.6390944271968462,0.5872173067403562,0.6606019073981764,0.6587514182262703,0.6628971031521075,0.5569069969393177,0.8191133680934448,0.6418975097325313,0.6806311704349981,0.6940031385835745,0.4985681566404854,0.6187486080308782,0.6469080346631242,0.8347746611304498,0.9600886652669013,0.9705406234078457,1.0932593800203043,0.8520643056710229,0.801708973167581,1.0865255497918467,0.9478117823867298,0.8187331527063031,0.9421191226265722,1.0201644014100335,0.917428967471731,0.9425779422635912,1.0818878078099359,1.181573051674755,1.0255499879867973,1.013797069052309,0.936276920590917,0.8338554735213247,0.7684967542425349,0.7385339172405752,0.7757513000662706,0.7586198623065666,0.6927948726223575,0.7095959716851603,0.7523296882580838,0.6582858270679307,0.6642095024643256,0.8922806878173621,0.7754394054359838,0.6898498388779994,0.7207815073397228,0.9574250616951155,0.8494959044955814,0.8601471998438017,1.135871739121235,1.2120744778083747,1.093693504797839,0.9062717989506123,0.7819906401025725,0.7602244154672101,0.9195175744385715,0.8428075477526373,0.9856216288775232,0.989492156706904,0.777856545567818,0.7229260387705448,0.4586056997132608,0.37934473401905866,0.7914997693991068,0.9406600492626088,0.8352240161630746,1.4329250664931534,0.9126158255142268,0.9723664771530198,1.42103127343636,1.7023000940211424,1.9167081385149105,2.0145840837336118,2.3573827853836233,3.62368310764129,4.184547599555152,5.666934390737184],[0.7305714680302996,0.575852009096323,0.5644907801287099,0.6359810949103964,0.3544870097095179,0.40152294402563804,0.25419614931968537,0.2727408605903459,0.21320147543670356,0.20478508069053514,0.19713426305423684,0.2948439818026346,0.19083410339363358,0.22265572150414592,0.4370019306999216,0.3441757329527622,0.34064050302160426,0.4035743674746625,0.47580524698290977,0.43942460564173697,0.4737095116606703,0.47851077610497944,0.5658884272394141,0.6453434886997845,0.5301092384781043,0.49725622324488533,0.3942241778011624,0.3609192237258375,0.36594954542336117,0.35306771739268566,0.40070985853043267,0.3828024488337311,0.4257843885591015,0.3842091562897501,0.34922503704753255,0.3637442410955153,0.36903141256730393,0.3811925875159346,0.3480573024573154,0.36238211368122547,0.3491306369461159,0.48863762368604774,0.44511958227101905,0.6264995020089499,0.9634816274402975,1.3973429519125806,1.3564740906013806,0.750899167094187,0.8794240279814993,0.7891751480794593,0.7247893822929236,0.710186152666309,0.666538668932709,0.4533226805656917,1.0124974124268833,0.4810583747996176,0.5091410456814401,0.6444037795748815,0.8187778327433949,0.7299149386083521,0.6324980899305647,0.6450812189639752,0.5657533346753592,0.6780074945434339,0.5461253823261475,0.49902710758879915,0.6748394523081791,0.5375822742102774,0.7125853066689006,0.6261964539596045,0.8966055335063008,1.1436533827997484,0.7735073966880772,0.8111902326729785,0.5616633458175961,1.3503681883958074,0.45266897539789375,0.41019057965183575,0.40898407073254434,0.4678185000336469,0.44593250201404205,0.5403598158195326,0.8875042183331956,0.4905721447028892,0.4613905639386422,0.39549418347201654,0.3866480457789627,0.5066184294406292,0.37697635184615697,0.45671715809994884,0.41248779015903475,0.6111852975727764,0.4932458868883874,0.382305287976007,0.3819808427646021,0.44376506567817664,0.4894656307719169,0.3822106303306234,0.3959960554930222,0.6434816799528498,0.4039647853378965,0.5678716784280351,0.3502310391352181,0.43033683858085015,0.42733815530688524,0.4257484844495549,0.6426308915297079,0.3303539556851124,0.35000954030387565,0.6148099856111368,0.333925688329756,0.27499235820905477,0.25575007316569737,0.30488615381443523,0.2716062052180794,0.3199972376412142,0.3572278230071115,0.3557427929209379,0.4421653003611195,0.466889957040859,0.3742904090984804,0.31221665443726065,0.3080861035670884,0.28220993067410305,0.2781493118436435,0.2763544632268352,0.4092140610371574,0.3363926095459521,0.31444897299153957,0.3664898247715349,0.38142734964813274,0.39082818407443426,0.33014688134268727,0.42649010197693843,0.3915618560867839,0.4054852383243055,0.5873613387624836,0.3303838506915661,0.345400413593553,0.35550885303540036,0.6520458043157755,0.4926135963470165,0.4115081277239042,0.3305733400794698,0.30325619647048574,0.30317141667493436,0.26088889040777546,0.30180002909863657,0.2774871053802841,0.3072021552367874,0.4022117837222236,0.5072853866137232,0.6920116197239093,1.5305754835296508,1.0028329362613606,0.5621995143395001,0.36308283355279275,0.4059965430764415,0.29833947309026815,0.3759657622914726,0.34625415845609725,0.3182983970614549,0.29070984971254,0.30564121022194424,0.3925257395636046,0.4487427885484534,0.4067389850823493,0.6384566731514141,0.6260016850398508,0.6515706765301575,0.4338028548624586,0.3443990698815629,0.3167462862091516,0.3267834881612541,0.30109427715712783,0.3649024106005102,0.3761427271036161,0.6218308605871407,0.388432605544129,0.48225734106303103,0.3250941223807855,0.3274343524427447,0.3355311686702782,0.31164909646429395,0.36037955115464265,0.5036666187664851,0.4999594718209859,0.7913769441135609,1.0956228269671502,0.7966626455097364,0.8149520541198739,0.9155072338390076,0.6659394078501722,0.6033484539226339,0.42327508680946874,0.3842706165272782,0.5859339813155492,0.4422348939188483,0.4521014155141028,0.6210035430969946,0.5253333865522354,0.6331170514683004,0.5406180292695322,0.5530461012178999,0.6266207128552825,0.6640564738526022,0.7853992615606183,0.7195964771470869,0.7570616835335321,0.8073277881668725,0.8972655438728703,0.9091323415540575,0.995903149533095,1.138519005448256,1.1308841057189665,0.9150366404165817,1.1486752055060452,0.8164950339061814,0.8105878497052805,0.8194538687690909,0.7327160117129584,1.387848973427424,0.8484935302819323,1.2741122750134928,0.7333451305644145,0.7830781089261343,0.8131638642276198,0.8044145080965731,0.6279503491118205,0.5832846762524566,0.7192332763477609,0.6807129529201843,0.6331342365760247,0.5568164432883446,0.8671223316254248,0.5728874959355433,0.6221570336565203,0.6697383321166066,0.4902349639340548,0.6340771474844817,0.6940350832252699,0.8853500264612418,1.0105945085898662,1.0192563193038273,1.1317707607349845,0.8874559200517419,0.8165678777188492,1.114117204042023,0.9558757388811904,0.8025198227892162,0.9188860968011265,0.9871766452735717,0.8675116455077364,0.8952225605397638,1.0314508452236297,1.115409216231791,0.9541141069456006,0.9478581002675828,0.8793229681629172,0.7901698007915201,0.7476585978795885,0.7309654379093354,0.7274945545971683,0.7157969833489787,0.6753459987731454,0.6664019541428582,0.7051993817708455,0.6266613506562482,0.6257971207710773,0.7985291575725664,0.7107999143701997,0.6379026212889034,0.6681645617811985,0.8614519121746887,0.7739072825296157,0.7859988553226056,1.0264522440670312,1.1553754617659506,1.0252459137815444,0.8632512614200043,0.7209586162220548,0.7131784318528095,0.9411333240906627,0.837750569420887,0.9465565702289208,0.9766940919408309,0.7583430303089229,0.7652134839768093,0.44676610987504417,0.38652576516515447,0.7406313207110301,0.8959873843329822,0.7932722481989316,1.435393629441936,0.8084713219064196,0.896775902153273,1.309965606154364,1.536474443814887,1.7520808186703143,1.7543449000054243,2.2196986047417897,3.4637303690841597,4.146614543193264,5.7398489659650425],[0.7208060575907891,0.5839779171570526,0.5543330858633886,0.6352401494669231,0.37653190534180664,0.4499577647473003,0.3060390182674154,0.3660528269577681,0.296064744288762,0.29877364264831807,0.32135480993305077,0.40266409373733525,0.33211604686539714,0.4126948685819167,0.5962606306142509,0.5056113914925174,0.5375981876912194,0.6421154228079936,0.7594247158321848,0.6773052094681471,0.7519190228207989,0.7254248937565462,0.8126334422329989,0.9476916373884707,0.7736628088063555,0.7846483422894753,0.6040655596801453,0.5550621098337386,0.5587077761672133,0.5048019496541593,0.5808613855585728,0.5125439555905791,0.6034744770233024,0.5445226737113427,0.5011446767198033,0.5510778253325018,0.5126612137966318,0.5676601671276933,0.5353758102515936,0.5228253835432568,0.5415066658349033,0.7182157115240942,0.661979116447082,0.8219158873457375,1.1527288754802878,1.5000958793573695,1.4970913370421857,0.9648748334504748,1.0261846597772157,0.9584999181805344,0.8663580491429628,0.8670463869453531,0.8362998659599115,0.5983036935565451,1.073597177404611,0.6369509012276774,0.6470631159748553,0.7975433336045287,0.941355201333926,0.8601304584263965,0.8144419972039793,0.8159516040758181,0.7538040385799847,0.923045105479337,0.7954510325652622,0.7142691562926132,0.9399713502020705,0.7689407767244263,0.9716133009581,0.857044512353043,1.1426171372195928,1.4096377437370957,0.996649597441572,1.0440520340712023,0.7840081245287734,1.586228929453501,0.6823212729967273,0.6151894707289536,0.6059986850846303,0.6470849861439856,0.5917039124552907,0.6620073325063265,0.9057919303289306,0.5608565712725281,0.5918992472831507,0.5202788816629103,0.5758483256750927,0.6046279621109378,0.580356138171769,0.6082479208848567,0.6247114603433058,0.8016842925338907,0.6825179930727507,0.5582464943452214,0.5526039036679451,0.5989582019379681,0.6035936159458217,0.4943497346671938,0.4899889658057883,0.7910014570686525,0.49869195182065956,0.6391450398311588,0.4379204293873452,0.5082027668768239,0.47990875137682654,0.4728952232144344,0.6855994211734161,0.37291803194369183,0.38877254211274215,0.6394165966410275,0.3863505713403143,0.32072061316290706,0.30392322185600895,0.35782512575691566,0.38770556610645407,0.4605460008072898,0.5182384556163961,0.5437183498516018,0.6735664847753096,0.6441783164788573,0.5926632858695479,0.5294180608629118,0.5006234614626152,0.4018073690572926,0.33684335540465077,0.3317365929322282,0.4155413166540093,0.36328536975544806,0.3529964449073482,0.41070507323613925,0.4051356500105429,0.4212806817230766,0.36285447921695224,0.4770901435821211,0.4135643952606395,0.424815761018731,0.6141511762593561,0.38489922427951756,0.4161682965067578,0.47497442200588813,0.7878713736024902,0.6733032295113484,0.5974485323971909,0.4981427119079859,0.46191806032138355,0.44926526669743155,0.4027924259118087,0.4010953676907387,0.3648254977792635,0.3525259746199332,0.46153056527593,0.5887669701878819,0.8241904647644178,1.8228192481406447,1.126223965071652,0.7041325388467458,0.4522869917424973,0.48287039140198124,0.39793114961532733,0.4267614787449646,0.4290389880063307,0.41804209823869254,0.41229339507733875,0.45009635002940246,0.42648938903648,0.5699167785556406,0.4649366598050843,0.7478169364078829,0.6605458613622487,0.6934257312758324,0.4899792551535648,0.42714536387877844,0.409286983992245,0.4126877234303684,0.4031649165314392,0.42053377761689953,0.45724230749818023,0.6774012204483728,0.4745636453677607,0.5422793393638659,0.4092242827473663,0.3937424392233293,0.407424935357223,0.38072751316547065,0.43442088698194586,0.6227114502115475,0.6572645205557013,0.9212971937553411,1.2293590815259805,0.8972726297113128,0.884643562875222,0.9741413823536313,0.6725961411021615,0.6106385795411109,0.4496418312681908,0.4190775908128257,0.6017499523711837,0.4699483830445755,0.4843757862149501,0.6522221815962848,0.5875984815906957,0.7025850025532578,0.6024548485210856,0.6170099889510106,0.7087605228876948,0.7433056758719891,0.8468868569174414,0.7966808349232046,0.8553375700443043,0.8864126272512746,0.9735547816311745,1.014986939732422,1.0969942190580662,1.2030409857582327,1.214302575736593,0.9939291714237665,1.2326480816189445,0.8973907918260322,0.888563695389556,0.916495945337902,0.8301251445255232,1.4327542524272239,0.9273854863508751,1.3532596795081377,0.8053098129238763,0.8582364400159667,0.8769850308385362,0.8433961949543852,0.6951735155246846,0.6458969479123423,0.7668246813372105,0.7117815498145805,0.6744105645520649,0.5933004937412327,0.8759945073903702,0.6040395956218533,0.6544121869155142,0.6971415632749741,0.5318562440200635,0.6756770199352788,0.7416815324107989,0.936042161228551,1.0680924010438604,1.0947143960371288,1.2059600992781496,0.9505087818008484,0.9092024834629653,1.2146218295848323,1.0461558572464256,0.8935219955856984,1.0296546280292358,1.1015395115190505,0.9690659890523506,1.0144744055107422,1.179087837168146,1.2415683946896663,1.085651739803684,1.0893158717833595,0.9969067429393977,0.9098824115770409,0.8460344596609634,0.8204677260502375,0.8346762673354967,0.8039540687501225,0.7643469286583442,0.7538588527580269,0.7878203768549923,0.6894709745379666,0.6907315838914413,0.8790974557320334,0.7644356559040613,0.6772752339169448,0.7170783052225298,0.9092501847946522,0.8187136059628031,0.834081395380369,1.0623813201982784,1.1805007751402605,1.0943611961031663,0.9006147642108209,0.7805781762343275,0.7607233865523545,0.9385953693390464,0.8616749116118114,0.9805666625351456,0.9892228441658036,0.8006714053344267,0.7842973414726403,0.48320250272781473,0.4208981985495679,0.780494086687142,0.9526872279771079,0.8690582499487334,1.5591361481920527,0.8794565538843249,0.9722440717986042,1.4243067251947503,1.547059510963923,1.7435640545469322,1.8400922383405842,2.3317315162513976,3.5786057014588253,4.30754474150283,5.823001234133784],[0.7368277026958682,0.6093678850917862,0.5545587838249335,0.6169158662786043,0.3680327236732033,0.43187726053010106,0.27107720662863505,0.2982594752156071,0.237358292112509,0.2537305602693749,0.26953111457628015,0.362480010433916,0.2813645220949119,0.326937290699006,0.5027838437381126,0.43834830805409986,0.46581773826411466,0.5535496654512678,0.6690021943668247,0.6002640356943608,0.6644375899332642,0.643684341203071,0.7688613332678644,0.903369607492223,0.7062241362119326,0.7101316494923462,0.5464743595352006,0.4886898288672209,0.4854985901099892,0.44681144969539377,0.5187746553725626,0.4659874727210985,0.5988485728397238,0.519920247350343,0.4543303238301292,0.49153047649745657,0.4629131128777101,0.5058789292319092,0.47651733929482176,0.4662050834787735,0.4847208202027894,0.6535965394604717,0.6033367389801129,0.7828125206549081,1.1589512657199248,1.51494377820597,1.5484567845223476,0.9450359742796478,0.9930553793388147,0.9637711580175305,0.8221013630444217,0.8501297648614518,0.8162924663078817,0.5437266616698238,1.022163900331251,0.5860234801037724,0.6037466096020375,0.7658675408312304,0.8792856207093133,0.8260400843794898,0.7561610136432313,0.7441407460757622,0.6884522985346346,0.8631863328185113,0.7217448135358364,0.6371393755357203,0.8587072832500734,0.6949680805499312,0.9109978272261502,0.7600091823658233,1.0369070492052805,1.3474125917060344,0.9104648930243742,0.9900429155271399,0.7053366414580946,1.5617991909609383,0.618258246081997,0.5761410334195224,0.5602639861080329,0.5838598962297283,0.547640594027485,0.6308707337213344,0.8881792596375228,0.5036258631976306,0.5460827535241455,0.4675081627045532,0.5252459698991517,0.5795980719629543,0.5209189984331892,0.5666235822073012,0.5762505838492721,0.7598942688564976,0.648219481827262,0.5367456581564959,0.5113404881374158,0.584666886051101,0.5555384648052661,0.47858018040928035,0.4574775212945025,0.7462523976975987,0.4654892309938988,0.6056090632319682,0.4047410797041848,0.4676705772986206,0.4455676784401456,0.44866752991401027,0.6744121727222949,0.35100651000807376,0.37979466348731483,0.6457194380606261,0.34513188161732444,0.2945070641394013,0.2754747152573378,0.33712124388469433,0.34825377173004207,0.4047586118357598,0.45815133423744037,0.5002404889578471,0.6174740477865684,0.5627976108686343,0.5072853256969033,0.44929219433964124,0.45167366523580643,0.35495803042653673,0.3205008367111814,0.3152002780923203,0.37588195017294995,0.3341665850524049,0.3080484278524651,0.37868216403575755,0.39128611803750124,0.40040922377402094,0.3559431794569218,0.434046225692726,0.41148780152793923,0.4446425551737303,0.6307577879466725,0.3769770822399589,0.40851029330020994,0.45496805087390557,0.7875764222516421,0.6611436070539163,0.5608035168097872,0.46487922387606906,0.4206270134052647,0.39301656377255517,0.3548137388487688,0.36483322299711624,0.31387926510320213,0.3240468852446798,0.42912936146778924,0.5330674400498301,0.7892934760444382,1.7925938083568365,1.072374904635284,0.6427309747912141,0.41302806776025586,0.444497059317879,0.35687190014090897,0.3939429480865616,0.39525391658551323,0.3734022988033128,0.38310467680172194,0.405171498537605,0.4013472045488925,0.541240248557957,0.48207570168096997,0.8071497297649665,0.7189073933923764,0.7348089114374555,0.5034732940322278,0.42028589712407355,0.3668536568376853,0.3734642364079241,0.3493239808007345,0.38151604872235306,0.41392101911910256,0.6412183889792067,0.42367075626765016,0.4994663362254416,0.3769079053085594,0.3553875275063324,0.3671070083700872,0.3467429492594191,0.406083747998978,0.5964676658033642,0.6235736698768872,0.862084686653067,1.2248706916611265,0.9028232009718715,0.8952540564546556,0.9872500695210136,0.7082010544918195,0.6520605246948468,0.46231091658282397,0.42723821642921117,0.5808559239901041,0.4585779526339361,0.4708462054973688,0.6426903402685898,0.5577585983670189,0.6747061798638467,0.5768047314338977,0.6016351842027766,0.7019711067940674,0.7463311458790729,0.858456208666393,0.8200956020944306,0.8850228264003152,0.9144066931002882,1.0095799214070376,1.0630935130108579,1.1455785454368823,1.2143739391260466,1.2708051489986991,1.0582564804269854,1.3030650602972378,0.956239358829528,0.9405890444999867,0.9728154970718832,0.8788613209125747,1.3886727083229828,0.9820391426326471,1.4336734442936154,0.811519578350109,0.8291828632962921,0.84988527095542,0.8053359199035117,0.6784062206003849,0.6309996519098957,0.715045281566766,0.6679769331176557,0.6806692096529563,0.5810298524885965,0.8354967760166974,0.6530531570678995,0.692278151438125,0.6941646676951578,0.5136524034075658,0.6301473502880602,0.6826099268976942,0.8873150853910535,1.0164659154644922,1.0503702696062716,1.1624399944784527,0.9157393388027659,0.891626799862739,1.1997792538903347,1.035970240804076,0.8954658533278406,1.0547186405670628,1.1314667946348356,1.0012781082830597,1.0507981575621648,1.2164876710319528,1.2876782870241834,1.1367886104755105,1.1400281755480797,1.0412186341687422,0.9399070894314229,0.8531476095454873,0.8248743640946015,0.8676876174575446,0.8225642209722652,0.7579198621749755,0.7768521727617417,0.8182977055551774,0.7001450064878179,0.7068588750527884,0.9462180881774517,0.8150704870650626,0.7123846839577921,0.7624884961626779,0.9742249431468896,0.8672593166087814,0.8816035021559284,1.10954934963146,1.220380415380464,1.166014445230797,0.9455913579709042,0.8214576757927875,0.803589048592095,0.9506479657904107,0.8813089318122318,1.0184263080158178,1.0121456779839535,0.8109705832846558,0.7821440647078644,0.4694669336772028,0.38688627333751285,0.759445351214374,0.9598995762194136,0.8670711218718843,1.584206004137121,0.9154616807133267,1.0066102435069015,1.5097134392508857,1.64052350893663,1.8212710722505043,2.020410602032452,2.449719139843364,3.7101791901381356,4.369534625411251,5.794472788121552],[0.7387548586339239,0.5899296108393717,0.5354983880705558,0.6253546182780918,0.38997956926933186,0.4424427411275145,0.2898686944448041,0.3315441793770028,0.2663631480709761,0.29482585666086325,0.31927801619065216,0.3804279331742404,0.3174727782543936,0.32442268556704285,0.5309704621945996,0.460520480197822,0.4272047663885287,0.5091941415701277,0.5847988560754935,0.5470413475351198,0.5906088351671583,0.5837284535365774,0.6683672131034717,0.7566916950510926,0.6396346619905517,0.6167693500242462,0.48269070700331335,0.44171699510613777,0.4634286960402045,0.4454264440193457,0.4987428763545849,0.49834960980305937,0.5344552528605823,0.5007959844339751,0.454595499164929,0.4624654028921564,0.461464181170291,0.4721495711621784,0.42514012214710634,0.42629384049829494,0.42067736785244814,0.5677581042180005,0.5219473398159635,0.7034456454486939,1.0709738399246345,1.485731328439608,1.4749650854199645,0.8468142320988137,0.9453835628987455,0.8970198483833584,0.7651767840175276,0.7637074054196454,0.700546057462471,0.4977574855414497,1.0312895880673487,0.522069848768203,0.5649884406765749,0.6817399467450251,0.8487320885866437,0.7769885285908157,0.7005590099200049,0.7064330966174563,0.6492626039157307,0.7706429044135797,0.6373020532002002,0.5949062793281973,0.775181429883972,0.6429197112172684,0.8427916608706889,0.7340711510660797,0.9834397452089297,1.2893694962833882,0.8708670881125223,0.92913798160973,0.6759693285691256,1.4995888282431522,0.5689231994684193,0.5346644305476395,0.5146792815042608,0.5443678076532409,0.5363284428917392,0.5926954966738001,0.9192633528933158,0.5518644828404135,0.5067019798467846,0.4573161593844965,0.47755375748220547,0.5593120683152485,0.48090447964448163,0.5509661503667679,0.5371180886490534,0.7333423596932058,0.6094445377556578,0.5193151513835846,0.5020677474617262,0.5817628110794469,0.5886229875471214,0.47314710260886594,0.46244556327764635,0.7381992103911191,0.4679397505506962,0.6408036485758458,0.45056453208904973,0.5092613466392204,0.5015340560645383,0.4875424769411132,0.7713358191053185,0.4217423331556905,0.44113357377627416,0.7109116241255001,0.36529501211520304,0.2988453158982066,0.25667703205994713,0.3307756600713911,0.3221794537378995,0.36204821676128335,0.42428916016661034,0.4649539211288331,0.5424279428536836,0.5165147860013862,0.4515915651399042,0.4000175289070752,0.41099844456078605,0.33818623240917933,0.30876219686122824,0.312948880761644,0.3684428212144897,0.3547836059065875,0.3157227353169129,0.3796831104423565,0.3937342944564045,0.4128638865961752,0.36545344723863227,0.4615280331873619,0.4034886676851709,0.45283606143887345,0.6429413451980239,0.35341383636426565,0.37507764767130175,0.4085675574202478,0.744333634067334,0.5959195784357995,0.48289574516490136,0.40159240242285105,0.36505610653634896,0.3670889536364363,0.32387834130625376,0.3648288981859997,0.3343893078540368,0.3597101888982574,0.4716132338206864,0.5477430682518044,0.8445442388409151,1.8095570817038977,1.0323586852802495,0.6438217782699481,0.4586646228045937,0.5065118512104813,0.38966502695748323,0.452889729060938,0.38347682508684283,0.36952284737956365,0.34563981791925974,0.3724901072340283,0.4106224168493365,0.5192249951181308,0.4511140272428765,0.7423258083150065,0.7142527770018763,0.7352451463895879,0.47066952208218354,0.38075669676559104,0.35565468346065376,0.3857185620676062,0.364404941582204,0.4127636663830914,0.4232313646104707,0.6590180288675809,0.4391605277940524,0.5206799711607805,0.38693804547316124,0.3795147242468617,0.3775084907484016,0.37232720044351847,0.40692478942326,0.5596853525544071,0.5761598023940439,0.8538351412814341,1.1826758935037687,0.8599713464828233,0.8610546624993721,0.9157594309526303,0.6842980806166641,0.6349594436835384,0.45905493332936215,0.43794444537782734,0.6254204777579567,0.47047659178721357,0.49624046681785117,0.629465641421024,0.629223284780641,0.7478752081748019,0.631079506471585,0.6744602070974206,0.7792453718595365,0.8175315622248268,0.919236993330297,0.8896485630063135,0.956850372937971,0.9718523129453047,1.0647650183475177,1.1154841025438482,1.186428428267247,1.244494687217906,1.3025836961475654,1.0862381291433285,1.3322375167465996,0.9984806705376741,1.0020243340307122,1.0409543859773471,0.9516843957574752,1.4052970739624073,1.0614319285561473,1.5613233687990298,0.8984846276398297,0.9220406598551155,0.9284135549188268,0.8974539439516126,0.7709798445764029,0.7367608133665249,0.778413426075234,0.7275168305899817,0.7631634830693379,0.6616907078618696,0.844167946396491,0.6918371719429215,0.7274639036804178,0.7856573865942623,0.5817783221361361,0.6551620277430376,0.6970271538779869,0.9131576467201549,1.017615219805583,1.0761460937947773,1.1706853207049055,0.9449814137668762,0.9655774568728283,1.2505446039417396,1.093257484713943,0.967767822969683,1.1252726407804572,1.1946501665235434,1.0696582485773922,1.122137670852888,1.273816347607272,1.322068013001551,1.1951015049831841,1.202541246151213,1.1116370130298583,1.0303021380882633,0.9453162504999341,0.9141480447681485,0.9614149086563071,0.9000508959130161,0.8522814108844674,0.8677665447052119,0.9013280039268368,0.7845143262197667,0.783694720933015,1.0118112270731665,0.8745551665971877,0.7647601304173691,0.8244061707978927,0.990110865598967,0.897367686832873,0.9107802265669104,1.0803967502536724,1.2015552438007826,1.2143201004644988,0.9728282907188082,0.8614087571587827,0.8464654001898902,0.9840194436476369,0.9422178614552555,1.0542376151868889,1.0381740442774678,0.8629580669589251,0.8502857735041176,0.4907119348915405,0.38217330078793676,0.7138154694907426,1.0647255010271113,0.9652016685919659,1.738832191769445,1.0305351182139397,1.0589323863590538,1.597114200012719,1.6993660586121997,1.7838123598495705,2.0611484190980356,2.4974837500843083,3.7743321669341814,4.397938911443595,5.755369860623217],[0.7142545075783046,0.5885422840540049,0.5115218352642881,0.5858175055048016,0.39013064128647196,0.4536852438549011,0.29491865048892507,0.3494573437432364,0.29812624235820145,0.3340325199642011,0.36594094239297253,0.41074028708385124,0.36108846325604577,0.3649355166331358,0.5916145470346522,0.5067416470202816,0.48058257420701755,0.5660582713529431,0.6475561546278736,0.5806597926266843,0.6355269244023166,0.6138500702429486,0.709317984470066,0.8359490495443985,0.6436274105324878,0.6447416120963265,0.4973045431110335,0.4622252505040583,0.4978008539612792,0.49130285352162967,0.5727722843912794,0.5557316939636824,0.6307887755567709,0.5797133431654142,0.52268785651963,0.523353789788119,0.5100439177618317,0.5051081495503713,0.4537027519903147,0.460773653594097,0.4486611308022725,0.6294344577490112,0.5675238071701564,0.741619306186943,1.0930464434092153,1.4890893949568322,1.4620657734060296,0.8732455802997402,0.962300876134435,0.8908687702330496,0.8000248135906619,0.744654153591822,0.7580077841752584,0.5383188080135788,1.0840277972729337,0.586602336436714,0.5706261043283452,0.7406124942758721,0.946702808671702,0.8036518342148095,0.7369779419179981,0.7562919653893033,0.705747993605817,0.8652562595867971,0.6880916302638056,0.6274670205824877,0.8586068338491532,0.7058604230149723,0.8987275710163548,0.790991199435971,1.0560631471425026,1.3894485176135833,0.9571978464779481,0.9891176975757701,0.7375775364332969,1.553214162510423,0.6321630155239669,0.624368787603363,0.5903589437938737,0.6181315119808726,0.5866997798447767,0.6044105478028243,0.941670307149064,0.6026321556692126,0.5426605492319989,0.5113878809578573,0.5181389345917219,0.5966705686477662,0.5416861163993065,0.6265603212472003,0.6151935342842275,0.8069266560382705,0.699680374232259,0.6121979817499403,0.5919008933026311,0.6689922200185991,0.6753795206016638,0.5349719991336283,0.5088497929004057,0.8045592164749903,0.5381684861879622,0.6801367137366852,0.4864321498950927,0.5698727125018892,0.5334608181090551,0.5238566131194244,0.8348918595803347,0.45948343460124547,0.4950774499120038,0.7352935215489781,0.41374670670480546,0.3443392370938059,0.29358362009988187,0.3576582946913264,0.347663075719493,0.389043038074459,0.4368825989088645,0.4785319304660953,0.582271789896779,0.5487088267261232,0.48381538554044373,0.4426990070375982,0.4341701218019266,0.3514657787032357,0.3182416660830748,0.32900836712889636,0.357190570897298,0.3652548978471718,0.34946815854533747,0.4125582060580681,0.43185371004418466,0.4743686703006607,0.3866834968654015,0.48890836535848026,0.4167881309520083,0.4414460529367756,0.6557267090067798,0.35700802685048083,0.37159988421820633,0.4155816358785388,0.7417600605034675,0.5956149045800972,0.4937253598507398,0.4181226842270709,0.37048285313501744,0.37707482141319754,0.3352586741475227,0.3805331943922877,0.36970954948277696,0.37451351119085546,0.46856045094351445,0.553180186550474,0.9215517338646132,1.9584024841177066,1.0166762412197239,0.6834438497754405,0.48739627494427107,0.5470848852442928,0.42781864946351517,0.5196246378473167,0.4012420832625727,0.38940632850383816,0.3529799630397742,0.3887970346504321,0.4043477835839419,0.5150051271268554,0.45047602202538445,0.7237430532378724,0.7026091471155822,0.7220051672453358,0.47717525708833064,0.38379812168188504,0.3725434162422344,0.4026458279391142,0.40654239945590526,0.4670554206131985,0.47087390880231694,0.744353584716751,0.48425231477351854,0.5794355279232816,0.4185578693752233,0.41971603794608714,0.4144337200386326,0.3984670283496333,0.433056187838454,0.5608282937602795,0.5778375357750509,0.8675746023161433,1.1865206215329658,0.8604992859384991,0.8425423879590405,0.8827977456596352,0.6617792278458389,0.5969844640184063,0.4426419704400977,0.4579609488204336,0.6460512877281147,0.4999044819413796,0.5307634576561047,0.6664904127570425,0.6925259158702557,0.8138790549765442,0.6762114504888056,0.7133641048786026,0.8442109866053983,0.8654787244587894,0.9442673824857263,0.9299206457101868,1.037294052551846,1.0109504552733735,1.1020639773687735,1.1872315470510733,1.2471101275709728,1.2783236331706629,1.357344925172689,1.1287309166124948,1.39506887376242,1.0521724764963498,1.0615182895044606,1.1179972390040094,1.0399674728407022,1.533653606283341,1.1597050415154344,1.6530733508227846,0.9941589889893006,1.0391447737506008,1.0498162867328584,1.0192894416639233,0.8728686395445246,0.8216215228789119,0.8767953303216648,0.7850414937277215,0.8062512495765836,0.7128469508633868,0.8790536327285022,0.7207981812865843,0.7306148065780675,0.794210473264537,0.6153106077178423,0.7082009636959409,0.7747127171638919,1.0096374956477963,1.126213551213425,1.2076278440416421,1.3026109052501482,1.0534502195237707,1.0912514107291662,1.4045702794798343,1.2184236818896361,1.0651990503710493,1.2538564366097236,1.3221415001941597,1.166721440335741,1.2518966019951319,1.4247112942130482,1.4275857757598935,1.303973210734296,1.3327284706420255,1.2197691839496085,1.1532205037080256,1.0563769296440095,1.026156049538823,1.0694177970133585,0.9807618873919169,0.9439180107724451,0.9526465423538522,0.9782274758739015,0.8395578225737421,0.8502299240549089,1.0664061574475119,0.9054320586364232,0.7865700827160749,0.8766115685026853,1.0294410175931317,0.9274352276902939,0.9343916666825706,1.0798568319826616,1.1919221099035557,1.2647465304302465,0.9963782660958845,0.8929278695412675,0.8928119211145683,1.0138217821918774,0.9641532039772572,1.0634485792554313,1.0345595047455691,0.8795213946829992,0.9030011582677963,0.5230708938918203,0.41635916845529575,0.7361010697568229,1.088824839099872,1.0193281080195162,1.8799747017734445,1.0726439420992537,1.1046895038943043,1.680893545262448,1.6461150023839504,1.658533120838713,2.0639788551498257,2.579796326903499,3.775605486967647,4.528499926065966,5.790915846513787],[0.7919797404527231,0.684447210041004,0.6260268779827171,0.6053933707073795,0.5187162412072134,0.5615261444945738,0.4179444556319426,0.4798693616149692,0.3979999765994988,0.3941965724647406,0.4129455107280012,0.4884440535742636,0.427724540996255,0.39832610254883766,0.6495503571725594,0.5662881101086935,0.5127523845729233,0.5973124389112584,0.6401769194291537,0.6012670689039308,0.6445885584384071,0.6294450589735853,0.7160909955770136,0.7753356677225167,0.6301894619927896,0.6193496016107479,0.4933204750467408,0.4916183503511139,0.5333346646407789,0.5427771425148663,0.6450764444834778,0.631928623110307,0.6912967338087741,0.6698532378383719,0.6056900249082204,0.5837625930291044,0.5833011480522723,0.5445074712238767,0.4842719370943435,0.5003317934463956,0.47838740879838443,0.6363724106419884,0.5870024549979914,0.7240589931915431,1.021382344677119,1.4521871473011856,1.3813512238848549,0.8057669903684823,0.9198542509076676,0.8179920364787873,0.7934447033447751,0.6776545863096849,0.7443525966526647,0.5691053320941301,1.1805105335071335,0.6589987614604059,0.6013484851641772,0.7596075053716688,1.0229180933536297,0.8363151142544415,0.7418855035033887,0.79290084580608,0.7385233382330396,0.8731569355433075,0.6884404094954105,0.6558381511023289,0.8738539638287529,0.7305099499794605,0.8831363508188804,0.8198832328317143,1.065779671776111,1.4055811335306214,0.9911366099311243,0.9893837485667005,0.7952183232919905,1.5490193905785623,0.6842851763762928,0.6929369201038585,0.6495416480523811,0.6878313376389342,0.6759069176767291,0.6918915111251387,1.015173434506592,0.7562392534942819,0.5899664242028106,0.5994777575723254,0.5718798748118026,0.6728261560042875,0.5947573480767238,0.6992699324046171,0.6859698075206919,0.8760067239558108,0.782197330766889,0.7169139273109508,0.6762654707711561,0.7820432405572356,0.7864340065367078,0.628560189447852,0.5967154585493971,0.8582415299507566,0.6340177905113118,0.7791215397292826,0.6089209298959484,0.6791357169673052,0.6764283924067749,0.6645316028965463,0.9935483928367058,0.6314587478647489,0.6597377254138344,0.8624844275096717,0.5684799438405841,0.48468778482209623,0.42900802901224677,0.44552821726587916,0.3987542414993481,0.41969779027457754,0.46899929876527313,0.47161105771124373,0.562091560597209,0.573406228067741,0.4813947958209145,0.4430981207265562,0.43057522242622165,0.3771530325956581,0.37708631729539543,0.42867999341445806,0.44616591858371435,0.46222887918652006,0.5055537748732418,0.5647576388227348,0.5647144224063523,0.6371756060967563,0.5129684105199043,0.6278758153681376,0.5039740422901224,0.4940622913664879,0.7775315370367599,0.4595750239649632,0.4211798569337197,0.46229555636082675,0.7008546533802209,0.568786980492215,0.5056355692953349,0.44289550262486516,0.4146738556281479,0.4268318468034828,0.3906100745312506,0.460282304934316,0.4656389292532506,0.48501206451393947,0.5756901339804286,0.6250522307907955,1.012675875949442,1.886499518450856,0.9406933059586501,0.7495716261662293,0.5733700641351949,0.6458556555312198,0.5256996125622437,0.6051524404152907,0.4961540841323987,0.4611322719805118,0.4112694306241283,0.44683962754848916,0.533811643084902,0.576764602565273,0.532014648523334,0.7126332655086742,0.7556585411304186,0.7609521838301692,0.5550491684981741,0.4439942531973966,0.47603423172323023,0.48679827315549234,0.5040638925415533,0.5837025748976129,0.5609402351540498,0.836137810008738,0.5884429211270541,0.6776507822566098,0.5131785962315188,0.5463994371442343,0.5567062621821093,0.5400709099383977,0.5457512200482525,0.6305626706376402,0.6111224315494419,0.9256517396403977,1.1349657650304266,0.9118163214058044,0.8714004761808442,0.7567192322457521,0.6818449241430428,0.6345746090007425,0.5263405506958764,0.5781359911418215,0.7474553345457918,0.618380566835512,0.6325931731191928,0.7498210241016225,0.8227248445938611,0.9378291373703809,0.7816368406607714,0.8202969108496044,0.968691260349454,0.9651264750785153,0.976506078234731,1.0136952389162446,1.1556582487418987,1.076462504576911,1.1628688527519133,1.2650673989270163,1.2980072506249403,1.3213049340593868,1.4111228764059358,1.1943566175696743,1.4464209815782827,1.1352849775596308,1.1649166555366026,1.2294259655789834,1.1792016767475058,1.7471891998734663,1.3100311295235365,1.7819785517194158,1.1703913330675444,1.2283567037110794,1.2083885739776772,1.1875060683711716,1.091466330477735,0.9926744916698198,1.0277731363437532,0.9400696061440171,0.9684406600819493,0.8482932852262243,0.9572791680819621,0.8448429034851631,0.8122509838091293,0.8895538900302167,0.737168996561623,0.8304990408445397,0.905632892088903,1.1230126952276944,1.2503133195676879,1.3822212503713556,1.4317309390735324,1.1889791086132626,1.2644834004286936,1.567289965876594,1.3607673634021904,1.2086684666270269,1.4222476699238784,1.478504096848004,1.29489174783612,1.4089078197080274,1.5854939873146923,1.5459392577643212,1.4239772488112734,1.480336342004933,1.354726074170453,1.3236545226741965,1.223549725115158,1.2019446671962728,1.230692863106085,1.1087900979987848,1.0986003528963055,1.1010341839881148,1.114905345635859,0.970029753223692,1.0007830015125858,1.1803500106913627,1.0071834444329033,0.8963763703415603,1.0120596664866726,1.1370770711288052,1.037440445701611,1.0235760853294447,1.1459859480700945,1.244751488550004,1.3266436517372306,1.1033957404527006,0.9693124566593285,0.9933322101903761,1.1446377345067509,1.0514927096095004,1.1308264883727106,1.047719356421125,0.9019803835174718,0.9943617094512607,0.6201463558114754,0.5710663568820318,0.7926078022002176,1.1164908354975758,1.098324808612592,1.9822813528780385,1.1186665483518334,1.1740165259674822,1.7934905381643342,1.5959700075352843,1.5484680640485182,2.071061260691344,2.689383367089575,3.736954352876384,4.5884945037569835,5.675750609863993],[0.6135495499650252,0.5357705668433677,0.5558567344629577,0.5928487856857205,0.46508196528814366,0.5044412462652507,0.3575459693185238,0.4372730011540109,0.35092003713445075,0.36361855267676496,0.4089979798971081,0.46616871857515413,0.4088262829212727,0.3895726430571278,0.5943972501217302,0.5253700000854588,0.48984327636178254,0.5707693911801588,0.639035381339638,0.5789442750156497,0.6326495672161867,0.6151457984179994,0.7074784913436305,0.812273541761082,0.6327262301337552,0.6297290546065718,0.4760392761014872,0.4598419965585438,0.5039728350163314,0.5116187821369257,0.6019485805236644,0.5886775866980828,0.6481150114873608,0.6085224627360023,0.5570097419126887,0.5484499031358432,0.5501609256697316,0.5115239481541983,0.45305033045023213,0.4678252733878548,0.4529055525667932,0.6330162023718711,0.5738743467188709,0.7499008118931916,1.110085732235353,1.5324186279210927,1.5001628690940125,0.8867912809769031,0.9819594697218734,0.9194703135490506,0.7919432748531396,0.7463773078870429,0.7618721138044503,0.5578765494538537,1.1139851448768632,0.6062485326829378,0.5710199305330976,0.7552657020556915,0.977497554101678,0.8114387185940349,0.7299565309049909,0.7585179608767243,0.7149794180236301,0.8661915272857867,0.683506098822054,0.6387388942637273,0.8682833295690457,0.7181097818135533,0.9060194007625338,0.8057177096491333,1.0573862430809278,1.4108866096775563,0.9845624335616414,1.0220867294635176,0.7566453571160109,1.5831154961372154,0.6533135455104631,0.6392516549540878,0.6044981623172243,0.6445010619354674,0.6156729821684379,0.6380122897181019,1.0114325044534023,0.6652820061624632,0.5585746393871328,0.5631603198960626,0.5350974483399001,0.6240471989713632,0.5591836698143832,0.6422851615721024,0.6382900648088758,0.8306002607859441,0.7283465398339202,0.6462694883497209,0.6151112553698769,0.7038472527012526,0.7117430916346028,0.5692577560577651,0.5564736540741033,0.8498813794998756,0.6049747731774399,0.7661522442034485,0.578416016216661,0.6561565066466012,0.6389753586319757,0.64104814909945,0.9571725115020433,0.6051063958504889,0.6278034499361929,0.8311129485611275,0.5271171223992311,0.4458950493613216,0.37474909062886347,0.4136749280158558,0.37671778597282796,0.3875333565763971,0.4391888815041573,0.4569048096222305,0.5505205519179341,0.5361814881105472,0.46090558567323625,0.42582426294448916,0.41214230738037794,0.3433499157025894,0.35349467554756725,0.371546723005363,0.42308821049227213,0.42812649969962374,0.43999188946904344,0.5195912837577081,0.5236073051542509,0.585110149708512,0.49508380590799445,0.5886630343365068,0.4948384910167439,0.5240532753292932,0.6951550316697299,0.3977023542205651,0.3964297546181795,0.4123449106148978,0.7170674363476467,0.5941675745617285,0.48423264779036634,0.409137720529272,0.3792210235601397,0.3928085739023383,0.3548043936603452,0.42928613074409205,0.4376131524747102,0.4666459424440726,0.5777688896878156,0.6234471931194964,0.9990744311197274,1.8852365581885437,0.9674918359018175,0.7378497627376894,0.5593313009632292,0.6327603205709237,0.5007887864141727,0.5968754637483851,0.460972515445506,0.441271888141414,0.37103185969915947,0.4151070627129385,0.46245043933958496,0.5255664939096176,0.508667841633972,0.7628000727643722,0.7665575022455912,0.7748324208758834,0.5279425769516402,0.42623728747170964,0.44749939164515,0.45482955016958376,0.47120526945138885,0.5567969589487642,0.5426755048700885,0.8165700889836836,0.5534538592426523,0.6549646905847837,0.48125751020967283,0.516745073370142,0.5171757517496149,0.5021469866985344,0.5071260990909341,0.6030896938599535,0.6042285459179316,0.8674598715015234,1.2101291189565335,0.8637620199538636,0.8727130296584634,0.8860923796516375,0.7362674233848866,0.6806996644152695,0.5340614121216185,0.5776142612009608,0.7235116322386583,0.6412531893153627,0.6674926898699927,0.7693766449417834,0.885803623248299,0.996760311999635,0.8295502293676156,0.8848372910812837,1.0540713877135035,1.0549281155700188,1.1009571541572478,1.1180740560788334,1.2642449848773876,1.1727607959960609,1.2482983364201055,1.3811832718885868,1.4242965027894532,1.3744072746350664,1.5013225733464448,1.2930329388260295,1.5529088645909777,1.2352687992229134,1.2525294533570352,1.349229672892337,1.3004341805260657,1.6922925970155889,1.472597297397845,1.9279317843604764,1.2431004210341474,1.2935670024701362,1.278809947727833,1.224956801399403,1.1375878076518389,1.0603958907239839,1.068939625309639,0.9958190014385748,1.0249007527371625,0.9126799734505561,0.9803316730209214,0.9180053745100812,0.8666081661737616,0.9451449963683618,0.7873582203475792,0.837628132863616,0.9211914763032155,1.1594811533870246,1.2565343615552347,1.3965127278136988,1.4285847662483662,1.2051874594209118,1.3305868805945602,1.5854316571204394,1.3900725387272506,1.2838692085329497,1.5063826629135886,1.5630710575973312,1.398725353798707,1.516634177792622,1.6949939415528341,1.6666765907015904,1.5583037479633488,1.6169165305558526,1.4836920283106003,1.4361065999610663,1.3178327757716497,1.2984384360754273,1.348526531476275,1.2115750319412297,1.18818903826771,1.197232985937111,1.197544843176115,1.0384839966583106,1.0711671035418133,1.2656536757092895,1.066599010400934,0.9605675395344362,1.06354413535237,1.1791161842282765,1.0629126357889296,1.0602215626093003,1.1465075944195529,1.2130590002082124,1.41518780797684,1.055108110236881,1.040369772513969,1.0477038955123967,1.037972311776132,1.0337411191571464,1.099432957347324,1.0678225555301093,1.012071442563094,1.0109011232406446,0.6431183879153979,0.500331992889682,0.8107994026054723,1.2238722255305212,1.1936766761651199,2.081332000313901,1.277186028683821,1.2996432842686434,1.9172651527364541,1.7635699738399169,1.6805018917355512,2.2727777844898522,2.8135215228839834,3.8803122971779667,4.656725222272168,5.663173500430093],[0.6495315147219325,0.5825315183570635,0.636733113297542,0.651473367892684,0.503468881878633,0.49396597419292243,0.36355287172549167,0.4714217823634948,0.36484032525286353,0.36695873184333866,0.4118802966542126,0.4930789660202707,0.4326596948703903,0.39632512957890176,0.634389691327675,0.5640685120939953,0.5001719509613143,0.59275337436529,0.6478842966732189,0.5964048023699476,0.6452766529939425,0.6238113426526496,0.7164606480444095,0.7964775863050109,0.6273926661408655,0.624270488716558,0.4803666794493023,0.4633584416869931,0.5216108929923184,0.5438060439805589,0.6358798944849223,0.6415255976167422,0.7105256393787003,0.6853626291603347,0.6176287025438891,0.5845764282341462,0.5837842704550168,0.530156611172611,0.4670775746585039,0.49662279734851006,0.4558405764280568,0.6356976887003833,0.5819579582299956,0.7381670905960851,1.0594802513402546,1.4759334705113147,1.426115239887151,0.843510690898029,0.9569521198680518,0.8694380093409377,0.8035669219068956,0.7287069076993269,0.767256724457276,0.5868117101084902,1.1566434370507983,0.6430362903041043,0.596242804763627,0.7693613182517316,1.0250614230792645,0.8415975951802439,0.7488380961245865,0.7907706885315737,0.7509816168329085,0.8797946016305889,0.6938952497750962,0.6594566698821994,0.8920584321519311,0.744776392731194,0.9062930390578209,0.8251063443632439,1.076657415862101,1.4423816407711105,1.0021890300439065,1.0195838260599488,0.7784745920660108,1.59872067045668,0.6892723920515506,0.7065706950860392,0.6566517834230358,0.6870767281471188,0.6749976987085511,0.6900066809201135,1.0404563221939183,0.7519608897075841,0.5723000198747076,0.6048542832033044,0.5681112315509842,0.6708941950606995,0.5981750280689054,0.7072509229562591,0.6822025478620763,0.8719504048802591,0.7864643128669576,0.7192809676176747,0.6776126935695576,0.7754950697396497,0.7770310765139171,0.633516075987223,0.6090457809963743,0.8731036655958281,0.6548972679908985,0.8154432733290667,0.6363590437863179,0.7144699857916552,0.703269882857083,0.6767924132306575,1.01704256053333,0.6662875274862841,0.6935344641170998,0.8373327409637027,0.5779612845077621,0.4838473549962827,0.4065113771381776,0.4234292295661968,0.3781678694533425,0.38376018338793527,0.4363219305928737,0.4526152286628732,0.5362618290355239,0.5283506888546735,0.4583137328270683,0.41707281880820934,0.4085322890488594,0.3389511434951007,0.3504196355177954,0.3761441921419143,0.43636581969902294,0.45363372166309,0.4829895357200336,0.5802995252113706,0.5825314842006042,0.6452794053249727,0.5543201706526556,0.640700361116685,0.5336893394217437,0.5438652319103385,0.7116245612641109,0.41981900239354664,0.4021728925937264,0.41505917454355173,0.6984280249904724,0.563085890150764,0.47543126781089823,0.41528853133338917,0.38260621019982244,0.4120302419133088,0.3672185166724404,0.43770625367431626,0.466048180300245,0.4849923526935575,0.6086074812933636,0.6225713456034805,1.0174288285344808,1.8687529493854393,0.9066935007062246,0.7586122566922613,0.602761459241865,0.6795430494727233,0.5475619001589813,0.6435493835900545,0.47429787058494494,0.45625156814031553,0.37562095883784546,0.42617577332163414,0.5132064085578859,0.5111204425515402,0.5050187179116951,0.7252376560944608,0.7611005069554031,0.7640691989661691,0.5302470284879535,0.43790715618786846,0.46438325432837696,0.4796844259552909,0.5125241863899722,0.6177385968382727,0.5908476066140091,0.8655941351824684,0.6117957871182256,0.7133380429468246,0.5103927260613422,0.556187309432771,0.5758148624274021,0.5509659117640132,0.5396684325755203,0.5969793920029157,0.5752892147576808,0.8628807004156104,1.1574890530940039,0.8332141353027449,0.8423222116880573,0.859481293011208,0.7371697129836237,0.6953646571366598,0.5851206520854778,0.6504735177885214,0.794066310694978,0.7131316458713579,0.7368740237380996,0.8084939224771143,0.9684731812943438,1.0774162904729843,0.8844521665901416,0.948082102735738,1.1295927951602702,1.1101984524798258,1.13450702928725,1.162749519692148,1.3296087359320168,1.1911352867055978,1.270239656256815,1.4220200002955345,1.4361927751927996,1.379822210741014,1.5219985378249032,1.330416034904988,1.601682494967626,1.3054588669042875,1.3042743260447676,1.4255443523397642,1.3953855229144592,1.8047651776144469,1.5856367507097255,2.0306318119341613,1.3582710230025756,1.411264363319855,1.3965732517950962,1.3565445571827273,1.2601734399185065,1.1679335067821655,1.1874562728647164,1.0981830274318398,1.1160905367580636,1.007910050562877,1.0596529683423848,0.9952220259393627,0.9336829871259065,0.998932847783089,0.8741843863164156,0.9081536317784701,1.02029636520959,1.26188169377017,1.35460199712697,1.5355843260561184,1.5316228887221963,1.303968636047026,1.456134891595598,1.6983127711808,1.4810808487852056,1.3717745237081462,1.6154027464980623,1.6589895745435859,1.4722597470391834,1.6288517816870223,1.8121977535699585,1.7364068836838498,1.6370696999887338,1.7228446609638226,1.5813534901715232,1.5562002301928082,1.438072852791394,1.4272256567077108,1.4587510290945747,1.2960032389038358,1.2988766679111599,1.302342102628951,1.287004990268724,1.1131222644629184,1.1620999797766187,1.3369708553823016,1.1262372887402436,1.0316061155159817,1.1584413887569682,1.2369958276246784,1.1171600532848844,1.1092968790357507,1.1857553948561261,1.2386881068487088,1.4847841051698598,1.0924726849222943,1.0897067045382092,1.0873818844939591,1.0790898810488274,1.0713954861128945,1.1126466323453514,1.0794035159473645,1.0539380514926349,1.058170784015453,0.6881434850119093,0.5446952307162605,0.8251152318454168,1.2628342121306728,1.2595202682080693,2.1683180671771303,1.323341229554674,1.3380651594966226,1.9485102088848665,1.6922020624701324,1.5868890947388206,2.194991143899041,2.77749132527166,3.7577064114308385,4.6179310202399995,5.560379948648951],[0.6444336874526267,0.592081057183203,0.6537294232267289,0.6407868187669276,0.5425633359272899,0.520993413278945,0.3993733393352789,0.5220234780215117,0.40034835524406726,0.39496417031113373,0.4366896657680108,0.5002853257103738,0.44413424183163913,0.4280290379050372,0.6316652708374144,0.5662903365550667,0.5105860368014035,0.5929476863966463,0.6574813978022064,0.6033461500104649,0.6529149296809601,0.6273242814917822,0.7371160947590538,0.8288247328277875,0.6534953966575736,0.650254427071719,0.5163877348899923,0.4914974700480083,0.5302714441316363,0.5467201455498312,0.6266829307308328,0.6337083111161476,0.6970868231256547,0.6737993428755312,0.6069700664376642,0.5741981854125777,0.5828201811267096,0.5328307953066147,0.49211998192426404,0.5155520133914716,0.4784286359013256,0.6405988754925,0.5838294555181447,0.7532147081999648,1.0959050760676705,1.5075809207087454,1.479921479725615,0.8679430628346124,0.9611154832369431,0.8834493493679653,0.7845206729357497,0.764783700769595,0.7822799138851653,0.5915197384107158,1.1297749487215871,0.6456507702658144,0.6041787987098044,0.7754119882025681,1.0035000002642676,0.8300277418644889,0.749022156810868,0.7896665377170758,0.7357455403789988,0.8906174942202392,0.7047491542510506,0.6573535270539733,0.898968620163212,0.7434304720768983,0.9176201873611411,0.8277757765914995,1.0710662528962205,1.4562655340710122,1.0043041360128655,1.0496232073958036,0.7875132698478067,1.6031464938241942,0.6930988072570382,0.6958330565856297,0.6409966724469086,0.6668440350066015,0.6715874265550169,0.7090162564985985,1.0451304578090481,0.7541403978072744,0.5911631450856728,0.6129985393356396,0.5669099537392261,0.6604258623686133,0.5853139586915188,0.6888777584720615,0.6801530157951121,0.8654650354591756,0.7773318563056155,0.7061318842772132,0.6672529216650769,0.7612425397204211,0.7631627258482867,0.6152799131595844,0.6037975921889068,0.8647367304791257,0.6470500212684943,0.829782911475611,0.6477955655850608,0.7382670356760059,0.7389219704012521,0.7105281292343152,1.041587677316529,0.7075880551067274,0.7396806410090225,0.8654320656220841,0.6248109989251444,0.5201099721287135,0.4502217002823206,0.4737128540041818,0.41698658424527335,0.42366368173849817,0.47672956417105955,0.5037166418331538,0.5764673736651292,0.5534619538353023,0.4895987798318328,0.4485961772396797,0.45469831658097004,0.37175893521926384,0.40093341293614937,0.43162776641289535,0.4790309381849742,0.5046370139464802,0.5321996957784866,0.615460567268245,0.6241167408348685,0.6848687750526156,0.596758900927176,0.665846466694773,0.5810174811240718,0.6078776827360518,0.7498820645193665,0.47389833631790756,0.46803658072813303,0.46639745398908283,0.753997960780075,0.6325552747555658,0.5233529142590934,0.45189065321097016,0.41861258872743745,0.4508559039973197,0.40739978013001377,0.47393718098248455,0.4917829762656965,0.5112525397952071,0.6497967237381702,0.6488113308095197,1.024721284622438,1.8128594289721174,0.901558054494499,0.765526643098396,0.6139374975436279,0.6992082152583486,0.564653708608604,0.6540512184011261,0.5001415514508121,0.48423903998353524,0.4057444222337135,0.4432940559984421,0.5184314959501576,0.5401810184708604,0.5643889720598672,0.814494591752961,0.8473579002163778,0.8338360084923467,0.5850219975463193,0.48303015384959574,0.49242661136605287,0.4999223813412787,0.5273304299083703,0.6377249222068355,0.605303666023679,0.8748775177416016,0.6284710772468064,0.7191710610952563,0.527624928206174,0.5798472216996892,0.5993015888092447,0.5794300930371448,0.5691921883043878,0.6108137310922345,0.5964569983913114,0.867894262141961,1.1878505537775217,0.8568858921870147,0.8876735213390723,0.9070417950445444,0.7837262700693904,0.7512376712242683,0.6441910693463639,0.7057413174898816,0.833335402383222,0.7820252190677813,0.8029226999959309,0.86119703085687,1.0491639470309906,1.1520581119919484,0.9490080603605335,1.0335304204345557,1.2309254813476547,1.2010399702577428,1.2020717759700783,1.2671829396902066,1.4537099304189935,1.2827902538608575,1.3679008764000775,1.560608658425895,1.562255914233331,1.444470601695083,1.6374454412625434,1.4422684294035404,1.7458179953336233,1.4377014851072847,1.434951006978571,1.589578639897922,1.5711652146829458,1.9053013971243835,1.8019965279194676,2.2022734449378945,1.5074340367110433,1.5507796567950076,1.5035985247262365,1.4590313139893791,1.403187156446858,1.2855538287234938,1.2768704234317159,1.2178587018468456,1.2465214096381125,1.1072842222332353,1.1061455731963068,1.126434819688281,1.0340484094154547,1.0699578294350487,0.9593507689973365,0.9763347787126256,1.0866120225415439,1.3373959749529598,1.4166350162069825,1.6423516287027475,1.581560249910432,1.3771896434966706,1.565611536508741,1.7691450494655063,1.542890636613137,1.47975479432713,1.7436467065018728,1.7813268455736575,1.5942621788294726,1.7800413687523022,1.9748769758407863,1.8915505641517727,1.8031791110656588,1.9131001842920667,1.7505729022988838,1.7208064374779908,1.5754047710183041,1.5754945716970061,1.6322616585140906,1.4320620218736697,1.4226121491081303,1.4512291355518085,1.427909580938775,1.226646523040125,1.294265589863605,1.4758486261018002,1.2363862171181847,1.1290054111363361,1.2804904281736802,1.3464853600248978,1.216550769768946,1.2116693194143453,1.2933664904391624,1.3033598673104052,1.6149785638693082,1.1548412141162816,1.1916693031806802,1.2097648507948247,1.1099834742155983,1.1223159068231543,1.1565143840367584,1.127792595183914,1.1176812386442183,1.0825728379135044,0.7407228608753057,0.5783227184251791,0.871238098482184,1.3239519379148939,1.332529894304908,2.210431244510813,1.427836652491118,1.4384786961438336,2.040410044627434,1.7817741111577086,1.6687500237030375,2.325692938483138,2.8987956927714835,3.8342346185640186,4.6993047596708415,5.543949527974004],[0.8026417164497758,0.7442444415852479,0.7972613024209277,0.7116040107735876,0.6190214312399174,0.6066405621775487,0.5369788648067132,0.6734084239834862,0.5718423650525845,0.5607537849690953,0.6310156505371899,0.733731690775013,0.6697309325659908,0.5909555032936835,0.8298230889785692,0.7925227542482444,0.6946425653673316,0.7669808428080702,0.7841199305276705,0.7570153257066486,0.7908128116675535,0.796289281289839,0.8407552862855862,0.899902543767735,0.7503333020819597,0.7333826340215236,0.6332161912372698,0.6317638938838813,0.7154727825043863,0.7660264690295789,0.8650015913775457,0.892166579937201,0.9546824874459189,0.949368135801608,0.8762682940608677,0.8188694109911641,0.8342841968068485,0.7368456995183945,0.6654532152013279,0.6958007101189123,0.6489534425580755,0.8063642392262385,0.7727083322260563,0.8841659558644829,1.1605775167931756,1.5643458229109342,1.4999255509131109,0.9749807754246019,1.0838651143430884,1.0122806948227383,0.9625391293962828,0.8842946935143747,0.9281128100052293,0.801805096046461,1.3306809417662637,0.8532658731240068,0.8019967981064166,0.9603051206282633,1.2190752479209823,1.0301703823503459,0.9320663572165745,1.0250012405764475,1.00519311400985,1.0135921296439605,0.8417558275398644,0.8562775576900452,1.0126668095819364,0.9048979118345047,1.031556703773208,0.9648935342492901,1.1726346217722154,1.535744237035331,1.1378880378790692,1.1411282636320936,0.9535450633123393,1.7414323670046554,0.8948268580576525,0.9709415886952328,0.9136797256800545,0.924789146816982,0.9085658606521465,0.9036774166796054,1.212480141935847,0.9781717382832213,0.7645016841927128,0.8244142431422505,0.8023933204848737,0.9018524515422927,0.8364348923195079,0.9799133200884949,0.9113818835920829,1.0893837507159085,1.0185452467564011,0.9783969885261431,0.917901632990526,0.9973887465104423,0.9457793426781385,0.9196056904362274,0.8833877913834295,1.1319923973137245,0.9362511706059236,1.0379378733692803,0.9002148073883881,0.9403140795753585,0.9221904442798685,0.865152674901628,1.1693613652996109,0.9195548929494058,0.940946447857172,1.0446246731423623,0.7738155807739528,0.6891134081975975,0.6085446466754652,0.5930732522667841,0.5611755089897736,0.5323949132485664,0.5922273655983162,0.5852608610072226,0.657920886864052,0.7004905030736416,0.583629348034059,0.5714164549027994,0.5269921044159471,0.475933422920812,0.49360091658666716,0.5243620101634265,0.5903128319772382,0.5967947004204344,0.6608398690236339,0.7585729281138436,0.7380652382505076,0.7908924810663952,0.7315034033498916,0.8175488106779313,0.7161390842453078,0.7375203939079142,0.8428820198948146,0.5725221556214956,0.5305047880348613,0.5585473236421927,0.7759580470435707,0.6682506522660308,0.5910827401284059,0.5655327747021592,0.5704138068119582,0.6003124061337386,0.562768695679417,0.6353526950154493,0.6861874202856417,0.6908961928314402,0.8129024180909123,0.8370951385393721,1.1815498190519835,1.8241591396587251,1.0790468188395719,0.9904982789496071,0.8656710546504782,0.9111990195718944,0.8029373470981768,0.8445921798156969,0.6830451605171005,0.6665345885645663,0.5751908298765355,0.6354810105978981,0.6827950164434544,0.6414547564354667,0.6702826722534797,0.8613445564779806,0.9174157971937019,0.9104578735417429,0.6957999889884053,0.6134167969536009,0.651529524994175,0.6856801056684442,0.732625410655531,0.8275355748803382,0.8134115527657156,1.0673044645298746,0.8118487752206541,0.9281129985730401,0.7221880493688242,0.7747028722376148,0.7857691099980968,0.7692260824374908,0.7268091010821051,0.743191186169117,0.74569581024549,0.9749027957138865,1.2782957881940513,0.9233444461843349,0.9452843473040816,0.9459647805258354,0.8868324259823611,0.8625458972166704,0.7625782540898096,0.8417592805904368,0.9837668199084358,0.9197138322600215,0.9152442588069434,0.9464871576709704,1.1858814642348612,1.2850808227945703,1.059985532149759,1.1431931215466151,1.3490766649085304,1.3074903202362167,1.2729413477056242,1.3460894200158646,1.5547160745784576,1.3444871123465354,1.410527613800281,1.6034205813515108,1.598972119902657,1.4683652558107987,1.6455466107504793,1.4798837158272697,1.7718978492586734,1.501174581318053,1.491458037573233,1.6521770561663682,1.6519373613536743,1.990039847755241,1.9137333540337533,2.3442673207898133,1.6631966958429754,1.7205032007087513,1.672984295870772,1.6330032537416237,1.569174357336165,1.4254868445908049,1.4153509840289458,1.3421901636061089,1.3406634498432202,1.2202851552705427,1.235959610147344,1.2143798393806624,1.1474727162784395,1.1956836798992054,1.0825513511119005,1.136217672092212,1.2323165116833308,1.470123476483492,1.5751153266284534,1.8077634734018324,1.7353757442707007,1.5244739477378935,1.737762089894548,1.9547461512255537,1.6712416320690229,1.6138510244323934,1.8832625052522025,1.9111453515532897,1.6990666895798874,1.9054911041378,2.0932754280018564,1.9746769183322934,1.8941764613664713,2.011916121954469,1.849944209150861,1.8508839647579247,1.7224067611016634,1.726657509803591,1.7526380135031265,1.5406288373495607,1.5547502116347982,1.5664493553764514,1.5315639494453344,1.3371080965188982,1.4094318445939902,1.5632775802824457,1.3372431809952183,1.243209036002338,1.3889657244239775,1.4369193652907197,1.293100030110434,1.2856054305032592,1.3775962912408932,1.3777003993105068,1.6798664892816653,1.231800215557569,1.2527606276608259,1.247359154283892,1.2034917025562644,1.201690092505334,1.2150888641364979,1.189034559852269,1.1888876101546813,1.1189884879705139,0.8260942216587618,0.6744062563376776,0.9533624706753643,1.4383304849687175,1.45169257679575,2.3134288482379555,1.5209163564967758,1.521045706565854,2.0864074901277956,1.7908893157427828,1.652063735195596,2.261028640614567,2.8789841593334127,3.71108289008214,4.6513850611407594,5.441447568043729],[0.8921065177646413,0.8350704175899535,0.9219925267985987,0.8019014818948295,0.7214843149573045,0.6593311117852693,0.5964887119873882,0.7490802139916852,0.6367863150784135,0.6222902537175619,0.696956602813928,0.8327203468921914,0.7537167025876561,0.6458378024618678,0.863719846096095,0.8615308657077064,0.7433718560447995,0.809971812810909,0.794645192272561,0.789273042020694,0.8102350066426052,0.8166268368736502,0.8420883641105629,0.9041221242323104,0.7680936786699151,0.7471913956594421,0.6635679017680034,0.6760834259359847,0.7728539333221339,0.8357518303021935,0.9352322705918553,0.9676883952478655,1.0168918099627138,1.0319527267172544,0.9527857091690249,0.8890975991962192,0.9116418199808308,0.81265079726209,0.7313988929049792,0.7808949855158541,0.7128609888588135,0.8442902837967238,0.819915114656105,0.9230310166975997,1.206504057080794,1.6287713179783776,1.5467412893620989,1.0104809390892524,1.157942987071653,1.0582391507900102,1.0388435483402856,0.9154080761126578,0.9953401994598423,0.8771403469888851,1.4033976984664094,0.9405806993788988,0.8748668445416028,1.0504890085939478,1.3031963986725583,1.0675351237120256,0.9678093970822936,1.0284275644552339,1.0194908612381088,1.0213048494918509,0.8576786185302989,0.8807185027998069,1.0472557704949805,0.9514192796694971,0.9935736305503139,0.9829906388157124,1.1267923971906968,1.4988512112457955,1.1838036821542408,1.1788601291760952,1.006820203984632,1.6966969457347754,0.9398298065076038,1.031378238568709,0.9749662618243041,0.9918161530289146,0.9831690797480653,0.9994035302812732,1.268017109420795,1.0284757333902845,0.8573641124123899,0.9286631661415842,0.8647419390613373,0.9692182934093657,0.9006183202718302,1.0704970804552112,0.9837935798305382,1.152192637850083,1.0896131016385302,1.0624548079867662,0.9887927937418665,1.0679915058069671,1.0195684999690076,1.0080094280998053,0.9853411985263597,1.2131406101076,1.04051767888718,1.1344476805861108,1.0196387673879823,1.0394946106140344,0.9931491982740716,0.9367273222030402,1.2297429369916109,0.9801661068437888,1.0059808586833978,1.0697767052424345,0.838733959005912,0.7655868267889663,0.6842472961280273,0.6576624878001601,0.6305873796882207,0.5841725615250012,0.6099078195992788,0.6225194311275418,0.6234652141640359,0.7001473039106453,0.5893672793783332,0.5691293734256363,0.5815942030558527,0.5381834776205071,0.5522853607262428,0.5894043270496183,0.6528489370457904,0.679594967957389,0.7507675340288366,0.8477275918600187,0.8384555034707499,0.8926413717604001,0.8336541001959222,0.8966231359927479,0.8041996522271821,0.804560814057065,0.8834190260988373,0.6659897063453366,0.6140643465618989,0.6337034238104443,0.8142635964794536,0.7290876227561282,0.6508263815546091,0.6273390921867711,0.646037135395185,0.6951152743484167,0.6470768281648575,0.7328992927387685,0.752853865305287,0.767881987135909,0.896379850989646,0.9037273864172906,1.202490435862992,1.6872276780064506,1.146845302632616,1.0683440860561382,0.9578881549878913,0.9948721299659123,0.8935332423589092,0.9207697666355302,0.7579558400397005,0.7447850598364065,0.6518719702464134,0.7074095607640815,0.7507332636431113,0.7167233874492408,0.7441562188737413,0.9232358947981054,0.9969593546668277,0.9867785238085784,0.7598432858840216,0.6959492008352947,0.7241621235860886,0.7586225218597111,0.8217467683962886,0.9210479315315825,0.8979263788923217,1.120739096406806,0.8993159876070299,1.0120034570043688,0.8199949808310367,0.8585337228864335,0.8803918475124928,0.8648123684940029,0.8306462242765795,0.8543273516236,0.8147614502249525,1.0051261129881481,1.2914993582854803,0.9746961348208516,0.9712905964033007,0.995243681920483,0.9541827445070545,0.9354532111723616,0.8662789191521081,0.9676134787225427,1.075974845037583,1.0306389507076914,1.0347710211832204,1.0494986817492609,1.2804527851962113,1.3625454723659738,1.139028007658329,1.2262792308909742,1.4261444402786165,1.3689518241575054,1.3381586388908242,1.4163653673965173,1.6206369537238148,1.389795516100935,1.4649059728591936,1.6570138753107115,1.6300943778522836,1.5094830651937872,1.6967892051043627,1.5547669887595281,1.8397491973398676,1.6073455710912283,1.5730431372493963,1.7348792893034688,1.7474487705588913,2.0715296673164616,2.0108589535318515,2.4163979776831437,1.7570451218420586,1.8103327197046553,1.7684925044296314,1.7228715624972974,1.6613304182442565,1.52758175297752,1.526158219837356,1.460715099914408,1.462608396654476,1.3412497224621562,1.3385584456246675,1.3356957782547745,1.2515722337800153,1.2853386677406595,1.1936227835358715,1.2242867927220393,1.3399115673486304,1.5618306363887797,1.6523344539454752,1.90366405054215,1.8156980808586294,1.5920008346469166,1.8174822791694523,2.012352276212272,1.7442986442754214,1.6802547582765806,1.9520717909457799,1.9743639505254356,1.7606261995019254,1.9779463407579767,2.161489633524936,2.033322525320852,1.953510288732985,2.0817975177809145,1.9225443184764273,1.9333688898090844,1.8043739427631247,1.8177192959289827,1.8402237942997857,1.6236966222475748,1.6489206992537087,1.665479100088392,1.6291893322984088,1.4318854417436295,1.5161409493967917,1.661159420173029,1.4336389767613256,1.349672421699516,1.5063430130992554,1.5443170968869644,1.4071327645717515,1.397889748146324,1.5026039670671227,1.4899191206997484,1.796203139586243,1.3519728627063456,1.354637363156626,1.3371943949393919,1.3358105716951871,1.3186475402518076,1.3168602438245103,1.2865256815121977,1.2950840202442666,1.2206377777696638,0.9312739971547305,0.7733359877841581,1.0106792353485716,1.467269148630785,1.4912209788817867,2.3288015386567054,1.5794861691016313,1.5676051545376533,2.1121290341042616,1.8241572556740326,1.7100135652238067,2.2963316610407727,2.9507110218225163,3.7425098394182625,4.6718535903668865,5.4179214830050615],[0.7969312440498636,0.769512548771556,0.8704572590600378,0.7951639353928273,0.6957214236063849,0.5884110218690478,0.5162849839299222,0.634533209610935,0.49183216621270187,0.46801236743327734,0.49801455563548364,0.5707028117490913,0.513481468667435,0.4843842982719515,0.6884826265103531,0.6283931151539217,0.5729749336279076,0.6360961227872257,0.6543989728314771,0.635060911517562,0.6560999312888321,0.644536910518047,0.7220141715960413,0.7833459848245797,0.6927090837810722,0.6578302662804965,0.5564848198852106,0.5505308506345401,0.584254478014795,0.6134615779301561,0.6775304369943398,0.7145105945817081,0.7170566530317043,0.715945648846715,0.6672911349075201,0.6312478509323434,0.669697974817558,0.6187317312871252,0.5719177316237126,0.5950938850849383,0.5625603414765636,0.6859893313865145,0.633321324005434,0.8032056420608515,1.143305637614443,1.593392043322708,1.535658460789527,0.9075306286544846,1.044554390354431,0.9351195230541363,0.8051445624707892,0.8368477545813082,0.8319132838133232,0.6727008536975839,1.1502023957059213,0.7065783583824298,0.6605855886377646,0.8195177195177062,1.0420360529040205,0.8646733547289827,0.7576817524052849,0.806532249682737,0.7502716816594082,0.8739804960813862,0.712502559180142,0.6864731349555259,0.8542441661620735,0.7267251098765617,0.890099195581439,0.8253366499421609,1.0681192071321415,1.3845599058167575,0.9850672389706031,0.9894440059404532,0.8016886350718814,1.5549086758507957,0.6987847255568593,0.7090854305093066,0.6804630992755543,0.7175885269925247,0.7426054598698206,0.7814962560494353,1.1380629497366,0.8166503139319463,0.6703883869726451,0.7090762965034217,0.6368132795423347,0.7347986560904043,0.6409621733720271,0.7591416394018821,0.7067777947893914,0.8832297239979349,0.7881358142706423,0.7391210260022657,0.709779508733035,0.7973077341858478,0.8009099256414061,0.6793065847385523,0.6768113157052659,0.8943768458574674,0.7146063048771526,0.9145791547250364,0.7305548300893214,0.8122580117430385,0.8187938495022848,0.8006499989612224,1.104589015223568,0.8001591982358355,0.832405727555593,0.9181082996194144,0.7186941137473514,0.6345633891269055,0.5713947980330092,0.5903458296803811,0.5137669079870886,0.5097223317809078,0.546755226851371,0.5515780829938406,0.5854919088285813,0.6091451493078199,0.5296868779233945,0.49292192247203354,0.507052696978456,0.4618574722989526,0.4986319993428303,0.543708814065813,0.592050582958671,0.6303537142814779,0.6665722665649269,0.7265622728031428,0.7458106881444495,0.794899489392129,0.7248947918923144,0.7752178343362832,0.70189248574357,0.7330334437350831,0.8019734723804585,0.6102795864810734,0.5849534944917618,0.5638704157453736,0.7842232604800391,0.6613824469743457,0.5630515797986297,0.5359716793854673,0.5110936336708846,0.5374137341052384,0.5048530689253724,0.5483002548896838,0.5898941994572942,0.6004507689236327,0.754128989986678,0.7183458969618041,1.0484750391854676,1.6531096649236492,0.9072383634948067,0.8117279411872925,0.6870439428681528,0.777861454727762,0.6485162704296725,0.7542428788131447,0.6000326397390481,0.5799658534216172,0.5115033289718632,0.5447498336269586,0.6243484260741214,0.601839241971388,0.6635329758546419,0.875870914909891,0.9396138879217593,0.9198881653547096,0.6777000096995419,0.610834246654942,0.6108951205440074,0.5959320876302232,0.6304604007724837,0.7357093884949407,0.6954622145687426,0.9606236499873789,0.7232127514150017,0.8303622540704721,0.6329802538824003,0.6791097921932825,0.7130300420936662,0.7000767765337624,0.678821969063783,0.6847723796237243,0.6527479369566149,0.8763041125225716,1.235240687985401,0.8421107019813547,0.9121491719054056,0.9576851207498529,0.8928861075115465,0.8659095811179404,0.7787255895634034,0.8359909891710035,0.9394412441087681,0.9107329914174991,0.9172102999548692,0.9509717755926503,1.129719906060472,1.211883735265188,1.0239627256636878,1.1023395518162606,1.2772936123656669,1.243949904432777,1.2530889004547916,1.2953676143395088,1.4726974545615967,1.2943917074927325,1.3630077161141847,1.5469545628681263,1.553739779996941,1.4279232237976072,1.6009156299831608,1.438479255925762,1.6983251986313928,1.4480757897033458,1.4379751713484132,1.5707564023029095,1.5599795583385496,1.8940722420317255,1.7837235324744065,2.180557798716111,1.5345159826905095,1.5857925727021698,1.5489076428697321,1.501650509749019,1.4577449941308775,1.34335485651214,1.3439539136299739,1.2849953453192462,1.3073309763158094,1.1891555078497018,1.1844128690542153,1.2202791907960993,1.1218242065252815,1.1716829782120683,1.0625948574027362,1.0741114599338837,1.1699260154064712,1.3849546796329353,1.458987766424575,1.6745342547936681,1.609768411689248,1.424676252113346,1.6026833234137352,1.7848720206030146,1.5741864021048728,1.5082906681566004,1.7612925190782422,1.7980341543629355,1.616674518807962,1.7837237834420592,1.971594538083613,1.8900955748441404,1.7908032000214869,1.8909875845855517,1.7434950802665306,1.7239514416917987,1.596902021349626,1.6007268401659915,1.6371049804162832,1.4543363806450478,1.4633762388775187,1.475713183341617,1.4499908418489016,1.2783738662105661,1.3406174356764442,1.4985208754503117,1.279912354111859,1.2057400599407415,1.3340392246756303,1.3909515360119662,1.2648147213117666,1.2623800639718445,1.3267280296169208,1.341921464122149,1.6374997826695585,1.196571186192955,1.2341542306380398,1.2378651490088497,1.1894586291211227,1.1986545122528105,1.205641012512586,1.2027579201577867,1.2142260690113387,1.1884552672153315,0.8545603496220141,0.7072006259865836,0.9476476088183471,1.3766298245893138,1.3927829086235486,2.254858059117824,1.4912390734679313,1.4908554275705328,2.1024315687277686,1.8362913991265692,1.6878401594254806,2.3699116181707396,2.9702792041248824,3.8741989906542655,4.709377225807028,5.446624790325612],[0.6959536525416012,0.6245936355152718,0.6900268008746314,0.626417043866553,0.5379574271103021,0.5213432353434294,0.4177874217554939,0.5391830222288101,0.4254118942614763,0.42653770909284006,0.47505663642307594,0.5635840300559186,0.49690997082809274,0.4530051708436882,0.6951990398345008,0.626216107288931,0.5518615791184426,0.6264825302937476,0.64185991934475,0.6218161321529024,0.6421251276234353,0.6338882284551127,0.7059799419552978,0.7499869673367745,0.643490286828717,0.6183144177405542,0.4966797074516147,0.5060017719236939,0.565468306504303,0.6021463727859921,0.6906576385633452,0.71813526366237,0.7266443507531464,0.7330569116877796,0.6729114703679874,0.6363606929431976,0.6633337876720851,0.5958913844009162,0.5216321217312538,0.5495305320804023,0.5081092961185051,0.6671189425587697,0.613183195502866,0.7739445064551478,1.103995034000305,1.544667829148359,1.4783858718449365,0.8663910946534413,1.0017499294883083,0.8930086857916729,0.8169818849274305,0.7518557076912857,0.791228992451881,0.6277215934091817,1.160242310354422,0.6911261900899808,0.6304090695020972,0.8111935790632399,1.0514944585655672,0.8521950958209182,0.7609864175164355,0.8056847507914014,0.7566368767716237,0.857225456664118,0.7011809460720386,0.6802836038236744,0.8645524658757122,0.7398326390481598,0.8839890931445756,0.8292745253535726,1.0667024294876764,1.3860225603886163,0.9873173121540403,0.9890077173642755,0.8095003519252015,1.5486488868897814,0.7077378188466666,0.7257496145193231,0.6913499948851937,0.731706831779158,0.7428838635110583,0.7543628387613637,1.1068296558288575,0.7837223906187198,0.6365145499233016,0.6860004809628966,0.6271018282578814,0.7241281143527643,0.6460024431535751,0.7764598456632703,0.7201021780447676,0.9021528698315717,0.8084681381957477,0.7620817872776738,0.7304957357730122,0.8265789867867025,0.8181738239732772,0.6970906694155253,0.6837070567013062,0.9005720505435381,0.7133371955974521,0.8895657580467002,0.7065378520201993,0.7726736238192164,0.7697227674049677,0.7418530148730892,1.064403589709162,0.7164018169770621,0.7374132629375134,0.8760975666587453,0.6231799428689281,0.545363433125322,0.47540537934451244,0.48780213524367255,0.4370063885409428,0.4223034601788884,0.4772965668800821,0.4931296390452423,0.5374674404958955,0.5676567980342976,0.481607442888743,0.4418235912664963,0.4365620990996059,0.3878289489093493,0.3994966168550632,0.4415863757350114,0.48300463876714195,0.5007715158434426,0.5464781266992541,0.6386009034029949,0.6305792453855096,0.6958453587827695,0.610767398143682,0.7054704408849306,0.5797972925236028,0.5852229213054183,0.7460574468394698,0.48730448602551774,0.46688045959333624,0.4743216709631881,0.7119164723097715,0.5851667337894393,0.49927595889783594,0.45880784376674344,0.43963997807597066,0.47549367678290855,0.4292043029022818,0.4851708387902309,0.5264105039237043,0.534447790953333,0.6783916338127204,0.6786584751559825,1.030291827548442,1.6895540647475935,0.9231818186837731,0.7976492364891778,0.6702071235760408,0.7411121589903112,0.6195718498099329,0.6977309839020985,0.5411798054067003,0.5209483678885596,0.43678274598827876,0.4897595976641136,0.5564843380782036,0.5423699238893054,0.5498789608257728,0.7494058653883856,0.8047050705629101,0.8070636121439922,0.5672359998531947,0.4912146330383572,0.5316901043111998,0.5420137272493603,0.5846614941995953,0.6866396966580899,0.6582875019028807,0.9293709329510245,0.6817738996119694,0.7850711099647913,0.5884738853784104,0.6224882194895497,0.6465063535432946,0.628828451606147,0.6166117658848554,0.6701170735308153,0.6281175983952272,0.9009483901584844,1.1944540763110665,0.8634259234725623,0.8720166935497616,0.8398224455505584,0.7550573579630733,0.7204200458813866,0.6404679416775516,0.7120354999412456,0.8387276125594259,0.7673328436607276,0.7738703439943453,0.8438067092480948,1.0063806825595836,1.1168555361997725,0.9188828872320117,0.9699462590501453,1.15555865596317,1.136657441320374,1.1223390040559655,1.164554535824007,1.3522409711070693,1.1933800329002056,1.2546328161035705,1.409644090024472,1.438741183986089,1.3557963380617652,1.4865926797338682,1.2967690706280288,1.5663672561640214,1.2671257626424757,1.286657836381698,1.4004167822204452,1.3774300117720388,1.7978854144914114,1.564963081163996,2.020198719462444,1.3721728976430014,1.4380625138412102,1.4288330225997465,1.3829400202826205,1.2966568334422208,1.2013582353325938,1.226635237747464,1.1376433723870545,1.1515538792956617,1.0481379293175062,1.0864949426457666,1.0352910021772739,0.957598507623121,1.0406691226839635,0.9101355544088556,0.9553489531311596,1.0621426076825715,1.2920158280949963,1.38643302412012,1.5800422981968403,1.5648307599611568,1.3439576287829698,1.4965092045827062,1.7265002602611494,1.525028877953764,1.412062912703893,1.6598925708417231,1.7101017020361462,1.5154646572153843,1.6577471050274555,1.8434249070746689,1.7746230727298167,1.6507211282282865,1.7297035919727812,1.5874690308896167,1.5734759736107349,1.4661360549622238,1.4508745397075955,1.4675500481545913,1.3090083860240018,1.3212901327822077,1.3102155801053703,1.2887840618254387,1.1267524553160502,1.1761417113517714,1.330942399833162,1.1226621638673115,1.0461317249421682,1.1668551822373239,1.242560390794944,1.125832945829491,1.1111587371491412,1.1971942797990247,1.2571467050444336,1.4555172875066729,1.1154789448951283,1.073569348220554,1.078722444777719,1.1330898493374901,1.0981317287460026,1.141110582198673,1.0977415640873411,1.0580929051206611,1.0908633468736122,0.7215873623795567,0.5940773598226828,0.8414556343297752,1.286495809411756,1.2976696825743796,2.1912841017239755,1.3915700305947407,1.3872535175080711,2.01361314834723,1.7813423901242793,1.6340869449301774,2.284340289276972,2.888794831605962,3.8555402551465257,4.644451961682984,5.467232258822443],[0.6787593662432534,0.5540147941853657,0.5921871587920403,0.5073483362795737,0.4401635595739982,0.48364746564416355,0.3509388368987158,0.47240430154505386,0.3544329024489226,0.34238444406443336,0.38607516090376115,0.4717574530932796,0.39619084302449065,0.35481787101254586,0.5776284275305779,0.5031662529735258,0.45033877692674235,0.504270978319015,0.5494220189850721,0.5198711569148546,0.5502391683570858,0.5489107786482129,0.6316006080143892,0.6873749403814607,0.5975681000612818,0.5533291748638381,0.43539638631051875,0.4203414966013973,0.4632989876293869,0.4961113046713945,0.5575490549422947,0.6007369781070441,0.60612185442997,0.6010570035678984,0.5533503561902903,0.5274514839619614,0.5421577409967402,0.4905885308516657,0.42211713448210314,0.44797083433086116,0.4129247128056546,0.563135645520671,0.5143368712447112,0.7030179436306688,1.083712543761709,1.52562975938596,1.5030823446290666,0.8353196464165217,0.9409863301443608,0.8734240129525719,0.7563577590895553,0.7299801795715339,0.7104234321936473,0.5367215314204455,1.0753072146728118,0.5761190476319349,0.5673671337392142,0.7174941568430604,0.9138472178650733,0.7913923704547943,0.6974486103460206,0.722577701470199,0.6720862624433351,0.7570544619271415,0.6070735441765166,0.5920234879415535,0.7837732711939369,0.6238076218459588,0.7925929781379718,0.7172343715547926,0.9566360576283457,1.2971403501974197,0.8768784601859889,0.8976652501230155,0.7082700381454344,1.5217169131176764,0.6050303893303765,0.6072728518051793,0.5803880757205215,0.6023206960028119,0.6230739788437739,0.6667213453103303,1.0342049410623966,0.6877876902375608,0.5429472244839929,0.5724864349476645,0.515498018312461,0.6362026904062151,0.5327892445220368,0.6502410147524839,0.5997915946242564,0.8041884863297422,0.6863538133005966,0.6265280082300062,0.5904312977828594,0.6834597206720672,0.6560655160882983,0.5701528454735733,0.57499231391528,0.8377381995355111,0.615061545999744,0.7995093235094196,0.5919558607948131,0.6689287753018237,0.6664865649072084,0.6607675343103504,1.0191712988253256,0.62259695325694,0.6441945864109657,0.8727611604129982,0.543025802694922,0.46301266053265483,0.3875950880132362,0.41636541266032845,0.36106518710305374,0.351041144075995,0.4053101441178379,0.44603132023735326,0.49895532307615914,0.5159169547659965,0.42088777945197925,0.3829792847616589,0.3797856658446918,0.31529995188668963,0.329072115891725,0.3727150236354558,0.41036336989292227,0.41078355230963026,0.4432482885927959,0.5317171008538925,0.5118603161824741,0.5852235179534782,0.4957973693915112,0.5977918665740903,0.4815825696078296,0.5062018466964621,0.7222815883162037,0.40156950453835155,0.39612741044317934,0.40169769314493176,0.7028795695100786,0.5825567155650492,0.4378343517530681,0.37447570027678406,0.3548893488303585,0.4003407109916607,0.3470517284265319,0.41162729526486114,0.4342359226546472,0.4643403715739817,0.6100541853567819,0.6181854786748741,0.9627203520318837,1.6577286365251724,0.9286484127426348,0.7234052655279223,0.5786616844549677,0.6442520280677964,0.5144700222578678,0.5958657042488937,0.4486010631743236,0.43522689073851756,0.350098016855886,0.39403285334956106,0.49644804774897205,0.5272944658734903,0.5166790621876469,0.775181218325,0.8027232611159659,0.8035254179616325,0.5307090349287609,0.41500451509980324,0.43889589388993716,0.44898100790592277,0.4790245052450542,0.5797804541091035,0.5583661329087068,0.8192869642693408,0.5782621091354191,0.6587606876127599,0.4842048856788995,0.514082503247452,0.5193020619869458,0.5215743003882368,0.5286661237578614,0.6017739531094891,0.5822264849090408,0.8530238165798476,1.167963417878594,0.8771303623316073,0.8788471713147264,0.8104589043661216,0.7036189589682923,0.6670605385653378,0.538342096681918,0.6016358090903366,0.7502075570514702,0.6739957721453149,0.6950025078707577,0.7645379888616873,0.9440430640209211,1.0587464423168282,0.8612754689755151,0.9491171798767242,1.132056825344898,1.12708289590467,1.1274537483006566,1.1977170026737454,1.359699050578612,1.2474060074759317,1.3280812942267644,1.4860709753087329,1.532604617933508,1.4435976376142796,1.594447983923299,1.3748216714759876,1.6646217191394175,1.3265065402681229,1.342732492286375,1.4509612653191248,1.4036117878507515,1.7811951997928994,1.5731854160175096,1.9999010821096856,1.330642119569613,1.3780768727155064,1.3437700633204395,1.2871563337164447,1.2584489605836846,1.1556465614021982,1.1379210766005103,1.0865707419586779,1.1294960145727626,0.9915039807261335,0.9977787776465996,1.0231887048402437,0.9417050708468955,1.0032529330236248,0.8597158455465561,0.8808029875241749,0.9632902435145259,1.205182320077406,1.2930906518638894,1.4815785366024476,1.4537384157825672,1.2625895596934928,1.4080233478885047,1.6158284306792445,1.4425283568008196,1.365214311397822,1.5923426314712446,1.6494138394336766,1.497087056588755,1.6156238058243377,1.7934619934427805,1.7776225007290376,1.666913421005027,1.7277415996038823,1.597783756390025,1.5403704092093469,1.413766471321978,1.399311248023649,1.4595125355215297,1.3141587493624916,1.2875489453090374,1.307091176491002,1.304457475190519,1.1288883920310369,1.1723963912330384,1.3746052991651592,1.1471642371001607,1.0443328499569375,1.1705341164459444,1.2765097319255982,1.1460104942967666,1.1402840136443284,1.2254206887171877,1.2711258763877962,1.4961661452457724,1.1243889511103144,1.1113312392840757,1.1281349789233501,1.0931638466781897,1.0796084100276737,1.1435691094206921,1.0837737297414525,1.0157206522239068,0.9750298379347313,0.6401035403920902,0.5149054815644788,0.803264410464934,1.2501426217297071,1.234353519532766,2.0528737003226816,1.373206960687388,1.3929495956639277,1.9871844278312853,1.85741734906312,1.7776304537178342,2.4182440155732183,2.9287729218034912,3.9838679250404403,4.677596200258048,5.51642956059227],[0.6640005195754584,0.5552046696701352,0.5186076416299702,0.5091318468364018,0.39414779624580965,0.4560559265803698,0.28767405227719484,0.3939007255721391,0.28417512156328184,0.29807271512133376,0.33940974157712367,0.4074537824494977,0.3368956901735311,0.32519709548769943,0.5557453239429279,0.46907383433658767,0.4214181495365732,0.4873808443692168,0.5482016333581327,0.50680856440558,0.5415018975060273,0.5332970998411946,0.6298357504271119,0.6993868494356458,0.5887171646494391,0.5549892097628605,0.42395888830266665,0.4042847542080326,0.43852072794458136,0.4509753820305442,0.5211952215432872,0.5329814610290469,0.5405136619552229,0.5254841110156365,0.4765592336426078,0.47005443907928757,0.46903078116953817,0.44923841283431076,0.38249538678949335,0.3941170421549079,0.3853262326505993,0.5429938233026467,0.48943067088277054,0.7014784475374779,1.0867596005169375,1.516445339294168,1.5033292747384812,0.8313426889309614,0.9344850522609214,0.8735901641503261,0.7368199354962061,0.6998956549499332,0.6790666501057977,0.48606868157935645,1.024210686147915,0.5236267287133871,0.5440742141380881,0.6817326892717878,0.8717316310211543,0.7785518147251131,0.6801450323228116,0.6991482943429735,0.6318828752680833,0.7508720202055105,0.6003911395171198,0.5691098249112877,0.7785148048088014,0.6176117799247856,0.7985222073561332,0.7154226116370379,0.9772527037572797,1.2789640606386414,0.8700267550196829,0.8986271737670182,0.6798107873618154,1.464897487029402,0.563749971521345,0.545064039532149,0.5244058765326368,0.5524519673888897,0.547977847948646,0.5833948217826371,0.9475779549929394,0.5977991561487878,0.48367733021825426,0.48552930295050717,0.4590893916490942,0.5755426559301621,0.47953464788929195,0.5828969378464652,0.5527131183154582,0.762240523525853,0.6371492224687961,0.5601635035010872,0.5389157257781487,0.6282269765092405,0.6246769536462855,0.5089412844207848,0.5024878799112602,0.7666541186642526,0.5305428661945967,0.7422107946701594,0.4973636874609721,0.5903234710461459,0.5894209998639438,0.5819974106370436,0.9267751785935209,0.5318097721082311,0.5559408829107912,0.8017691936937226,0.4726507220296276,0.38846864494642686,0.3108318130001754,0.3681032023453767,0.328085460678072,0.3399972355867656,0.39727520798508725,0.4413637726365082,0.4912415260298316,0.5042809944676928,0.4159407951769694,0.38078577030201716,0.37574561340911977,0.3066181995011307,0.30756486080027146,0.34453009061870865,0.3511171493347083,0.36785432915857275,0.3851724147017348,0.46495855817076975,0.46802213757420413,0.5321010261732918,0.4292431071287318,0.518821863951868,0.4179118983359183,0.4465495967823437,0.6994215667064849,0.35975524925435953,0.36357633248199345,0.3777209380253568,0.693042497408454,0.5662654131345076,0.4385168435963252,0.36427418268084677,0.33045557226247335,0.35174378889681945,0.3102564319529155,0.3651155227960395,0.362828334465375,0.3927953608920226,0.5232030325461113,0.5517954584020515,0.9116639832735094,1.7313566028353795,0.9232594647488872,0.6623402433543006,0.49909287865983254,0.5679790740687967,0.43222650869663515,0.5176011877551717,0.3859758740840326,0.3800392546096257,0.3182752003650086,0.3458991521449311,0.4437808854236704,0.5001951633017067,0.4695969980574776,0.7332941413046209,0.7472140130614495,0.7516870931227602,0.4890485837753313,0.36567892819016007,0.3744953274848167,0.3941971904396422,0.3969930277309503,0.4980152226262033,0.4725749878788712,0.7271433315552258,0.4901086853995778,0.5726321673205939,0.41669890583514335,0.4270017426542246,0.4406749404938316,0.4365283827053437,0.4504084964759937,0.5517983398531872,0.5528051619181675,0.829170420964872,1.1553152750784739,0.8583561796391533,0.8690389510023478,0.803550632638939,0.671600349028339,0.6312238150060535,0.49019897262779666,0.5127407514533454,0.660600495884613,0.5592890919939811,0.5793887777849556,0.6942123578916649,0.7802519688701621,0.8998773439305664,0.7432535078504251,0.7976510491642154,0.9525128671731344,0.9694589071116215,1.0059826483348733,1.026372593470862,1.1643919221248367,1.1037397409258423,1.179078287286487,1.2941762401465517,1.362028960790746,1.3308532777793705,1.4310661758060468,1.2045588043671893,1.4685490958256529,1.1281514948446718,1.161831553976135,1.2239832890102267,1.1658746760505276,1.5910534704564347,1.3094409531570412,1.7620155346856217,1.1127687116590754,1.152776598424086,1.142648471970139,1.0959268222609233,1.0298008871042041,0.9447824471430305,0.9487176319309386,0.8884180467652393,0.9424962797692239,0.8125465029522333,0.8790412083025682,0.8435608488478822,0.7952616906904567,0.8627900053952846,0.6920810825271857,0.7453625154564357,0.8208836071784094,1.0468293907951305,1.1430404842280628,1.2622070480594145,1.3149698604086217,1.1099641261920816,1.1961517763445086,1.4530225928084586,1.288092867657656,1.1834038935169804,1.3826535540533653,1.4507511855024888,1.3080386488420628,1.3852812283113187,1.556214722352776,1.5693467432417667,1.4321372457880177,1.4662622885429286,1.352222692097099,1.2864011309697758,1.1867730140090627,1.1558974279393803,1.2064155736557443,1.1027984117728646,1.0686362347931742,1.079607827212775,1.0915480474592183,0.9420387588496968,0.9640436021133946,1.1817312021408073,0.9812776853606807,0.8833657701317258,0.9722783068061028,1.1120074158263735,0.9945251458094218,0.9860008103654997,1.1009285841516896,1.1890734627793114,1.3298883779511421,1.0243776541272964,0.9563411765702736,0.9644343242818707,1.0071148857615781,0.9816293844855499,1.0728921003520357,1.0129749416074185,0.9043224168788014,0.9152760610112927,0.5614689967866165,0.4705162941489059,0.7599782807348396,1.1510265277930896,1.1096082723458822,1.9535782752805813,1.2288582712904008,1.2626462794113742,1.9049816552218324,1.8795465402139075,1.8338394164944025,2.3778495917154427,2.854966839441753,4.03082856072024,4.620804930013599,5.651132908096885],[0.687824368797784,0.5959155649731063,0.5321607307122724,0.560893915227142,0.41302703899779025,0.4766572435998686,0.3035939985980131,0.35675276525166266,0.2862011712664922,0.3112060331910315,0.33538215417994066,0.38563481145371037,0.32724535192255616,0.3544667359028039,0.55891432807055,0.4711242476803654,0.47481310896763823,0.5517310383586034,0.6405340555891744,0.5839489923671078,0.6329823884834589,0.6163730497733595,0.7251051357583097,0.8224990525363534,0.6671298783731711,0.6569425346214423,0.5138610208986077,0.47298370058745504,0.4889285553728155,0.47213946486408676,0.5435723177187097,0.5188878715079923,0.570389774691122,0.5295980600722693,0.482079536566161,0.5044709628095347,0.48114881854374525,0.4899059026517651,0.44839499999461174,0.4483034524979245,0.46184207953789913,0.6247289765987111,0.574894400856535,0.7671514919380766,1.1576918495940614,1.5533615917304653,1.5622866289507413,0.9199879342770129,0.9846336276751653,0.9453462994631949,0.7893148592356001,0.7829575374060814,0.7470210312120169,0.5234711402583903,1.0382135976272278,0.5623490412360097,0.5705754504308661,0.7503028739324114,0.9050780620183156,0.8087287587852929,0.73147316822288,0.7180131181450655,0.6644912946863715,0.8244106670628538,0.6837332557314117,0.6189761266710735,0.8477363836008849,0.6906230166267989,0.88487501924508,0.7727663728898749,1.034653369378285,1.3495182642631822,0.9339192172233312,1.0004960956401903,0.7167650347745714,1.546616137425605,0.6121703920672971,0.5795026217747865,0.5531281728231979,0.5889545101265528,0.5589267808460655,0.5920450712045943,0.9342987919067796,0.565468039107029,0.5343930592898075,0.4885231316262138,0.5007977931671854,0.5751328328675168,0.5215266813197782,0.5782483469003517,0.5805514520388366,0.7883456062002087,0.6644757515473035,0.5612029182177962,0.5454846344041291,0.6168192321946069,0.6088658017807373,0.4930793836394213,0.4790344925945181,0.7566267621666803,0.5005453646126995,0.683233559183488,0.45716543784519736,0.5413764922597308,0.5293220952504092,0.5253510965821214,0.8552918201259663,0.45865783292600754,0.48654925284759526,0.7626875004597911,0.41892222550339614,0.3457113636966645,0.3034722495324994,0.3718969681704257,0.35446276176578445,0.394038700631436,0.451077691607795,0.48313603763841045,0.5702153758693228,0.5506751595406303,0.4879553355961634,0.4378109226004201,0.43758224945246227,0.3559001752583885,0.3409595163097646,0.35969449057885716,0.34986682725136375,0.36398541698244313,0.3543451249884827,0.4197897645862026,0.42359845671306234,0.4605700305467469,0.3760612143780769,0.4857336989554471,0.39583184917265624,0.447208907390927,0.6884804655723069,0.3830124062420988,0.38785962445774574,0.43132305878321525,0.7590030421950806,0.6370700567831135,0.5141184804747099,0.4245685617508286,0.3916252129376345,0.3950689314971815,0.3528444540385285,0.37758919582104455,0.3527005032964411,0.3804292592475554,0.48719379376610855,0.541707752325446,0.8745678696605179,1.8078243116740316,0.9825132137089396,0.648683265301133,0.46642135249629346,0.5212025423160198,0.4035211580911832,0.4798285576696388,0.4055808923970023,0.3865129098065736,0.3611192991631706,0.3837153399138359,0.4115499388789696,0.5305903309966397,0.4796056329243824,0.7912755521499343,0.7563799039601473,0.7643791422802124,0.5114638544434481,0.39992957928212897,0.38155479541019127,0.39086520502370625,0.3897666555360567,0.44137605591886275,0.4519577165110483,0.6979897483822941,0.4595190550894054,0.5377917202494189,0.41504920361642367,0.4034409745811513,0.40564370078474393,0.3933840205429574,0.43480725132925074,0.5968752207202984,0.6095072418696498,0.8670364114782451,1.2130421351813732,0.9063186598990367,0.907059311061533,0.8693814449739522,0.6898710322270241,0.6307960768887226,0.46113288026605387,0.4611674504642929,0.6078097134650122,0.49855080820685416,0.5323119689529057,0.6613002221854575,0.6956658279057117,0.8168802267662547,0.6830966515067817,0.7423828678289547,0.8736017738083934,0.9002146581106013,0.9738912353387004,0.9779099796453268,1.0857168807112714,1.0585698596332276,1.1500835522056152,1.2474508540688134,1.3105818134508034,1.3159004157280623,1.4169731849172926,1.1868526698981514,1.4418828035657565,1.1027505109627493,1.1137956636104267,1.1735779497290102,1.0994755876956768,1.5308917156547397,1.2246226425704512,1.671604761113139,1.0161671037260356,1.0434027112283153,1.03228624552076,0.9802507273633486,0.9173671717941222,0.8449927997161493,0.8440222392856201,0.8011172136261663,0.8715188090061505,0.7363000318771459,0.8434821021949513,0.7990916370358595,0.7813204110164285,0.8078429165180827,0.6367712489317375,0.6844785105367565,0.7342205451843976,0.9612029029953739,1.0686892503684846,1.1680987773025793,1.2421859502449697,1.0246004639122843,1.0814681951356377,1.3561135291988073,1.1967489909636033,1.0849906734710397,1.2789007750492056,1.35122466262922,1.211666476496418,1.2896220194661405,1.4667124855663691,1.4936661364939006,1.3556436100958238,1.3849374868566389,1.2733068124733071,1.189704582293611,1.0807072858619502,1.0488041763359541,1.1158997489581548,1.0248854463854942,0.9749551600713598,0.99755192636779,1.0231252057653473,0.8824400564894213,0.8993281038994376,1.137791697754245,0.9522686189472124,0.8481674116619902,0.9290793589773246,1.0971788837840537,0.9824396807614262,0.9756603118781176,1.124473478776696,1.2049814680833335,1.3107771235711054,1.0099986977090214,0.9324914663724236,0.938653496859159,0.9948246483523637,0.9582743965106651,1.0720635341210734,1.0289182845804872,0.8848513008886196,0.8755302940352178,0.5308384634582948,0.44334153550760563,0.7606201271247084,1.0896721069161217,1.0216250331479204,1.8295179395528307,1.1207156560018383,1.1769471194826853,1.781001950211292,1.796320204680508,1.8284861888461863,2.285785975741078,2.7400386552199527,3.942511422840711,4.566273404822801,5.723448412509865],[0.6580855519115719,0.5760301875296789,0.5170746498986861,0.5361366029629607,0.34741837083384575,0.40782412521196465,0.250179064318307,0.32285990651368657,0.25981294823921264,0.2937951843773681,0.3254389612506443,0.39950328256184964,0.3261043778728789,0.35403184142657185,0.5346275158746436,0.4696942752889761,0.490684239387976,0.5812796095696576,0.7002331764412862,0.6380472701166378,0.695606545489473,0.6820256627572837,0.7950633171090673,0.9090976050541338,0.7376642994991682,0.7304237868462187,0.5836675434531146,0.5139502232589718,0.5211576939499483,0.48225223803837497,0.545067956623843,0.4914250592277906,0.5908975114761641,0.5356839908593298,0.4690592957120118,0.5171583955157597,0.4956468155021167,0.5169640736800513,0.49407734451026997,0.4910382642086234,0.5121021285730607,0.6654734850981442,0.6282766239866195,0.8065156728816261,1.2106799997661135,1.5647458744500182,1.6214369770239176,0.9870512117403973,1.0103440639412664,1.016689794082455,0.8303432149098782,0.8654286212760383,0.7951110637527267,0.5555120644807995,1.0213138348540394,0.5843764448416585,0.6155909635507261,0.7884381681686922,0.8754451134987054,0.8650755856283155,0.7951043729863748,0.7534671640810262,0.70676500799227,0.8906086871127821,0.7600411145352712,0.6722983892172603,0.8874476793859591,0.7362346188009304,0.9473882606623301,0.8013497027226181,1.049917599230481,1.358211579704369,0.9507259988905515,1.0566196537786368,0.7542754054878581,1.6092197110294157,0.6589578129028821,0.6093523071269638,0.5891460713353399,0.6066629645517613,0.5751447519840399,0.6317246563859855,0.8894215292843697,0.5382825115796657,0.5813094629751129,0.49431442955638577,0.53539585778752,0.5979126862289578,0.5491415535904132,0.5802605261613545,0.6056276585029575,0.7997188789669948,0.6767823974582696,0.5607548121860934,0.5372550025712649,0.6007520347772619,0.5766891303609959,0.4914595296961702,0.4755327711470096,0.7419180556358155,0.47738426699323744,0.6339965458846827,0.4278003081585189,0.4873139174417964,0.4671164019737381,0.47398468816374434,0.752252122200579,0.3945766002331583,0.4113300579091314,0.7057603095465156,0.3506649455115419,0.29271727089578137,0.26701166144144284,0.3368485620475529,0.33976375600270936,0.4012925301064214,0.4867075732816026,0.529443654661655,0.6605185360789636,0.5919133960786621,0.5529404528511587,0.4775324683505741,0.46198172919501523,0.3503653889166306,0.30553633595794005,0.3337922153452866,0.3048046329532298,0.3138910284019356,0.29711905892346985,0.36379540334605504,0.35776269986629433,0.37188352618011866,0.3341111959759891,0.4328401766229391,0.3850694387212767,0.44521487239687885,0.6392132656989,0.3730724091941119,0.38696663861476727,0.4491989907759406,0.7979142738264908,0.6799049022526229,0.5502495076228067,0.46863590897827817,0.43597001678663533,0.41405479573462295,0.369494502607189,0.3712660045977949,0.33679430059096244,0.3524864232323556,0.4626970093576794,0.5382952430796457,0.8205177409386022,1.7828626440441162,1.022106979022889,0.6287609107466938,0.43470937513778746,0.47580688001126437,0.3778931719610025,0.42580703312692664,0.4043563049271128,0.39531746130260564,0.3998928113932268,0.4203523064171071,0.40455067540471085,0.5656656816676289,0.5172065918664781,0.8660919219626763,0.7867871058898084,0.7833661047721846,0.5218313050497131,0.41296472034576864,0.3801382386600342,0.38651487020158504,0.3769959454820789,0.40238407509034113,0.4450735013014662,0.6551954563877591,0.45399536160894227,0.4955495231571807,0.40976461412731435,0.3597758383871616,0.3716119977029209,0.3741001508848434,0.42735740860955773,0.6331983031649215,0.6660979870231446,0.8797284597188019,1.2592441157339482,0.9558287798078442,0.953220595430261,0.958160194882935,0.7340296373985018,0.666346886818091,0.4535121375834685,0.40211587323420434,0.5292806082672447,0.4396357142342835,0.4543347993203884,0.6089955841006494,0.5751558010597275,0.6988181421094071,0.5895985499675853,0.6407441249412691,0.7551326548297405,0.8017671295109294,0.9020803333732333,0.8893890069173414,0.9794056306595574,0.9869159709843246,1.0822567505583125,1.1673174066448317,1.2431629647798068,1.264912511765592,1.3697636026358508,1.147543919474622,1.3803124590583125,1.0472598394574502,1.0392850330001524,1.0883352322530746,0.9963679446912993,1.4142895630221768,1.1110756490244977,1.550918049183868,0.8836440576613286,0.8890119105316063,0.8875288177346832,0.8219161900875999,0.7557441473027603,0.6986322487683757,0.7135725059270974,0.6979530045234168,0.7647108067542348,0.6236589210275495,0.7829685167669833,0.7429154148072866,0.7354809633369993,0.7352697475254532,0.533256195818971,0.601673543903829,0.6261316711507643,0.856981764728055,0.9701187262051593,1.0354340999101326,1.1374590879688193,0.9058141579969567,0.9366728201404658,1.2180078946519384,1.0772195328929548,0.9503117474589412,1.1357168987904518,1.2162206963357836,1.0899416495480103,1.1538539938026116,1.3314138927748993,1.391355058661561,1.2515655302862423,1.266301933919091,1.15807224425732,1.0512932234861907,0.9355286519946185,0.9032025940970537,0.9787285217557985,0.9068957135546413,0.8350262358310975,0.8737225006026409,0.9104669777493363,0.7662702429257952,0.7862710064103601,1.0506556574216082,0.8741907761908648,0.774667999591878,0.8412424846966536,1.0601742386571482,0.9279348765609903,0.9167608891495302,1.127122254971763,1.2055505933724922,1.2669199715975716,0.968661035575013,0.8778873829002802,0.8790948906386833,0.9337067979165764,0.8882526129479085,1.0324572295428167,0.9986587901256692,0.8300166469007895,0.7784596641679034,0.46996248360489395,0.3793846843283057,0.7404026252666545,1.019451842051216,0.9288436087076072,1.6753007425753357,1.0417548025260805,1.0982421233075812,1.6828493675730647,1.8058828026738079,1.9071990900236782,2.269252358825195,2.652287754157338,3.8984212782529886,4.477636740125021,5.729622712123658],[0.6682550968785702,0.5702266194092169,0.5103719131569813,0.6147035586003453,0.3791148794428387,0.4388060585111648,0.31634008370779776,0.36304112593065824,0.30773562692246537,0.30878141319621666,0.33311026167735475,0.4184623835585398,0.3502118706177716,0.36871912528835143,0.5642626609419858,0.5150704299335619,0.5192660692937913,0.6263157469390441,0.7483369201337554,0.6711793459210251,0.7499014909615315,0.7193421395099211,0.8456911919279352,1.0137991468915373,0.7618712644921009,0.7676169338936439,0.6150260560012648,0.5426866816191429,0.5429920879464198,0.512205246160431,0.605884179005504,0.5651696693265889,0.7227691530888131,0.6260458918531911,0.554346929144581,0.5685835545587193,0.535968260716721,0.5677428918243331,0.5274439660078025,0.5237280952929348,0.542826871693526,0.7003468439117041,0.6458514788714649,0.7986143533360609,1.1345730606501576,1.4693584652142797,1.5041289093384593,0.9360913543515285,0.9936656228590347,0.9535686717392869,0.8444718426141911,0.8748389604148596,0.872778037435772,0.5919869847143642,1.0653598601905745,0.6306869622568584,0.6400765342535372,0.7934691113787389,0.9583439588443089,0.8736423239823977,0.8129715831629235,0.8176367160485136,0.7896761325125742,1.004659323454873,0.8040959429833138,0.7140533451549419,0.9517713383357049,0.8015467323152177,1.0006606744807187,0.8487373740295047,1.1196151709677138,1.4904632707918124,1.0290911733784627,1.0954693059492016,0.8169752894403612,1.6570095396685256,0.7244361533159267,0.7000934497807172,0.6721908013688619,0.6745748336602796,0.64068070933983,0.6841600294635719,0.9388254586996508,0.5739998910025335,0.6026263392589427,0.532500376869508,0.5855346279348267,0.6449733427054791,0.6059162267833033,0.6763946127818289,0.6893377005523177,0.8665568033638942,0.760372354834604,0.6548176855971052,0.612217571548318,0.6670489651685734,0.6555629361823592,0.5609460450294592,0.5268609174775651,0.8171548125831581,0.5381751017960408,0.6274781330080457,0.47363449960303206,0.5386222065625695,0.4925564977614521,0.4870515103863347,0.7140391152245554,0.4084423317274643,0.4392839861174353,0.6654828285442987,0.4066736215453524,0.35182818712672836,0.3335856814868166,0.37282874020218876,0.39394536895165205,0.43003812096611976,0.5003100237515251,0.5185475367245794,0.7013664962565748,0.619092571158288,0.5671578177449469,0.4997914300263203,0.4604182727089292,0.3710501376558414,0.31700841943833374,0.3263654695638798,0.40581648411132143,0.39194041653380834,0.3643055466688002,0.4210885689990071,0.44014006179152604,0.46215907302305703,0.39416006609094,0.46670123318339185,0.45316551573384417,0.47704254698770454,0.6417291968427569,0.3963837832075891,0.39831226410259446,0.4473756581484356,0.7749959000260105,0.6500324833174712,0.5845852701512546,0.5040483267538486,0.4708919885209263,0.44923021688887477,0.40481582795766013,0.4024884316094698,0.37387328307520945,0.3685814331358257,0.4618214836603885,0.5624809912155501,0.8921666080593801,1.9992625837147022,1.0905735840985316,0.7067673613886652,0.4756357975329855,0.5125022268239536,0.42348473136946335,0.47486328020664537,0.4129979886195669,0.4308183151091475,0.42979724326201435,0.4482229117133354,0.4636150804774401,0.5611646582619937,0.49804240517310555,0.7948549298803591,0.7273105877276473,0.7317375990171595,0.508598394395781,0.4285781151022098,0.3997022396808806,0.41471780200426855,0.41321326419621446,0.4525601531065087,0.4752397018668756,0.7295644389735546,0.495078888748101,0.5804995781229845,0.41760227885425577,0.39584421760143396,0.39069756568457353,0.3810772427361148,0.4293306497813341,0.5888953493221131,0.6218825608408634,0.854564567048496,1.2279221296194638,0.8984386335485818,0.8845462476386745,1.002355283689695,0.7323434869509238,0.6595946887923997,0.48337197151849,0.44381273074007055,0.5965715265292231,0.494065251558246,0.4908514622785055,0.6565591434559515,0.602304788633978,0.7259589683899883,0.6061314343281495,0.6405862680987386,0.7687470241673292,0.805727378237375,0.9053926525001401,0.8795031397820554,0.9812210801430371,0.9788920586884959,1.080329244078566,1.1664443967370994,1.23704270740405,1.2814308884466108,1.3673890378740405,1.115012246810212,1.386114021948391,1.024107404223844,1.023413291707037,1.0792230491093373,0.9856966424469628,1.4746532587104726,1.10206345909483,1.5751828778732202,0.9288676674799382,0.9549342211425799,0.960896731048869,0.9017424412661476,0.7632818620179228,0.7120695514489019,0.7754671133268043,0.7024446362443107,0.7279894705203142,0.6149074117153454,0.8350832263262551,0.6710199885080813,0.7017576506604161,0.7034915133596069,0.5356157144690439,0.660380720115007,0.717694434691904,0.9343555019834667,1.0572716786694458,1.1331340743017302,1.2381482905265562,0.9667810414862791,1.0041778348106625,1.3391206879675535,1.131460739044437,0.9951504035129205,1.189673959287978,1.264196801981943,1.1108115450434846,1.1929211934804598,1.3839575326853601,1.4108501249283032,1.2688857759646734,1.2951804841352295,1.1714426119239159,1.0822838182968617,0.975380669602411,0.9401514208663814,0.9989597271362821,0.9103479286753244,0.8466664162735259,0.8726884086811139,0.909647403276483,0.7557963717319436,0.7637568764245134,1.0052340626955727,0.850988689969821,0.7241683737492285,0.7964295208474855,0.9935836029768328,0.8867165723916703,0.8824260638980451,1.0769256415747661,1.172219771047145,1.2235778023206163,0.9577878342403243,0.8551873414828749,0.8456409418086849,0.9486280984704235,0.8970365290074652,1.0230517084955095,0.9997961388853843,0.8430365456488544,0.8450375538053828,0.4995055425208533,0.4247991761841661,0.7506310426324828,0.9961234227537553,0.9376253627526915,1.776986005550612,0.9704137442196257,1.065420942758294,1.6173820099184204,1.6182686861831828,1.7315070257049168,2.0543874073906045,2.534771675051873,3.741282005464558,4.5187777468567,5.862735114066263],[0.6764258668044595,0.6022908361014235,0.5381467965391888,0.5460673143072162,0.3695475451071185,0.43793817028136256,0.2944375126939994,0.3379422726775293,0.2929636111354429,0.32377487995802634,0.3358959635306366,0.43637334784356374,0.3492831414018903,0.3915939713814434,0.537852255314762,0.5064685845454467,0.5325225663383152,0.6371804517520162,0.7792207274327554,0.7069612964612132,0.7837303191133415,0.769434681597415,0.8996697270069638,1.056232684872377,0.8417155151072244,0.8479134049400386,0.6757495430259529,0.5799848135959794,0.5690538341725297,0.5211359088802184,0.5827535374633284,0.537400943375025,0.6802663657517666,0.5947778435535289,0.5365114693914086,0.5723956081049838,0.5207149701872096,0.597248883495234,0.5999681923342729,0.5864773974045542,0.6054481277336861,0.7584527643151855,0.7284473421535745,0.9003587755680643,1.2911989809391193,1.5930082822102112,1.6865445777315944,1.1004066580610057,1.0800758717398875,1.0861271600200137,0.9336636989929863,0.9849090824841444,0.9401611092508859,0.6453629479331591,1.0525238054548554,0.692822072757409,0.7263357205646568,0.8809299156575945,0.9314101400173597,0.9233080653958171,0.865175011146729,0.8389561896488409,0.8072957543430822,1.026653046404466,0.858661993483894,0.7384409701692718,0.9482863681429144,0.8011692191256085,1.0132265970357968,0.8401867123885233,1.0667442093554185,1.4113668091734555,0.992120882880481,1.1251071022603745,0.8124718073720573,1.6929878657819601,0.744535231950048,0.6868210903079864,0.6673215320305135,0.6896673542385824,0.630094638947741,0.703486531113334,0.9402510091875717,0.5712362752202483,0.6427908551266234,0.5437879386867042,0.6078864162823542,0.6434199550615907,0.6200861455519647,0.649061592793006,0.6830648317112366,0.8534414994405839,0.7300083888345124,0.6170454184949548,0.5743094540141879,0.6351644606774288,0.5873783524994419,0.5335767536831156,0.5188185078843505,0.7803152371000559,0.5228895530656783,0.6277326710658706,0.47070527225258607,0.5038102523152521,0.4792589559823406,0.48474703434159117,0.6970931542486534,0.37176815297908467,0.38225323663038074,0.6925797149705467,0.3693595531305705,0.3463262824904054,0.3284413272845426,0.3797542483523064,0.4043885170335364,0.4636700383232807,0.54982235187053,0.5838657847221933,0.7627673839239856,0.6400044565637933,0.6208318012062015,0.5421432507550404,0.49468504199263336,0.38051887019401454,0.3302447947551452,0.34218263993184017,0.34318314138504324,0.36098546900359013,0.3467184122020457,0.4391588350990482,0.435306648638185,0.43575362271707185,0.40562835686384835,0.4781319455539252,0.4406134524099238,0.47372932140976287,0.6228771615476938,0.40765145839755523,0.41979250551026204,0.4960680192464306,0.8619745277564596,0.7771121658770939,0.6668878246897895,0.5387078363094743,0.520064106626484,0.48732655502699534,0.445393720047026,0.4449386915857938,0.39706532592656385,0.3894759710278506,0.46597654581300546,0.5660124397141446,0.8138234840736994,1.8577589163244523,1.0822443377770052,0.6744241659806716,0.4726574198687214,0.47816363334639006,0.41469800265488416,0.452309327945462,0.46907333476190605,0.4757137870382232,0.46655167506905426,0.5138162034019,0.4730368858839541,0.6070304554985795,0.5483724956484479,0.9186821220954996,0.7652270572973786,0.7568435104604795,0.5292493992099929,0.4583678378787785,0.44301199881395353,0.4639981924002079,0.4383843962662841,0.4374922688794191,0.4849723089044959,0.692149435356421,0.5108974283153813,0.5524427808400605,0.47621990849482126,0.41811843371229346,0.43611531080375776,0.430293813792335,0.48093757510355317,0.6934330798303164,0.7360581353827869,0.931272758404534,1.2950634814466724,0.9868717019612139,0.9911227305259439,1.0504505838106093,0.7636849562771552,0.7032063362118879,0.5139503510712661,0.45452213629503696,0.5571861943965417,0.5205374637639438,0.5260192178985875,0.6835793476419963,0.587430893653501,0.6978065308218461,0.6041261092550455,0.6317905550949882,0.7324073081420935,0.7858691028959338,0.8981793848150231,0.8648587540021392,0.9439992272140342,0.964355246925346,1.0556618871733088,1.1364830845519787,1.2183319351602693,1.249778913075952,1.3506840884931424,1.1311506199983088,1.3614682465168075,1.0209966352642268,1.0039780426589586,1.0489988545970685,0.9598540387947099,1.3962228819590639,1.0782745984083955,1.473759627418827,0.842426534393316,0.8563984296630428,0.866103442519665,0.7978084914764935,0.7153505904052179,0.6615351691152547,0.7209226592260279,0.7009953530667888,0.7385926052017376,0.629045276909251,0.8512630871878928,0.74770915055651,0.7477424443017768,0.7345708655560456,0.5602386466079594,0.6569683829273446,0.6840715284724952,0.8884209810572727,1.011364677601382,1.044005978938933,1.1691336030046646,0.9211271742331715,0.9228265195355133,1.2163363451385283,1.0665763479508477,0.9298276534481735,1.1055053774395651,1.1878876675552095,1.0578433560445604,1.1151004520214043,1.295514575605491,1.3625211021735355,1.2188749149082947,1.2286238864103753,1.1134828520586384,1.004429923525218,0.901099539626858,0.865823220069758,0.9297363976379988,0.8759889346920668,0.7970261521948824,0.8254315170858655,0.8660033837722813,0.7319901605215603,0.7533954896410495,1.0069225256231062,0.8402745412095479,0.7663743190321041,0.8119707398804207,1.029184030641526,0.9039035494076652,0.8860953979506891,1.1318712038014573,1.2073359525555076,1.2410943110689423,0.9481096479581892,0.8618663849881061,0.8551150126646251,0.9171771093714522,0.859314181432004,1.005336489155384,0.982507698434214,0.8415384215461759,0.772434837161292,0.521750600422381,0.42736365500245677,0.808447506459687,0.983163784537035,0.8942488137099552,1.6067979173846534,0.98334789326756,1.0700621089560038,1.6149248390551285,1.7364244662148889,1.9053453928540494,2.202432581387407,2.5782125513902843,3.8229694905324774,4.450027295288768,5.788449859383441],[0.688329502427197,0.6152952899762556,0.5576516120557052,0.590303399749024,0.39313901421711556,0.450656139818127,0.3362427251440503,0.3722707770883122,0.3376648349750344,0.3675786832726566,0.396933788320423,0.5106338575573767,0.4391795770849007,0.44366691746594755,0.6082983074475425,0.6023295739126729,0.6024536300966735,0.7323908658379861,0.8898049134978645,0.811276948945223,0.8978535910603003,0.8785328866091565,1.024633244627444,1.2023808091101207,0.9214352263022356,0.9223244415730169,0.7607124359910605,0.6473669165276595,0.6536903076007077,0.6149445489116501,0.7136817454567753,0.6699962791481651,0.8891304519295341,0.7897426307368591,0.6901300029571895,0.6937822008826863,0.6327111979443081,0.683169334868791,0.6858165732178579,0.6754163816421165,0.702775788271243,0.8440598862276998,0.8170613222176447,0.9598583093113284,1.300334765496139,1.5597581709450874,1.672319271164054,1.1289254691231805,1.1098571198781995,1.1251010773174808,0.9997903633451128,1.063217667369068,1.0361425905370243,0.7395074711929239,1.150766546995729,0.8031039730210231,0.8249317069240452,0.9529818397675456,0.9959525681459569,1.0486079707153932,0.9839924115358594,0.9623422367933191,0.9658704378068425,1.1637202442060992,0.9752907494503675,0.8705782947534692,1.0881791962694827,0.9566067057645454,1.134464879657052,0.9471608625835822,1.1809908081746505,1.5272425455211254,1.1270362770969775,1.2717199147898124,0.9686586396809419,1.8060814656654005,0.9043083394481624,0.899536431708896,0.8555255675241187,0.8383265004442513,0.7818309123408094,0.8214838582469627,0.9616134459971742,0.6714332475172103,0.7147319460252889,0.6382742919268195,0.7214420421670207,0.7935830753245494,0.7773939552363004,0.8217411710791948,0.8661442886300021,1.0359848213308847,0.9248311484126864,0.8123227622221829,0.7365731284406545,0.8001913943672292,0.7392483363011983,0.7136700022688665,0.6752474947792446,0.92346673446913,0.6588438545949187,0.6921726267441999,0.5627068265731795,0.5676979461072612,0.5246363790352376,0.4833295217511786,0.6720069068033173,0.4092911140300481,0.4250552458877092,0.6633844006198297,0.4004327281841028,0.36924089897451673,0.3787152660731108,0.41553625438714015,0.444250409572776,0.5106764808436883,0.6082065370808389,0.6494171456144241,0.8543284150847789,0.726531598018033,0.6928682075308836,0.5998281648016573,0.5539599646157491,0.4366596323523277,0.3696455383988579,0.38889070746425974,0.40091768197997935,0.41521717029025923,0.41519985143963023,0.44073620669521574,0.4665002283148831,0.4374740781908894,0.4422326376360053,0.4930027514941001,0.4831015902608757,0.5027212315114322,0.6493536053092536,0.46461972484477787,0.48012309541818976,0.5610961939079785,0.9108813755249819,0.8274702149874194,0.7173283284886433,0.6250244875847855,0.6055469285795615,0.5616710510257106,0.5124069656297991,0.4741569971986285,0.42976523226057645,0.39805525007573583,0.48992757799394343,0.6168403686575453,0.8731720428534563,1.9441152103568073,1.1628914797022964,0.7637123484453364,0.544096290707971,0.5428187308571328,0.48682196037597836,0.49083313553546365,0.5209526180275543,0.5243365318889718,0.5376070638203483,0.5785248436718344,0.5499775312777243,0.7011325288280928,0.6249541936222702,0.9862232523327992,0.798392802534851,0.7879004984871402,0.5799312347329906,0.5217229939401724,0.49941781333313734,0.500948327826704,0.5118374189210796,0.5257258639237746,0.5759997089343041,0.7794874035843473,0.5967192286865661,0.6256189963213008,0.5164263756560169,0.4411282295423006,0.4605033903322943,0.4810901808579839,0.5282238747506705,0.7354941878970916,0.7749493084324981,0.9852170422240225,1.3077159279105113,1.0383965842418426,1.0541305997885055,1.1058552051157151,0.8128223690194197,0.7399112189567215,0.556518086170458,0.4861944173385751,0.5723855700046101,0.5397990288900666,0.5221753197441837,0.6737127472361533,0.5595104268360598,0.680450598871669,0.5812950418894698,0.60365841221615,0.7074209809320389,0.7630779970277491,0.87893497228029,0.8436422467808299,0.9314514567012296,0.9501898988682534,1.0510575448929984,1.1348064251107255,1.2172959080916474,1.2549905853128167,1.3563856330437545,1.1260641323874974,1.362580194214398,1.030538110238068,1.0042223067504141,1.0504628768391744,0.9502861972451541,1.410567742444028,1.0648688517672331,1.4654451464190206,0.836864862467648,0.840014330323298,0.8632591674791905,0.7973350887182145,0.694101015552144,0.6329127511540465,0.7129075764297115,0.6953283355946277,0.7249711392674343,0.6182773779606048,0.8778201960868469,0.7244499513875972,0.7563498811581482,0.7163742109137071,0.5436497908308598,0.6693805709927014,0.6795686175092561,0.8918171627354601,1.0114230049561992,1.0655823547276468,1.1822870363876965,0.9127854116792593,0.9251848760297017,1.2585958189177673,1.072123681812294,0.9290463581614932,1.1263263965775812,1.215236372553607,1.0606930459131751,1.1298374242398157,1.33440999826401,1.3865546919373832,1.2275498601241095,1.2424431957008182,1.1136919316431797,1.0055919433135558,0.8929485729326543,0.8488551401906199,0.921060471360524,0.8551800272206493,0.765135068246241,0.8064175469449414,0.8573581032713392,0.7128479966254333,0.7279234563915844,1.0006496240243514,0.8459406862004493,0.7553725595897225,0.8216738117955629,1.061663544608,0.9531318254324028,0.9179962477766459,1.1750458782879796,1.2527315160319423,1.266874726247681,0.9889791358406267,0.8627798597121917,0.8495341799526536,0.9664615463074114,0.8967919807807729,1.053706995002972,1.0172082835343677,0.860000248463681,0.7972095356968082,0.5231856563067006,0.450120458432408,0.8028385757646996,0.9404251870498535,0.8801202895677326,1.6411149155429032,0.9507057906319337,1.0597000258509768,1.61217204346669,1.6931342086995071,1.8700166183192075,2.148494425295963,2.5859394023302964,3.8181179997728667,4.538956231806156,5.891711372237217],[0.6695209855577111,0.591410944225631,0.5493714236364472,0.5514717320286383,0.40537682731699787,0.4782178978901775,0.344102525545114,0.39218021348066573,0.3447738538166123,0.36097715380048806,0.3792274044699241,0.4833016918348857,0.39957413159398325,0.4200924805109338,0.5876677127684526,0.5739269206633423,0.5819828506234196,0.7041065088585126,0.8682328798426739,0.7804828840316129,0.8847261833978053,0.8619639292775476,1.002847637734538,1.166005281548467,0.9012577640715494,0.9074211010554016,0.7272494430921695,0.621454518478989,0.6292335152599742,0.5869936071365841,0.6710241895046317,0.6052579659704377,0.8329037225611499,0.7184891806436803,0.6435861206857401,0.6602725406585443,0.5974191336485725,0.6545467220953974,0.6467322348404946,0.638526857960536,0.6577755432711015,0.8181649264926499,0.7847358641966349,0.9304746960475123,1.2695512268467142,1.5354511657450405,1.6345799778832402,1.097591129000962,1.078001643356241,1.0774073929983394,0.9543780883736376,1.002460938193201,0.9937688193288835,0.6925608439942731,1.1234873365301203,0.7564280492045461,0.7975006915588964,0.907198729440869,0.9978051081904746,1.0224630791718075,0.9634581399932517,0.9445870867140214,0.9466802684979967,1.1773770191481228,0.9590127036520435,0.8488697610444165,1.063739902539518,0.920738451100838,1.1104419842829905,0.9251981139317882,1.165848482350382,1.5474999252601025,1.1087187360755306,1.254091122051891,0.9292879421735435,1.7848322219925041,0.8614045128027992,0.8399969413485954,0.7978775775650151,0.803018197415195,0.7336192676391182,0.771231575202418,0.9351428148085583,0.6633224558714766,0.6897992997579275,0.6102076877797545,0.6760128004834021,0.7381398332890962,0.7229060940374111,0.7516023596590362,0.8012181078395024,0.9783980011280468,0.862649650805714,0.747401843750562,0.6736424525549748,0.7246223962079861,0.6918845781957965,0.6204787706196805,0.5912911418826355,0.8669171291216613,0.5860946562635875,0.666172610099048,0.5182242439410946,0.5544146742777906,0.5170174134259458,0.49683238087344445,0.733718398339394,0.4218382494265229,0.4613061512545667,0.7307932157699341,0.4138768710487863,0.3711786547202786,0.3653411158790758,0.39679381871411573,0.4236608672536032,0.4842739114742094,0.5764310348810522,0.6190682506347733,0.8040271904012233,0.6806033026439294,0.6513419743150766,0.5690156582301553,0.5412983830495537,0.41062248857785777,0.3617218604565687,0.3801010530378484,0.4071867739317193,0.3920664107551089,0.40048373216621286,0.4434606809066947,0.43441868961969765,0.43937405587870515,0.42250037939599466,0.5040593751766217,0.4624790912157872,0.48270946921860464,0.6529658961878376,0.4384123336687355,0.45040988402761895,0.5269302439839305,0.8951288080658562,0.7881186051818976,0.689041959694939,0.5835279969049528,0.5546137264008861,0.5153264044473069,0.478346835909672,0.4519466932100167,0.4195138166626799,0.40800935804429794,0.48340364622191123,0.5836369153472034,0.8872074427399622,1.9799385575247856,1.0984077341973386,0.7291467934239095,0.5049634683708826,0.5301262178162466,0.4578871242462887,0.4979625795287765,0.4903362058591456,0.4891835479590688,0.4984489689214769,0.5394658910152319,0.4960094393611474,0.6661724578404622,0.591837577282275,0.963951837639983,0.8058284967022461,0.8000357874075603,0.5599111702948805,0.489638154382195,0.4715523880766889,0.47296430291739805,0.4724910374563509,0.4913067381381494,0.5308517929781951,0.7292449160692916,0.5628468069764578,0.5872448846701824,0.48346967140507224,0.43194990146069506,0.4428782850856663,0.4460378130702981,0.4947515421675692,0.7097897855193408,0.7545670826476435,0.9593559722000513,1.2848414864102875,1.0168791951695462,1.020410407086344,1.0587717950791655,0.7789074216784803,0.7049499476944708,0.5264499923932351,0.4575902154672753,0.5833457358182145,0.4870470724145659,0.4941652682750568,0.6394537546983762,0.5942513758730259,0.7220390052549664,0.6029326270906877,0.6528612196119333,0.7766964288558709,0.8154366935012104,0.9232190459587373,0.9101757710260574,1.0169157326243907,1.0083497476625018,1.1148258866115235,1.2250115301980868,1.2883738976761523,1.3001125400063498,1.4314284934267083,1.189751936930833,1.4607638952303954,1.1119544422335654,1.0898013417115713,1.1503748968030072,1.0540806209478906,1.489922840269667,1.1784557459923437,1.6395979947821129,0.9369605666811995,0.9518042008988413,0.9471121784302744,0.8680913313836492,0.7704266558129131,0.7078777655287724,0.7470264464787433,0.694809634566626,0.7378991179235013,0.6182112708770513,0.846258101714139,0.7084800345156634,0.7150082550410105,0.7415891668531006,0.548469593032752,0.6474252359161656,0.6820882000950304,0.9181849427344402,1.043646764037076,1.1345753639176477,1.2319873497195133,0.9578988748356205,1.0086592850016305,1.3484636060749318,1.1390931322453823,0.9992053893114903,1.2106371865570704,1.288005006365952,1.1388023120325061,1.2376794766756294,1.442347110755779,1.4735755588693518,1.3359218808115976,1.3716081703457554,1.2337324652873012,1.1326055783400208,0.9909097432646533,0.955491927064318,1.0448493604307756,0.9460056513500188,0.8630852354661134,0.9114797554995415,0.9516647897270236,0.7793200141972708,0.803123723744274,1.0721281321400133,0.8876839310654772,0.7798906794538826,0.855946852796769,1.071310720020745,0.9518933736584689,0.9329753988604871,1.1434955123881039,1.2104133005250157,1.333327959680079,0.998130793336223,0.9049707527399071,0.9060623577414808,0.9522654583951028,0.9020082117401637,1.0453953186024394,1.0090279899683898,0.8552110146910814,0.7941327734158437,0.5025496021298435,0.43731695306824075,0.7500470875777318,0.9996366602187575,0.935497191185747,1.7345349099424336,0.992800654406169,1.0943872857336938,1.656054901705317,1.634533559021899,1.7647965751670027,2.1377382938936504,2.5943473466152547,3.769750933197882,4.55043860704048,5.821611169794107],[0.635248174854449,0.5771923129743102,0.5323198048694731,0.4899880197682339,0.3725224964601756,0.4564269596334475,0.2776658333487633,0.34815262496163074,0.2694146118683376,0.29845238920528305,0.31838635332642623,0.4064944880357917,0.333047473070681,0.36630879269907274,0.5238994102400796,0.4839065930711763,0.5272045146913616,0.6453504546191647,0.8078550986086944,0.7154110468689946,0.8112763267374611,0.7881480521587019,0.9234644681910636,1.0799055479020483,0.845092221025651,0.8514375934132428,0.6676296063645124,0.5698324538318267,0.5609910119369274,0.5068607019188666,0.5880867611143351,0.5198634027596808,0.7009571709641953,0.6097509027891529,0.5334710865131512,0.5759272274195362,0.5129804719363635,0.582942617936426,0.573526251338084,0.5544733476490818,0.5914802203702516,0.7589656740582803,0.7238906836655167,0.8859417814301611,1.2727032419210382,1.574335328906607,1.6689718173481183,1.070104337597,1.0513254547619275,1.0504075976372131,0.9058092030725347,0.9498097984741197,0.9034311930637957,0.6285101020959789,1.0703185706995442,0.6723662127696948,0.7121027186028576,0.8433459474098259,0.9127304375970356,0.9303979448526146,0.8801992085564255,0.8535083960639603,0.8389313005514744,1.064663337573494,0.8851427652649644,0.7691673986310108,0.9966841902135644,0.8374140859107967,1.0427629487702235,0.8632502315101183,1.1127667677189892,1.4672782415147643,1.038842971576306,1.1765571607192855,0.8503136044749664,1.732652078831516,0.7694732094745004,0.7209733105281612,0.6923923004924795,0.6999204591365907,0.6388682808471934,0.6875923658195323,0.9058724277119906,0.5693044891769338,0.6252769657965731,0.5349586527800761,0.6020901714030771,0.6411242558930331,0.6281025627841657,0.6615590006385725,0.7043075397506214,0.8796619744908827,0.7599199036491717,0.6387913573389309,0.5828895186306172,0.6376376030482389,0.603952436261582,0.5307585121874082,0.5039637343928371,0.8051057366032303,0.5080918205841916,0.6344928591400376,0.44030206385060966,0.5161367893602679,0.477049312801725,0.476676425028385,0.7489236307180607,0.3914930390393199,0.4268213875710239,0.729715936832786,0.3800670728366235,0.31421135702981207,0.29866513628182295,0.35912012032219426,0.3818716369731092,0.44410905841959825,0.5349500347488251,0.5905300556745007,0.7551884487059206,0.6364863363479063,0.6134904529499916,0.5306092071288704,0.5070066172718478,0.36146256068499283,0.324011623306336,0.3465629831882047,0.32564540041316825,0.3278125915350078,0.32920618439841615,0.39094606322217373,0.39176472593471967,0.40398414663811083,0.35990221504498837,0.4475881192269573,0.3845597704860276,0.4215764657647812,0.6519826890906617,0.39136783746400866,0.4076560614959108,0.48775626342849665,0.8617717299291333,0.7750736377919843,0.6548952676116521,0.5373732792813002,0.5001030364011448,0.46450332114154064,0.41467369115745417,0.39529868037612403,0.34673295630369183,0.355489061246016,0.46945793020590637,0.565124791877277,0.8773101454020222,1.95317186036578,1.0732341424578586,0.6809825753896646,0.45676119415052074,0.494916052836252,0.39180986113143057,0.4397964781215227,0.4306282825113884,0.4245137929484983,0.45214684706318536,0.48296346516918787,0.43474839872689647,0.6220672938579688,0.5399366251781375,0.9237293729674998,0.7846970978266028,0.7788148598816116,0.5280231064710345,0.4337860429697572,0.4070470455482185,0.4042020439478627,0.4015240078820561,0.4376802036125391,0.47006251817709316,0.6940324400122067,0.4946327983815289,0.5326081992818594,0.4231070737000756,0.3741205718996454,0.38328413438675835,0.3791845518775089,0.4381704220757474,0.668879142141437,0.7050633626732133,0.9225505141431325,1.271392398232478,0.984295034379331,1.0014307927577557,0.9800634586811375,0.7229102181573898,0.6606563594267998,0.47614707547900414,0.4231260813557741,0.5523452801221159,0.4772742191874585,0.48861718497607165,0.6401402948195528,0.6284938774309293,0.7528872984311475,0.6324928120215642,0.6892744424427256,0.8192025775666746,0.8589457885671485,0.9520669923490994,0.956317141983327,1.0617790993031384,1.050788342416569,1.1532486944462448,1.269231446864537,1.3330232386700833,1.3329939587756257,1.4682257323510601,1.231267563257247,1.4822919447833005,1.1446254334671428,1.1304020826087706,1.1991703413240313,1.1092608557215151,1.5120903302371975,1.238996928739296,1.6509069794445366,0.9718352432350682,0.9778652927580861,0.9642645955071806,0.8848268138579416,0.8203311469099258,0.7573738006632906,0.7680433365813188,0.7318226408207258,0.7948443356976681,0.6604614252678993,0.8159437750970332,0.7752748402627284,0.7461263436371857,0.7504348056371456,0.5682208417602971,0.633208022865897,0.6715325420617887,0.9182957898962638,1.0272303410227779,1.131966878573006,1.2214141495058124,0.9649262288963785,1.0313668738248325,1.336347050010311,1.1618735052652376,1.0281594491067771,1.2370154736075925,1.315291911445105,1.1788708590995276,1.2716926893459002,1.4656829144468764,1.4989584001044418,1.3739833288345313,1.4096963955152408,1.2766321776464942,1.1684830027410111,1.0300511971105304,0.995244184250059,1.0926619046344266,0.9918589241294081,0.9115882938529815,0.9620334031845692,0.9981676237134747,0.8261279168689573,0.8513477434176414,1.1284980048997681,0.9261261783038011,0.8156848940054195,0.9000403025058166,1.1045912081772347,0.975796475534552,0.9453175008525897,1.149341873655609,1.1999092753717782,1.35513801311493,1.006708438022069,0.936503928824559,0.9508522625303256,0.9492969497895448,0.8944195263970338,1.0293304321302406,0.9768093465716778,0.8465312240532423,0.7693202449421919,0.4985262237361108,0.4260937542679394,0.7741159349556586,1.0481764816627006,0.9742342461721051,1.7663234894617466,1.0640391594466623,1.144919345525392,1.7317473471630764,1.7455989033435448,1.8413542601213286,2.2672215336057415,2.6869559183309977,3.8855490856807773,4.586659401007423,5.813360586533224],[0.6402367730968195,0.5728069731715535,0.5211269375732157,0.5155442395826995,0.3852074386572844,0.4699346441809651,0.2944435124861292,0.36242643972844885,0.28296892742398916,0.29351128659796194,0.31885693389174413,0.40221747257482804,0.32388448863375213,0.33734498456448936,0.5411740589150502,0.4812312898290509,0.4882009651893577,0.584755035875143,0.7142498913465909,0.6370453449127875,0.7133009561860204,0.6879903378909416,0.8179348159058449,0.9597550733747374,0.7344328478036989,0.7390120746160729,0.5703876684705871,0.49970009654321396,0.5113442125536467,0.4782355929948715,0.5679798994460669,0.5386204955343953,0.663538409327345,0.5750327646617984,0.5091289125676507,0.5305331226956259,0.5040670520162978,0.5201432981676888,0.48458590564147874,0.4740564141626817,0.4976500676014154,0.6671294747599381,0.6223224145556885,0.795794956529531,1.18241387335047,1.5352587207385666,1.588904707453329,0.9590393108118529,0.9930325910751945,0.9802244536686425,0.8184298198146015,0.8461056808262217,0.8059184506672756,0.5481285831405441,1.0485084553339445,0.5915108519725901,0.6150870428126716,0.7730191861698936,0.9016745249472662,0.8668499948561057,0.8003319180176989,0.7798360123525343,0.7465732486236063,0.9576396236731772,0.7728952176412959,0.6825436028069896,0.9267305303870507,0.7639725181059125,0.9866621468705457,0.8206198095291505,1.08949249730743,1.4367309385172289,0.9962700895376794,1.0963190461387056,0.7804369566442202,1.656245359375204,0.6835575287955566,0.6558995082025602,0.6187871904321337,0.6282304076761641,0.593665166847169,0.6312085375727337,0.9240555325647117,0.5525651764434596,0.5658142964819391,0.4977335533546022,0.5388356168394165,0.6050205576096077,0.5673004915974855,0.6191562122707346,0.6399189732214124,0.8422155478565349,0.725173248456433,0.6146337155192927,0.5739202588068328,0.6357307226620673,0.6248305200429629,0.5236553881105336,0.5058209878037486,0.8126238937960686,0.5210804638248507,0.6591222326848972,0.4693129980147316,0.5513866812407195,0.5001287249606148,0.5096760027102818,0.7918512294997139,0.44427781496463736,0.4794000967931635,0.7500574608895891,0.4100485276254434,0.3372823830305764,0.30069444651780985,0.3438188483204345,0.3406799942418791,0.3846553791380899,0.4697426241584852,0.5154599365760271,0.676961547342068,0.5900402741568134,0.5469934879848295,0.47259952365600116,0.4327896906549319,0.33896808322032096,0.3067445546558292,0.3289420202734721,0.3443168895170251,0.3367447865541727,0.3450999447232552,0.4000692221751684,0.39827337531726226,0.4341878992748789,0.3677364719713051,0.46670165648373857,0.41109861239087253,0.45552957662510263,0.671074524906507,0.37881838989098454,0.37499164845280375,0.4258235740310745,0.7832560880426597,0.6590784563291966,0.5490582384461239,0.46278634358982634,0.4179360379060103,0.40077303589744045,0.35333465265078856,0.3612677628520279,0.35722901382539474,0.3731233669998704,0.489529868665339,0.5653254116700629,0.904776554824961,1.9422210668608508,1.0404014473892909,0.6834931631175637,0.47781901538144733,0.5339055080295674,0.4072769487026167,0.4817679145032814,0.40919369592782917,0.38538694531660084,0.3847032638723122,0.40602121347242975,0.40315355827922855,0.562677055152896,0.51231994780719,0.8515664890690123,0.7857223674799544,0.7817304826529333,0.5249836489301227,0.4092873539986633,0.38411706081247116,0.3932154322019785,0.38506581460803624,0.438801973730049,0.4568090622312235,0.7066586985713627,0.4640829451227961,0.5493470272441677,0.4008696445008437,0.3965224888073091,0.38918032240089995,0.37945962102719033,0.432336072648457,0.6033429417716182,0.6400622876205498,0.8622085155918203,1.2380815742278575,0.9393377353929299,0.9304573053936764,0.9422067881394908,0.713384213772394,0.6440923398725934,0.4521186904691413,0.42501314608206897,0.570601715498163,0.4878713326401571,0.49734551470592153,0.6455504255817314,0.6697986941503116,0.7933110027049759,0.6565736626636937,0.7186065599599751,0.8648753956962058,0.8933902712394732,0.9696381074464121,0.986683410491167,1.1086085577479106,1.0759224068784539,1.1743386151237856,1.2964761720477502,1.3573410057584288,1.3400297350976302,1.474899094223842,1.2341230119087476,1.5002212002281574,1.157909138467268,1.1569255189866607,1.2316188653975828,1.1513438590685776,1.5372200867481531,1.2992428603027784,1.7398882474331927,1.0393903699384746,1.060432262692712,1.0409403358258198,0.9712956511974248,0.8965896683082059,0.8274830515023796,0.8257839591456043,0.7738566538351952,0.8345233651148903,0.6951017398663888,0.8208467677976481,0.7851555321888756,0.755653304202009,0.785390579339459,0.5918980371822674,0.6525481341656059,0.7069218167871142,0.9584393172103628,1.0701885065590657,1.1891840004534355,1.2559321805099208,1.01141871297359,1.0960056251521233,1.3913606070339242,1.2126275639942443,1.0835152876051866,1.2972952649410814,1.369113094416563,1.2303765865368013,1.3320382807958024,1.5221898280321544,1.540471958643105,1.4211977193618452,1.4615712979790763,1.3250226396737075,1.2339746409723698,1.0982046536564805,1.0670355374974183,1.1557681470858605,1.0400017762361553,0.9739502415730353,1.0162647423899063,1.045019384364658,0.8685498122450437,0.8933674310796155,1.1565333293680704,0.9564167582952512,0.8354767743858116,0.9357529120286433,1.1236501156185974,0.9940296478105918,0.9758551663173235,1.153942967376766,1.2173367106286483,1.362049048636105,1.0229908786754418,0.9523923392438675,0.96570171597871,0.9751110610976593,0.9387188707361112,1.0614069158850046,1.0083391990126305,0.8750374339325336,0.8298332843415712,0.5093409023464441,0.4244238759228399,0.7500732962485812,1.082470772425476,1.0197290544259692,1.8542411941093637,1.1081235346281102,1.1728468154523057,1.7780376609947268,1.754269978630354,1.7897116832972453,2.270433268015776,2.723653133106132,3.895367513534232,4.606747128581783,5.781499208808391],[0.666312595118945,0.6506039719300626,0.5983753819409455,0.5034317267513065,0.42737746013891925,0.4864972182773037,0.316629078848315,0.3334649495973118,0.2762329071053761,0.31310474668796895,0.32842999437021014,0.4067990673437809,0.3253389598439735,0.37389127187112486,0.5291158227760062,0.47410279007453315,0.515938178266118,0.6131123556151259,0.7593555454077776,0.6827150599435988,0.7631372514903444,0.750652350692827,0.8791273593828287,1.0201352603937568,0.8085974714798215,0.8103905740731387,0.6438708332717284,0.557791764458214,0.545902549079786,0.49231428095378565,0.5655684230969852,0.508863416617696,0.6293976186704233,0.5672767365910795,0.5005714723177295,0.5457666448391392,0.4963779706761861,0.5534598434096699,0.5457732068613013,0.5255099397396661,0.5709208003663608,0.7311129556074423,0.7011725141360414,0.8943286724273288,1.3411168356538865,1.6584306249308842,1.7618328810314638,1.1093441199801508,1.0808586425194253,1.0983219209500403,0.9055920659333337,0.9429495465728462,0.8898984147411334,0.6208528149238227,1.03121742781538,0.6622222210987059,0.68424004847459,0.8495310214177444,0.9123196935800363,0.9056847578262679,0.8568449580447801,0.8051844921475703,0.7671267382337216,0.9790742795384124,0.836194687963522,0.720294337167768,0.9433151910159651,0.7753724274566011,0.9825318075250239,0.8285085376991823,1.0386846410568567,1.3413846669311869,0.9848433656464064,1.1205183674643278,0.7907141595789483,1.658199847502035,0.6986693995933673,0.6502873147500172,0.6218057181906247,0.6518065721719385,0.5954619366194202,0.6542285961174326,0.8916693272811358,0.5453190485714731,0.606140154652645,0.5110536404933446,0.5663076604040475,0.5991624410437422,0.584052690031742,0.6141328321533412,0.6461112384175124,0.8419485927609833,0.7124401642112569,0.5917425697291232,0.552966139927167,0.6140979749924078,0.5674876634972054,0.5006120729166079,0.4731275987503018,0.7473929445180504,0.4795722533040733,0.6239993581048789,0.430202668396835,0.4974413195431854,0.48085628806175945,0.4824489669685006,0.7864229556326445,0.4307254009264162,0.4629550300967487,0.7778322184629635,0.4053173414675657,0.33014203069284837,0.3089784987952435,0.38528897025981285,0.38301294446971773,0.4494432306500718,0.5277458166105622,0.5935336902265779,0.7383713105274293,0.6254001763090867,0.6058448479692853,0.521832471333253,0.5176444096126751,0.3939450653345479,0.36181764675117817,0.4052716992716526,0.3423521290333517,0.35958900336107885,0.3569890312043704,0.3810610492573654,0.37256179552262636,0.39181416247582507,0.35123583177421924,0.44434031648405825,0.38727904193982005,0.4350477694841942,0.7203589491786017,0.42577081308909137,0.4413363311018149,0.5051035458776999,0.8625956651248812,0.7843566044578144,0.6359977750216509,0.5253800602943537,0.48757154656834684,0.4466078680521661,0.4104770269557692,0.3886872751754845,0.3575709872940517,0.360535095229966,0.46358227018671977,0.5366313147155154,0.829816263205215,1.809545848117945,1.0277110529754603,0.6303235427809868,0.4401139689568635,0.4684957382552669,0.3742989870002846,0.4278515477020332,0.43983048980154843,0.40616363345537776,0.4471674301446002,0.47215883376398493,0.4322615868095088,0.6408581223497349,0.5974592686532353,0.9626491897481573,0.8671652240388384,0.8451264997419856,0.5970653020983034,0.45931214804808534,0.41990873250479394,0.41133878692470194,0.40034567818962974,0.4141261211805036,0.4514302301612489,0.6515150499346538,0.4731549077389847,0.499994658535637,0.44151779582523365,0.3762624196738418,0.3871339177424282,0.41218607356856013,0.4849562526454269,0.6929075787933596,0.731375004110799,0.9423969285449013,1.3168754561300893,1.0416785055640032,1.0753760158428651,0.9740115276321877,0.7722416936247416,0.7049610409894898,0.4829490069669507,0.42525418354428,0.5539883426239196,0.4655442361676815,0.48069006759808913,0.608466544609838,0.6077594506236718,0.7250043464147393,0.6141712419674016,0.6829164904449401,0.8070226511840931,0.8442848501340918,0.9282090209031799,0.9600483377124008,1.0661408093636837,1.0593511122567951,1.165932618034634,1.282818820034797,1.3473652982526627,1.340372356026277,1.4884583800676323,1.2507150916608671,1.5037499913130257,1.1596641761732527,1.154074567879736,1.2175800571704312,1.130215730173412,1.5118960344338925,1.2687551374306452,1.6631699040775474,0.9782104748418947,0.9591767071149147,0.9284594188872707,0.8580601872689406,0.8625705856915539,0.7722372531346648,0.7474406630381714,0.7616862473892259,0.8604430192490092,0.6839952346104734,0.7754284245973696,0.8586432563612434,0.7932294473496039,0.7770629770365632,0.5757084819191999,0.6016738651802112,0.6243461394491966,0.8659607467855279,0.9712356248965067,1.0744474110660236,1.1577047657790218,0.9274468442862368,0.9904234105505805,1.2663935610989134,1.1266457555864315,1.0047450073737942,1.2178010341747643,1.3007926082832808,1.1777358350372549,1.2594752311986261,1.4564754525718817,1.511435579838725,1.3725031126686866,1.4040415597801226,1.2745767571632534,1.158949413278568,1.0110151720793399,0.9837044932331191,1.0966061880542577,0.9955856448439558,0.9088176692566394,0.978832181660946,1.0180465754952215,0.845010401550071,0.8768857761165122,1.169375443869101,0.9590852217568878,0.8475158290871465,0.9516350467550038,1.163770951915183,1.0210513976840194,0.9783760351348886,1.2039927298088535,1.2227342685532323,1.3706978579696247,1.0329309757263252,0.9507038273809058,0.9859247764288184,0.952386603431793,0.8938955272940465,1.0566684723113424,0.9843036433124316,0.8223732859615316,0.7293370567167995,0.4948565727370636,0.4587290840082166,0.7673712932355954,1.031440022032459,0.9543703562596741,1.6880447359637587,1.0868125314248513,1.1778133501074428,1.7732126619069688,1.8505396604324305,1.9669711769958624,2.4237515890229555,2.800753443830894,4.008253792904263,4.598371913246473,5.74613343837093],[0.7158179688844046,0.6586964890826988,0.6085507588686827,0.5242792856423067,0.43027320844314965,0.4800999981521033,0.31994373979665075,0.3678516665379286,0.31951479237249797,0.3201306380523695,0.3455559402079977,0.4035417618650873,0.3341431003694297,0.35407649426828497,0.5502679298936238,0.4727448431141431,0.4708006835387435,0.5590483353875214,0.6756603364576705,0.6131472380918672,0.6702610981776238,0.650378584101784,0.7766257238625103,0.8849880198716936,0.7088429021781918,0.7008403336239336,0.5365167977863978,0.481141738346784,0.4948534700168145,0.4701414463097776,0.5546689432031745,0.5267070596151331,0.5799471356873379,0.5454636207099266,0.4805413741617204,0.5117760301462663,0.48274841332589613,0.4943608617288791,0.449738845139251,0.4380192713958398,0.4647031521578188,0.6400205839534584,0.5996878849174752,0.7995218758473281,1.2345096090885799,1.597215463506919,1.657470713148219,0.9785601257588363,1.002429979870497,0.9942212658511886,0.8097296509962421,0.7991369091411249,0.7452162666215078,0.5278837543389064,1.0271278915854387,0.5646805759256752,0.5936299064705657,0.7672465256768689,0.887264084134046,0.8375220313510329,0.7709660959341315,0.7383150138518959,0.6919780672183115,0.876701629224356,0.7378952542005788,0.6487798767613048,0.8885221559556512,0.7234698729830883,0.9296896605770858,0.8014754224672781,1.0424728520990068,1.3602277985984432,0.9749026836023995,1.0610950527749674,0.7570428757492745,1.5864110370662676,0.6416078929495646,0.6088618374464079,0.5730715833319733,0.6039484444193324,0.5635156354031138,0.5920459422626934,0.9015593712685497,0.5457321445213613,0.5260595489507479,0.4864822980613653,0.5049409894774568,0.578897677134494,0.5326021861584594,0.605693523223488,0.6089122984179931,0.8124370945701178,0.6951723674105549,0.5762200532978086,0.5556346223378875,0.6268547203950204,0.6148358029608487,0.5028387442476504,0.48575798385257807,0.7609192763104095,0.4955993260639172,0.6755108142280051,0.45447778996794036,0.5239642079770134,0.5081296334903036,0.5173593238235892,0.8639029024713402,0.5123502164901681,0.5482248213651435,0.7996750858570312,0.4661417591086643,0.3762974533463494,0.3228546027369973,0.36153204277594747,0.3343389952779858,0.3813221113504383,0.45581851264389806,0.513580819559949,0.6321364560519995,0.5743075517945829,0.5249621978004624,0.45980684510605174,0.4431844415872733,0.35196415172793233,0.32513536746119615,0.3622710161972702,0.34915738798652796,0.3517581068957361,0.37849956039975285,0.41298554526130865,0.419772429773487,0.4695797499967223,0.38655348358506075,0.4578785965097974,0.4050575529987471,0.4574593111020046,0.7020539286924845,0.385265976235119,0.37639174886884913,0.43016607899550363,0.7870170400443218,0.6829787232629696,0.5310603556943274,0.42645388099857123,0.39378241096392336,0.38205776309714484,0.3416457146413879,0.3572499730134451,0.3414660384101836,0.3729225777187955,0.48214013395678096,0.5379502411132587,0.8743783519858221,1.7392412510801156,0.9422476924155692,0.6245860534903741,0.45408096289772254,0.5127891864256982,0.3883156363497665,0.46987440461507624,0.3872823347025323,0.3651243379759541,0.36035231907042065,0.3888162816187727,0.406867619426024,0.5590778526144219,0.5264518356462864,0.8720990409705469,0.8225072990921927,0.8120213743946649,0.5341655197170084,0.4101395267147602,0.36436311121910975,0.37673672342315084,0.3813840187341495,0.4266942528671531,0.4386982264211226,0.672604465636126,0.4561726828042856,0.5193961907450222,0.4022982847047714,0.38376321456524476,0.388342572647959,0.4034157825193273,0.44588024461884923,0.6044930737820444,0.6213250554568284,0.8638906701900847,1.2170913759289277,0.9325225212661492,0.9259523396876521,0.8543048577155448,0.7068108079260398,0.6646043373052238,0.47735280566066535,0.46881824366473407,0.595640384067245,0.5063062131653859,0.5340979325667675,0.6412149768816402,0.7137808948449281,0.8252717962493603,0.6809035416749734,0.7600394740223188,0.916925376447608,0.9336491441288319,0.9721948193085898,1.037404974092908,1.178621556859872,1.1187694630017915,1.2225421045112097,1.366056361405477,1.414717876890612,1.3616986202078167,1.537234742317186,1.3028061648308065,1.5886112802455077,1.2409689827419004,1.2459258325029963,1.328554785317495,1.2644017507039058,1.605404807227177,1.4409525053133336,1.8206687396008403,1.1363752448661875,1.1255395928284206,1.0931469455000546,1.0213743843784355,1.0154052171751924,0.9061247783564759,0.888318903132452,0.8728774499662747,0.9608088289640057,0.7962307207550119,0.8321190375297366,0.8823056794846703,0.8372142362637884,0.8123504465634631,0.6570893304604818,0.6902080733038815,0.7302364935173252,0.9759855803325427,1.076016219361213,1.1953553547212734,1.243522920013079,1.0426970322814275,1.144017187511453,1.3999095276564284,1.2391710417554644,1.1390072588672684,1.369308941086276,1.440078953997044,1.2967930814064612,1.4113666617645209,1.6102982694450323,1.6279922212209956,1.4981153106056422,1.5483772014922939,1.4127618121969825,1.3243518625626205,1.1751157413435656,1.1572287340229221,1.2554484826216095,1.1168600513064224,1.0473045197381259,1.1119045125078872,1.1353265199191602,0.9473058124470105,0.9966591233137417,1.2808390878173084,1.0432258626659616,0.9206696023189305,1.042498655166759,1.2051484424897285,1.0813907358750166,1.057039676629059,1.208472977069659,1.2486119471660526,1.435245917296096,1.077907563359059,1.01767062334524,1.0528464503988544,0.9973974124539494,0.9679644085083285,1.095603858572692,1.0321080618799112,0.8894190478326442,0.8504511648971109,0.5360088523306986,0.47943569112641393,0.7464220072923694,1.0783498276099541,1.0358696735058839,1.8186555443559014,1.1723447629350945,1.2292880592423832,1.8738815953363026,1.860025535803437,1.849757970173856,2.451366782553275,2.9144458389163925,4.067420542435189,4.716060433774974,5.71940385187954],[0.5432734568082693,0.5019662641294403,0.5176151302256939,0.504323426890388,0.402090251123945,0.4116633280163699,0.2984352001605055,0.4422134835160714,0.348545710860046,0.3332171004440082,0.37510876614750327,0.46935055139446497,0.3697013488319729,0.36275052472818203,0.5579150202825643,0.4836700989249569,0.44991431233555684,0.525656116959928,0.6089563546159978,0.5579744843022498,0.6118139193221241,0.5950702206812736,0.7165478779030883,0.803565130175238,0.6759321448190391,0.6433384574422167,0.49658522547018846,0.4554142948821029,0.47608346515374084,0.47424266187174674,0.553393000314772,0.5543433853723865,0.5740946218186447,0.5519381721946833,0.49518794170690955,0.49973807915518687,0.5022308020804149,0.48882770273756776,0.4385740549671592,0.43830197483337324,0.4402333111549361,0.5999463468709292,0.561051793683127,0.7794994733088735,1.2219314427049464,1.6173539267036838,1.6756774310836549,0.9565180534512309,0.9949752665910904,0.9896510554984294,0.7646479765439429,0.820085358964652,0.7400089931584265,0.530452601189662,1.0009959585757793,0.5423785731645747,0.572937871597217,0.7469979281165977,0.8706643154108914,0.8156471022855792,0.7265528695905018,0.7313131399414473,0.6770311408334759,0.8197438660178898,0.6768246516111942,0.6175335388394952,0.8323155740500394,0.659990476733972,0.877170040095873,0.7542997284823256,0.9938507208200531,1.2888231154724892,0.9137809718336608,0.9947921904906816,0.7221248415969037,1.538989535442712,0.5992251916680466,0.5725095262609682,0.5515994196336766,0.5698588723394756,0.5763475728601466,0.6190033945334054,0.959748719952125,0.5609591259312189,0.5276031814699638,0.5106867089159047,0.4987319643971738,0.597170607505439,0.5083503165328763,0.6090176628869683,0.5806864185305686,0.8006808735745197,0.6801008246669428,0.57951343535715,0.5621559460381131,0.6292222382957393,0.6264935477724093,0.5321764436120661,0.5282279604312384,0.8074591700634662,0.5430533618353733,0.7461970782561553,0.5205289982440151,0.6102405634125394,0.6097735825062862,0.6192765576125099,0.9479180629222984,0.5770437808638439,0.5902922167229128,0.8191605514412654,0.5084832554871052,0.39149960278606016,0.321617288022793,0.382252050821983,0.36121583994728645,0.3583155261814925,0.4448886630995228,0.47421198788181296,0.5736668095140445,0.5533370317469753,0.49608004656447396,0.434455767567603,0.40956854212776544,0.32340148848266836,0.32505995384263714,0.33139913102963114,0.3380224138645504,0.37451001688488095,0.3821391772191413,0.4646024843688086,0.4523551061276092,0.5003427138633023,0.44428911738068233,0.5145436873812863,0.44726720153383687,0.535990855400072,0.6992386998761557,0.39046084386139124,0.38033851764693655,0.3849167142910579,0.745465861714507,0.6549818965742316,0.4943179681979934,0.3991112562754226,0.37970238707951787,0.38953998155997016,0.35044280527519917,0.37830030725180674,0.3803675025030069,0.41401627471053654,0.5832543659295105,0.6007338588359454,0.9392615774675269,1.670859981087112,0.985281129565094,0.6932927170960543,0.5184952502633291,0.5907369874483813,0.4596178853464838,0.5266430082268405,0.4049458361105075,0.394745054183529,0.35123437258462736,0.38034164972868134,0.4314664154018599,0.5404902912938848,0.5290262573596667,0.8888108731702367,0.8470508133725134,0.8398104132283022,0.5292697345021131,0.41297031143247614,0.39441018498307157,0.4124824102399244,0.41073783298534444,0.506236364503853,0.49822271500040555,0.7376009861609665,0.5027850388709945,0.5880160557917471,0.4342525881916616,0.45495936513308016,0.45054790628049735,0.4484942988153721,0.4556899887685949,0.5761999343352993,0.5994224780758461,0.8094807248634859,1.2338908381969422,0.8711312570199325,0.9193706605448128,0.9125029249323203,0.7541294667732407,0.722868763441366,0.537793894917733,0.5411413044408913,0.6327506098935899,0.5993541646487837,0.6213501581752581,0.6979369447499368,0.8425597969259297,0.9513035406614656,0.7869177243163359,0.8778768679098514,1.052642996296889,1.0649208598436426,1.0986824628880438,1.1578462772704021,1.3092176096080765,1.2314898230269822,1.3131384877354524,1.4805608985157268,1.5425986740492548,1.4439800726584442,1.6121103230013973,1.3943564519722271,1.6587943168270518,1.3188646115350473,1.3305191967830636,1.430915128724987,1.3762611856739972,1.6864693937302264,1.5601949903413492,1.9508348582426818,1.259812577600941,1.269243308893507,1.2220046996273444,1.143389242500342,1.1593269847429184,1.0536642765568551,1.0068941156695945,0.997447407708649,1.078368663154186,0.9039104138071037,0.8791794066627618,0.9946475029863443,0.8984401442198171,0.914832540122115,0.7654388776161357,0.7666797822426374,0.8287609568659405,1.0707928500207489,1.1436235418227458,1.3183608928504016,1.3109776332092002,1.1297555711581193,1.2741751638992604,1.4666681123837826,1.3187681654836747,1.2656743847242211,1.4966489881842517,1.5636498297745698,1.4388027778004266,1.5428691268530128,1.7297993513887169,1.749925119866513,1.6304034278239001,1.6852867150869677,1.5469919028546124,1.4591545487742112,1.313511333506347,1.297493482259222,1.3934235502040584,1.2493138941718844,1.189944849401546,1.2390532496343023,1.244548502422141,1.0558534377820168,1.1060652684025272,1.3625786300884657,1.1138992323189605,0.9980293527755034,1.1167926655576348,1.2493175374586227,1.1176683671257195,1.1019365142515662,1.2194755860652735,1.2482393890755779,1.5004672167250626,1.0853255315081427,1.1035598350830398,1.1632643535265719,1.0024293081730038,1.011968086960691,1.103702543395587,1.0456112655674328,0.986469902206862,0.8844985280247004,0.6025916906121863,0.4867079360663816,0.7741198348115962,1.2000224113444153,1.1747045816213266,1.9266655976683897,1.3542036671982218,1.3997656729741068,2.0253824382400505,2.0007929750028395,1.9896738878268374,2.640068224344478,3.0396548908325403,4.138150450348009,4.712524336834932,5.57373060075012],[0.5233166563195681,0.6151485219918426,0.5913267981583737,0.6551074033360486,0.5599121865621353,0.4511614688929484,0.3668362631161983,0.4864472856273089,0.3571846557162425,0.3201807092463065,0.3475329542821369,0.4299089493650319,0.3338378243661173,0.329644372327545,0.49491976398242526,0.4272339419059773,0.4081147255679884,0.4960178045056847,0.6006338746547883,0.5196594780124776,0.5888298478847407,0.5666696087627642,0.7145500645623953,0.8308239588198517,0.6438366282704763,0.6189442152009046,0.4799251584450544,0.43169746887134347,0.4300457097821411,0.4268158760294292,0.5167668428276382,0.5013971927359617,0.5495531932787714,0.5136469376362824,0.45020844602154925,0.4581593560659097,0.4579181472283734,0.45966406132001375,0.41176473752042675,0.4214788428219702,0.4220577588777522,0.5615918231899124,0.5329653498419555,0.7548737835876969,1.2104319469300533,1.5900261854743547,1.6996325687537066,0.9408818110461976,0.9540589281316814,0.9938163244570646,0.7660943000423651,0.8045891185364291,0.7362919490211304,0.49889459536798797,0.9669077866532585,0.5026893893398362,0.5435092244901133,0.7289140481168145,0.8294519318597368,0.8216513365639925,0.7110746901124566,0.7018412173191036,0.6651190710542842,0.837839888785135,0.6722666609401863,0.5883543992917826,0.8364984665334619,0.6574694518428115,0.8897987330846154,0.7442170109698107,0.9830417401386398,1.3046960399246577,0.9161427011606185,1.0313928726795505,0.7045465163833134,1.5742280921127187,0.5807882415276215,0.5598370677469473,0.5158487139512345,0.5257442823484696,0.533198846875641,0.6039839631071784,0.9520477137466162,0.5458493243663415,0.505431259066174,0.4660560636843957,0.4653674855376327,0.5723373125313124,0.4675331414814141,0.5689341464427197,0.5616666451839631,0.7910702676006397,0.6737210373476833,0.5520609949348873,0.5207165502791257,0.5979958431174226,0.5808726708323442,0.48741846898679075,0.4827556338659589,0.7918155317502632,0.5202607916196146,0.7592652395009352,0.505962745956845,0.6483903948792828,0.6653529827706939,0.6835602265000471,1.0037978041247504,0.6600515659073128,0.6825288282054817,0.8298546998086944,0.6130899248900555,0.4540737755707623,0.3687286446488399,0.400356183129937,0.34902901353440613,0.3536320941603419,0.43960357681563034,0.4792433017420401,0.6051907883144848,0.5419048836968599,0.4923135826870636,0.42814319644719884,0.4110059345806309,0.34263841598214073,0.35190932424782634,0.37610703035054244,0.4358989379681283,0.47888991396047564,0.5261336937577101,0.5829963961232022,0.6339154113673869,0.6883102206494732,0.574292359087456,0.5798191673095723,0.5479377595083611,0.638630322679923,0.6903591534215524,0.4332086497367274,0.4052825981774414,0.40342095602424405,0.7503175719091764,0.6879959531515949,0.4842845778084482,0.3892679902250966,0.3728929050068962,0.38300166775561845,0.3493811980398466,0.3931067365943402,0.3938768901181748,0.4395712609833151,0.6223707910013621,0.6156495948668976,0.9650930461216841,1.6805446804729653,0.9657652774717376,0.7002584859893308,0.5050167252695367,0.6174013418687716,0.4465727871373821,0.5585391658926271,0.42095362319807966,0.40562668174165606,0.3551074744825478,0.35293706416668386,0.4726788658647618,0.5780610278396191,0.5323960010928983,0.8820700581697098,0.8668177432146211,0.8089575594394599,0.5333249259608589,0.43340416496181045,0.4286658516123412,0.43163400842670535,0.41119778270181573,0.5332238335154096,0.4933771011407435,0.7438689030525251,0.4928009307896907,0.5996904603603471,0.4380339153689593,0.5075079846041017,0.5234781398044146,0.521428640812739,0.48317709531855324,0.5374538579795162,0.5836527089779411,0.7575728011074278,1.2125648982742812,0.8789953498462179,0.9473342701665227,0.9427895773923263,0.8408798334691855,0.8296016884903019,0.6624008976998689,0.6523432693708948,0.6369405052345444,0.7430886430718517,0.7537872892252302,0.8607778931945955,0.9299514654517907,1.0172655499111714,0.8837392139866934,0.9396601361239109,1.1388665142397925,1.1486750554441052,1.1497884085130718,1.2216734661553925,1.4143072536960257,1.302737688647829,1.3524242189128242,1.5705293946236052,1.6337100374840707,1.4800745012115606,1.6593075653305787,1.459365037861043,1.7066056846214022,1.3662208648764438,1.385277922993494,1.5357010011614727,1.5031811859073823,1.8048805003260573,1.7100809594214381,2.0154213530664005,1.3640526507205861,1.378353644262694,1.3473065796325978,1.2419211581071417,1.2566138602510641,1.1384313079999229,1.0936374561070428,1.0886480127660265,1.1560167314273855,0.9949835197799922,0.9530995666678888,1.0935491533181563,0.9709534977009544,0.900294813005848,0.8418965456828512,0.8490857931259507,0.9201320298138154,1.1492344709830222,1.1898163536840924,1.3769980668442439,1.343572165678448,1.1849741658617807,1.372184631803654,1.5348617044925534,1.3680091413334392,1.3549149185125497,1.6123740003054023,1.6713119398129743,1.5485619157568085,1.6802126034796068,1.8793371062217252,1.8871609846927062,1.7663638902603678,1.8459088206255363,1.6764569877239628,1.5957702859281546,1.4342101852552653,1.4182861501083246,1.5295596322242768,1.3415139855661566,1.2730292097722935,1.326479478699828,1.3166165863535044,1.1166022035189815,1.194611235207559,1.4080588780399081,1.1546811548649087,1.05435082429016,1.1517111736262748,1.2770422968590702,1.1476176585668665,1.1213118581725972,1.2106845522146255,1.2245879323767044,1.5162782883415213,1.0589921977190775,1.1463620829254784,1.243443422100312,0.9874800300532838,1.0046408559182431,1.0559607673769076,1.0402356817328569,1.074668033068452,1.043342681328279,0.7734178359259146,0.6269447127239469,0.8823056585658039,1.2179687173719875,1.2498316936552738,2.0164147415315163,1.427278393820155,1.5156067228548518,2.1754082615965915,2.130174508422257,2.074766991664364,2.8241912754512786,3.199698595905909,4.2288057201444245,4.815060930516139,5.586405972997494],[0.5842673046503816,0.566887527370972,0.6347867574191628,0.4636874459191205,0.4531641126312867,0.4597938181539071,0.36682675398507525,0.4983214656018243,0.38108198438324525,0.3574496291120231,0.3827279455255538,0.46537103841197813,0.40294401045316036,0.3828296206215565,0.5780727658885688,0.49841983616840285,0.4608901303178294,0.520929648953964,0.5898948338701173,0.5446277313011144,0.5843550929474364,0.573231721564309,0.6915191483330485,0.767058606234966,0.6453828109115339,0.6112989409223542,0.4677657844683945,0.44640350664923106,0.4823659790214253,0.5001618627101672,0.5602416776168893,0.5819494091378231,0.5691533209204197,0.5630574812068174,0.5163794902434486,0.5154388849779996,0.5274664026250171,0.49886736800176573,0.44150076163576235,0.44956291451487795,0.449325065578327,0.6091674521970556,0.5641759041017457,0.7889501326705662,1.2432701924092748,1.6680960022690758,1.6941037704392086,0.9541192862373802,1.0282324625676962,0.9904146487116597,0.7722854259492727,0.7759688649138367,0.736083748687207,0.5547175779454536,1.0470797764459,0.5767917345236252,0.5618768237958643,0.7622673933844321,0.9066242464550831,0.7905816197312412,0.705586338459797,0.6979255893031788,0.6526039953125762,0.7817060111701455,0.6536217039059101,0.5866089221411586,0.8018102252613182,0.6545015320837008,0.8281749826365994,0.7391197375671213,0.9731354334196278,1.2935084860774664,0.8972387478669589,0.9565968969235331,0.7075580384688525,1.512064464966172,0.5900160935882478,0.5740808563131711,0.5511546913860761,0.5943561209229483,0.607873697831678,0.6273333853349948,1.0150753819442428,0.6244551958135215,0.5457224259123695,0.5501789336417954,0.5068413673973843,0.6190884197831116,0.5162997811807415,0.6287611261092466,0.5786614075740149,0.7804971653517944,0.6728610417209829,0.5866136028092789,0.5716792680351391,0.6462820576696181,0.6476446912946474,0.5436258822093868,0.5494698171066058,0.8193929510447501,0.5785510102477089,0.7879650337424714,0.5817520826077845,0.6764390070618941,0.7016607792217163,0.7011733062333102,1.074656240325724,0.6847201916083276,0.7025398230170312,0.8879675457564005,0.6084367834128369,0.4840342398669508,0.390622608445923,0.4292554314647987,0.38149316461060945,0.3698818025405732,0.43532411063015847,0.485836629335285,0.555392009828337,0.5329761173013392,0.47103678174057645,0.4196582805882109,0.4092682078135956,0.3324043791558634,0.35129653007805783,0.3853792675256055,0.42870711662450284,0.4280231042454934,0.48034780153858253,0.5583953514539199,0.5290201230553452,0.5927729724781674,0.5100512791248676,0.6112149708244822,0.49641703829597833,0.5472918119333355,0.7270938203391997,0.4326002135904541,0.40867883815691486,0.4085322107983027,0.7276079249007018,0.6598949321571224,0.4920819935327323,0.40170412177639125,0.38472877684301776,0.3936805484078807,0.36455687229542033,0.41432859289313817,0.4338302313989726,0.4534500821108406,0.642441315068684,0.6308199793995329,0.9779202295037702,1.5502246728623967,0.9383829055827947,0.7160494853633658,0.5649995166783933,0.6513373268106154,0.5100693688161164,0.5837860196158328,0.45313119321492074,0.42419540728412497,0.38274834011082365,0.4098367283136513,0.47372661578626474,0.5591331929409004,0.5375027435278854,0.8596913365276326,0.8478227310131581,0.8412776619943039,0.5465087402373424,0.44282967820945635,0.4418278973889018,0.46684198175797553,0.47662170095733447,0.5706449533332406,0.5456703244995951,0.7884662021390331,0.5614110150334699,0.6398079537041956,0.5116907363815746,0.5349084905918717,0.5420736179495248,0.5453812607464941,0.5294953467254911,0.6171165851269199,0.612978945798125,0.8472140709181208,1.2499456365522288,0.8976752525455267,0.9239578541991956,0.8238067033415625,0.7276822082803809,0.7076725167690837,0.5636553268699465,0.610626823236227,0.685637933087036,0.7117059565845765,0.7285791537389998,0.7684393793059718,0.9815499122064709,1.0856687315899902,0.8863801699448174,0.9863146759905275,1.1847525669133891,1.176593687894452,1.144691969772325,1.2623985139579477,1.451602077531677,1.3061808175208796,1.3830001291687237,1.6001340310365315,1.643173753510855,1.4741671585924607,1.6815811803903777,1.468539399786076,1.7735631556860905,1.426351749914798,1.4414155767022385,1.5810978087345904,1.547030442130883,1.8540996374554235,1.7719029084633475,2.133271682440989,1.4544121063844322,1.478605322877247,1.4094919180650052,1.3478944644705524,1.3742649793412411,1.2334555926683206,1.1850412122652823,1.1745222550078969,1.2292511864207576,1.053348817760392,1.0040396260943454,1.1464896333332963,1.0136431729149453,1.0153720106590058,0.8998919238721833,0.9155942037950916,0.987695140712689,1.2236991070126328,1.292669880960025,1.5254337302802432,1.4374447128684285,1.2896624437398085,1.4630926456718658,1.6184492185159745,1.4540045405783506,1.4160014619743213,1.6737267684050887,1.7266629678242968,1.5833906813793082,1.7298724037764748,1.9215998269969763,1.9140951356140288,1.8052436250541917,1.8882392791630678,1.7340200497684313,1.6669424527720398,1.5052104684744578,1.5033552548145377,1.597026426632577,1.4054367321455177,1.3648510971192669,1.410406698076746,1.3967363550549319,1.1952257158699136,1.266874158386593,1.4904800597063483,1.2248884597525107,1.1171937901891467,1.2597929661254041,1.365450860608838,1.2208864364935978,1.2087313730644447,1.310377855119527,1.3164165781643375,1.6193993397273054,1.138290810747728,1.1739936304466103,1.2403850883917273,1.053739062808879,1.068549769763143,1.1408371872699818,1.0702960982398162,1.0248309543082543,0.9108331391548007,0.6700968347115115,0.5753618815310888,0.8074070801412516,1.2694391566057983,1.2657289766921083,1.9916353203349093,1.461607575151984,1.4852222012715954,2.092037465275898,1.992486306611484,1.9124636740025347,2.6499896094267337,3.1059492292018547,4.087005352027993,4.7676996299115535,5.460868241818509],[0.6024571168063256,0.5650807108231699,0.6423628992185052,0.4909307733528069,0.4540257581883345,0.5133125934259052,0.40321447955377704,0.4914246642963682,0.4254412517350987,0.4356312544443824,0.46926119922116105,0.5111254192203822,0.4764665217748067,0.476534309640006,0.6697434519892992,0.5918279952394916,0.5695154273828751,0.6516110832215557,0.7388838682091117,0.6866456458196534,0.7258428707965026,0.7038180017270352,0.8184293497616292,0.8857804171843336,0.7509606143394442,0.7423425517281501,0.5728900538612974,0.5532883628214857,0.5920280060874702,0.5801741578544998,0.6540719690624163,0.634620229194991,0.6262281402690474,0.6298750583576636,0.5783142985580387,0.613624736947725,0.5876250464899072,0.573892861104949,0.5116210494347331,0.523202997025338,0.5329247262634489,0.7199066634489422,0.6671121511887308,0.8542389031256955,1.2690373013662912,1.673481949415923,1.66727195122882,0.9903431255617633,1.070423876274797,0.9992030585602838,0.8277849130749777,0.7850401635303544,0.751723878481281,0.5837647181396669,1.1046393262637768,0.651380860993046,0.64167985131447,0.8094298275840566,0.9610689629982554,0.8298013570621567,0.7914433019906744,0.7931227450890123,0.7375254598840337,0.90718816325267,0.7715867631046601,0.7056540167367924,0.9204628045028442,0.7793332981963278,0.9532833820853149,0.8731998744178329,1.0969359663755827,1.4128049751099918,1.0307760284785477,1.0896853009694627,0.8319124726422304,1.6337809297473538,0.7160863619922695,0.6820195574166074,0.6417664772991652,0.6943653450395357,0.6705547772594105,0.6884383233402313,1.0043970271417626,0.6443759072823644,0.6113136551145212,0.6259215254758291,0.5951152654167494,0.6326809472309718,0.6138599369242593,0.6924934445606638,0.6863083162275523,0.8563580674908515,0.76535360911852,0.6673301792569502,0.6586062402644549,0.7298379111598513,0.7439709899100443,0.5833500845397395,0.5713879554029418,0.8076619617300473,0.5917194195857604,0.7690879990002519,0.577576491984719,0.6618675685630516,0.6865555070559818,0.6864460717296693,1.0620490612219917,0.6403716531874334,0.6627922282779461,0.9041290542780043,0.5681562111470355,0.4936568163735416,0.4195294496778748,0.475813339518232,0.4543893748273473,0.4765306480623538,0.5291007116425883,0.5747628003427754,0.654806711042631,0.620348925487595,0.5747975466372374,0.5274643475999735,0.5241579421420501,0.4352361761127533,0.4279280298946309,0.4505949666655747,0.44257924620448263,0.41642992014126423,0.4653402753083727,0.5550166653633771,0.514568590109778,0.5858440296322509,0.5039272101942323,0.636350170480586,0.4852291972239088,0.5009853334361862,0.7914093758746057,0.46963340357177724,0.47580137082027757,0.4950191216886624,0.813442380138543,0.7135350261708437,0.5783988980724382,0.49184880439670114,0.46934944724209154,0.47026189166221766,0.44158591092771515,0.46623093150156275,0.4699168242012793,0.47538113890033484,0.5911455647782655,0.5994446866187625,0.9266392759259865,1.5843979833233546,0.8916450711434414,0.6818189817321738,0.5699360145411626,0.6240276301788914,0.5182072788927882,0.5859376704480111,0.5023869665743195,0.46123840747589573,0.45073616845666536,0.4917492376866175,0.4995810231625581,0.6047711014483592,0.5663110755775154,0.865409546808688,0.8523014730846621,0.8627570547588069,0.5982367735759689,0.48336147010345815,0.486823701188548,0.5083050099785781,0.5121656007627533,0.5738263596376869,0.551640850863202,0.7930828134091437,0.5864107898167362,0.6479916739218817,0.5405889451220732,0.5443326765531249,0.5538607685993361,0.5411508719143312,0.5674892207351865,0.6942287287644054,0.700126298986952,0.9699425448634772,1.2517666056756214,0.9403381576790218,0.9360749075082972,0.8269511073013475,0.692694862275391,0.6689276389105159,0.5505942216177084,0.6122666792654962,0.740117264410904,0.6837650253933181,0.7022902738440758,0.7421176363504551,0.9353010970565447,1.043116539740886,0.8467063201837396,0.950490345467954,1.1278674894580583,1.1127230332914637,1.1131542299412294,1.200024572501854,1.363346455037997,1.2248631746565515,1.3221549939984358,1.5070865543770833,1.5263481017608413,1.406464737998023,1.6055982497724584,1.399197938932518,1.6794072369611124,1.3716296392228053,1.3796635111659914,1.5056731111299573,1.4735098643130453,1.8056267583126908,1.683046150971875,2.0573737448800657,1.3759673297234425,1.4139267502459554,1.353145655480109,1.302683422187875,1.3050842106610754,1.1704513465700843,1.1343612645151648,1.1080776574816666,1.1648893949368064,1.0035071480714481,0.9904085343127917,1.0871788901508748,0.9946641499632832,1.0234539132245644,0.8737172225598954,0.8801969874796484,0.9495933522988285,1.185918613226568,1.280885344796334,1.4912674625965334,1.4405384807929562,1.2598284386670937,1.4172469003406165,1.614660959466992,1.4371434899575972,1.3617386977074706,1.6129391755837734,1.6634717403503554,1.504011931741851,1.6522157429202249,1.8462784352634682,1.8091598382599623,1.7024923073595635,1.7885054769560869,1.6377039591671627,1.5828463849279277,1.4360929665246742,1.432233440301043,1.5080158037641584,1.3292150214013743,1.3029657906112386,1.3435006281526047,1.3367193267578932,1.147359679114703,1.2101543029014503,1.4329949200385685,1.1870968997236946,1.083590834902661,1.2282926059742663,1.3298518646808233,1.203136362071902,1.1949898730310078,1.2901373680689447,1.3095047374662243,1.582953699427292,1.142301427927198,1.1405943152952316,1.17857358972076,1.0802063624266471,1.0820796488878712,1.1538596013959654,1.0834550086498507,1.0155091409185664,0.9223969591254563,0.6409586276671434,0.5599540678036805,0.7894919605790425,1.2242745102289743,1.2015725798506156,1.981034135573807,1.3390386122438318,1.3674295583655791,1.9831996925623994,1.7959156719401155,1.7224401196788046,2.4337574700618063,2.9674451566554243,3.9643844431943753,4.738472297077069,5.5470817898704485],[0.616828005679223,0.5939799601789681,0.6677083757084767,0.49471690042540584,0.4425241841274099,0.4909738322457218,0.36572230717206006,0.4764253541766132,0.37333327153269286,0.36308731258335275,0.389582368712078,0.4644332705606409,0.4049519910151778,0.38951036956886315,0.5947281586540673,0.5251913190708278,0.4923606602499813,0.5802835247728889,0.681666646020384,0.6152339494863128,0.6723541758854674,0.651463246221542,0.7598208030841548,0.8459276521983282,0.7105448115280634,0.6939887087741129,0.5197343535596115,0.4832246923303565,0.523720417329046,0.520977970846642,0.5874959252770305,0.5874766891288761,0.6092433360685298,0.5949855471997926,0.5363115904741039,0.5486010762313367,0.539417400170067,0.5148333647074278,0.45943591973776216,0.47556879604870894,0.47145556759549045,0.6403601706306635,0.5966286512520502,0.7902131915149375,1.2259946840469116,1.6317484964917819,1.6548960497571619,0.9523865984750657,1.0241683468716498,0.9797671088315214,0.7896625099482938,0.7672411012216566,0.7216881703307177,0.5388347182983992,1.0707673648714775,0.5914714446981872,0.6020122734621376,0.7501248088983317,0.9041886947586544,0.7954387101583145,0.7520206869546526,0.7664486944911063,0.7138959453718682,0.8936312099651409,0.7349300756474089,0.6598739413242475,0.8893860545282927,0.7388327200127597,0.9201067682045719,0.8244890835025787,1.0425580764478952,1.3954554809056023,0.9979940328377287,1.0737955352243453,0.7871347355458004,1.6291143612230365,0.6732393607013584,0.6444714542555806,0.5964169299012005,0.6292256084272453,0.6213314025450112,0.647039511532454,0.9885486674687114,0.6271203932173535,0.5717753368917815,0.5725149926106661,0.5324374189372951,0.591464792738366,0.5535558212244777,0.6431349766029032,0.6436056961495842,0.819598111475347,0.7253789661984901,0.6332360267082832,0.603988292177398,0.6888585022265797,0.6775032151082562,0.5394971212773417,0.5431640153207474,0.7952618971835291,0.5739809212672993,0.7636547169291251,0.5600837257603393,0.6628368764244897,0.6881357513400855,0.6912642446596253,1.084618239611593,0.6761924171131837,0.7046638415354527,0.9229592470302901,0.5928706097123889,0.479921452330157,0.38468994287625846,0.4276275995396585,0.3868749336169631,0.40068932025439086,0.4569374058602812,0.5249231294334985,0.5919815509654752,0.5572007659830249,0.5076220791451672,0.4490164440928014,0.4509168417160275,0.3627421903312889,0.3642669358108907,0.39035808258803895,0.4251802955844829,0.4098453633779202,0.4625514350102856,0.5497121667245622,0.5095914672761434,0.5785221952509855,0.49832239121535477,0.6319170993348651,0.47555243841120465,0.5103399539260762,0.7613657505744948,0.432133744792653,0.4243436136572593,0.43667061215370867,0.7955592463137303,0.698110311286579,0.5192408009378602,0.4200130319805156,0.4025248192581944,0.4119040913660646,0.37426025784279054,0.4060802716759569,0.4291848629883647,0.43680110754085066,0.5893554918660914,0.5948972078788985,0.9311392293361216,1.5733594862254614,0.8770329901805531,0.6799383040654927,0.5509731192405649,0.616108352303982,0.4853406154714832,0.575205500123116,0.45803572127736214,0.40989740875461705,0.38401803058585965,0.4249295479750762,0.4507564566764147,0.551195272936849,0.5406914630744765,0.8680797901375651,0.8589666559406042,0.8532145614379689,0.5710797467404074,0.4470080931261822,0.43798630800292265,0.4657560190862241,0.47458347278539664,0.5531452370650984,0.5202031335608394,0.7831937998057235,0.5559046131329625,0.6292250957636385,0.5073926079832118,0.5286343368190655,0.5413931075328993,0.5224886464021734,0.5331813981792043,0.6426008791144643,0.6419707383770173,0.9110116776768329,1.2343473041401807,0.8983620746349843,0.9239681070762125,0.8411352526699273,0.7011537395867883,0.6823336026690823,0.5536023368124794,0.6339039538886952,0.7475455295576385,0.7160431631667175,0.7464392557884353,0.7668678060581146,1.018495070599606,1.1223181497554493,0.9030135645443443,1.0296304925993591,1.2351245016805494,1.2037794377511957,1.1833698934870642,1.3121090402370459,1.5007071838421973,1.3251729896013882,1.4215474701710245,1.647135082389527,1.6545918298154467,1.4882007096382015,1.7256673925584427,1.521939619500776,1.855532923438667,1.523799609223507,1.5159150974078444,1.6765096189092112,1.654505455322177,2.008240932302043,1.9097032543186874,2.2606177206903815,1.5516907461944836,1.5841502837558725,1.4915099211886196,1.4451192176736896,1.4705534946499395,1.3046747484936223,1.2470672503910674,1.2369392520657068,1.2865599469956157,1.0976196544891188,1.0452874497194822,1.1851494694803932,1.0651716490058651,1.0666856158717504,0.9452837102502963,0.9334383798326479,1.0295668352097191,1.2782789819935223,1.361227037695985,1.6223563449567753,1.5184342802310324,1.3420183290795962,1.5421003992762978,1.7182974789346515,1.5253294467156406,1.4720288022570638,1.7477764938606668,1.7862338807905422,1.6261251730584163,1.8208296127652381,2.0183341816611713,1.9652888169401639,1.884488506127387,1.9990817588674747,1.831728586708977,1.774726814970404,1.5936494512204382,1.6073823257132027,1.7059755386759827,1.4802435991717853,1.4502504392328028,1.50671543721241,1.486570865111301,1.263530887343095,1.3475018868514843,1.5738603487264964,1.29966642819134,1.182386612009809,1.339308753666086,1.4327735344513741,1.2808603908737108,1.2670583402504028,1.381881465685813,1.3613952001072378,1.7163483860259297,1.1989541689308645,1.2362156434349643,1.27146115844329,1.0996136275941442,1.1048919126261472,1.1655139921138706,1.0924759105293678,1.0393054275596019,0.8857223125731349,0.6639260293751066,0.5701370260473869,0.8128219217021753,1.276858683302538,1.2676218629380507,2.0101846986177496,1.4060265251816082,1.4467097954977413,2.0234071464767296,1.8150577705248307,1.7539435602166025,2.4612892787268854,3.0085326456096264,3.896052647640476,4.741248961633634,5.502850472205022],[0.7772087353739064,0.7619646743941837,0.8591916729615168,0.7067663637839197,0.649675284751689,0.6804266556642302,0.5921399172576653,0.6832832471206913,0.5705063505584081,0.5519471984227682,0.5686994602143226,0.6524834177873396,0.6044494922859038,0.5536506779870668,0.7311327644846136,0.6825327081218372,0.6456156355263504,0.7015986854649306,0.7374190870576308,0.7232185063161702,0.7450115143761461,0.7450684425314671,0.8444790236737377,0.8960228784353914,0.7929299713959649,0.7699440563673721,0.637883674646201,0.627776971128603,0.6702992130114381,0.6873127815666513,0.7210012206414753,0.7461778608285005,0.7301842352876413,0.7172333748442804,0.6880321633599253,0.6996367795923208,0.7180191712976363,0.6836338017461537,0.6351543048789179,0.6617915017087252,0.6600882293159346,0.805497387401145,0.7649421369380025,0.9689884648552943,1.359484321018246,1.77760200528255,1.7526017397334805,1.1016241476349145,1.2013333496064091,1.159294691575711,0.9351208537113193,0.902168152611899,0.8651175165807593,0.7194918178212906,1.1923411984644527,0.7657525499121666,0.7248573060849218,0.9204531207128754,1.0594180899456462,0.9065053452371503,0.8460404155621211,0.8262503423406873,0.7568366587658042,0.9134242248788629,0.7942458220629471,0.7421536283439498,0.916228260667421,0.7895340669376574,0.953309735729969,0.8623179919989405,1.0847695998840143,1.3888432875015833,1.0081316531301525,1.06886457869302,0.8338832235063293,1.5870989779231304,0.7363802810273555,0.7280393675197318,0.7019363655832808,0.7770118330317234,0.7897441226020292,0.8135820849783854,1.1084926581039365,0.755441401944559,0.7642613176170961,0.7819664744916729,0.7123473073749998,0.7532970606090581,0.6893029607285384,0.7763494429519642,0.735318440371843,0.8552412516848724,0.7954106717867494,0.7225267815757446,0.7274048726767661,0.7754736800843902,0.7932589417598458,0.6940264053042084,0.7004524071941807,0.9398743430104928,0.7517805369532513,0.9272146334750238,0.7601785382195997,0.8481598490396788,0.8872269435719282,0.9089880379132729,1.271591175549585,0.9024909716571359,0.9158306478274996,1.0956470035733414,0.8169560020890317,0.7177302641225949,0.618960624967056,0.6330387415870303,0.5935224933918143,0.5878074268107788,0.6135918163754409,0.6239491551148418,0.6814738338828354,0.667685737635051,0.6191065217894148,0.587558166769012,0.5768578226493819,0.5404099091005903,0.5652877893732527,0.6010980559502731,0.6705624819676891,0.6382909827961896,0.6986984062112834,0.7742465447995979,0.730248563440048,0.7873752069401734,0.7347864332613252,0.8606195880526114,0.7012063269713197,0.7215202690243111,0.9090655616671918,0.6530040283053533,0.626348562607288,0.5978002659570107,0.837720059400666,0.7571512893598096,0.6424690045580124,0.615207296305187,0.6015402732833797,0.5976802571123655,0.5870415953114274,0.6147203578489084,0.6575527674626463,0.6637910194572966,0.7846093365002719,0.7879897623796184,1.0753482658259328,1.470769281468766,1.0034565761167462,0.8443611158439217,0.740968459923241,0.8022540471560016,0.6943065530823963,0.779723483738458,0.6832740425737347,0.6269173216504862,0.6073685054275868,0.6479251060468831,0.6527297979628056,0.7122472884285906,0.722633629043721,0.9872417757886846,0.9928329374869108,0.9894704174023288,0.7495996922930488,0.6639089108631516,0.6753815138876121,0.7052776562325045,0.6994192951870932,0.7651283632901342,0.7226879976058568,0.9621609301947734,0.7542868135851775,0.8330077318680787,0.748472153500278,0.7695403555241209,0.7839583463518937,0.7726716738994235,0.7711178178906863,0.8488182129853187,0.8318355214089369,1.0583826487895,1.4071134774970349,0.9853854055936596,1.0368464061678422,0.9868823534336545,0.872657766832347,0.8612140018564194,0.7758624621522412,0.8679914840663511,0.9713480521715369,0.9624483270388612,0.980993813429261,0.9618618627767654,1.2380917036679462,1.3183869524617016,1.1004162306878655,1.2309208493748338,1.421219088425658,1.378090915080941,1.352471967298178,1.480763914986885,1.6561465808984424,1.467331905113773,1.553153078864967,1.772404824542035,1.7654503965965238,1.5873703994460415,1.8222677619745415,1.6550842003959456,1.9712537031310897,1.6820119207661015,1.6740628057171247,1.8250230055073502,1.8188352181230527,2.1425281001577567,2.0818264020895896,2.4042702589864344,1.7440749934846655,1.7782253778070516,1.686554928533211,1.6572722184029829,1.7022845968326255,1.5284824696652393,1.4762136982104936,1.4858868418379119,1.5209033069543518,1.328150808229168,1.2575235422747741,1.4253902463764618,1.277562919518099,1.2803482355705835,1.1792837946092005,1.1545522852376708,1.2548874418009712,1.4740306530314102,1.5427235227681508,1.8012227753428005,1.6635941094801847,1.5249570289759846,1.7047957960371827,1.838092753859585,1.6693890253167998,1.6258082196219361,1.8863276099157602,1.9119979497760415,1.7617545339461576,1.9595430977867627,2.141106772970088,2.0862418186052136,2.0074719780509866,2.1238773798134893,1.9743928178642072,1.9285132107327243,1.7624193835157234,1.7876997793306562,1.871422109989638,1.6512891557065565,1.6424343504036127,1.6910300466893706,1.6638578141900564,1.4624738055385238,1.5443613517229307,1.746126882116426,1.4835936805549381,1.3950922038431155,1.5332991152227204,1.5916576835861196,1.44222031383999,1.4316197292605244,1.5306681200337895,1.4958494897435684,1.8601556404316124,1.335439804268945,1.4092622705883773,1.436525448399978,1.248146834216169,1.2668649690574365,1.2895690570884728,1.22595318810499,1.216222566818674,0.9955943780041648,0.8728327007247401,0.7911640809531478,0.9905487160962424,1.427977052548672,1.411639801133706,2.042579445545424,1.5513257862098242,1.5720324564688801,2.0921556896804625,1.8895319589882507,1.8100953696679785,2.501218221668156,3.0968285482732885,3.858481700510102,4.731227875905969,5.40008499555997],[1.4161215303445134,1.3862383534412561,1.4175651484286431,1.3028176838346281,1.2129203834375053,1.2288782838527286,1.1413128683774363,1.1648852014622229,1.0089552999174771,0.959683364828173,0.9036204241036406,0.9741656847410762,0.9929867970066202,0.903552975297338,1.0433388140817674,1.0271599348461964,1.0178309323255532,1.023238210930271,1.0370849461416074,1.0709463845302425,1.0675782136479663,1.0844255404693723,1.1399428559161853,1.1708850276555551,1.139635255792313,1.0980471242451766,1.0158985724330278,1.0160234898701317,1.0516207269756597,1.072858858801533,1.0326802282701162,1.0816938066688175,1.0071352734440036,1.004559283763197,1.0184193132912138,1.0372902213407378,1.098284372128527,1.0704160369823823,1.0605311697310627,1.0818168673325492,1.1038022070866944,1.1781956651811671,1.135744533643708,1.3165698275091573,1.6640874720244037,2.062954649720108,1.9865682357817087,1.4606521333741689,1.596017999643239,1.5006980339182656,1.2965548379914182,1.322387725959584,1.2166569568365688,1.1294548644480753,1.4471709647574353,1.1241080389944162,1.079017346408564,1.2192086214229203,1.3476896983083952,1.1719024907956277,1.1493290841864057,1.1187361916332406,1.0554148456624803,1.1441313604174814,1.0933356645861727,1.0601563022429126,1.155594128354791,1.063404670241358,1.179906711024936,1.1049283808033792,1.2813901799539902,1.5341255872597446,1.2119204628526834,1.2484312269074898,1.0933759087026074,1.8122913913099568,1.0261451425712984,1.0172964371460347,1.0247381810828287,1.1249229569684918,1.1384162004359155,1.163997226634818,1.4276139778415855,1.1863435868158947,1.1573007700209508,1.1595363491105473,1.0885091733399557,1.105487401552957,1.027195108149986,1.0682848080391893,1.009617209190714,1.0895577107414958,1.0369935739776994,0.9908640272530043,1.0127870350207675,1.0257811897946532,1.0551442938647666,0.9998117532145404,1.0345939599253005,1.2453981972804065,1.092794386812214,1.2658701634623004,1.1638834555799318,1.2370672469419959,1.3079819707635225,1.325900973954913,1.6330038919410244,1.4571868042307732,1.5072003152454494,1.570889466889628,1.3374274419972498,1.226625870349582,1.1404073843418816,1.1344136569210057,1.0367622086038024,1.0250846586148958,0.9849155032013137,0.9848709997310932,0.9690945612234861,0.9897609388459696,0.9410094150603747,0.9264869846346785,0.9651594955133419,0.9743490470601129,1.046148514382953,1.10395127627318,1.1965718844399404,1.2000705815745125,1.2516896781504925,1.2802368934854689,1.261235817346301,1.2486715197869058,1.2728789544551358,1.345088357640971,1.248981861690437,1.2760752049871489,1.4160330947044208,1.2013636695198966,1.141347000959411,1.0870924367043244,1.1846682494934335,1.1140310453305564,1.0338355130837935,1.0591642925359286,1.0551138139692864,1.0289334969075175,1.04536150946032,1.0651280983029479,1.137209381962148,1.123506936198982,1.253732385756498,1.2169894492494278,1.380853209668081,1.5639839835675289,1.2546912392505825,1.1746670445203615,1.1278002687664932,1.21578292810202,1.1213610437415762,1.215683903617384,1.1564486283365407,1.0914895273068965,1.0940506309479499,1.1245504907978092,1.118261651077405,1.1318814630808733,1.239427818077459,1.467666491882543,1.489660947304037,1.4916341362969023,1.2881117615190756,1.1995553269603325,1.1780881136030277,1.193926143939155,1.1736537247052476,1.1811871502715696,1.1426110767174689,1.289738218130577,1.1720346859470228,1.2596692708185682,1.207135407013833,1.2500485362158744,1.273589779984812,1.275314816099237,1.2562949845146547,1.2675577953605743,1.2181890068744134,1.3950022732214735,1.7541646849350596,1.298412551240043,1.4179252422649349,1.4351156577773223,1.374621138733755,1.3835840553477197,1.329454609049359,1.4395311075094088,1.648858391664807,1.5734694772528202,1.5725407592312661,1.4748440761704202,1.8542491658280449,1.908149456493049,1.6613246447100949,1.833172316827246,2.030001679652719,1.949239974041441,1.8993932168627194,2.0789068171966174,2.2379001498020448,2.0181904146421563,2.106185813126076,2.31938389309586,2.2740286653221937,2.09383235757922,2.3187167993308155,2.1752968621212703,2.5497181395006807,2.2639779922844907,2.2435278317510825,2.4204098829170126,2.4279225811257756,2.5559623377383276,2.77842361206336,3.1716599842471047,2.419051157217381,2.4470682034997364,2.3370372700017836,2.330330512440921,2.346359501998372,2.173875386071396,2.102816272576755,2.1271772443371377,2.121742713451036,1.9504814420461152,1.8815403635416585,1.9928281249426008,1.886367945908803,1.9248571101069791,1.7982286825080676,1.8233865326883416,1.8912175704252558,2.0979902766622986,2.1326506454710334,2.403993078437125,2.163585234926219,2.0945652223252096,2.3217896356879693,2.3594939969940523,2.156519348983433,2.1849682088627143,2.4180946048757357,2.4034560773769216,2.280494321877075,2.5263078205524727,2.654172855131508,2.575917658711805,2.574712321117066,2.697128302314982,2.5793781014647683,2.5566369748612585,2.3929729889018336,2.4389411963715677,2.521321653126589,2.2743234927910407,2.287948604757994,2.327249207383153,2.286287668349643,2.0948653025833046,2.172680398053466,2.3269170540338053,2.0947402509595703,1.99781902196626,2.186191040705403,2.148925590991354,1.9991941678493659,1.9878781525611395,2.0607040791358973,1.9561282766348365,2.3717657026655923,1.847361363005863,1.9641318105103114,1.9382906336408217,1.7482458414096669,1.7700315611039343,1.767158654395056,1.7122561868370034,1.7090639904424478,1.316541075705568,1.3939835903532265,1.2987993145683976,1.522101223516904,1.9436692763752774,1.9179303572690114,2.398089713910103,2.049265897382826,2.055634595308838,2.343164237085923,2.0520786919798644,2.13477330443057,2.600062464283346,3.121666314188454,3.7070968987921042,4.751657015251195,5.281989736831552],[2.116647476258648,2.1082236186569068,2.075378414125131,2.0702938933178086,1.8988022486014664,1.8781916641202727,1.7771304119308935,1.7013144594449776,1.5361772905629052,1.513594680124201,1.3977790031070396,1.40231313277352,1.5103643827111204,1.4563268360928645,1.5097860718446392,1.5032209285475007,1.5509572828057798,1.539035913907529,1.5741221653437008,1.6084826259129332,1.6168184484959673,1.6365205119631112,1.694772642220404,1.7620745475692827,1.767417465854016,1.7125701050955366,1.6451965195240972,1.6334496918127057,1.5905968330897056,1.575546185027908,1.468294531234082,1.5088793675535355,1.3792201523693646,1.3878438399233306,1.4564575583173702,1.5155459053336977,1.5622961217668812,1.6091477211673217,1.6467989875658446,1.6533066130874718,1.7328367772133024,1.7457141730114571,1.6937501346613717,1.9124808903483532,2.247580952326973,2.603289278511678,2.5269657619685044,2.0679206432955355,2.1921909897264307,2.085854948842413,1.8845817616675018,1.9045218322328519,1.7661684077581985,1.7105642923856677,1.875297670436722,1.6573981217656455,1.6206488892218276,1.7117895146161861,1.7986285456324487,1.6575375777730277,1.6423770775052424,1.586140659794142,1.5063408943165186,1.568386328496,1.6042988904765776,1.566571326000066,1.5611972600597368,1.5118038268518457,1.6489690815921283,1.5379330941207154,1.7115672766917092,1.8091112566639362,1.556894114830851,1.6072090959901955,1.5083292753038235,2.01302681901132,1.468659841467861,1.4064612689877163,1.4676640813991166,1.5835468370032848,1.5894333905894578,1.6623111664799446,1.8452285183082393,1.6667007483870406,1.696757552804852,1.6721112579841986,1.6001336389308667,1.5558132701979082,1.5062628419900759,1.4672075857685996,1.4130606449440115,1.4561977489908366,1.389925891898086,1.348529029425724,1.407255585352566,1.3703332834695343,1.4175115861957825,1.3788744027987445,1.4258960684977562,1.5588486515740232,1.4804195855841014,1.6482550517440122,1.599122538441255,1.6626950970787069,1.7779691345740687,1.8269720075932816,2.1015505644977974,1.9856464532438403,2.048317097563828,2.0685106307424457,1.908656145500081,1.8282022489734717,1.743231478917101,1.7793163415018314,1.6660177895442632,1.6973485584970534,1.6337028700154186,1.6428010248415963,1.5738455905198006,1.5700386146039813,1.5389943890591624,1.5400957197710132,1.650827359103734,1.6672875772651718,1.7270443292369706,1.800349249528066,1.8519603560740556,1.8698112558682074,1.8869618473014305,1.8666467293827511,1.9075468386974248,1.8396768881619046,1.9100026901989364,1.922289647178277,1.8900662960596741,1.9441105976481277,2.071878916108983,1.9364795383041071,1.8885907190097007,1.7979946697489781,1.8587924825234632,1.8039249542895404,1.7183358559664208,1.7494251898732707,1.7116734425233506,1.648388425654402,1.691580723670798,1.6502520938505782,1.7002152525566756,1.6648346927703468,1.7468408823921728,1.6568863723012752,1.7387611720918974,1.7825977534642015,1.5616523227111114,1.5413571495796696,1.5559269091793528,1.6580163107125048,1.604361761812031,1.7401350340887434,1.7372491409826345,1.672575083376126,1.7560333900526068,1.7358363183223458,1.7859429453432267,1.8191099947065368,1.9250403001473977,2.1377880071057636,2.1721098171383226,2.173383094584053,1.9865504093777866,1.8962121537105117,1.8237405074942612,1.7860646334925894,1.7331556391255718,1.6887193949753867,1.6382653965633829,1.7087651689803174,1.6845370889433624,1.7568431861477478,1.7696827117057101,1.8042112036687494,1.8433718597784055,1.8693911987232998,1.863046947665334,1.837208675770399,1.7842189237527128,1.9372367047470607,2.3130907602758053,1.8009112077640974,2.041831873967068,2.091860291586116,2.043191896712688,2.052188713839053,1.9964800164534577,2.0967982910244816,2.3306828935425683,2.2297763132306696,2.2252556921442186,2.08070644844985,2.431418693483221,2.4356232794600365,2.2330133921548736,2.4227131122189407,2.5466481659873037,2.4591911617877846,2.476629574906324,2.6104430580949742,2.6757335031994036,2.5101075438049008,2.601070623991279,2.7449717889683876,2.682078746873694,2.5676487392763834,2.748574556819307,2.672137817971459,2.9706111217640414,2.7997586551895575,2.7483856361890537,2.8638370626397185,2.874308803284156,2.9062335452972063,3.2112993654075934,3.5577610976849674,2.862279977778174,2.879554831609693,2.7955537825072763,2.810581474636308,2.841724402147877,2.7016193149714294,2.6401458946432363,2.695003491452387,2.6947562872634356,2.5607088433251652,2.509349603482911,2.614212285204256,2.5218629532955794,2.5778391273126826,2.4397865616075896,2.417481979420392,2.462082192898674,2.6043594762180113,2.595880443908147,2.7850195190795874,2.5548122801778135,2.564394348259513,2.7266851918126167,2.689966420916534,2.53579913657031,2.599330556044624,2.74103518381127,2.704559728872401,2.657782005784827,2.8416529931901353,2.895124753700748,2.845329618294422,2.892169935980054,2.9738496704893183,2.9349248437643647,2.910311426163531,2.795492140363411,2.8528135756120023,2.9164027596204876,2.7381641164079378,2.770222002878701,2.8019656988636386,2.779648796095483,2.646373274861653,2.6958877202646576,2.8476117711097753,2.6721365367060277,2.601903301482211,2.7737148941765986,2.701170708782311,2.588370467415217,2.5953434374449937,2.6638088227221113,2.5452882542845483,2.9188790702430176,2.4475538424960517,2.554842880943876,2.5083136464284075,2.3450077448026607,2.3777041423603884,2.3798588253325352,2.3155040988384608,2.3207244839734966,1.852930268553648,2.0385194925596926,1.9733027261479563,2.1316428981411337,2.424312565321112,2.3738601371594465,2.735697088384732,2.4893848625593478,2.500402328463212,2.673235990643991,2.3793735507847287,2.5294920248026598,2.877425723015368,3.3550354596896725,3.837200127182797,4.868578437602475,5.305133081272464],[1.9975363409369435,1.9918665722665243,1.973410065236964,1.839643646106723,1.7339705284192,1.7048503165237374,1.587901698949723,1.5813016875908903,1.3585458809621174,1.2912597173448397,1.1974851621601281,1.269150818727755,1.3169666566937446,1.20787165661753,1.3115146208570283,1.3214142734302206,1.3323966749128662,1.3166400631807045,1.3241373296940429,1.3794003586100612,1.3638080104060721,1.3984182813060626,1.4436458692023804,1.4602229672993146,1.5053395751544294,1.4377432963693233,1.3942154903579675,1.3805560729149409,1.384696393720883,1.4087112425256696,1.290824809947107,1.3862216682745803,1.2808550289879126,1.2773871786677664,1.33083474660004,1.3490756289201669,1.4378452272723488,1.4304687416919448,1.4573119092259397,1.50310102213547,1.5142290655546864,1.5231586527678422,1.4915627742776576,1.6903840540679378,2.0229126693137216,2.397641687709722,2.322604026422824,1.8418132806639944,1.971663542628187,1.865946291904788,1.6808647077430483,1.7207550743509263,1.5997690438272683,1.5458325606916496,1.7916909534750773,1.5108024004513931,1.43302780132389,1.568090664603247,1.6591932202470914,1.4991222603252101,1.4586057127931131,1.3935832130675405,1.3156016404418853,1.3893974868755705,1.3888949487894644,1.352925340469687,1.356939760769408,1.31237801364857,1.4093627198054264,1.316806061242461,1.4838448402716555,1.6681280322815824,1.3680963529265449,1.4223640010908325,1.3124854003578192,1.9038684177994463,1.2948000250681677,1.2706433653173141,1.32576463659783,1.4524278826366157,1.471589833307915,1.538347064787443,1.7953864108159256,1.587759710321916,1.5723568870375861,1.543072249304641,1.4383861452791349,1.4424550157340101,1.349218616701569,1.335490830097661,1.2767042329563236,1.318840354329106,1.2604434051571536,1.2391586163919481,1.2662035295221163,1.2482134238230076,1.2776796517861841,1.2708097238372091,1.3315540313490015,1.513948888422987,1.4153018985089927,1.6333443613103011,1.5443264306997084,1.6441595133792757,1.760295775549707,1.7940845955127913,2.1286002293399666,1.9826835923562838,2.032186893971439,2.048177942895302,1.8473428016256481,1.7170207336166214,1.5981706030936729,1.5860980638559705,1.4249975786277418,1.4268151640475526,1.3589774574873528,1.3324789748541968,1.288283755145352,1.3026094026058403,1.2402429589618806,1.2414071621699247,1.3205213401188405,1.3717180273316527,1.4652277679333436,1.5696921449535068,1.6978790742677154,1.7244338863156174,1.7990785211255989,1.8062907243466417,1.8312826155153086,1.8185582556849276,1.8324712463963868,1.8757398786523902,1.771155417816555,1.7764031280240267,1.901694023141484,1.7185833994508473,1.6202833714636795,1.5424455039804374,1.559003001403758,1.5131858146756014,1.4384923094021829,1.4891283456590205,1.473717697263626,1.4298964101700269,1.4617495210757883,1.464611637025827,1.5606061687909663,1.5428943766296548,1.6877737695452764,1.5953404588597218,1.7649918470097001,1.8218991827686732,1.5524186481654019,1.536737863148257,1.4811069991680936,1.6115986844469166,1.5043529622053236,1.6761225654763041,1.6042686964807065,1.507542495003902,1.5459870092061558,1.5597274518121618,1.6038896568390615,1.5903044695448971,1.7382733028769826,1.9212040602958635,1.9594448639345137,1.93801562074078,1.7920801383916662,1.692281349548965,1.6682822555032857,1.6599370261548825,1.6195052315073228,1.615403772594596,1.5397644629237561,1.6744533405515385,1.5887392085821446,1.6887242321898994,1.6691437454891356,1.7298378352779646,1.774776286871035,1.7923886415769015,1.7507023931536543,1.7120038233754549,1.6274987874357063,1.7804908845536709,2.103553014057299,1.6719206190725535,1.8728514078818495,1.9366913682295066,1.9046546412236411,1.9283708538277806,1.9105863696673262,2.038249321632472,2.2123265432912413,2.202961498229096,2.204692995475935,2.092630377248407,2.499344115624961,2.525348276771932,2.2570144007713266,2.4547975884203246,2.6584595484477314,2.5445196478203256,2.4563761258892716,2.6938687899548803,2.853890459340995,2.5802335202728517,2.664476428512499,2.9103439623328398,2.8241245997526145,2.6103038380197208,2.85296382830356,2.7249377002209467,3.1776827541539236,2.8856409924697233,2.864617282899631,3.0701886004267647,3.1026370395033283,3.2540716803005743,3.5242448392035906,3.828631544795394,3.120410682830314,3.1382059387070664,2.998510460577147,3.020465204712118,3.06501823935673,2.860276646725038,2.7884653556420664,2.8480865460989766,2.816467191177869,2.649002927996384,2.598710144954464,2.6768191647399777,2.5423773246889123,2.551185056343515,2.465395845183832,2.4792416597295115,2.5647062715959756,2.760433052918875,2.774313752875345,3.032494027705565,2.7313381073070127,2.71849682852436,2.953366524578578,2.912867855043983,2.7086582752339643,2.7824575176496533,2.986865729816427,2.9364557817823953,2.849611733435398,3.126373481690125,3.2066615985639295,3.115110384264431,3.1700840292208654,3.3190867927437315,3.224295855684065,3.2159235988824046,3.0448280312874254,3.1245428380703277,3.2049313438437212,2.9302401328554137,2.961917985201308,3.0073413668520907,2.9513684455680886,2.752034860484529,2.8563184529579337,2.9816708145432265,2.7362295727846586,2.6602840985223652,2.866287165080387,2.7607209378685225,2.5906245749773635,2.5535071799812132,2.6535139120666744,2.461359573934904,2.924339037393478,2.3649399442484214,2.5178982402725776,2.4273727327830352,2.1955125045841655,2.2364940797725468,2.2356227851358654,2.1735797393813154,2.265227723900858,1.7887766373887204,1.993156995617743,1.8880453370672707,2.1071228685839136,2.423149738963517,2.4397994790139865,2.776774188952011,2.5099311097224315,2.5889531153821785,2.785230440908914,2.437814322001052,2.623657460470098,2.993037598001229,3.4699373934569,3.8617824359643516,4.942501805900523,5.325810491377849],[1.097884670749128,1.076895601786659,1.1386626801867437,1.0164340309371191,0.9232642734776081,0.9468825162057979,0.8584010246077682,0.9168865348859279,0.7824553853456045,0.7512113286767137,0.7477135393503729,0.8296183137267293,0.7982713649814183,0.7320445417492314,0.8922361551278603,0.8627390145107325,0.8265640133791307,0.859994397075507,0.8791146644766655,0.880190913104489,0.8890954338628975,0.8988075808744039,0.9856243451468242,1.0366168273523781,0.9613172825932821,0.9304595587353173,0.8258592668093248,0.8146138888062819,0.8562074920040365,0.8866501541491468,0.891642371101009,0.9447416028387188,0.9009951521263116,0.8802037165395865,0.8738062443493794,0.8728375549645387,0.9156309562359304,0.8681982667222893,0.8428687513147193,0.8763083256399107,0.868509693694895,0.974350446347709,0.9406793113762004,1.159788138653616,1.5113447227688361,1.910467570407559,1.8860137436823678,1.2930977735971751,1.3957714344557133,1.3480916234311888,1.130147594263441,1.1369301220258619,1.0522006431978141,0.9226214569108939,1.2869331111766829,0.935834551985119,0.9056110669610897,1.0812598026510438,1.211495950985179,1.0378811662851122,0.9878052403762522,0.9870892987655847,0.8999549464362839,1.0214501649460725,0.9359720249138689,0.894432104571877,1.0333066135311235,0.9106381033062518,1.0663459423745012,0.9776921249696943,1.188557038488127,1.4561303741748348,1.1018289508103205,1.1623706682177541,0.9570343227494684,1.687222904157953,0.8791322238254721,0.8829706073342716,0.8677740722996105,0.9421977105201432,0.961966995735048,1.000634540655102,1.2531694083274671,0.9478063304544159,0.9588966013272261,0.9733315324087953,0.9004038883960411,0.9461814240099554,0.8661354547441392,0.9383154849781336,0.8911258623811762,0.9903224314807774,0.9305231770927304,0.8669417233822051,0.8855175498485952,0.9054959673682733,0.9309916684493034,0.8766097073418185,0.8942166297241453,1.1276889784521456,0.9525837299621819,1.1421019267136765,0.9989455374594858,1.070691892884913,1.119869870618783,1.1281718808075796,1.48017395221922,1.2016937526637572,1.2289572484675335,1.3532495814472747,1.093551204773128,0.9833844841072233,0.8857282522956053,0.8815739905582382,0.8100970443583391,0.7933149237858087,0.7903043321938186,0.7817331343780777,0.8254394889925418,0.8130415896634617,0.7643601179719018,0.7503701291768582,0.7520112594836944,0.7487179904603251,0.7977748006798152,0.8450705895511942,0.9383663613979859,0.9313972338686455,0.9780224367102797,1.0323919593158404,0.9969771364080888,1.0158149586728897,1.0103323618522537,1.1065683313711399,0.973650576430061,1.0149133056528277,1.1482543665778782,0.9059865069184474,0.8509950167023251,0.8145324012855302,0.9782342107752996,0.9179889739194143,0.8173959926072083,0.8296736968827964,0.81877830314308,0.8085796723785502,0.8170428862724501,0.8448392502140698,0.9039425958813339,0.9058918511738556,1.0307009284918036,1.0236375567154639,1.2553631112377415,1.5036360187983067,1.162981547125618,1.033389472533101,0.959496407328408,1.028962728369071,0.9238469162941192,1.0094941364856456,0.9154948957543525,0.8616186644617464,0.8399855142188855,0.8767703517130248,0.8786567092846262,0.9056782862818546,0.9723211659211815,1.2052077113060833,1.2225886494518279,1.2095037642177793,1.0019698538831747,0.9184523213454056,0.9274314498375643,0.9479256606373694,0.9367291364210375,0.9788666361512732,0.9386257566240551,1.1316771082460053,0.9587418827289119,1.0563056374806843,0.9790853603534204,1.022930444851175,1.0403226334579168,1.0321955387902901,1.0104224690902899,1.0389743959744075,1.009872900297138,1.194485956513286,1.5563930704855033,1.0531063203320314,1.210744948133422,1.2681601695690095,1.1319116590392404,1.1393292359410545,1.070995145556476,1.1705188236846733,1.2957482524666504,1.2764779589918183,1.290309815300879,1.225574379701096,1.5897822150565974,1.668124902420865,1.4103184269713356,1.5636106401830003,1.7891952699515818,1.7181093421361164,1.626391601846929,1.8230342768809957,2.0343337423927546,1.7802822482016252,1.8475649907120923,2.116046970259023,2.087915150561232,1.8453964502542146,2.090167786506982,1.919240426786232,2.3450743538001575,2.0012278221022375,2.0005139784335073,2.21384850588906,2.229548997519428,2.464217503637843,2.5937646125836173,2.921833676945634,2.2041796300998184,2.23791548888481,2.1259978798198595,2.1004139432927786,2.1316942171275954,1.9312389292108694,1.863028986452419,1.8871907191143409,1.884210605584395,1.6934112943418176,1.6270284520587674,1.7349107452377457,1.5896337801285656,1.6085961113748464,1.519130149867455,1.5200857774081564,1.632230371706336,1.8670484552828293,1.921612455697223,2.211583263314309,1.9871514877339194,1.8890108356151563,2.1341165840812573,2.193780966821108,1.9859329117298612,1.9963685957535353,2.266402231087456,2.2587921834914586,2.119763684503471,2.369281780470656,2.526445084724273,2.4465577139644656,2.411649276079783,2.56246951032011,2.4098508713046174,2.3836596108771224,2.197675652018886,2.2421897180874004,2.3295707512526707,2.05364380393475,2.056084490462838,2.099751324268217,2.0480441981608846,1.826061372545263,1.9269264528603691,2.0943951303474178,1.8060583324811466,1.718250314303432,1.9017306619391796,1.8575016887261377,1.683665029670458,1.6631333524044343,1.7660186315516535,1.6575735422432418,2.0965373927989925,1.517546473736824,1.6634205849428274,1.6565472787190976,1.400072500136334,1.4268543500312663,1.4113194348177065,1.354082632716811,1.4317265609706291,1.095731087815696,1.131438339420157,1.058443176099029,1.2607449039161225,1.7102890826597634,1.7159682781569339,2.2478502414241417,1.8495343785308989,1.8798463766638271,2.2851642270895605,2.0259405939425084,2.0331634072477947,2.6254906201917967,3.1839197557306314,3.7731628034686184,4.745622423130823,5.3032884104740114],[1.2848027414700804,1.3107267782946863,1.3802999352687295,1.4430208971044443,1.3177542472866208,1.3720515144879775,1.3799655333372447,1.3609714345362112,1.3450450543998562,1.401171839345102,1.393138224976012,1.3585650012625232,1.398377705997524,1.459379308412386,1.5334775969307466,1.4618805808623323,1.4828686321547362,1.5319627148233252,1.5994367787774801,1.5547313358320862,1.6062996852997573,1.5886111508538443,1.7019491515711438,1.717230103861409,1.710864563555192,1.6774594245853014,1.5378012294676315,1.5218749975310488,1.489055086428423,1.4504884454050047,1.476593507876741,1.4506983804993963,1.371070522698108,1.4009323788202246,1.4031474216378672,1.4463998580544388,1.4285031572121887,1.4559716775737634,1.450330328655046,1.4179992762715696,1.4908075468451027,1.5967845497179192,1.5580862568666962,1.7652436573491412,2.1148394837033213,2.432760032550953,2.405292088518943,1.8835698601104929,1.9310544101642493,1.8344440660642611,1.6243274829978893,1.6788474840186423,1.5492738458311248,1.483385501761213,1.6804607925530648,1.4848060395854976,1.4805682638394724,1.6100758194433376,1.6919534841005763,1.5790077949397918,1.5757082114293806,1.5861615352232286,1.510112186579403,1.6109723779501806,1.6014123640253768,1.5389830847098467,1.5750914056209282,1.5216994030736377,1.720093756211154,1.6176217613620325,1.8246593230068542,1.958296226902908,1.6955130606291355,1.7284443019929274,1.6006785472610487,2.141168532288342,1.501601003541133,1.4476995556995538,1.437759720419541,1.4819206316143874,1.4596241920542181,1.489646960115815,1.6545571032908029,1.3893815268479,1.4317250258870136,1.4629381448224115,1.4458866286533485,1.4486621978206227,1.4494125374344737,1.4581655300044147,1.4476232516852283,1.5701123165341555,1.4743544375742503,1.4080874398661538,1.451187820544705,1.4462034946549889,1.4811123657928613,1.3682361535656804,1.358642233533716,1.4622245719268323,1.361692775743034,1.4630978858756325,1.3941232685158613,1.3844792221239655,1.439898747795539,1.438078778520034,1.7028969544336656,1.4155647086991323,1.43278701033345,1.573303385072757,1.4165294204065422,1.4035041946620952,1.371506123233103,1.4501631744264496,1.4686649412944985,1.5061701544972474,1.52481897784065,1.5179138126984777,1.5750071234084508,1.5621862307841952,1.5535715531094203,1.5183252381057764,1.5398668685979573,1.4956252528543963,1.4794903955534169,1.4376631212337174,1.3758661621225665,1.368296363432724,1.3427442217587673,1.3670047574835342,1.3084792070305378,1.273887368720847,1.3277542340225554,1.405580938407771,1.3517205747606602,1.4553162842327454,1.5582541010294457,1.473453556694821,1.505570738280098,1.4629562137033396,1.6257096550389394,1.6034041526966964,1.5461010208174155,1.5165227441577045,1.4789576605307375,1.4540914194858037,1.4632382258717052,1.4121740224031687,1.3938575113323124,1.3862141226296323,1.4063242966616505,1.3993810367875494,1.5422477927786566,1.7127255984089604,1.476251754178017,1.3879998710183763,1.371270641119613,1.403710857004342,1.3878522406700384,1.4161626291890703,1.3886610837654567,1.4053559205989878,1.4370601778643342,1.4275951868148598,1.4308389903346137,1.458149546434979,1.4464321569149898,1.6444435772994814,1.6379584316337246,1.6643401869522323,1.4752068725458816,1.451965336385588,1.4133737891454574,1.3976460067026157,1.399289050117296,1.3851120506492314,1.4016092633191868,1.5037061551315472,1.4003750429860842,1.4251065801239475,1.4048221271263046,1.3886266086260768,1.3942554141893344,1.3886316365109606,1.404794168518045,1.4570161363848881,1.480838220745621,1.6146622624943536,2.002396448119102,1.4083100524106307,1.5954642006350988,1.647543125957708,1.503056198597573,1.4934061899775402,1.3888942392792494,1.417827093490006,1.541397557934037,1.4654182010781645,1.4538320356488423,1.398808514444508,1.6205603133084525,1.6906656281881642,1.5363880596256665,1.618218164317282,1.7372093572147156,1.7230168418187355,1.7010802832141467,1.7601687654770741,1.9000178621256059,1.7597029879066841,1.7770075079440975,1.9481308140392117,1.9882711383301077,1.7984895240933096,1.929103589907213,1.8257725425802505,2.0445023367863846,1.8655787980303369,1.8506512558722887,1.9644240457737274,1.971697573204591,2.191067234360307,2.220938647786713,2.496738275002663,1.9396364515558846,1.984953081715883,1.9711782183631346,1.9242498710447986,1.9424574071114398,1.8175056252348356,1.7862740235256631,1.8066277140210472,1.8306304126705368,1.701572815024399,1.6759664366057576,1.7720279694529197,1.6460419763443248,1.731905119731061,1.602800049004634,1.582637896469056,1.6380652999777976,1.8023170401540265,1.8556682054907772,2.0325164004454406,1.941668136894058,1.8639416996471436,1.975472399031765,2.070619021168632,1.9428368939592762,1.9048020437116346,2.106708457904047,2.12970075831534,2.015575652596568,2.133263904575658,2.281532748301755,2.2551137810884114,2.1374540438838943,2.2260759365792544,2.105594068859261,2.0794998575506205,1.9822554501461362,1.9889275479434685,2.023911389093165,1.8722270574469833,1.8817216474105103,1.8816436008675927,1.8620181920061911,1.749104957560369,1.788801556710269,1.9489313350934803,1.7491176017405266,1.7211285467293853,1.8116814559420866,1.7979704328704644,1.6800578018514656,1.7030965618124791,1.7899083483207774,1.7397092406020398,2.058120313038929,1.5940216913553629,1.7040075264603125,1.7511712749444466,1.5677552809758553,1.5993108099787896,1.583439681490795,1.5337731184989885,1.5530433538998367,1.2644444684667244,1.3651657799656893,1.4061308652410769,1.455678127336471,1.8426846864486075,1.7882128245188553,2.314142293915674,1.965321237335702,1.934319832909137,2.395097292203749,2.2539461891356285,2.147839835085719,2.8026645047883108,3.3955981645891637,4.09099679246833,4.847511527354003,5.380712042293989],[1.1931097922565386,1.194500678857914,1.3080435690621188,1.1226095119189075,1.1329387003632785,1.1400065841026497,1.0742216061034888,1.222353251272096,1.0205582429505808,0.9350555316152758,0.9168155893855156,1.0504214410324986,1.000750786290459,0.8849857866497148,0.9886121205408507,1.0013831481185247,0.9310856588054512,0.9350628445022602,0.9279149273060916,0.9690042504812579,0.9456984018356348,0.9715725671695626,1.0623448243746831,1.0329305047275348,1.0420434020014646,0.9835729259208926,0.9493690495969095,0.954817337432903,0.9786520522735621,1.0716825029884205,0.9860261839009234,1.1582934917517662,1.105282812204203,1.0790470455579837,1.0933095078141486,1.0377389178039342,1.1435364233443166,1.0691116331126442,1.0404528450628678,1.10528030103902,1.023921444391494,1.0301894657126387,1.0575151443196908,1.1564492695790702,1.507936386128067,1.917222871894401,1.9765357270772346,1.2940245144349376,1.3652107545586876,1.3290196240227778,1.2489694599056091,1.2102722278153013,1.1078598812021703,1.1206635464295243,1.5501649003581506,1.1651637720423607,1.1512753162165972,1.206830687885956,1.2773166880152473,1.2029309646272726,1.1012108241835286,1.0732627349856214,1.0251564374248874,0.9975849695762221,1.011250507495439,0.9781494736813181,1.0256810692213632,0.9534416384572234,1.0392281582761926,0.9809985979453921,1.1087390704056517,1.3628470031070743,1.0378856974917858,1.113640948549023,1.0118370566200938,1.598965939365503,1.004370121729033,1.0313828166272287,1.0522538404438406,1.1018052764723425,1.2085826589595405,1.276338568325195,1.5515567361777787,1.2804752723555872,1.222444245400863,1.2317588128776114,1.1057297052738282,1.1965598709787906,1.027537405295587,1.1394033975906446,1.0031866491507269,1.0424119718961102,1.0206352300376573,1.025558144023326,1.0187481983395261,1.0311679018968307,0.9981998861845256,1.077149112506021,1.1470980287004462,1.4412366270605073,1.2582330673955897,1.4938177321993742,1.334941315151767,1.472220222852349,1.526074504817978,1.5105455280155433,1.8703719184549619,1.5164112872458648,1.507435377357812,1.6512910742224005,1.4588526669077417,1.2915988877577536,1.1418257467067896,1.102475138746199,1.0048053825885412,0.9495192664791029,0.9358543330893698,0.8873855780663283,0.9067370872017564,0.9401388424139211,0.8792836889966263,0.8700328729230381,0.8615701447953666,0.9032101562647374,0.9748737405659919,1.0490812987614162,1.2241936828274482,1.176952314606072,1.2856391994263616,1.3535620998687643,1.30663615412228,1.373286091252306,1.300174181997491,1.4053081020961762,1.219943474409382,1.2158865380743646,1.2954235839446504,1.0774411791204221,1.022225132734248,0.9877548846552963,1.0569680384843008,1.0297732613274497,0.9450217286497743,0.9771770877273226,1.0005162054851524,1.0294395541743913,1.023510104878847,1.0955806913375588,1.1637336557732951,1.1780377734517242,1.3629254983634105,1.3470586066488643,1.6344938471169426,1.8008163110628042,1.4943905814601945,1.4031020768031948,1.2698929904075713,1.3855265120180278,1.2423020864763237,1.331153984267618,1.1736115830755596,1.1200128761279189,1.0443407120849586,1.0997854751015896,1.1800951590127726,1.16496826865832,1.1115438245716278,1.2340064936045063,1.3356772630659026,1.2241460020209634,1.1459519239092626,1.088551707427998,1.1460734348894266,1.1934084967785075,1.2236540449842694,1.334792224644411,1.272432012791841,1.496777635224269,1.2960382794553313,1.3626583676951152,1.26136882140021,1.334565240757686,1.3478729193150922,1.3195839385736934,1.2428037506496676,1.2036285552909756,1.1569445929762674,1.3353331444614378,1.499412433150684,1.223115083878043,1.3367230966117614,1.3267403780154696,1.335808798759896,1.3660830818871974,1.3348528177528334,1.3779410359446118,1.3770822346109595,1.5013028753034903,1.4935351220578301,1.5285371807086818,1.8076213984645395,1.9178338945399476,1.685122663380999,1.7635625549039593,2.011791218300875,1.9661084844956507,1.7612559284521814,1.9953326527485842,2.286345339577524,2.0038173799672023,2.020999566723984,2.341457242913224,2.354137101640796,2.00464921161631,2.2469757810046986,2.0376650346427163,2.4382854590012295,2.0513939526412432,2.128148436446015,2.376056508997136,2.385613266471259,2.6795032675714547,2.7265802586973695,2.9394464761488246,2.3940674583577803,2.4490775435783063,2.368780443258136,2.3126749451569553,2.343228702042751,2.12013827840035,2.05914097723972,2.0784762072799112,2.0258511640845294,1.8702947867589985,1.8383089526395446,1.8785400920644009,1.702476007367665,1.7018956904379792,1.686296555628514,1.755425075934778,1.8526744216333273,2.094315269036672,2.165589868782884,2.459506607690651,2.2594836985704734,2.154053714864258,2.3964554871919677,2.4711735949353923,2.2467937526603707,2.277236338877064,2.5721432920654084,2.5737008248676743,2.4319684687207292,2.647550126788485,2.825103195111836,2.771060941961764,2.667445862334,2.826729424635936,2.6391202915268988,2.6153144808583373,2.436428697778277,2.469176572390144,2.5454686819716565,2.2554451949519225,2.2371763375634357,2.2616127307181744,2.194654819618576,1.9735918314973664,2.0799805801166125,2.206854525426065,1.8881307887677163,1.8261299383087313,1.9695052007767206,1.8774594628215735,1.7218596367219419,1.6733135108647479,1.7967533529496504,1.6672853822669589,2.092521600653773,1.5424599317671948,1.7383562245410633,1.7764150658174005,1.4324607100189866,1.4654292646808418,1.4277666191891014,1.3908369029399075,1.5645884770090832,1.3387732794015854,1.4249381602318312,1.3663603876096284,1.5669764543033498,1.8941864547540945,1.9794604597001975,2.484633834144375,2.0673849160188733,2.1981721412129307,2.671480406861178,2.4888440795541036,2.4040729563036316,3.1148637325732023,3.734218373353317,4.246477754751281,5.111251346311245,5.548420817457295],[0.9762067394751124,0.9738320729204124,1.0416819329363258,0.9257714470294864,0.8786373227168648,0.878114676042135,0.7829569874393187,0.8891732287289392,0.8297651923158926,0.8097621956099151,0.9015396257376229,0.9855339269486192,0.8717854957526116,0.8483633588166076,0.9930871397412768,0.9451567861805109,0.8853651180587723,0.9560770626426811,0.9909994988677725,0.9017714267778549,0.9200691455630816,0.9064343540892141,1.0163943179216255,1.0720292889013618,0.9073469318470136,0.9227327713670839,0.8058246377143531,0.8068732964780874,0.8799500323867607,0.9249886912778241,1.0604456517474483,1.0506144343871202,1.1065138337043958,1.0914923379187802,1.017005577513868,0.9766596745296172,0.9692309025674588,0.8969957324458103,0.8140066993476259,0.8671212414249556,0.8052315048021191,0.9591005971034857,0.956399876035022,1.0795543981699665,1.4538631611111215,1.826525830546531,1.8805519276304168,1.2087016008599507,1.237715244897138,1.2431176179645183,1.099143133501582,0.9960569452994441,1.0211848077791013,0.9057527395570033,1.3522333260687374,0.9897497561137786,0.9011929595389394,1.1962928706484024,1.2987220321760085,0.9991699458127283,0.9951090184986068,1.0236278077695222,1.0064373901983532,1.1075606889471237,1.0280326124564594,0.9080221539109515,1.1264645473946442,1.0670718045414427,1.19544796529548,1.1542320306357103,1.3183495388543098,1.625615059464244,1.311351876843409,1.3969858396997927,1.1135684937602894,1.749056392837176,1.0147558056735528,1.083945624382519,0.9874336016385588,1.0335187194807065,1.062152681321103,1.044445414070458,1.2860802405409602,0.9254611352714497,0.9850390445578328,1.003764367368287,0.9538126959305333,0.9850978501118896,0.9585403760239689,1.103899906433191,1.1114211874647393,1.2255786485408118,1.2379034776608715,1.1471145657224775,1.1131899964294472,1.2146098170069968,1.1612606495667428,1.0715878389929112,1.041170506275044,1.2455987866788554,1.0524067771504764,1.1633062306700412,1.030310655421962,1.118617093848331,1.1355443631502389,1.1586660560892676,1.5351761916230127,1.1430020056096186,1.1461723166174178,1.3043455467398037,1.097134675249709,0.9541042166097745,0.8295597936116244,0.8327805733281789,0.7995608396875478,0.7516347601675013,0.7818362110372112,0.7831937736970497,0.890012889862727,0.8512481366067559,0.8347577796477144,0.7939943941636897,0.7386373209530658,0.7263037236241101,0.7578409336223817,0.7815578788273894,0.9485430369049643,0.8710810550500585,0.9622798939427016,1.0178976622943996,1.010385363551087,1.081909818720087,0.9969923841674019,1.064826499808226,0.909026120321243,0.9283603694674692,1.0442009900225677,0.810695571453163,0.7610819934286175,0.7461933853304887,0.9281560568848627,0.884099850032854,0.781659799501295,0.757625821100412,0.7622619851637111,0.7924847785590975,0.7747129366845094,0.8265552654191516,0.8580921728337803,0.8857420195086505,1.0039954823876123,1.0432602278036807,1.3353472959962354,1.5582733488926226,1.303888274215357,1.1152475450593282,1.0103590287001143,1.0450369858865556,0.9511691545834496,1.0006564384008585,0.8751287084504734,0.826324029549961,0.7712889888362127,0.8150763099302826,0.8455742187664533,0.9183329715937069,0.8619654856952436,1.0707941646187566,1.1526434998289503,1.03929556704735,0.8924202527891926,0.81702816266251,0.8491146527388276,0.8891810983785431,0.9051486724739888,1.0127082391517082,0.9678313520706818,1.2005300208705325,0.9763702226984571,1.0280804513345838,0.9593480768764887,0.9935405506573285,0.9881730286436217,0.967486905338868,0.9374480057588482,0.9705672345323887,0.9771844841525711,1.1611735883261358,1.4214759911994173,1.0490968216277465,1.119037288037002,1.1373397211952128,1.1052398449717076,1.134050470575131,1.0821082047093575,1.1426584241792044,1.1181921359903315,1.2522017729573736,1.278079776227026,1.272803458140136,1.5558226727794042,1.6221589826292004,1.4023556064346334,1.5422217399587674,1.778600112008893,1.7082085232001012,1.610621854856518,1.8257610234697819,2.0508680684387697,1.7973487157440449,1.8728323629086074,2.1778409382865753,2.1426858314179436,1.894898277886913,2.170285372994623,1.9979000646553156,2.3479355744090755,2.0495413358372314,2.0489155716912193,2.2848750587932143,2.303731874567109,2.5846498826477458,2.6174387964773396,2.810117223269623,2.2115424805384283,2.2330280874133535,2.1166117524354155,2.0751950112597966,2.133278912433748,1.9142769077113286,1.8274950141581954,1.8843737134735576,1.8857824479161658,1.680563616588945,1.6188503788677415,1.76994286262475,1.5898358957634238,1.486900757456087,1.483377766783626,1.4395562557488646,1.5747938712358303,1.8225301329892096,1.8433049844260474,2.1257706366259783,1.9308843760844083,1.8240769221717585,2.086128363736948,2.154736691616067,1.9452891044403708,1.9818518269786576,2.260573407372829,2.2558720365474807,2.142998450158735,2.3767073362482583,2.5391346141594013,2.485054850853692,2.4346077330824434,2.601586211781452,2.433897966875172,2.3869387805848072,2.182749071829897,2.235856320832249,2.3619801129913953,2.069859486022664,2.0329063756375874,2.1208813132980002,2.071403443532771,1.8141812618235187,1.9607093289267337,2.149645130401201,1.8126437160652902,1.716847487365972,1.8894544552499966,1.8329198355616465,1.690071808831747,1.638329762339402,1.7749057910505803,1.686123677302225,2.1250785235031615,1.5478739193366646,1.6836211808685946,1.7003933589932698,1.3936684748594244,1.4005299945209595,1.3720650102498146,1.3089814918594864,1.4814120069248742,1.231476626120961,1.1900832984902296,1.0726644076364777,1.2830008427057007,1.6236427939624185,1.6935474210611103,2.206470878112271,1.7973577050380236,1.913941632650743,2.3932574982563177,2.193229682946282,2.1674190751138656,2.9072213976584766,3.446386248215317,4.0431965738995075,4.90386484713656,5.468112499057554],[0.9806459789199198,1.0183872246850523,1.0664186258131965,0.9845278933219835,1.0264204720719767,1.0173816706452419,1.0160555742857384,1.221225298873588,1.1110114215670837,0.9838874752060897,1.0466726451104515,1.1719733032090416,1.0422030790967138,0.9543799892401208,1.048803856384627,1.0594000794174514,0.908412720523625,0.9079203489162189,0.8597909089196245,0.8867926232072779,0.8695660131427044,0.8613075510594216,0.8895921721269905,0.9009719939295409,0.8963687783527928,0.8318354769317046,0.8868684214656404,0.8884981121201647,0.9361709554433738,1.0639713069832792,1.0210001270483666,1.1875458355979869,1.273393808798163,1.2004224750510342,1.1472351661432123,1.0269158526023325,1.1243949502235677,1.0189492235659854,0.9528959004215745,0.9776387910297551,0.8498001345684161,0.7652303462218952,0.7897533800569931,0.7319098058002185,1.0322271937772436,1.466335560497445,1.6396661450323844,0.8403713689366274,0.9005223258478577,0.9468783230484078,0.8890820888849392,0.9707207458483228,0.8459754573361961,0.921621957932842,1.343240640241593,0.9334790447117728,1.0577666031302124,0.8935902403482204,0.9942726357525945,1.2203944203346835,1.0570883340349249,1.1109376964544524,1.1145447611068537,1.1159989646459885,0.9665385832377553,1.0172688676989814,1.0481689028993337,0.982385115388686,1.0457984899646093,1.0202087161565063,1.1044008842662811,1.4013439415084936,1.0846867244446385,1.120953973861645,1.0608265340459582,1.6108818531542533,1.0591541201702706,1.1094725766282418,1.1255651823365411,1.0193060527552893,1.1045962902071034,1.1674541789544084,1.4402032676368406,1.1811714389847718,1.0078871765230368,1.0318623621514353,1.020009452618767,1.22833795461249,1.0297389144673057,1.1891074883828912,1.0806430257960964,1.1323197354959051,1.1134031094118646,1.1933134446797034,1.1291090416285996,1.2023368938798842,1.1365999524067683,1.2429608389485503,1.2756811977218225,1.5149896954611042,1.3365593494421228,1.5597776497812545,1.292654526000785,1.4038646449272985,1.3754826467891714,1.321268998910057,1.5318650483900835,1.274578708450814,1.2674512807107416,1.3235077454589097,1.2538379916574818,1.122029925114889,1.0592938233940057,0.9727454575372484,0.9270919958192975,0.8533490894659941,0.8927200621560468,0.8443729744738341,0.8592157031145726,0.9282905525289586,0.8476006831056525,0.8598146632580813,0.7675422431892253,0.8312151620836056,0.8852968561094631,0.8918891778711132,1.0667887743299675,1.0553206087303975,1.1194470937472083,1.1593985125996102,1.1417674313007462,1.2209317054803352,1.0964051260868701,1.1509162483737434,1.0327209237396822,1.1077163737650393,1.078092989417024,0.8843420271469619,0.8399314688669047,0.8529869553953278,0.9794906708429345,0.9244918233374779,0.8342519381036385,0.8394309868635428,0.8779406063293813,0.9746536069932968,0.9313353527832507,1.0530508687191684,1.0884658176297335,1.1612207203892109,1.3013922737518175,1.3475003216540749,1.5817625575713041,2.197451083270476,1.5698492918170635,1.4931819479302293,1.310116340651569,1.3702102886226188,1.2121007972542166,1.2299634710336034,1.044833320856579,1.0619240124329312,0.8995053855374237,0.9215213635873599,1.021488299325126,1.0273256604006438,0.9007062186695266,1.044193244876663,1.1413657538147743,1.0215294984475756,0.9313840466577143,0.8789357836548601,0.9537555014397828,1.0231909647352764,1.0565463652429852,1.231183054396485,1.1881178251337237,1.3854113446903804,1.148127389771705,1.2376464798136069,1.0211680053035794,1.1333322657729308,1.1252214008741015,1.0943842969531272,0.9993757511217766,0.8997019830017046,0.9319258319371035,1.0342581958309214,1.1352387899375995,1.038019649107241,1.1361711756598734,1.1822517738406628,1.1891784192493073,1.2082498785094302,1.1258200832455694,1.09462260845261,1.0393283753381175,1.2382196737187294,1.207878971182297,1.3103087573515644,1.4360886438604574,1.5261194991637284,1.3933548707752814,1.4409330065962656,1.640487101600461,1.629484600404405,1.514719736396559,1.6842715766806444,1.8974422363154295,1.7125264726518021,1.7721213776588658,2.0403201917346894,2.026556774604151,1.7980149351781602,2.064439583516436,1.8826678893533721,2.1868715828208507,1.875052397328963,1.8855523475728866,2.0763495431820824,2.086296513187871,2.4660442493103014,2.352535004099238,2.4662246226509272,1.9678415918150762,1.9786057694531363,1.8787967272681434,1.8321342108380336,1.9454574814438264,1.7191674653759865,1.635458264968662,1.7057896967219024,1.7372599065083134,1.5254932033970934,1.4588545552539953,1.6666012326313913,1.4602880623711272,1.3602114087435786,1.3479663829417554,1.3836891283581318,1.4344850188446954,1.6319884726123084,1.6725558984200473,1.9117108983397302,1.760611857761169,1.6699683922433248,1.8967311109916773,1.988882592325665,1.760931764913615,1.841357588543938,2.1176839390977418,2.158821931501333,2.037858857930485,2.176534373728606,2.3515605251163776,2.3394495236698885,2.2200666770738358,2.3328059930615557,2.1869675978093035,2.1277657118170863,1.9703964597896237,1.9897595712226777,2.1068482011593885,1.8726979533858,1.8238457066924283,1.904022278772141,1.8712667028843861,1.6402153940543074,1.7510641662675357,1.9873084821190297,1.6477987257977043,1.5616468998591218,1.697256178731662,1.7220299702753532,1.5604665894875884,1.5107494369701187,1.6762255345549246,1.6114212813188518,1.974790037873724,1.4364833521658216,1.5498818492689193,1.6668409853687467,1.3001830177998306,1.292228999521557,1.283702021159443,1.1973178591930203,1.380229318496405,1.3175770266586577,1.2301721641314234,1.1408044648733435,1.3649462866208073,1.6249054287092342,1.7191830297276884,2.4915293377780836,1.8520040977359469,1.9652869782562374,2.62405883806909,2.587011490631096,2.360465419877666,3.1552697308477367,3.6080997028565163,4.5124218522458674,4.979857978496549,5.667834591846324],[0.8849239763511814,0.8885717219813524,0.952329856992849,0.6921110857110824,0.7384280359531318,0.7207441499759146,0.5810666409901141,0.6811954028015323,0.5456536656750889,0.46882923913830965,0.49654858436225446,0.5655424081900788,0.49264182534558393,0.48295751035019835,0.5800662702121592,0.5274119568704492,0.5177574939271882,0.5879902014800179,0.6998699926269447,0.6148662774776137,0.6753640692991174,0.6573098445037556,0.8047887084096655,0.9033595511773046,0.7409991368312704,0.7161127897250914,0.6113936002605233,0.5529011061195032,0.5366690436377176,0.5606355400938972,0.5730865796161986,0.6181483149710608,0.7074798820508315,0.647907887761566,0.5897744860504223,0.5655241805466423,0.596885095519605,0.5828576608880335,0.5446970415143416,0.5872423998800929,0.5401808295510682,0.6246360766318774,0.6139074207203491,0.7680567126309711,1.1919522003841143,1.6091496923921207,1.7516845955876172,0.9356684559601551,0.9690131865850972,1.019157034688488,0.866629498854505,0.7473074452475001,0.693799233602198,0.6088679346802042,1.1145299693677388,0.6283321988763197,0.6963881431686941,0.7432528949012007,0.8254809566237351,0.889470601616038,0.800666206659075,0.7643713777710534,0.7343335994628521,0.8650156422098871,0.7366443610750844,0.6750006249935449,0.9214772880811263,0.7378978763035549,0.9166288684960948,0.819063525679051,1.0281984951543433,1.3874310172650564,0.9626260737635759,1.0546824407851436,0.75531119748819,1.5217754562532322,0.6743898216459459,0.6583242537360178,0.6293086733959067,0.6060128184593725,0.6442730329488562,0.7385683944277395,1.0541683152726145,0.6796632366141503,0.6842005954835063,0.647091953965111,0.6037160677617646,0.6775602343897094,0.5751639095560624,0.6657819356641976,0.6519393160719992,0.791739208535986,0.7333856070244833,0.6788801751583395,0.6221739392596412,0.7278936561654201,0.6933308155943806,0.628368917423058,0.6327242688692817,0.9190925738103543,0.7032535105701934,0.9747524949351398,0.7069912227337737,0.8849608096443105,0.9164723338983966,0.9421436325788473,1.3165584758154416,0.9303755774456575,0.9412456108557624,1.1278001158628983,0.8965004839117734,0.7357669896780457,0.5941932812664047,0.6141458100364965,0.5239266805795733,0.5405390977325404,0.5792227632055761,0.6486333561878336,0.696824135357772,0.623489271373722,0.6035272969762324,0.5644102272101073,0.582128758293856,0.5310318458086636,0.5435910414557658,0.6107029476200779,0.7715782035175087,0.6733089863820173,0.7720410068502063,0.8163014090359775,0.8101474174213481,0.8729641917854557,0.786827844704724,0.8794458504828364,0.697081986721899,0.6916784302296934,0.9333002771745093,0.6644697684702123,0.606274916733315,0.6131426596415736,0.8769839393092219,0.8323231170889973,0.6395126583615107,0.5568663784376553,0.5318464436614887,0.5353163126731377,0.5198542447781958,0.5689873427818131,0.5938933869302246,0.6438360641565769,0.7812676481439867,0.7826394236542353,1.0912776170038425,1.708851386330973,1.0409205895581846,0.8833339139595365,0.6987919797920847,0.797719552424236,0.6381404017756016,0.756650326235156,0.6403713507809475,0.5608478773141011,0.5567922161671698,0.5589031365354276,0.7006904931475708,0.8353219419030747,0.7301193020589751,0.9985603296900004,1.009067027907789,0.9445987888866765,0.7673431646401858,0.6553764255687567,0.6527209150851735,0.6406796960459699,0.622442093251989,0.7450256906500333,0.6649852780947233,0.9015017411156886,0.6856910310603548,0.7851544228552463,0.6873444716898006,0.7468181313030503,0.7713690331330215,0.7527099428058588,0.7406117614244868,0.7867026474316764,0.7968185194320444,1.0143109471675278,1.2153909232901845,1.0328255433702551,1.0822837683407363,0.922228632096573,0.889151496988138,0.8981411364740879,0.8437365553324261,0.9347388679009431,0.9186796125976282,1.0693974426397492,1.102878644300649,1.0937378250752101,1.380006196211548,1.4446097880875812,1.2294825596978471,1.4038052674993748,1.6152686915233594,1.5469624224383896,1.4770668778672764,1.7135459964034958,1.899187238086312,1.67582643674674,1.80189035650645,2.091255223505055,2.0300647367940816,1.8284819825557486,2.157339039406705,1.96632257054521,2.353623789614453,2.0187821035292846,1.989547360329289,2.204607021039177,2.2191133272784227,2.6411290061078474,2.5093203109381053,2.651239263491613,2.0628203014287436,2.07404676998562,1.9016067042492093,1.8834053179409185,2.0213050246536497,1.7630104920815555,1.6529155376386293,1.7425569412494075,1.7694251077127292,1.5178849081644612,1.4296549826909637,1.7008982949978118,1.4933920423364202,1.384366380867723,1.3394099979736578,1.257859579683009,1.3793658592249602,1.6196603546444475,1.6434668155056935,1.9361984985318492,1.7263013627138784,1.6324243680690875,1.875413293117461,1.9545494274391386,1.7448770991162361,1.7999416630201883,2.0791375570563004,2.086260036182302,1.9736440579475167,2.208976545060907,2.374483491317205,2.3275587121039316,2.2904533148744,2.4520503767157438,2.295956329176391,2.2286077691215778,2.008384540151092,2.070062509437623,2.2258895388093896,1.9385450263502852,1.8973741909401352,2.010818275136875,1.9795873002908373,1.7062297324130031,1.8446267177263158,2.1183289266060625,1.74844528227555,1.6425521241484475,1.8181292406765552,1.8637416223907404,1.6818737868510714,1.6254552322177234,1.8064100093009046,1.7371263157532006,2.109986050606827,1.5444758117252604,1.6180558680036223,1.6540561423116127,1.3332266232807835,1.3134530347924958,1.3676871770684624,1.2170866790762356,1.2982277880280582,1.015439126579993,1.0145655258165927,0.9396644390948341,1.1421149734895104,1.4771754138487982,1.5180809055196909,2.1521984360454085,1.6456977296225546,1.7540841201138766,2.280902669610027,2.14222394106548,2.0844648964926145,2.803412407840173,3.315790565675284,4.077237634541663,4.832999259246809,5.496569502692832],[0.8588817441763203,0.8488945829649176,0.8701024509742727,0.5912255511258914,0.6504274265358228,0.6889965681224612,0.5536224530372398,0.6563615905205819,0.5812363081739368,0.5111897673059291,0.5471072721274425,0.5878180107408749,0.5197401711985762,0.526490320896212,0.6260074687202377,0.5750915614171715,0.5378454546315913,0.6031671843111467,0.6917310367143645,0.6155309243649445,0.6504466579844342,0.6301241754189129,0.7491705777419604,0.8440694188579755,0.6906057809803176,0.6653027636192168,0.5923017919003051,0.5474892009193018,0.5641069646773351,0.5905518837046062,0.6126744984419529,0.6509046365181215,0.7290162495416402,0.6734007974321871,0.6213014717139873,0.5976052663683354,0.623319155959942,0.6007655753488909,0.5442959360671823,0.5821631475457383,0.523553263283587,0.5853014426781067,0.5829365946841402,0.7069502701429575,1.1264915182882411,1.5554682850149038,1.693331514408291,0.8707831148841373,0.9240882015934387,0.9659248518016041,0.8480265377720577,0.6973677961885005,0.6442444698965069,0.5708636813409257,1.076425381925051,0.6106487785619906,0.6874366722106322,0.7220142852091569,0.8020678166258836,0.8723021246000336,0.7792254191875655,0.7590676522624001,0.7283282649645519,0.8963042618866811,0.7502249716739866,0.6646713620827764,0.9096975974305934,0.7692229531333068,0.9120569990825793,0.8314637855776299,1.030845447965162,1.3689169135873422,0.9676790412763587,1.051768783832677,0.7699329963911282,1.5401713447736056,0.6995900301572678,0.6998787256903489,0.6579374448905521,0.6274241203647504,0.677674837535012,0.7575069467545835,1.032766105656713,0.6743321294087505,0.6775552921210457,0.6341745603756032,0.6174538580688318,0.7139587642639897,0.5965627251127562,0.7028229849282335,0.6910821403167344,0.7795211630709813,0.750655948537596,0.7057900418137668,0.6583400424119407,0.7517479631876154,0.7289190771390703,0.654207652741013,0.6536493433032473,0.8918207148715902,0.6882015558562082,0.8986384326898362,0.6602593272742001,0.8241121957852984,0.8508787138463249,0.8727439252972918,1.2362591375908278,0.8430882337323395,0.8686792691593154,1.0896742887219157,0.8285544345262504,0.6703909621359209,0.5645706465676834,0.5690077726029422,0.5016955760245476,0.5045356763930671,0.5568670868384775,0.6299718183319096,0.6944971810670704,0.6261674366849406,0.6003325321207129,0.561039000743041,0.5461318665554441,0.49444264403253674,0.5014898041894704,0.554575085203767,0.6924329890886286,0.6072808490680689,0.6891901710480713,0.7322620352975906,0.7225249278631072,0.7885851717114225,0.6838010183606804,0.780467700564264,0.6230945697339493,0.6189996262429769,0.8554077122194379,0.5695469932372034,0.5206171479873485,0.560409661367852,0.8490856917958406,0.7900287904432515,0.6049121971232687,0.5226327391255666,0.5147205060506919,0.5328828741908623,0.5021390504631841,0.5619577474143874,0.5625648063655763,0.6198647355905711,0.7132908357829855,0.7430250989247673,1.0256827136291249,1.5590516487413977,1.0019513335285126,0.8272144701046255,0.6743197618201938,0.7499540273052849,0.6158201846406622,0.7098086603878064,0.6062223420781028,0.5523552757585231,0.5256505624287042,0.5344460189158029,0.6401794731691146,0.7585945216288346,0.6423132539626918,0.9187057881462642,0.9265115862922472,0.8665280447832379,0.6732519855259719,0.5788470421880049,0.5788324890945352,0.6010090750824715,0.6002406811413163,0.7106796778255502,0.6539577509711736,0.879557633142346,0.6620994016960009,0.727894026385343,0.6432800094838854,0.6759385554711836,0.6852750759390274,0.6659191887822834,0.6654795413901167,0.745786083737858,0.7510004312222937,0.9522708086277292,1.1548619789847412,0.987638018713898,1.0233117582574636,0.8346598922410965,0.826618079496033,0.8202211609909227,0.7332206881377845,0.7975207568896774,0.7892515776182599,0.9165193241352678,0.9453771019909367,0.9557830186626994,1.2080216076917107,1.280810311227952,1.0899412093868397,1.2469732663300643,1.4452650981965232,1.3933385560370022,1.350906859852745,1.5658551951577788,1.7401642279042022,1.5631425610189318,1.696080869943604,1.9617200361702751,1.9194512538086954,1.7619905397541136,2.076776411377039,1.8540692388817523,2.216646825811489,1.8549341620682136,1.8384753397192402,2.0289016140339804,2.008714535718911,2.4375200700226642,2.275766972243606,2.4551554716341943,1.8327992160196271,1.8486205360540016,1.6928260362773249,1.6662221278393061,1.803265868302034,1.561595609001865,1.4503494413664249,1.5146553319384848,1.5596394642468794,1.3244141199185315,1.247586616643352,1.4684846633138073,1.2913502770908611,1.215655054127713,1.155284007360278,1.0807849453583926,1.1910317634439453,1.428256536885252,1.4680197737544727,1.741374251739868,1.5820731557034466,1.47427135806176,1.6724923682796151,1.791292161298895,1.6137330812341124,1.6331120769509324,1.9017285245364814,1.9254165086771076,1.8168966203118917,2.028613745744488,2.2048197102473663,2.186898649941099,2.1289356593580107,2.2584193359187403,2.1071846489001587,2.0207338782671993,1.801282897018467,1.8458366270799182,2.009439257236394,1.7529258863501083,1.690015394307393,1.8021389073683332,1.7891890932622343,1.530044751921173,1.6419450105744704,1.9206723152767473,1.577479102714316,1.458465649000226,1.6152735095683695,1.694495570805024,1.5173548866804,1.4694327310099653,1.639860351325906,1.5893369813409666,1.947455076607973,1.4339595829610332,1.4842954100305357,1.5327818987344952,1.2399481109365535,1.213794545670876,1.272043094558756,1.1344199091203753,1.1616622829910288,0.9512231806263446,0.8895829474452521,0.8300024628290741,1.06981792622724,1.3202136333939056,1.3635854521581652,1.9478339344262439,1.4828453133051234,1.6166618766264034,2.1638955667977653,2.0408501670296944,2.026418068084001,2.7574540860936825,3.237495914551057,4.055497587817926,4.812634767716469,5.533432414722251],[1.0833664207081373,1.1209206415433517,1.1105129139727528,0.8533392365359243,0.9014535353210884,0.9226937733762471,0.7900323330766842,0.8106937070916264,0.7878257592533017,0.7731952998634554,0.8150065327364316,0.811385285748397,0.7826616934001572,0.8294883806135676,0.9103794269175499,0.8495144431818259,0.9243144830542248,0.9749406211168744,1.0879009808312343,0.9951136698140445,1.0652644308630836,1.0434742807934358,1.1800010576003332,1.266481806716728,1.0863034533294,1.07707732135842,0.9643406477938447,0.9010760979541335,0.9040243858964011,0.8878498697430548,0.9363770614952133,0.8859369127202732,0.9488266788654406,0.9367082217534309,0.9015238094486371,0.9303989583306982,0.8935227771944431,0.9175210803271032,0.8728355799893609,0.8742570782671678,0.8867597025086117,1.0038072141841285,0.9871779137602009,1.1183540693743024,1.4948790346689287,1.8097112506809379,1.9612703931791884,1.261200210324019,1.2648981033278568,1.2642019347570326,1.1143570765086996,1.0516520675101777,1.0759524221111834,0.9439605037286394,1.2882159745445965,0.985978139981094,0.9877863437678089,1.117592234002036,1.1867800776158826,1.1587134072871341,1.115683847512938,1.0966667818647522,1.0925926511836188,1.2833535028086,1.153088248590116,1.052246635071477,1.2898880162938844,1.1249309426948406,1.2437416076215138,1.1852148951124564,1.3510452865224025,1.6541948296025344,1.341438274474194,1.4051230608948988,1.149931473139606,1.8597337671963197,1.0616218266283528,1.038421033169292,0.9887675991897121,0.9945660440869379,0.9479014411750655,0.9631360425147701,1.1555260394189946,0.8169713273695108,0.9214141024262432,0.8884817475279707,0.9231049057122345,0.9665582000005244,0.9562240643995767,0.9973357525471434,1.0347448119257132,1.197362011914939,1.1170205262934625,0.9911666440679366,0.9450981999130256,1.0173103228792229,0.9807418853200864,0.8970424064323276,0.854964008483654,0.9649309170917902,0.8684724942504455,0.9837902309417784,0.8065945524273296,0.905638078691084,0.9189064833423946,0.9461340028452911,1.2519329151941012,0.957433717749011,1.0025085238743823,1.2263904585243877,0.9546525684405959,0.8482010227959003,0.7852342183217275,0.8061614757613857,0.798991573323674,0.8463949982412582,0.877792948396371,0.9367670292603457,1.046271354866409,0.9985782610654979,0.9740752953372264,0.9077758418862689,0.8927770255507631,0.8453457575099494,0.812250097576287,0.8490433696116496,0.8821809372920085,0.8222292724800253,0.8792213113184183,0.893410822115232,0.882612748569298,0.9162258793051464,0.8606040840784651,0.9211335623213374,0.8398384565976799,0.8314189806103761,1.0745326364579493,0.8742491237075409,0.836053708990456,0.8845085718778701,1.1421294515334885,1.0905526581087255,0.9393687207337292,0.863809153246992,0.8447482934256898,0.8116538283062872,0.8007642954942684,0.787629425875287,0.7750769453006825,0.7918366826167873,0.8340121504923005,0.8703063498413879,1.1018549268628506,1.6653381320998064,1.0878064149828968,0.9136603140638764,0.8326935724833816,0.8622955518414573,0.7981811826078158,0.8339373611519435,0.8336877077501451,0.7805675649387136,0.8235033728944023,0.8248848515627601,0.891767625533853,1.0788553394787497,0.9630458501958454,1.214657978592064,1.1536722065271348,1.1352683773237027,0.9662836824705576,0.8887907670292919,0.8460886367961531,0.8059521105020109,0.8131107261405601,0.8426759707435829,0.8277815998140524,1.0062750787590986,0.822319938555414,0.8859426267647357,0.8564873487337623,0.8273705387375799,0.8372125361497167,0.836755992362621,0.8831653112352644,0.9856370474838577,1.0251741506666892,1.2040319208364574,1.430188867832412,1.278646260296293,1.3032819866432839,1.0470507289228712,1.0404312473254298,0.9897180860713081,0.8981474889613059,0.928119435222003,0.9145730094605746,1.0186536500787666,1.0375342103361476,1.032998653175204,1.2334585271087461,1.284659825860174,1.134896084490941,1.2754241822498413,1.4394786006290539,1.3977046822519732,1.361766887111216,1.561838735812984,1.7182655220333094,1.5651291981448818,1.6916374772303193,1.9311374671218309,1.8907986730487172,1.7623836771355035,2.0558144052856213,1.8414346712140734,2.1891538569452935,1.8397379678372947,1.836444535877116,2.0083079529211503,1.9916334590501426,2.4575128411898093,2.2393920235380254,2.3709797380905457,1.8031030926506662,1.8004922441620421,1.6606665737688024,1.6331574859259566,1.7887336425228502,1.5502086562821977,1.4484602552440258,1.5354645716091466,1.6045825139178067,1.3654182403412982,1.2913658101519385,1.5100020404368706,1.3570049500305115,1.2837417371960893,1.2150519665881994,1.128220313167732,1.2087037153988474,1.4262008318728252,1.4681966563602875,1.717430268240537,1.5800785608909902,1.4670201540852632,1.6517640553551498,1.7968470133993129,1.608335962288571,1.6144696619598649,1.8776123789859518,1.9128614988408192,1.7921707362957409,1.9974391769758524,2.1903898139752203,2.1642150871084964,2.096974148318617,2.2212867174513327,2.070925748202599,1.9836408571802118,1.7678929134135901,1.8032170244809569,1.9706758018779793,1.7270436604899286,1.6595013166673172,1.7818265327078011,1.778538805860979,1.5343215795762148,1.6416380685017922,1.9209343497619378,1.600709621888395,1.495862155068775,1.6292460366075354,1.736988169106677,1.5828969332483798,1.5364815084826184,1.7409931841259874,1.7020389401964249,1.968837247967364,1.5169109443953412,1.4996448839029508,1.5435177831710132,1.3292638116399838,1.2925893668646182,1.4179564071625954,1.2610058987011386,1.2240092484985041,1.0530986928484718,1.006462904593125,0.9903673539149029,1.1374105363863027,1.368989128941051,1.3765769384259983,1.9398738426435091,1.5161290514663675,1.622633989092856,2.1421491912384996,2.0313323255687967,2.056926537940283,2.749642032531658,3.229231447067409,4.096614162597473,4.893344155541397,5.628467361584729],[0.7659667089636539,0.7582446640088246,0.7767514056145423,0.5916464226598219,0.5905065943949844,0.6037880323713654,0.45806868593302913,0.5396694297515148,0.45738160110877957,0.4366928560492353,0.4782639584082597,0.5308783719115641,0.4594338338859281,0.4869641379036589,0.6230650278356428,0.5530541317607525,0.5810191806343864,0.658038935008456,0.7846165168895181,0.6776771892338664,0.7595910404926993,0.7291200417068453,0.8929732629270662,1.0234979860655755,0.7925702678191442,0.7931170311067512,0.6491993249082607,0.5783286452605517,0.5789535696151261,0.5730761230728758,0.6374085430263449,0.6210079867536297,0.7263116622356139,0.6646876414698069,0.6158267012953389,0.6065761200594653,0.5800352293290357,0.5862660181725093,0.5380177414202506,0.5566278021862812,0.5503371264197496,0.7025708521101042,0.6773335017904898,0.8433955197361352,1.2800492056453385,1.660085108601976,1.763999581914757,1.0160534814947344,1.0632120942391992,1.0809096187162008,0.8828733816098979,0.8203371851445599,0.8103309351580567,0.6135050775183217,1.06711702149735,0.6573737677888172,0.6991221480949099,0.7972735356022599,0.9324853863850304,0.8968214040589061,0.834348805048484,0.8443626083234336,0.8157355571952709,1.012823901734051,0.8299461684222635,0.7408258834862074,1.0147773987340662,0.8300799761742877,1.0398539849087112,0.9099445406611911,1.1276026070596101,1.4790653076804066,1.0763263194161876,1.169191330280148,0.8480818389823909,1.6724027460958688,0.7571321156327524,0.7281321338790672,0.6744503144574033,0.6629117135096237,0.6355206403812764,0.6895813860136399,1.0188086859459498,0.61798826031463,0.6280434114736859,0.5899706655943668,0.5910798376903339,0.6701560664511559,0.6227959225546326,0.7009940688497845,0.716364094482777,0.9058943419454262,0.815436354750926,0.7265757288684883,0.6699845748616674,0.7705360404531397,0.727402951290032,0.6199251449010013,0.594402119877134,0.8515167975877318,0.645725775400361,0.8546902286646542,0.609512870684088,0.742892624348618,0.7478316648395043,0.7733558528976626,1.1698914069834263,0.7849536578936213,0.8103596654927638,0.9843005383057101,0.7239254878661492,0.5748041791541671,0.47112384987720585,0.49898842351687617,0.4701016917616415,0.5187881804994658,0.5741504765063853,0.6739044850531217,0.7731915096071571,0.6914210210356508,0.676055004949322,0.6008329646718767,0.6196175032419557,0.5306638310065861,0.48215389383023427,0.5086773543845781,0.5648481843580189,0.5332312112745056,0.597541698088325,0.6594494599220868,0.648332886400719,0.7096566384982705,0.6259640860728399,0.7123175930014812,0.589280427100699,0.6248142206447178,0.8419195312896247,0.5629575463242301,0.5379665535249578,0.5694861543081176,0.9217203704902955,0.8558963116671274,0.6561901875314547,0.5399182521157924,0.5050822582981626,0.4842920156478143,0.46911229133890486,0.48108633766688347,0.49521122134681805,0.5181455364065246,0.6640356458608747,0.6834920192947805,1.0528600928399725,1.7664021411585853,0.9717346667211757,0.7852695304590656,0.6192539443957212,0.6955868619055565,0.5508502607642536,0.6457986011318568,0.5283813627347455,0.48096108415531535,0.48595964991743074,0.48772487394106634,0.5729530390990802,0.752674440499137,0.6571324419100243,0.9795680197492804,0.9520119320259925,0.9136745380901184,0.6802135659120759,0.5847997224065642,0.5321096789655622,0.5389429958891573,0.5264453239703806,0.5979303969237061,0.5569752205790797,0.7968675056087714,0.5634195530182072,0.6739416904647424,0.5747136171025347,0.6051200775140576,0.618882179330651,0.5906240247536749,0.6058970536095077,0.6930641493965148,0.7268766140182692,0.9604791843828145,1.2937327059035055,1.0197720748659767,1.0506093726032493,0.9349495697327949,0.8258526737364618,0.8037686234205493,0.6895435865497813,0.7594589121748694,0.7833534205952503,0.8589839802177256,0.9096978954335976,0.9230923993727023,1.1913065147478337,1.2781121455734012,1.055238299541373,1.2013862119714325,1.4324508153537474,1.3814534221189554,1.3287931286224548,1.516708476109752,1.733290564541253,1.5113851852014428,1.60901250270031,1.8894263431670013,1.8701740372843048,1.667927379005119,1.9450495101672525,1.7446170927114193,2.1465802050301006,1.777402685805346,1.7541473173161095,1.9814007718684823,1.9877788121097586,2.4041917341676844,2.307962165700028,2.5583622824473244,1.8616609918192581,1.8777909264508348,1.7254811849581893,1.6842183867322134,1.7734418957691875,1.539833410415739,1.443978611068998,1.4806666307506762,1.5145852317903141,1.2870926056205385,1.2124630565219,1.4234523403893844,1.2470375965733371,1.160385226150557,1.1185437112594598,1.0450737969923882,1.194330059321697,1.4552739673423636,1.5141279396145944,1.8095824376253382,1.6528514402571637,1.5044708233231137,1.7544921715213633,1.8870256940801657,1.662455389190336,1.6708887719453815,1.9754993643846666,1.998163923713183,1.8393860395600596,2.0824785657908955,2.282863781488262,2.214399309699497,2.164555274548291,2.3250320813425907,2.1347680657277284,2.0788406037842315,1.8545060821306931,1.8957924827550285,2.030125065482922,1.7420818433571743,1.6998842522085926,1.7835493831190268,1.7486459710060782,1.479111548202629,1.601751230686372,1.8434531320296919,1.5082440893485973,1.3919199585036872,1.568539270616585,1.639212252409934,1.4537620680209047,1.422892683240814,1.5739690287078127,1.5304571682316148,1.8881723381003208,1.3484769294169492,1.4241169622117786,1.4636890555897606,1.1816698627070938,1.178537413117706,1.2296976900867822,1.1242667967430697,1.146712155843125,0.9449774280860862,0.8381003599390123,0.7427950751170224,0.9762677200117545,1.3731463095275598,1.4161894949521994,2.123496986996019,1.5471820352857442,1.6372024239515712,2.214033327215913,2.0327917462392326,1.9634602521324809,2.6943578332058737,3.216252387432733,4.029493747425754,4.851707043969681,5.5373767289912665],[0.764868259389779,0.7405701094064832,0.7387262603465835,0.6830609073950421,0.5955367592252693,0.5963857961701898,0.4768168523577839,0.5731784015411887,0.4718284554069496,0.4467139695796382,0.49369478199774375,0.579777546623372,0.5044836595628914,0.47978283021839313,0.6682191298800351,0.610000081659982,0.5677935919938147,0.6341095671504451,0.7068732868566255,0.6431242812948466,0.7048912322966647,0.6803570087129966,0.7875395496332583,0.8970475988080396,0.74420824065044,0.73115763915554,0.5950515303155696,0.5561681864969267,0.5860534666918636,0.6182227670124781,0.65489846130717,0.6832157625902644,0.7300474227920707,0.6976054224744334,0.6459026358019253,0.6232934995993986,0.6335395740577536,0.6063592879928996,0.5525681220607639,0.5695838583510421,0.5489725281941824,0.679765924701475,0.6503565648556461,0.8278424502004725,1.2403027399922097,1.638023575330674,1.6909159980467716,0.9911846097035035,1.0696202064428122,1.0605237048224558,0.8562330489912509,0.8642797982409156,0.8323536501179968,0.6403981230309627,1.1005646503694548,0.6782264720320452,0.6753278166277794,0.8112802964247795,0.9802226677036692,0.8880220834777421,0.7877840977270376,0.8261969596060099,0.7881514015060933,0.932970210268835,0.7789369121324463,0.7125743082026414,0.9417036614031663,0.7776364187482332,0.9700257073870177,0.8448989249370858,1.0779353859518592,1.4090065406639452,0.9970278311368552,1.0812588337268847,0.8122914593656002,1.6216548415539351,0.7322760741032682,0.7112540194006353,0.6884851248047401,0.6960797588323568,0.6789333392490774,0.738826857435213,1.0900545381437516,0.7131950587153904,0.6502975228733415,0.6431982407557459,0.6247978119321237,0.6954768897720378,0.6382443780326345,0.7231122077297287,0.7128810100646494,0.8898412823737513,0.7901465989277827,0.7302804849985916,0.6903017537160231,0.7790395294375388,0.7189909290090188,0.6468399024708131,0.6510187043677097,0.899581800396738,0.6921578837602351,0.8831969214818409,0.6740277486665736,0.7827851946614199,0.7902420528949107,0.8005204170998803,1.1842226463118846,0.8114434736515554,0.8335039934742406,0.9949402565113875,0.739401616583917,0.5983262797747849,0.5025022272316485,0.5092092258666456,0.47808169047192495,0.4671514092591442,0.5261894189223051,0.5762594178501407,0.6677214917909207,0.6444065050693035,0.5812944118920809,0.5324614370728236,0.5227656183371265,0.47009598570501965,0.47595431786636344,0.49114121312776027,0.5528200036749633,0.5645853498475941,0.6069042949255473,0.686852421004104,0.6765502804371124,0.7397377033688407,0.6529376369442602,0.7433349262782146,0.6228517372577019,0.6784775456341549,0.8011720557987992,0.5319771861238433,0.5101385422333231,0.5059939420298374,0.8227659454032218,0.7543219533098733,0.5760567296087743,0.5053109408309906,0.49177359657298453,0.5020150547641044,0.475358988872472,0.5082783703902078,0.5399334705570474,0.5519083412834007,0.7093953712884102,0.7256823090935922,1.0745656362773175,1.7342055028396544,0.9874036616856307,0.8131762699400292,0.6757361120298945,0.7445660790606715,0.6128892746878042,0.6995621762585903,0.550933105121585,0.5268418948416944,0.476985306651464,0.4925981476442761,0.5579295765109693,0.6258611274457052,0.6070024286360505,0.9092598817500069,0.9146925520277621,0.8801932630925428,0.6345495720281584,0.5499193018965984,0.5329336107429956,0.5663234553031058,0.5753710828077014,0.6666547003182056,0.6305061787885757,0.8905909591438298,0.6389098053099014,0.7473684702963642,0.6142840317911511,0.6518397008390412,0.6598758971375537,0.640231036650571,0.6134623889548737,0.6492191682488606,0.6574092632198,0.8838919985268328,1.3002774644330577,0.9251449923279539,0.9909609956770116,0.9914475442109678,0.845409831776024,0.8304822499748672,0.7085958453477971,0.7759800141357525,0.8411223295409406,0.8433927096921812,0.8898236380598792,0.9303775680167202,1.159975931684149,1.260805030221928,1.0461669743156168,1.1400521601788856,1.3738358015008698,1.3417153600354936,1.2876521544082793,1.4230871192376124,1.6523591694905078,1.4428472831764716,1.50153217298637,1.7600938336831924,1.7755825845493074,1.5632267239533881,1.7876970557402578,1.5921738245694337,1.9696486487112534,1.6094483752431794,1.6000245511599867,1.8114828845491828,1.8108329459247254,2.157718344620222,2.1229551713238832,2.4672729696510642,1.7342819650391406,1.7721826601034678,1.6844219592742853,1.6289347138908221,1.637153200779865,1.4516836246173608,1.39653825630567,1.3744230676971139,1.3959093032484013,1.2171824852585733,1.1590150642856494,1.283130437143486,1.1465686978899112,1.1127212188436109,1.0617093087282738,1.0333216545131028,1.1766983755559954,1.4377191167189358,1.5001747286378264,1.7737191723329635,1.6512053786276688,1.4856704912590928,1.7201872317723343,1.8867268402248003,1.6640605013235426,1.6326343817811861,1.9221618477390279,1.9525972982520365,1.7835948453932653,2.004012098079873,2.2041551545705156,2.132865561489771,2.0636936951308753,2.2061640932721147,2.013023970979243,1.9723901712441232,1.7782688947184782,1.7976671098097012,1.8930952568301758,1.6325093625523852,1.6003548704603947,1.641019539967359,1.6037347952332457,1.3738890462778857,1.467396666156041,1.6562835581007678,1.371281688083796,1.2702783671783178,1.4098604579325291,1.5017938966741442,1.331891572347765,1.3135092336104948,1.4086113012481172,1.3886209949796682,1.734615313703382,1.2245935699095574,1.3187481026027117,1.3572572603157012,1.1259446694932356,1.1481168541654112,1.176742568513019,1.1360242165340884,1.1346883959418548,1.0216209478943052,0.8261060789064336,0.6986620348756147,0.9526526327619523,1.3985766002629783,1.421710824174214,2.147953094481465,1.5567489334342495,1.6088437632418557,2.1689420167217635,1.9892604893676165,1.8968651457208314,2.6033401632343596,3.1322736818188863,3.964970506320803,4.820492124846239,5.529089236050812],[0.7805878906077568,0.7540195081843187,0.7741465796279913,0.5553661814779852,0.5586989554009594,0.6426317485165982,0.477978036794062,0.5184854938665298,0.4805659002990591,0.4700178432325748,0.5045756136875517,0.5311076407676169,0.47791920435494206,0.4960515696522125,0.6190694442522776,0.5517865804308216,0.5992809587710873,0.67198335683919,0.7704865592330434,0.7009061535929988,0.7629791788602381,0.7399111480386612,0.8869033714010033,1.004406751330334,0.8040775228857506,0.8001553792052754,0.6664612522643925,0.5944353739265779,0.5996009830468251,0.5696806627664396,0.6413239158500009,0.6013229673060908,0.7183081057582061,0.6624305007855602,0.6031921721492914,0.6230146435809052,0.5861766685756986,0.6007669254617561,0.5660166930130718,0.5615881222621247,0.5753738289107339,0.724762113784411,0.6970206259462616,0.8363832175104426,1.2614275977368288,1.6339376661080764,1.7408306887901281,1.003752335990673,1.0607059662173937,1.044207796595585,0.8921405449448675,0.8416795887209191,0.8259456946825438,0.6293819453677566,1.1086179897491415,0.6776682507230031,0.6963441360588701,0.8068482741450942,0.947022827329894,0.8811477620039816,0.8404065191555204,0.8360971841043325,0.8113260837200693,1.0176634067191068,0.8260038091670877,0.7442997031622964,1.0262256344980603,0.8466777013976056,1.0227535841665853,0.9040821899065863,1.1206564791293285,1.44205641343496,1.0595085195505831,1.1477707224423628,0.8551350697643835,1.6987236055167245,0.759518496303509,0.7411718278626529,0.6841476167741268,0.6933392032557305,0.6555508286743955,0.7114618775171784,0.9823658343142202,0.6224227721876755,0.6360490635950748,0.6050588205924561,0.6105316221447276,0.6505663588322547,0.6453181219793257,0.6988203523764847,0.7237317617609799,0.8999643358555617,0.8146974275868232,0.7206413829144082,0.6697439400671292,0.7561398764030043,0.7220166060995328,0.5912315093003353,0.5580390914022703,0.7760887872281333,0.598870555374363,0.7605634168275262,0.5565412192959031,0.6400777577395744,0.6686892443591735,0.6958246979149197,1.0466676764520146,0.6920084886357408,0.7390270518536133,0.9713469904697895,0.6486766000820712,0.5405367481592115,0.47788169556925386,0.5252912489162652,0.4933187721132803,0.5164730692847158,0.5763760867814758,0.6459095891038017,0.7310874432616585,0.6836201702457928,0.6473183953824072,0.5803948589147813,0.5772287207944318,0.5208756584143664,0.5021040045177833,0.5281420677318288,0.5336421212918321,0.5122719183309669,0.5548582841121525,0.5887797066692273,0.5671527561314276,0.6093496094032168,0.5547395918527416,0.6489859542305525,0.5531548018961001,0.574988870586456,0.8438862023191256,0.5368289680949081,0.5314705796697587,0.5773369990291181,0.9062779678297763,0.8218669368864019,0.647710944250029,0.5620776536747414,0.5253036702380106,0.5131327493070288,0.4862884043679105,0.49895944524896707,0.48373326381611403,0.49925286223267407,0.5825200512854235,0.6239219407768573,0.9323675114200961,1.6751198743797813,0.9068401688067445,0.7041282012931644,0.5678893156221623,0.6147042862474991,0.5118055872983323,0.5917272236658949,0.5512336215909039,0.4864684930799761,0.49881340591387163,0.5093172386547837,0.5641964221155954,0.73164026122571,0.6662217450364548,0.9752634797533944,0.9248676472452728,0.9090878766568841,0.6824736761290614,0.5711017929246452,0.5418582546181165,0.5189231985428282,0.5174233940250816,0.558923785335294,0.536468326963432,0.7518379668359986,0.5443663351383172,0.6154853867664903,0.5489843905505565,0.5510665629065782,0.5591703213312471,0.556406411142997,0.5965127388985972,0.7451023067438283,0.7622280675817628,0.994761134422792,1.2900975674501305,1.0295646375011114,1.0793818483205864,0.9268070830071905,0.7754220203568399,0.73254832350729,0.5998934356350502,0.6689856237220851,0.736842849865436,0.7388873443339247,0.7911380349894468,0.7929224660950478,1.0471331036104379,1.1321930270295746,0.9344875913212999,1.0960383613905005,1.285416684764515,1.246382928463256,1.266109340534505,1.4030253296819946,1.571206322701132,1.424904549866272,1.5346151321563062,1.7559352017383656,1.7534522423986878,1.6227959046756457,1.8746870530006434,1.6653595070005764,2.0210919630238666,1.6716943582137274,1.637755965361595,1.804122200094742,1.7786335248917085,2.1808867968108405,2.0422339115019876,2.344957152594229,1.618094628114659,1.6387508892923952,1.5229400146841066,1.4634208049318391,1.5403159096057342,1.3544011546521244,1.2639048568110298,1.2793541823790477,1.3413737138955073,1.1349481645711164,1.0782855707359098,1.2438751951128661,1.1173469568012617,1.0943856023729785,0.9964519626984104,0.9189110171312523,1.0328929689867654,1.2913076324182813,1.3603451667763424,1.6195852634549055,1.5167923716842031,1.3397314909239137,1.5459024816580564,1.7236116807398332,1.5384002578959266,1.4881211214256427,1.7519231863252314,1.7835593086685173,1.6556231927608571,1.8648879823554971,2.0485351684375432,2.002906808419285,1.9649418793610967,2.088668302732595,1.9180266023976424,1.8407236045268391,1.629588357998096,1.6522109408442573,1.7883186342209074,1.5604028766365006,1.5126037556736618,1.5918903999065581,1.583312033251911,1.3485645804090343,1.4333462446735696,1.6907452404514713,1.4102125184164858,1.2839024521582856,1.4353896734878042,1.5577938918787175,1.3894912697799058,1.357396258091204,1.4983224639444959,1.4755986554743374,1.8246243711344488,1.3205395079437345,1.3458372087133934,1.375238816146954,1.1757803444439887,1.1530499418085731,1.2255770150200305,1.114962058708781,1.0737446759565534,0.8710710286510572,0.7267102339192518,0.6815140684350058,0.8879751143742357,1.2917595310911103,1.2852432508365816,1.9715179122337727,1.4045614110920677,1.4844237643641927,2.014950807220927,1.8214291951608492,1.81822088452728,2.492577003533409,2.9984229785386303,3.8939303264707714,4.7604581514576765,5.574948112521827],[0.7166452608446263,0.7090643997719075,0.7408311123375785,0.6288497268325768,0.5990685875022475,0.6518185060079268,0.5487695168034,0.5774368305618106,0.5951321874575556,0.6251837621602855,0.6749336417767599,0.6771892188461661,0.6426531979306982,0.6838097795601756,0.7892741754635919,0.7204967913904713,0.7831172779739342,0.8468263067469955,0.9570050581012971,0.8830845211635577,0.948991496493759,0.9228206362693373,1.0654876063455272,1.1811410359771777,0.9921550786120559,0.9891350181229646,0.8552518652141028,0.7834472502258101,0.7698955000281915,0.7243742456029615,0.8116012381685932,0.7597374541542765,0.874428537451539,0.8242711530245966,0.7777641031213581,0.7930341089385338,0.7245330407849683,0.7536694307186534,0.7238986054139945,0.7066178452964795,0.7432780665419931,0.8826993536847804,0.8575298261507202,0.9615010546048691,1.3697871988178447,1.7077346283699189,1.8289740125963705,1.1184496906472057,1.160929880022607,1.127588243256328,0.9677617915571877,0.9754973538239229,0.9534256901645891,0.778844387803345,1.174991596479766,0.8170368848950519,0.8537980045791306,0.9008500398194994,1.040978681066052,1.0202866603154142,0.9923940738844179,0.997227228382783,0.9795375929874078,1.1993479443453476,0.998247777376145,0.9215319567598845,1.196976201719385,1.0146981334296774,1.2105051671953062,1.0759239998284114,1.2840123996525092,1.5703666409494017,1.2258014760023497,1.311769446897525,1.0394524835819212,1.845070020404597,0.9427902854807519,0.9204111947858312,0.8579738741822032,0.846437842129928,0.7935286368619525,0.8338073897180646,1.0582803147172175,0.7410574866648518,0.7283245873720631,0.7229154178855226,0.7558501553884572,0.7711701583716045,0.8219186755059996,0.8600937996520314,0.8857463874641827,1.067158596496,0.9713687583929691,0.8893021831639644,0.8364411505708227,0.9093021721964399,0.8884115628513296,0.7601220633716548,0.7148661298832328,0.8923722940376165,0.7398958801031058,0.8538286322079739,0.6781849422051355,0.7205335648065456,0.725662691111398,0.7364979060234408,1.0651745574018865,0.7432183876092769,0.7837698612252081,0.9664873305507442,0.6896857846382728,0.6145652740751673,0.5786567821607784,0.6219341203760382,0.6442222564039546,0.6821856110804211,0.7598235756794036,0.8266051532747434,0.9384280307044124,0.8745608713336078,0.8496239904920914,0.7822550122900701,0.767338898919558,0.6964965562219574,0.6270640010071742,0.6239460350018284,0.5909368908460584,0.5913790739268342,0.6084174280224238,0.6467881202370246,0.6332663874210842,0.6641532330436586,0.6284210580512632,0.6925573553337381,0.6306254793612284,0.6728534276452103,0.8846974312566078,0.6307120129608904,0.658331078577592,0.7167266826642948,1.054536576480626,0.977465674710912,0.823074155353493,0.7294613384775813,0.7028924436763778,0.6816562987421589,0.6531018126722214,0.6420518564878442,0.5979174149051564,0.6136687950908497,0.6651408004654388,0.6979553485379755,1.0050038676273818,1.8064487575911574,0.9640435611371173,0.8040374588993325,0.6886102157274926,0.726490347217543,0.6334332148977103,0.6918060888607797,0.6356451439545409,0.6336137364454304,0.6358866345205065,0.6438414565963448,0.6884077349099359,0.862719384205649,0.7649460782762099,1.060321960603792,0.9877811376959641,0.9844619676783577,0.7578836635494343,0.6779278402595191,0.6426120831200863,0.6199894737605292,0.6332855257390951,0.654465980821695,0.658064684055393,0.8049930874029396,0.6533875055707328,0.7061393159673909,0.6389249663679095,0.6135883765098931,0.6227119602717313,0.6366808037753223,0.6858890415175443,0.834398185990549,0.8453734827154938,1.059011115691421,1.373818256362663,1.1026671848639202,1.1481897800054897,1.0253130710903415,0.8676060266726057,0.8115698352484476,0.6772065266653762,0.7159515128240206,0.7760434603538869,0.7757905360824283,0.8121497913270247,0.8284481405217302,1.058572622880274,1.1460590492435374,0.9485301040024773,1.0845964699666293,1.2852387026496341,1.2461495125142474,1.25914451235848,1.3837761611638384,1.570622470093678,1.3987284202624217,1.4985053301115265,1.7346150616562372,1.7257326038216836,1.571329179275467,1.826330463583371,1.6271091513082647,1.9833688390907447,1.6507024378665915,1.6186825396302458,1.8018966280761484,1.7918926250037253,2.180629250691593,2.087230723413736,2.393079099421413,1.6480109755563255,1.677760960622387,1.5592866384191355,1.5061182501048174,1.556906844117389,1.366801426254008,1.2813657949840012,1.28842686663945,1.3432477835479726,1.1447899963619086,1.094814633878873,1.2507422614909218,1.1320188025746498,1.0873981441146299,1.0008418535180061,0.9324498681204729,1.0451961035747181,1.3049100159526004,1.3752477637708407,1.6559946524958329,1.5411658376357762,1.3554146973349812,1.5815017602782853,1.758088197322702,1.5535472023371504,1.5059449985827655,1.7876404798110959,1.8163394425316832,1.6638776297852296,1.894558336102619,2.0901093470099696,2.0240991643883204,1.9789794620969454,2.122618344545242,1.9393598738012012,1.8771515356080566,1.6651977158623037,1.6890445400325131,1.818569847399202,1.564222915163475,1.5199613052748222,1.5969152974556142,1.578822132988619,1.3407951828874205,1.432364854773981,1.678310397005061,1.3935110941188729,1.2821673568447192,1.4271587832063635,1.5467493605336244,1.3759158412024268,1.3445141775385152,1.485777489389545,1.4636083514708944,1.8097660817024277,1.2910446632893204,1.3358591465634644,1.3681863834545689,1.1540395606153018,1.1510029792670178,1.2175590553003088,1.1245664773572586,1.0893405596640537,0.9385803270286079,0.7594450322345886,0.6964725198288112,0.882700118022852,1.3187004109459939,1.3170712978889925,2.0539854445304013,1.4282935496011249,1.500188939227942,2.055583881294551,1.8533254973019584,1.8067756760118172,2.4907071123804227,3.0058215743675287,3.9155759949183926,4.788469194872938,5.608058755000804],[1.1670470973357623,1.1440627238133647,1.1119317095560508,1.0655734149996159,1.0070701006242913,0.9610517762490461,0.8642102590365589,0.9260322758086753,0.8048706702491844,0.732323602470661,0.7254792874292281,0.8122509065385353,0.7495534455428319,0.6829313315981104,0.8027842973760183,0.7827556384879102,0.7379106846183984,0.7573270062880136,0.7993939350849394,0.753142423692782,0.8054497524022605,0.7988842083910195,0.8927745746445691,1.0540068660055957,0.8247217122646001,0.8301635510764159,0.7328658039615541,0.7224059854128541,0.7492820476294977,0.7993343862507845,0.7915872258313619,0.855839646744097,0.9252289469161383,0.8412186576733824,0.8189663774618942,0.7818704871178221,0.813854532896892,0.7719353916002035,0.7393784973991148,0.7783305881923002,0.7604605875592781,0.8362493642890076,0.7866226510146558,0.962527654025457,1.2928271982997104,1.693567271689696,1.731604433601225,1.108831906341193,1.2133345754549902,1.197412266966164,1.0252262937635164,1.0407103045783797,1.061882285888296,0.8668444537201069,1.2557550758127123,0.8331813526552418,0.7834164955424836,0.9832272340466937,1.1644947054156845,1.0089149629987983,0.8568983697612983,0.864923020293272,0.8521435823341582,0.9966128263676586,0.8327464132337421,0.7768103741022495,1.054031960768163,0.8965541679451521,1.0485692003113667,0.9300092471261073,1.1622970739375615,1.487224695513967,1.0670246370773382,1.1412881060303446,0.882081937260363,1.6413003523084384,0.8174194957575993,0.8417492575211284,0.8242341041489836,0.837813846565317,0.8707397563345957,0.9292383722452189,1.2932979275817211,0.999194426618621,0.8851101027167795,0.8573469354397448,0.7994863267725938,0.8875837403796204,0.7794756541271907,0.8433883946000152,0.8460231666075366,0.9628302376452456,0.9035495427724226,0.8513626562582179,0.8146714802472065,0.8765148948271756,0.834749333110709,0.847624397786692,0.8648415269593586,1.1291178170937715,0.9663386096448402,1.153605262715275,0.970722705363152,1.1152722570700535,1.120042665866218,1.1449457135899253,1.460215959768203,1.2108694929226067,1.2356401272482544,1.3023965982421186,1.1204090918269078,0.9806396236807734,0.8768706231168093,0.8299701660257816,0.7397199694373999,0.694924414350269,0.7159002990404302,0.7132029951900359,0.8003986658098347,0.7679762391152523,0.7078406360289252,0.7031872887929855,0.6921988542915326,0.7070196710041777,0.7623037769904241,0.8058897590378685,0.9241845532190602,0.9424408215326452,1.0105830824405528,1.0714048833693082,1.0480392565065488,1.1310687574219533,1.0362799112040721,1.1199861783755793,0.9938082966743765,1.0097354717342464,1.074937193306678,0.8473713651592719,0.7679121618814634,0.750357411567382,0.901298540222856,0.8508948500380571,0.7356398561099364,0.7273497036455463,0.7181574362677292,0.7133934753523848,0.727928698633369,0.7840549084956894,0.8661702578260163,0.8906989578660046,1.032953968562246,1.0456752505991431,1.4444935106310226,2.0712603293584544,1.2783297259438953,1.1257222045188113,0.9663893382309345,1.077569557373868,0.9054521466960207,1.039694247488869,0.876698588733516,0.8144651153048398,0.774906777501284,0.7824200282797438,0.8490869913881285,0.8600479295204747,0.8984775532765336,1.089743929199377,1.1382745086026427,1.090310831029009,0.9347812492939003,0.850460850223284,0.8573759901911747,0.8716914198120873,0.8875027420146051,0.9831021798762339,0.907057454645877,1.186262993028379,0.926624661095719,1.0986259376839205,0.9333650716767975,1.007758728906652,1.0208013041187272,1.0055303291347093,0.9531278489797754,0.9075974148775375,0.8822542561462603,1.0276789263630146,1.4697294974388646,1.0701476941694688,1.1595840360082112,1.2504872070213222,1.137258840927279,1.1376092363256833,1.0591066757783847,1.1182106470028592,1.1713247914198766,1.1889170345630249,1.2347180262958193,1.306856117273035,1.4868843412198787,1.5904443216212436,1.3960034532837073,1.4396898812583108,1.6728314666969424,1.6466640712875282,1.566521447142404,1.6796371691730017,1.9231727460880097,1.7129449249114508,1.7147876920120158,1.9557599808055912,1.9981716118325548,1.7646752928968792,1.9317702281353877,1.7653944626934268,2.135011977482946,1.7860108512665818,1.7934805937501004,2.0144360360516407,2.0299316313982,2.2898341567313505,2.389193730634976,2.757942886159276,2.0058720186665853,2.045595640557764,1.9881894440773045,1.9211780866687524,1.8810437845778902,1.7259200961713375,1.6885165837954121,1.6357363473843147,1.637005497702467,1.5052996849834712,1.455319807962277,1.5305518501502131,1.4197920902782928,1.3717595198757613,1.3661821618476149,1.3817951903957069,1.5292358008934273,1.7568939404541521,1.8174307064951156,2.037396381133029,1.981908370129401,1.8009042684027372,2.044224321581809,2.229460546918879,1.9872546717192554,1.940812997204916,2.2150818068651006,2.2356163721692104,2.065289087651843,2.2844900695485797,2.4739735400665923,2.381377262044767,2.3059553103148547,2.4489031511420163,2.2493400791928875,2.2405210186736646,2.0745477871995686,2.073154550894852,2.1316836743770877,1.886437930259977,1.8631805062926232,1.8710650083935394,1.818910018811832,1.6298868221255245,1.7033944419102856,1.8307303023756933,1.6046741810389635,1.5153790320298994,1.641657464232498,1.7238062577491635,1.5493569855351368,1.5319520248462644,1.598709214504063,1.5516340339584143,1.921319111355989,1.4383490799814032,1.546981846643861,1.5649186254608587,1.365074721761655,1.3846179284331441,1.3826531488980496,1.3802916206326168,1.4179160497719312,1.3572683632354579,1.1896250028385393,1.0496430080937522,1.298311984467664,1.715209155415402,1.7709422536267594,2.4500862435834128,1.844954560591689,1.9210977977576638,2.444020570258061,2.2481813720115773,2.148612554118385,2.796749824478734,3.283725209810729,4.107182046871697,4.957402809668722,5.6595833500748025],[0.8631591699054058,0.8776831401881742,0.8683591541936979,0.8433743761427162,0.7744412156311775,0.7830708317176795,0.6842457949294655,0.7430243899505583,0.6709715547900185,0.6657567298813135,0.670043372555758,0.706259194662082,0.6693909759574067,0.6770397755048596,0.8196178119444588,0.7677954579572327,0.7418608689750426,0.8035286916746849,0.8657606833508502,0.8213219116456236,0.868868559386825,0.84949324208079,0.959232463321201,1.0817482231252529,0.8929364448421692,0.9040423380701358,0.7817665993412224,0.7568188109076188,0.7533815235822057,0.7410745235277713,0.7697850979218738,0.7852962853236182,0.8381136725088414,0.7759250916683679,0.7520564706487931,0.7607188746389981,0.7627605971924137,0.7587590848419534,0.7243566727260953,0.7286050291955964,0.7259733246429332,0.8496810604113308,0.8207439581496727,0.9657028782218324,1.2739050307768438,1.6201481521509222,1.6768682224571372,1.0929490580735948,1.1277776343577992,1.0911532121910825,1.0064746784931902,0.8947029160595372,0.9203480007372645,0.7994778254355611,1.3570737912553656,0.831870422289751,0.7915561903666348,0.9611755938464357,1.1229586627510146,1.0235499013165597,0.903214024891382,0.8840186241502777,0.8698921098946962,1.023702178640911,0.8768401595534211,0.8254463074333793,1.1032218276917487,0.9238610311462331,1.1054029508550391,0.9687696672839708,1.2161803562442977,1.5315696709339044,1.1032203208863545,1.1586548033713073,0.9203233145871426,1.6650721290327655,0.8440536263185888,0.8219488949179843,0.8029826046573184,0.8289904250370504,0.8094350568294916,0.8206360653644045,1.1375805131016166,0.8795514501578471,0.7954822589050742,0.7693342676861862,0.7777748461469899,0.8501678589715728,0.7703687027266315,0.8357734879952619,0.8162310482010109,0.921487531747764,0.8609989366667667,0.812406232981642,0.7983727622771664,0.860570277819208,0.834107436218207,0.7609706739152586,0.7583897876937946,0.9991958821565237,0.81125485856176,0.9538324208758119,0.7985670631461614,0.9028132959602071,0.9246406476987467,0.9074572639567162,1.2441052334928204,0.9502294064848823,0.9768548101402201,1.0866661006039344,0.8660681236114656,0.7724634053921128,0.7058808877000717,0.704807809584293,0.691910914409909,0.712205730151875,0.7578688690297887,0.7415608219512904,0.8234571229043235,0.7868852622358573,0.7635513622766857,0.735963671116111,0.7017315850287578,0.676381246517185,0.6841819769273465,0.7110907123202104,0.7464705580739714,0.7271669087580045,0.7702907525931135,0.8223704049793388,0.7790495340541658,0.8230927586730943,0.7663352051735436,0.8796130295459053,0.7491241596724832,0.7865055136098984,0.950623424978043,0.7400735802744322,0.7033232601919325,0.7037066893824406,0.9362347618451959,0.8618809692769398,0.7696227419801799,0.7149248822312944,0.6996290087585043,0.6966440774290399,0.6873517570231632,0.7361616177671984,0.7293082145415797,0.7480966767786673,0.8268725676082802,0.8356905809712288,1.1875202085972354,1.879723295894621,1.0747722566205178,0.9245852084926205,0.8063409226389866,0.8858073159911739,0.7644903221298749,0.854997708599519,0.7581078166924319,0.722880758560007,0.6917805178749469,0.7169037555127464,0.7443575007804518,0.8156582716064734,0.7322815475231473,0.9370243168813278,0.9431848748560301,0.9341818933419926,0.7806573175296966,0.7316446163151906,0.7380657471515891,0.7631842274077635,0.7567206997442716,0.8085278545680575,0.7887629279283382,1.0160948672155965,0.7908932010762961,0.8995289557146011,0.7749607972921962,0.8107805944286064,0.8195894857602646,0.8004652572471631,0.7761728237814549,0.8371817764196238,0.8233893058746669,1.0812645191404693,1.3048423262462554,1.0398888639632173,1.0519192492536817,1.007599432190148,0.9026154223637982,0.8911590289214149,0.7942574011228691,0.8472112635795354,0.906386511961032,0.9105632533096392,0.926816592167025,0.9695816097694077,1.1753788840000279,1.281653701403253,1.0862661797176985,1.163919930697574,1.3682978628843492,1.3448388862488116,1.3011447232697821,1.4012475452881088,1.6091029541218278,1.4262145779569877,1.4862731997075143,1.7003716738636931,1.706169458810857,1.5382462128610939,1.7553953975228975,1.5602927431311309,1.8940222378882396,1.5807283179640081,1.5806466501715069,1.753706461152216,1.739282016721227,2.03796850884711,2.0557329400206465,2.4527122227792972,1.687268247487982,1.71158549508496,1.6391254844727892,1.6047832608642818,1.5748781660820657,1.435316788726548,1.376590367644153,1.3372297625385487,1.3735763744838099,1.2161006288555947,1.2045269472841076,1.2314504197529519,1.1538994350273262,1.1516308868066867,1.0794783970553716,1.1098063776535936,1.1950969015422677,1.434786267614467,1.5322606706358857,1.771665127264705,1.7025911385109627,1.5060457329427812,1.6965049451610952,1.9055757893809169,1.6766074804989006,1.611229238554106,1.8780215398940183,1.9092696581277866,1.7321025906399834,1.932693123726938,2.1187620672283742,2.040051989317345,1.9724027221610703,2.0926721453100496,1.9265594315093388,1.89667780325092,1.7346242311040059,1.7348637019492763,1.815125965110029,1.5885683468482819,1.5718255452491323,1.6028178787106055,1.5748504085230708,1.3671203497237248,1.442389397288945,1.6321698811836638,1.3901439305486214,1.2762238998426343,1.4158836308029954,1.517183099359847,1.3423419174564584,1.3302187323468482,1.4593837042061277,1.4178995147909041,1.7460733522273195,1.2771953461779593,1.3072373193669429,1.3217270836762272,1.1987937342638937,1.1945976982456727,1.2508709726882936,1.1688502308990147,1.1405272031008882,1.0575187173019116,0.8865611506253066,0.835276235064149,1.0231009329095033,1.431164459686619,1.4292743467078353,2.1616805856678423,1.5206862294440628,1.5584629687328084,2.1196942681034847,1.9101823627123236,1.7866859613473172,2.443377856003179,3.015620210473696,3.940083380956067,4.844124521981812,5.6361149718972925],[0.7585473304428823,0.7694031924473453,0.7571316597290103,0.7845202133265904,0.6678017448280206,0.6875711500161419,0.6186789926114011,0.6572403598834818,0.6246047262242516,0.6557427690251433,0.6708697244385757,0.6776066064183514,0.6637368992110556,0.6958701132700179,0.836123327670607,0.7842531011662482,0.751675146952505,0.8464387286734255,0.9433523829529473,0.8850349378013808,0.9529207323947815,0.9263419196640906,1.0497956132504402,1.1497332128729747,0.9710604769181445,0.9774835374368696,0.8311410095105473,0.7848876515056967,0.7802361069214749,0.7478445468931326,0.7926022807628224,0.7662878216532816,0.8712886378840883,0.8138855244568851,0.7433108600859054,0.7761283736388642,0.7622480778361226,0.7835272289383085,0.7296158134474974,0.7204692858438604,0.7290519777464368,0.8391098882555704,0.837424198410508,0.9089270465865146,1.199375569500396,1.5137729430143458,1.597119309604651,1.034086084578868,1.049075696510259,1.0355704282607188,0.9789909785447187,0.8999445481468656,0.8624633393151495,0.7781772165739786,1.374744660009001,0.8301724409780186,0.8531378899220958,0.933216018856683,1.094534165553942,1.0613826133696789,0.9877297716421968,0.9508386213245207,0.9440813404796102,1.0981417773178774,0.9575769373852956,0.9001692412279769,1.1538732420740565,1.0065537944593852,1.2059384741525756,1.0499412093236573,1.2971191511114906,1.6063685171062339,1.1595385696042961,1.230149617741504,1.0030584840485597,1.76808213523319,0.9336006995510815,0.884585929440573,0.85114960192508,0.851929279238332,0.8260172275199109,0.8582765457706478,1.138655886346128,0.8771614654529561,0.7625859397658625,0.7582838704481764,0.7981738167367507,0.8278173281937313,0.7980913541419643,0.8576722694182243,0.878957044329534,0.9764373976250191,0.9094010608835926,0.8604076332159515,0.8297481561146774,0.8976791350552026,0.8565225581688921,0.7375252541065214,0.7329226673424064,0.9376771979016396,0.7564073032492816,0.8672135343729576,0.7295594240781142,0.8130287659467254,0.8194088095523178,0.796035960622204,1.1132402266508323,0.7920128219958064,0.8259883386092249,0.9659619064767653,0.7371786810206434,0.681822542643435,0.6435166463035144,0.6865779055107125,0.6980845126542344,0.7403664152340357,0.7964762530131065,0.790854729081843,0.8912512028070587,0.8332319120631508,0.8261976499949797,0.7966217773463496,0.7497792878647911,0.6957805266960552,0.6751771563574442,0.6794262363174669,0.6607141135304211,0.6331150144972795,0.6518133856490004,0.7300167262299544,0.6793216061844587,0.7266370127664499,0.6688508096367773,0.7879310374915536,0.6574126445555316,0.7085181981474288,0.881278030051255,0.6855434372307966,0.6846281136441865,0.6961918775115675,0.9424695891297389,0.871429472827895,0.8167804569208109,0.7402962166363923,0.716545904444187,0.7080710178896317,0.6894498338138478,0.7144741965847741,0.6767284659059389,0.6826944570527592,0.7102333935773483,0.7266529901051964,1.0580435011246212,1.8978413036485535,0.9819389966759707,0.840747793596771,0.7274950687206426,0.7756859027460503,0.6988917017870965,0.78719989586462,0.7070254618276621,0.7120652252942501,0.6827161687631604,0.7001564724887976,0.7584179511215999,0.7784952708744013,0.6832519255194092,0.8769734155556,0.8819108703399092,0.8670443208569754,0.7072468591165433,0.6752825704348926,0.6901411258232267,0.7034736580146181,0.706840154997381,0.7597500370037915,0.7522389682998174,1.0085810058175242,0.7845196733506317,0.8255933454874532,0.6910991753138953,0.7194091913404277,0.7268188264900738,0.7015482961186122,0.6973793748151902,0.7778479408807223,0.8047924177035769,1.0471672929398876,1.2619640001555583,1.035764132235678,1.0344366791390356,1.0089637694782478,0.8710117161064499,0.8258124458073536,0.6909092450115928,0.7168653618725096,0.8052163685869094,0.7733174728423212,0.7880546911394504,0.8478801623522317,1.021124495439073,1.1239167991345833,0.9460617665713937,1.0248944298115417,1.2192383743594781,1.1959461559740372,1.1997263929877122,1.2764854066096938,1.4570867950509139,1.3014529045815006,1.38037711352643,1.585745639964218,1.584323071115685,1.4634029352218896,1.6792964109236883,1.4728138281444423,1.797710479971553,1.4804401178876594,1.4678533296588208,1.6299771254955515,1.6043984834202527,1.9592363737894598,1.8765026575143025,2.2636795459369514,1.5101844631961443,1.5442651220553065,1.4935948374211276,1.4519067614655206,1.4169843000725093,1.2747290511173437,1.2403121096436076,1.172998310322822,1.2206520109112937,1.0692613968641982,1.0883316713920743,1.0622515515758768,1.00766490999591,1.0307251582601233,0.9300574364712699,0.9458922246234914,1.0468889263158694,1.301889143360509,1.3909065332916721,1.6275196390372493,1.5762118837517918,1.3450381360832413,1.5247948942125693,1.7585563563406261,1.5377822174164304,1.4403411503065504,1.6996442813841004,1.7306950292948815,1.5708413071820042,1.7679772636889766,1.9566134082547197,1.874370140560016,1.8223763102260866,1.935999088222693,1.7708541377785274,1.7324588847091065,1.5599481683317145,1.5641937120570841,1.654135940154706,1.4385264253615926,1.4177267567254643,1.4581610988675038,1.442257722770456,1.231044343102055,1.2957299639144528,1.5139385429206083,1.2686747933489178,1.1358582640781498,1.2692433457444725,1.3776724648170213,1.2324080648508307,1.2213971755421686,1.3500188553865755,1.3213051629665589,1.6385731756603208,1.1817540938524491,1.1976596997372995,1.2060334001995199,1.1110909883374083,1.091229051761397,1.1510303171421123,1.0574738233486012,1.0306463318666765,0.9718675978726485,0.7652538786953603,0.7431367164474462,0.9139758352202995,1.2832523848639845,1.282488727197021,2.0787196803778833,1.341887530310772,1.4036542038163387,1.9748053669793626,1.7070787160776457,1.6462844270489907,2.2828939877206,2.828241217060557,3.7480455311397174,4.664024749163089,5.541844887303772],[0.6392171131204566,0.614322486009721,0.6193548971182623,0.6483781520897542,0.5279637243755456,0.5910167866121478,0.5018736861023505,0.559050837500298,0.5181249732599573,0.5430611253762536,0.5577998907133802,0.5942675693094466,0.5507435028976069,0.5763083071888692,0.7409465479956487,0.6958508498269127,0.6675487004494632,0.7719143934808606,0.8860889819770347,0.8144948710463447,0.8903334514089001,0.8555262243274203,0.9940541752399077,1.1145153267170098,0.8990336452143471,0.9075403104537875,0.7548070339118058,0.6847041780060373,0.6929939080073164,0.6696589905169612,0.7380216400241406,0.7084250648095062,0.8753532734821307,0.7848158185844083,0.7094273740120572,0.7177254106217431,0.6811552557832679,0.7071392319022539,0.6543181993135272,0.6435715661479182,0.6530267577928821,0.7839655737056644,0.7698187125537487,0.8543313788544761,1.1811078776598163,1.5103859124775614,1.5875574924144935,0.995443725120116,1.008151238418486,0.9618693612564325,0.9002880492315972,0.8677158091604686,0.8689187923359305,0.7080969583771005,1.2370720911988364,0.7639846126602426,0.7716565229662042,0.8766783807519264,1.0778779780870944,0.9923706277977733,0.9303972889213415,0.9232974420592509,0.9115989738928725,1.11492314489656,0.9207998429389206,0.8355865556942189,1.1110237193947552,0.9615338714288602,1.1395430993608493,0.9830722385221489,1.2495337904945272,1.578705603224556,1.1231152786971605,1.207131775218301,0.9488357845053494,1.7485587462412326,0.8820394854601428,0.8585194026319043,0.8210319434050133,0.8271930142006274,0.7921024064255792,0.7960049963018615,1.0665575818277337,0.8122196468895153,0.6758460177218462,0.6753182797327746,0.724406326679608,0.7870220693211283,0.7476949050582218,0.8016449971537688,0.8397685862892984,0.973702701279779,0.8887309447615288,0.818714488523333,0.7716239724177435,0.8356905189842389,0.8181923046053495,0.6969638060352936,0.6900246242412419,0.9140902483528175,0.7135810169466875,0.8346292921511967,0.6616142588397186,0.7217419500698354,0.7191367477354591,0.6935214489566809,0.9833261488647566,0.6663716384348288,0.6994025542100777,0.8385821942438887,0.6106768577900991,0.5587528182307739,0.5312419583000102,0.5762112944870876,0.5884396723232977,0.6297502560456262,0.6856643933138724,0.7062757067834092,0.8075276814341713,0.741719191636757,0.7290243447898435,0.6828845880416711,0.6549778492456528,0.5633904212494815,0.5419786499457773,0.5536672651920393,0.531968209798606,0.5280448272100823,0.5362605746828082,0.6184503577671424,0.604036539054636,0.6475085280088818,0.5777882300345007,0.6507931122501466,0.5753218950166418,0.6126213924371495,0.7915521601364981,0.5643669416551494,0.5719026601844978,0.6157904333260886,0.905729167335832,0.8057908714824813,0.7398078810928459,0.647972739640233,0.6167058197310368,0.6098929121629646,0.5797001992550713,0.6033958368654334,0.5624337291528342,0.573163197784765,0.6506326507613054,0.6843997860824977,1.0126620271558542,2.0017890666949,0.9703669158260796,0.8025040212425613,0.6595880414992072,0.6931965221732569,0.6044171493448283,0.6748524449990339,0.5759908064750405,0.5952710127261179,0.569444398297315,0.5881167412915493,0.6438505249288506,0.6924465708272961,0.6194830654182306,0.8579351968329955,0.8331649538679974,0.8157845855059456,0.630570922719366,0.5797370551707215,0.57222110106684,0.5856285865485923,0.5897250049792934,0.6606739931752572,0.6711595531034846,0.9018497759806868,0.6826078898287387,0.7317461553157553,0.5794901039850291,0.6031215828558446,0.6045982593611697,0.5804592925038584,0.5724179011290601,0.700866366586309,0.7258709530222246,0.9590880396953891,1.215706647698342,0.9865866820081964,0.9866592445165663,0.9766890707673335,0.8082169511462076,0.7512997365398397,0.6070567148996923,0.6289935787660417,0.7270701511610254,0.6840789371168486,0.6990205889965874,0.7904697225305402,0.9205558647088674,1.0373345318830227,0.8608172916164504,0.9386997098082883,1.1240082513277274,1.1129221214588658,1.132745416634071,1.1967663009757519,1.3682507459246296,1.2430901548474151,1.3372558366203013,1.5284279810677412,1.5411912389706959,1.4408988907934146,1.6408499426119358,1.4185572726596227,1.7422273761340568,1.3906368628734693,1.3849276880797337,1.5303508503481837,1.4891837728204629,1.8570222677962636,1.7223031396302824,2.1414959747454354,1.3932147995093942,1.4277330324365924,1.3728518617405727,1.3122276285359307,1.2614826069833371,1.1400705083528886,1.1028659733516932,1.0408472740411796,1.1032311524792535,0.9429416558529847,1.0009674719563246,0.9707026654901864,0.9076769043732197,0.9421803323262199,0.8222937371559434,0.8630546137384004,0.944799806613713,1.1993625374569197,1.3084502462908967,1.5155451361938594,1.4987817076387382,1.2516608351048977,1.4292433397080695,1.6882934420631308,1.454484079379112,1.3561813782666783,1.6086604637875375,1.648014442805427,1.488332824347744,1.6657802211867905,1.8508609001425265,1.785909433040201,1.736537560759362,1.8343369750468037,1.670137182868736,1.6174176551260104,1.45053616676277,1.44406899681144,1.5294587606125303,1.3346435940020192,1.2972384228827505,1.3418587313318509,1.3391839603412834,1.1263979905844734,1.181168354800046,1.407239188999461,1.1633289631166612,1.0301292206151016,1.1791442932730092,1.2948608460716033,1.140734219527428,1.1385213729858024,1.2790854313743139,1.295135925572895,1.572090639984661,1.1399884605270358,1.131362788398808,1.1419090370909213,1.0815058164198823,1.046854759539827,1.1225013749203814,1.0387066033472503,0.9854537711980597,0.9421501109834569,0.678184210565373,0.6124208372425969,0.8379989177064848,1.2351053248782093,1.2177822263266074,2.0776787278443343,1.2841491117643784,1.3353141518354443,1.9071847836290219,1.6536009981273385,1.6360557453365236,2.217618129572527,2.7460784996791365,3.7555258153993303,4.661710598658245,5.681033414647739],[0.7460787922068305,0.6603415527631231,0.7198314399740818,0.6928724853520114,0.627073922640771,0.6274281505471773,0.540308882977587,0.6769561534747913,0.6116587103584402,0.6143275133349263,0.6766476088760714,0.7589491552360991,0.7015734267959776,0.6742234812048988,0.8930419264341717,0.8429164635946454,0.7785292864377713,0.8917185757057737,0.983037509976608,0.9194616981982573,0.9945339179463986,0.9566874469985044,1.081806575616025,1.1560274532137589,0.9545695431192397,0.966746611587679,0.8027158098100553,0.7620944139679025,0.805186941074432,0.8049417356194001,0.9185358384322883,0.8830716792088384,1.0129370069488675,0.9848533382627939,0.8934728830267956,0.8825229836178585,0.8424892343158924,0.8338587782756717,0.7508421869673798,0.7484207729802672,0.7362053935437927,0.8703832950228655,0.8815760236513202,0.9113887857061763,1.218253099909025,1.5930892373055756,1.627021394993984,1.0091320837705184,1.0974849956125767,1.0185529260771593,0.9532026979159153,0.8818678459530945,0.9490058249168495,0.789246306531613,1.3510769808245513,0.9261990417727048,0.8829482725920165,1.000440995721477,1.2196327134060079,1.0988097031589505,1.0326985508552093,1.0494876097040324,1.0451215033561598,1.2033504964926403,1.0282723698986942,0.9762782715267504,1.2386361110707662,1.1014017304960906,1.2573779727806864,1.132811624005571,1.3792732626973183,1.7155375271107107,1.2860261112616418,1.3449382263022005,1.130615417801896,1.8523297987953768,1.0508167432737763,1.0691098764812121,0.9882751255113612,0.9603027704719888,0.9498008289276116,0.9395094682317103,1.1986522953246581,0.9151329010109943,0.7927147307487066,0.8164506733555082,0.8482890689170017,0.9074844528728393,0.9132845939642183,1.0202330414987102,1.039306268155984,1.172642026046257,1.1153333513338284,1.048496012482426,0.9682373437697298,1.063289351616708,1.0026127659423374,0.8933510281783639,0.8508575762468257,1.0383474302524773,0.8859491208506458,1.0080677504000388,0.8495307577371358,0.8946565082568857,0.871793766642111,0.8537456849510068,1.1362738596826483,0.8428906532974065,0.8683128638467297,1.0004341128566492,0.7669449552585947,0.6676297309985388,0.6133006905852436,0.6070323405498554,0.6297557010299779,0.639196643479166,0.7088156125293147,0.7062967790597775,0.8722266790241512,0.7978731793380583,0.792481310683612,0.710043972421028,0.6425901844164351,0.5643283921530291,0.5254188074241122,0.540792314309504,0.5995826637861832,0.5951081923061693,0.6558380721454052,0.7580597807190943,0.732162888588547,0.8275379033410466,0.7147483113294015,0.8185572084895956,0.6926516432069909,0.6812435206306047,0.7712716460412673,0.5574104282159327,0.5535913031908033,0.6015806377548745,0.8559493135392372,0.7504367634551625,0.6982547629925743,0.6590909622066012,0.6729335361304912,0.6870828022930218,0.6331852750434973,0.6903594234865317,0.6859656891848771,0.7013883016569905,0.7886452028647056,0.7972076629446336,1.1679860788133611,2.0434233531564683,1.077580483448216,0.9788542166100285,0.8153636744253524,0.8743670831549736,0.7680184186297124,0.8260882679538081,0.6987241876898254,0.7055546712681349,0.6106669894382726,0.6926496584423532,0.6593769271573774,0.6753882485019475,0.6376147133799851,0.8153084714042564,0.805134129279958,0.8152144534563136,0.6338546152242088,0.6001821743995178,0.6564296031390818,0.6934993541069019,0.7253807804338311,0.8039649861001512,0.8109366980266831,1.0400244122101832,0.8273793252897619,0.8807129309175864,0.7076840159857287,0.7579015410751097,0.7549367808386367,0.7222994826843291,0.6987308654350441,0.779234139988383,0.7813923229074405,1.0119746827120144,1.2739843871182754,1.0267748875169262,0.9615578054692299,1.0126952848015762,0.8567910277354236,0.8094514497227306,0.7249216523639497,0.7667106104027407,0.8691231584928572,0.8590224273784897,0.9019306191169587,0.9989358754668433,1.1589001762034354,1.250649787182028,1.0564315438245246,1.1299462734950028,1.342991681666385,1.3053153929625287,1.3145566779560276,1.3892227524632637,1.5778700936622478,1.4021637260415736,1.5044151828627097,1.7013012719668306,1.6762741149583837,1.5897620545507398,1.7942398438714542,1.5988134189088568,1.9311152198658832,1.5854563687939665,1.5842537348085752,1.7496198973160555,1.733221222989691,2.0761655228216265,1.9803312525687964,2.3452060571825664,1.6470295874140626,1.695024273039033,1.6454925011219967,1.6108742126796993,1.5140820300789042,1.4006679814381375,1.413331107635752,1.3261321659408494,1.3136564219602316,1.201588785560783,1.2375846559727801,1.179669701259984,1.100489661696527,1.1225987152929457,1.0490198074160013,1.0552506964859798,1.2138261920390798,1.4839509965128757,1.5736300260895233,1.7768207146598873,1.7242686815641215,1.4982512406516686,1.6792172884667316,1.8916117399659713,1.6744362440414153,1.5822467462191963,1.832346339446321,1.8495136525586662,1.6864828817875415,1.901750311584612,2.0771581441905647,1.9811821268749152,1.943611596864755,2.0712545541423615,1.9104458225077192,1.8796359118174923,1.7015667652709918,1.7163672278825952,1.7862979504313488,1.5659742131080645,1.5461046689553064,1.587235308233357,1.5634605119972944,1.3368514622465466,1.4122145870412615,1.574900812918674,1.3301254135942773,1.231211470340377,1.3711903258648326,1.445387767596233,1.312209962795275,1.307703712113732,1.3552530425429148,1.3644697232150058,1.714350696393758,1.2567587141066472,1.3066779641207746,1.2981039720998993,1.1778239133507176,1.1905650208035936,1.2182638538237014,1.1942017332383983,1.2294181919711131,1.1985055338793174,0.8530969623890463,0.6797208889840016,0.9980327271912844,1.3367454701180832,1.3721581125337183,2.2172986834090436,1.4167087086349914,1.4655195150074076,1.9666471593352215,1.6764198544321516,1.6431468940071061,2.206583402777741,2.793613028576693,3.642921107717557,4.600384795697537,5.58503444493353],[0.7426801070542375,0.695816639816046,0.7102369484789595,0.6768695409697265,0.6359737861680284,0.6464031842040912,0.522646079846407,0.6116620023286201,0.5196926693102769,0.5069132331541494,0.5434629859716353,0.6137463461699852,0.5505596395394756,0.5140188962476013,0.7021644913263173,0.6498363538916504,0.602278955504831,0.6848570835003389,0.7600059972148069,0.7012184914949734,0.7543712959518514,0.7306385158948253,0.8244435670120088,0.9517691113500107,0.7486714490237126,0.7578892333748897,0.5994691021140909,0.5776689086196274,0.626442920157779,0.639332602246325,0.7124193011128368,0.7134002418528308,0.8340186003985914,0.7628174100775903,0.6985986353199942,0.6727752711728152,0.6789874407263427,0.6390625756225629,0.5965675252264168,0.6254947754419867,0.5721975581645923,0.7385226441851809,0.6926576523929497,0.8299489917369763,1.14042212592889,1.5174789436445937,1.5153488382020808,0.9363904862842904,1.025060195659364,0.9908118935252994,0.9344803827634371,0.7721768332105887,0.8774086313221411,0.6606705639216768,1.2177412931597111,0.7347532578300211,0.6778468935021992,0.8675342582949556,1.109060222838143,0.9067236882739906,0.8252533770766901,0.85991885541455,0.8280778145797293,0.9885992401951176,0.7826476468509328,0.7219569258727198,1.0096668727228446,0.8361911751782284,0.9997569169596379,0.8820908543497404,1.145728713034218,1.5049174800907803,1.0459252760307345,1.1116459901784015,0.8317845911650654,1.6551750123702356,0.7687832856947979,0.794359265036308,0.7439863865520996,0.767785506590068,0.737766995101252,0.7536761396935233,1.0796296879760157,0.8210303241493836,0.6976427576313611,0.6976635239791504,0.6757095909373424,0.737076819195111,0.6848428842428043,0.7807677013130208,0.7730637713521227,0.9125772951695561,0.8557254612062303,0.7859762034315021,0.7447112286401547,0.8300208887047824,0.8333281395577736,0.7097821445579194,0.6974400815156997,0.9657186349898456,0.7494779855425816,0.8825624619825285,0.7353051146531904,0.812886855198975,0.7819238995203677,0.7962707858491933,1.0906545722171905,0.8142786409020888,0.8383618850766563,0.9881118672135467,0.7226905710108533,0.6044750922913962,0.5608674102279925,0.5778158772688491,0.5244335522371657,0.5218723089013987,0.5563356439762412,0.5798475093580738,0.6602596372956782,0.6217193462123421,0.5715690063969825,0.5510334100985956,0.5310999743666005,0.48514700009592493,0.5035057855531632,0.5245009368023557,0.5723100445514362,0.6024913808844155,0.637925687692737,0.7272810302697551,0.7232734153217788,0.792068214681791,0.6981392248973557,0.7859889854351777,0.6814837319849635,0.6751681750343611,0.8426379929373183,0.5674827935015596,0.5167401440941084,0.5523647224927142,0.8167123728211102,0.6889428542438666,0.5947882378357773,0.5300267508631027,0.5105075683817267,0.5311868455587584,0.5008888675698644,0.5597065903613193,0.5869549824710862,0.6201794856680749,0.7102086662443026,0.749050621581673,1.112577723715535,1.920820155305263,0.9846701882068333,0.8572031504671374,0.6983250234577606,0.7824398719592687,0.658076577106278,0.7529067350397883,0.605908969519857,0.5794399408729479,0.5049783790228597,0.5557165675265483,0.6063656785374231,0.6279275286441243,0.6550506267771155,0.9018284005720038,0.8932762469082424,0.9024907985694006,0.6726837074712977,0.5834727567394647,0.6084334288828884,0.6113895024805035,0.6301835323076953,0.7161181522557698,0.6907319386685721,0.9541132394771826,0.7111215283655491,0.8115342744075398,0.6282468791575577,0.6905084248080889,0.6990249086943839,0.6768404247097236,0.6715909285998635,0.7056341989697774,0.7003679548418232,0.9386124566494948,1.2551319871744626,0.9883753688709922,0.9597293431863689,0.9688456959853808,0.8151339432674967,0.7809932916138848,0.7153283255389593,0.7977237407273751,0.9188545042568982,0.841307528596265,0.8734637171508998,0.9356248062148007,1.0942346659096904,1.18908620607888,0.9968870441802191,1.0702206999107,1.2695665872960284,1.2345109265025669,1.2303159868348224,1.3120305784243544,1.4919441613256614,1.3331126244289664,1.4162135634743154,1.606502276509265,1.5971551522503076,1.4787410919872226,1.6928692139553956,1.500400812592787,1.809763065935191,1.5076201070218684,1.501046252691735,1.6491590436431056,1.6405077981394123,1.961005025209658,1.9130737817122236,2.3076613652011226,1.5695004657170148,1.6252600660677974,1.5726993255323072,1.557676696931864,1.4530122483804897,1.344693750509126,1.3311890795291386,1.2688801332896598,1.2693767551729036,1.1383016482539345,1.189804673634695,1.1625695585893256,1.1097583875729853,1.117462533053419,1.0103550382252768,1.0233642401927276,1.1470043366509703,1.3997989733514147,1.488105081780968,1.7063775762115958,1.6565690785625957,1.4321511801324431,1.609876814703645,1.845750485320199,1.6029394568225037,1.514241778396496,1.7640749968740603,1.7971957684891842,1.6145969024833169,1.8075543612070215,1.9815235829198639,1.8885942386537347,1.8454186375385389,1.9625333807641898,1.7961666814246895,1.7764142322894227,1.6177845445926973,1.6230091679725207,1.6838874143704423,1.4737614424798642,1.4606217569476645,1.4955946275681973,1.477859445437566,1.2824453861812424,1.3524090256116388,1.5083666817214816,1.295564738108152,1.1924468815356586,1.3267415746802746,1.4444607925452722,1.297936440387683,1.3086291773581022,1.392154226867982,1.4025220580842945,1.6656130651877146,1.2569076446919036,1.248640610646283,1.2697559401572998,1.216014795744347,1.2100963482593987,1.2607505783819717,1.2123278688098464,1.1593835317411085,1.1668654884944154,0.8129333047159842,0.6672544905025763,0.9400546175279937,1.3253136383289483,1.3321230922366765,2.1607325662039587,1.4224864881729147,1.4271298691665784,1.97680248102186,1.6998610832265642,1.6328675909622443,2.2414502798046567,2.7998534033434894,3.746349755212893,4.70676021670391,5.618700157985533],[0.6453937551681751,0.6228106043753538,0.6145295934347675,0.6082770168185834,0.5057542407127161,0.5478379665192888,0.4351200797492638,0.5153853753985249,0.43993228226494097,0.45307704431788615,0.48244033547281806,0.5396271698391695,0.48628070794443007,0.48036470920516183,0.6581749728607452,0.6118915171785966,0.570443041694301,0.6612656828790069,0.7510579950939056,0.6863810373578378,0.7431387585116711,0.7213510187198099,0.8382808363206411,0.9440280898292579,0.7512307156337199,0.7542117175379855,0.6022065777079854,0.5645638585718221,0.5942223171553666,0.5835237507472222,0.6464251867429792,0.6479666458542348,0.7712067340892109,0.6971261893111035,0.6277157769083981,0.615695836057975,0.6207516502128454,0.5939395685927782,0.5438938731583315,0.5567142214804818,0.5253479029183917,0.6823936267354173,0.6550162169599983,0.7848834923440077,1.1045998220255613,1.4835852630755484,1.5113104320792867,0.9082338905582074,0.9590923968980061,0.914173875049777,0.8355484024533792,0.7772126462224097,0.7636907776640106,0.619842829304082,1.1933768902103121,0.6670412491947095,0.6586921286002981,0.8132513992669359,1.0048773741728387,0.8921601926376475,0.8188555661064744,0.8060015949299411,0.7734017797150676,0.9664090408257029,0.7921581336792244,0.7126533567117934,0.9724453292666073,0.8157736106151491,0.9988672654602553,0.8791453663647611,1.1317701295422102,1.486370693631522,1.043354821363096,1.111663035541194,0.8270103729940017,1.6572276593849635,0.745898127402559,0.7407035330621512,0.6964208768681992,0.7007450555445265,0.7043020424545297,0.7229630547497851,1.0397237524519416,0.7497735532912636,0.6262702907676388,0.6164759968934016,0.625199404131267,0.7250004971407559,0.6351043075615316,0.7271790038790658,0.7247054365986735,0.8680514446341426,0.7913707196523824,0.7250576378285157,0.6843334919808938,0.76455939081724,0.7567052513212388,0.6475201358608825,0.6350256975379467,0.9103330275958804,0.6840343219132444,0.8331048899804876,0.6541160515585444,0.7457220688496946,0.7263686262969226,0.7023325844143588,1.0287466571002144,0.6805793358519844,0.7068485393887077,0.8730679972998253,0.6157946644425641,0.5329458528651171,0.4699731039880556,0.4888327086733322,0.4630250598880759,0.4953680494808376,0.552777796140352,0.5594683213734701,0.6825116997378196,0.6133114018032836,0.5873473644565501,0.5398079674928897,0.5098111819696535,0.4524580982863608,0.4456105026834611,0.4749419269226671,0.48370313247159236,0.46663218574686743,0.5128254720980792,0.6116556357631385,0.5760587605277239,0.642033071719928,0.5480481659311979,0.6623796081714937,0.5377518861722962,0.5566380413784318,0.7525973113932061,0.473481694417719,0.45972782396305767,0.494188793618946,0.7751954871108686,0.6592140409158285,0.5798242663092801,0.5170331903709829,0.48855072295291185,0.49443475818959354,0.46112454967688654,0.5259294381030674,0.5219501756335011,0.5349019122998124,0.6389172058881605,0.6735748343594324,1.0763135373272106,1.9588747738787695,1.006515077242683,0.8153700413271207,0.6310122956402355,0.7170545112624278,0.5796115133785942,0.6794535302994388,0.5549404867233882,0.5261505708599964,0.46621913371240475,0.5114059117223565,0.5595121776249018,0.6037615531417867,0.5333821669041914,0.7700033438166696,0.7665202691795878,0.7599602126539711,0.5562431521044988,0.4911143521915939,0.5224454102808279,0.5408953887683627,0.5610598973449934,0.6468286407617824,0.6244277995853976,0.8817984662877237,0.6407181145967586,0.7156379017181519,0.5567967874898778,0.5927483634489021,0.6031750716974184,0.5706582303439438,0.5621417802856735,0.6450773013662477,0.6491542361296215,0.920283185879388,1.1756613452002755,0.9363060289048027,0.9240492500737805,0.9006527328381316,0.75479805258462,0.7135150481383608,0.5814300159505574,0.6098661576601696,0.7109828283551545,0.6710982301352468,0.6896323640142725,0.7873323054081792,0.9231421481808875,1.0452027972271891,0.8620778868771571,0.9224248509695137,1.117312539642644,1.1068699603384955,1.109423145208523,1.1708961622850584,1.3556312408051987,1.2177472184483538,1.2952146692326878,1.4825437156821377,1.5045658216409248,1.396792142386675,1.5831377216230806,1.3707619923095584,1.669984000630077,1.3435384057014836,1.3415548025983859,1.484187593936702,1.447188293647231,1.8295215572333214,1.6724499567565019,2.0919753460829664,1.3749909367066404,1.4082658201335168,1.3736645427063296,1.3238836638028404,1.263602671990545,1.144407342570312,1.1390462864538349,1.0583603405683812,1.0994752787302529,0.9615001362446651,1.0084813823048933,0.9667620950273411,0.9007672226874416,0.940760637775661,0.819141987639465,0.8750967396913734,0.971857223021605,1.2265230565809957,1.3308022504242099,1.5112409154977655,1.5244951684566257,1.2813279911772704,1.4408574134522012,1.7034627044970176,1.4816684080058877,1.366064153555553,1.6234386245483932,1.6702802529022682,1.495676824496696,1.6663851931168547,1.8609821983758048,1.7913283724109061,1.7047062846598868,1.7978781131089587,1.6360403617567896,1.594046692092878,1.4443004453628676,1.4292048353737132,1.500494671980997,1.3113124366499276,1.2840823044676175,1.3153378834663434,1.3040113110984541,1.104362878941765,1.1560445538083635,1.3732265086216882,1.1322536218290704,1.0096530343107208,1.1428161796157166,1.2526701657372399,1.1218728873925636,1.1126743934965766,1.2303292456389032,1.2448593504093712,1.5255277686175313,1.09053611768629,1.0933345258837204,1.1080090545779613,1.036926037278639,1.013211731573001,1.0873144502011678,1.0323325517357231,0.9739437291728673,0.9614257142066642,0.6684078120499908,0.5988361037760389,0.8381736862768356,1.2371804841549356,1.2396669056958698,2.0986607827682264,1.2996414678928203,1.3519487547814253,1.9835528953164865,1.758545827407869,1.6713752060270042,2.308812744748022,2.8694372580932423,3.8638550240536222,4.710407277552242,5.661408234743578],[0.7149381471372634,0.674802225482817,0.714947994119016,0.7240649610697897,0.6301016748608387,0.6325713203862321,0.5622531579620753,0.6418892715252725,0.5890334624144393,0.6053495688581151,0.6471326867644165,0.7013154994212796,0.6652156992144177,0.6447827724992208,0.8263810767783708,0.7737391468421614,0.7267665912117975,0.7997817860010638,0.8608449473814538,0.8015647302969593,0.8580395782255086,0.8385392786576521,0.9273295922923265,1.0340415190903374,0.8137485208015929,0.8343821409900054,0.6969222029993688,0.6984471850100462,0.7402647200776502,0.7515924569814315,0.8212037796266236,0.8320568701854009,0.9037304624714818,0.858607592768762,0.8148130357833634,0.7900438251889722,0.7858046775837195,0.7338345829036328,0.6846006322005631,0.702808649325953,0.6842927407001677,0.8490800587015161,0.78968790823598,0.9243229784835999,1.1704325261053938,1.5430736773800071,1.487513422700746,0.9943788646337404,1.103512799493361,1.0319740971906972,0.9790205139650658,0.8800430909931533,0.9719425025596189,0.7945021266711697,1.3217817905008977,0.8498087735950869,0.7632066860636736,0.9507799510281171,1.2317154466412479,1.0322962568876641,0.92898206567567,0.9572126844410042,0.9446782427497503,1.0574591541873004,0.9025846137735056,0.8457905641390108,1.0700952438203974,0.9523425626605978,1.1036333092718131,1.008552285026212,1.2432707183562997,1.6297911032031964,1.1979327507292863,1.2116611955947258,0.9627700741063551,1.752575722035009,0.9002234919372563,0.9006899762178168,0.8591410993223347,0.8911235763274096,0.8486136430863006,0.8337549790686524,1.1681837914192734,0.8901545736953551,0.7394523880157063,0.7511465708177852,0.7587265834102205,0.8694757734699036,0.8062082668145627,0.869323278662365,0.8810407289489751,1.0330046703475861,0.959969882149985,0.8943017894267898,0.8535711689570502,0.9309309204526859,0.9455281539598418,0.8213140201194434,0.792538236921025,1.0237341818250567,0.8278495005096016,0.9258977363226558,0.7938095876568698,0.8336914032577708,0.8141019176970895,0.8077832633143062,1.0925838155404035,0.8066809219558925,0.8212390975387098,0.9505150367223343,0.7310539118807562,0.6609700599894542,0.5939555233409064,0.6162117104899635,0.6081491609338652,0.6084441273554283,0.6736186257877911,0.621658878769062,0.7743103016413291,0.742023490646075,0.6824521331073544,0.6611519846356508,0.6052512672850977,0.5836929664635276,0.5627300571160737,0.5680191647568261,0.5988808342185422,0.6230024495163136,0.6533518337720253,0.7501364933677758,0.724446221442463,0.7936922512020792,0.7034822191475135,0.7938514369409906,0.7061573693893306,0.6978292740931348,0.853757168135502,0.5915629282223795,0.5523011232123965,0.5863735639729591,0.7737502532868451,0.7047089147078535,0.7030103063321657,0.6346189762246944,0.6273075848930716,0.6337796868861421,0.6147803597086443,0.6608802152561556,0.6613872524034702,0.6717084534858313,0.7463286217920345,0.7940401934923568,1.192636010111925,2.0755796636046884,1.0802616899037862,0.9290252742017121,0.7630507440348033,0.833115790465282,0.7208642655198384,0.8235749395819241,0.6759638958046407,0.6700488435779265,0.6235110009127073,0.6586985191060153,0.7139271850861614,0.7241541602254778,0.6785924712686977,0.8768277222994176,0.846327561266837,0.8816047877366828,0.6906541758068601,0.6241348777081934,0.6719926043083024,0.6822481053802808,0.6968858938628106,0.7664643631210675,0.7409988715392107,0.9870106990430335,0.7460834608739507,0.8505056928434505,0.7022816471346078,0.7348172486428547,0.7358016977398681,0.7162489267508491,0.7101106773153969,0.7768687588008522,0.7650740916809985,0.9533796331432158,1.28908499821743,0.9925938422957629,0.937097024810228,0.9700449813654364,0.8706710824777949,0.801516806105603,0.6971440829495934,0.7299125398034461,0.852938469477726,0.7801711883639915,0.7919685374552297,0.8830625966469168,1.004056791311181,1.1223317401223318,0.9412788809925895,0.968118251096736,1.1583298393730452,1.1423360796594417,1.149819986102816,1.1702942526358282,1.3499404441952603,1.217688769642563,1.2795876251696248,1.4278073025700704,1.451642202792936,1.3946494432452168,1.5205770200688178,1.339023345666841,1.6080341441298656,1.2964681287488102,1.3002394981520657,1.4185692105757142,1.3864539613813796,1.8314344105580564,1.585213152111283,2.0469519110528505,1.3826964285503396,1.4391482317510937,1.4519344947011998,1.4101871827536838,1.2593338294601124,1.1822218953524999,1.2285587705149303,1.111616851522428,1.0813700064213325,1.011741910712007,1.146412870663391,0.9777988025013326,0.9424191294384648,0.999559560370698,0.8887060421015442,0.9676249195057243,1.0971126377186147,1.3288445003341265,1.4507640115402092,1.5779976829193287,1.6379105380722856,1.375466264184611,1.4964841358524636,1.7911373169706089,1.5491930072842417,1.3993137449317192,1.6373212814589273,1.6795342448132105,1.4894619517037266,1.6514545803048202,1.8359415897354459,1.7509652509311389,1.6564316688066802,1.735307023681398,1.5903530522824234,1.5726856091031403,1.460234563556748,1.4452230468754712,1.4561097608886646,1.302516578986728,1.3091332822462787,1.2982951160270324,1.2799868651496626,1.1216859425981023,1.1636323279782361,1.3058404488811532,1.1202731744192787,1.0294311104183158,1.1353177485270738,1.2361398892554196,1.1184701901587661,1.1139330071003377,1.2048622701637763,1.2804251815634338,1.4714829744778917,1.1090868405200642,1.0837723558489833,1.079658810968801,1.1072142359823312,1.0864513789606975,1.1384989184987677,1.1091658483830524,1.0422509318756619,1.1017262610849097,0.7672021097475268,0.6818291975833198,0.8952746087001552,1.29035042484149,1.3020464333158825,2.169859517921055,1.3143327097111046,1.3675294953057082,1.9472614219378057,1.6805911088312142,1.5926845324925432,2.142891203139062,2.7241298841592925,3.679998423405776,4.575376134303936,5.6140692504154],[0.6657662195755186,0.5763001622796325,0.5252867773982641,0.5602904177583675,0.43619521433333686,0.5222442045833032,0.38796368992739116,0.4257901162157363,0.40082735620748045,0.4384485411438882,0.4775521735981881,0.5176059694425212,0.4736383064509899,0.48188263642336887,0.6814098049428964,0.6175418953051672,0.5863718757242833,0.6872709201913254,0.778220558712377,0.7116215400228874,0.7766207462564587,0.7548742052907447,0.8489062299066646,0.976972651342968,0.7457035285458614,0.7638286874988247,0.591625564003018,0.5755922788966803,0.6178025230617368,0.6092209073697104,0.6813789492827257,0.6546138756289628,0.7798941772921737,0.7073231066325041,0.6477085534637429,0.6496522321255952,0.6285041921159147,0.6160545183261289,0.5564857162158406,0.5589967456104057,0.5515306468853334,0.7318071841404017,0.6935777255461008,0.8000512057720728,1.094383346260655,1.47038263520067,1.4516315351344469,0.9090162494086498,0.9778107115609859,0.918585700650468,0.8971061357614505,0.7556674412189283,0.795137299793475,0.6262440314772318,1.2531853211548107,0.7079772183471609,0.6756075661687726,0.8196241690042296,1.0351960116607943,0.8929862347039474,0.8309135144165336,0.8575307208722873,0.8242650873429161,0.9764692329949617,0.8026101243533568,0.7459854486705134,1.0073509053828529,0.854186544099769,1.021871077946237,0.913074154115152,1.1600761344637778,1.5365732236223015,1.083791966233661,1.1231098117513527,0.8506174753630936,1.6958052081590256,0.7717062256168944,0.7664688519752958,0.7240418220653498,0.7501575905337851,0.7169543191676558,0.7130891217243565,1.0319439453981027,0.7247561036980598,0.6361669847326753,0.6311736227555663,0.64555287007273,0.709984529393936,0.6628357569241897,0.7322601975726383,0.745644751774166,0.8947825001181227,0.8202028239233471,0.7400267270742558,0.7032429824154917,0.7843523869291505,0.7983000606459743,0.6441267693152253,0.6074157841184054,0.9154388128840509,0.6625761528240613,0.753452591122894,0.6113070210302596,0.6738972100490769,0.6383238970638692,0.6352676619778277,0.9583450119001568,0.5748618298348314,0.58407149344918,0.8239831380129484,0.5040427343205309,0.45731194691348437,0.3981970770316024,0.4644286265555152,0.46015421342027824,0.49091544028673295,0.5430968224694193,0.5590124203060942,0.6751438372700749,0.630720121822408,0.5785233295283839,0.5518105474528684,0.5154693897354956,0.4529266510689793,0.40645609593313514,0.42537995477651624,0.428478897933248,0.41564072294866394,0.4377312076168297,0.5222769333084973,0.4915189020111646,0.5636802526688612,0.4638812482153032,0.5903610397690753,0.47553467437494024,0.4772744859537232,0.7282894356147396,0.4240806805108806,0.4286488897838481,0.505693113992983,0.7807690680472842,0.6593206854189447,0.5836082250234522,0.522657686904398,0.4936682260221425,0.48301364516064166,0.45813176084610135,0.49727145964804015,0.4811911893199764,0.4863541371958872,0.5450469085226097,0.621172222792173,1.0054570722166045,1.9991277917774481,1.0155154007918457,0.7704783893066507,0.5855949601237561,0.6397513353803221,0.5421147653083327,0.6159582464241627,0.5220133159153301,0.4975331414266152,0.4692360909256642,0.5103875603684209,0.5174758105997417,0.6060783740453896,0.5507760321168149,0.7720067829727424,0.7476229396731138,0.7669478465745719,0.556550288552145,0.45615696603502165,0.48643258450734617,0.5169651676444437,0.5274133735661746,0.5833673244619174,0.5838277110412892,0.8456972372751066,0.602498044358202,0.6769811313091896,0.5312108871391705,0.529988963528514,0.522869823901306,0.5031212664370466,0.5221504850652586,0.6517638857141931,0.6757927703662092,0.9772745235578482,1.1950263949961937,0.9572367324688661,0.8948613717693435,0.8601699450234506,0.6952963329882993,0.6265566444447672,0.485179933662677,0.5095302891089208,0.6713149828076451,0.5569049669428423,0.5833634010939376,0.7113725727249763,0.7914842939018514,0.918507353904158,0.7488111749970583,0.7900139392722008,0.9539227236558036,0.9562292720675708,1.0013798927762787,1.0109705178606196,1.1633717237496835,1.0767246741913186,1.1557570994278188,1.2814435285285446,1.3225351428178456,1.3093958896742244,1.4223060488694783,1.201170949609347,1.4751235328900927,1.1418339515202924,1.1539581318150207,1.2440612525494184,1.1891687802184623,1.6902969931612069,1.3474416099493987,1.8266512071638872,1.14945018333714,1.221637566554225,1.2156130175255302,1.1782711382501396,1.0421425559359805,0.9569123692024054,0.9985104493409558,0.8881326073433757,0.8922349767669215,0.7974780609655208,0.9395572818142648,0.776560596901342,0.7687800468731641,0.84652226585927,0.6891788019133336,0.7888723661366649,0.8737962831235981,1.120029630745393,1.246084473168362,1.3739466184970706,1.4281895690892359,1.1746361937838241,1.2715835572169853,1.5827966713087434,1.3554737835611126,1.2064821997552115,1.4286998328234264,1.4832404675592674,1.3003149315208788,1.4261238315482896,1.608947864548385,1.564977528877811,1.4584409274523789,1.5176841707677047,1.382122713054172,1.3420565311616561,1.2294937250379145,1.2047981248985915,1.2409959511478508,1.1068510993346061,1.0873697055573512,1.0891490240999504,1.096589492271063,0.9376284621872552,0.9647644848361502,1.163107495586835,0.9734825362272788,0.8593629145475482,0.9648536668309506,1.0908418782333753,0.9815849806798801,0.9696439229697117,1.0863119564759158,1.1749877240465094,1.3255565320695875,1.0063069650922474,0.9398735771224218,0.9405646853782532,1.0105002167080313,0.9720460664674173,1.0558054695593855,1.0075791592470988,0.9081068126998859,0.9305950347615617,0.5741335314176953,0.4913693724037569,0.7698613358326043,1.125637281334595,1.100107450279135,1.9992553496997967,1.1336477005412122,1.183712130791494,1.7678314068172294,1.5905825569794565,1.559659667449859,2.0679926635085626,2.6252384012534735,3.6735151637309764,4.556184803626655,5.702960810115475],[0.8133791445780097,0.7394137381196177,0.6994893972706839,0.6653038027607295,0.625256598014231,0.6825199270607157,0.5620793636361837,0.5939102608358329,0.5834027042959216,0.615049389174671,0.6645445287301636,0.7230512408829829,0.6873183089243092,0.6320135111673739,0.8062547278044094,0.7677568012702576,0.7337240155874788,0.7982337859924806,0.8446814863595227,0.8032053103306845,0.8463756653924737,0.8173160892210813,0.8886512928951501,0.9542493480727313,0.7919402430103367,0.8053181680051436,0.7184915715205998,0.7057962206229025,0.7614833359253438,0.7565184913369895,0.8336281504984969,0.8356859854162493,0.9129127091291301,0.852854920749448,0.8217829908174804,0.793734906426804,0.7816846821246745,0.7591908504015336,0.7150364547502542,0.732191386791694,0.7094216447291363,0.8478005323161789,0.8112849905659142,0.9069901296882759,1.0883690802012869,1.4668878460936083,1.40236457829229,0.9712810235435987,1.0700580425734243,0.9833789276723666,1.0105381122418273,0.8574451154635584,0.9692703204139436,0.7947209625056135,1.3014661088077428,0.8642458981527479,0.8379849436042408,0.9240553677500384,1.1761880668623736,1.006274403947907,0.916950214891586,0.9577145416173771,0.9177283024082439,1.0729968966880734,0.8899483427377142,0.8524656260168079,1.0495546206855355,0.9424198307428976,1.0205466081155772,0.9788492924711675,1.1950234157016735,1.5264960336969513,1.1257627918713637,1.1556309043081687,0.9238938551587136,1.5587799563790188,0.8539902553661942,0.8783493840868962,0.8520615634231244,0.859614726620308,0.8657883459678618,0.8661886354494508,1.109919561484728,0.8873522654761347,0.796417730386985,0.8031053889040829,0.792750634976141,0.8502036554289687,0.804622143610921,0.8658286439987609,0.8609717840408383,0.9872411710219676,0.9321865161554614,0.8772407641288182,0.8517526500544588,0.9273856620256518,0.9798081692562388,0.8336579349949154,0.7784358689381159,1.0484439426906729,0.8599596013304437,0.9594313716806918,0.8137843236050415,0.8584374289897251,0.8292787790570271,0.8049262081463902,1.0796456055802415,0.7611578443170344,0.770882112397205,0.9484405178488143,0.6921859279295218,0.6677695460558125,0.598240901381296,0.6212994727839884,0.6144982284854081,0.6198294601974585,0.6663494802502482,0.6632946548694545,0.76280402511002,0.7540192987989579,0.6885200202303556,0.6566170689806685,0.6234401632716036,0.5892690642295448,0.5648908037863257,0.5946190557658158,0.6240340537505306,0.611061587979721,0.6437689086970152,0.7201522699680052,0.6897246956627614,0.7607617379111679,0.6826768619329249,0.7630224272847296,0.6856374689336681,0.6725278618909196,0.8654608932889193,0.5869595115908951,0.5651684281282636,0.6393391381333208,0.821546559929427,0.742704869935673,0.6950470875587456,0.6723959322994557,0.6539054998359174,0.6486065266087532,0.6341711371786823,0.6923560548893972,0.6937041804782859,0.6970975867589804,0.7125509141245508,0.7710744354954743,1.115920720197818,2.0327809101181833,1.1054671291871305,0.9280351724744733,0.7974132032717124,0.8384457747195724,0.7427521144504996,0.8009081308942195,0.7089777463914142,0.6868944230248576,0.6497889136937348,0.6814421438558063,0.715899051912552,0.748969428898638,0.7131985858075243,0.8283856490376853,0.8471638091063673,0.8552530630603971,0.7076607535423081,0.6489361495708196,0.6860977323340393,0.7148972331087585,0.725171857704154,0.7835964554795819,0.7717654736355584,0.966264318598919,0.7821582353491298,0.8657880450139467,0.7346727074227263,0.7342164505725562,0.740296590124695,0.7263958444149047,0.7351242672533936,0.7991104921058568,0.7923881175115852,1.0842963834996855,1.2543408730657784,1.033322323661839,0.9935106803333126,0.977922976887751,0.8438776888955304,0.7705156196026204,0.6801335658433629,0.6971048239271757,0.8305398316372863,0.7131865327682689,0.7139789326847881,0.8194007538922242,0.8792093707662472,0.9883712377397695,0.8413301493243593,0.8568930049318932,0.9948482509298558,0.9869078098535029,1.0010072940184265,1.0132206073614447,1.1596653159477488,1.0762885824190014,1.1440607402692093,1.2488419395943886,1.2852422681705709,1.3151380580759038,1.3931578262252684,1.1732906959425404,1.4248413828442414,1.1223169440408531,1.141884523630444,1.216430198686527,1.1671664690288044,1.7703236161719584,1.3096132859730831,1.816031656289077,1.174700835876148,1.2767144693319068,1.285993470043478,1.2626413091637272,1.1061243968501902,1.0112819871776095,1.0890120196026374,0.9716619873818628,0.9377144359312239,0.8761487110008572,1.0476360054205354,0.834981329338123,0.8432479098804142,0.9354831643535183,0.7898078210173263,0.8912687514050959,0.9961947351160195,1.2005285728807393,1.333615331010508,1.4636621532871381,1.521102784547846,1.2511055777814857,1.3230597949502898,1.6577970267084485,1.4233492103220466,1.2434978011335809,1.4413920956698028,1.4860716447469025,1.2988284508742705,1.4185028043873575,1.5925792753546482,1.5301926820672065,1.4123742270829358,1.4712197170756063,1.345869528760479,1.3283188854996468,1.2452533552634226,1.219552564018714,1.2301536281082908,1.1085859294408762,1.110156201435096,1.0948046477616793,1.105233023463272,0.9718218838659693,1.006297157565956,1.154423452697615,1.0057966977448496,0.9083007397184223,1.0013395784706198,1.1227986353482888,1.0336300383338568,1.019245777205507,1.129738479447791,1.2300967676221783,1.3190071743990563,1.1017729225805197,0.9622251896471065,0.9942118691002358,1.1640014387526907,1.056681791695456,1.1266831391086152,1.0694826000814668,0.9286524206389503,1.0269691907886267,0.6979618791929009,0.6621745089254729,0.8307873600156723,1.1641415957807082,1.1385963696726826,2.0274220858816205,1.1567989610599625,1.1789587112468813,1.7015187024306113,1.529950611264034,1.4947485814554446,1.918707699843806,2.537337304610064,3.5345466647531985,4.520945243847454,5.726932709757905],[0.8149825092863106,0.7200228724425745,0.6709450153025659,0.7485824606842902,0.6320811702549771,0.6660726970560934,0.5613334976875827,0.5754420470878009,0.556521249465889,0.5319629875915028,0.5432809813587849,0.5646907238794072,0.5422658969902922,0.5470440251710459,0.7213720099373383,0.6488812247894925,0.6342371226359873,0.7238268699320739,0.7956963105668872,0.7347381552264864,0.7878134340086524,0.756506359279929,0.8372891791972127,0.9571429104623417,0.7590551539713425,0.7740633720529458,0.6400646547000313,0.6189875505926432,0.6471407509589855,0.6213935028420067,0.7147488824377696,0.6707193535922985,0.7785705314298687,0.7127936927775538,0.6605099989351121,0.6564412936326586,0.6463885380703808,0.6357774278367643,0.5913838956338257,0.5960105748161881,0.5929258417364746,0.741005094561269,0.6950240363645716,0.7955575092967913,1.0330211348779423,1.4099106816119025,1.353131741575329,0.8776148366760188,0.974149567659783,0.8891660029312013,0.906412697761124,0.7596885017634202,0.8469462122709084,0.6586291714749812,1.2331644336433947,0.7412692609431619,0.6912018756387657,0.8363508285831889,1.0976389146009706,0.9117561992626425,0.818914957954577,0.8643357875102309,0.8168305286578634,1.0053277861354055,0.8009238971631554,0.7531679283519438,0.9897666906068128,0.8648160465475562,1.008245853406567,0.9446830184846469,1.198476928961994,1.531374078469256,1.1012140520626412,1.106898412454885,0.8719800743228044,1.6124660741090948,0.7754648146278784,0.7670599479949121,0.7294862767646882,0.750662630541554,0.7155810813049416,0.7174769621051887,1.0458504762312428,0.7697082279717367,0.6676449826474777,0.6487480701918272,0.6572951443172937,0.716162342449138,0.670856052042222,0.7403089301775805,0.7551832232011663,0.9169265200384953,0.8354412067578403,0.753626309596414,0.7261439454194034,0.8201592633452988,0.8737548025537967,0.6607447383377731,0.631101206417311,0.9408613002890586,0.6789568204878572,0.8122401127524171,0.6386670644067707,0.7261330745601636,0.6824391120391825,0.6964683804754719,0.9279032958815847,0.6756195941863076,0.7070381487463132,0.8889590554811136,0.6740747706626848,0.5938743869865076,0.5442459180122348,0.5557224607484531,0.5389081564096669,0.5555327162304953,0.5901474850591497,0.6111259821907361,0.6964589781794228,0.6673454859807608,0.6333071617286689,0.5996122763327542,0.5984531142938548,0.5295921455445985,0.510064855624557,0.530497640214987,0.6274078347732093,0.5986382775858067,0.6316451985922001,0.6503497795983968,0.657809199859768,0.7085669685323268,0.6176564790947808,0.6752304652686316,0.6293918007563586,0.6105528485089984,0.7874305144755973,0.5568383430723847,0.5442050486017278,0.5963596996217847,0.8239278978668861,0.6975661952967824,0.638277513862165,0.5834786237235543,0.545101616730263,0.5261589844584608,0.5180485086467174,0.568278336507239,0.5781882145668461,0.5760421416594512,0.6345262209402083,0.7023983418233039,1.0456019774939718,2.0942498515360772,1.0858831288773922,0.8276892401029569,0.6446731967317912,0.708747021508206,0.5971085286834242,0.6726729934318083,0.602827014144646,0.5636391310328772,0.537884990245193,0.5720142813252921,0.615138281181838,0.6761314465166905,0.646735856685901,0.7864823550440164,0.77850272066154,0.7914054053593259,0.6394831103756083,0.5752134781961641,0.5792923324253955,0.5840960202689999,0.5910517253350628,0.6401380554560112,0.6381228003337299,0.8683864757046557,0.6543102138039301,0.7283918045099004,0.591888041025438,0.6021402668850308,0.6060722584785573,0.5899986771595669,0.6066189895378684,0.674871182661743,0.6736444555857457,0.9770139674488286,1.189454420749979,0.9615373989019068,0.9039430801559846,0.931434591840043,0.7875632477811572,0.7218885830943942,0.6315202371428109,0.6376801655637031,0.8001368848803997,0.6522217218504635,0.682991108316647,0.8244762385687118,0.8012638477324051,0.9016769523331731,0.7893755747881688,0.7942359170758206,0.9139124899742609,0.9236699385278934,0.9748539204282776,0.96427143182923,1.0817806205274216,1.0417287048060357,1.1190922839804902,1.1933668263431532,1.2394272726422875,1.3238164007485484,1.351116950959207,1.1396600621356507,1.3945034147201505,1.0660639406112056,1.0845153844646171,1.132460791196478,1.0729454265218774,1.715299364452462,1.1851055584727324,1.6453392920024066,1.0939507813996365,1.170004632229097,1.192602995641788,1.1891130534892866,1.0007934885285785,0.9278969780516245,1.0203659667137326,0.9203906656897141,0.8787174949087341,0.8197203383546044,1.0477635899123463,0.7876803321189746,0.8160646986604182,0.8555094504674257,0.7293812134237136,0.8541508561521712,0.9383263569494624,1.1476214046298354,1.2771153601397394,1.3566916626265562,1.4255557914550874,1.1737018437559046,1.1841832724812031,1.5221102333976686,1.300905933854479,1.1351706855632886,1.3173641544735586,1.3702204245033687,1.199781552417701,1.2999584236524335,1.4662629833214986,1.438932760304304,1.321237531427188,1.360015593911134,1.2426809888178432,1.2114374634529754,1.134198692678381,1.1077523636285782,1.1131547739792997,1.0308277232318714,1.0134919371047153,1.0081132531959196,1.029334976841706,0.9110723587445249,0.9325478636671048,1.0750196995290129,0.9382431080920101,0.8509402455004739,0.9214254810786013,1.0556588745168214,0.9838877410820472,0.9773440419404996,1.086451105149411,1.2193684813781063,1.258417496804977,1.0635324557577295,0.9381528631804862,0.95503995184635,1.1340755906434827,1.0538170310658415,1.1317591328847807,1.103203950297421,0.9755692898639006,1.082027186583685,0.6951695587876614,0.6514653152505681,0.8634526800832911,1.033595882520868,1.0154826085356763,1.8656438162969045,1.0133417670189317,1.088291620317391,1.5935485608664601,1.4758166755723674,1.5414629434316438,1.8376115255825174,2.451158756497808,3.5313699456936893,4.514854716249514,5.854697987903506],[0.982148756861571,0.8788064942839887,0.8384857893023037,0.8515316528673592,0.8370069569141225,0.860807388179117,0.749328390799401,0.7258536511624266,0.782892926778085,0.8389849849364681,0.8881403243558963,0.8458675203994896,0.8579036999528734,0.8819583408092414,1.0226736877721812,0.9450113365784933,0.9528631784140251,1.027946062079482,1.0783692631083337,1.0200608754616365,1.0705639484772551,1.0247235959008936,1.110483206829876,1.1422951069063152,1.0120787464940966,1.0379074449712886,0.9406612179407651,0.9356942964650496,0.9587779464494102,0.9226143494831699,1.015515874378322,0.9209581746250621,0.9923909384268028,0.9871456970872952,0.9324975555948813,0.9598282895079662,0.9002828214056317,0.9372447965790974,0.9030838571918263,0.8730171610077787,0.8979549389330264,1.0405630401525752,0.9843520302985014,1.0801779206019628,1.249977954266294,1.583140420386484,1.5049018822711968,1.1539971540756249,1.232159892842214,1.0952976205264802,1.109633209135828,0.9628526153458209,1.0974229903261645,0.9362496112893354,1.4069132025311322,1.018944801311148,0.9694238080761135,1.0381488412335664,1.2785991445848572,1.09376321374483,1.0604499226588504,1.076772303662312,1.0379823140789566,1.224301664165649,1.0718936614714367,1.023919844989849,1.2453896082465958,1.1420047569584972,1.1936241139452546,1.1820194494337217,1.36388134422574,1.6435430360282441,1.2848300149590282,1.2831409538886491,1.1163426948295638,1.669008706636928,1.0298540970513483,1.0177102859776264,0.9949088499424363,0.9987566784921186,0.97449715927614,0.9839866507385604,1.1897294684124204,0.9374918760019622,0.9021841625863734,0.909835118137638,0.933220791032348,0.9514094687939673,0.9635974604440617,1.0025047408754508,1.0242232239330056,1.1502979605863177,1.0974109960119238,1.044650858239824,1.0311722491868085,1.1410366774930034,1.185781687162392,0.9500599628775374,0.8517174799789523,1.0008849051337378,0.8574429999366036,0.8744830732002344,0.7995878837484565,0.8237716472928757,0.8048137317512232,0.8163073679314686,1.0235940479972157,0.779641834251203,0.8060963830062057,0.9538188468757158,0.7787418149152472,0.7481501145966439,0.7390681490058048,0.7846590868357829,0.8236902870033433,0.8469286149206997,0.8869370200617005,0.9044120740115041,1.0014800959171983,0.9885805419505395,0.9405121294092655,0.8883180583735352,0.8861590016360703,0.8429638185640158,0.7915194561271394,0.7812226042120206,0.7898498037623825,0.7444433577448073,0.7656622126453144,0.8005298762149217,0.7921862034247531,0.8424950393264878,0.7574136645617974,0.8139242498869783,0.7755433036265628,0.7740299005383436,0.92396335980475,0.7623809240573726,0.7952926256740621,0.8552070372130399,1.0065259064687844,0.9564021559932105,0.9445695485121615,0.8897602300218921,0.8619998832899306,0.8482221000820858,0.8308086482486601,0.844160912350088,0.7951654871737166,0.7866441354525949,0.7383891107577035,0.7731802908689425,1.0479431806274835,2.031352129186832,1.0430292567203148,0.8571470792839551,0.8047664450106202,0.8104500972502766,0.7915763845655378,0.814601154038759,0.8198313517622116,0.8250953580133042,0.8242162914861317,0.8424901163988733,0.8174296867412231,0.8945497376522187,0.8435109585533808,0.9417450112512057,0.9296786903640798,0.9566555803057234,0.8143279830837372,0.7818049539355535,0.8017248379732845,0.8198809099644498,0.8108778223627198,0.8171165150474833,0.8304161001784307,0.9965087424373517,0.8551981173020285,0.896504797096266,0.8121528089168165,0.7815310542578897,0.7826819128024628,0.7724756242695618,0.8016748252758061,0.9132264840437196,0.927678702769395,1.179654958962097,1.3856601341235113,1.1262006815469454,1.064114713888146,1.0553384389671416,0.8775018102327217,0.803678286321351,0.7497179641818514,0.7807595900767265,0.9492718062412719,0.7985859311625564,0.816332750936701,0.9097653217521854,0.9175310694634767,0.9990045835337966,0.890709174379436,0.9106464172722717,1.0167264388572863,1.0144430387586805,1.0751268466643655,1.0671271693999604,1.1655324652275283,1.1387983681851472,1.2131778565089348,1.2743053931257142,1.3074542280040848,1.4193943060510572,1.4505020736711487,1.248987609993287,1.4865872391771817,1.1931307251949415,1.1913840218550407,1.2303697917045664,1.1662365072316452,1.8701804699226026,1.2879491807258732,1.7474325254791199,1.1727619432806506,1.2618166704183797,1.2756422139984236,1.277594017691028,1.1231113379801676,1.0336638889555234,1.1105617198005646,1.0149550121708313,0.9619474957560857,0.9059109614292916,1.0986566589521158,0.8845651583540163,0.9242133788109677,0.9879192702918608,0.8561807335741287,0.9383416852946159,1.0365303761617966,1.2189926540106,1.3364224270888319,1.449790315981465,1.4993149947834465,1.235514408045132,1.2573807173112508,1.5913368956085394,1.3668668990297674,1.2000433257047596,1.3641678261516283,1.4084876883620787,1.252503454091538,1.359119234649575,1.5119044894097546,1.4813725667342215,1.3916151204881744,1.4230919101569728,1.319500609907163,1.287161257529951,1.2120358733431136,1.191813495397464,1.20346459238436,1.123955170085349,1.1043700596144317,1.1004550176947356,1.1222222114275178,1.0105773177457764,1.042023885272747,1.1467256661403116,1.049417760129671,0.9672821637021235,1.019675693299594,1.1798670737751602,1.110198772167767,1.1381679881147913,1.2280271036147414,1.3569819889461643,1.357706043960471,1.2284034584015893,1.087397541123929,1.126137322065427,1.3165068390236618,1.2070412517696067,1.2590962734938882,1.2056325540269677,1.0694760105672714,1.1798206056573752,0.8140338300360062,0.8004045561646277,0.9253899608698933,1.1294926687774955,1.0961803390463791,1.9113520280969978,1.1511507575020936,1.1570370720338632,1.5447915785968875,1.431845224035453,1.5070520566575232,1.7624536480451474,2.3898852225209244,3.4046096562223482,4.478770499254885,5.821624120139072],[1.2203720150608126,1.128742108296669,1.071804557927581,1.0107085626238719,1.0248529765043952,1.067886488883261,0.9395569249396492,0.9566789535149959,0.965450416368155,1.0193704289145367,1.0811657244039996,1.0586587464071866,1.0887514920940655,1.107499969082498,1.3203184167702355,1.2614891766808753,1.2275480547138558,1.3345833892368941,1.3849479338381971,1.332026449573666,1.3934330085772337,1.3330717118986288,1.3940172038294345,1.430880242802552,1.3306283833423325,1.351966784377729,1.2773853134568112,1.2311542564417073,1.2617893476068105,1.2214344956501724,1.359509345379651,1.2457295139188485,1.3351345993327484,1.3553494543935274,1.2775405708376228,1.2966033225239848,1.2025425861524375,1.2495113134135294,1.1965831870572805,1.1624089997999343,1.1790282465540478,1.2937534647846043,1.282543439505909,1.307846857043584,1.4161608794129874,1.6406484734116369,1.6149717716683012,1.3506067226331975,1.3661843663137576,1.276883531618467,1.3595902224368999,1.2162757127737256,1.329963688495787,1.2189725329715193,1.6215542811415387,1.3293359272614444,1.2807692579557233,1.3233866794036722,1.5510827704906052,1.4368535576498425,1.378497894657205,1.4095643713004122,1.4082310706201446,1.6162431961360098,1.4256649069906742,1.3624078642307984,1.5924661420838393,1.470231283853065,1.4610900917501775,1.4869498249839024,1.615328167592125,1.825457821591991,1.5882239535881626,1.561867445825895,1.471648255989073,1.9222679192204433,1.4094684623042593,1.409164796491429,1.3420995621548313,1.312936514431783,1.27642110846014,1.2765991257170495,1.4183968444710673,1.2329303926344148,1.1739341422323664,1.2029088862276358,1.246541040865673,1.2497539382848304,1.299529110862586,1.363787958253462,1.4072141490207632,1.5272420748885456,1.4870425383695165,1.440071689157689,1.3924527845137395,1.5261592779977595,1.4825195018976,1.2835065445650011,1.1476544974027043,1.215134508959568,1.1426160156809344,1.0976257415005042,1.0846263307276396,1.0929055130096503,1.0936307054882004,1.089702629396907,1.273725787680805,1.046255277503792,1.0361711860438523,1.1580094603495215,1.0013900410796646,0.9805805110650037,0.9524641977469521,0.9993065126415179,1.0368755563119403,1.0595974135715054,1.1359680799285414,1.128226083310874,1.2507326120905444,1.246529119181517,1.1784258469369016,1.1232457181883853,1.08674029494343,1.0115783009854007,0.9580496924971593,0.9658371235419192,1.000361912382248,0.9481689243506741,0.9836383352685373,1.0290260667200013,1.0207620228610303,1.06901132260377,1.0029889265822514,1.0688473580763374,1.0084656563110321,1.0018040170447269,1.1093398764374818,0.9888383023468797,0.9926589293544923,1.0585259184643094,1.1791135002251132,1.1607993855709597,1.1862854701668308,1.1271254477829544,1.1210019141303458,1.1243030665096825,1.0805640688586207,1.1028680945111544,1.0411766795370385,1.0073561204559247,0.9951560731348162,1.0059213924897796,1.2896231536249627,2.1105142875789604,1.2057679265638364,1.0930333534174959,1.058847481897223,1.0734376812357758,1.0780281397718843,1.0893151090580606,1.058915174452391,1.1000320197914295,1.0762563056096834,1.1109050330982808,1.1017055713058872,1.1138302371086348,1.0533008449467418,1.0960980356183412,1.0885985015203279,1.1016345384608415,1.0201416273807538,1.0201697337213,1.0561786344724846,1.065032084687634,1.0796994522524423,1.1008230453708048,1.1246633885009025,1.2812034273601667,1.157077951191136,1.1686096189358008,1.072412220739401,1.0466848519614178,1.0491694729295182,1.0328920153414975,1.0376247660146924,1.1175001418573431,1.1469932246384071,1.3784545654914317,1.484497922643396,1.3194877360497164,1.2294515184834298,1.2389596456613166,1.0935555088963052,1.0153049921968678,0.9758579772402236,1.013618082341776,1.158892817638719,1.0319165079389503,1.0425072374073934,1.1076695588448997,1.1516219135991284,1.223770186279021,1.1140825637154943,1.1481863507576304,1.2623597480641764,1.2507568200890145,1.2666603591286734,1.3057237401414947,1.4201540456206363,1.3863079998442072,1.4474921011875244,1.5235847312693547,1.5506069935920266,1.669559527086871,1.693568540306829,1.4860145700538725,1.7083174331030857,1.4254698789536195,1.424964726621822,1.4939651183329024,1.4354129201716315,2.1674858397518246,1.5500636472955616,1.972366563711943,1.4377797344374719,1.5020574680675447,1.4882293469557124,1.4881577018431562,1.395549118638644,1.2745519731365562,1.3072568954728787,1.2334386879386052,1.1816605003125693,1.1293002377396837,1.2698469877781096,1.1293560657096993,1.1453784370445643,1.192326790127209,1.0930322025416113,1.1589462907645673,1.2353454076088695,1.4013888554428902,1.5193160426254593,1.6865224687545648,1.6819803983677868,1.4216846415037507,1.490005056962744,1.7896149478972416,1.5372263821410852,1.4277298553242062,1.5988037192231763,1.6311959261199616,1.4854332742209424,1.6229662823904856,1.7842836994163949,1.7433100275226725,1.6634602094670297,1.693753506219308,1.5997432385805044,1.554292044765238,1.4686272920877474,1.453614216455578,1.4833851419664337,1.3925772561143224,1.3696946956736276,1.3705939341844031,1.3762697925401697,1.2630499479942339,1.3175006741753388,1.3614911563231573,1.2850020196902903,1.2054024767382134,1.2361954140355365,1.3883844733786417,1.3294077446364625,1.3745953686010255,1.4335747243849795,1.5221781911337722,1.5444141968728755,1.4405948303153364,1.3292466995559569,1.3871673638854178,1.530976139669788,1.39224002857503,1.4220336495643935,1.3475640636632584,1.2173558270785874,1.2880956830550812,1.0325683106007146,1.0078752797117576,1.1349915353943152,1.3060087648967917,1.3120251699699632,1.9963691124059648,1.3675777523709405,1.39317146124001,1.6625904933192401,1.5755068633383442,1.6869497587940607,1.8691808627012207,2.444858366676967,3.270367510053025,4.418782704287365,5.69269556131298],[0.8089929771696792,0.7174596533269568,0.6995551316836847,0.8099074049814995,0.7294509725607856,0.7275652174786694,0.6701377115572501,0.6751478838147862,0.7027292597027517,0.7333615079792918,0.7630816698102401,0.7346268154531559,0.7553450092716673,0.7859818845061679,0.9113614154728744,0.8368996675006398,0.8461496228514541,0.9362221080300681,1.0067901000384138,0.953379162923836,1.0113536865684187,0.9753370244841247,1.0346133542855025,1.1493659372663187,0.9790842110771796,0.9909641721864054,0.8894702182836625,0.839305779201569,0.8586932241697592,0.8067080611347781,0.9021328856891955,0.8061481505750532,0.9581829505702532,0.8826404480614612,0.8323407552537946,0.8424052236776016,0.8030228191284672,0.8334352447477689,0.7993011595635375,0.7831255165444143,0.7975640661611875,0.9034955518809997,0.893929127398798,0.9127749764555975,1.0942714246081762,1.4409299070592168,1.395752992531443,0.9727636847939768,1.0590540100368835,0.984326217160652,1.0511034874967364,0.87715774212934,0.9666341995492087,0.8275227700986894,1.3266080090244017,0.9174765582117026,0.8990959279158178,0.9569294039153492,1.210177679334118,1.0590003205974179,0.9922381195920221,1.043031256941974,0.9946631926467732,1.2190984563614315,1.0015658326328898,0.9537647531188856,1.186970361369003,1.0617981809452628,1.1462067180213804,1.1250368244666324,1.3291523097331646,1.6429316320092324,1.2508327776415777,1.247570560875091,1.0611744086174724,1.700178517707293,0.9621204609284242,0.9477472912572203,0.9017788175606347,0.9096103624146546,0.8736534281449551,0.884896737211952,1.1190179502374562,0.9258976297242343,0.8346129310892554,0.8195802901043625,0.8377888785159204,0.8593573892950735,0.8546170087996978,0.8841201633183655,0.9356130549755035,1.042967054512984,0.9908544303785839,0.9115789029129292,0.8946220904216189,0.9831638254988412,1.1007745259996984,0.8240310691875491,0.7639838648742837,0.9775355734357419,0.7926720126876458,0.8712293455334944,0.7541709603814558,0.8050777229894482,0.771570761569596,0.7860603886880345,0.9861609454744936,0.7577466634283812,0.7811893392662307,0.9412658137263284,0.7643619893527872,0.7130656804510823,0.6822309626690476,0.7107950426056125,0.742076404323734,0.7637433260890312,0.8161425493733048,0.8424795030667215,0.9095091301936065,0.8766016421030199,0.8612113023673691,0.8395312003147681,0.8128952504518525,0.7250443052781856,0.6827748352193613,0.6837085286470521,0.7459838063326791,0.7129036994144722,0.7380428871252471,0.7545237044624451,0.7625037038918222,0.8029580171723385,0.741552054897931,0.7726635235008827,0.7722468265983516,0.7608013386043972,0.8849175317176959,0.7260213273288696,0.7412793667791041,0.7786510936404972,0.999691588416989,0.8898909474822204,0.84302892373296,0.7924472986789327,0.7666118576631517,0.7559725566181473,0.7262551313607547,0.7580394654508315,0.7398683923857221,0.7330216553281669,0.7247197114038091,0.7699974193662892,1.0694857674577303,2.0670296535868244,1.0426238170700761,0.8676394263676778,0.7525774970109984,0.7863148194691605,0.7457181904247716,0.773220849980736,0.7512536297555289,0.7504595012816021,0.7319277525695557,0.7621205648172448,0.8140641792531271,0.8303606023089984,0.8115796458163915,0.9000761229469866,0.89334025358517,0.9038594789333821,0.7805315846987269,0.743145487519257,0.7464229131762355,0.7474345991250986,0.7486019448581649,0.7708155404050193,0.7871633901921297,0.9610949519547072,0.8039069995403842,0.8427297839730382,0.7392785109135239,0.7213780873742701,0.7262279054102796,0.7182446394786798,0.7405822460340616,0.8035547019565027,0.813955384111044,1.08851091847692,1.248168891364575,1.0624153285776905,0.9845399081424621,1.0359175654684405,0.8884091921176929,0.8182686431078338,0.7395093093406301,0.7367192611777701,0.9096883961277143,0.740039578485801,0.7452465257511074,0.8688760627385813,0.8364476629215943,0.9241505224292031,0.8179830173400119,0.8288488556370296,0.9433102231072835,0.9409859926204261,1.0070928877207743,0.9915591717456071,1.1033974047711004,1.0649401447771558,1.1462412599522354,1.2185460469652634,1.252822527480067,1.3449429162156032,1.3872098289123664,1.171002006705575,1.4261630824311895,1.1156014838464845,1.12339896395767,1.1682943983991645,1.1063841606034812,1.75979265997617,1.2399270103632194,1.738578596498982,1.138097524473985,1.2236252732195287,1.2380337315044232,1.2434253671553872,1.0510527470867517,0.9637127814394805,1.0594652162858331,0.963932440028535,0.9030660522057691,0.8530997038927425,1.0932576802152947,0.8300304426500964,0.8627209764994583,0.9148797124723652,0.777690826806336,0.8978889341486368,0.9737999152208292,1.1751383191276388,1.3048527464495712,1.417567739115262,1.457267279963975,1.1898835141843993,1.218654978397165,1.5759575339283345,1.3144756681795882,1.145219888571064,1.3296952437759595,1.3712104714416105,1.1961421090057114,1.3285612308911094,1.5045232894972032,1.4572771438693772,1.357163376838297,1.399360217216521,1.2796048847763664,1.255074774743414,1.1685130053955048,1.149403646778895,1.1595916324483748,1.0578813886947893,1.0472797510910006,1.0395638452093747,1.058319997094373,0.9392770134333026,0.9715403787274235,1.09387349747869,0.9716269617683471,0.8816247354037875,0.9529504293944323,1.0863112954613718,1.0246459474271548,1.0287381957556914,1.12511973019558,1.246511167544058,1.2843685403417078,1.1115474855423646,0.9960162575187224,1.0161811775271228,1.1977511356768071,1.1169362239982847,1.182905017843238,1.1631455928916388,1.026543993071651,1.1560326065197986,0.7547262969103977,0.7262932314832591,0.8731890128896004,1.0442992241999074,1.0230917929579992,1.8805756824025688,1.0486042108989757,1.076509209524117,1.5041628890557344,1.383880134057762,1.4380077002316642,1.7117397835913886,2.335328395389812,3.333320282233594,4.441586184601351,5.751407061795206],[0.9362505331696929,0.8627470636212509,0.8023322179135991,0.7733312813342564,0.6924727583011686,0.7626622074178888,0.6481944457712204,0.7100078834880019,0.6640766233830026,0.6577971029236096,0.7051123455286407,0.785201387247756,0.729722091167077,0.6789718015588894,0.8638847653843885,0.8359245301594436,0.786617066171523,0.8895198933879248,0.9416999319753574,0.9113088645213567,0.9612758846277205,0.9436375945551839,0.9960834729096517,1.0734463591543724,0.9209760011432615,0.9144445016288354,0.823983351924659,0.7828305698524767,0.8470664164779481,0.8373611228763217,0.9310487485005867,0.9036699103927287,1.0645067599357967,0.990272515998825,0.9306522923121919,0.8963384224844153,0.8840793516735369,0.8589221814133171,0.8033173465291951,0.829641978642651,0.7750604101959093,0.8875690651308584,0.9002154259034285,0.8972563362699857,1.0681301941171149,1.4122735032628997,1.3652971018788478,0.9549115521689148,1.023567556491798,0.9723248355652545,1.0953118208647836,0.9168565054684732,0.9611560481838815,0.8678907405153037,1.4478173814909525,0.9521771363392463,0.9582450023902933,0.9953895888606941,1.225088907214417,1.0721722513927978,1.0239900313021424,1.1028496007489639,1.0772218387118595,1.2396521624327335,1.0134524806603336,0.986802203387032,1.1541582311392196,1.0352696308639042,1.1266607881265156,1.0846901972803578,1.2825731334392243,1.6553395276429343,1.250882208071284,1.2767101569767898,1.0681170777787043,1.7455872294948362,1.009186425677372,1.0334103876093261,0.9848387541421049,0.9794316639871693,0.9690194427698938,0.9777289535768374,1.2092093895679583,1.024366990990264,0.8858167198767819,0.8970827099945388,0.8931738644725037,0.9662733433961281,0.907313770735139,0.9745073527804176,0.9862789896457335,1.1199358679438771,1.0617800674864735,0.9948957830996286,0.9472959042427831,1.0243081503218736,1.0969602656657353,0.9146583324068037,0.8589252667063074,1.1465752388014667,0.9500334184058121,1.0519756514947587,0.9218211340009888,0.9694797413259064,0.9498938512612038,0.9174311172076058,1.2019979021486173,0.8879362610925954,0.8848674755142721,1.0391340807102074,0.8012123212648106,0.769824368678293,0.6964313361663409,0.7068584287418542,0.6824134988137208,0.6711191182246219,0.7249447010395059,0.7106396136849056,0.8161470964324841,0.7971568498094106,0.7390402859866807,0.710032258023908,0.6617039283045443,0.619368457467198,0.6165857817578249,0.652577542864038,0.6940276907606101,0.6963159407124143,0.7304870047034276,0.7971844793157438,0.7704940237388037,0.858992701286484,0.7801000969531628,0.855692436295689,0.7693452538050725,0.7514163113894649,0.9080676683190194,0.6607039329802745,0.6398568915040944,0.6973055699099588,0.8745727215113419,0.7853634747616483,0.766233723787892,0.7185744862694858,0.7268788002428688,0.7305329987727133,0.7075525411903272,0.7689532985836514,0.7818108964290883,0.7855861584656523,0.8194972924638589,0.8694404940187417,1.218633303923221,2.0130454753463853,1.1667704675152835,1.0310198085084568,0.8929767873024338,0.9337125938696896,0.8474413626141161,0.8862224857905153,0.7989081512597892,0.779809781295094,0.7298324173986747,0.7802233908428311,0.8096968216731979,0.8047241257581489,0.7926332691022081,0.8655040323412311,0.8871230966818103,0.8853133675894047,0.778443860510577,0.7268366388610037,0.7670095076950858,0.8058687512382284,0.8347405063475625,0.9028893089359835,0.8911160970758355,1.093242489611898,0.9301671418358329,0.9681556390047065,0.8361825203915442,0.8341174456678462,0.8350947504050155,0.81483336039827,0.8147627316099298,0.8714854383393927,0.862854612596131,1.1678748218246977,1.2229180247235623,1.0688245014201254,1.041822196950744,1.0370841401817754,0.9129989135127491,0.8502950007158974,0.7824665141179715,0.79434623066957,0.9389570801286306,0.8087791875606822,0.809674979869516,0.888623304593746,1.0010597917615485,1.1146479648436192,0.9485286009875384,0.9964221933686477,1.146860100666499,1.1298768123674579,1.117507803617122,1.1675762121952449,1.333914014332734,1.226500777434799,1.290011699586256,1.4173123872768927,1.4435948096107543,1.4412643071827709,1.5431119827027513,1.3172745132594093,1.6096646099601835,1.2560790064949856,1.2856967094650074,1.392225490658968,1.3458066839102405,1.8882069348878914,1.4984082727573471,2.0251727972952724,1.3612831817672757,1.4417729305487936,1.442881146331012,1.4080161855055102,1.2783604090333165,1.1634400462314236,1.2237690309512042,1.114641414841736,1.0774796099821944,0.9968980158560918,1.157741721791643,0.9365685902118778,0.9247877687861786,1.023974460073225,0.8946927844234165,0.9987530268563863,1.1099136082766914,1.3374009632286028,1.459552836785295,1.6252761413202157,1.6293558623518796,1.3816601216127296,1.4915597075081082,1.8236967872679357,1.5344327469239794,1.3936601700225149,1.6321121036219504,1.6678521381604374,1.4779717675717552,1.6277977122493794,1.8147725072635332,1.7324956089614187,1.6127731837802648,1.6882490107293808,1.5420526183838241,1.5308330723117851,1.4327694047030253,1.4143193231957243,1.4366772712013947,1.2842436499630312,1.2740003120877528,1.2746185256478333,1.2734979951534229,1.118598783160034,1.1617695817603315,1.3109392696601319,1.1274169091941157,0.9929898511345506,1.135547522043827,1.182584910305132,1.103824448538038,1.0778761307369193,1.202832360727192,1.2782373264655453,1.379420079364271,1.1752829408796903,1.079588666374949,1.1076787773246617,1.2184355888227978,1.1230125226859144,1.1701485588491616,1.1095093030201975,0.9966894010093487,1.0624853238720662,0.7859422622960592,0.7452095400351283,0.957166758078402,1.2343081764163095,1.2356772872210466,2.063649498690339,1.2413531283078618,1.2973801234070816,1.7569706614608729,1.5608799330723508,1.5929230152073852,2.003084295291418,2.5776906586395096,3.4461504856131553,4.499448588383472,5.67716203511662],[0.7337806988181975,0.624345138842369,0.5576210185632459,0.724871843481631,0.5341027763823656,0.5452794459561252,0.4693999533692222,0.5051902186510768,0.48428490085271547,0.5137968674785542,0.550127864386374,0.5678497350532687,0.553317650950834,0.5401639373313304,0.7017267869527547,0.6557830649858366,0.6634311913424716,0.7287928097380738,0.8362779776421766,0.7535834852449197,0.8316882315027343,0.7905733282670152,0.9023205278923947,1.0539867672056813,0.8139104883210889,0.8232605648010858,0.6908461350780364,0.6375312166614575,0.6578225125030194,0.6426502444779765,0.7354155185161083,0.6894245424601847,0.8645700728893447,0.7543487140556676,0.6997941367377951,0.6907986683322457,0.6691242035482613,0.6781302811089284,0.623804129369346,0.6297369122076738,0.6356078728290209,0.7865463239700522,0.7338744538842066,0.8495527243479254,1.1029765518772197,1.4406092913278774,1.4260168936067197,0.9329817191934439,0.9998398484615745,0.9330935114212604,0.9000523408978267,0.83517038424282,0.9349288005248331,0.6762033908585288,1.1391190981130013,0.7530210603734705,0.7253958037746426,0.8497741001137709,1.1115632568158254,0.9735529696283949,0.8859059868715156,0.9131389765633436,0.8944027371835227,1.0893850347741234,0.8705844831072563,0.7946990134983423,1.0300379760838119,0.9021739735170334,1.0480706249846454,0.9361258955153587,1.2004036970501566,1.6294158314470122,1.1378464526263923,1.1803839591668541,0.9099199647197562,1.6679635076746102,0.8209502870051248,0.8361114922058734,0.787469335471468,0.8028799147950447,0.7605420709165248,0.7467620621038515,1.0122782428227597,0.7609585717121885,0.6940507005412606,0.6778013582923982,0.692909125646184,0.759644391237598,0.717892969837871,0.7857545249432861,0.8016218136881719,0.9520051514325417,0.8754830982975665,0.7770839010645307,0.7414517072878515,0.811038887773684,0.8852384682599957,0.6874914378378327,0.6399250764024047,0.9292154783298291,0.6838581759658355,0.7827870354800371,0.6216562340611987,0.6818534259980343,0.6402409951306384,0.6568495667121651,0.8822566413489208,0.5753168248764505,0.6043816448851946,0.8068972959420384,0.5789598217088334,0.540990814711945,0.49870048501706316,0.5100894787690026,0.5223938959279003,0.5584845495143272,0.6017394056642588,0.6134458379744164,0.7757840931173234,0.7003368573798624,0.675067078899911,0.6173734738003387,0.6012537421721597,0.5093361876832064,0.4613991499854385,0.46916106793835244,0.550840807422635,0.5365469138392316,0.5468467314644133,0.6150622744660225,0.6247858362935054,0.6602546846730539,0.5874635262607497,0.6506812142762877,0.6269831237557904,0.6137864756010907,0.6939263923682596,0.5183802843050781,0.529498481476419,0.5602020998486981,0.8419155144076891,0.7192275677314639,0.6697529809257493,0.5924770905199164,0.5650785936122171,0.5551227287253034,0.5290462244732224,0.5495763435205273,0.5559829698851269,0.5398821964352531,0.5829758273710396,0.6445574869841106,0.9999397281079746,2.073442263505362,1.0252593121272626,0.7832839431133444,0.6177495751855947,0.6679929426654605,0.5820153386944668,0.6319343220041335,0.5761595473129223,0.5605591943651613,0.5212967236310359,0.5650728515762667,0.5847428429391824,0.6293615080885574,0.5886528102084424,0.797320252411701,0.7560912731984012,0.7712334260209106,0.5820694504856375,0.5543985883819401,0.5538228695230015,0.5741304525623837,0.5748498218470344,0.6107283464696174,0.6297471939022811,0.8680530078233278,0.6422302288597964,0.7154128997578534,0.5733080925525708,0.5691318843044096,0.571184959844242,0.5487110645151605,0.5856321507767162,0.6718174575998473,0.6674257490105199,0.9229098772308749,1.237285584053457,0.9393102354404959,0.8822323323028064,0.9788267415403259,0.7874365008084979,0.7294873353371089,0.609513286668748,0.5937592216204665,0.7190873992029292,0.6204094286511017,0.642011320359542,0.7877976639087901,0.7697298583614983,0.8821217505342984,0.7489136059270377,0.77021547183214,0.9053305302432489,0.9119479104836148,0.9901166773701039,0.9657278257319822,1.09604767241606,1.0343131465931443,1.1193938700893407,1.2240885748050163,1.2650397244071403,1.2924308665460424,1.3916112077229843,1.1651224419775787,1.4436686436976722,1.1077673539719282,1.1093329348297398,1.1816714969496314,1.1177835564742562,1.6834652102921366,1.2612768067276394,1.7367045316400405,1.0963606741060203,1.1709582529545013,1.1726519319617867,1.149662713182382,0.9711640413441555,0.9024845897671149,0.9809723182669348,0.870980009526173,0.8446796158845694,0.7905536940341353,1.0048975243838645,0.7779010492945976,0.8033603627494572,0.8384025368864472,0.703902487865031,0.7997402765285303,0.8856104061294426,1.11236324485047,1.2439280816165634,1.3521108569653182,1.4168634328672096,1.1537043274197136,1.2096760926337935,1.5477992546749582,1.3133889700804424,1.1509068948911676,1.3511261923949887,1.4016857846367947,1.2176079164817293,1.346692244860951,1.5288209272670699,1.4885046579681243,1.384391864065095,1.4401664733620076,1.3080080686346727,1.2686228873576564,1.1719804671916583,1.1481442437329095,1.1640033680973354,1.0487658787868983,1.0268475989380383,1.0278273641210287,1.0424526759181685,0.898273738248717,0.9255525600057765,1.0972955323689335,0.9428425710740233,0.8616945944670248,0.9222523758356969,1.0555078749903335,0.9607752550094065,0.957355023370052,1.0426471581264716,1.1771027040991724,1.3006535987776613,0.9975484926132958,0.9274903463758112,0.917867900007648,1.0132140175742603,0.9974963302341174,1.090152651263147,1.1057007397559135,0.9708880459389497,1.0490903603851134,0.6369759453054039,0.557605067030525,0.8023416670319615,1.0575881257178015,1.0268461702090566,1.9131412720479495,1.0497522510615764,1.098271411608472,1.638310128858371,1.4855319665622873,1.4958133838402472,1.9210940459850243,2.500359698549969,3.5658009101451746,4.541139247700682,5.770825559742751],[0.8782503529134821,0.769474102297289,0.7976174610120391,0.8424552343939544,0.7718250628361975,0.7554416518789343,0.7804805389696753,0.8530869034945107,0.8331377838551272,0.8771977742066993,0.958459533059389,1.0489587508062965,1.0093556931120664,0.9636529337846292,1.1878387888833841,1.1753162207162895,1.1315425954533669,1.2178186427118156,1.284957914241085,1.231114846475712,1.320091935466536,1.2838623287628266,1.3642581761564962,1.480601269345362,1.2652958696629169,1.2635427861239972,1.1490834375276013,1.1009486556373747,1.1625941910263926,1.1703368736238327,1.3118681659638336,1.2816906322300763,1.403975805911714,1.3572992796922425,1.2938044185948958,1.248334002844284,1.2149411728069557,1.1943012026705357,1.1434152481056514,1.1829475229656914,1.1357090392422924,1.2913254470230269,1.2174493225966738,1.339535134393271,1.5297478043953971,1.729614066745974,1.71384493555374,1.436451726390619,1.4564000836385662,1.3921223405614356,1.317811278158659,1.3426596746618369,1.534192833743764,1.2179592126209176,1.2730118269485275,1.3075439400928655,1.1915380267403273,1.4096048477384562,1.7197757376991611,1.5110453990792698,1.375436075646272,1.4422917963209563,1.4372966645052858,1.679377592819907,1.4116553166576296,1.3002220906808228,1.4408718756967815,1.3958347480893538,1.4689293899170475,1.3812476315333682,1.5954224690400285,1.9801308736653154,1.5664108230662566,1.6292157044050324,1.410738003854564,2.0039165763113256,1.370279119437729,1.4363454454222726,1.3699334302853283,1.3750616260640702,1.2894384156455754,1.1946226822043815,1.399528192796313,1.2209882020477,1.187060399384181,1.1665293065099127,1.2397110521540091,1.278064480020615,1.2979622470597196,1.3727770268726636,1.3889251520268031,1.5461229723875203,1.4709020669548067,1.3847068333386434,1.3275988192022528,1.3891835810318698,1.3846504161334832,1.2813682627651781,1.192627796133599,1.3090641848971956,1.2064595655795987,1.2194307112106422,1.1508093261618648,1.0995093254666306,1.090698204697382,1.0462371748671593,1.179286632107079,0.9964385332800959,1.0076919622207394,1.134710925801394,0.9432144198013483,0.9399129677416237,0.8830650939485987,0.8719647850473156,0.8959047573698818,0.8844563541098636,0.9820769863612955,0.9393639017300202,1.1506511425926587,1.0984096112280264,1.035037262826873,0.9638319463916682,0.8848934818335227,0.7912209251491967,0.7791632702210163,0.7838498566384099,0.8722510710399115,0.8875107461598064,0.8972887947854101,1.0005341485040056,0.9429232762851877,0.9981182442395583,0.9550008436473472,1.0436653146301396,0.9737827469851549,0.9593011496780022,0.9356942761417613,0.8238762426884907,0.7976013879175327,0.8725770647294987,1.0546508204037777,1.0504546910639632,1.041832955415267,0.964850804390872,0.9916104776615687,1.0148243632551444,0.9592811239460582,0.9840198689681988,0.9979653568170646,0.9663910718145956,1.0041981480778666,1.0556017493970644,1.3339047101692658,2.2954489208814324,1.3293570386203657,1.186401520293759,1.1030657900008334,1.111549376029836,1.0718332130994803,1.0773457594170746,0.9888712896917037,1.0489424682235071,0.9376350077424949,1.036623329227482,0.9510597054757649,0.987086825055601,0.9092206692157978,1.1124645331192906,0.9864728680332856,1.0099655279550253,0.8698596425263806,0.8984395120822476,0.9678068864195347,1.018759454056069,1.050705989747673,1.0688969210264099,1.1110571370846727,1.2810905790063276,1.1064701706947737,1.2049300554205506,1.04250077669982,1.031418118106788,1.0244810540884,0.99480135702697,1.0163549621489025,1.0872506104633963,1.1256201948598827,1.2176015312653856,1.6022497327934129,1.218444882049795,1.1577283272225867,1.344932405319893,1.0829681821671915,1.011777808202632,0.9230765499367667,0.9358849894950444,1.0669409668273986,0.940579776496327,0.9453741206996422,1.074502934514412,1.096848425838681,1.2254208359645151,1.0736716166847797,1.063374149045006,1.214849713672346,1.2195802468422738,1.2427122481232415,1.244162184104371,1.3950519881559542,1.3115203176389891,1.3734909464197056,1.5113140911415446,1.5466750192460266,1.4906245905917745,1.6377462582798792,1.3859001502267985,1.6986875261937968,1.3379117972735748,1.3715152572781275,1.4757974955553208,1.411856703516282,1.8700956928776562,1.5856015955275558,2.084276906995399,1.4501695047585235,1.4895924250489119,1.4754260997373896,1.482771077377116,1.288655355175296,1.2263067520523914,1.300942861271017,1.1742136582673188,1.1271944119931094,1.0823062833285264,1.1811911893984288,1.0139390217697497,1.0179625132318348,1.1292920195720564,1.0062124635271656,1.1528340990393915,1.24293076311534,1.4229329777887572,1.5764418070096438,1.6633394709951428,1.738673239489824,1.4862989559509634,1.5323331886061538,1.8270773245893246,1.6340697679670273,1.459985285643654,1.6604984400029676,1.7015777186331618,1.531362835160718,1.669070233323106,1.8394836108570671,1.7852496597866478,1.7074283423749546,1.773476271642455,1.6276415460452673,1.6047773328851975,1.4990197017822733,1.4857212164396882,1.4978849577793414,1.351486972136867,1.341630669411418,1.3389743230495819,1.3341862873284922,1.1874587464280093,1.2203869061773869,1.364830550668207,1.1746889824726932,1.084233074057313,1.165583363518472,1.1996511320604204,1.1306312437761623,1.1436470708812583,1.1980377176128207,1.2830573281001092,1.4457135003783672,1.131130706219919,1.1507569448222392,1.143277036916774,1.1316523220932762,1.1232070523396722,1.1872058401775405,1.2221641973760118,1.1427343343800953,1.2137051746610772,0.9254477597261022,0.821747216645863,1.0420862389780654,1.379948718404212,1.3492861131617915,2.056237652484031,1.3794982274737748,1.3930983964842,1.848071495807596,1.7044734068845653,1.6396623792014138,2.0798898432807387,2.616363258142336,3.612971341232915,4.545936179098016,5.685375288876006],[0.6734268067036537,0.613500929132685,0.6091367333696456,0.525718487083068,0.46832761747305596,0.5776079804761887,0.4161900850999494,0.47086404284055694,0.40754251555550713,0.4266715206800362,0.45116170416994295,0.526367889551847,0.4616662226515036,0.44858258333390816,0.6442463972895547,0.5999165757409849,0.583535897229911,0.6907783754844965,0.8138014586932132,0.7253913513247379,0.8164496055261028,0.7786287949173817,0.9063684173262683,1.0414082580361226,0.797628829587177,0.8078763628988443,0.6254540883802511,0.5682006792077721,0.6051487470195223,0.5901941858733666,0.7010952063963486,0.6512260428840646,0.8394288316639918,0.7377165307361467,0.666418166825862,0.6578032155782333,0.6278777803247794,0.6259367755709963,0.5767145626993105,0.5810152978813538,0.5722123944484991,0.7509185108052027,0.7116686730092979,0.8309318962072134,1.1378013784711432,1.4661508144313384,1.493036000433022,0.9478753588772876,0.9815984280349782,0.9404782932435147,0.8607217434460406,0.8124695851303271,0.8669911384236003,0.6253788635155079,1.152326543469076,0.7015307258091018,0.6873289365151308,0.8404516872044654,1.0528457377347251,0.9432639735814895,0.8671402410279547,0.8882393177755907,0.8876940495581639,1.0963150250717617,0.8720846711746001,0.7810010138063418,1.022195283525741,0.8930072342411921,1.0661463333325774,0.9225636866858483,1.1872705452028953,1.6089976009760347,1.1246142684917333,1.211897042656685,0.9054083639939191,1.7236003180061177,0.8250498998284475,0.8421369649182483,0.7776415606245972,0.7866720778905971,0.7351537683870976,0.7174280905947403,0.9920840507530746,0.7280799421444758,0.6641259601685399,0.6281901702329689,0.652446416347886,0.755195233016571,0.6896388409018939,0.7737707550236191,0.7998165851535696,0.9729855549211948,0.8892333243220687,0.7745245053159235,0.715365946743328,0.7884660552284616,0.812683127866004,0.6579833978865388,0.6243357258492122,0.924308446347455,0.6772337156115708,0.7878618973304509,0.6112986836650794,0.6790175144664292,0.6204720118062996,0.6508041099384763,0.9544982795241415,0.5994435151465313,0.6199109672128462,0.8644180519335299,0.5471805186684162,0.47932033560481435,0.42655626354686754,0.4483024112171888,0.4223687921010404,0.4689592600963891,0.5313257844055836,0.5490013845155336,0.7228838701558937,0.6357479781561552,0.5976716942410064,0.5321745909095928,0.48400145832893876,0.4005085625438905,0.3936519869367955,0.43127845075568527,0.4491054600212451,0.4222503181650014,0.4645678703696744,0.5532154181229709,0.5168284821766077,0.5905109556376862,0.48715027529480415,0.5918369228691261,0.4911208758488337,0.49183335194386363,0.7422484431327655,0.43397889037129195,0.4063701533495654,0.4804485027370337,0.7894808508505893,0.681589953239831,0.6075458319293374,0.511231715040859,0.48895754924552487,0.47421593367596426,0.43905623478086575,0.4778556728865703,0.4843919625456336,0.4908168614892404,0.5835195001650944,0.6585609514736133,1.0278790249925436,2.028797627538363,1.0282921681069765,0.7868429532224704,0.6037115096804434,0.6532336968254088,0.5351892664009437,0.6130081162832917,0.5224044597990763,0.4924678830782871,0.4508456345288857,0.5014625569976754,0.48794943287358816,0.6093670955188497,0.5497332204306836,0.8192260098643696,0.7736622356931103,0.7719531403099503,0.5534705344095135,0.4599892603488698,0.466394593911564,0.49696124717930484,0.5143550079973196,0.5699075873655566,0.5916628809230974,0.8457044560263703,0.6074329046395528,0.6816968232616327,0.5158568304589896,0.5232579211620187,0.5172784626329825,0.48771009058425335,0.5159224702244636,0.6509689666478308,0.6658093884528516,0.9293473119043608,1.2151348845169605,0.9632827230980983,0.9158776141554072,0.9158383733174608,0.7364465480763537,0.6682966521568943,0.5181878979896496,0.5230655610085012,0.6737562967092439,0.5874480598664331,0.6107915321729209,0.7423670645291425,0.8407673343575854,0.9683460330057673,0.7951840893434357,0.8623271671504331,1.0383535923481817,1.0352203278861087,1.0796501779253183,1.1285016349204497,1.289186801644549,1.1941817307312348,1.2872791636240917,1.4469838642047703,1.4779472854297224,1.430157939641509,1.5968320812811685,1.3490642895025087,1.64707082230221,1.2993667319053364,1.3071001802572733,1.4208154793697245,1.3588224987274269,1.802724315349455,1.5447027703229845,1.993996176826443,1.2703368899724459,1.3185214157267973,1.279686019624903,1.2332188813322906,1.1476534484000707,1.0352663062639211,1.0316536842431518,0.9520845521538732,0.978756694273099,0.8479769017207385,0.9590123384708361,0.8788209411637593,0.8379029424209246,0.8888646397394449,0.7341741399297979,0.8132644096126952,0.8918456210681766,1.1555242153841407,1.2624856709007686,1.4331572167611428,1.4515222897202817,1.1983173402077785,1.344034628463464,1.6401328199354603,1.4052044871671838,1.2850365207629701,1.528692869227368,1.5808513453721067,1.4081426221382025,1.5665654387007073,1.7666167369031707,1.717842475671036,1.628556183196358,1.7090343123776524,1.551086380607417,1.4953204469235248,1.338251776082241,1.320807072003063,1.4057190084920148,1.2366733779574797,1.1919348018097113,1.224527292934966,1.2321786483201975,1.0341123335968243,1.071938491542461,1.3077769858670982,1.0800726626114123,0.9459453743769791,1.075662698877029,1.2082213063550598,1.085248360029143,1.064024621888089,1.1999879160688847,1.2556391053572722,1.4563351861881595,1.1032289689504724,1.0578094863137812,1.0655871033484852,1.0630171382204856,1.0233307817042518,1.105621368556534,1.0281129411896874,0.9450553525093415,0.9001344504253224,0.607695130672106,0.5345970403704565,0.8309116167949839,1.1629086070691586,1.1429844823193085,2.007971565857501,1.1847832993217493,1.262824462176035,1.8290719655339018,1.6299385310325123,1.6341899285705643,2.1821338742412313,2.7230831842880656,3.7351206555840193,4.652096698879182,5.749514972229535],[0.648360020396319,0.5965506069261138,0.6042546205984649,0.5129675156376187,0.4479715688973592,0.5535597344989682,0.38939208928883434,0.44242079999766143,0.38214721438996646,0.39636279610816805,0.4232005376101995,0.5143609164343954,0.43405951400217974,0.42440334893287335,0.6236114528217015,0.5977119898801561,0.5971462848192292,0.697365602935386,0.8499472902818036,0.7550807135093796,0.8607570927614772,0.8286668109692841,0.9715782606587477,1.1542297280022291,0.8496779025725458,0.8582598598514545,0.6838137665638803,0.5969378640588217,0.6158931840937811,0.5947052404790487,0.6960667258895981,0.6527996214455509,0.8708454995986128,0.750222467804262,0.6736599585507391,0.6654390046421359,0.6220074829118117,0.6425114251692866,0.6007963530892565,0.5930100366781363,0.6064747135798972,0.7753106418508887,0.741374620141707,0.865893874830516,1.1974864201158273,1.4923457418369306,1.5588800080485383,1.0049473023151672,1.0209662355659297,0.9881828639955301,0.8639975423068046,0.9109712623402842,0.9467031759204754,0.6635868128445466,1.1424041881941727,0.7431655870148138,0.7441068430359494,0.8706786243370387,1.0590350193578304,1.0033735361186105,0.9417420902575302,0.9486090791325493,0.9580401385055891,1.182141545384621,0.9371109174651971,0.8288370407492904,1.0614061640821777,0.9181803827684286,1.105094660740531,0.9285947053692964,1.1975811614882137,1.6090869256706417,1.1370613067447914,1.2483526521412893,0.9390103204373675,1.782676318266038,0.8742182886332341,0.8811651617205402,0.8174384497059032,0.8154210381686732,0.7479027235239464,0.7272714947673401,0.9786774693813582,0.696807295796895,0.6536041518798167,0.6094147684293588,0.667420294300636,0.7476098524273286,0.7221599957592698,0.7815054879511103,0.8272344871831396,1.0080540769273831,0.905493020553327,0.7935914376739126,0.7133680170005746,0.771359287812433,0.7748518906620954,0.6584402772962931,0.6188047783646351,0.9132857185692693,0.6492018282520049,0.7486081222585136,0.579484717076005,0.635131418092589,0.5766494230386761,0.5824823002157694,0.8789695906155289,0.5406547481312431,0.5813182350846182,0.8098583070316353,0.5148825360941626,0.442546997638754,0.3996128318656455,0.4352082301629899,0.4235285113937686,0.47475412879488554,0.5534847935324962,0.5736549298764434,0.7831904827556482,0.6739856176418362,0.6415090835967943,0.5553186244358247,0.5117913166440191,0.40251626117208467,0.37292194674798707,0.3916530043208222,0.4409629217741994,0.412629759940777,0.44044034001987875,0.506426255676525,0.4904331349040184,0.5331136232257874,0.4490971497333693,0.5355154061080211,0.4668653655259953,0.480663547148812,0.7105614399020214,0.41172211852910856,0.4071496040939687,0.48238393722369294,0.8154672546542352,0.7190762634268731,0.6375500327462675,0.549092351706288,0.5164296401874123,0.49685413843953946,0.4592031540007111,0.46769706852383536,0.4620406199383389,0.4564118122099929,0.5557536679841438,0.6346059357763004,0.9966091159752722,2.0646454586088754,1.0428282288355777,0.7660837776986862,0.5719839543049805,0.6116578426642454,0.5041492559457006,0.5757018309305526,0.5051036613992189,0.49205315771380237,0.4658881987276689,0.5109545311648275,0.47170209490216247,0.6008703850770772,0.538262859277586,0.854754088309164,0.7729723126142062,0.7681158298712413,0.5411254817234525,0.45790767390027365,0.4557448899624641,0.4911589982107679,0.49787012018440857,0.5411170987045756,0.559568036538453,0.8025172034584863,0.5730392310676959,0.635569566080796,0.49589115375281606,0.4815104377856226,0.472971904740074,0.45663980201449406,0.49472717227119917,0.6584821637831478,0.6790797870073473,0.9021658358465157,1.2517911226594878,0.9629221874418645,0.9410300594683756,0.9865970621509023,0.7402701831761619,0.6665882230098537,0.5014408398997682,0.487680324524031,0.6194140121417194,0.5533551762951439,0.5768634125641042,0.7101359983840873,0.785919712576264,0.9152237276667583,0.7519659512565028,0.825823077148348,0.9979507025081393,1.0043152780749933,1.0750825828335524,1.1114434094760313,1.262412922743825,1.1872890223261794,1.2898560375127563,1.446010241319303,1.479309802168387,1.4411731014577533,1.612663000671572,1.3639762907912947,1.6554008243318208,1.3039362165824084,1.3030043584801396,1.4159415014909476,1.3432148035745273,1.7794308086389452,1.5215497804720073,1.95810577279897,1.230705509613665,1.2637651065760218,1.2173782882993398,1.1607470069213135,1.078201910125534,0.9783241539521702,0.9647599724378408,0.8901396201644816,0.9355291158739218,0.7948734209697933,0.9122283738327621,0.8522511052994758,0.8162669489241245,0.8377777441051889,0.6863474639971779,0.7509971079392883,0.8310352404349701,1.0968450124971754,1.2046671233194228,1.375426606639355,1.4027665363368453,1.1409284230858592,1.28618106067467,1.584367209586482,1.357181338154566,1.2350134654850824,1.484951505744269,1.5425657573846403,1.3715832064880713,1.5309138398968767,1.7380559204090755,1.70248854994408,1.6124492513227204,1.689270413512106,1.5295216621616445,1.4581989740967258,1.2901335851240205,1.2708522623931997,1.3708081854192702,1.2059306112058152,1.1445238033695797,1.1911759409193003,1.2071708659378455,1.0018896301488223,1.0389619502572527,1.2871127336418144,1.0676685475331547,0.9275856152357068,1.043371844544763,1.2053996932638147,1.0811481039403208,1.0544347876965214,1.21466229273077,1.2610397168123133,1.4760934775830328,1.1022021887565587,1.057959141376192,1.069288340184031,1.0354541446299308,1.0024087836401534,1.096882491981586,1.038218255096979,0.940054617873875,0.8703354728596341,0.5824921619656578,0.5096793887728354,0.8150613800336539,1.1339940696881998,1.1081398595030594,1.9772905363165874,1.1453453168606227,1.2397492394646688,1.8114698895382908,1.643376745405649,1.6730127418751288,2.196804323992374,2.709200392022339,3.7508286188776885,4.652482746662358,5.7841602350782475],[0.6721808536050647,0.6337565108727271,0.6559996154436788,0.5295669708649502,0.47642176086885135,0.5431498125766187,0.380493332004814,0.44435000601044233,0.3624438058651357,0.36164396814017147,0.3759113692384812,0.47437925957599464,0.38663425399935203,0.39210352623862577,0.5947238180824007,0.5537460200345301,0.5598192871564588,0.6646875709872172,0.8161624564054645,0.7231253258281081,0.8239153834916989,0.7941476938933825,0.9379132202461252,1.0973761697298896,0.8316641456535583,0.8387390444207109,0.6549270311412766,0.5704098565966084,0.5815829121018256,0.5472035149439161,0.6455443114296576,0.5977068213033903,0.7864861857748368,0.6840812225538062,0.6049646301234106,0.6189367262839376,0.5750902371653491,0.5965036033315163,0.5576773441452509,0.5481917537867929,0.5725096624592992,0.7435460800965258,0.7043882794743798,0.8546555893331425,1.2227245043131898,1.5294425670488294,1.6046819212086654,1.0207527478903218,1.019522443997755,1.00019170111103,0.8473756106336554,0.9110283241885944,0.8850097878357519,0.6266355693057674,1.1143482837518504,0.6821204408379007,0.7026687205155384,0.8318445946978316,0.9834699661689349,0.9447275662265038,0.8928446432758746,0.8872672200244797,0.8844772125867877,1.1190982712414497,0.8929193209569957,0.7901147358400894,1.0334565503508384,0.8761099578979027,1.0835593101680328,0.9069410428744021,1.1705336848651389,1.5654083552022184,1.1031081292696787,1.2223903046744846,0.8997998829684898,1.7707013429546412,0.8153096328071804,0.8063441679067144,0.7505659454760517,0.7485166450703069,0.6892065441106907,0.6872630442379322,0.9472047191760138,0.6365885680990381,0.6174540425852579,0.565454446011965,0.6194918070365072,0.6885968630829172,0.6700463782543327,0.7232038656462131,0.7662250405917878,0.9665678151280723,0.8524385054400282,0.7335322135247306,0.6601634627982207,0.7285348353572304,0.7142645886686054,0.6023704745741492,0.5743861797473541,0.8708827461144956,0.5990137896882873,0.7254674164855766,0.5326530835893424,0.6041594032518695,0.553785068732394,0.5681552934475829,0.8769224738726941,0.5485803929656189,0.5885222306041765,0.8372978813038736,0.5063137644520018,0.43209652887854744,0.38468491681394545,0.4213797317818644,0.3985212558276062,0.44601655109363203,0.527478307088006,0.5683157404899711,0.7576086231255085,0.6598249238259513,0.6226157157085058,0.5328357600956163,0.4896768201843978,0.36715600212618843,0.36508219080215654,0.39922161100772896,0.42795217012575765,0.39056076560532127,0.4235690540924605,0.47898102126083597,0.46099247862258574,0.49794344760882087,0.4278765594161502,0.505501461085561,0.4433869449051068,0.4746158676237779,0.7357695460325335,0.41844379108116897,0.41957258391023716,0.482221922662703,0.8257594913298675,0.7247527103309801,0.6222964675972226,0.5256042635427088,0.49100822365373764,0.46393878485467277,0.4261632318662935,0.42649210669506665,0.42295728148262557,0.42954450667420385,0.5537427094218508,0.61942150317247,0.9582489208266195,1.9753244679959487,1.0080113403654383,0.720655912068373,0.5417803717158631,0.5853002821686032,0.4584389060243348,0.532818110169713,0.466109400183801,0.44822650139438996,0.4410104126101638,0.4699602370768818,0.4536342961756262,0.6058811057610068,0.5490429001516487,0.88759563615605,0.8164733338217056,0.8019224325545061,0.5622294662795778,0.45270093868893674,0.419450243245344,0.4488069726952822,0.4525127759295699,0.4937701690085886,0.5168951105652564,0.7628631706062629,0.5323239951798814,0.6043775874853017,0.4600497761778088,0.4438948379630639,0.43789778577148314,0.42700739500461293,0.4804269775931298,0.637256746102102,0.656314319654862,0.8858442903759853,1.2486729410502255,0.9524201217453899,0.9597394678051853,0.9811724729876163,0.7524053293374656,0.6845201776890829,0.503505882323407,0.4861014554433445,0.6147798280619236,0.5585357482728002,0.5884984324848387,0.6842155746302544,0.8077780238981158,0.9290494403029819,0.7600915452714379,0.8602793099513254,1.0321198913420828,1.0346592119240094,1.0973369597386042,1.1588458958923762,1.3099640388416744,1.2299694598380955,1.3350760879294776,1.5042405801149425,1.5336831840845888,1.4778150403806984,1.6623365924845046,1.4223731117881615,1.710666755026936,1.3736477182946234,1.3647417658097623,1.4834145287951752,1.410909777760596,1.804532803606433,1.6034440280419076,2.008160613804903,1.2748338188133594,1.2910896168913408,1.2374943991347236,1.1750676992176765,1.13739982008334,1.0284316405055778,0.9780444677033818,0.9344718381759749,1.0021842255098186,0.8416485408635738,0.9203789645683669,0.9362575959267663,0.8824670646848873,0.8823918563191901,0.7262072837609567,0.7535889857508931,0.8145434258288028,1.0901708403100325,1.1805918613938169,1.3562823701305677,1.3686341409784195,1.1352208893207774,1.297571026672358,1.5611238544302144,1.3539669318510374,1.2507187905120665,1.5048575838037423,1.5622108762566707,1.4074312779266716,1.5710351802148779,1.7758359585560557,1.750718653169768,1.6651864711534041,1.7429657708973074,1.5865910529839273,1.5045895518119123,1.3254025074162386,1.3107482389421126,1.4290730982543767,1.2579110014752863,1.1885085188929245,1.2506981026851778,1.2661675560396428,1.0555574260713725,1.0960645560583508,1.3660645820939652,1.1334503607602535,1.0000552122613373,1.1297287705977672,1.2973913049269785,1.1520275525628902,1.1154406092295868,1.2860460749103553,1.310764744429059,1.5546275030321905,1.1530899730287651,1.1125796315275194,1.1319697001977893,1.058906781838531,1.0261285383614442,1.1191016585564704,1.0440020521644389,0.9589662832314254,0.8396325414721156,0.586242514393079,0.5256922771749779,0.8070787852896273,1.160545375318633,1.1225138562951245,1.9573656837553082,1.183259397801309,1.277894754671368,1.871874772749171,1.709947744692558,1.7430656169876662,2.3167482267988,2.803622614160956,3.850404905629324,4.681639879744769,5.7389901905698055],[0.6575193461169082,0.6446153372027336,0.6613637545071724,0.5615520651226674,0.5154661031913254,0.5678738628618134,0.42633883056284516,0.5056433590639526,0.41361264574176304,0.39757680546640894,0.42288609426124074,0.5016057394166633,0.41875919549717633,0.4385171492504993,0.6205228114748813,0.567692288795614,0.5813133921978524,0.6829508928939481,0.821473236234986,0.7257501708949798,0.8278581809144541,0.7934827073196732,0.9237666589485456,1.0814563289259278,0.8338333223819526,0.8373309069869433,0.6761828634838877,0.5907997878080873,0.5931681343175874,0.5594461837596844,0.6717604902144805,0.6009599202506948,0.747236440552907,0.6739168277594172,0.6096443138199176,0.6217236691730916,0.5682031560994663,0.5965704361700341,0.5566737203695482,0.5484779325329747,0.5850579671852468,0.7672170328521911,0.7211407822799948,0.8846060578994933,1.273115907927658,1.5902689660812726,1.658270026661643,1.0513397795828132,1.0502251160654101,1.0494678363676315,0.8793592723790737,0.893230474911334,0.8995991931876086,0.6311502203896828,1.0966610449884415,0.6609719577079793,0.6978534420232468,0.8328982465720776,0.9663484402220761,0.9557280435485902,0.8875753820213855,0.9014436061836568,0.8821510986222997,1.1212964355669643,0.889415433976697,0.7938878063841884,1.0352622568893153,0.8877760430486105,1.0910547099120578,0.9225474085891906,1.1855246303713656,1.556334879068113,1.1117704164124917,1.230710385914046,0.9063449823351317,1.7558390893948952,0.8119206672168566,0.7955797517502609,0.7325728462269068,0.721613664639444,0.6808741085266067,0.6911385879675422,0.9487809795912611,0.6249207637511826,0.6070161310738523,0.5657648940656415,0.6104556616253418,0.6690675853549383,0.6626852868939412,0.7165436556034426,0.7624764137184415,0.9731576733644693,0.8611970576185852,0.7341805094577452,0.673561376135189,0.7456590207604239,0.728210818711925,0.6027221286573646,0.5768043406103635,0.8538935164795692,0.606751354369279,0.7559125989323441,0.5472704119917794,0.6334605119424624,0.6282679645612949,0.6515679449469678,0.9682220099318587,0.6521620531720098,0.6863896658482512,0.8995785385241858,0.5954058609594131,0.4807811777111354,0.424277399483192,0.4447635602393965,0.43813892412231725,0.46735886668944177,0.5532255217656555,0.5898892036786991,0.7564104495050462,0.6856798890937602,0.6275975189793124,0.5499400378040198,0.5343069257571641,0.4170260090520388,0.40593534142331894,0.42273101761552345,0.4644906900107353,0.4419250423604766,0.4798704949369107,0.5555638709722,0.5566365421401416,0.583384553595619,0.5147368416777908,0.6025675602058558,0.5169166031499207,0.5514614730744782,0.769714586890488,0.48087045237302417,0.46747789440866794,0.5024590653913907,0.8598723315408253,0.7626764524315733,0.6318974513409058,0.5334154749642168,0.5071844087550385,0.4756415859425864,0.44716908671936006,0.4583575445042485,0.46819611428785135,0.4843367714283294,0.6165155882464475,0.6524435807993316,0.971915070928315,1.9002223064896628,0.9737225126769882,0.7316699527782713,0.5680910003319186,0.6347822038207772,0.49731841493779827,0.5747526563559767,0.49264256744062496,0.46987968437991745,0.4614243563715071,0.4768667923745582,0.5123531237565767,0.6232543990473881,0.5947854684955265,0.9319505609454932,0.8682658384731177,0.8561123383178628,0.6134384631955908,0.5004489251230215,0.48185406281041826,0.4830633744086229,0.4656504540043151,0.5295235231631547,0.5343823188369289,0.7500476092105588,0.5337034322168378,0.6293806364405794,0.4928485771916609,0.5110207310091333,0.5189182530737673,0.507712847464582,0.5335456706817928,0.6526935220381348,0.6827898936666006,0.8916863242834526,1.3040892764846164,0.9566132724589641,0.986832149107828,0.9970520243595624,0.7940918472813887,0.7531123445167842,0.5988671828046777,0.6132523454627856,0.7041060990031326,0.6861776030783979,0.7297430785587932,0.774796837632869,0.9451303496162582,1.042732340720594,0.8769799444898092,0.994892085663851,1.1652486359632312,1.1526691873928285,1.2053563438441939,1.2924351516750612,1.4439639269963862,1.344300166093781,1.456290219327379,1.6437537286613138,1.653599633196689,1.5715419216859998,1.7803987126120335,1.5577465377655966,1.8544176395802956,1.5138791643724048,1.5084013136748908,1.645759061073657,1.5913157621596137,1.9616350278759083,1.8085120494934184,2.1661293821950958,1.4460393181710465,1.4588811094751997,1.3903258802028542,1.3062015476583422,1.306634360476288,1.1963214461325258,1.1319173643331268,1.1055118771177832,1.1845303049312572,0.9968166562049677,0.9696985783288787,1.0972211504312932,1.0086091585325254,0.9902345206223205,0.8732575636093233,0.8561334426640016,0.9202611502552428,1.1937259980947448,1.2457593532700908,1.4451089611528312,1.420635113986092,1.2195483329073378,1.411970491105283,1.6329052860224484,1.432323488482722,1.361603141281499,1.629042123790623,1.6765715354612452,1.5363860844780075,1.7234969349256435,1.9249822296275778,1.8996417367724279,1.8112083231550813,1.9076133062581317,1.746732821778059,1.6643213048954753,1.4726143666532847,1.4696246309748835,1.6023714817736436,1.4076276778575814,1.3394877513838963,1.4185851804591214,1.4261768643303756,1.206005596607578,1.261731831390507,1.5292197048005793,1.2666856474369148,1.1197621888950882,1.2759791587202458,1.3959026656808684,1.2500399514859986,1.2243852055028974,1.3745573959869295,1.3671439223757893,1.6705612458163772,1.2362082549440239,1.2426976479720786,1.2806122110558167,1.1173375670230488,1.0984409920723286,1.1721797266235978,1.105103138187295,1.0554508650170178,0.9292193088020566,0.7088202005062536,0.6199358219621233,0.8972316793421401,1.2421209391366417,1.214732829203777,2.0014824371330984,1.2891448225197844,1.3941476847889924,1.993702243748648,1.8057694041826027,1.840371986403693,2.4742062065521044,2.9411429445932757,3.967879837270077,4.754780025469594,5.721875820761754],[0.6222565803300073,0.5993016986001339,0.5814404964350828,0.5071346280009106,0.46696719743970044,0.49861471665288687,0.3558575002748635,0.40744307179950623,0.35843066361415565,0.39887972502821156,0.4375185862244248,0.4733702173544698,0.4254833891990618,0.457068728513853,0.5986787438542637,0.5573892253410986,0.5897634842004023,0.7029588280898907,0.8635010195368592,0.7582307735253525,0.8620728795043179,0.8361775324545461,0.9590887354875457,1.1337901369900283,0.9000613170401329,0.9075463183932185,0.7248705421511249,0.6299223984513682,0.6216370555944296,0.5610239233608408,0.6641061450269323,0.5930334140627691,0.7365419932523234,0.6684037508997274,0.5937563106691938,0.6378983074548202,0.5816789709157717,0.6312982908302082,0.6186362624610081,0.6022257418186346,0.6294043393012057,0.8137210745009169,0.7896242719064571,0.9577341295298553,1.36010552589267,1.6477900208473166,1.757113920542572,1.136929310282954,1.1038737232121036,1.1295815040410715,0.956515589285505,0.9698045593689235,0.9527272851985169,0.693687624069449,1.1293746580918105,0.727418769966943,0.7502978059865199,0.933597791316664,0.9726492724363459,0.9935430381054656,0.9401461301887857,0.9039567365138719,0.8965862937738395,1.1016904012612705,0.9317835526193253,0.8218850901229303,1.0591140766111322,0.8941314552446571,1.1043330113056418,0.9330685962844116,1.161001607020786,1.484730918366568,1.114119214422599,1.2588515857895177,0.9162349442326427,1.7815962704854664,0.8285160435002435,0.8023116932613826,0.7496231116462397,0.7511484239763871,0.687456320272796,0.7105720189054134,0.9195139496793409,0.5965509039457763,0.6634140929461715,0.5812641836820261,0.661798389352096,0.6882911194708274,0.6851563629280453,0.7172546276796774,0.7734037582957964,0.9608351395309723,0.8466848817579957,0.7174177735785243,0.6580787317220548,0.7172881390222154,0.6685140682384699,0.5954333436882046,0.5394511600232732,0.7982948245120489,0.5534961472030755,0.6755371946664642,0.4784578991608408,0.5802243881158199,0.555827016528267,0.5876471145056029,0.8942029983686827,0.5054990320250412,0.5340831121227839,0.8063376421951696,0.4855730198641675,0.39929221226222333,0.36799445117431595,0.43770919318620843,0.45148291315581957,0.49334325522305456,0.5952154435978336,0.653157364492921,0.8028331792484925,0.7078510326581942,0.6672270485909807,0.5954497869518477,0.5793851387169672,0.4548459740285356,0.4393887932494083,0.4431336735640179,0.3984075534014014,0.41751375058155227,0.41281793230217223,0.4781209804598509,0.46059590822171254,0.481662241182718,0.42156672727936495,0.5235743489222918,0.42422083713313,0.48681286293650106,0.6976589666856496,0.44670223691287114,0.45775042084103107,0.5202518376390827,0.8913010334754506,0.8269410723209423,0.6915148443104431,0.5774727241429336,0.543047522544172,0.5212752771475962,0.47359969031244076,0.44536436932862283,0.4216437239845761,0.4231908987814508,0.5236414603607339,0.5670004918923037,0.9007980618891472,1.8576289765556173,0.9906788683852878,0.6633300824371992,0.4867579085105358,0.5415911952205483,0.43875240396079773,0.5270078994385354,0.4882257600601832,0.47240548890228967,0.4902878839546526,0.5182202257110317,0.48351812326580607,0.6402956317406647,0.5705884121041694,0.9654897215183206,0.8341661621307477,0.8283240363202099,0.5808028862011715,0.49628871407676184,0.48538991857402036,0.4638531880539255,0.47287887403855555,0.5028703123075245,0.5127549055182912,0.7226304749923597,0.5403791545796591,0.5945587566053339,0.49582603627608224,0.4530413818634624,0.4607516764570227,0.43175978114482966,0.5006905829662897,0.711693574446603,0.7749889132425765,0.9681728297375078,1.3348437649073277,1.0392924890157218,1.0686419421043614,0.9818648540438994,0.7674988153412624,0.7075385421061229,0.5313885925288833,0.5312305491513474,0.5936443862140257,0.581006856982723,0.6194205952592142,0.7113828794137966,0.7959290488142541,0.9025210680637489,0.7656582069485719,0.858108898834252,1.0108916058185253,1.0206402160771584,1.095321239908499,1.1514317267248122,1.2817308497200215,1.215377999935362,1.3151833997140296,1.4892627227147228,1.523446235679546,1.4556454265947174,1.654436454869536,1.4462829885593589,1.7101971926055581,1.3864350148269944,1.3530751353703454,1.470973020196063,1.4148604975582155,1.7783818972535983,1.6112010061401068,1.9345117251392492,1.2323706268191414,1.2326114715614687,1.1550050044151126,1.0853224917387505,1.1288174088991274,1.0096372855553055,0.9504753563440178,0.949090416383444,1.0419019093847723,0.8556394649841865,0.856661178864755,1.0156888114137157,0.9225987570720118,0.8999098508590516,0.7476542097854277,0.7190039075571867,0.7812971563402207,1.0245691497232199,1.100571086515957,1.2660868375658867,1.287140674228631,1.0803631293457598,1.2135720742643967,1.4459818624461884,1.2802535591226187,1.212165054375833,1.4555155068164807,1.5234678757782687,1.3917401054176888,1.5264842938186212,1.7287085025981601,1.734934580616526,1.6289182496271077,1.700855458609095,1.55185584628012,1.4492876301175979,1.2756920982546733,1.265454743998998,1.3917664915331154,1.2355609292265843,1.1562823984665875,1.2346893435808834,1.2507590693629427,1.0442392625803436,1.1033603055315901,1.3861625434560343,1.13812493273921,1.019864028921177,1.117721349889295,1.2764505897973852,1.1276414666278722,1.11673057858084,1.2540204551946184,1.2637437640769178,1.561454865227043,1.1253594512090208,1.1319440826617087,1.1794999299116253,1.0210105293763934,1.0000959755542702,1.0963331192065089,1.049886363272297,0.9686243665942093,0.8510125720546285,0.6198360162788646,0.5554019809416254,0.8348591989063415,1.1426400712741458,1.1103381235614325,1.8763522269699613,1.2312830911704316,1.3198616994456447,1.9457685964013607,1.8796637747447722,1.903289361057936,2.520827519606396,2.9447459083884127,4.044332740798368,4.738683356632098,5.747407113347415],[0.6389197580245524,0.6941185382875934,0.6712045805057685,0.6551872286034386,0.5967132408172943,0.5745162036616588,0.5066232200783625,0.5594242816792198,0.5350692820844852,0.5402861379835363,0.5486109348197883,0.5842671082775425,0.541839662937403,0.5410163611792308,0.6580869726911577,0.6181173547987103,0.6128905704838351,0.6765949466826512,0.8022470524500467,0.7309447739053737,0.7950132825387207,0.7753463009535072,0.9102565037399957,1.009690224521661,0.836454061601398,0.8288041029322194,0.7090070469724641,0.6432887413505736,0.6241346051293342,0.6228019286183463,0.6674995140490665,0.6769683720513967,0.7916123535249387,0.714723430592441,0.6504936808073347,0.6546589095300985,0.6354415652272207,0.6437257098391791,0.6076152857963905,0.6031642055670653,0.6093156700465947,0.7070726620016393,0.7043794435717832,0.8225777604992294,1.2554767518307808,1.5674375356229067,1.7460967072171567,1.0132763681691037,0.9867894804263273,1.0154589794167368,0.8476226581587902,0.8888564999337429,0.8041674063708198,0.636671780348584,1.0876645639810567,0.6938290804191346,0.7625573592645972,0.8322136647615751,0.914964447098451,1.0246635628427652,0.9262371976769563,0.8572945485297844,0.8589736485489945,1.0135831897888556,0.8863992622805107,0.7931488089273353,1.0275617743077294,0.852105403620444,1.0398145003041401,0.9079585568111622,1.0916160885936186,1.418110270449097,1.0731534732551968,1.1948133694525669,0.8897281120366431,1.7408980686168052,0.81947589125882,0.784242623950631,0.7574890384253581,0.7384295002885661,0.693705368255411,0.746673528396636,0.9957170886674382,0.6658813719975445,0.6501449995856468,0.6048914431807833,0.6568896458809619,0.7584049942673828,0.6848669050122452,0.7652070270372808,0.7708053446845402,0.9255269778425912,0.8310062447664435,0.7527563309109466,0.7092514511453366,0.7761553077683602,0.708527779517262,0.7007245230075342,0.655852956463103,0.9023652755624222,0.6947781354629102,0.8049114153156657,0.6086426475476787,0.7011300598835403,0.7106685777493373,0.6805222751991025,0.959578523889713,0.6319141667366096,0.6515443297204011,0.8265155709319166,0.6153167017897805,0.5389101246326886,0.5099301255452358,0.5252092797485256,0.5159744793609928,0.5508918998289585,0.6239583909563071,0.6856394394043483,0.7879147880057678,0.6981697141810422,0.6698580092324649,0.6203130145211363,0.5975206460134506,0.5482954050341352,0.5194763647426658,0.5435034022055856,0.528400296427142,0.5536224208380963,0.5608028297880293,0.6256751937075541,0.6021340327115398,0.6399381930303827,0.534353030861837,0.6017877920457163,0.5322113167652641,0.6061033887110725,0.7584525185359142,0.5184223027133166,0.5304521800751649,0.5916530529999829,0.9149081236674954,0.8325021208081851,0.67420311346635,0.5887399756615159,0.5822462726948319,0.5855738848255241,0.5509354010339464,0.5867781095841685,0.5496375242530386,0.5456477693812732,0.6140033790503769,0.6572425527742574,0.9681634563299957,1.8824190585577543,1.0407001462316416,0.7807384516201645,0.6348521474188645,0.6796840660514675,0.5813618307225893,0.6221177525521128,0.5614356329599243,0.5757682013359323,0.5487439181550575,0.5636020474266077,0.6045762269122187,0.7397703576316987,0.6219365763626608,0.957353852734262,0.8812714434061516,0.8365026680398857,0.6243739178707252,0.5326448863819518,0.5446818433026753,0.5476959680397736,0.5605353243987867,0.6206268338279338,0.6127413596431689,0.7953701447615145,0.6142633483741942,0.6421809715600784,0.5484413400329018,0.5595508510969326,0.5599606466227285,0.5561182889278207,0.5667225762278891,0.6922369100999782,0.7540877982661239,0.9177558946489,1.2008678272577493,1.071688676114284,1.0806923723579882,0.9315812353176751,0.8093466595829706,0.7733331350008342,0.6095687327907183,0.5915628341972524,0.5903235645782264,0.6787699137321098,0.6738713700554925,0.7824849134633226,0.8066709424610612,0.8961891910402389,0.7886352024042386,0.8498416829908392,1.0108885293805068,1.0253740786460768,1.0632094729923594,1.1339343002734485,1.2743996749217155,1.1935830470687694,1.284432114633503,1.4718235977759706,1.5067888226400412,1.4137296117864298,1.630468306802619,1.43014085060098,1.688877270373669,1.383209541459633,1.3472158769483618,1.4714152182829472,1.4361259062069618,1.8016721788192098,1.6294000679997922,1.8840849520055725,1.2435987653486695,1.23335629311366,1.1770598707826812,1.0943948245623139,1.1590421717389916,1.0127005225922046,0.9672186733036776,0.9719379064455372,1.0722587486223296,0.8905427159603656,0.8601033957069236,1.0332997290248962,0.9417758215844027,0.8397209412355715,0.7648226455873174,0.7778815795004105,0.8081937069204445,1.0334337786836525,1.1000976605440405,1.2446502258532441,1.2612501578810604,1.0937721102565332,1.2099021639845156,1.4057173255816315,1.2752209111019126,1.218680876030448,1.4585080267236454,1.5269731427436464,1.395094753964082,1.5195659965489903,1.7225105977149042,1.7354884555056176,1.6176758345677038,1.6921226557328632,1.5440239309469903,1.445554225069969,1.2786163740842766,1.2737460732590673,1.3999057784861042,1.2286563178864671,1.1547202315394476,1.2412159322585827,1.251217606951763,1.0439618817045313,1.1262880013751047,1.4261809088766029,1.1445612052644842,1.0294610408299567,1.1525861922069893,1.2941794433221223,1.1648648448914813,1.127346801989082,1.2865217623288983,1.2942978690457214,1.5607227136059842,1.1172820918990503,1.1285698186598936,1.1892033052213453,1.0035615769367283,0.9807457890591972,1.0828439260327134,1.0181442776953613,0.9828206337878606,0.9134370614380053,0.702154694103705,0.6722029945376354,0.8873644968995597,1.0902756441098995,1.104826551556059,1.8650101331910365,1.2503684501476346,1.365645665076221,2.034724893564281,2.025478887121547,1.9956077833282375,2.66833234776355,3.0729122536021167,4.179278751792376,4.793385254249449,5.715147410343715],[0.873458422316221,0.8829780293305975,0.8544816756059249,0.7834913978510768,0.9046464575199618,0.909758761226374,0.8743125044285742,0.9450654419847577,0.9319327456764379,0.9203470817179938,0.9372139335364615,0.9523249482341715,0.9291665286152989,0.9282615651391145,0.9615392322886418,0.9467228596793229,0.9287423583994232,1.0002371938466046,1.0582035167586272,1.041613358142061,1.021035937058811,1.0222261261882484,1.1403119943624793,1.2640612581416624,1.0822355219492361,1.0713631270057933,1.0334078183425748,0.9970911160137174,0.9629740691937072,0.9444845737369463,0.9531179706184614,0.980918358564874,1.0482494919398846,0.9850665826231002,0.9590831685993934,0.9653204450294791,0.9756714814104773,0.9770571239051865,0.964480555494773,0.9713399105396646,0.9626885198888185,1.0159666778307241,1.0227973327573079,1.0718981211704426,1.419685978679754,1.6981765257367019,1.9026532608983713,1.2256107084390235,1.1960491767854584,1.2725505824233878,1.1829681758785633,1.0907656283342444,1.0432970937198085,0.9999054872813168,1.403537883507561,1.007130064073709,1.0801663429668307,1.121625272082211,1.044275415702584,1.2198601729534793,1.1330198208160598,1.0691730038386442,1.0464982175874793,1.2027727135689525,1.116022643627233,1.047284060585035,1.2496855387252737,1.1146964662304244,1.2395950724480325,1.1275864253879708,1.2512261403040552,1.4390140422657987,1.202341157733839,1.3526363799022079,1.0779159044169078,1.6769020216776989,1.0586473304044413,1.00929147049425,1.0062862923644305,0.9973983256712418,1.0392127223749896,1.0992959960544704,1.2575807836083275,0.9745377700653236,1.054970331528577,1.0008107693020185,1.0000226224653268,1.0105947661410626,0.9764626197327628,1.0450761159799362,1.020754683617037,1.0013122693951968,1.004088883301993,0.9971091972624377,0.9701197953783842,0.9970838934446611,0.9980597284115286,0.9933975703465191,1.0079221917010666,1.1429445596293013,0.9668408383187472,1.0658192683621983,0.9629561700590262,1.0456476131740093,1.042238568062601,1.0742300855818283,1.216811454828287,0.9123073296913864,0.8860839641954917,1.0777182774879814,0.9471217664472885,0.9086098548086404,0.8680319564041241,0.9233026683724069,0.9105772234659156,0.9275566809719413,1.0027712028408062,1.0331253891492538,1.103279954477068,1.0375073709686744,1.010245928474783,0.9832154870514692,0.9705734940344293,0.9121867748456781,0.9055071238841353,0.9081266623018954,0.8778936992745325,0.8817892398838665,0.8707745859910753,0.9385654517155779,0.9078679594707635,0.9166453438259934,0.8656039028707805,0.9824224960216634,0.8733557307799215,0.9059869928846466,0.9792384317726125,0.896105773385426,0.908736206735198,0.9649039287047612,1.190243246695293,1.148074119320064,1.024582466127588,0.9564085479318095,0.950765611260405,0.9410380117820126,0.9168170962494355,0.9267124967550093,0.9124489402634948,0.9462905597021498,0.9886033874422495,1.0168059818359947,1.2200899359120299,1.896173144640847,1.336652406785287,1.0902924621851797,0.959183650594754,0.973792818194864,0.9483095318705748,0.997037529280928,0.9361044506545134,0.9341350350490882,0.9396816486820144,0.9438210751847488,0.9779448801661095,1.0473024672213624,0.9591413468240835,1.2280919268716608,1.1401864767470573,1.0891829061383949,0.9491870010152056,0.9213349699896796,0.9244347351606339,0.906462537280093,0.9332560763264222,0.9941159094423613,0.9724087298253336,1.1159488005105056,0.9695138009223223,0.9985906122810386,0.949106258856385,0.9435066853339148,0.9395989041601115,0.9001929629258433,0.9119230701637812,1.0428660242158616,1.0925600629353303,1.2099711673061246,1.41677493234742,1.2869069030888545,1.3376167388574953,1.2154408604779723,1.1008718527312482,1.064434139074849,0.9379749603973041,0.9292611949740593,0.9160904602261353,0.9962706364371703,0.9963676983833641,1.0858111350729291,1.1043151703764915,1.1805130224039437,1.1080327477034935,1.1471500169981663,1.2513178405416299,1.2775187188072687,1.320833119085339,1.3571456161357847,1.4713905233504165,1.4446155456006824,1.5152038829547878,1.6691274346501581,1.720434764404632,1.6612228965099984,1.8254745100546825,1.6282090648080094,1.8404756261675654,1.5093322020275841,1.5075296041145432,1.6026073782463057,1.5544861067250233,1.8817989411384797,1.7172620810332322,1.9361606932917443,1.4028906908123908,1.3892573501825916,1.3365820562657296,1.24483591364402,1.3379892734642047,1.228396725712783,1.1815117331786127,1.2212032660793615,1.2939163743597943,1.1328646063421044,1.1027332003682802,1.3052252878952963,1.1802933285220236,1.121055917099703,1.0526464225869243,1.0383991659979146,1.0829407005098615,1.218355583641595,1.2681907271717991,1.3879266197745252,1.4625910078505393,1.2766058264939568,1.3697045821458487,1.576883939319408,1.4453174815661856,1.418250845487909,1.6139181895587045,1.6909429513701735,1.58871211934085,1.6672257425637387,1.840583815458372,1.890836646464956,1.7603201572174936,1.8064457541444707,1.6778090312318943,1.5621073472534404,1.434562921249126,1.4248008166190973,1.5233850097080772,1.4195071995750135,1.3441326515598553,1.4003647338492613,1.4077547773789671,1.2481743463664472,1.2843535041300567,1.5287196176905606,1.2898571941690153,1.226093975682611,1.2656633689417283,1.4184316402874206,1.2703504443366522,1.237868944410436,1.3646718789540841,1.3499861540926967,1.6328800945578543,1.2611968658253299,1.3316518922707596,1.4289550054640803,1.17116335047804,1.1446330004938299,1.193339914522571,1.1678539011412268,1.1592864868952841,1.0792636213720097,1.008948232514707,0.9983602826881277,1.2465028171128036,1.3886191603598441,1.3677753843856597,2.001104707027269,1.5484747914803734,1.610772350553363,2.1579033979125906,2.236293147221027,2.2932712520845158,2.84452647862943,3.1333456415150795,4.176323427629422,4.699655245662585,5.666612046998713],[0.9996265912354442,0.9083444030215299,0.847949634834755,0.6840222388489899,0.6313550707470202,0.6157916795587863,0.49227572894807753,0.5636385795620477,0.48012132611511765,0.45470738764897817,0.46258044445509544,0.5305657788829987,0.45902617489422315,0.4818554587467128,0.5663455569928744,0.5280171652511111,0.5585896376226307,0.6402082313434859,0.7674636041149595,0.6852566928822913,0.7585328465209122,0.7566104341489948,0.8900336360295981,1.0210498125296807,0.8313529360150853,0.8159879428254221,0.6785078468518974,0.5972588500669261,0.5856883260816427,0.5375054545538065,0.6178664934719255,0.564077774726913,0.651609158367601,0.5894328964548784,0.5459355620091494,0.589530759547493,0.5406990646162357,0.577907355909976,0.586028770566925,0.589547506633883,0.6058371086309401,0.7453587197042083,0.7485644058074218,0.9521004378125313,1.4014046288763684,1.696940518294137,1.8914882354773184,1.176664240030927,1.128194403041099,1.2350855339723463,1.0103782176723695,0.9965030224706697,0.9295619338583647,0.677491094327003,1.0439472986171552,0.7115236434664356,0.728070706093479,0.9293191461769615,0.9219840470247744,1.002955869812797,0.8701004301728202,0.8280289650985221,0.8130876905013552,0.9978809767823225,0.8338060051781548,0.7438813637442208,0.9894747789464061,0.7745186962583535,0.9923881533382428,0.8359398439832709,1.0303098040912433,1.316904615009858,0.9855630026118042,1.182849662810419,0.7876279948721255,1.662550284447497,0.7026881415720136,0.6721852425649851,0.617570462377716,0.6541181692847031,0.6125936021736778,0.6795509962179221,0.9487019477704354,0.6058744823982333,0.6878842660080196,0.5825439078071863,0.6032726847107887,0.6442502625866251,0.6002938395318561,0.6336532865391108,0.6731020704775845,0.8853993161402981,0.7759470934017687,0.6227297738922917,0.5899363683993651,0.6513851553911447,0.6324229726925281,0.5751304909646517,0.5667719510659732,0.8238522636274604,0.5759006847487429,0.7734341951605576,0.5388633309100191,0.6350414463047782,0.663060365571618,0.7456961271183359,1.058354533506879,0.7155386730222819,0.7324284795017119,0.9721697016698975,0.7030587420546367,0.5527527459108221,0.470080862634883,0.521080317202145,0.4977458735407142,0.5121248270129067,0.5927075389667793,0.6550388197988608,0.7786176221283131,0.6678414222912636,0.6464945557536593,0.5951299438141772,0.5754627853723301,0.4746551033622476,0.5010816710112878,0.5147375694315175,0.5576442176480727,0.5397484042964444,0.5566318606171897,0.6021417228951198,0.57818109217559,0.6216535987647552,0.5619325802693357,0.6310763168206303,0.5269266490127651,0.5920357185872192,0.7631000696707116,0.52523176537759,0.5095214750509178,0.562920480963219,0.8871943446232093,0.8756974828907217,0.6585789749104302,0.5735196824107012,0.5384728470771217,0.5304769086271278,0.49556251522591527,0.4967346634164816,0.48770749959422105,0.5353568543125422,0.669113424648371,0.6824547225279601,0.9650240003099159,1.6584889358133421,1.0695102397776768,0.7141452290246543,0.5511844088395348,0.6124416991351301,0.5114793010087261,0.5896352841566807,0.5328812492420006,0.49751111527500097,0.5143403079654272,0.5318769840186899,0.5581898632557761,0.6676054088026502,0.6700811709035424,1.069555610766982,0.9541798207738833,0.9032472108160519,0.6601730222918213,0.5506905866965461,0.5314044590489145,0.5194131110184079,0.5122434875331783,0.5605719467468829,0.5539096640016121,0.7291060046154202,0.566671143411309,0.640450264301901,0.5549314716518492,0.5640305261221451,0.581555069578738,0.5669666489898616,0.5714455406411051,0.7471592523130857,0.7975568470712195,0.9564685586312678,1.3774062737490287,1.0860961416521329,1.1733945570027835,1.0360165668532897,0.8288397459121758,0.8047761044957975,0.6505422421053842,0.7038254666422623,0.7265667392152041,0.7663846849336196,0.8605680377321434,0.868590193484737,1.0750997996748892,1.1510718234548938,1.006069132999489,1.1524807188081132,1.3147218785023824,1.3195475721662675,1.3647448270011338,1.4766077224847618,1.6048083014185663,1.5420587601962152,1.6579149221948115,1.8660816577633548,1.8868430586540554,1.8269810838427079,2.0469820019638796,1.8384217602026438,2.105061055345958,1.7338915690417713,1.6964991693247569,1.8378584393294282,1.777375200065856,2.1834681394416777,1.9395213653395365,2.164539026721166,1.5860105987164101,1.559954713772572,1.4409379341372728,1.3723786658870067,1.5046261601217101,1.3500525878561342,1.2353898768799778,1.3106025263301888,1.4046194821701004,1.1533463454020134,1.0152652684693315,1.3512564332627761,1.1958950061597564,1.071139962288384,1.0240749286823083,0.9154018526858253,1.0240221335302944,1.2464502150383479,1.2774976723285665,1.4813388101608254,1.4296483460998606,1.2960902914783237,1.465884161765589,1.5819551125165816,1.4569993202507048,1.4743557843508819,1.7039954526704324,1.7637779832222042,1.680942226066146,1.8176471882051775,1.9960852830718911,2.039302231411418,1.9593423167123263,2.0283027742607542,1.8975753929555255,1.7671148777778138,1.5822251843835933,1.5974556986298383,1.7466059555257796,1.5815492610947461,1.4900213600815837,1.5943982469114644,1.596291307722187,1.365981865718116,1.4508394281664194,1.7137902302334405,1.4270663317317804,1.3046371924098488,1.4102663120677263,1.5018299134382302,1.369565474877904,1.3549021762097044,1.4889529672032846,1.4382358667179098,1.8406511067971556,1.3738232995267974,1.4653535758686298,1.5664728300142836,1.262074278998042,1.190664115076009,1.21424278624387,1.1546842797322499,1.1502569619667138,0.9137734070506619,0.8156999064275634,0.7425364619821565,1.032907628931087,1.3303208637511243,1.3272331338278907,1.8236366892889981,1.5127323416322382,1.6122702214041407,2.1082292330691823,2.131299457436732,2.238794074366525,2.8504284841656378,3.1171981871293206,4.138747745200028,4.695694045918186,5.519423063880391],[0.940131518871703,0.8601141809485467,0.8482511036375534,0.630262602171556,0.6606041706329541,0.7049338287870615,0.601414288246098,0.6704745776376433,0.6086849230421889,0.574129785892156,0.5744511810145199,0.647290788184401,0.5831323734017553,0.5507701814411228,0.6702660183779373,0.6302426881298189,0.6228843808169743,0.6711982812252577,0.7380924838408408,0.6955083387247393,0.7286851529171784,0.7379362900383232,0.8429773513507545,0.9874093552356884,0.8196136570871817,0.8014306208470042,0.6825040675694438,0.624985518589554,0.6420648669685336,0.6474709951053808,0.6937245412672541,0.6903654392458946,0.7104485731765353,0.6762045485716226,0.6406318189369152,0.6641534829428869,0.6671339979309798,0.674904973560277,0.6452964644916701,0.6696089021940781,0.6659572376047308,0.8146625131758259,0.8054411411807146,1.0241633806644197,1.473910346702308,1.8069120335227267,1.9403385365151757,1.243940664702968,1.2397802778354172,1.301331812104898,1.0819425399986908,1.057816931544661,1.0164459736419489,0.7626202050810666,1.0759975241787618,0.7466406145135194,0.7307896518361846,0.9943397791026508,0.9877292848451112,0.9280318780879442,0.8502230827853123,0.8229014282177795,0.7795658961490585,0.9028825271496339,0.8127741509605932,0.7147450247930862,0.9117959196291723,0.7713252819062096,0.953783030113024,0.8223909975721888,1.0094095351453325,1.279855319435758,0.9606216787045679,1.0926110607092123,0.7933036865604556,1.586235017621566,0.6975131038377488,0.6901661782226381,0.6760867955940478,0.7065675573431902,0.7248282671192628,0.7775307815478713,1.0140511753033838,0.7076872033186814,0.7962992369220798,0.7100735388473306,0.6997430424806671,0.7234883921757392,0.6567220775254567,0.7368739552733681,0.714233665283917,0.891573042522625,0.7929012522240696,0.6829767386176107,0.6749640643171932,0.7028785124321905,0.7045368168677932,0.6608482827918609,0.6470944835894669,0.8754262755297829,0.676855867084151,0.8582582643444376,0.6776099156633959,0.7582132306851317,0.7815874317168341,0.8539277916952918,1.1402227262582758,0.7934177037123773,0.8052530026703516,1.0760432727877922,0.7937357961603725,0.6662746867794559,0.5884936789400469,0.6217982242175966,0.5868887298153863,0.5473196131627338,0.6059686145934639,0.631289976323062,0.7156422447993563,0.6554813015292847,0.6090953078969957,0.5821953413129413,0.5745342858968192,0.5193240450654384,0.5745747879705217,0.5919135692236936,0.6595932400580087,0.6305794396367439,0.6456610682463165,0.7105732756489773,0.6420909708916136,0.6803654393836711,0.6495847801184452,0.7626441413737617,0.630799675458222,0.6798032381956595,0.8221519453848591,0.6115983938647679,0.5708251408621019,0.5873724407571139,0.8846403171669952,0.8493075382721332,0.6588867470942367,0.5929894260662882,0.5775147021480896,0.585254594551257,0.5657455694391398,0.5823986822369362,0.6180999223831454,0.6369144440757092,0.7637860381047754,0.7633209411889188,1.017529250187282,1.5862327804068372,1.0878184109207378,0.7803051105789662,0.6696005309852703,0.7305500394689626,0.6466871675539212,0.7203806060224501,0.6431870289950454,0.5935183592110619,0.5825924697232834,0.6190029485331141,0.6017994246764204,0.6613867544270466,0.7137733962900573,1.0766024015853628,0.9827708157774453,0.9566901629068062,0.7081826511290277,0.6423507836586535,0.6398119458703007,0.6390615612737185,0.6474634913187785,0.6930968651420614,0.6784095678881451,0.8440386155231144,0.6990571816461666,0.783432691814913,0.6991221597883406,0.7007574757396053,0.6942793404391846,0.6810039212681139,0.6921718505705244,0.8498537608057786,0.8783591164571213,1.054810717882117,1.4893953542768668,1.090142516594054,1.1712332964922647,1.0655376975534072,0.8611699919661665,0.842677102561909,0.7119410290285755,0.762763209276426,0.7920442564285091,0.8066754777203526,0.894356097286594,0.8980337513387461,1.1058919701556793,1.1930518149969864,1.0404372678823866,1.1625398979936918,1.3106787578528671,1.3164128530019303,1.3495678780103084,1.447765080832541,1.5722132724392202,1.5087167056263886,1.5989795566483154,1.784627464947437,1.8246603630549543,1.7549621915946296,1.9347333650898193,1.7404900244393489,2.0076729937225672,1.6570061532034068,1.6395970180852253,1.7582204058201785,1.7059443107143408,2.049212316974299,1.9003655741460128,2.1935407841646386,1.553727228883656,1.5488096553657313,1.4545847397404392,1.3883518612150472,1.4754833803370904,1.351339364283678,1.2622941377895018,1.3057678641137198,1.3694317822416229,1.165941676479156,1.0677361448179852,1.3478553172795433,1.189087933515545,1.145162217474515,1.0559962424032214,0.9534668082659344,1.0702443579625398,1.2830132435466186,1.3431628600561945,1.5526641002158987,1.503447567524332,1.3612824447963034,1.4854837284363636,1.616825680818809,1.5154787745471794,1.480845960916977,1.6889541307368587,1.7461412594764651,1.654108505347662,1.774467571200043,1.9404305290705008,1.9724300404542405,1.9007772485891912,1.9639182087488438,1.84018243904806,1.731070343173335,1.5612708013122512,1.5702299118475427,1.6944069311158756,1.547375558633392,1.4776959180386344,1.5515715071972962,1.5533320947312463,1.3579493198706978,1.426041907785711,1.6716950125168704,1.4027355028337307,1.2991162623757668,1.398341481991603,1.5217188415244864,1.3648714259389587,1.3593161165618008,1.4492816069763463,1.4163044974991514,1.7691948088151848,1.3281802848319513,1.4226343151714893,1.5248316008301817,1.2250771858878822,1.1921444225655207,1.2321361301592408,1.185179447274666,1.1431646116830991,0.9193999801124435,0.8401445139411956,0.7904235423697872,1.0342426243362988,1.3818797084523753,1.3499998904757582,1.8132507422778754,1.5457868069667093,1.5912923014681994,2.0640123334831766,2.0810153581636404,2.163234448972664,2.7738014099785286,3.0799013152851815,4.039716802491266,4.63664940503938,5.410082665333445],[0.6464511187785563,0.6231445798531818,0.6009542844673905,0.46558872062106094,0.47969801128135553,0.49823871022618554,0.34529916111042386,0.42706259293501303,0.35882537917647717,0.3563800892542115,0.3753249214523528,0.43919531689779734,0.37178689526951353,0.3897311194227836,0.5270194994950688,0.46394781318211753,0.48247020558691284,0.5736561211911102,0.7045952425427842,0.6307413961783842,0.6896498407438804,0.6773374966558914,0.8271065914122475,0.9785191271724889,0.7630039812672849,0.7570050398386198,0.6036371175165959,0.5282831904189652,0.5052036504563292,0.47204201307650623,0.548241056764234,0.5119561978574493,0.5981318002861993,0.5437776857119468,0.47961475148961685,0.5196942996528754,0.4839580881426835,0.5262372096166574,0.5042486497461165,0.5033881899973315,0.5199880939295782,0.6840656979298234,0.6682431388273903,0.8596184364151057,1.3381976913438685,1.6766431819384475,1.8122166965270592,1.0828929183437728,1.0689787071650028,1.112009901895169,0.8831284188784978,0.9009672972615559,0.8338677357670682,0.5984886783907046,1.02511324963489,0.6149766174445042,0.6544522689670411,0.8237262863336163,0.8487750992651567,0.8970878634069946,0.812710321482954,0.7491260879390096,0.713345766509465,0.8854837227935005,0.7742768391917466,0.6589136919730302,0.9151912300628547,0.726524540475033,0.9470245170927885,0.793203839089861,1.0140125468016803,1.3046830012069919,0.9548037136193996,1.0771791309666296,0.7501245936611628,1.5935576490274015,0.6426869516222293,0.613394448099715,0.5807311955300071,0.5961295339074009,0.5740130018831363,0.6581182362854416,0.9138349955726957,0.5259807632807879,0.6029475255773775,0.5209595983632818,0.5483305164837581,0.5975541191075214,0.537699999050166,0.616085570011317,0.6148983359329335,0.8074232710536884,0.6997034696028982,0.5740325570221113,0.543035776164817,0.6061992619880693,0.5768820114672351,0.5142854492875374,0.4941666286805405,0.7726392659543961,0.5071444586021769,0.6907710026924362,0.46890841402315253,0.5879742691778077,0.5755110421747139,0.6096458233078955,0.9217518458327849,0.5503811219017433,0.5657413519036816,0.8613292500171782,0.5326440738439965,0.4119934235426372,0.3354310202593936,0.4168961474270898,0.39199738606837037,0.4278358570489656,0.5169312468468386,0.5814836038680435,0.7106172612006191,0.6108185693924555,0.5789341999834187,0.5041532638178231,0.5085053023010231,0.39913398234264724,0.3879825880492433,0.4247542460093109,0.4010137589334245,0.4061253229032796,0.40931599815139347,0.47353850840214146,0.46281908126037574,0.4805735024149776,0.42481557315674856,0.516638139246533,0.42591616630078577,0.501980722424476,0.7068498729175793,0.43494750557658696,0.43178781639121794,0.48394354391242833,0.844305418763055,0.7753027313076846,0.5851167389465223,0.48904682645367187,0.45464595597310054,0.4454503611856609,0.40192502816234116,0.4123636507773795,0.38197825323220386,0.41511241395154286,0.5492879195709665,0.5881106440477446,0.9051580369635464,1.713244917903032,1.0116655364649114,0.6624715080160251,0.479106681230956,0.5383183221964796,0.41907248660140983,0.5043462084404023,0.4312649069093718,0.4116719635973101,0.4208921853197301,0.4411570767343876,0.476063238821186,0.6380209403385084,0.5805563245706683,0.9593768319060281,0.8806015099692632,0.8418062332642408,0.579032330893118,0.4693050640613668,0.4405856593968814,0.4086722383940321,0.4158993168879923,0.4781821166866947,0.47264006354520277,0.6883421274739053,0.4848392010247928,0.561053558115499,0.4483764113449387,0.45566649818607463,0.45031025936906943,0.43954224476972636,0.4681521132815358,0.6632241840343889,0.714087800116201,0.9062677680694525,1.3002430565502987,1.0066148432354411,1.0663593392713555,0.9706901919683596,0.7962377809591542,0.7467466543591017,0.5449018388757031,0.5609151043050855,0.6060875649027244,0.6204318499478636,0.6536941572588942,0.7325546393665227,0.8397017901284909,0.9355985870956978,0.8045197097527801,0.9020874242064977,1.0531268880852904,1.0686962807773683,1.1357311288685934,1.1991853349636825,1.322808520849581,1.279282661837038,1.3779132776809992,1.5395018459155725,1.5936607482290444,1.5272645752694844,1.7032367521594731,1.484166769207941,1.7289901922012505,1.3986664657720909,1.3907021496599838,1.4892987953857473,1.4221140442746651,1.7323764230224685,1.5969288795534198,1.9381788421887907,1.2664139344509309,1.2512568988339923,1.1752174039820764,1.1003775052522056,1.1615437333333318,1.0473150590702964,0.9632015279003945,0.995637741686002,1.0802317068176273,0.8904166536735826,0.859440347203517,1.0802235185355238,0.9582617671898014,0.9233932327165452,0.7853658525828038,0.7525114781638795,0.7996707530835343,1.023338183287246,1.0929544646563798,1.2372277823684548,1.2757535651426097,1.0820093572207419,1.214941439801888,1.4179189400992205,1.286421581886236,1.2349231662527291,1.4564839253271384,1.5240854145317748,1.4219406027943668,1.5354421732130714,1.7203195242297,1.7572222988930033,1.6575324603694888,1.7108434032241482,1.5728032355828176,1.4601188145735697,1.289756317987152,1.2784992630462655,1.4081155364485323,1.2722377088557026,1.1869764671877683,1.2638413147425656,1.279603512424596,1.083833294083002,1.1402535987017617,1.4174863279870071,1.163332005285805,1.0504145948040553,1.152766821418322,1.3297424509265705,1.169751309042828,1.1486275519726608,1.2918212704471668,1.2997413422625617,1.5606817634991543,1.1635285064414926,1.1842005577647154,1.2602592410154991,1.0589812629203879,1.0303101379955037,1.1271663634826516,1.0630516752515957,0.9905185689628709,0.8300825828303371,0.6496932388778983,0.5802971544633673,0.8775320247870001,1.191509878831897,1.1503774799276894,1.8213503528445265,1.3278377323071566,1.3949687650475249,1.9824164775825204,2.0270120809155947,2.0828661734691485,2.6719744744795473,3.0239599525743497,4.1183545059630315,4.694906954912908,5.628947239612661],[0.5972351282052917,0.5775696866778084,0.5712491826723536,0.4950380176921202,0.4371313878132073,0.4707831748873545,0.3177497010783217,0.3780788248813716,0.332249399997449,0.34474824685248767,0.36172652789168885,0.40106292403662724,0.3455059269117034,0.3647538594160566,0.5333642601898623,0.46215529007456085,0.4818143380664234,0.5737121206282546,0.7165218439489488,0.6358296410882285,0.7027555765470282,0.6839108898698605,0.8165945134685427,0.9451562051424971,0.7408455168309486,0.7399410458193664,0.5767350364066104,0.5012960963733997,0.49979923627718803,0.4693659097339844,0.538225700336371,0.5146957263528315,0.6160674116491028,0.561465108246157,0.4841661376799993,0.5170897183414329,0.47362179841847973,0.5110037649082638,0.47553283241123007,0.4592054287181168,0.48558473649466033,0.6484986776082827,0.6218236110737204,0.7997926599723815,1.2544966828482182,1.6119605948247433,1.706158024834126,0.9987672602496366,1.0139934896514011,1.012094735852815,0.8270300543671748,0.8175784401575533,0.7519423882121383,0.5415001358413221,1.0378855595469794,0.5954020951212258,0.6277988139321538,0.7637178774437382,0.8730683561626097,0.8610709430426542,0.8153159599742883,0.7599827055032428,0.7276087539505673,0.9279584643058362,0.7756033629827093,0.6707407269211824,0.9368742601392075,0.7596446967581424,0.9627138438298514,0.826133173252982,1.0433871496712215,1.3703720321342987,0.9923660139033849,1.0991304574230187,0.779987437839238,1.6431291990889159,0.6795999385779491,0.6408005855977085,0.5986889345865604,0.6164064562967212,0.5589074208465311,0.6079474260993043,0.8893579907993205,0.5448152022025599,0.5363742420246972,0.4748428333250954,0.5183735312678375,0.5748934765517869,0.5530620736030083,0.6140166764652748,0.6263545225638811,0.8216465832583824,0.7067968637959472,0.59984376693587,0.5592750683097196,0.6342589699012687,0.6020257416143356,0.5096830730291599,0.4820896668594322,0.7446076171621993,0.4908225215789679,0.6686906946683937,0.4401373559132899,0.540851531600193,0.5418817452599625,0.5441241937226486,0.8923770280028358,0.5079644953212723,0.5459584623109027,0.7884608833536288,0.47147159188143384,0.37577964475592596,0.3259778635500896,0.406703969676548,0.3642387535138687,0.4151859783919589,0.4824003025759333,0.5678208271927375,0.6583766032143814,0.5793008263647345,0.5525608793748821,0.4872456167590367,0.4902153665222372,0.3927640516253704,0.37244934996995,0.4138311613824807,0.3620717327588167,0.38116400223273644,0.39195852691106475,0.44767729041264487,0.43723127567341286,0.4788111419451395,0.386755560870257,0.47954048899711116,0.40372967995847264,0.4599867532033461,0.7114162368736853,0.3977294795437181,0.401265497116379,0.47662673069683287,0.8420044506941075,0.7464717940018818,0.5711676000238155,0.46092523321197176,0.426243473202216,0.42231554652024605,0.3766828174562388,0.3927929130282163,0.3451034079019322,0.3572732492848381,0.4740386480784794,0.5144659112323418,0.8517536400636048,1.771108267497035,0.9088857824937076,0.620571625244244,0.44142970890944827,0.5062719366535429,0.39003796541696184,0.4747334389036727,0.3983964819683794,0.38780728969923334,0.38426792277848587,0.402764999546857,0.427286217551851,0.602739786063366,0.5373897715320604,0.8971112803800521,0.8376662876257935,0.8184429796758947,0.5506921491097188,0.4269418064425271,0.38759255526400366,0.39105952813819705,0.38872162481579625,0.4449088491826849,0.44254517969261825,0.6816687827472389,0.4591614127756615,0.5159359222260685,0.4158973792535312,0.4017370507410018,0.401208392591898,0.40868193756633586,0.4542809130696102,0.6256916716883697,0.6524836799627706,0.8885608403589336,1.2318999222639773,0.9603324227319566,0.9908441657114305,0.8680943001210735,0.7022528531521128,0.6566000067509735,0.4744224917134267,0.487605176014673,0.5630134768017495,0.5497933531319323,0.5810002309112215,0.6784450395694497,0.7751884416788616,0.8850122054316464,0.7361340068192727,0.8256425765451356,0.9912510235071755,1.000551266092795,1.0467481317003928,1.1179328910224413,1.259298759171588,1.1840638654560576,1.2865130406572816,1.4587537357928524,1.4978192906142778,1.4231381228641107,1.616781165452399,1.3919460694602561,1.6632199451545626,1.3348968124169314,1.3211905204718355,1.4355175608544717,1.3778148600785394,1.724978053925387,1.562554890153142,1.909084148009078,1.2162127169042132,1.2232313421618077,1.1666923892641854,1.0978044623590604,1.1216957089503508,0.9991040522532745,0.9510452872680519,0.9453620883932894,1.0356806145251063,0.8516468484598034,0.8512922699471942,0.9649547486644223,0.8802321669456149,0.8592497751497682,0.7171045774684852,0.7217696422756184,0.7698471074179768,1.0224543073136685,1.104099072009159,1.261089410369159,1.279682500924673,1.0827772603647197,1.2156314158534425,1.4379604239535484,1.278547499496397,1.208020385727754,1.443448687305641,1.5100813341579482,1.3774127431886383,1.5044019966022015,1.7028631658245361,1.709453527586455,1.5987087098976993,1.6669985725656706,1.5228867595522768,1.4289036145422493,1.2642284603013618,1.2532570361853188,1.3683366001680997,1.2081678524565151,1.1365306626210692,1.209256551515942,1.2242123255703499,1.0263082063794535,1.0861813517113126,1.354152663057171,1.1051045601075764,0.983966764296305,1.1059755554946327,1.2549691131182796,1.1245165423934074,1.0966389258329274,1.2489871125966445,1.2613628235099261,1.5110258862555976,1.0919090822589725,1.0862964009347391,1.1343347472698897,0.9891448439836511,0.9787679810791459,1.0849697420085223,1.0173025736616281,0.9323502759633985,0.8416342334543638,0.5802533299107939,0.5183209666649213,0.7788414096999766,1.1223468615456715,1.0932519676050172,1.87549762222603,1.2327646087076507,1.3086601332688428,1.940030228208047,1.8785475455098462,1.8812193189846584,2.521392466498087,2.9565664949892665,4.072596343601008,4.734817505901079,5.704807815563278],[0.6692437274706969,0.6552445125707214,0.6386617986765062,0.5991798789377147,0.5231959059046414,0.579406062060672,0.48162907603999894,0.4895322116452871,0.46969070316091627,0.5168035521709456,0.5320112939583576,0.5637126874166789,0.5330954622162646,0.5484483270609806,0.6647991640539265,0.6293981442830213,0.6583426974271608,0.7419433894563928,0.8711719473145817,0.7900455888015203,0.8824490364386418,0.8701081612302818,0.9614284093117799,1.134535705398839,0.9037751303066627,0.9084564285934222,0.7638946979075527,0.684526329633287,0.6864282034543997,0.6450104204407653,0.7112769780448642,0.6567438304509811,0.7760128097598687,0.7159455534868083,0.6554425698068729,0.6960353834693243,0.6477721994458949,0.6837588827884831,0.6757945615569712,0.6437108280899324,0.6964526098951505,0.8199768796007142,0.802431301485005,0.9558492988012219,1.3983405125286483,1.7193408622661726,1.8312914817461763,1.175576216045503,1.1599185889629462,1.1891621348669255,1.0107903523550177,1.0454879815588325,0.9901327860361558,0.7446790346844727,1.1311492102003207,0.7803924021519563,0.8234622993658273,0.8972139818962326,0.960465098237862,1.0300090741472674,0.9904662339142957,0.9362550083633449,0.9286261016899845,1.089479983698433,0.9434715665637279,0.8740359832321307,1.0829770586498348,0.9009180227877077,1.1240135049299618,0.9492745610822615,1.1360790364308717,1.4409426583782923,1.0892830093391095,1.243285362608826,0.9325598317266124,1.8316512642861935,0.8570580528045553,0.8142229204680915,0.7801658502982237,0.775592262777129,0.7195225099906855,0.7502661931350773,0.9483898660258412,0.6920936949956124,0.695794593433464,0.6240701153858501,0.697125374371793,0.7232664279099117,0.7325519191036413,0.7384533033071566,0.7867469612897015,0.9729907538996819,0.8614886478344664,0.7544926915278164,0.7056566857094632,0.7551606497777811,0.6871919334568918,0.6595800390497876,0.6225675459939558,0.8599559065851924,0.6299020018076669,0.7307703698232433,0.5806739259230951,0.6244764922785329,0.5940435810460574,0.58279496669152,0.8352672206740863,0.5935200055581588,0.6098128758224153,0.8178648447448403,0.5219852071181353,0.4575767392193968,0.4763636534302144,0.516748094612868,0.5434309051160161,0.5754793396238254,0.6474461411194483,0.7538683661578138,0.8352463958884182,0.7420529042956039,0.7243765793485663,0.6509349833895909,0.6727222342254195,0.5484397651535399,0.5204997011740741,0.534290751026627,0.504772804965196,0.5199920363090574,0.501308541461384,0.500038758344355,0.523672754367489,0.5244361441344143,0.5148021155086343,0.5639802900260676,0.5541630458109532,0.6087191406394823,0.8024428565368146,0.5571716213338013,0.5922549710028394,0.6552389206044316,1.0142248315819424,0.936108558835799,0.7520263183703743,0.6616488092124532,0.6257906211445277,0.6030052461311993,0.5677024000948842,0.5329305405767824,0.5238317771167544,0.5060432450766724,0.5972952969799611,0.6357828427141444,0.8991649911950753,1.9187973775611529,1.0485168092240669,0.7396791906517096,0.59760310894705,0.6182374007984414,0.5481227557772397,0.5622227265872494,0.5779351833456273,0.5627816751229099,0.5950475031623889,0.6046023723379131,0.5659011393676977,0.7722351497641722,0.737437709013441,1.086963768867793,0.9893769389418702,0.9668082889624021,0.7197972089405313,0.5932907648599014,0.571305690166801,0.5632546632256108,0.5553728359924572,0.5588716281062022,0.5942353098586953,0.7434464202431461,0.603887686377196,0.6226297471540033,0.5679266557246538,0.5223769271894686,0.5335271801435881,0.5716091373111711,0.6295349551060458,0.7868225667190807,0.8309369769161465,1.0399298869897264,1.4240564748641014,1.181649060450732,1.2096583387365498,1.0733784752149764,0.8924034350364057,0.8390222768564913,0.6339988597458455,0.5862274739326045,0.7040370892411275,0.5832053786873309,0.6061498641856171,0.7021358122415119,0.7116101309256727,0.7981073260279232,0.6934813991278258,0.7815391112029694,0.9049039071723651,0.9282502787077821,1.0032858518135501,1.0541494653903267,1.1476497854637733,1.1194184841555492,1.238822111065552,1.3714707500751524,1.4088865044849448,1.389998977558003,1.5792103919448428,1.3556269997968247,1.6176517965342228,1.3037041711910704,1.262740413367316,1.3488754347378813,1.2793466286532698,1.615078866282191,1.4470356389187669,1.8211687497081845,1.1127702138626463,1.089166576412159,1.0273336839951535,0.9667433489017851,0.9961297039954962,0.9041816549417773,0.8483556396608902,0.883511294976555,0.9962643341571374,0.8093893350243224,0.8188896974658008,0.9796983276632372,0.9008418765653552,0.8991745301285542,0.703231996980501,0.6923734781257046,0.6964502389291385,0.9299132978631273,0.9936976464624598,1.1220059778898717,1.1537970844809313,0.9596375826076234,1.0590464287955363,1.2793920827935903,1.127145289651796,1.072363040553824,1.2816094263946398,1.3572570312861931,1.2361021735452324,1.3410028056313281,1.530367181302213,1.5620598117391467,1.4645663179201818,1.5145804305123056,1.384189005744188,1.2701645815626552,1.1193224441603193,1.1039506771445284,1.2312405327602156,1.104722164028224,1.0258166757304268,1.114228320689046,1.1442916735694673,0.966333034612358,1.0179601649389411,1.2938072977275445,1.0871947848654506,0.9691969622137568,1.0907082926534137,1.2902687791030696,1.1527613423574063,1.1347593237229106,1.334861029790036,1.3302486301974967,1.538531540575912,1.1372411524467771,1.072359886132635,1.112078394995917,1.055304000541029,1.0212454971011617,1.1713568280409128,1.1152249377688186,0.9365900952789117,0.8571614933916863,0.603754951688682,0.520423557687397,0.7479555188645469,1.0712905595103812,1.0105620986454955,1.8002339108414762,1.1607792030058073,1.2144744920448716,1.8146222926214426,1.8200066427779669,1.8749319995305087,2.4215900103690515,2.8197186035932145,4.063303739968867,4.707785331924998,5.805961691435946],[0.6235727349733203,0.5680963064683373,0.5690180984850073,0.48896666214398776,0.4212776957899355,0.49157875346335944,0.32331090070107166,0.3902035075322398,0.29975161685089385,0.309246664485218,0.33604640654168294,0.4205180925480484,0.3318719575796197,0.3450597135008475,0.5474436548808078,0.491583576862084,0.48855750493946604,0.5929000964811993,0.7322780805020034,0.6455086618376902,0.7316353482725737,0.7003189863130508,0.841235273109963,0.9809963359312333,0.7487625575404324,0.7547577073029051,0.5774578489479767,0.5066503095208279,0.516617212445831,0.48289906196990917,0.5772480866357736,0.5426917515994262,0.682778659776972,0.5983652171309837,0.5271450737005133,0.5359915071688555,0.5124049671864005,0.5245497385869955,0.48106645667624026,0.4718595748246006,0.4985457676112414,0.6701341338898914,0.6267716866131077,0.7948484693265708,1.178611270995035,1.5274486731666426,1.5883391823557464,0.9512226836221304,0.978876054486673,0.9617092924501424,0.8071391841720524,0.8393623927822393,0.7897676176869121,0.5401780569670458,1.0694822263499497,0.5854956019766154,0.6200432915298157,0.7579929283477818,0.8976037187809679,0.8660213871670793,0.7961365485882391,0.8035508795388077,0.7769762720168718,1.0034799953531182,0.8011103365501854,0.6933934645831312,0.9348762729223179,0.7825269046833263,1.0001910666931066,0.8351510046097058,1.0933921550871535,1.4657127904398934,1.025982819847522,1.1342624153771037,0.807184924291004,1.6991465688079532,0.7120151736096565,0.6899952894430347,0.6373222169225996,0.6401850069009569,0.6082495987273645,0.6440215688622436,0.9227285697156322,0.5617008909668337,0.5576958278272162,0.5021991070327446,0.5405250168180931,0.6229086952726917,0.5720499140829607,0.6403640189245638,0.6668686165714176,0.8678072201435809,0.7549005655521827,0.6384068530721204,0.5861392212029073,0.655848975992256,0.6485435038606201,0.536829764649519,0.5167329929971906,0.8036653292436707,0.5283909389661671,0.6805751846994686,0.4779039559804873,0.5589407978528366,0.5183357977148297,0.5329635908561491,0.8429959068036866,0.5077453144585602,0.5555190973753068,0.7881580647678923,0.46088689164894964,0.3713520896419102,0.3230969956878329,0.3648558961161616,0.35123271548418394,0.40423282382228115,0.47992367766764343,0.5165774324057871,0.6880781267057546,0.5934737905769272,0.5533934020791298,0.4834028254228334,0.4437181408328883,0.33711684160292554,0.3208406637029152,0.3485713641122758,0.3664515470378713,0.34792995893990186,0.37224635328941796,0.4326796589248921,0.424822715551193,0.4613012367579106,0.3871338613072953,0.49783499880135085,0.4095898755602446,0.45169296479208687,0.7095861114383212,0.3833867675497114,0.3716716635706911,0.42893948421715794,0.7834222081522605,0.6724376791593796,0.5522514198959156,0.4633690906048556,0.42772907796976767,0.40250622660743696,0.3602018905854312,0.3682271294786428,0.35897345944826553,0.3817657606593861,0.5140271138407256,0.5650867329973036,0.9123587689268828,1.9321223910096508,0.9785039372965059,0.6794066052232693,0.4831082091829754,0.5397449716246443,0.4100539676725721,0.4841258902515797,0.4104673406487194,0.38720227830365533,0.38849151557815076,0.4073740212201819,0.41974891086311944,0.5680403452310258,0.5179255865665442,0.856551502049722,0.8021359060345118,0.7908129374797682,0.5323161632771368,0.408856135115266,0.39159669085926385,0.40030502348833646,0.38594514298075194,0.4429485082618504,0.45703560001290333,0.7167914961337867,0.4663991837006356,0.5665882896082913,0.40752746373782023,0.4080863463726412,0.40643446507904785,0.3994098068803071,0.44021317819000916,0.6005682601828601,0.6303283265492511,0.8638781812331582,1.22022555775919,0.9304921016863389,0.928345791466439,0.9322279186492515,0.7159258534995779,0.6558331467977047,0.4703298733284919,0.4651151477684226,0.5976394152527207,0.5331008118344966,0.5683482034368065,0.667064206551131,0.7666225947712247,0.8751118011085034,0.7247660243193634,0.81925155422095,0.9769070824920277,0.9869416969152407,1.0615733646368584,1.1044917816350204,1.2329132546694588,1.1730680924780066,1.276077420430803,1.4212669503973012,1.4616279847275653,1.4222194913226356,1.5870524062309126,1.3572944316419109,1.6314514752625613,1.2968891862299425,1.2920372246379939,1.389814043491767,1.3197700089434266,1.7065683655310098,1.4967241410482353,1.909805584773047,1.190051794501235,1.2100430546325922,1.1615417253979812,1.08948547327268,1.0598493716621373,0.9661305627802546,0.9316822913958713,0.898463976642355,0.9714557487206654,0.8115122605175852,0.8687638385397457,0.8971081011575718,0.8410502811586077,0.8597042475160808,0.6940470579646129,0.7057423790531592,0.7663882851405968,1.028608167854448,1.1140133611338179,1.2733069426946477,1.2900005120029445,1.0681687609159514,1.2021806588950845,1.455134783725762,1.2664580387926456,1.1810597946722874,1.414048244138724,1.4742194810930587,1.3365077957106573,1.4692762907315307,1.659401122239948,1.6554388215404936,1.563823526478979,1.6240191627965357,1.482777087448548,1.3955405749900853,1.237173780763741,1.218121163483155,1.3245155710927066,1.1797324357046253,1.1149956313327456,1.1702292273544654,1.1899825763676872,0.9980376748541661,1.0331481465455334,1.3013250421673335,1.0778034695850673,0.9453399111711712,1.0652021300351384,1.2307248064765497,1.102515238765775,1.077340835894906,1.228009488438173,1.2598382935999493,1.4811041128819804,1.1014939670228332,1.064424031580726,1.08483572304294,1.0284619281602143,1.0030277444255684,1.1053583575332888,1.028492743015248,0.9430783508708,0.8546292986804186,0.5697156336522665,0.4825034499490737,0.7685953383371407,1.125258445271879,1.085303632680309,1.9220149134253943,1.1660831899277722,1.2482126206113653,1.8544262220342302,1.7422328343856126,1.7648392983455963,2.3295365666373082,2.794674259725704,3.911654353618228,4.663504062863716,5.739640625852859],[0.6595168419957402,0.6182700858553977,0.6088236463343366,0.5635482103567461,0.46604795705423013,0.5096650054345268,0.3845345716489781,0.4196426300120853,0.38205124669137797,0.418530549457423,0.4293007815400241,0.4856964166710801,0.4399317082501753,0.4762493057435996,0.6387010742694225,0.6106256772497828,0.6427178822852487,0.756332679366326,0.9215196604733226,0.8266855760314556,0.9349522787924804,0.9068680279711353,1.0439304982936672,1.1835145241886247,0.9661835624656869,0.966139357650407,0.7801102569975538,0.6804699904374777,0.678055895227614,0.616703961579868,0.7126262999456652,0.6297997256826771,0.8439843659002934,0.7456518014029764,0.6596951177656131,0.6922093370222233,0.6340081688543127,0.6869684709589905,0.6770027540285051,0.6649602867616774,0.6992119845911617,0.8542371450895683,0.8187518057521966,0.9603489953291949,1.2987880520009458,1.5714022576909714,1.6565011364993594,1.1195524273931923,1.0804218745065057,1.07887744151816,0.934872545416234,0.9945805420254861,0.9824052999057662,0.7159950736967299,1.1543815937378992,0.7679060384518248,0.812605410365719,0.9327738652598527,1.0315059583388302,1.0421175034895636,1.0007422270558488,0.9861956841828586,0.9772828861954528,1.2232395795009858,1.0075352577313321,0.8910998918286498,1.109887556839693,0.9679116737380706,1.1600506772829944,0.9825531982045387,1.2293092175888614,1.6133872337453032,1.1678434233685357,1.3064191503985703,0.9841193694102008,1.8560887090931593,0.9100992012368795,0.8839959702405714,0.8302294880963188,0.8220876595907669,0.7497441613204552,0.7642993431844914,0.9748928274699248,0.6885918765690221,0.6989157681598227,0.6382236097805474,0.7017429551505688,0.7505970807212758,0.7522035325651437,0.7809433583599287,0.8415936821043644,1.0158237429565455,0.9024578663855245,0.785327024840093,0.7104926785995334,0.7653438020265642,0.7506050234012465,0.6295957280517527,0.5813554562530007,0.8552427343640149,0.5888776151776276,0.6829005530399967,0.5155169200392068,0.5515488638398139,0.5096155054778659,0.5267965135159097,0.7913420084976177,0.46802641673862516,0.5243997376114747,0.7678932305688003,0.4560555500138758,0.4220059998114841,0.40961724883483697,0.45921790983063143,0.4723352270305664,0.5337177443342476,0.6298025417058853,0.6726655325553603,0.8719935180043187,0.7648062282019407,0.729409185949218,0.6240048332759592,0.5954883877551369,0.4676564272275557,0.4334246874121389,0.4459695190005034,0.4293494846849831,0.42601405869363773,0.4273352905424731,0.4836628726066857,0.4829118808242701,0.4776937056919355,0.4597688379101271,0.5375227132656095,0.4963927018913408,0.5228154918395364,0.7187802592567746,0.4876012045707567,0.49827439553889274,0.5686325482221438,0.9150931869812802,0.8338922215316487,0.7489774686025408,0.6331965687876849,0.6084752674472298,0.5735397806383153,0.5220491200730831,0.48656076376624097,0.4473592982051527,0.44377683823168956,0.5143643419625815,0.5825109172892364,0.9018864214425,1.9890271528299441,1.041246677505211,0.7103451124847848,0.5083909136860147,0.532808228852166,0.4669388751716556,0.5272496142769773,0.5142404582157134,0.5270851908440051,0.5457695165882065,0.5690625628093111,0.5381263054032744,0.6639155322579525,0.6207313547770413,0.9891962190747362,0.8447043932589429,0.8415246079046929,0.5968793978182094,0.5303972258890215,0.5172732131279991,0.4978293679640553,0.4935113135537952,0.4965842897283413,0.5391033069821842,0.739828229210974,0.5639425232765359,0.5939915360976474,0.4996413543109323,0.45385849734923733,0.47121382029292325,0.46436112483728786,0.5151998359912666,0.7302772923541567,0.7685266110872223,0.9501885255943006,1.2954978601150453,1.0261586569848822,1.009868749292975,1.049387984765943,0.7703115272151092,0.6986884528603506,0.5405071600812291,0.5100228591066187,0.6231262994702508,0.537746164414721,0.5587381351806527,0.6682243172691026,0.6965708497953969,0.814422294341905,0.6805712346080599,0.7641598960297604,0.9023585906879983,0.9244925220678563,1.0300591668477495,1.0453187839593099,1.1590716144972144,1.1240955737558953,1.2353168421582834,1.3716982377455176,1.4176438275818373,1.3981246726076586,1.5606185399879118,1.3323946810079463,1.5996854683070447,1.259282824322498,1.2401356976551676,1.3276606518142624,1.2451568030120805,1.6457618918116088,1.4118624788985117,1.824288634250149,1.1050269223407818,1.1122258380771535,1.0621965298791216,0.9873621955447298,0.9365537693864773,0.8580966226124708,0.8342666663762,0.799021549171495,0.8813500829693206,0.729597215950889,0.8477817622895187,0.8327772595314253,0.8171783736997644,0.8325419359277283,0.6450240118671566,0.6814505015222364,0.7247793102194586,0.9697720601462164,1.0805453920916395,1.2234072380656518,1.2850910789315444,1.0219867539817304,1.1284917083751442,1.426006023355478,1.2262889378647588,1.1014317944543888,1.3354713866737866,1.4036114750792699,1.262868535979978,1.394508385493173,1.5982649482819602,1.6034750293562803,1.502850014571901,1.5566899479581255,1.408683485715765,1.3129842935171,1.1487914442758218,1.1250777519535502,1.234194260318117,1.1029632139857755,1.0254007381078583,1.0836208485205412,1.1149482499386936,0.9270403403243315,0.9543036603216741,1.2333188422263355,1.0316824931930917,0.9050252082025287,1.0106413524895044,1.2012948173435292,1.072134528016661,1.0482249815730467,1.2357166314372952,1.2792281975870696,1.4784385732656444,1.103442298328123,1.0362431097870783,1.0455532668866023,1.0339848405288388,1.0009438110709854,1.1196007155965428,1.0620616464604742,0.9463783565664385,0.8617515509099953,0.5679580102384961,0.5084744028788509,0.7777398198886382,1.0678883322791335,1.0181317635588523,1.827761868349464,1.080097515105804,1.1839205490667402,1.7662504367750815,1.6660011074575691,1.7604735196167627,2.2455554777664646,2.6992496569692936,3.828358125058333,4.621005264976345,5.778874873493151],[0.656001969491921,0.5665974561870082,0.5597673362042325,0.5843999064198685,0.3995520161480309,0.4889101622182157,0.34598502078705035,0.4051400667177509,0.3443934889263713,0.33881517307935577,0.36799780209512284,0.47488634789231143,0.3880222432789367,0.39226262050892413,0.6021206584781119,0.567094954305298,0.5628892568442149,0.6755692552196374,0.8156503593283562,0.7260345112178402,0.8309218559555825,0.8008742988081893,0.9345404026020735,1.0882268065402931,0.8217420088252068,0.8288728268184056,0.6532143956660471,0.5682184603888102,0.5941362811663968,0.569202804887491,0.6699954919177675,0.6092954698222032,0.8250088633629316,0.715202447901582,0.6342021919895702,0.6371766628048445,0.5920536199612041,0.6171929180112021,0.5743372822090052,0.5650590230769749,0.5741291560613565,0.7472952099171237,0.7162778654882717,0.8365036930189254,1.163405426182235,1.4700593814180811,1.514974067355418,0.9736453173448085,1.0003810792239132,0.9729128918909337,0.86051804866157,0.873911301200632,0.8892497040680472,0.6252376589271981,1.1498597246281843,0.6983863426820918,0.720797696595736,0.8350507907445519,1.0002314156815468,0.9592472033919215,0.8986280905638884,0.9065092273401049,0.9143995510103954,1.108803260025202,0.8906703770444786,0.8067606766590073,1.038100971526149,0.8889490065163549,1.0897111171196041,0.9149169707969071,1.173091965476812,1.5829574518534524,1.105467931736522,1.2142579128664297,0.9074902396813466,1.7722154097400957,0.8330337340882374,0.8341536437094816,0.772742683487269,0.7685789512459045,0.7157301965152374,0.7125205499757874,0.9443767006656223,0.679598225005847,0.6249601957968883,0.5775937092913537,0.6425854532483486,0.7081951354274876,0.6890606918211252,0.7392616522867653,0.7875226359275547,0.9696542962841384,0.8695032680598045,0.7543469271648675,0.6853109992951137,0.7501479921017496,0.7317913205668584,0.6180649921096516,0.5834741299571264,0.8763548343550794,0.6008498177613377,0.7051936789297899,0.5339187008636196,0.5957961344985248,0.5495852911487245,0.5344969554097861,0.8090027030754794,0.4850976006372668,0.5188285894171804,0.7492603819630616,0.4507778935947153,0.37527561613065574,0.35429934697252197,0.38782511088764576,0.38778599245533585,0.4348900011486036,0.5125282026085385,0.5492577719280222,0.7229955311727035,0.631437774632629,0.5922873784934631,0.5141944447546732,0.483096194712945,0.3722498544652291,0.33099868766565005,0.3414935712699196,0.40950595878136264,0.3741405042765543,0.3842329898235139,0.4382971984616511,0.4356166974199806,0.4749252060500429,0.40590059318336985,0.4932121338458023,0.4495895580922329,0.4683660634323094,0.6703067427859972,0.3970316428467085,0.4026304390946897,0.4784463724386491,0.820940931137956,0.708867854553978,0.6126103194201772,0.5170089481397561,0.4842167889303406,0.4617799925061068,0.423840461140272,0.42651574215218535,0.4143893776620712,0.4060293269250656,0.5094126678632688,0.5924396719684175,0.9351371709762771,2.041114620712773,1.0428354807720368,0.7242912168175569,0.5318258084829419,0.573166280379387,0.4674699158778964,0.5186987505490783,0.4628953704662678,0.45806424245464983,0.437994081476177,0.4796713474482376,0.4536310777168676,0.6047604212760692,0.5378665041071234,0.8457395371441311,0.7687827405168854,0.7705940255299378,0.5311989209260126,0.44338303323521616,0.42477572450092255,0.4521701774437588,0.45684115405591685,0.5033492385535595,0.5273939924496208,0.7575810240847735,0.5551895756351987,0.6087757916518732,0.4560652966865814,0.4343244065077394,0.4328822263385649,0.41648002110467514,0.46185835738706393,0.633785375070211,0.6691638572846946,0.9171505717566951,1.2360374278238795,0.9568877782071076,0.9330768284790237,0.9821893120997139,0.7376813811790538,0.6708084911195484,0.49146619144969733,0.45954029377160366,0.6453670552507828,0.4932026872156173,0.5116561163280167,0.6484185670353224,0.6839343217737403,0.8152062380408547,0.6675257085139327,0.7379478289395531,0.8845347115209854,0.9052188050708933,0.9927006205827597,1.0013035585348644,1.1308911546104299,1.0897078591947094,1.1926903708969776,1.319481802241172,1.3715414165463746,1.3683369840957285,1.5035833284801126,1.2498907774216481,1.5373951171208642,1.1826037052970721,1.1714753881254767,1.2580258972381753,1.1727782209226365,1.599359129366994,1.3284078845057161,1.8072806792781266,1.0839355523292846,1.108043546478662,1.0885773338173017,1.025134220647339,0.9104999907177108,0.8364383132403398,0.8624326255615767,0.7855519065871004,0.8304245492176785,0.694767929338071,0.8606719331609294,0.7458454962891234,0.7443244828247717,0.7913613873475606,0.6111782170225555,0.6824590067696228,0.75345655097208,1.0076737499118946,1.1189318007208156,1.2523247900827088,1.3214796571664216,1.0477356392020343,1.148949709786892,1.471877952954915,1.2407680387762623,1.1164500215902489,1.3418384171165632,1.4071389949401036,1.2526659784020644,1.3749668317197994,1.5743038356725552,1.5712471472923213,1.4587034590308103,1.5132550478968467,1.364790963255444,1.282662607856086,1.1379039803376036,1.1143082979635497,1.1972146790735063,1.0652660199615878,0.9980636250417261,1.0390029307787207,1.0662301477626357,0.8820833739596521,0.906087289838524,1.1625555908400762,0.9658859614748209,0.8280686805018811,0.9397407120839805,1.0938666199665938,0.9821299588042768,0.9699323703261306,1.1354209256901242,1.2032733984614494,1.370624512598717,1.034982077875445,0.9717308486217207,0.969721253265511,1.004300991970412,0.9559072455481867,1.058021383397083,1.0213863201186957,0.893778249968366,0.8421484242927585,0.5188391237002205,0.43322398626325526,0.7484156211561271,1.0765573585872918,1.031986711048965,1.8989632776152774,1.0635079569690622,1.1546068336207753,1.7225867211213108,1.606858026374122,1.6712053725844762,2.1212895430933103,2.617817011292303,3.74551379638911,4.601364872215582,5.81396054317676],[0.820428250288312,0.7253292520680187,0.7364753890668013,0.7918600789976882,0.6368503764341849,0.6957325797781728,0.6246906318867091,0.6691576153246946,0.6354977951138854,0.6204818706817908,0.650491524525676,0.7009256665288953,0.6714764540900584,0.6556979663130413,0.7904384662550963,0.7718017747497323,0.7831112678178881,0.8721279471994806,0.9802094674684985,0.9046297705725809,0.9946135823945326,0.9612619906365599,1.0669411991348974,1.253208246173411,1.0015420512258548,1.0062466900102258,0.8598415174494127,0.786344046042699,0.8056531362426995,0.7858952300832446,0.8799447111339237,0.8498171395578691,1.0563098362399497,0.9253253901718838,0.864926849725884,0.8423955224852376,0.8106793766497435,0.8285744045569514,0.8039382694979703,0.8189423377180108,0.8165001627413951,0.9393678272242451,0.8783541006192674,1.007417941865139,1.2498939462443086,1.5191597272202493,1.5360420740035032,1.113246675098617,1.171713961497945,1.132129279704364,1.0948362087940475,1.0681803252042466,1.1670662349824659,0.8786481359249013,1.1794595568541837,0.909821301453333,0.8722465728805654,1.0293324825345882,1.2489144866483617,1.0957008880780328,1.034963549729328,1.068339944146628,1.061903494297166,1.3539765417508332,1.0521875621392527,0.9450246693097184,1.1377783111748423,1.046894930153376,1.1842121789386078,1.045351074818154,1.3125896647806459,1.7302902108590752,1.230844128702108,1.3084465185035856,1.0396428882044952,1.795361536312932,0.9833075583824232,0.9978088961145417,0.9528768787666844,0.9556966974374341,0.918492921934337,0.9127519469155302,1.119864054459363,0.8103338093152195,0.8778610023400433,0.8246843956361016,0.8600469590258584,0.8767029803731172,0.8867588908760049,0.9519364968897809,0.9681956941256213,1.103919076568736,1.0255042644051462,0.9499276154963984,0.8860986320547529,0.9339276728919832,0.9763046570034007,0.8613591394978665,0.821458034958667,1.058773895643919,0.8507953895112886,0.9120344869557832,0.8025674527771665,0.8105769612689822,0.7846959669453691,0.7964669709268347,0.9137552280633411,0.7317517302159448,0.7389149909817799,0.8797270107700182,0.7177836150113684,0.6997208891216993,0.6655717357927735,0.675669367498895,0.6780271597101064,0.663412376045065,0.72609832077853,0.7135303961325723,0.8976763250780322,0.8227512661609112,0.7676840728727768,0.716355450744823,0.6606877110781942,0.6066871755596026,0.5901706877268439,0.5914025748486323,0.6565856855229085,0.6827459795401434,0.6731694906092677,0.7655389896487867,0.7392664554563529,0.7881873286347006,0.7264130305992591,0.7761431766976064,0.7399395760768607,0.7312606727398381,0.7713587071918337,0.6338219903323017,0.6051086066769892,0.6673872155169838,0.9105631452213002,0.8429284024928737,0.804736266742683,0.7363293248491106,0.7284309477359018,0.7328785694194375,0.6900025269357459,0.7116196709354204,0.7010089387860879,0.7019596916654053,0.7361473162024413,0.8088587375104682,1.1346548344385599,2.1423521550294033,1.2014802837010035,0.961584432081235,0.7802071160283571,0.798441816059493,0.751754502437009,0.7996386412792336,0.7068994797163838,0.7494511951127021,0.698781037966592,0.7407982928237014,0.753486130920425,0.7872306627405526,0.7241381357307667,0.9715363837611983,0.8602204329404604,0.8724503333795874,0.7024317549445404,0.6819743578768998,0.6980894811881344,0.724826619334161,0.726236097662225,0.7703006156278291,0.7696158414285816,0.9768062172286305,0.7872978611858079,0.8565064917656182,0.7193924998918828,0.7349303519463525,0.7220991137581292,0.6977845663673453,0.7131848833955816,0.8341311028323859,0.8615164174285133,0.9977846355944777,1.3511513820951224,0.9976019843183607,0.9245772246349018,1.207339472869222,0.9178097912615736,0.8482189659817345,0.7478561975632667,0.7472449307080505,0.8866835496810149,0.7774945179958925,0.7937518714413095,0.9329600944848448,0.9467010060174261,1.069989296486911,0.9282130506556915,0.9537862955634223,1.0967383291741295,1.111046729884691,1.1787962883608076,1.1656641701753463,1.2946917856694784,1.2487454913906877,1.3320118906088154,1.4568834484549815,1.5071188537203235,1.4785274278716647,1.6080793031573408,1.3649200194627849,1.6620148560831964,1.2943555097930994,1.3070258589393893,1.3897798707613311,1.322671368046182,1.7640524522671237,1.4634455535493605,1.9006247486790524,1.2605654769553185,1.3211554044791958,1.3237802184813616,1.2702650504772217,1.110951629145059,1.0610466407916719,1.1376279844547295,1.0296193108494855,1.0193478793188124,0.9273708716560332,1.0582403732590064,0.8804194937585175,0.907179877274442,0.9613925313990733,0.8555032032688273,0.9556202435409632,1.0661350276606716,1.2676331121003086,1.4091709554649396,1.4958364578127907,1.5884714379131772,1.3071549156925315,1.373583650718307,1.6838781177440985,1.4658711109510236,1.3163371945407396,1.5226863453256085,1.5757898914079456,1.4334645310878256,1.5572246332147215,1.735278680703884,1.723419078127179,1.618104857937594,1.6747707838592436,1.525696054341921,1.4641401613348386,1.3387647260521094,1.3239032258232735,1.3733866217974706,1.2481094978435152,1.2043398291654004,1.2159150438561268,1.2266127050760818,1.0644499867469392,1.0813179334546403,1.2790168711126135,1.0859072070199722,0.9817347986184373,1.0529236559916662,1.142355300995298,1.058236506070227,1.0708177257877611,1.168449905364597,1.2628494933581702,1.4148927827147233,1.1108297176298618,1.1154878920163718,1.095515670099832,1.0913458717582558,1.061044148349974,1.1370460045362338,1.1178887255084968,1.0727815502758304,1.0769023398687643,0.7880347165778808,0.7055481932695724,0.9817551472623565,1.2526897894228002,1.2356027048437364,1.9969768884927064,1.2443079886592496,1.3050484012398111,1.7684273712715215,1.6473288729886344,1.6621382389828454,2.045018387802667,2.51761412198837,3.5247414388069642,4.398062098112694,5.647552204827412],[0.7140375949479825,0.6112357047762763,0.5948036713381679,0.7029734266256848,0.46856521175345694,0.5274110453318048,0.42992223577813704,0.501566301204614,0.4436961440475667,0.39870470590550583,0.4261760349273865,0.5326446804978716,0.4485882530943532,0.4268055700937483,0.6133323842068652,0.6044499499619185,0.5972679178789397,0.7068025558107814,0.8477491002094201,0.7552971902214883,0.865508146155068,0.8310635052995058,0.9561875953323099,1.143967664004186,0.859720131612605,0.8647162993217739,0.7038242916685185,0.6136475736240594,0.6299766419100363,0.6123720631587662,0.7094187487742453,0.680154657545819,0.9057139282149547,0.7659518935173014,0.6967698344700131,0.6807472942032624,0.6410758026431282,0.6583614240833098,0.6204572039254206,0.6391825439509514,0.6444398827055031,0.7848389709053931,0.7444785296031711,0.8604674736994838,1.1447321280089902,1.4412243302522383,1.4733267212224668,0.9805399502443936,1.0456274044750449,0.9820371083546602,0.9148258500602032,0.9773442801269315,1.0166087704559934,0.7161308078464034,1.1148526917799362,0.7607331681688164,0.7673173773821982,0.855191490629876,1.0671677147536536,1.0013679536524636,0.9274389363481017,0.9634409652153126,0.9626999326459987,1.2053292650987537,0.9308822012099558,0.8308168009879527,1.0383179578892918,0.9129275202705625,1.105912601690053,0.9275182888425993,1.2133381935746346,1.6593178246134461,1.1415136429973305,1.2168266404738253,0.9263326745515491,1.7797509797136613,0.8676992493788434,0.8679526967949568,0.8192134768276879,0.8073361368731315,0.758788121495651,0.7675509405540873,1.0087247669691957,0.718212728973152,0.6835564742266378,0.6315687940062633,0.6902069345985595,0.7540907145508157,0.7348773199941798,0.8022429605140472,0.8235700648111608,1.004337569814687,0.8935580528130181,0.7983105192214166,0.721164424706128,0.768820357876511,0.7836584094774858,0.6944613707588289,0.6604462821011144,0.958373477128107,0.691773002853723,0.7711347677795417,0.623034965034057,0.6677733314578265,0.6153291483912938,0.6012629758958997,0.7777293781988538,0.5473581255111967,0.5654748284146721,0.6987627806251158,0.5416923343502177,0.48784107133344173,0.45425084397560805,0.45192236569243693,0.4574217903513648,0.47154555854754815,0.5434357388765205,0.5564690126873654,0.7698253539109691,0.6704670322383592,0.6208531599395829,0.5334226799615428,0.4966542511466423,0.40123780432951983,0.3749877812015534,0.38684002613242524,0.538606347050131,0.49239116236010877,0.4810112970291727,0.5352161808999838,0.5523670845476583,0.5860287911035201,0.5283364657530081,0.5625970825470784,0.5747003841311025,0.5632255366524638,0.6403963711111229,0.46228838095688674,0.4710541469424482,0.5091454811459001,0.8207863288996241,0.7062470962115327,0.6437768705828075,0.5666013107880861,0.5494475374194715,0.5323333297446464,0.4846744668253536,0.49592271880386923,0.5032702066264474,0.4931035861938382,0.5908698500080245,0.6597411298377573,1.00854386584333,2.1502498402350376,1.1399005339816843,0.8426034204531352,0.6114906484927459,0.6489570206140405,0.5634369068861829,0.6093204253985117,0.5138446436986589,0.5362046530596861,0.5004718711253888,0.5340787394830795,0.5613716601083655,0.6046608484799396,0.5583159183731496,0.8256855481002299,0.7514500098155682,0.7639327548763837,0.5602690005597699,0.5086168311588568,0.48926364683320206,0.5243720800105698,0.536754012056656,0.5906281296971054,0.6034808721207375,0.8325115060880243,0.6221523334336035,0.7079088286137936,0.5269861646261184,0.5205513071500355,0.5050100683355285,0.4891949086662061,0.5202307225320745,0.6427475219380778,0.666873569221221,0.8709899933621247,1.2512560535423392,0.8921411031609602,0.8769325206156507,1.0977293376543575,0.8087482934164768,0.7332075159972486,0.5828511878597834,0.5492974200877535,0.7011484088055423,0.607380241679971,0.6065782473134957,0.7681390166639108,0.7505749800186079,0.8761418477798005,0.7418294034795406,0.7713945017159045,0.9101798715255379,0.9387146201245617,1.0318531499293844,1.0063728325699106,1.1269586360746713,1.0999438096871577,1.1939088693547089,1.2960951201095972,1.357930731041554,1.3756033647654706,1.47578313197368,1.2348180800830537,1.4995636862430057,1.1420739845260417,1.1445494011383108,1.2040309987381568,1.1163795055935641,1.589678907548899,1.243952142736141,1.7280182313138377,1.0731536120094947,1.1167739631506015,1.131610471598055,1.0890921807405358,0.8962848820676947,0.8610079356707703,0.9440267044809572,0.8523075923334719,0.8275621658572677,0.737939626037043,0.9475999755352669,0.7407350960836412,0.7589298661877385,0.8075208886134854,0.6653272171797016,0.77938123406366,0.8742154695116665,1.0980085434466798,1.2081107304537122,1.3105892474418024,1.3888284906964699,1.1136086528296056,1.1937050558212092,1.5163061037347096,1.2746222359765578,1.1432424069593563,1.358020526877534,1.4211764857363867,1.2564406351700603,1.3690037943623368,1.5606370641601446,1.559550803268017,1.4380060126066252,1.4840719567710623,1.3418007617695338,1.272390002033421,1.1512719641875038,1.1270802552075432,1.1817009104962592,1.0600075430398803,1.0024656926850126,1.0154405569069704,1.0322399128937645,0.8700190487865141,0.8781700262257361,1.0888133859523232,0.9321114818046151,0.8099774350269584,0.8792791868929966,1.0189963296648419,0.922690828098331,0.9308057708253209,1.093633599161912,1.2029924895682262,1.3015455068096518,1.004356142381307,0.9678955782571067,0.9476955122559195,0.9941416375692986,0.9615787790752856,1.058590968731987,1.066251079103802,0.9594120548325172,0.9471930396250884,0.6115009812053712,0.5031054676110286,0.8222679815023728,1.1024497132319186,1.0739955326738564,1.9404505471182545,1.082748781362674,1.1737207717694844,1.6758642156768062,1.589119766883977,1.6725219699843812,2.0156468916508787,2.508994005755439,3.6255277689447345,4.525462912403164,5.83856445221624],[0.6829252390917243,0.5834862506735655,0.5238438641388146,0.6115201491024792,0.35600629493367225,0.4493575407926315,0.3236345030065414,0.3845613468509663,0.3180165016114086,0.3102326149899493,0.33926566626912513,0.4813131565853756,0.3838853376589265,0.37930952853700145,0.5527377914036293,0.5541676346148375,0.5529522527793267,0.6861512513404097,0.8486318358172256,0.7522155080287315,0.8704936021602607,0.8381328235947371,0.9768507432978679,1.1555437072673556,0.8743062927632644,0.8812946543585367,0.6956501901652388,0.5939502002734389,0.5976991862083245,0.5649916065855062,0.6692963273844353,0.6293061582760199,0.8787429481873539,0.732736714855843,0.6563969924377739,0.649287836365021,0.5842914121825958,0.6451043063327497,0.6195345282562196,0.6284160064336339,0.6440000867036372,0.8032384840338801,0.758243118154604,0.8979618829872617,1.2015551834446938,1.4749953908081346,1.535054031650557,1.0491283117847692,1.0593965644141163,1.0358193557238529,0.9622977277460448,0.9774189588247407,1.0017036148027936,0.6995813660561425,1.1276664704212913,0.7447572970433399,0.7674496776997971,0.8725925057248194,1.0061187077211724,0.99278764414753,0.9152661948000199,0.9365707080623981,0.9458774312578243,1.1932544750486571,0.926411838649952,0.8210398078885754,1.0380440849495005,0.911912081280077,1.1088178836421647,0.9112906404232531,1.1943767021330045,1.6355866011259812,1.1162757297290957,1.2261832932231258,0.9097890042745406,1.7607170719166894,0.847718453876128,0.8390441823977145,0.796027993731967,0.7869599610897294,0.7361893495728109,0.7617447558628946,0.9481709851067319,0.6486022940668701,0.6742450521332097,0.5971353118529095,0.6722258536703541,0.7276375043555308,0.7087691735108639,0.7642546657160718,0.7999274418606616,0.968641774846394,0.8661056056542585,0.7578481751507983,0.6719186309243227,0.7248274325069889,0.7012862122897543,0.6516739885227036,0.6200905592528198,0.921889796548915,0.6344558179154797,0.6737570709415848,0.5465255218559331,0.5998691960631486,0.5469734006016062,0.521438763226148,0.7290362659013632,0.41574085509496483,0.4185622248465991,0.6689903478942475,0.41304177819551263,0.3702909710634728,0.33864359088605445,0.35682578841932777,0.393833808775909,0.4580379281026919,0.536946876523382,0.5595141442826196,0.7994629864350611,0.6646970337545931,0.6307059158323355,0.5360499688549216,0.49840856959121627,0.37609893704594033,0.30713506161809057,0.3096668636777605,0.4255663955541188,0.39400345388813596,0.37455112681573943,0.44639773601782834,0.4313715661070102,0.45266855988511284,0.4093289406367418,0.5000510570860166,0.47192827098691825,0.4766187515639363,0.5777344059140999,0.38816964122781483,0.3957892615527168,0.47745276086088445,0.8227110465224355,0.7423257887866055,0.6637899983492064,0.5510097680464155,0.5338360882674524,0.4979169669809917,0.44763215787998295,0.43472566775275606,0.4224068989446196,0.3951994317091618,0.49506363670800757,0.6131036779267431,0.9341642291830089,2.0526839201689744,1.1541083130588115,0.7925028670222569,0.5313770148450638,0.5614386144686299,0.47987042947155184,0.5084915674201055,0.46079043464565506,0.48694285932547926,0.4693401053139198,0.516387085734237,0.5213483659297075,0.6102836292786786,0.5219123272467405,0.8136329556512205,0.6787284833729693,0.6885790279594294,0.5010952211325674,0.458576590063516,0.44843615896339034,0.4665447513320325,0.4687696983032481,0.5049985983485478,0.5385554786083807,0.7605807580176519,0.557170652675486,0.6291795899596835,0.47439397293628194,0.4466202937800242,0.4426719940050785,0.42260215527450323,0.4573921125456566,0.6436383739462777,0.6923686333757479,0.9162910231450714,1.2595601993576342,0.9243927848050332,0.9172154777548303,1.0899940615538393,0.7576481142823585,0.6899805093466008,0.5166986762911957,0.4341305811537353,0.5690732248908262,0.5016238890797418,0.4904164401572302,0.670596073672573,0.6136668368413906,0.7439292200521923,0.6193754344880221,0.6379598287886743,0.770161092848674,0.809130384487467,0.8975519869180842,0.87335387489461,0.9868583352960744,0.9811589450190925,1.0733394225147135,1.1654423310128796,1.242659483502158,1.2843176911128453,1.3656741562386743,1.1171046727700271,1.381882057741235,1.0159383754635907,1.0030652812450997,1.064724008376348,0.9658054985403458,1.4797865297737947,1.0787331361755348,1.5701488482287376,0.9151623847225085,0.9493444312986581,0.9645339372556014,0.9212329493985437,0.750599660253759,0.7001275908555477,0.7924946375265902,0.7029425389943912,0.6903718569280595,0.6007579901018554,0.891557823319073,0.6333902271382496,0.6713374556344548,0.7053782999633439,0.5313944325027734,0.6847063551721108,0.7562229343774706,0.9797108376574246,1.1094139117127462,1.180585161089674,1.274794509324748,1.0012040622695884,1.029162042243341,1.3735824711890716,1.1430206166233556,1.0122756723063029,1.2157155570558063,1.2886719094969876,1.1249083815368015,1.2115940760773847,1.4146999468769703,1.4370372942897027,1.2842843771907042,1.3165173441862987,1.1819188901741795,1.097020527390187,0.9909094156137278,0.9527938063129442,1.011159599153062,0.913302573842073,0.8408391719245367,0.8531691063177486,0.8874996878438713,0.7329218592328939,0.7345089040235959,0.9755665455217211,0.8194419908538345,0.6951006087124458,0.7534987409861917,0.9566111436657466,0.8448963621443712,0.8606927309432436,1.0872280020790388,1.189436705375501,1.2042835823017908,0.9433348431436791,0.8477296650949715,0.8395256954710084,0.9361192337664432,0.8734841297461721,0.9921943097586581,0.9777774905323674,0.8154519314288238,0.7969789285348422,0.4902456431154609,0.41351452553147033,0.7693778444192553,0.9947740036515725,0.9407189734376022,1.7510564098994836,0.9567669911385873,1.0685350731845102,1.5846343525528397,1.569396151651443,1.7252798458582546,2.0008100067929555,2.4723481315504596,3.6380445718719376,4.496464213004629,5.859129439965768],[0.6884023716042018,0.5814469925492737,0.5291910997560806,0.6319185674770383,0.3675791301266729,0.4521673326831863,0.32694557597713453,0.36393383188436407,0.3061939337714502,0.30573250101982546,0.3248020833815507,0.43786363798511413,0.3592467704717916,0.37341238812722233,0.5476625250460057,0.5257606163169191,0.543309381555773,0.6644415998115191,0.8105031657037619,0.7206482759553591,0.821833849923663,0.7925057288160263,0.9227702120807137,1.0816682575498948,0.827854604956404,0.8337627020611744,0.6674447190879238,0.5737510039590663,0.5779584488994634,0.5383442975290841,0.6273859389858012,0.5681471535426226,0.779076541546541,0.6530603810530484,0.5865345596309687,0.6069222854353815,0.550772998320965,0.6138460713226435,0.5937760778844222,0.5933365443115556,0.6068203185373465,0.7649644303574115,0.7147675431296288,0.8629829674836127,1.1798035129779378,1.476520271147774,1.5215663098944203,1.0176401810737021,1.039030089749008,1.0020639416698378,0.911098147152032,0.9514909796058685,0.9506688423485771,0.6635668149689037,1.0927579071967453,0.6945294185711057,0.7186744343450849,0.8445245184086866,0.9724001952216912,0.934855642764015,0.8757209419505205,0.8766065998442995,0.8643088302944313,1.0876668446048883,0.8750946853250842,0.7800629068383584,0.9961754029223187,0.8603507771206591,1.0629061761765783,0.8954114134514285,1.1665439819431673,1.560787306099074,1.0813226463177594,1.1640622432063479,0.8654485118379299,1.7169335007364268,0.782877779693832,0.7490118180246627,0.7238391162494193,0.7283566614730681,0.6812711174067309,0.7283076850490939,0.9403229182637951,0.6055536177578125,0.6524182075408966,0.5674513362968838,0.6308350416028958,0.68877061900191,0.6544546250143692,0.6901817212189785,0.7298163345189063,0.9004785799369128,0.7855310984699818,0.6715344342482567,0.6209490929842258,0.6694626969829339,0.6419529521665529,0.5792101177383684,0.5648683202255612,0.8642550589347509,0.568468728407378,0.6411756350555406,0.490713793925524,0.5465886003057581,0.506315288309677,0.4951677527603579,0.692556838988634,0.39060714693856413,0.39559055424868084,0.6607501757570196,0.39629860666468764,0.3571928906228525,0.32442321542280345,0.3567610245908398,0.3902447581627758,0.453698634969221,0.5247246259929979,0.5438050971261801,0.7475581684589647,0.64384521839153,0.604768381365997,0.5238674086234331,0.48780369093478204,0.37714940173044903,0.31459562162844457,0.3187105991868436,0.4303434847737281,0.39414785993016144,0.37498203372269456,0.44288719916490754,0.4435016929402656,0.4520253159466692,0.41772897235416573,0.4883553417906059,0.4781919112344935,0.4844093536410264,0.5800467410436306,0.39906368259962754,0.40939952352902476,0.4727534152655787,0.8114033986004946,0.7036089615716097,0.6317406604854442,0.529738160799371,0.5089089062986633,0.4811501526679899,0.4329894779483998,0.4251135407004581,0.4075750243054888,0.3770816254035014,0.46992679184778646,0.5938818947637363,0.8754073224600397,1.96497006757998,1.148499273593187,0.7444534338478492,0.48556728204673943,0.51617704050335,0.4396644277544759,0.47888993421488923,0.4558903079429859,0.46948341500252255,0.4559509847658462,0.4996635400834459,0.5016965030910083,0.5972325701459261,0.5173585785470947,0.808364150187203,0.6893574713805458,0.7007731950647507,0.5050342648660535,0.4557001753027255,0.4391560321732087,0.4531767448242393,0.44645673419485865,0.46728557097590373,0.5017734622097392,0.7280188318372338,0.5264129429916126,0.5908256581613438,0.4571844580163583,0.4298587626978362,0.43116560591614234,0.4109170319436464,0.44831043891472355,0.6314940150780217,0.6767679660678012,0.9004932220488252,1.238672288497199,0.9026388243643555,0.8952670761792855,1.074546942626764,0.7520681635809191,0.6949322004745415,0.5250291786512141,0.44428083343520725,0.5795414969959154,0.5124607383081913,0.5044530132522392,0.6833128694673642,0.603610157941364,0.7237448916927149,0.6118718371752327,0.6207633403253544,0.7366696854798856,0.7786065349075297,0.8729688852189654,0.8323540303802749,0.9317657691987287,0.9412767842549022,1.0289425630215157,1.100420259499244,1.1853120173357625,1.2412926776306057,1.3016394147068062,1.067184690166325,1.322832353506571,0.9610714641710091,0.9528624835102457,0.9943394487635835,0.9007792849213273,1.4257599111407446,1.0086999082455927,1.4878332058641748,0.8639679834384105,0.8984636853585015,0.9304148544504489,0.8901611979269114,0.7076429323054334,0.6690740643828009,0.7796020407318638,0.7043483932973205,0.6685926930012067,0.6010981046738041,0.9212049115877863,0.6287968469241879,0.6698823695613553,0.7034441507169623,0.5361105619270121,0.6924936425411754,0.758084515974568,0.9717720827227306,1.099214446209367,1.130243180121082,1.2478436823885117,0.9836021596185989,0.9749467591030329,1.3100353279288244,1.1026496483331694,0.965682446537541,1.1363184478468877,1.2069382716639137,1.06132995010904,1.1279132143270152,1.310656867633622,1.3572656917185884,1.2021069440176961,1.2178320015825268,1.0974669129740293,1.0136507726168678,0.9306417069073695,0.8942144403152161,0.9287802905915991,0.8606664049359994,0.7958861057914449,0.7959262652125997,0.8303827551664436,0.7016230586932748,0.7056227539222818,0.920682993698316,0.7854270251292349,0.6874044788955646,0.7316036082757911,0.942836140342429,0.8305793447272729,0.8421410610690633,1.0701525827121114,1.1974489258667753,1.1584707258447655,0.9223120527279446,0.814266389456904,0.7984696950456156,0.9202239829141471,0.8652635029633245,0.9919935717083885,0.99463485769249,0.8261556966248889,0.8075556194016253,0.5010410316090029,0.41845462397049527,0.7772070221283055,0.9750662743465758,0.9025208912781799,1.6629649514863474,0.9255180897540134,1.0314578061326354,1.5148233287285389,1.5609203477413995,1.7412780638212357,1.9489428077922422,2.4170475001532705,3.6245253785801377,4.439583953680412,5.87702602698104],[0.7674389200036388,0.6344920077415712,0.5935844650749864,0.67773648199672,0.432158968681697,0.5199556945509701,0.429171092667095,0.49123053234095687,0.4352503925794144,0.3972161358941435,0.4170591733724731,0.5629313707988433,0.45978096389462103,0.4588258600087364,0.5899567498714738,0.5901066255079758,0.6072546612329657,0.7339932514651234,0.8814702826155685,0.7944783816198353,0.894141315729796,0.8632737205197335,0.9877591105746762,1.1482903038077437,0.8958558346214904,0.9016719721967857,0.746806061088262,0.6442100042177625,0.6490357209612139,0.6104933545162811,0.6939500976789503,0.646664090150384,0.8783634320566275,0.7159747211751941,0.661994545093179,0.676383273788655,0.6194548569758046,0.6787539871658731,0.6704851746600462,0.6818672512943956,0.6898446324949392,0.8377149134783476,0.785772012909959,0.919883353474053,1.1766247124264742,1.4412103208719296,1.475212048842114,1.0465572347889736,1.0758746425158532,1.0460727962182088,1.0112452398031146,1.0005886260269634,1.0223891584415745,0.7380669509259855,1.1421005718569244,0.7674854170530377,0.8003385660595409,0.8821212093684074,1.0162151991939024,1.0020530247626036,0.9400509818800556,0.9503857692711887,0.9328845161143268,1.1816794946079967,0.9325585647564684,0.8514809754775687,1.0511764915777322,0.9272379839099139,1.1348933244272728,0.9545542114219443,1.2727015341619023,1.7090511361595455,1.1644150774336397,1.2349481511969622,0.9160685157449044,1.7267530156540425,0.8362699354486849,0.8078464524498973,0.7872971826313587,0.7898950614624738,0.7537601056315436,0.7865941282585216,0.9550947168633368,0.6887627830558911,0.7285363813847457,0.6450975440044313,0.7021887927778426,0.7544188456073401,0.7198044366347129,0.753973819365774,0.7873525105596588,0.9398806696158031,0.8351251391693431,0.7311037241252111,0.6792765238699785,0.7166503971616057,0.7132499669180467,0.6802594152613607,0.68246768855662,0.9808157596735576,0.6807717424776119,0.7221136107842602,0.600481014432861,0.6613694601195598,0.6007776608684438,0.5892678949045942,0.7416668126821797,0.5100581360236147,0.5140316442812861,0.7224458873028239,0.5244073298733803,0.4772540271199307,0.44520506640792473,0.4356103319034949,0.47199871229630275,0.5239163887676478,0.591083234381481,0.6208113599972712,0.8297099206695768,0.7153181823660693,0.671153794128357,0.5791262819540814,0.5537744735243912,0.44624134455657644,0.37803994214740844,0.39749859907849977,0.5508501731648151,0.47983670890992397,0.4857432566615604,0.5469517417690274,0.5282976585584305,0.5458295736550905,0.5225171241241536,0.5800016363533352,0.579367639292506,0.5609087896332823,0.6382555942141674,0.4785659296938092,0.48360031717306523,0.5461047218720148,0.8732044858343282,0.7857956208570818,0.7039346287499995,0.6134807447097484,0.5842248960668567,0.5517299038004826,0.5221528956889729,0.5072941032839188,0.5068363280413697,0.48018444861420245,0.5737694020384677,0.6900268097807413,0.935504884465266,1.923967662831974,1.2297707411579673,0.8476887608353277,0.600564103977738,0.6180619740803558,0.5472590888640003,0.5678968074797889,0.5431091511369469,0.5432622964515132,0.534738117886714,0.5668162330432839,0.6076854554671851,0.66827857812442,0.595855274980061,0.8423082455451786,0.7333759729044844,0.7458057143234252,0.5797379240616034,0.5382857093268091,0.5274392485368221,0.5410904724074889,0.5284833308502966,0.5562125926840642,0.5908596119446548,0.7983395000757263,0.6037972960134982,0.6730372707998536,0.5415805744465567,0.5242773532521188,0.5242168272936935,0.5077712271572036,0.5290179521558734,0.6953213485497568,0.7347826475111934,0.9591831677466506,1.2889094212718184,0.9632461666513712,0.9648976918571783,1.151629935829294,0.8173797690944996,0.7417125603010482,0.601192212528264,0.5203945822689564,0.6476180365317199,0.5776901767844347,0.5542753460264834,0.7378306420216534,0.6516302101361283,0.7636583379964643,0.6553068322414755,0.6492460766922578,0.7660695502945752,0.804120544793668,0.8597023316869289,0.8360477446697819,0.9437571624477558,0.9539593339780664,1.031091125599483,1.102197390018715,1.2018168245781005,1.259088382197906,1.2860532883427138,1.0461981783208578,1.3177931895662816,0.9364281509164448,0.9408082164391357,0.982392703542811,0.8909053996542705,1.4873285497099522,0.9901760093037485,1.4637907102530008,0.8968218625494785,0.9322754638181523,0.976495437141425,0.9585229703600938,0.7375973327700617,0.7044483717031911,0.8459893159590275,0.7644518643320785,0.6682444995412797,0.6362130546466804,1.0037514291588467,0.5926866681309458,0.6619926543935358,0.7074989154393541,0.5687456997606157,0.7848569384446629,0.8405748766450755,1.0409091408642206,1.177706446504378,1.2015735776031438,1.303999781411534,1.0407111969846001,1.009167782010678,1.3520323109164405,1.131611401822574,0.9981527857639494,1.1593342276038952,1.2224572924099402,1.0856799753777933,1.1492285831884417,1.3207820257319507,1.3739842150673933,1.219360278819764,1.2307857796011192,1.106016952949009,1.0289256619654568,0.9541988070692903,0.9231165337527467,0.9350356863474271,0.8707051318112093,0.813683102509282,0.7996965446109817,0.8306906091567611,0.7139347140176602,0.7163541451392827,0.890629958275784,0.7731295967526902,0.6762698638110509,0.7112890352063433,0.9253915180866196,0.8243929449034589,0.8333492069269712,1.05922982753879,1.1851903446285315,1.1189047009998647,0.916739020375397,0.7986846016048683,0.8027976666740786,0.9325785516097602,0.8696441327950928,0.9965953914357147,1.0288321476619642,0.8319279746733136,0.8222969257528315,0.5540277292839182,0.504334492719283,0.8088349390843783,0.9622210185168828,0.9153202744711877,1.6007212944888116,0.9374859039688482,1.058152003750854,1.461424672424697,1.5199795222382162,1.730042586555052,1.842575963815009,2.3589085179570097,3.516731307593449,4.401221914004261,5.868496676071882],[0.9406878593690001,0.8287926575255751,0.8047368678843203,0.8170023712484745,0.578142391922572,0.6834838099174384,0.5758199416684077,0.6037755216344226,0.5935679367145377,0.5068957924986356,0.5127967965700054,0.6253182795963399,0.5045542967815648,0.5048396469263312,0.6118818319758528,0.5929588869959097,0.6117763342453015,0.7320425818616794,0.8836160762630425,0.7943716763258591,0.887347653889186,0.8591443886539994,0.9818845802144698,1.1117384713936183,0.87416472472041,0.8791317836226215,0.7498557032111345,0.6601829278797383,0.6423966461325239,0.5981815975237756,0.6539542732461172,0.6058243809250902,0.771377649612179,0.6525655119069047,0.6183815914615133,0.6513944889257317,0.6030687802903388,0.676379719601103,0.6484486617077935,0.6510722855411504,0.6710244743206604,0.8002475515095157,0.7686235701627059,0.8609755062200255,1.1260386936379911,1.4206608231320461,1.4566120564360818,0.980607563109064,1.0107980999242958,0.9720300806635415,0.9333054320289113,0.9399476936662676,0.9434702319458433,0.7152035219031423,1.1303284740956403,0.7370410637894917,0.7815235222053009,0.8765620610937017,1.0066638981259026,0.9463425540688828,0.9155697188703176,0.9154339442226775,0.8744790534616635,1.129618261657206,0.960431209268847,0.8466204537670691,1.0724719950702146,0.9245346726890505,1.084161194728102,0.9728183773162364,1.238870785099834,1.609207527095062,1.1571155951659111,1.1925636826471941,0.9183142905602927,1.6837843940954897,0.8228349407762471,0.7664514808236784,0.7422576225747608,0.7504609363784702,0.7091351257794499,0.7644654749779677,0.974794801835538,0.6639352569664129,0.6988993204837842,0.621607611146127,0.6863855931567139,0.7210048661236864,0.6897749127039516,0.7055408051145187,0.7479451075264577,0.8792581045649491,0.7781894060048558,0.671046347178839,0.6294059015356589,0.6661716814129464,0.6358767386799428,0.6193886613064715,0.6566151132301624,0.9539950549315773,0.6406340639904522,0.7600679285024582,0.574698705479182,0.6567907711765695,0.6127746382322525,0.616636592189638,0.7791952060058709,0.5572748052304284,0.5817006034260747,0.7976043732583196,0.6080885237300656,0.5301565057714193,0.5256392110329804,0.49352753808719163,0.5095994078431385,0.5687277539190947,0.6145297942073662,0.6322248812108024,0.8549098874670995,0.7471820530232719,0.7224436136489563,0.6239829485079313,0.5783584725462784,0.5174574148700846,0.4841668281249329,0.48344868355483844,0.6622643874003804,0.5546852573150408,0.5694027465969348,0.5830382553505165,0.5932269614947772,0.579972590565091,0.5674636601320951,0.6086181845797419,0.6079240008238879,0.599032356193185,0.660188452318738,0.5283912218161673,0.5390114374551814,0.5785710051888705,0.8319056582546006,0.7277931014476999,0.6855528912518293,0.6263582387982539,0.6064728211796953,0.563843916659021,0.5339661439680805,0.5243241350597078,0.5484126856073183,0.5559869356814298,0.6499919321963423,0.7774832696218537,0.956928307260322,1.9055004222158403,1.2575784494320583,0.8550616138291968,0.6473560199608724,0.6642078417834231,0.5516565626877487,0.5866878287193943,0.5767642876153882,0.5525428765315767,0.5579243170165049,0.5745763225324738,0.6272176762875975,0.6663674437969997,0.6194373455586418,0.8108994321692259,0.749774902803637,0.7492425669273738,0.6102718985631789,0.5723371144921061,0.5530229604323459,0.5515192900765521,0.5352824456419781,0.5589651165454603,0.5824227320202862,0.7718174847164955,0.5935110197225397,0.6525810671696441,0.547074661107341,0.5354312328343881,0.531013321755452,0.5222081823646795,0.5444782742097909,0.6785084801412551,0.6974862807773379,0.9322281214402139,1.226988815705002,0.9316979093920332,0.9498154887671977,1.1195123906957232,0.8300264694934013,0.7733777884128507,0.64807134505932,0.5639656760401537,0.7016704041765855,0.6317559061597499,0.6386703155703849,0.7959925453802957,0.7488176030841138,0.8471646076602917,0.7615207034903512,0.7726152263788446,0.8571573400801028,0.8975753185383889,0.971315986397154,0.9313421257060099,1.0154818831115502,1.0408779370477483,1.1114811881521867,1.1517162429703212,1.235718991569295,1.3423496035939309,1.3521282795675633,1.1422201539702843,1.4180855074465135,1.0464214090846553,1.0388240437431233,1.0506411677837226,0.9713293481448896,1.521879541863559,1.0397226779202746,1.4876942079907665,0.9400809592523984,0.9832766745499282,1.0217828782355873,0.994232593929285,0.8153809884154993,0.7718376763887584,0.8951561821993741,0.8461458784585459,0.7568227421841023,0.7276793015382984,1.070083968508237,0.6952531839188659,0.7448972706747004,0.7933290251863936,0.6724375065950449,0.82114472073638,0.879606974553343,1.0875217088810407,1.1938465700649707,1.2371748943855396,1.3295290196109997,1.0820987921416911,1.070422500334547,1.3719479415422553,1.185025550464586,1.0536756746346339,1.1833694533575878,1.2419708137999868,1.1196874685827698,1.1658040888622965,1.3154019801951435,1.3800996957088032,1.229084454604019,1.2314578695903764,1.132946788444665,1.0654638094436186,1.0069015887377148,0.9776021959955199,0.9878624326005627,0.9551139493820678,0.9008755065552265,0.8945446625174888,0.9285204231922559,0.8250720861466269,0.8308546171737424,0.9828581558147934,0.8842606557239101,0.8010595587791403,0.8361721930518052,1.0245868327579206,0.941840888416455,0.9550479098872261,1.140833248899432,1.2816473331550062,1.2026930440062131,1.0391409029940357,0.9126021682969152,0.9226221040596088,1.0614645596595869,0.9856583025276913,1.0859714903291324,1.0865275019209446,0.9213726833755752,0.8897577532587323,0.6508651789940394,0.5962557392531692,0.885159194175027,1.0735770546812398,1.0199036481412178,1.6173071731274107,1.045489062463531,1.1265839899989687,1.4655730090985428,1.5460041458766445,1.7876908973328882,1.8290425018292629,2.324423201300039,3.495323121373687,4.388428943040945,5.912369901810038],[0.6956043971691053,0.6216381798174787,0.6065698304730607,0.6445513960116561,0.423408945472099,0.5040229235593662,0.39444328139677814,0.41682750209291036,0.3820139416061867,0.3688517849370174,0.38209104584873005,0.48866966286736985,0.4055096723930572,0.4036825569488864,0.5482053251656563,0.541827928772814,0.5594710818887428,0.6712284491864238,0.821663626181622,0.7407772777757916,0.8356479607143686,0.8141544248756653,0.9412824175778478,1.0997399371989403,0.8609971605472837,0.8667888051998474,0.7011949856613786,0.5995600650268139,0.6039611341988843,0.5606550437833615,0.6159983745204316,0.5667714431411455,0.7591069984253523,0.6574351670935326,0.5970637011462893,0.6281528943959114,0.5703198116321921,0.6380134831529168,0.6427835890676787,0.6343871230628839,0.6547492053660828,0.7978550853067148,0.7677079981669941,0.9226590450689676,1.2646181459264807,1.5261979796496798,1.6234354346706232,1.0953061881619193,1.086625980468253,1.0840218081889572,0.9678399062677485,1.0314576755361056,1.0093338276726527,0.7011303533492044,1.0964413669334003,0.7434950762510878,0.7676374079493838,0.9190978477243059,0.9428953860065054,0.9846260900405323,0.9160905803862835,0.8759778816293469,0.8755261682347356,1.0716723243345418,0.8982709791952991,0.7977204423752343,0.9985517769553822,0.8591863247543139,1.0627111865978314,0.8733372376112808,1.1111900981005138,1.466387847046704,1.0242594977400947,1.1596506719876314,0.8598564624306415,1.7404404175615569,0.8015746425788393,0.7683236516695569,0.7376070954746251,0.7545231725826607,0.6944618389632287,0.7636120890057696,0.9278551371648242,0.6310086291940539,0.704298852806387,0.5966194053843261,0.6611082032489984,0.7151889125377731,0.6899460122467554,0.7061964133585862,0.7432130276257362,0.90665619120178,0.7805488881922037,0.6712848037444953,0.612917126917752,0.6729299742887466,0.6126918438083184,0.5997245563346152,0.5914000934954398,0.8472090228608272,0.5827222385340465,0.6645275441747369,0.5161268127757765,0.5563476166194129,0.5251829959971615,0.5144886700919659,0.6744195437943552,0.43423408519481627,0.4422888841638663,0.6992534237709854,0.4436716640949084,0.39062966566411617,0.3885868486220332,0.3946127460784242,0.43135355990751706,0.4749090922768058,0.5623792826593684,0.5834716592161896,0.774054284019269,0.6616652709917842,0.6228877869262922,0.5567676155150436,0.5139890483377048,0.39657788569608193,0.3485196992813867,0.372286305737991,0.46491904116728605,0.42460205793354344,0.4367622101766044,0.47974631822189223,0.5011728638675423,0.47684424110616985,0.4693031210973941,0.5167775048990174,0.503748402260319,0.5070507591925308,0.5946728651440004,0.4417433199857171,0.43827393847339724,0.5265883202673044,0.8735615387621571,0.7642977479209093,0.6658867123712365,0.5786219083443078,0.5537343773948524,0.519496211157033,0.47296372665125985,0.4692018395183364,0.4439199281918456,0.41341723666731317,0.5052437596493807,0.6209771083582908,0.8085339174255533,1.823006184582488,1.1496035966650795,0.7311959679589088,0.5192681938172112,0.5275636075478325,0.463145269845231,0.48682314440722047,0.5194939439888857,0.4987954440909326,0.5023844882435234,0.5466840385971844,0.5344095511240641,0.6456623281374397,0.5759113775908582,0.9068484649066411,0.7475321106218714,0.740474531308216,0.544459187248086,0.4964805991961861,0.4775589039003504,0.4849716341871614,0.48014575316015484,0.49180417199544396,0.5348945682101411,0.7170949873307203,0.5645501694536805,0.5851905168114024,0.5031203449355058,0.4537614645996954,0.4715569577427892,0.4668383356446514,0.4927352101339189,0.7067323675735909,0.7495411122723821,0.9601575686155301,1.3035604740284688,0.9845982729471948,1.0060909176859987,1.1270066184202812,0.8134315451237731,0.7496891338132674,0.5821985415268993,0.49236196120823494,0.58994630749391,0.5751222293986247,0.5566930781122974,0.733613949285798,0.6062102212228532,0.7043249680561037,0.6238687438820825,0.6230815221129254,0.7089578504943272,0.7688504968122553,0.8764189532835623,0.8213597207702733,0.8911951309085749,0.9291167357537345,1.0166342711609053,1.0691498405415265,1.1590070666831251,1.2286785677563448,1.288797614491513,1.0702759738589582,1.294927752691028,0.9466584215858113,0.9425260007932721,0.9602932513668907,0.8667711645367759,1.360914155004745,0.9672439698605311,1.3791536471407262,0.815387056268449,0.8336314854440383,0.874231320154577,0.833623017930691,0.6630842685290763,0.6298816488200275,0.7441219516453582,0.7326489659069974,0.691462539168483,0.6217491604677453,0.9401326588223613,0.6829892360715085,0.7124188714232832,0.7109252055164075,0.5663804588294514,0.738802831283119,0.7601182471673301,0.9472003691503956,1.0631986783568184,1.068706069989645,1.1971036818978489,0.9460835488727984,0.9107505618931783,1.2252849227790779,1.042893785054128,0.9094420680206364,1.058279638903506,1.132249417131398,1.0033322269340803,1.0489617298191076,1.2215024207884568,1.3012281953723437,1.1413299998295563,1.1415274068827947,1.0340618212568309,0.9345610834919633,0.8578361694623345,0.8213572165958181,0.8530268891911075,0.819084924243992,0.7484090236138166,0.7586220536781028,0.7979370233194587,0.6895250329782309,0.6982864366158068,0.913524060174332,0.7901162499857922,0.7215722387918831,0.7552021090061641,0.9601139695042897,0.8564873273288274,0.8484035649227472,1.1110115319199958,1.2119003550024996,1.1609109794796637,0.9212036264536679,0.8063540512089744,0.7912471448647086,0.9085377367524231,0.8566728410716247,1.0072269232426567,1.0145738118994316,0.8658001650096356,0.8024144715270128,0.5536561784808974,0.4752535126852042,0.8374141890504796,0.9420331032663817,0.865202014703043,1.529495466307525,0.9229793971497867,1.0322681789530448,1.4780285398751614,1.6175527988203953,1.8704795225745312,2.0021561930999483,2.4241399304303326,3.671225132533066,4.39416407044161,5.866784527961084],[0.6885937404743753,0.6167877230017891,0.6044990423657166,0.5946082492553194,0.3770929671739738,0.44495893158750005,0.33128151250827576,0.3639121523273107,0.3283417623150974,0.3319956558928225,0.3582050868707287,0.474497283172746,0.389030323298299,0.38879020019753224,0.5461473411360988,0.5254609850390747,0.556944555891224,0.6513808472682839,0.7995589521124309,0.7334889801627315,0.8064083886656696,0.8010353847784996,0.9164473302295384,1.0539541067887335,0.8617944716502863,0.8644846969752794,0.7080983733770447,0.6051592784350415,0.6043325358142174,0.548152411185506,0.5934910221386356,0.5386178562571452,0.6933169805883735,0.6264350331488237,0.5699235810978601,0.6155305702077645,0.5567373663703227,0.6330274915757903,0.6516076551288343,0.6392599567216997,0.6600920393655934,0.7927900446198528,0.7741735252380816,0.9393153703624809,1.3044534961343188,1.5570344307781083,1.6752619542585505,1.1302232948351474,1.0976518467150185,1.124854410722376,0.985385929600124,1.052467379690193,1.0180576038939966,0.7123349336756825,1.0882750290433576,0.7535599738884335,0.7747602295238217,0.9504068106819199,0.9264958569670791,0.9959733085906727,0.9210797111054465,0.8687538717510861,0.8560941205755523,1.021163968443797,0.8922845170752209,0.7874261685599487,0.9744489626748134,0.8272816446789882,1.0235330066668529,0.8453900569360827,1.059569624096059,1.3641410281776172,0.9656736177484369,1.1234917392418153,0.8096422153118358,1.6870924706725332,0.7669362556688157,0.7273430692743715,0.7104045080409578,0.7387575731048998,0.6650040066220455,0.7603161114518963,0.9320502456123375,0.621019113859177,0.7072268457043513,0.5922210059378048,0.6596382046603421,0.6934348825048088,0.6824433751550973,0.6846362743152195,0.712143871943471,0.8632686017750936,0.7348503794110697,0.6270851302823548,0.5886928349106657,0.6706049673425737,0.6330799288385627,0.5829960019677326,0.5637613995621373,0.7848976710962255,0.545518917808461,0.601340658799714,0.48850588445200804,0.5163236227046248,0.4969682222646909,0.47345116987016517,0.6162372665675627,0.40219980683456596,0.39234805464735967,0.6476284942192855,0.3748466910377444,0.35731782488106223,0.3539437570817201,0.38636004642841776,0.4357276855039849,0.4708852720750863,0.568268123186028,0.5979769266592518,0.7671271914013943,0.6507113970895281,0.6232192998429394,0.5625633383403051,0.5060418241361884,0.37702393993738814,0.32966630577547484,0.3591919755972663,0.40669776701504823,0.3968071766116804,0.40865233408136714,0.4479622744708015,0.4556083499888528,0.4231328946338342,0.4444713065510882,0.4975643468675479,0.47381576653977303,0.48661615094962496,0.5889013091412558,0.43183792633220336,0.43396173587122044,0.528903578148794,0.8871752994247426,0.7901241067260133,0.6870408399795911,0.5881184816854228,0.5678884382965212,0.5386426088616504,0.4842001191308614,0.46493850012326005,0.4128208525589474,0.3778772512684347,0.4756692846210715,0.5969848492692558,0.742505682661854,1.6650087316265547,1.1261649104701623,0.6701444448948892,0.48500203731398106,0.4729666699448206,0.4322826971195236,0.44094142317976853,0.5106235785956269,0.49661837171814793,0.5172883786777747,0.5554367219846537,0.5202790190441605,0.6420262819558837,0.5842276965366847,0.9403557369674816,0.7578374424446261,0.7407124764667055,0.5526267927303387,0.49493865132074505,0.475839598578932,0.4835845897910714,0.47908264252496274,0.4874463134298471,0.5353642615843923,0.6901876510045434,0.5666838609404053,0.5762110862667786,0.5145994534914925,0.4352184556116429,0.46787480862294123,0.4736201228855346,0.5031248997318717,0.7392254484055334,0.7776117155687219,0.9637939592973157,1.317894929110023,1.019038579006833,1.0298000884425864,1.132886903459332,0.8199698255296112,0.7551756435934616,0.5763168232945671,0.493019231968561,0.5756775042035522,0.5478856011245202,0.5177610584368433,0.6963949742997952,0.5280394031505726,0.6228528590869853,0.5528085544079401,0.5421287099093856,0.6092811951529518,0.6759265255402886,0.8040911658060921,0.7383071744764139,0.7926209878222753,0.8512929408671702,0.9384744969858424,0.9803775114306351,1.0809352393715133,1.160442751715241,1.2219056629212666,1.0078615489319773,1.2058381426019646,0.8678398852680004,0.8511333141364047,0.8705922565796482,0.7663953734647244,1.2775860290827272,0.8744654799819874,1.2681934033877422,0.7046206607904869,0.7097145605127534,0.7707444107863599,0.7481184059525992,0.5690834401974577,0.5386715247128872,0.66777686362932,0.6827076870219246,0.6369950782287191,0.5642525442272797,0.9064695068582969,0.6852579522823034,0.7054645351163231,0.6855975189712195,0.5202077211247146,0.6997205031402675,0.7055175538607263,0.8731528405524379,0.9999294366646317,0.9922223292805648,1.1344153493662363,0.8780530051437403,0.8034714189341005,1.1062665267442113,0.9472734217943036,0.8086308626627989,0.9527300748255109,1.0391024667791495,0.9140588777261587,0.9428146048784801,1.1128531117851967,1.223168127011951,1.0419956208112315,1.0295469807001998,0.9290007357013808,0.8122277530357371,0.7436911311590889,0.7079574545925176,0.7390698177671103,0.7181129841239096,0.6463695599070173,0.6615362148888481,0.7048293227914629,0.6113017463990013,0.6294388721603845,0.8515361450209669,0.7358387894617423,0.6815452259459369,0.6934426981547783,0.9085806397502566,0.8006215974624992,0.7885767132856605,1.1215169662805673,1.1994640286665659,1.0863001230490892,0.8643506417279083,0.7439512821477907,0.7304525241541641,0.8634840677678391,0.7918906362179207,0.9572442361003285,0.9740820068281587,0.7911832950518425,0.7006477155615765,0.501957938320436,0.42958257298899594,0.8172048446525888,0.8768370804847326,0.7891478240477725,1.3774173132231806,0.8750370220026815,0.9842870787730879,1.4163104489538978,1.6588504190671247,1.9478573901492782,2.023424612184986,2.3824266538894654,3.643491821294215,4.271463329735363,5.752372604674843],[0.6877065388640135,0.6439231515744434,0.67618579145537,0.6069561199947899,0.5215503211911312,0.4913161932980666,0.4289542905348432,0.4874535794805488,0.45665886916992826,0.5340127203616154,0.5853337793147662,0.6754495718646809,0.6496833180435224,0.6567306771201501,0.8142786559840989,0.8006173794702917,0.8034654381969913,0.9236607290653788,1.0520090188666886,1.0164781083969225,1.0637205403659835,1.0702220000547757,1.1671368916445473,1.3026491383221137,1.1128348056898025,1.1177572227273749,0.9825392309725369,0.8836502902051546,0.8859964344806389,0.8203735548901656,0.8894144479482864,0.8376221706806231,0.9363493177646286,0.9215840494372836,0.889190225670263,0.9185232829119121,0.8549954661388023,0.9273613599998078,0.9545557168702073,0.9371539193762287,0.9588938753565247,1.0688703791628575,1.0853437044986611,1.2245146071712616,1.5600425681277736,1.7559906024076695,1.952001215412718,1.4203143029546819,1.3391204187252936,1.4066546885154945,1.2499881032615856,1.3671021718159275,1.3275005639601765,1.0208335477812054,1.2951281864218052,1.1040602978161709,1.1084542801188504,1.2343787873700007,1.167788194462403,1.3141735304405782,1.223729515125783,1.1521172740747914,1.1328747867967788,1.2606889190742339,1.166226591743012,1.0869652956751377,1.205581877980427,1.0746238595266946,1.236727411787891,1.0763182195068615,1.1730051077173198,1.3928132187393194,1.1826755185327729,1.3790155135769424,1.0910913999069962,1.8455104911295726,1.064231121251703,1.0409494360833216,1.0120671034905762,1.0256159870222135,0.9701849151001095,1.0580404689230414,1.104304189272865,0.8902212576901021,0.9902374036888912,0.887745113155996,0.9606389039352632,0.9933352380000697,0.9993729741566336,0.9843020053878021,1.0221141475084514,1.1841714771129979,1.0187991375562957,0.9133976166199752,0.8692336986378407,0.9395069290024118,0.9105156333663533,0.8469023958258763,0.7907373777990295,0.9022744119248876,0.7850168581450341,0.7556474931099166,0.7630331705787791,0.7059110545737657,0.7133796981069809,0.6417367307312115,0.6987955639277392,0.6017432120566433,0.560584427569487,0.7177521410456028,0.5235112709216801,0.5457727657823106,0.5431435588395752,0.5907205486666258,0.6409284165832912,0.6703893276460712,0.8081387784156185,0.8287894556763178,1.0372508028073084,0.9018668732636415,0.8679140720529905,0.786626264756722,0.6953451352601433,0.5564680988572587,0.49566533393236956,0.5452062369932503,0.5200194041973704,0.5657076183389342,0.5820029996762914,0.6332208349990964,0.6310001992036861,0.6039915866023018,0.6504899829156945,0.6927483929968015,0.6590267582676387,0.6641574549407413,0.7488112861696725,0.6381242225426164,0.6477501382890746,0.745430578698694,1.0484557654322721,1.0092624023882613,0.9290758319430289,0.8514179928769287,0.848926230694625,0.8282530359301054,0.7474617855708418,0.7019522739674111,0.6327225115474675,0.5734812797702674,0.6378951715734542,0.718089922437176,0.803429265171149,1.5749682694185394,1.192873843234063,0.7892994981992804,0.6840415145480001,0.6395650298216956,0.6842127056995893,0.6390740596831677,0.7348545505577696,0.757584416310059,0.7854748916852862,0.831391856420445,0.7415145545089467,0.8612871460773099,0.8261420028371743,1.1624572899162309,0.9449077271028538,0.9052911904324065,0.7624403799980239,0.7096075792070287,0.721098670766896,0.7379390024459778,0.7530122740183065,0.7304476961550112,0.7900699433434916,0.8996471124295838,0.8390415769760408,0.8169560318717114,0.7880666146651352,0.6803249002106663,0.7377132091090208,0.7566025129095145,0.7762456321282679,1.021368705672173,1.0664748296029096,1.1973366837618418,1.5098927446202934,1.2539018671474667,1.2745833511200562,1.2813731314959156,0.9883244967953274,0.9063719975525396,0.7681213629306859,0.7121930858694069,0.7377316268475385,0.7382781398828714,0.6800696869091692,0.8078548636387859,0.6183548911616853,0.6715675610288196,0.6296939679102862,0.6097914988073682,0.6427239323654211,0.7075106414690852,0.818965208065087,0.7624541211093587,0.7910286334420877,0.8572934571474746,0.9321469556080596,0.9675890878688129,1.071554856483862,1.1436284771681822,1.213390153231168,1.0189136544358908,1.1718784885449451,0.8717877174113936,0.851469874793743,0.8644414749391751,0.7801963802451638,1.242112060232275,0.9005847294223677,1.1635249840361814,0.7314833205868674,0.7255490206364966,0.7759991233107271,0.8000876314248507,0.6638801652069668,0.6139823895615923,0.7364483039956167,0.825695177910372,0.7576512751390082,0.6958516179483459,0.9788092471047396,0.8800197235678954,0.8725824229087126,0.7930320639228853,0.6529796819919678,0.83825622705078,0.8126582009072318,0.8738880261427028,1.0250862232766391,0.995484084117661,1.1555121639777073,0.9029522381136841,0.8146495283986883,1.0933458468360169,0.9537736208420362,0.8127943361474727,0.9352518297093352,1.0297305146334803,0.905928085863633,0.9130043224233636,1.0787447234005914,1.2067966244904125,1.0105539484517283,0.9885320685387061,0.8977137698846216,0.7781924769153659,0.7355573712329645,0.7097559957688993,0.723743809288148,0.7210339125702935,0.666112994462402,0.693118024968996,0.7262135182349404,0.6700997000076834,0.7040445288646469,0.9023480056329335,0.7976640785400224,0.7898416978425769,0.8000301845671097,0.99964500837891,0.8989782028178279,0.8554460166196837,1.2494295847985062,1.2323299929380402,1.0970809733557265,0.9030791163320859,0.7764043919177253,0.7564891074404033,0.8921733696276812,0.8123960449805544,0.9952314045433385,1.0318009715780228,0.8599277037830048,0.741411470543954,0.6355074192994226,0.576119640478875,0.9137097083918702,0.8879143442546602,0.8083374447933963,1.2721244494282753,0.93229497866811,1.0259624006491177,1.4070783510015172,1.721637990059847,2.0681603713345473,2.1035760323301838,2.4090410041805277,3.626640775660494,4.193136815608792,5.658920891595304],[0.6724247775639152,0.6142634464065498,0.5805339460667454,0.6030256829047546,0.4392817206407958,0.4418180828741478,0.36566226695188087,0.381580635479127,0.36064559614502323,0.37389567511807403,0.38358086220655446,0.4666198159327108,0.4147123820584373,0.4386552652792941,0.5612699165597869,0.5342309187474588,0.59167410936381,0.6823354720344188,0.8600239348205828,0.7908257914006265,0.8698671518085364,0.8692053845025337,0.996093119746002,1.1426425829918863,0.9311952560878609,0.9273313400301048,0.7704779489963876,0.6462212406064562,0.6308821591550048,0.574111518041779,0.6170679855010305,0.5579047720873023,0.6956263491169801,0.6556042935235562,0.5933639877854805,0.640096939704491,0.5822328419583656,0.6606872321694698,0.6884497155824265,0.6740891627359659,0.7087742279297615,0.8337812139219911,0.8353481304626437,0.9976482317263398,1.4060703878720908,1.6454502954032109,1.8192371543984849,1.2265874368626288,1.163018515735548,1.2261997677003342,1.0468505678466353,1.1436076228674779,1.07919618523784,0.7613368037381717,1.094186982114397,0.8234844396538733,0.843875396256213,0.9982814038544279,0.9485767681887338,1.0754298863931584,0.9988084390556408,0.9222076853672774,0.908856660518846,1.0927093705401727,0.974015301150679,0.8533494620477419,1.0454014782640981,0.8829829502020721,1.078146024613524,0.8955794976659298,1.0682452878142774,1.3570855313666526,1.0262275017596456,1.2080895897202988,0.8835106094276565,1.771957609883029,0.834660623374093,0.7905294390485575,0.7593790848946755,0.773613538637103,0.6887289059617616,0.7840987228992786,0.9451735317081418,0.6271395452290413,0.7302388712969139,0.6118179511852414,0.6889310123412398,0.7070478688878865,0.7155531568542538,0.7176475780354785,0.7597410731564285,0.9346864579126598,0.784762885099212,0.6598707227527832,0.6089666030244147,0.6972751978848707,0.6448965365074861,0.5925222856538539,0.5685459960706666,0.7618898969463341,0.5535024035289281,0.6246697474331167,0.49752467012532153,0.5079654399143314,0.47061789386632524,0.4632460570365915,0.6161387874004579,0.44138319798403913,0.42149171485795384,0.6564370838315821,0.3732502175003321,0.3642431292190426,0.38231583397386526,0.4285291560851899,0.45860208605500385,0.5055110158032301,0.5972099422591921,0.680734789374025,0.8405305469297025,0.6940581370534463,0.6735653537661878,0.5903672086788064,0.5816034389332879,0.4203032401592021,0.3845212546212584,0.4082384906414896,0.38847728041895396,0.4227263438569053,0.41561315695081086,0.45130465672439707,0.5084352065070379,0.4647341943979015,0.49187238149794077,0.4842407326802945,0.5111195159934248,0.5434844815822418,0.6569869353083415,0.4795057127952983,0.5116161152395914,0.6017757709194862,0.9960233632577652,0.9225347433774136,0.7370907210504537,0.6347841610610122,0.6120851764503838,0.5769369535574719,0.5151878054065075,0.4916397551909073,0.4170059198231622,0.412998510112627,0.49861464646428294,0.5891294627785758,0.7590726032990804,1.7227616255161726,1.0908674015460886,0.668107672429806,0.4894872761948759,0.48735618874358316,0.4401911289405902,0.4503230434295711,0.5149100535436574,0.5276318173578227,0.5543259624743789,0.5867013085630467,0.5393568032340941,0.71276178277236,0.6857597409248636,1.0970104872301225,0.894295828791427,0.849977124782076,0.6209007315938297,0.5492351650960243,0.5093122255775424,0.4979853449685447,0.496513296113816,0.48534250077777935,0.5466070014442772,0.6880365085321506,0.5721684986744673,0.5793402268099587,0.532968910091277,0.43064882964143897,0.4862845521513816,0.5158787282438962,0.5622629439599258,0.7752496876815828,0.8184517686822661,0.9769371362618828,1.3537786196046702,1.0933728608289948,1.1090227402482593,1.1655688127121622,0.9006013473677392,0.8315666588882573,0.6400446959091545,0.6014655238980556,0.6453440852957681,0.6185477335263952,0.5878832919628217,0.7519794082977953,0.5771993665802784,0.658668356429576,0.6027472225027385,0.618294161234747,0.6893442881923378,0.7526802622565754,0.9043217862089071,0.8447261400359618,0.8861725639287794,0.943795892360702,1.0287921734435903,1.0887225424897424,1.1799696490995226,1.2209220590208163,1.3250373960519397,1.1288411342335107,1.2943267669358847,0.9967384642529855,0.964527970232061,0.9980886907444149,0.9060070123939303,1.266021144413492,1.0212348162561984,1.3606867840577543,0.8035232579892737,0.7670392553449795,0.797060305897256,0.759574781358884,0.6526938260533183,0.6215859703757621,0.6961075320935174,0.7321277231785857,0.729446871308858,0.648915541612644,0.8676459383746951,0.8200270027577993,0.8066153641107376,0.7484180239488978,0.5962568463358552,0.7400626127018126,0.7116455602687344,0.8632827132200664,0.9778594063264359,0.96684686498166,1.0966699831232343,0.8727003609669367,0.8348269655550937,1.0982315860295668,0.9737020419090892,0.8569139968860351,1.0017127200312697,1.0933173671501693,0.982964915212434,1.0179531450733832,1.183847401235893,1.2891685213645407,1.1370649089726408,1.1282321777368447,1.0269329965570144,0.9085285278220014,0.8228116671709086,0.7856397395489475,0.8499356322030673,0.8180442489395275,0.7390200087923586,0.7806553855604403,0.8258985754819285,0.7134185814786058,0.7495718249291791,1.0022771617242734,0.8458961864034754,0.789257808592407,0.8169556262547664,1.0278530939152501,0.914240887229688,0.8948648970678319,1.1960769330939378,1.2174319636735318,1.1740701094153958,0.9386772109641294,0.8846324843686486,0.8663686073989546,0.9136525215260978,0.8606159587883057,1.0242772588998552,1.0552710990234413,0.9028321746161252,0.7724603094681108,0.5749471176263543,0.4596607938821737,0.862549450871498,0.9230954168611796,0.8417540076141591,1.4414987848467458,0.9825015564677205,1.0566249433490345,1.554208663162039,1.79769031970167,2.047672068062421,2.258295771357503,2.5557662155911722,3.8166830026434955,4.338373132779055,5.71875531361112],[0.8241868919114749,0.7769822859285647,0.7645400940083342,0.6170873908009389,0.6098512781738155,0.5516368676787943,0.5002409668312372,0.48572084195443327,0.46867612531386904,0.4880802210669214,0.4723816844823789,0.5214669565743252,0.5246859006606822,0.5528577299352766,0.6383210733055606,0.6106437250512666,0.7122802807062303,0.7982159548549119,0.9938505387546783,0.9241295325483997,1.0113145043630685,1.0250842536651905,1.1246246941038243,1.2277060704864926,1.0799435589920348,1.0733251618197293,0.9518273452933265,0.809066422296498,0.7702950437606695,0.6790238005474745,0.7172318647504212,0.6286884802733703,0.7290493819534906,0.7310039765847867,0.6958158111380095,0.7725793575847096,0.6863614371718728,0.7971311447763301,0.8572048792347944,0.8281185532005136,0.8851279609181536,0.9838912667371088,1.0198325166202546,1.1797755325982995,1.622023016806067,1.8097511465977565,2.0460288274290157,1.4380919016662446,1.3165142529092728,1.4150351461814732,1.243191752312415,1.2822026204402224,1.2100638194993354,0.9728695856032866,1.2277060204010202,1.030803662483513,1.0329799919493317,1.1774319831514555,1.0506686481596008,1.2549278675376494,1.1588308415882473,1.0533495113046996,1.022304434945325,1.1754102291970088,1.109494571835799,0.9916938016035156,1.1564972860299492,0.97322044434451,1.1241395018719291,0.9846789697231839,1.090830611891819,1.3096763983693256,1.1046542380665092,1.3029182849178218,0.9787262565418204,1.8166650419148347,0.944595712907654,0.8896794680785391,0.863533359927874,0.8921431762129843,0.8093894525314033,0.9037406972263138,0.9920936691055631,0.7832876631879537,0.8821441320102602,0.7803565611893741,0.8330306503710851,0.8320332487691363,0.8552611040828478,0.8244009677646894,0.8540005855027984,1.0157791757685128,0.8699847307881433,0.726206677416913,0.6697161299505201,0.7554154461976479,0.7222589569008437,0.6320804862907848,0.5953474032464257,0.7500547953970521,0.5780164673218486,0.6293801136294952,0.5762082288221703,0.5977279066056662,0.625046996440984,0.6149762317861339,0.7257934433476367,0.6030897857678417,0.5634553497630818,0.7915966774063918,0.540812723569589,0.5213005597816613,0.4991526146361425,0.5854094207303483,0.6080626980352287,0.6684594279746262,0.7688919291209511,0.8499234604489826,0.9674614849622687,0.8390545009463388,0.8215466358487048,0.7270800409174787,0.7579038089037069,0.602709097066168,0.5572067372454074,0.6070219514425227,0.4970673270797054,0.556106369936251,0.5554036590064105,0.5780143123811163,0.5690549866844816,0.5484470113032349,0.6144484700273597,0.6323301789538568,0.6243146386553113,0.6294167679354687,0.79842992090458,0.6444392796619354,0.663505311377935,0.7633602700010853,1.077230142164635,1.0926946205453243,0.9130667257040175,0.8228438868272359,0.7954687817298489,0.7352903017240583,0.6892983486452571,0.5893508950668264,0.5338207921942562,0.5163514621658042,0.5575217467117088,0.6128054037281798,0.7252676956436724,1.5141970603652197,1.0671066296627705,0.624953743053293,0.5203636569269731,0.5181089945441023,0.5239009611129233,0.5499697853795106,0.6675348081881401,0.656305715724823,0.7632967320894174,0.7844740794956412,0.7407385466935195,0.8996625386332129,0.882550487051029,1.250377693318038,1.0539450849774545,0.9943323323741795,0.82448326654253,0.7434965135320857,0.6939046836903559,0.6417943467097373,0.6530513334778515,0.6355559324229577,0.6763534350393047,0.7632011324949654,0.7348743648700374,0.7001637868522719,0.6969294452351886,0.5919847033260688,0.6509679580554664,0.6853418466641065,0.7359830819194478,0.9725185845126381,1.0287942951535087,1.1587952039416458,1.4612864391914122,1.3094022875102145,1.3819503885230147,1.2160453995150655,1.0583194499530222,0.9561337535876171,0.7558776998226722,0.715178551578153,0.7027390740015028,0.6782768574223049,0.6516971030682441,0.7602311114542554,0.6435771259585636,0.7036003301675362,0.6807006463635804,0.7065811138896305,0.7508996360102105,0.8174519807795263,0.946360157874484,0.9283858333808582,0.9522625754165819,1.034579854448991,1.1161386706595726,1.1742568615935909,1.262434092633477,1.308419195569154,1.420514579659641,1.2553766628047427,1.3690511148548565,1.0923637999013225,1.041760888055573,1.0741079337695085,0.972285152706715,1.310508127885225,1.0812537297834781,1.41215984392113,0.8637174691424828,0.7947016590019583,0.7790519050779017,0.7608608102294667,0.800077454645678,0.7101519864780385,0.7151168878479665,0.8187900799881608,0.8304059597841608,0.7143909408110123,0.9265252739457079,0.959244598198059,0.8795661513573406,0.8315385049861793,0.66151734989875,0.7274660952385186,0.7135699795500622,0.8381225165400151,0.9260889292693651,0.9092051963128788,1.0551109349292485,0.8436727085211392,0.8156202300619141,1.0270405401533071,0.9363151412909442,0.8872180544078475,1.0164603289992509,1.1034877524854947,1.0389697844425492,1.0640144938528548,1.2144495274594935,1.3496889885277386,1.1937727781637926,1.1772987039786198,1.0932442676896885,0.9543286636734817,0.8605565614999213,0.8422594986629686,0.915780315396235,0.9066607826724656,0.7958331293459385,0.8547841368833006,0.8968543186799305,0.7685908250894657,0.8238760159188341,1.0681447160386937,0.915390444898064,0.8742825843471923,0.9060271151318883,1.1212466166470414,0.9748606436417491,0.9491536788453093,1.2768040962347464,1.2536848446808,1.2581324759080812,1.059207087602958,0.9894084149200194,1.006418109203193,1.031842415044696,0.910743629695999,1.0281937675879012,1.053848895697887,0.8813744655017481,0.7154122806389097,0.632194227738437,0.595028594232804,0.9657819106883081,0.9693979652130914,0.8987949712695851,1.3185794699561473,1.1009825531590887,1.1681369759444988,1.5832863791628047,1.9233791895791488,2.2396908598845027,2.4330822302097332,2.594574763789598,3.811847488248453,4.198471743765125,5.522578856990739],[0.6993293029379781,0.6453093091277045,0.5933140987093672,0.5288486797481942,0.39992406852886364,0.3943396659820918,0.30459358012212656,0.34804527497087473,0.3582383774473646,0.30773928924220256,0.33591831802401667,0.42590882857438883,0.3478817774616563,0.388793458681392,0.5136921944150183,0.47578894277658107,0.5501993230426012,0.6405209322779687,0.8454959034309488,0.7692931019384377,0.8725980970793116,0.87582992903578,1.0114272910285218,1.1361357163114045,0.9441080860606677,0.9356775656979572,0.7855354607398938,0.6467698646613524,0.6003869491075571,0.5156092338776281,0.5552636124747548,0.5033724263283648,0.5786078264102726,0.5625898702326863,0.5206211717398543,0.5903562170209011,0.5211408985780837,0.6174151683140491,0.655015479787118,0.6313928453379247,0.704293270563386,0.8220741293223517,0.8318335242212576,1.019610111595807,1.4964321727207521,1.756095832363114,1.96061109587348,1.2832714851058786,1.1895648722694485,1.2627281065862075,1.0622317394132132,1.1206565967388764,1.0377202935716645,0.7681974518084247,1.0951844243811362,0.8152088822644299,0.8420493651203439,0.9681107145571134,0.9076800510458133,1.0761004375163585,1.0006025945697579,0.9001371509053406,0.8833923992884442,1.0592995333204633,0.9696136309699119,0.8388642405761311,1.035164085054797,0.8340707498719906,1.057678280016001,0.8667813705649094,1.0373872510597446,1.3061902702268346,1.0040981327888214,1.2057308830595566,0.8457950225243698,1.743974745342519,0.7924312748161417,0.727268292432137,0.6938868873245517,0.7258311579109237,0.6407832112498952,0.732401456941929,0.8919489299075903,0.5675060487090292,0.6895611048408412,0.5585926362075029,0.6451942084750902,0.6501135450110351,0.6653255103225356,0.6402902942407156,0.6907116908255609,0.8940897783338999,0.7228181294699018,0.5734601377161368,0.5319710698683461,0.6212682320740982,0.5770842640661072,0.5087133476338911,0.4888875708059034,0.725447604758329,0.4790814366584206,0.5936469408158137,0.44519662364744983,0.45139176149099314,0.455659055449608,0.44012899542837225,0.6174550901139182,0.44193793899981537,0.4053670362208977,0.6705344504576289,0.36500264041082264,0.30197720517989457,0.32876147004718487,0.38139312222512056,0.40508132812901637,0.4896622175787838,0.6062187019710662,0.7241847735321066,0.8572404130430435,0.6991416612910829,0.6984068913562502,0.5851113496940648,0.6009160790054371,0.41080541438635115,0.34648325616563247,0.38288130603222065,0.31269424619561503,0.37543968436451153,0.3410254978834313,0.39842226178555284,0.42245145218234514,0.4026107231552316,0.419155150514466,0.44343886604605587,0.44551409935921554,0.5079150790127962,0.685989312073536,0.46267907847354955,0.500001656642335,0.6085757794914181,1.0038279898752946,0.9788287161987873,0.7733357833483208,0.6409271581191991,0.615309245949636,0.5500965698800717,0.4936795494219995,0.42958627047067566,0.35995801764942503,0.3620031826262402,0.4715754741940254,0.5614534406114093,0.760390739148364,1.704822025527275,1.0668422427613502,0.6253190320613335,0.4550415601344978,0.4519456329819425,0.3854263721562771,0.3779662951053032,0.4922659285396475,0.47974186919834494,0.5512180950552736,0.5726172043612066,0.5362495278366872,0.7501988327605703,0.7234771402320516,1.1423474787445773,0.9639371652809271,0.9121445037563971,0.664950295247297,0.5382791166257358,0.4983765099858154,0.47764103835277816,0.4517281342301084,0.4260690782375435,0.46678956303339514,0.6049474734353036,0.504088708854255,0.4971923532732527,0.5094088794279047,0.38939683376422973,0.43987207555783103,0.49149360068160847,0.5689117279791555,0.8111887014763506,0.8561903149439538,1.0169954561494876,1.4037149899474348,1.194496836236107,1.2457844574980999,1.102554862865673,0.9094053548064,0.8213644780593112,0.588780597553756,0.5316158579862547,0.5748558887707231,0.5568700625457661,0.5394741404815485,0.6868793583760624,0.5656058080082247,0.6409107246457602,0.5787398583205422,0.6464646399395905,0.7454328954408749,0.8123968654700957,0.943920889133425,0.9257946365692308,0.9893818430303276,1.0413051092663264,1.1193912617665267,1.2122448856217545,1.3092085341456194,1.3184377834813008,1.449506420490808,1.268661744661837,1.4151647670450969,1.114359589367147,1.067764289645106,1.1277530289693383,1.0416359508655253,1.35577026018041,1.1680189666525715,1.4781878839084939,0.8585901644833923,0.8126535667460866,0.7930357043790527,0.7326708414352145,0.7683031093425714,0.6790223763803341,0.6686205957934598,0.7476413691811487,0.8127566642792262,0.6568880747395629,0.7896395114880738,0.8831590738798909,0.8349494169339449,0.754184324048344,0.590604150444794,0.6420449301535822,0.6224511137435975,0.7861074961845518,0.8778371145598823,0.9347868701370905,1.02679316539838,0.8201862848966974,0.8536595998213015,1.0643016628915993,0.9716906568994821,0.9081583853514077,1.0753865746306597,1.1602444820340096,1.075884951889443,1.1252863095498453,1.2948462753846968,1.403044744345304,1.267315166653217,1.2648844528402854,1.1583645326726006,1.0211085825758706,0.9039699043246258,0.8704292476931225,0.9773837082465202,0.9184610477867763,0.8177668008414657,0.8771981501664506,0.9169215050974243,0.7695312331550359,0.8271035169066748,1.1209013743035274,0.9237933415469916,0.8525926599845669,0.9175541411206027,1.1426359961982253,0.9917612456813195,0.9630890732609664,1.2591219974078292,1.2268005778887687,1.2886351005880112,1.0122842287699496,0.9790035668788389,1.0217121504741464,0.962298056521017,0.8838935451451071,1.0274940532561079,1.0290910198604615,0.8739256595484757,0.7112075427141811,0.532282306076044,0.40092384112222784,0.8269969676224203,0.9559096080588135,0.8884654024949961,1.466433017036701,1.1064035171426874,1.1591359987791439,1.6719355930556015,1.9458231606350591,2.1535951771043336,2.4820737720541266,2.6899533368808513,3.925398383404195,4.294165376137411,5.547228478953649],[0.6857385021552156,0.7039917180143006,0.7287340802722783,0.5255475758619159,0.5474665840850237,0.44355789459179995,0.37212864961711895,0.37382914221741437,0.3880176439639856,0.3845345573783044,0.41024497114156167,0.4532270435876025,0.4309709708057505,0.45954389509511645,0.56388945004324,0.5174133218371977,0.6006447531677543,0.6503930789283769,0.8432663690775638,0.7741471643623156,0.856468966714251,0.8744443712659574,1.0034598093287763,1.109175258958735,0.941079112755441,0.9253043150991382,0.8228822534745563,0.6670317924560224,0.6316787109088642,0.5808922429878681,0.6041818621092421,0.5290019446316315,0.6188384992482152,0.5976965600148408,0.5602649493100723,0.624931176725261,0.5589135420757955,0.652722500678056,0.687358971637609,0.6857309982771724,0.7437572873309813,0.8481690686073221,0.8820955388303952,1.0492050391518057,1.547502465598085,1.7889707072025747,2.043487003717582,1.3388541498862525,1.2121752976192959,1.3461044904208912,1.1439574971216828,1.14889758942812,1.0630297905070383,0.813229508254915,1.0643846432845314,0.8699858039180641,0.8848477566833283,1.0292753442283442,0.9203618134707886,1.1483991399213977,1.0215912870903703,0.9073503053279739,0.8438917610548459,0.9957420438628451,0.9546947753397849,0.8203738243738052,0.9970949131610798,0.8255635296562112,0.985956419606546,0.8586868686876196,0.9908192210169835,1.22382054416164,0.9591215816696451,1.165064415553474,0.8166921482693315,1.6397729750737826,0.7671107659650639,0.7225174596976757,0.7059764401488324,0.7396515989626866,0.6650475311182731,0.7615784048824091,0.9155758389687738,0.623022279190385,0.7618019764376955,0.6243727344919706,0.6908102271541351,0.6704273139656294,0.6920710301011945,0.6695531313044731,0.7104556190618929,0.8828208549125517,0.7428942908351193,0.6123921188090843,0.568692909268094,0.681435480065036,0.6712661065839701,0.57296903364645,0.5364814618514404,0.6885602560275748,0.5055082075760976,0.6003644900027763,0.4653273517583678,0.4757515398098693,0.4908344491249067,0.49972750988687864,0.6540957013476462,0.5045341102101537,0.4411197349071056,0.709864776643243,0.4309395745587433,0.40681661369109284,0.38090328692037373,0.4605363387722117,0.4641411693132931,0.5375879279424804,0.630795115051404,0.7683956797079772,0.893919319108244,0.707009213657147,0.701868746434556,0.6098216793891489,0.6494779995925696,0.4655314402510997,0.42010778159880924,0.4770462117746676,0.37845833771791676,0.45664871166014137,0.42073138313674974,0.44792370673157833,0.45626830702803534,0.4448658410400907,0.47291561580906466,0.4958035294817887,0.4791226644958051,0.4983116966470613,0.7279103438940044,0.5150781170268685,0.5452575777904276,0.6492774577859495,1.00350559933271,1.0332790518556254,0.781426682982359,0.677804926975133,0.6552271598078664,0.6075801343461161,0.550927567207182,0.5270588117009363,0.4198954189545346,0.4143241660328144,0.47682987018407463,0.5377579959850612,0.6811198255686829,1.4425250657306592,1.0080266612447262,0.5716571922174152,0.4598492421235873,0.4393955795203946,0.42920976066987165,0.4204983185444144,0.5306868190508899,0.5463692741106716,0.6183194757140511,0.6357696718922852,0.61708067822172,0.843003333489194,0.8162860540889124,1.234302816921707,1.0428064853022092,0.962949247461921,0.7286572238999941,0.59737651282077,0.5508698238610406,0.5202054104621604,0.5040121209009949,0.477953529678319,0.5154786396465898,0.6114595822119763,0.55545134290861,0.5260676729894899,0.5795999532803214,0.4550298101605037,0.5099348136377385,0.5745336137874727,0.642218561900692,0.8810833254781,0.9230208767971027,1.0414766014432404,1.4132976889726105,1.2609228869495541,1.3314790885593755,1.1165939303402044,0.9722321658543581,0.8791766258321447,0.652959086251408,0.6185335459949312,0.6211727762915505,0.5943383182629164,0.5650693522573991,0.7040975315287822,0.5774115942102145,0.6447725576415919,0.6113368573636843,0.6561322874726953,0.7246210895314261,0.7913004196461757,0.897564192472248,0.9160164145888715,0.9597857044970024,1.0371393991509912,1.1156920156377303,1.1939645359275437,1.2859741711023829,1.3186389785139756,1.4410856547481783,1.2680102451249844,1.3851480353500747,1.1219270008001339,1.0830269918017759,1.116475825781494,1.0344732174598206,1.354550466996893,1.1489371178880252,1.4091320331154296,0.8769355181312308,0.7945567422712457,0.7509843923506346,0.734127754834477,0.8122409432702122,0.7116589082081805,0.6890077373068056,0.8373524083243506,0.8884441653152739,0.7164416438684995,0.8164597905004749,0.9772393801894272,0.9070933393625659,0.7756311247306793,0.6151114187009126,0.6851874956593376,0.6219879576703341,0.7547807206367194,0.8173231657590899,0.8592882611611159,0.9613272366219844,0.780382338746878,0.7876992883656687,0.9674855294160444,0.9178158799803863,0.8466631035827902,0.9900004711060542,1.0901722342694808,1.0248573584725396,1.056162447819606,1.2182546560270202,1.3600324809196278,1.2116593957156438,1.1987664859906708,1.1045706702351705,0.9577588455002601,0.8442070286811538,0.8246483581558217,0.9327989756898288,0.8922394741272137,0.7885466297703946,0.883653376993659,0.9308096167481282,0.793321055164055,0.8694078697243737,1.1668131236716246,0.9474457206319099,0.8854561669878017,0.9715236358095265,1.1926330904239824,1.0262627191764269,0.9633215029520841,1.3290242894331858,1.2502727521305803,1.2934099468919251,1.0561519464249929,0.979459567718385,1.0545043076342484,1.0125502426187911,0.8729903055421422,1.0402516533506063,0.9994799419141821,0.8535848197402103,0.6582405918205223,0.5604294601270524,0.4908467802603034,0.9182345390101737,0.9180583080364464,0.8550512662939724,1.3154003881522576,1.1601304651567117,1.1904185658854345,1.6425900673465081,2.034603247742364,2.3083199368813756,2.5962697389108755,2.7147136832261296,3.9123592961946136,4.1732701744463725,5.370478551061689],[0.702178852348306,0.7372134670778767,0.6151669787100602,0.7018175197896046,0.6180349665005055,0.5231797758754103,0.48358643958382724,0.48200428692288694,0.4806515974642875,0.4519725752208551,0.46995300292088504,0.47638391883360554,0.4704901682263471,0.5188817190220787,0.6325211947106592,0.5694085524875656,0.6379197396001149,0.7271607875572783,0.9101792727552037,0.8303205163723332,0.9227161224831313,0.9293173977127828,1.0948448422356898,1.1623415631371359,0.9866818327991737,0.9683941685666199,0.8379267547680097,0.7004063366885038,0.6687669713918956,0.5949530890800548,0.6763051292965578,0.5735079336660142,0.6402352666011348,0.635283068289301,0.5978737961574961,0.6729477624062191,0.5870139869598789,0.6697777052173859,0.6814909467811985,0.6888805696059002,0.7435014795873516,0.877418311866972,0.914831666795464,1.0920721665526447,1.607285361436932,1.8514106618708406,2.127620651470033,1.381812233724045,1.2359546372956685,1.3704409501256107,1.1731749207252755,1.1507464296558843,1.0658751869604526,0.793002680733991,1.0095098307216352,0.860170764036335,0.8890986034050086,1.0398426418083853,0.9646455693579822,1.161868389302256,1.0559721202475514,0.9678294585185814,0.9123852683131893,1.0560768496700301,1.0270792812931506,0.8684588258694569,1.0895213632191088,0.9000616281140348,1.0889358027992901,0.958676159019088,1.1027112467947293,1.3526938533364061,1.104322890778026,1.2918914134694848,0.9330032987933696,1.7692099106003925,0.8589463155103957,0.79376247128796,0.7620691433396823,0.777341703843985,0.6925877840654251,0.7762919666807044,0.8792152096982683,0.6053377464172408,0.7472179915268127,0.5932968590418539,0.7050794706150698,0.689597951158529,0.7340803253540239,0.7146578459426336,0.771313862199774,0.9842371684160371,0.8192982305207768,0.6822460895586258,0.6365848519976459,0.7171705325003923,0.6896487098720527,0.5952423408305653,0.5460155568630346,0.6979299766812742,0.5104964474265994,0.6420745232263545,0.4651822699315383,0.49506093181842076,0.5274546126634838,0.565898829739579,0.7202414958016482,0.5891298924270867,0.5947879176126716,0.7586978668178805,0.5417397230930394,0.4731145344943105,0.4625623880691466,0.4781482079109241,0.47121188991934854,0.5366798772888034,0.658353610969857,0.7918338569573969,0.9356654655657799,0.7624200093490605,0.7673065928271458,0.6600316363046375,0.6542157091292916,0.48414064794786915,0.44990932521297955,0.4972784712267185,0.5150652900082221,0.533134863920112,0.516447102084929,0.5841782037367951,0.6843625625619579,0.6891759085908564,0.614670115935443,0.556969964872462,0.5607267160348429,0.6618965137045341,0.6944695959572437,0.5412916489431653,0.5457600176660611,0.6234519107942385,0.9642844517535055,1.0271165508244449,0.7969481122626082,0.6674078435692796,0.6553321204205792,0.6319193229335763,0.5718074823335454,0.5432186861359736,0.4465381270557694,0.4669377188882657,0.5307301883000946,0.5558789091091385,0.7100373154009006,1.4406629817155634,0.9517152727015644,0.5932437779955773,0.4777523328133078,0.4844884936511038,0.44728485435439375,0.47708596143090315,0.5197965777537465,0.5692450922765337,0.6117391842593098,0.6190592476692959,0.60377315853691,0.7527785273256844,0.739270574417126,1.1657263192342755,0.9854197316292089,0.9026453010053774,0.6616673566364776,0.5781642396466143,0.5506109716042492,0.5483768965987839,0.5016174127308689,0.48331515725708313,0.49765681830738984,0.5981792751014918,0.540367114078728,0.5381218871253708,0.5706198024195945,0.4980232881277963,0.5677513890286434,0.5990101827759262,0.6253132286664372,0.841667967443173,0.9131536074815697,1.019866488057068,1.4187446497770768,1.1933717820057257,1.2581279698550316,1.1220245550045196,0.962713450960085,0.9222004651517479,0.7578860852542703,0.7890729808983419,0.837240786036686,0.8708969590577428,0.8891309971832103,1.0255499579565184,0.881516074922238,0.8588446453876488,0.8488269552061388,0.893706445692753,0.9796901087926717,1.0218340090493814,1.147282522889923,1.124187054860891,1.1597630197205138,1.2082819911622793,1.2503152805368738,1.350093945638013,1.4350704749719962,1.440440290914704,1.5528913356441776,1.4657558510252617,1.4973019922200526,1.2987389322137357,1.2493077752454271,1.2994654954640288,1.273161991917071,1.5443774638431425,1.3995874263331969,1.5035787409579415,1.0543845270620154,1.0161480237493006,1.075222597148101,0.9800593907523808,1.035798848599363,0.9643397017445243,0.9741194490758345,1.0674070091460575,1.1147852598258088,0.9815012659029104,1.000408820697932,1.192160474383562,1.0963961806660967,0.9310127511391438,0.8988974281516223,0.9063283607473388,0.921366303327935,1.0183048285535794,0.9863155460450529,0.9763907971371094,1.0278394316756416,0.9365679563213698,0.9901360225314024,1.0639555344619187,1.0256837424203686,1.0461365717445255,1.1664071752284375,1.2338471090873282,1.2180568686734803,1.2702563510060285,1.3944695914291694,1.518303015985489,1.396076368458411,1.4017174230753666,1.3007157257647113,1.1800449681564698,1.082949099023451,1.0648873402724728,1.1615452993579867,1.0991250335548202,1.0177232621214782,1.0857659283742425,1.1158409346520628,0.9914970273414139,1.0733096066469408,1.33211127497859,1.0996566580579563,1.1074479265863972,1.1231376496875636,1.299973611913266,1.1601141026801085,1.1149754987593958,1.267474526109289,1.25213696253289,1.3753426354842693,1.176980507052622,1.2199104842407855,1.329982153388793,1.1979620382186715,1.0965530819928115,1.127203516178098,1.1671939808804785,1.1530502787590748,0.9984686216438567,0.8800748341541265,0.6314833922684397,1.1108618100781968,0.8955799159642794,0.9171906343014932,1.3784083031138932,1.2376655787933226,1.3509672359654776,1.8262717483534685,2.1907882204536735,2.413200033720053,2.863356312365997,2.932596172084041,4.123738197122603,4.242561622853081,5.346500070424693],[0.7800135834939993,0.8174393190718533,0.841836183075389,0.5955798712772417,0.6278157944329461,0.4946940273326318,0.40827030768305633,0.42214964420613676,0.4207836441244376,0.3836983576859407,0.3774151019260044,0.41566569077202975,0.38625265068814807,0.3949450983952165,0.4764304591022066,0.43914340842088095,0.5130764743691463,0.5631373880167575,0.7017024623454775,0.6711360119937779,0.7121033386340476,0.75455203312439,0.8605120272555277,0.9480196014836895,0.8539483177751491,0.79329579727841,0.7215622047405784,0.5703461992979924,0.5517510034067746,0.5047516364759692,0.5083921313745123,0.4749956167371597,0.49083970547588235,0.4891775476524149,0.476692500629211,0.5329403240826535,0.5029460190028118,0.5656779548877764,0.5967167619064888,0.6238351019929895,0.6339523522374332,0.7420167254366534,0.7983772291327459,1.0080871750699634,1.5334012622632267,1.8063366009048663,2.0678763414996038,1.3191460024652524,1.1899504519155202,1.3477033862499124,1.1238834973547096,1.1138275429529592,0.9948833073132008,0.7545938497172965,0.9918078866540956,0.7629082909974582,0.7829866691264428,0.9744674100678992,0.8328317036981261,1.0527303533040164,0.9055827942425653,0.7914949250251967,0.7002255162302196,0.8598733933974383,0.8351257248397616,0.7054103278588082,0.8308191980087802,0.6842659001600733,0.846989462802992,0.7431588745141774,0.8800400574479605,1.1122607677565848,0.8247075157337882,1.0482559066566237,0.6849320474938626,1.5042888875833433,0.6460329549240164,0.5939013731874649,0.5929408354388496,0.6487675811404252,0.5820146394154849,0.6791097528151281,0.8930550639389218,0.598287093348678,0.7316871724825144,0.5843756039562932,0.6030208267446773,0.5958678954923811,0.5794084316288177,0.5713537913929393,0.5870481720679103,0.7759974312863,0.6258960970206235,0.4936590158086375,0.4701758264016928,0.5309807924151689,0.5708140665104354,0.4764644804378842,0.4649459987570059,0.6395178729274883,0.45328328958276415,0.6119523868525135,0.46715583454165815,0.48122679104743266,0.5355682701041189,0.5704855656555758,0.7660319814717248,0.5634742605638488,0.5243902934076553,0.8027827835540229,0.5428617269015067,0.4503520632616175,0.38752282447249864,0.45804075265063016,0.42339486519459113,0.49163890728277027,0.546709253440485,0.6803253477838653,0.7372437840156157,0.5961962600588165,0.6103250979581683,0.528947381718318,0.5686895148647941,0.43565351554466153,0.4396731875770089,0.47716831812781496,0.4825154118809442,0.48966525029645214,0.45466034023479174,0.4944687200475571,0.4688647325577901,0.47237231575999833,0.47898808824286027,0.532125653163733,0.4777727425968386,0.5166606796007691,0.7397230299027354,0.5169780603995576,0.5155189968392353,0.5766438265970422,0.9270789332756374,0.9877874145182508,0.6820087970212009,0.5695800146932184,0.5599498193871808,0.5446856241271865,0.5005695455011229,0.46281276505739993,0.4151803825520817,0.43075222754506004,0.5224509497949749,0.5336360905873003,0.6921229213642484,1.245241812066367,0.9454785152329594,0.5427183942257408,0.444630217500645,0.4251699983558908,0.4238450038183144,0.45331263423826496,0.5112462985737249,0.5038315894866892,0.5468639210913768,0.5763147266215193,0.5791795125795705,0.7254059017666853,0.7625532170710606,1.1895795214265314,1.0141173142145883,0.9365581906896259,0.6958853214182713,0.5685689865750442,0.5383790298304466,0.5200641539433962,0.4871476946928945,0.4597360698861497,0.4794016892522491,0.5772357908862026,0.5134933852276787,0.5199457348241778,0.5870856348384237,0.49465824506621753,0.5504593752450686,0.5821071179860653,0.622135929757818,0.8435784059158808,0.8819372124012049,1.0116374539148187,1.4028543891851875,1.1913573968830247,1.2804729694227202,1.0938914513228397,0.9186437318308087,0.858873186203445,0.6455690911850391,0.6584244539470018,0.6477240382653986,0.6178741502132399,0.6034031255019155,0.7067426626993574,0.6218595978855083,0.6724116976860894,0.638008725436424,0.6945264638344089,0.7582324832544775,0.8140178780117909,0.8947768172293475,0.9373724568053187,0.982792124880085,1.0608043519465,1.1429241216914008,1.2292822531356602,1.3086798982852217,1.3604365076309846,1.478913613957689,1.3004667696899803,1.4116747440112474,1.1246282931975107,1.1010962940274474,1.1451403779830072,1.0647989401075912,1.4206574985446359,1.1806989894867888,1.396408406289439,0.9412166853747074,0.8627918496177055,0.7713820746440255,0.7687718044513859,0.9180064895099094,0.773902550936498,0.7252881287433139,0.9059535114304629,0.9679298317444803,0.7712039477327559,0.8402460652619599,1.0916636770557702,0.9538507499186096,0.8488115768823682,0.6664011490935571,0.6683277685795349,0.6466801101127698,0.7306567755834614,0.8012533045760479,0.8520783280131154,0.9472830252182255,0.7998116738925227,0.7991015072299607,0.9366451024686856,0.9079240398719572,0.8691929265094667,1.0111985784615984,1.1099381040569494,1.056232335047467,1.0794569542271193,1.2262458450452647,1.3793570985449881,1.2253820856904671,1.2107537056342628,1.1222709550265826,0.978025113342975,0.8682033997844978,0.8711281780840089,0.9657194087328834,0.9257493335892375,0.8342134516392955,0.9259783124199523,0.9563907953288756,0.8231707197229085,0.9117616171308156,1.162050526887129,0.9553173198074438,0.9239494395105501,1.0111014145864328,1.2250600196508699,1.0448110455073976,0.9725090209647942,1.3442597243384615,1.229786169781994,1.282877794144733,1.0538921920399482,0.999175441533707,1.1256763302662263,1.0306072600102687,0.8610875246829356,1.0055695264101825,0.9902400699189531,0.8321275855362789,0.6398620704119549,0.5841922922021622,0.5513099438091296,0.9075089426361634,0.8948350159679703,0.8462465705934259,1.1684155665127056,1.200280495612535,1.2420645315870078,1.6445221116098507,2.0800491440145845,2.385185878703338,2.711031891951194,2.760660621238681,3.8456513491398803,4.040793201478322,5.0649420960013956],[0.6875960886928568,0.7246268131861734,0.808045167892451,0.6364065176442847,0.6023674321060378,0.4856806847865876,0.48728847899296496,0.4948064118073377,0.5165665248313198,0.5369646754873554,0.5466687041889224,0.563065824402582,0.5768591230614828,0.5976806524231049,0.6423828651899566,0.6287465052712983,0.7287157035030609,0.8062173453597818,0.9650359603622021,0.9215816933036048,1.0121854849440497,1.0392541482491595,1.1624215353263077,1.187789075906179,1.1353190983806387,1.0603404410316917,0.9627543839357816,0.8094025708770559,0.7894174881788425,0.7059429288985006,0.7253465894431482,0.6431393884713082,0.6668177626557753,0.692724131992306,0.692231388660481,0.7636617458682079,0.7076166357400427,0.8039773266084776,0.8117726961908894,0.8402387396133765,0.8481752259529111,0.9620973412478905,1.0169893910109749,1.155256258025139,1.6545032153812629,1.8822302498520727,2.174220195258495,1.4733570166897045,1.3035651693677937,1.494262471435427,1.2755518539371298,1.2824331416402235,1.1657204805794956,0.9866714935462206,1.1517984761064164,0.9756208777484673,0.9997442128240467,1.2099635341786505,1.0504903897186566,1.2935254941595002,1.1157161484103246,1.0382497712130716,0.938404214189665,1.1254166930309808,1.11710953330814,0.9592300490921034,1.0664625488082942,0.9317819821973404,1.0230773571219653,0.9891061920906508,1.0694796488265448,1.2976116536795468,1.0741504793166314,1.2803964559403096,0.9110655488220857,1.5338572188935955,0.897860941269461,0.8129441172994997,0.8138007365393679,0.89122410914878,0.7995748178216753,0.865345015821323,1.0040141700947551,0.7554005555879852,0.8696514989361903,0.7412470638888348,0.8405639235878506,0.8100735150136572,0.8109442056883795,0.7637753308319422,0.7996249300950259,0.9571458849787692,0.8271172146948014,0.6949397310789853,0.6529770087246481,0.6927417427168469,0.7248061975162188,0.6271911468418819,0.6021100883183249,0.7108358909378951,0.5749418953482749,0.6818911032284615,0.5949200663227391,0.5649591636828455,0.6303304156445222,0.6265660743186748,0.7166727176941412,0.6438319346935761,0.5611056492143579,0.7603564079214145,0.5690994365353407,0.5405545757917121,0.4998540474168309,0.5786364116032263,0.5973148588487176,0.698858633311748,0.7788974310757032,0.9100574775569655,0.9777060458825858,0.8480793827316605,0.868250538859495,0.7264423806220976,0.7317709503254277,0.6286055153531133,0.5717380769488645,0.5893069534433453,0.5315464771206397,0.573955622666032,0.551896022363026,0.6071435502338747,0.6168925583110019,0.61313262172559,0.6362597975937959,0.6169581711559418,0.6361609321476477,0.7337353619003713,0.7556491814958676,0.6776166498832258,0.688775388458826,0.7669620843729307,1.0614949720102733,1.1875765348488012,0.9492108975899362,0.7930469646173779,0.7863412644462322,0.7693533285086935,0.7126166811490242,0.6401869751669679,0.5584165441015181,0.5683182253848129,0.5971156353751149,0.5821321827440767,0.704927822277525,1.2425132615385641,0.9804279666293731,0.6078520171981167,0.5427384784798808,0.5351369770912562,0.5623621394282738,0.5651744337514936,0.6566035678476868,0.6991147992233233,0.7219753259793517,0.7469873826858611,0.7788532152459915,0.9184308060425336,0.8935620116263533,1.2855023611967291,1.0815490790841418,0.9932693158880024,0.800080413741252,0.7308639127004678,0.7066622199194749,0.6546702563499686,0.6385688115757668,0.6253871602345626,0.6598890714153404,0.7325513349112388,0.6911838384898095,0.6629344201520581,0.6990597799427678,0.6116066984621139,0.6712893294078685,0.7240391563045663,0.7560451473762663,0.9352428121268817,1.0147147103011858,1.1024223717907284,1.5001657790822027,1.2957186477070177,1.4323113883843617,1.320216690542151,1.1251545362134967,1.046925237157262,0.8281400150496281,0.8174351910288504,0.8042639577956487,0.785847745736177,0.7059030549130446,0.8128945158439635,0.6709965614922596,0.6686864122559764,0.6650878019588855,0.6992877520508323,0.7564218066437562,0.8094377133017714,0.8902344153935778,0.9306888231667872,0.9452148500393417,1.0230495760791327,1.098389077773512,1.179430517310109,1.248696389631065,1.3089403211316686,1.4322138176077566,1.297743824648531,1.3480628296949568,1.149160768349465,1.09623163521568,1.13672031691212,1.0691895859457645,1.4301029293877998,1.226214951690589,1.3894705898783657,0.9795959343717905,0.8867726658566596,0.8139014964328473,0.8337309788749597,0.969347975866575,0.8286185063039272,0.7908008454000609,0.9966817453509631,1.0357685299347903,0.8704628229346449,0.9629180152269359,1.1675788812181653,1.0584431345184464,0.9261120343209662,0.7423954243199522,0.7781177068509112,0.7019746742516302,0.7473778444174936,0.7505484787414006,0.7543368579521276,0.8532177219404957,0.7268531565154428,0.7591139630929609,0.8250694833491693,0.8091621744288641,0.8234898238356403,0.9431970249877157,1.0346049238045525,0.9881603340317704,1.0150748379154795,1.1488286932542715,1.3108477238102667,1.1649988862695329,1.1552110296208589,1.085364602054656,0.9601275076110551,0.8586844253592201,0.8640283863810413,0.9644860895363405,0.9034413376355089,0.826613821487886,0.9394333519651447,0.9636466038177226,0.8372320343513064,0.9724728407388536,1.1799048017516627,0.9953820997358265,0.9720460726400747,1.0867388584617241,1.3113145478501909,1.1134757915600468,1.0205716447525062,1.456824217190362,1.2774534513207436,1.3280305747446295,1.107906432070652,1.0197820386147378,1.1455779533734967,1.111762286325064,0.9174070447505968,1.0160706748634747,1.030930053788143,0.9132559579903075,0.6928674860723233,0.6797494597841821,0.5650841509472918,0.8714417663357821,0.8104469296257835,0.771891876851857,1.1173554512882669,1.2128032517659777,1.245541755417547,1.6160643043520888,2.1259337673424756,2.435400206585411,2.7835743581686843,2.7912500981805244,3.8929911953331624,3.9980789884787327,5.031680099202096],[0.6186729682577032,0.6727216969765502,0.7641491177068108,0.589336954574817,0.5491606665724619,0.4954235602154277,0.4289610029300577,0.43804142387376444,0.42459787065369403,0.3306367123861213,0.33190627556807256,0.39487635446797154,0.32185533501623564,0.3216474734383031,0.39499943611543464,0.35499254365259086,0.4418981283170502,0.4662053427879229,0.64925036449127,0.5853400815754561,0.6696264181232879,0.7187312764316026,0.8962864123423361,0.9433428169905067,0.8211763974015905,0.7378956276443323,0.6644190454237573,0.4836120324942981,0.4437487063274296,0.39578556034184365,0.42621018167409164,0.4087234453219443,0.418027961188767,0.4127726426799635,0.402250331919507,0.4417133780715161,0.40493463900219184,0.4719627321851014,0.48645406115809403,0.532256005623587,0.5545796059063876,0.6741325020146424,0.7708910238400064,0.992383456810689,1.554731421087169,1.8306180453157983,2.1185617792296227,1.3360588544055738,1.1676459793706537,1.372222046007417,1.1251679141059363,1.0532755583291298,0.9570966664425231,0.7473690006784125,1.0084118915467202,0.7479627859915268,0.759987078698566,0.9682294329949861,0.7930585526925396,1.076751621908617,0.8997904920368717,0.7489335355286089,0.6227141431931641,0.7912159211511222,0.8191863166994132,0.6362496579649962,0.7933787681721318,0.5980291276786809,0.7431902949141901,0.716488723879417,0.8181941965803662,1.0887792056629892,0.7942382037089142,1.0048889643203713,0.6131209488928361,1.352622945786572,0.5735301608769648,0.5030031807256844,0.5125641549455574,0.5915269515776872,0.5020494144128326,0.5829032407409711,0.8061569921827001,0.5494703850119871,0.6552206415655933,0.48107078599395336,0.4997266600354078,0.5282833529943823,0.4929170714333483,0.49539213932186454,0.500698607923999,0.6990736120714066,0.5701933910557982,0.42388412033318695,0.4111827417669138,0.5167155974191583,0.5862014443325934,0.4404747601122304,0.4243710972686112,0.6148723511395544,0.4263160410576872,0.6344908620728598,0.40559919837428937,0.4743718064385627,0.5010486083914037,0.5086165747875064,0.6560270189547017,0.5919479609326427,0.5325788272942777,0.7426204440972379,0.5127486578598673,0.3939984152861787,0.37871899436760026,0.3882899437541439,0.36700501370155125,0.4112006355961246,0.46321898691760827,0.6050438641713269,0.6946652402495493,0.5127349323828441,0.5584022718379187,0.43391873203955117,0.47395799167623365,0.3542356613032375,0.3305369009082834,0.38982716133329787,0.45627372136560546,0.43536352484810564,0.43239152627148597,0.4615087798056284,0.5282092272522037,0.5304520980170198,0.48891987362156475,0.46675624649057873,0.44536756068658107,0.5469668463521471,0.6388467791625226,0.45929834073029996,0.4020337036785084,0.46126647037807333,0.7586811965365672,0.9147816994645636,0.6153257802085796,0.47786233892959534,0.4724042232852654,0.4251830955018435,0.38619719311190887,0.36348083310978885,0.34776286172143056,0.42051105550556456,0.5245957128165681,0.5132229859745175,0.6510334998267525,1.181660358197938,0.875352587324666,0.5177491821230965,0.41023261201649863,0.45646045988647854,0.3592839875617497,0.3925239411843711,0.4188136888373345,0.38074704153848277,0.441942119779927,0.46400580094431754,0.5925233355015479,0.7568768490906866,0.773165649470918,1.200196610785142,1.019165382798731,0.9101296685075586,0.6457390352767652,0.505329242687871,0.47872475768336326,0.4396646906473771,0.3880928123980148,0.38376285947374833,0.4241440486866365,0.5004217128521761,0.4232807061221517,0.41638809300123264,0.5315055745829607,0.4326391480253353,0.4872303382232856,0.5455921937824842,0.5766449419368563,0.7727641480833733,0.8393454072614952,0.9591707632041965,1.3667433806987481,1.1912071948573666,1.2811374666537192,1.031235401334324,0.9426500119375767,0.8767661079470657,0.675347619176037,0.742764788901301,0.7430722502326759,0.7312815017696108,0.7000298107457342,0.8096466042978592,0.6609868204797945,0.6424602115202883,0.6222415355413875,0.6857555863709053,0.7587009753986896,0.8049725478312562,0.8717013230789037,0.9360061153477308,0.9591762535365542,1.0329037410979955,1.1028106293253874,1.1903043459959266,1.2586686368748206,1.3194641012974964,1.439534709488816,1.3247770868007256,1.3753229466479138,1.19330202086767,1.1352864208507467,1.1828949103491888,1.1326198493224755,1.5188324918473408,1.3266511068085742,1.4279451621501438,1.038477647752634,0.9479516782324221,0.8815733482008858,0.9020776973943098,1.0345520902075738,0.8824833128527795,0.8212903545134131,1.0448352406418904,1.0915550119157826,0.8753330872961499,0.9038557438909237,1.2359626072390273,1.0667721445410636,0.9061761402072115,0.7339544128785391,0.7402590892978266,0.6955081984350079,0.7392253774183362,0.7133261597166187,0.750633825093681,0.7873291112134267,0.6944458010715095,0.7611407894689511,0.782054722631489,0.7711763825472898,0.8210688811309425,0.951294969816259,1.0255535402741358,0.9994503606927354,1.0382092756498833,1.1562713341759177,1.3228315674430455,1.1844890720088412,1.1822585123025138,1.1177035521050085,0.998600636099049,0.8848999383264023,0.8951783319622235,1.0163117085212252,0.9309783710795185,0.8521288026913301,0.9905475815098749,1.008855881644065,0.864153847371467,1.0265753054105289,1.251239060713825,1.0265387917887365,1.022201930490638,1.1625308618169012,1.377650985203939,1.1672987796105854,1.0572301824033539,1.4706253531298248,1.2869992502914822,1.3754140288547025,1.1512977045280839,1.0507328630800572,1.188431524598411,1.156660215109296,0.9196329911152247,1.0148754369678228,0.9814691364165322,0.8897500089142498,0.6551871766604219,0.6643530346679591,0.5216949712177762,0.8673175527209522,0.7481671372941404,0.7382241306795251,1.0756107662909142,1.2566817366422567,1.2713188192103206,1.6312494023578918,2.1955945011741096,2.473915304744366,2.85489448590507,2.83895112909435,3.90161286190229,3.9312220545507013,4.903853087472183],[0.6480777536160486,0.6797358041582404,0.7888855859707932,0.5974498852815838,0.5257596551656429,0.42534534928534057,0.38722749158175274,0.3989610893597132,0.39949835079747725,0.3389956749879732,0.3419593676836033,0.40239186468845295,0.3490386535526151,0.36513238448016,0.4085145792434624,0.37115917838494566,0.43875032966149285,0.4453988748165814,0.5967709994267422,0.5426010936317903,0.617862217216621,0.6779855884517378,0.8501995317435364,0.8962360537045653,0.7822102785392809,0.6831937551817656,0.6198298326754201,0.472112611834778,0.4351524604902968,0.39238175674945613,0.4298267650755405,0.39710510835580404,0.39822542682845236,0.4050705825505103,0.38862231434342476,0.4269591531938606,0.3958161471895422,0.4666687272576335,0.4720738885858115,0.5211514045278012,0.5329435909543384,0.6317367463163186,0.7367867705321307,0.9691429312944777,1.5090141225242784,1.8061918633277012,2.0807776336338253,1.2963187729540415,1.1493936696038212,1.3511807701341114,1.1058596656050854,1.0360904122154344,0.940951391066686,0.7372887000317818,1.0055913447321945,0.737596307987407,0.7495351276585114,0.9384869557498228,0.7768988654058913,1.0656594514626911,0.8789460454168275,0.720779140832254,0.593550904837707,0.7330928310091658,0.7738099391499121,0.6031618024165435,0.7474737485224145,0.552211924474128,0.6994222880251583,0.6793449269508917,0.8013796471829758,1.0493523045409177,0.746921089723803,0.9442285605218245,0.5858741859128346,1.2570916979837146,0.5498112785338234,0.4821722702703308,0.5022186643422081,0.5776585153850523,0.48767245879092297,0.5783307709347921,0.7879696345990654,0.5588507126077873,0.6345436074043983,0.47764986435091883,0.4829354872437126,0.5306372388432468,0.47085703205777035,0.47367417218092134,0.48443852201528936,0.6994664098533538,0.5768900764044906,0.4181359535727006,0.4120300655060668,0.5285428789952933,0.6233665341448013,0.43811353552035776,0.41390515839352837,0.5687588611896284,0.4182340776767059,0.6117794608970129,0.37799099647717593,0.4454903102390946,0.4963130453117481,0.4921123499880711,0.6217826478438006,0.5704376430764975,0.48125049552617494,0.711938089212702,0.4811329247735715,0.37346473837148625,0.3525529340686853,0.38233464202587264,0.3855835165450727,0.42647502468302323,0.46494665774221366,0.5774005521206478,0.6532172063680716,0.49352569352348447,0.541975320679916,0.446896197413872,0.4841420074100067,0.3757623143362943,0.327612369086753,0.38995039329476805,0.4443165419283708,0.43346969643195793,0.4147262422920305,0.4521823082859518,0.5044963881375135,0.49975024949965,0.4782278093150695,0.46568889034592376,0.44494922913294027,0.5406609552775131,0.6335260412836872,0.4573845066455311,0.4059480925840543,0.4604998374393829,0.6996049902394403,0.8698756599758034,0.5721870307340253,0.4638841629498571,0.46375919227283247,0.43077336320293136,0.40822768045923324,0.38914012547135063,0.34478655880358366,0.40060522223091155,0.4847794721284585,0.4687969382393632,0.5936377345393714,1.0743810196078525,0.833460551828073,0.47832166405901955,0.3964925833166313,0.42635368954423114,0.34689544502759606,0.37575322864817967,0.42369220722770945,0.39129952901313597,0.4365010480826595,0.45611501839768026,0.600328579294386,0.7759363662048552,0.7698439205295815,1.1904262678651767,1.0156868572039264,0.91229644994812,0.6482625919094253,0.5043225277734958,0.48551251832757863,0.44347522470031076,0.39145422565018634,0.3886386790940377,0.4205994639687861,0.46952812765730123,0.43552966957983785,0.4002144206076132,0.5319805749335434,0.432433770856251,0.4944438491411517,0.5626909105904755,0.5883175824943734,0.7758962278356186,0.8290304081302665,0.9506095404448822,1.348641115735687,1.1896279537312033,1.278559459441311,1.0255787184782406,0.938041922403904,0.8727984857485854,0.6692240283848933,0.7372823056393565,0.734562958261931,0.7082327099768763,0.6634241115088224,0.7754028302669469,0.6097878698505301,0.5759157526609748,0.5689239756411614,0.621746458147914,0.6756799680017881,0.7304318352538849,0.804491730388933,0.8543592306968589,0.8554311823547708,0.9531123431831179,1.0150754749614561,1.075520794750698,1.148478046744965,1.2306811272910145,1.3441579858246546,1.2315281643831848,1.2658441461089522,1.0706768298328495,1.0241069514077044,1.056358702284681,1.000839925087445,1.3600308798259593,1.1690868402431238,1.2636093763881142,0.930957776488887,0.8359303968911165,0.7731828480507699,0.8163516407153895,0.9661792301222489,0.7933627970099695,0.7611114471149758,1.0078340473551453,1.032875010874781,0.8295441008793683,0.8884725061958557,1.190731733480504,1.028623965074671,0.8777112751590085,0.7002349565155561,0.7279149831309802,0.670028377730571,0.6913667031913074,0.689834493942947,0.7015839761848838,0.7603549804976265,0.6585364732001395,0.6758669856527474,0.6883678187136761,0.7032617357752671,0.7226608174548177,0.8322708817359935,0.9145728852597256,0.8917839848067368,0.9149305378596694,1.0274103608266416,1.215808481140142,1.059228305624373,1.0365413812962845,0.9863087193315925,0.8649921510098308,0.77168119497427,0.7843664545509865,0.8699572442241966,0.8221286133652431,0.7604381771872522,0.8724656165161888,0.8954386435014591,0.7798907963625619,0.9264639275061128,1.1356966952772947,0.9361629645493872,0.952669008146617,1.07157614764695,1.2769406780605674,1.0769228919858342,0.976371176825736,1.4457741157582624,1.2563454971040242,1.2516001229295073,1.086518625319504,0.9665984161488433,1.0938998185344513,1.121591854881025,0.8748291175214162,0.9776523967528612,0.9654641856265275,0.8377952951199531,0.5983191697398533,0.6136598829209483,0.4739417732717531,0.8715671319714433,0.6650672580812717,0.6597486118585876,0.9313398846082407,1.201906695644935,1.1940530680858878,1.4972388894218598,2.1275400027772404,2.4432514040435542,2.7287183636600383,2.677723840475294,3.7174933971754336,3.7105300143911726,4.733143221765221],[0.7072467441224354,0.738895995246345,0.8652301300718273,0.6443983313396736,0.6474440926747964,0.5161483634361863,0.5378959293558144,0.5408862990346421,0.5683570003371067,0.5409171854672837,0.5501320474077365,0.5931100799145614,0.5585445920500423,0.5526277003592538,0.6011716772569823,0.5650007192979256,0.569151879993504,0.5743201650392256,0.7104968260988183,0.6528082657286097,0.7215514550638722,0.7552824414124609,0.8911043237702675,0.9330162225396401,0.8527302908479422,0.7774844684181293,0.7127570970813699,0.5998802601040109,0.5886186596607353,0.5781867088677485,0.6144501950070989,0.5751407062534707,0.6103391526831341,0.5982383364148525,0.5771458967563149,0.5895521614100271,0.5914693151740037,0.606225240156718,0.6069773096993872,0.6520485562324728,0.6075472847342105,0.7195980973615909,0.7991234056911115,0.9844273957378745,1.490001773653851,1.74558438775493,2.028667317317879,1.2705109413187976,1.1168937558301995,1.2934212903013174,1.0459367773724502,1.0265047756562071,0.9607623681681545,0.7741216883503866,1.0198855387689314,0.7831765739137704,0.8129932775704285,1.0214303283861714,0.8460461265647489,1.1800307134336525,0.9244793661753389,0.7923609498235683,0.6963360855553061,0.8182820692027812,0.820737363921884,0.7035481632292977,0.857163628705045,0.6820460716447013,0.797418290908112,0.7813247973556611,0.8902503195347639,1.0961312441970834,0.833073639557948,1.0250611728430568,0.6827172666011222,1.304842933901229,0.6719191557984141,0.6350936273236405,0.6423267162794933,0.6861351003451012,0.6406536080812304,0.7154024917729501,0.9302729043977712,0.6661572826942633,0.7254896237904572,0.6172854450940153,0.6468490726284056,0.6830667326004646,0.6194102766687666,0.6288186126373774,0.6474744523101954,0.8319508536048579,0.732601247614021,0.6139366343255245,0.5898760194353326,0.699558441426294,0.7685896456355359,0.6231768371694361,0.6269191506376774,0.7584497711816077,0.593335232044401,0.6854011668513327,0.5674018258245486,0.6374406728606292,0.6683994078204728,0.7096946763876916,0.7926533290368428,0.6409840624937179,0.5815438967463528,0.7967398526355192,0.6476996038668136,0.5453107950180391,0.5087945964409589,0.517343468734158,0.5534046664238115,0.5721216114237369,0.6175772552265985,0.6765544741225458,0.735367527216133,0.6103578456380411,0.6272309857046033,0.5968495067783809,0.5965183946142145,0.5437403691490046,0.5345646019551109,0.5247120089926169,0.5822900841899071,0.562391880238301,0.5595504545783111,0.6242420993490768,0.5861029270167034,0.5696085094908655,0.5697674922792896,0.6208571263928387,0.5541251640597465,0.6639701644222331,0.6821503210237476,0.5496384054567355,0.5334955783502684,0.5800384636578245,0.818414015901826,0.9194152669948373,0.6546728569498353,0.5667630825441828,0.5648571298675931,0.5697968733314748,0.5488567007062981,0.5359425792382356,0.5158307314607754,0.5953489502179308,0.6628505761961259,0.6533757120085539,0.7573964095764538,1.2879924748039602,1.0335182637405091,0.6678291125464882,0.5845644376958397,0.5888607073830954,0.5463994229691954,0.5956932180795783,0.5668798741932313,0.5492841420520677,0.5467661614778541,0.5624777642788931,0.646515063873907,0.7593818968417896,0.7672949992635576,1.1717140101408214,0.9830973893500049,0.8910676008347751,0.6913681086376104,0.59425844729617,0.5943277610735513,0.5497199436338206,0.5224061058841551,0.5702679487326618,0.5779346679048722,0.6519097529669441,0.5383077571868087,0.559425832294505,0.6131615235892787,0.5942106139635075,0.6239144118872242,0.6451747621189222,0.6385109974302657,0.8206745475678867,0.8939540555690808,0.9623314539418417,1.3596765225830296,1.210036874957759,1.321262548420469,1.1609933911776047,0.9951663298853349,0.9160896853435194,0.7070025882940232,0.7457837562601938,0.7367649497034908,0.7480728787966197,0.6918933818206789,0.8417442855780887,0.666588780657542,0.7044355306457915,0.7121611755691194,0.7004012254453013,0.7502795994844962,0.8346690287339747,0.8898796654345474,0.8997020842029886,0.9254413572407072,1.0302086164616187,1.0732543272925479,1.1296886494862433,1.2256806514686858,1.282466323179707,1.3924557846429557,1.261628685732822,1.2907811048530575,1.0553226905702517,1.0289707773635401,1.0535410707238972,0.9819246224380732,1.3093949021146805,1.1464630642077651,1.2929669101749186,0.9162376105582758,0.8336796388597458,0.7985063965901563,0.7711401691384089,0.8914760544343056,0.7870510745351359,0.7334871609027949,0.9229214679909843,0.9567226133753336,0.7876253035235575,0.8992676436175074,1.1254805093404132,0.9846255407443498,0.8541001099777092,0.6949416874632216,0.7761392033388714,0.6943195323483403,0.7510301561019889,0.762061352929273,0.766869131471219,0.8988768960047208,0.7593472297912736,0.7575853926575984,0.8437069326189961,0.8399917751406081,0.842128636343087,0.9477056908545575,1.0367364585564196,0.9934268680902705,0.9917388236110678,1.1124231650185028,1.2891411689987853,1.120986801941071,1.089145736729855,1.01837858157058,0.8954202030351549,0.8314746418812295,0.8049593313801685,0.871691049942248,0.8586078391087059,0.7899525875968212,0.8551038417216466,0.8867743219220555,0.7917831837366152,0.8962809576792633,1.0937315768796019,0.9203182651657129,0.9153541950867242,0.9855687629277472,1.195714068203564,1.012701344093254,0.9393687167346954,1.3851511492581514,1.2533109503266049,1.2242019071165544,1.0649649802243075,0.9772721552885487,1.0925339523539106,1.0944651866901378,0.8921998654652257,1.0074178078578668,1.0004293576535843,0.8804210491919443,0.6943675401174129,0.6962526978273712,0.613826411377725,0.9820544220675922,0.8950780624406293,0.8448334448987722,1.178733248746969,1.3302434561173653,1.2962691572800404,1.6410992533578281,2.2247684030687376,2.527101139375862,2.743055689425076,2.7182180365406214,3.827889552249023,3.917265572215523,5.000933680285323],[0.7223772365804184,0.733003069329594,0.8803747608668012,0.5924305365325709,0.5719481067414586,0.38300728073554624,0.32957269332092637,0.34515016389878306,0.35307794760665695,0.2624258310989966,0.26756676547298064,0.33079861279683503,0.27039903247383223,0.2881357942598912,0.34638844543899616,0.30269247991911513,0.3878603036403726,0.3992861390345274,0.5349993197894726,0.4829178133515957,0.5294201432992238,0.5795919424967406,0.7325200456444306,0.7781512261205566,0.688990307106309,0.596289690431747,0.5409546319287918,0.410567871199923,0.3912967431212729,0.347737871859305,0.3743062663334502,0.34847347149098884,0.3455834419017418,0.35373727930272947,0.3358714700300405,0.3781322359394882,0.35065046577655357,0.4116584736463615,0.4128129689777495,0.46754574435600404,0.46294918899175475,0.5683823506148651,0.6490793035900888,0.8770789784116174,1.4182493286309865,1.7389770660872141,1.9611523840879432,1.1761781684140937,1.0698195190035382,1.2311340869112057,0.993978846756746,0.9604537457318277,0.8621509053580918,0.6500990982222158,0.9466680847227037,0.6273306387974257,0.6500712952429067,0.8873138719932223,0.7357223435407656,0.9714843805301362,0.7958477891830594,0.6580280139796236,0.5375236258723237,0.6756608424527882,0.7049976411882012,0.5348871425490105,0.7038589819030625,0.5013286565763121,0.6724727044365689,0.6280805702693285,0.7765972661760862,1.0193610931461892,0.7058822296867767,0.8909307619846218,0.5381858957479303,1.250830962940406,0.4904303640675901,0.41672430381875214,0.439499409190131,0.5248077628148116,0.44283074698360925,0.5435637635273127,0.7890812142289478,0.5088215989365162,0.6166763560958907,0.43401487360241436,0.4403270616151408,0.4983533958854687,0.4178332292165356,0.437919129824464,0.42991671781783736,0.6407660374600729,0.5217356869395291,0.36434225790754515,0.3545876248135618,0.4644246915943579,0.5863541483273267,0.3737244680016134,0.34195402999083724,0.4953559611586301,0.35049401400921554,0.5522222439128881,0.3404221541023538,0.40820720364381896,0.45759033915949576,0.4907873709674975,0.6318129843716187,0.5100392887657988,0.42945278078166416,0.7052561632784342,0.4598102312015584,0.3382811754851832,0.28958964139361887,0.31163905323636787,0.2984920982012203,0.33912107267486336,0.39292300997656027,0.5445000111222756,0.5829529124662722,0.4248069103609378,0.46457288916582307,0.3689394268209664,0.39790389587307046,0.26992556559665803,0.25909659067784785,0.34556532563669057,0.39266015320427206,0.39683167871976194,0.37515238137416856,0.42523681602143104,0.4352152388370734,0.4191084868212406,0.42475469814777855,0.4465411228641822,0.39612640985208386,0.48045304098288577,0.6130963155281068,0.40338645897320263,0.3760588045294352,0.43401993244592346,0.7280470741995235,0.8117411203204197,0.5245260461084251,0.40251461649833015,0.3963521113706935,0.37382670240689364,0.34203085548742823,0.32632096947430117,0.27449207004262477,0.340316066817549,0.4435560767956919,0.43803494743138344,0.5828390713833184,1.0464658138888707,0.8214085802624339,0.4198014619148975,0.3423369732848024,0.3515765618334871,0.2938380346685208,0.33466598520555985,0.3834383898143757,0.34022228742207905,0.38418896332526886,0.41135601369830316,0.4954020424240908,0.7029757809557049,0.6894677181818095,1.1082478760165364,0.942902067668411,0.8604295491625616,0.5991865957049175,0.45401168382132656,0.4357630604086644,0.3975323180104215,0.349863994159039,0.3401096162629842,0.37389006720655216,0.44455147725630817,0.3938900328223688,0.36984235291342227,0.4931377264601592,0.3983161945743247,0.4616103130623329,0.5169436314382401,0.5457854999398422,0.752285223200127,0.7903811154516598,0.9067266342581459,1.3031740908102565,1.1428665928607342,1.1995554855679005,1.0175807637635759,0.8776629844176129,0.8188337657784027,0.6092925064009511,0.6473118324654572,0.6448912629280796,0.630781276436138,0.5995806784636399,0.7253338329583344,0.5740209964722912,0.5828652232684693,0.574668459784184,0.6233730181953909,0.6570709107440338,0.7245657736873267,0.8299243279447308,0.8302736127500432,0.8176682312815373,0.9286215968981391,0.9914050070608736,1.0221895267117787,1.100404355320874,1.1781792228756565,1.2794609211322618,1.1627873963347495,1.1949567413429478,0.9629674797163696,0.9474116665482333,0.9590428037504825,0.8783508821625122,1.1854819726919277,1.0097479235643367,1.2088781414739314,0.8288430847067652,0.7458511691367744,0.7078711178500838,0.6977461607497387,0.8208179186890345,0.6993818795307739,0.673746954209212,0.8733464910196653,0.8891377351602764,0.7313283031048906,0.8527626130532358,1.0196144669806901,0.90976684110822,0.8181074733987295,0.6364483193471562,0.6834157822487416,0.6312880577446284,0.6984581810513267,0.7408378165660034,0.7395229153142103,0.8514123760904425,0.7012441595477233,0.6792527567269884,0.7509279383642293,0.737103797591205,0.7222479304501478,0.8128451924368434,0.9033064347881382,0.8626985371996293,0.8608191792733638,0.9884122489417269,1.1799169752049916,1.0012029248869747,0.9658514826939782,0.9141053310605438,0.7879568170664988,0.7259485710884422,0.718863782478993,0.7778953984598191,0.7789808802959318,0.7088899658420218,0.7809320939226322,0.8144604181513199,0.7266808408936466,0.8207705422735644,1.0221088854796607,0.8664653106626666,0.8564347677341901,0.9313801074791336,1.1292047306005186,0.9648503536997406,0.9003324503805362,1.3546084696337097,1.2640180669112495,1.131346839592646,0.994569361644765,0.9035371670837431,0.9777934006737704,1.030963585703732,0.8415794421816108,0.9790526272779448,0.9919605042474018,0.8270677530349684,0.6165398370463895,0.5677342679159507,0.4653414957038351,0.8992908725942389,0.7551078869442445,0.7170041410940672,0.9565477538695314,1.1715326947036708,1.1497181507058254,1.4398620188512785,2.0567682147306496,2.4211973159614595,2.551667131421363,2.535243664801603,3.604442768105195,3.6851563198948267,4.8232213477564425],[0.6627259430194358,0.6273108121808587,0.6997782668067904,0.4876333393172484,0.4267613449601714,0.3207722379935209,0.296471442526305,0.3268353128541907,0.3515004407445992,0.2751287786619733,0.28307540534302644,0.3384667678887832,0.2816473273510972,0.29370317684286723,0.3702383883494916,0.32152847490244013,0.3845717834734932,0.3938386494361164,0.5125707092168856,0.44704034890268524,0.4701166201305084,0.49875826889609165,0.6454104627573387,0.7111871187873802,0.5997118749890767,0.5334509644025249,0.4592249027381157,0.3620195755537169,0.376399585655337,0.3411805960836044,0.3710380177132824,0.36053374255775045,0.3802877002222578,0.3548072407143124,0.32058586298622177,0.3544355270509812,0.33195244796332873,0.38792198552604457,0.3745493525732983,0.4150156908912645,0.4148915979061749,0.522182404295027,0.5521777414616923,0.8008560873032765,1.3300035531798546,1.6941702911104741,1.8553968013250812,1.0615660146418242,1.0217350590887146,1.1439438731308829,0.9056419918547566,0.8778154223746414,0.7910349791821809,0.5430756410065887,0.8984674776075386,0.5155442855736662,0.5634620640372592,0.7728511283301488,0.7088093743349722,0.8554718532789833,0.7056482524547469,0.607269245432307,0.49963859662196536,0.6516232715948501,0.6304085832300896,0.49902676749616554,0.7017842665135163,0.5033751362139005,0.683434940131787,0.6187461470969166,0.7829751725701011,1.034522087183757,0.7149101952341534,0.8871238158850855,0.5348712830793937,1.3392395582579935,0.45340521376526643,0.39870401378505843,0.4105702597291485,0.4587621209440015,0.41366595247606364,0.5010320540668369,0.8054755928949704,0.41312899983464546,0.5406344084295784,0.37433095888710904,0.3947835424282495,0.47381771370927345,0.3701963168575606,0.4334914538952419,0.41770249918314134,0.6251785234693733,0.5039230146705315,0.3766892938262264,0.36956545167590077,0.47229714205308265,0.5437654939260813,0.40527301077904176,0.3792961148170347,0.5593313094045022,0.37423212105632186,0.600401657742947,0.34361594360256376,0.3816282680912042,0.4031783383481644,0.43530919414975827,0.6045681936640921,0.46303442948489637,0.40546129195284203,0.6820342648463685,0.38348746553611934,0.27752437430350435,0.27438004180606906,0.30783613064718524,0.2960675126573015,0.29428084951209704,0.3532160500691933,0.5297509907933097,0.547111835299214,0.4041124672503111,0.42052454627948177,0.34515803923367855,0.3951422920964112,0.26490089267248385,0.2545351712877453,0.31752784983108845,0.3019211711648515,0.338784775911671,0.3066629544675221,0.37150309836892975,0.43755273709780035,0.42644214059370084,0.42146179698866837,0.4003521319619821,0.3984200479320128,0.5306714925230941,0.6197806978712442,0.38206131180418457,0.3642425840830765,0.43451628751590066,0.7635073894362876,0.7743073260606038,0.48906177631470577,0.37908855904763533,0.36113598614635356,0.35849523683784923,0.3221363032258433,0.339581951435303,0.26459958816072954,0.33008558758921414,0.4510812570383405,0.46139455385421796,0.6078710775445593,1.1762228904091334,0.8501206277304958,0.4689780003103049,0.35690242867013916,0.371914951571545,0.28719175149685,0.3121272916415353,0.33279828450782767,0.3343553055655454,0.34710580320115086,0.35257019557105457,0.4205556282405147,0.6354730997382836,0.6231368151761613,1.0407806654702698,0.9220676921669331,0.8726372614822414,0.5665793001990509,0.4176689430629811,0.37157091354676713,0.36759147416391924,0.29731472197635633,0.31495776469776493,0.34327490954479845,0.4626355830791418,0.33853193812508237,0.37308063959740934,0.4123892430799272,0.3342615838106086,0.4003701433752748,0.45599721478881783,0.492473542559422,0.6670278752266653,0.7067403657717924,0.8472213533324371,1.2742617187524032,1.0580745572789594,1.0820720794011762,1.002144159566989,0.8346919978421475,0.7905608132831436,0.577765442017798,0.5895574465025452,0.609563205886824,0.5905286916428212,0.5802282032327458,0.7225860965410721,0.5889143182299006,0.6245553682993393,0.5935883471621178,0.6460949004006872,0.7133951932471473,0.7769803069520723,0.9179105317190289,0.885648492629855,0.897449168264938,0.986043234262601,1.0454150677816774,1.0936060531277536,1.1807864554978813,1.2273473992451072,1.3321665416455781,1.2135564563209016,1.2702347375321912,1.0226840551080933,0.9986565744538707,1.021903629200071,0.9414155699376989,1.2360753408437124,1.0494726642727241,1.3519993450288756,0.8231403041936418,0.7749759679122906,0.7826528039298576,0.724160557983669,0.7860168799319316,0.7017158263463734,0.681221366847085,0.7988174910889326,0.8513615359263772,0.7007535774538306,0.8033331672675923,0.9369799595582653,0.868018749227781,0.8076954866034698,0.6254540082715779,0.6435821561417953,0.6245615349116364,0.7495148838604098,0.7830928495420377,0.78575202014936,0.8878564631438335,0.7367449004108189,0.7476852572301681,0.8602351567280477,0.8302394967139943,0.7923550547974356,0.9004331216507319,0.9769014778127413,0.9431025334837788,0.9604728256435474,1.0810188322115597,1.2320184857056988,1.0960420504396626,1.0757544021844032,1.0113597821305655,0.881823694160689,0.7988521030139968,0.7788649262719222,0.8620414217220382,0.8420685532997475,0.7688840706180484,0.8324839017206632,0.8569052168132433,0.7639916647292837,0.8366444157616606,1.07926662744257,0.9055013718628044,0.873415054695482,0.9163580150652607,1.1232901850669283,0.9736665290962401,0.9276935861636059,1.2562179406053005,1.2273835707419527,1.182093302899225,0.9822473556304337,0.9431733720873344,0.9944369879173269,0.9748904509691626,0.865213531119238,1.009060896048402,1.032964851492602,0.8826693427620125,0.6939752566770915,0.5705855930377228,0.4155234041583191,0.8265849839438976,0.8584642730912103,0.7939836447048773,1.169526904441217,1.1602124698237137,1.1501185336876736,1.5498378944683013,2.0791670135064577,2.367178061809061,2.5707505336111276,2.6033780363937127,3.757348683318954,3.8804367039421526,5.02499785237751],[0.6101586749381048,0.5646502904860929,0.6519988197454013,0.5113022790031686,0.3684244858895435,0.32935217435345754,0.3140080541165631,0.3412447862028667,0.36702810366308425,0.25640050673437526,0.26617566699769923,0.3436429583157649,0.2549630567911773,0.26104272535317924,0.34375779882812796,0.2994572776670725,0.3501677254668343,0.35379392822409456,0.47060822404607977,0.42229689304972207,0.44015104879121136,0.46881005132284503,0.6039160334870104,0.656735238671467,0.569660932565292,0.4982993785157796,0.41431710090262225,0.3311967776446844,0.34562304407411276,0.33247105892289713,0.34150173848927495,0.34882200915126416,0.3554716349482933,0.32876178075293605,0.3032787793429684,0.34488153349685696,0.32590103196444614,0.3755578232736066,0.3446111551658878,0.36910024278357484,0.38084732390968834,0.48917286941366733,0.5011849385581487,0.7525856442484552,1.2546936787766494,1.6348718845635408,1.753055990901566,0.9847525697471383,0.965719496217816,1.044268153463438,0.8254750796154817,0.8199918781241398,0.7308491641735034,0.4940720082745124,0.8861612462855646,0.4829653832864668,0.543882708162924,0.7373137324401157,0.7117724326957651,0.8339603229556547,0.6913007127576363,0.602460429478264,0.500237480681213,0.6135738447305612,0.6010094473847329,0.4916140332298335,0.6717765113815958,0.4658214712059262,0.6600595937486233,0.5827547258649373,0.7714046572835711,0.9934218252363662,0.6764450337716719,0.845013090883756,0.5003748070872914,1.2937185599495455,0.43535526881416,0.38183379277144897,0.4062318026428218,0.46123142433513276,0.39573303578359986,0.4845805360433845,0.7850044780897424,0.3696237035554692,0.4933624007452311,0.3540269285886858,0.38089152561188167,0.475764831511014,0.36924823228866727,0.42741471775593387,0.39151196887247597,0.6029448197068175,0.4792190874360905,0.34260821234892874,0.3394079841248647,0.4344391275231189,0.530189272271339,0.3892250856867955,0.3618188258720505,0.5425740600702539,0.37285086961645936,0.5857737882412647,0.31858743814270185,0.3786359971284162,0.3776678825935114,0.39773303159444723,0.549093313141228,0.4176378455179629,0.3465136643510607,0.6305588911486728,0.3052215887678856,0.24187008055549541,0.2714928929260466,0.2676863984263123,0.2552904538619547,0.2562977849899097,0.32838291450377904,0.4709461224377604,0.48004672693539313,0.36581787073255045,0.3714458093918079,0.313702788297625,0.3428878783938406,0.23636237388210538,0.21240084272474877,0.26929629494729185,0.24390905861988968,0.29025726022121817,0.256461141466405,0.33126650218909515,0.4046856281085791,0.38554843225790386,0.3763010449129667,0.348659279446009,0.36588989252519805,0.489239880069262,0.6067466010837628,0.3340763113820854,0.3385950891821987,0.39357630990571296,0.7326492080052427,0.6760954231904139,0.44740124693670164,0.341442131290533,0.32463490302942277,0.3288595544208322,0.28291782257563597,0.30790521218042183,0.24606597804668223,0.3314168854928037,0.4347072140562751,0.4741748349939922,0.5961909225555924,1.175197023993715,0.8617174846587142,0.47196301893163123,0.3556573873007789,0.3772313571505736,0.28138518570135096,0.2994214013742276,0.3309693923919289,0.299279320687954,0.31022907820190027,0.32843107976798297,0.36762254726785526,0.5611437530070558,0.5580207039980678,0.9531399450095916,0.8441197940348486,0.8215900530873894,0.5171145824597421,0.3661078692177524,0.3282733655342748,0.33456025812618,0.27043635816001427,0.3038329462803019,0.3340594976298374,0.45833994392704797,0.32140165977661056,0.34908689769192613,0.36106723629030724,0.27963847028609823,0.3397835488853324,0.40213216964267423,0.44706794978829034,0.623883850038842,0.6526942257167947,0.8060134374093937,1.2234335846544815,0.992064300872924,1.0011971072240038,0.9797955892207231,0.7864802928217706,0.7521255249719598,0.5380518225787942,0.5187733127241398,0.5669287701088332,0.5518205368161412,0.5214556630366294,0.7097190160041632,0.5136712409536436,0.5699765928319229,0.5435733880672924,0.5517607651380645,0.6043321077882029,0.6780073138479984,0.8156110451320995,0.7502441635921688,0.7571262532062905,0.8423378220884098,0.8997115255198777,0.9187326376712875,1.019859241023284,1.0759437402375058,1.1527652439056737,1.0033924631727316,1.1057620221373639,0.8301063541392982,0.8254315859417725,0.8291187267099248,0.7465583924744612,1.1129825406186102,0.8643970115006551,1.2025855851833507,0.6957573756339663,0.6496044670739889,0.6947329296408276,0.6631261022117341,0.6303304269851148,0.5677674504874212,0.6229518967229963,0.7076710386116695,0.7225523371361052,0.6074087835549884,0.7996828567406804,0.7708539866246287,0.7471913504581966,0.7224823891238461,0.5377881906581872,0.6552569310423496,0.6114080097092629,0.7452238808062085,0.8049266256485104,0.7731762479522476,0.9016021054064982,0.7203461146900271,0.684907130972235,0.8347418334888346,0.788369401340899,0.711397946335555,0.8029346727560451,0.8890974417139,0.8348714953062387,0.8294483806102265,0.954259806929729,1.1096326589901475,0.9337990928996371,0.9004119915542068,0.8410642889718339,0.727689151592957,0.6793171537467446,0.6590959863679392,0.6897463114209265,0.6926487283768472,0.6303085705071247,0.6692306772590008,0.7038054259091808,0.627370839256401,0.6711335958713919,0.9061272492121373,0.7638327468346395,0.7386917955032245,0.7688254809790301,0.9788482274878867,0.8470866767870242,0.8011940862063833,1.1581548917850684,1.1696952785727597,1.0169757510480848,0.8396455064428783,0.7640364580194575,0.7444004562912742,0.844576020898526,0.7544969372709182,0.9266456465234488,0.974697044937641,0.81987214678451,0.6710447331739549,0.5231410978315082,0.36842033644548194,0.8522814283615238,0.8195059439887927,0.7350094598539985,1.14855288102422,1.0575350093818174,1.0527033700589368,1.4456202685060633,2.0057991049098156,2.305923057415654,2.362739082747242,2.4593857315475716,3.6686991054970415,3.8528426308169434,5.180061890321903],[0.5811440850427798,0.515209731901708,0.5176765158059422,0.6005067633790514,0.3477809709965699,0.317583036071289,0.21057517320881491,0.2614123489458544,0.3114398586511552,0.2858749487203082,0.300028681361809,0.33110076731222265,0.29567033329386616,0.31949216513066436,0.4020503282943463,0.3447561842330436,0.37095317496844366,0.40521708063705214,0.49533304264010997,0.44391312565788954,0.45177930091216106,0.47535564560829835,0.5913077974466305,0.6353224711777469,0.5580055121554879,0.4947774844688031,0.3984222216349526,0.3513506156239351,0.378065246960348,0.3403248396046708,0.4004225377851314,0.4022935820426169,0.34642936614852465,0.347477822718723,0.33550019552595106,0.38512727634503535,0.35007817658271106,0.38583669451858327,0.3577160698512343,0.38506392012827734,0.3931385643475736,0.520352835946626,0.5136582877236388,0.7621225376799324,1.2232722791081232,1.6384629535920243,1.6924533711572363,0.9496972548935759,0.9735234837786862,1.0160750075162208,0.8325388216225056,0.7548605158765889,0.7027683275936242,0.4959209551388382,0.921751102191026,0.5110507937086122,0.5644497299024268,0.7388584896529282,0.7750743638120473,0.7932744191910515,0.6766905666088077,0.6226501521444758,0.5018876203927853,0.5951500765629535,0.576091257388773,0.4892441715184517,0.6737726672727198,0.5109045786996568,0.7078327555057898,0.6456038653912062,0.8340560316353594,1.0620741201944164,0.7512131357343064,0.8779997918304252,0.5440238176451145,1.3002480778704835,0.4591598237029753,0.40527715808903647,0.3872600620146875,0.4695595151297211,0.4226515719465348,0.49649663116808335,0.8358706029685489,0.40627369896850885,0.49053439397003584,0.4160704039759127,0.4024453774276718,0.45789754692127427,0.384512639598946,0.46278914107840236,0.4072128454100239,0.6099402238436293,0.5015035987603004,0.3718760834517775,0.3775537700745923,0.44375920047731116,0.49990674230500887,0.36578273574360737,0.36173867877765226,0.5601507289911467,0.3803122452221412,0.580901207963255,0.3527739833297873,0.38048094424014467,0.40034006233991604,0.4252751470319059,0.6620901305970108,0.4423729175970545,0.4171152888260774,0.6952892014506188,0.3490212134226575,0.26405376456993745,0.2534671259744166,0.3150791776427486,0.28134633533334075,0.3053936337138626,0.37397701912665393,0.4903535888484388,0.4718116971147993,0.40609651714483813,0.40435223545107174,0.36102266094836893,0.36850999206533724,0.29878994207155496,0.27804660332367653,0.323362714949088,0.2525796926854442,0.3164614607497822,0.2873938894630663,0.3601279223202682,0.4267686629788039,0.42944352538050595,0.40403638323698854,0.41434027919888294,0.41266050293154993,0.5100456199263981,0.6581954336997203,0.3665867186306985,0.3592543082553149,0.3990162669566224,0.6953186701014219,0.6417915407057683,0.4360876235910161,0.3555231146763647,0.33400953219258217,0.33899073800461527,0.3049911684549597,0.31718988389598474,0.263583489320553,0.3116647978261398,0.42881508503223614,0.4195835472064063,0.6050154449221659,1.1587462465303802,0.8255786034593448,0.44542758505802765,0.3517440986891985,0.36093998933749905,0.3007028311383812,0.3192873100045383,0.35397344532783886,0.31618739789036737,0.33550377423054123,0.345917658629307,0.41717000753039224,0.5665032560295965,0.5523329708869208,0.892212571881445,0.8425283179542341,0.8405422435577057,0.531895864909292,0.39864994389320285,0.36891780928364964,0.37344339596546033,0.3044391089752914,0.32709676588546344,0.34909387252271384,0.501567835243689,0.3373243806495339,0.3797152107209881,0.39513543399883205,0.32495191027627035,0.3728573570820999,0.4353753784392206,0.4860694048745914,0.6378499629172009,0.648447830247308,0.8278885045338167,1.230176508707522,0.9680292571530834,0.9530151519939617,0.9028018613832831,0.7516331461126685,0.725284691477817,0.5264044194844999,0.5124272008691236,0.5901283895840616,0.5331210880710024,0.533454309502436,0.6993656926162642,0.5703870796130999,0.6427875135748458,0.59149430882031,0.6084949322312886,0.6823481590673779,0.749210450035823,0.8735582329197445,0.8007940724475804,0.8418021516737803,0.8971070354115732,0.9367709180551168,0.9695381773210059,1.0772269477977992,1.0953781621506482,1.160860870530127,1.008305448144418,1.1437401285243856,0.854331080871617,0.8657984329770604,0.8791494814029334,0.8060752905955538,1.1639380898928835,0.9267089241936337,1.3393262082615072,0.7687850816404503,0.7443968577611081,0.7945645892504958,0.7314374570960233,0.6855973307339965,0.643997679617981,0.6828082615908708,0.7140592790858474,0.7641546803831039,0.6439778158621295,0.7723499485843096,0.783499882097511,0.7577030869143189,0.7635013206550517,0.5678887328100904,0.6291179430757616,0.6300266639725333,0.7892194296422599,0.8551884631788081,0.8539719377916019,0.9694367601888458,0.7963567243739702,0.7790939287694936,0.9574593933297945,0.9058726147081547,0.8116998406914011,0.9156188299316815,0.9944524733685006,0.9273231349764953,0.9282017171881805,1.0553516435951984,1.179517025498297,1.0145434811274547,0.9935005072762749,0.9305430144139225,0.8322967872845386,0.7831066371175486,0.7528627116832376,0.783705505382418,0.7705220611553992,0.7159313617863791,0.7366087681735206,0.7641930063262149,0.6831055693947491,0.7120689028524214,0.9456408135136528,0.7939824825380386,0.7552960186117721,0.7798139194017896,0.9730275208094099,0.8468804280113137,0.825157513458982,1.0593740045092914,1.13170957077245,1.0437819804396506,0.8178512359584501,0.7829444381166855,0.7509046144309393,0.8110964056497849,0.7895256496121709,0.9524716527106716,1.0289248761172383,0.8766511008619234,0.7976661340239612,0.5428874449255716,0.3865701207003352,0.8042586171400278,0.9399707711582584,0.8453370154769126,1.3315826473701138,1.1320984186359566,1.114971817637381,1.5754556025059885,2.0511173461796943,2.295861155178124,2.4598049588778528,2.5710905548556924,3.7591528862675467,3.943916834108206,5.154874703921892],[0.7301020884781602,0.5964690053678228,0.5152845778289196,0.6495543748995587,0.33285642131418314,0.3624169907436198,0.21073422937468198,0.26272874713941624,0.27459865361941516,0.270482517027931,0.3098623859028928,0.34963359528241555,0.2888952030230343,0.30773567457463225,0.4367714790316059,0.36273290069398156,0.3615430873152586,0.3999859207509838,0.45472386375610613,0.4258365246723116,0.4407160681495385,0.4550137748516286,0.5712609147361076,0.6016055017900767,0.5443388839191863,0.48172303952905937,0.37147894806743803,0.3460653620165674,0.37554660959699593,0.3537321485665538,0.4161523395266282,0.413066072881858,0.39643219454958034,0.3864680031964802,0.3538049264516811,0.3732870469314295,0.3578303091458975,0.3723162858213733,0.3332076353333303,0.3519165485847478,0.3458809516653117,0.4823568295067366,0.45126765149680886,0.6861004038196731,1.104103504143636,1.545333689687205,1.550110942041285,0.8402150484001758,0.9200116665682724,0.8876018403914953,0.7402612735247055,0.7103028023053402,0.6550255366204688,0.46001732446269805,0.9674086871255722,0.4743490765241556,0.5161759851363578,0.6849408489598806,0.7963839208918035,0.7517380415268006,0.6276872404521698,0.6083564891759367,0.5120663610509546,0.6171909842243382,0.5429636840600575,0.4671653143956034,0.6672459854203582,0.5180433233315597,0.6806744274019813,0.6216325291791951,0.8332904219629969,1.0813821307686358,0.7593196228956544,0.833206427460238,0.5628721956683694,1.3269612772996318,0.4564774189343701,0.4005632164086037,0.3939108252348916,0.46386761247356006,0.4385685259107897,0.5188838957058142,0.8802889297568876,0.4406537384615065,0.4477232167438415,0.4091228331753184,0.38564124370891534,0.4831550592557707,0.3759794607706678,0.46430208433820275,0.41378285096293127,0.6243288463415713,0.5076341134839744,0.40442843104466886,0.40732494655401474,0.4832446855914185,0.5197376418341938,0.40032820413013687,0.39875319872667486,0.6023944633543172,0.4047219937301604,0.6065269988655155,0.37888406562781207,0.42026467057432626,0.43682685643735086,0.444829614463974,0.7137550926931201,0.38007615025926533,0.39555262825802306,0.7031437252034511,0.3312961413436929,0.2707859249433735,0.2367340879517758,0.2974114055710437,0.2645957806068269,0.28023394675233615,0.3617131271855516,0.391192064379437,0.41685443581114234,0.4320211401360085,0.36412137504674164,0.32557585434715564,0.3158347251348462,0.27220192754714745,0.2586780715902932,0.28638707379069284,0.2807961875959636,0.3083257918888728,0.2668674395249764,0.35831730637847165,0.3855918005091297,0.400446337715614,0.3514374658090146,0.40890352655084894,0.3803511713483511,0.4614416378997903,0.6415179419747727,0.3182438578212566,0.3271753401686864,0.3551268829308347,0.6627244495184436,0.5523152050653951,0.42034458242394745,0.31626605258301843,0.28702915117905514,0.3105031269950649,0.26866225753953765,0.32628402003790213,0.27469347066046795,0.3378322156912831,0.44035494758983823,0.4562554886829922,0.6719689652225409,1.3440264265015018,0.8834290389280507,0.4947424802688489,0.38041009408607307,0.400569555155644,0.3151630790674927,0.3786216252234862,0.3302533714206309,0.31088317163108986,0.2796859094048048,0.28953060976123207,0.3880604112792453,0.4847925944415081,0.45892927184457166,0.7541464898919614,0.7423985905517296,0.7479734424563642,0.47813264313629744,0.35373355413498025,0.3117811484999256,0.32385414339175345,0.28702734642915617,0.34873049205692447,0.3585420560107088,0.5657430444772048,0.34839013741048525,0.41532259837513597,0.33376576053227575,0.3199413575930556,0.34282924714260377,0.34743784135573874,0.3926410836495057,0.5452303162754472,0.5482287292832498,0.7892571723251186,1.1453158448797647,0.8608477746573403,0.8561724932279642,0.873614068892848,0.6957946976745456,0.65892781424046,0.4647088272423861,0.43986313205917865,0.5758118767533091,0.45695568265664044,0.4792324252970679,0.6386595628919202,0.5587053700168373,0.6639006804509165,0.5796269157824504,0.598185925810653,0.6766658959460206,0.7283852300068949,0.8393659325017356,0.7835189069358416,0.8264651096056876,0.8656869996944315,0.933773458420257,0.9621625736481397,1.0563180619717063,1.1143107412386444,1.1570576399435715,0.9660497920239757,1.1666317361792502,0.855489301840865,0.8689887381394986,0.8790180091216335,0.7991014905527711,1.2588070952085568,0.9139524459614002,1.3784876993800723,0.765661090003002,0.7834638260973908,0.815351909527102,0.771575802174203,0.673709122535498,0.6382796369457167,0.6975547836271956,0.6766989161682395,0.7128403872563203,0.6130417169995389,0.8021525562394823,0.6764005235287049,0.6917687953881957,0.7363940483433022,0.5369341206206276,0.6123505509531104,0.6359328673107866,0.824004215510598,0.9154577064805873,0.9385795869634206,1.0543886716535587,0.8488141012049866,0.8194033852281808,1.065293063311493,0.9654623699292965,0.8414023154317204,0.9529456718583617,1.0280873916052355,0.9339067499707244,0.9467296341851369,1.0778231242184337,1.1738163396067334,1.011159995444776,0.999722713600491,0.9366578881361415,0.8490957589619879,0.7953224256568265,0.7691946760013771,0.7946803570975162,0.7755258083543212,0.7248894900920162,0.7303648621623181,0.7644405584534488,0.6809474247112239,0.6834273197492478,0.9052531156429673,0.7695101434415041,0.7103476689228598,0.7390585208254327,0.9291639900283453,0.81657406340742,0.8204165175151676,1.0236221700744381,1.1322384599776067,1.0488539665343262,0.8488540867091369,0.7538765137986394,0.7111511534674321,0.8763696685979208,0.8275026914518502,0.9650813961597713,1.0023613307846841,0.8103057556565183,0.796381861681661,0.4808650850951241,0.3695823825598256,0.7598263644620107,0.9849207471109381,0.8719582216091064,1.4826778879018756,1.0202233132828362,1.0337010213753959,1.5436481617894544,1.908556088736677,2.071270039050725,2.2100806989060393,2.486429340911568,3.7378402329657106,4.106025464829981,5.467431737132676],[0.7835335326895534,0.6336070515517414,0.5026386658214351,0.588564644366825,0.3774988544219327,0.4136422217658509,0.21969987432456556,0.37448199223122314,0.33868661904161274,0.3137284677437348,0.3549179284610582,0.42765852932100035,0.35024401593612986,0.35058620468330487,0.5082256644519353,0.41941563227165357,0.3707655092706023,0.39564091490719205,0.42013262822570757,0.4247538362597025,0.4341219793871542,0.44806700883872647,0.5427247367640495,0.5552665053777136,0.5415172499791474,0.4582598620171756,0.35334362876790076,0.35304717728884455,0.37936806178619137,0.3978709004594159,0.4643149675162087,0.5017015957951787,0.4669164057159701,0.46512487247846773,0.4330243383878775,0.40509036507767837,0.42514745649223284,0.3977545275591417,0.35464287999504096,0.365071074374719,0.3338692269397916,0.4581104851256286,0.41959478877669726,0.659998197881713,1.063355055540145,1.5255311527607245,1.501270869448424,0.7818361548979536,0.8849218192435832,0.8361577553849109,0.7114927362737551,0.652639699024877,0.6232951759631198,0.4444780736282452,0.9631907635294612,0.47437418088570354,0.5365368515690465,0.6590007343093487,0.8163238170348109,0.7528560549690506,0.6226724622080476,0.6658062783461237,0.5589141298436908,0.6273548738604067,0.5193565791105147,0.5090520085940133,0.6600082318650207,0.4982772916283899,0.6654419864059471,0.608280644283417,0.8509507171199561,1.0641055385567288,0.755022456961325,0.7846401135970644,0.6043372570417435,1.310087725581261,0.48964405566446034,0.4530843056104211,0.45719638092000014,0.48655256408465314,0.4751876027450398,0.5345633381308287,0.9279267952822927,0.5153696791800757,0.43498352710023863,0.4465353265629407,0.40284835964308613,0.5521279170745527,0.4125368897819965,0.5427164793266291,0.4473925109511224,0.663606181974052,0.5417721550553249,0.48025562652083176,0.47548395261163584,0.5459730351465183,0.5651732317253259,0.4768643400459138,0.4935065172876718,0.6923087193435498,0.5055632277629551,0.7288474673838511,0.4755322716593226,0.5381970671192958,0.5246545882068788,0.5268712136885961,0.8148928375764696,0.4625972631394772,0.48018207541402214,0.7591063178556061,0.4155369112945179,0.3375321994735471,0.2756066735623523,0.3414405461457723,0.30078114445879767,0.2880177505923939,0.3737916672577262,0.3812995216969766,0.3849034149169383,0.45435087922029577,0.35397756570096234,0.33201082177389796,0.30244592542399185,0.26543858189933284,0.2579922350278798,0.30737266429424265,0.29926996624197477,0.33890027999266675,0.3237566765993728,0.4165288217073759,0.4251090619201828,0.46889418638160885,0.3934145926974136,0.46260159681037666,0.40999399688767757,0.4686415908796891,0.6782720581251644,0.3356655030529484,0.3289928227426999,0.3349539599459786,0.6004375682267307,0.5096357233217929,0.36843602525132846,0.2969975272302074,0.29338007697969104,0.33881162805188,0.29507508946841615,0.3676734728250252,0.32875724587388133,0.3908688542818806,0.5186204634204494,0.5376650230077121,0.7762097266308636,1.3372537752618587,0.8817898338523015,0.5960598982027521,0.48786433359142556,0.5274088269300778,0.4195137904464508,0.46832314557946547,0.3395187500766274,0.3634011537325104,0.2798271248943247,0.29795525027799363,0.44602107949242686,0.48398976123065746,0.4586519348479097,0.710312274006501,0.7498469706971387,0.7533084210012927,0.4767419820797163,0.3464233367322545,0.3340411364232591,0.35270870330814086,0.3412953233428006,0.4411454870303945,0.44954982696354906,0.67373598296715,0.42811217716259325,0.5174091242588541,0.37421005875225033,0.38031010502246604,0.406257539959337,0.4092574480841775,0.43332214723131374,0.5144497390899622,0.5066170517295882,0.7648347445836721,1.1251127193507264,0.8422520715911145,0.8476786188257578,0.7928310336333857,0.6628132730967101,0.6304884539733431,0.47025920582264863,0.47058468521790336,0.6312283781411584,0.49799641743290407,0.5211110948498614,0.6573570538442198,0.653355911299211,0.7613463368650472,0.6533339024014487,0.678895476597572,0.7812047582247698,0.8224350085082675,0.9102457651798181,0.8590936255981455,0.9232355167082474,0.9347974299138472,0.9907842334925681,1.0219541694828937,1.1129460603618624,1.1494459843663676,1.1788562094788404,0.9867232378100237,1.216418671486411,0.9072841582905624,0.9393822755873656,0.9447844653292443,0.8812013339872977,1.3549846436372641,0.9949713117480047,1.4690595893186518,0.8650224503639207,0.8950991937212835,0.9249816610702146,0.8782319565001138,0.7955432536439578,0.7509896166917847,0.7908401594056681,0.7560908348051608,0.8033544686880446,0.6939180856834736,0.8106291684103228,0.7412316215352973,0.7260729770880323,0.7997866410042243,0.6021373302132244,0.6545548162260444,0.7026991934075523,0.9025454750063142,0.9832145213913167,1.0344500917412982,1.137982945396999,0.9430323416520108,0.9413977694086348,1.1717050609358757,1.0764339960099605,0.9568710204761254,1.0727139022436754,1.1414610895953996,1.0426780895850214,1.0521627553658701,1.1729276786893508,1.2418710466390481,1.0925968600131497,1.0866802577696357,1.0240719088824837,0.9574123724139303,0.909817512421135,0.8816023124738475,0.8959343373083467,0.8692124635323935,0.8360065734851984,0.8365056530495347,0.863620407401426,0.7759907278879945,0.7798817920564709,0.9833107648432934,0.8383473490483299,0.7736446562775258,0.8131310342668296,0.9680933976882116,0.8692895244954474,0.8727519969591858,1.0110099752832407,1.1304322451698676,1.1006851495818664,0.9139086401861548,0.8071958817578818,0.7789500126292858,0.9638514532967787,0.9106291921390421,1.0228282577015955,1.005511514916934,0.8569995645778168,0.8802074992405501,0.5184885041144772,0.41041569393374244,0.7706263793284172,1.0869519811128834,0.990385646812807,1.6719475010101668,1.1679172556745123,1.1358182641714518,1.699500500020055,2.023033838870085,2.082744881158128,2.300683745578846,2.584316384692464,3.8346535795751495,4.14492380266743,5.393771957892576],[0.8046537682270545,0.6932021543886937,0.575724360959062,0.6141150487052802,0.48500036204911157,0.5323839160215964,0.3458422656706866,0.3823184086066097,0.3000150520495562,0.3197622317241256,0.3497686784712902,0.434593358903704,0.34534179393803704,0.3423610124125498,0.5435062617835796,0.4529674247600604,0.40026088207282035,0.4450927865162813,0.47362945800062284,0.46618220987287545,0.4776240366973477,0.4859955596584763,0.5745468489978758,0.6106840516556261,0.556854718856191,0.5052705262405661,0.410804167563224,0.40517003216352804,0.40428046726942607,0.43411548885329204,0.49755809754566305,0.5226390924796611,0.5129058747762554,0.5135469509999027,0.4634388638203765,0.44027087448124136,0.4486052544387048,0.4426689713168671,0.37947600726321656,0.38755478583178227,0.38664419802698846,0.4894400843718928,0.45420027484774256,0.6425586712290456,1.0246052271544615,1.496216117827142,1.4668935470854745,0.7663337681549651,0.8952791932094448,0.8284666601372574,0.7389147687063371,0.6296166878119969,0.6396402738527687,0.471293456661778,1.0155490662601785,0.5152472520533747,0.5566441796001858,0.64137016020771,0.8366150846167729,0.7482708725917295,0.6587812801125286,0.6858698048231069,0.5853282273741608,0.6633466093841256,0.5454344843258808,0.534419701466448,0.7041301546636578,0.5493409391465144,0.7080300442535391,0.6478364753428584,0.8951395300286404,1.163520866900531,0.7975483612561172,0.7937694609008348,0.6456609173012522,1.3764514400219934,0.5293119703838327,0.502159908201231,0.4968326531778722,0.5175610002248116,0.5227117249374746,0.5790030615519115,0.9389279286135078,0.5874030389648637,0.4654797384854676,0.4721533579955746,0.4391061440513126,0.5679930641664256,0.449371590649774,0.5853942816554906,0.5117421066005466,0.7104716292668374,0.5828240594099207,0.5360278210016534,0.5206982704828094,0.6120002086920885,0.6046085989135421,0.5159097240446991,0.5216516380404523,0.7347978701846293,0.5232998617272996,0.7349691960791195,0.4833441807629879,0.5567743399204073,0.5654678473254421,0.5476270345022846,0.8784702526153535,0.47813205704928363,0.5141575723541552,0.7741235252017099,0.4536137270666658,0.3926390318443304,0.34809807737409054,0.41342032408511803,0.34768831603533606,0.3676469063024845,0.41145655404315573,0.46278121168147585,0.47137961641247544,0.49487719822231785,0.4131341461028523,0.37297740222738257,0.3957731266906161,0.37223453841180454,0.3709647049881182,0.43951781197557116,0.3961817639198724,0.408760257979325,0.41977673037322033,0.4768989869602739,0.501371291432715,0.5588534465062414,0.44424726506010703,0.5254437889452876,0.4332143078642136,0.43618197999571046,0.7034392708031216,0.4239844803803335,0.4402425101536998,0.4431599408481561,0.6828143982157308,0.5657042493296606,0.4460856923827755,0.3862195048694716,0.35662513797684203,0.3767505179103425,0.3346963372401687,0.3954832691115047,0.3705716590555769,0.3978060366972765,0.49152445808725576,0.5281725477116892,0.8418962367768869,1.5773660418070057,0.9079859316193531,0.6233889565448255,0.4917910207292431,0.537319510211483,0.4324323103601803,0.49200816787695834,0.4004071483052556,0.39409033546995653,0.3551871017506663,0.3604182947987204,0.4860056547025551,0.5353332492061886,0.5015310736953983,0.692051738579025,0.7347291471633207,0.7370995844002177,0.49678236354815064,0.38465746506864285,0.3989368228326008,0.4038193655756555,0.3922161075107654,0.4814422687028867,0.46466959252401724,0.7094181653829645,0.4773814174788305,0.5518268132430677,0.4138134352133885,0.4212874354591966,0.4529182061189351,0.44970784837028377,0.4694172236169676,0.563239440157168,0.5442496797711377,0.8487200035348202,1.118685929609032,0.9043863765445458,0.8825663839457031,0.7366528482171025,0.637193386874044,0.6110699214399409,0.4892326167503306,0.49703571442374034,0.6558457059193522,0.540962054427386,0.5639060934146783,0.6996042479140698,0.7079364753217411,0.8091026747648367,0.6903353623480772,0.7178908759743351,0.8387058532704013,0.8651310938196196,0.9210773011037816,0.9070529712543698,1.0081862463998785,0.9887805039073135,1.0597972460482619,1.121745542618267,1.20221524645039,1.2321862040948595,1.2785208540379704,1.0639539828410858,1.3189693330630627,0.9938691977395397,1.0235777038564753,1.0456498954478999,0.987008146735647,1.5128160012098155,1.0980387900691464,1.5452642936026983,0.9637002861235215,1.0008538137441116,1.0064774297012873,0.9749611132410194,0.9013141319991096,0.8230256075744249,0.8676575916997372,0.8203223998889807,0.870682525664683,0.7527735833485432,0.8455592644836758,0.7778467625249349,0.7339039234078674,0.7917369443070413,0.6400315692216562,0.7045395293806394,0.7695401279764079,0.9725295118696893,1.0711888738128552,1.1498135789360773,1.2287281019150966,1.0243439579085865,1.0449839017276608,1.308566481531287,1.1788717090918028,1.039315344066335,1.1978224463100726,1.2693048370856492,1.1380184014602173,1.1790102197732983,1.3303251580753104,1.3666857781495803,1.221419025494066,1.2326291302032328,1.142416131942528,1.082463657735415,1.0137855498626562,0.9864905110708209,1.009496908207241,0.9513000581366094,0.92052887835923,0.9289207248075563,0.9585383961048295,0.8373493342878464,0.8487467035997807,1.0528835542931263,0.8785844897051431,0.80477595274968,0.8676363167539451,1.0303518051184373,0.9275223007325899,0.9256214668811518,1.0618372621769447,1.1677326667063201,1.1972837026016105,1.0042402161016717,0.8691681789495738,0.8751300272280447,1.0458780676517845,0.9786655740515842,1.0726737383337648,1.007411951837922,0.8613921815475742,0.9458903538256056,0.5661558579449312,0.522070268787185,0.7894463812534765,1.063324688178127,1.0028581255716655,1.7955290372675357,1.128185829942669,1.1407396890318047,1.7573299325416438,1.878112851816664,1.8690548113591523,2.2407798223898694,2.666335113214694,3.906828992825022,4.385399634789966,5.577037508102232],[0.8171526082761261,0.9931124374967734,1.259328771070344,1.7282245373997847,1.4775247072287816,1.3204911179637955,1.288951492003709,1.1806395624080288,1.0850963618933318,1.0751007278596167,0.9339319964912043,0.835838190842436,0.9969789902765087,1.0391968329764587,0.9882159157798287,0.9613663774205672,1.0386422087157383,1.0007355704498737,1.030816849160417,1.048628248783577,1.0729826054090752,1.0705121722435162,1.1069464225788423,1.227121884075974,1.2492346924387774,1.1916485824291754,1.2196290876385885,1.1671933917048012,1.0450982688909516,0.9986481743654407,0.9065458923920318,0.9109791848147349,0.7905476269998286,0.8123494083059916,0.8931133950459483,0.9287708133078252,0.9662628334658628,1.061211473822383,1.1697538754136436,1.1041208387355699,1.1928186620745378,1.1016909477256862,1.0397682220000892,1.2602457378605325,1.455635220315626,1.8509633964650827,1.75290032157007,1.3708748488947204,1.517330335314802,1.4348296037575368,1.2531719593196717,1.4221102607858431,1.286715104130362,1.2025792218677362,1.3422751846433316,1.0953252713230957,1.175837378499562,1.131055488723292,1.289284057799606,1.2563267914574534,1.1089457450844746,1.1997314095987515,1.0797540447719092,1.1637359348452976,1.0745832625543603,1.1039845455867632,1.02175400525163,0.941403143538603,1.0763092664284297,0.9822048554745157,1.2088880395605994,1.3342175321318137,1.0537069102775252,1.0331089075030802,1.0084980582609542,1.436354144024997,0.934278027865784,0.8490238890305598,0.925996369318182,0.9424603248382166,0.9367703321124455,1.080716128277959,1.3720871799975747,1.132394122671848,1.064415549562453,1.0195649627849726,0.9936897400159317,1.0392839577820097,0.9650844030124206,0.9267147710659218,0.8566807495440301,0.9642618639825175,0.8326416416066643,0.7884303648124187,0.8226551438716226,0.8246178923777481,0.87894726850909,0.7845969662362017,0.8083735476070762,0.8455263928124002,0.8314063082433678,1.0512292239135295,0.9604471220245443,1.0356016933112009,1.1063963210775853,1.1310703161332087,1.2401245951857682,1.1771322448186752,1.2261259100930009,1.1632384297273,1.1888671609908537,1.2234483737604593,1.2089226360540946,1.2794780405949684,1.2236973435546563,1.274166810086751,1.2317062618247416,1.232648178105042,1.1642083848771552,1.1712680815700853,1.1366076006346804,1.1341302549958814,1.249796332038183,1.274242426928329,1.3068212507804253,1.3014395173171025,1.3236418482819154,1.3926199366751981,1.2705446543339862,1.2393696969179124,1.3496896101002949,1.2678261813592604,1.3394752658030988,1.202740845801812,1.4254441949608563,1.5400152162250167,1.3703292228993516,1.3981177725092255,1.4232510202400996,1.3054827910905578,1.4082259909479566,1.3230358474406523,1.2561873020933232,1.2782099010568004,1.226050990930732,1.1849702987736248,1.219094271889314,1.1801945265600469,1.1562398594890375,1.1408206930389573,1.1448872125647318,0.9865701572262964,1.0652380340615628,1.455443981457307,0.9106790499685803,0.8637322815990971,0.915706302704894,1.0431600120017128,1.0150292929454148,1.1757651987076116,1.1800801153784166,1.1913004701211845,1.2280920496692354,1.1524989916255548,1.3062608160048483,1.3377932060911295,1.404002617260204,1.578534876303774,1.645191886834221,1.6408074799428383,1.4198746266904418,1.3888638417554258,1.2606835976403086,1.1930970953713311,1.1063294036059372,1.089024376231102,1.0488371109396775,1.1509157410360211,1.0787955261719142,1.1893893056198,1.1318152997238997,1.158122752667538,1.2075572512139183,1.244462234843654,1.2366281719367862,1.0746572512205899,1.079857801367942,1.046758425110404,1.7011099370428733,1.0186897249807754,1.292935631038729,1.7038360768939322,1.6216505139682469,1.5752738616836575,1.4276127018266662,1.3779718509469046,1.5031582762437607,1.3856913155814539,1.3589009757400914,1.3557443111290892,1.3426667283674154,1.3459101595000764,1.3264544375862686,1.3310809213614871,1.318606584317204,1.3237668768984223,1.5513842329305705,1.333380227950211,1.2995655598716682,1.3015069251992522,1.329153942107782,1.3051378019758448,1.338816956451042,1.3905345957586577,1.3840909316248424,1.2943988331657659,1.410383545150442,1.296726315600404,1.3176346097946956,1.2847530066751325,1.2696359331311515,1.5382394845022254,1.3874437728020577,1.936626700557916,1.3173671887540261,1.3817446908380477,1.4538896993005006,1.4464410800882714,1.2831625597664569,1.3334682779551235,1.3963768672083927,1.3472653672522839,1.3506288458455258,1.3650261776160422,1.4526706633956243,1.3651688219117797,1.384861142286437,1.5653837256491585,1.3575628681254852,1.364668476833002,1.3589074063573237,1.4229779094269879,1.4358468575231755,1.3962937938957716,1.5025135164889833,1.407634019599546,1.383971346328983,1.5631047406780156,1.4454923498217034,1.3683540273813548,1.4249085476808727,1.4617474533168984,1.3719775840554618,1.3795511215368321,1.4760014503867596,1.4692447292534805,1.3712529602352768,1.3782061200392497,1.3421084372106833,1.3331529491070964,1.335123247534929,1.321329545406598,1.2916534092906806,1.2829894202114178,1.3359650905724525,1.2792319862316657,1.2787444568980373,1.304212234586042,1.270982098613375,1.3830024730176511,1.336832260024868,1.333554829693654,1.339340519565644,1.30989421659886,1.2983285740870765,1.335186411985877,1.2691365964756967,1.3871132310353242,1.4862899712912525,1.215555504909946,1.3132400558135557,1.2430427061158125,1.2811934864246914,1.4421788861363884,1.412693334430686,1.555417440936884,1.621204619885919,1.709984701526939,1.3573665822338825,1.2189761007292046,1.2976499628546365,1.6978321419905205,1.5216738337191091,2.3589527801452586,1.642621892128925,1.4529429560799854,2.0131795936685664,2.01883651348505,1.7906656853832075,2.310597983103045,2.858085842206369,4.057889206341972,4.566691705516152,5.542358038376846],[0.7766531161498901,0.6575996013785417,0.6736059211466152,0.6609247216868749,0.560103451768474,0.4742129744570528,0.36130120367134577,0.5585090476463063,0.3770925265803937,0.3595137739781426,0.44669336657617714,0.5914790689704456,0.4799373424789717,0.42250083031720576,0.7219398857730444,0.6551119625795752,0.5175564298739317,0.5965094605560425,0.5927838945510323,0.5999173807673462,0.6082971858531455,0.6059347584053463,0.6427367212505698,0.6805544677331883,0.6475575322704488,0.599626568968833,0.5553320619907618,0.5382770777991313,0.5667863689048889,0.6262385786639341,0.7226606851560943,0.7550730140285106,0.8008150080842549,0.7819992217386209,0.730239185918588,0.6488159219122502,0.6960808077241791,0.6190938450576988,0.5749540944630749,0.6122706252665862,0.5364162403630455,0.5759073883801112,0.5810003367355406,0.6780008656832657,0.9232013041232099,1.4063428027966862,1.3058547836114138,0.7403441893610185,0.902272828093622,0.765629574866786,0.7782400364252602,0.781205482254451,0.789097907703451,0.6794920602515141,1.2351390157823978,0.7269093074382252,0.7279322758045561,0.7899205249089137,1.0436065996422437,0.8841590376522459,0.7402405162135453,0.8899579686595833,0.8194815518320167,0.8811902481709217,0.7097191226593692,0.7049269084482567,0.7860787403092705,0.6909904636133848,0.8207213618467234,0.7907626052418715,1.0114943668219587,1.3088179596391953,0.9755729422807871,0.9425650013494411,0.8369345486058336,1.4659095731982135,0.7322684662521585,0.7440247557974681,0.731391004583092,0.7229319225893234,0.7793842148007009,0.8177303877691481,1.181466222247706,0.9109860777344916,0.6605984387778394,0.6749195516994106,0.6342431932427564,0.84225249010994,0.6655779978619518,0.8272544996963701,0.7470197755455813,0.9260490589601704,0.8323899639869504,0.8252750680292404,0.7736766082611307,0.8859261320966838,0.872410058292063,0.7753151391618556,0.7675922412108248,1.0032505580169393,0.8016956160466786,1.0015541731922557,0.7989616844158194,0.8685871397910333,0.8603890934557644,0.818530075079848,1.154796309911732,0.7765790909099419,0.7749172745190207,0.9046904132784873,0.6600626906629261,0.5758582419762246,0.4628248507039431,0.47228188414688743,0.39971674622264497,0.3780132041868234,0.4916751671654329,0.42105155289071156,0.5348353662398728,0.6090174316482927,0.4699360600850893,0.4070639936982249,0.35657715447381233,0.3197450686979779,0.32690785235053943,0.392878850916579,0.46482285147056596,0.5299499553934481,0.5707024825455876,0.6712186080360567,0.6549632815027634,0.7470677427970822,0.6487468165756365,0.7424800056850549,0.6398332991172101,0.62201239623365,0.7483587354999958,0.4519866799781999,0.4116038464375231,0.41938826566476867,0.6176452615328362,0.4934095611379523,0.4490040975697534,0.4160354891215964,0.459581345200932,0.5063102682872955,0.44317438818139604,0.5477465658681746,0.5488820057222331,0.5617738589539182,0.738672661632664,0.7554240553094564,1.1871227184544468,1.9005405147285297,1.0633088644431694,0.9331324698775652,0.7265835422781609,0.8324500707447429,0.6749854303991762,0.7649096195901964,0.5477898470369793,0.5928964253350725,0.4516625664234187,0.49116167581061254,0.6489875706113836,0.546903073688969,0.5804678627711831,0.7025418146402882,0.7981373229871238,0.7788367052726033,0.5763556294919199,0.47894664516779195,0.5373373839001508,0.5756563330600377,0.6132647502592246,0.7509786372391423,0.7158249585073241,1.0021881165960516,0.7484746912163563,0.8764857020733767,0.6322696605608674,0.6840267826622418,0.7037186008410291,0.6733142172204842,0.6238152942090706,0.5938972386320092,0.5552346133109776,0.8318366237493517,1.0844706931462438,0.7831555366230036,0.8238175715734449,0.8660304228853135,0.813464734055363,0.7698775163850273,0.6706930482948792,0.692744479341851,0.8307224409991472,0.7425597263007461,0.7382387039442828,0.8492941456793193,0.9702137905597723,1.088499923988344,0.9040235241273297,0.9310543965001938,1.1018918901742354,1.0939950408780068,1.0768190003058986,1.1183806688584816,1.278054091988737,1.1741436088803883,1.2528333859794418,1.3631840160188156,1.4005988747919005,1.4238705792418884,1.4949204065170802,1.269615747435735,1.5255512487253746,1.2106041945316703,1.248622320655301,1.3163977814601882,1.274978682836076,1.8262106934956173,1.41636617203805,1.9086603287567685,1.301230685857868,1.3749889570636686,1.356606304494527,1.351858343716274,1.2195193265413704,1.1340166032733916,1.1659080172645757,1.0738287156848263,1.0828538962754808,0.9718099597756895,1.0374494623781787,0.9537826342428833,0.8979118499127318,0.9964551862814583,0.8527927849963038,0.9629719579216117,1.0454430163586934,1.2453773884247505,1.3611912247177267,1.4843511921688581,1.5489929544814924,1.3230348483580991,1.4136426623774518,1.6955159348082425,1.4740116188615233,1.3612704959603743,1.5631801082474797,1.6199189875170954,1.4351570899907438,1.5352285844356899,1.6968843098852837,1.6525830881867996,1.5259880674860506,1.5746507222607682,1.4617770682135776,1.4457282203170772,1.3630513758250924,1.3398135336648709,1.3601791401401713,1.2357369645165537,1.2395351763166444,1.22696142607266,1.2264549237658773,1.0839716205436647,1.1206611618261526,1.2633586293305534,1.0903032317177341,0.9789748862052148,1.1061920872961366,1.1462150882062418,1.0693757720064918,1.0637425593828616,1.1779704868497998,1.2907537310884247,1.4035610845834046,1.1690176739278397,1.0537795546721704,1.0581479614592433,1.2181391062179556,1.1166989411428776,1.150529949533539,1.0648345698324644,0.9878328890816728,1.0661529818268842,0.704563117278389,0.580588809202555,0.8486756402644746,1.2709980802380896,1.289243459875627,2.2387034049661394,1.3121393773784675,1.3285501638474762,1.9715691149522994,1.800057638728775,1.6220716712705066,2.1779032394119313,2.787391341515356,3.8544621193378985,4.591960758401812,5.61097408198516],[0.7835711305801162,0.6494315457051218,0.5816922027121999,0.5673804609750577,0.4499467575015675,0.5278349620719005,0.33615878786815984,0.40962337454422243,0.3617860489894707,0.3955795827098976,0.4634123520260848,0.5124277285402855,0.4524252549206515,0.4582624824141024,0.6963606058810694,0.6114974107487663,0.5435217224360807,0.6051374855026733,0.640289835203475,0.6069106508193644,0.6475764063318584,0.621711224203338,0.6780631108686577,0.745184980160821,0.6784029280054772,0.6561684270031816,0.5525068854405928,0.5406510666173406,0.5682495055486446,0.5761290194200628,0.6713699201294073,0.6429111764454395,0.6631264690884182,0.6631107113210841,0.6104366983907922,0.5889252401657508,0.5836838044548541,0.5658932610825564,0.5113774779411255,0.5172317494398984,0.5033786916464859,0.6345848756676498,0.574945514272551,0.737740262662172,1.04634179660502,1.4795266729399614,1.4125886380785309,0.8407059559992734,0.9655228577860074,0.8479935331314651,0.8055231689845248,0.7374533641446136,0.7696148546342643,0.6011296571501957,1.1248355140273212,0.6323201972257586,0.6236695447548406,0.7410144508886524,0.970584818925269,0.8250035050106164,0.7525698245137243,0.8225188367049454,0.77340098269329,0.866488315055846,0.7034190158250847,0.678755496759961,0.8392517834517873,0.7170190777998134,0.8564923521282446,0.8042598355593006,1.0417916701383345,1.314699803773842,0.9552897768583039,0.9324323389371169,0.8057772068138568,1.5363463442877772,0.6894517477863993,0.6789528262860239,0.6578083501721508,0.6653218581987025,0.654458246995009,0.6541153784799352,1.0006395194774906,0.7200936184212201,0.5584106551330565,0.5549628232809035,0.5617230288083682,0.692979889909805,0.6042741159586026,0.7137569963695126,0.6892132889360958,0.8765432842765665,0.7593324558014672,0.7122373407651574,0.692122163867771,0.7845597978393044,0.7849209513852198,0.6496095976490041,0.62463084911776,0.8251838206934596,0.612808912139827,0.7616419159045243,0.5833157715474958,0.6214918089628132,0.6029059911322876,0.5682472839399749,0.8920923890446586,0.5177276960407851,0.5432661164212339,0.7579396536580674,0.45672978044222007,0.40914524195916613,0.3676403211855518,0.42991030555547327,0.4092918950928201,0.43509554356148605,0.5045128850628575,0.514806662096133,0.5856396605855425,0.6279299783003129,0.5251219470070699,0.4709988872410987,0.47123579279478295,0.4351180599352841,0.4009511554322619,0.4009404387259252,0.3834234277625312,0.39057517874505243,0.39242273663712507,0.4757725722112421,0.46974922555996396,0.5330814829871915,0.44471549148704426,0.5510761586799025,0.466418452525222,0.4774443616240515,0.6939892859950043,0.43227062308795744,0.44430345222900075,0.47633061453730574,0.7326068523548404,0.5905379980171138,0.5155477940779108,0.44830369608350096,0.44330498705278826,0.4486703643932053,0.4137458569336782,0.466123891573876,0.43625587515121095,0.45737712670074226,0.5237475865683363,0.583915743802005,0.9627901004543329,1.8990299947253202,0.9740511731974996,0.712051613989485,0.5739031369708786,0.6193704381045414,0.5176785269857449,0.5636284659909278,0.4474340714627672,0.46914471170944705,0.423815876742097,0.43102485326676326,0.5064940530925306,0.5391987024257227,0.5036614866480564,0.6995617252017425,0.7328455929334616,0.7657010956760743,0.5249149417273892,0.4391495666794048,0.43168493958632165,0.4372322637873277,0.4606766284747587,0.5554239905745071,0.5677369635434631,0.8150970999964149,0.5733951953768587,0.6511622889513291,0.46203210750650486,0.4805600559832985,0.4871838268531608,0.4688574376556675,0.47710332249992937,0.5507184315994339,0.5521254496749834,0.8517542100703198,1.1413461792933697,0.8437334233804366,0.8167080208750067,0.811600257018929,0.6674404993018916,0.6137595486782031,0.48104174658125154,0.5042182776256521,0.7120096654369612,0.5421383189715188,0.572506754843132,0.6846875877877456,0.7602373085998767,0.8820856710388758,0.7255029115700211,0.7708574746858362,0.9136837691535505,0.9249729346997889,0.9573540365485296,0.9759605820383244,1.1043772737427264,1.0658767244459013,1.1502738089873081,1.233644650835797,1.295728897012416,1.3399025662239328,1.3967636328882738,1.1612503165794361,1.4234818085770855,1.0811652443062536,1.118829545781058,1.1675581520046443,1.1060676286578368,1.692079662347932,1.2165867275109998,1.6780954374528252,1.072545566776099,1.1305592381405793,1.1238292926659232,1.1064844422330393,0.9778788654825956,0.9070568524375291,0.9565926463456516,0.8684013611888639,0.8839866652006367,0.7830170201738488,0.9147915775088955,0.7658335245030775,0.7558225500266289,0.8429990092503107,0.6767808057504243,0.7690136426527743,0.8419196115448367,1.072860429046663,1.195724883151776,1.3049907909145981,1.367000082906787,1.1300406450463492,1.1751912897321775,1.476194756957082,1.2975908267576075,1.1372658428599909,1.322937045400227,1.3875952706537775,1.2314791619024763,1.3127949426781398,1.4760985212640607,1.4780151839216287,1.3532553762044848,1.3827242288775687,1.2759800080126054,1.225078671481694,1.134724014179046,1.110526486687436,1.142506660779199,1.0527532436166593,1.0300915809371567,1.0317116515321618,1.0549814202176928,0.913879170514707,0.9329508981548452,1.1068353246214313,0.9455876252355946,0.8473699388838751,0.9368841406367737,1.0713904536578795,0.9746904881021636,0.9775636359337241,1.0940801597160044,1.2150256235443795,1.2674732517839329,1.0622136495963719,0.9343064806277128,0.9515599929794148,1.1065325715179624,1.0228021429886949,1.0925996346395157,1.0192118466582252,0.8694625145670094,0.9274718352130066,0.5456658173868926,0.4682291732510444,0.7589330489708823,1.1180021297463625,1.0670013244750998,1.9265544930666907,1.1256166433946293,1.1435967440249795,1.7110553195822087,1.6618436219399444,1.627678312212927,2.038350356466256,2.5852694580098565,3.7198644386833926,4.464980575377231,5.717303668707362],[0.8111916432191736,0.6559102278578384,0.586259474971778,0.612598331027055,0.4634010737272315,0.5030456365730165,0.3142512492982595,0.3999703983849246,0.3225639246801848,0.344184828379261,0.43202032074263536,0.5134476919968778,0.42581726582402113,0.4137249985528873,0.6562863938811312,0.5716029380308929,0.47443005988218323,0.5346595290687405,0.5464328052111106,0.5351073137503809,0.5548657286713736,0.5548907320474749,0.6240161296079334,0.6549099038145061,0.6070240798560734,0.5665444443451257,0.5130186644664273,0.5058327019192425,0.5023949465409986,0.538289628362665,0.6302516246839173,0.6256419289863312,0.6274671740807353,0.6291363532252534,0.5853547506058403,0.5501530909109753,0.5548029631141376,0.5285892218578946,0.4832850215763533,0.4942687089102768,0.4734382382104949,0.5443277326259384,0.5172665176755479,0.6670980479550953,0.9344293143304148,1.4030966338778208,1.2999722393844237,0.7376062334309751,0.8956783508183233,0.7593884543084222,0.7423469432825348,0.6865825589589762,0.7305281665907588,0.5704093228806614,1.1187474428629214,0.6276944344233703,0.6355653459723116,0.709166056003099,0.959241121794633,0.8284071640020136,0.6943847844763921,0.8056242861444802,0.7265966592492611,0.8010889918342955,0.6329835952638363,0.6420289317813506,0.7342366605486872,0.624343137593141,0.7653872816427357,0.7287994732932459,0.9653362069641854,1.2374692779641532,0.8752752981460641,0.847374661170095,0.7510857532415804,1.391149212904959,0.6360430484285033,0.6258644702253572,0.6061434573328381,0.6181026797125205,0.6295767506428174,0.6593935422942646,1.0189981056283426,0.7460491364522737,0.5336060822654282,0.547418185221295,0.5214991217213254,0.6803405045917151,0.5613280624025029,0.6883314390579677,0.6321837025779149,0.816927785422842,0.7038488285820801,0.6719387308834589,0.6500908132716227,0.7474147849444079,0.7732798579636179,0.6306293659330273,0.616765170165623,0.8122811134095471,0.6101794348869116,0.7661950688820888,0.5807378721651804,0.62567274926509,0.6175209172677617,0.5954052272303854,0.9037588118488589,0.5397796883466202,0.5681388891016108,0.746270525362605,0.4839151006375716,0.41313414143081306,0.3563143316260689,0.40928914828342966,0.3789419433656551,0.38671893905802596,0.48081944088388984,0.39594774488273676,0.5413328213609451,0.600454397582353,0.4854590010056793,0.4090633334647045,0.37216881641182903,0.34244739232613547,0.33940944459689265,0.3538725347606066,0.3992106559822967,0.4083603688008476,0.4143759715185845,0.5092627408621558,0.48942452663695457,0.5607150502995223,0.46435202186089186,0.5808682430884317,0.49398433260333835,0.4819039751022794,0.6699966208931205,0.3872365981881195,0.38271257549890975,0.4000789399262734,0.5910287747619304,0.4616924343010269,0.44744499983514613,0.40352241098038144,0.4133665622471216,0.42886162339361994,0.3842623924985484,0.4486184121451075,0.43153815906460774,0.45226973114080804,0.5316219933669962,0.5795027867456896,0.9347115375938766,1.7910931176347273,0.9421076307108882,0.7039653826763212,0.5665314277502271,0.6203310688507082,0.5198401028353774,0.5839119029008712,0.4445123432437065,0.47820328916297333,0.3888510854326718,0.40451313373853187,0.5406451004786258,0.49487401491247396,0.492321729944762,0.6203064433961648,0.6915239308149624,0.7000675961163169,0.49218797656352203,0.40356651697617174,0.4380714385263531,0.453600002575556,0.46706958361684275,0.5653368533218713,0.5542468322906958,0.8238922562794234,0.5811479947039007,0.6711625099035993,0.47486921064576465,0.5015870139727495,0.5115734825230076,0.4915148371534453,0.4977141959493614,0.536401259013215,0.5118308798570224,0.8036389443523055,1.1001358824821226,0.7938434409243368,0.8028241042237384,0.812129536526908,0.680212795617952,0.6131456721178689,0.48708506624768483,0.5113790983509403,0.7125679355851541,0.5468114588946595,0.5703398721842798,0.6810356603059114,0.7449893393154156,0.8638947625422935,0.7149486313810868,0.7536725895617192,0.8859645253090114,0.8970588661824472,0.9305235666708844,0.9359108595486209,1.0461715399298446,1.0330484480999809,1.1107758321656072,1.1705272996036504,1.2381423832955933,1.3194219825923825,1.3385719036643084,1.1185539954316686,1.3803570733626824,1.0349109388015252,1.065126521489822,1.11220188960755,1.048693549995352,1.7128319150374716,1.1486664569560454,1.6074472503495638,1.029397499896412,1.0889222823527027,1.091670131555274,1.0885646768939874,0.9352436122134343,0.8728960026964222,0.9551331380670063,0.8670341211596594,0.8560234498273961,0.7718716375766773,0.9450000456644424,0.7216251968939719,0.7217058490910039,0.8330226829243943,0.6646140115597091,0.7663641631752561,0.8477930731099694,1.0685960975476783,1.1882112972017476,1.2910771706339506,1.354498496393506,1.1140249135108984,1.1307868002928076,1.430213801678092,1.2693096367186598,1.0847912127033912,1.2482118990102362,1.3097580037200836,1.1567745218570513,1.2208491549624139,1.368119133327571,1.380573495558367,1.261188334082199,1.2817203855440034,1.1927255680606508,1.1434979261473923,1.0723866198448186,1.056150811492112,1.0684992707775027,1.0050185334884973,0.988060588028748,0.9844572041482456,1.0098715562526523,0.8785528584126714,0.9027593276972828,1.0328729913845112,0.8986593655544183,0.804165524374605,0.9003369448914441,1.0284858534103754,0.9353755297922051,0.9554379833808369,1.0610771662496372,1.1977338756309275,1.2095164466743036,1.0467546429629893,0.9040010746210685,0.9440666395972972,1.1270489895577618,1.0031674404414312,1.0519780389991942,1.0065264683345936,0.8480590605887699,0.9564467695742298,0.5488805796031463,0.47033645687351394,0.7552923958094555,1.083488019897424,1.0312326515250636,1.8662590626207893,1.075043436403439,1.0851396642873132,1.5897588797047177,1.5887740439165905,1.5794804383850205,1.868411802840114,2.4179798835656237,3.5562853516251587,4.30868794379192,5.680136484583066],[0.8474659585560801,0.7279401294064474,0.6325021972061514,0.673953913487836,0.4691906301263758,0.5545463007345084,0.3243447733685258,0.36946621608386293,0.2594992184317898,0.28116505283978316,0.37573296429130315,0.4422308301391103,0.3431717472187036,0.3659139363523193,0.584415765875598,0.49073887617686146,0.39982076168381353,0.45773354607572536,0.47477153796973304,0.47412600513800385,0.4939675123750545,0.4941575590089917,0.5749050816066344,0.597506178756166,0.5644461747170273,0.509509298495825,0.43537811693692274,0.42689219844798876,0.42753265299523124,0.4556105701742118,0.540137654265378,0.5399521261054561,0.5354889661199993,0.5287996729804684,0.49226949936378966,0.46119718419336475,0.47448277400400624,0.4510678276858232,0.4034302054336983,0.4164535084208038,0.380758144095013,0.47535264494584095,0.44894620744111885,0.617425193913563,0.9281709643180593,1.4020617748898176,1.3180292696497942,0.7046667306630192,0.8545009529039193,0.750282391885502,0.7229528757375593,0.6461193456370907,0.6449205806163584,0.48610942652886174,1.0524948413919186,0.5389505577375874,0.5866978377173515,0.6422629824653548,0.8609499949368263,0.7625716729773725,0.658849174957845,0.7538302160446858,0.6523928743677823,0.7124447393973223,0.5565447840848763,0.5744263842784786,0.6859016072869341,0.5538506226471099,0.7196739601441358,0.6723584044418899,0.9269078159930645,1.163049025238822,0.8186523284415304,0.7934346534823715,0.6886172881737,1.3696026923361264,0.5609488507308097,0.5321315248363785,0.5200622939997447,0.5269421274344471,0.5483730508894166,0.6011452438950561,0.9641261739303788,0.6343424453844325,0.4839311701627325,0.4844975545619241,0.45391799045093784,0.5971672904988344,0.4737705557622368,0.5945588122855833,0.5283532763439948,0.7279508441290895,0.6021551193394884,0.557911148561078,0.5430657053100841,0.6349359612544352,0.6420256136061165,0.5271568793516583,0.5328658596974793,0.7120499596025696,0.5228402394643555,0.7053913368343043,0.4884033943449307,0.5626152235697272,0.5454646024362986,0.5548825859138787,0.8369713719793512,0.48438911292976095,0.5163310550517225,0.772703705238784,0.46956744898531094,0.3891445206622292,0.3271883403653803,0.36015839073224004,0.3171991491936159,0.32912282299800694,0.4151622121030427,0.35592785413055067,0.4624475400199224,0.5357044193400816,0.42311508504870393,0.353094068384853,0.3247939075362321,0.29875337392499823,0.29999468178625394,0.33789622244360396,0.4088082030017198,0.3929610271654889,0.4049787958529157,0.4837028997185241,0.4898867547904952,0.5564977590452236,0.4419881049158258,0.5459468686740064,0.44690100111814596,0.4467503064913325,0.6575256938228021,0.3631131359390893,0.3649479174681499,0.369188557077009,0.5904250440495793,0.4439892954956805,0.3933633759252501,0.343257308170627,0.33355039584714735,0.35997810902054356,0.31091282272110815,0.39275767552924024,0.37012333359383187,0.4160586976395265,0.49162664971699277,0.5588334337407105,0.8208539236683043,1.5653151686249116,0.9044050956862201,0.6045248446981926,0.4878799779127672,0.5420064681054352,0.4354358984220092,0.5188226013934273,0.39008896054055925,0.40373298433758387,0.31787581548843596,0.3367447436279778,0.48191601194149036,0.47595022348223637,0.45964622912135006,0.624663373509027,0.6746477262174637,0.6951326778586051,0.47223819478156165,0.3647954924592129,0.3921169654274603,0.3910105574648652,0.3906410248359967,0.49898942115492306,0.4956749270385417,0.7364072543445872,0.5021719060085761,0.5668967047321467,0.40329047391571216,0.4337081124411246,0.445559475188889,0.4317595165418955,0.4540959726058394,0.5214874945206218,0.4972683074283328,0.7981360674170563,1.0790107050400504,0.8250258374049537,0.8013011824742521,0.8117105956907137,0.6468464021772155,0.5909116495754809,0.4757968067622543,0.48742682912935664,0.692451290132909,0.5323775050663349,0.5702567057508702,0.7110735799896594,0.7210660828323538,0.8400848809312721,0.7189467844710662,0.7327698351224412,0.8474059308542625,0.8751883834451017,0.8963113582368347,0.8945479450726099,0.9858532072779008,0.9837759688287615,1.0384646724667836,1.076499230112854,1.1581590102860966,1.2279010031722672,1.2351747870586272,1.0223827077277643,1.2682723529728344,0.9490751289405939,0.9900025526951532,1.0090368990514669,0.9426717234936735,1.5910328817494837,1.0398211822789492,1.4714716712960947,0.9389321484903652,1.0006242938461711,1.0431242524352227,1.0237443195504776,0.8670928724495923,0.8171893318979073,0.9248102488651931,0.8558819255600479,0.8174768204186232,0.7438473199259117,0.9323210697075036,0.6955369117275038,0.7221460764487955,0.8031035828067161,0.6417371276005223,0.7422400302945706,0.8322497847809028,1.0676361622943524,1.171466431798208,1.2257439210265377,1.3044240658145807,1.0874039026146973,1.0644192944444741,1.3478773923779301,1.2061822048965731,1.0314494401451708,1.156354376795129,1.2190662468900886,1.09241431451086,1.1270552121534918,1.2563078237846155,1.2991902590093656,1.1565679629196923,1.1648094941611629,1.092011666410442,1.0404379485086275,0.9920238035914083,0.975796786627202,0.969317765052678,0.9361330152270555,0.9103704825416044,0.8999301733062458,0.9366745896387505,0.8244157032883066,0.8309215355608642,0.9761263781115197,0.8610010832833201,0.7781230236886854,0.8361359256141934,0.9858728160706397,0.905209101866091,0.9136377808081438,1.0427401258586235,1.163758519117388,1.1113843073355678,0.9866322747816,0.8415021975101561,0.8782036576425988,1.0712764210968186,0.9548881225530147,1.0158962854670817,0.9924747314788535,0.8104902579119614,0.9049054774976868,0.5554931402736266,0.5007819515072334,0.8281615621142042,1.0611163084681086,0.997016191810497,1.6811416923789468,1.036477243249712,1.0883610587835526,1.538283028068354,1.6713537127937315,1.7516342862720182,1.8989281033885408,2.389264550107467,3.5383940105929255,4.197277429108973,5.679186426258585],[0.9136772490589523,0.7486350869676017,0.6363476229523636,0.6818993469312288,0.49471892283606783,0.45674144828023067,0.2997429544509376,0.5715774131502948,0.47127892226966106,0.44216761055618387,0.5006523892140373,0.6342552657571776,0.558116892761011,0.5080427459429913,0.6585360848463953,0.6305395534239849,0.5278484035493466,0.5486827077281621,0.5161449323599705,0.5521524913495867,0.5558459128772507,0.5602486821812378,0.6153518868387099,0.6381301864484693,0.6460430859890463,0.566105406821734,0.5433096177644854,0.5273219794205527,0.5515469198552698,0.6104378008124574,0.6436331398823054,0.7306891391759016,0.6867230438519388,0.677748947805673,0.679121341956067,0.616240957900207,0.6615337527646888,0.6117304456180414,0.5814006360473286,0.5682883319014227,0.5297359077269977,0.5572438188701074,0.5224480494999765,0.7302327419149819,1.0122692681671999,1.4839025513899067,1.3901278014527378,0.8129844808258386,0.9554914583028055,0.8134810460317146,0.7644940958512952,0.8136028560958266,0.8013377572714464,0.6677581675628094,1.0845001129008356,0.679367975098885,0.6986021719061842,0.7873271374394021,0.9894186788765773,0.8711074325685343,0.7195075179738177,0.8693794231510514,0.7769858251479737,0.7779279294770369,0.6475217073934681,0.6856130084473088,0.7009135388588866,0.6063607660890203,0.6871429034886561,0.6579497156185713,0.8874018239928978,1.0642876083865254,0.7920247457428057,0.7530263470205926,0.73017327470656,1.261171304381167,0.6649832377222592,0.663083884738687,0.6985646676964418,0.6730659215304456,0.6898209215524816,0.7439239100097104,1.1241052666349007,0.7430716345642138,0.5986890528368671,0.6406490799873539,0.5993157542092495,0.7777640263642418,0.6410012652141319,0.753136438356675,0.6404654640352312,0.8055687905547735,0.6818247241439259,0.6701820107329125,0.6465002740735314,0.685114570615819,0.6979212254676573,0.6760661774527903,0.6926934388832865,0.8205892356161871,0.7247958149335606,0.9231468240743359,0.7106705597297269,0.739450447255078,0.7072030685962967,0.6870942863281954,0.9013375808778219,0.5988512439961969,0.6018991312999675,0.8024644386606086,0.5373499202385784,0.522087256698489,0.45791312710987137,0.4651999876204833,0.467345334004413,0.4062002492343129,0.5086706450003274,0.4180364030706876,0.4726591754320588,0.5993731356411139,0.4527074240319522,0.42274665765009434,0.3457494437132424,0.32223419644563195,0.3289895454266251,0.3610738518639995,0.4421330150930004,0.5095003426891203,0.4697867758994893,0.5873417129023492,0.5738621169474879,0.6106086188572979,0.5759706783969414,0.6216753258965256,0.6109185570374001,0.6476437490224817,0.6738343622676882,0.4378966267233334,0.4292157509157265,0.4300988056494772,0.5934229002271686,0.5048789061012002,0.47170764210021526,0.45724920813272685,0.4842702135561368,0.5454692719636667,0.4905285667661367,0.5732763318482197,0.5484390416894243,0.5856558456547653,0.7001325108904146,0.7327749529195297,0.8960614888666217,1.2941981283448554,0.9198129546719686,0.7616773793356656,0.7133859853458747,0.7549062965055624,0.6650441595205955,0.6975503587408156,0.5284655253527126,0.6078246515547621,0.46360282867082186,0.4939649961485338,0.6242208985145262,0.5472141486836617,0.5730459161515603,0.720267387162744,0.7840637814452852,0.7956193909251785,0.5676911354508016,0.5037006697650883,0.516044686348791,0.543573067979385,0.559491318108328,0.6704200636951245,0.6648541876405235,0.8841726949273016,0.6565189905057808,0.7687303619652387,0.5578976682314629,0.5855967305508002,0.5909921383367008,0.5864278138786245,0.5746911177504744,0.5364575255936405,0.5103576749908043,0.7225927215527344,1.1287506445838669,0.6812777396497068,0.793625338153252,0.9481528981546451,0.7974944776552543,0.7461892392606086,0.6201157557001572,0.5991478467674256,0.7656752651764227,0.62779741175582,0.6235309343402565,0.7354497002775087,0.7617440278188609,0.8724830134756971,0.7507579401845728,0.7483858211247852,0.8448063700882151,0.8702075015281059,0.9214694729448235,0.8759062740419434,0.933580625313696,0.942591174049103,1.0067059964491383,1.011536863392241,1.0779589148350712,1.2131111022999486,1.1967373289091536,1.0019256516742803,1.219811570315248,0.9424722670797782,0.964765384324833,0.9653961070640058,0.9015503603717767,1.5196189578025363,0.9933290762824354,1.4803421548684699,0.9055795890619948,0.9704935948004217,1.0381610063523048,1.006034848321096,0.8384214301983349,0.8212806470697416,0.9239272724720312,0.8529276387075903,0.8249679344018843,0.77090806002685,0.9372942978693117,0.7237150247916264,0.7400504362248748,0.8947408796185048,0.6844837048208474,0.7809746732943919,0.8452865930571636,1.0532730471636036,1.120679415546884,1.1374394737329436,1.2721179686983946,1.0580711681888018,1.0366772007446683,1.2959789694363735,1.1800372292101824,1.009310816574767,1.1002801058496248,1.1532948200958084,1.0375812512730105,1.048534757693054,1.1503538287474646,1.1949291474996289,1.0567403642552393,1.058845094346227,1.0162419304820662,0.9695532854035731,0.9485967562298905,0.9327693563564069,0.9092634092525969,0.894484138996949,0.8942359735540576,0.8694841060957526,0.9005841605705843,0.8155347759479302,0.817472191848954,0.9592294341691169,0.8574827916715221,0.7830589857886493,0.8440418610033311,0.9779554682370487,0.9088766210640687,0.9201415905927056,1.034890746250525,1.1849237358458369,1.1225315384406696,1.0301066996135406,0.8437989604048654,0.8996125549156662,1.1548269241667755,0.9933292117294374,1.0308954156889112,0.9945265254190446,0.8554462025672621,0.9678421725669969,0.5954730687287716,0.46172173827004875,0.7822229933111682,1.19695470963259,1.0836705719784225,1.8372106285147447,1.1654698523162412,1.0775842796952428,1.5899185193550476,1.8718677322450596,1.8109210778192064,1.929744911069201,2.3367251395886526,3.546750713080855,4.010401926700153,5.444153419827206],[0.733923807163166,0.5762277220800053,0.518055943134899,0.7218961007288858,0.38695036010442346,0.3286092194364328,0.17380814956591026,0.31037414610913217,0.27400202547087577,0.3054744000479287,0.3281306670008124,0.41061720059812284,0.36037539141467756,0.3392408504739917,0.4530845898464041,0.3913711700763566,0.37136559984304374,0.3910622324813173,0.40654602726104627,0.40398085258178074,0.40228746643874125,0.4410783248426744,0.5212813707350562,0.5328428372994737,0.52048730175245,0.43517059017477117,0.32383969150621933,0.3296510589095257,0.3745733399627902,0.3710803835071602,0.4250439979520983,0.47586005983461704,0.4339643138476906,0.4253554640057903,0.4087310727809486,0.3926773677634635,0.40930616210525017,0.3840719968500692,0.33751554554445146,0.3609658570684822,0.32839918253411726,0.44186110471327306,0.3982877842754075,0.651473043864962,1.0237149662325884,1.5113051807913227,1.444726995973799,0.7559093502233628,0.8848312899748157,0.8106066743685454,0.7107218131058783,0.6431074465052008,0.6266400849142278,0.44053757021051143,0.9681524149517575,0.4679412281797878,0.5125997981625016,0.6620470789681128,0.8262903605507363,0.7356576695071255,0.6160115003392674,0.653304272349799,0.5355918400023681,0.5814107184357805,0.4897718538137354,0.48739212950549393,0.6386861099265421,0.4739370861839553,0.5987226810436433,0.5766062537917696,0.7943248609720632,1.0032555693502203,0.7097192659004562,0.7144855370003248,0.5559655192488678,1.2149997661646637,0.46144407444253444,0.3991584374616324,0.4321462084361982,0.49023853283735125,0.48017154358239916,0.530415451358236,0.926750631796595,0.48159854674892144,0.45148534788106526,0.4508429452809529,0.4041358800066043,0.5323407179292436,0.40123927498769785,0.4973147564205454,0.40545103222873724,0.5788172365871412,0.46499880208518557,0.43589833213424445,0.43091875198400786,0.46736260509306177,0.5103300344365539,0.4375934079811484,0.4489829861981986,0.5999964815120225,0.4621299361221062,0.6651386821815967,0.4254340959160027,0.4744675347464912,0.4753722735800363,0.48589409866891947,0.7433792825236267,0.40360201901787207,0.4187141884101848,0.7018437337935418,0.34873497118855784,0.29555313205437356,0.24956571665298008,0.3214424385193933,0.31630420512127844,0.2878895786478842,0.37275797876730216,0.36696477249092496,0.34512322860637595,0.41705669931252426,0.34479941102498285,0.3236669119649892,0.2915885802460247,0.2509070591776953,0.23523220375582424,0.2707407451231445,0.3030877162552363,0.34329322406858964,0.2871391541019292,0.3906092800739912,0.4151643506481763,0.4401217359396639,0.38517473835579513,0.44371641635131587,0.41806749515482844,0.48263800301986365,0.6347831772703508,0.3278009904395834,0.3372796580405118,0.33801982557428173,0.5642676037617029,0.472193202737638,0.3716014456298483,0.3150722293353148,0.29789531299435995,0.34344875695669635,0.3041195508946985,0.3734548105508526,0.3091440609556633,0.3692159369865401,0.4694541817488622,0.4600069906995551,0.6550109278133909,1.0992884975774269,0.786781827577934,0.49726725999947724,0.42637406963346436,0.4540200028092132,0.37837594461098084,0.436799408524347,0.3343063524959281,0.36450941708648393,0.28232348684330555,0.29924775663810166,0.46249594233521824,0.47743161765177267,0.45190158560847316,0.6743418070523566,0.721342104326603,0.7422775806434895,0.46511111604770816,0.3535416007946499,0.34743368024297655,0.35787034192672224,0.33038457733536003,0.4192731376048764,0.4210664151348042,0.6331448554667194,0.4071184933281423,0.4921033868539692,0.3702992421006909,0.36300019930064603,0.38042967023481505,0.3956903839381929,0.4262337341205794,0.5132683850699673,0.4940802423374766,0.7542661829534163,1.1200034467777982,0.7922866245981794,0.8019443168300205,0.8286353996889182,0.6723483713518651,0.6337145752671968,0.46442653795150274,0.44182097087519623,0.6129698711036061,0.4692642512970004,0.4875956258488792,0.6424919668545414,0.5779346363803499,0.6840286058142123,0.5916734720658291,0.5811326796443329,0.6582990548134795,0.7051212458870975,0.7817096962387474,0.7091176004802938,0.7563262702982874,0.7718122106831656,0.8268661172703362,0.8271478259234134,0.9176846374668672,1.016845612764472,1.0006050072393422,0.8108326522735101,1.0418310145196565,0.7377435758857318,0.7560127300337763,0.7547385627662386,0.6892153747216454,1.2607660868494102,0.8081988282496787,1.3129958230496335,0.7381677327886144,0.7766469785176078,0.8417676127859296,0.8077399823446764,0.649178497000818,0.6262175809447663,0.7292187491195057,0.6872649961440341,0.687340629036134,0.6113836168904996,0.8376954755014655,0.6103697627217224,0.6428461774335401,0.7489177974012909,0.53453923377681,0.6304315556037206,0.6699031264467343,0.86511143877298,0.9468552440159352,0.9424798544394415,1.0828884741850389,0.8736202049597,0.821651535720578,1.0684038893563201,0.9767427233995839,0.8336699108425573,0.9169949774810398,0.9791693042232702,0.878438231885146,0.8765996374298156,0.9857763253869163,1.081832155765836,0.8941714852358831,0.885195529299726,0.8352988024487258,0.777982599163294,0.7660091431315529,0.7452585442062173,0.7167412240373813,0.708747704647555,0.692639945095358,0.6655174630427154,0.6909144453874375,0.6367108901559381,0.6332379884438184,0.7963497993662575,0.6979356647974418,0.6533016252145878,0.675148874430081,0.8462841753247546,0.7508231269371548,0.7516367429826936,0.9381013925900029,1.0893307395665301,0.9601801422885957,0.8150512722246733,0.6555392969872629,0.6381115420138556,0.9338552584356605,0.8245071262522955,0.9195335876248221,0.9631278685244463,0.7793786051088131,0.8600373064774552,0.48194998705812225,0.36441347001814395,0.7203665187632231,1.007356570021144,0.88102670087623,1.4833021267265953,1.000749303699537,0.9840636014365529,1.4697202697974658,1.923922978086332,2.031089037141367,2.029015429921084,2.3228340979892503,3.5358902876385607,3.896876706557383,5.325208138182892],[0.6519059641208849,0.5383592442737299,0.6346710695246001,0.6664522553118226,0.3165843392020714,0.2733689153679895,0.15315380867534134,0.22347195302923498,0.2930396424597166,0.28058044739957844,0.27336708036163015,0.3487683124371699,0.30288151947444253,0.33134472677209037,0.37466940229288176,0.32705144043215517,0.35914288238969183,0.37499462451648446,0.43533986014226417,0.3950723018109737,0.39347975992922973,0.4314192149708037,0.5170387137810596,0.5489650435956132,0.5205770388609469,0.4344675399432259,0.3129015443057114,0.3145589743868554,0.35779248766259136,0.33119089286036013,0.37260257703777305,0.3819794433223718,0.3207197892898965,0.32675166610391176,0.32013774392115113,0.3511726055705495,0.34988983473757634,0.36071029189598003,0.3050757186912336,0.3427140036521264,0.33041293814357875,0.44510339810424837,0.42948752541620283,0.6834886636891933,1.0989704968932876,1.5656352554863158,1.5407947522739909,0.8225619025973571,0.9169206549212672,0.8924439654613192,0.7679521827590617,0.6733409881725043,0.6296381174357786,0.43521770406161986,0.9225381539421217,0.46016033885138946,0.5192497972333424,0.6873092528456471,0.7868145463766484,0.7489777161052944,0.6417845120151396,0.6126854623702952,0.4692254368765352,0.5409001657675321,0.501202282268738,0.4484556502630987,0.6350437166834814,0.4641121949561694,0.6170111604549795,0.5821339581813206,0.785366236564278,0.9787709780389182,0.6826350020952691,0.7567084582043672,0.48630834231131365,1.160168976907505,0.4105794047321957,0.3615029219016577,0.35842729371421345,0.4446042521631732,0.4350482770270708,0.5129533971211656,0.8402739842671297,0.42726288080988284,0.4729190387871264,0.4225111339143281,0.38549782107292385,0.45936237094896165,0.34829750521083497,0.43961018935039237,0.3566364520189155,0.5304291360471572,0.43311193021292704,0.3307534150689688,0.33763009924431414,0.38912435269720685,0.48289495970360535,0.33873742715862115,0.3342417889324557,0.49230966091955863,0.3536906844745948,0.5636447709825038,0.3547034214684093,0.36388953791006773,0.4070563592860565,0.4331767136184272,0.6583733362010079,0.38478751710371756,0.376041202383864,0.69218835624029,0.31798422577459406,0.27774235000485314,0.23656938811579747,0.31555784915075075,0.28863738567298125,0.2878507278804333,0.37830026589674687,0.4150389919687736,0.3735319224145435,0.39445394529851596,0.3543663655407589,0.3469723244412483,0.30287375820442863,0.26318040513800084,0.24162565569147912,0.2887239331225209,0.2918556669244693,0.3102083510424867,0.26663082647975805,0.3558074602163436,0.3739573328045283,0.3772139602912303,0.351436756751497,0.4117464076120399,0.3796996788845123,0.4588181811461483,0.6399553672706529,0.31977148766923,0.33027889039963026,0.35316856306801925,0.5997833286369307,0.5201725878144743,0.37339630050775696,0.3100636603984779,0.28348081151701554,0.31557387294242273,0.2861854750276873,0.3164691146820651,0.2638237586279791,0.3104786328709774,0.4179800861189489,0.37262522181556484,0.5271352205556209,0.962426892559553,0.7363458329230915,0.39060769845525084,0.31939434198869515,0.32863057282100877,0.3016177210110809,0.3377919601705612,0.3366345990781607,0.3042213643211308,0.2856072911863956,0.30074465483132223,0.4077353607290704,0.49372638203283886,0.4566781318415981,0.7158289663235496,0.7210491987208887,0.740659795902448,0.4702485756923034,0.3477596978645599,0.3342339037287802,0.34209771975137154,0.29827181059138425,0.3461111239015081,0.35974258257332126,0.515128330089563,0.35184591793310704,0.382010136593606,0.366979084927056,0.3276778163176781,0.3570481758758867,0.3757307299697721,0.4152112416749431,0.5803975437074536,0.578255372808473,0.8030157029180814,1.169310204976204,0.8796460367851354,0.8753318422880799,0.8572334739180575,0.681730223266332,0.6533384748921225,0.46230283836933217,0.4329695128001066,0.590670250734726,0.4389079066126294,0.45987676657897403,0.6329990061303461,0.5088619801381602,0.5963171060237143,0.5394631748242129,0.540171251180306,0.5948688536289077,0.6494857012840124,0.7673661217184037,0.6807833283216442,0.6970225582297586,0.7518734207052364,0.8143095723433895,0.8027693137643825,0.8935655558613077,0.9985401290702085,1.0079100916454387,0.8403121235185624,1.0162532791944971,0.7226496253754151,0.7303869920646239,0.7293648839787613,0.652337570558707,1.1558278969562643,0.7746676920062486,1.2138337541238373,0.6899864429817241,0.6916578559063599,0.7351312084157987,0.7025817027779798,0.5962727620361084,0.5643144466269928,0.6358749191020995,0.6557402992002729,0.6656628312063152,0.5594236339742773,0.8092381485276835,0.6253425262881362,0.6494180266093095,0.7133991422119568,0.5029747931554758,0.5972815118193953,0.6144699938536916,0.776252420644009,0.8677373673900279,0.8520053026672509,0.9817179814204658,0.7748434124548527,0.7040473572258197,0.9224989089011332,0.8384731122814281,0.724767154799872,0.7937334864297677,0.8602654679641469,0.7926104392267226,0.7850033450132576,0.8913263006084314,1.0319096369351402,0.8357831801461715,0.812693503468908,0.7739718082911178,0.6841618691204229,0.6709573519986215,0.6571095503175537,0.6388780152771883,0.6563239116235362,0.6226787345121544,0.6129224662192919,0.6417514417550727,0.5902738277254085,0.6015426098355783,0.7812986770679815,0.6791559960166208,0.6471701972760409,0.6600155838392393,0.8287722776743212,0.7275002192711593,0.7292230391650872,1.014494662922048,1.136058541525011,0.9135916847543486,0.7715937301832209,0.6572006270480756,0.616446627687228,0.8643699088235947,0.7600229969398136,0.8783164236910878,0.9442018805065955,0.7458832569476779,0.7283252910735839,0.4573249453207267,0.35765832993277435,0.7951814944822008,0.8777133426839665,0.7598059462145362,1.169530540508597,0.9334305550922448,0.9367068048043852,1.308624791858031,1.8603298541923141,2.11590857910523,2.0214930325488654,2.224527858990161,3.3815302528889033,3.6988504038200802,5.156028644797295],[0.5963021289710395,0.5392592822923143,0.617084758612849,0.5648971789203329,0.33685404604782926,0.23959119533042506,0.23718047899745837,0.29270416107662656,0.3305915313509015,0.29148066275161244,0.3017931324787222,0.38373397733296066,0.3161201922811804,0.3230268770627309,0.3835515790925146,0.33094234891702784,0.34094827247228165,0.36305371630019967,0.4304549561809795,0.37058554080833206,0.37740183139150885,0.402532383984893,0.5085165900252937,0.5412918521600243,0.5112669723027411,0.4242086410326791,0.32149079323134294,0.32489578598022195,0.3447817529708698,0.31779259209098343,0.3681709201723544,0.3791943933974586,0.3411111505646286,0.3396534768498639,0.31766234370487,0.3327275589072816,0.32848639767916016,0.3530087154327683,0.3098440042558256,0.34561581767985206,0.3371030026251691,0.41493720858122934,0.4150198249099793,0.6841169322637032,1.1439979941042178,1.6070544916314264,1.6375842903251445,0.8471622869152232,0.9202685750669527,0.9487590246100869,0.8021706254039324,0.6701852840603423,0.6353665193531209,0.4445776023254195,0.9123847008982302,0.4606553826835336,0.5280944304055359,0.6902465495227502,0.7680839485699233,0.7912334161777449,0.6390170764684625,0.6034458016381536,0.46047869392321517,0.5387665576536169,0.5235378007792604,0.45680468977531785,0.6390633554067255,0.44806797723063396,0.6269315751263118,0.5803455497670551,0.7838768064060784,0.994767987063327,0.6745891625086748,0.7688599672588698,0.4892383407062612,1.1611478918679174,0.39182371478741046,0.35242816469615473,0.3579018005899903,0.42831261216692057,0.401240899879694,0.4846809028995737,0.8019970850782294,0.41672934061776107,0.4440451696169368,0.3723363349747835,0.35815387815838295,0.44872076285582807,0.3275388268356095,0.44355520896685596,0.35730146235185634,0.5525688475491958,0.4595862619735239,0.3487826466800558,0.3525308043165298,0.4216579125535305,0.5070227000313542,0.36535232861587885,0.35931304308315654,0.5424840154138446,0.3644253013164379,0.6001296573290446,0.34002638043348715,0.3922781625601448,0.4332419471947717,0.45144713170573975,0.6718657584516975,0.46130777358877684,0.42351068160869926,0.6721041398931792,0.37171005110613775,0.2790403335862725,0.24607435974820094,0.31402549875538605,0.27687394029979023,0.28409046542972965,0.3712022385803113,0.4525812721314413,0.41445162678212094,0.3879168262867007,0.35216886175821155,0.33020565963263887,0.32193143339637714,0.27396831396187393,0.2665679795053202,0.3348624675745538,0.27830395484724846,0.3359849102301303,0.3016686413090825,0.36202297552486834,0.4274744642740759,0.4478959008259005,0.40028385259147986,0.4037532791075826,0.3988417092326349,0.5117504194300231,0.6738967881748339,0.3488144486917348,0.34195508998026064,0.36421742162337933,0.5870909758311394,0.58842391193329,0.3678490096833021,0.3103317639315438,0.30472261818473556,0.31569270782384196,0.30263830450201945,0.32093531236575407,0.2578130080340503,0.31487769103683316,0.43923763787129017,0.4123771439878665,0.5748434550847613,0.9904897505388849,0.7523871771335716,0.4362545472312711,0.3548534268073917,0.38381644940788395,0.3116690599740162,0.3359985510597909,0.32033778852191525,0.30152170126469374,0.31176500107557936,0.30509407241146896,0.4651414000904629,0.5835648108918015,0.5121388155720249,0.8214001326798899,0.8141901935054049,0.8187845767625683,0.5146507906441865,0.381458065610022,0.36434254392772203,0.3623611036958642,0.30697583336979223,0.3567473863648295,0.3559634604059955,0.5015060540021294,0.3491241854906358,0.39306506952159426,0.3901450315124349,0.33988672249465257,0.38385286913988925,0.430409690577383,0.45987516505555065,0.5864172395457724,0.5881477544201642,0.7887181144419667,1.1726182204531799,0.9387280731313346,0.9364825464478495,0.8256371122225299,0.7170418833476838,0.7063734517255768,0.5195735954788958,0.509552460468899,0.5874049742247814,0.5100639270077768,0.5112737225852225,0.6834947155980878,0.5471914066613399,0.6136551781763938,0.5693417561521624,0.5857176460785453,0.6520362023513254,0.720700440087143,0.8417332591665002,0.7691474712938889,0.7904720880060706,0.8559459410746837,0.8939866246845015,0.9070163913518279,1.0079411425522555,1.046476228652724,1.102474990491616,0.9577753966989208,1.0879168561821324,0.8128008638849107,0.8334397134136105,0.8358509906818535,0.7604984536977748,1.1001986543327271,0.8869040360781539,1.3074903724751947,0.7486180212790375,0.7135575851863968,0.753203082953276,0.7023513850972999,0.6654291076179901,0.6215493605267581,0.6504530760611155,0.6961060656129879,0.7545464922189548,0.6318019289931996,0.7639209729349624,0.7613431643748091,0.7288676562432174,0.7714135608295102,0.5495540781678893,0.6016642971966175,0.5971307274332237,0.7446706378369701,0.7953810952476684,0.7896351468132006,0.8936183961760904,0.7399190284684701,0.7114984520908556,0.85711241979405,0.8249942828390845,0.7515875601406681,0.8368085715626276,0.909779062031367,0.860602324494958,0.8556400833758511,0.9577632166505838,1.0943443304830982,0.9378330335709577,0.910204266205782,0.8634982664438663,0.7678875685382135,0.7285774845720857,0.7121911397382952,0.726501919374226,0.7297238933967283,0.6832950901193409,0.700793525939141,0.7260084762532805,0.6629280902935136,0.6891216385648742,0.914224051112889,0.7739116692368734,0.7377074183556247,0.7696800937564033,0.955263798799644,0.83525369119089,0.806672153582008,1.0458046481191243,1.1400757193602722,1.0024047545181627,0.8131411731960358,0.7458882723002388,0.6987663708493195,0.8445089153391707,0.7971614497676609,0.9529231892603474,1.0052080475777678,0.8449345873778696,0.779857693616594,0.5255292432371379,0.3703189156727651,0.7811421405084441,0.892508406426274,0.7962626182045408,1.214214961090867,1.1487927363891595,1.085146406085971,1.4900256116754025,2.0673963716843597,2.322353545298112,2.411548738121059,2.4468144407655505,3.5711420169305232,3.680903275208876,4.871567928349584],[0.7642011589573285,0.7636139610985789,0.9102512318653306,0.5135860337034477,0.5582540259078772,0.29815183511279464,0.2399712082257767,0.2581659707217322,0.3190370128002581,0.25446409434875944,0.26782829859512625,0.3365796266393439,0.27352138923791225,0.30497100317123493,0.33995928661418445,0.30409471534851673,0.3448248204511684,0.3468350031762981,0.433358939250342,0.37417308252038406,0.394592791832499,0.41834941746992194,0.5590700650099101,0.5873811663362073,0.5332012798017013,0.43299616357363635,0.361859151594284,0.32367300584395275,0.34591474181814363,0.3187008744842385,0.3403310141251648,0.3445804884624886,0.3264265749738128,0.3194771491870799,0.2945262381187845,0.31012160468366406,0.31089615303242263,0.35037487822705127,0.3219687404742103,0.3663040242787056,0.3540614435567286,0.42984406936630953,0.4645284957839435,0.716840696166099,1.2246619187031096,1.6322794024494798,1.7588310667477116,0.9492953609505473,0.9464928513960353,1.0358638935896411,0.8401569843370948,0.7678237332079489,0.7125789927519977,0.5162740240598025,0.9198390051379738,0.4796564382511686,0.5362164008494252,0.7552624957708729,0.7062857813224738,0.8614283205888149,0.6624732442041529,0.5727358005315654,0.4438324815242093,0.5460291292812701,0.5663347610187976,0.4547399430257909,0.6426966565705214,0.42134094916942094,0.6148737699728923,0.5523165203717747,0.7435393167691561,0.9453995118392842,0.627841387228158,0.7915927060249357,0.4705542590829533,1.1694188280388962,0.38751549401738333,0.3412851688267504,0.3621531657160654,0.4247057832393129,0.37950401160644526,0.46755570568325633,0.7737761876206638,0.39815493474807134,0.5138397353459243,0.35308786663193864,0.35348251457481467,0.45353675631268425,0.3113351269003794,0.4155759462765261,0.35611182473670705,0.5840695951808098,0.4838111744093541,0.3427737526192337,0.3479563003552466,0.44719853759697403,0.5813018013673095,0.36412392834099366,0.33244208843255146,0.48406452746560635,0.3348918170513303,0.5325399301949691,0.32168734492432516,0.35155370202257374,0.3878051715341986,0.39594258886047345,0.5662168325434147,0.44317214697720403,0.3559947084069845,0.666575913573598,0.3814296785532585,0.274221989265426,0.2458177462859948,0.2913074226143356,0.27483927785332835,0.2824208391423537,0.3509533750994121,0.462785898482461,0.4623479472566,0.36314862822661254,0.36356685447222054,0.3406582155863158,0.359996228335429,0.2523613487625352,0.22841234627893958,0.32443650247509964,0.31915973874968145,0.3339434702392981,0.2995522173532649,0.34978834222688054,0.40285976417067565,0.38472403983101366,0.388440852518111,0.38668947465140857,0.36787518569933847,0.4848407766065904,0.6180610721226304,0.37203671685388123,0.3478891747223478,0.39709230462323347,0.6319192580202808,0.6730279553060141,0.4122886012553638,0.3273591005916222,0.31647303125367804,0.31628072777295907,0.29839853198252075,0.31088529401267156,0.24326192689705345,0.2918222603955352,0.3904470703754148,0.37368125731685936,0.509784332110628,0.929969092924322,0.755839649613833,0.3903139061341893,0.31313269214522604,0.31306484255597145,0.2681386573268598,0.2847661327373865,0.32949021454323757,0.30108274356743514,0.32041692238129094,0.32088544865778756,0.4199885538438391,0.6150493794202496,0.5844173726699248,0.9611603838335679,0.8789659891015871,0.8474564114721632,0.5436043404094358,0.39067164738111587,0.3534605521887818,0.35671526821693544,0.2944544854466978,0.2986668544884085,0.33596851416519524,0.4258875889052985,0.32669698364638483,0.33806864236140177,0.42421696041361884,0.3251557794914582,0.3859354463130762,0.4496774965706742,0.47860651574306107,0.6441161663953526,0.6539530792202515,0.7943277107493311,1.207983045179381,1.032231497116717,1.0280356359136817,0.9233200194298871,0.7950695043971443,0.7529219855172733,0.5454897115066296,0.5547372654007655,0.5898184078310117,0.5631758038925414,0.5499668086519738,0.7068804084816264,0.5305260525758507,0.5695301935043694,0.5519865404439237,0.5747251551257985,0.6068687136914894,0.6681075331536012,0.7889326723809111,0.7568951384672324,0.7448737615600559,0.8490491644887518,0.9036436572220893,0.912088024960997,0.9971815033582286,1.0804187828263734,1.152872717889536,1.0321076464213,1.0950573975799336,0.8559214828411726,0.8452122912972135,0.8544252254626379,0.7734102549049591,1.1079861046057489,0.889245961427453,1.1418190292413135,0.7021997869666546,0.6586173397632167,0.6669375928148931,0.6557371545184478,0.6967513153902337,0.5985811507079101,0.6291927204417535,0.7435514766949953,0.7548680806181486,0.6348453491972088,0.8237142526777211,0.8395498697642358,0.794366988316329,0.7621617001861237,0.578629004641434,0.6506166817905255,0.6165652603344095,0.714699972095318,0.7965841514938963,0.7754474566302748,0.8791142289841691,0.7176724637515115,0.6632709453822382,0.7991778438777561,0.7616674462603277,0.6726521349536034,0.7390958073555742,0.8206527530897706,0.7882335220862784,0.7854805299489263,0.8860619166351382,1.0531056476475082,0.8932630134519959,0.8580675721354611,0.8215018843460378,0.7044880044265017,0.6513471134118926,0.6429968342049758,0.6856986239882121,0.7086442687171423,0.6472525980742508,0.698227431445178,0.7315839103870707,0.6629279696725383,0.7171074808895683,0.9238376251388698,0.7908144783851553,0.7901729345200186,0.825647844733974,1.0254949958264916,0.8864313750235654,0.8476547211988895,1.2627624896717746,1.2624844083318885,1.0221169729180597,0.8996426911482949,0.8058732203034977,0.8296182040160808,0.9420378940033295,0.7912336727936121,0.9328324735887041,0.9664954923007673,0.7846812932617394,0.6136331497825772,0.5304257751414607,0.42079198014141583,0.9195183660228312,0.7843253203989935,0.7184062536197777,0.9121977011111034,1.0783823621811728,1.0175637822198333,1.2814093697119902,1.9193526957205704,2.2604343073111486,2.275442927811997,2.275709352247496,3.333504481876545,3.4656499374648124,4.704132481373665],[0.7253749252887854,0.6757022527645545,0.6984002283432171,0.49803256747876246,0.42503493502967865,0.3296133254003815,0.2999289058397542,0.33671411725769573,0.3749212819907099,0.31988715893189634,0.3092802885805387,0.3573107007795928,0.3152277478630746,0.351523717668717,0.3994897766945603,0.34327149121168377,0.4058116180142565,0.4176825300770442,0.5044133591765936,0.4413705273717097,0.45708391403743326,0.4832863488964875,0.6159084470549914,0.6639773006750493,0.5913566202882011,0.5097929968579092,0.42571208797409205,0.38558633190394725,0.40062209097187956,0.3638859434062011,0.39952800842537917,0.38471348536565075,0.35970817228419466,0.3544939099434148,0.3415552701548003,0.3741735202846494,0.35942000092427845,0.3825285408840815,0.37533444347055883,0.3970655545715285,0.4079295954014135,0.4806244335573667,0.5110372184455066,0.7524125188945089,1.25504144690076,1.649573403844959,1.7773924691672376,0.9698714117575364,0.9735112193395046,1.0708838413312305,0.8592326864923423,0.7708456421838298,0.7172879868232315,0.5400050569047365,0.9351163187718251,0.5189838223402532,0.5793260984995192,0.7549976425039401,0.7339814858439153,0.8618908453021598,0.6958254673817099,0.619502254566851,0.5011139074053561,0.6058713986691863,0.6078295442052384,0.4903327483833786,0.6952609983208553,0.5079795502150964,0.6830318453228279,0.6348115507826265,0.8245900221731841,1.0444722667031743,0.7250471971715611,0.8826536556873746,0.5492921676700854,1.2686804339567113,0.4498888319763295,0.4094399211839711,0.39245466417877084,0.44611364345891713,0.4147631436169231,0.4872053069202135,0.7863275823028296,0.40522825787215777,0.5150674873789337,0.3871828419282023,0.38344750405934974,0.4957083103397962,0.3539911051120628,0.4481030643469856,0.4199294132697915,0.6121322224058878,0.5210194433019218,0.38478596297263445,0.38922981912716653,0.44996874345241233,0.5460239879335106,0.37953760522527485,0.3638391403749548,0.5408185545180124,0.3596115053501321,0.5837053459622539,0.3489892158651548,0.40159207636495026,0.44850507626655356,0.45805211054193135,0.6426997205591541,0.5046445295698501,0.42812662627862014,0.6620118406203549,0.41085601705457026,0.30089788227812436,0.2846229709254841,0.3470725127549235,0.33119293133015243,0.35365120431115876,0.3912616132627341,0.5369157816291112,0.5321477469636908,0.43563211613004144,0.45538545348455356,0.39461560739555207,0.4269366474780396,0.330334504558266,0.3007750171581014,0.3739050309494359,0.34882321477212647,0.3736943142513482,0.368244015084753,0.40777846281716057,0.5350301333003377,0.5417230850065405,0.5035472980397019,0.42635356152247544,0.452842761359372,0.6107219866161122,0.6217840865274747,0.4315135741586937,0.409019888842828,0.45523705942947285,0.6862307550285703,0.7437214775179567,0.47749053579525497,0.3789781923415364,0.37468352400314325,0.35617569657451326,0.34615500988256753,0.34881367921436346,0.29129013006407556,0.334751940314521,0.44713430126685544,0.42092879655760207,0.5906791758343561,1.002221336939892,0.7635373837094823,0.4389800296885046,0.3430633944652703,0.3779306408000193,0.3158460074370222,0.3346627707818336,0.3401166912650709,0.3397127634110556,0.359837109731751,0.34137619718043904,0.4825308201509236,0.7002886200145566,0.6366616221301259,1.0095245591388329,0.945525831926393,0.8979925257538877,0.5750975284373752,0.4272316747755766,0.3842862392810027,0.38217754406318544,0.31752687615125086,0.3420111829601547,0.3689934601831064,0.45485161011670494,0.34799251776924806,0.3696776323867494,0.4194389587264806,0.36098586191766224,0.4204071036891921,0.5062175243228118,0.49214278965443065,0.6161756897550966,0.654523594670108,0.7945301040655454,1.2137584096887506,1.0358265686835089,1.0329766378951453,0.9502840025528647,0.8722800088753722,0.8532351764202962,0.6634059532110259,0.6628693205829961,0.6831487414393929,0.6751631610887172,0.6444950250517935,0.802593279336969,0.6265867664646653,0.6428786768213479,0.627018193829738,0.6564666277961504,0.7226488950704937,0.7927462402579369,0.9103639445629185,0.8794196657809458,0.8952480702464578,0.9850981867370746,1.0273201874745146,1.0688667888804109,1.1601261375181664,1.208867400129423,1.2942531301620428,1.1748178084364018,1.2124363016443989,0.9545461429024534,0.9644692207964143,0.983990237008195,0.9066686207392767,1.1994904239546673,1.0346916563603996,1.3153444982382174,0.8368238612491089,0.7717472692914787,0.8182038974790365,0.7404857627310326,0.7770659155767913,0.7065912868872706,0.7217781183901024,0.8246922426411334,0.8690921036671044,0.7414599741899024,0.8164029001142791,0.9418333238152102,0.8718930713610915,0.8258235826143249,0.6608711139889001,0.7024741333631417,0.6556595508384591,0.7662268880896762,0.7535503524795848,0.7500951378162541,0.8334748072109949,0.7093239252860156,0.7424694803138179,0.8069161757298879,0.7963160902834154,0.7939954508925802,0.8950789504971373,0.97057175708912,0.9382720753391,0.9494151182165702,1.0634696415404248,1.2200173189086498,1.0680480947858393,1.0431916049539802,0.9857400497630951,0.8729083077554758,0.8092124614052366,0.7904078945198818,0.854004926443757,0.8325115004238174,0.7606765340867668,0.8177301184957526,0.8446568830588621,0.7486472773346783,0.8191896964908376,1.0379789307015297,0.8730521298823342,0.8656540482532193,0.888069266573307,1.0677293623920923,0.9289224674523623,0.8779208581299719,1.168406385465654,1.1756588879689187,1.0766531630295282,0.9102292092461575,0.907825850628317,0.9801227095473942,0.9365293914071025,0.8264738208786212,0.9583110038348717,1.0299192612856247,0.9285640926237793,0.7575394006531673,0.6489263942505444,0.4513963033498888,0.8616139762629524,0.80790399787457,0.7724832490946119,1.1043381094037905,1.2250961075257651,1.201096391663875,1.539274116643405,2.0967332250363815,2.4189604314610875,2.6329357387049352,2.5909398249398587,3.6523650901070126,3.7442014133356634,4.778248415365524],[0.7916824745823066,0.7541550937220766,0.7684980480269628,0.5220742472882398,0.4302141523093219,0.3826545570317201,0.3026535988672516,0.33820265103386354,0.3590868416701006,0.27887868563568996,0.2919883810965539,0.36079188864251377,0.2795110792251715,0.3106261599247978,0.36964064708771355,0.31308553558925745,0.36891487891744695,0.3819897775608067,0.4951480849481368,0.4379031890597891,0.4789702340618226,0.52367251496401,0.6745781067842208,0.7208612597853229,0.6445939665186792,0.5435319124557493,0.46156995177692406,0.367721603033126,0.37218620072970104,0.3325332886079442,0.3749996579123103,0.374981533686986,0.3463913231949266,0.3447790897567062,0.31919456930271667,0.34593966637078893,0.33419505930419113,0.3767313850034393,0.3649537282350735,0.41432611912065564,0.4209276915913412,0.5064389673676616,0.5602558110230141,0.8026535607110324,1.3248179621362526,1.688465002298069,1.8650776881456195,1.0692126067666379,1.0204890454890339,1.1620845912079458,0.9432959110453177,0.8626326841154708,0.7827732701223471,0.5959777604525471,0.9351003476638157,0.5595074342232716,0.5937662230620878,0.8011680348973635,0.7121286996952534,0.8939109936968428,0.7213813186637096,0.6122064347150832,0.4903053176424262,0.6164138845196404,0.6440681308514683,0.4884773272176765,0.6786257353398052,0.47941325553691516,0.6704169967044956,0.6262565820528302,0.7804190084500313,1.0202006912613584,0.7039681144894803,0.8652768927155002,0.5271162571333728,1.2437753003987204,0.43833385871914343,0.3756328410010708,0.3852781129708968,0.45114040074986533,0.4044579792951526,0.4845400145612041,0.7621269673281043,0.4273575288546849,0.5333502172423613,0.37690327494855674,0.3828070221444339,0.4736535755934395,0.3502088339098705,0.43294275934059545,0.3968388096168625,0.6176095789154373,0.5039895886770546,0.385052232460618,0.385252061611002,0.4627399333430534,0.5669621861677027,0.38505047210921706,0.3705064814832535,0.546372469737237,0.3633724350166193,0.5706424140899821,0.3221658416976652,0.38187330249698165,0.4118934031449797,0.4332627555305184,0.6264211725666202,0.5152705124241623,0.441331840667996,0.6740808477950714,0.4284204152730064,0.29752511536997495,0.26248525272280804,0.32304151398227554,0.2848055386497841,0.3206300952954621,0.3612989142523266,0.5388068111627095,0.5490307498871256,0.3880851059999241,0.43035120026896845,0.33354512569817407,0.38011339802908406,0.2595779158158296,0.2570187142061794,0.3478146633268645,0.38249599106657106,0.35275336019126113,0.33686220941960276,0.3734357622600722,0.485283405827021,0.5031036398997923,0.4963838915175915,0.4008483353893823,0.4254188852374059,0.5654113850800572,0.6514728834969402,0.4403810970497827,0.40126310206538157,0.4491676255962075,0.6814683271006856,0.7774215398791297,0.49650077186264846,0.392380890006673,0.37413630965172273,0.3487774620616176,0.3285019898556455,0.3249961927315725,0.26237857900410155,0.30832525575720726,0.44055404856775154,0.4188900520170854,0.6017319361254531,1.011840381557354,0.785120776158694,0.433815464647729,0.3446671694261072,0.35627670196101013,0.2835940515246845,0.29023075441644575,0.33736759925449994,0.32374688642826355,0.3697361164877963,0.36051947275856167,0.5103727563950552,0.7650708622258547,0.6978270825822017,1.0938708663467263,1.0198391782630947,0.9324796441118293,0.6158173516305153,0.43952715360755196,0.3836346232499353,0.3718925096060396,0.3090780566450355,0.3211515081657213,0.3368011765791757,0.4323325907608358,0.3411863323357458,0.36260533444042903,0.43856668105169105,0.3338367485606784,0.3977736919640408,0.5001729074279778,0.523043724520273,0.6666521413803941,0.6996211996476754,0.8503223653492216,1.2635877655107084,1.0825142856973737,1.119671012973279,1.0030256854105963,0.9378439621004201,0.9088424233687236,0.7048237864244853,0.7004713912774011,0.692822078056119,0.6585014118289392,0.6141943212788633,0.7329955701663534,0.5863044845858789,0.5861918788855288,0.5637784153062568,0.6219681333023593,0.686870910334486,0.7527396441352964,0.8430498469496713,0.8622799338955596,0.8841352093064652,0.9802576175604719,1.041805906399291,1.1006568769404192,1.1858417931180667,1.2598150777859898,1.3532202243070564,1.2189165720978858,1.2602821839777911,1.006358983265855,1.0011392258090184,1.0249173575980828,0.9469918488267606,1.2663117715474321,1.0802933177606435,1.3147010921983686,0.8643332902758749,0.7893636313252614,0.7784187869909186,0.7377501793671598,0.8347751937696544,0.7289822291079195,0.7005606843704927,0.8697091914306117,0.9262010694305783,0.7467029758938701,0.791004208633379,1.0379099980217066,0.9118146713236256,0.8243325494612905,0.643520833482554,0.6624217765916801,0.6130542330888525,0.6970756976576947,0.6983969778146129,0.7237655422977489,0.7955077048311326,0.6736679329426436,0.715047012556794,0.7687920634608562,0.77284650586417,0.759173085383992,0.8785874834979176,0.9646548083921312,0.9256606171067795,0.9432493608000401,1.0719727981829992,1.2473352032929095,1.087536721040928,1.0654373311693037,1.0017018895980105,0.87744433932506,0.788307012232203,0.7817360849098325,0.8654268885424796,0.8261756812626343,0.7480323678396079,0.8353215010548593,0.8623266819646138,0.7444505301201207,0.8471122879737337,1.078420545430026,0.8813680995779578,0.8763593453699654,0.9507714342126221,1.145286767521516,0.9791141855002775,0.902014255300203,1.219712733658206,1.1778322197483828,1.1382205408454462,0.9760080731175175,0.9382505293671736,1.068634722956727,1.021483511236364,0.8275143910641468,0.9484383342012427,0.997618140202641,0.8548941364662521,0.6328109889243855,0.589395293672533,0.43114897803481206,0.8107287248339932,0.7515261998502895,0.7343233884045819,0.9958202784029914,1.2145423760857157,1.2001052478478877,1.5143600753534725,2.079104776153488,2.415410793632172,2.692158997199392,2.6414666569591727,3.658413411860451,3.737656023940154,4.699402857707094],[0.5249051048442842,0.5581786296208474,0.5579557552248982,0.4362999114934911,0.45777663200263624,0.47901446844388,0.45195808679397137,0.47118858487305254,0.5012751937820019,0.3953026779028,0.40272193890617725,0.4756675244891704,0.4057004178728669,0.41692490606189314,0.44521439194017726,0.4215758736973389,0.48384737052835547,0.47376233641142534,0.5996938928008761,0.5331460155377657,0.5759731773566231,0.6127949904046547,0.7658631195466263,0.820389744762817,0.7167568684760711,0.6380425968892908,0.5651754272523597,0.46074418114886617,0.4712711069909743,0.4574756939296513,0.4579894062438539,0.4628548963608768,0.499738541714134,0.46026956050557427,0.43909447795469797,0.4469353882659115,0.4483707572139548,0.4733356820321188,0.4554859946086747,0.4996956970080752,0.4793311081865999,0.5889359995272291,0.6359409893138909,0.8629220479769173,1.3858898778677198,1.716136485267621,1.9228539073896915,1.1444844125597748,1.0589132632078035,1.212062535423788,0.9788071895466417,0.934948667169607,0.8279523512368975,0.6393907481855463,0.9472250807917041,0.6226729831572723,0.6517509331152878,0.8402351518364992,0.7290891217882874,0.9446123893633683,0.772027632396946,0.6739820664549832,0.5766991505961421,0.7410011124752172,0.7259044253331318,0.5825918975995258,0.725904883473816,0.582945043093929,0.7585683665625856,0.6939891662729732,0.8195767954940629,1.074659801442214,0.7625832175068304,0.9526289556442491,0.5815970625171207,1.35207493708677,0.541101904739088,0.491187429820915,0.5057118005385953,0.5331215796750505,0.4726952596380357,0.5617022645932833,0.8573646559186529,0.49451321256601155,0.5991495563525062,0.465264629386049,0.4668165315603304,0.5433109495474968,0.4594662214259248,0.507290154453839,0.49503312810138406,0.6840220089684196,0.5859225926157853,0.4782801909664693,0.4715777300651578,0.5599842588367916,0.6020417769297797,0.5389661026517842,0.5280143632123516,0.6985570880172334,0.49001238600203717,0.715609586671843,0.4302189339558287,0.5199211735363665,0.49173844011383927,0.5134089846144883,0.641110270902954,0.5313135249250178,0.493824179629771,0.729461969949351,0.5045048020300089,0.39725901524638596,0.41058206265118846,0.4236200916441664,0.4165871748646529,0.4325929364677119,0.44709848638408894,0.6087406156578519,0.6360641102629091,0.4958582930867809,0.54234189746558,0.45847074653158393,0.48768032515253135,0.3891504095001273,0.38270005909350185,0.4227066626291735,0.4815043655102452,0.4292394043949906,0.4174742892179553,0.4605631919735356,0.5230554943482737,0.5464681199420467,0.49763974590421584,0.45321915477599173,0.4426109617405239,0.6035071403400154,0.6412445442150859,0.4539321666792266,0.42317228195339057,0.4947532652950071,0.7638564296933743,0.8387768178599743,0.5584771533978251,0.4538125912560479,0.4403063805810936,0.42716622719728187,0.40096245842045397,0.4365719980333087,0.40155848039889375,0.4567486059822501,0.5371328996822151,0.5649467796621443,0.6818302119222448,1.2237949613497998,0.9029066514483817,0.5899315323656008,0.48318656452898645,0.50957764125535,0.409891401754999,0.42776895480848076,0.4151722193414478,0.42870249737028404,0.42466073375641944,0.4239655739153491,0.5179591165992434,0.7440974153793961,0.6984920511949428,1.1142190143478736,0.9958358398682007,0.9120901374413992,0.6042732246759612,0.46099087800482863,0.4160190022363064,0.4228589707482016,0.38182213487276656,0.42361879129411206,0.44057255940166234,0.5412268493016476,0.40047998908786414,0.46209063894960684,0.4684191499116647,0.40662549964198097,0.43758384738143347,0.5078624241461026,0.5331564134137814,0.6896697819783922,0.7436220192851887,0.8837995956187401,1.2838294352984865,1.0952996663608017,1.134707671518839,1.0362393288914267,0.9297740960731447,0.891720909617477,0.6793576746302088,0.6795648172579835,0.6776558337625266,0.6683414579583093,0.6336493790769911,0.7904251545614484,0.6246658459082572,0.6307764141913867,0.6228650351386508,0.6393033087546107,0.7255102766561272,0.7863998942269772,0.8609329465248734,0.8856783882888721,0.9235444263972941,0.9932868614947897,1.0459084921444408,1.1324539441933674,1.2190000196721293,1.2614724300313434,1.3769408297811896,1.2419604471386263,1.3167816207412,1.0858701694243087,1.0548768984890875,1.0897834563244697,1.0419439577185456,1.383892478375119,1.1960140890816429,1.3763527468675438,0.9215573555187343,0.8486167645189029,0.8319893551133858,0.7876324552243803,0.914508070557758,0.778626029004567,0.7388288097774919,0.9126209028068918,0.9853259279675962,0.7812226323690344,0.8053897069155334,1.1069597324525127,0.9485689579705735,0.8261531985325776,0.6642339179793048,0.6804169663244439,0.6457546242064871,0.7263136035059232,0.7115974725228672,0.7341858928442198,0.7863447682109418,0.6784994936518012,0.7433788358774935,0.8009005716537191,0.8066464605852511,0.7953135155706865,0.9283378191880961,1.0074945713251209,0.9784459092215441,1.0096409119104757,1.133272153472547,1.2865932215502303,1.1413935689872727,1.1298937519104224,1.0555759204278925,0.936396370744902,0.8446761523904123,0.8387030332462931,0.9295612124842458,0.8645641392724143,0.7931277440751796,0.898031739589262,0.9190851366803113,0.7801291032547031,0.9011441716824432,1.1628391568882703,0.9305516234019545,0.924733078786056,1.0081861411075137,1.2253567331774604,1.0380401027218276,0.9662831254644323,1.2726943800607298,1.1784876606091768,1.262207903152219,1.0180504894191431,0.976603728141863,1.1225849977650415,1.0230454834009488,0.857016739932887,0.9686517530812113,0.9687751212413835,0.8678214586301504,0.6917814817516262,0.6466551674017488,0.4930800983253824,0.8746905455014569,0.8153931637288103,0.7829778548219909,1.1650955616864376,1.2391714329580463,1.2351471469128583,1.6544507385897087,2.186189978128819,2.4049008197926174,2.821048574450882,2.8083406765053756,3.8915567053166717,3.9135826171506256,4.914995526398185],[0.5406727151499542,0.594149313034199,0.6964000685780013,0.4953223922772373,0.489509734590336,0.4828615699427722,0.4119658767680778,0.4368991665049204,0.4562023314501125,0.36109933530802296,0.3644842616657799,0.435452509931927,0.3723593312426065,0.3654579669335673,0.4025944608784665,0.38726773492809313,0.4142181220875742,0.3973511252583409,0.5106583248421547,0.4287004019686507,0.48349784520418965,0.5116504856354558,0.680399019118999,0.7189152276152899,0.6309982358115784,0.5221014461683204,0.42801328959987334,0.3565796553388468,0.39869649677810926,0.3858731859105032,0.4066721470538327,0.4198749825401568,0.4209011813068407,0.3959497092157287,0.36898275287421667,0.3612463844591543,0.3784818891625817,0.39587030495416314,0.363789640983076,0.40376854312816235,0.40005781777024924,0.4696326983030062,0.5345931854950853,0.7901569836513224,1.3312663085094791,1.7018392771795003,1.920550890887134,1.0883742315621054,1.000433331890162,1.1795255660478587,0.9700617150953939,0.8613568451884454,0.7814546575614348,0.5830328619411195,0.9280250868993917,0.5682474627127192,0.6063560249737887,0.7784069315164481,0.7095421345270528,0.9148739885487702,0.7270320501696094,0.6311852001235485,0.5031385291911118,0.6312487071737627,0.6543188741193283,0.518694127190871,0.6604159786048567,0.4959899458848561,0.6908979612182745,0.643501770806457,0.7938392991806384,1.0508936526780852,0.7197019794029827,0.8997375956786409,0.5356199520915159,1.2364809602874063,0.47277153448293086,0.4118500279608696,0.4242760572155355,0.46494593004938073,0.41341234135415955,0.4843039258543098,0.7521920201398327,0.4746318217034648,0.5043579140998794,0.3861580821531667,0.38293221813367034,0.5031030961517462,0.36675859018971146,0.4480491253517384,0.43481273446396274,0.6451485534259576,0.5408563117907464,0.4230379042678273,0.4254483639442313,0.5191496823462057,0.5907775179767004,0.47524828399048696,0.46388481615129745,0.6265144800522922,0.456609451009294,0.6853773842832788,0.39335052322575237,0.47766139384262674,0.4858539921155207,0.48470965092590296,0.6586347971231915,0.5953066188933565,0.5229101941058004,0.7046462226384463,0.5010884155615412,0.38255393226713236,0.39363754140644486,0.3847433379209571,0.3679515841004599,0.3587708487106438,0.3726818736805854,0.5025209690273801,0.5311830495908832,0.4312059780682528,0.47691191616056366,0.3943143747609254,0.40880478549815014,0.3273876093538752,0.3212790527395522,0.36346528104523657,0.48796890591324654,0.42502295861879924,0.4359430991521933,0.448790452538738,0.5391155517631874,0.5942850327870252,0.518403821992329,0.4598930409284932,0.44357188375614015,0.5827241455299098,0.6137280614963728,0.408399700903093,0.3421447074680499,0.37512397440990286,0.5914569275389213,0.7550637809495001,0.44090529981020526,0.36171715505116425,0.3612119895656005,0.3546777333874152,0.34806819755853835,0.3995748412468708,0.3739747654790002,0.4275635535504854,0.4997981577784026,0.4981266288599643,0.6045667915676872,1.0197588646208047,0.7975673037087087,0.5151328956908209,0.44162927019333903,0.48022656526231244,0.3762730418292846,0.3953846133211299,0.38492725626593727,0.3837754015277828,0.3602112881197984,0.3480421104958933,0.5184373564431667,0.7090967258271152,0.6804183390642475,1.066574212161091,1.0011724798863195,0.8829253012571836,0.5796030276123237,0.40841691404404845,0.3992580861278289,0.4050643892963902,0.35629354214933795,0.39560994312393677,0.39838331874348176,0.4814482178828972,0.389429238289477,0.42905703368386067,0.4611988083077297,0.3994566084925883,0.457210804497514,0.5583409626187865,0.5385117161983406,0.6390374601568737,0.6587453297979374,0.8237731776399334,1.2469058164851348,1.054245021725331,1.1367154721244042,0.9226417121152821,0.8923502472704314,0.870974627828225,0.6750447622569484,0.7068966223862547,0.7020481938932058,0.7014173038132758,0.6874027465020759,0.796282863823358,0.6664017057456574,0.6348638695942833,0.6103006155041709,0.6607038859579165,0.7345031233234187,0.7659613393351801,0.8141087277838374,0.8701774365214351,0.8795895322255053,0.9380444223481986,0.9826369477048917,1.0558274768817713,1.1137470464223946,1.1956154963065326,1.2840745085039857,1.1979027214124833,1.2334441334183708,1.0877223625677876,1.0527407966262226,1.0775486765382059,1.0667200589621706,1.428914383752622,1.2491672372417484,1.384900955085287,1.005123267961729,0.9381102560456351,0.8859828897492039,0.9020325651570491,1.0530619618127524,0.8847551429584782,0.8300033656550488,1.0583047082092236,1.112299950586289,0.896377547538326,0.8933180285437923,1.236694372450505,1.0543874818524144,0.901280604768877,0.7424560045819307,0.7287667241794509,0.6953237308861121,0.7268493417722688,0.7066578852438631,0.7736468396332538,0.7660061025566245,0.6986489839862515,0.7496578932718112,0.740453606331526,0.7590180166148581,0.7664112328512839,0.8702835497837906,0.9263085846113012,0.9070659540742846,0.9417643895329936,1.0267692771488692,1.1780546610180693,1.0444955668380578,1.0438913739417535,1.0063864877395041,0.9223989160254862,0.8454690459362172,0.8683573662922447,0.9454593066310404,0.8715416829867401,0.8358222322744542,0.9536942812821914,0.9557497201979848,0.8487760865624142,1.0105081075564373,1.2183716587223212,1.0026213961449841,1.0266366209508164,1.1265272790303462,1.330299176409946,1.139252095172993,1.0398227669143756,1.3802233609135544,1.229827088402898,1.2890218593522411,1.0581020392315688,0.9806683974237368,1.1343818839162987,1.0904801425586605,0.8739085110676323,0.9995891204807862,0.9649818900026473,0.877373332510385,0.6561830948253189,0.6617442632092884,0.49517822402054035,0.8294771740044975,0.7180058761576086,0.71080564943779,0.9795615487703063,1.2175068738568615,1.20267728691596,1.5187051758672532,2.1038522653369798,2.3189395272283377,2.7652866308406754,2.6876797643566483,3.626125686709934,3.592317686019217,4.507718391595729],[0.5470441300129727,0.6096348175909546,0.7072401884775991,0.515513014241322,0.4767897869022869,0.45244261441216643,0.36534164558998733,0.39621840555706106,0.4043570387377506,0.30574488708043546,0.30552126658287354,0.3757883263132187,0.31795195226488326,0.3211055004135756,0.37460993273887583,0.3318504615809344,0.4101000133341778,0.4329696717083338,0.6009204800920853,0.5197744609859344,0.604935068914749,0.6421254058686587,0.8338289463351108,0.87701495980222,0.7718702106506266,0.6673550450846049,0.5846371904282538,0.4227704576724932,0.4234948872349142,0.36881307201673486,0.3987397088895477,0.38407371126942813,0.38258817238742476,0.3730918722233304,0.3490432263450798,0.38237281589265676,0.36969995736904454,0.42065915693276545,0.41250460664315763,0.4691940314514225,0.5046142875419405,0.6090705472298917,0.697907988706331,0.9291362154760893,1.5043311819391245,1.8066280304573392,2.0662242576183387,1.260889097829465,1.1020121880532003,1.3071553542018863,1.0848920362972025,0.9821141137093156,0.8743155153677822,0.6700980554525675,0.9590075052075036,0.6683021596216162,0.6895691004284623,0.904019288210655,0.7551468464163708,0.9660496045947963,0.8115026294338142,0.691831955781693,0.5414275078144354,0.7102831822171389,0.750746203587573,0.573876628790552,0.7207874858048807,0.5440428901683603,0.7585660540834535,0.6741468844002946,0.8291174910603254,1.1023974652946704,0.7695113256938462,0.9861165657229685,0.5675733691247612,1.2897145198361595,0.5196723837442219,0.4347242393643712,0.4401596308552932,0.5009733171532628,0.43645676948675927,0.5165851798913558,0.7596504252983294,0.4843942758970457,0.575863193329036,0.433403309867811,0.45034411332956364,0.5043225859336308,0.41359799351659066,0.45420620447282795,0.43538303209630935,0.6534182117052526,0.5393486924967559,0.4073843168711794,0.400306191987376,0.4949248468986485,0.5602980401431658,0.4359284101729693,0.41568561987120933,0.6029320746848544,0.39520655493024615,0.6519048608299428,0.35885332926200725,0.4322920386474392,0.45778358706289707,0.47209831074821806,0.6584085824351308,0.5956283723802892,0.5072839763081095,0.6893275175936346,0.4775211536819913,0.3512011715901038,0.32949246198748827,0.3478430275667932,0.33227181797764527,0.3793761170555791,0.4133504518055054,0.5668966691590742,0.6451393611787442,0.4757783945459062,0.5311703131728954,0.39892179126388794,0.43212087311947894,0.32235455927758816,0.29017444001723364,0.35012717123933457,0.4476223550300786,0.40024562371330835,0.4093316895970577,0.42326936248836666,0.4984625882693191,0.5549369488816662,0.48806467402415815,0.44095114609880476,0.43670288221067965,0.5344075104615021,0.6276804460282722,0.43587774628677084,0.39796225388652057,0.43286951243364113,0.6931053812676858,0.8727068425113799,0.5595791313087497,0.4385785209941394,0.4314587816637954,0.38351825766661474,0.36347172123392885,0.3557829951038537,0.3139273871130159,0.3763102843990191,0.4623372417031812,0.4759197011934899,0.6051416983861416,1.0710298310940711,0.8063975853128154,0.4890991069333197,0.3907855203459856,0.4270481208782587,0.31791362859567157,0.3442109772114248,0.36294883191884125,0.35612663286363105,0.4005198026372363,0.4187238056174438,0.5787472055513743,0.7361473660477834,0.7545248128884307,1.1629225701191228,1.039443998531624,0.9110678345892417,0.629320525298375,0.4661531415982126,0.4384151201831084,0.41010117819714603,0.3539295606685267,0.34675700588317865,0.3626558537735781,0.4411193631520248,0.3862501778034278,0.38880807183915655,0.49539593595322867,0.3774177627667632,0.45309260526617784,0.5570260663717808,0.5654354807282539,0.7322299156919061,0.760289067890333,0.9250637573831889,1.3341756763128725,1.15025001123619,1.2496869342602406,0.9848061935057788,0.9244526002824635,0.8887262101856428,0.679120969549641,0.7134559706885888,0.6846169663769707,0.701143784619082,0.7031228363291553,0.7787513706615319,0.7067807134219274,0.6656774816972756,0.6238418811491969,0.7105389617735468,0.8082496252773927,0.8261825155988876,0.8707215725838602,0.9490424705392073,0.9727328287263505,1.0189870661142297,1.075436119203766,1.1686285564690833,1.2227410779403838,1.3052104596822964,1.396593706864443,1.303808109725512,1.3555036832401968,1.2159891727804106,1.1624441281986402,1.210814195607388,1.207790376585935,1.608470744772233,1.3960936746926387,1.4555398162772073,1.1052800734196413,1.0392378882618876,0.9630167363779095,0.989866701820198,1.146139885496517,0.9669070457359615,0.90108490016181,1.1529830890322308,1.189973760182574,0.9604124258104055,0.9454380477733126,1.319434175947026,1.1200999534863891,0.9377719133541396,0.7846111834142793,0.7428789446613747,0.7351534739552708,0.7779845153292987,0.7410655448517046,0.826886113395182,0.7911063938034134,0.7324880531057779,0.8120902438703672,0.7871021387345813,0.7966625171267776,0.8337055714733105,0.9551756377261755,1.0076109057539389,0.9935840627926459,1.0551408065915207,1.1483731496539458,1.2871162216778524,1.1763851619223817,1.183196520276101,1.1297344506054066,1.042443587134842,0.9364637819297087,0.9672897266436349,1.0702695901078152,0.9660232521514375,0.9168732280776024,1.0594341993683092,1.0592696933461847,0.9207739089490838,1.103488284470978,1.3118495228078373,1.0737951016123664,1.0897316036965974,1.2335471849089101,1.441673046168425,1.2239783565996436,1.1116918956208455,1.4785455665580531,1.3009266395554562,1.3844160580026104,1.1532678804883987,1.0744238713361427,1.2350831282174668,1.189864629312629,0.9491540650532182,1.0042898891952805,0.9620979752409954,0.9088079601706774,0.6409138968395499,0.6467828995575646,0.4854135321193433,0.8317530249255785,0.7236971973363121,0.7410361495547714,1.0072690271473566,1.238936908036464,1.2530750440812426,1.5852397272347996,2.134611481928876,2.3452901247634568,2.8420098665272993,2.7876931652940415,3.7488796737732817,3.7112928327789834,4.609040011777835],[0.6208083980816056,0.6715863344370272,0.749673920692738,0.5353921417337003,0.5864963886486159,0.6402677093812063,0.5457719520063796,0.6062148448263667,0.606745998050119,0.467611431657058,0.4805146168808148,0.5764073646949066,0.4481914719214103,0.4294160872147968,0.477459736830943,0.45854503392516643,0.43603364257537675,0.42064773809581035,0.51184662732371,0.42211553725663586,0.4775138968973018,0.4998649581272947,0.67104645939172,0.7181545541097343,0.6287389643593236,0.5228707267117716,0.41902484781494337,0.3662904027044267,0.4154215689816632,0.4438446564466036,0.468499191894266,0.4907271684622023,0.5513599755312172,0.4791230103866483,0.432622652839485,0.39915984464052257,0.44091985495749064,0.4138821886918011,0.36990821934134244,0.412056548835574,0.4001806870534291,0.4639920454243816,0.5192459736881979,0.7752360437526503,1.3508321022890626,1.7148714581183728,1.9435623289688337,1.0897957766210637,0.9954127619535457,1.1832187348293897,0.9581469505887202,0.8318125992516412,0.7630531460255514,0.5587869020908315,0.914490625090067,0.5485792166598926,0.6061032856224724,0.7390528435411721,0.7012335300327132,0.9198066036878101,0.7241668502076276,0.6236759402787944,0.5131730433157583,0.6578358931732265,0.6422113895307582,0.516453895362025,0.6716566646606096,0.5262194919666617,0.7178764555455628,0.6718023048931286,0.8043205130310459,1.0700185315726587,0.7484171645979997,0.9210607874055872,0.5716075395088828,1.3186427193603674,0.4924354563530538,0.46476995137519206,0.4547975210019732,0.4704413171730202,0.4365555231367555,0.5033821668251154,0.7814087299533575,0.4900313240684152,0.5010942133585435,0.39744060909486956,0.3865406949339713,0.5491145753198232,0.3957412825109497,0.4930417995852114,0.4839352236616322,0.6900028417191612,0.6048767575347161,0.5205451537071614,0.5149454059425267,0.6323088024708343,0.6679343853843296,0.5996162426579378,0.6028973099030129,0.8036987011270809,0.6009177456674888,0.8004890893056256,0.5130180026102441,0.6233218006844399,0.6059079535760729,0.6009385225854468,0.8036164276156689,0.7064106494684985,0.6638682815377005,0.7867172017524889,0.5938229076758288,0.46539265090363996,0.5015664260603466,0.4347904119435811,0.3868176550153333,0.356271631353128,0.3811412290395842,0.5084268644636157,0.5512010965004293,0.43078083019431734,0.46033805849072534,0.39712676698175653,0.4031437522242518,0.32547577093236124,0.3587212480865038,0.39033164407696946,0.5274675841536698,0.49364252890838506,0.5383428715399285,0.5462886088008583,0.6237956027471971,0.7022117510019985,0.5746095766492916,0.5427361570978467,0.49467479304315465,0.6243376459788552,0.6430724303605232,0.4148124127944888,0.3481787405503493,0.38720084711108116,0.6253339710126027,0.7812192461895616,0.4458394811212683,0.35638075100006134,0.3634739201785768,0.3645373907663833,0.36035854880669077,0.438262566947752,0.4631260188003438,0.5362158045119829,0.6438606501626642,0.6647400422838528,0.7738862628641381,1.2158670140559913,0.9212264268410103,0.6949260211395131,0.585300789872099,0.6354107446547919,0.4878710850009212,0.5225923161305663,0.43735332807016775,0.4223844894412633,0.3750607465513604,0.35964121133423327,0.5296439759599961,0.7011217223852592,0.6797668546821629,1.0704006219092344,1.0038638638627462,0.8828168045016922,0.5863892837423826,0.42636014414628454,0.42765632969346573,0.44848333852903194,0.409017788962887,0.48616365706654213,0.47203520305640173,0.5755632728620911,0.4412439323197067,0.5070283900090525,0.4799952087461252,0.48099621739073806,0.5264384539953716,0.5953292899031677,0.5551797161462084,0.6512898969852952,0.6721045440676308,0.8321341764367856,1.249897777121686,1.0744708434862087,1.1539934399217866,0.917134854400578,0.8860546371984788,0.8664728661913822,0.6939333710574032,0.7491502592436557,0.7275766697000521,0.777282045484414,0.7792322005746821,0.8901091883926239,0.8059182106936251,0.7960800672339625,0.7544855538473254,0.8047087495146544,0.9233354468983574,0.9520210402839845,0.958762132186672,1.0413910754611482,1.0950130106084353,1.120276433040417,1.1568323031895438,1.2700989957102131,1.3370371247884014,1.3907864152624307,1.4600547412944955,1.3670745667134663,1.4444256349150921,1.301036495276488,1.2507177756309371,1.3091467619896855,1.3184332026943013,1.7135879021741538,1.5244075587293842,1.5928617677417871,1.2049825693461222,1.1500862580510653,1.0857423417295557,1.091788995390375,1.2342374783845542,1.0545152382927796,0.9847387864597836,1.1956966151493889,1.2388033141654802,1.0053474574161256,0.972968602798615,1.3330953968484363,1.1339480112829048,0.9694447869020001,0.8374704530525112,0.8152571049021422,0.8187378725354717,0.8801163983659371,0.8529856823785226,0.9769291908913265,0.9001860609855052,0.8403222719885491,0.9551029791291642,0.9509610936837106,0.9360921487910175,0.9763600323080054,1.112095541114612,1.166302204960722,1.1435896458192758,1.2011143403656503,1.2991353539149502,1.4236746111684269,1.3091754726282274,1.3185908278573923,1.2544888182606537,1.1693317112368764,1.0690665200168632,1.0911136437248192,1.1897181811941944,1.0773043131480515,1.0301440999296076,1.1653968072082794,1.1571856618880882,1.0151584010854435,1.192697943053708,1.420893666752744,1.1591400107612133,1.1600276761472597,1.2919567278543878,1.4911742719727268,1.2883494991471887,1.2056775608784462,1.4496405442847682,1.342846619335041,1.4954186736717516,1.1860320307267591,1.15232443459743,1.327686023229058,1.1880002380835937,1.0032099116429152,1.0592514384027756,1.0081826204120725,0.9937503872110267,0.8109888250716975,0.7661044550469077,0.5753086733888433,0.9303946606947558,0.8427263758035148,0.887803494539206,1.2228052542005823,1.332053553101727,1.3698646285340703,1.7635636477770218,2.2442220405950626,2.358560827133814,2.969251168917656,2.947999173809633,3.904111481457953,3.875010074695846,4.736439079771771],[0.5009729690830282,0.5420496915066881,0.5681118363806581,0.44733924549869175,0.5516099645620002,0.5564767578833438,0.5333338680229113,0.5555611382028572,0.6053482787042878,0.5238853500292453,0.5439433449931,0.5963676087105938,0.5158698605123758,0.5460061640831619,0.5743960845414341,0.547093177188479,0.5928360308310806,0.5842577805497252,0.7095702709244375,0.6321589534159736,0.6752037997044135,0.6984148629095435,0.8564873444541444,0.9120892053577511,0.8141405524659812,0.736729764773421,0.657567616102311,0.5699716466915383,0.5803519719760022,0.5614284544680219,0.5800264191781416,0.5672005215809078,0.628475571900996,0.5865498971373779,0.5563804415888942,0.552939553186501,0.5553851873185678,0.5770038730032324,0.5487996154156525,0.5796267076283258,0.568977391672402,0.6745704808228106,0.7199174854359633,0.9369112844668478,1.4472089232556617,1.7638572743608623,1.9887162621156813,1.2058953985173075,1.107213137042652,1.2571668066433281,1.0336532644030583,0.9731216551167903,0.8636539904544532,0.7121303660083879,0.996305841809298,0.7126850631407241,0.7292518914957495,0.9154110604287029,0.8142001543400992,0.9778218674372257,0.8668876463561904,0.7611147449567437,0.6744940227813935,0.8174955400689312,0.8290967556150041,0.6670855258287626,0.8227759422939512,0.6977614342566322,0.890272963550145,0.8000574591535335,0.9330669750262569,1.1593102840197078,0.8642541870248213,1.0444708784506895,0.6751746107607626,1.4368528665163396,0.6441966310458469,0.6020122037096938,0.5937127185323812,0.6134852882126789,0.5800340851252431,0.6475664750142824,0.9302934384334425,0.6018735281860624,0.6684200007267227,0.573420456776992,0.5783920594148312,0.6393249044373174,0.5647092840666101,0.6054973105635248,0.6020589096188772,0.7840536771405114,0.7103764640847535,0.6210999998685777,0.6059951209123647,0.6987970156671488,0.709240969911587,0.6575284391670789,0.639593117929796,0.8214775228101319,0.6044018644396686,0.7869789732552979,0.5311881576862684,0.6133753370240894,0.5993036346885601,0.627510045600648,0.7418344721119994,0.6092462771817455,0.5771244743318487,0.831755639224016,0.6447308811944122,0.5142994537059749,0.5064130831920928,0.5226607321041835,0.5182728171699269,0.5358012279606775,0.5581490723379771,0.6825575700156876,0.7127133496685348,0.6002545816539591,0.6376386712022558,0.5755408435539553,0.5893072006370472,0.5014675278758379,0.49739537325326183,0.506442491522776,0.5991100224616027,0.5314890381415774,0.5344584702407845,0.5474088619697723,0.5581112825183175,0.584179460910076,0.5289948217232596,0.5320965923884915,0.5024508309964117,0.6538920051805669,0.681102925689328,0.5337954133567251,0.5120439281730718,0.5619196987579869,0.8239751694988158,0.9203493980191266,0.6677725097149801,0.5510407808020339,0.5381787261239415,0.5358847088000444,0.5147848876841113,0.5400474611358638,0.5052604995572247,0.5605647907439731,0.6129315889980312,0.6656383182643066,0.7723274545585661,1.3343074060676774,0.9876644963038871,0.6978194627571686,0.5917943915932263,0.6125023693318591,0.5142431408886925,0.5480128026191488,0.5220493379812963,0.5248983309541689,0.5066207100238773,0.5150675683928616,0.5873652905949901,0.7607550607895367,0.7367439992984098,1.1443132691497662,1.0063676082174282,0.9293561252076682,0.6494490185398619,0.5428221128091747,0.5155332291235039,0.5297545743569997,0.4993246480900701,0.533808106027966,0.5398725203530665,0.65207893014489,0.5101799067900183,0.5457189022238175,0.5678343648166541,0.5222736090531163,0.5325529101270305,0.5836893294476966,0.6147563827543946,0.7738225055275612,0.8193433112040203,0.9595201105771082,1.3190547446524146,1.1278664304552026,1.165209854127763,1.0078747694876506,0.921482275066065,0.8900942331779894,0.6867241084974822,0.7032629888973434,0.6664226097085083,0.7109838526449472,0.7009910676061276,0.8019211420179087,0.7411159571425555,0.7517566223999054,0.7112331150054216,0.7622360569032738,0.8647038282851167,0.8843754029296187,0.9410263708374759,1.0177604120518957,1.0563031767567073,1.0868712235455076,1.1460621301167377,1.2678857343323189,1.324770042483936,1.3590161849583895,1.4829296469666147,1.3914697569385432,1.4741799220438712,1.303667753061779,1.2330860606988072,1.2876589480837226,1.2851164603743594,1.6780647170204124,1.4854731097624765,1.6087189624743823,1.1110322227247353,1.06976514424038,1.001652864308743,0.9921189665961614,1.1452257591770487,0.9681007115120339,0.8900498303910341,1.0777349283760995,1.1290543122159704,0.905059938075988,0.921322366104011,1.2635728002233597,1.064612938008284,0.9482475678505629,0.7837589085209785,0.7149449570430509,0.7483867768944135,0.8258754384124781,0.8314005713028363,0.9130652686507406,0.8955869294106418,0.8165651556717382,0.8932032926500563,0.9360202315884694,0.9365318108238534,0.9236266662377416,1.0634778209991622,1.1128444704849254,1.100787831346917,1.1606322135401137,1.2660317411270554,1.3878835030191148,1.2818241323228905,1.3021524116161942,1.232044952671586,1.1233739840339039,1.006259319839402,1.0257583973183502,1.147206978280849,1.0455527202218469,0.9841680464010321,1.1093304994358337,1.1094007887953952,0.961195694416401,1.121410935090547,1.4006513047802245,1.1262784496128548,1.1184862333527616,1.2368607215639231,1.4479939223193259,1.2436171546176453,1.1711497032678362,1.437511354919933,1.3390353360680265,1.4864461179732724,1.1780155341737704,1.1384261542977114,1.2986208510235848,1.1354199403652205,0.9580642942664837,1.045065288611793,0.9923911635369107,0.9200536085479778,0.7442015362537547,0.6988450599304122,0.6059948872346116,0.883643658419258,0.949279970648053,0.9071127886489471,1.2709496755950414,1.291317251793324,1.2807847991825003,1.7206441543399984,2.169859314212294,2.280343012036444,2.8307704415199875,2.857913024510838,3.8566267068522992,3.922987128694913,4.826693107440263],[0.4863382086481111,0.5445235669735545,0.6070718743877705,0.49489894432796244,0.58545065233666,0.6983053437442944,0.6761805940456019,0.7268733398653836,0.7973768621523035,0.7353721721512533,0.7595621574254606,0.8003964153239258,0.7041579894684675,0.7301908154094876,0.7725771017809514,0.7367899382184375,0.7095465739381676,0.7020514778425737,0.7371738443525254,0.6459706726275173,0.6742622062605741,0.6514111045735979,0.7434743640350306,0.7764716331062077,0.7210125536111549,0.6715554653420609,0.5819847242271888,0.6236700331728464,0.6709368900887747,0.6826272034488309,0.7473087839142529,0.7264732010258664,0.7912173285267272,0.7392674241320893,0.6887263931707788,0.6742415122869143,0.6618739278140946,0.6410295584006778,0.5904210795154744,0.5652993191576844,0.5762418533355658,0.6067157333359846,0.5993322702652601,0.8001503125063204,1.335246976648343,1.74607929151953,1.9338100761220856,1.0553603735925863,1.032887886404039,1.1598857283646482,0.949503072551548,0.8686896964411095,0.8213306145403375,0.638614820214681,0.954270723914664,0.6308349770785256,0.7149069930653174,0.7718264547954918,0.8386914196549614,1.0003124667553194,0.8389177133685869,0.8047703776843111,0.7624502835001096,0.8481175634022344,0.7881476902549286,0.7427392412106365,0.8881875717457494,0.7798840039228313,0.9005214492636837,0.892645520754414,1.000380146464245,1.234270247177214,0.9719506827087694,1.0585690433358053,0.8359808708327717,1.4920515994186199,0.7377735579859745,0.7373940923894281,0.7202547576687601,0.685344877512191,0.6347560591884419,0.6422079704329665,0.8898131363266278,0.6058997773538914,0.5828898976901532,0.5423491818766988,0.5741443971900931,0.735936153369064,0.6574677409540682,0.7439804641683867,0.7630946195311052,0.9287892719612052,0.8620624430049212,0.7916400009278457,0.7813940561056951,0.8910468767039351,0.9020487610288712,0.8330242850324803,0.8098428460200873,0.9380013749182821,0.7735161642042094,0.895076124077773,0.6505173466945378,0.6805829853664521,0.652917474294896,0.6227511711785169,0.796799649298895,0.687205375155513,0.6508335706329297,0.7915812958844336,0.599911008498895,0.5343802490616105,0.6336214980893206,0.5991473798542732,0.6223496528138396,0.589213293518597,0.6363428107703765,0.7153777836233258,0.7542476884582935,0.7076016688572375,0.7077002636273313,0.6895713898248066,0.6594604650485307,0.597889871251601,0.6075132327428401,0.5485704940047194,0.5454405323535728,0.5687433579494822,0.5537824947616553,0.5690372685474616,0.6106391723408557,0.6765849657199148,0.5765763991579846,0.554244055293688,0.5396530519519704,0.6961746591033472,0.687252715904109,0.48530165435919126,0.5038063937714636,0.5533883673062738,0.7500510161502334,0.8546073127265124,0.6182695511492217,0.5683670131693553,0.5732259514020072,0.6097612442320532,0.5967057227739488,0.6423666682844132,0.6230238558195442,0.6848043885522193,0.7357650244057083,0.7666353163490218,0.8245702067831326,1.268919469532223,0.9888102893318463,0.8031321628842796,0.7399243205667299,0.7445257182311459,0.663586992893435,0.6249892901465658,0.5737942507896764,0.62828870001932,0.5574291849655594,0.5219214174051992,0.5975327433775225,0.7599830432907857,0.6961799600605726,1.0479370626359126,1.0013906714272616,0.9196590964288948,0.6182984227251681,0.5008371697881793,0.5116587425182976,0.5561408265691521,0.5449757586615148,0.601451904667818,0.6331561139203624,0.6985337390964734,0.5815756608696047,0.6163898262868415,0.5383699345980648,0.5390801259391009,0.5576345493404637,0.6257138053210538,0.5971236916261108,0.6823261407186896,0.7086166869404222,0.8393031053861751,1.2738704912583934,1.0933164502184987,1.1358384552624223,0.9444336428931968,0.8769355835076451,0.8537647786861902,0.6826384087276324,0.7001279652940143,0.6813295072273604,0.7166154030511581,0.7188517880555657,0.8155461395166024,0.7704891059125707,0.7638586382822188,0.7119444864466877,0.7830119639668958,0.8999352696970465,0.9034490594203174,0.9514557655602025,1.0486473482810623,1.0714273936038208,1.0804211951199503,1.15342712254305,1.273695401671083,1.3009882292143373,1.3416279108970521,1.485874923696903,1.4211548395684084,1.5089970736647667,1.3887438999195532,1.294297482567899,1.3384459990240796,1.350387247454201,1.7251558319646407,1.5480534256651286,1.7065214079021604,1.174248838021204,1.141779894097436,1.0730023269887101,1.061661562431325,1.2091668050103939,1.0313790951938386,0.9501218128372748,1.1158214282984817,1.174040047422597,0.9512674188114882,0.9425475050963663,1.2681903383548063,1.0866183381962333,0.9548112653722551,0.8126410483737513,0.7508948477117877,0.7796888057385974,0.8694126918428966,0.8472680493889273,0.9516748498889315,0.8906696680315581,0.8250643057206514,0.9269198209807717,0.944681743616875,0.9294717633431658,0.9471166724696027,1.076830012676404,1.12105819395732,1.103941486727035,1.16591965945515,1.2505299362572417,1.362335313794758,1.270794166164449,1.296974000608369,1.24907879964145,1.1551738109800942,1.0490758838621739,1.0828289000160176,1.2002284677566468,1.0914050694896267,1.044750709589502,1.178621731581001,1.1779693547986814,1.0261287901621357,1.1850203828877908,1.486578529556157,1.2077208170657692,1.1687130184180397,1.2950184092581416,1.4895955315065332,1.3067406825345966,1.251477093625679,1.4640658196463228,1.414762152295123,1.591500773111641,1.244337687884009,1.1853267322683567,1.3113270820786882,1.1407629642919224,0.9972015862132637,1.1050873471837686,1.029855329588909,0.967494255302303,0.8076933887537421,0.7093971645991194,0.5655220459591398,0.8516702642355638,0.8614757425018547,0.8823025743242959,1.2785618682026316,1.3034800305767158,1.3103113014224523,1.754391948578059,2.232136154810594,2.3196148080862775,2.8916234041807667,2.901085402973442,3.889826954133294,3.912211802324514,4.793332761074724],[0.5380354048443643,0.7326259630391856,0.8831217578676461,0.9631575298769874,1.0259697454125791,0.9893202783188786,0.9472927600791937,0.9362632966606221,0.8628831589060404,0.7935604414090145,0.7311889978216938,0.796086630140412,0.792531345294054,0.7158914194938306,0.73498754623798,0.7727581457072519,0.771307703794219,0.7299041857439097,0.7432404321294334,0.7271622439442189,0.7131619994856453,0.7299012823796558,0.7720215250377898,0.7993515328994975,0.7847105377756045,0.7192377526930515,0.7182037564597737,0.766123094941452,0.7844233272745077,0.813326182672514,0.74430858576101,0.8092062758330192,0.8282477300921418,0.781003011935885,0.7921083746153044,0.7675679418960435,0.8376684712290341,0.819267151654755,0.8267101263395193,0.8433368104182832,0.8022971058581146,0.7248205138364305,0.7208773172950869,0.8403959147053106,1.2672601389357354,1.698859119924306,1.8615364522792366,1.009305815781287,1.0794237812916512,1.1578432878863445,1.0332682305603362,0.9652623532890559,0.9779087407444342,0.8511700839650548,1.1048195365645066,0.8285345325181954,0.904779024972586,0.847289910788031,0.9617493717253065,1.1271502838826468,0.9349223276624654,0.879056950165511,0.8311215248381069,0.8776640381699421,0.8308864109933138,0.8196526392915564,0.9040994777709361,0.7840564368408903,0.8501002537889972,0.8165852052738121,0.9181668885859893,1.1296457936482387,0.8643871084387513,0.9804108356832923,0.7868641426812398,1.4185641208791056,0.7681188642222717,0.7764411106795132,0.816597876634156,0.8108727549344735,0.815678510480972,0.8822907879996447,1.0599727075388374,0.9115854540467062,0.8596373219024203,0.7912931006040714,0.7733117011147699,0.9252241173900536,0.7698241447904959,0.8218435351458636,0.775751884118864,0.8635716211819884,0.7964397652880494,0.7417872267964978,0.7396723332418318,0.7778492509746564,0.806505331999591,0.8224657744612661,0.8321286299205499,0.9737550620735888,0.8866765419676852,1.074546154782466,0.8831486741534043,0.9699034119172805,0.9855931158776935,0.952020310062762,1.04728773199201,1.0597631171779494,1.0434533537072395,1.0454119667371167,0.9083342287463354,0.9104014873004876,0.953038563513488,0.9071019130640874,0.810129277073267,0.7819918105744033,0.7724653182057657,0.8190147040181046,0.7678036116004009,0.7395357668800382,0.6936031673775466,0.7124941966598914,0.7377346860201384,0.7542061440800247,0.8100365226725821,0.8896355320279824,0.9118474188212135,0.9936440654017815,0.9905070669049428,1.0012397513991145,1.1210387614127673,1.1792100386086641,1.0532259727256343,0.9786002931527235,0.997953047107295,1.064820210802545,0.9817223254492534,0.8569982084958706,0.8252133098652094,0.8562483680589267,0.9241474283173547,0.9805968995540586,0.7829162002196689,0.790543597047869,0.8118645069032403,0.8241505457102565,0.8296515411505713,0.884283142136471,0.9158731253653546,0.9225900901529243,0.9910747442580314,0.9162260208522253,0.9586639592996815,1.333295062343524,1.012916169333162,0.9185734957820415,0.8772961721872186,0.9681720410799682,0.8808908097449765,0.9501793490862088,0.9238590065248172,0.9153836585440905,0.8635688173744474,0.8416208511906136,0.9265851267001303,1.0552237042681467,1.0022061620403093,1.2113205665460778,1.2107338640232266,1.144505065086928,0.95098065970234,0.8566653884236596,0.8939987880850063,0.9336965536662011,0.8961986688639286,0.9374250535900568,0.8983914553499236,0.9566469526540505,0.8993803721727206,0.9502848709681609,0.8872119371476574,0.932498664921987,0.9722301903047329,1.0210900587031653,0.9613690837465818,0.9410645806521497,0.9247520890893987,0.9953897516847502,1.285759250820609,1.3494172381085747,1.337054739734782,1.1633937832027568,1.2195908995403169,1.1971533887589727,1.0984981305315336,1.111396342640959,1.1214207516345371,1.109606415487551,1.0580273728500915,1.2411392535820616,0.9276858157991431,0.8975340242460611,0.9503293924198468,0.8461181015742838,0.8844453115562098,0.9472535757036097,0.9705985543365799,0.9153411402937475,0.9488017148261658,0.9834908659468906,0.9841118013647594,1.0495092823139909,1.1567942436290617,1.1520562563387058,1.2525914702422485,1.1079673999615374,1.2388288225623356,1.0284025766284068,1.0332952400649857,1.044177675332877,1.0310771745954517,1.282797498502118,1.1875521019472088,1.3734139212503178,0.9904068590944665,0.9367207803339214,1.0297681336063835,0.9525803095462044,0.9528344932113804,0.9022169808400518,0.9707821093800488,1.0254772994961037,1.100278709460511,1.0109416921841947,1.0115189083783123,1.1336154994740204,1.054492279389419,1.0259432733358107,0.9418051697103992,1.0707452371613873,0.9831664968804591,0.9930028313489568,0.9809795616274691,0.9293245841684057,0.9922646288034882,0.9186832868717258,0.9174127036607234,0.9736159709059072,0.9868886540298438,0.9445966414262157,1.0231762346097881,1.0906340401418375,1.0472779963589864,1.0516559561606205,1.152811806511153,1.2820842851567946,1.1093484322022,1.0948181573610911,1.0184666278180616,0.9510489383463215,0.9245421433087244,0.902623969318958,0.9235448870395498,0.882978342651143,0.8540537205596329,0.9230824416610286,0.9299386901486221,0.8760135792788628,0.9466914971415427,1.155527004975995,0.9686957806712342,1.0215069036077562,1.066010976125081,1.289692832960426,1.1530972131170216,1.0812675122982955,1.2322990436054257,1.1955828579205123,1.2546405658978486,0.9671118623299964,0.9575772298591845,1.0786635839603749,0.9507905327246731,1.007274937048587,1.1595269514769635,1.2166761046870356,1.1536567703529332,1.2828128116483044,1.118636812143645,0.9390619272995139,1.1773779576988481,0.9100556374591068,0.9240299039399248,1.3956074238260845,1.31737112007654,1.3081977292416613,1.7818369189907939,2.3165588690350467,2.4046498604595783,2.892936711884147,2.898648897324871,3.9888903683181276,3.976052448879399,4.988590452267729],[0.690744928519696,0.6731544885755505,0.88362958108501,0.7033432919597926,0.926148908825581,0.7784953242995014,0.7652481130200892,0.754539914119916,0.7051454463021656,0.700155712202747,0.6747647941013797,0.7286506673186148,0.7330782943538997,0.6823184261476669,0.726267776431531,0.7306319346672249,0.7172918058321562,0.7272885915733368,0.722749394067249,0.7290798233334642,0.753189957174686,0.7893170501436159,0.8613531038512071,0.8864413335872352,0.8877744783247434,0.7964010836320592,0.7381004886011809,0.7464072195015683,0.7600658033801384,0.7497867838103436,0.7457445571551631,0.7653966846285771,0.7582510201658894,0.7442851310405577,0.7488194110390868,0.7331499607018805,0.8003525475876628,0.8123618148875235,0.8196623418939908,0.8111349427451133,0.8206485267425123,0.779423636738971,0.7983501744497775,1.0065525140031852,1.399758147139198,1.8247602155779499,1.9435592144407052,1.1814249259528466,1.2444604576213951,1.326303222371059,1.1470546866889566,1.0838982347820112,1.0690497230309979,0.9153710090245537,1.1609203607864838,0.8600536560021548,0.873712685494757,1.0156540412557444,1.1009930703584576,1.0853905752926665,0.8998367692468472,0.8898615816459222,0.802806484464381,0.9159444984672452,0.8803704954004994,0.8274786480342262,0.8508989913005648,0.7675112439025279,0.8490830305118053,0.8128393315657587,0.9639106061680259,1.1567715625034631,0.8718580732778435,0.9589186248923237,0.8100536627448646,1.3335449662162018,0.7425073473427883,0.7236745504264345,0.7716632533352878,0.8039672431503037,0.799355270421392,0.8256443512593218,1.0598640153476884,0.8931664066148896,0.8496945649741141,0.7569314055380894,0.7605261055492679,0.8670055464763486,0.7447158999169782,0.7971591827513695,0.7446210882044458,0.8684486945381186,0.7757876430044168,0.7188845188951514,0.7163061477859508,0.7348938139451034,0.7985337967767174,0.7386220150729611,0.7487201218448161,0.8578670669737688,0.7680857286526563,0.9512286198096515,0.8074571032477929,0.8545756553529972,0.9112714505239278,0.8692128697212291,0.9631513847616886,1.0090133425854595,0.9671663398562981,0.9274334455718523,0.8360310428915926,0.8273001391442993,0.8251271732425047,0.8140856523361921,0.7443324043273888,0.7386516238421748,0.7409220906478522,0.7698221720632317,0.7281913078096536,0.7289288356718238,0.7060852800698023,0.6905328459150128,0.7047758398067889,0.7033630844871832,0.7188577557382292,0.8009448801037291,0.790294637562054,0.9303165231244614,0.9425044185684897,0.9416955408363427,1.0826819423470504,1.1550636774274137,1.0449699491473612,0.9459175574871853,0.97311158685016,1.1014801955539113,0.9851267443505103,0.8868555886472353,0.8107997270057687,0.8111792681815394,0.8640294825877546,0.9752106473811045,0.7976428365451841,0.7952381783559164,0.8073359313682923,0.7959675346146061,0.7942117910186881,0.8151465203193116,0.8254187427580877,0.8012263154479756,0.857114201407277,0.7745061493158223,0.8453616500718303,1.0927219348172947,0.9341438310115878,0.792396658017921,0.7607183297096848,0.8399445253118583,0.7879665768125799,0.8501982748555512,0.8685749231756017,0.8507493368929074,0.8282937184137951,0.7980378631141237,0.8411290666831087,0.9850091118524306,0.9920362486702213,1.2354725899534644,1.262768141521285,1.178926200856852,0.9465090052272999,0.8817088835083797,0.8720929503040938,0.8952263898631846,0.8513615662386775,0.85974786533887,0.8269986184700785,0.9055450020461978,0.8379391452033823,0.9097935928757507,0.8782223812310596,0.8932963443433211,0.9438255781285037,1.005641027779642,0.9328082688289848,0.9113716216071883,0.8938297904355986,1.0076491870347282,1.4258113984143126,1.2412165767009726,1.256932274942212,1.1923857800708553,1.2066522986061181,1.2002542449059912,1.113461204011461,1.1465877995357683,1.1403610182084416,1.123389755213539,1.0963141969906152,1.1991884137442963,0.9481357613102299,0.8819628812701873,0.9159192384797399,0.8592395985051153,0.8811747301618731,0.9279010282655022,0.9585170175149079,0.8997402952840879,0.9083649015117091,0.9653194983984308,0.9349045616540305,0.9845950127769575,1.099836397921677,1.1433837053289808,1.1863850937074991,1.0544460458940934,1.1274767109359944,0.9454827543361555,0.9858297115705335,0.9843341824102215,0.9948681876543896,1.255393021216215,1.1774957130907218,1.3036850951628494,1.00078410504348,0.9573009985891293,1.0401676724420112,0.9950239720271069,1.0130672497465039,0.9573123567267164,1.016073315071563,1.0936267982620076,1.1607344143349332,1.0760256508719168,1.0889782981112655,1.2219771516478193,1.1495437719511836,1.0994068079769221,1.0048432032902876,1.0747802560101651,1.0018993916872068,0.9823715032824887,0.9605686633678502,0.9251608004309959,0.9523871656094725,0.9028115132301583,0.8863445428006131,0.8762374218954884,0.9073798717944365,0.8923166887897876,0.9555174020245291,1.0139558632589205,0.9910617112031996,0.9830602518739551,1.056609080995662,1.2057950379179683,1.0161276031157296,0.9862116432562114,0.9424291260423947,0.8966151410043559,0.9042275834538568,0.9019991900555221,0.8897633334068066,0.8642567559149528,0.8774120510631815,0.9307794343561251,0.9220928209636006,0.9089231995357218,1.0057420585099663,1.1644152666825363,1.0083205555053163,1.0905937579823874,1.1361535310083866,1.3466288953729502,1.2181501440838245,1.1426763703271305,1.2748361536917838,1.2373341485495675,1.177933745059402,0.953097938921859,0.9538019058177809,1.0871017995341952,0.9929772710757133,1.0704308571699062,1.260712002824947,1.3108428940285848,1.2123341765708375,1.2426733961735157,1.1004897433829688,0.8931240664351685,1.0536224435775499,0.9232759356818036,0.8961327326949092,1.1964825173098774,1.3447969550181444,1.2937267715378562,1.612423047559808,2.1592132035446947,2.3041044543745484,2.8163929020271925,2.6931886403398058,3.5568786143471165,3.50771952766515,4.364923409765933],[0.4888361961059821,0.5311966041044788,0.6068189507481259,0.4377729687976389,0.5507644201114408,0.4950531098139188,0.43509119871957014,0.4528506877982196,0.4627639960593833,0.42881304525381864,0.4349837120481096,0.5003392340509866,0.4404296794311121,0.4279522447609371,0.499638670103315,0.4564525243290276,0.45212386972752067,0.4826959743619163,0.5847598938158888,0.5261084638909741,0.5189066234330438,0.5850869706225184,0.6832249455869578,0.726041271010804,0.6813857638307385,0.5899770135255371,0.5308709245252745,0.50073260921209,0.48321229524258535,0.45425155507498277,0.5009729329844301,0.5090342406598024,0.4941848524330393,0.4813966306690516,0.46298502739439457,0.48236089789582176,0.4802884256376676,0.47921376745189037,0.47217820668427357,0.5447323009825078,0.5570439272996206,0.6312673491425467,0.6464232399322304,0.8742253080076317,1.3136360030987337,1.7391892597896879,1.7952808392108135,1.0295528699357197,1.0547680614137158,1.1198795876416014,0.9556803963252738,0.7311270388652937,0.7431565549637491,0.6551016509311423,1.0807004998862217,0.6426423738363316,0.6909062612862591,0.8116447094308019,0.8579293633328924,0.8730253519252867,0.745795009387849,0.6411345869228753,0.5324653274392895,0.5943498819716189,0.6232887510128328,0.5362913658331676,0.7074062318329687,0.5802028494847014,0.7253498790107855,0.6780174537734409,0.8607268875144837,1.069656748138968,0.7653781024159032,0.8713731346082175,0.57246799869254,1.1929308644593162,0.5055091238099542,0.4848129600595849,0.48145309035776673,0.5601123152350224,0.5790315487089746,0.60409830178836,0.8801964493566833,0.5743713192508747,0.6234632160400845,0.5692609069281932,0.5216989215803793,0.5867816093539974,0.4682995316602473,0.5862747301497064,0.49400305563870117,0.6243416174411665,0.5718024396091433,0.4914588146884106,0.4942037763261973,0.5568335383137579,0.6089987759528251,0.4995513505617867,0.5112141754266376,0.6858089484030616,0.47760058264625793,0.7225017250963754,0.49290145675391794,0.5500572608041506,0.6298226837397151,0.628356494431804,0.9124613759957019,0.6349777088745125,0.6312932667261966,0.8724423509095448,0.6426992709373756,0.544917810316003,0.4261647853280142,0.4966499007571982,0.43068208007441483,0.5028549599470055,0.5402718166774139,0.6172023867611393,0.6106948259937183,0.5202572501118028,0.5117864611631889,0.48403560004438,0.5226385672451745,0.47273828316585176,0.44398512763571174,0.5401806046734833,0.6567860262919516,0.5152418735813172,0.5463829025123471,0.5697324395210376,0.5388494312921448,0.6023530951990345,0.5542425394705518,0.6202566190077577,0.5218702982475903,0.5324549993907567,0.8083856665030473,0.5799418211859352,0.5610644216762904,0.5611996651947035,0.6934072616873881,0.736806659460093,0.5806952067116546,0.5282060320888858,0.52670275276519,0.473644186809664,0.4745682905173317,0.4495558797978826,0.4393187309293391,0.4599723354127092,0.528462411564365,0.5386662846972896,0.7006420079337919,1.012814281214595,0.7973805386064214,0.57092599980979,0.4790393894799142,0.5120753578012895,0.4398070513918696,0.5046585458110053,0.48776247266668393,0.4537524141748427,0.53592290414281,0.5323050466186267,0.7168175470347363,0.8330018235512608,0.7011304457148214,0.9253536502099085,0.9411886490203886,0.9072806275246217,0.6939914708025081,0.5908040875170755,0.5616631537993886,0.5511511256313584,0.5026984356635553,0.530605180543479,0.5134217262100275,0.6396342917229345,0.52389821428737,0.5521931609431386,0.5947201729462138,0.5482541881588118,0.5672050579834014,0.5929298118888318,0.6460023894179756,0.7900996040272114,0.7833028066764012,1.0254048803513165,1.2819293515346049,1.1361614574944618,1.0971227951783677,0.8235474875743094,0.7626827043628706,0.7422588177190053,0.6317054973353672,0.6755106573981253,0.6806143874405518,0.6959000968170636,0.7079802942714671,0.7277670183221149,0.7520815812142897,0.764975604801733,0.7015687153992313,0.8007080620886705,0.8483429447429117,0.8451182545806879,0.9780497732963754,0.9781359264675669,0.9597366698552495,0.9977085972362049,1.0705209407671463,1.101509346989573,1.1505240136612414,1.1694707476513269,1.2744419606054178,1.1591135391412042,1.2627192850624842,1.0816384466640385,1.0962624145544249,1.0886496435567476,1.0546647141123058,1.2845187192547673,1.169971683744292,1.5480492212719617,0.9941539666580438,0.998390937407156,0.9685303469707071,0.9316503665431723,1.0068365493294251,0.920360415216786,0.8820497120915967,0.9321550363405224,1.016814916163528,0.8685638027482115,0.8875967638883193,1.0854433703680655,0.9371562044749309,0.9905605834082638,0.8012858179830102,0.7259161279885038,0.7517404731390397,0.8646334824939801,0.8744555318078531,0.9483474134182186,0.9516834809953145,0.8704960693111619,0.8670839680971133,0.908718508974402,0.9101604309853325,0.8931456071659519,0.9698035987290738,1.0092213097961218,0.9956214012918491,1.0181456222930125,1.08957489430751,1.2075095737147017,1.0858704643481718,1.0825867082236438,1.0607143270093256,0.9788850034504974,0.9262152495643996,0.9327768331541916,0.9840486325152766,0.9589984052150936,0.9232349402835728,0.9887451428149893,1.00563670905489,0.9323259472218465,0.9907813104902545,1.2440613212636908,1.0429952216235443,1.0115703299048242,1.0618175807753358,1.1939088798452253,1.0655952265367554,1.0276724456607502,1.1092051564849017,1.1649880428383979,1.2545530832681173,1.001672575020484,1.030355004869002,1.0781708044413378,0.9691817295659723,0.9999678369669374,1.1013415334624796,1.051982690187864,0.9595545223745172,0.7972520315683047,0.6639533281107511,0.671528938313393,0.7822770159026685,0.9239305837258363,0.8746036360659012,1.1792483342851192,1.2150177515902758,1.1909378229608223,1.595009701326817,2.049775353256855,2.241078121038055,2.6806332010243823,2.622123292139323,3.575703120863344,3.601404011001914,4.490178097912644],[0.43394911286407556,0.303623109756818,0.4191111775916753,0.3323620909076963,0.38757049123248294,0.5053653455117205,0.49770548145283977,0.4731872853834486,0.5031631775034113,0.5338150093915661,0.5330378268069592,0.5599227724266479,0.5181253811338259,0.5336115270571892,0.6091610922656365,0.5629702896612686,0.567241786063999,0.6064543974233495,0.6926619252442042,0.6187434000299883,0.6096926859977694,0.6477633945327986,0.7564261475146135,0.7404948690747575,0.7372253646469226,0.6508348300989621,0.5554920602122999,0.5719055964328812,0.5833335319371756,0.5372454454788632,0.6163510626083953,0.5919705665679073,0.5630935114885188,0.5573475942725719,0.530055076215441,0.5745048544214313,0.5471219328611309,0.5392408645276949,0.48393523703501695,0.5259146232476661,0.5435417320392045,0.6542348665146218,0.6603733371096306,0.8508522840849045,1.260642633735966,1.7062789051019576,1.7239417987515162,0.9358149321859576,0.9985791181789307,1.0101480671106735,0.9012880527773957,0.6480762421992898,0.67482035476179,0.6000671748893066,1.07885902070711,0.6419665123695995,0.7103990112475803,0.7872302012400647,0.8882944106738856,0.8507706650202684,0.7931561132070101,0.7325474725850513,0.605714722240079,0.6520178012895018,0.6651790241245726,0.5996809163857054,0.789352564298274,0.6873295672771891,0.8501838231344355,0.7969533005665339,0.9875996344977619,1.1535952150324205,0.8881863190869408,0.977284886686397,0.6965870033436043,1.2844904338720362,0.6111780299964781,0.5820692286771078,0.5609873343930777,0.6083901544762056,0.6372701292704237,0.6343586613971294,0.9180955543557741,0.5866204783621554,0.5897205912085182,0.6015903505890486,0.5808608083861158,0.6211930615861117,0.5439842613534123,0.6270573397688274,0.5934605517133656,0.6965232586613301,0.6437957833171919,0.5750117612034364,0.5849754590248973,0.6119241616959764,0.6623596024049413,0.548522060282125,0.5568698482082557,0.7130895955640285,0.5262954956900963,0.7286374811255244,0.5208317984976449,0.5392233880088618,0.6057981438157037,0.6005714196252739,0.8918414817633916,0.6167494741170416,0.6208326828240355,0.8233852414271957,0.5702085568046709,0.5014340178084645,0.43710156258079175,0.5230607913765687,0.5213914201669632,0.5786387939381221,0.6247584748725881,0.6846002467413368,0.6735495108855709,0.6367291059887775,0.6214939882575625,0.6200320295941694,0.6221526548070847,0.5871006583203714,0.5692823953057957,0.5560937531853385,0.5552993965615737,0.4370975904252713,0.45986862116213684,0.4959758752125773,0.47331462230109256,0.534469486214175,0.4784042427917493,0.5687428294649708,0.4844117778224205,0.49733593512056135,0.8180576260079037,0.5492207436324877,0.5849602335171067,0.5859212348710486,0.7504680113989518,0.7613903394025421,0.6202219005013294,0.5590315498215425,0.5291805704088729,0.5079548658371885,0.5142672287736422,0.46992682954934417,0.46111300239320974,0.4929082817074642,0.5444737342906388,0.5536322226557057,0.7211797109905499,1.0111932761508922,0.7998276619736986,0.5925425303364655,0.5162644171132764,0.5362411340840129,0.5011155017486179,0.5149012462470878,0.48333060573872727,0.45269975865067247,0.5337292566142703,0.5172928749133591,0.7044861944064501,0.7306754336270266,0.642382923235282,0.8583740360688967,0.9019084913423004,0.9033491010059752,0.6572650750987743,0.5518958838306228,0.5455436626955245,0.5232212974551393,0.5081554674374129,0.5121738400123989,0.5207662692520421,0.6569658014604404,0.5323532020180556,0.5367763732036992,0.5548676507451988,0.511811942453219,0.5201486616934392,0.5655441259137773,0.6133371031939151,0.7485058911039923,0.749288767470804,0.9857188029222329,1.2204364397423222,1.0708167132491138,1.0130274749391472,0.7374540314567097,0.6904892932943291,0.6758079392956993,0.5445407934952329,0.5764448056063073,0.6649120467645746,0.6040732890662206,0.6082335913788166,0.6746059604274321,0.7280511655183176,0.7747414509250471,0.6879804237758862,0.7683402963827948,0.8636605994760552,0.8993516936899204,1.0204896745685796,0.9666621318180671,0.9955482205922886,1.0259733414434733,1.0680901067558821,1.079955553499697,1.1539091860025015,1.1271411137901979,1.1830040569809048,1.0683175174376607,1.1681395911186043,0.9868212498761397,1.0367227177172902,1.0326390531800598,0.9841951685850212,1.2053385117825994,1.0934912790789715,1.5567978471651802,0.975139191853123,0.9682468955782342,0.9900361755765718,0.9339907937611487,0.8854684665462211,0.871458114219161,0.8605247060167257,0.8745301830089924,0.9491086343201639,0.8185689781586718,0.8420293710505247,0.9302797015358234,0.8537108178313286,0.9328421586567226,0.7112697780328909,0.7058339798784309,0.7205718264124654,0.8870966103523825,0.9019643225941927,0.9758583193154041,0.9925259050618854,0.8864333154795002,0.9226399011675173,0.9923740671076109,0.9664040812066631,0.9557161804239414,1.0411598995870164,1.0840028007399212,1.0516566210559934,1.0550688203631886,1.1301181402768259,1.2275552715085487,1.0978452361753492,1.086489725508195,1.0654314286878925,1.0001229062928891,0.9680731037053049,0.9440740326915374,0.9726047721138187,0.9401454734685528,0.910410605844481,0.9396933465126063,0.9544698474999688,0.8842078754503652,0.9070744407077393,1.1103828281971293,0.9608913589501332,0.8839996586856723,0.9530305286370025,1.0513347500697725,0.9555518441837019,0.9357764633800466,1.0031885378232195,1.1142123831517523,1.174631723404635,0.9037953961548031,0.9336003940540716,0.8904703241403837,0.9302325753042979,0.9824694255691415,1.0519620320243839,1.0437544016849218,0.970988916582557,0.8755603132209986,0.5790580815871149,0.5310332835762128,0.7112693802608003,1.007640277328554,0.9571023034969703,1.3958952174449613,1.2683053453795747,1.24588556155258,1.7089852614097898,2.1187773266058607,2.308905856561427,2.6884462230573605,2.6623674655465055,3.715548966030268,3.721885788170024,4.6629808212426935],[0.5217708570073055,0.3905604971152095,0.38900439112101337,0.3430886233784752,0.3744560415420637,0.40262779964185874,0.34373057150776243,0.49551427258791714,0.42145854257451765,0.377399201751574,0.4077671849520198,0.5077301667109837,0.3966419088971797,0.3825308945805443,0.5125109090858966,0.45910888549832823,0.40489734627878854,0.46361323044977376,0.5560970148180211,0.4653461239743458,0.4680509285319745,0.4728909572446063,0.6155877152813566,0.6326290629277673,0.5885375997856985,0.5183716863235709,0.4045063104078058,0.4094423918066695,0.4375498753297747,0.43060329922000984,0.4916567530755468,0.5098223661528181,0.5341658230021693,0.4916867232474192,0.4540577395205764,0.4326338501850255,0.4466853317961227,0.41895927857827203,0.3794259461816281,0.41379926083392293,0.38380997338309764,0.4834497113716265,0.4732140755749825,0.6965321300120358,1.1474684754731774,1.61252505498499,1.6357341902658529,0.8130200624747626,0.8754667832878787,0.9070994827116993,0.7791164903219441,0.5862710767049423,0.592028710875379,0.4706696141861016,0.996574744520072,0.5067902513228442,0.5954809696087384,0.6469950249854495,0.7907827437547895,0.7902727530544473,0.6479317355713344,0.6188223673700949,0.5075357593681616,0.5772595751311727,0.5379019803716008,0.470511932561801,0.7202816691315748,0.5797405679572143,0.7643656984220045,0.7070258052641115,0.9302021327595414,1.1502011897656619,0.8329214544498256,0.9083667649644387,0.5873255179264002,1.2694613006133328,0.48098883452963337,0.49104487275777825,0.46837711233843043,0.4730541623910291,0.4994595570379439,0.5435448870424517,0.8859415624177256,0.540203915977536,0.467862313482449,0.446598373768366,0.42588631456783116,0.5678998564424349,0.4132555862407944,0.5554826823728748,0.4911047708089259,0.620524623110987,0.5693599786068396,0.5050836076294585,0.49588790045934095,0.5630335073269703,0.5960386084067961,0.5345912363964112,0.5538402673466617,0.7739384452734013,0.5744102909454181,0.8228565628015445,0.5492990320507025,0.6549906194015082,0.6543516049127694,0.6534536899579805,0.9402109388150907,0.6625934691012981,0.6703283343356278,0.8019172491270213,0.5926504950912808,0.43153453955255006,0.3468777416570807,0.37150176503522103,0.3363960990764932,0.3921956291441341,0.47038586593252396,0.5530475637054024,0.5472218273370313,0.5065496862096904,0.4883399174275015,0.46606067847693056,0.4867519124827451,0.40933394213470564,0.3660834892577023,0.3744360597685509,0.4120026813833278,0.3945122444891279,0.44426930201951453,0.5135856907034108,0.506828339375828,0.597470461984599,0.49214545958014505,0.5451630950834342,0.4580282816289338,0.521509225849565,0.7129064999354229,0.4072267933981236,0.42424019023108034,0.42621911019285064,0.6778117622518376,0.6629044969664577,0.4705294230042833,0.38488126694363206,0.3525849783628485,0.34855021754543075,0.334643659418211,0.37467334227714305,0.38041684900576933,0.45172008465796404,0.6067322428736404,0.6269968081946651,0.8886805690204044,1.2931943392876162,0.8907510725302731,0.710688655108629,0.5539565134921889,0.6271653135808195,0.46996616858985035,0.536668267252841,0.3829471915045218,0.3793632107443684,0.3699226396701539,0.3563650426396959,0.5657059334803461,0.6121755814536667,0.5433380404768269,0.819870209660211,0.8574109785113985,0.8460206700846957,0.5539261986080274,0.41501228997577594,0.41234268508691546,0.417597316957565,0.4006357810056568,0.5159424930045414,0.4756220508183041,0.7084964799522455,0.46291084598554727,0.5635716743039975,0.4273719469409145,0.4709763235761317,0.4827067058329718,0.5064982915157377,0.49342991791883295,0.5750441195321738,0.5835810483857162,0.8383830789483201,1.1523783127233598,0.9528226569009256,0.9321168034460846,0.7575263864760216,0.7049308178822743,0.6956562902974133,0.5611015617388431,0.5760889341205094,0.6528043687705462,0.6463828001739328,0.654262796284824,0.7697864007650562,0.8404385856055805,0.9177248032932643,0.8081717722236194,0.8649233937716179,1.014760542936016,1.0564388915051872,1.1135610364276967,1.1082058071739427,1.2002099891798346,1.2003864133340716,1.246773157957402,1.3154431481243145,1.4090754637965457,1.3667532581666793,1.4237343115498273,1.2848999762871502,1.4110798964186617,1.1690456362165103,1.1961075754349875,1.225983449658941,1.1659736864355168,1.3921936954805565,1.283443667946686,1.7467989597951994,1.1168640904782716,1.122648706089273,1.1469897419845059,1.0716053507455692,1.0340031233122757,0.997881875869454,0.9772606620826912,0.9595364693869628,1.025964588445369,0.8902597390115016,0.8941138436245951,0.977351522601908,0.8914805019838291,0.9391424822039897,0.7692531999634181,0.7920488648279673,0.8312669047475569,1.0309281916768431,1.043362073614065,1.1283089558399966,1.1361041365768312,1.0282646765069687,1.1245957343524147,1.2234783417921002,1.1441069564929693,1.1584904544632433,1.2964173028441175,1.3563954057342298,1.296070035584481,1.3097254319252698,1.4177582489902978,1.4937550744115604,1.3674371804783156,1.3605536239628537,1.3030893014916565,1.22657550596467,1.1696821865393578,1.1341958293321537,1.186839134436532,1.1217876636912243,1.07230576750708,1.0989413353584085,1.109114161084979,0.9920548818156473,1.0185429613366308,1.240358434778368,1.057436027512464,0.9595861839048716,1.0427899154872515,1.1550656026467516,1.036148586521639,1.0343855997691875,1.1359923186351035,1.210264242790217,1.3597126143015692,1.0401825854965605,1.0637317010238072,1.109095445990148,1.0161011009513603,1.0306519864617367,1.1037476134158173,1.0477669089776451,1.0073817004193848,0.9357862968457618,0.642488596822472,0.4813176524202422,0.8046449399630125,1.1506009471252383,1.1557903446554068,1.779920024645915,1.440684064614002,1.443972406787329,2.0194439599315706,2.31976556733911,2.349265711619353,2.8604705790166287,2.9865386327644816,4.183861294500691,4.233624962439874,5.151617834008546],[0.4956409486414696,0.4795438200732308,0.6626934339158335,0.4754724382829447,0.5530569756438877,0.7501011531033861,0.7736390673158914,0.7811145191026835,0.8643041627631836,0.8786985001590863,0.8949459935745865,0.9046647844357284,0.8568119150593885,0.8731059840941314,0.9739977649616807,0.919881886827741,0.8790728939668769,0.9260424311562605,0.967064220841973,0.904311815708142,0.8885735638555881,0.8903348232457952,0.9641331560742841,0.9310284877378378,0.9300481606056795,0.8847551097469027,0.8032718351846726,0.8502292204248699,0.8769560851810716,0.882279016020255,0.9616490540431236,0.9082155875096608,0.9051326816280664,0.91363042597697,0.8764921083479065,0.897375847535137,0.8589192102302124,0.8432690681339908,0.7729074131925391,0.8014461339097504,0.7657614592008394,0.8818616656192896,0.8926104726683484,0.9632159906391483,1.295023498111123,1.7124929361314016,1.6748593025345955,0.9748075767137677,1.0336600029943952,1.036790748423897,1.0170350997131614,0.742289919877344,0.8370629292339413,0.794075598659381,1.3090325394892568,0.9014564944065436,0.9534568030532007,0.9394211771181056,1.0592916460480983,1.0575283067108885,0.9844501664719496,0.9629079389584312,0.8693934789970919,0.895238615756531,0.8872323382327187,0.8553118477367851,1.1086902730456716,1.0199569076119124,1.1144476478654821,1.0961775810927152,1.2650399095173321,1.4376993895116625,1.195216882766926,1.2203142071109965,1.0046462513738934,1.4979147554064156,0.9269495740654354,0.9445870629592069,0.8915848156024737,0.9113861566615101,0.9164481411236856,0.9064681039787329,1.0700052602389367,0.879568236470325,0.8240445836168518,0.8667584229865616,0.8704866668107489,0.9154830496247296,0.8524355200115225,0.9649357793629495,0.9350437428489929,0.9714823539325775,1.0043075774297263,0.956698726896762,0.9577495258835979,1.0065893648134532,1.0239708654705164,0.9272760962260904,0.9114252667903235,0.9564259965933155,0.843363315267275,0.9266248786106391,0.8136730397442624,0.8705019231446044,0.8909112194851718,0.8911243832432278,1.2388908249014556,0.8259814854839259,0.8212615342461493,0.9957615308582666,0.7875505352621043,0.7653194088001705,0.7298167546596265,0.7719770017317598,0.7957336625498075,0.8015836957716911,0.8917090981174717,0.8664568663962074,0.9027560368325507,0.9265996967912471,0.8974376588934958,0.8981673738339868,0.8511287267905655,0.8109360152304532,0.7982086224785956,0.7555277411395881,0.7481484833924414,0.6353451531085005,0.6925649464321072,0.7586120187772535,0.7082305998102807,0.7888299935562347,0.7186711489871647,0.8291290523912216,0.6750662612378124,0.6437713861151104,0.9377812890144437,0.7295916724730218,0.7393743110401155,0.7770262361114129,0.8934278247821977,0.8817243239438098,0.8048016806419475,0.7595395933686688,0.7533865494270932,0.7700813030933996,0.7606541140952586,0.7578876868802263,0.744822652424628,0.7897609274134678,0.7815610528980389,0.8297280853488586,0.9801024411316617,1.214536070245178,0.981136150458737,0.8669621085417833,0.8390070841430468,0.803367888082849,0.791603929761005,0.8322341374628128,0.7461198018341783,0.7348018080919632,0.7522949454633118,0.7616496610126554,0.8944491538630999,0.8363278272273931,0.7485556480241526,0.8743180880082936,0.958373317469237,0.9424778589028538,0.7756857618274647,0.7079328961283138,0.7608022414952845,0.7534817820267854,0.7734896593796182,0.8102928178623222,0.7950731360112897,0.967376636487791,0.8140065294568831,0.8114698884370343,0.7750228832794046,0.7664285729429307,0.7584334271770152,0.760684444897394,0.7682105109497747,0.8805734639400978,0.8940175810469223,1.1601935725492465,1.2625486637202414,1.1277598969271034,1.0970709957965663,0.7955779600561099,0.7890189179862425,0.775776844089786,0.7362383076072487,0.8017382784881236,0.9255310016339018,0.8938962653353949,0.8860723075909125,0.9069072820400256,1.1029763346038945,1.1652930702330995,0.9996355298625687,1.1084567830826233,1.2579894930107252,1.2419812106504466,1.302495748812486,1.3475112464121495,1.4304342977009967,1.3778095405116542,1.4610668670980578,1.5362237978597488,1.5782609165273564,1.5806875944850027,1.6106569362396026,1.4753233220769257,1.612375126945395,1.4147114925144657,1.438759843330363,1.4779343235493791,1.437336654522017,1.6047529953773185,1.5559044039729972,2.055180000130101,1.4031182864992895,1.4365072313634948,1.4370338720835798,1.3905469849268586,1.3465977017324948,1.292215087165531,1.2653293914968533,1.2295914619356663,1.2598711079687288,1.1554848066082057,1.1540294977627346,1.208609188149138,1.109186695501749,1.1913517101638649,1.0439819434426987,1.0696420106893763,1.106948813069407,1.2892366651750815,1.2983394655444085,1.4140436984530962,1.383433207112124,1.2933513870130007,1.3927450367275336,1.492822558858995,1.3758541287719463,1.396594317190858,1.5203341816730813,1.5560631188533396,1.503944361613387,1.5352359064222025,1.6059438670793964,1.628087625151085,1.5832728699778693,1.5892047228968798,1.5573315291248413,1.4989510758266769,1.434951501997223,1.4222824723782144,1.4738131200478195,1.3957344246387942,1.3761319459437649,1.3899790908181318,1.3915859667977284,1.274829297757034,1.296969624160459,1.4705163214186672,1.2872722709662046,1.1899138662574908,1.2941613584624985,1.2986786575703617,1.1987337604374926,1.1912652873615794,1.2525238511166392,1.2692978791536798,1.5371066582381756,1.1786175189875197,1.2434584165591378,1.209927003186234,1.1896459468043428,1.1701733567366055,1.1593497741607894,1.0879362196172109,1.1487900204258805,1.0006972646926826,0.7962393640407048,0.7599294675067041,0.9314026936942602,1.2564281321322264,1.3147855457127067,1.9444643196948537,1.459796173130443,1.536993112184475,2.157663878605448,2.1467740751448114,2.0376483175246256,2.7495966967678047,3.05335015324037,4.151473745520138,4.30439541659972,5.0374325108417235],[0.9176037265287331,0.8085805634174087,0.8949401792457169,0.5821144337959446,0.7278926253120099,0.7657369410342689,0.6897737089044595,0.7606376946789596,0.6210171770298089,0.5787688695945767,0.5925964062407143,0.7016339478809124,0.6559526532793344,0.5587445009704782,0.7396939519199863,0.7229649150911699,0.6324763577646282,0.677932535160672,0.6818157092326379,0.6986777088274087,0.6623231350415126,0.71373137906483,0.7584471981506951,0.7469124061219324,0.75374587082507,0.6705794756364677,0.6358249598393843,0.658841947361887,0.681245752588327,0.751146154520525,0.7617500675468032,0.8227097266547165,0.8127382345889598,0.7952415151496461,0.7742967423023563,0.7492184986463327,0.7772184505508293,0.754061561591463,0.7077679339497818,0.7923688266089215,0.7133713931146853,0.7610428632597107,0.7925521297592614,0.8932314203411004,1.2400833519243875,1.6846985306321418,1.645688736123522,0.9420188233013684,1.0369304483794255,1.0760882928788813,1.072050124046203,0.7931037088812282,0.8883423326731695,0.8170235040619206,1.3509561485758521,0.890694059221329,0.8946176858073532,0.8931925227875341,1.0321701635703293,0.9993906219673167,0.8536816330383118,0.8242692706441954,0.7188729972125496,0.7375399635696065,0.7136292849479051,0.7012178201589713,0.8690361410239731,0.7810582385925777,0.8502515411450328,0.8104414990097555,1.0003839202085565,1.216900157463575,0.9442264101846836,0.9454908377836475,0.7960997551973517,1.3492635632207155,0.7448478422487151,0.7718853884647258,0.7731216388922493,0.8240164532518989,0.8729244681838686,0.9191607196365018,1.121616611609496,0.9509726717040632,0.8640696366419566,0.8487275437849244,0.7944720297311446,0.8590211986388065,0.7202550126711463,0.8608710358560575,0.7691468721999375,0.8468365246407679,0.816870845337571,0.815477242519334,0.789420464286875,0.8368240598410188,0.8229659860134245,0.8155904505778853,0.8248711324091781,0.9872305774240225,0.8460574368073108,1.0282566659515056,0.8581829704852567,0.9904480526611369,1.0618203996595796,1.0725962689883992,1.4865874421371843,1.0484230734155364,1.0301841769064117,1.1899817870453377,0.9717476098004151,0.8651823710162326,0.7272836473699946,0.719280701972797,0.6192361971978851,0.6101905985342552,0.6722120219869216,0.6459318253092368,0.6187285488457492,0.6690835055455413,0.5549324519219717,0.5673224932050527,0.5715820365586212,0.5743139692922987,0.6104615266007904,0.7190763619571263,0.8409776177873969,0.7496633436691307,0.8806277972191686,0.9552211227374198,0.9265820188906,1.0360583267318024,0.9426877241881116,1.0411258405748876,0.8512485425119041,0.7378516819553851,1.095000206640581,0.7861922535521896,0.7078163867663475,0.7233681997786257,0.8095060161331062,0.7790986892985862,0.6580010320776906,0.6405543085638544,0.6600251213120572,0.6588237435228579,0.6493017299401361,0.6809478522063555,0.7410094557593433,0.7542172030818656,0.864781326910649,0.8743956530611813,1.1152960319645369,1.3563579514521593,1.0703848206518956,0.9491021832153244,0.8345423157150551,0.8839213042824545,0.7938909207027333,0.9245538489845678,0.7979160249731863,0.7181212281994327,0.7290519348829964,0.7631289064168365,0.944513457412593,0.8780711062604661,0.8712158343999749,1.0125241536472092,1.089889684318636,1.056517158229555,0.9124357217387378,0.776470227012661,0.8475375507228602,0.8514117535621016,0.8465701602859671,0.9100076487651936,0.809021044238418,1.0305890365033485,0.889820091182096,0.9602921453782417,0.9104197876154967,0.9292371041598185,0.9435330057424199,0.9409952993353964,0.9347880430029335,0.9893678621761094,0.9217660057726778,1.2319215586870207,1.2828087588509927,1.261553252285162,1.238425530910944,0.8784246035662835,0.919759577326105,0.9219241571199079,0.9368467048749047,1.0450592298755397,1.1302516651220347,1.0981550808770066,1.096482520451884,1.1063013801086816,1.2823877527098524,1.3518481042221053,1.1767757250871502,1.2782479496606622,1.4099302072077609,1.3723395920454227,1.3262239819316335,1.47024612847358,1.578183447676464,1.4601037514600457,1.5627044598114912,1.6976760056263938,1.7169455375118174,1.6285303691502397,1.7879566028871385,1.6227860396816904,1.8457097589440876,1.5992741610631198,1.631231271010403,1.6815161890561523,1.6606816736183228,1.9653276516256721,1.830379124347143,2.171712384681886,1.6180105457545533,1.6654530966062469,1.5937048190965006,1.5931071106865167,1.6517485872538362,1.503584257006855,1.4598948376949177,1.4666365169749978,1.5121889255523364,1.3690665927526926,1.3319482146209074,1.4622876736090955,1.3481615406662715,1.3390102432678888,1.2502591773821523,1.2639949046825305,1.3140237241378783,1.454246562647523,1.5082744992237138,1.6751606624729232,1.611831721095083,1.5272071257800448,1.6097052309565323,1.7465304576371592,1.6061307588510858,1.5913069119392804,1.7594805070242014,1.8163602170392101,1.7101354859469766,1.7668129503248695,1.8833804660850053,1.89508626173915,1.7904981947113283,1.8172315647801465,1.7529842442713766,1.7071037125937236,1.6269224230502202,1.6311337026506274,1.6796393895833928,1.5781150434411388,1.5692310324248102,1.603501768126357,1.6036009928982493,1.474846061564859,1.517720614700245,1.7038986879088855,1.4914591059551627,1.417421963595092,1.5377803307035292,1.576868143909328,1.4915003531075544,1.475198758401183,1.5868516183081969,1.5674661891347224,1.7292470755186071,1.4773443250169411,1.3984281884500247,1.4098656220225112,1.4463036232805984,1.3733439052723686,1.420790320115912,1.296257489816154,1.2322896548611808,1.145312512127138,1.0076889475825985,0.9851429894836913,1.112511712050484,1.3169358719789224,1.4080706946049653,1.9740367290920613,1.5087966047262233,1.612440881173952,2.208268387622649,2.0491896322805303,1.9303358791757397,2.72939194183568,3.1947077206527266,4.1280606130469355,4.585450907967854,5.181605732094654],[0.6268963245656273,0.4749777333605438,0.6020231112742352,0.4391994699111251,0.4633746826915575,0.5289214834886903,0.4427585398739855,0.5883882960105273,0.4366313144289123,0.4083764044795546,0.4747853998882947,0.571580540605306,0.4964893334713899,0.4503690636851829,0.6541863333723359,0.5948087854314172,0.4867449315181212,0.5407742168233732,0.5396003082674514,0.548645684392772,0.550918101561851,0.5692599487503021,0.6395675838831199,0.653204141019363,0.6492321866762945,0.5690672005540895,0.49531597610429684,0.499457580774887,0.5178802353678144,0.5858749983834747,0.6396486729444832,0.6839907023454921,0.6835324263689475,0.672040321921445,0.6421599185104834,0.5906730091551802,0.6277685470769008,0.576351060303256,0.531560053695462,0.5601163912350263,0.5120604174654723,0.5706757806451842,0.5582395198459491,0.7318047917895814,1.0933197772941,1.5536154129420123,1.517812972082516,0.8359957280099932,0.9235698186361643,0.8766389369495228,0.8248153467141923,0.7494276994558048,0.7186540248004099,0.6309139834804152,1.1516860086850256,0.6714983788736826,0.7023402648486704,0.7536777953966733,0.9268855349819821,0.8367282384573557,0.7069849804354796,0.7791231063017229,0.6891563753347364,0.7357771152291037,0.6357261339342435,0.6301182784823507,0.7336565906947811,0.6184635961373254,0.7852593650139977,0.7247690922672329,0.9536725297026982,1.2298575835247731,0.8905408659988728,0.8871662634585046,0.7316514766976728,1.3912989124821562,0.638560428566624,0.6359929254856548,0.6361721645157742,0.6525869468396109,0.6874123361325156,0.7393770758796027,1.0957796025340505,0.7811676906814451,0.615881058668525,0.6352221838710125,0.5903996393393225,0.7282144992950915,0.5907821700466803,0.7323036713627782,0.6510980360839502,0.8146359661000814,0.7089599832950003,0.6946169787996883,0.6774287129617453,0.7694090446088178,0.7457842988831177,0.6853270033302032,0.696538543966738,0.9157647738290156,0.721403212043037,0.9327265852899153,0.7131453970379789,0.8139445347591479,0.8275028953655859,0.79879392019447,1.1829161952729281,0.7834065492995638,0.7924768816042399,0.9586017764812834,0.6923291819698971,0.5986093983968928,0.5050997204577404,0.5221589547783096,0.44284247212029304,0.4297460918699517,0.5111302837770364,0.46230834368606527,0.5037347024133741,0.5604261608487601,0.4522750114750443,0.4391350251571774,0.4172179279434682,0.3848100883297402,0.40684299280980557,0.4466298400321769,0.5123995320983946,0.5182072819971302,0.5788525483560563,0.6666454118488341,0.6314454756189447,0.702810451585106,0.6316705519530315,0.7296179971997031,0.5977791133456435,0.6329796945913064,0.8143005988583162,0.5003538956260474,0.446243573972313,0.4479923272010309,0.6562453516796276,0.5934486863220921,0.47703907150779834,0.4582601441148222,0.4641378850253485,0.500494751942512,0.46247571362243833,0.5304914500693273,0.5451955914983923,0.569148572981578,0.7312009541263889,0.7317146881677208,1.0436244959919896,1.5121612814091567,0.9993042607210336,0.8407472835100062,0.6971066995498844,0.7643222688846155,0.6390945430746683,0.7194828285479772,0.5523321184764136,0.5607181815557827,0.4736620085318945,0.49136124042997814,0.6476215750659493,0.624813949892558,0.614912552907325,0.8174758662942274,0.8894631608557791,0.8709696956181834,0.6381659627434453,0.5272252061664016,0.5712101536818232,0.565971958145836,0.5880200136691777,0.7080187245275799,0.6518363075241248,0.9137240512556937,0.6885634024049994,0.7805066646212222,0.6130964392029995,0.6593373001917548,0.6640081024422114,0.6544883521856601,0.628667295017997,0.6391447341204218,0.6085680562093967,0.8806018083581211,1.157367650667533,0.8393677251794285,0.9094247965122961,0.8232460383487744,0.7825693504483432,0.7652181662990333,0.6716082093525999,0.7207508296163163,0.8453013832449112,0.8109221324121454,0.798418244650438,0.844919276528997,1.0484033270157826,1.1498654255182903,0.9602083736500708,1.0418959247361204,1.2117161302513288,1.2022756173254856,1.1954894258756883,1.269575782637565,1.4172231498035517,1.3101001508519923,1.3859099631915117,1.5267223847381333,1.5763410376615905,1.494537871662043,1.624745956166493,1.426160731131996,1.6728558421509374,1.359863378012737,1.4082475802796819,1.4840152768527815,1.4469779975912629,1.7799585379696865,1.6098292814347201,2.043850524556303,1.4009227347101236,1.4618076518149472,1.4260257445197115,1.3808485702639004,1.3601026165173244,1.2536330732620815,1.2206717703783592,1.1804246167780663,1.2163882280697857,1.089282501871138,1.095946989940361,1.126848149362504,1.0286849082886507,1.1141747071260388,0.9583661353197034,1.0060050085128562,1.063903313006776,1.2695125136113514,1.3286573683862444,1.516866507338708,1.4742525684659236,1.3264250742146266,1.4606432409301784,1.6304593488463088,1.475201381101677,1.4284674751744568,1.6230291436938333,1.6777976406931856,1.554764014287201,1.626269195144219,1.7698602269907797,1.7777752250407322,1.6670710919681604,1.7039116668560492,1.6088927580882426,1.5582755986305419,1.4592777800232173,1.4459253554011238,1.4999660883237174,1.3713995421957412,1.3519793865989724,1.3674329848501166,1.3634026087293483,1.2170678337369387,1.2504356324229933,1.437564494850303,1.2221023622308937,1.1203879115991935,1.2403191427574225,1.2984992218056925,1.1858792932134858,1.1670174980919585,1.27097028770698,1.291600863627077,1.5137207067882112,1.1788680707734727,1.1544952137770719,1.1714672762846154,1.1372266119348773,1.1162172669167987,1.1558142947791414,1.0543299807495015,1.0468333565262757,0.9661566517423135,0.7264888031310524,0.6267891488769615,0.8895916735725606,1.3221018520446006,1.33080600731833,2.127289547678659,1.4866629256186379,1.510583222815093,2.1425450067305554,2.049596841888138,1.9298912060841433,2.6339183456245276,3.0855745189467356,4.168443085419943,4.676170763474724,5.387290418072082],[0.5921842159026357,0.47798334498251177,0.5185117019425853,0.4427159536483412,0.4200981355398474,0.4603709012173033,0.3631253075852562,0.4635652274328641,0.35717031436779906,0.3470191048895559,0.38197667113072803,0.45721246515419445,0.37518652846885314,0.3673448726967855,0.5447317578890912,0.46456669076012463,0.4181761584703197,0.46959122056169134,0.5205401416059696,0.49126032667718844,0.49738321141186986,0.5102385530007513,0.6109936602078052,0.6190124778992476,0.5989923741489698,0.5241228917816,0.41821121955242624,0.4205693976347519,0.435858436635823,0.4635052336019973,0.5221579654537845,0.5500978564092841,0.5358909670805206,0.5328967267246532,0.4872619937879154,0.4687647616028771,0.48683533229023007,0.46250108243356175,0.4090799056373433,0.4340651456270003,0.40868694519089005,0.5186432001103599,0.49139179033301195,0.7147499104675353,1.1219219138370056,1.5846213296766891,1.57747320517393,0.8359219466687677,0.9285374767636744,0.8922900094852255,0.7741524166861479,0.6877553150990291,0.634041919495392,0.5018526589585883,1.013864382486853,0.5467787335227567,0.5994310947134638,0.6818584024885851,0.8513432954195965,0.7652957821797123,0.6611261709207267,0.6722476100312144,0.5559200187714303,0.6503449414118725,0.5982079928632853,0.5267388876250781,0.7099468256048695,0.5806837298373267,0.7415049853575224,0.6865962097477377,0.9148845858502166,1.1878543839095903,0.8433838466542266,0.8814129616592821,0.660375486650374,1.3607474498868946,0.5501779959196176,0.5111376708131855,0.5090426640844068,0.5524007603447156,0.5614628088441729,0.5911448546641459,0.9782159165616454,0.616114686884421,0.4942218567980713,0.5127376016154157,0.47067587062694005,0.6015726282927722,0.47325908283783225,0.5979823391798988,0.5288045959315931,0.7120578619122914,0.6021770067174618,0.5457113879610173,0.5323256822479614,0.6178914616266563,0.619484089454623,0.5282121758406614,0.5342887963081462,0.7334840394233427,0.5530120849703034,0.7721409599283579,0.5311661355382555,0.6319530044203502,0.6725640936239674,0.666761342524248,1.0199089548070115,0.634419564044999,0.6506824993651634,0.8554354382647794,0.5778281030860203,0.47863620183170624,0.3864686165176951,0.43464282370275703,0.3685775548597839,0.3766211740760249,0.4431729418711123,0.45944432105420924,0.4898730839106489,0.5012974310202757,0.42585488129311194,0.40571250971743844,0.4100141976338836,0.35528378485517464,0.36036501266052495,0.38949778358853243,0.42871894484479095,0.4040417260420672,0.4677081411356335,0.5523927799467198,0.5232878816239227,0.5943892620204051,0.5080693722237868,0.6099700304641476,0.48628534632247444,0.5197677898442505,0.7544509636050681,0.4317831522684481,0.4005966786294751,0.40736186346978903,0.6677535800690265,0.6016786402766771,0.44980874096251894,0.3880147814644008,0.36957141490196205,0.38292938201467,0.3616065610244717,0.4066069078839988,0.4184227300361743,0.4488930348497756,0.601746461502178,0.5770380054631863,0.8708804575911682,1.3850111427434983,0.8598823506230293,0.6485776978977174,0.5303341101316535,0.6021034148695298,0.4867370746405836,0.5653197874302737,0.43533303004719537,0.424724690193836,0.3777334206247287,0.38879181516339784,0.5580309517967071,0.5871447933438779,0.5434551507205074,0.7910666654147722,0.8297694640995341,0.8260810466238632,0.564739711536432,0.44350401760452735,0.46096146941169164,0.45754660387562274,0.457612225264468,0.5445941132983844,0.5079974382083069,0.7386364071835153,0.5342125665205149,0.6076328303255082,0.5005225538485932,0.5093732147197693,0.5336307735780104,0.5382531012310127,0.5375161295189294,0.6056710759493682,0.5836838140372745,0.8578209364034745,1.1575604689193766,0.869986317181166,0.8890461920881791,0.7489042811275181,0.7024436278779571,0.6787022434970107,0.5540406389321982,0.5866648740095215,0.6917208530930752,0.6579037343954003,0.65798557849658,0.7317739631234333,0.8612525363839779,0.95885706283598,0.8064206773007826,0.8823775113246639,1.026553061261567,1.041612018580063,1.083030635313376,1.111783696455322,1.2263626661989224,1.1745572115801939,1.2453820037525243,1.3553326223370645,1.4270643442215343,1.3755296103451486,1.4733459668270266,1.277030329113809,1.4872255382843322,1.194351544974371,1.2350319832747916,1.2866593520722962,1.2370707968111885,1.5652735148086057,1.3838385005455338,1.824145749891436,1.1777804971546675,1.2140536807464728,1.1952623606561568,1.1431747157332075,1.124030747619961,1.0390793187168155,1.011702224243298,0.9868842633084313,1.0500567579704712,0.9069347152825314,0.9303702014874662,0.9833787998536362,0.892308283423539,0.9689305788620055,0.7909172252935264,0.8111555847946715,0.8646619723690341,1.0664651092990083,1.1276610780270466,1.2722731035992576,1.271720074502242,1.1239409830344322,1.216607219578911,1.3885293248190191,1.2778750344752918,1.2172500747388628,1.389641628338134,1.4511887950369624,1.3483647530941734,1.3973844679595913,1.534924187066222,1.5711984081923531,1.4540813057616613,1.4724487503590387,1.3859762004786098,1.3167407944072662,1.228397294696065,1.2069503204337133,1.2659279000538026,1.1714389098244995,1.139957590564644,1.1571669410117897,1.1649725312525125,1.0299927449982293,1.056998363617869,1.2677734226679975,1.0650967456203957,0.9712582681026656,1.0640111176025175,1.1687935272843646,1.0544339360227524,1.0434646769412192,1.1509692425613502,1.2074385987020475,1.383019816992228,1.055199131378914,1.0380613851477936,1.0611077774426174,1.0312064297317856,1.0251911789996098,1.0923151131460782,1.0149393627739656,0.9607410212705026,0.909360843165709,0.6232390764456701,0.5456292752602087,0.7876333890306331,1.1953947943050118,1.1618453684137129,1.891981322621661,1.3588789795216578,1.3695787079239254,1.9982735540900631,2.0605437713010843,2.0083858380644894,2.633041629221218,2.9783968166491097,4.136636010413923,4.508818922682805,5.33933155973745],[0.5910174647888763,0.5288811096323488,0.5388481590661773,0.4393612201692326,0.4057252790559371,0.4186509773419869,0.3059167665908693,0.43589827253287583,0.31008604097728576,0.2949972024309773,0.3336952480857136,0.41942638684234473,0.33313943907770155,0.3220343473581443,0.5242543631501527,0.43832775327472057,0.3881739947141662,0.4411973650068813,0.5143969657199102,0.4647528267784388,0.5032054073764315,0.4965709901473891,0.616948107230251,0.6646783015250985,0.5862242210048857,0.5367006738833929,0.3993671120387852,0.377872800042312,0.40274853632861723,0.41751887480751027,0.49421254777867873,0.5125432054370752,0.5087571354664377,0.49476287277771175,0.4464277756144442,0.4294615494655467,0.44209268104849797,0.4110827610193037,0.35527446422297393,0.37113160959672836,0.36840026740478904,0.5078901659207185,0.46130812959804557,0.7104344462500474,1.155944659236864,1.6065532222671248,1.619986325505892,0.8692902218480761,0.94966854873373,0.9292971083285592,0.7372522757636766,0.7086478816138392,0.6597457358028437,0.47100519435541344,0.976373347092518,0.48762157869344086,0.5262615305190028,0.6702779875443752,0.8380921709201683,0.7597061684560704,0.6468369025651451,0.6657935589905914,0.5909374496608448,0.6907780157152181,0.5720922001294239,0.5264808326966386,0.7333843586350313,0.5771115181208737,0.7623727275301152,0.6772059419247084,0.9211309453633956,1.2225249048306264,0.8380488607509573,0.8901347941521515,0.6500333167909583,1.428296065023694,0.5208744979219401,0.49348131741184126,0.4807262453241272,0.5139548108585772,0.517082871945141,0.5496257748936935,0.9546987461787859,0.5814727025123729,0.45284006057572956,0.457052327764463,0.41386947627604503,0.5606407428175141,0.4354566151436686,0.556405370159512,0.5095730502530301,0.7303805325717192,0.6018261561821787,0.5283128049696973,0.509515273317898,0.601594126750083,0.5983934268227177,0.5004003929828141,0.5102476695673169,0.7629210098926346,0.5309560123912782,0.7688982324902537,0.5158925862738458,0.6122767849892361,0.6313038734310794,0.622841966077961,0.9815958008657489,0.6138081031491557,0.6338382960474234,0.8336104667167563,0.542551164840086,0.41588954155958974,0.3229187981972988,0.37172625102696694,0.31942790030921875,0.3081197953286222,0.38377213425594603,0.4454974688174976,0.47058905193467215,0.4584220569758213,0.400092626131444,0.35236234942364747,0.38257767157504213,0.29158691083889676,0.29720025905791103,0.3377202963842758,0.3675311689031794,0.37407010750248854,0.4151456561780257,0.49743212169098905,0.4820574070447729,0.5517992785218259,0.4606428327432152,0.54594472299649,0.45111340789808746,0.50795351618411,0.7200158026293898,0.3827764641792349,0.36423676435938496,0.3696190781127593,0.6912694530524305,0.6128246390304818,0.4314106127036929,0.3343747753924385,0.31309540416697335,0.3273764897446574,0.2961011373006197,0.3534986545036076,0.36373122492703225,0.40400125263712555,0.5836493232464699,0.5823984120155753,0.9203740835839129,1.5488576841908122,0.9161806118570133,0.6780217338499777,0.5128671277924983,0.5913468335740535,0.44780470971651704,0.5202244706265132,0.3806454423676215,0.37008952580120996,0.3130715693919287,0.32287095740178046,0.458935913227986,0.538032726194741,0.5183694494041634,0.8182415926998541,0.8296412465870742,0.8239274763828958,0.5298157421605154,0.3906376732171867,0.3824573252505049,0.39582432982455146,0.3945085629215846,0.5006762625192372,0.4716166013055704,0.7143279864706487,0.4867635329662691,0.5711209156327848,0.42600073219205264,0.4516105969518689,0.47342720276057687,0.483620306748599,0.47427854569886474,0.553390767557362,0.5477021738061632,0.8075577836477399,1.19276807683363,0.8733240611572879,0.8880081154947086,0.7760407146960456,0.6974453743542244,0.6736789317053345,0.5181678257554589,0.5530624161639457,0.6535100435739747,0.6196944471746264,0.6296304178006856,0.7130711054001425,0.8495770566056168,0.9567538358985483,0.7914941754944997,0.8700340361909477,1.0404281562254312,1.0570963547239502,1.069894487222263,1.12878728794391,1.2796667608522116,1.2024698404885916,1.2736712249614004,1.4279047158704454,1.5025313879410587,1.4048261992659976,1.5446764326179605,1.3246888246968898,1.5725664404388675,1.241661545888195,1.2736157009446576,1.3579357135429042,1.304721398604928,1.6257034417665357,1.4716993219008419,1.8897648938585279,1.2276850461418145,1.251613655871384,1.2207063910164817,1.1533026240178015,1.1516197086801334,1.0468514324647387,1.0108068138311186,0.9939533124404338,1.062743032427588,0.8992118129299457,0.8895405640635233,0.9892076399804278,0.8914457013029816,0.9245130343507721,0.769953367691795,0.7917061981311209,0.851178009235161,1.0725528247594138,1.140104711265416,1.3087793075794554,1.2966180958016844,1.1348023498671613,1.2652858954042792,1.4488615922826626,1.3084943508113207,1.2591900429820373,1.4715082603282434,1.5384103512199514,1.4165372204907853,1.4974204081926967,1.6667314144554035,1.6979532172386944,1.5693078151691362,1.6054123478330626,1.484987867298909,1.4085623578415947,1.2885030881800659,1.2661705964056313,1.3435384143761986,1.2166882166966464,1.1712744271970892,1.2003604268903576,1.2038598958539248,1.0352783961839218,1.0778023679855402,1.310818222146436,1.0792801122657811,0.9743408330584169,1.0855135553728532,1.2207024859269386,1.09018231324971,1.075839613050376,1.1915448240490853,1.2355242300634965,1.4449088094649716,1.061437550543909,1.053734551844278,1.1023403834210344,1.0074079396487654,1.0049821700708135,1.0973547567245185,1.0257474261083832,0.9480932366202727,0.8956336536899486,0.6023451415023919,0.49741827712527464,0.7669741853013975,1.2027117996046586,1.1809776208877598,1.9360907118258461,1.3855649012069584,1.4070871884513052,2.0425936324045884,2.0654618163966063,2.013026346310108,2.674866129999043,3.0520960771340286,4.17495134884962,4.642137452979245,5.4425888565689515],[0.6060281850596597,0.5148340150693732,0.47650134525169496,0.5099759508143693,0.37460750120037084,0.42247089423399503,0.28925852974316596,0.4081970781628537,0.3282291037255185,0.3094200706842515,0.3536839995739153,0.42408293868208513,0.34203830209930985,0.3426644895716271,0.5267018621781551,0.4501840123334969,0.42493785113556,0.4780825683300516,0.5614328586291114,0.5087208987595948,0.5547851082735972,0.5447415269459188,0.6677922570581524,0.724329400119985,0.6361667560525845,0.597855130963794,0.4589678223567331,0.4239506151188897,0.4361391282876914,0.43884420267140667,0.5019506759374448,0.5162112808519241,0.49983730043582664,0.4906438064916724,0.4524638499702666,0.45503368847978154,0.4544570356778031,0.44449452789636595,0.3910219328426527,0.3953229131465778,0.42072494006824224,0.5612267570648815,0.5166286281550333,0.7497155335560001,1.1815071602143414,1.601519646655291,1.6277165849238775,0.922121972048905,0.9869290719925119,0.9755684282144224,0.757301510898504,0.7907779694824529,0.7126541978182981,0.498076602379939,0.9779949535903323,0.49816188853401894,0.549982327275205,0.6991758247676246,0.8380060036409941,0.7918975506551004,0.67976386087056,0.7010136234326997,0.6434698446149901,0.7451639160204458,0.6145935918880092,0.5737591567225421,0.7667150019278085,0.603593411133436,0.8117687989524172,0.7035476441939423,0.9509117243573327,1.2480840414470682,0.8566148663926013,0.9251452191062949,0.674966479061919,1.4965190364630727,0.5485954667440119,0.515198765131356,0.499150276434981,0.5342927142022896,0.5216190822517063,0.5703140386837394,0.9310715267252785,0.5386102610483514,0.4754705144626643,0.4557971488502218,0.4477982409916509,0.5427245767335233,0.46739143367855895,0.5538333706689005,0.5299400903467433,0.7568274108799207,0.6164436883029683,0.5257605970685769,0.5089221011646486,0.5879428136038823,0.5887996475910245,0.4887444019676443,0.48905318786764335,0.7361502971827172,0.4885903459682842,0.7043250324168836,0.48200547445866027,0.5538240864364706,0.5629941711335532,0.5648999516096759,0.8816296279788973,0.5353254438201713,0.543872519063207,0.7799249357632344,0.46410044048762955,0.35741198543136,0.30260423710548384,0.3596984037611007,0.3566779975078448,0.34444622670346925,0.4124167503482604,0.4610953465772912,0.5249769513944258,0.48807242657971966,0.4413518829652994,0.39192225635550326,0.40869838879103704,0.32231615327108865,0.3125714059946556,0.33297030734937333,0.33457905940347193,0.35658948005306196,0.34730427523868124,0.44317157645018757,0.4231926134060812,0.45829822819268395,0.4164159314129735,0.49707914935775616,0.4323066487677637,0.5207642268903508,0.7101084438318616,0.36936801016454196,0.36549390390919323,0.38767481534719417,0.7205772367922486,0.6193691311158072,0.4727299369061996,0.3859148802539892,0.36223282874515145,0.36627643120157133,0.3389756682867093,0.3673062785506392,0.3488483445755356,0.3860996512943681,0.545525594625781,0.5559879113723583,0.8748549886626885,1.6412292862152098,0.9486690479637784,0.6448630773893351,0.4823530213819265,0.5413647648485861,0.4202756266173369,0.47631120688108275,0.3737881026301208,0.3740350130783706,0.3405013480076397,0.35504639110446373,0.42789120818011,0.5355820649418482,0.5170705930450514,0.8394872735789867,0.8101079585874258,0.8171452606237266,0.522592122573817,0.40124713777085125,0.3800873429885338,0.39144457502745966,0.3734264846052046,0.459912017145758,0.4535796028832883,0.6768010014784891,0.4583865738880883,0.5320410433861307,0.3975234661699019,0.41831973074793943,0.4248234760088592,0.4269711489949864,0.4391205143271216,0.5617954961094083,0.5757853142688627,0.8008553416738878,1.2334928692512894,0.8873935903509065,0.9193838356824536,0.910556061815617,0.740045587964923,0.7035454170314518,0.5180413971564385,0.5081346351514907,0.6212365957440598,0.5272826314678736,0.5461503597986718,0.648992748419394,0.7332363252218989,0.8491129473533147,0.7064680092952745,0.7787335274422335,0.9221028651204584,0.956034162141768,1.0199525611748725,1.0269942366357454,1.1442629707690601,1.1135247796033276,1.1854532859123472,1.2987856938107056,1.3819488686476726,1.3398543044348934,1.4470876009583362,1.2329058051945876,1.4586821950936906,1.133579416989902,1.1549163508689348,1.2193198229583884,1.1486653699188794,1.5002367804619399,1.2883604814770768,1.7360780059099576,1.058566357353879,1.0789099182031072,1.0646709811568165,0.994632756081116,0.9726248764888171,0.8952371020747747,0.8670945183572922,0.8481180675898488,0.9289421281599388,0.7697446802011472,0.8184167814612169,0.8682260658910502,0.8167153508192039,0.860980691022663,0.6665054399951467,0.6804005065216514,0.7236882885648742,0.9590628219404074,1.0397828248056475,1.174112157935844,1.2075293871235198,1.0190757381112436,1.1152133349946307,1.3224157993224936,1.1938049795592007,1.123109567900038,1.3133678213725204,1.3879572358017371,1.2692432011544075,1.3299945929004637,1.4981664554973708,1.544393514244558,1.409450351787787,1.4312534595261743,1.3218944573180862,1.2335514227829085,1.1271029499432448,1.0966445368119309,1.1708665574106834,1.075510864332585,1.0189917135441404,1.0465780733525478,1.062928496952761,0.9136217481590522,0.9403531596812638,1.1806625011751677,0.9821380890614806,0.8852207969000042,0.963489348764538,1.129348313663181,1.001898746185051,0.9934167181119454,1.1313964795228972,1.2006130608098056,1.3446964288615446,1.0079068165888458,0.9765381323248401,1.001683741770464,0.9628126133814793,0.9627170248192938,1.073173610561206,1.0311070759221486,0.9227464940621054,0.8557286856145427,0.5417397990357813,0.43182005088214864,0.7361938163310939,1.1545320381658295,1.089709626810772,1.8436939953006766,1.274875016393635,1.293254821159458,1.9028988230855663,1.994421688168368,2.027162895107707,2.5354127555308223,2.878874822298506,4.0837191177752405,4.535844359479572,5.5501065922963235],[0.6440682130037898,0.5324800904303649,0.47397663972610554,0.5366011071520673,0.37226819384546433,0.4038751647648234,0.25847914554809753,0.3766688768704559,0.29002702089935756,0.25584591901125026,0.2903153863876957,0.3626135126985355,0.2810458786033139,0.2873219811016585,0.4624044549195406,0.3758791097027095,0.36687071687489886,0.4132291967050934,0.4977016884447115,0.45198793940695825,0.48523563490009736,0.48516107875794573,0.6089132370703709,0.6565942654159681,0.5950516877595717,0.5354160652949682,0.4020811336907699,0.36552330406131217,0.3775885143492235,0.381248813930335,0.43222326106476117,0.44953931485811155,0.43394768219116564,0.42275073939353874,0.3824155134702522,0.3899625599360621,0.39534162435432213,0.3901198439917166,0.3372521241461369,0.34812488342791487,0.36455021567093676,0.499227251363965,0.45946445714139367,0.7097088797671283,1.1609595450788566,1.5938420714920416,1.6183009493963185,0.8818972157106459,0.9487634310797954,0.9416493511622733,0.7326609632876421,0.7396043755532092,0.6568670861026666,0.45369845764582933,0.9485126139380581,0.4535580169147257,0.5095644718787435,0.6703116062776053,0.7936115388782018,0.7499718923173982,0.6411248173964661,0.6441719883961378,0.5603355274623011,0.658552809849934,0.5636867749629113,0.5082335823069726,0.7038772779429073,0.5389176520467879,0.7373447715167054,0.6434441081783605,0.889403982944116,1.1630997951155846,0.793200269037819,0.8632922011726321,0.6060249166665207,1.4154026196440943,0.4883201560292195,0.4382340551958152,0.4385295403457217,0.4725005365691216,0.4616808959512336,0.5199275397761499,0.9129592467466195,0.48642970596409185,0.4355882285952806,0.4149491562096921,0.39278152803064226,0.5070026564346022,0.3967252571435408,0.5007053350121107,0.454843074619858,0.6709405113409566,0.5300145991183541,0.43476375550904034,0.4264050265908176,0.5044727571502579,0.5161941628672438,0.42448571635160365,0.434588729831159,0.6918816807215696,0.45257547098094764,0.6915491752105614,0.43547864182480733,0.5248230243184141,0.536145842770505,0.5381439244281614,0.8406074143048727,0.5156381156022897,0.5220707872262031,0.7663205764181225,0.44582033554073813,0.33689809097008866,0.27187664603269446,0.3356294036960924,0.30026891616457424,0.3019518735561351,0.3723218517181552,0.43534420721496153,0.4637954817824946,0.4453925584167639,0.38658490621137154,0.3422460184057063,0.3669286916277654,0.28780875031388764,0.2801835913094731,0.3116042388632614,0.31863230932394504,0.34616035345639456,0.3349530494955617,0.42448010063293656,0.42107916692611475,0.452822907696924,0.40539208601166976,0.46287420231180193,0.41655072806736015,0.5100410177105358,0.700026882174226,0.35982546420682626,0.3473883918854204,0.3590733019165471,0.6911578130534279,0.6075982952915081,0.43099640825707525,0.3401540459944765,0.31269623988838763,0.3228656578385722,0.29223002024158434,0.33528646758703273,0.3105513168449111,0.35343705202788606,0.5209325031755411,0.5274984950142778,0.8126646428624548,1.5037733936712623,0.9136351905919278,0.5975619383336274,0.4424253827432251,0.5051909232898718,0.3808860075411951,0.44494428797549185,0.33846145946680767,0.3359864438608863,0.29755636212693515,0.30658423433869536,0.41273606251271383,0.5171630942000014,0.5034424288071339,0.8279594236062913,0.8114010217882485,0.8152538443765266,0.5104300533378561,0.3784740140824015,0.35257992822462364,0.3551242713030564,0.32895728937792745,0.4224616959391738,0.40754128699057734,0.631529880027978,0.4112763460441705,0.49057892866878927,0.3673223794095753,0.3860529502541082,0.39991657439568246,0.41365999920536267,0.42542183154350616,0.5388364562557763,0.5454558036197704,0.7749413251441544,1.1986254492904276,0.8741036557045625,0.8990502986924928,0.8806656492592595,0.728538227908455,0.6946279603728641,0.5081175199854993,0.5057852735059821,0.617447220938968,0.5194816618277512,0.538402076876048,0.6495477321582738,0.6991247332896012,0.8036361776667563,0.6808183650683409,0.7502322488521898,0.8731997857353195,0.9122935712099012,1.0008773038972776,0.981714949924817,1.0678960679712644,1.0657606073049244,1.1340908288353304,1.2156803539254437,1.3041393528455363,1.2849514724746192,1.3692108337617588,1.1775902263647,1.376520036958547,1.0714871734917686,1.0927368522305367,1.1366949887789288,1.0651388733906273,1.414584921309659,1.188286182346692,1.6430414069705552,0.9815362314439672,0.9976952915586145,0.9947907289248828,0.9241564519315679,0.907589530505372,0.8408227723714475,0.8171075307065951,0.8085642283698633,0.8932501112815638,0.7395565044330693,0.797687994774227,0.8507937807411418,0.806404940852957,0.8561273654072608,0.6488674793378574,0.659318947443117,0.689427711077166,0.9063309227922485,0.9817016008555755,1.0907608697789508,1.138515750260132,0.9553556107238637,1.0260756852682331,1.2208301314684915,1.1186621120642948,1.043430804770863,1.2039194137321683,1.2756140462446963,1.1796017361796036,1.2180190986331947,1.364394550655084,1.4296782463964302,1.2977150774757733,1.3039025729872287,1.215509812279035,1.125505479236313,1.0364225374189675,1.0072335221228566,1.0689303594248583,1.0019589879707764,0.9483947086736286,0.9728902827479526,0.9936447058789503,0.8667186791992064,0.8883278687490869,1.1227636345504362,0.9460191157410648,0.8633799518236536,0.9225501402721504,1.0958166897015544,0.9711374800335976,0.969034590840546,1.115559369809528,1.1961585252809557,1.2880737332089163,0.9859090952275957,0.9437214230319808,0.9562037372831039,0.9577516680699376,0.9576912426841417,1.073922914441671,1.0357631946010681,0.9222484201456793,0.8547341955549628,0.5392773357695284,0.424015625427692,0.7375919962999421,1.1214037932414291,1.0416747574493876,1.746087216804988,1.2484166817280669,1.2448669014252522,1.8347764434776972,2.0323215587340564,2.092596149281133,2.524989233916616,2.806677703867527,4.035617945339629,4.393839091100332,5.451002699560928],[0.6701170275202457,0.5918880205201247,0.5049063838295468,0.5499654204466131,0.3689566614650777,0.3700597655557094,0.2696119425992607,0.35530282057963924,0.33778752718296867,0.28907756846969695,0.2869570707156994,0.3622932159749186,0.28430212264479277,0.321897265956442,0.4479250799836649,0.37869172729724154,0.40238188196713803,0.45418398004622473,0.5580934260345694,0.5135885877117624,0.5475226169742021,0.5498010182855719,0.6725532080570275,0.7404534054628599,0.6503150237194727,0.59806110182218,0.476624420237315,0.40421110787880987,0.4189143189098039,0.4021613923102966,0.43692882152157025,0.42224122947468234,0.4555468656006383,0.4233702303475633,0.3809613391034083,0.42108840650091106,0.404830101514985,0.4231303566202246,0.3933985577223722,0.39699893170699563,0.41638410541433984,0.545009211893497,0.5160798988656201,0.7481967383331948,1.2117249784155237,1.6131254898151526,1.6821039208192703,0.9452990698716001,0.9839290133720254,1.0099478363430594,0.798780869440075,0.8198415655085365,0.7055941987972244,0.5023866860436274,0.950010597780301,0.4906372978837862,0.5638522132884914,0.6892702943035027,0.7488456607472235,0.7761426177605778,0.6809036960605748,0.6645796972927053,0.6068831251301257,0.7091949249545457,0.6019310304564938,0.5482302918934534,0.7333612258997771,0.5816117770386746,0.8025584116460435,0.6723151039609243,0.9089676467013563,1.1784331850793142,0.7995280563710638,0.9083888832860686,0.6226769295198915,1.5005012999587517,0.522487036241915,0.48654568264957726,0.4679376722636778,0.49064144814263955,0.46518937753247147,0.5384059018410252,0.878898613002161,0.43349966904523196,0.4817907780674803,0.4258525308173395,0.42509296473138564,0.4975702722650742,0.43242167239619095,0.4869535105445968,0.4771382705219238,0.7006287877934878,0.5645559007182784,0.4298019300685092,0.41273038351072633,0.4993346964545702,0.5053810310730967,0.43130690999764937,0.4263197646208746,0.6702001212637051,0.42343943970147147,0.633810074738461,0.39552984734984564,0.45867963527880673,0.4564924334529525,0.46846323730563627,0.7218096362032536,0.4410869906929066,0.44055775222951515,0.7009180887011429,0.363062687598677,0.2940748720063981,0.2923694472897408,0.3475855404370847,0.3351545677209473,0.36023212493515405,0.39968410064094856,0.5383738251770528,0.5384944476990007,0.47793772991863065,0.4504139547900283,0.3999729247503773,0.4397624400009585,0.3461342984573313,0.30881822479115445,0.33742674412513046,0.29745669947802095,0.34339317828410326,0.3026862368892705,0.37583029578260346,0.41325214257217663,0.4176122727317418,0.4027557847151506,0.4152612172392534,0.4244649432298026,0.5199522449776954,0.6923693851813889,0.3871385818992037,0.4016029464009112,0.44725289280906605,0.8165946753982144,0.7225211825811872,0.5072935464045571,0.40647915968107723,0.37249221411882555,0.3753140257718887,0.33273583858204475,0.3430769131907648,0.29751495989568816,0.34737435596862515,0.47440938848888387,0.5125867893629952,0.7499215968268821,1.5148309147878658,0.9450319021625065,0.5768539452359722,0.4134080544558968,0.4549121128072,0.34374805768602074,0.375307280851287,0.3557255250195212,0.34196970456192916,0.359570564368634,0.36368283598224554,0.39657413723015716,0.5789600384226161,0.5746123321607205,0.9351629959685245,0.8569460413801967,0.859440836011493,0.5533274494518554,0.4197985818557977,0.3461151464220276,0.3649502288893785,0.3147773429750651,0.3684333631801339,0.3771476021081537,0.574984037601959,0.37271483497114904,0.442061180006519,0.3717492652645029,0.3365148791110627,0.3625544761656923,0.4046145254669496,0.44918417446597997,0.5960354269569107,0.6133720267589843,0.8178254126357741,1.2332028681212404,0.9419103901979506,0.94158801614879,0.9760932981519139,0.7832985975107419,0.7474478196762174,0.5391417525888899,0.5035795776003896,0.5872046238856613,0.5153260211605101,0.5294310770814151,0.6697708731104108,0.6127322023793449,0.6976397592286988,0.6184875842572187,0.671477176416143,0.7603859878305695,0.8146660554827483,0.9282829157598195,0.8918990713753927,0.9472652946626062,0.9773776478555902,1.0470909489114668,1.1108216349936262,1.2021818231222405,1.2133686019277896,1.3000661886065294,1.1185268683385743,1.2827863342718158,0.9930410166540489,0.9943963250464494,1.0304256545161545,0.9543944255765613,1.3274244013713234,1.0635940009595177,1.4710809802647713,0.843713035139354,0.8444243729874228,0.862883239523169,0.7900186523343794,0.7724750486727656,0.719912836226252,0.7283362351021891,0.740712592615399,0.8168901702129999,0.6773590579544433,0.7965703741004023,0.7995767505847778,0.7838384039802608,0.7921624277211102,0.603841699292362,0.6284297567209107,0.6395846238395073,0.831600184346288,0.9036803746323022,0.9435161106565125,1.029518215189861,0.8494293264091123,0.8723705205735345,1.085051121650976,0.995222101662074,0.9108119762340254,1.0507730419765258,1.128409352935758,1.0423925667586385,1.0736463979001865,1.2200949269332293,1.3154177629020771,1.1625355853253523,1.157974674750623,1.0770789259881905,0.9717969189172719,0.8911652712553333,0.8635634054082105,0.9276928228294005,0.8823386565975588,0.8184531456126481,0.8523389665883699,0.8841996881901848,0.7735512693048233,0.7958531615333814,1.0509418218074242,0.8807441102549826,0.8230390841051309,0.8637079655780732,1.066473669017672,0.9339699586721745,0.9207753015057049,1.132172112058516,1.1987499752563922,1.2082701959521456,0.9340563844911989,0.8786942992707487,0.8793094411850743,0.8997757576409006,0.8868019047600716,1.0435981849339133,1.057146243910717,0.8955278351331669,0.8121942756058442,0.5378407336952776,0.4046852794014048,0.776265842214683,1.020628284147286,0.9206888620964369,1.5698332272159452,1.1174045744746568,1.1362771595415904,1.690238494815554,1.9879157266556164,2.138228616780991,2.442919243940611,2.689034833795416,3.9468235755550576,4.288599894903885,5.508274890673438],[0.665638282901458,0.6038217294582158,0.5873854614328123,0.5251338401099749,0.35940111400194574,0.31982617981597805,0.2217928216577386,0.27501992459791574,0.3130569797553847,0.2684665455582454,0.28564833348581153,0.33744311944108585,0.2646656708210232,0.30532656668113395,0.40145924653880577,0.3374184002528014,0.3917556669846582,0.42916404617255305,0.5386287470262765,0.4893514803210679,0.5184766453415842,0.5336917943793578,0.6520085283552359,0.7486202485306339,0.6236203991316311,0.5787126162161466,0.47565484791496854,0.3866331003637573,0.39798299097061834,0.3709900671055609,0.406136987575658,0.3919828203586816,0.43487855305793005,0.40744703979587726,0.35903314978706097,0.39016973847558045,0.3705350853976686,0.40675987952842235,0.3917814887936448,0.3997990135020878,0.4130241301471366,0.5479486543784833,0.5420758993365332,0.774282345057469,1.2690402896286777,1.6300694589525933,1.7529992032174733,1.0048432222358632,0.9894388847423181,1.0628387994187702,0.8367216258411551,0.8439451518229758,0.7626140044287573,0.503245361600819,0.9187059589010775,0.5066595441611945,0.5485780942724164,0.7656037573984459,0.7568890994482889,0.8174513624875378,0.7033018709714357,0.6473132565167116,0.5780975233979446,0.714517013654077,0.6465740792396416,0.5405961216095129,0.7452549973466246,0.5624540350378814,0.7638887159861822,0.649103417461807,0.868747356166354,1.1116920094397602,0.7692455634407885,0.9212286485526082,0.5816281316144997,1.4575648345587995,0.5035821687371289,0.46407784434410837,0.44941200397757475,0.48654811473797016,0.44298156380785864,0.5253609934491058,0.8395424585689788,0.4092929095474468,0.5169154640823919,0.4014406601464868,0.4191287066219737,0.48885917901199694,0.41047933442228823,0.4843168971133478,0.47629669721742895,0.660147747641999,0.5414192257174755,0.4124307270287081,0.3921072171907228,0.49012750640609676,0.508217695957179,0.4088425864268764,0.3899369979788573,0.6269815366440358,0.38749567435754223,0.5777108575413001,0.3622328071015926,0.39420647075536525,0.39245459103919356,0.41432347049236473,0.6266134139458478,0.4001476148655401,0.36516011539318227,0.6663600716122193,0.31866759170331377,0.23800535399784628,0.2388021313945974,0.2846585825793879,0.28361596982212983,0.30678304025427355,0.3865894042714307,0.5109789250294519,0.5593468212986308,0.4661690553144041,0.450871116834584,0.38980724502674985,0.41190565298231496,0.29409350006743296,0.25491918443529166,0.2888965745599565,0.24132428131142886,0.30485827280133687,0.25951285327442686,0.33410753594428055,0.3973277025773088,0.38632368070075024,0.3727259837573097,0.3739345459542017,0.3795120705849802,0.49436127914237615,0.628744912588578,0.3513464676082267,0.35856947821476853,0.41883092406225947,0.7920943720958254,0.7213509899183357,0.4847505430961513,0.3780977314583679,0.35155215064872636,0.3543738461527932,0.30077072772038005,0.31903741333996266,0.2610166824207499,0.31754387273593526,0.4290551804778986,0.47655878286246045,0.671236846445867,1.3925436584142679,0.9225029186395517,0.5108213681809065,0.35938190724961294,0.3831718662615866,0.30546214354468815,0.3260082980400523,0.3478839113954473,0.322424637095948,0.3294500184072896,0.3481775745789407,0.3731157432071112,0.561408240484892,0.5680948754950971,0.985002838167002,0.8590065223086337,0.840909305037925,0.5282577143367883,0.3881443285516264,0.3471162241820384,0.34110506407244956,0.29607982593874227,0.3285626033291253,0.36627127494294026,0.5282169639507309,0.35231912628864076,0.400055816731703,0.3685363406399829,0.29272651962770346,0.3413643249091541,0.39481629711480404,0.4500348506963904,0.6209035070117378,0.6458977363298449,0.8151467762868737,1.2575026896114927,0.9958878355775536,1.01233469901991,0.9893593300456478,0.7856481543780894,0.7480249686025254,0.5359503489039938,0.524322540570295,0.5774166459870035,0.534500924165078,0.5347395253364665,0.677801186592659,0.5739072189550409,0.6477030259868133,0.5863474808575487,0.6447806969698444,0.7215083294077994,0.7813949554557342,0.9244743132383143,0.8870468548420584,0.9182473052466079,0.9789512353714059,1.0559054226411593,1.1134993637359871,1.2016551598155127,1.233536745059648,1.3339219851133408,1.1640765502956103,1.2992463982612743,1.0164042255148171,1.004211851796694,1.031591771308225,0.9424364542019783,1.2704737594674727,1.0484708021980957,1.425682158827321,0.8289428127822008,0.7877934119598061,0.7929483148127745,0.733435655169699,0.742731515784448,0.6805465186696174,0.6869416241097163,0.7447693796119637,0.8116214253229103,0.6695233749949876,0.7886417713344118,0.8317237820429577,0.8093930623775303,0.7758435951295573,0.5966214621758056,0.6288518064988731,0.6164738838161279,0.7831732806886198,0.8488761373755802,0.8729070489844891,0.9785444962971445,0.7969744234797644,0.8039674369222096,0.9921265934878478,0.9220081616593278,0.8492545741264531,0.9770169883702952,1.0593519172491992,0.9896438308329878,1.0149881946724486,1.1587198569117831,1.2747029692903433,1.1369345147922845,1.1245882127874902,1.0484439927362534,0.9269563850651242,0.8378395844859076,0.8125128542264286,0.8897794472609332,0.8579438213173426,0.7805198359245548,0.8333025574131315,0.8670001194093407,0.7544278529677247,0.7965315613506752,1.0594361006181143,0.8916231048943613,0.8397450350997581,0.872521143697051,1.076738045392746,0.942373546644191,0.9209648456582853,1.192502749198105,1.2163930569692702,1.2134030428008549,0.9555298853377758,0.907500463192811,0.923768475373836,0.9109774387166047,0.8714105442182094,1.0304483045200978,1.0556091526829963,0.8932815410800753,0.7406914082047564,0.5308455844241896,0.38592314696410557,0.7969434715423569,0.9573069067949956,0.8702561355784624,1.4005635660274864,1.1177287840700691,1.1329638675667097,1.6269500457018158,2.016469360506945,2.236720732569229,2.491592807426939,2.65472165797289,3.8799328140972973,4.162023722068844,5.36827734249481],[0.7155513161839849,0.6421236358791662,0.7151234122409139,0.5357489986393574,0.4210079285210079,0.3908234242970142,0.3042560782770931,0.31670619957153373,0.3467554907711346,0.32217066725247184,0.31397542859533356,0.36748335083069084,0.3223970713967476,0.3341244797196038,0.41351283962352653,0.36730899865489736,0.4372655957553704,0.4431760574732616,0.5512538994978995,0.5160841629910665,0.5317773635508519,0.5554476982675296,0.6704920274249608,0.7651163203878482,0.6343125425572864,0.595725952149131,0.5140908448294258,0.4349999191332508,0.4367932305868371,0.4143804912584774,0.4143779168831239,0.41539734931107114,0.4241851917873353,0.4111768549003363,0.3935234507335133,0.43834066609203765,0.4043894465281035,0.46279929527749764,0.46284362034327636,0.4662988632011849,0.4814843936631532,0.5995474196205298,0.6004714222899603,0.8209798703536839,1.2848055859775107,1.6231112388694995,1.7443773932526154,1.0395105898273085,1.0110967351984204,1.0799736930940704,0.8803167504654198,0.8876023863407715,0.8139459543700998,0.5679352298318799,0.9626435593938237,0.5803336087319481,0.6010054995744079,0.8258379006255757,0.7764231675940436,0.8587839105225943,0.7461440732972447,0.656415745160299,0.5870988233876249,0.6970438701576762,0.6581789917629149,0.5586327905815104,0.7585354433225675,0.5653359490207409,0.7437714735959637,0.6385652540337305,0.8402624081800065,1.0613078419865496,0.7354782507914509,0.8967551937467582,0.5704492416622395,1.410368641233829,0.5172992068855972,0.4790866292594594,0.48523540022626355,0.538298325604754,0.48297304845227385,0.5730492407977138,0.8656491351696356,0.46582064720589905,0.603915938674575,0.47727249961142154,0.47618742874523934,0.5176145292436645,0.4650985135678343,0.5093472948679936,0.48351510636843903,0.6457713744933136,0.5363089743097806,0.41781348036965127,0.4028961462641557,0.49201414989510195,0.544422904041295,0.4257020481078519,0.39971087392677923,0.5825685603906926,0.4143071595845163,0.5547955970334497,0.4026545648515545,0.4244364753553924,0.4372522617785792,0.4431308772343281,0.6034961307994385,0.43290213845985387,0.38956104382418844,0.687369850194145,0.3622313987487135,0.31207435865648175,0.31850387920810536,0.3614495033609913,0.3556947276636727,0.36713085441679716,0.4261124648668889,0.5273948519240527,0.567298510735087,0.464237420790754,0.45562433869294977,0.4160753903111322,0.4421728863811588,0.35001829497210724,0.33312662569224893,0.36554736937514515,0.29569442003562507,0.36225805821589674,0.33656146591213654,0.37834148043335053,0.4144640326183375,0.38664867182222445,0.4068193887989303,0.43884753956880573,0.41498672458524705,0.4823962921589425,0.6415935238602641,0.39943337936651635,0.40749960910516936,0.4728695834058363,0.8185806613182394,0.7307393161017252,0.5243039619669242,0.4406110750298035,0.41711506613829247,0.4232168183344646,0.3776129848772643,0.40164287410153116,0.34288902410247346,0.3539321246353507,0.42871117455332214,0.48402123290458954,0.6149440813735934,1.2993097679317123,0.9084915479141584,0.4901727815465744,0.3774771758287354,0.38292597820635993,0.34724809194504774,0.3665246074017104,0.4478442139163491,0.4025650125354055,0.4172904166291346,0.44380301345702605,0.4223232821554835,0.5978270206456935,0.5895325316656875,0.9819910602280424,0.842200485298172,0.8249944697771219,0.5607386171739203,0.44152131720457716,0.42717564658396046,0.42475593662809646,0.38898964478881,0.40254135126444157,0.43112446057643145,0.5540100855120186,0.43168958338949986,0.44605833724375044,0.4480289679378521,0.3807357968692163,0.4209383128204703,0.4522407775127586,0.5110953959574591,0.6949721032452529,0.7096080808398059,0.8642474735054223,1.2584820980037952,1.0178487687810294,1.0335715790406717,1.0121809522935894,0.7915408006754685,0.7394216624661538,0.5448085551983275,0.5246780355987113,0.5851549321462812,0.5339805961909194,0.5177898248590627,0.6906989602392789,0.5546101044535715,0.6472243593329075,0.5981638299513835,0.6131979548734149,0.6787657107319426,0.7508579185254826,0.8680297578141881,0.8240060506354998,0.8511199203297947,0.9247242387563742,0.9985820453860936,1.0199399455697167,1.1076091397611367,1.1693495417186164,1.2405233841990522,1.0715917593292703,1.2049118053449779,0.9137354773166632,0.913697658243233,0.9255870053960531,0.8282722697387865,1.2040809650801896,0.9244920787635004,1.2927962265315829,0.7672919800994786,0.7314818109724772,0.7440249829491044,0.7297546592573956,0.6850650471170484,0.6249238803003885,0.6741105409523085,0.7323034934537469,0.7497702375136863,0.6266518514743106,0.8084472702908112,0.7546479035141289,0.749807925908349,0.7368827594985794,0.5565128690767492,0.6605592976877497,0.6491914219366419,0.8045742686055866,0.9078000288815454,0.9017499772133448,1.0308012204263197,0.8277877797640723,0.7841536419370823,1.0004747618511562,0.9139889886340221,0.8107160819142152,0.9162858551749973,1.004791272419233,0.9276923808625978,0.9295398682581595,1.0651494089506985,1.198212160622601,1.0317434522004785,1.0107630967834313,0.9460438351927989,0.8355208264109805,0.7738648553632046,0.7493667757256057,0.7869674976386448,0.7818215826181775,0.7115133871515048,0.745124130352506,0.7872234140622736,0.6957091248214857,0.7154910608414191,0.9601477859123098,0.8175145874016895,0.7586233075545211,0.7869443152546228,0.9968502456156477,0.8708758496573535,0.8541631141713032,1.1936001457431762,1.20169885819991,1.0903368117630248,0.9046066550925024,0.8256012890374418,0.8227446924238909,0.8899311069554785,0.8085173794476774,0.9770660142536326,1.0036835777106767,0.8307621735401864,0.6828333602355445,0.5144943402909689,0.4136907485984699,0.8714250687910476,0.9371345822857995,0.8497448918834742,1.2818592674259357,1.0648021159056291,1.0951033756063664,1.497069355690501,1.9310956026847435,2.2328930094873276,2.3240689091634446,2.504857229764751,3.704318623262305,4.0304210715666136,5.381214242100833],[0.6575793357558728,0.6180595478758972,0.7193347582145873,0.5101126027311164,0.4654598711747795,0.36761590952069717,0.36633316121113835,0.38235376845970587,0.41058843295290653,0.3969035347619436,0.3998940717765352,0.45107204487757785,0.4275057655032658,0.43291728490673326,0.48848918474561104,0.4643351414545267,0.5306575417136085,0.5302314651668647,0.647932707325639,0.6180489729745797,0.6427164963812484,0.6698808355093585,0.7816418048072946,0.8522818629088706,0.7578197321375799,0.7086092057240937,0.6536994000282044,0.5422607332815718,0.5294166398803757,0.5113376640235513,0.4927689445507198,0.4897116328675022,0.49329465864024197,0.48289728595154574,0.4641229643430771,0.5315732714263804,0.4867991965712428,0.5547705086346717,0.5799555692798029,0.5739047993221025,0.6051691250890427,0.6890511008603126,0.7254315571748408,0.9375955923948571,1.4228395420228215,1.7048662917545752,1.9084362264829642,1.2050670530131682,1.1190298558478506,1.2420785701871768,1.0211990303444587,1.0666929161596117,0.9567180825218289,0.6936974545442891,0.985728485045574,0.7398208209805942,0.7483795395225302,0.9297611218539183,0.8172152314987299,1.0150318959457487,0.870402898174468,0.766389817169725,0.6823132217023108,0.8230429085063977,0.7778317224352018,0.6847050007833532,0.8274191089183588,0.6297022750159017,0.7832524110780446,0.7078124531054207,0.838765330780644,1.0703142707540054,0.7825100109669654,0.9879742325700558,0.6481908335897981,1.460373465683873,0.6052473996465404,0.5634102004995543,0.5709384050038769,0.6341899155526957,0.5512125051969503,0.6422818737525607,0.8497144032936497,0.5632334567279305,0.6761374790140484,0.5544590814414548,0.566598843454581,0.5834247168969069,0.575988573870402,0.5716784438903605,0.5562101207423596,0.7422850920135777,0.6301650234055389,0.5071845502583068,0.48455571910804063,0.5859302595249338,0.6437027159886514,0.5039239606945949,0.4787456066770668,0.6153161982461306,0.4844292630539374,0.6139031225470418,0.479986799804539,0.49012888150468964,0.49991188592576974,0.49320117323386553,0.5897807665490794,0.5304277573942904,0.42569783700192265,0.699157120959172,0.40558322967906457,0.394264791563788,0.40334800638233104,0.4398788420566573,0.4579774812616004,0.4816755878423014,0.5273572281002218,0.6524826257127035,0.6694870293510078,0.5529905324178073,0.5557672114167004,0.5167226569231739,0.5645496634541278,0.4445593854494407,0.40988231173428363,0.43362498566618196,0.3546008669462543,0.4272325564538939,0.4064389473319118,0.43196651955684207,0.49000217831653853,0.4645351984779738,0.5381855339050763,0.4901212727870847,0.5322056459184511,0.6086396820908467,0.6863986197599513,0.5024452519229927,0.5057518549588977,0.5985856887787258,0.9497520774741732,0.9042960041135013,0.6293309425249319,0.5580208477424986,0.5394807908563879,0.5306230037358466,0.48988512229293657,0.4819146748771364,0.42898702325419374,0.43230754438750313,0.48873762569188933,0.5308026779574986,0.6288484667779385,1.2541113460346822,0.9295039145221451,0.532456676724301,0.4544741687787493,0.4497038245546883,0.434167998176162,0.4389247647588288,0.5165095666906134,0.4884965910892149,0.5272433221243692,0.5444077704130206,0.5354995741746309,0.6944556807481521,0.7463720453869855,1.1710001402816852,0.969022959510144,0.9186174071972163,0.6651644899403308,0.5564139243052556,0.5272334515997048,0.5021115315596285,0.46702490641596783,0.4594442335359785,0.5140604467052264,0.5841713653381789,0.5224960043366452,0.5150240432741657,0.5233195811780549,0.4589168628524591,0.5232365083045318,0.5685920091368565,0.6069696798479836,0.7699790979455812,0.8084757561397357,0.9187527162779288,1.3175362319490316,1.1104589637964548,1.1616832768849787,1.1715921535667255,0.9601743775583088,0.9115299012498629,0.7067018660734465,0.6723252361236118,0.6772176885305626,0.634662528863755,0.5703016899702125,0.7266653702741322,0.5264391824497614,0.5877054065375091,0.5641536501971284,0.5759324980902366,0.6184722237089645,0.6917043194664585,0.8249737654396844,0.7754928241032288,0.7874598624846026,0.8813589418612892,0.938839902574978,0.9700788015003735,1.0743054991970038,1.129098498716694,1.2229042363510656,1.0767523590459176,1.1620651445199457,0.8925142379916451,0.8671098125101183,0.8753103190291812,0.7816228028743465,1.1184853715908523,0.9104036733739461,1.2289987456797813,0.7398738096049254,0.6569580290002439,0.6873566133312823,0.6716370925858817,0.657626054466316,0.5838232819775747,0.6153870150247914,0.7478611311670313,0.7449287248590288,0.6347651035623904,0.8677794222050212,0.8615683034454914,0.8235108606525482,0.7864782758152326,0.5801582112248387,0.7245183178371554,0.6595720116142063,0.7498758666900485,0.8345781169646961,0.7913454364337041,0.9318723011500781,0.7437642678635573,0.7074906733135429,0.8971173956770203,0.8198571973294003,0.7319651896562213,0.8257611343537501,0.9181520246595772,0.8563797111886844,0.8551315219565652,0.9905066291319302,1.148707569771325,0.9789626765850306,0.9464063599682292,0.8762084801195966,0.7555187435274441,0.7056264398241043,0.6830392284510209,0.7163782283268995,0.7178857280829153,0.6529186065095166,0.6944908729062437,0.73179530492804,0.6494202917262814,0.7112596047717099,0.9379016830715069,0.7968469246386077,0.787559265479112,0.8208609272926013,1.0393696318414392,0.8930706124431104,0.8432512986741565,1.2617189519716203,1.2267650752958092,1.0673348807902694,0.9015476804447329,0.8183170013288649,0.8229777447927936,0.8991769723026728,0.7831909835327949,0.9415294810956624,0.9869254138593209,0.8345936006817206,0.6445830500127996,0.5402384108521462,0.42692756610964255,0.8587027834031147,0.8843443168509911,0.7937442975157041,1.163365722865101,1.0725391141150202,1.0672188141555932,1.4357983522842042,1.9430318914179538,2.2805606421733127,2.360734421555511,2.4722404294893243,3.66953633868579,3.937081131103921,5.280346205852484],[0.6664107387659657,0.6058670005228527,0.7587894931248959,0.548213290494924,0.4818100721361529,0.4088983978252273,0.38252691089646657,0.41730917594167327,0.458978311240307,0.4528501189771366,0.48504441256733827,0.5404200120244205,0.4979444468421055,0.5002370018304072,0.575195802115899,0.5492924518623842,0.6127559445482039,0.6020395626700137,0.7037599658087081,0.6866062672999576,0.701713424885564,0.7312940744628698,0.8316747093346875,0.913536514604762,0.803521294701115,0.772552748774872,0.724095489987642,0.6049712099759967,0.6039114350542749,0.5960394636388123,0.5808279279356202,0.5607116760170213,0.5913784816390335,0.553076787350875,0.5495255012008383,0.6096524373833483,0.5790318057370852,0.6338472111195077,0.658056614457619,0.6440651522028877,0.6729360411900878,0.7547446701839575,0.7772534560678528,0.9660195234717223,1.4288608615918896,1.6919319144691938,1.8919792907217725,1.2337786907206925,1.1482688037663678,1.262070670697804,1.0652439908855411,1.125613961742537,1.0346077777200393,0.754931938663903,1.0466705129968294,0.8014291523504505,0.8064979325218583,0.9649589829790309,0.8543919355362471,1.0440738234928555,0.9306377380599176,0.8259978801821861,0.759112869377516,0.8759019688376035,0.8329184871358666,0.7486070457115156,0.8676537324407857,0.6916372954318396,0.8334858989423829,0.7503676391408284,0.8657815289729618,1.0759746150009069,0.8104224550401107,1.0280583481731727,0.7036489950904047,1.4981345412978662,0.6780782803173349,0.6476295454571636,0.6527910068445277,0.7032427742889615,0.6324040215324733,0.7293350024101443,0.8550576739249022,0.6275307846946673,0.7565988689967443,0.6178657603704234,0.6448156822668064,0.6526998388044141,0.6501211479589697,0.6315980383117837,0.6343097956121133,0.8258161593269966,0.7066634834098265,0.5921182029497043,0.5583778530683605,0.6664518533794335,0.7167815123193161,0.5622931922937998,0.5398882293195667,0.6682307311040916,0.546449882835328,0.6146935005581703,0.5502187632802243,0.5034577066697473,0.5248972907846308,0.49851837686222156,0.5815877157971294,0.523864633239542,0.43954078171846894,0.6884505392150666,0.3938287155400791,0.423582389040176,0.44362330304321335,0.45706772196905815,0.48527653187399145,0.4969754953174977,0.5830422136957286,0.676392446371572,0.7245372739451263,0.6206820455158519,0.6183552866052966,0.5706008088516945,0.5830623550607974,0.4277274216639209,0.4044909367396228,0.40759031213554325,0.40302398986289356,0.4166772913517921,0.43792064023607785,0.46951646392417296,0.48445120640127365,0.4583488738552711,0.5184807209805954,0.5307287144716981,0.5216325216281344,0.5515915819431826,0.6477058311541833,0.48427177213767775,0.4979496547531293,0.613729845014423,0.9801508692632165,0.9006375864118127,0.6829036384409847,0.6188868762773476,0.5970461373009402,0.5859328786100518,0.5333799846519258,0.522781054495144,0.47085869859708723,0.46463145696226926,0.5181119844177701,0.5622532349386345,0.6277384688683963,1.2222363955327078,0.95625286510457,0.562040349676086,0.5051364878449863,0.47772135316211894,0.489541479423568,0.4633597939859865,0.586945438810237,0.5331833754480099,0.5734726801528924,0.6084043177048458,0.5506174016317235,0.7203792954357533,0.7408793607980675,1.1398926017779223,0.9189215661949165,0.8634909333250916,0.6567448384981462,0.562461447387898,0.5552062358543485,0.5420773178392405,0.5227265813784873,0.49692537871001147,0.565958867363339,0.6263940996238851,0.5870734431067796,0.5629880462734956,0.5874036859236323,0.47909498832855724,0.5226610130453296,0.582470592832668,0.6279953658534994,0.8459360049075476,0.880238793457623,1.00728889478332,1.3827507280199882,1.150953634927576,1.1961080219474993,1.198108791768869,0.9246039497038839,0.8618224889146898,0.6733800038098022,0.616006899041537,0.6563596754410024,0.6292887905031023,0.5639541069760694,0.7152257269137549,0.5099082919339762,0.5613322213485137,0.5293118892793925,0.5316259430912295,0.5614034848379644,0.6369028773114888,0.7660747199384548,0.713918032169099,0.7171367628326328,0.8176802328994062,0.9004060987890642,0.9043006389425279,1.0000145184581877,1.0966485224482698,1.164622577666158,0.998843344913894,1.1171695238280193,0.8275466275523059,0.8187866073106914,0.8124548511908479,0.7200204489381611,1.132148785773866,0.8378334349677207,1.1231859098157144,0.6960683099835913,0.6346832751674852,0.670943497922925,0.7138241412894712,0.600023367994992,0.5561848878036911,0.6587621532787257,0.7914849624290072,0.7378022316279012,0.6437627339480114,0.9146955593100188,0.797221282607595,0.7809078547906853,0.7319038892562317,0.5702437665407657,0.7425437271006642,0.6927365728577346,0.7871983447450325,0.8948056793807976,0.8683233887940445,0.9818789927899702,0.7778084204376909,0.6817360502019036,0.8820887423786558,0.7836311389769232,0.6748049211577167,0.7716767126302241,0.8698018005386561,0.7953203452874446,0.7896269218638459,0.9204665887098099,1.0846975875635234,0.9036518967686,0.8719884560152178,0.8049167288532245,0.677809060535313,0.6340897730713283,0.6323662221503497,0.6385211613415258,0.6478183332744317,0.5861307209872121,0.6343405183183856,0.6809324835718354,0.6141265694401081,0.6544094057160912,0.8621635839228446,0.7365382175864121,0.7251637325879233,0.7716427993606846,0.9604472160892118,0.8413104292689367,0.7825325864983714,1.2417675092649878,1.2241823476774059,0.9981125509134999,0.8708526701828918,0.7558363804113734,0.7418514027987126,0.887531797140919,0.7577271707574988,0.9044702823961694,0.9316445667733382,0.7795807147104421,0.6285781621943055,0.5264720248871394,0.42953294368254186,0.8543700321981467,0.8044168893338592,0.7268153109057393,1.0708556395948756,0.9251893610654306,0.9678640122516662,1.2879291849292094,1.7693100594695255,2.1534560683935418,2.118506697607916,2.326078094853424,3.53951834155691,3.9126360927621535,5.385897218194977],[0.8591471342644913,0.812209473653288,0.9308027145151282,0.6790878274785686,0.6871975685784328,0.5719920756080689,0.5304440134566157,0.5352673902638111,0.5262563089026301,0.59934126634179,0.6244512551949104,0.6736724465136464,0.744924192864899,0.7436549256237455,0.8598570433789219,0.8793572943224741,0.9939838885100413,1.0862374654759182,1.2505345118484643,1.2251874486621388,1.2957861881195782,1.3048492280304553,1.34992001094952,1.4309619683457873,1.341549854292493,1.3310029448063372,1.2514927091951924,1.0869413515195898,1.0622559452389946,0.9795270311013569,0.9825028905940222,0.9000095614465544,0.9251751455533487,0.9552108263917283,0.9918441255507349,1.0749068474623207,0.9889538012638276,1.1042561428168025,1.14030180367351,1.1355381431041853,1.161108645821346,1.2467642876102427,1.280103078722888,1.397791573921928,1.783631877041766,1.9588789377261024,2.179305956270479,1.667961345501034,1.508794516246793,1.6213117446988714,1.474043930267196,1.6127868243153074,1.5123706445161091,1.2392505202223865,1.4079367206199414,1.347200070522681,1.33010361030415,1.396909276234915,1.335026169068648,1.495808771912683,1.4548846507534847,1.3953582209059352,1.3071044902862887,1.415236323072268,1.3905380540759869,1.29885962186852,1.366847007968327,1.223994529277708,1.3287448722228485,1.2302703942417066,1.2859851476543416,1.5138756350764377,1.313002107153908,1.5646442767572961,1.2192957746837285,1.859367144027183,1.2248464566994592,1.1715400140473646,1.1738975065402524,1.2043922307664345,1.1082125008791281,1.1665207816050764,1.1113505464045037,1.0424081848883218,1.1845134813067748,1.058370416229464,1.1306891835651016,1.0790421725551111,1.1542127388327803,1.0730746258691044,1.1151255891909326,1.2642354874007296,1.0815523091998083,0.9477381652007185,0.89299123421286,0.9204633350354806,0.9176385218400714,0.7986213656813165,0.7273242651453143,0.7770654153641974,0.7866444151760683,0.784404371764167,0.8438153547275415,0.7538750354398245,0.8078798588379906,0.7525877464347579,0.7965850944319254,0.7690802371827953,0.6456412190214603,0.8543450750655928,0.6092081218768562,0.6718207493390926,0.6396203687372827,0.7206603428905576,0.7805718880146217,0.8440365538212495,1.010557741303374,1.093241320098621,1.231123553087423,1.128033809327565,1.1108477045801686,0.9392922957799563,0.9022106381353598,0.7153109851044357,0.6332767606455694,0.6706298106192529,0.6117411319054271,0.6479081018523608,0.6646948378348797,0.7338150813259394,0.7040714748694278,0.7093275339845537,0.8203693497058192,0.8206419359718656,0.823431255883397,0.8221445849386869,0.8753745130246515,0.7638294101120287,0.7902884785524916,0.9408013390005192,1.2747882810872075,1.3188650125008157,1.1473372922460665,1.0391786550316753,1.0438891819610019,1.0077841473271663,0.9204091294591445,0.8567487238995551,0.7652861102520688,0.6797711079424489,0.7022395865550338,0.6832346654061802,0.7517726971614671,1.320226069301988,1.0360772565168805,0.689622240428377,0.6853527498320613,0.6765774607952948,0.7622906635138124,0.7387168025449161,0.8978379350930438,0.9183745478708575,0.9585820960443432,1.0242102671922393,0.9379233485545396,1.080048241120357,1.1004340986029064,1.464215167988141,1.1939154983321403,1.115194633776787,0.9571879043525114,0.8870221739392881,0.9136163774732413,0.908915214998563,0.9101662768436334,0.840569030359294,0.911282720212268,0.9524367338837416,0.9881045233671382,0.9321177601463231,0.9820198862649979,0.8146476619533592,0.8733837368920284,0.9498248675848326,0.9890434216403075,1.2369239674983619,1.3015602644276725,1.3834725898296518,1.6728675071488048,1.481205217774522,1.5590288392873222,1.5453938598919628,1.2700623586223894,1.176526300916817,0.98613615948511,0.897075435319035,0.8580143938469657,0.7848028946663359,0.7072393707921429,0.7858255036235251,0.6520159797108673,0.685323121955875,0.6681300643086686,0.7120251978184788,0.7283596288940236,0.7959815973154438,0.9218732937135411,0.8978154839707159,0.8911330852640369,1.002794856276881,1.0882266875557534,1.1070242672819088,1.1925780873394358,1.280572969009567,1.3794853153148399,1.2417870834110476,1.315653174119869,1.057465521836114,1.0147737351905313,1.0140306073333285,0.9124990939244736,1.23901307368709,1.013710161775149,1.2864614929992038,0.868112936443205,0.7977608516252169,0.7829954158981134,0.8165800477398337,0.7453532006641298,0.7409011667622845,0.7511530234486111,0.9256713892617937,0.8904127203289436,0.7770684973779791,0.9624190905286022,1.0120809606144319,0.9739162143777738,0.920238639245038,0.7128336242609903,0.8340699059419433,0.7683511054527403,0.8323528617995958,0.9190147525757886,0.9046002918881048,1.0371545272494842,0.8367333094796516,0.783281781231189,0.9555322282363578,0.8727298622289087,0.7980210525287925,0.8991018542156801,0.9936435526956268,0.9318073650305259,0.9340825504497694,1.0643145638615723,1.2351903885884725,1.0901152937594705,1.0576988817385877,0.9872875557719208,0.8446181923504102,0.7849634867113833,0.7729195985783958,0.8293353473757102,0.8394264419532007,0.764868519551409,0.8272713055537166,0.8569438726284997,0.7849741057411707,0.8429572211177548,1.0175173112371472,0.9166200004627394,0.8776606069946759,0.9558553172917674,1.1530853317800351,1.0139257908758152,0.9704820990064972,1.4424952986599895,1.398069137901429,1.2447651907344863,1.1053572809091543,0.9784508032728674,0.9975579740186723,1.1173294411557213,0.9592317006683062,1.059800597291598,1.0644646264405653,0.9210926516988517,0.7786084336045825,0.672412581033528,0.6260832955613237,0.9149164370342975,0.9496394296148286,0.8757966093111393,1.1676342377742897,1.0789796332670887,1.1049012888570706,1.4077471596277686,1.8549814515256693,2.243956410175785,2.265459508245693,2.417734363079415,3.6039883082140016,3.959709558015536,5.360980853890918],[0.9458931038437322,0.9541328092308063,1.1672151294622812,0.922036946652579,1.0358361810026426,0.8929766057080135,0.9981134539582246,1.1609617500428944,1.1364431250736098,1.3133162943683334,1.4262702094230633,1.5072366065983918,1.609177165976033,1.5815474987280242,1.7762011002065028,1.8191918373676026,1.843697163743698,1.9318641473926332,1.8790107396231894,1.8528501863569478,1.7619772166889311,1.7287417049581302,1.619400746489275,1.6122671982541588,1.6297676461604835,1.6697530615647522,1.7259260058385402,1.715801844843971,1.846410581796951,1.845275290839407,1.940056728010694,1.8550687986229515,1.9295810817549721,1.8992346039306698,1.9246028416459853,1.9205091684073425,1.8486766639343841,1.825502406798695,1.7619108014536689,1.7265668143704205,1.635071229935536,1.7664627760917502,1.7854213504042313,1.7938443373103898,2.004683835779285,2.0852590150004047,2.267273927415792,1.9376041808503668,1.8235628025727784,1.8588682976461883,1.8126994471145859,1.990856270396231,1.9987099719402364,1.7482167990677921,1.9003469022908885,1.8328263410371959,1.7701496767327396,2.0109926198523462,1.9321604873394722,1.864113207586828,1.8939707969299489,1.9667628421455132,1.9689336449702541,1.9972002803989888,1.8838440610032339,1.8811063273300481,1.8924607836511051,1.9654636312175258,1.9710384831944514,2.0544682519169504,2.0052691337132567,2.09824955813521,2.026928495233966,2.0964124336612016,2.007004602898692,2.4745847196467645,1.959624332492295,1.984406066129107,1.9527471751408907,1.9240007848154554,1.8725124873667927,1.8189441457273074,1.8197438801461596,1.7222383487818014,1.7937653808410725,1.7596711916252314,1.8190716206252406,1.8991261690141465,1.9228332502796817,1.9484431715266395,1.9953930777143059,2.103126735904893,1.9947207837597576,1.9208000589862804,1.8830249445810554,1.8812988693914858,1.8166931580253733,1.7882227561476192,1.6895399517272867,1.642371588057084,1.7257375766071654,1.600863814188323,1.7180198980019536,1.5548714968523671,1.5133927560826153,1.3904672128566242,1.3828881420812849,1.309599399910376,1.2147147329605832,1.3477505046281348,1.162330378368335,1.2694462836422742,1.2556828937706364,1.2755405017946624,1.4291744520985128,1.3541245175112544,1.611133656299416,1.4321781718936821,1.6689042520034285,1.8806249559966361,1.8328062924479112,1.6617340098602784,1.2667256665097761,1.1467022783282206,1.0832017197731045,1.098017303481704,1.0922496611102175,1.158366352597361,1.1897196500336502,1.301218801468865,1.1720262384548912,1.2203162743765925,1.2514500030160116,1.3469286523366366,1.2661433296301539,1.2593575931132468,1.1395406406318107,1.1076374143388978,1.0896278813737765,1.2888685765531596,1.3983595367285864,1.468541708638016,1.4844645845582602,1.457087272707807,1.5317156723192085,1.6585874651951726,1.5356554186640026,1.571619607426883,1.4709683877310245,1.4202401696376645,1.3893193253088472,1.3998641582126439,1.432991292001442,1.6674743063325501,1.6128524221179268,1.5287109783765631,1.5512520308346867,1.4869308456715982,1.6032241524269586,1.4726937344557227,1.5037436972795553,1.6109928354070804,1.4562013775819025,1.5656773816172995,1.3584288233210302,1.3562840458012073,1.3495307160196874,1.5473580585324989,1.3059230032521991,1.250642634868277,1.23504886983638,1.257445210989465,1.3784354270147614,1.481046075508398,1.5851770824251485,1.5943657353854792,1.7323321211556026,1.7807068892374878,1.7175531645510576,1.6558201645287616,1.5712744299645285,1.4480959449808626,1.4318869565327523,1.445870479033522,1.453798203920134,1.671967963796712,1.7342518996156333,1.7538829563096334,1.892679285510949,1.7141803209746382,1.7240907952250917,1.827938302786545,1.4984214481402045,1.449042842766134,1.3202319394449455,1.2131435783753928,1.174925290444035,1.1781670838838438,1.0761933755154547,1.233740441701183,1.0918492184447683,1.1748024614124881,1.132857677079597,1.0527510494102899,1.0650061077849218,1.1109407499528972,1.16880180343212,1.1176102565637418,1.1331888631731815,1.179267001365585,1.2274899224859976,1.2158679976220643,1.2723225674836844,1.3586387966805769,1.4382467259987874,1.364205116763969,1.397575979014586,1.2378838785811064,1.1766456305888793,1.174207629629833,1.106768192870191,1.424282477900022,1.1913218541897768,1.3998747712390915,1.1378492081486433,1.1604888809390308,1.2027627519330841,1.259675183714307,1.0788020464840427,1.071693433481888,1.1794184037661901,1.2122803630969563,1.1048174004630513,1.1025061221669337,1.4131588971191003,1.2163196581515232,1.200703135149672,1.1700340856255536,1.0735815602429815,1.289578683474921,1.2729326503727212,1.2891129247302142,1.4383265814279258,1.428724201563806,1.546531363590536,1.3540504938163611,1.2735836774390037,1.4493467788483314,1.3375259897208547,1.2013451977311358,1.2441693064715391,1.290592788446137,1.2051715281091087,1.1962074279214157,1.2440299266855253,1.3253475172504279,1.2108244617275286,1.1942589787630544,1.1668319792998325,1.1180440397267832,1.1507188762041984,1.1449339932451983,1.0795004242666326,1.0783774587971406,1.0938126192256241,1.093275071114981,1.082615650734981,1.061041500285098,1.1137274187980863,1.193553539062691,1.1400571659123113,1.1325285937989826,1.1415647196308019,1.2948855117854123,1.1980533296576135,1.1782373171356895,1.5714346588114771,1.5963441890653327,1.3763158651854577,1.2973543839500008,1.178916336033773,1.158271088524744,1.314223570430781,1.182948013640853,1.2522952187793956,1.2394696783354817,1.1357590005884262,1.1048666664001368,1.065817549453483,1.0398153496570415,1.200254581327107,1.3164171318122004,1.2727009314125781,1.4979334826209025,1.3185564921197979,1.2753368199633481,1.4984979656746402,1.9021008575433827,2.211935390585203,2.1019889730474954,2.3685463975116425,3.4956574171424935,4.007232033007643,5.5192697529995245],[0.880085198678484,0.8440568829800414,1.0548411138844533,0.8415379711279709,0.8950295651816057,0.8543451943196171,0.8991982336693083,1.0103507418291091,1.0175932845687454,1.0922644411571214,1.1632266687314468,1.2224644886499756,1.18087479081178,1.1909246801561288,1.2500874188566413,1.231601412180076,1.2197781029756465,1.2056000016674684,1.1781492090252614,1.1971851757475145,1.1536849534522886,1.1661342733980127,1.1668224137143643,1.2849585988187675,1.1913362637048583,1.2078451559998458,1.1810968537154038,1.1252159062119707,1.208594237518545,1.2259746562508087,1.2101711066742378,1.24321491052145,1.2742679730111295,1.1867822123215022,1.21710726142922,1.22482305964517,1.2238566496922945,1.205704728070481,1.2175918312888985,1.1820667474589261,1.138081635837121,1.2211435642462685,1.2358939615570603,1.3589018265410215,1.6715709644593917,1.8292612126390024,2.037044601862934,1.569080506076033,1.4668410955885456,1.5362129707032959,1.4039539752569459,1.5393387581459408,1.4997033044060193,1.2364269776020054,1.4499944906921285,1.2977710016924189,1.2629031590726292,1.4222633063503087,1.3254056311480615,1.4343264782884546,1.3539936868525362,1.2735866767622803,1.2470402589003624,1.2711651644419915,1.2352872497514698,1.2244335664911417,1.2531218683527066,1.195696608605683,1.2672996757366375,1.2550561477713371,1.225527703184345,1.3458528392580114,1.2436505700683536,1.4278974595496783,1.2296926758258186,1.8722793611745778,1.1999073872415655,1.2101629575369353,1.207470787804419,1.2117093528348037,1.2102550865692636,1.2789951850008394,1.29331610330835,1.1896277100006745,1.2730613870269918,1.2085159406335426,1.2141122437989076,1.270381592419802,1.2362728462625485,1.2223138444221544,1.2314849579789513,1.3342130502571035,1.2150108871340661,1.1733905043720056,1.197978166048695,1.2209351021072699,1.2897916160705716,1.2283382040586375,1.2275884724782962,1.2634886066849635,1.243188339339159,1.239354629302772,1.2416930161347297,1.1776664936534595,1.146319683016918,1.0953017200964354,1.1062407836010528,1.0097252229697846,0.9964985413859717,1.174274346602644,0.9851628278450488,1.0069728110232259,1.0173153204274292,0.99918076693594,1.0678084833248842,0.972645159927289,1.0853191159076394,0.9716714428125783,1.0881407964379315,1.1342230022493525,1.0990449276970764,1.1478945227714916,0.9129516786498633,0.868506017766054,0.9105811620635571,0.8840099713871414,0.9365033925830536,0.9553553418988793,0.9665699997833047,1.023130679800906,0.9240922016849612,0.9400859350643357,0.9285799900203643,1.0396541999335331,0.9278847321592042,0.9369567508984316,0.9431244541643324,0.8490458093407945,0.8228311570051896,0.9379606001177145,1.099285080326689,1.110517176426721,1.0603582640012288,1.027221962639669,1.055588141570147,1.1256921600277876,1.0690502597500566,1.1299139985761077,1.0950380875253143,1.1032690700099141,1.151693434119837,1.1769993360510869,1.2074109435865155,1.6428004519489705,1.4362598944436933,1.215246024415867,1.1971305702702437,1.1549261551493362,1.1722042511117625,1.1006901231926918,1.1120415884704276,1.1133055874555273,1.035903866555636,1.1095332971504452,0.9630980462808099,1.0436274396593197,1.0089907211244724,1.2859419026376384,1.046027385328812,0.9973318221990294,0.9381247997198502,0.933260240571303,1.0002050552089015,1.0664669814433088,1.117491577111937,1.123299518936177,1.2034622414178446,1.263087528679153,1.180693802117659,1.1777510715957507,1.123101960658824,1.0672921977318746,1.0669100413735426,1.0575720358230618,1.067534575402192,1.2923399877027926,1.3256540274965631,1.401676360963791,1.6248872724804748,1.4123868320603026,1.4289585715663105,1.4923965801782715,1.1452633906574379,1.0945871601554658,0.9837512019899621,0.9173340880624248,0.9336239267127767,0.9744839283341301,0.9176053427351837,1.0768013510530032,0.9604534821804512,1.0582792273559696,1.0077593451682916,0.9418325621906904,0.9823993696335676,1.0504779113395326,1.0870569474616607,1.037697950633647,1.10425067479224,1.1498032919588153,1.1780139050680578,1.1905614546261158,1.2901189908040913,1.3540443899109946,1.3948708441355704,1.2279125800212207,1.3334560467081884,1.0711055657490902,1.0870440032308963,1.1008555116031877,1.0317032336827539,1.3855519238669887,1.1120767849812265,1.3558396368624017,1.0324860678305805,1.0637259453586394,1.1013665943512958,1.1373753057553446,0.9535299612491125,0.9480499080910308,1.039385073952604,1.0764901152694768,1.0000266713336188,0.9577041838940438,1.2190195976055125,1.0251406450241802,1.03641399786757,1.004090515602777,0.9195737398162681,1.0798933191742557,1.0956985212803174,1.1646827718959718,1.2857600145027657,1.2993134593314217,1.416809583319793,1.2198164997226069,1.1874582582035875,1.3952715058677108,1.2721768012497114,1.1554183136931973,1.2422459755803152,1.3178771519707586,1.2080247341898953,1.192837694370286,1.3134107548356417,1.4096095200896264,1.2321483157628674,1.2185267445674433,1.157169596256375,1.0897194580114926,1.0895281025686188,1.0605767949751388,1.0278174567716192,1.0257328824559586,0.9989527276614094,0.9922210156551763,0.9929887397809095,0.9465322360474181,0.9548594772979898,1.0845641473110696,0.9999893349822395,1.0028016920838743,0.9934255662282231,1.1470823805134673,1.03843803098203,1.0091245329567686,1.3827730789034678,1.3765951384545587,1.1775014132739585,1.0661797784758822,1.002241224283228,1.004296801447794,1.0699384005602088,0.9799324097820757,1.0965384256343975,1.106989570782494,1.0129032625153862,0.9615642068078013,0.9176244230433912,0.9002803124031967,1.1615754318294393,1.2644703691419805,1.2085549585256252,1.4985560379530996,1.2797562158184614,1.2953527242448808,1.5559173373310191,1.9014434505145041,2.2187246364689432,2.1617434978516514,2.4351591184832,3.5180464187539306,4.082276902151054,5.546146908273512],[0.6827124714433485,0.6305557180197817,0.6707149572807217,0.5316002277615458,0.47544601136625075,0.40705208461343084,0.3516577534691578,0.37815717387944653,0.3853164628281908,0.44258196422905155,0.476261247781792,0.5379061480348809,0.5464406029705589,0.5672917462051617,0.7076754828320898,0.6875318641057286,0.7604114857307694,0.8570704304556279,1.0184801239692083,0.9730214407209917,1.044913375839605,1.0541786522144116,1.1275192631283286,1.234435356950914,1.0996963877527737,1.094487087199607,0.9791801296750307,0.8359073801857023,0.825750683140694,0.7442955752520011,0.7738289941991799,0.712662173581756,0.7716641028056751,0.7740988843639008,0.7715209628815778,0.8387009429273067,0.7587200390341361,0.8580166092662109,0.8970808661440525,0.8707775688040292,0.9068921483072062,1.0165343882018667,1.0372285207613945,1.1987973549919677,1.5940535668378717,1.78178274375548,1.9952082552826884,1.4495149429008436,1.324906632013632,1.42298126691435,1.2510428868554317,1.339769901903837,1.2899275395235705,0.980999033668126,1.2474215242187632,1.0682662939657617,1.0646105342826546,1.2125696024017705,1.1292024198010007,1.288844721578776,1.204461278235955,1.1132289848326342,1.0674574297064312,1.1826127543956324,1.141316791227786,1.0506285899627557,1.1591687613389992,1.0095541472143768,1.1587853747459669,1.0343176711238062,1.110345448376574,1.3392118425756907,1.1283486883780716,1.3577665925192668,1.0142793544789621,1.7818638827799667,0.9895817864133952,0.9510973630556492,0.9357932071809694,0.9639807161199073,0.8735345900266895,0.9628417848795013,0.9625929470893982,0.8093389405268132,0.9310150319649996,0.809318946478859,0.8919296825448673,0.8896569946203601,0.9252136424494097,0.8709416464050619,0.9140568039705645,1.0911338978635357,0.9095079656065946,0.7762846715582198,0.7294244582730843,0.7982292900014316,0.7834246667680531,0.6769934481304711,0.617427537510685,0.7261303557940451,0.6316540755547643,0.6407125637935294,0.6491128516334529,0.5660409588508187,0.5943986381844227,0.5298000094193424,0.6044283993663452,0.5253075057039078,0.45726695560683506,0.6846551077975,0.40096093362826046,0.450581069626162,0.4477995395309914,0.49782883303809267,0.5475766464199351,0.5916447503866997,0.7534173320917462,0.8140584618391357,0.9836272305015411,0.8589966445186626,0.8335045712506919,0.7219224187375821,0.6573696649666225,0.46662528616031795,0.4081160138696348,0.44661406151839766,0.3890670100415138,0.4562644710224929,0.485269060820816,0.5396681099470059,0.5226978808111997,0.49972084048701093,0.5661271563154133,0.6046047351618808,0.573174332341883,0.579361488560362,0.6819436168775329,0.5396903818985518,0.5575323459928404,0.7072399198981424,1.0706312013896684,1.0553336737563255,0.907045219751413,0.7872949454159385,0.7853463747274756,0.7623197118249905,0.6748558048692406,0.6241332446191225,0.5443324393139518,0.49212708252457904,0.5206681565674011,0.5911975480688058,0.6634820028953348,1.4367058765357867,1.0390668990450487,0.6126786706703706,0.5418933050714563,0.5105802168661644,0.5558202628669204,0.5201172153573805,0.6858574246587988,0.6754662353902251,0.7205297134426488,0.7779266150436679,0.6747777742909221,0.8534012114516668,0.8300233968428162,1.2144078725615575,0.9609502597245848,0.9032219532614327,0.7154452514716462,0.6449108987038019,0.6634503390552741,0.6702058136872543,0.6741106116192728,0.6264356184975888,0.6961561695843546,0.7791725852167004,0.7472611195324179,0.7084657837840217,0.7345716247284144,0.573274615387327,0.6342833003471049,0.6981860313630713,0.7440302283711094,1.0155972467174934,1.0660534472125416,1.189285386051067,1.50562149222006,1.273170523678955,1.2908755912537038,1.269401526955407,0.9807783574277945,0.9100287245129383,0.7230324605531403,0.6476818383644877,0.6751190520952252,0.6584359014193706,0.5836683782034793,0.7386661615611704,0.5344460395035988,0.6058717012477639,0.5640569742610841,0.5554515218747591,0.5972224674240628,0.6749287329484182,0.7952456583441933,0.7466632738601289,0.7741203824281464,0.8628855844135367,0.9388574607734271,0.9703308992379932,1.078777799801465,1.1553601364311394,1.237533851775033,1.054019311194857,1.1820244006812366,0.8861373242597096,0.8651258541054789,0.877871590311079,0.7811157311699554,1.1801190466204867,0.8960518407334991,1.1660342652776485,0.6987880649665241,0.6483304541263052,0.6966586524054109,0.7301707149717384,0.6189561005051145,0.5665766203557484,0.6667768381831256,0.7879557185153786,0.7439493584672473,0.645927060988616,0.9231437041506366,0.8320225566318121,0.8153450412356309,0.749696039875306,0.5779934978792434,0.7634318181935162,0.7172423948840307,0.8117135725993873,0.9509314249784442,0.9379731794762698,1.0669395398700774,0.8383259794427665,0.7408694703178643,0.9859106409694828,0.8727186337538517,0.7452746504446557,0.8653826426461497,0.9675679568668933,0.8725775905219592,0.8760265715940466,1.0333322092980934,1.1887065849666871,0.9923790272451417,0.963776633604128,0.8827992556182837,0.7427224916680812,0.6918608201061748,0.6677847279171384,0.6986266855243347,0.7047459392621157,0.6230202781141803,0.6696637347428269,0.7175395641169885,0.6304035138639696,0.6746429060459186,0.90526949453193,0.7693215646576484,0.7472901878020622,0.7862856832493683,1.0077475749760756,0.8832770808311421,0.832860038192094,1.2568784469799408,1.23049114469616,1.078312386983238,0.9062828500488141,0.7884174648776259,0.779662770243192,0.8934599283563476,0.7783323389513906,0.9440042782297393,0.9554551838497484,0.800652655905776,0.6500067257948571,0.543629746532019,0.4604996729507794,0.8985716161486358,0.8514771301486551,0.7711871115190717,1.193747420350321,0.9491165833449587,1.0056990422629404,1.387020011693672,1.7837377109106707,2.125566275591536,2.1707967986153247,2.396683340205716,3.6364269750323617,4.0967386576087685,5.5589812181404445],[0.6794519115224444,0.6299577573236088,0.6567328286402324,0.5513316305075933,0.4009548128216186,0.3854581359651718,0.2880876847192922,0.3138606789151229,0.31632033635049644,0.30795994672947385,0.3264608361250976,0.40906909091603727,0.35031504797176843,0.37803568813540733,0.5092146413942469,0.460583976978223,0.5337595354712037,0.5860051686085572,0.74242223450407,0.6881745232504486,0.7468061451086206,0.7605879453713047,0.8756867721754626,0.9918267078529269,0.8364787065942637,0.8241218570314363,0.6963600837966186,0.5807007320132576,0.5599531905089145,0.5059476103016372,0.5264494351918,0.48498896293090793,0.588058380208655,0.5452715523639614,0.5045278847487771,0.5587525493627642,0.508587573345388,0.581928115278315,0.6114510373449958,0.5916244001784552,0.6320612836742844,0.7443835169533949,0.7484049327880632,0.9369822095238355,1.3742715787072892,1.6414479182003563,1.813217362339812,1.1771431317670629,1.1131969832270352,1.1953589354660892,0.995207380251565,1.0710862484496102,0.990002445672701,0.6869427907796554,1.026727410100871,0.7489840235835886,0.7656632923286655,0.9306420618285752,0.8636757104066055,1.0208744086129933,0.9078171129131243,0.8124528532642296,0.7683711460151857,0.933480845845507,0.8526690748379567,0.7395836528814366,0.9187993437511842,0.7415302949950442,0.9455887603412467,0.7945742617581241,0.9593493715613034,1.1930357145459747,0.8869826097039547,1.089725711595385,0.7403577570160549,1.6302532832175423,0.7002078250499368,0.6576157360158973,0.637697451449056,0.6732880167796303,0.6012409755008726,0.7168971633716106,0.8829464432289219,0.5619133131985052,0.6850723075267506,0.5538549200716153,0.6047604613787816,0.6354220763239127,0.618643668614892,0.619307046343387,0.6401254135844784,0.820977247526452,0.6937607501688682,0.5588434197777161,0.5233726580559006,0.640430760023194,0.6510270426177994,0.5376128542173451,0.5064293511475327,0.6739779489010483,0.4889378433479346,0.5601241685958449,0.43777604582081836,0.44039242796920236,0.43243306276577237,0.4179293073745304,0.5499664512758188,0.42343896366798683,0.36823638434776657,0.6264745255020144,0.32105690618339594,0.30890603132540456,0.330370310332193,0.36496911579497676,0.3896746817005157,0.4444093071024628,0.5425975076641216,0.6274535772194348,0.7501688703079424,0.6089483716335411,0.6025258810052488,0.5372845463158178,0.5317859253639489,0.3596009359057591,0.3195481469664971,0.34918218665905076,0.32391360502466005,0.35337445429349507,0.3618512524422324,0.3847477594852321,0.420435699430741,0.381751992830872,0.4351235613715224,0.43620053531947856,0.4521563799226967,0.4935792713734852,0.6184357165914858,0.4327414470663556,0.4493324144350062,0.5535571589471828,0.9505438358646492,0.8582980138289483,0.6720516773129598,0.5700594221895927,0.5485016466474198,0.5133418599578651,0.4588038201492629,0.4255607467872473,0.35900661807535555,0.360718339771234,0.43795298656215276,0.5432301406723109,0.6586597953408704,1.4856005357691402,1.0332472244100457,0.5696844041927885,0.4412591389389038,0.4103415990532318,0.3711297232635837,0.3713553565244843,0.4895779845827013,0.4594675492208433,0.5116387872259653,0.5386893432266284,0.4937859420668383,0.6829295550249962,0.6590031634688688,1.063496641173464,0.8640089474179611,0.8258131511122594,0.5986406761069996,0.4978474986281956,0.46663669516942113,0.4511443900229863,0.43674907483840864,0.4289977190846713,0.47440914394881234,0.5980078860592135,0.4957446427057204,0.49579379196620554,0.48987100744597895,0.37364191167385,0.42694375644537874,0.47829021203018174,0.5317813482495374,0.7677269953794922,0.8051082445906533,0.953295224789858,1.3477717123912416,1.0823358884852212,1.0976103008081979,1.132542245929832,0.8686005065760153,0.8028530670631354,0.5943384009478988,0.5308802195443801,0.5834441184438295,0.5552998659068656,0.5041058255352951,0.6740385134017235,0.4916532045164785,0.5702335021063945,0.5231501393932386,0.5371161385053042,0.5982172626466665,0.67772359939976,0.8123983637025898,0.7607056499799396,0.7946558463127879,0.8789760688026178,0.9643241275246628,0.998039864773389,1.098354398951037,1.1691333321028665,1.2553712860643857,1.0667601593607483,1.1999195200090063,0.9079807371505961,0.8883356052423396,0.9034562432527794,0.8013239447658408,1.207253943012972,0.9121364817375258,1.243981623695577,0.6956585010442374,0.645742386920743,0.6878539800299366,0.669956188232471,0.5801109722204943,0.5257695374752059,0.6044377631646554,0.697266633301867,0.6922310984095988,0.5718327044230826,0.8322627014101119,0.7604876940024596,0.7455304082004331,0.6963289908422379,0.5140800588701689,0.6673064037104706,0.636476811288259,0.773661246203277,0.8910387935394738,0.8768920345297805,1.022565123612137,0.7854900268608564,0.724972215536425,0.9832213246396133,0.863400717057443,0.7497099839435178,0.883799189740006,0.9820133961097129,0.8880633156965656,0.901818423888613,1.0648278511875662,1.2046753673591815,1.024543535348993,1.0002376860476774,0.9144790723327253,0.7750748724329358,0.6993338718085943,0.6733378108061875,0.7319561461369614,0.7186694738776636,0.6305975242574072,0.6800347254974872,0.7339653571164542,0.6301111018607537,0.659603599011066,0.9152376781759709,0.7849127922545849,0.7303118882726728,0.766741912941987,0.9874008886722522,0.8655680849802804,0.8375260586039708,1.2239388310644528,1.239416252795296,1.1183014864648437,0.913301355269946,0.804330173741443,0.7942461875478666,0.897734510567528,0.7997731244481655,0.9709275324545987,0.974113872806722,0.7985984163162035,0.6463421960863627,0.4842362164899253,0.38883755368523193,0.8360728088722196,0.8737856161386377,0.7783652318438782,1.2918970335599107,0.9507361990726799,1.0058542596866586,1.4342530821160677,1.8048079973972488,2.103131962832252,2.190110210666312,2.432441324110403,3.6880594258820265,4.147753597975267,5.5765763701934254],[0.6602934472831499,0.6167592640637024,0.6506942704615142,0.5175180199194725,0.43071647755514597,0.3559867275938812,0.30341544240876156,0.31733732823146804,0.33919231345725565,0.3237902631654863,0.3382141813141191,0.408419650955331,0.3597078952638332,0.39464961236917157,0.5082882195799825,0.4643956508316994,0.5434920151553623,0.5866175986382319,0.7414640742661637,0.6863779425824835,0.7342958856595222,0.7508545527073567,0.8611003748199096,0.9949527416738541,0.8173592991820327,0.7996078062721048,0.7117935557345867,0.5832697390490567,0.5575414391087704,0.5138411247879836,0.5388782092293054,0.48392231080587633,0.567705643184402,0.5372083738333224,0.5018850550837869,0.5619193436613058,0.499132615951716,0.5825075232523684,0.6065235824157253,0.5993214840673001,0.6332478078625459,0.742349571155228,0.7668984404238742,0.9587268053951638,1.4298692511821973,1.6907781680479275,1.8955396114276772,1.2278762695177388,1.137858662740337,1.2667622778323482,1.0512398324171244,1.0965221492821244,1.0080990973513244,0.7131079359440287,0.9858958629807665,0.7579702324328981,0.7649768938803325,0.9540514080858794,0.8514208276166185,1.0198797567907107,0.9061027331317733,0.8248069706547192,0.7682240478410134,0.9297075119179138,0.8543125614401935,0.736796585470168,0.9193649000270173,0.7354508458885848,0.9038229252597527,0.8000358632053894,0.9336731338300985,1.1696368409773439,0.9045557487720766,1.1048417988324521,0.7427132569425028,1.610213296280055,0.6944315857831209,0.6593899846410382,0.6422013615839558,0.6776110362726664,0.5984549716487694,0.695987799845542,0.8447734468692899,0.557753420895164,0.7000694151805628,0.548331786112979,0.6130077483005919,0.6122321182489602,0.6232686827098598,0.617971185127469,0.6441707901414381,0.8257903567920201,0.6953442884643395,0.559648568176154,0.5191033808755164,0.63141950564913,0.6369377262009054,0.5255171415646201,0.4831170591910148,0.6404037569984189,0.4658786159126977,0.5637355184841819,0.4139644490229006,0.4176558987542534,0.4267549089650415,0.42977012198035813,0.5736538986986913,0.4552152101361993,0.39076942042642926,0.6523210377343669,0.3455701902633715,0.329288613418342,0.33633212767193416,0.38544922581571356,0.40379194516178163,0.45677018575688594,0.5489151106584905,0.6804927321029866,0.777019260825155,0.6167445756579719,0.6123939221500528,0.5435941197169054,0.5711234881344839,0.40023968558799583,0.33343018613493397,0.381934940756183,0.2945225210381907,0.3623345951637735,0.35515859829987034,0.3984843502399967,0.4578354484462451,0.42258837948651656,0.4885919007500515,0.432548159904298,0.4832492430844604,0.5422660710247074,0.6664909044370275,0.4637846575874353,0.47840000364516594,0.5833413587195144,0.9684665705354031,0.9289838325287179,0.6875172517392735,0.5866457968053882,0.5597771912538088,0.5254522566864503,0.4696472240975961,0.4359697062799283,0.3582245784022437,0.3577599503455604,0.43476715638846564,0.5036972492878224,0.6260728237672814,1.39671924051938,0.982221004873856,0.5199264916044832,0.4049217597261633,0.380966845077161,0.35475484458053885,0.35569476904365477,0.4733297372948743,0.46911719517285133,0.5285206491029089,0.5471959506769046,0.5208486969198292,0.7130706161763136,0.7202510939682232,1.1609306309153367,0.9415214632906964,0.8865402227825624,0.6366082905279067,0.5330952371807196,0.48664559983654304,0.4627608060024368,0.4311658885021891,0.41909191437490073,0.46591874088825397,0.5601985623281716,0.4874827169256064,0.48620893419507755,0.5058874499663621,0.38342458544380253,0.471781239285732,0.5142646078844705,0.5700182400284757,0.7733613156600769,0.8218681497124558,0.9385515473828502,1.343009112005906,1.1176397431415355,1.168492608797595,1.1863587311321369,0.9473782356335029,0.8829032304373681,0.6689494755066948,0.6274567957156127,0.646373671378567,0.6165136769321055,0.5594127785831089,0.7096915261780375,0.5185210330182158,0.581149358689887,0.5512044751769892,0.5777973002800156,0.6298556679783992,0.7038392432897929,0.8490143741809132,0.8052354585766273,0.8311283836551464,0.9195374761271249,0.9993723652519992,1.0473200605333952,1.1457015230455456,1.2008008076732322,1.310776474693446,1.1364724594542637,1.247162862003873,0.9701176072066019,0.9315849773071264,0.9508005387663997,0.8525661219687836,1.1982818419320906,0.967484451522901,1.2991196659820192,0.7517096144203211,0.6728833551029123,0.6990353771344943,0.6666175752787559,0.6393794031751431,0.5811868126353195,0.6200712023006185,0.7339548765930872,0.7524762227635058,0.6250236916572607,0.8329889418098787,0.8437041070270423,0.8034743349897066,0.742948071676868,0.5627612510967878,0.6937917183096732,0.6475578972844234,0.7580872717514913,0.8440690721575271,0.8188948924456093,0.963916553826376,0.7551282405728598,0.7156339182053061,0.9394218326361432,0.8483451691979726,0.7656436043568243,0.8866625332174706,0.9805164023606046,0.9111699807591648,0.9242848318222965,1.083476882021069,1.2272059561828783,1.0595686299374845,1.0373966408207238,0.9507528664763871,0.8153273851164295,0.7354601019276772,0.7123883504025751,0.7801752884312347,0.760769940925318,0.6742614455191164,0.7326221899862058,0.7804764167828665,0.6672857437952406,0.725124174932777,0.9760330221422719,0.8151550657778281,0.7868432431010642,0.8276377492558491,1.043335675159741,0.9002901441177208,0.8652967251451312,1.2449131621110587,1.2445235358738038,1.1539079320230976,0.9530053243802835,0.8711076401734202,0.8743302885402243,0.9292640778285719,0.8179233504814293,0.9779794591939408,1.0076978148131708,0.8427367939959255,0.6620182312581837,0.530269545199338,0.41630000032723546,0.8503818136390654,0.8821175161188262,0.7928932905524878,1.2510797806019485,1.0357097294550357,1.0803936274138692,1.5015986092933125,1.9231077964004009,2.235883097635162,2.3836732258794338,2.55448629238472,3.7763777611306595,4.118735731340271,5.445100066730997],[0.6616782582670416,0.6170832247855189,0.5612173180280567,0.5398442303893407,0.3682554402151146,0.36398820792176295,0.24699517549518682,0.2819982846904974,0.2729892632058881,0.25655754460749874,0.29122513675048023,0.3759771569559128,0.2909712031480923,0.3398818434474031,0.4647458808035961,0.4147237556245198,0.48981217815027767,0.5466705072485729,0.6855791132003929,0.6265345404487132,0.6880679339915682,0.6922698983975191,0.8180773097245682,0.9210027910141041,0.7683100716423295,0.7528099871975492,0.6249868056540737,0.5148166165803324,0.506617437478741,0.46183422450086764,0.5003727073309931,0.4419204924496539,0.5278549236069261,0.486757478052962,0.45228148890624875,0.5089313973586211,0.44916512727630736,0.5116982715373247,0.5206187402988592,0.5095184205399629,0.5496320615906075,0.6749755244055125,0.6707684572682028,0.8669483295235558,1.3243764235894333,1.6304835609401171,1.7828453463594107,1.0979689339991248,1.054493061583547,1.1327034682909267,0.9251940454466806,0.9620835368795093,0.8750557344491622,0.6010462851447924,0.9822719018424675,0.6543339802624804,0.6828887579062709,0.8646536399363284,0.8348323914451625,0.9361213066438269,0.8448260135523368,0.7778653165967169,0.722669960901899,0.8790858463552776,0.7963408071437769,0.6859824561217548,0.8864266744762539,0.704103677550296,0.9183749550208031,0.7612907250900715,0.9626252103793361,1.2384749365948904,0.8786513680527418,1.0600328493088296,0.7098212325593356,1.6160890366864116,0.6494868957709644,0.5996271281255571,0.5787745564993888,0.6167128380816939,0.5359409367527443,0.6402125265805243,0.8434197359400044,0.4740855025989397,0.615453110290697,0.482800449701029,0.5364790759139223,0.5590941035135031,0.5513649828378827,0.5543560900578421,0.5957276658732678,0.7895221688770541,0.6524518152818896,0.5144899688738119,0.47578907568425627,0.5770674711685904,0.5552866397359747,0.4728458598427006,0.4523639874099052,0.6717154141981403,0.43163987586481944,0.5575118394197343,0.38556764999964377,0.40805663741524706,0.4165798591831251,0.42183728808739995,0.6102166742706665,0.38214571489637816,0.3597630863002071,0.6616891859527897,0.31285445479632507,0.27431570834045926,0.2807765113319859,0.3266574944944839,0.32748794728241376,0.38656168196490626,0.4820131400718353,0.5869471082817809,0.6891054234180685,0.5712654630946756,0.5587360926354833,0.4818661004928133,0.4843895127294602,0.33817689968954623,0.2911878691838275,0.32246705467558023,0.27452625537153696,0.3278499250868324,0.30591570020574876,0.37085443715793953,0.410079235228532,0.38688203517361225,0.3893730136441612,0.4021352092502319,0.4022299867220795,0.4763067819735235,0.6320356019997971,0.40348000201257267,0.40908963282430977,0.4931264617628649,0.883345762502959,0.8068296629360862,0.6107924475269817,0.502535531995257,0.4713368621533701,0.4507851528598749,0.38837760247090153,0.3714248548107772,0.2963634231082533,0.32529893636743545,0.4073789421744519,0.5023457412704876,0.6884188456820111,1.5393283365694024,0.998073787131581,0.5450432890279917,0.3805615418110491,0.37525049599264054,0.31867939192458894,0.3301597324469793,0.42549609234447394,0.38819944878696916,0.43820819067866645,0.45333632219247616,0.42224230924125766,0.6175756482370224,0.6054504494339743,1.0141407654280945,0.8578843704408748,0.8272690039095284,0.564843809251463,0.43711519883610284,0.40232145365559246,0.39472716446368644,0.3632852236141804,0.3697836038240791,0.4002655120253627,0.5580403564116319,0.4164002431183532,0.4300538998623077,0.42303923143902106,0.3287344614213359,0.3782673436383398,0.40653482925773676,0.47071055497177133,0.6979219941955611,0.7437283314908585,0.8940734604096092,1.2991793206984268,1.0451844162927164,1.0720723139803976,1.0562148930687123,0.8202934737958435,0.7538966463741851,0.5434524469779612,0.5115969160782692,0.5671856175479639,0.5359073047936961,0.5268662704675743,0.6790945943114128,0.5271325454571654,0.609435939282079,0.5555133851893685,0.5897104622158585,0.6714652859068967,0.7362262140886833,0.8718797406623445,0.8306366744345607,0.8761723294785821,0.9328835453054338,1.0099019885936473,1.0767735055888026,1.1736936212019735,1.2095709386635207,1.3138466954487662,1.129066755545854,1.2710855829192065,0.9786016076726967,0.9565419931512051,0.989122401136004,0.9018729496063975,1.274435208684113,1.0212610075012694,1.3655867545859321,0.7611576793710184,0.7373535080320476,0.7500116807794776,0.6932991030521817,0.6822509767677487,0.613596187771533,0.6384413922411271,0.7083852737961068,0.75615002428755,0.6206915216161276,0.7998328314836446,0.8203020835777728,0.7878093575352202,0.7372365282933446,0.5614649192443599,0.6320229827194876,0.6185749515040375,0.775614475978251,0.8752880792254163,0.8942442738028746,1.020599564864839,0.8020558918134344,0.7831720545264202,1.0221914383380977,0.9243895300189104,0.8237308892301429,0.9732597613986748,1.0656813419207427,0.9744259995083128,1.0042960420707954,1.1652423816489794,1.2843429619082727,1.1258764316855765,1.1145770794501244,1.0189319242295818,0.8881937780662735,0.7904620386086769,0.7603646115995626,0.8356389163268276,0.805948443154379,0.7187469544931911,0.7651511574702194,0.8067502771869025,0.6923869930084998,0.7337860321793703,1.0026670362564176,0.8389781099301965,0.7978398804565215,0.8321072447607287,1.0598610450435049,0.9230073136285719,0.8883884543534373,1.182247522053395,1.193234144668669,1.1804660256973696,0.9257954182935006,0.8561916420644112,0.8612688968204643,0.8905302560753979,0.8255574530480342,0.9903077242761607,1.00387609470814,0.8432176246866624,0.7091418918580774,0.5151502901911144,0.39329534500174107,0.8291886735814844,0.9146574389108255,0.822630881343221,1.3927899800699965,1.0206900272057033,1.0802766687593561,1.5840135042691468,1.9067622529387145,2.142265653440223,2.381497281856922,2.606750431119458,3.842344326900009,4.236358125182771,5.525363080716775],[0.6392535683228838,0.6339104758666385,0.6289587685898906,0.523219661407307,0.4442166315153225,0.3579653337981835,0.27967079016163143,0.30447518113184885,0.32896334229655627,0.3053257394409181,0.3208490476170025,0.36496915345873976,0.32211522358335615,0.3684359031228989,0.45949531156608614,0.413611623341295,0.50217921209246,0.5402367204412728,0.6911000917025655,0.6127892425043556,0.6654752934571576,0.6762429251153121,0.7940846073495923,0.895815421706942,0.7427444162750984,0.7180925407353129,0.6289211725082857,0.5061478858583369,0.5108838443883291,0.4578684778440141,0.5011384083662348,0.45447586447693306,0.48639916841528597,0.4817181048084569,0.4436820360351676,0.49653644204082586,0.45135992426911264,0.5129781202172432,0.5157499702603661,0.5230696670145166,0.5415088198658166,0.6712030581976939,0.6916289608754339,0.9034852649708294,1.3818931700741177,1.680541512665184,1.8692215710728735,1.152621306001982,1.0864281203349009,1.197591727495009,0.9780418747147276,0.9502165853765383,0.8951489069651697,0.630909765957471,0.9666149495885517,0.6561136906274041,0.6683080982363909,0.8921749195343662,0.8159772033237337,0.9093329617126649,0.8158204526502574,0.741494667745219,0.6873031590764686,0.8540716576107792,0.7932073409897268,0.6475171044435404,0.8688440852514897,0.6936279766952206,0.8766133202398195,0.7678072987939601,0.9303069591511705,1.1935493758826607,0.8859992974895008,1.087828454448086,0.6826635679152784,1.54200286695093,0.6214661463181308,0.5798645857825966,0.5548017938613659,0.5869014413545482,0.5336845796267821,0.6129354738682802,0.8346603270445523,0.48143295883619724,0.63570041772107,0.4863093684952633,0.5425442997456315,0.5569009112191146,0.5350321299727859,0.5619835748298575,0.5858357205905733,0.7741858358705981,0.6490704893600332,0.5004182250707366,0.4674544102724598,0.5622149645031822,0.5694732167459383,0.45627185485446603,0.42458284378698824,0.6347337655402958,0.41089979459731724,0.5589460961222545,0.397027032997972,0.42092583556982094,0.426658374571432,0.4515598796749335,0.6422862054336116,0.4348333807992837,0.39780895807518624,0.7020870833126427,0.3753596906593335,0.2941090142451605,0.2900110082344011,0.35121259184973047,0.34500218798751175,0.40148018276254765,0.47552261939780893,0.6479378401151326,0.7059971856763791,0.5592247241895384,0.5680231182815454,0.48061516364307305,0.5268997547944254,0.3694224001109816,0.31884176199217346,0.37157202573752407,0.30852630037508166,0.37472344307825434,0.3218885927446107,0.39132351097858104,0.4530898802924909,0.42679299062219994,0.4280293650395126,0.43363326646224815,0.4299903361864897,0.5320907138086713,0.6095274007811374,0.42756063885051804,0.43909566492168567,0.5217450530214441,0.9017583995975812,0.8876108275180361,0.6121089846222588,0.4960767240506496,0.4710593578235812,0.4602946256649853,0.4037139012856837,0.3912612830525026,0.3180013422285358,0.3482517005775436,0.43360792945214155,0.4794802418003349,0.6669737042341131,1.3901769104647876,0.9384569295418401,0.5054432069463265,0.3657325408445184,0.3715435897906859,0.3354806380729884,0.3579200019759347,0.41961713428528846,0.3945150985755702,0.4410032105300055,0.459865655457311,0.4677668021188581,0.660269951927443,0.6688950001509422,1.1216518559907929,0.9342282843596476,0.8930872789556785,0.5921558397998623,0.48215691722089776,0.4365342916646667,0.42010062879069704,0.3748280286201983,0.3655057840949818,0.41004748512637645,0.5430742333919995,0.41498081814932175,0.4250672575729176,0.4533104991946806,0.3612358649486736,0.4088364729915209,0.4601044656698556,0.5187144005591433,0.7316655806518433,0.7797574642402078,0.9086845316938669,1.3052872908065174,1.1152843275624775,1.1306532328013479,1.06093442393423,0.8651367919482043,0.8096298727304347,0.5956285431674904,0.6100750115446539,0.6287605014578859,0.6200972280419477,0.6020473830599226,0.7398826251954884,0.600031092486716,0.6521875363917878,0.6126803521391206,0.657768964292562,0.7471861524014645,0.8113831134141649,0.9323825638217418,0.9236345293022343,0.9543360292767137,1.0208829074563388,1.1043877517249032,1.1835080614691067,1.266089769419851,1.3021761449003602,1.426522234383094,1.268759809073442,1.362245938889041,1.1074226255698254,1.0695538871957366,1.1075298199335457,1.0354193265547882,1.3148065431950966,1.153795107478601,1.41998407017843,0.8666087165195756,0.8192005889650468,0.8140988278669529,0.7650244652907439,0.8101529442062819,0.7271084842075505,0.7063629565044034,0.8127704778110697,0.8677033055003284,0.7164864985858983,0.8153212485756004,0.9496296036767187,0.8806513146097982,0.8036700722613623,0.6368554771393934,0.6645970649674412,0.6450083137550487,0.7798111562199785,0.8300197299497741,0.8591285740810316,0.9511275011906246,0.7795725626098253,0.8014926094350717,0.9663735658588821,0.9039017677389372,0.8555849238003215,0.9973973691739888,1.0857480245378857,1.030759739110262,1.0652656862377872,1.2111924831016143,1.3467732968817723,1.2005457059501776,1.187083290634385,1.099908410332162,0.9602825603413518,0.8639928978600534,0.8419109857881345,0.9403936923637368,0.8976453804859437,0.8125465399276479,0.8867775450747871,0.9194033519823728,0.8006639630074532,0.8751646073810093,1.135230291083626,0.9397801184346585,0.8952617422042305,0.9505780223922088,1.1868711510555126,1.03800283251215,0.9868153501466536,1.2787507444051587,1.2526499301846625,1.2747843249735311,1.0357252594914146,0.9885619885743174,1.0359636929954457,0.9946419278528771,0.8968556686654956,1.045336867198748,1.0355462985502772,0.9082892852758259,0.7362723097504361,0.5962818073618837,0.4544797505249768,0.8752900353121909,0.915951404658974,0.8495086940469443,1.3474165450465674,1.155053689142569,1.1848507124676355,1.6610508050334751,2.0606621244704084,2.303337302446673,2.6081317354124534,2.7130862690511535,3.898313161005481,4.155553040002191,5.3046406993722375],[0.6203275167353783,0.5843726615109629,0.5511608751645399,0.4929035592928661,0.41061756924107773,0.3951743043226877,0.33083035790253956,0.4010757419526645,0.4134263615568648,0.34405332850527365,0.3646549157111554,0.4285155810279903,0.33987665096820374,0.344965753000846,0.4346326903200679,0.3895627354323134,0.40271218317351704,0.4415052386150081,0.5406080667473224,0.48439176228841085,0.5331649942537543,0.5428610639406846,0.6681885931990587,0.753423408914086,0.6374992319173827,0.5880505712702517,0.471055762968304,0.39654513514285583,0.4066289172063609,0.3929003984615563,0.44921091570940125,0.449321151907,0.46663104637587216,0.4458101815659737,0.40943898672982926,0.4122694742312687,0.4190887839591458,0.41968332300354316,0.3944980936139941,0.40646172140640635,0.41938592393818513,0.5557699056178239,0.5504706405885467,0.8006449367188863,1.2954789698412497,1.6686440885169795,1.784548576576902,1.029060945709789,1.0230379974987482,1.106754703600151,0.8646594484205149,0.8555096121098724,0.785776514328399,0.518448365477067,0.9203935097355329,0.4999519547209135,0.5147193997685964,0.7850877942362827,0.802472769316099,0.7944708230920629,0.6806897067983412,0.6524789359597288,0.5813043141213395,0.7326037152321097,0.659352534983895,0.5458144216469054,0.7372977062718117,0.5630550678647013,0.7740805771801328,0.6547993511728027,0.8639704737188956,1.1368485926256973,0.7794326962015447,0.9242227757690118,0.5993394989102235,1.461266939920897,0.5011315765159666,0.47065932364940277,0.45115176929035744,0.4941938106556531,0.4531732574653008,0.5118233833392627,0.8623101051410397,0.4416214237486603,0.5243135752060014,0.4036577360656454,0.4232429073461946,0.5164274805080828,0.4256302493998879,0.5289307686004409,0.4817499692885779,0.71018696675855,0.5840724536539713,0.4600237358754596,0.4443284376408378,0.5222302659578706,0.5428337796171034,0.45786325550284185,0.4591042222431145,0.7069159631196763,0.45120353035536687,0.6480153168186096,0.4447498206716924,0.4986354354293662,0.476441200755474,0.5082027967483982,0.7250642755803633,0.5036536774425767,0.48103169072326196,0.7425827530092319,0.4468415047774975,0.33973525798938364,0.3224529404897744,0.3480120292643887,0.3189434541361877,0.32863723611993595,0.4009504225371747,0.5256107631548081,0.5791730084120531,0.4769046778863341,0.4786220031811658,0.3963016162138657,0.4354493157171061,0.3229823727176964,0.31388440262161177,0.34140701972534176,0.33995056559509884,0.3892577940796763,0.3559609179479148,0.42267375053145306,0.45000380882254576,0.4715162261781216,0.4284530585472683,0.43152945435902285,0.42847735228566697,0.575399981173521,0.6304124169863903,0.3814495298429873,0.36903174486341767,0.418250973994708,0.7694818372109461,0.7383373421092309,0.4771860452935352,0.37599275551855754,0.36000556696256397,0.3633211399970677,0.3187447442317681,0.3647320204917347,0.3311822923405536,0.4051569716977897,0.5388545163717217,0.5672429837585078,0.7978002966536057,1.4352001814159414,0.96096795622879,0.6072141159687251,0.44946890935810074,0.49329110907225754,0.39618966203828004,0.42088416267781753,0.3647451785202157,0.35455950920712526,0.33484395583800647,0.3404561649138401,0.3842407335410304,0.5904331092625232,0.5934573337566368,1.0148070286970228,0.9001241222440326,0.8798074288557466,0.5391901813074587,0.4163764090874329,0.37582079345059294,0.3858329191734869,0.3368115964734816,0.38871284394702776,0.4222485446434661,0.6094331940404932,0.37882502424308717,0.4681961330715223,0.41123576194147066,0.38956573035304665,0.40250073907830614,0.4386858936029033,0.45829902792863625,0.6076501544230035,0.6359868451244411,0.8074686333614335,1.282696808575541,1.0195934386819114,1.0216448377368725,0.9731212470635074,0.8047168481137698,0.7684519628852371,0.5573024494898289,0.5646037320726073,0.59931723968989,0.5796278068381471,0.5999004243493768,0.7312976396000547,0.6831710376332844,0.7576281257792268,0.6774762395812381,0.7371172643277186,0.8598656003109449,0.9170772257891984,1.0052682559297432,1.0112173513700122,1.0852389911617548,1.1192158634735383,1.181104134130179,1.2826950572903075,1.3755926533541327,1.3690153571784374,1.480473471481435,1.3091063284165307,1.440487001868235,1.152993903776325,1.1392843916941768,1.1952249753429083,1.1176663967832337,1.412866303891067,1.2481297541025922,1.610951628617238,0.9867112572654406,0.9579031189959496,0.9493548519234306,0.8674910027235808,0.9075321618025358,0.8344135539361298,0.7935203573589088,0.8523242190025039,0.9306709536173773,0.7638369186454577,0.7984285819904865,0.9505375493835097,0.8810314070077415,0.8367823848094014,0.6769712149730667,0.6708335846979,0.681557840745449,0.860908833351405,0.9024096813947684,0.974587047788888,1.0215884661943757,0.877161421556617,0.949301562011643,1.084353568237025,1.0147861944753378,0.9998006410150074,1.1531269867868879,1.2283570601682008,1.1634095102690771,1.2029073055742978,1.3466209064938246,1.4508525787737834,1.328115170419852,1.3298229295965078,1.2430043621495506,1.1244247814131483,1.0162064291933155,0.9826771179990953,1.0855951434082216,1.016906451089028,0.9346311921818158,0.9909581730806174,1.0128886761477576,0.8764748954677293,0.9400834712241226,1.1989418146875341,0.9986618554437784,0.9413149912653449,0.9934543794647311,1.207879520872486,1.057562749440562,1.0287165631191497,1.2229543204991236,1.225298191568754,1.332038232989599,1.0236353792957196,1.0281126296115424,1.1114986181811275,0.9636375320447041,0.9342960262137422,1.0775343817847276,1.0739248883304469,0.9493423612761522,0.8110741411538309,0.6031172813580555,0.4401245218485853,0.7834464753505402,1.054088386205689,0.9932001389094686,1.5342834681258637,1.288614630955487,1.2918101903452115,1.8095500470016004,2.1331294954876774,2.2875679418642605,2.7176664282970333,2.8429466814494004,4.003734586515513,4.2486671247223455,5.229447489630672],[0.5983190187040505,0.5595853830238939,0.4933132867878534,0.497541944390291,0.4126905628819132,0.3967829048573767,0.3090481781692448,0.4128697305147432,0.3925560392900624,0.33824259243306104,0.3602652080095762,0.41632662995596,0.3484056756924728,0.3899108703042735,0.5012627284845399,0.43145065975409086,0.45012179551478326,0.505882164366717,0.603765475597126,0.5581311816910576,0.600834219089687,0.5927781350687885,0.70606475388719,0.7850698529524364,0.6549875267025688,0.623365355407327,0.5095620460354335,0.4429612231530363,0.460040974363941,0.4554936447518571,0.48449192397544927,0.4801279568093435,0.5368380412857323,0.498853207908462,0.44795210849266914,0.46563203833531086,0.4575445268963756,0.4654211154966689,0.4302927988502365,0.44079598884147414,0.4391952747911692,0.5556105740241433,0.537743325367923,0.7430809291551664,1.2152651184405538,1.5996490088680122,1.7124048849725673,0.9543634933222522,0.9781026765449582,1.0250977009171507,0.8204089412675876,0.8248294039220225,0.7089453251518769,0.5298103708479296,0.9632308514962049,0.5342111028079587,0.6206343233702079,0.7069185034173904,0.7738802932860408,0.8566715947620236,0.7502455286786213,0.7101063748261813,0.6615033664797539,0.8038562381027659,0.6997537970368723,0.60269442442023,0.8192892975064254,0.6472141412738626,0.8377919323826762,0.7281719332104752,0.9389405199906679,1.2068495988677617,0.8561475833965634,0.9814267717358467,0.6620398027608532,1.5195783477110485,0.591159809790924,0.53688145613281,0.5141165467115284,0.5410882650168549,0.5107916982720551,0.560223658584282,0.9205495057515867,0.5014659194993358,0.5157396376190808,0.4541988552573316,0.4556044249471569,0.5512827646917846,0.4810110314004702,0.5455200902826356,0.5256212689439566,0.7175193974349496,0.5988365243479904,0.5045573742335814,0.4858226731267963,0.5771435529879254,0.5719788218578148,0.4994488165886271,0.5015440145026658,0.7700455466289218,0.5135063305814686,0.713193383994181,0.46186128117817926,0.5464033495553503,0.5228930799055992,0.5164725114019313,0.8138631781220497,0.4982120759309348,0.5056818332665496,0.7702410642837481,0.4493332603072921,0.3557137259582112,0.33290352855775107,0.3918782034182326,0.37591084931983687,0.39412056562582826,0.4477593197706317,0.5593121764393396,0.6004115355829257,0.5421247009669441,0.5213880092332394,0.4696039276362096,0.4678075438202776,0.3730296898923213,0.348978237674855,0.3677644772552649,0.3340888850688783,0.3582316786142255,0.3550582355896911,0.41580705446990607,0.45349623444235504,0.47373430218331425,0.43232528262113445,0.4277135244756668,0.4405050413692602,0.5437225509543859,0.6790139969250092,0.3954013913467408,0.40286579407522144,0.46913806164156574,0.8205575573177332,0.7439915732257191,0.5174417817384895,0.4232397632374153,0.40003459823747634,0.41039634428834026,0.36355522466752804,0.37987854156894824,0.35643394896222413,0.41344841492996925,0.5478931221097377,0.5864443942203693,0.8509971517551611,1.621443869449963,1.0023994169825645,0.6720013210887315,0.4953342734342205,0.5322761914448574,0.4154935154613449,0.4387113690991057,0.3730533105726563,0.39579719901724636,0.374759798208978,0.37462010151260217,0.44953910860023394,0.6218483239908166,0.5909808087517391,0.9672212093563739,0.8955016466973047,0.8772747993714954,0.5730125593172217,0.43968882343888066,0.368591886033444,0.3792028496480144,0.3548117630350366,0.4429921877346668,0.4574169500254495,0.6335018053755657,0.43509014901694865,0.5050301461570302,0.38293081182003313,0.37232313505131487,0.3928304877528602,0.4202655968623754,0.4524043590959525,0.5909814179335942,0.6256335091862208,0.8054540258233783,1.2189357903542177,0.9698274921390039,0.992543566739212,0.9642732035466987,0.813136484627437,0.7676703019595482,0.5578593585002337,0.5307808601970206,0.5900250192827109,0.5627993418308982,0.5623028040542617,0.7054018555818252,0.6873720066971847,0.7817252181168446,0.6791687324731339,0.7345603702721624,0.8687414688180504,0.9146743800735345,0.9940055044964607,1.005971462929583,1.1124737726235154,1.1039698896308958,1.1757725320015366,1.2995870778331937,1.3888883639450869,1.3448420846863336,1.4758294590909637,1.2735564586211103,1.4799286503407736,1.1704222798885489,1.155668944969137,1.2234643691018232,1.1485404906664356,1.476447000826195,1.2941540487467345,1.6886277268586116,1.0165876192218792,1.002945907970915,0.9900763106825785,0.910715339916403,0.9179519573852379,0.8413589731081074,0.8071163071652998,0.8274974738977032,0.9154028458183157,0.7343176730911608,0.7720463439628279,0.919896607550467,0.8396379380929175,0.816205763728919,0.6413031310287575,0.6586017231492118,0.6851660310930827,0.894049984803577,0.9593227214163791,1.046556338506265,1.1064991612718027,0.9312299570618124,1.0209938993454928,1.217455047950349,1.1196846224244967,1.050153686346596,1.2363333726716055,1.3171792096165573,1.2192663846020577,1.28363885107019,1.4548204583045863,1.5207532298408284,1.3992574105339475,1.4183838894008307,1.2989666022217354,1.1899808770513132,1.0606690248516106,1.0294762395407198,1.1330586497774877,1.0362464501179982,0.9578637062749407,1.0129276142769463,1.0371441094272074,0.8759762277943091,0.9228993835364274,1.1967760915243044,0.9884721907889622,0.9061439350397824,0.9813334649665157,1.2051752734911716,1.0583711586961235,1.0345191268258391,1.2102380637855357,1.2415394095317709,1.381733951522851,1.0226206071347412,1.0006834189268117,1.0599517770572544,0.9462831253850422,0.9395551764433026,1.0799178597855408,1.0649664947866837,0.9283449989765815,0.8446297692792268,0.5804018511807637,0.45336868003273667,0.7662354411983897,1.0962103837906971,1.0287199871989627,1.7278162640550259,1.262869948745524,1.2785633845439068,1.878762122437927,2.0741955986391254,2.137620303028558,2.6439421630609194,2.9192609875407856,4.114531440054673,4.515295569725772,5.51571383334845],[0.5800994610267252,0.5507505789050867,0.5061945554480093,0.4414000127637452,0.4013676556731158,0.38502383478450436,0.30529758058111267,0.40267780323038466,0.3489610940528171,0.3120355535093107,0.35515180280957204,0.42730427310205776,0.3319226856386739,0.3402754653985157,0.5062221001806716,0.4213084672924842,0.396827484569027,0.44432302090016185,0.5182194221666426,0.45231611560157947,0.4990204171264578,0.4982191967522558,0.6173553369247368,0.6692054233637568,0.6068699099235597,0.5483067895514507,0.41652110325488495,0.3735198066785206,0.4045065275625843,0.40504070656065555,0.4798557244355542,0.49080168226628607,0.49615329082069903,0.4789633881020676,0.42433063514495223,0.42058593916495013,0.4224675417688124,0.4026468973773147,0.3467299500079021,0.3463851040227152,0.36913203858651045,0.501660160760308,0.46473274858089586,0.7293167287923061,1.212935159386773,1.657285283430996,1.7108199620639257,0.9211100854813955,0.9851377936931255,1.0077662337174902,0.7941270274933152,0.7595340243814545,0.6749125956327651,0.462797969011174,0.9151779679826499,0.452924529303046,0.5099665902577751,0.6807291527120154,0.8079447118740368,0.7579369156859763,0.6495192108192015,0.6657039806012223,0.5761488315277444,0.6964071687992549,0.5934225838173884,0.5236229554100278,0.7186934776647277,0.5539045963232124,0.7449812748233631,0.660707563992223,0.8863733523163082,1.1597510241810882,0.8018182201469667,0.8767169082911265,0.6242998677987408,1.425428908165375,0.49954519446247014,0.46552206388321926,0.46281472537349005,0.48207854277024265,0.46491156355015617,0.5005944287938267,0.9066323333314396,0.4866891886910184,0.4235727752917355,0.39832797335397935,0.38517224562543195,0.5204455892799046,0.4221254300597301,0.5285089636848425,0.4865163750562885,0.7065417494176573,0.5710922944424519,0.5057507714771426,0.4884260742235679,0.5716451913944686,0.5794048219978062,0.48559255224460735,0.48568209395339895,0.7224410371487101,0.4904271403039029,0.7209416006786855,0.45483167407177677,0.5221497287979483,0.5387416895416245,0.534810324848355,0.8648469215162535,0.5450274935731025,0.5596291476191269,0.7773776089632072,0.477531520433277,0.3513490452044118,0.29842703000862936,0.34920145948825443,0.30953495272200693,0.30095225165776845,0.38215896204878086,0.48599436984125677,0.4958380407295489,0.45678050930750236,0.42420199999086877,0.36847230831533306,0.3946853628475854,0.3064788325417115,0.29950186869149004,0.3220736016399637,0.317157904441004,0.35561101770239734,0.36366299416322695,0.4240595176567384,0.4519616242627319,0.5113083009088157,0.42310101545754186,0.4527850692015931,0.4275867380581174,0.5292453372391205,0.6934109005008091,0.37998153179548827,0.37121205998073287,0.38216888570712054,0.7189266249898543,0.6766705238187118,0.44681502169929427,0.3489427893645744,0.3169926569705554,0.3288059941594881,0.2935144127443248,0.3286153765042354,0.3234749240434658,0.37370379836483525,0.5425829124297062,0.5464755717931874,0.837964039808265,1.4424281860099113,0.9002583789996926,0.6311188670594824,0.47077664082906817,0.5309369506096117,0.40250290729494,0.4381683643013263,0.3217911871931017,0.3370129891422154,0.3079812504485731,0.29597157495716614,0.4222048313941872,0.5492989312385245,0.5465311323385967,0.8990598589598563,0.875399008243108,0.8676727977857949,0.5342821469679494,0.3915553697521237,0.34323567058481497,0.35910754261082395,0.3291016965963102,0.4178949117525148,0.41044573072613494,0.6264648757843599,0.4040791411449721,0.4899017317846497,0.36799981964005674,0.3715194084151508,0.4006214585311,0.43865545996225125,0.44059301703967824,0.5406100660640468,0.5557282207713303,0.7902765383349747,1.2216192788644846,0.9182402671866579,0.9187327762558402,0.8098558274317197,0.715353136708182,0.6906036205368684,0.5112089898588724,0.542680034919556,0.6233525790877309,0.5771370854922201,0.5963227013997491,0.6939668075928117,0.7613212753951983,0.8457389689918072,0.7138776275685315,0.8015035603426267,0.9483751852184132,0.9771083888677435,1.034505880382947,1.0719255673707648,1.1818078017943983,1.1515716644480698,1.2266213704426359,1.3574198243046016,1.4400091103197936,1.3786763913765907,1.5109624792491607,1.3136780147800549,1.5173762443795586,1.216672115331807,1.2256607282447707,1.2892097039428507,1.2269931745357143,1.520779280450994,1.3815956779426521,1.7768663511229594,1.1200500275227543,1.117928280566881,1.0972070030672767,1.0193968613639592,1.0475328377286541,0.9517259177086236,0.9129343445706326,0.93230306646485,1.0149072323554413,0.8374576822779906,0.8195039201091157,0.9862570517227085,0.8873360253577349,0.8802582814384444,0.71922900853638,0.7135078879977799,0.7551000734170084,0.9585246153671555,1.0082818656374486,1.1427896262387083,1.1393269013271794,0.9988061111301119,1.1049142102444702,1.2571782854062097,1.1568886189233452,1.125904789154325,1.3058384073500366,1.3728281068697985,1.2878647140267245,1.3497315129419776,1.5003395799220405,1.5634071241728942,1.4511782042735166,1.472507736581681,1.3686909602927024,1.2738694908131463,1.152857724055731,1.1323083248295154,1.224181035777662,1.1199128043577438,1.0571530283755919,1.107173193367821,1.1227838998946513,0.9632657993044081,1.0127686575818535,1.275432176733835,1.05043380606396,0.9611172136784892,1.0567647394793505,1.2316392822176734,1.0939719658752445,1.0799958139308048,1.204960336101266,1.2526767298885344,1.4308809325570704,1.057832197271068,1.0537000176192002,1.1287400057271093,0.9844543609235878,0.9980889044627942,1.1158053156150838,1.065080885422563,0.955694771125977,0.8780799850057291,0.5795326097494927,0.44538673790416367,0.7227328956164798,1.1188720249646904,1.080789074247043,1.7444386148344377,1.351179194592714,1.3496705419167765,1.9512126230894755,2.121494740577366,2.135409506197357,2.738146218001896,2.990164025959358,4.134529788865184,4.459336348879141,5.296808069332156],[0.5265872895259651,0.5786867904778807,0.5715100405826827,0.6038405521796434,0.6308016550767609,0.5395725720418909,0.5203532186808485,0.569761416346335,0.5543234791133343,0.5592234309657464,0.5609402697899666,0.5606682316870516,0.5425216504845152,0.5973774925349745,0.6168276562798721,0.560378160892253,0.5999159038843743,0.6295749062624707,0.7286939131710991,0.6649857618512883,0.69113685560979,0.6810077164413342,0.7891320503451267,0.8235619557134483,0.6940187454434181,0.6832914652067987,0.6445114070339905,0.6353756479072927,0.5919506064300486,0.5861896255821883,0.5982273841289565,0.6047775892942626,0.6509692739330049,0.6203689607591307,0.5928629045639007,0.5990477595085488,0.58598305556815,0.6157073984747239,0.5931940097869439,0.5960903972451431,0.5961946572052311,0.6268724960554106,0.6172027522594487,0.7243463996827346,1.1627203989029702,1.579554257145396,1.705974075610478,0.8769453906994445,0.9281690269017132,0.9555454924176837,0.8362326887701496,0.6989010887918127,0.7468253902657136,0.6278850187219488,1.0661888385232754,0.6530593744716459,0.7158711634836191,0.7609875631410695,0.8750129942456838,0.976918870995948,0.8278166877786163,0.7394318903213948,0.718600004172797,0.8451869869437014,0.7642497440264145,0.6871334926395222,0.9290016906552663,0.7779355024476681,0.8832543323708307,0.8538059464550262,0.9760685238497254,1.3168046260937567,0.958656717532342,1.0348089786563321,0.7693983768305765,1.4433051803807755,0.6975689682731225,0.67090429276018,0.6478707868122491,0.6442214336842333,0.6602463058404728,0.7229902747131688,0.9666000086912006,0.6622177932493661,0.6377701456514442,0.5839243900239863,0.605258856519249,0.7236256975867752,0.6071822154732096,0.685208054942152,0.6667306307223518,0.7705742137002733,0.7170822421488445,0.6302393862289949,0.6093088789290796,0.6911693931190792,0.6849093665783172,0.6179854538483346,0.604325103830335,0.8028904071135589,0.6227162667647781,0.7859789578534859,0.5879330327871671,0.6719482027814477,0.692010374219335,0.6806491006535634,0.9594077952963742,0.6208682175786254,0.6339025534040474,0.843082769502092,0.6163222396322744,0.5474415678377818,0.5380209510150303,0.5816532126747765,0.5747338982115482,0.612720956409688,0.6694956238959234,0.752585195588169,0.7901049338880739,0.7143153561187676,0.7010462701872788,0.6637143835399993,0.693442778537465,0.6302089420277084,0.5777666339167976,0.5995593790584933,0.5571686255198135,0.5664352320918355,0.5820100590359246,0.6370325822513068,0.6838190602932605,0.7385841155478181,0.6278670152924802,0.6239218642197517,0.6218598226832537,0.6625226040310914,0.7500281405630619,0.5842021390922969,0.6192902518030838,0.6619201865087149,0.9092171809252766,0.8730398552713013,0.7008756342483672,0.6175518666377585,0.6003483333266553,0.6006455073419766,0.579846693106692,0.608608182204468,0.5477374951096897,0.5873063176920568,0.6580423653902931,0.640503097250708,0.9012922440399084,1.552330568661298,0.9323881392659191,0.7167755401687265,0.5840264056808853,0.6592477176483248,0.5573866784758774,0.6122119898886363,0.5737106707500776,0.5971350939650024,0.5859814912545188,0.5633766897323346,0.7174235731440334,0.866460334060725,0.7069172416664612,0.9429564925990664,0.9360541291048822,0.8937267823198182,0.6709309861237376,0.5799886552758817,0.585858138035161,0.5821294171737679,0.5605811578059651,0.6191654322741584,0.613235940719134,0.7753996051081581,0.6000345509690357,0.6394891098466426,0.5627413305084114,0.5720071644056428,0.5984605912148633,0.6225698152117448,0.6087699916711843,0.6821524586586277,0.7318460857628657,0.8851608740509874,1.154504197366059,1.1297718318811298,1.0795157072342025,0.8597264817758975,0.8798889354608254,0.8417921363791129,0.6801359977706779,0.6533846396948477,0.6264004584002588,0.6997751705903059,0.6728128419935743,0.824483525494444,0.7868157310972176,0.8689955809841934,0.7569240287646355,0.80103747821319,0.985780326119583,1.0086033221560928,1.0101112450292546,1.1086377748895258,1.2789098572821278,1.1956697322256733,1.288249848619912,1.502139516608149,1.560853764428856,1.449845986249666,1.6708516069063075,1.4303778063780355,1.7157757467296058,1.3355841020537897,1.3267435764461872,1.456813617243057,1.3973812577344955,1.7237971904447515,1.59113937920277,1.8984622507823206,1.2361497067808005,1.223641996786446,1.174399908374575,1.0845335624213013,1.1423559934953165,1.0032951254479527,0.9487492974186446,0.9787716342052237,1.057509028683082,0.8730523975940242,0.8512996726775631,1.0375783038929276,0.9204901057031467,0.821021328360379,0.73010170353455,0.7569215636489448,0.7831964265266711,0.9898424274747135,1.0395976764564625,1.215512107865359,1.1786354787474398,1.0340656002911979,1.1849063629392342,1.3422535954306891,1.2137895523886024,1.1953885745762178,1.431864097259697,1.4989364646529653,1.395012935423313,1.5163413520467037,1.7000383105127292,1.747614245622839,1.6419074262585944,1.7039095892766456,1.5553055394153954,1.4424776271899513,1.266796160733063,1.2554319901352011,1.3904985224265856,1.21611692477265,1.127594605590278,1.2154086665523114,1.2211998915080753,0.9999441463116494,1.081773033723153,1.3604085152184398,1.0786956395222698,0.9798517275400045,1.0988577194128282,1.2850805998356922,1.127632497407695,1.1015260645734422,1.2391418870284823,1.2620512360202367,1.5091848374376462,1.0658864214582136,1.0792552751562627,1.179980249525699,0.9606260137632816,0.9700705240672234,1.0932184319054024,1.0474052210004754,0.9724505511633368,1.0056854037730218,0.7193378124368952,0.637178140835573,0.8400468925181512,1.0715878997804875,1.0794686603853507,1.7914781022169388,1.32741414018882,1.3916295756621835,2.033009618691685,2.142065124440572,2.1123771993710507,2.797660925760287,3.116358769623058,4.208965906409398,4.677636307527569,5.488937887151052],[0.5080874532480386,0.607917353921216,0.6291420275440496,0.5997018524173818,0.6439097482906445,0.5537131008809607,0.5103380258677128,0.5944161896205276,0.5099266997493338,0.4595005199038133,0.477365316399313,0.5278845893142454,0.4837311666861891,0.4566256038806669,0.5501674676616298,0.5015020118109932,0.45260502471279634,0.4699475588156906,0.5302297801836553,0.49654833735632,0.5341668887666516,0.5217700544068145,0.6394707409008177,0.6926645712681329,0.6306872435235678,0.5631915810812583,0.48307061488878245,0.4762670475154198,0.4610784114196049,0.5006611898494205,0.5072733521133453,0.569606394305781,0.5855720962884349,0.5594718157905515,0.5302527659630802,0.48801391525181004,0.524341501665143,0.5117797620735518,0.4749465153686441,0.4739598211993746,0.4499887167014237,0.4581865927395401,0.4366454518568861,0.6299982742175632,1.1290505012657788,1.5847812206863017,1.7124080764889174,0.8537644271260277,0.8970066843060374,0.9490547709121954,0.7797244021168347,0.7444560122055097,0.6825861426192485,0.550752911106388,0.9908211906632637,0.5376460951120536,0.6465975286555801,0.6118656009277114,0.7590718785380981,0.8827447345650721,0.7139281727119937,0.6996427549717593,0.6472729276321315,0.6924239461882953,0.6109046655667799,0.5868268696796564,0.752651800989262,0.5837830352640645,0.7614901115822158,0.6851295510088592,0.8680040373099632,1.143636113975504,0.791693698642206,0.8801846357031744,0.6404323835251678,1.3636333069722233,0.555483539017668,0.5330287400051182,0.5535015824431664,0.5402014583087632,0.5314734505807821,0.6023141556507856,0.9306977960104817,0.6321929459841292,0.479132678044922,0.4772261221805324,0.4685683111187436,0.6578018833964426,0.49261796154222703,0.60858273078338,0.5259041191833833,0.7158665085280548,0.6046561159964248,0.5696824138011324,0.5470171070773459,0.6374348940770206,0.6387343777897021,0.5907369820756941,0.6129102127209345,0.8571695650968489,0.6424429182039693,0.8636873096290756,0.6158345927085304,0.7105877856404156,0.7313195498090571,0.7146474051003124,1.0025500436128834,0.7333082496388037,0.7421879487519465,0.8701273734387406,0.6905921060930512,0.5633181602411573,0.5211269181054065,0.5214550098276476,0.47038387271390864,0.45292747454029725,0.5152606699403176,0.542368586670774,0.5586107989677342,0.5698422510478296,0.510936944448892,0.4902083111966484,0.4943747957746469,0.4614408739113889,0.4614370466563617,0.4842623890980635,0.5302667180398014,0.5701299142790386,0.616957693521152,0.6503113940007934,0.7050373324057235,0.7852477463315056,0.6679477883395426,0.6380608458538604,0.6278688540275453,0.7309775161406105,0.7483599487881295,0.5154928070160901,0.5075870014740007,0.5029192690617129,0.7358372761646517,0.7481173344721704,0.5033224966966461,0.46182195791361813,0.45697005224525755,0.4833801595174191,0.46207850650165466,0.5381406346848832,0.520216119853806,0.5740461601669616,0.6976186201731238,0.6829539031655077,0.944895656153311,1.4383910351988847,0.9515777713515031,0.7644603592510206,0.6295267663081603,0.7007903520039548,0.5694355936150219,0.6307772158499299,0.5107865160209604,0.5425164187447205,0.46663644582338787,0.4351321717770762,0.6336381248373687,0.7413652177770117,0.6694292805268671,0.9754837985360914,1.0094097245696938,0.927774477595999,0.6451185412128528,0.5118977825836492,0.5082525781303999,0.5173628627111403,0.49512942813318467,0.6222233819298539,0.5881907413014102,0.7733028566550717,0.5635502212589815,0.6433508689109567,0.4792192265732855,0.5665942212829476,0.6038852097544275,0.6483208991694619,0.571815497963025,0.55522227481948,0.5746451695788671,0.7580395428936796,1.142268123587567,0.9678407027382986,1.011989973703359,0.8880906534183736,0.906477114893475,0.8998609358333032,0.7340374387413793,0.7144561265339149,0.6960893814521506,0.7644153794263687,0.7501112499296817,0.8817337209634314,0.8686441992652495,0.9394464683368112,0.839613065057525,0.8621448374800366,1.0418378351812672,1.067039963109389,1.0421696529710913,1.1248483164335148,1.293796632124755,1.2187249262800441,1.2613158988928284,1.4580450406254761,1.5347567904198223,1.4140578369650665,1.580387578004394,1.3898229387988021,1.622391659320614,1.319493845488163,1.3222674495618894,1.4283483365347072,1.4120849923472403,1.71896994130911,1.6299397202718777,1.8696921416474797,1.2591989818931169,1.261854168909466,1.2489695290895826,1.1561102116465662,1.194042305669521,1.0722564723219117,1.0343939760473044,1.076103396408114,1.1374729396460588,0.9691148311009339,0.9238862798733887,1.1164522389102713,0.9846981409066359,0.8863711939659156,0.8090300203007602,0.8500538581773125,0.8677188272193983,1.0516739794619718,1.086197655146213,1.2431670699036186,1.1924577120717421,1.0777900692983713,1.2254938467918266,1.3557283754118217,1.2365703631811742,1.2380986420818003,1.4546989702231288,1.5188662053298236,1.4311629036034037,1.515375533552641,1.6738446985116229,1.735520133030611,1.597846758763457,1.6443527196127443,1.509035192710275,1.422894230170788,1.2888794301542974,1.2725039065875332,1.3812995305639821,1.225514290271657,1.1565578429709231,1.2286986634287005,1.2277389868757693,1.0391343037926313,1.135859993188905,1.386573257287498,1.118534570118492,1.0410636037038474,1.1590263601030537,1.3570808383702289,1.2062243802174362,1.1820602099727822,1.2972219440542074,1.3175997887047184,1.5342418306811754,1.0860379790248964,1.1139558823060476,1.2730906688807542,1.0020894619543965,1.0097070138977113,1.10703779940222,1.0634283294794709,1.0330568800742737,1.056948006517496,0.7849381255122925,0.6540038093720927,0.8712844016138723,1.1241229852307086,1.1573468183695674,1.8135954843609354,1.4556767773065324,1.5026359881967202,2.1265842320876502,2.284858814724669,2.207639936248807,2.9629167083717007,3.223983095644767,4.214872532086725,4.567880085007536,5.260642028850364],[0.5527580093751471,0.6750035967291544,0.7685159054706017,0.5876830390942281,0.726664483855054,0.5965259296703915,0.5153973951870103,0.5914476949937794,0.47170141788705283,0.42622471119207117,0.4388286320235273,0.47802287628018325,0.4570251693814104,0.40390364957643365,0.5312997254866629,0.4848354986890104,0.4271373181715953,0.45748389129431294,0.48925155659370345,0.47494167377181284,0.47828909986371804,0.48741559393946227,0.6012740743430524,0.5964770049163611,0.5868395586896002,0.4961008183703979,0.44216447133533776,0.44814146389320947,0.46331169066100886,0.4947965225882435,0.488777482632165,0.5639392704103512,0.5626896910281483,0.5310216165287374,0.5298062225070814,0.48028204246498196,0.5331684992710538,0.5141410853456176,0.5026574974136757,0.5395801257286814,0.47562683867610667,0.44183290722625,0.44866173137071685,0.6123255054948127,1.0663854962206079,1.5580453040346562,1.6453372652813758,0.7642715742162787,0.8460304601047943,0.8911944554609457,0.8100371488896698,0.6434165358581979,0.6670939916165498,0.5773660558654934,1.0721960095105578,0.5977024860959117,0.71270962736573,0.6271973660429859,0.7864768258905864,0.8989094464394533,0.7114113103390445,0.6813285151891878,0.5924034605245664,0.6415417553646799,0.5586053846241915,0.5592882154726703,0.7357474069446033,0.5641326156869778,0.7203647135134352,0.6612017923581123,0.8623297221439401,1.1070652685475848,0.7811059514458932,0.8627601280023436,0.5876140864896432,1.304708369674326,0.5220681425888025,0.5138762080231843,0.5248586654008992,0.5196851835563859,0.5542594841896253,0.6465059641746252,0.945968702216652,0.6802842246384038,0.5419777086936525,0.5425907055277137,0.5060398738250576,0.6664222594254641,0.4791374298541421,0.5860449159777966,0.4945340272945896,0.6084197676426514,0.5594248836947897,0.5288666108454397,0.5090798418548,0.5711652458971058,0.6008917818428182,0.5412005909582625,0.5704725231270162,0.8070248504491152,0.6342824835846765,0.8486230606216715,0.6333182267931267,0.764065288073251,0.8196650247181255,0.7940878690094192,1.1071935200274747,0.8366520033897589,0.846332471554753,0.9349659785719677,0.7721328300212413,0.6294287823525586,0.5401397614918978,0.5285758187405882,0.43704406252215616,0.41413013227769296,0.49420042832246197,0.4955694576213641,0.4995631374214712,0.5170954143701524,0.43532344933118877,0.4373876245447144,0.4032398578637874,0.3939113653012755,0.4181119198579523,0.4919852545699785,0.6137119700438615,0.6330848601498247,0.7067908677812783,0.7312700726729069,0.7795790229145504,0.8839003753922766,0.7474162306221407,0.7405465035529547,0.6811719577071472,0.7267090325708593,0.8070940187316483,0.5290183828187709,0.4902476991499956,0.4867784235189861,0.6508057450487056,0.6993661899503506,0.4812055343777966,0.4452577652619087,0.4534314770810681,0.48110234197819585,0.4594636687581162,0.5458155634468412,0.5431684244100076,0.5951129694958895,0.690708981532797,0.66973994313028,0.9281353042949376,1.2226711486174535,0.8703107347877417,0.7340267007851391,0.6069084413104394,0.7089769133152558,0.5661944863054694,0.6767918307825888,0.5544640388584399,0.5492054943360785,0.4868463734958715,0.4810952945193561,0.7476946343062776,0.7966592725647575,0.6893805900092073,0.9115965301040858,1.000207123567594,0.8884816462007672,0.6768336063723054,0.5365444093114083,0.5833968375101198,0.575568659951152,0.5528574346527826,0.6756853585162653,0.6108233770350487,0.8245110617317623,0.6107884663178139,0.7081085378315729,0.5563355644987485,0.6522535215875832,0.7043595886168155,0.7440069067825329,0.6626093916743837,0.6521676647291152,0.6537428947559494,0.8450197428933558,1.0833677640304191,1.014127831931327,1.031879106204614,0.8328209100992964,0.8994288085881275,0.8952278957468859,0.7815893583358604,0.7866133441147668,0.7271868747464061,0.8347358418975545,0.8207725632127243,0.940973950353002,0.9542064325381012,1.013707873919297,0.9201325954983981,0.9328048992950881,1.1100639055748889,1.1256788457181681,1.0670376143487963,1.1635300437530736,1.3328074378750066,1.2522272053229906,1.2799885857483606,1.4658111750812215,1.5496739829773645,1.4071762863627257,1.557410824073415,1.3679785108280729,1.555281450999377,1.2825256688771336,1.320389980741653,1.4079580244675682,1.3864993046422502,1.6384140621077017,1.5793700162717474,1.837985923404653,1.3007078400567502,1.3169839127158856,1.3142711256202024,1.230247362517059,1.2737441966816243,1.1465447105633084,1.114276433059331,1.149898499532053,1.2032055800309163,1.0558052210645064,1.0148727552788814,1.1670560850350442,1.0204349466978342,0.937752353020373,0.8886188064181794,0.9427998705735381,0.958149897687975,1.119725395181426,1.1457386602072102,1.2978783633916757,1.2270174461093966,1.1406121704865466,1.274100666158668,1.3767436294530497,1.2665079013224196,1.2835625730460438,1.4790082220750458,1.530076756047526,1.4596689520258044,1.5242441030745275,1.6547903925328338,1.7178232457054143,1.5847916318735116,1.611217091610428,1.5010410794912445,1.4302779989263918,1.330521616762106,1.3085434592466827,1.3898274721547872,1.2554439552053553,1.2007856229306777,1.257052465629898,1.2516083103599758,1.0925072742712323,1.1697556989018956,1.3884477066735157,1.1336566602374836,1.06823201024135,1.175380929996493,1.3140391816176102,1.183014613939095,1.1610933850641025,1.2634544505587737,1.2857439062370979,1.5153442191323365,1.0771843220848318,1.1052760928267769,1.2648081404572236,1.0222005440467954,1.0379957797572745,1.1048496817785014,1.0387139148829116,1.0730847128174903,1.1471298929639617,0.8548602065600924,0.7495753776307735,0.9348447118985501,1.1471361314562616,1.2124681818007506,1.7979516738655015,1.4946823053545446,1.5503815841221595,2.1411065356150103,2.276067196721008,2.1770049830866682,2.995337663847833,3.2109719921298114,4.100601277580377,4.4040060358321105,5.029586166448059],[0.7093284094836957,0.878369386573357,0.9839974283922764,0.8294474924830377,0.984527601926081,0.8104310125516024,0.7387671339712262,0.7661379612994864,0.6594114296025456,0.6205251252929234,0.584430227422914,0.6086361807449997,0.6325795679037433,0.5813581062455606,0.6216787661214551,0.6255935982670168,0.5971160039080293,0.6003123989396209,0.6546818598258518,0.6352275774029627,0.6381015014124138,0.6579702729510085,0.7066731006005876,0.7434574641726225,0.7374762907284558,0.668536104088808,0.6459134704345155,0.6595728495660832,0.6390406124470813,0.6600337021745196,0.5894658206503499,0.6698044688111443,0.6785911174112297,0.6389072973253858,0.6582673351889777,0.6261813797300224,0.6914758085843272,0.6914406024721184,0.7110578417659413,0.7447874345764158,0.6902008579053818,0.5988680072233556,0.600749199907854,0.6978130228126274,1.1119713160401856,1.566418620313223,1.720447871399609,0.8482855990077266,0.908399797500554,1.0044353007936369,0.935578405950628,0.7715536018339982,0.8079994258170733,0.7647352795080102,1.1549576097621772,0.7590638702879161,0.879575510059288,0.688680439935125,0.8311680440052778,1.0615038746588756,0.8381221537410244,0.7953424729346107,0.7348894152124684,0.7620692095643654,0.7067123121210157,0.7056131734417621,0.81657812152352,0.6855949637310924,0.7758797493843729,0.746551202045157,0.8741133640633154,1.1192044126733345,0.8342840846079097,0.9337407930673214,0.6782540057133817,1.3058551854476985,0.6609311570168317,0.6415392593777125,0.6786337520552137,0.6670694408636623,0.6984750275102627,0.7901140850146405,1.0261003371714397,0.8260484953122553,0.7345239901271433,0.7073871022447806,0.6770027546148631,0.8112448687130215,0.6318349273052795,0.7012438390512518,0.6166646529787534,0.6649918618759123,0.6275196637033381,0.6034541455283167,0.5920137291672776,0.6435480699376246,0.6602134998523259,0.6453233999867605,0.676373295886786,0.876720121630286,0.7550281105040855,0.9639989915569023,0.7779675721591733,0.912264354312435,0.9641191370421112,0.9370295651427584,1.1713704741345103,0.9878975528691312,0.9889338617391897,1.0304928879377888,0.9272779783648059,0.8250224708094135,0.7641243976899379,0.749018063917835,0.6705979280947979,0.664160528960242,0.7002169676057046,0.752471530215656,0.7061483179271438,0.6623635711996614,0.6190318765673012,0.6224413292665157,0.65986682965183,0.6492174091873747,0.6641192010035868,0.7515082417320486,0.8477851248262906,0.8527174871513822,0.9062062460430833,0.9186303635419666,1.0116577753248008,1.1064622833298252,0.9886066032900267,0.9158725151994204,0.9111037628594734,0.9437855902325096,0.963895453364786,0.7681615743065617,0.7547237299922135,0.7666315994155168,0.8793233602138815,0.9430657578777804,0.7233834574732458,0.6941563375081556,0.6960750840756427,0.7048744219603683,0.6984820169846955,0.7578965117552886,0.7512404789804924,0.7792477535715718,0.8422336165515562,0.7887030670222284,0.9774266396507698,1.2654840370804392,0.9347134366846408,0.8298476978894325,0.7417970022498963,0.8465041673384243,0.7287476369412068,0.833594364236297,0.784655337955976,0.7718104245668933,0.7386051604697472,0.7246401843999443,0.9511645694347409,1.0728030342950174,0.9182337155306216,1.1276258296396413,1.2116994614451126,1.066537466846423,0.8994390163952891,0.7670412188937437,0.7917520395934874,0.7994090218349408,0.7543879012488846,0.8470682725339258,0.7820303370532707,0.9441171341091278,0.7863428785050953,0.8626503833979088,0.7677448007591797,0.8426139687937134,0.8909264298979678,0.9463257679817273,0.8714794758037692,0.832516356497366,0.8276277108583647,0.9908366983840918,1.1282666194371733,1.222075579989004,1.226495743297729,1.0310100550610064,1.1523046321621586,1.1455077123495963,1.037949972789415,1.0228314209865657,0.966906648139666,1.0319306214839081,1.0017519889438635,1.1324456005471597,1.0298785964213706,1.0639585345160418,1.028968410532539,1.0129075251722888,1.1483146819557568,1.1709446640659975,1.1207256242428443,1.1972182069155612,1.341024034986439,1.2909052384104511,1.3065981591102052,1.4858947144926242,1.55786258044166,1.462000667205085,1.5869157455468454,1.420891111228091,1.6166551211626,1.3403254579971928,1.364967835291134,1.464965476131923,1.4595566744583288,1.7481179742675532,1.6574705873436133,1.8159769025840047,1.3360375295642197,1.3351642652265325,1.3391447618429122,1.261238508059696,1.3117995365790875,1.1890029933358819,1.1633335377306004,1.2230203469759657,1.2703767141028879,1.140856824878988,1.1009665905543713,1.2907084255714223,1.1416758617804277,1.0083450080122176,0.988908337863749,1.0620403938025986,1.0243558417058554,1.1455816838874435,1.14793119742055,1.258855807646589,1.1888165383785998,1.1386986178666965,1.2501696582317632,1.3225997162698304,1.2391264270588767,1.2764845055242493,1.460715758147923,1.506406515269166,1.4538930166448731,1.52451241868319,1.6450762767476739,1.7129232120273503,1.5900223458888574,1.6251845704109935,1.5149782788067592,1.4347889154555595,1.3341953002829265,1.3230210773714222,1.4234387636693144,1.2761796267827497,1.2154464030860255,1.295834488871194,1.2894947740207374,1.1380017437593626,1.2402518539531018,1.4571243287638163,1.195099264976585,1.160682622661266,1.2681571519347221,1.4300570834593922,1.3060105000344013,1.275186709782684,1.3762897847713735,1.406015938357174,1.5538065489224409,1.1564868505851662,1.1973056963916686,1.4161005280583494,1.1736185621168125,1.177638477540114,1.232145281997729,1.215505522058584,1.2037092060255,1.321160517557086,1.0707160505113986,0.9349312979375666,1.1027743347928065,1.1651395495667742,1.220533843370244,1.7241351055868928,1.5276832330073924,1.5864540366317605,2.1162819716477297,2.3485343386097512,2.2483254525207452,3.0480275184933974,3.201984804842279,4.048854385904791,4.314403425396357,4.942416860856709],[1.0227110857826036,1.1285834735565894,1.2681661151367674,0.9987220596021937,1.2114233092202558,0.9324334029518923,0.8540103699375031,0.8824546571383575,0.6873205715180188,0.6540965554168209,0.604633429475934,0.627684277851606,0.6996080461519818,0.5910413140253538,0.6632708618559384,0.6782672467479071,0.6563714588752341,0.6561723499415678,0.698624543376386,0.7437302325591973,0.7328128652117192,0.7804419726631878,0.8233375304762791,0.8245592152719687,0.8686762271858027,0.7702892035805003,0.7839424867995787,0.7701917451427515,0.734357193242827,0.7693623426569762,0.6318330874398652,0.7433635881823765,0.7269905935388533,0.7070446531097468,0.7612835046433197,0.7223269566959104,0.8298533861247555,0.8439384052478085,0.8930297569331199,0.9653725118832378,0.8839839631065863,0.7391929005403463,0.76275240634456,0.8001370375203979,1.1114660743782176,1.565396191189671,1.7345790278651991,0.9265689347836739,0.9974691967415488,1.0994413826469434,1.1183241051984694,0.9636557038116271,0.9745276954897708,0.9795410788228817,1.3598487500642793,0.981481478195207,1.1214518905338464,0.8025796107231327,0.9364878298620398,1.2464353155300516,1.0206060345395216,0.9210304691093695,0.8159759346335687,0.8059138908055602,0.7778449755909417,0.821603316701374,0.8770738617265847,0.7239753006821714,0.7870373965364246,0.7486856283784717,0.8755381320044029,1.0850194301988594,0.81406484179571,0.9125196311626267,0.6886029112707763,1.2603546473696359,0.7168662940891791,0.6984699955372718,0.7729950123088414,0.7879126897132986,0.8308718182715678,0.9698527401558885,1.1725942446740005,1.0539425352550353,0.946840304643026,0.893653186596675,0.8469412369570941,0.9390247424463195,0.7458043351904192,0.7792037642810934,0.6528435206085564,0.6506548374019907,0.6261607465195863,0.6284215432680423,0.6130993139446311,0.6330662814055494,0.6663731704703241,0.6658628451406309,0.7165234950526089,0.9491499920205224,0.856941093092469,1.1036480723473765,0.9451637981329196,1.1158213883610169,1.225149450589323,1.203353496782585,1.4628287835447564,1.331652591072155,1.3301672122549826,1.2844700230981474,1.2105314112019117,1.0704325162044332,0.9255688597569024,0.9077462450491843,0.7646218686382102,0.7795488125022929,0.8093338304749942,0.8206123339560585,0.7328184640836499,0.7305924640430875,0.6517890644813115,0.6666709002127548,0.7009374837553551,0.7287765459690548,0.7564787952800958,0.9229740296114771,1.0673927729866866,1.0981316189437864,1.211086742371761,1.2240711233952317,1.3317586136307522,1.43464063151879,1.329167747327568,1.253332146877866,1.2048596286205175,1.1940376832922066,1.2781478558949746,1.015572447684503,0.9564994830897517,0.9456462422164477,0.9818025861886903,1.0533115984560437,0.8636426718503737,0.8622153422590592,0.8706000968209205,0.857590197327932,0.8541014916599715,0.897455560472729,0.9281545490152225,0.9142171349833653,1.0003260482674547,0.907315995903929,1.101687561974586,1.2165870521741704,0.9978880431949457,0.9335929630487062,0.8428821325893665,0.9988477109085449,0.8696361536001938,1.046054851431433,1.0079044752292343,0.9557807184415192,0.9398516770957527,0.9469239666371765,1.2385717861702399,1.327194397932211,1.1703516066919972,1.3067429547186884,1.4564234800770786,1.2361619285781016,1.18536567868306,1.017481746665162,1.065604457025495,1.0449020176200816,0.9881196163823859,1.069712661550868,0.9500542616187897,1.134033374638742,1.014273560365979,1.1043918564322937,1.0288625317452273,1.1224545290307861,1.2160846830298335,1.2698144057408896,1.1844563988822339,1.1008690816580693,1.048956312089649,1.2543928031120317,1.1974327882914606,1.3790097017482763,1.4611273950574784,1.269181747654137,1.4134726067737777,1.4318748709515694,1.3855184200841448,1.3845219293518958,1.307613323472741,1.4098454755499896,1.3835868274532646,1.4540649201850249,1.4634206363339572,1.4780500631481515,1.406459424688471,1.4548129874023312,1.585936331735636,1.5562077641654566,1.4897446195069037,1.6175155889512607,1.7374525484332002,1.6337368563353762,1.6754591085404624,1.850687473480751,1.8541898150551424,1.7344415226839802,1.88669003026988,1.7682632558264078,1.913328137652629,1.6850534283926282,1.7521295702453172,1.8443996465538548,1.8401189795354074,2.0755143490319403,2.0246555881999395,2.1616002890424917,1.7789259060008524,1.7996994168299858,1.7796922286415133,1.7376120370924446,1.793145687482945,1.6518494055740611,1.6211446963657277,1.686682545571492,1.697250957228961,1.5833147836025823,1.5617343885086474,1.6934269874117012,1.5466923578990177,1.4203903653210108,1.4266960788917475,1.4963803123852197,1.4655954778323506,1.5841707488798527,1.5802116753889253,1.7061979078208345,1.5773703473203422,1.5617706035887693,1.6821286070412633,1.6939906332460446,1.5792835329619548,1.6659066806048475,1.832933249360461,1.8431211235661127,1.8125268800582404,1.8963198720033212,1.972388126401234,1.9983615290324426,1.9314632986962645,1.9720581356875382,1.8936274372566213,1.838889840211617,1.7603026251041716,1.769291689667193,1.8495472860055013,1.7085483359902147,1.6635734728402072,1.7349921355633573,1.7175986700347008,1.581792290059256,1.6696244391581592,1.8266866838853348,1.5987618285340783,1.566755239790211,1.6713765612136193,1.7203830141378733,1.6387780025481704,1.5939754565663964,1.706630991305026,1.7099376823352532,1.8420044386434489,1.5238241499766882,1.5759478762038321,1.7347790437280215,1.5189371268263332,1.501849607102704,1.5134061822651712,1.4973842880058457,1.5569233796784112,1.596952684760957,1.4024095111731982,1.2561970810128964,1.3775382802469451,1.4618349437657339,1.5638235134238057,1.950131056426718,1.7525508751087369,1.863019106033024,2.317797794322106,2.4170304052315186,2.2760056737670205,3.119511534280866,3.2944655086460064,3.9536532148064625,4.353853325824554,4.854008910519697],[0.9762534526571852,1.2188707809789687,1.451610036681316,1.1882784071443588,1.4340350806747586,1.1506919916055185,1.096102147133693,1.1012603562007521,0.9156859627947358,0.9122605228202078,0.8374791844352469,0.8470044351436882,0.957400365752281,0.8596744904949546,0.8882855094288425,0.9363483469459579,0.936411281607126,0.9319675796565501,1.0043761706321404,1.05458039378239,1.046763931662932,1.0973571901220722,1.1237183539333884,1.1128359697613235,1.1746022168861474,1.0857364336374025,1.0864514490532442,1.086678330633081,1.026578030434789,1.0423492131141983,0.8752533756269916,0.9737287483414893,0.9418606034390363,0.9385425737080839,1.007648102907846,0.9986024053377219,1.0823227852898287,1.1291800357682584,1.1907337269793732,1.2460671351653403,1.1819767420543528,1.0382153515003956,1.0503299882510928,1.0313806088031685,1.2483753088845717,1.650586724834945,1.862047028360055,1.1304095510911145,1.1762060472275657,1.2768920951745277,1.3185504344039427,1.1923140408769732,1.2163171272261708,1.2512544631936586,1.54220331313837,1.264975494975446,1.4184108194171943,1.0148143684670692,1.1264582050975231,1.5361055070588925,1.3126041807986635,1.200811548486899,1.089678573223381,1.0904629890691928,1.077937453821291,1.1179880215156919,1.1364466040370254,1.0011494771414995,1.0317857315982693,0.9837341530931112,1.07544492664416,1.2007843691582258,1.0028138709230818,1.1195830104443207,0.9402475071832652,1.3431975796027396,1.0161739514554926,0.9827445510469948,1.0621418758771561,1.0689419124854362,1.098659343995278,1.2268039025686548,1.3426746583192808,1.2800248740244677,1.2090418118678117,1.1784760828498562,1.1322831813089413,1.1613469731820396,1.0266768792743033,1.0227912726485768,0.9125322888087309,0.8328938340412856,0.8249464760664165,0.8456802376449997,0.837197454843126,0.807276300097353,0.8418774539796612,0.8801423745097471,0.9201885308464408,1.0918110021518541,1.0672055535946652,1.2500867102868136,1.160573897767399,1.3117640457206428,1.437651980545927,1.404893909480404,1.584079824918754,1.5142375208102115,1.5070297857979038,1.4559837410575043,1.4022994960091553,1.3076857909778434,1.1802582610274328,1.1788465494131715,1.0589647354316634,1.0873224546801594,1.1079086793426622,1.1182958325126797,1.040801412218378,1.0134787388078088,0.9490459597332164,0.9578322780930287,0.9910443647226735,1.0205250024742294,1.0360434060667238,1.2025459821199833,1.3109509599847164,1.3382444541134364,1.4292044135597537,1.4443396883576964,1.5540928324910335,1.647011221527273,1.5504713737797968,1.4705806996500925,1.4490375752432312,1.4280695291067147,1.4947367573664743,1.2730100207290231,1.2406984600842417,1.2366932750423527,1.2320715060774101,1.3091286538679934,1.1703068976126112,1.1656635485864169,1.1712033914622664,1.1544049579877012,1.1531767393322105,1.1765494646913985,1.1937345027815194,1.1561910038757897,1.2025877565128578,1.0870107508461189,1.1977646789596423,1.277789627166428,1.0912140983311578,1.0884810108241147,1.0492844451581493,1.1959036788042832,1.1098868799475259,1.2672560767086076,1.2747261429937238,1.2366800532354831,1.2297818725217682,1.2406456436858309,1.5071827301329979,1.6219319923585125,1.411217710664457,1.517267247131134,1.6598845878815054,1.4431764301252181,1.4290618305241372,1.274788486403073,1.3274992012810791,1.3095197214099201,1.2517440139251252,1.3054510032997984,1.1937661851570074,1.3237118163330148,1.2681207390334597,1.336366688484155,1.2857534351459938,1.3618730576697478,1.4487868802476351,1.49777561417145,1.4228588932748896,1.3519235820539524,1.3108820145161604,1.4830083780187173,1.3291870597030713,1.6138524497566706,1.679833131983992,1.4782330506855381,1.6356659503455633,1.6447576091612937,1.5933907294482035,1.5733322602904896,1.5189930958983606,1.578289955840641,1.53109649883571,1.6265088528349212,1.528175732058355,1.5498505518006904,1.538069615835892,1.530929440135778,1.5975533239718487,1.6073199663333335,1.5830043228119997,1.6076900567201955,1.668671804858527,1.6537210766328645,1.6575323817392977,1.7207193429959657,1.7613284167628689,1.7590821342882117,1.755569762844451,1.6768394774358257,1.7605213363364363,1.5493362850330432,1.6509802232147142,1.6779101048453582,1.67992779038097,1.8494021491726713,1.8113455879565268,1.9380123189587475,1.64194023382104,1.6574878708446563,1.6937949921748001,1.6376800487330174,1.6357253542694368,1.5902690866844489,1.5811831088569672,1.6242924529742282,1.6480169515637382,1.5884743250304743,1.560122294821831,1.6450191674528523,1.5460525622837904,1.49836046197872,1.487888903048578,1.5863728980183618,1.5147809072452547,1.5699511967921913,1.5672926252555208,1.6145561267333757,1.5669485638553997,1.5573561499613788,1.6204305238184504,1.6368999077754982,1.594877475126583,1.635948770856139,1.7300357223796343,1.7487654956322232,1.7352683667482798,1.747835479566615,1.7983217705252847,1.8574211791087627,1.7633965227655208,1.7634460396859273,1.7207460942818826,1.684896972190026,1.6617392022597144,1.6397428322941714,1.6674150339647793,1.61253461617509,1.570667492090046,1.6053785776055587,1.6053986230504331,1.5410940415343803,1.5822307932899042,1.7026392049913257,1.5395945188308848,1.5473703613550738,1.5779556320339114,1.6631313889883281,1.59803088009266,1.585491655118459,1.6042029001893636,1.6454018173993574,1.7015330800584325,1.5326276057999881,1.613361495974787,1.8362453613988312,1.6639585781860868,1.6345353222905714,1.6098589128998895,1.630957210423133,1.6624115742476895,1.755168568777367,1.5927808644696284,1.4564847807678343,1.5508590482947353,1.5382289258772786,1.5980658815647828,1.8865098985237647,1.8401304765428097,1.9023636990966404,2.267714338399118,2.5136108614447052,2.4012967370745577,3.1790346377219745,3.2172400772476006,3.88269752974944,4.127245751441144,4.700585866978534],[0.8985303473801235,1.1229346002552314,1.261158862431658,1.1043774301410212,1.2910336158694986,1.1090374844519513,1.0647978120056247,1.084062682917185,0.953881341244588,0.9462867473943891,0.9035163079667774,0.9032258816288099,0.9748881715600264,0.903660469785075,0.9487233290002199,0.9694933658328839,0.9465910753156056,0.9489397613956448,1.0052702207976418,1.0296926816122827,1.0230531956852558,1.0508908992750543,1.0974202789681804,1.054696115293771,1.1107221774522724,1.0397726873213695,1.0351072477327792,1.0413201748604142,1.0084787139054479,1.0284801794346254,0.915364546783484,0.9837984712729729,0.9752111462589277,0.9688774590827366,1.0099508563503485,0.9910564402652029,1.0510653311951352,1.07422016077775,1.1045300130691413,1.1341361773493461,1.0713099408375066,0.9717484315133087,0.985303948418135,0.9717870085285231,1.1949353833099525,1.5990264113518255,1.7816203833366488,1.047346728390697,1.0875404999596239,1.1567630047519786,1.2116656071063678,1.0654672103697178,1.1070924263954358,1.1339572039575199,1.4559473261345273,1.156811783313272,1.328526559071671,0.9591877856066775,1.0773115874967802,1.4448616838446966,1.2632724526935133,1.1804361862378308,1.0801787586721079,1.0834289727930098,1.043118361354588,1.0898480704638969,1.1576101957598006,1.0239390783267177,1.0591122232188805,1.0381897567615717,1.1156132779756391,1.241918259642396,1.0630839955792992,1.1578521811949658,0.9808201354395171,1.372088349798577,1.0201188945823996,0.9951162652433568,1.0457676062639167,1.0277322537053397,1.0485394304960098,1.1400697754749665,1.2662380368935073,1.1716108573075419,1.0882741828428242,1.0885020854615979,1.0717166070701538,1.1307391254009385,1.0088941101957958,1.0289716267548057,0.9422299732840245,0.8818092182817144,0.8818918037031609,0.9147377513670456,0.9020705270146706,0.8982591812935313,0.9268149287299733,0.9371455483704307,0.9661580213349293,1.121153046913684,1.068221271547042,1.236034901654512,1.10187089623571,1.2064003504837268,1.279256147806818,1.2406482482711414,1.4036323134902715,1.2827452080584296,1.2823782852824823,1.2877704675415358,1.2456293793956343,1.182761774706863,1.107371803401251,1.0991056705367446,1.0251781252155414,1.0281868967285597,1.069582630532033,1.050454800293669,1.0033021593591671,1.0224905004817628,0.9470439787800821,0.9692953520813287,0.9652443695151108,0.9858636851525279,1.0020818547969674,1.096746918554116,1.1981669944634348,1.1892565760855371,1.2361019936350193,1.2424439572763235,1.3035125912494987,1.3735392535844695,1.2868997375524593,1.2419224750401112,1.2315177302447264,1.2497776818077906,1.29745917763082,1.1120959030610817,1.093502093324585,1.1039943124371479,1.1277428954751993,1.1989913870521156,1.077478351830204,1.0637013766453436,1.0710727481336542,1.0849667840340962,1.0772047034410857,1.1172738436483123,1.1133764621499656,1.1120843456145428,1.143101662782363,1.0809462086525528,1.1697833209891966,1.2905054078900404,1.1372610443719378,1.0904876864335757,1.0454925379627658,1.1483899971186518,1.0670394109508978,1.163860616650274,1.1489797839470133,1.1400085626225167,1.1052382785459354,1.1086344380712703,1.3624295525955425,1.4102340052066316,1.2271668140536762,1.3335104628867755,1.4574018084129547,1.28523171804029,1.2291594724179329,1.1158189914683834,1.1653102905795047,1.151545084685924,1.1201202411680715,1.1835952063564916,1.1179478906273408,1.2320717992074368,1.1498184247362593,1.192591862248699,1.1191785221131798,1.1844154130000752,1.2358967276260788,1.2797958124328537,1.2294310923822314,1.187100520638871,1.181041032302884,1.3341834142419764,1.2161135152776055,1.4285776969231194,1.4618529099128024,1.2777007332738348,1.385994432383611,1.3887470335879417,1.3040208186651712,1.2622086105460029,1.2027762505918351,1.2731212641822582,1.2218889293168322,1.3554903724119522,1.1940336602568087,1.2315413455351953,1.2531949295285467,1.181278060271718,1.2301727778102531,1.2939995581303803,1.2682393313609994,1.2295837995056798,1.3095575635376846,1.336704428285465,1.2803046481601534,1.3360630011376127,1.456029649800384,1.4200303380188366,1.3942472775587174,1.2835922019811141,1.403104886049124,1.2144348076209803,1.2682315224462513,1.2799922087386053,1.288603787625802,1.457545029562564,1.4695634984048147,1.6718329624094572,1.2523531304965838,1.263727449205113,1.3445135051670933,1.2673417484648337,1.2511702250928292,1.2110947206526452,1.228113164230079,1.260797794892066,1.3072041800785097,1.243952545963194,1.2513524628961983,1.3635301756652258,1.2404714680246263,1.1997968840503168,1.1588669620839709,1.272163264388264,1.1787673515781762,1.2410374470720362,1.2499137372974292,1.297967643810599,1.2820478896970842,1.251956592302895,1.2842044364550074,1.346337379104308,1.3285544550653139,1.322035593333884,1.418721527967671,1.4726642233252871,1.4354397075810759,1.4009930405226463,1.4742970415622327,1.5682554597459473,1.4081800928929402,1.3868651324518013,1.3310790034243956,1.2923647419882418,1.2863152735918097,1.2411992048929736,1.2615131468627159,1.2119971806159684,1.1843500560578901,1.2086402141751502,1.2144043265253666,1.1623098089243014,1.2011538075782315,1.3672257136478223,1.1874682593600556,1.2059189270731883,1.2443157026634066,1.3620953425192024,1.288253171963794,1.267647857784153,1.3255898416452763,1.3742481972366032,1.46283751725136,1.171986795591728,1.2301340286011109,1.50369865358931,1.2736116929716557,1.3019732392104924,1.3219279098000403,1.3382069140853776,1.3463975742037082,1.5354693290835861,1.316767559660068,1.251070869854131,1.3472101896188804,1.3555936699720037,1.3694221190258768,1.7889054379708318,1.7100531970975301,1.709136080335539,2.1370585847299965,2.4787665152618485,2.3668480871543323,3.093533912318769,3.124952880816431,3.9065601697665446,4.057017591842992,4.676693298674774],[0.6800354133985563,0.9692085353748526,1.14560381003562,1.0000187040522688,1.1493378954077735,0.9817693408330935,0.9142104551068346,0.9175374067035513,0.8062937764746166,0.7747054293241474,0.732188980830733,0.7451898837594884,0.8040237166555847,0.7318651216668182,0.7634046555696432,0.7836544267712185,0.7574809371800508,0.7620630229226152,0.8263344902790624,0.8157615501273424,0.8054406193844669,0.8236367556988126,0.8715107487099748,0.868029652908963,0.8962915748476877,0.8315325745004625,0.8164152710644125,0.8428630376151705,0.818466737938519,0.8343061266314826,0.7355228254651263,0.8144234496417135,0.8036531579514775,0.7802398667812975,0.816411886387183,0.8025197951773025,0.8580393499339698,0.8692704901107903,0.9017069091385618,0.9324374351990606,0.8677321455270269,0.7634956485133649,0.7686498809490986,0.8021625234291158,1.1481959142692808,1.5922892611804471,1.7758745461487508,0.9390433239458053,0.9970934632517894,1.0952411762882737,1.055129441887108,0.9116985255671786,0.9473486027593623,0.9290321528492522,1.2394016672432735,0.9437872516711268,1.0875025925738637,0.7755862606298293,0.9140922845648238,1.2586654891839804,1.033722141354853,0.9622785463814797,0.8804687669261245,0.8830203442985862,0.862706654300337,0.8806824786359132,0.9473306133335098,0.8331088519418012,0.889965185060607,0.8847382400745755,0.9779238236281403,1.1488639981499904,0.9399349563031476,1.0396555764737248,0.8089604086924669,1.2655076873588995,0.8332360416434644,0.81598928319777,0.8613520490907854,0.8418962340005544,0.8647914079527536,0.9589110108866925,1.119725612072175,0.9754300272099574,0.9159388083501684,0.885550728566722,0.8538192409420815,0.9522668748133402,0.80938905392073,0.8502355599497969,0.768717126811485,0.7750476326019872,0.7468761702563325,0.7394312789893858,0.7315341756347491,0.7481301393943296,0.7870348391256874,0.7761985366368567,0.7952723345248273,0.941733811126119,0.8806040263613739,1.0735791961126426,0.9151781272888537,1.0299131084362836,1.0968079084273556,1.0678057770845961,1.2411750686829206,1.13924799950594,1.1380841326250029,1.1302299923580488,1.0511339406199596,0.9878963329374141,0.936878085501771,0.9133325090843988,0.8375567286760293,0.8411496809919057,0.8724485318974103,0.8866458520864353,0.8488610022175593,0.8278874963230033,0.7723329797296694,0.7869441293274833,0.7896379852188247,0.8042598937322855,0.8265362264669798,0.9294267130131073,1.017273558691234,1.0371425990407996,1.0803521222736518,1.0881131813176435,1.2089841402823356,1.3012606696357012,1.1750193712507482,1.0958808078297455,1.099479849848811,1.1133087763624843,1.1101311251062842,0.9414206826756865,0.9200189600101198,0.9324912141119981,0.9746181250107698,1.0438644245097473,0.8809239684670691,0.8691710783649158,0.875266553766228,0.8883061164282102,0.8818617225117175,0.9271676920793464,0.9306455424017057,0.9365367531962452,0.9854488442050436,0.896607093414117,1.0098417485197133,1.2452900235949198,0.9871965396054558,0.9259234849613315,0.8691529200865928,0.9714831738922179,0.8908795082717806,0.9820179088995525,0.9715460148088584,0.9583471898198362,0.9238149465922598,0.9190317163581828,1.1378853955174881,1.2345796078342728,1.079096212016103,1.2372054939537427,1.3320299935757958,1.1845930814723502,1.068501674576657,0.9420224569591148,0.9829727213685002,0.9909045141593873,0.9451295376964487,1.005860318263064,0.9334747158182175,1.0466667237342457,0.9577370868759048,1.0169345139098953,0.9623028439294984,1.0185057200841154,1.0769380511063325,1.1339885701971213,1.057696117504378,1.0196772278211665,1.0098715986913434,1.139782130803096,1.1919149963110698,1.3666906903247042,1.3637373215141877,1.1480600982294424,1.290489158342045,1.2886526921932664,1.2057574854221427,1.1954307942019644,1.15297054617711,1.2047932024197707,1.16391366857579,1.320358424773776,1.0925035130095144,1.0895348610647035,1.1248229151619504,1.0540243796631068,1.1030204471749143,1.154870187060643,1.1558521178617027,1.1162375067110908,1.175473152256001,1.1968572825838755,1.1647319666745775,1.2305635930829155,1.337792146964316,1.329857087179198,1.3351322551270182,1.2214198535649379,1.3636783111219806,1.194545926298245,1.2166386202671666,1.2388448071918734,1.2555977514374492,1.4592324969226844,1.4151918397347043,1.5545932604007588,1.183899625625661,1.1591434010644743,1.231844596115936,1.1601045959107645,1.1461897356865283,1.115983317283945,1.1307934666482717,1.1799425132559151,1.247141634070632,1.1639661676025883,1.1482153943162816,1.3050632361490235,1.2005436342432099,1.1146472677426584,1.0777804720194886,1.1688037166395668,1.0950463818811054,1.1293124206406078,1.124429544807923,1.1465997215190011,1.1384424272038973,1.1024855676941276,1.1348707653626404,1.195231041875829,1.182046302670618,1.1740084920396452,1.2636139202677166,1.3170484789179255,1.2820064407867218,1.2736335263097276,1.3553341364133535,1.4539559577842147,1.3077288769432005,1.2979336817096383,1.2332702226748606,1.1889519619395588,1.1604219698845197,1.133407589260657,1.166544548763983,1.1054005486704082,1.0779201334201245,1.140359102136721,1.1442243418881253,1.0834954173009372,1.1523234410476433,1.3320068343027387,1.1461321984053363,1.1786185253272807,1.2323697594378666,1.4494002459605533,1.333176619508784,1.2988032453965854,1.3633441565020106,1.4015661092129068,1.466329523293231,1.1656291636411662,1.177590422315608,1.387525762514203,1.2299750169055863,1.2785284437467306,1.356708880228401,1.365961706906512,1.3292348500818374,1.4836682506777163,1.2476582329227286,1.0766993900644504,1.2649177096324138,1.1477977100713446,1.1748749920306936,1.6071290069799373,1.5223299187889188,1.5392032733056953,2.0005126058907505,2.3969145811017762,2.3475444839753195,3.0351945525661472,3.0705480006476944,3.9718319826163517,4.07802595556217,4.81269378193963],[0.4662680875303344,0.5595113995078431,0.5916260468414476,0.5954107760840238,0.6490077962397159,0.5377356838774472,0.4933174364353415,0.5655929217026586,0.5067537427589772,0.46922299318807437,0.4815889424739586,0.5162819630128617,0.49594857616584537,0.4588748247053912,0.5747246564245965,0.5290431615045857,0.4582610472732877,0.4922348375399842,0.5402523327228577,0.5035727823158794,0.5282160093125152,0.5197490058553872,0.6462390075921768,0.6493565967230761,0.6471497746060941,0.5567344207371294,0.4801098164044834,0.4842942140690101,0.499149176228953,0.5216165359461358,0.5174456703440424,0.5592417286693971,0.5674217860977911,0.5417544885691138,0.525438357386325,0.49821679259079205,0.5236248953104583,0.5161972417241221,0.5020862735234766,0.49621316267360494,0.46385109010842107,0.46123286013317977,0.45600641506975864,0.6304942967524564,1.111971477530724,1.5788018569382305,1.6885858646156775,0.8070556899208121,0.8796262469311721,0.9303431126468653,0.7788097039749937,0.7119381590147862,0.6477113124184637,0.5414463691839051,0.9786208941296252,0.5482097398016934,0.6968101294072828,0.6159711260007082,0.7397818309457163,0.9187561353751366,0.7269206672253722,0.7129539488747891,0.6082955579762299,0.6648242025449277,0.5885676922959502,0.5901508044745623,0.7506152365226031,0.5862675918089186,0.7383442990438546,0.7017986810250061,0.8773725440830602,1.0895098817199762,0.8046976686956553,0.8978355477309538,0.6275537254639688,1.2397353422526567,0.5487048286614372,0.5287047856763458,0.5558863021161432,0.5275102088226483,0.5261955721298373,0.5930830681555828,0.8949311475277864,0.573844569566498,0.48898310149772484,0.48662580275195916,0.4835087365284822,0.6346201597215801,0.4877707940506192,0.6072499328536519,0.5214810227247249,0.6458220936630018,0.5736857532883884,0.546302289907654,0.5371094917975738,0.5913795728254163,0.6372344493118139,0.5644090400321922,0.5781544537091339,0.7669889763046434,0.5988246782607817,0.8391488093363911,0.5760812580895553,0.655846080203776,0.6855431577601685,0.6677708080063933,0.9083756678458907,0.6998009942538889,0.6964687132057643,0.7947616941182603,0.6358712919402628,0.5320351769337319,0.4959703495645314,0.5038849901715469,0.45852356163197244,0.4455550549455781,0.5264152964119935,0.5410606686169412,0.5431733564306238,0.5612844961038423,0.49330017854416836,0.489549521560507,0.46375288749506827,0.4408759143753421,0.4428067469216851,0.4590461267430221,0.5107753813983902,0.5602937576752375,0.5823237190861124,0.6077186535916574,0.6647631927674365,0.7443246017615961,0.6330746555207674,0.5861013439946632,0.586764818269244,0.7147716409694774,0.7380691368080673,0.4871897637371448,0.4761660316014487,0.47831807438851226,0.6789046485866961,0.7255944594277013,0.5078799308762193,0.45861765756722034,0.4591609018411635,0.4907172574850109,0.47186248201461845,0.5322758856707047,0.5101118979792107,0.560713669695717,0.6384601517045374,0.6313508366753982,0.8179042644085144,1.202920529931322,0.8647564197589249,0.6825724095981558,0.5798623407366553,0.6406755398767484,0.5401422720270039,0.5889762630602128,0.4863799283168005,0.5291809776764448,0.463606827566492,0.43553170371325933,0.6237786890557567,0.7393306278911848,0.6476636980758362,0.9475681831496446,1.0033758225999962,0.9060297248659647,0.6309979631851153,0.47893781091809673,0.4729007039681222,0.49314792052994255,0.47287600507568656,0.5853414986503821,0.5527535410390039,0.725885813841473,0.524195826750171,0.6205374955088346,0.4559158806158358,0.5279751712787879,0.5628064789230367,0.607248357411481,0.5369264907248541,0.5426031892545753,0.5801913553859929,0.7666028888939446,1.1163027271345238,0.9769402919974567,1.0114715121261804,0.8838405635416962,0.8931973557928613,0.8739623112703069,0.7152896141677406,0.7086252060544784,0.7052128995558407,0.7266738991384618,0.7342013460832957,0.8327000841946274,0.7780080655557554,0.811464845359495,0.7480801383974626,0.7706126358044452,0.9124476907658181,0.9429664591601147,0.9842600950099216,1.0103888953108704,1.0945189875653583,1.0916199164456142,1.137997463906947,1.2588838278092591,1.3546160389312363,1.32414728161648,1.433159439146267,1.2746182176674543,1.430098821764824,1.1915385735687187,1.1718023363424106,1.2205197525245661,1.1892391849797832,1.4234012422056972,1.3470148144906686,1.6683692639513752,1.0841911665516157,1.0562453572475392,1.0821242920416776,0.9898005564349103,1.0218197895394492,0.9440485562291294,0.9322127444303036,0.9828872697032074,1.0718240163511328,0.9122646788676099,0.8506125004894645,1.0591821981642642,0.9506168790712625,0.8513705720420068,0.7665947782287217,0.7892276037309693,0.795624004890667,0.9300612673938723,0.9337077504767778,1.0126617002616005,0.9978602450154883,0.908136638101171,1.001687629891729,1.0931430373703988,1.0351300606328244,1.0325996093543808,1.1817018479120747,1.2432147511687497,1.1882565322449308,1.228766280249607,1.347213319598023,1.4380397071253408,1.3193935568305222,1.3306529922099506,1.250131118113623,1.1585230329451905,1.067440954640785,1.0525328629511082,1.1334506818304413,1.0465645168514857,0.9933120747668378,1.0604079786259066,1.065786917903178,0.9302611613744494,1.013002332599354,1.257907377061164,1.0379192177984655,0.978902819073891,1.0816291138612917,1.2687903728204737,1.1423366367701895,1.1229425921306613,1.220395325531139,1.2395163361353279,1.4217981090397436,1.0299526154065477,1.0536810144972673,1.2044830576224772,0.9768712525841885,0.994825521235536,1.106733874166299,1.0709044620686827,1.0185551213944466,1.0389387758926418,0.7406469840893535,0.6099262226211445,0.8047560484565984,1.024418373839396,1.0118063295135056,1.5493432424736557,1.3982527617911533,1.3619613610469092,1.8814625341098248,2.2264366793031436,2.2408725273058834,2.850565413099714,2.934570478739493,3.9327282004470674,4.114352050990992,4.855179436051743],[0.4946380016827537,0.5989074946373438,0.6475734686842659,0.6902600364000918,0.7338416770513602,0.7164795151843376,0.6883310087293363,0.733096939366657,0.7340536697055466,0.6705127881568901,0.6716140596282755,0.7145068687549635,0.6594389996212943,0.6513659620400278,0.6793007802623617,0.6725843376867172,0.6494975830185353,0.6459372674786731,0.6646614884135349,0.6336509349830454,0.6638787246671937,0.66518024488335,0.7249519939516195,0.8134688241286608,0.7516486160914203,0.6866172516475372,0.627676728997666,0.6315316505688601,0.6433847408137352,0.6658198905228788,0.6738773250206461,0.7000914283915819,0.7659710355328697,0.7144033229956106,0.6874986783393958,0.6494831306637293,0.6779938431303171,0.6642589223350258,0.6471981695160635,0.6423468173738492,0.6262933499632785,0.6425128896498226,0.6237915904440887,0.8114274297562627,1.27327234196763,1.6870637281094802,1.8142366268063363,1.003752669820861,1.0406000914087952,1.1337431555434094,0.932369559558141,0.8912007211719198,0.8703848136103042,0.6761545017512197,1.0139340629461677,0.6427118264378898,0.7001060905435601,0.7793199706888575,0.8805530285123284,0.9348927639683265,0.7789673001994841,0.7805704091351955,0.7701155825384117,0.8671564500473752,0.762922274589751,0.7207968471449943,0.8639928945605775,0.7257568975262486,0.8601667745645536,0.7935325131932232,0.9276747061489075,1.1766349819789785,0.868324558528053,0.9594357000027842,0.7511664603221467,1.4807897392053269,0.6881134967991254,0.6880341834946124,0.7012939182969713,0.6816507466855374,0.6575903722095312,0.6945876546056858,0.9756342188838286,0.7254189044126748,0.6570447864090322,0.5986203311332556,0.6131879326295656,0.7887631361673126,0.6450333141581968,0.7455218244542646,0.7001882146440551,0.8297930940109198,0.7638476998816637,0.7192457179409081,0.7031876398879849,0.7913563615837976,0.791132575022884,0.7690380935930852,0.761410198908376,0.9270915594676087,0.7661303007035556,0.955690512737928,0.7087249749829697,0.7674768877984905,0.7483414405587729,0.7341354076201195,0.9146426977949287,0.7776942600984154,0.7685994300512895,0.862813912644413,0.6929787926162426,0.6489778710650776,0.692524284987208,0.6800674444859932,0.6406903917454582,0.6160679220923063,0.656930713183678,0.6927981527987677,0.7106692973018541,0.6866234267382273,0.6507351279910164,0.6389304250202351,0.6447493924037621,0.6199969146797631,0.6311110148874143,0.6349347821818498,0.6307817316781771,0.7142124620259163,0.6974573391038783,0.7196579481091958,0.774701214817172,0.8354775114396517,0.7475741623363034,0.6909909864162164,0.7317471059639411,0.8650676466047789,0.7754890079493899,0.6501294725015909,0.6311545555812778,0.6499135357894443,0.8517689582830354,0.8662861585834635,0.6548952224245443,0.6209584369442619,0.6301496457645324,0.6488709012692434,0.6314055380819155,0.6983797778695612,0.6768775175671994,0.7252779890200801,0.7807224058810333,0.792965848145043,0.929554826150619,1.4326694302608163,0.9939117624631577,0.829616902632061,0.7395908184949533,0.7847783271209795,0.7034094904134321,0.7188827860647006,0.6526135272868574,0.6961086168711447,0.6260331932525985,0.5935629179338443,0.6622338981372313,0.7805508433553383,0.7965152314142564,1.1359356768254882,1.1001553258493233,1.0463354807647778,0.7299285603276806,0.6491603544381345,0.630828279880304,0.670139409341967,0.6331352213074897,0.7062502060056923,0.7043090382669275,0.8165038117274166,0.6610063793339306,0.7420684091794059,0.6254693649032782,0.6674806878380567,0.6932436885775312,0.7368917276064509,0.6829736288801501,0.6943238279582523,0.6983297048724859,0.8141655142614671,1.2868201551930631,1.103406450072886,1.0957366751090845,1.047820895332017,0.9969426951050295,0.9712792694582106,0.8122993662242852,0.8160970482992668,0.8158118500644856,0.8118532823461737,0.8242685636711362,0.9222207277644814,0.8258504846732964,0.8246886083664811,0.7839141680724429,0.8076298333581302,0.9326720640113081,0.9428946512672269,1.0131073814059117,1.04518605204892,1.104420552710266,1.0831318075786782,1.1641302420238262,1.3052735487801042,1.354827322941602,1.3266376232772195,1.5090455166773973,1.3682444641751548,1.5483062330055921,1.3435535627348274,1.2720004758769397,1.3358666043853067,1.3182115578212725,1.62420944330257,1.5075693588061712,1.7568186437117752,1.1489418088555856,1.1156882942959263,1.1131265500266647,1.0433724097803456,1.1062174221055658,1.0052195915634299,0.9784387803004415,1.051909531613096,1.127648516944742,0.96740107851572,0.9141718365841366,1.1372342724056521,1.037402179860606,0.9389036215178538,0.8430481543520114,0.829407658089759,0.8501222141430251,0.9618686239585938,0.9601387167727234,1.0062558140090718,1.0070286023731192,0.9131993572636654,0.9991131531511943,1.0925611956988104,1.0329488408707674,1.0222627538823073,1.1751086480100164,1.2357367024054395,1.176269691615485,1.2498156741741582,1.3803733598543724,1.4642106959037091,1.3618439424305209,1.395393294559823,1.3096001280663887,1.2074044256808782,1.0860916658137334,1.096612354801522,1.2126798275519697,1.0946965719595134,1.0403440826099766,1.144290268919284,1.151359423321385,0.9985950665232397,1.1105213943220467,1.393530822385154,1.143824986433401,1.0817914975807768,1.1967241078231918,1.4016931207122794,1.2581212357701272,1.242609916435741,1.3680864850586079,1.3569693930018047,1.5798518449159435,1.1490104939390808,1.147532204537452,1.2732658650874333,1.062165323797572,1.060441191039877,1.1723260457642004,1.1378524156376852,1.066136370724474,1.0715898859097073,0.8277051656362193,0.6770334108697331,0.8727967888783524,0.9847948416480009,0.9782215036731394,1.552590483670828,1.3078592577831105,1.3017649709556696,1.8829665718841,2.212919461847664,2.185557408970442,2.8293539838832378,2.99323481749499,4.115353142528092,4.302449429341589,5.177488702368296],[0.5643322678076369,0.6181789686446132,0.6258715233595775,0.5277923691324103,0.5462597408329819,0.49777084764573787,0.44145923510933616,0.46313118556577854,0.47136792325219945,0.4253553040895517,0.4122476162066985,0.46406482058438747,0.40699089152386536,0.4173853650191102,0.48613700780318453,0.4496892403243535,0.496477215486797,0.518498140395585,0.615739590278814,0.5476480933261063,0.5945625319589171,0.6033584679485287,0.7210606603698975,0.8159985246813952,0.6882382067644218,0.6451452743487127,0.537352916481128,0.4663061772605536,0.4898855872926399,0.4695902853638943,0.4980021146722492,0.4837553299282709,0.5547068888277714,0.502304828608623,0.4593618268402943,0.47037404228212343,0.4611469065402667,0.4686657208519533,0.4631909018498064,0.4816290567551731,0.5128973882537127,0.6093877356776949,0.596141336608757,0.8450137029727491,1.3579219452435767,1.7393102720758757,1.8616497165255783,1.0832736260542943,1.0886675627862277,1.18878545177347,0.9373076069157767,0.8815347007596451,0.835253318654519,0.576656003628599,0.9526437950012947,0.5373552927434924,0.5609662430693027,0.7936621025128641,0.8250377017022502,0.8163704297587507,0.7194467759428513,0.6846331030704618,0.6246659024901808,0.7998164943562437,0.7125164120276262,0.5920266408871235,0.8054056133871651,0.646638225509315,0.8242710365758772,0.7400474772344894,0.9032462485267858,1.1961841474367374,0.85244745708685,0.9779598127153648,0.6703511824268339,1.5186857466113899,0.5666238881907875,0.5361387562181106,0.516922974570465,0.5413098112240589,0.4900865784018493,0.5439319770110358,0.8674807970102334,0.5068634593180132,0.5755342793188796,0.4459601944020472,0.45028576529330844,0.5681100632902457,0.47661126069950327,0.5438499276873744,0.5588349518524545,0.7441433992160282,0.6307577067860942,0.5267028942961755,0.5025845237342624,0.6063131180303,0.6007244803805519,0.534853268318712,0.5208358264778351,0.7420465473071121,0.5293305920282129,0.7384807948805306,0.48371151228783843,0.5374839707669569,0.5096388730828797,0.5260119099864077,0.7503698015630714,0.57388773797671,0.5601628628851736,0.7752880362796435,0.48832552548002994,0.43334563147837835,0.44119836767973913,0.4533181911061223,0.42896356980267325,0.43617046538095355,0.4716500995937859,0.6333659980291634,0.6541245587987154,0.5466083206724568,0.5519947584623695,0.47273087087711635,0.5405550622411944,0.44019064285052983,0.40366884467943304,0.45573186275454314,0.44845427598083737,0.4791767320543516,0.4723502454251686,0.49801612651680816,0.5503992186021891,0.5911204644288494,0.5393544959517849,0.49669880599223015,0.5295440846041218,0.6359189156717959,0.7256830598342109,0.5176513294184579,0.5091326269040372,0.5447724033796664,0.8579066205425601,0.8487034519123576,0.5822858296266503,0.49180596337109,0.46648712138156406,0.4449091734440252,0.4206491643852906,0.45069739246455126,0.42164430298296685,0.4647962128356879,0.543378041957235,0.5731304078010874,0.7943659432300991,1.43293154052332,0.8996226218047567,0.6307141720201639,0.49040649122956326,0.5351438507831778,0.4345748345689794,0.4730271438843667,0.43786707794828494,0.4392767969495443,0.4537420028702029,0.435784635033306,0.48476131514633913,0.6821107840295043,0.726391721707926,1.1385839406095897,1.0287600505117673,1.0000523405489978,0.6528944991375053,0.5290758940805617,0.46720381946502176,0.48597692267971165,0.42615797279060086,0.46034150930612583,0.4824039973218583,0.6256132958000151,0.4508384064018718,0.5266839183331588,0.4913944781984796,0.4579790157818769,0.49503965095124386,0.54405904751814,0.562573895370075,0.6994487978066715,0.7096814125614431,0.8782351146647953,1.3398772915686683,1.12745830196658,1.0842320315491725,0.9982188855791361,0.8722280632621077,0.8298605201683279,0.6506904073051777,0.6818681290811535,0.7023540802688405,0.672388257286451,0.7104931835803828,0.7726514085063406,0.7376194543172158,0.7541911757545684,0.6729055853997906,0.7618344850941736,0.8842268041469771,0.8879189222362261,0.9895604994601905,1.0434553221991099,1.091347591021171,1.080375400900143,1.1813218661780567,1.3203376929772803,1.3725620001793981,1.3513645135289611,1.5329933024573887,1.3822672589903737,1.5645158562155819,1.3394882395785288,1.269626990522366,1.3329550065698108,1.298886697524896,1.6172477600896256,1.4763517657584702,1.7433933319705457,1.1130190053470852,1.0742321255861174,1.035110556082696,0.989476938976392,1.090143793885299,0.9631402899386641,0.918081679137715,1.0246128004445527,1.1050707605191574,0.9140153010420733,0.8840966505663121,1.135347061769772,1.032298119007204,0.9426790754524299,0.7932012806370693,0.7097867289366067,0.7553517053541167,0.8956985795927673,0.920930077921872,1.002132046385715,0.9874762450321233,0.8786983230488054,0.9531297680368663,1.0600431646256447,1.0030833080501342,0.9745301030371121,1.142153243935562,1.206370668105848,1.1486717593208682,1.2388754466147878,1.3811222881318754,1.4606610923961707,1.3742100252590246,1.4100050662099897,1.317759678636019,1.1994999151291017,1.0546243081814664,1.0641980499314714,1.2005619611669844,1.0884078072016208,1.02143554126478,1.1306551995764114,1.143498698937697,0.9836052722367437,1.0920499366256402,1.3910628249193664,1.1458313850741062,1.0916032566088782,1.1973882527347488,1.412963223192845,1.2609484591362403,1.2409552030172029,1.402762429317892,1.3819984470788245,1.5673601133835167,1.166215902791892,1.1427048941812386,1.2433824039544954,1.0640155124213353,1.03802315630686,1.1866645448162678,1.138878701330527,1.0085486640415566,0.8910886938132584,0.6686349058248338,0.5294837101631308,0.764803391218223,0.9664679374753025,0.9231660063448128,1.4758026030970859,1.2316449670182816,1.222820123644154,1.8031608329904278,2.0856161131096975,2.121730175539373,2.7273707941878635,2.925355020960999,4.058718718538522,4.318985284018096,5.20770138435228],[0.6698767194920777,0.6561053543880895,0.6251526198703277,0.48681659704337,0.48091188645707655,0.46778727244067914,0.3718475050827048,0.37790323187219066,0.39689981069505276,0.3595617729004957,0.3522699190238524,0.40663865623427237,0.34627155881161814,0.3769645099671623,0.4613751546059726,0.4177769594327334,0.4710857359578105,0.5051213207088927,0.6330777297207976,0.5632861173507481,0.6090596080276368,0.6134979212852197,0.7435847035540688,0.8514575596822115,0.6921480714353389,0.6640030010417944,0.5501856050472085,0.460945403377015,0.471080472962979,0.4331008151138748,0.47657426505180844,0.4581900827712183,0.5200819225291412,0.46401229005877986,0.4266636209089828,0.4566510349170144,0.43359344084108997,0.45936771818729943,0.4553649749786538,0.46327660773241264,0.4943522939968268,0.6056862742911894,0.5960773918075578,0.8376190242038932,1.340271236782597,1.70415392529297,1.8549579609684252,1.077117310019918,1.0786448849732269,1.172835299515013,0.9206013946850278,0.878000558907577,0.8201627604119119,0.5562647781182662,0.949795298316297,0.545633012566603,0.5788486374585475,0.7892439212362709,0.7980110586223861,0.8427165711330701,0.7405482139464143,0.6864251665395228,0.6376081975242632,0.8277343321708247,0.7277485195476183,0.602229155126868,0.8320449323845726,0.6624187696799829,0.8460210516368931,0.7516930557655898,0.9207709180537824,1.215644750959569,0.8777280393954071,1.0236258821792519,0.6751472716408242,1.548694732704865,0.5861036214919381,0.5465373317630726,0.516918729944294,0.530452597681037,0.48940536718926675,0.5558402171960855,0.8551577936259925,0.45779703955641804,0.5841745562821054,0.4327221922035765,0.4654739256533071,0.5381551697723407,0.4771306008829706,0.5159781206736123,0.5546796296378179,0.7442517572633464,0.6307065171786462,0.504007144449232,0.4742578293365895,0.5740845074549634,0.5541895575761938,0.4816588081308898,0.4576237146102548,0.6966888963518747,0.45398508907432283,0.6354050219452264,0.42043601723814317,0.46816114271693504,0.4404837955842425,0.47326961843291876,0.6950403217870832,0.5010759304732055,0.5009728603849511,0.7550048718180858,0.43049574381571054,0.37011982137107197,0.3692863010959206,0.38189562882840883,0.36295642147626656,0.3959870879218823,0.44907157373985956,0.6131177034510875,0.6755033289408529,0.5390376734340809,0.544563624327968,0.46648202330026356,0.5022043935149557,0.3853742776392074,0.3445692159431549,0.40491202659910386,0.3847944440415166,0.4218926960138352,0.39869246625964083,0.4367402138107991,0.4792149260775137,0.5059620653928576,0.46392082064501544,0.45096396867952415,0.46504859173942326,0.5733696125794635,0.7046772775041964,0.4616451740357962,0.4455382124443913,0.5097794059654556,0.8496212895013586,0.8206384977744596,0.5648328644585864,0.46645619453520476,0.4373884467850548,0.4148503118925513,0.37814797277139545,0.39275268624007237,0.35791097476702266,0.3999200362349782,0.4784120294183258,0.5217776015579337,0.7733376359035694,1.5191007890341852,0.909814868115947,0.5867639293099858,0.4283989826990979,0.4620675032051526,0.3630426509120686,0.4156598522807809,0.4022946259594691,0.39240597046616993,0.4164993660611536,0.41799769206578324,0.4528739251288981,0.6717498221587576,0.6725763363301875,1.0940617885552053,0.9632965517871634,0.9364266837234532,0.6208901266556044,0.4901273714679195,0.4235593187550027,0.4322645930769071,0.37743065558780237,0.3894815690549307,0.4094598575632462,0.5776026418485644,0.40054400694105297,0.462802999355412,0.45429947948033933,0.4021041385139204,0.43503761971512517,0.48465104982652746,0.530676125255201,0.7042954871360371,0.7294668084461517,0.8892084552778938,1.3307331650285814,1.1140445576297275,1.0762087767984914,1.0012272236208686,0.8310299326580078,0.7801848414872672,0.5882592853696499,0.6232663935601042,0.650961144324319,0.6169294510903903,0.6554992285496903,0.7295216478007132,0.7105999043315352,0.7511107531072732,0.6605235565816535,0.7577240277778937,0.8820945108168081,0.8923931278341141,1.0061061391271207,1.0593266431367994,1.1088135290488679,1.1044307411973247,1.2159565638227385,1.3494639597017304,1.3985152206290332,1.3834287387432764,1.5656104464551637,1.4025225828271888,1.6068319920671295,1.3409033920108624,1.2752840288454532,1.345314719577781,1.293736348432741,1.6188940536218717,1.461533110457813,1.7538822846968891,1.0947758087296857,1.0606071428028172,1.011553133608364,0.9614195843510869,1.061143173446303,0.9318377613765958,0.8812238325606164,0.9686102576279062,1.0521335006736259,0.8593833677654106,0.8527513016288131,1.087745756573446,0.9930072314496989,0.9107671771900018,0.7499586318993502,0.6748090034139108,0.7272107889703718,0.8880060070828887,0.9295290983059807,1.0201356430429658,1.0232789471752426,0.8875908599760834,0.9670371578447563,1.102643522102897,1.0337247444741768,0.9928834765540535,1.1666296090653747,1.2335974832066945,1.1699379040283582,1.2635335173738738,1.4156978095716213,1.48627667067351,1.4087061800365652,1.443705862284137,1.3439161144505896,1.218020599140428,1.0604641328711821,1.0617540924565505,1.208081620887277,1.0968017579244396,1.0149173989548401,1.1205399344947606,1.140057601410598,0.9694048135293132,1.0629053345487467,1.3691037579077474,1.1295071242067092,1.0604010717308001,1.159271685373436,1.385548877053898,1.2302501237360601,1.2116018653031582,1.3767902890992707,1.358455445337996,1.5418293484487668,1.162924195905958,1.1393562139507707,1.2255835648700513,1.0572802864976365,1.0183661554181551,1.1612372504230872,1.1167816469976755,0.9761619049772099,0.8360454834775167,0.6200426777077443,0.4928618722947214,0.7646942465729325,1.0084379563056014,0.9489959568896588,1.5150228893209468,1.1999135232646954,1.203082912166946,1.7710996157234424,2.0077764536367573,2.0719175342270497,2.6276055041842,2.855463577036957,4.005363635402564,4.3456297139178215,5.29790710643174],[0.606811053691396,0.6007229331151955,0.5611864425704093,0.4910050973336735,0.4589133814194678,0.39591463574732716,0.3251468131301695,0.3780689670221243,0.37296026942101235,0.3328005302807201,0.3619198368194474,0.421269826064645,0.35412825887221877,0.39151274125458446,0.49747268963669455,0.4421653739521508,0.4766854104493776,0.5496981446648211,0.6848141091636392,0.6248160708933442,0.6873505678264766,0.6931659760422171,0.831751446070063,0.9351869974417528,0.7736195343571035,0.7464163024875262,0.6449095369327541,0.5308118728301355,0.5079436205933157,0.47722377020344875,0.5144957500929088,0.47166539308988553,0.5506131221664393,0.5097954725827005,0.45765101375784056,0.5105565919087016,0.4662353497855651,0.5368937337113856,0.5288793603847801,0.5379418005115298,0.5474981128070081,0.6736366641135139,0.6813129969930096,0.89681621261944,1.3779159409855097,1.686344940564057,1.893263330876787,1.1624418520371689,1.087420675435414,1.2168311201500284,0.9753456477278917,0.9931983623183096,0.8911860454482725,0.6240890486442561,0.9509508217672803,0.6481605477304159,0.6938611570951333,0.8634774423177994,0.82954381995092,0.9744826366820314,0.8414918367166173,0.7666758946651969,0.7101226507694505,0.8533400668279576,0.7996633899957456,0.6793040554183648,0.8711899648695663,0.7057652161950305,0.9050048438480145,0.772949500614722,0.9526991456054363,1.2071725851154802,0.9017778774123646,1.0901094513350256,0.7122950539071984,1.5234912765643271,0.6451290890511329,0.5955783840506642,0.5807319964791353,0.6067786333929612,0.5512767055011317,0.6623012911679581,0.8698715445689957,0.4951524210427909,0.6242131348391097,0.49680877869312706,0.5662848735330352,0.5762456794666841,0.5479878356646969,0.5714020888300853,0.5915694857449033,0.7923612286678595,0.6524634150252152,0.5206951507234457,0.4865413196501552,0.5822879931556662,0.553099503951937,0.4784171890262675,0.46324423154819605,0.7103774186680125,0.46087781827714247,0.647989688781171,0.4486161854860697,0.4900487231981917,0.4921717434173682,0.5234250139648031,0.7235183461798649,0.468464290442496,0.45673538831312377,0.7285366612170008,0.4475986837027856,0.3615753497020927,0.33078428313695224,0.3903145883686285,0.3767372982531926,0.4258633199355394,0.5222966361067598,0.6246490340998362,0.7271334671970715,0.5889203443573169,0.5812514472464874,0.5066811176423389,0.49057870983067753,0.37936094205334925,0.36510530507102573,0.394219055379787,0.3712530636580805,0.4081416113309068,0.36338544540806983,0.4510662635223083,0.46965172659990345,0.4731398795930681,0.4587222405875846,0.45978609582561664,0.443158405323175,0.58186701805919,0.6637605698720633,0.4445381740147312,0.42988916017622175,0.48984909022122736,0.8532170005437987,0.8520928096769615,0.6061384350126845,0.5070263861157628,0.48608764516514796,0.48432139692375287,0.4339598393926605,0.4364478024590617,0.36670861048135095,0.41449687827749043,0.5104111899787505,0.5521151658238711,0.7781687732290417,1.5487660945773183,0.9846040308955627,0.606218124820876,0.4440929882586765,0.47415696170256855,0.3966130077314237,0.42714659894738527,0.4440573725373856,0.44056272642011307,0.4522606308852416,0.4664734742776283,0.4813988511025716,0.6311358687435688,0.6078694810442006,1.0593045434111823,0.9036741293097069,0.8515109941772483,0.5694712271080471,0.4767246990465566,0.44316900574449203,0.4314210314555556,0.3915695775655378,0.42705415389223295,0.4532994380280196,0.6082450376510564,0.4395343306985867,0.5039226341579002,0.46084808526817816,0.4157829320190158,0.4441912369150832,0.45776090933012237,0.4928440859542365,0.697576484955887,0.7671536509605494,0.8940430076537165,1.3320823727613424,1.0543124267158726,1.1215261108545962,1.0805054984152442,0.8632164719967849,0.8178257996016087,0.6038711927674384,0.6031608375547057,0.615865746251141,0.6264720726034394,0.6455762353413877,0.755263462414218,0.710203423298624,0.7749025098493544,0.7048812187082502,0.7744636685462101,0.8889237833359458,0.9287182438114671,1.0364228820150414,1.0508277436680091,1.1204334080673801,1.141401224254903,1.2170875092495663,1.341634429068357,1.4179456699548327,1.4028590164431232,1.548751637238555,1.3889126131876852,1.5535823048047819,1.2632406655835173,1.2169555932121703,1.2858521553919255,1.2233812349744118,1.5471837403512394,1.3786063413907343,1.6670010218312428,1.035250488876793,1.0000039035325137,0.9641759569696008,0.8977148177872312,0.9854164136621888,0.8825892231989296,0.8273973923124994,0.9163744405725369,0.9977442849826478,0.8105156837948541,0.8374118540273774,1.0634201182253948,0.9502323748705969,0.868387936934927,0.7194369890222482,0.675795573851387,0.7200228111862451,0.8691131298185678,0.9141531046622419,0.9836364460495662,1.0413921300470796,0.8934192148549334,0.9732832905440258,1.1271087662967956,1.0514979466978862,1.0175534661448753,1.1883142610061255,1.2684775086965308,1.2021466625484871,1.2609485416095871,1.4149910199440816,1.5066043011510761,1.3991809041438248,1.4196810019337256,1.3147821940206206,1.1819162461006854,1.0462447448047412,1.0274039638809382,1.1530972028405557,1.0668202731758214,0.9791982127022781,1.057158470736601,1.0812090222606583,0.9199929704890647,0.9993261837842767,1.2897566376325056,1.0546310436278663,0.9956172491856484,1.0601145640496008,1.2749194262959243,1.1119357101427836,1.0828104268543055,1.280174931773952,1.2554320344765102,1.427052752366551,1.091508435081805,1.1040136113772128,1.2093639004767252,1.0223748692205836,0.9517259923661384,1.062053316651922,1.0498429637227884,0.9570671185467875,0.7972683357168918,0.6404960940782013,0.5148802323707856,0.8516774702443363,1.0618272087520533,1.0008305840145586,1.5590659852841644,1.2652092804342248,1.298521717102829,1.83790247509607,2.099899004383277,2.237886352181752,2.7141156932863244,2.8966520246386906,4.046356664842375,4.369420234826334,5.368962326733768],[0.7121482472569401,0.6565826334358247,0.6006360931118296,0.5279519429460608,0.45533314857979795,0.4473844626358531,0.34745962011269754,0.3832474957502559,0.3790733097084017,0.3548793093638683,0.3697801992467364,0.45411590319039835,0.3730054193337508,0.4057022821455125,0.5043564426244236,0.4584688589956047,0.49488263435546603,0.549541198351645,0.6697880478720073,0.6183173958711848,0.6774257832066453,0.6760247202265189,0.8081209925058748,0.9345848350401652,0.7468249398248855,0.7303978277231786,0.6211657049650751,0.5215084565178659,0.5100167590464861,0.4875807983191301,0.5053468945843025,0.49118515710208055,0.5693381621632196,0.5154879245200061,0.4582734714730866,0.507747129625977,0.4824677169217751,0.5342574675071037,0.5279723700015738,0.5347314717767228,0.5480273210536974,0.6616916610347515,0.6496437611354964,0.8592405193263881,1.3071331928433814,1.6230670564103795,1.789206979754441,1.0923534543360722,1.0648415551934087,1.1602190551161786,0.9421174357023365,0.9670891569992314,0.8830655602660961,0.6080926781432264,0.9866897139113141,0.6151165766064697,0.6452651775830298,0.8423594823105328,0.8432364328494774,0.912458295450365,0.8031873004894537,0.7513416448195526,0.7121255951211078,0.8864646886290609,0.7727507266162794,0.6772295050940406,0.8792497984194687,0.704468809416072,0.9015540679664842,0.7620744901313172,0.9566272325759846,1.2433851906597917,0.8988030469355103,1.0627921745357598,0.7111300897938531,1.586590522403716,0.6304571257332924,0.5890999202292956,0.5754992706555049,0.59281676120659,0.5593308236011091,0.6681273045057854,0.8841178613260341,0.5051690516405669,0.6494712714685142,0.5059035865017291,0.561047125742802,0.5730171757422864,0.5396722970825412,0.5640168101204449,0.5835541243860204,0.7691336652372358,0.6425511964743537,0.531549149691334,0.5008172735396506,0.5832353945234792,0.5520758395843954,0.49808500148333196,0.4880085055077813,0.7223815306285563,0.4738694049744831,0.6276016957008853,0.46400947266833636,0.501226419275247,0.48209433839235577,0.5004365589238123,0.6954402901887687,0.4636722410674595,0.4611955375584922,0.7382602468912954,0.42340723726541335,0.36576035003115626,0.35571750703840627,0.4018728183689432,0.39885209270623345,0.4371916231865139,0.5024344872297568,0.6276215640938654,0.7070111392207885,0.5889324057848441,0.5715578769981032,0.5074824450623011,0.5146193679294983,0.40014281811133956,0.37496505940573643,0.41481395844966723,0.3657987858754398,0.42518536923764144,0.373368353481026,0.4359602676033659,0.47328208535200944,0.4680233809210134,0.4650943905377018,0.4638551321065503,0.48935747432355686,0.5930003635475751,0.7025230121957152,0.4689187301089634,0.4712193087370066,0.5441393790595723,0.9066818790508542,0.8513156025586158,0.6134085972679116,0.517341164840203,0.4844634671237771,0.47862062274373834,0.430595577517265,0.43782219728902544,0.3868419689791797,0.4162245437217099,0.4898156745491126,0.5512991242998263,0.7825924013999295,1.634037720233109,1.0169365652772597,0.6218073451569275,0.46262449219944646,0.4841494186090417,0.4139382661541021,0.43821153433418863,0.45606542975513714,0.4409659763867166,0.4594878433130604,0.46754924975846374,0.46724135200064953,0.6497278629672968,0.6427045574961954,1.0733368731240267,0.9266770017626509,0.8963135598083164,0.6096472646084472,0.5083171484530735,0.45142726985184545,0.45640559424373833,0.417299176769246,0.4261448890346652,0.45816617690536554,0.6367087920992908,0.4504001971899618,0.5180917521939686,0.4687666153610398,0.4202530688876189,0.4481036162409896,0.47424135338839785,0.52305924820771,0.7011040862007838,0.7528433716669929,0.8916406452166832,1.3248497796738377,1.062432340029972,1.0691016658938173,1.1005742603188011,0.8677336945115002,0.8092226691217561,0.5973417259680257,0.5946152867928267,0.6333757744535847,0.599892226124434,0.616786575873293,0.72576422951389,0.6754921394562552,0.7485818401416825,0.6667584393415951,0.737568085807821,0.8476086950237823,0.8959958542750428,1.0043428693739513,1.0039687958529269,1.0732273724480446,1.0947243056647435,1.1820226984319475,1.2927829458064857,1.3732969873997187,1.3609877300596687,1.5047325371550688,1.3176208248490908,1.5118873022746346,1.1990731597006574,1.1634614783475368,1.2249269835251742,1.1496547746159216,1.467195128751398,1.2860134656842566,1.6204774094010526,0.9644503512661083,0.9427674960821751,0.9144134283119385,0.8622222982695944,0.9057589998465532,0.8184663376870298,0.7927254030494925,0.841909947749784,0.9109852838589004,0.7523492040397732,0.8248115583967561,0.9489709834836448,0.8976060458851705,0.8473940704823208,0.6810181682429406,0.6777656601142592,0.7135424467874261,0.8699525721670917,0.9548604723244953,1.0212817306887585,1.0865187452482556,0.910347568443391,0.9624224821036602,1.1529742925013136,1.061247194298759,1.002335092779255,1.1691318927821504,1.249462962244781,1.1679027914175135,1.2265274815868001,1.3901670371679014,1.4719880746403051,1.3569020868023092,1.3684511690863879,1.2640979556030956,1.1353815583570421,1.0096006619255231,0.9847091990224699,1.0940196657971126,1.0164644720965184,0.9347434742171984,0.9945025979031065,1.0236123622338782,0.8746236712546602,0.9314343265112103,1.213949109600659,1.0106592163315873,0.9459980678358473,1.0050578154536356,1.2363003013523783,1.084779148642495,1.0655644682852867,1.2800104978269238,1.2812716746582482,1.3827458611996337,1.0664666832214604,1.0422931799736475,1.099012705230785,0.986197484731168,0.9522268240112954,1.1031618291561112,1.0905286299176191,0.9357814655445797,0.8039541613077607,0.6048966927428516,0.47716345149800027,0.8226486533982448,1.0623136643716848,0.9854321407461295,1.5767044894909084,1.182156824755734,1.2214737241720557,1.758391904241099,1.9712404446297978,2.103029947833274,2.529401954257994,2.7769726436047093,3.9648739584584236,4.372432834854128,5.4857056668162025],[0.7339157843662121,0.6976018535517234,0.670934131751623,0.5861662582626549,0.5911820213093782,0.5136824284737785,0.4795107693284466,0.5220146718839733,0.5410593913227648,0.5526661260365561,0.5695530418180526,0.6038910827793527,0.588728765562501,0.647896650278003,0.7233700255705858,0.675703246102666,0.7026643025850451,0.7827084275019818,0.896604318381551,0.8546286069389877,0.9169830541399507,0.9228194516638375,1.0317807005047654,1.1465852551401345,1.0105057261298223,0.9907924527319055,0.9067974419947044,0.7882656938424581,0.7421119090791962,0.7117116101190676,0.71002468192146,0.692276879259427,0.7593607052394664,0.7472497614614754,0.6936953269907463,0.738868595177763,0.7175862548051369,0.7916994106518476,0.7690222233880807,0.7711334309315103,0.7928101441868861,0.8664206903950684,0.8625974744761351,1.003193685567534,1.416347085255068,1.674165360559653,1.923154747833838,1.231186631093525,1.1709822546986237,1.2896427730429685,1.1008518636190732,1.1444105363929156,1.0166517984016539,0.8256253065261367,1.1203508900394352,0.8366889582075838,0.9143864467241021,1.002720124920025,0.9668540334128198,1.1420224217817354,1.0243719185552453,0.977388451564076,0.9306591999410292,1.0506375791801088,1.0155290797964673,0.9087546420484006,1.03067129717005,0.9001013434656954,1.0508428149614457,0.9398905521026605,1.0779795280914384,1.3263975638917243,1.0548028102243314,1.1948286889460875,0.9142282783802487,1.6641744375623821,0.8785421265117687,0.8158203417395162,0.820196121062371,0.820256890883212,0.7972380358385599,0.900626946019598,1.0170499447597792,0.6731094929517106,0.8383611925588906,0.7276627378527942,0.812420269023749,0.7612556073087237,0.7706884302753588,0.7987136960222413,0.7993062587415205,0.915295613811267,0.8102394443121217,0.7375412642051709,0.7099909218145047,0.7607103505314419,0.7183734463307191,0.6793679583194908,0.6412152849953957,0.8033387333657068,0.6221387434590199,0.7253787371987247,0.6237307895948612,0.6161574669930054,0.6386588930772386,0.6452004087643909,0.7847844218267648,0.5791375009450714,0.5667778144765275,0.8020725520047117,0.5548932132346468,0.5402695231147011,0.5205209089778969,0.6102809310865909,0.6276972043571959,0.6828667039475221,0.7653969602243503,0.8715918130857208,0.9715618480038487,0.8433744026811083,0.8356355069724413,0.7587022163869109,0.732116796447815,0.6499630388486395,0.5994047690174454,0.6073756775606843,0.5289976182399531,0.5735571245847856,0.5225300566524448,0.6159546004303744,0.6249715522599788,0.6013135474592446,0.6183333340754984,0.6442425233618317,0.6331109887430086,0.7335672553744798,0.7591770169986254,0.6799869835253427,0.7056198032569239,0.7511197013215132,1.0809253050808636,1.055855639350512,0.8657941896506424,0.783531511649777,0.7563801550995636,0.7298365581276556,0.6847712369186556,0.6479612733512478,0.587859685244171,0.5825389088862277,0.6133466655000951,0.6347237379449703,0.8320786800133019,1.6366559883608376,1.0433916897178817,0.704930207030435,0.6036080510093382,0.5976462567883505,0.6041737723374,0.5943310926780652,0.6530089901089187,0.6747815552940563,0.696980503166346,0.7101677099050372,0.741174009753197,0.8303090106613622,0.7674250054107474,1.151590146497857,0.9853325181781529,0.9361682512078356,0.730286474027614,0.6996760335431792,0.6648927947826547,0.6539887249911611,0.6304948784457806,0.6090774969507253,0.6305360552068343,0.7638816462434548,0.6387033480313792,0.6709037126155268,0.6767742550294958,0.596170265622255,0.6342094936374858,0.642984883237967,0.6622712959178104,0.8606735969210596,0.938764200044382,1.0326759977073385,1.4392444925795438,1.165780095590486,1.2536478845711563,1.2397134009586646,0.997439842833608,0.9482312993379438,0.7482586861573856,0.739762429558158,0.7590624187054317,0.7477937962595281,0.7376384486144147,0.8108130276483257,0.7620178061415599,0.8222259578743377,0.7595766544710039,0.8239369820801374,0.9154251879428381,0.9454663198454086,1.0578180038408884,1.068339405530734,1.1311077946399029,1.147812017720022,1.2418705954035487,1.3648873644023003,1.4279122430000484,1.4214046923218568,1.5873788149554526,1.4082873384499932,1.6286216020944897,1.309292837434,1.252194579340647,1.3296932976674198,1.2580528446578843,1.6147162164497335,1.410321239206575,1.6958731895357748,1.0633109008404975,1.0292345636418403,0.9782973851172996,0.9311352471877681,1.0366140647554265,0.9263372105526857,0.8789066662778081,0.9612196821226071,1.0541900337091454,0.8752725246851176,0.917420860357567,1.105427714664682,1.0158064768169424,0.9502225531817672,0.7955972239370106,0.7514383833914934,0.7870056275752446,0.9035397820746289,0.9662004642521922,1.0494717350558906,1.1141017554313413,0.942884941462048,0.9927477618965619,1.1645294030472275,1.0928072724181712,1.0326392152006554,1.203138334067887,1.2824878565707913,1.211056335987326,1.2812695639199212,1.442303378566117,1.5205574973155114,1.426187145408578,1.4532134306167106,1.3458145709796048,1.2071418143133605,1.0576018529346465,1.0459681277137027,1.178169845651217,1.0897607914036878,1.0037021347708175,1.088986051154286,1.1129236564922496,0.9538824565272984,1.0256696380303212,1.3189179776559912,1.0835784457918596,1.0152521123179212,1.0730113145831301,1.2875763141010719,1.1308303795660382,1.1113697108766567,1.30740063748543,1.2825544443321717,1.492397467488227,1.1383893551794657,1.1238239573979927,1.21373456388676,1.0468149384841965,0.974522175780996,1.0866474525528158,1.0505509477372619,0.9738169950053804,0.8573387488580855,0.7281693954524048,0.647706391221959,0.8973937632670438,1.107080323942886,1.0361127928102372,1.571738750041946,1.2346908415228663,1.2580728640641,1.7734307711603,1.9811833661146925,2.1109915593784594,2.5706371949807703,2.7773181497811508,3.9217390147303486,4.364537720514853,5.422017986462421],[0.8119276474568521,0.7644717602733898,0.7325729537179513,0.5079866604872646,0.5334361072686498,0.5452274512951011,0.41284831532716043,0.44280571507826527,0.4409569749031443,0.4004176172141261,0.4202549861815752,0.487625070635806,0.4095883686767804,0.42596344264262603,0.5124044536139816,0.4744077741116068,0.49830264155384807,0.5438749555796015,0.6668460195640754,0.5935527589772044,0.6522846680932876,0.6475686384501702,0.7930200792853418,0.9097518076382864,0.7244471119511793,0.701235709946976,0.598523462785854,0.5045313202577777,0.5026442829685902,0.4803997895185842,0.5250288280170625,0.52762632292255,0.6259486180299418,0.5356321537489143,0.48034891335585017,0.5062156391203017,0.4904882161931235,0.5127618158271214,0.5001560237045004,0.5100454683672662,0.5078252187988735,0.6292507497354402,0.6244000583574539,0.8423126008561657,1.3161813164098082,1.6450442081371879,1.8455026237784886,1.0906560943754686,1.0497738610747533,1.172249656192682,0.9289832338354153,0.9206666696328338,0.8564441566554506,0.5752158092615579,0.9703991223066936,0.5952254102149014,0.6295630949679254,0.8206741593905911,0.8302012356766938,0.9402113622809539,0.792929269675708,0.7374892510203015,0.7003347194938386,0.8895237188909328,0.770962634639528,0.6580906320791798,0.8767127174128582,0.7088742142745375,0.8963074333171375,0.775894054144253,0.9551359369485475,1.2375585900877277,0.9141457310798007,1.0742440633487214,0.7176713640817041,1.5759921916507253,0.6406744652386074,0.6071944127607191,0.5806810405714947,0.5844952645540685,0.537762503041605,0.632779072577692,0.9033657565225396,0.50373114656124,0.6170115918799886,0.4847849870226029,0.5402307566140022,0.5859376046355904,0.5336619706138217,0.5726103997965198,0.6044387432800545,0.781501948350322,0.6867218430190275,0.579817166851186,0.5417729461791377,0.648859551503428,0.5979386588232778,0.5689080943489323,0.5567006910512563,0.7938513032694192,0.5417022380581709,0.6791339883584973,0.5004979880563668,0.5588529593992827,0.5023336693658359,0.5363466477027056,0.7478264520547452,0.5545569658752623,0.5547648911708062,0.8072279681252957,0.5052674356351432,0.42749966448654414,0.4117235933067544,0.40422237383248244,0.39447934397040024,0.40871485173729083,0.49327162311128114,0.6071015776425499,0.7070815969510071,0.581062532192703,0.5620243960625354,0.5047484399482274,0.48632985932166234,0.3784814272510476,0.37194040778808535,0.40697976352185544,0.4267616948811916,0.4463223656483102,0.4307451820372041,0.4637404868130002,0.47081345884146536,0.4994114449985461,0.4559034297164699,0.47196790501100205,0.4520856616389279,0.5621314037338718,0.7014581482000032,0.4361271514681768,0.4071960318024754,0.48721244769228944,0.8472383204076378,0.8274965697872639,0.5740304030282012,0.48048845546317187,0.45610908384612353,0.46413423416966865,0.413297646588397,0.4469786867734916,0.40618040222509405,0.4596230108284162,0.5456540175034673,0.6153209165861118,0.8695455674268816,1.6530918031678905,1.0043962397287456,0.6700267499942455,0.5250577923835439,0.5518788549090701,0.4474705662436614,0.48645095041051833,0.44965536727811245,0.43835140202519285,0.4233296700167747,0.4459334929400809,0.46460468783154374,0.6323095192361583,0.6286167925065456,1.0619247698360088,0.9173163181255284,0.8738794068823782,0.5874895765862451,0.4698475126240763,0.43734748840674864,0.4445406178396459,0.414465295192097,0.4538138284430428,0.4807154502528437,0.6546507140768935,0.45240561333968726,0.5198863101441028,0.4647325712187524,0.4510084086552968,0.46674784964110727,0.4894827021174407,0.5248173463194645,0.701868015138996,0.7475307366022387,0.880040543433508,1.3121246985076251,1.0846334145832546,1.0956702542667887,1.0467089814880985,0.821416712561857,0.76786831220667,0.5653104317017011,0.6049350925406666,0.623681306573757,0.6100774380107321,0.6600821660064727,0.7377787576765943,0.7580533173134607,0.8222634594685574,0.7191916592188439,0.8171629078075024,0.9494620555164939,0.9528885347898192,1.0531395787336053,1.1253211270483934,1.1833950632799675,1.1663929145134042,1.2842677061201753,1.4196617230355528,1.4515304821616342,1.44011539121136,1.6366422257190987,1.468435009225405,1.7086740700797889,1.4396037442978902,1.3690975043323583,1.452159147524187,1.4006696114693535,1.7546344061399626,1.5882571204866172,1.8569389898229547,1.1682291430601328,1.1414088491719585,1.0915012429683444,1.0346279357788901,1.1281021477051645,0.9941471721013887,0.9201591735582143,1.0010228536589072,1.0804975227805649,0.8820703983945979,0.8668751202468787,1.1251950326585098,1.0155284999379683,0.9227144342426723,0.7722802697865252,0.6978799631432385,0.7641123342569215,0.9487201171034131,1.003410137856759,1.1099127637168031,1.119695245185134,0.9652572134595155,1.0473077031696298,1.2031720546577918,1.1377487264103987,1.0636511723559845,1.2434588754405362,1.3023544310014694,1.2395663588611827,1.3476970314615173,1.4978574153782571,1.5514611077622997,1.4946505399765408,1.5414525864264548,1.4344046502497518,1.3122720087504895,1.1315422541134645,1.1378351172054908,1.301256344136241,1.174767947066176,1.086951250304747,1.2068880927580632,1.2310854160022784,1.0416732872822634,1.1468927655527479,1.4522976408990615,1.2064327641649624,1.1181635579646598,1.2331767942639453,1.4730005757727662,1.3090900641474894,1.283977585733202,1.46482835719307,1.422138373899855,1.6420871861345712,1.2421787419721348,1.1969571669731722,1.2744031112295346,1.1115898707511416,1.052367399077221,1.1791942936756756,1.1129600106179187,0.9873641729975511,0.8108826389696248,0.6347850451050122,0.5480740929592305,0.8418871428999504,1.0844661017885842,1.0275319829709875,1.5849315322483974,1.236364722889472,1.2522504459812396,1.809586335011701,1.998461455983566,2.037923722516461,2.599149473132219,2.8579174854185787,3.954680386439023,4.397706085571494,5.358272459418381],[0.5470392546361587,0.5802211815128135,0.5616450318176562,0.47762787887230235,0.4787956387637451,0.4046988878286112,0.3373900396328538,0.4091231301574798,0.40256565822337326,0.41861832809530236,0.4489920003975551,0.4888057233475297,0.44581523107050347,0.5146101628108039,0.6211705900718049,0.5640140648406584,0.5840581139961941,0.6669631814611274,0.7972779144540056,0.7626138949838532,0.8520570140081748,0.8579831085102214,1.0119278582623097,1.1024838322348063,0.9581378674913467,0.9274786292613327,0.7806254879918935,0.6485872964179363,0.6192674397218831,0.5683596447812296,0.6230112203359199,0.5773305642276073,0.6143802125967766,0.6120756141420132,0.5566831999796228,0.618212623463132,0.5692008538778593,0.6304156665525605,0.6344123518106917,0.6346378501696991,0.6737533959175911,0.8204916677386795,0.8312495621897354,1.0433985400617407,1.5306512491958366,1.8027333756240684,2.0380038557792637,1.3190579117607135,1.2033767037253313,1.3108658203577084,1.056634352029579,1.1328146818752374,0.9804886185435895,0.7397339789064804,1.0072974980554021,0.7887890006711598,0.8232499582941284,0.9395696116354156,0.9036197513237563,1.0521874180824295,0.9374073123373237,0.8937149815891045,0.8468554876989068,0.9949848525816013,0.9185336744580169,0.814334405872725,0.9848287137651155,0.8143773458622539,1.0294517695364127,0.8613522725773036,1.0624268512789967,1.2960807633286229,1.005287777855341,1.1818801207254075,0.8459764045568681,1.6722444809320953,0.7688522380032,0.6991985031381863,0.6880043798489336,0.7097928240811923,0.6395971556958511,0.7045991172706413,0.9530536928518978,0.5851244558317857,0.680866937875614,0.5921937287048624,0.6505409398008883,0.6264197606562175,0.6535401855530235,0.678714640424085,0.6858284111954969,0.9098041758128648,0.7464776067203462,0.6324238915370815,0.5953514800996327,0.6577678664537167,0.6255488690269895,0.5566118692100651,0.5308810413968093,0.7237662178195626,0.5043660200868861,0.6695005645103396,0.49610037950956837,0.5131019864881978,0.5245539896885641,0.5540827768634674,0.7653731427520711,0.5213877715571839,0.4861276980771639,0.7450259356074759,0.4790672420275682,0.39399935586885115,0.3589124128343882,0.4544105842520905,0.4912493209266649,0.5356813908865247,0.6351796966479667,0.7379900882079181,0.8155137672230995,0.716249047519345,0.7038507003051062,0.6171778386185081,0.6152794711184629,0.49756891830989514,0.45900095497008736,0.4530338084690102,0.40411791745473596,0.43007046685074934,0.4012695811380623,0.46135563683920805,0.477049233451991,0.4905292774573706,0.47038105810598546,0.46993517358724907,0.47078205062073475,0.5972354234801118,0.7093795089096111,0.5061498234926746,0.5395011848930391,0.5861147697423206,0.9629659316569344,0.990613129388855,0.7551272933891411,0.6216041787148752,0.5997199803417356,0.5692779623560105,0.5243596388069027,0.4986221777712326,0.42139523517064315,0.4393178948991909,0.5340928723887106,0.5613747715416588,0.7997724828730232,1.5438505878971862,0.9575058632352993,0.6135322204995534,0.49294413192992287,0.5085192504879079,0.4625148773966064,0.4610543928625585,0.48050425313755263,0.5179132155196394,0.5364957594867208,0.5529014244654713,0.562396398009696,0.7049514544156588,0.6790901986833809,1.1072360591348855,0.9589444722112054,0.8982968835283305,0.6343675614524223,0.544361382147701,0.4969817642589164,0.480534631507726,0.4575296842626966,0.46521762239982994,0.5123318539841734,0.6454806608423894,0.512043799766967,0.533001946067203,0.5191125090477264,0.4383990364829297,0.48617435474709714,0.5089143407710129,0.5394429406498419,0.7486661982239677,0.8301853124114914,0.9831531963844423,1.4174282211627844,1.0906559302139316,1.1943182152470704,1.0857557979485095,0.8943408390602945,0.8549098986463456,0.6343462219904388,0.6054315736632994,0.6066182209859103,0.6408586129025748,0.6495953221595855,0.7362590362844956,0.7155149041854074,0.7639022408444578,0.6908865721923508,0.7679326860876616,0.8862469422389608,0.9118864865002663,1.0118479245838226,1.0391042931771621,1.1154544684715169,1.115868436129374,1.188450700797063,1.331263703861639,1.4022819960880846,1.3658707814682198,1.5165743651557053,1.3740565143228596,1.5360209692261868,1.2652422731337876,1.22089991229157,1.3016681230384397,1.26256170212547,1.6090259684369879,1.4422861564303586,1.6724963587141508,1.074805230847229,1.045899276967617,0.9999359390129982,0.928848912448383,1.0503381463176826,0.9099858992702674,0.8353111960177867,0.9569853457705879,1.041797392130325,0.8362191579174746,0.8361607880172737,1.1428995921714808,0.9825068926555512,0.8834570846377271,0.7375674184926613,0.6727837535337052,0.7027666277358301,0.8549086691400392,0.8826509153611557,1.000641049578166,1.0175123807238469,0.8752899363826409,0.9663804038848229,1.1094035800611572,1.0365603136118826,1.0026654132899608,1.1858476586385063,1.2560179124509723,1.1961157627499241,1.2805884526557665,1.437620453066846,1.5174194315930118,1.4127202893325455,1.4467124685547503,1.3283931259939687,1.2044720750743187,1.0561120769415788,1.046734940352161,1.180638491989217,1.0742256415646363,0.9895953966386032,1.0766604230230716,1.0878179913139232,0.9294546699490374,1.025523531808377,1.3099781155323598,1.0530769871849646,1.0191850087913503,1.0870301076915854,1.2960751435199553,1.1284346585246328,1.0888455425372607,1.2655366752358257,1.2347504922961592,1.4489031372916645,1.0791593077105146,1.100381624475774,1.2302001515403467,1.0112947898166598,0.9528645389719937,1.0350484177271946,1.0134092548148246,0.9620262237733669,0.7858180785988655,0.6383490105328868,0.5469687185602586,0.8018777535019797,1.0515579180244392,0.9887723679809909,1.569807551517541,1.27642371158273,1.2860120761815839,1.8494468822074839,2.0797816011811,2.1671281524670514,2.7437431456383745,2.9258852033437774,4.029027934506861,4.364578973448906,5.297633963325103],[0.6322830467526805,0.6554281857362088,0.635170178283452,0.4535314797759111,0.5079973166863105,0.47325529791135446,0.3882924065888874,0.4319223399485659,0.4318780299217113,0.3681003687994179,0.37950137510994314,0.4544700960635802,0.35412130450908935,0.38185399817572385,0.4628782336662216,0.41314388675997554,0.4552637357905482,0.4980537199547426,0.6355948869012666,0.5580268262139382,0.6138882995994119,0.6284296675345021,0.7622474005250796,0.8536292570600333,0.7251401511379955,0.6814362454962019,0.5626084077245939,0.46414126559221364,0.4634517697559578,0.43730190286928655,0.4804933562321908,0.4470739954075273,0.5578336518829087,0.49112949344363216,0.43201764783780494,0.4533745952675238,0.4283401060562924,0.45147685753832,0.45067558125631496,0.4908551335311041,0.5056035448643224,0.6110316960092909,0.6157607111250014,0.858441616810765,1.3777045196082418,1.729512763282524,1.9018309386601104,1.1162815633747605,1.0714885076689447,1.1939672155095644,0.9627220400047037,0.874906681205055,0.8039671590553995,0.5629515031452507,0.9268008481984406,0.5572893483260439,0.6093674199241552,0.7944102534912163,0.7706317332814149,0.8716757431004469,0.7581582663141424,0.6833790861891696,0.6288129697504672,0.8205815828429386,0.726363446806762,0.6037366795093737,0.8170770980239748,0.6526641504147912,0.8396828765354929,0.7448986575955323,0.9184283882329901,1.2083148817520946,0.8638212145736879,1.0145554252952054,0.6691246186769673,1.5225792396562712,0.5756566141543354,0.5468364946251437,0.5081637043098967,0.523205177847537,0.4941064070542751,0.5649494481225945,0.8955720948705098,0.49284543538783065,0.5874507276826892,0.46887735787767854,0.45747177775936904,0.5340514980039729,0.46547431807308565,0.5336392173819584,0.5542221372878897,0.7338633784666992,0.6314027759440946,0.520349052042437,0.48444265325186764,0.6148677619076744,0.5864083300378438,0.5160919043745907,0.5056571647535427,0.7587799885071986,0.5134917032616747,0.6904887500258715,0.4521770496316947,0.5473024652080214,0.5247547457200928,0.5666978099636274,0.812455372592412,0.5635902418778284,0.565387864511776,0.8279603106744511,0.5295442661601122,0.41596963990124897,0.3867200296991168,0.4247491851933476,0.3805455164310987,0.40172343627324125,0.4692222322118695,0.6240944446160995,0.677094341000763,0.528233561150406,0.537616496155789,0.46191639987309685,0.5038152920131754,0.3843069592715287,0.36780330506679765,0.4100605361049426,0.46606276385024686,0.44410750232051904,0.4499941819761811,0.49312037435301065,0.5210310216219401,0.575392133279929,0.5059323671553455,0.5204095418961856,0.46991939145482603,0.5499542214985633,0.6955039535543537,0.47387890718320885,0.4478638944100506,0.4964975990535396,0.841581831401916,0.8531409561398919,0.5786156786869291,0.47121739457471795,0.44456420204854796,0.42470882390871056,0.38866921238839086,0.40796674448269554,0.372240145062647,0.430345896381711,0.5260789557890412,0.5570755497380653,0.8160796630532567,1.502508237127467,0.9319559025717928,0.6398924546736652,0.46626227508593937,0.5185323298271434,0.3956722095465486,0.4560580186150939,0.42535683447229633,0.40608301828000126,0.4294719427016777,0.43364351865199635,0.48587826857305066,0.6449660510448346,0.6725495073584817,1.0933548374189075,0.9701131179911779,0.9346699371446611,0.6151439571614186,0.4865830531433369,0.4451959558421028,0.45941843571626234,0.4004788198774997,0.4364513456065289,0.43872469359445593,0.6018856690642564,0.441112455177768,0.48815278015140534,0.4740914779611633,0.4429485499834377,0.4744863862160575,0.5228469513365089,0.553797839388571,0.7188069702775803,0.7488885960026471,0.9171554130990551,1.3327879768059274,1.0911486598175937,1.105698664800794,0.9418013230156379,0.8106648197573731,0.7789184122761854,0.6234533175865121,0.6856405951810731,0.6821534050604166,0.6926812824705733,0.7382463748258375,0.796248653001281,0.8116202509153586,0.8382541159530079,0.7444762893909953,0.8427595448517949,0.9616060792984523,0.9541411193189404,1.0329961025043126,1.1178503932636998,1.1736119479443188,1.1429083538610143,1.2454600785071521,1.399266865558558,1.4314036533148837,1.4006599164900737,1.5893046779608524,1.4522855729123323,1.6599967736254408,1.448462177752993,1.3733773421756519,1.4512889907655182,1.437883038707204,1.788191444263621,1.646508469418082,1.8346919959424113,1.2261068719440382,1.1946294064231735,1.120341424010445,1.080792275759465,1.2149235407877104,1.0602589278032861,0.995647173072615,1.112976348502828,1.1852995357770082,0.9745197106193373,0.9273257083323776,1.2466132968941186,1.0911340979765436,0.9953203893480568,0.8541496773133286,0.7480067373086751,0.8141819088011115,0.9627807081443073,0.9894213188655065,1.0999268593867206,1.074838266590775,0.9679240106569614,1.0395221325547084,1.1504703349610466,1.0935467578378648,1.0623641602610983,1.2314818962957932,1.2814096573665357,1.2366586789700198,1.339454718240588,1.473759492646284,1.5377705898596603,1.4635910884648493,1.516573585369847,1.4178396304543006,1.3074044468889994,1.14906567490172,1.1734188498063858,1.3110986695080886,1.1837822184637026,1.1192896243057187,1.2393626344554012,1.2476492022255017,1.0786894396664355,1.2006189398745188,1.507601800991689,1.2278797313569616,1.1765132694076472,1.2935878221488293,1.5032325256348393,1.3271506877848098,1.3011583300715652,1.459608897736938,1.4336178957321073,1.664561006592787,1.2355616954939546,1.2204698795372007,1.3308259327423302,1.118558055812917,1.0701931342420612,1.1896997196091537,1.1224360103297177,1.0319837179124258,0.8607357539504013,0.6948929799287246,0.566389065396923,0.8537451602263048,1.0154984561242226,0.9862517807424389,1.5168103794471883,1.2762531241572463,1.2842703237428117,1.867435284151295,2.0953564181581217,2.1026583969731925,2.7590777115320866,2.9750109165453655,4.042682784477746,4.346995979836302,5.215702274525854],[0.4954593888455411,0.5663475399772966,0.5383482302748256,0.45284971607013674,0.45862357499688633,0.39019101711909937,0.32740850851283415,0.38466026818449184,0.38181527978631047,0.299914774931669,0.3128543232822906,0.38338893466377183,0.289706956711918,0.321817437827034,0.4173888514601184,0.36664346604151377,0.4326937059440083,0.4883404552678694,0.6475762621039757,0.5728091477808781,0.6334594834094318,0.65276029031211,0.8023766508405312,0.888549776660214,0.7456956069667389,0.6973583893863898,0.5933790577138918,0.4607232820163132,0.4502547877711269,0.41575399092950904,0.438054597526451,0.40184498555094195,0.4606885621181424,0.43258419519166325,0.38798405514964773,0.4269732003923872,0.4046269333115831,0.4506103487716546,0.45859017033571725,0.48526596090581775,0.5114987425925803,0.6379624383642198,0.6622719215356397,0.8921884813089807,1.4252204767706824,1.7551341770506732,1.960603564393952,1.1768295103484085,1.1025357573857932,1.246497618609315,0.9959646342228562,0.9569268057873258,0.8437622289326747,0.6048408904799458,0.9242902098138495,0.616082343122203,0.6733858696257188,0.8187669830745696,0.7536463852472471,0.9307491808472751,0.804324888532792,0.7150538363127236,0.6308041039744525,0.8037942770765907,0.7703765201178571,0.6189836546467089,0.8173419518835876,0.6408879412075481,0.8487949626495465,0.7370939369948905,0.89769444953883,1.1720878603850393,0.8462750248870365,1.040654680945872,0.6532537107006032,1.5112327864181152,0.573946887087563,0.5164098318989775,0.49313882947644533,0.5255680042950964,0.4687699154876251,0.5624643679265309,0.8198543292716943,0.44712263422023746,0.5707313036090241,0.4330937916702244,0.46628872573593727,0.5177659209016555,0.4596567234565581,0.4987084214382045,0.5187340482181249,0.7180353020788427,0.5824332598389727,0.44435864239194495,0.4166042564682261,0.5284361230901229,0.5355070346401307,0.44376809824829877,0.4316706452020922,0.6810627549968202,0.431557556844907,0.6584747038946536,0.394767705908139,0.47790531628444455,0.4720282348445808,0.5132038438416003,0.7462489186110757,0.5197662397336398,0.48659584163884895,0.7445346351732499,0.48151488610037413,0.3382036443384562,0.3029900757821328,0.35197375972728534,0.3223216328083146,0.3828671316819899,0.44815733216925363,0.6178267449813265,0.6880700417506213,0.5293776747481659,0.5551241659089154,0.4485641516512309,0.49048621808067505,0.34628578737265137,0.31956839525656583,0.3458084790854602,0.39494512754996547,0.3777491644443602,0.3751981928848441,0.4334096695881206,0.44637935662640355,0.47283917947344717,0.4312678888850578,0.426311568618007,0.4002649813363157,0.5484457646836547,0.6637603645245126,0.42805067523288803,0.41411349218519033,0.4773932230772175,0.8364499101173647,0.8822718249715461,0.5853400201259219,0.46319140999748937,0.44271717063432553,0.4079724733820281,0.3673411202545928,0.36212219554102076,0.3059060812183155,0.38225113596631155,0.5085235194728689,0.5342667276164642,0.7540253374025914,1.3949210541148598,0.910435710297729,0.577341418422987,0.40437357144719577,0.4540750484419018,0.34868471168471943,0.38543496202421973,0.3735820255665169,0.37130454755832487,0.4131227109071456,0.41411144470755445,0.4754188348542968,0.6693109927634224,0.6712852113863677,1.1171201405634579,0.9763164299424063,0.9106449767643872,0.5943592197637013,0.4594075116137458,0.4008052411957049,0.39548414809959775,0.3397961590712614,0.3731392380265571,0.39242292417878843,0.5455579064616761,0.3798761634050038,0.4341395279655779,0.43309186150633405,0.3647580394311057,0.4213407324484433,0.4601021977896972,0.4970914678110389,0.6927651622946629,0.7460103069592728,0.9035504775572764,1.3328388419243495,1.089019986914817,1.1454425052767596,1.0121536140851488,0.8764822271690247,0.8338123941093131,0.608851244758523,0.6083570463788812,0.597464574182879,0.6278045797285065,0.6453924541640187,0.7413683571870291,0.7069334452488207,0.7419329532188811,0.6802753608549097,0.7667195517254672,0.8815536483479922,0.916937245169157,1.0047830722830886,1.0503927711237584,1.116364870614172,1.1460478191946328,1.2198606387603776,1.352854308781816,1.4252929528676523,1.4297076728408649,1.5741638964723665,1.4278355365178463,1.5332481664722288,1.2835406699182395,1.2355340376739854,1.303289879909857,1.2554928472516698,1.5985597039354453,1.4264654269619823,1.6435650054806619,1.0785093459165283,1.0270433480201213,0.9736765573781574,0.9208883713847543,1.0510980470631102,0.9195760696966204,0.8462394413979578,0.9922589784620331,1.0743406185671545,0.863677046733702,0.8561682937985545,1.1576652995657688,1.0145220357313045,0.8867175160380367,0.7441824868547563,0.6731675913747021,0.6947664359222367,0.8319813156232108,0.8401062686225362,0.9223218522375864,0.9397514263226562,0.8282719157964428,0.9268804230287006,1.0250417509026117,0.9604177891310545,0.9864101567838182,1.1592708436110404,1.2373298493505644,1.187957602413481,1.246240534513895,1.3908232574478117,1.5096695638281143,1.384569364250581,1.399931642073821,1.3023461808557697,1.171609095430568,1.0440619592332394,1.0377950247547358,1.1626287515811737,1.072119812689096,0.9879190858239345,1.0819161871875167,1.0972772997646212,0.9452213867326743,1.0544826062063966,1.3346780054135297,1.08980532783555,1.050712054672009,1.1290364457746103,1.3213336674634362,1.1505444294146003,1.1107351054057293,1.320461510506739,1.2723489911150097,1.4500805896534328,1.1275186380610913,1.1319191689812207,1.270120368409408,1.0808250132987176,0.968567633864949,1.0692326224884794,1.035506613647381,0.9525491978419574,0.7517859517528241,0.6303276322987525,0.5055659412723739,0.8292063217867116,0.964782090381541,0.9405263424515461,1.4379375192155692,1.3015883675544577,1.3447978276744728,1.8688287999997082,2.214286260993488,2.3730266860616474,2.898561846399917,3.0022287809070414,4.126581741710792,4.316434395115778,5.229446105359631],[0.5524073237271364,0.6448494902441648,0.6302256651627505,0.5136195749733949,0.5406579574294095,0.4937445418531122,0.4164842723781982,0.5096245582991591,0.474386915921241,0.33879101421278035,0.3621850722439439,0.4636822309672569,0.3312736506056086,0.3382558572896533,0.42771811838523616,0.3794062294261299,0.419647615734281,0.4722481962936936,0.6452612044434275,0.559220998430499,0.6321264165785931,0.6535790011237125,0.8289253217730248,0.9046663021691476,0.7726221734464916,0.7088016466137868,0.5908488569623813,0.45408020019767675,0.438430213861546,0.41485481173901734,0.4365608812612922,0.42217726735254074,0.5025403721804521,0.4489571099428298,0.39367185284700124,0.41676751369152343,0.4042605207629932,0.4402480410521915,0.43910911387428464,0.47599625868188544,0.5154443563720819,0.6263954418893641,0.6590307219953777,0.9066417966920934,1.4525586859034179,1.7848537665781403,1.9993835162823967,1.1949203854276125,1.1062785060437732,1.2619262103050228,1.0092449692285295,0.9393029185598337,0.8224054014549145,0.6003407256484128,0.924600250886907,0.6205990697609527,0.6810221458767923,0.8026670107767642,0.7392517996894639,0.9398088770864226,0.8118718143089786,0.6943093549893402,0.6000951640421073,0.7775248151826334,0.7625693118609417,0.6074535136573715,0.8040791153702629,0.628901445901708,0.8536406766659563,0.7276107525830406,0.9039967048035475,1.1820261767533806,0.8362392752837177,1.0492132453670318,0.6381016447861959,1.4884965543775859,0.5586513678241819,0.49730351346761975,0.4760882120354748,0.49838933103273647,0.45339712375707303,0.5523104842486006,0.8171294373278161,0.46841373146446597,0.5387423418298041,0.42662369271890677,0.45015734564659254,0.5184352862263055,0.4381500894431044,0.49436247791197657,0.5035912069301581,0.7019761370151076,0.5814160336944806,0.4682654826391034,0.4398574302628901,0.5699976064762037,0.5730167628722203,0.5073321861804982,0.5146563662379369,0.783062791030313,0.5142417117079265,0.786602899312131,0.4600530413793702,0.5834805610833214,0.5672077279542699,0.604126863959884,0.8375451443908677,0.6337059938597152,0.6121062554834935,0.7970935764275252,0.6000419267064461,0.43328913119708906,0.38671241469692647,0.39295693142945354,0.3384226461378238,0.384815142151303,0.45105920792313614,0.6200133253898759,0.6970318057995374,0.5229241370132773,0.553042536969954,0.44310899619093297,0.4809645955588037,0.3446816942316787,0.3352824830744783,0.3699131837309858,0.48309502190994263,0.43831229030892027,0.48344355258388094,0.5186151609692685,0.5390444466921187,0.5966577214849234,0.4986299826749431,0.4936446288064679,0.43395226972321144,0.5694207365262695,0.6925722019743163,0.44275891279917423,0.42524054555693197,0.46599036949746603,0.8104617206192829,0.901497935321861,0.5885928531543113,0.46381118976101005,0.4461245199283138,0.3965904026289961,0.3723673133286405,0.393745093107159,0.37055347684270656,0.46097310063515673,0.6109299685293503,0.637766231868694,0.8605352816765842,1.4814380038846178,0.9608347804605737,0.6853917385041244,0.5082919533665986,0.5813522213483289,0.4198040390140035,0.48530363747173794,0.4013517677709791,0.38986694681493156,0.41397745516355156,0.4102908559680189,0.5257094771432822,0.7173984750044902,0.6959073047108413,1.1292159033584472,1.0060733174156828,0.9234003813238819,0.6227642480980657,0.4742275479548307,0.42450135869166006,0.4184495331321917,0.36819378492884647,0.4427350014032767,0.4348265737572157,0.5845228343911474,0.4119323879813137,0.4686575110817254,0.4369707432391021,0.42890593337905136,0.4744765354389857,0.5201707716620759,0.5325271992625324,0.7048740369526504,0.755701340499997,0.9238123963760905,1.339344476711775,1.1179563195612807,1.1842731855411635,0.9664405396652576,0.8871687230660756,0.8569925884720291,0.6540043931464639,0.6758918919871707,0.6407659863371099,0.7124554790125593,0.7236995719558778,0.8234598338443375,0.8157434849312628,0.8409927957151936,0.7729413746565544,0.8428673489972799,0.9901021648468928,1.0216809419256243,1.0471585763392226,1.1340228362839306,1.2353435057270143,1.233805278905788,1.289989315520617,1.4540900205941039,1.5255599257524028,1.5078349831178575,1.6467992868065857,1.506397090500981,1.6201674109978343,1.4000935520918507,1.3489921887173235,1.4418096150965356,1.4264256573400094,1.7737986912867294,1.6203503491717084,1.7539300555600235,1.2471642100848994,1.1914383286317054,1.1450932904165896,1.0865083725363067,1.2229801812589733,1.0530068526941045,0.9803648187694365,1.1449983982004226,1.2124898713821797,0.9814940245482331,0.9364158088495583,1.289497771207409,1.103645444320053,0.9419902731556757,0.8283661731757143,0.7635458891872623,0.7929988412981614,0.9361612767316855,0.9113032921420582,1.0354191607685042,0.9817292179138191,0.8994331975704885,1.0598781340022885,1.109055985142043,1.0331273629996605,1.0905688537433,1.2893960922257526,1.35899882563459,1.305280276477214,1.3920360694878888,1.5397532183341625,1.6390929760715152,1.5206367048373353,1.5511644901930757,1.4413797684996874,1.3250563536203297,1.1901603237362492,1.1941790178692282,1.316673012443308,1.1888562272747192,1.1172456000052438,1.2304372126969687,1.2304801226691218,1.0589251524085692,1.2000390061517716,1.4569707642503162,1.1869156835625747,1.1488334931173436,1.2537988413218566,1.4420277376169144,1.2571916847882332,1.2046340405543223,1.4067101360110783,1.3419425484229581,1.5529906404099898,1.1907298654634495,1.2126539809322152,1.3883839415549089,1.151812484183815,1.006733736101009,1.0529919961992478,1.0120639132160922,0.989881738044908,0.8204123215424471,0.7138719637143468,0.5943203737581703,0.8962848874599062,0.9874741669803688,1.0222686279108408,1.5215056740405248,1.3983181084960181,1.4547204979730646,1.995151414135046,2.3356041974893973,2.3860432217162293,3.0411188262161817,3.1540055069122537,4.265653060181044,4.387820489489483,5.232018697733701],[0.6308780040853547,0.7103449656894394,0.7332980770736737,0.551839200418604,0.6178600038294922,0.5360803579472346,0.43979921622799373,0.538424567944191,0.4859420219600531,0.3384237751484804,0.3561313050275952,0.46366103140869375,0.32535774051624006,0.3359157187695633,0.4178072429044027,0.3614782481607334,0.4109675724107051,0.45744462365591493,0.6238467444727469,0.5504781759847305,0.6156386086553892,0.6451725255497195,0.82888904382348,0.9070752941172036,0.7665840969577888,0.697664687556865,0.58425986411965,0.4462944413304204,0.422768675720347,0.40639247374097137,0.41470044628936964,0.4286068221207741,0.5063650094238068,0.43734318895440544,0.3835594592662142,0.39322476976792065,0.40930258919418655,0.41840470727785734,0.4203015684773891,0.46756655607831654,0.5054637144156839,0.5983557312590838,0.6264103018662421,0.8833922958289077,1.448179501588554,1.799852520147518,2.0184644399934837,1.185065661713276,1.103952460003361,1.2602651490475465,1.014846852099343,0.8948417215660169,0.7791238285030935,0.6157448092784855,0.9725733576347785,0.6362270362908242,0.6944898465011908,0.7680560274090017,0.7310608199739308,0.9351778178050346,0.8096091981702964,0.6740347676313582,0.5680254462032213,0.7410646316658858,0.7311210497196935,0.573307867763613,0.7900925631748622,0.6143714562422928,0.8415067408956163,0.7218540646102133,0.9031507358553859,1.1780198474417138,0.8291941766283201,1.0351191555354842,0.6222357923853911,1.468172220696572,0.5419208412219143,0.4772318682283138,0.44607569941354164,0.4660825285758786,0.44484796593803716,0.5472559272422753,0.8363777311449997,0.47656686465909465,0.534567803304196,0.43800265049285875,0.4400796355587332,0.5291278655877026,0.4039310236571706,0.47531803700800485,0.47114965235772277,0.6531746648139524,0.556643734829561,0.4625601883819386,0.43147764326152066,0.5699016434349408,0.5720157309418492,0.5109795096800429,0.5298700524887465,0.8216389367263051,0.5516105117274553,0.7937953147866045,0.4911229805251197,0.6261760369886081,0.6233639886336143,0.6385157440163063,0.881220562533188,0.6964145186873514,0.6777741124487541,0.8420371541643942,0.6605804158215018,0.4796531473559299,0.4170012816793785,0.4080037607698038,0.34321465012783986,0.4054172043296698,0.45305899683251377,0.6239288051525164,0.6863795927717548,0.5246275034702418,0.5450546668549335,0.4476267796208484,0.4944041395247557,0.36615085085888005,0.34316594593373495,0.4153217197467775,0.5339612851462416,0.467655548461208,0.5443997784967914,0.5608234666745243,0.5862963629587642,0.6502021222536408,0.549126671457341,0.5391914412910989,0.49419101557622197,0.5618941644619984,0.7431869906264456,0.4876711246624015,0.4691660048355564,0.49224322883383836,0.8008685757257348,0.8950302612531474,0.5921581509636524,0.48085180697596364,0.4514968146978845,0.39722998977746304,0.3808246215287587,0.40571380734727386,0.39539132807414196,0.47490201177008995,0.6205482410733668,0.6574286110874791,0.8906488517308281,1.4622481618253493,0.9714347369740124,0.717533298582236,0.541704792940562,0.6154281994818546,0.4358684056790147,0.5076253809095201,0.4295977822061859,0.39785444734362685,0.4400725555073222,0.4328565455788858,0.6013613407812651,0.7869727871055722,0.7458371475597364,1.1471121964577435,1.0636201043838833,0.9612479225078469,0.6852612086064452,0.5033317890495362,0.4662322660646736,0.44405004404628867,0.3880040913046081,0.4719665911460143,0.4476505569817835,0.6175551130991437,0.42439481567583426,0.4828894790338141,0.4838298683136548,0.4751097658097223,0.5066544058169422,0.5787664462760342,0.590751080943736,0.7384660707488993,0.7760819332548469,0.9446215267001244,1.3369097826072733,1.1488667491296092,1.2140080485541158,0.9481106503538537,0.9148028658647968,0.883392450921183,0.6986263732697722,0.7294316645969844,0.6832108472142312,0.7731955498234984,0.7871604952734832,0.8475616986373601,0.9002068367644933,0.9162224036771002,0.8322794127372445,0.9181659592586988,1.080557546771406,1.0821137372766603,1.0715374527192414,1.1983278483667634,1.3231475828576718,1.289228319233952,1.3432169164719563,1.5239069055352155,1.581274555422819,1.536506859598473,1.6879529200396286,1.5498385479801506,1.689538666351732,1.4949887922023317,1.4420069659295334,1.5486962257397767,1.559707663068115,1.941310649559416,1.7713789125523232,1.8657665683581899,1.3727765356182289,1.3388373224609762,1.2661477115238724,1.2249033934879392,1.380527205425141,1.1799544104082433,1.1058735090149603,1.2810911935650395,1.3315685915196487,1.0866883935225353,1.037592705348193,1.3949162808043956,1.1862526785662109,1.0124632951655228,0.9117222118499492,0.8477152862319027,0.8913180130013879,1.0317668528519828,1.0163333463878588,1.1449392340876823,1.0667988848467773,1.006666576171183,1.1513980020595331,1.1986653713638658,1.1260666825822367,1.1741978441431276,1.3830322201471994,1.4347481620446974,1.3835977724514836,1.4926678787063818,1.6344801393946107,1.7142246797730085,1.6051534370935407,1.6496061017647696,1.5449913928270076,1.4400776900010004,1.2938861289867778,1.3156891679079148,1.4465011817107103,1.2874240098345082,1.2262460733542344,1.3470986801153466,1.336942863474675,1.160988381324344,1.3210264869544104,1.5835574240505923,1.290634323017618,1.2356212920517022,1.3742189911180258,1.548213602312239,1.3619128327848387,1.2994215023792985,1.4963330633174319,1.4453424167574358,1.6639917833913773,1.2492990386374023,1.2723234871851048,1.4512068024223446,1.1867779281335795,1.0508666276517729,1.090479737683988,1.0243282870194315,1.0268706674886354,0.846433281128954,0.7670592004806439,0.687849518804979,0.9194859705449654,1.032023854111146,1.0858777354327471,1.5695650654770492,1.4207135205720443,1.50728347074151,2.0582549560559587,2.366210320425978,2.3492905771338473,3.081404829917345,3.221796053439003,4.246257252579613,4.388863946616777,5.148735405726756],[0.5695462327359857,0.6661171515595208,0.6873691447876215,0.5337768879634088,0.6299745382538946,0.5894114074800542,0.5118139376222699,0.6047834925642328,0.5633880388898708,0.43890523241430246,0.4625653788586579,0.5486989670995898,0.4354432983528851,0.42711956411137375,0.4946359417897043,0.4530838688882226,0.4578327447209239,0.4748088869889243,0.5848837052534952,0.5326056814667298,0.5744383982524447,0.5896887904463218,0.7406418895018659,0.8066744589992806,0.6845999090587787,0.6206272047567254,0.5160888388735434,0.4403264346512357,0.44980910398315793,0.46996052434437185,0.47570652398245544,0.5239764908506507,0.5858399710556879,0.5256029088965284,0.47971396826617735,0.4629213516462846,0.4965117576770829,0.46425807870719565,0.4150321913352326,0.45003868139001985,0.44625197931012855,0.517769894007086,0.5163409572253985,0.7524800594147597,1.3072907613704083,1.7039499489520287,1.9005866333169275,1.02642393339297,0.9823402460208699,1.1115919827729914,0.8739452035425144,0.7836815784656823,0.6942252848742921,0.5602788074778465,0.9919752095678533,0.5512981418459885,0.6376184959222668,0.6810054488408748,0.7183627112589613,0.8835614923527524,0.7637436444375089,0.6526020586001161,0.592883069939399,0.7200791384359821,0.6794202659025351,0.5690658043802151,0.7809867103102328,0.6180643509181124,0.8319357189353017,0.7313749546987536,0.9062548538166846,1.183454433879469,0.8314654546844589,0.9890354619398652,0.6519969262368187,1.4747439747635631,0.5607101505349599,0.5347567526179408,0.5122889955110772,0.5094195545016332,0.48380223863694377,0.5583674348862279,0.8824673905424671,0.5185867895354709,0.523002574166526,0.45314333329278983,0.46497448630481153,0.5997370736965888,0.4569336732672588,0.5436945517160106,0.5176804225542166,0.6845638031362163,0.6004735779659469,0.5336484298414169,0.5059024654097171,0.6295972205984101,0.6210116604112772,0.5848260898822655,0.604425944408836,0.8703626088343462,0.6370436696629679,0.862218477677136,0.5726183149385059,0.6885807772569532,0.6695465666912915,0.6659701564361695,0.8807682549314286,0.706322167661669,0.700246132068317,0.852116539458749,0.679874875862362,0.5199503470705297,0.4942613473572524,0.46094270836289697,0.4114887688761643,0.419105277780048,0.44940643968143074,0.5952830055171923,0.6326765387015719,0.5302814900519528,0.5365815818194068,0.4649708836398819,0.47556049675497036,0.39146660738473693,0.39952457313428236,0.44033743928155333,0.5618235950255434,0.5029081203976812,0.5744916376173888,0.5911729625830419,0.6207596183496694,0.6822315104191156,0.5687701926721084,0.5669157574681503,0.520782787481608,0.6400382073731854,0.7230225888438354,0.46699545500851064,0.45159645122484177,0.4830598903893686,0.7543283158863452,0.8123515587933845,0.5286942649572671,0.44463017974035274,0.42516249019416025,0.42115175310272146,0.3977392605545204,0.4728154854072918,0.4724154048250223,0.5540255421914385,0.6733829943633917,0.7141771130125018,0.924429348424638,1.4667723590560793,0.9810263332090351,0.7700561715266826,0.6194524388642962,0.6895214509585543,0.5263129871539511,0.5726671747986152,0.47142589160077597,0.4677994096572452,0.42269807746274685,0.40854522471901233,0.5569808361508531,0.7470401320896668,0.6707035554638434,1.033933901611411,0.9928465845331218,0.903300606435688,0.6236514696950854,0.4720625240450709,0.465645899272502,0.48191431015401753,0.43457158747295016,0.5332711885189434,0.5222757912964034,0.7033848439192106,0.47461206562567293,0.5470929456491137,0.4947746386282212,0.5224439922209738,0.5399825253511906,0.5690877497825076,0.5669450508935396,0.6739798442770856,0.7152300260337613,0.86363150234964,1.2475288309279513,1.0943492051129673,1.1092843456384298,0.9269418402182439,0.8909352681233683,0.8568707976616707,0.6764797857475009,0.6889906621636062,0.6598484799504625,0.7661592209833351,0.7630507035795592,0.8540341583795242,0.8775155352589694,0.9039034582526515,0.82405117668368,0.888452548099386,1.0663069580014826,1.0696668837055012,1.0596956350852635,1.1787427546217817,1.3062497824613561,1.2654934241193165,1.3178635248534203,1.5012342835349308,1.5580190591780205,1.501565205298034,1.657906026413702,1.5223370852610265,1.6859185470352396,1.4671619257899349,1.4099945747903755,1.5198624046679317,1.5285661595325095,1.875381484968178,1.7430386704803438,1.8786875205064089,1.339770214149736,1.3169846756741157,1.2544480637566964,1.2091721703962843,1.339616964390219,1.1513064926075198,1.0763462308491738,1.2126434039510756,1.2632071533458538,1.033193441763107,0.9785259469996159,1.293874959195063,1.0943918810845945,0.9577672883837695,0.8661382252052559,0.8280491171933717,0.877279062276681,1.0217779355748202,1.01943178767098,1.1540120363152349,1.0713372052467025,1.0053836972295602,1.1460546200280686,1.2170959179027734,1.1340627455682928,1.1771865507968833,1.3857478632127225,1.436329816043131,1.3847172136692223,1.4842534598677604,1.6182105425052713,1.6932382006380307,1.583716202565593,1.625649428274744,1.5215987849018344,1.420995465936138,1.280846726838366,1.2919164114235748,1.4280131222244872,1.2699364605038324,1.2074268185270693,1.3191923044189142,1.3133960713442896,1.1273444927551926,1.2738538546829414,1.5582278351547467,1.2549798978012878,1.1877806000450017,1.3184630768462466,1.4787963832408821,1.3091239085857647,1.2591131579734651,1.4159976580471325,1.3935457656133925,1.6265349109046678,1.197778803791588,1.2368111974563172,1.4153637107178738,1.114859419575944,1.012168165801618,1.071293272911956,0.9903072726660361,1.006061059695766,0.8881013240760548,0.7665299625746845,0.6679252532779506,0.9073164681304164,1.0617677656498297,1.1092780227462544,1.6447025435394247,1.4454080846782973,1.5030808638973396,2.070908548843784,2.357842515848828,2.3111608780424406,3.0495682228411662,3.2080810650408944,4.20564472111817,4.372607745565866,5.13119965283415],[0.7579176671086492,0.7960749220138407,0.796828920756211,0.6608958651846493,0.7477423356167426,0.7098818086509385,0.6500970456070344,0.8080588606117262,0.718440264541011,0.5903907443612787,0.6185470385991735,0.7299517560051242,0.609311460463519,0.5649836082322882,0.6212476744617126,0.5899233169905527,0.5306307699055116,0.5609653155272201,0.6522926984472673,0.6178211470067816,0.6310842188055563,0.6434855348919745,0.7947771767689504,0.8649591002696956,0.7143990589783855,0.6717354216085402,0.5915307274970077,0.5619381348127207,0.5497885999896667,0.6106905595932899,0.5917029194355832,0.7138286052200343,0.7708789813709804,0.707614840680822,0.6665297419900269,0.592742383228403,0.6643359020747962,0.6100077325506593,0.5586580769814025,0.5925272656600316,0.5328555767220253,0.5787380624451441,0.5826454296902006,0.7746359737175987,1.26469964598123,1.651806160208886,1.8353292484688504,0.9959855541358964,0.9644953531811844,1.0496662087929785,0.8468627097166689,0.7789511821881903,0.7183792773157041,0.6169466283001332,1.071619369395104,0.6429209544518019,0.7118055178423993,0.7625777013397264,0.8312710152338186,0.9277995862211733,0.7982892095503825,0.6826464069706489,0.6506983540876083,0.7629255473810134,0.7264379842867673,0.6279936145045848,0.825723371239755,0.6961028323740286,0.8674781857535986,0.7952677436103438,0.9731682094764166,1.2370176223039542,0.8996101732920236,1.0371183071314733,0.7148994752576816,1.3700247235145375,0.6555046755100421,0.6581504560718736,0.64678672697623,0.6396438609075219,0.6855495811109353,0.757102287295356,1.0829519145236495,0.7164121958429139,0.6499954541519924,0.6358505080084677,0.619198235375975,0.7798977781462304,0.5908083027273604,0.7302461227980124,0.6401661756019863,0.7314263066384981,0.6960277468434762,0.6878115900036443,0.6573701994342633,0.7491439135684924,0.7386044908078089,0.773152608598299,0.8016197597390631,1.0897877955660997,0.8494736852083179,1.0613694336287736,0.8150730879512404,0.9410631046751307,0.9192897887066465,0.9053628352628262,1.121080137625017,0.8609263971319475,0.870022226795589,0.9665866575584069,0.8680085830399749,0.7018491769613759,0.6564186362954162,0.5939970046976759,0.545684378366955,0.52948119672286,0.5883794555389187,0.624770789313873,0.6979391377370324,0.6460106343046971,0.6178375976360042,0.583365913150215,0.5645797831114663,0.518348596522945,0.530997532674245,0.5501383718029311,0.6963809627299886,0.6492334709327513,0.7391545785353951,0.7861380700127215,0.7779243040340059,0.870214221903392,0.7104487325009202,0.7443917622880656,0.6538200902883917,0.7629193280594398,0.7495939143050254,0.5347582355706443,0.5079907548945314,0.5354768980428747,0.7764388166486696,0.7984604043474333,0.5925619164627574,0.532312429118348,0.5269413287808487,0.5729138110482926,0.5405556648449388,0.6460354765895863,0.6518309854184888,0.7422094325440514,0.9063911872587225,0.9439121753759062,1.2276118678207062,1.8327700680609675,1.229734047464913,1.0506276924638465,0.8423630497131103,0.9284502250470124,0.746600114984226,0.7969479124739277,0.6334541499300504,0.6329481211997164,0.5246306811125654,0.5336460536751384,0.6491923457557597,0.7559145670526071,0.6333271729104729,0.9588799418922583,0.9467129657248615,0.8568142805454427,0.623830932783018,0.5394487232916165,0.5830880934250278,0.6201522008799727,0.620735452639181,0.7717738035656161,0.746216002539586,0.9543155930048802,0.6835796442267719,0.7678946686202411,0.6306705974493789,0.7188904050581225,0.7082390184555601,0.693662752048349,0.6357860624959178,0.6822743649624358,0.7497763246000504,0.8739161104997155,1.2230413038183796,1.0343180445901952,1.0659386286734933,0.9393835418448742,0.9075062908382672,0.900556209950837,0.7526779826248245,0.7564386989904371,0.7101223752422805,0.8784582203423791,0.8796294586767582,1.0348149995676055,1.053735606394053,1.132199328484115,1.0395172099751824,1.0481970775472806,1.2667649682105275,1.3006311125146446,1.2299030089054228,1.3276364785303216,1.5358628647719657,1.461808221029536,1.4633950614971525,1.6809432550819703,1.7734871414345965,1.643084227502206,1.7685373336316683,1.6149006602147875,1.8119092257970693,1.5460481179139194,1.507834587855369,1.6586570959038525,1.6548971220651831,1.9704308731840854,1.8773757149727874,2.059094121950641,1.4855035426237218,1.4724043282736,1.4680219301758233,1.354988250678778,1.4049630543954303,1.270850656582996,1.2158717319437238,1.2740551464459298,1.3155313938641668,1.123172073574702,1.0635136537363974,1.2924548721854354,1.1162882430777574,0.9876431174129799,0.9581643244059851,0.9835972255667994,1.0448998084135066,1.2430474584332112,1.2617220262126858,1.4084565974386316,1.362498488917537,1.2531031200192992,1.4428261842462113,1.557974057211817,1.4111948738700562,1.4569199172295357,1.7012538405083468,1.7697566214722777,1.6760895378157783,1.7696471870834543,1.942821439263115,1.9984910562352411,1.8509300618468003,1.902132263411615,1.7541809739247145,1.6680902415341348,1.5289655235033321,1.5074477534580644,1.6278323419941163,1.4474523636736147,1.3702116767329342,1.4459098344281094,1.4325982894385374,1.2313292036792411,1.355232089914558,1.583072317794619,1.3055342209285508,1.217167498092993,1.343989914673533,1.4886124643072982,1.3211565312631761,1.2917301512266584,1.4226705428007227,1.4060090961117389,1.6843353191605963,1.203961290408552,1.3080284397396675,1.48976831336029,1.1380497985000346,1.0788550311167835,1.0910270662355606,1.031652549295452,1.1129970554643802,1.0740422669230119,0.9252209256450796,0.8160904072059447,1.08228529918819,1.2940163846439419,1.3929373097489606,2.0559146292468995,1.6432266307859589,1.755165393399089,2.406290440524501,2.563909257851772,2.420132920430592,3.2234900300491494,3.4929415435039086,4.532707500440339,4.77247515725467,5.48456572443005],[0.8186844983630037,0.9031618924951625,0.9228084698358384,0.885598450994346,0.9460587163848583,0.9053612598277145,0.897079249362425,1.0715330400467153,0.9892319066761233,0.8678855948623697,0.9017651586206866,1.0099062533833958,0.8972604304039354,0.8199689041381293,0.8756128668216729,0.8719153434674423,0.7640698394626013,0.7572417796031751,0.7371087128015793,0.7431517979383788,0.7122812535991703,0.7198059043806464,0.7768944159741898,0.851774431173556,0.7220673228386597,0.6894140726428992,0.7139998904431639,0.7479431062902097,0.7672141716069454,0.8766675834337533,0.8554603708690817,0.9815636326408231,1.069245529707074,0.989145866543412,0.9494339429654466,0.847749581208055,0.9243738139940707,0.8563597675419751,0.8030381496347881,0.8240205170812864,0.7199417184055712,0.6766201429104206,0.689879338294345,0.7879383452656638,1.16737553099168,1.576534299199118,1.7387663494606247,0.9396825939071741,0.976027335401832,1.0378821849902566,0.9033429897304436,0.9102209178595863,0.9053566040059806,0.8010688058830295,1.1771980924849799,0.8163599749841786,0.8580893010408794,0.8827904506490819,1.0291367237287978,1.0970426706767606,0.9088511438048,0.8628086702984628,0.8659621884711202,0.9303691426637732,0.8331490159144813,0.8049598382924998,0.9257027348010116,0.8564154778507481,0.9153283033606038,0.8981619325102279,1.0064943553410037,1.3161099614719416,0.9881783187039481,1.0472633178411024,0.8844755551083631,1.3978456871354723,0.8517469281737649,0.9098974253307044,0.9163709535156168,0.8720195262494805,0.9423875282801918,1.0078815650536364,1.2753832624687091,1.0176954782064815,0.8665554834974702,0.8521499669906011,0.8447857224188446,1.062237009247235,0.8487037595787003,0.9860952599086734,0.9057064645827467,0.9807599995806019,0.9508077834506887,0.9718009260516506,0.9349084365980213,1.0137355245026283,0.9851749444680725,1.0529179075310116,1.0743210203556697,1.3262619649658347,1.139966202157341,1.3247203250235444,1.093607889505569,1.2063395969760402,1.184809248194806,1.1532540299982146,1.3467239026311388,1.078248879823551,1.0836287107657663,1.1233787564479016,1.0821791552040503,0.9433810712544053,0.9221898713393446,0.8246715012942102,0.7843359757720039,0.7043873594294734,0.7631286947056647,0.7051055891126515,0.770937940817201,0.7838860094299381,0.710233769185446,0.7295209144100679,0.653173731227208,0.6833632548679333,0.7388431766113869,0.7471936067698075,0.9016924052617301,0.9131730674057422,0.9789685535374202,1.0421012327651284,1.0393452233200708,1.1389469138306298,0.9644871240315378,0.9970768480464638,0.915433908315629,0.9970522752151031,0.8442851138175744,0.7089809868757863,0.6553625145689009,0.6811998559200009,0.8197661269541401,0.8012320210907466,0.6877724830234199,0.6815832887517461,0.7241822809593775,0.8148637696915054,0.783251658045053,0.9143705510573213,0.92965098946467,1.0040377314150741,1.1607628344001324,1.1845640162824855,1.443574204072666,2.093241120853257,1.4324310152265307,1.3056221052889467,1.1117546985372753,1.2008342868332071,1.0291254682472795,1.063908999760513,0.8907496729028593,0.9164552290376576,0.7478940808205162,0.7572005498565971,0.839407278535704,0.8531001588376345,0.7258734057534313,0.9136834404826008,0.9602749282045523,0.8683453588976864,0.7332441726434458,0.7142960907706828,0.8110508725560746,0.8773258756665989,0.8969583550767393,1.0572967828561364,1.0224452455529887,1.2077284207161587,0.9722681409819333,1.0576681115330033,0.8739246530909606,0.9817977637805833,0.9773633488024949,0.9500286804473731,0.8469889959053061,0.7837443950807028,0.8190747317122141,0.8957382208851407,1.223481587759823,1.0306602452099989,1.0794988574907889,1.0761141264457459,1.0621036792096403,1.070335306411748,0.9634173484000028,0.9326326620030974,0.8464453354856012,1.0403544037217916,1.0257597652982964,1.2340090056263284,1.1640364440657602,1.2525491217666085,1.194894843895157,1.1390625114698996,1.331507146380522,1.3790859388134682,1.3106192725359267,1.359959970988372,1.5710149320178253,1.4867696172951377,1.4667686559464284,1.6747329426765172,1.7656833681915127,1.6014799189944529,1.7400367727832489,1.5878361541435677,1.7748270881891424,1.514406877484976,1.494762491405894,1.6461355861363045,1.6405903296391078,1.945888368845388,1.836581935197472,2.0379188307932106,1.4883790470696436,1.5046316914972957,1.5365955099392499,1.4034353975936138,1.4072632462146037,1.3000441985082745,1.2742276588693906,1.2661970459950038,1.3109059519299895,1.1757182747026438,1.1409962788117138,1.2693448089867687,1.1292532033669493,1.023246823357185,1.043434082445447,1.1133603411962767,1.1623211109374063,1.3394790547209263,1.3630761756366943,1.495434155685594,1.4996311319390707,1.3675449284229144,1.5352254790437974,1.6831598315513823,1.5361990272239663,1.5428498793271617,1.76876603423704,1.8398996149401567,1.731869591104447,1.803334476074817,1.982973158682603,2.0193302131304574,1.856891663023681,1.9131935365243278,1.7587968381335124,1.6908750018597385,1.5752906419486112,1.5421619431802445,1.636657440515999,1.4669387124612352,1.400322234236679,1.4457670332744794,1.4331829282727828,1.2572362991877548,1.3455032354451666,1.5368081475282758,1.2944689299607997,1.2168354988331347,1.2969651310502757,1.439952918383374,1.2908621491733328,1.263626694784874,1.362670654287798,1.3637526183434758,1.668895992548505,1.1846650410320143,1.2933819199174745,1.4320418673306583,1.1172317920424741,1.1172020006508017,1.1184465999963085,1.1068735271116095,1.2238292196137046,1.3126380153489594,1.1185064930245843,0.9911506575741745,1.2471954202655064,1.4108918109355575,1.5199987472301866,2.276208851620205,1.7134558497359642,1.8171884276933428,2.52121300863072,2.6342582197598645,2.4194746397836533,3.2171539218168093,3.5470734733270017,4.628687324839782,4.93173640864462,5.711709120459545],[1.4462990072350532,1.3852729811719295,1.2910817195575763,1.1639022061838438,1.117656483005828,0.9343167605762556,0.849224048050285,1.0051706796258795,0.8710432896718832,0.7865854991164702,0.844407854943447,0.9118017544974515,0.7784383904368454,0.79625510096538,0.9031152256399266,0.8311331884132913,0.7754006880923974,0.8515311308265189,0.9383433421319768,0.8278761839090415,0.854410948059109,0.8273188034605624,0.9361302522881076,1.0072927040440682,0.8307158247373806,0.8353603038898928,0.7183555084442527,0.7148480487567488,0.7511270576856828,0.7872553164913504,0.9217628865764178,0.8876076404523812,1.0093696295675112,0.9650696020512776,0.8751381433519542,0.8288909323217969,0.8107170629446201,0.7673566963216203,0.7221287119159103,0.718792968846455,0.6763789266662833,0.734954083710362,0.7244144690324544,0.8398031691834363,1.3154429371977778,1.7199264240856897,1.8405477769626968,1.0162736747743706,1.0274246648614436,1.10178968483411,0.931335302956467,0.8833496013604926,0.8185155749329291,0.7340168149793668,1.167421753778809,0.7777285483337082,0.8429560970767102,0.8528220916703507,0.98920241970343,0.9767027366857873,0.9606484754857624,0.9168303014594947,0.9309521059434801,1.068218212377519,0.9417871093950417,0.8493924515983104,1.1504223249617347,1.0484699472982495,1.223254255409778,1.1952456221462076,1.3543391088465873,1.7436124653423442,1.375303767165372,1.4541140603100664,1.112123623466915,1.7942058696245535,0.9726368709673598,1.0067119646832818,0.8866386886643517,0.8554713789070173,0.8382998228341477,0.8606932911380822,1.1689668361191012,0.8940919485347092,0.7762321128627553,0.7567946601320497,0.7660043271677132,0.9251408586981609,0.8193928939396109,0.9732287137128524,0.997604029416624,1.1158368702157808,1.134209261234149,1.0615915691033104,0.9970260395435393,1.1486671698133955,1.077226687622236,0.9845773677367635,0.9673085746803866,1.2159617840951698,1.022285954829814,1.246429209762258,0.9896138591534699,1.1606371561593363,1.1935894135653333,1.1930475108800866,1.4501619525810183,1.3548712707779862,1.387323650010185,1.2226766708391172,1.2171573446968496,0.9619260319236286,0.869795932524936,0.7736045821253574,0.702229443811233,0.6512625339581306,0.6911399063872314,0.799238742544109,0.9354622547430621,0.8565124741802375,0.868596165535641,0.78229753552233,0.7217631616634389,0.6444242788108833,0.6712913573982702,0.7304969640375097,0.9398515172936147,1.0147891714627748,1.1492891445918998,1.1608005416878993,1.30295538997365,1.4185425385069497,1.2295087510390954,1.1385304909202085,1.083430003704911,1.148880396963305,1.0221501921626155,0.8297300701647372,0.7408285339098529,0.6989874219338674,0.8918451852969586,0.9005662774338747,0.7501326137516979,0.6682860194045426,0.6716752583664789,0.7162585383695348,0.6911463285096677,0.7951668878473197,0.8370022940627297,0.8974190638213866,1.1256517905902264,1.0920458969747202,1.3883293615045358,1.9553698054297068,1.2908556636522337,1.1900513743689531,0.9836968097325035,1.112453986274343,0.9035137618135941,1.0044271604615846,0.8359028133665711,0.8100242800397836,0.6887715619959268,0.6860708587081952,0.7881737988286983,0.8646583050433353,0.8595298750890453,1.1187204089355116,1.2282231681822025,1.0631252774435431,0.886016237734308,0.7986204698309962,0.7975397852588113,0.8463959183704195,0.8179979471900217,0.9739841466476942,0.9076888204770837,1.1209499146356947,0.8754691043048421,1.0072527663469697,0.8539288853332702,0.9993868623102053,1.0528602739655766,1.0507509244509272,0.9115309363476543,0.7758917868799095,0.7738068876933993,0.901816187044906,1.3150324315167812,0.9838554409614112,1.0790514810419205,1.250932957154057,1.2809901467456306,1.3395286003811597,1.306952170897708,1.3634127629898123,1.3016728163407967,1.5347704047949906,1.59879426016716,1.6661351076165782,1.8314431927320378,1.8284105464108817,1.6824589691893819,1.8286077233783327,2.083611441182225,2.015910293102543,1.9949167289494993,2.1660625557863566,2.3388629143301807,2.169188216617446,2.2533030042004825,2.5239674450805363,2.4810604071511095,2.343275822480977,2.5843536260628457,2.487922185726409,2.6619688067982525,2.506447952653957,2.4077177416601887,2.61731011631985,2.6315357179946783,2.8315126038093514,2.8533690337061497,2.9979414877395176,2.448859130304073,2.418847795939335,2.372001699870023,2.264031023516143,2.2629323724488692,2.147491557608349,2.060310638864745,2.105564085778016,2.1169658270822933,1.9489826297268837,1.8898581948818096,2.051746801666213,1.9165630940548468,1.6772667406763677,1.757163371911173,1.6788046830951173,1.8200411604034155,2.0525774249642117,1.9783796843245947,2.1482080698370623,1.9761651182629765,1.9195344637430207,2.2392610296067543,2.2230525296835024,1.9714491777067789,2.1770604384171537,2.411955649187589,2.4080945685811472,2.3579277916749315,2.565863651771557,2.6845411808811153,2.6661789346842535,2.6754199734456345,2.7971979391536146,2.675249267236707,2.596846194021044,2.4116648062663977,2.4599310556765706,2.6100888665223465,2.3625106386761594,2.2798175496307973,2.4045269985117357,2.367341395517441,2.120335013457316,2.287437000239159,2.4189099739660667,2.1761213530228156,2.060578694082278,2.2091850404590865,2.2460477562307424,2.0957882385206825,2.0663191472869897,2.0881027215227825,2.0407748492158606,2.5623572872455185,2.0089388390532825,2.1677435725403766,2.1959755864153117,1.887479595715649,1.8279115224494331,1.7319731245140753,1.7077132853822807,1.942851377622877,1.7618358200574604,1.5511851707951418,1.2059412861966026,1.5693925602131364,1.7833694304126106,1.9813719283258935,2.57307631042526,2.01494816729514,2.2559881482323996,2.80538318632844,2.7307641040686645,2.6122109963793303,3.4853530345940276,3.6876508261351324,4.716154333976024,4.942595756883681,5.6610901094519],[1.5496195035723026,1.4923104246989538,1.5039046387564565,1.203843215210464,1.374654334256938,1.2845957697981327,1.232431860615685,1.446178845737835,1.3009836097492613,1.1601816184023477,1.1943017340614914,1.331479860625124,1.218152027646266,1.1031297624747485,1.1549842273049509,1.1650073963003713,1.0711362422967747,1.0560690074959729,1.0471366817080485,1.037508536193126,0.9974419197373373,1.004893575807455,1.0376230711336336,1.019157576629661,0.9760826752485765,0.9655811294499979,0.9990245069430066,1.0407062812624126,1.0773658497302885,1.2094554084807063,1.1549988586811022,1.308836456217466,1.3875349301519362,1.3209319219025295,1.3039322236504467,1.1905186616452672,1.2848956291491167,1.1936282718384994,1.1651372612006545,1.195490513211535,1.055484688806213,0.9961274136308523,1.0253099251348445,1.0200224834053218,1.3394967112007128,1.749682804334381,1.855299484263285,1.1052950790143994,1.2245194826106913,1.2007120597940717,1.15198521653163,1.1977698700931387,1.2036185120068525,1.1746495152175023,1.4868422807583115,1.1908278743382184,1.1838003812918814,1.2068707112156807,1.3514659350665446,1.3306303092391503,1.181452109112399,1.1003924534538747,1.156311599159431,1.144817890427804,1.107553113668506,1.0721496407040645,1.195550319903229,1.142738597386634,1.126144499806345,1.1741172363191743,1.2171884378072815,1.5361323401251061,1.249495811603199,1.2851642082382686,1.1576190695738304,1.5987655972418564,1.147894161348481,1.2367378403037372,1.2395520138734173,1.217245255771837,1.2973777743434516,1.3374551841630669,1.5809067310616403,1.4163180489328817,1.2601507422338705,1.2194133534454494,1.1889068521281339,1.409091636826815,1.1955910750170644,1.332206107273035,1.2144968543733567,1.2221192488685348,1.2507131429812641,1.2900380886185607,1.244660544821347,1.31705211945807,1.265069728503221,1.3610855294876736,1.400432292820383,1.648233439559948,1.5188912932079974,1.7648164534089021,1.5114467210418134,1.651345161150175,1.6656582322375328,1.604179990748689,1.8153205792666218,1.6354462054138907,1.639882502883928,1.5457256040392147,1.5425383937356814,1.3573880579217223,1.305041748234856,1.1600130524447996,1.083160556791082,1.0008484098779644,1.0130301836718287,0.981830376667632,1.0313895833960047,1.0376045541036492,1.0027238647217744,1.0032982491183793,0.9328407267105884,0.9614298962278925,1.0299442902334786,1.0755466097885205,1.2640705579696188,1.3409003773899186,1.4327113924242882,1.4786434724950077,1.4986329279485189,1.648384050642482,1.4445876852536632,1.4620789078057244,1.3316607768289699,1.3784098694315627,1.1762650810769653,1.0382870730951914,0.9658029735029234,0.9952096803488106,1.0342438937686205,1.0380793595463422,0.9948725139464092,0.9810937409415466,1.0374945294161764,1.1375638417802152,1.0998816355947019,1.2449763675307128,1.3030991332856876,1.3521188516040827,1.5828531542908637,1.5533478896223454,1.839526998234739,2.2677831566164897,1.7207016515112497,1.6711941365322807,1.4802111604062171,1.614543926850844,1.4081081553589694,1.4674138831932109,1.2638090818449637,1.2697596593324658,1.0786325823971417,1.1175219624068553,1.1746272705217795,1.2179077617373955,1.0841817629067245,1.169541461648681,1.269781916116917,1.1468466567196416,1.0848389539409569,1.0592780616061241,1.1591477830447574,1.2507299104848175,1.2985165414358426,1.4792782701145728,1.401373637236239,1.6089840501645065,1.3836025043936948,1.5067847376247212,1.2740767271456086,1.4160056408322532,1.4329638979606958,1.3960342872373968,1.2242203004424843,1.0992191326419838,1.090359980173315,1.2041418149099576,1.3666723172587651,1.2696051978341871,1.2975990588828297,1.3578474199837944,1.4147099688964855,1.4588708609862933,1.4423341274983175,1.4282482762924884,1.3385736848091636,1.5277920298526129,1.538036306437377,1.7341670728503293,1.7676393148909573,1.8703628830357155,1.756896408459834,1.7071407017716016,1.9789562889788894,2.005423532639334,1.8130018427021999,1.9400344921082155,2.239074008037558,2.074814518721528,2.0257142650178426,2.2965661867359537,2.389742902901612,2.1420631714427527,2.230665674202633,2.0562488753071007,2.2838880586825097,2.003747340806077,2.0177986057589883,2.2381925055833722,2.2338055847453036,2.372869253418113,2.471409599069521,2.6863233885338893,2.198972381933623,2.193890680756519,2.2384688914038047,2.0911966948379663,2.030368258853018,1.9329760652164603,1.9179213273819746,1.8899590092319474,1.8803986046853236,1.7713379483651133,1.7232965864084135,1.7625910017687534,1.6404446933613754,1.4974316648582637,1.5837860656113392,1.7074795120736146,1.7777244688214442,2.0149903369102913,2.0494679480000264,2.2204143972002597,2.116881336134738,1.9956481411982845,2.279754423406066,2.3619785321193825,2.10541319549878,2.2208499045739205,2.4810540367841822,2.5386867932992314,2.4049535464550535,2.519527279510425,2.701151496469883,2.6835327309059576,2.5640752450586546,2.6457181895178246,2.4771952789616702,2.4286545230307928,2.3089573774977024,2.280922064095146,2.344866861944131,2.1398519611495295,2.062574614292219,2.097043094146287,2.0401710838060105,1.8385281333671375,1.9411409845526346,1.9684719348589668,1.770934553365377,1.7051898245283321,1.8304441193790273,1.8371662727696987,1.6838213221105267,1.6734723335273367,1.713772861057907,1.6370612069960664,2.115944083402938,1.5375016028417408,1.7595421838283989,1.8858959955427128,1.5197989106298313,1.5184594261088031,1.4172505113964362,1.472682469487141,1.7178625112466732,1.7978525821324558,1.5859852208573617,1.3606236093786641,1.7257236954739037,1.9758969525349508,2.169628966307321,2.8184515815283766,2.264214304561766,2.4012328909593275,2.9830222234834736,2.9774652942922555,2.706885692561541,3.525115384795223,3.8177336711836167,4.8228390406673975,4.981796916797668,5.703569366833216],[1.5209655853579116,1.4045469240665527,1.437034750105254,1.1242014064445296,1.2886830065417951,1.2594020532291008,1.1886195678033185,1.3743729497068475,1.2337177547823603,1.0807894175414174,1.098645397681025,1.2235695095580574,1.1167372184206994,1.0067540695816175,1.0440856369655807,1.0619923699353062,0.9703567591592767,0.9435231643301374,0.9237716868057096,0.9188611025848793,0.8684273154667805,0.8768005013752337,0.9067889754836713,0.9277074834278317,0.8345814807667378,0.8213037520339911,0.877640108355071,0.9318414772157925,0.9683603347355348,1.096322526327889,1.0536789140136391,1.1972613233106808,1.2685619796996137,1.1994897120358219,1.1795314305786198,1.0665303921981826,1.171682102201567,1.0716577302088044,1.0340314792110472,1.0699446991017147,0.9420605311726507,0.8789708918164755,0.8856773384921668,0.8823436002266659,1.2474021078343591,1.6658193896328546,1.8347227716230343,1.008363778148524,1.0705100031571746,1.1269381008399821,1.0621096757984327,1.0363797688630736,1.0627432215967383,1.0198662379874837,1.3475867395133907,1.0305111184478333,1.0443291232928262,1.0321176576205284,1.1764012320431543,1.1879855666472292,1.050323986543486,0.9860929666519915,1.0502876997971862,1.0291558586450027,0.9997654752411618,0.9697798601994487,1.060485752935143,1.0353814275934812,1.1031340807529717,1.0774703437976625,1.1765184197801937,1.4565321346269644,1.1440334083067587,1.2257721022048196,1.0444029195061741,1.5645048121560654,1.0424312710756747,1.1151660279537052,1.1167906370840464,1.079268476123372,1.1583411923034144,1.201053226196576,1.4646756105331549,1.2645639714832586,1.1313567897754422,1.1066137554150972,1.0736529710059222,1.2891245369398692,1.0572142288817585,1.208584838087461,1.0993896731749355,1.107737152657723,1.1301911450009494,1.1685028195306224,1.1293668019174634,1.2047255161484376,1.1728348868380685,1.258789708214206,1.2970953385337134,1.5578516011142645,1.4118409492817459,1.648989160240275,1.3934774069708424,1.5572733000565258,1.5635296758504456,1.5271191660183463,1.763232912682543,1.5259689764802706,1.5320728186147143,1.4982795341542998,1.4646172353254348,1.2691750295125575,1.222601038900238,1.077260066448541,1.0014724011719394,0.915569728310512,0.9145891011607802,0.8942624469390906,0.9352684930802194,0.9262363803587949,0.8959069863780355,0.9088704629584399,0.8655906145824689,0.8804666738396575,0.9605762103205616,1.0002081891964492,1.2452407254950157,1.233419762117136,1.3492176385197716,1.3943949816023453,1.4075245944975612,1.5705070607276825,1.3515903083150165,1.3772330403881412,1.2220810738992358,1.2738066625380478,1.086782426368825,0.9453789981838552,0.8822752616827632,0.9027447186583436,0.9368688606043363,0.9689334848954834,0.8805176625831914,0.8778526004949855,0.9382916253688811,1.0179356052105781,0.9960192795172679,1.150138023470102,1.209956182444283,1.2736192163332325,1.4802525002227749,1.4754671813140714,1.7358727133496428,2.1239092456732287,1.6361071173563289,1.576609498195724,1.3929403426178095,1.5069286286435286,1.303959879970799,1.3655783121363205,1.1715381570558956,1.171847866161718,0.9985518445968312,1.0275477130898159,1.061691910166639,1.1316135851134388,0.9753553954469055,1.0978961899203217,1.1733220333454386,1.0386892920990676,0.9805589680914512,0.9609763991758987,1.06019316362039,1.1546048863617,1.1790193409321663,1.371624887525476,1.2868458799690146,1.481533797039608,1.2623717815620394,1.3780590222756894,1.1662664795332904,1.3092379615851617,1.3225175544646648,1.2823651178785955,1.1483405886334943,1.0381664294411816,1.028405608423864,1.1366517399015408,1.3213226756780485,1.2428980016692197,1.2321753369697457,1.2597108347458645,1.3319224976701913,1.362163944265175,1.341563399736187,1.3340963311252614,1.2494017776149016,1.4685392563407742,1.482759392161936,1.6813151532669854,1.6906674418380379,1.7788768156502175,1.6858289887789208,1.6516959427183777,1.9033013784289745,1.9336984458383608,1.776366892613183,1.8981094243663095,2.163191431227291,2.039316552222795,1.99615921004658,2.2589228213792762,2.353244710665514,2.148089335374884,2.23435724206795,2.084440707868038,2.236152065460761,1.9878110503162518,1.9871120071007307,2.1975157270865977,2.202959216903943,2.421089581713936,2.3847761195324417,2.476299438703712,2.0851956140755017,2.090024876365643,2.1370340091672504,1.9859765308717368,1.9615847299009674,1.858511581437816,1.8361529353854933,1.804415613283452,1.8087963517596326,1.6857701540253545,1.6130035039290342,1.781224317383906,1.5690759502543283,1.4182260706030516,1.522369654539514,1.5774632573786385,1.6907203410051082,1.9051639558886333,1.9028090618423865,2.111991283337285,1.9803328191330352,1.8710691277687144,2.1398687747703433,2.220730616581313,2.023924364898432,2.116894374865357,2.363351260584832,2.416231551972807,2.3160379758984977,2.4169311190970024,2.59116361265381,2.6128402122455845,2.4739328263474842,2.545041049717256,2.3815500592209333,2.3163956179323097,2.194450477596968,2.172625289507912,2.259733730597575,2.0624682844050026,1.976989016898951,2.0304226224418103,1.987414248117918,1.7778757280003774,1.892208667230248,1.9967079524048825,1.7385461107891584,1.6795316680724237,1.767052591159632,1.8223611434277318,1.663199709648113,1.6546585943674945,1.6371765295526803,1.6259250190603225,2.041345528679877,1.5483133559086524,1.7910030773745507,1.9763247429138542,1.561460458776599,1.5108260961759943,1.3517609429622175,1.3972822898016986,1.6627929367628542,1.7277554037095504,1.5515101850213688,1.3214557972669767,1.7060337919168702,1.8237279179523278,2.0129025977143806,2.568017130674333,2.1593136116216503,2.3048063992813304,2.8564973921974848,2.9573740108386635,2.71134841833003,3.562970750576556,3.8335349957637557,4.747300135600003,4.865242563885428,5.547723137852685],[1.6836648998441566,1.549278215619661,1.6319875967207929,1.307356040942759,1.457478518302953,1.4413180924371738,1.3756489713349405,1.5209020223774001,1.4061396538216446,1.2773081307411953,1.2880882435529903,1.3741979325536484,1.3152928958381158,1.2271099270546448,1.231732327424521,1.2507907809676482,1.2013718491800403,1.195395077797392,1.2199233646393048,1.2036950456171591,1.121604836396355,1.1498399098597558,1.2156566469563017,1.1912791243726129,1.1424283296013218,1.1239420190644633,1.1742393643796365,1.2003861338072057,1.220921247257461,1.303817523906065,1.24803773960241,1.3600682442863459,1.388552269406604,1.3477342466616011,1.3570712403123872,1.286157093286064,1.362470925594743,1.2995960475819337,1.2730502988419465,1.3482368637167605,1.2241670902670978,1.1818254288097216,1.2032084152243212,1.178894889626608,1.4744626267226977,1.8668482479857698,2.0216940166089943,1.2653605633480765,1.32228435549208,1.3978104153632729,1.3356635649326807,1.2460380345841247,1.2465208102676595,1.2795419489808748,1.5840660499163968,1.3041320223912347,1.322971954512245,1.2862998903251095,1.3400808237429283,1.4046164538571175,1.3110440578998601,1.1949079628767922,1.1922303260064715,1.1622572238215363,1.2748704667428041,1.1829817513572614,1.2347413266629352,1.2554257592016638,1.280710729106962,1.3073677373732182,1.3676015184863022,1.5819370242579949,1.3460338911571366,1.41766830265107,1.244636311277293,1.550404623613501,1.260575552050149,1.2978921349755097,1.2971871663370529,1.2937945034303797,1.3847605279203024,1.462299292211517,1.6484322892821552,1.4512545920602973,1.421564376128503,1.3848551053224911,1.3383525376754657,1.4449648821807481,1.2689087009716329,1.383988805313723,1.286100792608992,1.1748998596822673,1.2597086458754307,1.3097438217545905,1.290745684980278,1.3299367679167182,1.3197475552652327,1.3919927142461368,1.432496290090365,1.6531768201147095,1.5352883455843889,1.7568651302606217,1.55062215875479,1.7184498754468251,1.7412612949332835,1.7373575290707508,1.97903865975913,1.6630832264184439,1.6664484286859131,1.7158502403541867,1.670598507850662,1.481810388587962,1.4048623574946895,1.3128391429833002,1.246467809625543,1.188746790006578,1.1899294663881936,1.1702534934487732,1.2383151462950068,1.178378424510851,1.189593293708943,1.1680361741026488,1.137009642989269,1.1529973435431513,1.213956512156102,1.2679329670530157,1.557170110044443,1.4078607435558874,1.5446304987325736,1.5938964715326933,1.577204998969321,1.7271813388183903,1.5320451446020402,1.5955534213465414,1.4051524332004222,1.4025291286955546,1.3017976278519943,1.2133802565577385,1.1621184506227094,1.185131202502566,1.1577575631700683,1.1745250023260272,1.169722965070462,1.1725713605861583,1.218696612158994,1.2598864293673246,1.2465060126117617,1.3595019915530446,1.395244541476831,1.4450447464976148,1.6073471308756078,1.5887341848281291,1.8100776381530368,2.0850643896768744,1.7483613383716314,1.6814989008653953,1.5253886638444818,1.6242132659922435,1.4568504333372958,1.5478701599194187,1.3922187619349828,1.3788131014040155,1.2636389254100588,1.2997387966343763,1.3352008064279621,1.4210572919238953,1.17868264851885,1.220062046845359,1.3123195564276346,1.1737726774540151,1.215377097054388,1.2360311339317893,1.3185314615372943,1.3860768839954647,1.4026077026441799,1.57550142083463,1.4776161375521046,1.6592796837745076,1.473884628447925,1.5624153804422072,1.4214448652259815,1.52603392053375,1.526453012158464,1.4678023204304937,1.390688106791132,1.3632839215413404,1.394372880250832,1.491310628151108,1.5135274432836148,1.4643744108016392,1.4229993230658415,1.428748651721288,1.4818462033726472,1.4982861233028908,1.5096490593051615,1.5199925688483205,1.4373535292227706,1.6666447573004415,1.672921024903189,1.845203736830132,1.8546862722828317,1.9304733958134057,1.8486530460348858,1.832428509685525,2.0438251341711995,2.0574899439337084,1.9183870314030946,2.0547321118166995,2.2637545019324667,2.1616788428147373,2.1405671555294004,2.3796089021700104,2.445481005418955,2.266120677455211,2.3749463304557232,2.2474268884829667,2.365680183915494,2.1585673403639527,2.155791609682809,2.341826848473026,2.3456746512348587,2.550387541913737,2.508910721134029,2.5530049704579643,2.224477699144966,2.2266317179897395,2.243386422123126,2.1367418720851967,2.1225943054355203,2.024345821976286,1.9831387051206262,1.9782491234355875,1.9652509239864,1.85555462538884,1.8085305074822995,2.018137447846232,1.769636727121475,1.6366306974663438,1.7210837099148073,1.7426576460454568,1.8499250472269513,2.024497037901907,2.0045210010740644,2.2172052810580367,2.061387194800651,1.9863808962471627,2.2194551006017056,2.274947718024682,2.1275750371589126,2.2094015240478964,2.420869627390121,2.4659351184573586,2.391735129288285,2.4782276314387524,2.623727819745261,2.6594372439092004,2.5398134804584553,2.6005398774033965,2.4619218240614544,2.39617318876649,2.2865420591972043,2.279339043306656,2.3724584374527597,2.1942071265621053,2.1167334349107714,2.1844599563577987,2.1473092851066418,1.9598243627205532,2.069828339051955,2.192805589696748,1.9262372757879562,1.8800097448233428,1.971844402337593,2.0243305162523337,1.8644024793682088,1.858024997689627,1.8236087660799158,1.8118189456774227,2.1992149282195816,1.7691828819218918,1.9832731771639451,2.1596252286437667,1.7652019040046734,1.697166436080319,1.5334016399182366,1.5569850170578816,1.8086213718689366,1.83708632478056,1.7296766827008836,1.5654706337218294,1.8795207459655854,1.9246234741880819,2.081528950785414,2.4890107049744508,2.2156046458359624,2.3669995237801147,2.8420686764216434,2.958344315582368,2.7507567360959633,3.603606054982097,3.8472535615205374,4.665670010090865,4.772235854017187,5.40660519012122],[1.2014935473358057,1.11805313637987,0.9681531750229986,0.7949245379919679,0.9183460502587466,0.9493931242608411,0.8682317881867659,1.0282517301074956,0.8959450831625098,0.7251308401517861,0.7503588642934279,0.874515497596583,0.7628091985490341,0.6583681361201358,0.7274734155965208,0.7354311503169972,0.6267051556603895,0.6062708693465063,0.6199632287273205,0.6063537183915326,0.6061150404166085,0.6268296256802864,0.7171960325564789,0.789419258147454,0.684192074891597,0.620985456875435,0.5838022507500424,0.5823527685967818,0.6397560428305753,0.7449799718710016,0.7128063378787282,0.8415003316879477,0.9239380493357056,0.8246428585547746,0.8084257079439386,0.6929707328361377,0.8004025453190046,0.6895912385825648,0.6664071932297578,0.6993328659015529,0.5923675405751014,0.5980660833912059,0.5895262269233964,0.7325902517831729,1.2216999756593316,1.6463578468547295,1.8209073949555747,0.9508363869056978,0.9507076189564861,1.0804226110567774,0.9149029001036424,0.8217392803297053,0.783528546431209,0.7247222013702654,1.1634350215881417,0.7084246365435568,0.7781924604105821,0.7206485011390467,0.8415696778046917,0.9630255360280398,0.8073447485916775,0.7846653562477836,0.7940830710935218,0.776569374130648,0.658996411844721,0.684350335699355,0.8010091638862574,0.6883570247288342,0.8349353000188099,0.7743212311381321,0.9141403147936726,1.1720386777700649,0.8504426182603608,0.9794559498209502,0.724540118017101,1.4085033069870223,0.6870022884574021,0.7560777847150562,0.7596675062117557,0.6967253182077374,0.7515200533375658,0.8247498320685289,1.11758541093338,0.8814285651725821,0.7485535516542088,0.7357703353681503,0.6997082476067669,0.900505121879371,0.6653785183413748,0.8285571546457647,0.7193047052291339,0.7975305970090163,0.7871783429271996,0.8040819155826849,0.7705845279799618,0.8484770689283365,0.8225835836341336,0.9280001963922518,0.9853876413328015,1.2695719866653832,1.0593702665611597,1.2971336226704056,1.0346263314701796,1.1696904842576108,1.1311064817351475,1.1184639551225304,1.3449491407023013,1.1753009387848978,1.173241801341201,1.2163320969606684,1.1030042627404069,0.9013031549350454,0.8676407435318509,0.7307146611254596,0.6654507366246747,0.5743676911890894,0.5962528913488644,0.6252640834167773,0.6405011969050673,0.6179986129822961,0.584094405383542,0.5793701296388114,0.5618021776836861,0.5593174755002016,0.6384086192393631,0.6469662559695413,0.8543995885907009,0.8772018213787881,0.9627188111867431,0.9947990826551197,0.9913039199753632,1.1110108889766384,0.9503536128635947,0.9558627527082074,0.8556366309024872,0.9694439091721435,0.8793738065738317,0.6426974843734224,0.5957826690751206,0.6078114729154674,0.7536494221120402,0.8042979964851006,0.5937780874554267,0.567951205989914,0.5946901423941069,0.647064494061826,0.636293662531276,0.7743643671634163,0.8367541084816092,0.9335784563277181,1.1218138371331279,1.1492489940667423,1.4122611501643976,1.821238809933466,1.3930583308266247,1.2433282342558118,1.0422715718886975,1.1498222975407286,0.9238936346946535,0.987469781940686,0.7870385849172069,0.788456124345953,0.6339918496120078,0.6519186660328253,0.7609660641461874,0.8803189919545522,0.7691136021265335,1.027942932381255,1.0888772840091516,0.9471771515713258,0.7697453509377161,0.656064476996331,0.7085837017062897,0.7705192983009498,0.7774823522478566,0.9656607680145484,0.9133667882169548,1.0982688080649015,0.8663899842257762,0.9861555123566392,0.759768830859697,0.9113146406165351,0.8994450755599698,0.9070624233901677,0.8067794665877123,0.7609313005034127,0.7544632939308995,0.9166005166827329,1.2454292569524452,1.0654295469329387,1.1677099588752344,1.1278372293092527,1.099943482044247,1.1029328203655209,0.9915153731873316,0.9940370940041757,0.9394784470653104,1.0922250356769994,1.101578083289215,1.2564811297711047,1.3141673186564984,1.4054854622963553,1.297454213382447,1.3050392566804483,1.5531842754051457,1.5822911143837608,1.4557593642670186,1.594630559815247,1.8252135346816964,1.7454315841269776,1.739787615813751,1.9650895507767678,2.064461845612274,1.9549632114249342,2.0195196105502626,1.8485063258037342,2.050079297784501,1.7498946291308817,1.7488227121367588,1.9201764064964604,1.9010157563757224,2.2457155179111026,2.112278619614846,2.2959644221635505,1.7725371133534196,1.7648592689677425,1.7432558541055334,1.6488567620884516,1.6629485341480557,1.5474223233839186,1.4772246144244765,1.5205512444534577,1.520238581599323,1.3570269632580485,1.2911693072853883,1.4968159420193496,1.2859653408210274,1.1508074867747498,1.1840154022667382,1.232567421962704,1.3077266564652055,1.5097241091761395,1.5063102675963493,1.7011510816914717,1.566400086785602,1.485885002802241,1.7358953377025435,1.8005743238846048,1.6342817759168538,1.7413933282696896,1.9766414533137342,2.0363450711651567,1.9541134571350085,2.0480666135658114,2.1981377637369817,2.2547662113999802,2.1444458745746804,2.1882102238501484,2.0473182503159433,1.969528764127401,1.8351770080625789,1.8052921038225604,1.91404066655609,1.7361035867765817,1.6422949432696894,1.7148393772907486,1.691679889945743,1.4844509578517926,1.6121845447199368,1.7756500572546277,1.5046234366982856,1.4119056652794293,1.5487850571362967,1.6561603078834641,1.481123153184694,1.4583794181595258,1.5074192250415945,1.499173874267358,1.832710329692601,1.3745430940769978,1.5325077380384964,1.7612115046490258,1.3623522921584563,1.2855475675931796,1.1950363441196512,1.1668211835505569,1.328023102360885,1.2861668833578501,1.1362832073962164,0.9674032544664458,1.290151648539049,1.5205794974203108,1.6547705629925793,2.2017193733332023,1.9171064203620976,2.0550562287089242,2.5968527135764665,2.7386905986478656,2.6389912400957156,3.476609968421558,3.5988388020183426,4.609028280317802,4.773540476282912,5.4561942113928525],[1.4717891862737986,1.4050169742880905,1.3195963878997703,0.98243712802896,1.1134891145580588,1.1788616031758614,1.0492890335175256,1.1890166359391825,1.0512356453232319,0.8724442308730428,0.8704071779399911,1.0369762381027388,0.8956218055293038,0.7616532687670146,0.8268791760450374,0.8723301629190017,0.742407648887256,0.6896691276738172,0.6542939551856993,0.6510134647494031,0.6515748243183976,0.6559254159887677,0.7355353527210238,0.7926155549653741,0.7300355934313566,0.6535775796977433,0.6067594646199874,0.6520830253221589,0.7517704710628089,0.8582663812507889,0.813055574412363,0.9636787949876336,1.0450415265881028,0.9244258913075135,0.9077245375472199,0.7842340614958409,0.9221917941249812,0.7769137165050846,0.7630833048772626,0.8002747740023181,0.6568428058935663,0.6135899592017906,0.6191417873175739,0.7581377651884295,1.2236278842078803,1.6334206501685502,1.831138293353182,0.9695395253241997,0.9486460658653155,1.1226862402691018,0.9569409330056573,0.8880066605180383,0.8525429145852087,0.7702268405948961,1.1296255052046345,0.771330220550041,0.8696941173922477,0.7557795867878928,0.8550061750560543,1.0775678066987058,0.8879700115770767,0.887064421559671,0.8257146719428,0.8395763019187664,0.7168036498961149,0.7642388355021495,0.847457276585391,0.7237773099289543,0.8401258293947853,0.7987069547049195,0.914483999723727,1.1637926462318882,0.8665906159969189,0.9948938184461553,0.7937718163803809,1.4758275412587905,0.7582993590135786,0.8241013877639105,0.843333716172682,0.7724420801965116,0.834587980936319,0.9157249663135306,1.1756366882931581,0.9962253269427417,0.8455068860260085,0.8462079353877731,0.7679860582129704,0.9818377158953394,0.7621225710328366,0.8879136145000153,0.7985954010702608,0.9106302957714927,0.8753352187577139,0.8988697444707298,0.8766474779943237,0.942256544883036,0.9239382823264821,1.0519650907969562,1.1162731126310828,1.3780015844347988,1.18134306241446,1.407327379562623,1.1605463391586155,1.317065967510342,1.2648197468122786,1.2523142907589746,1.4496190060456184,1.3606300191225458,1.360365356504844,1.3733196782842687,1.22669261716799,1.0473341428473912,1.045184016811662,0.8774447222297703,0.7842953498472782,0.6504519505976762,0.6586366830400717,0.6755548039430336,0.6540708085813627,0.6572580134871998,0.6345919396942922,0.6445954688795196,0.6137605326014134,0.6409390685951493,0.7573006087425175,0.7737476507238358,0.9828667403014206,1.0390251356443179,1.1268592022576247,1.1530930698638873,1.1907050856507577,1.3330518981545072,1.1244611421064319,1.1207071124800527,1.003814137864891,1.0900668359131302,0.978953718761933,0.7296722778701936,0.6585622878831788,0.681754964276465,0.7635914269635745,0.8635312595607726,0.6241995462310237,0.6373905801386072,0.6698547801732556,0.7499276312641685,0.746684381139822,0.8938620385264923,0.9994241797448472,1.0724134406071824,1.2675059353519547,1.2722964999985618,1.445501932282762,1.783787427259503,1.449864065938759,1.3284653701465103,1.1698473971987338,1.2797956276536173,1.0618788217215769,1.1394029952795806,0.943232180941622,0.9160196649949356,0.7444485587483662,0.7653998490887157,0.8476714724077964,0.9366169031208128,0.9028847877221495,1.1759038802317487,1.2116884102554302,1.0674819443709567,0.8811539094110971,0.7543524682397398,0.8404889740612771,0.9206630529706299,0.9297026690024689,1.0974123894682166,1.0313380519783542,1.1884572127829864,0.9936555071873454,1.1191067267731751,0.8873496993421743,1.064479762642942,1.0606516954817817,1.0707004122667287,0.9584654819799574,0.8894007690326711,0.8513838481007064,0.9329078735546242,1.2268711251165594,1.1309905352744887,1.2310559417584805,1.1860892503419969,1.1848931229741904,1.2027667197418273,1.138415330308348,1.1896360466023663,1.1566759625760963,1.2696652047126702,1.2936804687965076,1.4792069554564038,1.4464941489235954,1.5277838452451316,1.4593955113281039,1.4379591737753101,1.6463912912571415,1.6915132502378887,1.5704464938287745,1.6912545214579335,1.878110859654782,1.84719665011754,1.841914057122802,2.0048584090390733,2.098463907790836,2.072784341535722,2.084698668859972,1.900807440565477,2.0610555698528548,1.7939749897995858,1.8283238483661364,1.9647095213166375,1.9482890117718672,2.2744951221626675,2.13362556069903,2.175420400459736,1.8134436927445516,1.7890683588358507,1.7463349574885376,1.6897957331095284,1.7086049757019208,1.6207090827546329,1.5637078868285774,1.6341083864643504,1.6399579874028776,1.487729499565251,1.3974547084534739,1.579545758768744,1.4089820131614157,1.2881118378776755,1.3273327131806785,1.3888831690124877,1.433217841879954,1.5783808196749405,1.5833692399494315,1.7240787637742387,1.6330075868670757,1.5468326688671026,1.773475420657629,1.8143344320804256,1.694715199278216,1.7906987159570669,1.9771510971039712,2.037826393892178,1.981025391725415,2.0567508221168396,2.18643554286744,2.247539650659636,2.1537745904003174,2.165673022664363,2.045639186557962,1.98047625569113,1.866861753613078,1.8417344775824593,1.9112416369906198,1.7894060013068693,1.7018658673047715,1.7733267647435549,1.757724318860949,1.5792880520054646,1.6974341709660554,1.8153880914373839,1.5875388368304977,1.5225414575637408,1.6454657514870505,1.7733514307832217,1.611391548073479,1.5861509864502188,1.613114678612828,1.6097299954292552,1.855049072589997,1.5300070598257085,1.6479890255996694,1.8575100744747732,1.5521502776974037,1.45046196758992,1.3540040331427206,1.3292378081915412,1.5099522011460955,1.4853537983127212,1.348513175828521,1.1034620188498638,1.5332652970774747,1.518378328673875,1.6870862797176827,2.0806400508873484,1.9404589783667632,2.097551119606014,2.550370175852994,2.7766142002911223,2.709377087477666,3.5458250942188716,3.5716790306204085,4.546376126111657,4.508707672870672,5.316399885203852],[1.4800293515677856,1.457791501984981,1.4047228262466025,1.0424179429970186,1.1266227483119815,1.211581237214249,1.0636873560452635,1.1886227380543302,1.0545736856991523,0.852675316279494,0.8451778084180136,1.0156884095076402,0.862017914188652,0.7412911193108712,0.7851424840065323,0.8292336810097014,0.7048361437492989,0.6435867782766601,0.6011243828198256,0.6100178916018888,0.6031213541081608,0.6247495222403989,0.7244636482375012,0.7646767466392351,0.7077535692493014,0.6140992129337584,0.5641136225045975,0.6147862600731434,0.7087283325689857,0.8199677689972438,0.769118124941292,0.9096438852539612,0.9886451029762284,0.867074006732909,0.851240607963936,0.7390636146330577,0.880129426379022,0.7387569327021003,0.7233913005634408,0.7643537956169165,0.6266010079392516,0.5994860714882763,0.6158222685185045,0.781340890252491,1.2666412301960248,1.650141746438221,1.8601200252143828,1.0251723948908937,0.9749469683381999,1.1584392881363859,0.9849469457358804,0.8924950812394106,0.8727333328213996,0.7680350843960865,1.125231162404699,0.765360939237784,0.851524699918576,0.7790845325835768,0.844699037502083,1.100467377459821,0.8723532575839393,0.8370936543343425,0.7669573051329764,0.780147045205188,0.6944011713749415,0.7328837167893484,0.8084370336512297,0.6755923471498897,0.7846222734513353,0.7584737568532434,0.87193491739039,1.1045082127110202,0.8067712808982219,0.94290560787133,0.7392746505424741,1.4186445899953024,0.7183969283781935,0.76578430487342,0.7895150599948171,0.752139826369173,0.7913880190105967,0.859096633881024,1.1180428083817597,0.9581661451188958,0.7987776836137123,0.8103058962141022,0.7270409254688551,0.9241821662593719,0.7230281833439037,0.8384293419210734,0.7485887983897496,0.8661427994371662,0.8256020007669969,0.8374733852839062,0.8284524832116621,0.9053616090554113,0.9057154233630275,1.0092227074529427,1.0757510667483643,1.3485668911953101,1.1522599164916776,1.364336164373659,1.1121773153331105,1.2732182260402285,1.2026617996769975,1.198872379592684,1.3889659615247918,1.3480755245680511,1.3439200928706865,1.3837492570084775,1.195920236484879,1.0269366768710455,1.0413827583784354,0.8617356604819412,0.7580509917646547,0.6210048585278536,0.623470817395151,0.6252139991102668,0.606074153991657,0.6110319273525192,0.5806326066743549,0.6062633410709516,0.5698378287481426,0.6103242001181503,0.7399126160518892,0.751595476646477,0.9846872554082526,1.0172337128091131,1.1077444194621553,1.1221397047330763,1.1778699006758668,1.3041604554397552,1.0958024242479627,1.0937824943652954,0.980261341693084,1.0643839095158678,0.9554338364831241,0.7184115602199758,0.6239861802560712,0.6383762151825777,0.7131964676291258,0.8475565677340335,0.5932950592602837,0.6056322405172327,0.6388809123856688,0.7090762460725758,0.7154025836914512,0.8692916861114454,0.9806880549501267,1.0550935033903541,1.2448993673229323,1.2526003093392548,1.4026551619965528,1.7102587143882806,1.4128184195934603,1.288921250009491,1.1413606863170045,1.247723946982864,1.0364419468665005,1.1122164247971813,0.9255656267799582,0.879418073929835,0.7104577699857098,0.7372723517427503,0.8051993407150063,0.8967979855194185,0.8942160593744787,1.1750712903665506,1.1937182884351956,1.0606199166072077,0.8640678225153899,0.7359779578464332,0.8259871015988512,0.8997523398132271,0.9040850269943939,1.047485404412402,1.0011384074163592,1.1239894104374784,0.951714254672566,1.05976910966534,0.8706129519314647,1.0340543331110588,1.0359626764325052,1.0544908044797017,0.9523299910224478,0.8903036773192982,0.8564596198102784,0.9361760978150596,1.2493187434023278,1.1296991307298234,1.234493624963947,1.1468947281075301,1.1633981013260875,1.1750998677102855,1.1090885247578375,1.168578788152035,1.1571530542068005,1.2709831950011825,1.3101200532733082,1.4837046942215846,1.447164093564438,1.502305946308196,1.4388318511352867,1.43983538386618,1.627993404415378,1.6645120159278466,1.5717793499525243,1.6877344745799832,1.8245154491764506,1.811920470280946,1.8246111995579937,1.946280088013124,2.0108275815796803,2.019682279379066,2.040861942357899,1.8837221652666574,2.0411679063599237,1.8194025074684235,1.8404030081288716,1.941402925958506,1.9336977229355243,2.232371127400323,2.114392531353379,2.129567035246131,1.8205591186891847,1.7831319565461472,1.7148625618116011,1.6696704373136009,1.7202332078683102,1.6274793132291125,1.5474703714217124,1.6495923467458382,1.6641127502654791,1.4971798934706988,1.3953943200816559,1.5818088546740083,1.4265457146871698,1.3072683890675763,1.345791037076851,1.3898565020199498,1.4234875294523452,1.5421861768223986,1.5366421733667415,1.6877158573364641,1.588044334492614,1.5205527603546694,1.7040412640349234,1.7262719715549348,1.656065024962747,1.7284193487973354,1.8870185803945647,1.941864519422166,1.8929251326226588,1.964559619088502,2.0685324001799312,2.148747267078537,2.057005181603835,2.0553170076274263,1.970687472203472,1.9070619801780841,1.7992056899746842,1.7904572452712786,1.8594592527901703,1.7580137879571966,1.6822802487317388,1.7665297159090014,1.7629931681664688,1.598512918299194,1.7080191599717693,1.8336155008024404,1.6273168001629519,1.5595584546769279,1.6730329904752963,1.8306977927654717,1.6694294723258112,1.6341232707841022,1.6840373705857705,1.6584182130779548,1.9071210055992893,1.606715757170812,1.6789540935239342,1.8612423852962494,1.604973223952771,1.4752350484407866,1.4048874707212449,1.3539880671379674,1.5157138790540505,1.4524311831871723,1.350732508267565,1.0993885405785229,1.557099821765658,1.4292509398583022,1.5933318394879084,1.8915017270690802,1.8561938726092662,2.012061346779784,2.412036230179426,2.7150120068050874,2.7230510766177334,3.5093226931556654,3.490216699035109,4.394935285451889,4.3311274872949985,5.133835384394548],[0.954776481872122,0.9642028150353221,1.013439400457777,0.7617033139868823,0.8464840696109531,0.9036582494078536,0.8165189133460315,0.9002465250014247,0.8825110667097622,0.7569275374171104,0.7757414430621635,0.8798905911977015,0.734662440751135,0.7107681541969386,0.7478728725808624,0.7400560996299433,0.6717445339323983,0.6436466002300187,0.6669677319424441,0.5716055267744303,0.6045402961542992,0.5900433433520927,0.7192476458889056,0.7327014927459358,0.6799270351929612,0.5991289534586467,0.5004257827367176,0.5565134266681688,0.6262962925097557,0.693545500166064,0.7241447987598434,0.7466701445389521,0.8329257229150013,0.7535728564097579,0.7053908472210338,0.6406083201736558,0.6964256626725936,0.6213175887810759,0.5734138498867078,0.5954617163010836,0.5223848193695906,0.5355725078736845,0.550679126796692,0.7540575007452058,1.2908484089882128,1.6669898331767992,1.8999726119919504,1.028943838698082,0.9452497550810901,1.1235775581327467,0.9411415433424427,0.8326485369170882,0.8032595007263593,0.6427407380574048,1.0069771531180447,0.6471896652204684,0.7123562286470869,0.7521423318674563,0.7896814645539163,1.0278792619052073,0.8111637656034782,0.7488202822670835,0.6956427519524967,0.7709345719188753,0.7387821333611703,0.6735194174395988,0.8113765250627001,0.7111827858328227,0.8684584015254027,0.8527755839743656,0.9507015352660773,1.1732719574839392,0.9132707331098602,1.0315468549060622,0.7664908739255339,1.4332090712721244,0.688263962430516,0.7016825350669071,0.6758895199895549,0.656639873914108,0.6435969980038269,0.6939071922781264,0.914371479798558,0.7074757743314364,0.6069329917341004,0.6051479102648459,0.5789359878469547,0.7630970582188398,0.6192683507208084,0.7297355236186998,0.7251342693837676,0.9002652347205535,0.8451862520350248,0.7942980830171608,0.7865125171874041,0.9061670157514905,0.930510679629046,0.8824596825468703,0.8952624379546614,1.0878405215827909,0.9085138731028898,1.0686802329048088,0.8137056294205045,0.9372847320442642,0.8879720371510871,0.881012072715181,1.063193823297919,0.984981598371313,0.9670176660931432,1.0544707918267078,0.8892874405439932,0.7336350286772053,0.7793773485016119,0.6702250438948141,0.639227793928141,0.5620532961691205,0.5918887916670673,0.6244717685445926,0.6789338420756169,0.6394414120332709,0.6351363844020025,0.6383518367964572,0.6028367344989695,0.5639529473447216,0.6207281492283759,0.5944318953876335,0.744752790951012,0.7343727880992541,0.8074504388048863,0.8173828215064497,0.8666803036871439,0.9725825756799145,0.8155310287703444,0.7944557929541408,0.7136613051026501,0.8216025618681964,0.7623190484587649,0.5450427011754353,0.49296028613785314,0.5204895304725801,0.6528416369189879,0.8201659380792369,0.5281885500501254,0.5082240656948875,0.5247081218164121,0.577483324359986,0.5769705517750978,0.6963810499538391,0.7373452984798509,0.819191010330744,0.9383988936927319,0.9582685299436603,1.0652654736167857,1.412335893414319,1.1783252449043102,0.9969295118914464,0.8871332780568817,0.9456297070830951,0.780856438087152,0.8169610032948529,0.6814993676584079,0.6665984728903219,0.5467609464140724,0.5421866038475301,0.6491684034004922,0.7995994052008889,0.7465358412289841,1.0758702695201647,1.067935942144967,0.9214708476764522,0.6908307744536757,0.5466099451785867,0.6149632137905106,0.6593516566779675,0.6546563649155165,0.7682004565786508,0.746005825409493,0.8408730698451963,0.6948404696348841,0.7675175608905876,0.6317808893222647,0.7460107032334431,0.762619595719514,0.8113246023130349,0.7318777571489323,0.7348331556940492,0.7329459255434916,0.8379896426287089,1.191186261516307,1.0672144043844047,1.1685984604784656,0.986269080230329,1.0083276117953213,1.0070391612511946,0.8757852369048441,0.9190782769478313,0.9039348083066566,0.9968813618064574,1.0128078316705666,1.1379797759970798,1.1438065896750325,1.177609380532091,1.1007454518349127,1.1551718333580134,1.3296120631266872,1.3289699795742613,1.2779989049852312,1.4330807659543823,1.5205979276077237,1.4966024567411909,1.5428293331778742,1.688662532866453,1.7036678123913909,1.7456968613325883,1.8210514532832798,1.7313044104702704,1.8729683521082352,1.7303566325316624,1.6686421975294077,1.7654233468839025,1.8050821051251162,2.293830335864696,2.0439502466986053,2.049398561195219,1.6296685155708037,1.6049855974990481,1.4936037605500934,1.494180683130842,1.6281655559552,1.4317923667772747,1.3291672030502708,1.5173156213186947,1.514028960998528,1.2890679597915686,1.2432884125350225,1.5410348735505612,1.3127459574466476,1.1432767431900739,1.1089717609715708,1.0804802152951596,1.1476875619884506,1.2436802607190711,1.2099508472091398,1.3940517835803428,1.2481635016999848,1.1994886828987388,1.3718386647059708,1.3619983635262605,1.310744464383235,1.3880289098860252,1.5473469739448977,1.5753921325994034,1.559687790536143,1.6521039144020349,1.731186956432189,1.8161358029298904,1.7509107158102855,1.7859274986881628,1.7165172867485528,1.6393002646578925,1.511788228209445,1.5524822889465404,1.6664454672119935,1.5240348023065173,1.4663209433654814,1.5980478573749741,1.5837757842133673,1.3924800695839261,1.5856612159184535,1.7994586955990708,1.5001643866713306,1.4532554606250359,1.5950179538803926,1.7704982221818695,1.5648827924582742,1.499814423110728,1.64278727390684,1.6051594682834807,1.8351646109405049,1.4913718730542034,1.4946410212833716,1.6400519389772246,1.44091674554453,1.2401135052574248,1.1835027589365268,1.1038780280233835,1.2257955474823954,1.0823328670824317,1.027157576209057,0.8394308718844237,1.2002021051570937,1.1478902123093464,1.2601457027785596,1.5334875046825525,1.6120794471199567,1.7123483957594,2.0832983371849605,2.4710769940338446,2.4942439545593684,3.208270957200284,3.1916200795908556,3.993137837645387,3.9819398395098893,4.689648480482776],[0.7280363395436443,0.7248608197317804,0.8231635145622885,0.6160627872403065,0.6879303293980078,0.5720578261676622,0.5148797013829931,0.5741383879558072,0.5315932817751401,0.44000049839460076,0.44903164105881294,0.5284915394186166,0.4587715123045683,0.4294009861618228,0.4736113724752459,0.4566192503406756,0.4568128536604353,0.4553527935339055,0.5601438537548661,0.4878615155291946,0.5515321869913531,0.5890961258133552,0.7723408971658865,0.8224061819824782,0.732966706584834,0.6045770567270137,0.5323793264743732,0.42869153088464446,0.46111075476581054,0.47044999685523553,0.4765515238270321,0.49648282332372806,0.5051267930552054,0.4666012662809561,0.462961504147679,0.45131312722172096,0.4797075859247553,0.5000359125441485,0.4865288776341089,0.5710464399483158,0.5393250934696102,0.5756429875384297,0.6681996789166881,0.9260813818766891,1.4195479026019993,1.7630353113962287,1.9993130074152232,1.2050985101918006,1.0995534950426342,1.3065484075991538,1.1236944159289053,0.9856430521955576,0.8814661476123937,0.7177040350796033,1.0639114665615041,0.7127263424419497,0.7403105266054931,0.8706384252698866,0.8089096761568284,1.0150223382922077,0.8364943791553893,0.7126523169504194,0.5487561186909025,0.6625812214640932,0.7104655766951374,0.5803534223113542,0.6949001355956727,0.5333424779683029,0.7499974039468843,0.6803370381017761,0.8484634580438221,1.1129756491138574,0.7588137084575733,0.9422848718185207,0.595171512226553,1.2495342237673206,0.5269465667585039,0.4616948592705873,0.48316828930288247,0.5561766397177291,0.5197360102880533,0.6200178730820917,0.8754077948337845,0.6447588367875342,0.6255384863628103,0.5355948065957081,0.506273340055336,0.5813726581252823,0.4573171584013612,0.5105411384433564,0.4812746153146711,0.6816279734011034,0.5924960229565387,0.48566722155582115,0.4875416878593877,0.5900297726746018,0.6571009531059687,0.5469066500383982,0.5630546255626829,0.7735884530457398,0.6030900599202637,0.8187771063378603,0.5585986289289767,0.7029843933844994,0.7676686964234155,0.7793274821768578,0.9626522088007424,0.8512719363933468,0.8245115462420944,0.9393201560396622,0.843585708207933,0.6114254517446924,0.5279870228300247,0.498868988579424,0.4460263484847221,0.4201692389911706,0.43046154320441143,0.5414222612658045,0.5848948762231392,0.484686431789154,0.5141984600134544,0.4430897775206557,0.45228378664799385,0.40297974592589747,0.4093777160334953,0.47782912418761175,0.7006749729912779,0.6084477629576549,0.7343292021218215,0.7223878183302279,0.735381266348967,0.8193558256635524,0.7533538251796905,0.738646731100984,0.6777372726936235,0.7717702037447012,0.8212586106824932,0.6050739398063643,0.48914631867049546,0.4889666775751334,0.6308039046553041,0.7975468074484224,0.523259272911662,0.4890400546102654,0.4988134788666424,0.47250196185734666,0.47615023631635417,0.5115050324882238,0.5197000834852231,0.5622903567843671,0.676071736268712,0.6516809400695208,0.7990293097448999,1.1384665794975635,0.92376613587521,0.6978855576992438,0.5942314392788142,0.6662113788773669,0.5170857539213585,0.5919969555940894,0.5279100735858582,0.5045294979566702,0.4893118752811936,0.5018531246560353,0.7097761145983822,0.8199865980774305,0.8064261123301188,1.1500486602376492,1.0936056064063897,0.9660525194704443,0.7416982015270032,0.60560959271411,0.6095714208553281,0.5993012321008279,0.5455981139230723,0.6052410547129116,0.5545586946945362,0.6585085428489706,0.5638559933491304,0.6342493323514921,0.6596848602768915,0.6641004007062487,0.730170949218738,0.7979578431794625,0.7537354534821935,0.8163338855784614,0.8192777744315667,0.9941445285464633,1.3341492342155152,1.0823546816673106,1.1932843942030757,1.035742228906529,0.9968730963538499,1.0034772494614854,0.8582754899042172,0.8955615286937252,0.8430337014110173,0.9370755006253151,0.9412896537462604,0.9693627960304337,1.09184826965231,1.1033541788730719,1.0044109334853406,1.118157637357425,1.261145372564641,1.2279518324572,1.2034129003929588,1.3801491572697042,1.4320231660664942,1.4003278273007986,1.4704933528258606,1.6191891947149235,1.6012949547284145,1.684667749143664,1.771708346990034,1.7251868979781642,1.797807265070368,1.672060166386216,1.6053611357371254,1.6812218904583807,1.7242642449450745,2.286645662522024,1.9476874644837372,1.9617583665193843,1.5866019605165362,1.5742231877109696,1.46038397925273,1.5014685213790382,1.6885114911173655,1.4324392035424018,1.3313851915984911,1.5660103753470769,1.5463352033118258,1.2904889126477304,1.3269904186218406,1.664651119256329,1.3922720566048838,1.1721816439063606,1.098612335246391,1.014957971797828,1.1194655551894364,1.2005718786716082,1.1607437257231756,1.3721273904853897,1.207349053342235,1.17377575133266,1.3046110770804036,1.2491644988210842,1.2148897755757877,1.296648439341351,1.4384483039264262,1.4456498944325056,1.4486871297892614,1.5301467035188363,1.5941005591768402,1.6734148686507166,1.6306264787642866,1.6769832628762402,1.6214328930244617,1.5461820829818556,1.4429476401083852,1.4931616181774114,1.6047986738941347,1.4676807349048209,1.4289659769048355,1.5564807741428603,1.5340287544452378,1.3631579380872874,1.5940850272587817,1.7838119780362731,1.482642950168417,1.4714658221816646,1.5945435259007967,1.7148577569939625,1.5183729980564908,1.4426865575919732,1.6456006641264929,1.585691402479311,1.762841200159801,1.506560091669305,1.4666450640673403,1.5923592742583978,1.4821071465296458,1.218676681735208,1.1474349203269347,1.0600343765432725,1.1422891912909814,0.9281872648433045,0.9006629116718853,0.8401778372089245,0.9993610157236136,1.0971787942628841,1.1631801720222197,1.3345390356641216,1.5301068383572054,1.596887332198825,1.893094120351024,2.2713376473266274,2.355075741120174,3.0053323416838,2.9729205299287207,3.688265993706025,3.7741480517912365,4.378656447289164],[0.6681905373379066,0.6601846932482233,0.7883594414880102,0.7171893374904772,0.6839662503771119,0.5699486493334474,0.604203753523498,0.6026619637233049,0.641699834187388,0.6695495597718802,0.6939047816961291,0.6296274828952806,0.6922758955103443,0.7226241989518564,0.7491820612791091,0.7021491364426984,0.7140256690862028,0.761452509830545,0.866444909732911,0.7866527708555208,0.8516611403452058,0.8673044747054204,1.0179903122992888,1.0620518199408473,0.9771539469534615,0.8958992881949775,0.8443320664485946,0.7550097808167914,0.7366206258008048,0.6827568318008593,0.7608617274919484,0.704073671337773,0.669715659720426,0.6897179232243908,0.7047669182910015,0.727808061354872,0.6883233010499851,0.7373238655612266,0.7220317258616309,0.7490404030549204,0.7611960583684328,0.8560755853951706,0.9300665872721487,1.1308362434363557,1.5597670319528145,1.859283217772722,2.0399112757178823,1.3151693443991312,1.207557458029077,1.355849309670692,1.1617297739583092,1.0403674993889165,0.989904521835525,0.8656105006724566,1.1927466641837317,0.8857914711090406,0.9183639293450561,1.0975363697245426,1.0352044565473169,1.1627402080017684,1.0417117666667557,0.9412166668997458,0.7905885893206481,0.9262936583343644,0.9393033040478042,0.8312096465685858,0.912837440124976,0.8197587475426834,0.9865389724400973,0.9394774494579976,1.087223011146392,1.2865163067014802,1.015489023311206,1.1826494243975287,0.8556392012032826,1.2230083979561308,0.810639869657939,0.7233783186949647,0.7112941046268451,0.7858021966516964,0.7490103127961316,0.7899755068892976,0.9748875431815753,0.7321832671450509,0.7571517857431227,0.7329524642070043,0.7553917488872501,0.7452614098274636,0.7234283954177786,0.7891884822796646,0.7521675195801041,0.859002422466643,0.8125331878405089,0.7341907235424383,0.7377164221102687,0.7604639706048191,0.8366834540616256,0.6825295811252861,0.6728283007666326,0.7663718457484641,0.6623996214383533,0.7829247594073452,0.6368788801995713,0.6775223338491531,0.7364755809237018,0.7258276814052582,0.8579616396906027,0.7530644717686711,0.7013277033906054,0.8593082181887925,0.7703668894239206,0.6439284374726251,0.5997945684558985,0.6411474200029064,0.6931949074838053,0.7275617986203669,0.7937802950522952,0.814426513463308,0.8751472458798447,0.8247874463027043,0.8500891594121416,0.7882376109880643,0.7925412447620188,0.7392067271249253,0.6847825595499547,0.6466243797276195,0.763642987238796,0.6247253079014585,0.6744895733213582,0.667877478553583,0.6792708398703086,0.7694980834011339,0.6835227585239926,0.6763391499446275,0.6470324872239683,0.7743167671840046,0.7971633184116154,0.7025795592104693,0.6967615993451943,0.6973595905139206,0.8600652714181896,0.954494167120389,0.8173356046258788,0.7597396745231927,0.7453507427778804,0.718527463063853,0.7154819338922984,0.6616105617173879,0.6166451029988885,0.6586646830444542,0.6693443163176244,0.6616105602998802,0.7643726142355587,1.0615424695878957,0.9181543418713839,0.7011016573099318,0.6513703908209981,0.6626555237753146,0.6297478454274748,0.622410590466105,0.6254063801830106,0.6409318069858234,0.671606619499497,0.6585527875162109,0.8080492628354409,0.8811687874938232,0.8082554668180116,1.1193696346638453,1.0731970836569384,0.9872267587400316,0.7507210666689784,0.6979211365164384,0.6893580638906385,0.6749505258434645,0.6406877510054597,0.6584298962635505,0.6699653619004847,0.7154043055185645,0.6517133527941993,0.66985622483334,0.7107912587375157,0.6635420713655289,0.6977738109555842,0.7550969241924829,0.7522115379791183,0.8692977552462061,0.9308166379851226,1.0553111599912646,1.401929037302448,1.1286290771022032,1.2239769725760283,1.0264001195286943,0.9744538085927061,0.9571113881423505,0.7924267712666863,0.8359984436336827,0.8086064059936394,0.8388290161702266,0.8302004963992434,0.9113101029314365,0.8798623711392507,0.8742607606769414,0.8196911986769309,0.8856618347372722,1.0039679054251995,1.0012528344055809,1.004171488680941,1.105404628463793,1.134445012926202,1.1567344685187093,1.1943033282527773,1.2881126286303588,1.3165867144807846,1.4235205826688315,1.458995086466131,1.4150979566636719,1.439372620393796,1.3555596631754712,1.3057924622249466,1.358526002629414,1.3829506558639177,1.7505560087230885,1.5507910618293599,1.5722323218915355,1.2903645437960738,1.2396203436666755,1.183543246475951,1.1800374360103048,1.3138383593254805,1.1396423772594941,1.0556908678943862,1.2935621269434876,1.3157519521783212,1.0768498655014949,1.0586275378020762,1.4028683372771233,1.1817275606561632,1.019485416414101,0.894619734510026,0.8700644288839177,0.8929962821776481,0.9472099175974031,0.8935778602792653,1.053277313758711,0.9505712830597082,0.9052432485666053,1.025591740638894,0.9791061839574637,0.9757140895980903,1.0223147579147358,1.1322633929206067,1.1564396716314513,1.151949593713841,1.2144908169466395,1.2776320335946163,1.3753272762352184,1.3017952121911638,1.312860645051018,1.2694749915114605,1.2125714122004336,1.1281523185120144,1.1538954616644561,1.2525943290186792,1.1394896372505545,1.1014662216477924,1.2400660826003582,1.2288095618951809,1.0856362925968328,1.2810009519844812,1.458262784410213,1.205867957657344,1.2236130499202367,1.361198011498413,1.5539941751615989,1.351366649657312,1.24278204898459,1.4895372548340904,1.3795719228881371,1.4757312884666112,1.2749275779602058,1.2202668249992334,1.3905829807004448,1.3568701431548484,1.0814816323149008,1.0209093444981268,0.9590029145002575,1.006072992838949,0.8139776132349794,0.8081653105378431,0.7378421987862037,0.9175045048911576,0.9328938384252105,0.9375332011692167,1.1170306783597344,1.3941536210472891,1.3835224455566084,1.6259012299938926,2.1159117769406217,2.2332832284430912,2.8083964577763494,2.731259627570286,3.471055902824025,3.4819755197067237,4.174538415660248],[0.6930446173598888,0.7071439139967315,0.7882962214620222,0.5778933705343181,0.5671954477421519,0.5858142094230362,0.4760971448816517,0.5091557758661711,0.4920301430847061,0.3803124681131065,0.37912251162030813,0.4718748212951881,0.4015010976692389,0.3599930115087764,0.38776679942777503,0.39406863775056955,0.42593055580492367,0.3962782462874254,0.5218193069731657,0.43071593538530495,0.5113650907029964,0.5349575636941752,0.7591857424926383,0.799534381571277,0.6827126905326132,0.5614516347825804,0.47902140701846346,0.3658075481349017,0.3956523124615141,0.39526624652152653,0.4014305480233363,0.4419728847837665,0.4264970067063808,0.408217026703257,0.3791940925032614,0.3768798551504562,0.39796881784529564,0.4138427315691537,0.3855429605902028,0.461178488993433,0.44636366316244885,0.5127232954142555,0.619816959737966,0.8723643983621703,1.434899978894873,1.7603770541135604,2.0358747287157613,1.1944072907553513,1.0454755748162763,1.2673743223747198,1.0656149027994568,0.9316819691149146,0.8517957433094523,0.651973996497565,0.9706929608696402,0.6264400976385791,0.6386836045530194,0.8651797276609935,0.751939740163367,0.9687611259144081,0.7546673477574565,0.63727846582114,0.5068773197283308,0.6178611365272086,0.6668488898926158,0.5264888068683453,0.6483687933359716,0.46037821254137956,0.6703807834804835,0.6210534229941629,0.7667306257522452,1.0223293874307393,0.6966309894571664,0.9072839869626851,0.5006195480230812,1.1820345944010031,0.4534551595993831,0.39153015382833456,0.42582257612049446,0.5078173047110567,0.43129648994858516,0.5072674171915043,0.7507508077837023,0.528199010421713,0.5245629232710776,0.4211948108614385,0.40893341371850894,0.5168904201884775,0.3907008746396599,0.4480507431177523,0.4211972396532272,0.6319919123691573,0.540452116590125,0.4161741679349829,0.4222791850556183,0.521268927288015,0.6076297440625936,0.482403935843163,0.4904841260892468,0.6728924268463377,0.5067189905788152,0.7540329669220603,0.45373119164716785,0.563373619193264,0.5501672143237286,0.5505586421955625,0.6828318633524427,0.7288514189685547,0.6467405727833363,0.7642055496602458,0.5903855097129671,0.45954603965904406,0.4658324848943741,0.42530226927100784,0.40742021522862043,0.3878727858652048,0.3889245462590344,0.49340220837189686,0.5663971760388604,0.4263070531428214,0.46904315625720194,0.40690603146857807,0.41437199624533116,0.3586513424509035,0.35443838955388757,0.408892138108539,0.5711452530420359,0.4932283241515611,0.5234080756767965,0.519647775716339,0.6574753047415787,0.7385923250849618,0.6306709931828731,0.5326384138400176,0.5154135445836054,0.6319392099766564,0.6335942327255649,0.45512279615991724,0.34288185005614086,0.36380363830941004,0.5305524884112752,0.765961264470659,0.4530353324561888,0.37830302835224494,0.3840842067420638,0.3760308323448106,0.3763440408556004,0.43439044776344937,0.4321684760451964,0.4716249174901274,0.5672268119034886,0.553834151470789,0.6577308392098522,1.0126559603611727,0.8185625063805059,0.5743299035935523,0.5049955712497607,0.5563617910448593,0.4267452009594822,0.4662762977131738,0.43350051280738744,0.41765673373857193,0.3925965347004585,0.40504870457155306,0.5871248917040092,0.752081086617418,0.7423246960385739,1.1305031140704913,1.0414450280635006,0.8834929739324069,0.6006344898768834,0.45505206521157404,0.4515148710931973,0.43997482517565367,0.4042228035384107,0.44639771699646286,0.43882445216792365,0.49538281084994695,0.4418876443290317,0.4662732795084752,0.5016524838405357,0.46400460224733164,0.5413570504099531,0.6526411088197763,0.6079835195186792,0.6788272739822779,0.7061770869466043,0.8656002924401449,1.2659803556844946,1.090899026391849,1.1783065362647351,0.9586658153517769,0.9557565033827511,0.932369324389419,0.7788942330091199,0.8622705961825562,0.8712022120096861,0.8615536975488279,0.8543393096304516,0.9404684749320251,0.8634267581520644,0.8025224325617368,0.7614032033091129,0.833188890086158,0.9315171510556424,0.9217852370635453,0.9419146504393981,1.0257552557453185,1.0366982957112534,1.0683294521238327,1.1096255993888375,1.1896619286390262,1.2209086212537714,1.3306935181103008,1.387056312180271,1.3322487949451793,1.3647924563436122,1.2749688683047504,1.2189198318861936,1.2668982524414174,1.2967748991944295,1.733920239392962,1.4812388936594558,1.48454808177877,1.2208404431282076,1.1749011840273824,1.1223698200924617,1.1542952095335886,1.2867119393680748,1.0981104864505398,1.045996545123456,1.3055287339784347,1.3192713746893245,1.0832249086141448,1.0635816693784497,1.4319177173361122,1.2160086127788987,1.0230866984309988,0.9101154944083784,0.9041356881036045,0.8908843479133828,0.9143599578445213,0.8570534376730514,0.9567954769454268,0.8612798222808511,0.8227349041651625,0.9420673381878891,0.8801545207687438,0.8739654693519142,0.9285763854669111,1.0217138616905073,1.044516608417345,1.0423096248303547,1.1148625271440764,1.1806263293588137,1.2921083402669247,1.204204549403379,1.2118198747031292,1.1638745682708302,1.1111995819466922,1.0325403755652007,1.0691433938982542,1.1557133360619092,1.0499120634132508,1.029217396793579,1.1638987007090018,1.1563175372150782,1.0325301128607822,1.2279417367195093,1.4002940020658172,1.1531720377101684,1.191554921442332,1.3556568214169342,1.527789806285136,1.3049828581554839,1.1815121562952293,1.5376659074701406,1.3473688808427786,1.3889686018388587,1.2367533973465874,1.1488876895103652,1.296435204496113,1.3237581548493147,1.0677314849507185,1.018593101105028,0.9438997469229762,0.9705386086242426,0.720038156341146,0.8048917845782887,0.591301226303195,0.932864880130412,0.7669868342766251,0.8005315722913967,0.9683025450022446,1.2827747878216422,1.2892452275256272,1.5143558360633034,2.1118726978481663,2.2833451166240275,2.7756251214958474,2.6887636307329674,3.529739961693545,3.4379692204438297,4.293359348583344],[0.6711237583800209,0.7053845625518369,0.8074400340963062,0.6689547130759207,0.5565740745692087,0.5098536035898599,0.4382855539245287,0.4552153388812349,0.4637642781973668,0.3830958386010671,0.37653504217427725,0.45453694014667445,0.39837601538867773,0.3673119802109042,0.39479613322283374,0.40706379367565426,0.4375039012049108,0.4150386603387526,0.5144582945545276,0.44789482066147696,0.511234131065215,0.5454642031994787,0.7666614079539046,0.802293429874228,0.6820598110625994,0.5477239227262967,0.4980632111308125,0.3776134269441001,0.4172601935373364,0.40537045324821885,0.42660290633539344,0.4389898959569641,0.41232821557497024,0.4106050139427711,0.39621570957261454,0.40039140405434626,0.40227586475130683,0.4291235568675974,0.39836263639406433,0.48537886682995424,0.4682200295221245,0.5304803944232702,0.6530169049415986,0.8894133265274823,1.4279961900925926,1.7432612004763355,2.028502021228005,1.2099684267081028,1.0562105996896567,1.288027595901902,1.1075533540271307,0.953846492123995,0.8750464704797206,0.689861318534057,1.000663131984472,0.6741266632812647,0.6844777773337968,0.8962130211430599,0.7571584941084296,0.997895276254723,0.7873627848529818,0.668648392613996,0.5149390384344401,0.6187475400810064,0.6733273997331392,0.535221759210011,0.6432770026000562,0.46838116869032864,0.6828626381442862,0.6272717742911181,0.7898513174830527,1.0418298497258964,0.6989580005794652,0.9073456010863928,0.5246607581688995,1.120542828256558,0.4807762454384902,0.42276123462952797,0.4507449359701623,0.5342199467440361,0.4590897036617065,0.5261642746497803,0.7510454040414599,0.5915790010950448,0.5846996542432655,0.45747724263151596,0.44370182026179794,0.5305497768079412,0.4252585904629024,0.4736581338412257,0.45001607607143373,0.6434594016245088,0.5525339760155499,0.422517502786767,0.4240994696385116,0.5016524051279657,0.5987444506211665,0.4548014926222923,0.4509722883157065,0.5954036012418948,0.47057017054663974,0.683686543955242,0.4335769617112014,0.5002411114510095,0.5229971131224748,0.5165892324168478,0.6298151164176431,0.6852829334383388,0.5720688118044844,0.7039695035948123,0.5845753227508195,0.44616167213106184,0.423149102355005,0.4065708267795092,0.4069226603792673,0.39768496506953127,0.3884970955457562,0.4877486429613278,0.5601195606407926,0.4341102935184523,0.4773966621503004,0.4216169998574312,0.41786204544437355,0.3604625149036345,0.3493726953472747,0.3980129599829722,0.5872000602359874,0.4735201379382049,0.4845645560672508,0.4804823040793946,0.5884895726981136,0.6537085612972687,0.584963276326538,0.5205247267986302,0.512245591206293,0.586450355453339,0.6137194082970112,0.46501160746275827,0.3478371806321351,0.36914425301755144,0.484469304951895,0.7553653044814455,0.44852277256352396,0.3813024867964773,0.396789032364444,0.3752600413574884,0.3734990200144414,0.4187985621021914,0.40692547103561566,0.4285612135523117,0.4992887821029869,0.48865562652527167,0.5875126155818241,0.9455251320216481,0.7596869921354773,0.49812159452532867,0.4610042891945817,0.48144770414876864,0.41052727681563417,0.4279287836522319,0.42418132712546924,0.40618472213040085,0.40095486671659203,0.43015247086634495,0.6321960993036521,0.7688580560630861,0.7692722438219881,1.1431037867839395,1.0376123861226896,0.8747858888230765,0.6152325326459704,0.4860571908019647,0.4766212552502968,0.4579638079170868,0.4210966846961482,0.42312964777850254,0.44618101079843836,0.48580929540322665,0.45744970274655944,0.4538752752255769,0.5622459800331842,0.46775509608341004,0.5466954461809322,0.6618175750716064,0.6322896135435961,0.7323937633012204,0.7457569452102116,0.9036233834671765,1.2719798723537261,1.107838770104006,1.1943851294240753,0.9540987249061733,0.9469905956971529,0.9170826413552559,0.748247604853133,0.8273727026609122,0.8257450830960882,0.8111954443399083,0.797467168292029,0.84123478479716,0.7582780909878657,0.6747433872556851,0.6398103044810775,0.7042422771046145,0.748148752483816,0.7413909336042875,0.7635826961415265,0.8321492765211189,0.8085922548213326,0.8693755239740565,0.8985517129960561,0.9516915028592534,0.9988838959851172,1.1405273650415573,1.1776648212651057,1.134659100056255,1.1299463051614267,1.0497778061968435,0.9999626506174386,1.0291050531666186,1.0731218081365312,1.5080451807583877,1.281553992860903,1.2725237092891641,1.07200500903157,1.0378619249339562,0.9738235384394529,1.076925177163936,1.2027080961280252,0.9967284295519437,0.9731903740435655,1.2554110801074707,1.2567083479150434,1.0223630379022075,1.0640076248250556,1.4265433842193282,1.2091866265102402,1.0244349908881933,0.8519008994693261,0.8392139808184891,0.8321768656104989,0.801109906018323,0.7728284532461972,0.8267225750541154,0.7764563188053415,0.739763595917027,0.7818957727454795,0.7019564361233823,0.7123310566168145,0.7404764278949825,0.7932842445647177,0.82097916535273,0.8130019568907818,0.8604203242693177,0.9138225002545958,1.0562157858033334,0.9472336679512556,0.9459595942710807,0.921409079437874,0.8799063562480003,0.8357930312417936,0.8808558070750396,0.9363137678095758,0.8515140435849202,0.8638537366093682,0.9834878975988183,0.9636791557074171,0.8889054204076362,1.101593072007966,1.2558099377954501,1.0183514106442797,1.1165651004759451,1.275100141973479,1.4147100066391094,1.1867372624019987,1.029489367601456,1.5601738739324045,1.2529073945186302,1.2000407950915732,1.0787557444949607,0.9425775476765307,1.068973376460205,1.1768275546237137,0.9150565274679227,0.9012733879476418,0.8410163775269314,0.8316958888778216,0.6163880750907256,0.7068909056902198,0.5613747579872181,0.8518582823628428,0.6556960467766904,0.6548885675383382,0.7783443041691234,1.169931507101877,1.1112412415052308,1.2510959364234606,1.9295827189946206,2.1651421070753187,2.5373603876884987,2.408739604007345,3.2004864162790754,3.1316567040999237,4.0424541222016215],[0.6421334776960134,0.7067164357137805,0.8440358503753121,0.6792043001980372,0.586858369414851,0.46164850129908286,0.4176596163269063,0.4296647956987461,0.43812045671169253,0.3747178481688487,0.37079762968964103,0.4250606611449942,0.37667714445124456,0.3587144658886387,0.3773314983838965,0.36670948768482564,0.44158920906956717,0.43769497343663355,0.5662144834454061,0.49835674045917977,0.5694118247202172,0.6142662435066879,0.8152222195945308,0.843998326979595,0.7313099212344469,0.6114310200184064,0.5869868289131899,0.41940515693486025,0.44033999048649425,0.39786125297742336,0.4258905498946477,0.42366048569803244,0.39440928752705423,0.4050936974024682,0.39156366042312724,0.4132526050720035,0.4041042278676479,0.4503029497272549,0.4374366201596238,0.5235664109148014,0.5210343714605948,0.6102241425598154,0.7395784965126025,0.9583294869454696,1.510412457175252,1.80373824753722,2.091759042016441,1.2980681442197715,1.1194611629042095,1.3489271313322688,1.150814352817418,1.0318694467910126,0.945617943565824,0.7463928311108182,1.0293954844380615,0.7328728021053924,0.7226601197140619,0.9828284629556089,0.7883915413044642,1.0164267116483376,0.8268787439877902,0.7073417271889353,0.5540630553559243,0.6718621101979284,0.7262142481690514,0.5695618062309126,0.6659326224217369,0.5059051752133575,0.7144280992985879,0.6626713355107691,0.8122645291147316,1.068793509110035,0.7450014905157026,0.958244148868281,0.5667498209772391,1.1999091614340867,0.5181393474876212,0.4600817377743943,0.4624386331749985,0.545819139741933,0.5021808099142655,0.5638085537079849,0.7884692465528056,0.6183376536277794,0.6611945569677072,0.5133674784326548,0.49095092471516555,0.5551243989651138,0.454950619923895,0.48096613652924164,0.47018719940835907,0.6681561168233986,0.5539553303508805,0.4151621975794988,0.4059800377512822,0.48349257542255974,0.5897024977146178,0.42899929333143993,0.41456764273119084,0.5447473470241698,0.4371679016330506,0.646535365226911,0.4463032087491941,0.47876336639677325,0.5052524742965743,0.5149107514881643,0.6314308071982911,0.6362088735434457,0.5148096594911946,0.7383560896945195,0.5692372196052161,0.44991951516641826,0.4000230492818451,0.4148904730169195,0.40929339048097807,0.4237374591974913,0.4271096351417598,0.5284678214941255,0.6069864997799311,0.4685372653745156,0.510306255758968,0.4250282568212652,0.4364274304963196,0.3763044100846433,0.35566724011530776,0.4071295104385385,0.5704379712704513,0.4869095007080721,0.46031719106709196,0.4620035476881719,0.5043465439106921,0.5426223168170344,0.5197866543032014,0.49948985809860336,0.49299659422526765,0.5308447378010868,0.6575522788565834,0.4912315289328632,0.38234972095860437,0.404586483128271,0.582234222237026,0.8319600469066716,0.516521026507625,0.4166524629375963,0.43612269633258477,0.4012323858841973,0.38774628622927537,0.40639084063379477,0.38144712495463345,0.42295983832998935,0.48582888515001854,0.4694993599516537,0.5896885484960602,0.9648169738297263,0.7675285886329838,0.4687126796546444,0.4304517777097329,0.4488587352477223,0.39547803657894864,0.4139904544724298,0.44157407545362265,0.4015013648912125,0.43362587323531704,0.47591987774080197,0.6524857232511956,0.756689972681927,0.8077201718206306,1.205145210078137,1.0566194837753071,0.9140049024443784,0.6543570747213214,0.5291664113130974,0.5074093869139268,0.47670670213909677,0.44575882251998705,0.41582871248055214,0.45711755514395763,0.48246660261897606,0.48053785941644284,0.4471278387178978,0.6020941786263034,0.47037275229517345,0.541832370869471,0.6299747092871624,0.641950899750142,0.8028280026095935,0.8132542591139055,0.9588978483785339,1.334063200977961,1.1708510065530953,1.253239090900645,0.9841323446603818,0.9332514798874237,0.8863414934984372,0.6891789583079199,0.7550808707757887,0.7269091470596566,0.7189563029945535,0.7122826403610241,0.7650607945524774,0.6468017492578967,0.5833690624038199,0.5624290242432737,0.6170511248223531,0.6448965598874498,0.6665275756649407,0.7157502214089515,0.7737311088203397,0.7466787048165031,0.8329235320859217,0.8745411355481044,0.9268098873132309,0.9872657405874024,1.1062923622813399,1.1751575854394531,1.1047898420041873,1.1064316319525864,0.9877142094684651,0.9389852378931285,0.9572664982861572,0.9663045801597284,1.3740934904787567,1.1594233195531534,1.1958967336494364,0.9554286497590498,0.9015453202283887,0.8307835391880865,0.9238992165597775,1.0695442894203588,0.8741928216917233,0.8459955249798582,1.1257212577713602,1.1307084938703502,0.9131462053551048,0.9821363928298974,1.3179564479637556,1.1214100345138176,0.9685208850564858,0.761583887297017,0.7554774707509634,0.7384109793598113,0.7063876840336553,0.7197728902757055,0.7500372764545009,0.7721919912425463,0.7040343820623858,0.692550642850802,0.6480251162415372,0.6768267943793369,0.6639443875394349,0.7255402677737323,0.7837559917019564,0.7657941365223825,0.7914103293501786,0.8721469748715464,1.0514653472620332,0.9049061549218068,0.8946709622869706,0.8666272597583804,0.7915637475147247,0.7312754898603925,0.7690694497861814,0.8277753723615204,0.7698587365145598,0.750831118960008,0.8703935356316344,0.86779887847505,0.788165363897558,0.9837745808077335,1.1642985597037847,0.9371595684634447,1.0189712899812258,1.1592886259629098,1.3154247775413535,1.1017500377975047,0.958297078841503,1.5192871197336593,1.2393220320823919,1.161669012875578,1.0268885773644267,0.8877866185259734,1.0147918497105772,1.1049197627110356,0.8413535643514628,0.9022334981268447,0.8797188188560789,0.7867482703176284,0.5753590624458991,0.6212270438844184,0.5285919672809369,0.8487673863970331,0.6600661071450605,0.6444304008216362,0.7781224042114994,1.1542284994482606,1.0987128100627974,1.2955848393406635,1.9701294439996773,2.260844893329769,2.57771577293327,2.468588270328366,3.333155087994726,3.2680842772601113,4.2422529929741035],[0.6558028100249913,0.7112152450472192,0.8440303990406474,0.6718615354390379,0.5567792963644657,0.4349791810195898,0.37795417095999734,0.39329772919965716,0.3959876259740405,0.33286560653725655,0.33255757625138543,0.38769563681218017,0.3462313068193281,0.33611771105728994,0.36708216655904624,0.349994940051129,0.4183305694299902,0.4253067214858175,0.5739274552643362,0.5101898404962102,0.6130753248451601,0.6550979309251266,0.8914446617561247,0.9295493789617133,0.7761133853484679,0.6439819725142748,0.6246417267286914,0.42355987891254987,0.42336786690793954,0.38697783141080927,0.4089209169907041,0.4032793710086889,0.3630646754769604,0.3885414425764967,0.39465158130524813,0.42349152866035117,0.40160854825914444,0.4739579799005372,0.4726561123155236,0.5849468747352986,0.5758332450377248,0.6473080567962257,0.826885658365106,1.037335621902049,1.5953775258776646,1.8376780645306934,2.1983051894014425,1.422718511513594,1.1871014460872369,1.4708018769646882,1.2996182751118859,1.143304542219987,1.0574975622669989,0.837089662270741,1.0902235731466867,0.8342961994237325,0.8036235293359165,1.070386769723545,0.8386709016589226,1.1076158704011858,0.877250209000251,0.7380745654326557,0.5699813804541534,0.6891582813478486,0.7510950987830555,0.5968749400118761,0.6774217835645938,0.49396346822587583,0.675730125719018,0.6402984401122187,0.7869331578236601,1.0607531229077767,0.7153826571995682,0.9585407174016508,0.5504159776258258,1.1616924798354455,0.5257945079186779,0.4566047998173594,0.4845766919504606,0.6029545375884879,0.5126047408220565,0.59212212974551,0.7733053196948183,0.6998825232721827,0.7083024391639329,0.521586119286212,0.5057581800530128,0.561146891102067,0.47450911320282435,0.4815681774950772,0.4644950485102082,0.6972090042991593,0.5615925673884755,0.3977540358515438,0.3835644266039508,0.47548798708651646,0.6143092123174366,0.3953263104783546,0.3716084966808641,0.5013116588676655,0.40118822440400376,0.5952382518642846,0.42992150562459747,0.45580061355393187,0.48502831259036555,0.4893839844952742,0.5958801240416266,0.6517580843503292,0.49822936902903636,0.6988542019487616,0.5541973880134136,0.42133711578108685,0.37169720261107303,0.3838953733898506,0.3918000711291938,0.41844970617815974,0.42262670657721346,0.5150214769689322,0.6306903560768459,0.46196080170188086,0.5127123367795071,0.42902068305545127,0.43550866619352185,0.3649778601410452,0.3240474284173929,0.3842476877732402,0.5438270255267758,0.4787066521615543,0.45090177617855626,0.4614478341740441,0.5222844486488628,0.5716178592996685,0.5619675080659897,0.5170100770574737,0.5287951015665125,0.5425441372405418,0.6465792270507527,0.5021930751826873,0.38350968815990844,0.4105297442986892,0.5697354715969255,0.8806423571229169,0.5519611780747447,0.43534880361265543,0.46358795634831873,0.41520516583835954,0.3975156769028462,0.39832264565964953,0.36152045815225475,0.39050674173033956,0.44548568473413563,0.42509158813948317,0.5495567158044288,0.9075558347118365,0.7318703880853171,0.42511868627374594,0.391204639667862,0.4036731588121783,0.3705747041673505,0.4053486260955531,0.43882841753132895,0.41484445082642524,0.45733635232665704,0.5097151608002877,0.7215168185794117,0.7904037415597567,0.904608651688775,1.3036895734081106,1.1149890213365021,0.9149500529877217,0.689243409201082,0.5618060432492729,0.5434953271074965,0.5036744696669505,0.46919441767004383,0.42164702323081554,0.45567217365454166,0.4845241340241124,0.5085205396046255,0.4774004403335595,0.6500448900855318,0.4846686333067128,0.5980081694357332,0.6931305693730114,0.6896825306984489,0.8575534992695009,0.873469948364013,1.046636099735082,1.378171879710057,1.2436322634214765,1.3655745155237682,1.0578103422794574,1.010084713892718,0.9436284047199385,0.7577181215710669,0.8416917892274873,0.8141113298850783,0.7886756800602324,0.76866742223141,0.7857613553673729,0.6848939099985224,0.5783885928048422,0.5392198979907729,0.5973772024969489,0.6136914568779227,0.613061031237358,0.6432659711844938,0.7075612248075004,0.6674964654218198,0.751262372191894,0.7926409529095296,0.8436185297528986,0.8946037943531078,1.0394694891596026,1.104253001178228,1.0526400399066973,1.0361943812513108,0.9665474347798395,0.8902308325836286,0.917221403420062,0.9849672990062924,1.4606009903263255,1.2101038064258032,1.1194067105560819,0.9816987312510794,0.9599741956677785,0.8846810299380823,1.0526368082176136,1.158750990158351,0.9402041477729602,0.9355975268081685,1.2331508038076522,1.19384444506618,0.9901205982060886,1.1336286367347013,1.4103930628392882,1.2042041410928708,1.0561995118761993,0.8239914851518303,0.8296037069158336,0.8320506116210644,0.751412248515445,0.7598119642587474,0.766206632252011,0.7774745445029554,0.715882714133925,0.6822490167221366,0.6008201859903352,0.6086338243577851,0.6118574018010637,0.6422631618561174,0.6867916128000197,0.6710066898172954,0.7133381575510689,0.7722386443850906,0.9612326038419802,0.8214985215711093,0.8138855261707004,0.790016055059056,0.746699881497783,0.7030300841357227,0.7663561831637412,0.8140340536762518,0.7225089212843169,0.7543282591757446,0.8867257794751893,0.8641129156010682,0.8004867873149192,1.0541452160145546,1.1932356664932497,0.9327183769737585,1.0692217615607957,1.2775090298458827,1.3884885267625449,1.1397290911711428,0.9464799720152942,1.6406468817375555,1.2500077707943693,1.128768212128421,1.0145445231675037,0.8349511419691196,0.9492238552380982,1.0985555296294787,0.8183108615851992,0.8203868242399152,0.7713431323686822,0.7265617008708734,0.5763100773968884,0.618590041317328,0.4901994500214389,0.8173843856994302,0.5681233210412614,0.5622560669767781,0.6873391631231253,1.1003865660748966,1.0161621078930074,1.1420392989189876,1.8788162956556882,2.1838412735378294,2.448820903894983,2.3305656371365235,3.1624204924147046,3.077414074674541,4.079075274050326],[0.6240013698278637,0.6845465366436676,0.8658096720866328,0.6369917511859038,0.610798197406596,0.42511791442085256,0.3796199421070755,0.40147294114597654,0.40935220635545827,0.38103071868798394,0.3898011355012432,0.43129815525795306,0.3970539821118304,0.4059206452587325,0.4359490880940263,0.3998904750783901,0.47680466585316306,0.4915517261625007,0.6381461433320922,0.5888656182668788,0.6898183982646547,0.7450645487245714,0.9528806793030116,0.9950070311695915,0.8519520423551541,0.7330849992206617,0.7440167574024259,0.5069378417277668,0.4920533404319136,0.45624979061477366,0.4695846254642123,0.4542980125318098,0.42458638061722964,0.4521155220189208,0.47066373936652084,0.49888539813051386,0.475951702359047,0.5543678901298728,0.5844773284417579,0.6921667617441543,0.68977178813431,0.7653543195242863,0.9525778310479383,1.1527892077451765,1.6931857813644837,1.9097779048172605,2.2588846893304737,1.5278972238118946,1.2854596984563285,1.563063783045948,1.366569272623004,1.2492044913673104,1.1729983535133055,0.9284584512263431,1.1600917376363316,0.9222170840001475,0.8689735378608034,1.182372587362013,0.9138237259931973,1.1373865006109163,0.9318982551122366,0.8066180683929585,0.6463784340355343,0.7688008189517156,0.8237069319688516,0.6682799645794271,0.7252803266010334,0.556511675316096,0.7159247890546389,0.6733445317739234,0.8030469047091954,1.083916229797414,0.745568595004127,0.9984960683568717,0.5990048965001652,1.2136555036204375,0.5942673581634038,0.5290246893733739,0.5467847461498409,0.6655975695449321,0.5958394584880873,0.6880837548555163,0.8546707254927169,0.801655278744728,0.8281967900079225,0.6188226793675847,0.6084051463504612,0.6377311262895011,0.5611600756257362,0.545935407665499,0.5324771045774354,0.755941261783451,0.6266957063253557,0.4640986197117396,0.4394698948274089,0.5338872023452076,0.6739359894096101,0.4389108845896582,0.4023396478031504,0.5044335921132492,0.4506292799120244,0.585989539221024,0.47950884922823644,0.48367635363369654,0.5460397411940148,0.5530878590839801,0.655250355575234,0.665646745535875,0.5223195962947393,0.740029360237141,0.57354297046369,0.47102511512864764,0.39161408815775434,0.4331702269329702,0.4343697547312175,0.46318026989770955,0.48192887183751876,0.5668581538440844,0.70115706993632,0.5189223531330543,0.5633077822868013,0.4859339543244986,0.4858670966251775,0.42761605989891227,0.3797534732398167,0.4352291650323498,0.5501700020617395,0.533630254584822,0.4943206883713799,0.5290212458880273,0.5303162655368893,0.5615166825471304,0.6091093736282855,0.5805141922285477,0.5958571473813354,0.5651291004938191,0.7398364449765896,0.571879215836589,0.4798136732023483,0.4901681518925512,0.6696551111879663,0.94838419701251,0.6428844478166725,0.5329022852725291,0.565309535302291,0.4995687879851408,0.47199058396470545,0.4621195947990448,0.41692899092542784,0.42218740529161486,0.47384082221043716,0.4540915392556916,0.5771018752282083,0.9440985081193528,0.791572379423408,0.44268801065981744,0.41159976174393115,0.4129216258623716,0.407747979561473,0.4407946803377506,0.5261089618323762,0.4891927004407173,0.5494140799124999,0.6188201002859381,0.7969295459165557,0.8282265695170532,0.9949255997292591,1.4234203511054453,1.1885879356227353,0.9920882327055167,0.7755288418356011,0.6601593548360136,0.6476029884953023,0.6031656855487103,0.559816911812651,0.5031328025828358,0.5311890022611545,0.56248388890903,0.5934910745621709,0.5620862936799162,0.7443542898479112,0.576600334793619,0.6855050219211598,0.7712381839247112,0.7841158923605361,0.9903761416994719,0.9950474712023989,1.147285626967136,1.4723338459016397,1.3484228308661266,1.456899797246289,1.1545053409196613,1.0612911234293594,0.9879817049918351,0.8005965432268759,0.861392501090159,0.7965264738347838,0.766508596122298,0.750323228737271,0.7678103573945575,0.6322902137205791,0.5527714819840763,0.5320832426819071,0.5587494681218831,0.5567663853916038,0.5855799281244536,0.6283261334914593,0.6765486171520193,0.6381654033551056,0.762323679007684,0.801270225476925,0.8380247437806906,0.9270488065591821,1.0599871878216567,1.1200992017589138,1.0462621828508372,1.0210173559163334,0.9101013731091934,0.8417918239834331,0.856742403313035,0.8761627837239736,1.3153947011436347,1.092241640453543,1.0424382960292546,0.8863392530053382,0.8567944824225,0.7735212258217166,0.9459201328091924,1.045407128839212,0.8592902918554952,0.8668892518655055,1.1617510378313876,1.1063170301081262,0.928073306219409,1.0882658448367977,1.3333347742682122,1.1451753606064896,1.040623449894599,0.7899090110823379,0.8183789248340358,0.8186856769017058,0.7183492390803968,0.7780979239309955,0.7488990637171572,0.8261128743982487,0.72937904730994,0.6442966002404518,0.6132974330780441,0.6282318673492033,0.5773166922141266,0.611682452376129,0.6884852561184659,0.6612510852068877,0.6630105523596601,0.7582267553134708,0.9902823410951036,0.8082125596891587,0.782601535733269,0.7509130227469606,0.6711510701513884,0.6302374267014719,0.6864954112275685,0.7153390593075474,0.6644257130237506,0.6718769193220153,0.7836528264930024,0.7753196316852909,0.724377058173127,0.9531430091511034,1.1036904692965286,0.863069163474825,0.9788133620026976,1.1722834839981882,1.299008585006728,1.0663597282243846,0.8822090571428236,1.5853962112694282,1.2434304493343116,1.0872975257175197,0.9791386873483382,0.8023055600245961,0.9326172009770777,1.0709405192844752,0.7749167848044705,0.8297386182021663,0.8112407613045307,0.7129179956084608,0.6094721741040415,0.6008795702283086,0.5056807092196174,0.8459715614265323,0.6187393026045934,0.593527803630073,0.7227160521400271,1.113513658327337,1.0385332426879845,1.2010934659974533,1.9262313222870568,2.2927922463039425,2.4817654253469734,2.3903875183921643,3.297578861931943,3.2255627971282306,4.296467662237932],[0.6475421699973702,0.7119118455189194,0.9134447266538628,0.6686587766127954,0.6327192417627538,0.40647148990236076,0.3430474580896658,0.366865449740489,0.3587415182008837,0.3168056444153949,0.3218975340661978,0.3743191303057309,0.333190074273785,0.33062115437548295,0.3625240053069156,0.34066248844034974,0.4072101996219284,0.4117362378087545,0.541255991398702,0.4897798504492926,0.5685817891545615,0.6207865914693844,0.8239686143577438,0.8476632808950518,0.7372427441094567,0.6076300835412133,0.6106948225273552,0.41080836927860076,0.41658389848306504,0.38442702837976206,0.40615696808637497,0.3976629616446523,0.36331244879397023,0.37824165004953764,0.3909270747005978,0.4158063111047626,0.39845767179879776,0.46015509407698835,0.4662666690066143,0.5757560277004412,0.561539942627033,0.6330446104544857,0.7896114601318773,1.0041888055403647,1.540132861259635,1.816617718210702,2.114762412055491,1.350236050549805,1.1663714708452675,1.40668090546476,1.2093176196880633,1.090707135137722,1.0141388435422571,0.8086579663769123,1.074122267426996,0.785473549887696,0.7608743553023712,1.047385427591912,0.8181226126512362,1.0557764760086736,0.8532081150790519,0.7170901886125737,0.5569470754399124,0.6695020396669217,0.7291160057578281,0.5724531223861822,0.6537715133578257,0.48114879612594846,0.6728775315047196,0.6313498545312577,0.784930001705709,1.04623290531822,0.7011295971311347,0.9348319347093935,0.5350148507483855,1.151560022770409,0.5140055154899816,0.44762081822795524,0.4630677385200343,0.577279915177159,0.5115513172197309,0.5922476827381239,0.8010784473731527,0.696149906482277,0.7339092817022344,0.5432800226303188,0.5080646585384485,0.5590644266580999,0.46700672133467247,0.4697676213770073,0.44970693109364024,0.670901897699226,0.5486526311075379,0.39362048175176684,0.37518168145288333,0.4763459754460065,0.6193448307803135,0.38713199195916714,0.3622895301123087,0.47122898326425344,0.4019441174961787,0.5665867321372989,0.43767826835564555,0.44916303770278654,0.5166377645999161,0.5301481069632924,0.6533307292028706,0.6477711005870851,0.5208933068757832,0.7481552787397162,0.5662360357758844,0.4511733928729773,0.3602015226085249,0.39685654757188105,0.3766614705091935,0.41041939519480364,0.4111154117081933,0.5083885453589164,0.5933948477153884,0.4396746880883235,0.4908520971774548,0.4166851481069445,0.42250065933593894,0.34861943264060136,0.31738440922220257,0.40049400240826083,0.5455327974687131,0.5164214328338717,0.47748911998998933,0.49673930253843374,0.5071054448253165,0.5333033789021371,0.5583887777494261,0.5464040420400509,0.5436622795988877,0.5121767063065933,0.7165695531343723,0.5238688001645798,0.4105190793046503,0.41975809941284403,0.5823479456091096,0.8471130653120909,0.5283822084511428,0.4264885647505872,0.455400385191885,0.40892630125526064,0.392522499801561,0.40115193794339865,0.37022266919648866,0.3807552955943389,0.43987353996186607,0.40447383623942873,0.5387332775164764,0.8914611641608581,0.72855685622771,0.4021078236649298,0.3738354745017881,0.37902449461978543,0.3602685017417957,0.40637254650969284,0.4725522753410774,0.4153394172879918,0.4653377308855244,0.5245117077075352,0.7059542612604003,0.776814091704663,0.8874164372169937,1.2968405065519444,1.1135755764702449,0.9617646345222669,0.7196694461393713,0.5877514511254378,0.569051387507618,0.5274794051784614,0.488622956532868,0.438367654768732,0.47189308069024427,0.5015364664044192,0.520586160260975,0.4904859779459573,0.6685356555000463,0.5206214562175152,0.6146687768789049,0.6929403341914105,0.7081212240129435,0.8931507165265151,0.891363547091422,1.029521763304277,1.3733050395220114,1.2438218968242016,1.3327969378542075,1.0504123714802558,0.9763392724197294,0.9182146268529358,0.7295496966892265,0.7968821274620324,0.7462795488276751,0.7218601385597285,0.7212571808068842,0.7610660323893288,0.6178401112824191,0.5544935652630487,0.5388994422063479,0.5663147779676768,0.5595814995420941,0.5845052199426314,0.6316836555635619,0.6744502772784904,0.6350220483517832,0.7413791248355232,0.7819340465513194,0.8068737350560073,0.8866606625449323,0.9993297785765024,1.0720924403826493,0.9995407870958674,0.9883388461122989,0.8662075540663369,0.8206496159348698,0.8264887304043272,0.8246339403501219,1.2292827388328147,1.02371724996605,1.0413975496887804,0.8602827553656843,0.8191900785350724,0.7416979863704073,0.8784685301530789,0.9856659491627172,0.8223833397226541,0.8173488175058851,1.085529221168239,1.0526231509322432,0.8799453645337024,1.0028893666355403,1.2597472634721087,1.090466649428356,0.9868981656329782,0.7561089357394908,0.7855039223258391,0.7730811993983963,0.7030185816720959,0.7703406193958797,0.7565593515782111,0.8357353208359837,0.734370773985794,0.6497745539556509,0.6369725895969875,0.649226278436557,0.5940812112510899,0.6218357724133553,0.6935807744582371,0.6606539463552346,0.6607453922901101,0.7465268387004208,0.9703041089672053,0.7871953034808804,0.7594559824857278,0.7359205164982983,0.6603820370247383,0.6285767831347898,0.6746590089731584,0.6917430534889724,0.6605445036890982,0.6598329153275553,0.7527609882775134,0.7518151574919559,0.7095620780110872,0.8976154063437721,1.0543145299613816,0.8400710877221303,0.9318272824147293,1.0748919547120905,1.2125327375009252,1.01362730368785,0.8603865412644346,1.5164547141634575,1.2541219280244156,1.048133093986097,0.9401143874103712,0.7811936506970902,0.877503445954726,1.0170882970072224,0.7568537227948413,0.8562526484227218,0.8662618927458415,0.7310981518019721,0.6142470691398008,0.6026454632963211,0.5103221209183617,0.8688624834863232,0.6177700650147121,0.6017855788453688,0.7099808386819534,1.0913651109869449,1.0211781266328859,1.1705996923145114,1.8890927888189712,2.2626447823406286,2.428603784428483,2.3296628447476873,3.2150378100439343,3.1656330967443362,4.24897790411741],[0.6575904259754677,0.709401872441036,0.8864970193224688,0.6781621906940936,0.5780341608132825,0.41489089374497345,0.3563702874092524,0.3737777150132857,0.38066310010898186,0.3325220591104055,0.3413663130401032,0.3955270862821693,0.34867698132290526,0.35775868321684656,0.3944521973354952,0.3735308958746985,0.3935712486967648,0.39708425140768483,0.5235248631466133,0.4539803925877636,0.5540489961361924,0.5763519231694835,0.8270931078189101,0.8576596164804241,0.7124834976731184,0.5675542597841609,0.5202230619101409,0.3722023380214078,0.3885092080477795,0.3636562352801717,0.40651022740275994,0.39563859087642506,0.3642425857388745,0.37334262604427076,0.38482881961883797,0.3960534983515474,0.3783451576557665,0.4402429836906156,0.41482600350201,0.5238984348813526,0.4974818965669061,0.5465079047295756,0.7168579253838406,0.9399570735420778,1.4808292317342364,1.7595565070574521,2.096336689662923,1.3004113755960713,1.1007241375649166,1.3709964112626787,1.219801243683967,1.0528178673145634,0.9575270518790572,0.7647960014415394,1.0542024143797155,0.7612825024510852,0.7456899802824734,0.9723737408437038,0.7717418762683939,1.0700113941754488,0.8421293552667238,0.7050149103268831,0.5390827251580554,0.6495696478849855,0.691185759173477,0.560585183197085,0.6447519730735868,0.45580034468236824,0.6533005157752586,0.6140407387744378,0.787069587799788,1.0516960193858955,0.6819361031829639,0.9080935517221425,0.5180562587654671,1.054469281699125,0.49860836774047457,0.4426904486601514,0.4767016532578703,0.580232653109702,0.47372641578161045,0.5467529246597206,0.7429278067445435,0.6860726882836645,0.6546625090342222,0.48138322552750096,0.4491711204287746,0.5233002024143932,0.4339235824432725,0.4618900601987688,0.4409284115900641,0.6776370416428396,0.5586464915691316,0.4026947834837588,0.3940656679687176,0.482560368635932,0.6383042316407748,0.40991609999878104,0.3872044443394968,0.4815839659542687,0.3960188390665405,0.5708076316970329,0.4069313148130529,0.4399583402840545,0.4846461184442159,0.4907778413711852,0.6056715086197164,0.6546127606494547,0.5022288458452847,0.6658670650266737,0.5574683984514148,0.407118101425831,0.3578242182997334,0.36237315080470645,0.38185678573594806,0.41524159703152763,0.4039656820031167,0.46724913897054154,0.5598961400438136,0.42775405432515595,0.4921087712163353,0.44679114052422697,0.4435365659947119,0.35591567338110963,0.3259674961463375,0.36033070096404607,0.5313739294500102,0.46613277032279754,0.44139447131724663,0.46369050413257373,0.5236099402349697,0.5726534469385989,0.5661189668173531,0.5200196584448958,0.5262281976457234,0.5178316619237748,0.6327725305687433,0.4633250392084223,0.34335488525524893,0.3762980428094975,0.4799447553772994,0.8110849564466737,0.47999350497412235,0.3846115320247247,0.40230818447943006,0.37548672404103467,0.3716398043374598,0.3802551488646726,0.3491928144708413,0.3701149111429673,0.41825761375292153,0.39791676864439574,0.512976649178747,0.8400546629497126,0.6814057892591319,0.4087764825797671,0.3834656364009747,0.38192439996681693,0.364251456772957,0.3979591402279404,0.41888890791138683,0.3932970476578789,0.4115358689591354,0.4641771198539095,0.6854140938259315,0.7664913070784738,0.8658918636578851,1.243364533861772,1.0915333930647773,0.8837403388406602,0.6625684001470198,0.5221475359694888,0.5100720623492643,0.4870838385216072,0.4519676161798144,0.4113207177978127,0.42952215627417417,0.47030711719516216,0.4990737889280881,0.47572315307361224,0.6345537945536407,0.4887304326126901,0.5981675956584812,0.6931859948451027,0.6753528089362596,0.8166984339592753,0.8061444617014428,0.9780223591062123,1.3038043712379939,1.1800405318137808,1.296081915825972,1.015662719876254,0.9929396787123809,0.9474306392211215,0.7680689632575423,0.8463079341717116,0.8157641710476784,0.7895249469823984,0.7657407638764883,0.7782796323445214,0.6689886478947453,0.5648889255049763,0.5259981812901494,0.557367568521248,0.5460048403969823,0.5416758927234842,0.552176003675331,0.6069277342028091,0.5529213027541555,0.640867234309647,0.6729290551823957,0.6948693280314198,0.7563326190464237,0.8956094408474887,0.9511158688907937,0.9155056672690537,0.8622444750901536,0.8031005903739246,0.7397101735361544,0.7517455998654604,0.8121400667207411,1.2556104636726368,1.052413011629842,0.9544781010626131,0.8845555799925315,0.8798443461211043,0.8111514220521041,1.008972572017253,1.0777305068526128,0.889813203833301,0.9077244590169914,1.1908440107343754,1.1240777931116908,0.9538215987416712,1.1062072419129785,1.3496397795334911,1.1601029930963764,1.0481481927922542,0.8080671306427581,0.8415303062920542,0.8420047194405558,0.7391812919720576,0.7793437120257934,0.7581216214838575,0.8140254748795814,0.7320369954808272,0.6612223986999413,0.599920210754746,0.6045135925739944,0.5593574841125174,0.5545529167994111,0.5937446790818034,0.5644553549836284,0.5869199267217476,0.6330140537471004,0.8450054908853345,0.6780071714087231,0.6515798242842082,0.6361470522057239,0.614250718661412,0.6151026112298295,0.6891720043076688,0.6797557227692104,0.611313557765416,0.6720857599814297,0.7629675713725496,0.732558803615414,0.7151573516034615,0.9445686515400288,1.0495283861489564,0.8169202605098757,0.9658413036581498,1.1502783624286643,1.2351908790554993,1.0126953104981828,0.8224346764830163,1.60407121577004,1.2513617264850219,0.9957361292627416,0.8836221309486192,0.7013954526291653,0.7997906112151959,0.9888195703469935,0.7242799502919923,0.7358891370414192,0.7241212280890529,0.6676991918816789,0.6565324669002294,0.6124559189412038,0.4809457797367583,0.8034318618577572,0.5278315865140915,0.5332449644341459,0.6590238892088903,1.040400901074142,0.9225005104183756,0.9727535032549147,1.7566559756458895,2.0997337659091015,2.2528339524003447,2.1172559314917185,2.90965829613141,2.8533536538348927,3.9232652838576345],[0.6305604858186282,0.691717831492427,0.8962362224523526,0.6522188600579326,0.5916807827794407,0.40922670440337766,0.34621809296227,0.37004755707376663,0.35212194206104463,0.3339872160465076,0.3489163607922748,0.3972625882586269,0.35400819474279677,0.38906887931715495,0.4303933613926752,0.37799062171011544,0.40909275941265366,0.43959863718446507,0.5893143974360369,0.523286636123017,0.6583173298404207,0.6807038669160707,0.9293265251382644,0.9680847445924232,0.8002461429047579,0.6631176318292534,0.6227990877775176,0.43205144079361213,0.42298599641296525,0.3866093710383526,0.4300758462789669,0.4047371034636868,0.3727120392554961,0.40950730081409187,0.43106624429875545,0.44876164428773063,0.42043315865010367,0.4916448391911707,0.4993932458347255,0.6305172057504859,0.6073431134232384,0.654257523390206,0.8615459520260382,1.0594100617439237,1.609411722336688,1.8284252708200304,2.23853591702653,1.4774211037643703,1.2068749499770886,1.5285457468884711,1.380480286700443,1.2151467991416325,1.1252656282645983,0.8977740538975548,1.1630307457282802,0.8944822577493755,0.8452656719888099,1.1033397574841863,0.8541411353207037,1.1674589397814512,0.9094619757144206,0.7634752918771905,0.6055263689153485,0.718179681782601,0.7585965325883467,0.6342789853788684,0.7097240190483027,0.505884459001839,0.671358120424148,0.6614028051516964,0.8156355101254004,1.1161733439147834,0.7352633328351937,0.9569188872013608,0.566645394198236,1.079572307951503,0.5501302117544056,0.499766938077054,0.5358596196765595,0.6702621891442696,0.5421117166006986,0.6266836878814124,0.7762411537178371,0.7946143256518586,0.759913249245456,0.551195674897264,0.5223786036712191,0.5694407630171915,0.5031681092267593,0.502352526088655,0.48175611310301775,0.7291940800199747,0.6094539195529178,0.4362943321787275,0.41701554170913996,0.5271857885064332,0.6962980645877175,0.4138189650474737,0.36732668087566755,0.45689964992406934,0.3970400321558243,0.5310099977081671,0.4344460172534495,0.45615891436000483,0.5181923650072122,0.5297119256051613,0.6412585169003571,0.6905793333077439,0.5328230453370395,0.6826250998021292,0.5638521723639094,0.4218275975899154,0.35775607324561004,0.3693506536569163,0.3867993387093367,0.43642717297795347,0.4351297644171668,0.5018655033272114,0.6258561573330056,0.4785804859983818,0.5373286242569644,0.4839814018395407,0.47245695493076445,0.39450772153914915,0.3491193573633274,0.36439952486017807,0.5113373464274132,0.49998006929183975,0.48047896251604433,0.5186597697180493,0.5739999870869648,0.6235239873854901,0.646336393245694,0.5864345031853591,0.5995271463994913,0.5352315481046496,0.6895131641396567,0.5057519608982812,0.37796899636644815,0.41537929132031126,0.5404983429938647,0.8906672981918586,0.5617485674475374,0.45113222467897995,0.4847369393145753,0.4386760843955747,0.4170361632029478,0.4013814170549787,0.3631087097842541,0.38747087223029725,0.4266011675386836,0.39062191949752856,0.5073849787620531,0.8356730097160069,0.7038892741205055,0.3970009176253286,0.3714825701847578,0.376615158293185,0.35729601313313086,0.42769366495824407,0.469674855682732,0.4416468018610401,0.48727942093025767,0.5535950337999984,0.7889642630553888,0.8084785135616415,0.9939029818608518,1.3968716793814127,1.1840362177050117,0.9203238614809994,0.7431221110711841,0.5944143302265059,0.5948402187321947,0.5570214932134434,0.516973346615309,0.46077695296377597,0.46980583210066656,0.5145589179717772,0.5731182736473371,0.5447764117354025,0.7204601408281044,0.5502636996330579,0.6888167813817925,0.7962842849459749,0.7718546899444282,0.9425346329917643,0.9272494890522932,1.1152740923807294,1.3974563794964574,1.3106070248175499,1.4617906805780667,1.1407780810934083,1.0960321726439175,1.032571293552002,0.8656882872215269,0.9441156635313591,0.8985801302401321,0.8598741776138601,0.819891272849945,0.8195484232072618,0.7107094655663364,0.5974832023237827,0.5506531447314003,0.5708254820267513,0.551450681570507,0.5419593031962483,0.5468376834491189,0.5977498398058136,0.5439473663492449,0.640805507167057,0.6694775113111382,0.6876652727592555,0.7596142967377661,0.9050734499333777,0.9578629370663476,0.9180536520549227,0.8517234476100388,0.8057962084694246,0.7314740161680678,0.7446655810324003,0.8233071465628764,1.2790140696357644,1.087417984540879,0.9353918636182472,0.915678079314892,0.9278976184462676,0.8439276097912953,1.0892825454233355,1.1249084681094872,0.9366561226706649,0.9785591803322896,1.2671043191204563,1.1604625644856499,1.0154994705600213,1.2307563427856691,1.4195844215558535,1.2121308915266813,1.1281844041865223,0.8645607018241465,0.9234223628581346,0.9321562722892636,0.7961617279843687,0.848134709495926,0.7999022903325315,0.8766131256869779,0.7828422609064253,0.6885151611031338,0.6319102493871166,0.6174677768018434,0.5671309991932343,0.5499259016716334,0.5888598729570709,0.5536625158541186,0.5733630129995543,0.6143830700657611,0.8401917593360979,0.6679057891718756,0.6388938181736658,0.6225737542919222,0.6106279805970014,0.628258188885218,0.714034763200505,0.6813761559247381,0.6043255540374536,0.6960466537592973,0.7779906318722085,0.7393649467980989,0.7314077192687978,0.9777236765584232,1.0538853668098274,0.8196896577318806,0.9895522622273848,1.206470436578372,1.253687713696833,1.0256182448016238,0.822495513242669,1.6496559792899446,1.242026235459189,1.0124940686796715,0.8881201715633442,0.6960185142028402,0.7949137608809399,0.9926417779708687,0.7240551360556208,0.7247222283329237,0.7016823311499338,0.6686089678897182,0.7035960125109354,0.6382283912332798,0.48504133509693,0.8245909231733661,0.5328936779496976,0.5415793773932395,0.683215162638189,1.0433214760534524,0.9334007614233506,0.981979896143353,1.7793014639164777,2.1589192566559423,2.2674893879335714,2.1479853354057634,2.969863480536129,2.909779879243104,4.021217561813153],[0.6534420854416009,0.7078919613351715,0.9600844065485196,0.6436809827338879,0.6577681873442263,0.42740283215903296,0.3626812597835109,0.38824098132197615,0.36811864248607257,0.3600783491374498,0.38180591357245003,0.42591353356299827,0.3772050274892369,0.41956556308400356,0.4575425137571803,0.39459845151826345,0.4200202872904483,0.4409608508095487,0.5723230051326145,0.5123474202167101,0.6265575235170061,0.6561791498249462,0.885878692600965,0.9114732634593132,0.7719932640526661,0.6336545307164383,0.6196235254375924,0.43015764695725117,0.4291646806110393,0.4042784621135978,0.43895186014097576,0.41935938436665543,0.38853412162022155,0.4215023413250969,0.445186344464915,0.456613158303645,0.4395047852026718,0.5038647674934084,0.515791300274835,0.6502148229716455,0.6228837819524078,0.6579720532839423,0.8589498446533769,1.067367943219614,1.6079417523811546,1.8562484872545402,2.211628320200043,1.4655305544482644,1.2341016082173624,1.5340038683844537,1.359804852912869,1.2270670943932978,1.1336025047565965,0.9086422365308854,1.1637433411443114,0.8826406404582595,0.8284589560657686,1.1116754017022943,0.858760250097125,1.1298757018264594,0.8883182816790808,0.7472529106778989,0.5933985698691736,0.6924977480363852,0.741973395911256,0.6146190445493404,0.6846227457651847,0.49371622866274445,0.6684283055917234,0.6612361289195308,0.8246613036867289,1.1139374345663438,0.7310325642579562,0.9425416600939195,0.5570361752908123,1.0589062753314966,0.5454815687469035,0.497350234891883,0.5353308992970973,0.66907916536278,0.5578820607187411,0.6418101376648642,0.822926451561373,0.8252209611082506,0.8118743024415411,0.5851448836254122,0.537382081816697,0.5877138742881203,0.5078941753232802,0.5063195143636112,0.48004236361036395,0.727775239830918,0.6147563771658205,0.4509850165680831,0.43492713686680895,0.550307224977192,0.7288547580299599,0.4347971724747581,0.3873688895886798,0.4678614537115761,0.4197341437122963,0.5243677732638846,0.4611924440835894,0.4839042839943502,0.5610847665481343,0.5727057165041473,0.6826963162028311,0.7059372467013633,0.5642029717360663,0.7270332560944887,0.5855205195593568,0.46276579275144164,0.3751615043694348,0.39431319145529525,0.4028325532133147,0.4437245073910478,0.43677055116129315,0.4933249301741344,0.5981456165754988,0.47345933985373634,0.5398453386951158,0.5034030895183981,0.48831374737836064,0.41522628349367324,0.3811613123031369,0.39610770774917226,0.5195669656542424,0.5501282064003886,0.5265244170224271,0.5689518899486664,0.5759588968096916,0.6118062389000535,0.6641474061268866,0.6284620721199649,0.6420304061224148,0.5579232006715333,0.7682075210222662,0.5552193039490769,0.42556076110644153,0.44922818924641955,0.5563890787098936,0.886270276461194,0.5564346311043957,0.4629272231224164,0.5030916210719322,0.4590876736962442,0.440522048354521,0.4283349403511294,0.3939697405420294,0.4135049471057161,0.4386690312776866,0.40660209674930076,0.5225914491085071,0.8215558579432821,0.7191065474557584,0.41730623879505285,0.3938162274258532,0.38686125367005425,0.38362467192673355,0.4581614288008757,0.5167746039095017,0.4705140905834921,0.5161626672755468,0.5866203638792902,0.8076905403927273,0.8298037462588863,1.025099466800141,1.4417224900430892,1.2244584572230173,0.9960288417183387,0.809654166556881,0.6519903393894688,0.6460699602933457,0.6062074323826891,0.5595917446719499,0.4957074207442438,0.5025921286851359,0.5533843296698032,0.6153827260739461,0.5858779195362485,0.7699225781357267,0.5991092531622281,0.7296655525997048,0.8260937394815836,0.8180455313500717,1.0020802365342663,0.9694860918231264,1.1426202110764374,1.4478817894490297,1.3433762399831615,1.4680774244503993,1.1802994092935353,1.094626454656224,1.0300037492398133,0.8587714933748047,0.9133354888616652,0.8357474071847079,0.8039155304126953,0.7802526001228739,0.7955783598289705,0.6649742667081691,0.5873349260013749,0.5538465607246333,0.54036052051425,0.5176638866219343,0.5305118782776232,0.5441538090688174,0.5831696124747837,0.5261281506740877,0.6319702390794321,0.671764781243126,0.6743155065927866,0.7532312236732607,0.8847423776294712,0.9519936222285126,0.8978873828110095,0.8348464502418548,0.7711608265080276,0.7064672029599276,0.7076884675240324,0.7453239679211949,1.1667450205710337,1.003011197604167,0.8705586486910072,0.8199590281060753,0.8306789926488831,0.7552118579657771,0.9784064578656853,1.007750835201066,0.8475159137268722,0.9029810609501754,1.1556446149203552,1.0430678572134076,0.9306808131093054,1.141598996649991,1.267442709913638,1.1155441363142378,1.059514903879888,0.8082542762277451,0.8886644968007655,0.8922813709737994,0.775409475266022,0.8785207468064363,0.8200079123125357,0.9266631681163195,0.8011341220436418,0.6773784051426653,0.6611552930690232,0.6271710675048111,0.5620470213268343,0.5462553222072771,0.6018195488633638,0.5594311514887996,0.5574451514041939,0.6109046300433277,0.8433700137460407,0.6456649970169575,0.6112315626954186,0.6062958301953829,0.5700208731507949,0.5861807844241675,0.6608323032706978,0.6119500382011027,0.5767860668152791,0.6294107334726241,0.6911078678125648,0.6686901835108117,0.6728290601638388,0.8685487693344043,0.9703845701678319,0.7642264019418715,0.8949346339990387,1.0623446408655493,1.1458175664752348,0.9516437353500519,0.7977433797547859,1.5965464038633161,1.2998415386303712,0.9720445876838633,0.8603632404300576,0.6834413862966944,0.7607155930570149,0.961241882522942,0.7052211594288874,0.7550160159326205,0.7703284516347136,0.6713371150724254,0.7371292802786613,0.6219376820753831,0.500787802308926,0.8684763549236023,0.5738392839044272,0.5853373494126729,0.6910709367303893,1.0160808012554683,0.9323152809778512,0.9749673075457838,1.7579226642399053,2.184404336114137,2.198402250608742,2.1073202652603524,2.96332652216415,2.9474902575317614,4.137888561293347],[0.6659578590169605,0.7112441567782611,0.95555743951184,0.6293360964102851,0.6156104793901225,0.4746112637371867,0.4433677510528235,0.45889758920533064,0.48491995930077053,0.47005589440516793,0.48932934444485493,0.5150146367948263,0.5032213403413613,0.518306130363562,0.5431992187573056,0.5339843517110918,0.5322218313489394,0.5368833898789362,0.6106575020873185,0.5401696211492873,0.6163635922479517,0.6017901961802096,0.8258562828415503,0.8491446401251946,0.7194647871940372,0.6078250371181736,0.5331917056787614,0.4776889176280846,0.5041722103311026,0.49298573519454214,0.5297132001477813,0.5113676648943137,0.5032851094451295,0.5062345677565881,0.5133589638659201,0.504843038519121,0.5016489895682752,0.5440739980384369,0.5061300473225434,0.5879112168511454,0.5445566483902105,0.5735082111788858,0.7024164249894879,0.9065742417001471,1.403546555210763,1.7214047109501678,2.0097503026517867,1.2172854880096446,1.06360436584474,1.3090344028622067,1.1853995145592988,1.0161869228706233,0.9394883191563418,0.7735352132235253,1.0721713246487363,0.763131543918678,0.7692446099326338,0.9645467320000508,0.7980638877339074,1.0795988800698122,0.868828165480867,0.7515172552468647,0.6015710315616257,0.6968073015615591,0.7222993999307011,0.6345987296647185,0.7301961890151375,0.5635830351170302,0.7433546629393168,0.6904390065009626,0.8671330316800746,1.0977888822314312,0.7432087786590789,0.9249139058618089,0.6143405992476879,1.0004916328965652,0.5857197369341903,0.5391691652969041,0.564022180678431,0.6441439306276403,0.5499636233934704,0.5968529950880557,0.7874423391915643,0.7334272933086459,0.6718906697189352,0.5523705542370221,0.525443872640819,0.574954513200255,0.5253140862579163,0.5708840923998092,0.5506440855162934,0.7497197766090972,0.667380624915895,0.5433166614577432,0.5327714915173706,0.6009427123278702,0.7469572655387744,0.5332336656141369,0.5064883449257085,0.533387925058233,0.5024087957323256,0.6257795881083995,0.5172937719630399,0.5297803114091743,0.5499573188533347,0.5564484004477764,0.6563937217818926,0.7177834887901762,0.5767577762824586,0.6792930719026385,0.6144832643041537,0.48592866320722633,0.4694765934117981,0.476851426096545,0.5230676096971588,0.5571954406858793,0.531921367707047,0.5778177690758336,0.6486726428582197,0.5621063780994235,0.624865477231934,0.6061801206901268,0.6082347649075536,0.5143184465540042,0.46847291016963044,0.45153494253348037,0.5610863737565632,0.542181765105287,0.5226587727022974,0.547514266072348,0.601974039294441,0.6394045534257926,0.6308413244417229,0.5933525445211542,0.5961011992992997,0.5817193102273115,0.687635711180609,0.535812299310087,0.44020182295179505,0.46530982260947634,0.4985811483872701,0.8160227326974536,0.5397329009570139,0.47043508070718804,0.470865302254139,0.48131875546790664,0.4917470969660636,0.5017599707270394,0.4550414078924507,0.47916951599748386,0.4997986706122716,0.45746829915189574,0.5666630841280136,0.828076586980893,0.6479172571860359,0.49804076057981267,0.47978284956588274,0.4784356871591602,0.486037064076793,0.49502765013984945,0.5024280157329135,0.4998444933285336,0.48470114903292805,0.5135658912873396,0.7156185205284852,0.7962734786286789,0.8835958348274183,1.2232668118090566,1.1191878993755826,0.9186184487379645,0.7018914910996045,0.5670061158946521,0.5630815994822177,0.5511235544440057,0.5204514791115056,0.4960810766882985,0.5054845754071688,0.5446076100661116,0.564195286811852,0.5565554777498306,0.6840179208838201,0.5600595669240606,0.6669909996483349,0.7477313675562034,0.7425099152983751,0.8540104374063303,0.8227387330729053,0.9791356489028369,1.2754616358681483,1.1774077643613516,1.2561802779654818,1.0318561437624714,1.015151273615649,0.9713022390873767,0.8007454954774174,0.8643559441272326,0.8353639746438255,0.8280470862516772,0.8035463418758358,0.8351647168108844,0.7046938700558503,0.6216613796549517,0.5778183593580525,0.5605671220415744,0.5360354489401901,0.520190456978687,0.49000003590977215,0.5487547116983572,0.49070784410664714,0.5312396951606276,0.563475971182441,0.5666822306985033,0.5969315348213241,0.7111130879291693,0.8000362546807812,0.792004899622308,0.7087132136702937,0.7210598684838885,0.6521484595226099,0.6641874403366044,0.7407870071532997,1.1457185384468307,1.0064360252260443,0.8427746852439182,0.8395707972290726,0.8576036269037416,0.7937550603931074,0.9999332807350039,1.0202902034630794,0.874399764518461,0.9219209436337407,1.1466664995203595,1.045021018119964,0.9404421197166757,1.1036963188391684,1.2479867198101713,1.106581622358089,1.0450187843105485,0.8243494405773821,0.8999852306038363,0.8978924422378456,0.7922037971584465,0.8742109637821917,0.82549459700114,0.9153024804150013,0.8166455821284259,0.7189205426055963,0.6833732831468985,0.6603398562982827,0.5793542053225651,0.5403405441544517,0.5641618021191908,0.511173176998676,0.541942600476388,0.5458329574061151,0.7352838919061861,0.5607078876092401,0.5502412378363752,0.5596505079204643,0.5807660967191114,0.6230834539671952,0.6978527378230324,0.6241915388164327,0.5718764702124096,0.6601545431375765,0.7019105198091947,0.6633551518259878,0.6846985459168311,0.8707775875034577,0.9421875740095226,0.7535597030727562,0.8872042326539854,1.0338148313813524,1.114896885221265,0.9400288590738686,0.7983822288327512,1.6046853278259614,1.368482132444152,0.9484257179777678,0.7832480748345487,0.6042595416363317,0.6371370009716357,0.8617754287199425,0.6599424472816512,0.6992502490494623,0.7215947465253281,0.6567702490568602,0.7721528137260276,0.660963447020745,0.519187097360973,0.828767989339415,0.5347820241878144,0.5803229472578382,0.7099708471496329,0.9872780412063186,0.8442193476436756,0.8176698594032552,1.6207650490391496,1.9900211988666152,2.0039155028478604,1.8878780121025038,2.640587656264585,2.632440278526142,3.8294011031788973],[0.6599481054929287,0.7083952508018013,0.9377689696633856,0.6400155922428024,0.5977059965420837,0.4518589797208742,0.385228747364567,0.40979963992373025,0.41697597515031004,0.4081490027088856,0.4257415007982209,0.4631210703478187,0.4352712781586975,0.464533285041856,0.49863923095236795,0.45504207887617293,0.44996413857950235,0.4830764751081795,0.6025658886652663,0.5294536454277396,0.6606925379169365,0.6456785294975689,0.9107592315074876,0.9562197184750842,0.78930981740328,0.6500590504787532,0.5357442801248418,0.4510030976591185,0.4445981424011871,0.42923572778789604,0.462033334283638,0.44458270860905397,0.4354098448540175,0.4518543435887214,0.46705888663770373,0.4648007751855487,0.45612372424910214,0.5059126377788893,0.48311983033401973,0.6062298026480794,0.5544254328544593,0.5737979651016782,0.7467205204519874,0.9428012368812233,1.4697549336381621,1.7255788761074125,2.137188651858139,1.3414350787730522,1.1065064491939773,1.421171310110727,1.3226783359529475,1.1152685233264348,1.0231276246649592,0.8381991209189954,1.1381415356438822,0.8550522349580437,0.830954126852435,1.0028994616798714,0.8048031102350418,1.17429617720464,0.9017305811763906,0.7669915295033752,0.621206636080688,0.7234959005917988,0.7351103756661628,0.6512026145808177,0.7353115068306543,0.5286959352030652,0.6925419050990089,0.6839644124982297,0.8690033914725915,1.1336296884392865,0.7488901866831152,0.9357795591652246,0.5857305734784449,0.9781637538651516,0.5632904872224231,0.5244350421337916,0.5782101433974604,0.6803043472507432,0.5262550404292731,0.6063931331051869,0.743988657155446,0.7724288845229764,0.6907983933958307,0.5294657513571578,0.4989507653175884,0.553327267206009,0.5035490407063402,0.5288791745506078,0.5037488128322659,0.7273526830996244,0.6350203097057476,0.4829350629488096,0.4770609945015944,0.5709881724916295,0.755320443673089,0.4796218767647006,0.4381974967030727,0.48236066234422265,0.43939791365083286,0.56484586842408,0.4703503718839472,0.5023642792547409,0.5529291099275802,0.5651693218516877,0.6982991741959814,0.7530610210526596,0.6018376946555355,0.6738754527163288,0.60372499066394,0.4533051536779297,0.4091768899633082,0.4149781475566591,0.46971880196429355,0.5069302684263223,0.4974027154805749,0.5285455593994525,0.6186802227363406,0.5219689109851975,0.5916353397450392,0.5711679700428048,0.5675347228114865,0.4602107051311118,0.39877833655412426,0.3937637441262822,0.5274718273373992,0.5327002967437505,0.5187677333002986,0.5676601332623229,0.6382922982304141,0.7034805170409699,0.7021761592208143,0.6343992536959452,0.6305249140679633,0.5554350944610009,0.6844520860187622,0.4891671919980395,0.3637367889260931,0.43389850689596393,0.5089026032703162,0.872746779972855,0.5581394343093479,0.4547493252380718,0.4654133563357154,0.44377254823918805,0.43743319186896007,0.4379633900810213,0.4077773676838542,0.42573332826593835,0.45946578078043504,0.41143005275717165,0.5319991361674381,0.8020580718678495,0.644581686730079,0.4446636794560476,0.4235554638587448,0.425822035091471,0.4248673820465109,0.4907667422581216,0.4835472604656536,0.4685626138564429,0.4805088233139046,0.5280309035714903,0.7648101516366371,0.8121420874834577,0.9524402799326694,1.3076839606392654,1.149337544961116,0.8526465277070014,0.714877243714452,0.5656054495925541,0.5767089938933603,0.5557589635078163,0.5269599330979569,0.4960859316498065,0.4892651592571472,0.5480673224951512,0.5849006473341504,0.5746574844631842,0.7024052788065172,0.5745454892688724,0.7163965333588573,0.8149315427679893,0.7681980800549444,0.8909108556275388,0.8572700583276782,1.0546266889271556,1.2962441831114468,1.2409054914186124,1.4073640600725192,1.1037942298536094,1.1148422440136776,1.0615524514111991,0.912675402763968,0.9968750591429705,0.9713848112735851,0.9263602369950524,0.871667205710595,0.8726804511109144,0.7814424641552986,0.6723740623663492,0.6002705727424661,0.598612589135062,0.5823059174604854,0.5532171529238359,0.5162627723489442,0.5665176268945333,0.5184657718032798,0.5548940720949413,0.5788229287983616,0.5835311432955674,0.6243011500480321,0.7561252759809449,0.8207407196868637,0.8100334026803023,0.7294508541804371,0.751405259768432,0.6685783013916655,0.6885281988284354,0.8041122929847504,1.2104524261650917,1.1188181741042968,0.8792687766069414,0.9333002638859172,0.9683259192636757,0.9054511615518877,1.1669697372112282,1.1487323600345654,0.9790778518172017,1.0474196120143313,1.3000480051108347,1.158381394140419,1.0582606201814098,1.2904875817689228,1.3968223270393252,1.2221721703129353,1.1646835906483262,0.9109351285686591,1.0040592609650159,1.0179870715001762,0.8733876596145063,0.9480471583414476,0.8888465657611859,0.9716785260509971,0.8742087574219849,0.7977713858946506,0.7331396185279717,0.6830962740105244,0.6239841842453071,0.582534602315878,0.5812557443167444,0.5402951546679124,0.5824908151962666,0.5648575459569477,0.7474766503126046,0.5931141675244734,0.5787061005415539,0.5795920380607031,0.6403825313840248,0.6892929410389625,0.7872087944756062,0.6971744383651722,0.6054529934075572,0.7431819433006099,0.7794313624156484,0.7249418875183876,0.7477080649068795,0.9694231273768239,0.9897628812505938,0.7855155238017107,0.9656990339866255,1.180373747442839,1.1808534752697926,0.9851677843365185,0.8016114951041894,1.673078226082746,1.3019595342755002,0.9771393348890988,0.7970380142362736,0.6164472637342936,0.6775490318669637,0.9036539954680624,0.6874350066520697,0.6598717005983439,0.6359166251585014,0.6572531212769033,0.8013095743831224,0.6806130877655614,0.5043908234401943,0.8247074695634583,0.5233703328014734,0.5777458358829521,0.7509908498940708,0.999299645569459,0.8598718230529029,0.8147584284454116,1.633385645521457,2.0147255293292012,2.0202006772102448,1.9077309775670783,2.649253651121786,2.6305659243091597,3.8183010574150313],[0.6513412627705267,0.7071730515917577,0.9748195727697592,0.6388997367909481,0.665396911695176,0.43322872248713024,0.3802737310002888,0.4192767787465434,0.40562185241879206,0.4300324933068527,0.4680277267720467,0.4868166582405965,0.46269210038887854,0.5132365561289853,0.5649647698302568,0.4914978565408129,0.5085954060680146,0.550289717225664,0.6837588092660033,0.6257655554291978,0.7646820990686258,0.7777399961204406,1.0167441662806516,1.0539149774016199,0.8746300022926162,0.7416968733761532,0.7118873278353566,0.5377807936927889,0.5253797332904008,0.5039827444083362,0.5375469162253366,0.5106890903385014,0.49215627096775744,0.5386874811150667,0.5584945159191576,0.5702066821036929,0.5478502092611497,0.6242501441912666,0.6280052265463326,0.7695053617264561,0.7351610423095775,0.7439386366128723,0.9737690298315281,1.1501110155000411,1.6805962931384015,1.8644005940522836,2.3174007794981617,1.5971483341205044,1.3030802919903732,1.6646900273524545,1.5375959015678733,1.3597445048442856,1.2642186405620535,1.043289228452273,1.288734138523788,1.0455242874604194,0.9704910058606151,1.2171456552965256,0.9516365911578367,1.2625300289400694,1.0040839038471254,0.8557885241454366,0.7184495322734425,0.8150130729695614,0.8375099402885977,0.7417784716994754,0.8058166326227509,0.6081034632360027,0.7500775748115597,0.7658491299207324,0.9331088915938509,1.2324385953065538,0.8398568097675685,1.01178120344124,0.6594860655024696,1.0557772883529724,0.6589182262872889,0.6275549282127635,0.6720026872181583,0.8031930207349579,0.6624896853108952,0.7541326460842254,0.8622135716280569,0.9746880315975203,0.9134353600042204,0.6802892766725038,0.6495530400907267,0.6818490981042021,0.6237085170271561,0.6183608804324632,0.5903076589711123,0.81101374504953,0.7087815814351911,0.555171503064106,0.536341418701704,0.6395391249052857,0.8410636286723404,0.5232262139610279,0.4620596046226438,0.49047939187212836,0.4915365491449627,0.562506763693536,0.5514852564242013,0.5573948234373898,0.6560884680779125,0.6550093305802522,0.7710807185338039,0.8028324576126914,0.6486871550899573,0.7286196061279845,0.6227284218803417,0.5145329124325178,0.4298053594592682,0.45084988137323523,0.4871675439554752,0.5246894458470103,0.5314791053006872,0.5753879430511151,0.6997253959618444,0.5822389733820936,0.6324091028502644,0.5954907297595088,0.5780383165404069,0.4989845653296576,0.4345493331304835,0.43379068854500064,0.524999711810752,0.6002790374900138,0.5961113134339749,0.6633158922962277,0.6811896038900742,0.7437904747515309,0.8011581858182041,0.7430076284806355,0.7556498864638651,0.6141944461040366,0.7931259000921237,0.5844872685307131,0.45676549470992095,0.5239020056403113,0.6006359723009816,0.9526264299881975,0.6608127441795961,0.5582737842447874,0.6010996397360482,0.5541859944353962,0.5231469396472664,0.5042857023264616,0.4630545138176097,0.46543305610582647,0.4784385357052118,0.43786425620091657,0.5493444762447739,0.7776344907517514,0.7140766169665195,0.4669578055472344,0.45424898884278286,0.4547254400424944,0.46814775548426185,0.5537145064561243,0.5965176655259834,0.5685274665604608,0.6067932368109397,0.6909256124608336,0.9449069589137212,0.9038064555827315,1.156766522912031,1.560943274801327,1.303952519553183,0.9860907155758724,0.8786130234468836,0.7202109105527609,0.7487327448699391,0.7054543105048949,0.662262795379557,0.6057849659060469,0.6002931173320517,0.6621536248213831,0.7337869804197559,0.7059616421638744,0.8771872544124517,0.7053026497177047,0.8664666131921983,0.9703675044051193,0.9383576558626948,1.1160049383908661,1.0634771035153012,1.268521938908502,1.4955905713526827,1.465052163980822,1.6341100763286824,1.2911400583440407,1.2440979147799884,1.1629800631713194,1.0120542812206406,1.053154090151968,0.9868935393340582,0.9303799428364683,0.8637863906050381,0.8597694781072062,0.7575002999431072,0.6680209317787914,0.5996339199369037,0.5631736870881452,0.5411026694214827,0.5206320796152574,0.48290923929027696,0.5261493281667351,0.4830802408980067,0.5582033366263913,0.5829966052825062,0.579247193846314,0.6538497408592566,0.8014376872068177,0.8600522976350043,0.8249651408622362,0.7400721365328397,0.7291722849794464,0.6430192430322751,0.6529948314879681,0.7551579790384539,1.1690010225237044,1.0704326342425639,0.8279864579265535,0.8884694015414586,0.9409635369499312,0.8810932757272223,1.1585645085251122,1.1196813954405516,0.9509687712123206,1.0485441100052004,1.2953842412617402,1.115703074325994,1.0457510891890298,1.333106112960273,1.3716693270750937,1.1940440123758986,1.1715539130980137,0.8944700564356196,1.0296337183241744,1.0544432641814436,0.8965278132029165,1.0014383662451094,0.9269440003335199,1.0226263742764836,0.8955405239850467,0.772028144261211,0.7405039105406874,0.6673372307054637,0.5936130161819363,0.5469740460615545,0.5656563668147683,0.5115306570938335,0.5297064129581427,0.5351086933530741,0.768533913906366,0.5627717996924787,0.5382589837529018,0.5453170202224249,0.5822165545873006,0.6443490882907352,0.7480190154812202,0.6353353252473922,0.5587720671485726,0.6973387294036276,0.7290062784983842,0.6681370439892871,0.702603569069329,0.9295289276476337,0.9534639555671979,0.7509629381529525,0.9214948932874651,1.151592240152512,1.1652713628721947,0.9700316688461363,0.7921922760143011,1.6794885806994562,1.307263007545872,0.9662907591352505,0.8072255185761323,0.6044719680497371,0.6828264251130164,0.9086383626039872,0.6640630428769685,0.6694907494165058,0.6593577018461413,0.6416940842013836,0.8206434527380948,0.6555225281503625,0.5176147984335361,0.849855069362991,0.5642059179251886,0.6025222673332581,0.7679576061294647,0.9979681072415949,0.8789510869321566,0.8680553340524795,1.67886182137438,2.1081923995888037,2.05550313632215,1.9757479550329689,2.7997654602664435,2.815638222718732,4.061367985340515],[0.6767095456944356,0.717830756057831,1.0266545561998417,0.6186160507827426,0.7015850706661453,0.4820177666846361,0.42482335327851667,0.45527667120347703,0.4544690137554107,0.4698776447203116,0.4981268106480502,0.5159430815093576,0.48168743329985914,0.5454817331924541,0.5712800518466695,0.5024488745088279,0.49082590760726386,0.5311373434863607,0.6427982226178015,0.5514145541485518,0.6697923110637064,0.6331639973267817,0.8867186947945082,0.9159387344240904,0.7713075529200416,0.6544636060417764,0.5451963870448779,0.47914021645766863,0.4760826261189197,0.47036266367065743,0.5070773687669269,0.4875938155948835,0.48341452753593805,0.49594120358581933,0.5015265354744162,0.4980763791688094,0.4819869974208375,0.5321036202509037,0.5041220579774915,0.6350681313511639,0.5754918788211347,0.5834146096566281,0.7722398358492646,0.9742613312525045,1.4828307488629289,1.7623622944928843,2.124518143438835,1.361051077340838,1.1602148367835936,1.4676606832372392,1.3365506308151074,1.1653841135261467,1.0716480610830736,0.8829086805201676,1.1578714012619284,0.8612455347610425,0.8247149848427824,1.0464002877562362,0.8213281701257242,1.1475831408839063,0.8970200339187887,0.777274403243858,0.6366629769165444,0.725472587655984,0.7430102508079287,0.6604111133923241,0.7565376452894377,0.5647705612644714,0.7353176371355835,0.7439414231246114,0.9406481195406035,1.2033159599463827,0.8088004461510464,0.9539244124404589,0.6282154798845236,0.9513266064637927,0.586998593367307,0.5504077958154683,0.6019510365245575,0.6965133834318639,0.5555175326520871,0.640878678188458,0.7783153649083584,0.8559690080167828,0.7835433015229826,0.5741687745518472,0.526281609897804,0.5951295946254147,0.5283970958501278,0.5480182153466915,0.5353127851452292,0.7534125871196106,0.6740952047401464,0.5303421466250566,0.5381529259682944,0.6366654788471949,0.8577168032173546,0.5364109267817838,0.4756672403761313,0.5025254214190433,0.48414251977866707,0.5714124904696775,0.5210281235319465,0.5507679616558536,0.6233973972089355,0.6478729426790532,0.7784126109612786,0.8056346694420069,0.6767082751180851,0.7287836958039859,0.6401295372712129,0.5109670522483557,0.4496467411942847,0.44795794724650717,0.5201696569837629,0.5531988664476792,0.5403729425146707,0.5654654548428917,0.6473071817038596,0.5742629033924198,0.653744634908341,0.643375715226744,0.6477599402894272,0.5297544830758931,0.46527809790038854,0.4334402124666007,0.5410227217631611,0.6067214069567503,0.6156477049888871,0.6566659530010263,0.6830756899471621,0.726158221340268,0.7614918957176757,0.7116784852661883,0.7214204029208504,0.5960614749699419,0.8062355502497395,0.5585603417509267,0.4008372448806659,0.46211915371374446,0.5079435867860673,0.869182180611918,0.5556191016909088,0.46950178727435926,0.4880558582161788,0.4761590387087109,0.47004991653740563,0.4765669480967311,0.45138248971095357,0.4798675557191722,0.4853473906642663,0.45875727161138025,0.5701044583578212,0.7642144207318449,0.6783434354466553,0.48485761742091404,0.465582461391359,0.4590136676387175,0.46574084410384414,0.5433694363783249,0.5452973517309656,0.5048914892329303,0.5190572943333879,0.5797552292450403,0.824364017339382,0.8180420270328768,1.0583399099885313,1.449868220147321,1.2635775806106728,0.983899054785215,0.837547251872936,0.6564955998145652,0.6669831236562027,0.6315723759543859,0.5902662060530238,0.5508261708350239,0.5396923315965843,0.6025613920033278,0.6538131171103252,0.6346159147345064,0.7973305277510133,0.6595389166463523,0.8048346267143892,0.8924429583257538,0.8618113508317117,0.9963790003963277,0.9279588193591382,1.1153274096164072,1.3853894149197132,1.3297843807227416,1.47189427533636,1.1918748520947642,1.1491507914448378,1.0928045191644031,0.9344157109228425,0.9699207387157236,0.9237106792061934,0.8913854661858502,0.8540496614219513,0.8660899721303779,0.7630595995884526,0.70235622382819,0.6353176747050084,0.5864622299527441,0.5761681557240693,0.5508977412535214,0.5064710727960376,0.5414681514822406,0.5140198732892853,0.5526572755557926,0.5697198786992765,0.5582001472587246,0.6108830898078582,0.741061681554782,0.8087498867136941,0.7932490768889026,0.6999590840437143,0.7088889676473634,0.6374312233612512,0.6504248963394895,0.7359275003174206,1.1194123318443387,1.0540367238656239,0.7970439752845998,0.8584578500298795,0.9064490829729026,0.8623716708666014,1.0917397359073178,1.0483690509342587,0.9090637861038502,1.0128154676496095,1.2076637117968352,1.027112352910986,0.9846881978600466,1.2266219402746925,1.2201347914516125,1.1052702663191734,1.095750777176061,0.8717130750665291,1.0131309106905348,1.0343001606485913,0.9166648011545664,1.0325829549954417,0.9649239625903552,1.0575893370058653,0.9250472256113029,0.8058081260767775,0.7929937652316339,0.7045522972988089,0.6455302779465604,0.6052746551872639,0.6137800695792057,0.5542877549957657,0.5817081515399365,0.5666545238485267,0.7654974039754648,0.5705436060910266,0.5601971654171032,0.5757295385566406,0.618823753366393,0.6817563203794532,0.7632883411897131,0.6448169861133674,0.5976758175209219,0.7031580018388905,0.712960265803574,0.6621798180231465,0.7015025023216963,0.866310103730423,0.8923105258513696,0.7415345535273009,0.8622795974066355,1.0324853267967478,1.0682830227701046,0.9252741435070563,0.819190638842566,1.614200168203772,1.3820237472155386,0.9391927919674008,0.7618049296655212,0.6065293916760709,0.6538571829194446,0.8565160165727885,0.6700284618114437,0.6891050483639826,0.7057735868457249,0.6623943326309474,0.8913382741859055,0.67223712327974,0.5454420967554344,0.8803980554359973,0.5947397454471105,0.6551654081733475,0.824375108268109,0.9991065696016791,0.8830011784661568,0.8296414621243007,1.6029845003807175,2.0420376175097736,1.9064090774005589,1.852514809026647,2.628863673321798,2.716518682419718,4.02344974136381],[0.6965869129655246,0.7350763605831835,1.024650739154747,0.6347728801982567,0.6941712373739899,0.523311531157221,0.4710175415048139,0.5011131526106766,0.5016561003943393,0.5190295647116439,0.5384473763296566,0.5752465447841713,0.5380744182431464,0.5906951322544998,0.6166641349370257,0.5686836088054082,0.5510524102384524,0.602484944217186,0.7213908607204477,0.6246744604605662,0.7507207999633583,0.6875519008667059,0.9584494825854293,1.0029258743389369,0.8413400267408495,0.7459297251061149,0.5494672102776895,0.5528303573827815,0.5394663631726542,0.5333078250913635,0.5635665189023956,0.5442571502459154,0.5558390159228683,0.5518614364826313,0.5522469892411849,0.5499837751084092,0.5205181911659142,0.5671602777599738,0.5322337102960005,0.6184582178354233,0.5687092003421045,0.5839761864925515,0.7214407573294092,0.9089960112474356,1.3837163843426306,1.6549564694755428,2.0471471786617483,1.268188324613694,1.0669174854870669,1.3632096290369013,1.294369941709751,1.0931585408842557,0.9990953137591597,0.8297992530663719,1.1404899517156613,0.8412696721878588,0.8266348526582498,0.9764381822901683,0.7927663468618779,1.1779862446605098,0.9174800895156667,0.8244772436885452,0.6921170760895208,0.7969769631225397,0.7951814166832383,0.7205077567883709,0.8327475948086975,0.6403527475271504,0.8007836668593789,0.7896804115792793,0.9929982078291588,1.2409164308143983,0.8554509835567439,0.9897597880927574,0.6946768253711151,0.9419363448775059,0.6361249510480187,0.6044244792239839,0.6594715651366315,0.7164059908606583,0.5632917454045794,0.6279075567368999,0.7484694238684847,0.8182252658733163,0.716849759241699,0.563908695681777,0.5326551735882129,0.6062123155890052,0.5689446146126922,0.5820641219431263,0.5989686035593501,0.7967890039918758,0.7148784539709455,0.5838024286353322,0.5952542553023077,0.673710424660442,0.8803485309694619,0.5890048616535061,0.5300832170913161,0.5497501450208316,0.5292627017167795,0.6260139549816276,0.5562773235931013,0.5850708689781773,0.6403211021204076,0.6742182545153513,0.8242796452794245,0.8582185771778583,0.7216242888229247,0.7377434377415177,0.681837117458717,0.5366694012346932,0.5081371508622594,0.5072776918296803,0.5905467986542868,0.6260013391046299,0.6186829001906314,0.6367603749641104,0.7094052665508019,0.6413930062863841,0.7131540631198745,0.7036951694008419,0.7118910612333237,0.5745586097365829,0.5116381132045268,0.4861336810972833,0.5740613977006002,0.6209403226040393,0.637879910181788,0.6847754768581299,0.7339024625598736,0.8018271335931145,0.8019977905446298,0.7381574818912688,0.7336230948475058,0.6038232057735874,0.7740711766619367,0.5393056632073698,0.45244690436228546,0.5217305821322423,0.6082257876922319,0.9177555929602343,0.6368353811247035,0.5393546084730528,0.5248089652675213,0.5223419267979407,0.5264224319402508,0.5282419855430371,0.5102308615700965,0.5296535429248052,0.5327421191840569,0.5078994230043601,0.6185898939312443,0.8378216081701294,0.6759060438935219,0.5358298496083884,0.514707597890112,0.5178472766578714,0.5257227210214763,0.5904014411582336,0.5618268299364411,0.5393508674151982,0.5396283545166902,0.5713690636007134,0.7979651642653881,0.8168803857787662,1.0106847389369236,1.3487833287050188,1.2155944111213295,0.8644334473305133,0.7743467902762325,0.6086568977027317,0.6287947699993374,0.6139841449300161,0.5910877058484049,0.5665312409863604,0.5579942096083332,0.6189289708054294,0.6607766807270569,0.6493216549094393,0.7676989309319899,0.6650702601844038,0.7971121420818802,0.8864631319091486,0.8231608058684481,0.9027309704531545,0.8433600852266125,1.0268174966479222,1.2440696933724578,1.2327523105332772,1.4144651696069086,1.1261455260741546,1.154771628794767,1.1176673030569755,0.9877101151538785,1.0564628749166776,1.0117280411629954,0.9656059499647628,0.9228435980652229,0.9127791709954108,0.8478005195408058,0.774580595739914,0.6873833186103169,0.6499319504285359,0.6480784287030986,0.6065878358382848,0.5397351483833083,0.5725497368598511,0.5613359762583006,0.5550046666984626,0.562155361213216,0.5603058975593408,0.5857410341288882,0.7052021082249953,0.7575073415281625,0.7653400765009332,0.6601731034554618,0.719914983323025,0.6450874307012103,0.67546903886874,0.7907737703795545,1.157072731821347,1.14355413991982,0.8514471004344755,0.944092789655343,1.013405569593102,0.961587364335485,1.209231309128666,1.1509395792459014,1.0106601758242741,1.1061699145473698,1.3012330323823187,1.1057512738242,1.076791517600831,1.3454338577085865,1.297103180656404,1.1725808552499264,1.176966140690275,0.9475537302104061,1.0866854300789388,1.1210554811240916,0.9864629091686186,1.093665632549619,1.0229484889037566,1.1151931813550537,0.9970585702875286,0.9017828210454478,0.8715512689831065,0.780314281451633,0.710317790925017,0.6658660265348003,0.6412229373486519,0.5913807384201833,0.6429725368673637,0.5980433208424072,0.7283733935693587,0.5991432770416892,0.6059200927382378,0.6261839278700163,0.7073342787685301,0.7765898657759521,0.8556636892091154,0.7283512230718933,0.6489566598334456,0.7926162076379798,0.7849140113403281,0.7164288972200289,0.7626123925229645,0.9467558317077726,0.9194321392270658,0.7643303045890626,0.9181481505766806,1.1064499313544465,1.0869064060128077,0.9486999320089166,0.8413465454534993,1.6643168611274655,1.386532267426459,0.9754546299939947,0.7481296791076865,0.60875457204026,0.6523636448755058,0.8391453714384343,0.6893818434401083,0.6508353241783977,0.636852043982116,0.6876490997786949,0.979586187886878,0.7251586667737137,0.5893417004465235,0.853748463236486,0.6186935514239348,0.6970230369128465,0.9493614417872446,1.0061022945302747,0.8627800144221534,0.7708790487711306,1.5144896877746916,1.928368410791359,1.7961572547251625,1.737558231564936,2.421529057183015,2.5147882261649537,3.823465282725209],[0.6807781139135203,0.7227558120729815,1.0257258489268604,0.6302926370686557,0.701975657050588,0.49065900246083916,0.43811368649380267,0.4780907195329964,0.4622652157047368,0.4964512352160382,0.5311132911458701,0.5457476655853227,0.5197835761745353,0.5896619971330288,0.6342095344649425,0.5661688610983175,0.56171668261033,0.6230089898711163,0.7563890961385555,0.6563312783841396,0.8071082727116047,0.7497857537234149,1.0366798745174395,1.0929773311574376,0.8889337671259985,0.7888895321643025,0.5950633222220888,0.5726876050667907,0.5532091206223602,0.5383243018726891,0.5853888951128687,0.5455195612192717,0.5514804277107445,0.5760140618389489,0.5812415445896957,0.5858825409109385,0.5473389107850803,0.6130562586413016,0.574142119384656,0.7051220322936366,0.6409534141029063,0.6388037896290085,0.8186837001644811,0.9813773012059245,1.4660832393843588,1.667486453093606,2.1553108358031197,1.402387067645218,1.133852461470631,1.5011355670028492,1.4543446195712526,1.239910261453767,1.1317164711110879,0.9475027694724181,1.2505198998422564,0.9753943703998524,0.9183442700270484,1.075936651819496,0.8648763384935317,1.2758997601360365,0.9935102196920848,0.8674247057432335,0.7393369321939569,0.856267256056878,0.8338291350599037,0.7632763101963181,0.8916302717964253,0.6768164405717867,0.8284699426116833,0.8221068614931113,1.0329720760953298,1.321551443369119,0.9005060639507901,1.0322729717719652,0.7264375231409701,0.98019348500416,0.683444842130264,0.6576123464574074,0.709843490177334,0.7953032997824996,0.6158420177912493,0.7051129312599995,0.7833018593108233,0.926213274853655,0.8126120738765354,0.6226509885413234,0.5993903539453609,0.6504378865275953,0.6127884827557363,0.6155943339595105,0.6336304938648933,0.8440540866045098,0.7589422271374385,0.6039199487197681,0.6017814027360784,0.6977167187974376,0.9084797478540869,0.5825820370176477,0.5210773747920647,0.5308877000264925,0.5251755632434209,0.6112173065449876,0.5706609958877495,0.6077802088332123,0.6870148878214907,0.7094852963018421,0.8880772956657614,0.9166278234698569,0.7618982165023479,0.7549458138943343,0.6791257526742778,0.549420426866176,0.48916067854637,0.4897954569527989,0.5519531759622197,0.601710410734825,0.6064568820374785,0.6499810336100424,0.7511870712921549,0.6548259374796146,0.7271908181452595,0.6978588709214325,0.6963028263265942,0.5562925224956524,0.4811659199063404,0.45678073930205004,0.5464581739776464,0.6274779033713024,0.6660131604372694,0.7328752672644586,0.7856231394396184,0.8870065535565888,0.9060509596509843,0.8243925565139312,0.8163855170767154,0.6238239991187301,0.8082345289282741,0.5476702245612798,0.42627373652359357,0.5281569929799254,0.6350588667331981,0.94235578371671,0.6655973950488939,0.5534978769968075,0.5579147376065288,0.5472300008087052,0.5389350661750203,0.5195972438977234,0.503962140058738,0.5166516418137569,0.525968127741627,0.48761111124751905,0.6162757492945142,0.8040403853099678,0.6794725118329829,0.5202201260365776,0.49852497063965484,0.5176185666248743,0.514553702913441,0.6111178049209507,0.5857934640092893,0.5672280224619475,0.5741910799451106,0.6368181767671182,0.8996602490912681,0.8666965089185762,1.1348189030822071,1.4888828400134326,1.295404606689536,0.8700444476660433,0.8515799777221739,0.6595433528725302,0.7064762102337588,0.6788113974816775,0.6455035027309843,0.6154081048612035,0.5897418966001735,0.6746451307667631,0.7350979465117125,0.724924160234405,0.8499774707317701,0.7297360822781969,0.9049991998081394,1.0170295360569575,0.9343863897454883,1.0355311886250016,0.950752364739299,1.1591886620701877,1.3110055761162143,1.3653452268553676,1.5942923901221633,1.2554064042915767,1.2890763656359252,1.2279902365156594,1.1195561057170362,1.1842844809311481,1.0925345664886228,1.0352386653507064,0.9654752351818674,0.9330841557106532,0.8946030414325483,0.8110882005579233,0.7068614868343451,0.6712450499820206,0.6784193538089999,0.6134283441251472,0.5415226422577091,0.5840434449599874,0.572405002591355,0.5527963641105716,0.5620302741609589,0.5619802965065854,0.5836478576676315,0.7104963151649895,0.7652872977685149,0.7727546625139263,0.664252018734282,0.7271641924857575,0.6557208905362251,0.6878585648847105,0.8278019463894277,1.1954709719426588,1.2047424362048436,0.9101037899382305,1.0177888491411813,1.1079484462678104,1.0516875750525976,1.3329893496501708,1.2488440848984188,1.0931301505577806,1.2094005640755803,1.4195627579939145,1.1879973849129488,1.166414149790324,1.4839755787855813,1.3876986685269412,1.2424814776047397,1.2565870281138405,1.0052642782235683,1.1571440197735443,1.2166860880037635,1.0613985878682646,1.1697050419048356,1.0934348427029696,1.1866556763031346,1.0547353673113946,0.9560897851812278,0.9279795424919526,0.8147001100047078,0.7419409794206097,0.6947480001790685,0.6600483896624754,0.6012199295922519,0.6645026046522498,0.607703834060194,0.7334314149257668,0.5978527685763549,0.6178988480096298,0.6428783901331389,0.7466353289735912,0.8238871167386802,0.9223869598628137,0.7746509801243946,0.6748127825098003,0.8515379026733788,0.8385358529017899,0.754327666264942,0.8049823958249581,1.0148575047283899,0.9582994282626986,0.7897226939648196,0.9623142568923463,1.1766383473021789,1.1252567982152846,0.9744182741965676,0.8386052582461258,1.687374750548208,1.364178624510457,0.9880870853678416,0.7610825898075538,0.611852303115633,0.6611482835797156,0.8611809429893609,0.6954892994858112,0.6467879405559158,0.6309338415393653,0.6964771187171802,1.000759001140302,0.7359618466301524,0.5922788226116622,0.8511719995516372,0.6327360139198489,0.719117730330889,0.968890745375118,0.9988820435774235,0.867674897271543,0.7777313634952872,1.5139629924024942,1.9522078967457481,1.7996451045906272,1.7512383284153055,2.4479623303679077,2.5436536532925067,3.870527408793738],[0.6862383723407444,0.7174304866790155,1.0422326166920828,0.5982505057842731,0.7205289266350298,0.5082493212120229,0.4812910474008488,0.5116194123792002,0.5167384313008505,0.5575076354081286,0.5972231536978012,0.5934422005991238,0.5612999451596559,0.6531619183274112,0.6870442885598345,0.5999517298943478,0.5882398111579852,0.6382092471741475,0.7569131537622236,0.6516847744076203,0.782766727636004,0.7243406456340034,0.9929691495804315,1.0290084168913527,0.8543481598520007,0.7594721176601954,0.615551978314773,0.5750970901866654,0.5651404726044446,0.5584844935569688,0.6102694516488733,0.5771305847402086,0.5763266619211723,0.6022138427366314,0.6098643469322591,0.6089691777093085,0.5773215782611653,0.6375914536794366,0.6078598278985866,0.7706787563219235,0.6900866566995563,0.65479494473721,0.8658926767568385,1.0430613299151688,1.536221751153702,1.771236300274005,2.212464189233173,1.4727365823468321,1.2291119361491742,1.6079049545190498,1.4990390851007795,1.3153012249593483,1.2033681961514096,1.019794189987461,1.291460361968062,0.9956544246955056,0.9265799643102569,1.138717760603775,0.8908000654463356,1.250631863396803,0.9784285495534205,0.8518782276613762,0.7290027190581094,0.8201041799190176,0.8045348823687539,0.7511228201378258,0.8798708720183211,0.6771323036858685,0.846392252117061,0.8513002467855549,1.0707407617919174,1.3605900123034176,0.9329718382637376,1.0409851566040715,0.7397827911522963,0.979190039670524,0.6838200656678908,0.6665517124630563,0.7153576226254595,0.8109803404342277,0.6513171905477122,0.7652758025598071,0.8529197976101851,1.0211189209617106,0.922534112054081,0.6822124002835922,0.639334896728992,0.6877913023532873,0.638005130006818,0.6378341646754565,0.6553661525661226,0.8645843252395798,0.7884909047145348,0.6381038915493665,0.6413419566422442,0.7494154916307076,0.9664967725351451,0.6231289038578003,0.5666468802588968,0.559936316036522,0.5626021799735551,0.612946894322214,0.6113150744081027,0.6586110912576768,0.7560410953085923,0.7637354803227703,0.922793764535114,0.9422409158539018,0.8060153680249051,0.8009874354557741,0.6875233475601767,0.5925561583449953,0.5118900162943535,0.5070934442132232,0.5817474932180526,0.6309205017110975,0.6315188638486269,0.6675653677041116,0.7542390048481616,0.6809895807380401,0.7703280496315852,0.7500124678061177,0.7532970840248033,0.6114347270429552,0.5293881693833754,0.48387170821286635,0.5597286252399366,0.6722734117356791,0.7249906445488201,0.7992427849201073,0.8237757402872604,0.9053652532952581,0.965964931292499,0.8940933616860572,0.9038825320897365,0.6969602925152802,0.8840868840345303,0.6171790919365893,0.44889429172458223,0.5492289866492891,0.6247753470643889,0.9343545470309799,0.6514983139094848,0.5581151658767258,0.579595957146092,0.5678972795600074,0.5552694062700374,0.5470029005663561,0.531933052545138,0.5539635806893424,0.5491510992291115,0.5146820197506968,0.6214241156981225,0.757734724705572,0.7128011507862206,0.5432172686557901,0.5333981204596313,0.5408376931450879,0.533866418061621,0.6379643267691366,0.6502392357713699,0.6031955594904886,0.6191486909362497,0.7038428325835454,0.9958240932128052,0.9313238988495256,1.2722195727992525,1.6880097730632913,1.441404861439421,1.0703803264287102,0.999504078010673,0.7786453116173764,0.8237214754464514,0.7710753196896483,0.7141336667895106,0.6747244633768372,0.6375743271781966,0.7251626569414064,0.7896795302612238,0.7915059720009584,0.9503113144433685,0.8042240812469299,0.9952816279216011,1.1009159559928103,1.0452927473733715,1.1813219109071695,1.0732199479314413,1.256561797984132,1.4791737718144804,1.5000589808357683,1.6863891567613538,1.3856180040145332,1.3369433626398015,1.2639831636324206,1.1443538319051523,1.1664997129261907,1.0693971317526747,1.0219736599704659,0.9518232516365925,0.9489478617254038,0.8812120986915819,0.8266691694058838,0.7345878941879093,0.6653819564149878,0.6764163730665603,0.6157495175989153,0.5348487910495682,0.576897029227619,0.5748245677142182,0.5494255416853542,0.5612452899703787,0.5559034589661934,0.5883196390333604,0.7115797651956164,0.7729765328086973,0.7579898603562286,0.6687235503173328,0.710487875817476,0.653001850277675,0.6815337346875561,0.800914395146678,1.1582098272371681,1.1526024470547833,0.854777317990249,0.9655259779447446,1.05161037527123,1.0175743272799793,1.2664524566223687,1.1734342564246778,1.037044975409389,1.1699465878905697,1.3531681229986463,1.1122693214255257,1.1102294914809745,1.398283412738848,1.2731696124538072,1.159639401104069,1.1973899685347325,0.9725757691740712,1.1554263734744954,1.2073692946791565,1.0735127519746324,1.2066516216268262,1.140323417726992,1.2187693760585525,1.0724463990249533,0.96055675727738,0.9576867621279418,0.8267746079038979,0.7587202043442384,0.719264868986532,0.7053131145214069,0.6260186265975933,0.6717487152706642,0.6332444346744,0.7784264328392453,0.5966000104425185,0.6150242941194249,0.6463041419891501,0.7296103159990087,0.8103344291950885,0.8965972654607374,0.7447479568839803,0.6792617349224525,0.8225659814055337,0.7990172433592161,0.7258667543346919,0.7837238975037606,0.949580908985782,0.9094576193266511,0.771918913843034,0.9144468294478952,1.0959080522831846,1.0698080664306577,0.942124289966424,0.8463694258892634,1.6417796660923276,1.3912587907447784,0.9481566636870226,0.7455235119881437,0.6055443421007575,0.6432487861533409,0.8367708310368379,0.6773269301336425,0.6738888774814807,0.6871527494323573,0.6986634853133068,0.9684581725682844,0.7432758146546439,0.6012429626455453,0.9036173552399157,0.6737254966958826,0.7514262608446027,0.9719378457051294,1.0120269097937484,0.9010471408636659,0.8340525482177388,1.5477512543727892,2.0168199773693223,1.8110473809455971,1.8008944470660424,2.5425882865392744,2.6867308337974154,4.075277599066625],[0.7512851283392257,0.7779276589397834,1.0984203755020794,0.6468792944269378,0.769644397608636,0.6571826285204582,0.6402433317458895,0.6474761121997518,0.7126814548550098,0.7852694093141461,0.8258879069388448,0.8084016564192082,0.7890127560700038,0.9016011691309369,0.9334714117498414,0.8668069511531669,0.8574833681133888,0.9379446559907499,1.0607144693004669,0.9114109459972758,1.0232475256863767,0.8956976613804044,1.1294003653892204,1.172393631291565,1.0392573398279292,1.0485381035777375,0.7642029403848789,0.8694754489647986,0.8343472343311399,0.7743909854369673,0.8664052448966704,0.7644280050210992,0.7909930426620165,0.7837086562026458,0.7617616870974498,0.7838136505045058,0.7207980563556613,0.7658485653260902,0.7232460551492929,0.7271362628716197,0.7109085615152035,0.7554441976446428,0.7851173654282558,0.9308317259194189,1.3346498165133691,1.649519067433997,1.9946766876817899,1.2540694984577527,1.1082259987509777,1.4028983274086142,1.3633169082053405,1.1588458948449714,1.0414360785362655,0.8974204560296808,1.1983818422021122,0.9102390464013281,0.9058780547740667,1.0068403061917879,0.8698390519062983,1.2317823144779125,1.035447358837665,0.9977319464461145,0.8963852589500482,1.0132719850165168,0.9953515576322262,0.9344447879699668,1.103955323314832,0.9522871321749482,1.1336711286439098,1.1169046795828228,1.3124936890909131,1.518237739639858,1.18116349477687,1.2201952581625763,0.9946051341782445,1.0831231724359633,0.8759697928446509,0.8333781180359967,0.8618670800351412,0.8635058039984497,0.7061878508761772,0.7378125988898719,0.8310419017013935,0.9501281344681263,0.8451657733788147,0.6987415303942227,0.6914191313509752,0.7559666585558686,0.7698753728718735,0.7757708111229992,0.8574802599123306,1.0349085275497616,0.9828577606165955,0.8704564169323348,0.8910550775797914,0.9801443020442888,1.148809635755455,0.8343297635054033,0.7702976160697225,0.7245576827785255,0.7056863488210408,0.7585224063429036,0.6995862886555069,0.7211143929873687,0.7919734641073816,0.8245279291771428,1.0056348972675082,1.0315136137123262,0.9093988512487419,0.8549189204762004,0.7737678413593527,0.6692893694281385,0.6613723958799319,0.7155748986730218,0.8665348774946096,0.9396910504201924,0.9666469391680671,1.0174451332080456,1.0625193742182695,0.9917920686253558,1.079181926134954,1.0531162378105572,1.0896290837428912,0.9031823731509088,0.7708812203329646,0.6836883265515352,0.6382346492752439,0.7231831896497032,0.7870200485973813,0.8661522548739701,0.9242276644832423,1.013703378526111,1.0343497250261915,0.9441935602485828,0.9448786665101051,0.7389331314703765,0.9400529827437781,0.6755520094949744,0.7133008284437443,0.7961248270837131,1.0416056355281536,1.1605262736967052,0.9611907694530173,0.829294126805249,0.7489853776339372,0.7609084696350715,0.7765440620177979,0.7355613480864579,0.6780936339833709,0.6988143003999869,0.681069243107134,0.6556369340237339,0.7357417716910729,0.8943535192988137,0.7974984776424437,0.6946251424305696,0.6936552339023646,0.6760649102922095,0.6890121319882969,0.744394378843891,0.6999706852695552,0.7145312514669667,0.7225480310763651,0.7178634906453758,0.9197424219857837,0.925064936200944,1.1812463627598688,1.5100841650020032,1.460923373572438,1.004790364309838,0.9689915379495233,0.7530682214443948,0.7795329807929584,0.7628991531506467,0.7359510719411902,0.703463844296523,0.6951112763409334,0.7638296662084535,0.8164901109183079,0.8041535074948681,0.9272323946593461,0.8271063656457112,0.9961642786587255,1.0849706125500498,1.0049522104299247,1.0324286116234906,0.9238888046380923,1.1242475261664369,1.307524255037809,1.3210597419606638,1.4992456181729517,1.2302766655663004,1.277506550368338,1.265381328535053,1.1790986011383617,1.2419774001428825,1.1313046178447261,1.0878478350486736,1.0721472752342722,1.0279793253782727,1.0160954945943308,0.9554485020635306,0.8494951290985688,0.8067057525980212,0.8279289056059682,0.7445627670256729,0.6595531060561146,0.7061436303573858,0.7222059321082527,0.6547601734490865,0.6524839318698602,0.6665004623851459,0.6567257529826723,0.7317251314112784,0.7824041735401467,0.803552225436867,0.7161951843482668,0.821603379624707,0.7738149164965861,0.830874724882023,0.9545493450781545,1.2834143259337163,1.2811865941653042,1.030779954211043,1.1155002227086792,1.2044952588603686,1.1585874438377626,1.3904159226410429,1.3010623003183581,1.1860640652787156,1.2999008566988854,1.4555218980101798,1.2337800076602807,1.2385623318614845,1.4767098473648594,1.3248043938458813,1.2534166562601596,1.322782083669738,1.1018433213533738,1.2352762518645357,1.3324102087568281,1.2061937579554605,1.3310799720707769,1.2592483781487522,1.3370478933743717,1.2017528735754317,1.1114147759163147,1.0918474040672799,0.9490453848361285,0.8898185371461873,0.8530337668389028,0.8129697430869042,0.7496841023973253,0.8211791576163516,0.761558143859975,0.8364576548396737,0.7324181304571505,0.772772643385534,0.8090352470913872,0.8924486011931468,0.9597967893463081,1.0410652633451476,0.9150391513929544,0.8501111662728736,0.980253663080228,0.9696333765919973,0.8857603664395561,0.9432804839476515,1.099571326898411,1.0344034740660235,0.9036326761827492,1.0487315842836005,1.1874675059715931,1.150708487772816,1.0487347863713399,0.9941283474412983,1.6844821910622738,1.4798744472278034,1.0620839949009928,0.8037136505896252,0.7181653861811149,0.7470860380771284,0.8670175937472465,0.7733741163956825,0.7529253610287531,0.7546496174090574,0.83490371883361,1.146773782346122,0.851987698742577,0.6997570690069698,0.923342197148702,0.7762166132339663,0.8735668665578452,1.1487353586487075,1.0496768111499122,0.9308638711103103,0.8368112417526975,1.4608327439471942,1.8973149663672757,1.652722477241805,1.6776139757110435,2.2994768454732246,2.5181270964265416,3.9131786213914306],[0.7772171258806954,0.8077859784038719,1.0842173036794855,0.6713696979296164,0.7734038230794963,0.6395441499383855,0.6035589094488627,0.6459152197369201,0.6238748732563733,0.6447733319901217,0.6704904334967086,0.7063621556078336,0.6800175214787844,0.7326385707530652,0.7801969940097989,0.7437033416553098,0.7220695742134778,0.7996088843845724,0.9252591933671626,0.821402134949235,0.9567723264323666,0.8742590521010537,1.1401111747201946,1.2291119089583145,1.0310027006844442,0.9756592294090287,0.7046075412204189,0.7573089609808752,0.730971281684942,0.7091661040353926,0.7472842291913923,0.7081199956083791,0.7361771864892296,0.7279463780260582,0.7247344108288691,0.7280438192235115,0.6947284050520058,0.7473914296372725,0.7098742507084337,0.7649288230518676,0.7218827258549187,0.7454943730671599,0.8155428742872994,0.9530752017736002,1.364573421067524,1.5937226885674014,2.0344609168064474,1.2954983928056651,1.0826250341361827,1.3907015253999733,1.4185003417495536,1.1682862892584942,1.0747992284562697,0.9374623735500732,1.270841949384059,0.9760249192671859,0.9590922662526069,1.0365716090050707,0.9008113415021671,1.310769922693876,1.0589096024091895,0.9833206035299712,0.8692930718400669,0.998650146812163,0.961828450399613,0.8892127298701733,1.0298643667193554,0.8392041553895545,0.9774558906635591,0.9417581671064651,1.1490098143548246,1.3896189090688114,1.0116075718520863,1.1355474683980693,0.8671953138528474,1.0066831583015652,0.8053325606011686,0.7848174349073164,0.8364756475546731,0.870776183245907,0.7198950611193135,0.7725551813727057,0.83005912033713,0.9726651522332328,0.8344707992478791,0.7055186748303055,0.6976700847791213,0.7548476633918555,0.734871631877892,0.7465475393365678,0.7820050135100323,0.9461634583543156,0.8873759313241606,0.7534130198145966,0.762668651930317,0.8209349851648208,1.0013618608599815,0.7401449854235179,0.6931814614921921,0.7071342138001989,0.6927975175425439,0.7989506877270346,0.723836544806329,0.7752214811063636,0.8399049096635408,0.8669181297967233,1.0554492415315713,1.0587947017997241,0.9409793555076735,0.8818077365392103,0.8207248175695113,0.7021030362018625,0.6652466825916254,0.6729359529399327,0.735539930200069,0.7726321657280262,0.7887108208987998,0.8172448041115196,0.8974283584126428,0.8116581814428666,0.8653381685880612,0.8346018594601791,0.8392464209477075,0.7019081195880659,0.6369543281031403,0.6259741169378656,0.6709380494403967,0.7431950369045129,0.8037652982274316,0.8885307287450207,0.9489956001025402,1.0469032058911503,1.0284354147783419,0.9515124390608968,0.9254050120954397,0.7506748524096903,0.9287758380876185,0.6543831096320658,0.5935504988592559,0.7055067302115632,0.8914434788952004,1.0849039489310497,0.8628186614792848,0.7387395535589771,0.7105344039967668,0.7054740475185479,0.7085572458270936,0.6876799844888645,0.6791622912797652,0.679089108437148,0.6952436573541864,0.6551888627583415,0.7855406963605893,0.9456624328450827,0.7654949256420197,0.7113644212504715,0.6757911090385115,0.7007637022618495,0.6861325216399307,0.7782271492341173,0.7157117878057557,0.717604530661535,0.7158697960949337,0.7402067161706124,0.9308699147859045,0.9459342205572626,1.0937746062448397,1.3319559609266194,1.2334332550304707,0.8079629104755247,0.8671743523508392,0.7330088490623279,0.7794069273410513,0.7779664588128389,0.7628272868962764,0.7476504609509472,0.7086743338509757,0.8093783974858899,0.844474023412007,0.8515321765252735,0.9239700573063414,0.8579692685015601,0.9938822509620138,1.0669177534681578,0.9677484754486464,0.995679352250746,0.9167238581749232,1.1375270962309494,1.208470354180735,1.2830800148994441,1.5123929460917667,1.214868058161861,1.295960101868835,1.2653969155027478,1.2028912948616166,1.295925755413457,1.2483538688019322,1.186527899651387,1.1107073323939396,1.0886510942570002,1.0900194147059967,1.0292397280788996,0.9011357419556298,0.8586484274041408,0.8956062772352653,0.8131525542088913,0.7095232007041454,0.7597408841333477,0.795283354355426,0.7108691253395506,0.6968435222111731,0.7153780813450172,0.7003785931470085,0.7401918901003383,0.7941480907938421,0.8416884749418808,0.7419955789520585,0.8444873217307276,0.8092951790449392,0.8724303787012804,1.007916712119911,1.3168419673255514,1.3605837116134614,1.054662034178632,1.1915062799836298,1.2938043588503103,1.2630879926793195,1.5032171595479156,1.395029717312731,1.2574329556550476,1.3887868601241051,1.5451296641057155,1.282251035861184,1.3113191233725108,1.596128295178206,1.4162595623894305,1.3012886141290971,1.3571096768002895,1.1439585917230997,1.3378306158974689,1.4096535733710245,1.2735796864024125,1.3872886245225367,1.314171336506881,1.4023913390814895,1.2693122730762456,1.1956121392205419,1.1791924739378605,1.0300690047172818,0.9688078187821719,0.9350962829933712,0.8728182177987095,0.8101226529656333,0.9022086368799611,0.8304009924256034,0.8492754975242406,0.7952539969297391,0.840893373686891,0.8724994224132122,0.9909786479237425,1.0616677054918786,1.156840962779398,0.9979889641749267,0.8899691227192644,1.064833229218012,1.0187222312871722,0.9248269883018896,0.977678265548592,1.142339467143407,1.0341310812031899,0.9131545743488669,1.0623776077223548,1.2537240069205795,1.1549988402752678,1.0491034994522062,0.9545956553974928,1.7022206103788928,1.437460263919473,1.0603581221945053,0.7828164172483609,0.7215690456416505,0.7477545870169724,0.8458356652041251,0.7681111334906061,0.7099312977187874,0.7207761227771615,0.8379531898553386,1.1453639510778668,0.8915930698523016,0.7565800148770654,0.9245148961574657,0.8248033420318961,0.9249225924552021,1.2339506154351678,1.0728341703327038,0.9421959505178397,0.8539370443616993,1.4147683180543575,1.8291844780910675,1.6150288118457488,1.6207645502049801,2.1805779292233534,2.4035981251967122,3.7674590503425556],[0.8390240118511378,0.8710595360361254,1.1213785174791726,0.7473410838501386,0.7826177875796798,0.6962373097005458,0.6606619687252457,0.6847192762042555,0.6830494658853157,0.6886273614079921,0.7067273922355057,0.7523926870189354,0.7349089327217816,0.7479876492087599,0.7812078675741646,0.7784370057288187,0.7486013630419263,0.795394586573727,0.8912950424105724,0.8078262887851932,0.9201199305903225,0.8468421096247838,1.0847322411090774,1.1588893884375664,0.9941898239613878,0.9347940350166434,0.703346118706102,0.7598724037227585,0.7559770270255598,0.7455066415040812,0.7586167552160332,0.7446549455345521,0.7682472006077473,0.7559136510489971,0.7585623555231841,0.7457944398236509,0.7403025254947483,0.7804101079828396,0.7440689895587481,0.7753586636247553,0.7398058046017136,0.7490610978950866,0.8026755015932133,0.9442013070236087,1.3478900944181098,1.6143804616330588,2.003545826140009,1.2580283205120173,1.0886595420327418,1.33228650411797,1.355085881213764,1.1244385755498587,1.0541870516708847,0.9288669821201733,1.2611203703734135,0.9603310623478838,0.9604168635028347,1.0308973515473068,0.9167109078921591,1.3014108247300835,1.0550011883858785,0.9891198873459301,0.8739076014360376,0.9663924181465771,0.9549329915435553,0.8895978952916247,0.9875879810024484,0.8213250119294453,0.960662770934092,0.9086900948855599,1.1060619902937077,1.3124524262109805,0.9692339604924123,1.126129193557342,0.8433055723394906,1.0083068727287254,0.8185635159867368,0.8135974667292513,0.8597122253529831,0.8932990460874164,0.7538539663213818,0.7850985752215671,0.8891306368089639,0.9353829866340733,0.7990869091924975,0.7364725311994859,0.7264787522053169,0.7847292283130617,0.7637760672516585,0.7711813649613372,0.7961808580587155,0.9383514589153341,0.8857389131501526,0.7721149909116561,0.768818449949926,0.8111345085436489,0.9603379576707128,0.7459310759891001,0.7259919127143093,0.7519109004584897,0.7540810395527312,0.8205760814386671,0.7597863878776077,0.8130393795715559,0.8141552877706267,0.8510254354865662,1.0072864367962246,1.0437802590239027,0.8913945308853253,0.8760509366842262,0.8489806009548876,0.7373361019138243,0.7119522764431746,0.7129259364741515,0.7599888868924676,0.7873393196978945,0.7925780974314725,0.7936675609364837,0.8428362898493386,0.8003865807163191,0.8311010223792761,0.8255313098659303,0.8193484917303724,0.7216842724940435,0.6926075013099152,0.695371066221348,0.7192501868929627,0.752160649840279,0.8069746006429876,0.8462187002536522,0.9400851929418398,1.0089731174476748,0.9699140098984144,0.9153780029865728,0.8716422249398418,0.7706818050070668,0.8773485926925828,0.7007945627436625,0.6501773252093329,0.7392191573241145,0.8198764222584086,1.0723123400881744,0.8378865103223876,0.7505111164165842,0.7307635024860765,0.7368977911136035,0.7404646463131007,0.745093567773753,0.7202028129684422,0.7164903453955809,0.7428121020061473,0.7073370195565459,0.8252375618142587,0.9970203119833975,0.8071312367824113,0.7671350129207505,0.7354512037133372,0.7434581574770832,0.7426250662060268,0.8054890692053875,0.7606345389959329,0.7535084293087543,0.7433703794000732,0.7372811484983981,0.8986792291499835,0.9485745555304915,1.0389405628664037,1.2554451526045944,1.1905284203776827,0.8568396884666635,0.8372151801738987,0.7369323644667081,0.7574917533407538,0.7631008932450641,0.7657739155966932,0.7680766077157906,0.7495514323547722,0.8388343725985217,0.8355122937496133,0.839608379109341,0.8804701378219165,0.8309700147564621,0.9138080902043023,1.0042458213700582,0.9361768153655791,0.9551375778304735,0.8968147064042044,1.097168631222931,1.2006499958770982,1.2090250661396538,1.4031980725244027,1.1631850823600747,1.2312194365008393,1.2177268342946908,1.125760745095656,1.1885751476994961,1.196050011617744,1.1530464326113812,1.10929559139241,1.100205716197481,1.0821200481885414,1.0135426309476365,0.899167111695355,0.8774251756007309,0.8958290877553613,0.838650526532484,0.7360347381803738,0.7836384158336414,0.8125673284367435,0.7364239642799519,0.7180454356643575,0.7356398790310544,0.7227267548525268,0.7458376966633983,0.8054312200253222,0.8436932127370936,0.7740223597041846,0.8688575744216165,0.8296898580998502,0.8956768326273783,0.9952719475598844,1.302389359867443,1.3065908305919856,1.0412402991700127,1.1641327180902954,1.2370467817684183,1.208167254441897,1.4402767874807798,1.3249730592900404,1.230852892875002,1.32758087484785,1.4722007831601274,1.2643186667435085,1.2714882374508543,1.5267382648083156,1.429681409826843,1.2974491494197646,1.3441634426435631,1.1367565508958482,1.2903717991349817,1.331875577153183,1.2201042764393706,1.3044247088038103,1.2407852988148194,1.330202439097061,1.213546307774645,1.1506342073967835,1.1324223417841672,1.0486934783816777,0.9634902531040804,0.9366796811675691,0.8890972764384639,0.8331357107678862,0.9062675709588354,0.8445307030125373,0.8786692344940267,0.8048194491339359,0.8463808172699712,0.8713065465594638,0.9766447753962262,1.0424943000911313,1.1115687985276121,0.9815568838524537,0.8854183403656138,1.0460406635934332,1.013508424464042,0.9344777846247679,0.9762455573031593,1.1331260248260824,1.0368582602422205,0.9284158859744831,1.061338700146177,1.2492402307135408,1.1725631827641152,1.0630755018288045,0.9587667767315149,1.7152537487164417,1.4494333451960641,1.074840392808336,0.8011095872327415,0.72550524640212,0.7317759800642364,0.8621248849866178,0.7673329781495882,0.7430033754027311,0.7305318184313033,0.8519783241729281,1.1268330318558357,0.9204145994028241,0.8033692615866737,0.9095384414450376,0.8187083338358851,0.9201142773370896,1.1396359418887951,1.1010990873144613,0.9497784027740697,0.8778077631721247,1.4683613582431059,1.8190187605987225,1.6830626905565025,1.6593633208678584,2.2130974684810387,2.3696379129429017,3.632705700800496],[0.9471438931893562,0.9795938715292686,1.2026349913506358,0.9006718248267613,0.9478447914178063,0.8029607841711376,0.8162950402468877,0.85474286246057,0.8469106707933282,0.8751464751483296,0.8983156724748257,0.9213023447078427,0.942252424312201,0.9502918438532909,0.9986783695303473,0.971498805119651,0.9637729597101116,1.0143917186423417,1.1072191087617098,1.040583426339307,1.159766542647936,1.0920177754063178,1.336485396932489,1.4155393263213096,1.2091095141643815,1.1463066738522874,1.007067682204628,0.9896997064325462,0.9828619542324276,0.9631271688170169,0.9763528091857655,0.9596093800775001,0.9724003954437805,0.988885544157995,1.0037650466700254,0.99445202265811,0.9695014895059678,0.9962372806968477,0.9879756541513265,1.0552760217492883,1.014918141555833,1.0381566745555817,1.1435364818755573,1.2396911241719968,1.6041414588172722,1.739408284156967,2.2549379971734154,1.5839526673404474,1.334544299727983,1.6007647237998983,1.663999862958285,1.4022531229992155,1.3415267632295473,1.2386153231896657,1.5469616896755847,1.2818503519397397,1.2214491972618111,1.3383525173406714,1.1812278202191249,1.5577535385100867,1.30108088194252,1.2010261743386224,1.1289371613497172,1.2032718146659085,1.1450001122502318,1.1189576823956395,1.1999011207503583,1.048871722679334,1.161644275466622,1.1185367107103341,1.3028465712886885,1.5540574831594813,1.192425061311618,1.3303143935396857,1.0734051268181177,1.1600778968826164,1.0459371624996308,1.0480241959935086,1.0897515050689588,1.1707750103359316,1.0079529554003235,1.0617301363571559,1.1324497440389907,1.2381297854722018,1.1108545895713111,1.0162782360135418,0.99995737275542,1.0298532385692531,1.016409590726846,1.0123084630127013,1.0232735043766938,1.14344053928293,1.1021042615195609,0.9854311041299099,0.9924717015399424,1.036847587506033,1.1985671164705571,0.9485697427960116,0.9112405463108683,0.9073691285019625,0.9587141849417192,0.9957039058751149,0.9889655058626227,1.0231665228589957,1.0592419414495333,1.0396700657005395,1.141704605361665,1.1681012368625558,1.074289894022041,1.0551555521041087,1.0368087367499235,0.9288223762514833,0.8919151937313409,0.8894516721757251,0.9608592179644729,0.974140378930963,0.9903665191627543,0.9980173783027848,1.0588779577446839,1.006210441143841,1.0609629226316573,1.017303055072931,0.9940668673282179,0.9322678905731444,0.8753738254211428,0.8739313667347148,0.9283508984309335,0.9686734857353654,0.9974908048648116,1.0508112549399762,1.0933192358706263,1.1759535989752044,1.183209603488582,1.1223671614969915,1.0967004394819382,0.9715228351349927,1.0691940903019599,0.9134279860464566,0.8498867436784663,0.9325136918021827,1.0277282667442644,1.237862876196757,1.0555640937812583,0.9717823645018198,0.9742154344707342,0.9603579343459596,0.9436498044560635,0.9534664696568421,0.9339382992677674,0.9241475414663667,0.9189780551944005,0.8833287509623936,0.970511965279064,1.0893378935712683,0.9592483882457974,0.9384184359716058,0.9253753968104688,0.9297012686178223,0.9483380048168368,0.9915437101347271,0.9731515286997791,0.9684674510841416,0.9708880331672864,1.000627356457244,1.1949367900623256,1.1296023328679377,1.2787135833431735,1.4663934351430992,1.310217937603918,1.0105031962313895,1.0583990939677606,0.9789633901965382,1.0300073817225353,1.0302301710988588,1.0194499318992924,1.0129865394196387,0.9965308576574264,1.0631919642621523,1.08558316984047,1.0853860428354472,1.1499655045697208,1.0685672617690354,1.1768884741255978,1.2669871092845313,1.174830625770528,1.239336487860328,1.1898562155209962,1.3455362152736756,1.392833268687132,1.4610275255312593,1.6583837530853371,1.3407061165745315,1.4157392261995043,1.3891005059356094,1.3246736860612507,1.4309290003657351,1.421710383548476,1.3347823732019504,1.2350529457849642,1.2215075267766318,1.223048621660749,1.155971781232675,1.0333250312694071,0.978026322247509,1.0044949449321143,0.9522499768189381,0.8312996777176623,0.8643200241329172,0.9025770494837783,0.8414833304315275,0.8008265870506602,0.8108205293772365,0.8301436870526848,0.8691995572912118,0.86092773870672,0.8988202384939222,0.8345706664948418,0.9092390829506296,0.8698792457926566,0.9322457883641234,1.0658480506226777,1.3623060031142227,1.468417546957475,1.1817593846454006,1.2943110712414925,1.402745056519305,1.382222103909537,1.6454127481075678,1.5234625951464507,1.3752169751460854,1.510412408438033,1.6921191460205356,1.431564680279403,1.435248615881756,1.7969316665656114,1.6304862227205317,1.4352010908516561,1.509237161320825,1.264854540245648,1.4736380562124491,1.5205900141418516,1.367234776744987,1.482268648938128,1.4145904154168472,1.4918434624834311,1.365814195200122,1.2705843899784643,1.2761159251206995,1.16086357620431,1.079978845309319,1.051937548442849,1.0086335420185277,0.9369337049135961,1.002939418958436,0.9383272418278527,0.9698543421514458,0.8841914677384846,0.9114808446853985,0.9308564326630956,1.0644351842048878,1.1492798455929798,1.2411972675526377,1.076844756540587,0.9731742917637707,1.1684628382678783,1.1104496594326674,1.0190678315712438,1.0628397279245436,1.2636146034266404,1.1331955873371615,0.9898395496635004,1.1619517470755332,1.4053579720085376,1.283792484044175,1.1341668025294516,0.9788299903236022,1.7903415619910654,1.398732473773526,1.125682103100736,0.8511848936036924,0.7822300750846669,0.8225435927769442,0.9380730071919868,0.8341240496043525,0.7540644231155291,0.7572894572389721,0.9054266401607837,1.191977925584861,1.033941053251495,0.9465380149009328,1.0718581913442735,0.9696739542044972,1.0410739329518166,1.311872156827028,1.2677182716605127,1.1007334156757225,1.0318546213311983,1.6058028249056409,1.966492585919778,1.83947649158466,1.7535943931235047,2.303786270440692,2.447755420353931,3.695442710891748],[0.8498095978924047,0.8791047878319646,1.00604014900905,0.7549616032383575,0.691787224006601,0.6306831194080251,0.5684200599974215,0.5905812771307979,0.5962463473121864,0.5885585694037329,0.604885474792725,0.6630323530446932,0.6438677454574137,0.6590056144135373,0.6997422840173091,0.707184472327862,0.693006859187302,0.7459493371864147,0.8593132222824733,0.7916156715097722,0.9308534218652728,0.8913802941763916,1.1275106877627536,1.228195956029475,1.0318813171163599,0.9436024702020076,0.7218121264487313,0.7340634195998393,0.7147157657547065,0.6892875461381713,0.7040033724980214,0.6867234339407358,0.7030431898549365,0.7080493673542014,0.7240873559367764,0.7157565461572046,0.7204518053394945,0.7779165252789085,0.7634765513015233,0.8311362499564254,0.8012997054102703,0.8016953075294944,0.870710829911759,1.0199656888507593,1.4343600353559915,1.6694140231199812,2.0964318145961847,1.372988447007091,1.1662055566507368,1.4395764726862794,1.502630448349064,1.1925029684523725,1.1355294953591992,0.9872102357343715,1.3335738097361687,1.0513672744900577,1.0277918984002776,1.0677966322718428,0.975039333677639,1.355606851691474,1.0972185717024983,1.0319643533328866,0.914432614967776,0.9844013712064378,0.9869230746477791,0.925265311658795,0.9645563794717805,0.7962920858866647,0.9161297435136782,0.8474362541853764,1.0286209409453813,1.2586315163888606,0.8957947694377247,1.0816419192034843,0.8200143509927388,1.0321555985170672,0.8212425064697056,0.8029084351794694,0.8514615883636715,0.927408498242537,0.7748153465736352,0.8236293708113395,0.8867663784288008,0.9487796654220897,0.8005337757248288,0.7372054594457099,0.7495421441311874,0.7847972490622106,0.764867774023217,0.7434289653238363,0.76892707568834,0.9248568429734673,0.8354996094292021,0.7041291772565113,0.6880597205506279,0.7214255531738837,0.8578255464099779,0.6669058679436883,0.6500579524475061,0.6962095455068319,0.6750949863355757,0.7857086774907791,0.6833355052432365,0.7474681427515809,0.7781279780318506,0.776612151610045,0.9283385560898005,0.9693136691216745,0.8467566941218359,0.8255128209325289,0.799274540908925,0.647499391501159,0.6140099059391478,0.6221216031074995,0.6687707241744273,0.7112894824537123,0.7320168224882632,0.7732913365954363,0.8515592364397297,0.7506894119008851,0.7821090932326006,0.7491171109995536,0.7499413585769957,0.6482612887868648,0.5918569967775078,0.5970446812057699,0.6720690333946552,0.6535533138806677,0.7145156778753039,0.7769029584622698,0.8720569581302503,0.9877100497344292,0.9370004338876408,0.8937177361690345,0.8079165553727456,0.7021429647926114,0.7442564418157275,0.6187108032154854,0.5990337428301136,0.6945800566568345,0.7945676277916321,1.0916516954883624,0.8415155529740016,0.7304573252951525,0.7283013938934698,0.694262649689565,0.6847443910229646,0.6736246341573555,0.6473286059425375,0.6189270607511778,0.6705088177701234,0.6314715697324764,0.7613908676408323,1.037343191053478,0.7516356086735537,0.6937433780687469,0.6544928780120587,0.6719726750152066,0.6659171311159713,0.7398054640940909,0.7129030166016744,0.7298689424458272,0.7329813807066619,0.7520160916249399,0.9068742700594804,1.0138967367616862,1.020146723749834,1.2456544675439842,1.1075919253545572,0.8452596979181127,0.7779481689685337,0.6987376950707784,0.7394322139294945,0.7360570597136458,0.7364476175690714,0.7341996285642957,0.697087754943825,0.8122855981235992,0.8140288755134991,0.8340508537058879,0.8646053646688622,0.7858316344103977,0.897984861414591,1.0096957728862983,0.9411884963450725,0.9768155089012559,0.9355320092983009,1.1910654193954906,1.264331292082367,1.258091934168141,1.4431121745539592,1.1522194009224578,1.2397249189248227,1.194026269743185,1.1285673038122888,1.2377420748026187,1.2630945620102878,1.192943352171794,1.1251732822843794,1.0775879672509716,1.1313371271821038,1.0263654664587354,0.8771354504027289,0.902435116059769,0.9345580418900955,0.841717641612804,0.7629569197081234,0.8292324139084835,0.8405539098345651,0.7324886792411395,0.7358644001555359,0.769805577479761,0.7256211941645369,0.8181595529451673,0.8513288204043507,0.8928445295793456,0.8477761288180863,0.9535633841516233,0.8860925008250355,0.9568206558925478,1.120317339621276,1.4562759760013566,1.5167342199479323,1.2245424646091059,1.3086423645651404,1.3905139177395605,1.3272209153560504,1.6285502073131486,1.5178792340057243,1.3557898439852125,1.4536870716395602,1.6549711160940441,1.4446590274132123,1.4074252012405615,1.705726386189735,1.6847545968444397,1.460807786379862,1.4762906602212986,1.2134064555634474,1.3187458176102196,1.3932865660450253,1.2691221081618036,1.3197355187884308,1.2663844968465117,1.3197080625371929,1.2335063287194779,1.206447695258966,1.1532873913064,1.0473479338209253,0.9877715917153648,0.9609721328814264,0.8943984920571073,0.8440223065177909,0.9593555189892448,0.882853684358871,0.8726433256269184,0.8523664166585311,0.9039666456933338,0.922585595115293,1.0456313509278197,1.1006666138987125,1.2139127574919586,1.086896537990119,0.9521027297498024,1.1441807406929705,1.1394871067530947,1.0335032665992854,1.0605500585316778,1.2836935898097763,1.1709696556482718,1.0106832373010162,1.1920530129182838,1.4333083819825019,1.2985092703564944,1.1399020584415467,0.9890829073703538,1.809142406222258,1.401707553211986,1.2062695326786979,0.8400559659642202,0.7527361594289478,0.7446154308064993,0.8819556200776603,0.7903492907542922,0.7379107120586601,0.6870324078029498,0.8464887733631077,1.0561354447826077,0.8821473889941053,0.7186440444028618,0.8835442864119079,0.7711215757109876,0.8694922864400804,1.1319052179441984,1.066773841549941,0.9351416949880511,0.8494665496442647,1.4288466593807119,1.763608136284501,1.7347360946107586,1.6327012012582507,2.114833738802067,2.191327581102395,3.3714023867458605],[0.7209721026473704,0.7656434706120804,0.9350063188892194,0.6918834102265875,0.6539707791822692,0.5233741659628393,0.4749768268363052,0.5057311113107086,0.5011721257425281,0.499052647969629,0.5146121514206928,0.5683535582148658,0.5357066043351657,0.5568083386715642,0.5874730059196442,0.5666669874432707,0.5504941160938494,0.6015563719733945,0.7176771707846551,0.6397745449421195,0.7820688861891316,0.7523562849355971,1.0369779517469528,1.1074079519657238,0.9025880310153415,0.7789316390083636,0.5928320755045234,0.571229192986072,0.5670609223400676,0.5431146693406034,0.570212007108546,0.550572345202173,0.5609641528442745,0.5682255236692616,0.5790673866506724,0.5689676432983065,0.573183964073252,0.6183581670682823,0.588443705528205,0.699142844074901,0.6450256936112027,0.6516474459624647,0.7964565455161348,0.968302526166714,1.4408034345525,1.6547823067959628,2.119279207830355,1.3528294411660344,1.1099753794191383,1.4228288354666974,1.4291335714633915,1.1527083951664283,1.071473920113765,0.9109512922365878,1.2621955251059678,0.949147577641466,0.9120771546134873,1.0269902732153962,0.8628080380816926,1.2669928204580534,0.9758584541526895,0.8754876981310791,0.7359320129724332,0.8283607830797756,0.8365682482461766,0.7558456522677636,0.8384826579106175,0.647094151909855,0.7927957048772868,0.7603549656446058,0.9632480450655879,1.2250940417659513,0.8268843262971685,1.011656447031084,0.6936899631522502,0.9802676525064654,0.6653721668527073,0.6354208572932567,0.6973344854676263,0.7705624826272738,0.6336474750755008,0.6969234221930356,0.7989110643380479,0.8750568663819589,0.7427995486625312,0.6053932720728185,0.5951802871735209,0.6615964284654609,0.6006415420240215,0.6016694041461443,0.6215109271383802,0.8174942451108734,0.7197606190588839,0.5704986777413477,0.5683539706450997,0.6291209784862161,0.8219218374628744,0.5524819488803018,0.5259887561688174,0.5773625615849642,0.5559008096315086,0.6834882726730404,0.5938225962664351,0.6508291777121759,0.7008869492235537,0.7119677982697918,0.8582008870328021,0.9014100471499369,0.7674764021721402,0.7643235798439671,0.7351213729507067,0.5688602079658778,0.5236468115250282,0.5201146419315693,0.5680008850741408,0.595540901854112,0.598119831459261,0.6233607000444596,0.7074295603543604,0.6214526073759836,0.6736576717259956,0.6585979162886691,0.6656417667161766,0.5485661767925422,0.47743140358219865,0.4913217035132921,0.6143280998555622,0.6192206807282797,0.6582713518172685,0.7183862132937838,0.8023943754300348,0.9040316262129172,0.8709784843768954,0.8103497328545479,0.765183543926707,0.6399169917420793,0.7309238223944743,0.5524635725431299,0.47721785004379935,0.5517260755645701,0.6439873848885944,0.9665876831075902,0.6689367267461053,0.5655719969466132,0.5679018856291143,0.5465088759297347,0.5407996662758224,0.5432782863665842,0.5396436722332981,0.5284361493977164,0.5745664620089468,0.5295620918851793,0.6564088980815851,0.9471628343772025,0.6880939113494787,0.5703685686023325,0.5409701973316546,0.5599276525617501,0.5504742440225808,0.6289466187780351,0.5897911088030761,0.5760674642300213,0.5804712201609884,0.62333985849817,0.8418685716751362,0.895563878326147,1.0002629224217998,1.269493397195458,1.1237187356162843,0.8056482075259951,0.7449165306745741,0.6262449841061734,0.6562437214345561,0.645808888679487,0.6377232873509654,0.6289116826234304,0.5930802328167952,0.6896751558112375,0.7086953205489475,0.724018233714128,0.7962627926422179,0.7105161475604566,0.8306430009206437,0.9314264286754973,0.8610862909119431,0.9178603358950377,0.8730634553252878,1.1092815102370919,1.2288971347468203,1.239156432947155,1.456860622644197,1.1299711793228642,1.2272991360933176,1.1851567385580586,1.09792579104936,1.206571639013301,1.17342423030384,1.101785083981063,1.0372793654887689,0.9964965481591231,0.9936183721491092,0.8831769219327128,0.76236060761245,0.7703934222285823,0.7777222666975065,0.7000015114066876,0.6273540908959245,0.6857447057746704,0.6698875714791019,0.6109780033754209,0.6099493550818967,0.6303015310224068,0.624687929874077,0.7511310498224536,0.7881394155115444,0.8074006173824031,0.744949637495596,0.8238113745243345,0.7541084298007763,0.8064301508671279,0.9836879333287796,1.3516637579559554,1.350841571246976,1.0729197640986547,1.1758065854895088,1.2501103120805843,1.1695263354831507,1.4827906429804336,1.4081330732712034,1.2171281068688489,1.3157638915911969,1.5539064966918164,1.3570161134407133,1.2950393511578597,1.5927752158187825,1.6235162949416984,1.39371657924557,1.379313727614365,1.1069916622129605,1.2032630708500203,1.2608638624681263,1.1173159767003118,1.1747385030258142,1.1229272589377792,1.1874471527122905,1.093693324705693,1.0331034450203291,0.9710321451384243,0.8756244849710407,0.815156107640582,0.7763001192889225,0.7277165834376527,0.6840584518479269,0.7677623337545837,0.7062243751118833,0.7825188320613273,0.6919978839188367,0.7198842820742793,0.7365602635560308,0.8550798650570336,0.9216348371965705,1.0475285103909229,0.9169893401589001,0.7907983984721623,0.9875180767637252,0.9970714243850021,0.8996161138388893,0.9355055232461869,1.1792502822193363,1.115631675385023,0.9047127025617294,1.1116658350623092,1.3675400115614935,1.2845137401340747,1.0743599771721448,0.8718309378975835,1.7602526502349918,1.2977387396680178,1.076126786622686,0.78082940760003,0.641638006521268,0.6730347217756542,0.8651367771761894,0.7217667334562035,0.6370867719577861,0.5744328500801472,0.7441380733294886,0.9805155553722645,0.8064655848755852,0.6418338242678833,0.8487986139754314,0.6647806104870541,0.7372664556746529,1.0070032544047942,1.0542906329975548,0.8967904352822473,0.8145244460220769,1.5335085188071131,1.8754444316679677,1.8627608684524661,1.7520804012811024,2.356252706529744,2.366109844565726,3.5486861355073587],[0.7347503199475638,0.7828435072100837,0.949543964462586,0.6900521288565732,0.6629017907879268,0.5288283735596218,0.4838220112361839,0.5215144929856698,0.5131595922328297,0.5245419592032678,0.5478079131718645,0.5862627655331701,0.5697093082258694,0.599923487868004,0.6422961704729387,0.6096981095529378,0.6085470909822213,0.6700710823387723,0.8037909497207184,0.7297530193781699,0.8949911131890179,0.8696267143225207,1.1571028396732228,1.2379323426048412,1.0011281930091545,0.8724736911450913,0.6946171660625102,0.6373275507824815,0.6187181649225496,0.5951811426938768,0.6348635595183335,0.5979317882380635,0.611648121060541,0.6426656095354515,0.6548277065475051,0.6569612743061314,0.6404046120210557,0.6910024453184139,0.6659129564235647,0.7936104768357137,0.7464162367124375,0.7627370913138873,0.9232149583912262,1.0709701462321033,1.5301457391045026,1.6790426027436747,2.219918080700815,1.4995730308871744,1.2007359898485481,1.5668220871384329,1.5927014608808017,1.3001197641868343,1.2084406495450337,1.0239118949605577,1.3723399891945172,1.090445281337219,1.0235341749430054,1.129135568962346,0.9596266339013304,1.3728212546497383,1.0795615831750442,0.9687282146407867,0.8461832129721243,0.9535912892077896,0.9388067816206774,0.8549587871005441,0.9406091136167697,0.7355960576514374,0.8698053417217964,0.8351249732978635,1.028434847230657,1.3197812113870186,0.9138654058852085,1.0972726088059217,0.7684945950677451,1.043994625092236,0.7612369595654734,0.7427027923924123,0.8043070043003039,0.9013482492893773,0.7049195968526264,0.7737456980458292,0.8419681313777878,0.9671663600283926,0.8315797793243863,0.6826427744540718,0.681561970310302,0.7255160999167647,0.6938293899736413,0.6796530256669954,0.7000882879362651,0.8945486386117685,0.7963017901805017,0.6421643602452939,0.6271578475849071,0.7017872757072142,0.8819190494421011,0.5937149800994719,0.5583415819205314,0.5901966942790475,0.5874692500979976,0.7096190250472572,0.63495805531305,0.6807860655312467,0.7466909417071258,0.7431693085369144,0.8944656657318921,0.9379619631447524,0.8065339645069818,0.7932739818591081,0.7485542491548589,0.5948476947364637,0.5402379826933177,0.5520010297572348,0.6078223283423356,0.6446530551788487,0.6454077408793241,0.6894219586155285,0.7892711331824762,0.6909400227016461,0.7493608435447343,0.7178661856564021,0.7072191230178733,0.5879303756909425,0.5082571429061494,0.512770284438835,0.61328115874425,0.654611831837835,0.6870793265262104,0.7612704838056902,0.8461499296183331,0.9519540255655852,0.9244229009779642,0.8578710325702228,0.8132897501760652,0.6593187101188145,0.7842856896616133,0.5713611694541465,0.4893925658546273,0.5946054594046308,0.7078344118032399,1.0051771575097486,0.746335603584495,0.6290416349870538,0.6431097494611431,0.6123269983938444,0.5953782134620658,0.5878050264706577,0.5695915398091789,0.5555548008678479,0.5911599741472202,0.54250940487376,0.6754545118927098,0.9028916752878162,0.7107983112458338,0.5915615930370188,0.5709949385933798,0.5858208852036562,0.583947693086142,0.6703109837212858,0.6354628157062987,0.6352175390682756,0.6459874535365842,0.7111152244815304,0.9395094860174644,0.9230184823484451,1.1029913321737486,1.369243610173752,1.1663487161045267,0.8156801607716779,0.8036893116788546,0.6810338613415244,0.7300195850163594,0.7170486452792157,0.7015986198913364,0.6847022013349876,0.6486575278266733,0.738417529606627,0.7861801143872861,0.7897583863582432,0.8723161101896241,0.7666392974490069,0.9273724880554138,1.0286160064669465,0.9454098297663363,1.022558960506819,0.9785512605474054,1.240929214170228,1.303810226628433,1.3740855529799143,1.615803978835151,1.24024079690773,1.313249940491122,1.2357515488459088,1.152751889884973,1.2585209776948991,1.2172328981694391,1.1574166269897315,1.0883397456483008,1.0478695806412002,1.062638461853604,0.9460748411898918,0.8101303443050479,0.8211467950813639,0.8365725999294776,0.7460788989053859,0.6653669561084292,0.7309759692090888,0.7162235121302248,0.6463347892561855,0.6348919885954915,0.649331661444275,0.6580909528067443,0.7757688409681586,0.8088261265371857,0.8377107246110818,0.7651932173776009,0.8429689236773108,0.782978295807857,0.8442308762632347,1.0477150653429075,1.397053367582431,1.4392375461334892,1.1571826666259584,1.2588855438433617,1.3467561940183765,1.2707210958212751,1.5906099507175184,1.4953461490370632,1.2965423752807537,1.412140783770597,1.6472033359509626,1.4260691102452034,1.3732707249476985,1.7123483646348054,1.6894335024285285,1.4397805835802475,1.4471349211289883,1.1709576725281683,1.2833166190340395,1.3652248567329461,1.2092619182055857,1.2745732225436983,1.2068653026985403,1.2739013056218202,1.169390819971158,1.1074987728743442,1.0483810667797258,0.9341562989411227,0.8791598716734771,0.8365141843499425,0.7769974825215195,0.7279527011219015,0.815436871157517,0.7453214566351098,0.8008613584266927,0.7255296085205898,0.7639636372690797,0.7848408794166222,0.9134668579835882,0.9855817025723498,1.1223862219400427,0.9818573211883388,0.8471242412568104,1.0553868790347634,1.0684125371046933,0.9515434716688925,0.9924819828560674,1.2520176316781362,1.1608881293086444,0.954774677273288,1.1681098249947859,1.4382043370329922,1.3274707105454244,1.1118792985376262,0.8967087916372105,1.7662809656871694,1.2621298792057138,1.0751032206773874,0.790564902737649,0.6674429143975237,0.6950387113868258,0.8895692496792722,0.7426564476197981,0.6622430739768498,0.6288294931200817,0.7955489095605103,0.9998341506670991,0.8493010896819464,0.6698411149092347,0.8766859478715541,0.6918401283320957,0.7764797945637563,1.0409639102696528,1.0494004188596646,0.9024361025076963,0.8273615852213987,1.5396086880317201,1.911282361371709,1.8766374924497502,1.761739891463124,2.389691493610571,2.395778308478727,3.613770713472175],[0.7750376101194989,0.8104471615552998,0.9300809595175246,0.7301375775484852,0.6360612777133996,0.5143331477989542,0.454553961876424,0.49371332604058754,0.4776667930782039,0.46837745069224834,0.4872916240945591,0.5349240650640534,0.5090778560316215,0.5401527489636587,0.5817649369965767,0.5563053429106798,0.5663619599717487,0.6276507989878549,0.7625827085234599,0.7054534862890709,0.8923462082727575,0.8908696092242575,1.179577783387776,1.2603160109892848,1.0066714617730148,0.8614267304079132,0.7123783518564064,0.6111654024728299,0.594227840253764,0.5603184721653228,0.5903231933746582,0.5645849172618735,0.5658630805182762,0.5974272073221598,0.6252632465307819,0.6299998213828673,0.6127179204520156,0.6803609111798682,0.6592411977550131,0.8059670970811315,0.7652668292826861,0.7778305246922219,0.9745053765159006,1.1285442586885015,1.597851098112923,1.7183559511710171,2.270975946143506,1.5677117724689242,1.2356686666757815,1.6164865151579928,1.645127836255978,1.346973831376151,1.2472429587538423,1.0513363124654345,1.4065309408794555,1.1216381386781737,1.038036563600204,1.1767226898529164,0.9941671936503282,1.3713045833719022,1.096546962207548,0.97877807225703,0.8402775449522436,0.9543180062451231,0.9481749619917907,0.8593044364109665,0.9251035315886277,0.6956647284431182,0.8343172506067003,0.7968623719905901,0.9739068552918629,1.2777751738919028,0.8781710887250852,1.0792747371059848,0.7331685098463777,1.0688875228370274,0.7384691245069274,0.7205630144791317,0.7895554295349851,0.9041288171094042,0.7061362190280128,0.7885139557942777,0.8540375041227811,0.972194550134409,0.8428436947800318,0.6899600045850679,0.6785872120723634,0.7140093449616637,0.6845165739942617,0.6515943277708851,0.665583796889272,0.871579354340741,0.7565699757231827,0.5993987146286757,0.5767010468317834,0.6456176778945729,0.8137193722609884,0.5477668639589935,0.5136812969323181,0.5454901132169495,0.5475332698392831,0.6724601030383861,0.6008128888642298,0.6565666054023371,0.7140660157745039,0.7160441662589511,0.8642758751535431,0.9350880518248639,0.7647518013922514,0.7735041328620842,0.7157449391725772,0.5567211577678015,0.503571954295456,0.5150807121017821,0.5517019368378552,0.5928141794908975,0.6070841031305108,0.6504935410004731,0.7445950052651259,0.6504217290552566,0.7079141876698466,0.6740895913452911,0.6618259246898764,0.5372635343985525,0.4540078243965745,0.48185340350889233,0.5870671382819861,0.6129826779035937,0.6542662897242257,0.7258301636120893,0.8270416191623748,0.9507104355270048,0.9204094505921461,0.8574116745678011,0.802273552627958,0.6567710470205219,0.7431635456563367,0.5672440937751668,0.4794102124789391,0.5826940790669708,0.6926590173569657,0.9736399238991966,0.7255007091117339,0.6171743626068834,0.6437882458202752,0.5936423753749049,0.5706380582790453,0.5538639763693717,0.533585778524591,0.5057845317455505,0.5477998543897714,0.5072580504416607,0.6336772387002688,0.9150985962326572,0.6905554426116269,0.5391774715898037,0.5096340516941528,0.5404002427965388,0.5414081931947711,0.6319411952951484,0.614082828731713,0.6172166265698084,0.6388808706980083,0.7092261204818692,0.948940533712374,0.9139249570402502,1.114814082683867,1.3734657643050965,1.1708242688882677,0.8315868438760086,0.8018982993524125,0.6797105729316053,0.7244818069268999,0.7089134542371163,0.6938246029717486,0.6634744369224045,0.6263218420173559,0.7286821543115725,0.7894608821789559,0.7808382229444549,0.869381889888317,0.7473527150080839,0.9067913889334914,1.0322080337552917,0.9510378167175867,1.037452671847435,0.9959098882856923,1.2664571457441522,1.3309235771162686,1.3761357342025868,1.6123548896698785,1.2434895047072465,1.3086938585999923,1.2381969268008868,1.1587575577706535,1.2656618696780162,1.2187110479017955,1.1587961880096311,1.0794858928228177,1.0227730948519413,1.0649388021147612,0.9267025465352208,0.7821831104050939,0.824553703823537,0.8447420572322214,0.7344113968289437,0.6705017471127064,0.7590270152514336,0.7368511076347446,0.6709529709715212,0.6774144100964512,0.7123649918504624,0.7014783076633176,0.835405590415384,0.8640264936555326,0.880968829625184,0.8791952956491018,0.9429965778384881,0.8586263752093779,0.9285818859006644,1.1403073530927268,1.5965241505026415,1.5063263738058648,1.253734721106349,1.3342841168163115,1.4167490800468647,1.3211411749618727,1.6752339787574084,1.5861881954620527,1.3590579013504982,1.4531813654336883,1.7218238340680057,1.5144976618810648,1.4168925806047097,1.7793422008219395,1.8036884600856133,1.4952562405959178,1.4683559294003696,1.1895022510375546,1.2750482968482346,1.3579664528153637,1.215790682771207,1.246968324179522,1.1968768576185635,1.2285032865762449,1.144303062468379,1.0999499605341412,1.0192738974411273,0.9175205087202538,0.8679269682616453,0.8337337763725102,0.7647615317617371,0.7225493543777216,0.8378164246961651,0.7700013776179739,0.8445235537999418,0.7746216666205255,0.8156054133046585,0.8329525823278919,0.9579081262092486,1.0070215876147022,1.1584426706281656,1.0467180188457703,0.880014254483086,1.105614998458938,1.1559781800307123,1.0446496504781728,1.0492990459916987,1.3575064773388268,1.2827508274398935,1.0254369673843602,1.2523534523268445,1.5700132706081753,1.424041182882359,1.1562216763130868,0.9305907969989576,1.7465850360175867,1.1916244090353971,1.136443453669439,0.8768149988308086,0.7222894393764356,0.7448827716879936,0.955443616247137,0.774438195461557,0.7171521533960195,0.6176417417447069,0.7816436344052522,0.9215139117341933,0.8276669196506828,0.6361072499593019,0.8655177075065492,0.6631888575044875,0.7358818370963822,0.947940883404329,1.0662035992304866,0.9189462454905334,0.8459395909350874,1.5871872059229406,1.9254243922724747,1.9752531797579678,1.8424221605458588,2.47410207263005,2.437229212020969,3.5404011753896745],[0.9679075471899992,0.9938098941661646,1.1296999714852913,0.9788563122439585,0.9685233987743016,0.975813593282949,0.9826299897158369,0.9982093326472574,1.0523753946953194,1.0929759021422505,1.120443995634743,1.1627211355696554,1.1385038555185807,1.1867058242770732,1.2216060122909136,1.1922948395582593,1.191320398074044,1.2672859117568487,1.4124890293554777,1.3198988951315422,1.5120125364348465,1.4818674852621188,1.677374146731866,1.7761737781817555,1.555727264196864,1.4828784849344363,1.3139262112984222,1.2605436621554056,1.2158882178312758,1.1690428210631636,1.2488860632611325,1.184155974972301,1.1915779053835411,1.2345009187780522,1.2298815939859915,1.251794455161873,1.2307486021703922,1.2979483698296346,1.2566477018608087,1.350139084897339,1.3092241261305906,1.3576986042754096,1.4929192039398862,1.5810712229156925,1.9577176101488534,1.9889069930052339,2.477963695825686,1.9265591842593806,1.630669347400253,1.942935329026844,2.0030891436076934,1.7162861606178523,1.6429319207170874,1.5130950308644604,1.7860319722804954,1.5709941104752398,1.509450644034959,1.6394670607510171,1.4942210035434838,1.7807224814186762,1.5842907004684614,1.5430377752815538,1.4426632126834813,1.5905668272020363,1.5098091290826288,1.4505788017939225,1.5373785402002056,1.3524248896403324,1.4664873127139673,1.400087924951997,1.5612464766772591,1.7881309748347518,1.4955994960420187,1.6226087540237522,1.374241022299688,1.5983203104979375,1.3789202086529941,1.3682140373424272,1.3917688915984152,1.4764765786566367,1.3000218289934073,1.322902603842185,1.3295499696442976,1.4672007715171322,1.3094925358475034,1.2455553571657718,1.272438221057577,1.2399520749680755,1.3014641412743178,1.2835665951142936,1.3273624456656306,1.4765256323475788,1.3953171431319626,1.2560631502957593,1.2245981399924915,1.2844990927505229,1.3443005543281974,1.158753974580897,1.1147358599299175,1.0688383224794284,1.1264697155152659,1.120472453634332,1.1096826259641779,1.137249969913631,1.1891700843142534,1.153096840744672,1.2358254195214657,1.2794159170949522,1.1799860909841076,1.1326613836023796,1.0886199887651657,1.0433767975411037,1.0221593790352224,1.0636857554414902,1.16671345041546,1.2050038803118346,1.2657443926459253,1.3006086062267495,1.3999316501085302,1.3220716057781947,1.3658047312555905,1.3097277650775896,1.2917748432503173,1.1655119679851496,1.0589085015900626,1.047747173673694,0.9998079493523171,1.0583008108239387,1.070107426932897,1.1492836201352634,1.2289352700452456,1.335489757446825,1.3207409644426993,1.2764414105409914,1.2119471096115855,1.152165869042125,1.1553021116136972,1.0906276372306358,1.0884832533190838,1.1863980282684412,1.3546616161363008,1.4780266463071305,1.3491815039979163,1.2523960180471139,1.2442991987337568,1.210392299896198,1.1675462791489368,1.1235130765276025,1.0949295270199573,1.070985256578516,1.0322099937384184,1.016582459407139,1.0750061514084241,1.2193176641517152,1.127215759870099,1.0406288740434646,1.0736134613142492,1.0628672316028012,1.0992218395586897,1.1523996779128267,1.1432020265580007,1.1814370219456884,1.199354447584444,1.2306773880554078,1.3716188560900269,1.3369640004969285,1.4490145383485615,1.641287844481776,1.4363189965245766,1.2481554388863976,1.2187515116872079,1.161095661990717,1.2151448107878922,1.2037942440291922,1.1970260354841655,1.1689488608771537,1.159719371775337,1.2441612743376473,1.252807731516634,1.2475980982485515,1.2959318355123586,1.2147739896644596,1.3063457613046963,1.4116826888532128,1.3765527095848493,1.4870012441798415,1.4740127806210606,1.68487821340881,1.6784329812901462,1.7423892925190403,1.969758871533636,1.6593296946705034,1.6884280194990176,1.6268928833402045,1.5486719615220577,1.620184908134546,1.5906673242885465,1.553958538273042,1.4691053520006299,1.4163562740017512,1.4944857938955403,1.3679010977030497,1.218971877918831,1.2561114199256305,1.2989246629723648,1.1936782399203012,1.1185488888989652,1.2004194192020587,1.2071029869433199,1.070288109420979,1.0881507966885124,1.1338285238005112,1.0833131779308234,1.1277348699197725,1.2419651096071294,1.2532231399770204,1.285868000315007,1.3615912099487837,1.3046857105207343,1.3872776539668499,1.5951253982439,1.8521059782816183,2.0142019199988495,1.760027163964365,1.8147642905579717,1.8929940137780799,1.7863248032991923,2.13711842647819,2.0071418275408566,1.7693337051495612,1.8878443597316403,2.143432288166176,1.9127001466837725,1.8222051838288311,2.1783582363205354,2.1507109268632716,1.8765047859341513,1.821191524202021,1.6019392628014957,1.683212304698891,1.797574234501149,1.6559865046661582,1.6899184217082093,1.6504887398743513,1.6237536834803026,1.544301186935752,1.5184480413172283,1.4572859152764295,1.3545712518153656,1.314209443087634,1.3023158246831505,1.219429579462433,1.1909879488224897,1.3289100827084366,1.2511011714039117,1.251856830764108,1.2295610999378146,1.2966714218983313,1.321665869519669,1.4581620177739987,1.4953662487766017,1.6715850307545839,1.5370656724880882,1.3643443695514221,1.5917594295649786,1.6243246333355161,1.5105315533460113,1.4844469735247314,1.771631223551955,1.693353956584001,1.466421601364932,1.627590985335873,1.9606978867768248,1.8380332281923353,1.5662404883975267,1.357983200662333,2.058655073939701,1.523093545819742,1.5218208024970132,1.239396486097764,1.123207209330293,1.0748375495978597,1.2495522698129993,1.116212114547647,1.132112860978074,1.0558167846334783,1.1999594500937947,1.1812084803349043,1.2389902084705808,1.0368259001884972,1.2107486464172634,1.0744479694100553,1.1155924319285553,1.2689124806169587,1.4144947720977221,1.2792931140694397,1.20797004767286,1.8405624496756858,2.1099598426026605,2.121352947977347,2.0049469978526533,2.5883686750044492,2.5593405981531614,3.6003726160480087],[0.9271216547097103,0.9467197345640046,1.0370711923567717,0.8026231134895738,0.7083812666981231,0.613023501273743,0.5442948736213503,0.5719994701084669,0.5552876620679238,0.5376864186213046,0.5549234395928263,0.5663369774227169,0.5686333747817208,0.6046275506650273,0.6631943142726889,0.6285300212180751,0.6493788644625237,0.7262046952034321,0.8720445488342984,0.825476522776519,1.0170024998111173,1.0324259738880308,1.3238179125815617,1.4104893725232315,1.1158142132361686,0.9741242596492813,0.8668421792449722,0.7106355008497328,0.6858825780335936,0.6362283463227827,0.6760576832990747,0.6321283191478817,0.6297339404389544,0.6704155789156222,0.7056539840524394,0.7214602379606238,0.6858934379958048,0.7771176171894731,0.7740814736724586,0.948786719649731,0.9029867900974158,0.9238408025718716,1.174058729364306,1.3063573521411829,1.7446941630608026,1.7965462766141664,2.333396494147248,1.7197197061419978,1.337354807532628,1.779634735115142,1.8133965909561038,1.5010732180265207,1.4196071101614034,1.1825738331230693,1.5411337904392524,1.277373023662879,1.178500054952646,1.3725881894323475,1.1646401663168906,1.4732553031983546,1.2197375135461261,1.1098463329754504,0.951271068332516,1.0835089837567475,1.0988948527098374,0.9713744117155799,1.0297028745880248,0.807788420608791,0.9363547324371084,0.8930732966728474,1.049062021934012,1.3915227507161962,0.9832331686431441,1.1721247875293523,0.839013273227279,1.1879061138018803,0.840463216601594,0.8095870693962093,0.8520034139923747,0.9829718596599829,0.8180442135274555,0.9261030347134954,0.9291566966137146,1.1009595107840884,0.962684135931935,0.7834670388966084,0.800097030194846,0.8185793441937462,0.7786544811685394,0.7280246684585984,0.7609780198907464,0.9807617780766823,0.8349708793457069,0.6873704550876923,0.653430359409266,0.7232033776813757,0.879907079919591,0.6064883979211999,0.5718273842193095,0.6096796345149891,0.6069397227579348,0.7419667428456217,0.6919798727676902,0.7391787300920154,0.8186259763603009,0.820089046432617,0.9670177301599512,1.026789253501648,0.8712778816944243,0.8846413843361666,0.8141788194373222,0.6517041751070765,0.5738787506604184,0.5904284809319011,0.6177195792729305,0.6620481878137191,0.6820798699830405,0.7387356455759252,0.875675777177436,0.7453645647691772,0.7950114065704849,0.7374884604769985,0.7187713141931062,0.6147399573712117,0.5293113385531115,0.5595708876600584,0.6604498304230687,0.7123887676830765,0.7590751412783836,0.8246919076093681,0.9198096943920759,1.0472802441347844,1.0142812727491286,0.9601424823838073,0.9160467517097158,0.7281042536470513,0.827347427210085,0.6519308380469231,0.5643062270351609,0.665734049031335,0.8019696218422226,1.0290135212144884,0.8257277413847363,0.7070695980374475,0.7477583237479173,0.6890328976736442,0.6608226227596209,0.6272862002779234,0.6015504920838164,0.5717132702341494,0.6337487932848797,0.5810033116564938,0.7159119128627299,0.9631066974008001,0.7455519478831046,0.6122085524277205,0.5848439070054844,0.6030457718311163,0.6002773199097386,0.6952759912323272,0.6908757323137409,0.6948233399582493,0.7312371052461059,0.8190231108537882,1.083272004768018,0.9878981175713899,1.2197680445855081,1.4486012672935855,1.2233425417357715,0.9101496049624253,0.904524655281346,0.7876570700242891,0.8358699369015351,0.8117036774720059,0.7897001360824222,0.7551289418779443,0.7219695394737446,0.816660694707582,0.8783143212555901,0.8815652300959068,0.9771744956992235,0.8439506601724517,1.0174738842833573,1.134781324810688,1.0655462991245714,1.1715653242738187,1.1404034371260774,1.4276020548911361,1.4371789902247292,1.524226382608032,1.7332288152093747,1.3559509497939557,1.390962805466407,1.298797098963206,1.238374424929197,1.3484357030979037,1.2852063103715305,1.2524188546631738,1.193800703049565,1.1144978030726116,1.2007184186679718,1.0598283088755154,0.8978541734409844,0.9725858094103671,1.0111775982368818,0.8795576204047971,0.8311674569150659,0.9373076997502244,0.9174420468544713,0.8406192129991413,0.8762433124848932,0.9298889125763387,0.8867332475196853,1.0039549992512897,1.064245305573091,1.0631745196261646,1.122241920814039,1.1877497774967802,1.0830892837210615,1.147535093722215,1.3622145529322862,1.8449930881299543,1.6962198582623205,1.5089648014607537,1.5558038121977429,1.6462528992087209,1.5093251523020546,1.8828595884663732,1.7873987767556254,1.5457170762903836,1.6377581675895019,1.928384884351758,1.709832806170477,1.5913193328017763,1.9773524969845753,1.9858463827312296,1.6581003380531847,1.5951985593793334,1.3248394068684097,1.3864254551037078,1.5121230048956498,1.381950301657432,1.3979704972127323,1.3591210355365777,1.3612532346380788,1.2815867616305385,1.2553222226481628,1.1604871852863943,1.0471774887891634,1.0231858268351466,0.9958396080586893,0.9229510155438132,0.8809733641774745,1.0055847759107936,0.9473194761869463,1.0015751205859467,0.9786194324712595,1.019796508880798,1.0385125494414709,1.1472466663567664,1.1910344256016858,1.336782500227024,1.2719911946611446,1.0759802947028625,1.2934179295421289,1.386357103911582,1.2695377940173664,1.23839958584489,1.5772997733074847,1.5230132310246105,1.2307188375159004,1.43340146238995,1.7852288240380767,1.645474187609152,1.3340578985834188,1.1011349532697157,1.8362293461069472,1.3049711993027504,1.3417977296712753,1.1012422568490456,0.9365500886508404,0.9283461679547872,1.140682869360593,0.9402167749159351,0.9091058948050227,0.806019968699424,0.928738100132136,1.0065848573759315,0.9318873418807088,0.7427626056012969,0.9281403569591403,0.7711922274383595,0.8594733467436348,1.0251059766470625,1.146289535807026,1.0212802346683816,0.9503434453238397,1.6497824755534838,2.013806733175151,2.0697959859151407,1.9402749920970168,2.591050437116526,2.562758793417974,3.61139662593671],[0.7967638630865953,0.8284498176698555,0.952825090771238,0.7967536679268713,0.788120746286674,0.6075029091666508,0.6307079804955975,0.6477891049941311,0.6768286309241863,0.7209326065921721,0.745959407433885,0.7320711120842043,0.7635650416554339,0.8163903929564582,0.882921065444498,0.8426238550696385,0.8797187348054399,0.9560733131852169,1.102592210387943,1.0727594616535616,1.215133584579879,1.2495720864082744,1.4966818700756805,1.545307572119653,1.2879930537516373,1.1772903394166905,1.1216141811790736,0.9513930817139755,0.9252103143215199,0.8652937114493853,0.90483937061068,0.8496120807678214,0.8384448093541603,0.8988830945644947,0.930674732510186,0.9643888748055979,0.8884950672029094,1.0084567045679045,1.006999748127751,1.1238701152292585,1.1047342071166442,1.1506300091982338,1.381330733533093,1.4927040521480521,1.9505622085142393,2.0029617322353537,2.543772434602558,1.925203738598558,1.5340421471961105,1.9324586163246413,1.9064487025662082,1.677136144186865,1.5962290995572435,1.3602518854177144,1.6486830358171214,1.4582709978680775,1.3725174287565987,1.5497719088621322,1.3549572369952816,1.6215617882618687,1.4365661523057216,1.3229738308770402,1.167653840737185,1.250829433401956,1.306541032850858,1.185111512383757,1.211973865193102,1.0498841156801886,1.1368247354942047,1.1233633127373626,1.21715398295976,1.4992546892139418,1.182017919771076,1.336996232008496,1.0636407624408972,1.397177991129018,1.0807308442245347,1.0552856066994607,1.076374457729858,1.1849998631082885,1.0328085079119242,1.1127165162011994,1.101540559710504,1.2207824506117744,1.1428789290479178,1.0130400941266744,1.0345819954850086,1.0422070021727614,1.0276164382360888,0.9701171852094133,0.9996955693476604,1.1941153807957807,1.027074557339883,0.9160771095108086,0.8736408301104442,0.9294810331101782,1.056428758848459,0.79485213999028,0.7500197681088272,0.7487110337735575,0.780191257733232,0.8049650435035764,0.8346984582082609,0.808085125847414,0.8609173322300931,0.830010342946578,0.9070112070918253,0.9579044119174256,0.8031220953043359,0.8729191494769106,0.8146202365210862,0.744763908485199,0.6957643463468278,0.7527537592010158,0.8025017529106186,0.8707097486364342,0.9193163957177883,0.9558065313944148,1.097399620209885,0.9687747489977253,1.0084397975873276,0.9351560464340027,0.9134971213307818,0.8217789921994455,0.7257832118140158,0.7198211802609785,0.7481697879937866,0.782854200473194,0.7864515400927696,0.8427367406554244,0.8636851569985341,0.9413901629207133,0.9801318893608011,0.9325397525039737,0.9424273639502592,0.8214736545309512,0.8800731319275589,0.8214331691040792,0.7882052406389016,0.8739216489964488,0.991066072971525,1.243780984993146,1.051100565083061,0.9393317706523991,0.9714238454126484,0.9292237331131822,0.8891219237530177,0.8299927429764244,0.740843991028622,0.7230125693529602,0.7644677460120863,0.6864627206172419,0.7838178601133574,0.9766722366447538,0.876117086259901,0.7110419786562767,0.716984285795915,0.7192745996486596,0.7696573240377026,0.7733944373774165,0.8434990337973447,0.8733539122631361,0.9180076407595642,0.9915290097654884,1.211833168457384,1.0975085750229105,1.3440113840748764,1.6184181889635896,1.3612963206027477,1.0792342671761435,1.0231281704311552,0.941156864635056,0.9716633552404383,0.9448620033733925,0.9228007852999855,0.8675825059418844,0.8880148852559085,0.9347995714057796,0.99959987511689,0.9702526313772609,1.0900142084843605,0.9120053760430162,1.0546719362931138,1.160418177808132,1.1403402592015572,1.3039241357493851,1.310040329804757,1.5276221118944733,1.6017735504681583,1.6239650915656645,1.8007244254132588,1.4210509388825923,1.3990831773908945,1.2807233623589627,1.1674453239719471,1.2432198662763885,1.1953737772832083,1.1260800104043767,1.0347851176980134,0.9813982218167739,0.9809859608339642,0.8500400829140378,0.7630137241209102,0.7762619555584944,0.7720921396789933,0.70209708050234,0.6739709441638229,0.7341369986879053,0.7016020393882867,0.7357309871379293,0.7459808743942584,0.7721656268965342,0.8244211293682698,1.0079221428478824,0.9916597784691049,0.9716815671664275,0.9375322765768559,0.960808056722799,0.8573360270534451,0.9056799753756006,1.1034427104423112,1.647807629681215,1.4318362515070433,1.211658336840374,1.2632981306036668,1.3292940330852894,1.2157120424654528,1.5722604882394906,1.5180230375624642,1.2715510948431026,1.3529285393827346,1.6666241858781796,1.4629715010869704,1.3366944985559956,1.702363630540256,1.7847122772805848,1.4487000080476675,1.401995766574229,1.1231115608899365,1.2007324354678626,1.268466684752622,1.1109901823814714,1.1459617712398922,1.103889041187988,1.1426258562284937,1.0495420714199817,0.9684521773767906,0.9017001330308893,0.8381865477267223,0.7812168148334953,0.7471716683421484,0.7164614330934148,0.679904462095874,0.7572853091871935,0.7279290232603738,0.8765360576189063,0.7794470998537262,0.7937835817132229,0.7875346168443917,0.8680239359308134,0.8949580031838623,1.0468044550281908,0.9754306118115675,0.819330985420736,1.0042941090099493,1.0992130137833929,1.002139513650307,0.9774760943621706,1.325985081011698,1.2879354287724738,0.9997082263991082,1.2182782590436518,1.5546379009526228,1.4581655843900656,1.1583770344805093,0.9321309138363906,1.7537587427278518,1.1769278419514222,1.1401322882283031,0.9696207620247949,0.7833161387475276,0.8880794790920559,1.093910399600983,0.8396049995598058,0.7666874035141805,0.6876247024362163,0.7930577387758776,0.9545125310030734,0.819515935798534,0.7451701115875905,0.9069343066236277,0.7165289558601189,0.7424641564392931,0.9265231990048447,1.1366666745504739,0.9690719385223759,0.965930936163085,1.7288564986027595,2.0698003522086066,2.1586560909930332,2.0358419305331825,2.7357894080906227,2.66968440883387,3.695214642471671],[0.7825830250844076,0.8137612626706789,0.9439671716415737,0.7203713475370295,0.635375073242777,0.5553039819025697,0.5152796181958343,0.5467208840265305,0.514825388509541,0.5281697936952364,0.5475186537079683,0.5578781227196642,0.5366379148652894,0.5744190828020181,0.6227575566176535,0.5699874155925075,0.6069692665370048,0.6310682290765002,0.7790902160221332,0.7310840020855317,0.9108911597630445,0.9209624329508284,1.1893801657937728,1.2462477610276663,1.0036501285638033,0.879286270933996,0.7959774017123973,0.6199048167663658,0.6045474919821963,0.5610483628990103,0.6013155738607052,0.569742730792166,0.550171111629791,0.5858691825229151,0.6035022347868549,0.6246237272266585,0.5754756427026415,0.6731007897558543,0.6697695674571967,0.7879555420626498,0.7735235202079742,0.8219569812635962,1.0535400514197009,1.21084816008177,1.7493683887103557,1.8490992156221655,2.39509449981003,1.6848350907637588,1.3006428021720295,1.695093106789734,1.6287870585059847,1.3934296632833407,1.3001131393859253,1.0652018851437155,1.345785884784158,1.1449426338570996,1.0544529365802755,1.2484243229946628,1.0215800815047213,1.3705807306870128,1.1198794716682048,0.9757841924542466,0.8388736965786945,0.9690324564364233,0.9613882900946953,0.8648228820483661,0.9356810194882319,0.7188195954635727,0.8528502708464523,0.842298772382747,0.9672688073036113,1.3104954585280213,0.9201195457196938,1.1083971926579297,0.7564572657018817,1.220211508055094,0.7536752177591564,0.7233383288209927,0.7564889751652795,0.8751034210146701,0.6905430629609378,0.766895857920289,0.8734694003713457,0.9283281336190997,0.8609639066679496,0.7111167806155693,0.6812913642375822,0.70547325713162,0.6866198958504657,0.6571799417462318,0.671479298156085,0.9090357517299908,0.7648807703176721,0.6243335239460984,0.606008098012956,0.7009790450361287,0.8467943773196902,0.5752180632721658,0.5318400092659937,0.5984018163294298,0.5608869494899048,0.6553360915295349,0.5735461491392096,0.6051978503971698,0.636068095230129,0.6461075299003921,0.7486260561056369,0.839755709687073,0.6776052403575497,0.7761255003532109,0.6821021301372169,0.5431776637951954,0.5233294134099545,0.5314104818618428,0.5760713605082789,0.6034999308144128,0.6059780729097123,0.6528152649640205,0.803415952132758,0.6618863526984905,0.7175840738981992,0.6668629953047571,0.6546491112948073,0.5837320580879187,0.5267898985143611,0.5156549938386461,0.6070495174091293,0.6238982905410505,0.6126870312379751,0.6591955920717076,0.7282422472735655,0.8161925657907236,0.8225447824886302,0.7530779110088913,0.7441765304196459,0.6380442764007309,0.7416961172596341,0.5940708275639299,0.5056165754631122,0.5782420969840206,0.6806849351503622,1.0060482500919739,0.7330902413200127,0.6265191175036173,0.6565121902620525,0.6093122824807707,0.5777490950510593,0.568491177620937,0.520060675837899,0.5362292478126502,0.5837763496477631,0.5660881485976957,0.6532852819765859,0.9189841736302403,0.8079984514468983,0.5626144724117705,0.5253326816346017,0.538720182209709,0.5215748545736758,0.553366055416807,0.5998282666457689,0.5859485719001272,0.6256936532234967,0.6945089725930933,0.9420009396535702,0.8989666003577079,1.137020094217482,1.4743829863722344,1.2318321964120869,0.920225093132021,0.8241267345609059,0.6854272014579328,0.712252987388225,0.6814667090221778,0.6561484333233447,0.6056043211469937,0.6131603271379465,0.6716938014262508,0.7336577493283971,0.6978686875709077,0.8296789385097202,0.6777522438953386,0.8388304015871135,0.9770235061870876,0.9260891963873868,1.0765063807702062,1.0301399904525588,1.2816667054795194,1.431293587586072,1.4607659244834932,1.6605333515795917,1.247173988212008,1.282134811019671,1.1932100793116975,1.0626981796313135,1.145660644032051,1.126252438950242,1.0496609888893516,0.9741097416988793,0.9213825546268195,0.9391859663608019,0.7957937508996661,0.7008490725942168,0.7707578058404719,0.786009146852283,0.7204509805449458,0.720173796048451,0.7889865296682986,0.7531890436855614,0.7935175758506449,0.8170991138427481,0.8561293630065955,0.8996004003014303,1.077661536545749,1.0715939852632241,1.0428800445577382,1.0370284442570858,1.0377617009508773,0.9326310006892453,0.9824473143167844,1.1399516018645506,1.7165478672929766,1.433722878270279,1.2092422731729118,1.2227405809001108,1.2676673098154698,1.166670898893916,1.502508782555323,1.4891169247819656,1.2270741059438066,1.28352854398224,1.5917275311905665,1.4358502266025415,1.281101673819866,1.5683824145983265,1.7266229315850024,1.4247884618778386,1.347133949161957,1.0785952235807246,1.1178538865053738,1.1734543494818064,1.042260357147164,1.0574165899607393,1.028320553816448,1.021711592351249,0.9625971618621483,0.9316525376428999,0.8270706987118775,0.7770014442143178,0.7762633002661861,0.7576207398202682,0.7452528985511294,0.7214079018822561,0.8021176026953206,0.7986303528711864,0.9654458251643746,0.8625778888866669,0.869185949690099,0.8601328320119261,0.8941779326423365,0.8917432289067799,1.0156941755730768,0.9959311961373393,0.8500809219646541,0.9834894323436026,1.0968314056856185,1.0179613775275527,0.9823183420646046,1.2990581470867884,1.3351094944015298,1.0413709709178407,1.2190790205445736,1.554110294158215,1.5105170988831964,1.2160313582514,0.9915220634057769,1.756702622865469,1.2054526523573272,1.1919580406488752,1.0398537617453478,0.8546434967387715,0.9492160985046677,1.1356416776720484,0.8851814875356655,0.8140699693214911,0.7232878858887771,0.8091701478201395,0.8254253263670783,0.7559611613574173,0.6168958755368821,0.86147791133843,0.6390656113272197,0.6869536907367512,0.8228453313297203,1.1089163546486696,1.0136995031031095,1.0177752617828912,1.7809728544569783,2.11374598954051,2.2913288535404233,2.1635819278183233,2.9081662367493157,2.853352260069955,3.8627675380713895],[0.773588143069867,0.813423877454106,0.9274297044414028,0.7514400448090178,0.6356318232094909,0.5890185601582144,0.5519180090433093,0.5712033013228361,0.54089932632891,0.5336439915479435,0.5656990412491215,0.5839037593636741,0.5487673859177576,0.5828765983346137,0.6391825747776508,0.5942242501103044,0.6454491712271663,0.6780818511115386,0.8828474903642893,0.7755776012822226,0.9203050849585908,0.940949662232032,1.1882571717498196,1.2351434687658929,1.012684913741751,0.9024040353574249,0.834117841667012,0.6795937297141039,0.6593585325049727,0.6052280163515189,0.6252734821266944,0.5839156817880966,0.567088761194077,0.6187710790988633,0.6242055489052328,0.6622432439323771,0.6152883998833723,0.697962275139195,0.7110959739969404,0.8163689121812923,0.8110391164917372,0.8466858855815173,1.0576523297634979,1.2072474910201143,1.7705362647023364,1.8718530002105587,2.4389882819510076,1.697695127333229,1.3091459112625552,1.6991339189758985,1.6169453113142211,1.3943345593866474,1.3191736748309415,1.0840455332194283,1.3369520009315763,1.1625945920036997,1.0942471454664202,1.2475689624427575,1.0439477911811217,1.4104858532418818,1.1714523160353147,1.0119357482575624,0.8800392155052351,0.982923258303513,1.0341444483934663,0.8917782990024999,0.9398018722934876,0.7729050256197223,0.9075006883965197,0.909334614365539,1.016127110683334,1.2947826791972215,0.9979969632593821,1.1839874550914515,0.8033716191406339,1.2783370350962717,0.8211002428678043,0.7874316433937635,0.800235869963814,0.891464906663277,0.7356558029098091,0.7919200639905641,0.8993498718854895,0.8901351389109847,0.8815284925284361,0.7437718607475639,0.7247714998635494,0.7398506442404723,0.7308926910350345,0.7107332627229033,0.7249063078263619,0.931895492534852,0.7870893785800704,0.6585506020977937,0.6470795537269778,0.7469362074421476,0.864610471666003,0.6093003969808284,0.5642888861467669,0.6102611995145609,0.5756148414846867,0.6611397943067516,0.56182212379705,0.5813601971123319,0.6484725797453322,0.6399095824542834,0.7276607412692261,0.7907810846827372,0.6599900811982464,0.7643446784036211,0.6564105680322126,0.5382193777445281,0.518299429713019,0.5238496425768957,0.5833963973712908,0.6245875292359315,0.6424237816966,0.6869064521811435,0.8698299188465456,0.7046146111422273,0.7499280517642257,0.6896134784989103,0.681053028196173,0.5875411859365042,0.5407118708665595,0.5226192112506374,0.6313158310822357,0.6213670401620953,0.5839615447023996,0.6486614199650578,0.7189680369775385,0.8027983375754302,0.7970246684435729,0.7271828612765531,0.721701943134636,0.621605950820032,0.7473137252111894,0.5779995953033187,0.5392175814813092,0.618923688559329,0.7420718220078848,1.0476678446706365,0.7882114598647308,0.677206221444477,0.6957765158105058,0.6517921337016609,0.6184616577410731,0.5762252205745662,0.5207257459587288,0.5326617557978198,0.5663431714643834,0.566466036502272,0.6424719531002502,0.9342968841017586,0.8241002453971987,0.5624879501727197,0.5364626437243347,0.5325529787317743,0.5247949412979471,0.5773103973048265,0.6055349202180702,0.612518838316113,0.6599349672660644,0.720528362904597,0.9551933930407511,0.9783032724229921,1.1223709134568958,1.4761702592584585,1.223966171031679,0.9325475516396435,0.8338043755541766,0.686750742557458,0.7153703960748131,0.6801686842239376,0.6547525867752894,0.6179151692405739,0.6177258142306209,0.6592028049039422,0.7160362651254442,0.6957376734565384,0.822106744408272,0.6722397920343173,0.8186405472739031,0.9465492970926517,0.9066089694665692,1.0854919065222426,1.0656879105957304,1.2806277731312716,1.441375257513997,1.5012098407964154,1.698983960121338,1.2436222423785463,1.2837411381064243,1.1809667918156967,1.0438318259564818,1.1300091074378236,1.1460150448415662,1.0600048691155315,0.9709742745384791,0.9436415728183833,0.9296717577571244,0.7847806299531318,0.7071000167803119,0.7815404215224259,0.8002973729484408,0.7432402816124088,0.7578947107658418,0.8342687883412231,0.8010322865946761,0.8483238092927462,0.8860630058518868,0.9409705518106402,0.9773312880335375,1.1284811084040343,1.1790174430452687,1.140063860717817,1.1165195715541214,1.1177657841349893,1.0101251469679846,1.065114618488192,1.2082003515470259,1.798522462295815,1.4912691020242075,1.256089192235143,1.2618970051579885,1.2828840328513251,1.1686032327514726,1.4752788250179276,1.5100165954594993,1.2378014326023865,1.2701489733353004,1.6018239633792513,1.4658798324525852,1.2810151536592977,1.5538592018158262,1.7526914447552497,1.4439838614050209,1.340131711863259,1.069422586178326,1.1096685382362763,1.1398547574819133,1.019145349260781,1.012366415125653,0.9966269206115099,0.9812549402913902,0.9302377271613357,0.9157788937513657,0.7975085692084476,0.7495317723965882,0.7880694065874836,0.7877406985051094,0.7854652005397695,0.7754514224665281,0.8585724769315802,0.8836604060443997,1.0475694907756752,0.945131823871132,0.9470620546975513,0.9210392034943563,0.9356290225622074,0.9144784668214053,1.0399471193233298,1.0416683066288113,0.8909262220042642,1.0012441576735427,1.132407652811209,1.0674617898567387,1.0112814061235753,1.3339095750301808,1.3788650558112243,1.0852821094549452,1.260518027725118,1.597376287482864,1.5745580556656826,1.2850817884915657,1.0666142480981178,1.773635967682755,1.2621655665002653,1.2518092667242673,1.1034251427014752,0.9256665588091701,1.012874118932278,1.1770569493291956,0.9280122998524071,0.8619440053163057,0.7636109052376223,0.8358901412114859,0.7403732622019793,0.7659700697198477,0.5945298310699156,0.9110772398899512,0.6351376845887096,0.6640508860589133,0.8282566573300387,1.161178529786367,1.082973431274139,1.1351623837571891,1.908085563251991,2.1980642887147126,2.447485665574727,2.336668687010222,3.1751953504561863,3.0890257193673083,4.075415741455525],[0.7457509505053062,0.7842525659685758,0.8966085728146829,0.7604407378444498,0.6589516958112377,0.6061989038647921,0.5960240952616683,0.6193401128032076,0.5846577047456846,0.5729379003329209,0.5793909618826538,0.6037405509406051,0.5896362040937668,0.6133036926980243,0.6628228370266085,0.6344634246525767,0.7072347789120824,0.7179025985224047,0.9146263582894814,0.8277075768398272,0.9210453710053838,0.9554432963130315,1.1644556589025015,1.211350683324142,1.0243779142371388,0.9264288778971004,0.9198708991000021,0.7457972882969264,0.7296202871346436,0.6854224175985711,0.6771814134575326,0.6544963912470302,0.6246934446430161,0.674986818291511,0.6974656740140972,0.7261823154208068,0.6927624698842271,0.7927842638836917,0.8022181740685406,0.8852138285185724,0.9075592748279478,0.934173650731187,1.1142676802547682,1.2673022688291251,1.8253038032783615,1.9538165718160148,2.4731599441823326,1.7270186685566795,1.360032452153063,1.7281904804743986,1.6151733223322602,1.4424926930790491,1.368910232484919,1.1350625148986555,1.3782554145021786,1.1735299520713285,1.1120251041644325,1.306109520334022,1.0889333682287738,1.3310648865233572,1.1793813089048741,1.0317973798249203,0.8995314644252553,0.9989680134380202,1.0702017889084563,0.9053150979402229,0.9317811988459611,0.8081012841899546,0.9405165042726663,0.9034142575842515,1.0133696457677976,1.279613167976295,0.9996311631573516,1.2226652313271047,0.8262278982516366,1.3783476720669339,0.8494590753797644,0.8218293409429436,0.8386852575029041,0.9411700642899832,0.8172877628764472,0.8479101324912578,0.97476636975363,0.9838635692036046,0.9728366870279841,0.8342323801471205,0.8039575660594743,0.7918489397629315,0.795363886915813,0.7886541764084829,0.7751780056910389,0.9539419330576417,0.8274796863741917,0.7042402078833648,0.6799365270495958,0.7376536973850872,0.8262357325056722,0.6532208182262951,0.6052087126666121,0.6584251841046248,0.6265293106328932,0.7134885833022815,0.6385449069634243,0.6384216132816211,0.703133751133709,0.6828554517863178,0.7266520983763322,0.8236673243223817,0.6899882850836584,0.8391632418893186,0.6688697328257176,0.6003095621588846,0.5844297623450918,0.6244709230342259,0.6296462476550633,0.6947791569732521,0.709243989020679,0.773927751239667,0.8980408297215571,0.7524399458720392,0.8006479717608446,0.7207131176610189,0.735689283157888,0.6248633239834891,0.5731351707288169,0.6335097467473455,0.6554366757888146,0.6860779055816052,0.6421970664623992,0.6955479394299997,0.7427546982053611,0.82280787389459,0.8555719320623425,0.7902263318997262,0.8022016120861075,0.7192920349042273,0.8214268326834178,0.7073833190187625,0.677923430921358,0.7371309074040194,0.8865226153036131,1.1562077600141865,0.8925081121334365,0.7732349208471042,0.7926948929523375,0.7356957257630897,0.6955851408299569,0.6663913150286884,0.60592279991887,0.5836924749002205,0.5978642886297935,0.600385255037622,0.673154990559759,0.9885549893707991,0.8673490422933924,0.5989828810270106,0.5905152080754711,0.5742729876750118,0.5965931374765385,0.6460761950397815,0.7028580562894213,0.7097013766205512,0.7574819331524423,0.8106349946138355,1.0062242814339513,1.0484714938215003,1.214391257510176,1.5828999752778392,1.3344987452461752,1.0787126146986545,0.9525457748454037,0.805503461332482,0.8245207662703414,0.7850564477423873,0.7548343574837779,0.7074780891276363,0.7246607276375004,0.7485370085725064,0.7856591831158841,0.7951994509655139,0.9169482247308278,0.7485560344339681,0.8948954828505159,1.0033021517663532,0.9866966736782924,1.1535834683413528,1.1332390476579144,1.3280991485844498,1.5180091579048964,1.542591352745903,1.7297305128842055,1.3011165100011315,1.3030318945674761,1.1962860479509727,1.0551305428890418,1.1209254008330016,1.0893577899832205,1.0244251679164091,0.9521977059647144,0.9299698596460788,0.8729918223804651,0.7314895644718573,0.6696652755243715,0.7312213720925567,0.7545575573842614,0.7101051379313229,0.732735315940256,0.8146300265145587,0.7817539015024362,0.8441515433362416,0.9013075584581016,0.9594008601170279,1.0071847812916475,1.1540319039613873,1.2275362099587375,1.1708686553290475,1.1590194682515118,1.1034882584022356,0.9959205263206963,1.0485117251177094,1.1592963573895834,1.7108926096190284,1.411528806031077,1.2152909220246795,1.1695471966609834,1.182419333270838,1.091562962577743,1.345174043465105,1.4109948923367144,1.1460480735273406,1.1867499107772772,1.5112803119064384,1.40615991566349,1.2190729757103633,1.4317733764291685,1.663265953001801,1.4043929386302108,1.3130949954597244,1.024691751101682,1.0471835305443216,1.0800080246413393,0.9455697097054507,0.9617032489080881,0.9526333266607264,0.957162611959397,0.8965833820550678,0.8545465652474731,0.7501005481592401,0.7256990232967998,0.7287997001004063,0.7470690682149294,0.7855443072128732,0.7749468050424673,0.8396799409111572,0.8917827446711826,1.0683593730411323,0.9558174940856708,0.9478519430868639,0.9096106826571088,0.884325550365618,0.8347640521038652,0.9623630804620025,0.972570743157309,0.847571180430964,0.9205132044218739,1.0612011183323804,1.0069440695386682,0.9551152835377786,1.2360250257001046,1.3371021005214585,1.044904090162176,1.2143269628819102,1.5020751135960455,1.541645219158884,1.258412409028567,1.0456593881200036,1.7371979678607208,1.2738280958092594,1.2325114404269728,1.1107624297489092,0.9364962026403663,1.058764125005494,1.2041291257991187,0.9235051510302241,0.873501823352549,0.8237139411006846,0.8275000725618588,0.7093422737736433,0.7547787843568694,0.6144598115338181,0.9315645499151629,0.6252303914143009,0.6492898153059509,0.7752989027085303,1.1234250367555194,1.057273639973299,1.152150990648943,1.9042693560250226,2.224660232890415,2.4814462560753103,2.3835040795166775,3.263446500159517,3.164083159811423,4.165672294163626],[0.8119717428400094,0.821440884281854,0.8801557538017946,0.7584741796184422,0.6793322741181687,0.7233476970916233,0.7063146300819991,0.7290951986825456,0.7629980193746734,0.7470109011687949,0.7765978309445417,0.7712507484104928,0.7307637917121043,0.8038450887212688,0.8406188305978584,0.776305786063707,0.8129614406412689,0.8550341129136336,0.9854838381787191,0.912153552456158,1.0266959745124316,1.0392255362483125,1.2441118429405196,1.3047783220663942,1.1004525034473465,1.0256696220542787,0.9708303890010944,0.8174354640621643,0.8076312657128433,0.7788103206222059,0.8361933470671359,0.7740758369625028,0.7642736000334683,0.8188843329153991,0.8146799417612193,0.8272499626076543,0.7627171806916653,0.8441915991776777,0.8092369436308708,0.8456104948841203,0.875867665045906,0.9679052685101215,1.1337620275316005,1.2847718864794744,1.8592368835677906,1.9756162600468796,2.4882472555487474,1.7434897555699165,1.3588856512753777,1.6997268144428928,1.5709602754187364,1.3917400800315527,1.318799540934002,1.086185409086748,1.3248719605136383,1.1633913455671068,1.120261995219507,1.3006585312212118,1.100568503272324,1.390257172535987,1.2294729542674363,1.120951121753603,0.9877559461504234,1.1131036488400017,1.1492291885031651,0.9882717114778801,1.0747228380622609,0.931086484414851,1.053459526444989,1.029332020526792,1.1470947871573614,1.4009771460139213,1.1245411342958112,1.3050704722061306,0.9871521350779116,1.492248507316627,0.9572154666420355,0.9247463694869007,0.9377200068351235,1.0193733445618187,0.8378379599168273,0.8288772147186123,0.9758899896188532,0.9411864513433612,0.8999625995494618,0.8122298944353042,0.8270254425514452,0.8281196551802258,0.8773177540617924,0.9150827685092838,0.9049195760724191,1.0781068474113638,0.9796875889583248,0.8586642078089753,0.8457286434477658,0.9058434088279191,0.9922617015902127,0.8175621435576529,0.7662261229569827,0.787940705830299,0.7177352569314026,0.7834046735999678,0.6783222299695911,0.6556053725801776,0.6399076756530788,0.6548764250156579,0.7320204477200193,0.787308233736986,0.6636503531006055,0.817597912999224,0.6954088806691059,0.5991277817280636,0.6633026788637862,0.6586454156436905,0.7159075349244397,0.7740204819981764,0.8198692108258022,0.8577703894303647,1.0196320655853817,0.9088475730149703,0.9726966613901559,0.9052689168276484,0.8940040747842416,0.7489023777078031,0.6716065015141385,0.6606874396562522,0.6985842726623771,0.6605497963056252,0.6131394947475624,0.6491467266757547,0.703726097769488,0.7742788881604441,0.740221353586325,0.6781381096061606,0.6771776545240744,0.662298882392008,0.7204517790710846,0.6479071938458142,0.6421029267481952,0.6933274150476157,0.8810320199647619,1.1418635916778057,0.9137811365067884,0.7841905456156641,0.7848842089767895,0.7611140563991857,0.7201520755552817,0.705951908734934,0.6482443036093801,0.6835557465769654,0.6802996423228407,0.7287425991763051,0.7713984391571287,1.0937115399490314,1.0090627856246974,0.7336896844714533,0.7078699148412941,0.6686774386581736,0.6711733360452589,0.6310189352781075,0.6638693817756286,0.6877880356154481,0.7142874526119877,0.7555536247694014,0.9005487171832949,0.9441475703539012,1.068089298293058,1.435965486085957,1.1871489590185913,0.9490321436856711,0.8037967738593519,0.703095384814436,0.7147000611724352,0.6869451480600335,0.6802781296692104,0.647286517529934,0.7034138612023928,0.7028023428762219,0.6838036405115449,0.6853900758353465,0.802096573503924,0.6497355133251578,0.7545932413032841,0.8505613761696234,0.834467334930077,1.019542174916625,1.0531270308443232,1.2412158702291118,1.4751058723324961,1.4340017300117056,1.625679887631633,1.1895178802436843,1.1866686100640873,1.0893582778874755,0.9505482752556649,1.0539812195300535,1.0747010148899276,1.0277415043737153,0.9682788385058713,0.9475748411732957,0.9269028211022332,0.7915850043885337,0.7266883102087843,0.8179650923353089,0.8565102387674788,0.8052204604032791,0.8260176631342052,0.9398191255062739,0.905898100864453,0.9404285150650961,1.0012968456521771,1.0814595530403368,1.0979757073063656,1.2565351784815268,1.3223364263041926,1.2850694168213834,1.3023787942850678,1.2636530512176487,1.14630908247078,1.2239017634842453,1.3752567053323024,1.9957036882713204,1.6282293357278228,1.4220696900469478,1.3707851304305747,1.3649288160319988,1.2247570460600021,1.4831852564484775,1.5788249792508762,1.2825978210255649,1.2686341842856703,1.6363915382803318,1.5245613877663469,1.2945277242013342,1.523928737230716,1.8156679315746727,1.478254895827098,1.3360554985110016,1.0752720810085794,1.0667583937190936,1.110840450387442,0.9984152553807616,0.9526944259320518,0.9945161975241968,0.9231006379357523,0.8858113044936159,0.9430645612151792,0.811284928914606,0.777059717621563,0.8307363606224619,0.8662797349874004,0.8832061691017474,0.8960154768165528,0.9761260278716499,1.022415452903877,1.1770868342055916,1.0859116114125436,1.107054853396725,1.0682178598621888,1.0523052502806305,0.9883341373180625,1.1167087519469743,1.1688347766407483,1.0039991104838557,1.0792521576584244,1.2504606147252004,1.1843336024982833,1.0948720924539548,1.4107527935813442,1.4864026520530451,1.1925178122342177,1.367983760517341,1.6734514150856932,1.6993405575248521,1.4112432898185456,1.1924851257572935,1.8003519200063518,1.3624384672470051,1.37230319009508,1.2148664561655842,1.0489127518752528,1.1606167653913189,1.281122166367249,1.0118876317102379,0.9475031190683627,0.8173061673414515,0.8814202592336345,0.7112542256200473,0.7876737515519691,0.6551377326565734,0.9420297042851227,0.6883319793587749,0.7029582776405051,0.851040411363696,1.1937370329686565,1.1507940218446486,1.2704600968164255,1.9896411919549661,2.2476130927036126,2.572109982851974,2.4733006025913347,3.290025582498935,3.181037843088044,4.136856617626829],[0.6984683663761844,0.7078569531950231,0.8387637908839568,0.6556995126308623,0.6310659653713577,0.5641756410381649,0.4928023063701073,0.5155142013927052,0.47529796651735073,0.4140133277063344,0.4169104298666836,0.45088302618944376,0.4275601654882611,0.44468757659776126,0.4925415275409017,0.44991363583241023,0.4926136826500826,0.5402787887800445,0.7343862674669158,0.6617544716999044,0.8051755828325912,0.8308552313293389,1.0946506543982462,1.1445284288936397,0.9323102402314473,0.8064281942182676,0.7160690987241396,0.5577442950055168,0.5315838919093193,0.48151301143634734,0.48337912262059757,0.4762673725424872,0.4432727831323704,0.49708128857117384,0.5170490376514372,0.5452676591424368,0.5166803385089395,0.5984479424626826,0.6048089049831321,0.7460196902117071,0.7102921071511492,0.7329255313620758,0.9245041734382113,1.0894495387053458,1.648329106860244,1.7834251093908615,2.333046646871565,1.5464056399178312,1.1978556128885058,1.5738824196116368,1.505161024603575,1.2672042253881401,1.1741023939654054,0.9821038258699117,1.2386829145251943,1.025644653687045,0.9847987912658726,1.114067795500606,0.9255732678790541,1.3367101208592649,1.0662685527085465,0.8965377373608389,0.7353218970264674,0.8538391515150213,0.9189729425441174,0.7668118013835384,0.8326770608647649,0.6378298624482569,0.7759671822021269,0.7635614456838676,0.8985883029231061,1.1825112202204566,0.8614473262044134,1.0545885729000424,0.6803158410617204,1.1690338679885062,0.6902801123117079,0.6334120724402467,0.6821863962020628,0.7826638894996815,0.6295393661401698,0.7358230132418216,0.816171011556354,0.8446913134686712,0.8008193839194104,0.6246981059201667,0.6256794585946533,0.6329333204837634,0.6077843492361504,0.5785069427048805,0.5877137550740181,0.7848092383995307,0.6338485060821943,0.49457488023975127,0.48165414851353355,0.5639613762792849,0.7110841084555033,0.48210512353286555,0.4519602094696295,0.5486777864354366,0.4665377050259896,0.6792406244586624,0.4994701981509766,0.548213016142585,0.6445657148559211,0.6434001215392854,0.7709044880361298,0.8370477800386399,0.7293892285160769,0.7971625587527063,0.7012767585280963,0.5364612018324535,0.4767379606696998,0.4577906185082831,0.46199180119563527,0.5059634184056235,0.5317174784976898,0.5931858092945725,0.7487067743281363,0.5825444757314236,0.6285398775553627,0.565813327563883,0.5562085536211117,0.449295673601262,0.41095834221927385,0.45527638963421474,0.6515834131297645,0.5990541200478227,0.6271963023361998,0.6887183319698926,0.8005065041047106,0.8980381689942067,0.8576395680689309,0.7730111374845052,0.747641241491077,0.6492579984347981,0.7329417905813408,0.57953315729832,0.5003735975395741,0.5634918765452906,0.6552766616725018,0.9726382632327218,0.6916157307576201,0.5777545834610364,0.5971342971397087,0.544926454935993,0.5286591777590554,0.4652897278443781,0.47233995481344065,0.48256968020650115,0.5597672070513111,0.5237125257075647,0.6070959119094169,0.9637876373528453,0.7956330811533419,0.5178327269151501,0.46667508047087736,0.5131798250359013,0.45967321175238124,0.5464097216786739,0.5521302069506717,0.5456242350709077,0.5896135558177755,0.6400072985732216,0.8871634364718924,0.9561972322898751,1.0534209051801136,1.3754388446044277,1.1962858249540602,0.8978820069985811,0.819513095928189,0.64921243362045,0.6749125780359624,0.647243616438287,0.6031380614679349,0.5615239392833142,0.5125088966168398,0.5614198169417739,0.6348361763358823,0.661522700686771,0.7880794063369674,0.6563747301079051,0.8151470502057842,0.9574599827034369,0.8985345165550013,1.0312691405390848,1.007968674582597,1.2081110877133499,1.359626322334091,1.4059019069010756,1.60399397789965,1.2360061893913523,1.2488974637993064,1.1698403891555151,1.0668637646874164,1.2133249477025114,1.2543820624601165,1.1779712212271383,1.0858779399887477,1.049303052452078,1.054570077557943,0.8992883487651868,0.8058038407733508,0.8949929961613542,0.9194815271742216,0.8320649617363985,0.8326688854817981,0.9405064621759464,0.8947883519509209,0.8929129665879788,0.942225526634871,1.0084592862005575,1.0127560209831576,1.1841441665168289,1.2080210454301303,1.2012202329696313,1.1988908460526946,1.1921171015437602,1.1017516239552447,1.1782838015762942,1.3538074636842523,1.911685003254482,1.6176721815900168,1.415586736577329,1.421505353995058,1.442553748932412,1.3364256550861173,1.5999351821970627,1.6645741390574784,1.3747470403185267,1.4101107136221833,1.752148819117583,1.610139811955194,1.416544945118335,1.6721029392875486,1.907259809347467,1.5616474675346064,1.4662975762405868,1.2033392551327056,1.217752305347078,1.272094091709867,1.1453744410276174,1.110510862467452,1.1382694218024214,1.0575843664508515,1.030677957081349,1.0605964237578065,0.9259834937068961,0.8463355400565863,0.8915644147673789,0.8992122361385136,0.8625193154457598,0.8622899583807365,0.9731625401011242,0.9662035097830587,1.0791795716099053,1.0171781784481515,1.04668973497503,1.0329775311602343,1.0743117682354781,1.0577632461396753,1.1851869249544391,1.1882565467690605,1.0192929082163578,1.1604283957313501,1.2942454057898594,1.201318521927664,1.1506924245392898,1.4889674224741478,1.5004082026928358,1.2174033731943392,1.4277684445116179,1.741387570116695,1.701885084222076,1.409227014077485,1.1852275515912274,1.7984067654956284,1.2978773621283224,1.302203251089542,1.1540222040678678,1.002080715889021,1.0771996854228962,1.2221118952918697,0.991091594662722,0.9224401154270417,0.7848585967173743,0.9028953937043815,0.7906000806125033,0.8732062110635594,0.6641649083900406,0.9474770481472576,0.6866514584262382,0.7255644744148954,0.8403702044602142,1.133960566348684,1.060062385386529,1.1145101094021956,1.8554345457288937,2.087763758698913,2.3904404971099713,2.2727918466599997,3.0303126167777745,2.92292828538712,3.890397397577589],[0.7817210422670363,0.8249364092501551,0.9220854432640969,0.7368099841456334,0.5970210808607085,0.5418178894835217,0.44745140855875243,0.4637804706534492,0.4405306607639532,0.3523552751569616,0.35671516881323734,0.41540597962746806,0.3570144929972579,0.3724896069562085,0.40968890857360407,0.37643775349198605,0.42415667696066567,0.4516435464694519,0.6082400116650433,0.5577862094548742,0.7339962000941832,0.7682738191551066,1.0419471489232015,1.1064000987142217,0.8907246925309829,0.743021038277051,0.6379947995526228,0.4401511405128216,0.43162687737102473,0.3990619908401682,0.4169102488262959,0.4120810007416171,0.38860756646037575,0.4067822665958297,0.42273595772709843,0.44654630244885146,0.41700678960986126,0.5088725641630983,0.5065789986035374,0.6106808114916166,0.6134783077851792,0.6749246152234462,0.876845564661654,1.0863789945380766,1.6395410258753016,1.8199593699477843,2.2793700876292005,1.5168909298135451,1.2021472555896064,1.554554020745435,1.4264920096389078,1.2364966226703678,1.11895951429081,0.8749131927935561,1.147589093044966,0.926405180354189,0.8812456184567222,1.0808977523458554,0.8532119754044656,1.2046279199366796,0.9477016410192919,0.8037881009595697,0.6394109956422633,0.787018592046761,0.7866350858952692,0.6734058904620962,0.7770557586117934,0.5294800803506408,0.6937096120233773,0.6579332775482982,0.8052611227105241,1.1104627196779875,0.7428997360380122,0.9732120422716096,0.5860989611717982,1.127446731135591,0.5619303965753374,0.5164000677128625,0.5732578045924016,0.6721465378158038,0.5195391696235373,0.6054290729393005,0.7479161741847281,0.7321257618311722,0.6912443147027072,0.5278430982483931,0.5089691813301974,0.5531945300892552,0.5048195403967111,0.48713957007986014,0.48869580512223687,0.7364697798666213,0.5845444767160887,0.41631547503145155,0.40812847874427766,0.5058923505688884,0.6604689920682,0.42953245999426326,0.40385271715411125,0.5197901453407529,0.41923918660683906,0.6224954726087726,0.4248907833209796,0.46861907483903764,0.517078990754703,0.5393502022885096,0.6533715663252732,0.7263527290002578,0.5942898651028172,0.7022174150490654,0.6038611085863,0.4381783663574768,0.4043387721298616,0.3873263069094375,0.4012109306529326,0.42955907419930234,0.44580331468572343,0.519544278313735,0.6590203769508667,0.49363300541398364,0.5515156878713668,0.48344703764249825,0.4827483810251165,0.3938059350900679,0.3440071772372076,0.37435777903375217,0.576144625135268,0.510940103061473,0.500673011610704,0.5504649154193473,0.6445837002169511,0.7353787092698965,0.6983657896459233,0.6140705251248743,0.5972276866169629,0.5791772161063393,0.6548201758466916,0.48550169566169055,0.38575927697564383,0.43851276956686225,0.5777089536855379,0.9359565643859211,0.5933885116378381,0.4797410359328934,0.4970613876585537,0.45228767311084495,0.43439109414249755,0.4015527506609561,0.3844452585532842,0.4182289338531695,0.5003298660571449,0.4638464078517624,0.5703515293244991,0.9167928605897455,0.7359053073117388,0.45747227195439366,0.4017992527355293,0.4499914598689566,0.3881922363101521,0.44849809700332616,0.43746261740387626,0.4340316641647339,0.47735946842378185,0.525105945710866,0.7608173905685576,0.8022359569320244,0.9660627703979582,1.353338980573288,1.1609288907312123,0.8816895039261964,0.7128978907277742,0.5536498224577598,0.5588786841022632,0.5126905822704533,0.48046182464045034,0.44699024440561524,0.44874110146540136,0.48301853973731884,0.5281100169854964,0.5218028390457676,0.6561660679060438,0.5235311316855252,0.6670590500546332,0.7963068946131214,0.7483052811131351,0.8919848227997753,0.8646333258003113,1.0994402097761773,1.3601329900087615,1.2904923614674886,1.5046700294410438,1.1615519714525495,1.1733207322032815,1.0984281954791686,0.9396530092480284,1.0279955405854055,1.023861298776211,0.9817581335500696,0.9247553176024597,0.9122285704263379,0.8964227085360404,0.7520591847936055,0.6769516512419144,0.7712735266467646,0.800523926637803,0.7443399442910844,0.7568593351865737,0.8494506972772228,0.809269768033275,0.8320722947298249,0.8768605196271565,0.9351279269791497,0.951345038247229,1.0938460681949067,1.143659182432925,1.1226050099967002,1.102840448754823,1.108061025454199,1.020620161021637,1.0752136194996542,1.2069555492095847,1.7112044924211782,1.4628843079863683,1.2479882335763373,1.2433578189537844,1.2511498085719244,1.1501406558570797,1.3874650428572275,1.4688945242081621,1.2034914306179596,1.2100760409394224,1.534072360873577,1.439855740715738,1.2321284299057982,1.435880815680921,1.693585534316317,1.414457006698165,1.269581676905097,1.0278074490561413,1.0341528477134674,1.0610622557327107,0.9659602256306017,0.9283695204399625,0.9680693056744193,0.8987696140700787,0.8666335724375146,0.9021162816104232,0.7701022627102894,0.7244391985069506,0.7788309748224261,0.7946662573568662,0.7915893041624653,0.7874367868897728,0.875376982815639,0.8950596735591873,1.038319949134399,0.9484305562770236,0.9542705525333846,0.9372169844249351,0.940116691007915,0.9127737571667934,1.0311011066540479,1.0433726190980632,0.9007061071482113,0.9925985426079684,1.1287017412021618,1.0684744325034368,1.0132418779424384,1.2978149965372034,1.3657573656868645,1.0922221125129046,1.2680274029246619,1.5477255756383184,1.572033144708662,1.2982891864899342,1.0916169298867533,1.7699313491713464,1.273080728025236,1.2354836593260181,1.0858882769799982,0.9309708301227969,1.0110581337228979,1.157565398247327,0.9254122851565504,0.8726103597101379,0.7620685930914258,0.8391553227487181,0.6720702787645243,0.7446492993354666,0.5570469047837475,0.8983683958260423,0.6011490528872753,0.6332831780712986,0.7799730032275373,1.1285091968066658,1.064718836482134,1.122574812562251,1.8793580516775727,2.14682978726837,2.441533146934295,2.317213213925876,3.105163783345319,2.989782443121287,3.969524490333088],[0.6855159582448039,0.6878211945344119,0.7757234527628784,0.6068932701155956,0.5423702032321615,0.5062584984212559,0.4700657757043996,0.4950289456185383,0.48877451114092196,0.47612193696716437,0.47936311779467317,0.5119815006172389,0.4967392021625357,0.5185789965578507,0.5498239549537485,0.5189129147680696,0.5673972537621804,0.5979547329152388,0.7267385296557075,0.6841943491280165,0.8421590512873163,0.8800576437976636,1.1167291221269655,1.18243968355861,0.9829985069337821,0.857372901993699,0.7950383144962203,0.5885593793324895,0.5727581064084223,0.5362543423822056,0.5942986975741286,0.552513694192969,0.5266372016040122,0.5632841832832555,0.5688429426459882,0.5906526296012228,0.548957027572265,0.6497192171721553,0.6408916232855484,0.7029772231644473,0.7475413027977426,0.8399287446249215,1.034212981068056,1.2314334788975128,1.7789822967393987,1.9413173745726244,2.360853884577077,1.6402657903200246,1.3217669443508648,1.653605941723129,1.4999012289390032,1.349101091858921,1.2327075985623739,0.9746946725296614,1.2211670106668657,1.013008420177933,0.9556894369264763,1.225438143143621,0.9871682051644803,1.2351124996729603,1.0195723963762424,0.9147069001424856,0.7565385198507766,0.9183982626331324,0.8961338148725417,0.7897236293458724,0.8726386396868357,0.6685302083522144,0.8254283774950144,0.7559105421512997,0.8945782910950183,1.1960205716918848,0.8456622982948698,1.0767779614109034,0.7228009993718435,1.3048098862003372,0.6909667533881981,0.6523766522174637,0.6824732033023553,0.7885206915160048,0.6335901156734629,0.6898010883160595,0.8403213825155595,0.8068913104374709,0.775543087855528,0.6239733047230333,0.6356074901439442,0.661979010499286,0.6472244595944182,0.645069374876338,0.6410758771745553,0.8757297331336316,0.7474223824047437,0.586664382124271,0.5614112915497621,0.6265059569944522,0.7330942563231494,0.5475842288049595,0.5190588233154468,0.6321199698203944,0.522358060636193,0.6703279746533803,0.517540957720744,0.5281951678906976,0.5522403806771459,0.5632174800371054,0.6734967313816438,0.7725403788079187,0.6034763624751033,0.7422915031696561,0.6097797286847667,0.49213223870662254,0.4872757915886747,0.4968062785098714,0.5177798191946983,0.5531702208614518,0.5899401253662904,0.6607583753643185,0.7954552565364119,0.641237129298395,0.6993740609364176,0.6102551107829752,0.6092557365904084,0.5296774510772854,0.46014289904313443,0.48612623040577324,0.517862513490889,0.5331293197705165,0.550112677015615,0.5780486721180409,0.6430397371510814,0.7199394198333989,0.7196427976392034,0.6335439945349031,0.6463871037500624,0.6922180149861649,0.7319005974796257,0.6106810663487847,0.5152164922787784,0.550567209993984,0.7249808278984239,1.031408033195015,0.7274100969968362,0.6234857952261772,0.6407211455400947,0.5912997205020917,0.5566104497860266,0.5314789503582901,0.49119571957316727,0.5089583180827812,0.5501095975937069,0.5258744526662332,0.626973537214962,0.9761907344156442,0.8468777800686602,0.5371621971613119,0.5072888379803546,0.5127375407655053,0.4864166608311003,0.48553650711347685,0.5283938220090879,0.5434989999607798,0.5951955490582478,0.6308914718527753,0.7949037136013903,0.8087476014512387,1.0277176386232405,1.4159538354264418,1.2260051595763612,0.9815689183792068,0.7899991087579527,0.6525909189621815,0.6387490951630103,0.5931173492007852,0.564926488930578,0.510210039936134,0.5450888704958325,0.5581016735140986,0.6055929399180513,0.5855623807853171,0.7178998992662141,0.5738187489163028,0.6939993298551915,0.8231578054211095,0.7898554590938224,0.9320739644624797,0.9239469359264764,1.1664579788108365,1.4726905370233194,1.3173176992936668,1.5180328415120476,1.2192159716303728,1.17788281474633,1.1202671740057075,0.9401470178815613,0.9934284658642757,0.9237828194364321,0.9125241127859839,0.8759570893530859,0.8431662413591632,0.8539314492803485,0.7306021770530068,0.6583835805476533,0.7742183339656564,0.8379756036364376,0.7854750525599854,0.8103674189016528,0.9294558671423407,0.9065260471076874,0.9438049696874617,1.0067413170693418,1.0916179491326736,1.1115309714294745,1.2732636687121852,1.326727647630965,1.277729472606507,1.298231941082716,1.2619615526876575,1.1549185905110664,1.2231772443115758,1.3292926758576402,1.9331914458403032,1.5666727894413142,1.4324136294312761,1.3057550948862597,1.2901307049090982,1.172584720040302,1.3458132664399227,1.4726286093582208,1.2095972025888864,1.1710374416515028,1.5188420394187478,1.4453492661999572,1.1997566219131077,1.3887170533918247,1.6918646724455426,1.3926109836576188,1.2158818524482908,0.987041654908653,0.956703369313269,0.9933063585905363,0.9317829903232273,0.876740777846335,0.9380149584224675,0.8613785716050217,0.8177793306770593,0.886283062242346,0.7641501819399283,0.7493469056596447,0.804806919462088,0.8614912615639287,0.871100227734742,0.8752890338331196,0.9701877498266422,1.0214083277383301,1.1520805066542221,1.094201268195662,1.123675831016825,1.0804108219418873,1.0562747497225142,0.9850559713596457,1.0830531637389742,1.1476953095606386,0.9980097166922621,1.048140123918808,1.2114519943456408,1.1643566724547294,1.059693943247732,1.3680685272948119,1.4539996479978838,1.181804086680655,1.3147538832734416,1.608723195106543,1.6672578344267455,1.3824261158761406,1.1815815336218973,1.8056555827015548,1.3838491518694207,1.3766437589746388,1.2138458052680297,1.0502267716045943,1.1511709836247879,1.2661859246726503,0.9949822736447999,0.9430608689607094,0.8162878732661502,0.8672204172731993,0.6873741669735774,0.7028765408113731,0.6001391276702748,0.7838627011422371,0.6752726894038613,0.6994931358532537,0.7975954105454598,1.185200607463089,1.1275019949221767,1.2617073337243876,1.9413597202095556,2.1902602132779436,2.5491425996363835,2.43839859488485,3.261405079016388,3.1845953751413814,4.104393338718294],[0.9337291356153578,0.879756190640003,0.8940747397887955,0.7641375719292741,0.6886235608171271,0.6826569343225566,0.6305014822565296,0.649789083533913,0.6430228548653788,0.5984387646114585,0.606321607818761,0.6344354326402529,0.5982201426562682,0.5932556772317792,0.6013350983477939,0.5948955958286289,0.597426951749042,0.602048827993503,0.6793745252330025,0.6425933026781814,0.7864574098313108,0.8190166993784657,1.0541721336513936,1.1107115089711388,0.9198632349923693,0.7896744765953689,0.7224589619867557,0.5621737210510068,0.5834261190859326,0.5792195257593884,0.6201354738181066,0.6222947334887412,0.6017576453054082,0.5941263548041958,0.5970442820743221,0.595430914510119,0.5936663782831193,0.6302062693720079,0.6092694620202848,0.6761867869072541,0.6869298872803655,0.7540410010516267,0.9300781773718294,1.1149997388476738,1.6505923963423117,1.822123968451862,2.272292389321807,1.5195062283177607,1.228644945128802,1.5537868039137017,1.4478515424471485,1.2661496975515003,1.1442588199539625,0.9255313603268392,1.193579036893282,0.9718695742089607,0.9258012086709804,1.1297310172946406,0.9128699698007696,1.240265395363892,0.9888678836395431,0.8674946373123115,0.7235086180597096,0.8575569382818604,0.8423777880080534,0.7550914583391547,0.8325858112056752,0.6248112420954433,0.80607430814083,0.7629052592782384,0.9056704605387242,1.2188048813691947,0.8465460298692368,1.0580598511873538,0.7048007841007605,1.2643095977852372,0.6467115573196073,0.6316998448387807,0.6714966863205813,0.7563299001990588,0.6264196305525642,0.6887400611611878,0.8394949785615503,0.825132675214054,0.7676430468323386,0.641465826247336,0.6133443755338558,0.6727898863380682,0.6302238081110277,0.6307859901594746,0.6355395016691584,0.867480552416284,0.7524109414268012,0.6299306447826487,0.6237362619220113,0.6898143705989066,0.7752195086882352,0.6409519150061042,0.645405839320213,0.7652817994595255,0.6384862491687125,0.8178168334070871,0.6308882061426043,0.6845938468590199,0.6964344047116141,0.721676096715723,0.8352737796346109,0.941687530955475,0.8084681442210676,0.8850011477601638,0.7893208509298494,0.6446656444000378,0.6283293848761183,0.5966820867025423,0.5944096552894738,0.5955207774835293,0.5806493256238893,0.6155306023724734,0.737094906924131,0.6223887392670264,0.693579474707399,0.63413003011822,0.6271464686529996,0.5813923911903596,0.5542138752921452,0.5849913657891199,0.6500127380868308,0.6607740401983069,0.7057855872704287,0.7295276983854491,0.8136312503187562,0.9157907424611977,0.8727725705485274,0.8001382841421086,0.7604245177749255,0.7769723385763915,0.7991677590964451,0.6696200705365967,0.5346009930438645,0.5632932763662776,0.6487166579893244,0.9564440177266932,0.6520285263712186,0.5873083712924028,0.6043099169421664,0.5835138600134849,0.5746078230582643,0.5927984177372649,0.5987908455280642,0.6260575255153366,0.6911898443509356,0.6910813910113693,0.8024837599339577,1.1256059744419242,0.9807679255922229,0.7056533722585367,0.6626620192024598,0.6596767361551314,0.6029937113585973,0.6218818992484588,0.6070751744518499,0.5870520931259395,0.6007081777995247,0.6403427249390827,0.8276320081931972,0.8749546140957373,1.032937224175688,1.3675474541366286,1.2414168869441127,0.9818903346015438,0.8364639411327001,0.6890877910792453,0.6812896159898897,0.6482520687090071,0.6322270709812842,0.6128251505199264,0.6092147250227857,0.6323422624000158,0.677558190164816,0.6770620278942823,0.7703699995603596,0.6880923346226705,0.7886727583450557,0.9230203265019377,0.857721379838012,0.9337699312543728,0.8906526060781887,1.1214686319750804,1.3699892419279516,1.294668886735403,1.5112387941988734,1.1971950405244454,1.2483319009016154,1.2102093043051891,1.0806632219130181,1.1623907136439302,1.0951826058433178,1.0887966634556623,1.0530036549835153,1.0062265325139923,1.09186556428545,0.9659430426982253,0.8720627535856551,0.9916730470203716,1.067786733861627,0.9813100353566167,0.9832287936332548,1.1281979050235618,1.10898526011659,1.1002119490364224,1.1609169606292686,1.2474464166748436,1.241984624042475,1.4339652091489556,1.445522155504402,1.4029389247186428,1.462506988159959,1.4270837153800138,1.344373671123239,1.425964032748147,1.5557668784991727,2.26963583126528,1.793806653794305,1.6772302325869455,1.5772080046283523,1.5801077284801064,1.4668057176895095,1.6206861344668526,1.761848632348821,1.4671190970705534,1.4382194129920831,1.8067070556511213,1.6942997074790194,1.425661121808657,1.6082479108907315,1.8958089516000407,1.5863040232783712,1.3733458214477103,1.1949529686166587,1.1472587699638208,1.2261499496039945,1.192126461474207,1.1211315199759622,1.2148526809241982,1.0794097856761944,1.0515166441438732,1.1544619157726859,1.0204622189143793,0.9792988997647428,1.033176741488819,1.088642927543005,1.0606931953401622,1.0616548096163154,1.1774925346514986,1.2061872461306111,1.2849011458236144,1.274016076868919,1.3266735515124557,1.2907005870095294,1.3077972188963791,1.2408917054614759,1.3568771195534306,1.4038852756834532,1.2408729487894297,1.3149052586925511,1.4685724290094224,1.4055814723380258,1.296404761849574,1.6275607896464876,1.6784745475115797,1.3863545481703883,1.5186476444667467,1.8442909283455802,1.8584800429697792,1.545379636707097,1.3440867872760847,1.892742077756028,1.4796568639138579,1.5034130462710655,1.3457452393095797,1.2036677484434832,1.274611246004159,1.3727344201750935,1.1214044761966904,1.0561241926754934,0.9191457105299602,1.0360842276158673,0.8831043099642902,0.8830395753866701,0.7871616521738699,0.8786641908251068,0.865588192825085,0.9057551557333648,0.9553212984061153,1.2825081426709979,1.2258435521424793,1.3159842831827118,1.9236216906007937,2.139055387985844,2.500875854624298,2.397897908777184,3.1244983833139326,3.1104548092370488,3.9478698992939907],[0.806149786048265,0.8093744763842929,0.8909047182840507,0.7589403742088505,0.6985697363427975,0.6595884456530394,0.6106212603654431,0.6296343759868336,0.5659653613316887,0.5594005798402035,0.5479174183188004,0.6018385315813884,0.6000021172761397,0.5557906562855117,0.5860009307462697,0.6216137063188273,0.6329022873087322,0.6306334803579344,0.6814480417604173,0.7105688885259226,0.8601057414130218,0.906668816714626,1.118583387747279,1.180273274446845,1.0148007693870145,0.8627894094608481,0.7688122938741219,0.631407654737825,0.640700382615199,0.6352973141316924,0.6264829269147966,0.6504024189817027,0.6317301576888581,0.6340417082141154,0.6503717133168125,0.6525504179622429,0.6627535218585373,0.7091250900137962,0.7129333119458473,0.7529886571740009,0.7793172398492605,0.8171454715778392,0.9738566694403059,1.1742338939607802,1.6789364577582127,1.8722206238723689,2.294781167085068,1.5635294843435281,1.3179507904856225,1.6264045196743475,1.535977742549323,1.3471911771016132,1.202688962311862,0.9925256624787111,1.2393561927819532,1.0566957755669484,1.0164841606372417,1.1412064254994434,0.9698234543166159,1.2973655982162906,1.0555520783309127,0.941686713884746,0.8181511661533746,0.9165985857061453,0.8934143457238992,0.8499326450889916,0.8914439829342679,0.6572528666787467,0.7921739533985042,0.7299046985162506,0.8707924325744578,1.1725592840180963,0.7889031410497893,0.9988780740413618,0.7109136306322773,1.2085238108193248,0.6849371284330644,0.679812292936903,0.7572085174242261,0.8384474553748308,0.7057687458057404,0.7609492930149198,0.8979370436811288,0.8801105734534038,0.8231604364074084,0.7262756932591151,0.6887712807670426,0.7491099663417893,0.695931927196435,0.6801963354588355,0.6619209282294038,0.8713241321935,0.7313699396087332,0.6134535221136731,0.6084051227174166,0.6376543683695118,0.7281306654928441,0.6317717493665289,0.6259750170774128,0.7216447681753855,0.6652952626920893,0.8516886751885443,0.6901447881547104,0.7446026067776933,0.7638593219248992,0.7844027776824705,0.877668106312792,1.0134201832568703,0.8491783983357903,0.9139176222203783,0.8066423590683777,0.7027048182520544,0.6540472543627797,0.6731319621847043,0.644371492274466,0.6555988694452878,0.6221558263222715,0.675432880369763,0.7426013583255984,0.6361508821954459,0.6710290366762512,0.631474491093515,0.6479650658883002,0.6053441507164539,0.5692070785256806,0.6384039112497552,0.6692797183025292,0.7269823223995852,0.760040439553731,0.8012636862830681,0.894056958439114,0.9892464021328422,0.9613328964467399,0.881017426717166,0.849973757376392,0.8822431045549466,0.8915392331566456,0.7636787820983789,0.6276090133589709,0.6765172825190049,0.7237729269540847,1.0533352602495147,0.720859583869752,0.678168837758301,0.7028519325522481,0.6691674682397747,0.6660179652401983,0.6692530781512488,0.6753452100044564,0.6541415967470632,0.7127147419510274,0.6626564895616596,0.7604218045085612,1.0301487220847863,0.8723118690386445,0.686645027738743,0.6525461529435889,0.6957747544149891,0.6499182672742674,0.7019939141479994,0.6969531335517157,0.6958549610209284,0.7164523898388925,0.7575220541251164,0.9216537099671295,0.9804590015708626,1.143540189757454,1.4817441832059546,1.3662118132416863,1.1203580327451856,0.9483168803698924,0.8003316910173603,0.7868743708937983,0.7484344274262427,0.7369375761414813,0.7060452586006869,0.6832096003483964,0.7177446323826511,0.7913515012492226,0.7779524548839716,0.8513350137029015,0.7694888577953217,0.8769279921634341,1.012590808170541,0.9433142267911906,0.9883152193047883,0.9183613489103948,1.167592818699077,1.4415334787969794,1.3244299428627098,1.5310753104047259,1.2642566300647997,1.3442077065176967,1.319758367904962,1.178601069880649,1.232896028218046,1.1496049389557945,1.1328611683643148,1.0688486863176578,1.0264269294260124,1.0832631938102708,0.9532365090048027,0.8640181266864424,0.9604529037158537,1.0105613681369119,0.9199263316568466,0.9123977359156751,1.0212431896582832,0.9937811644397458,0.9685461028497869,1.007499057053873,1.0796251238440309,1.060751613451568,1.2050865486692364,1.2416892972223106,1.2273624050608944,1.2548235627109854,1.2619408954077491,1.1881917182979254,1.2572892432703444,1.40962801937339,2.0436062123440295,1.6678215181599716,1.5286479169963696,1.4807663230613068,1.5001377111509522,1.4125970953401756,1.5800731639958288,1.685305915796727,1.4199632614184352,1.4098722170290543,1.7450172113709947,1.6355741865391085,1.4064354211473633,1.6058605478480963,1.8527992144026655,1.551961477488257,1.3943673062606023,1.1871970214076508,1.172881544099287,1.2271527363620998,1.176077352367885,1.1271022523113567,1.18999374294258,1.0878921453686534,1.0529518969080638,1.1128752712948726,0.9886941837372055,0.9439771454223156,0.9743443634130182,0.9983674764773481,0.9626286092243668,0.9554664485713793,1.060712601645419,1.0637153480922965,1.144916380133622,1.1049412939537442,1.144527336152789,1.1279894645115969,1.1751147971177551,1.1512983871663178,1.2638656010337603,1.2703226586639897,1.1208980811909919,1.2348983376394562,1.35652671690494,1.2826153627336803,1.226290621617496,1.5374458029972415,1.549873407965002,1.2879523585350499,1.4657575087503787,1.7673999207929505,1.7527872230987396,1.463681000241713,1.2484648404191347,1.8331187324363534,1.3400874744761353,1.3474417123181706,1.1784612588121093,1.0577263675763593,1.1036116433481713,1.2222181721921894,1.0180565957619823,0.9661854058799936,0.859908697754537,0.9889159995216373,0.8591970890063544,0.8976825418866584,0.8102990148516315,0.8893907308527638,0.8309222959930328,0.8542238696145534,0.9285218169695393,1.2200246446031136,1.1452953355109754,1.198676514530341,1.8633668737307072,2.050350077695152,2.3992800424912564,2.280999056827708,2.969396160979077,2.93963278875582,3.7882395408008787],[0.7294639621688976,0.7361974425412642,0.8254288204921946,0.6860921919922011,0.5966093776491788,0.53897327422744,0.4831349736096777,0.4974273163723392,0.4733078155285936,0.4540829995992372,0.44802502831956936,0.48079690440127953,0.4804379868213245,0.45906265359040765,0.4860513845677146,0.49629396672668524,0.5252113429405507,0.539627855782692,0.6186157411289,0.6280698353724747,0.7675749102717319,0.8194676935053317,1.0462017963368515,1.1074632214581668,0.9320434072597746,0.7849883339644618,0.7209185669647125,0.552990314095588,0.5416092196905312,0.5241844486707491,0.5438640470497534,0.5411954265963768,0.5044330267266955,0.5244212563513478,0.5452567531603391,0.5592646450880147,0.5480244211084394,0.612123034146171,0.6076999185455806,0.6794198446054592,0.7107554834241782,0.7635706643603433,0.9311934075495166,1.155142105626154,1.676398229939585,1.8937844074180894,2.263980240835307,1.5344041577861212,1.297484853909444,1.5734459917527148,1.4392154785186007,1.2737124082472637,1.151225021421311,0.9313115878517252,1.1831214156117698,0.9641700245443694,0.9407717593837355,1.122739706576569,0.9423515342856161,1.2144498719344545,0.9996199240347875,0.8728068386967199,0.7154928185917844,0.8485192518634945,0.8326871621437273,0.7534123842163792,0.8129506159375891,0.5851348768139941,0.7521503134633561,0.6929830969438494,0.8450620508792244,1.12964033359912,0.7587313538373966,0.9854070329240129,0.653864265426127,1.2143961481058203,0.6171521573899195,0.5874782786893726,0.6317963896397821,0.7240433801380803,0.6231893123390688,0.6932845060120691,0.828641578462341,0.7929887907608238,0.7512210653080004,0.632421124248757,0.6168704789986481,0.6593717784428194,0.6017376689790704,0.5976459244550547,0.5801191327127427,0.8060026025743724,0.6628193282616197,0.5139987415982743,0.508338490332697,0.553584731587663,0.6533589909851485,0.5189716422758661,0.5090645795750026,0.6188987106988276,0.5255052988974006,0.7294028147050414,0.5550689571240947,0.5967689229506066,0.6413164156236181,0.6417350537228785,0.7442448706805204,0.8419924697185756,0.6913612607783717,0.796891672169579,0.6881413356902905,0.5659506250742546,0.5195171872236862,0.5239722066478494,0.5216105292052114,0.5548063571553076,0.5603982082630675,0.6261137980001891,0.7114486867508756,0.5662272861852399,0.5998783357877779,0.5458427175629577,0.5659366593526812,0.5016970466460383,0.4560560842599272,0.5157831304557722,0.5815121185409227,0.5952342960920302,0.626338212364547,0.6621555092499612,0.7224700339939597,0.805673989971279,0.7989331075591702,0.7254434280788687,0.7221729650816958,0.7517795075431135,0.77709184861995,0.6486847598503159,0.5292327539172222,0.557044231819492,0.6723205133000679,0.9974449091763273,0.6593433516545325,0.5896019094419894,0.6132988923654482,0.5613840273217209,0.54834882201319,0.5318592027040802,0.524017973498709,0.5291014219717407,0.5865081035513884,0.5328694618046881,0.6558176571558434,0.9761217280258275,0.8034100021825739,0.5505182050889614,0.5246332146843603,0.5580596325960984,0.5171442892518457,0.5471826896678117,0.5718273529379926,0.5646693203572914,0.611739490618707,0.6511568661891531,0.8304494901937974,0.8702950190321824,1.049253708840395,1.4058245819563375,1.271766842093605,1.057190369779034,0.8533509469934125,0.6984294722269837,0.6815487670121559,0.6359931492052222,0.60837714224736,0.5699581574909574,0.5680320114825766,0.5901602220335739,0.647534195127981,0.6397419004365584,0.7532420253449881,0.6468998976947772,0.7433796283140829,0.8734724613132865,0.8445155185105683,0.9373065202751784,0.8951123348269724,1.1201353650250805,1.445247014065959,1.265900939753236,1.4586163969701178,1.192185843730069,1.2154977856017783,1.179778632637318,0.9995668050243831,1.0236924135132075,0.9701400318409207,0.9541649743383769,0.9105174897976515,0.8875229333040184,0.9082412236559356,0.7979579473307145,0.7237921111800156,0.8225005923170597,0.8807300953410928,0.8208739136434077,0.8289980045586425,0.9415154661538346,0.9161317427930742,0.9286453510260281,0.9749304040290095,1.0501795857326195,1.0569696633593684,1.2173357391913704,1.2490611611238827,1.2195322726082811,1.2342359767824171,1.208925194929911,1.1283186237926708,1.1881984687257723,1.3050191860080673,1.8961023674599349,1.538421109151213,1.4233332241612506,1.3106467658897956,1.303617510274923,1.2130573684208508,1.3587231557151724,1.4867532795036378,1.2317698512087187,1.1900464484169815,1.5145110739459808,1.44888734452777,1.2054945270430388,1.3759580717842976,1.675561693015405,1.3775238526860338,1.2269183156213923,1.0102761569495107,0.9842658039015983,1.0218185503178314,0.98188680856495,0.9183577508396944,1.0113965524396813,0.9046748358272667,0.8748991599818536,0.9470188014025969,0.8334666799453858,0.8055312157208632,0.8563987603687223,0.9044041247819103,0.8995792459080497,0.8924609705394779,0.9867120287775835,1.0164325711448614,1.1243265066259711,1.0645068657047925,1.0901717060641634,1.0600013575736178,1.0609916119035983,1.0154516340542594,1.1071627202995244,1.146696064259116,1.0113975973463711,1.0730019646155489,1.2151575029183903,1.161066839934889,1.0756959824961267,1.3697837121056196,1.441832887493215,1.177109001621765,1.3320745715485374,1.5817228679639679,1.6338091388720746,1.3684760038846884,1.173419545356623,1.7535299470791188,1.3257144256675801,1.3190952873184536,1.1622782586050726,1.02281693044734,1.1090698477888303,1.218850277323844,0.9831073025383152,0.9222673609159517,0.8154074939633658,0.8905512555793809,0.7259810032682741,0.7649182426063934,0.6824944492229781,0.8220450800036662,0.7300548426800192,0.7482613498082734,0.8487997055266673,1.20558654568616,1.130384717415833,1.230085918311342,1.9007251392471927,2.1042624445537643,2.482660680760575,2.36708197432263,3.1042309623515774,3.055187089513621,3.9195150183010106],[1.0121437782202463,1.0268569536275414,1.0815686437171168,1.0379226929308005,0.9160636659499058,0.8725153785527735,0.8730987468920315,0.8622049341125223,0.9273732286404252,0.9579044259287701,0.9792625379558083,0.9525851055065642,0.9333150247605589,0.9882123147233921,1.0009074994314686,0.968089878235305,0.9662788836043599,1.0032430319871697,1.062522502348274,1.01654045170762,1.1186513081796434,1.1204555392165894,1.2982845085632897,1.3234857793726973,1.1770348562559008,1.1110986293682616,1.057638699208601,0.9764870600176228,0.966684965924565,0.9449585828111895,1.039022837626396,0.9822002216045067,0.9648933574870022,0.9790045724942029,0.9575745616582155,0.9778609313175889,0.9257479249632339,0.9407536348635404,0.9021736813220351,0.9025972481868727,0.9498624286223203,1.0284158227048943,1.1387701789259068,1.3072219560582272,1.791246755166599,1.9782527731603448,2.3212212348759915,1.61907605175811,1.39944247124166,1.596284899428536,1.451515493803403,1.3052851431117438,1.2354442181118603,1.085924423863222,1.3148498661143957,1.1260592890191221,1.15857728997008,1.2805435973244108,1.1446138707052347,1.4155186662558816,1.2696855309825383,1.170366884577774,1.0675237223297853,1.2140048277372644,1.1573520340815975,1.091754378477108,1.1847707787150505,1.0570204805388006,1.2281306479199772,1.1958254619537472,1.32350718017121,1.5238735952719018,1.2678806304378027,1.409611789612756,1.150634812351931,1.6113275887920766,1.0549068802384438,1.0357462593566364,0.990904355007484,0.995153345301159,0.9681295133604987,0.9695664826175224,1.0451784514758427,0.9956314688159219,0.9791911948066295,0.9362370339210198,0.9630272970961206,0.9981685120409985,0.983995967787307,1.012077653796758,1.0422862103405852,1.214349141395648,1.1311504260705054,1.0173361709695248,1.0128593400907064,1.056367655244216,1.0883325691827748,0.9810932220169141,0.9620442613495997,0.9760825162471074,0.9127355819155752,1.0110170067536945,0.8971836020419617,0.8647515005360559,0.8758011517981025,0.8698816423339173,0.9155772209269244,0.9313057514336328,0.8621134264410703,0.9811129532859565,0.9122671055825775,0.8471390642397753,0.872418531033707,0.8701508912933995,0.935021498151971,0.9672610882881435,1.0176521467361945,1.0408410606373322,1.142623170536036,1.0432201355765374,1.0559341898980297,1.0349671241030216,1.0282102641079562,0.9548470881911431,0.9273773313055135,0.8790319582690329,0.9124693434000872,0.8654455152967447,0.8207490403229347,0.8391154832124271,0.8316749836409855,0.886675564932911,0.8578051019226949,0.8463576230333015,0.837553817363142,0.874627582642568,0.886463014764282,0.8523520108129651,0.8386001715176706,0.845333479551264,0.9764995515474039,1.2012110460488366,0.9883035695154796,0.916728300184949,0.9109869601631301,0.9098875937491825,0.8951040699452256,0.8762734582026979,0.8604826494007207,0.8948350813545641,0.9045953442213178,0.8668030878910595,0.9607505449477324,1.2326217118652418,1.1112703295669595,0.8999549205470895,0.9237068384888175,0.8951741891204346,0.8915988160736207,0.8421630616074052,0.8553304115819513,0.8583532224935827,0.8893878564553305,0.9035435787677115,1.0115301168394133,1.0175464132294965,1.1047420527785738,1.4029762136395056,1.2459573870611893,1.1412599630934785,0.9539416204506195,0.8828440975191532,0.8657091696040679,0.8481048914899008,0.8507620395683239,0.8349157771679685,0.9001347275761911,0.8759032241339,0.8708057281118332,0.8378199979527433,0.9287208164468479,0.8472420126351717,0.85697680173053,0.920119425559894,0.9525027514979363,1.0830620171850427,1.07153137363631,1.1891445941713839,1.4843068755482476,1.337651075176568,1.459500511509774,1.1599602161212639,1.1878811844315103,1.1440685303687623,0.9711821041695843,1.0072848192818362,1.0322493953635314,1.0066723520880032,0.9842548491633105,0.9954642427198099,1.0147177224699113,0.9409154340817405,0.884003350352548,0.951504273648017,1.0244413905125818,0.9892248285999353,0.9914222935390976,1.0928468558441868,1.0996007817964026,1.119672183902395,1.1521158445174058,1.2380809786483584,1.2572572731379121,1.4204659360416805,1.4110032629517992,1.3658690429410254,1.4018088891145524,1.3613356101381093,1.2948672159923242,1.3749768160626203,1.4690204552184736,2.0242627106174336,1.708313849683224,1.5263246388009943,1.4294298326108168,1.4142687554718218,1.3342789506358166,1.455493765811496,1.6031665007403113,1.3097157071868206,1.2721430446759192,1.5711656291129983,1.5248950557538936,1.2641148260744985,1.3656242506262464,1.688644553229606,1.4067284302545953,1.237724614769999,1.0668968422167335,1.0468049150523393,1.0917410642893806,1.073461777800862,0.9921038334903307,1.1303821203591213,0.9782002691919084,0.961319996268903,1.0752229044431991,0.9958783715277595,0.9801671786665535,1.0188500195653725,1.0854478508899197,1.100045479018979,1.0931048962041594,1.1868031849529659,1.238264537313523,1.3485191420810732,1.2684402606332201,1.2957879664941396,1.2510718073351048,1.2286139776658431,1.1572514946982237,1.2543471673062763,1.321488348361768,1.1642636706502063,1.1907444478509577,1.351449196200642,1.292038437958813,1.1800728626399632,1.440602452516134,1.5767998935316785,1.2853940077620227,1.3879905101018601,1.6497816875426077,1.7516516590654825,1.483080969972229,1.3061935285248263,1.740346092110543,1.4343424278680286,1.4486535637279088,1.267442269752867,1.164249717474449,1.2743973093311964,1.3188306892987762,1.1038874371745238,1.010358747914687,0.915544022411655,1.0047812101173021,0.8700517698598229,0.9039192569163943,0.8831902796962934,1.0673441141679139,0.9352832796610429,0.9300620740723226,1.081825004100977,1.3830520679361071,1.3065295821275078,1.4454368129401436,2.071832627118072,2.2061351655100285,2.6591376587091706,2.576029196111283,3.300088109399201,3.2800781708532476,4.074067904553255],[0.921539871165798,0.9115166706046318,1.0036894126045455,0.8247917705129976,0.7787480518504041,0.7292572912220711,0.6432311477619964,0.6786318944375674,0.5878653039387897,0.5290889559777342,0.5066570256038806,0.5804447917624592,0.5826852404788577,0.4761248481545655,0.5068724433335771,0.5725632716627439,0.5455826668973491,0.5320119147188191,0.6046624301381236,0.613595342082736,0.699828647858397,0.7745653584409854,0.9675461726406794,1.0152594222310019,0.8563433963215201,0.7151379176566698,0.6702941308922035,0.5640370412532218,0.5812270913033798,0.6063113324105718,0.5320311458305081,0.6298290627610722,0.580085772174866,0.5706109546509538,0.6033165905092325,0.6000701332963393,0.6490751415184256,0.6720794368956756,0.6829721706613691,0.7783163931026036,0.7577454415318827,0.7327468613847072,0.8909522800436113,1.108572027342313,1.6191848683746455,1.8629327749351252,2.238337442498236,1.4825798117951727,1.285181639211975,1.588259160399912,1.5031469526511938,1.2965904859496864,1.169789846961943,0.9797246641723203,1.2207313788708523,1.0172817378509749,0.9817240315813348,1.0864318846848495,0.9666159264725349,1.2829510890549236,1.0193423280006673,0.86378907717663,0.7045998317646739,0.778661803496654,0.823618531747917,0.7616991799193998,0.7251144294939793,0.5625266892089016,0.7221888007952516,0.6733213898290369,0.8144313788601673,1.0711708679005776,0.7253178671540769,0.9251869087187193,0.6215132974042162,1.162741140081029,0.6182605707046444,0.6023201877999903,0.6808316239381541,0.77998566812511,0.7178596617576545,0.8052524694487743,0.9300183608548634,0.9452307832838797,0.8737101061272778,0.7364469302348832,0.6842233090042052,0.7436819429587088,0.6296751553603562,0.6148867086274525,0.5876203300354319,0.7704336911914976,0.6356644939099237,0.5360747196105847,0.5408295751963743,0.5762020017293779,0.6684372374218336,0.6108330793425469,0.6438047177351117,0.783712550919407,0.7064714568040947,0.969951375413846,0.7358978018292545,0.8221401396877597,0.8981373403299083,0.8918420351427002,1.0495234850804105,1.1224047538727824,1.028782488906696,1.0411006324694194,0.9311081950012798,0.7810682572128417,0.693993477545351,0.6660719324811643,0.6100835800940614,0.5882085537541224,0.5391452271247572,0.5897326783856728,0.6275009286522129,0.5415082457459708,0.5640620622814603,0.5299640865022242,0.5384841205359833,0.5289796329718487,0.5494757254641228,0.6514711956879512,0.8272421775872647,0.8024511509971929,0.8718939922419665,0.9109368373710773,1.0372451785406402,1.1629236510369114,1.0946964079856316,1.033061833408387,0.9692230494751071,0.9197167783751653,0.9627672189333812,0.7707445839718987,0.6117331477645194,0.651735574167719,0.6700447121414147,0.96870200215366,0.6537821591340279,0.6243918725072718,0.6669060804857608,0.6190476750927962,0.6216404237526272,0.6405443891568952,0.6963257932445203,0.6771251171237396,0.798782950003929,0.721600378032899,0.8618290488886162,1.0955370716580057,0.9084626115726021,0.7474365274721394,0.6975483947479525,0.77774094227112,0.6885476621034806,0.7677836409099446,0.7562533997381902,0.7281537779499845,0.7253982067360848,0.7924362984004398,0.9832457216260447,1.049768953977678,1.155300533329868,1.4481482562659165,1.369377435144311,1.1488828090498986,1.0115415045797997,0.8385891030518532,0.855350184110222,0.8599464969407868,0.8237085886222424,0.7976323043246912,0.7423009964535094,0.8005945005744463,0.8416577394154587,0.8781845121853405,0.9533429572714807,0.8849570506174763,1.0214265915465348,1.1261445801220826,1.0526489492844961,1.0733340469483605,0.9566701153478386,1.2152624973105577,1.454087357280165,1.3502120893813767,1.5026571609588597,1.3181355179160712,1.384003092778002,1.358677049373533,1.2533340758796627,1.3324372712160597,1.3281366808110593,1.27907600205442,1.2298986276780486,1.212812496291864,1.2866746329386716,1.1796172212658982,1.0767594010263546,1.1895010703336295,1.2796892916436378,1.179564586096499,1.16139995881669,1.281543440284697,1.2863480119749893,1.2366234133796636,1.2762481340821774,1.3647614940456476,1.32820544808484,1.4595925181470075,1.480549082239971,1.4505395554688627,1.5141747732327981,1.5165753449458412,1.4515649718117287,1.534041975920063,1.6625139957815374,2.265119058525229,1.868316375641339,1.75972813396716,1.7073490914884997,1.7105777725106284,1.6356299726123134,1.789109339386506,1.900841779284909,1.6148555203495294,1.5983350718115814,1.9027392433388857,1.8195333267175688,1.5664517012731245,1.6934521614374058,1.9898305350918954,1.6737110296394806,1.5200974908434293,1.344708238089981,1.3500589196874702,1.4127823014260514,1.393463518119725,1.3327685260211874,1.4621739540637808,1.271959018083065,1.2447028380502914,1.3898394277126507,1.2677417353345124,1.180162028991158,1.2591219724749465,1.2897810038275832,1.2608470356877743,1.241671938979807,1.3630982744114946,1.3585321278402238,1.3901051701769773,1.38490501641496,1.4354345156055113,1.4233962601674726,1.4472613707546815,1.4229662837487351,1.5302082937518713,1.5500503237300465,1.3867022481944384,1.4804953535733025,1.6190149297228098,1.5406521002124696,1.4605815063899996,1.7436814759979473,1.7716872094913672,1.5270595740256452,1.6739968534973027,1.9463982466156626,1.9809614429407378,1.7072410767376436,1.4950969098696705,1.9417236261601345,1.5397039755001378,1.5364801524524527,1.3340348681866068,1.271570926821014,1.2709909801455186,1.3309720143092256,1.1952499025873662,1.137867601371045,1.0495962790416218,1.2058426316130741,0.9764716264025677,1.0796890040141776,0.9251755681795223,1.1139853065206382,1.0147687236289304,1.0736978077040242,1.1209780822607316,1.3640475076378071,1.3497389466246064,1.4056630137908286,1.982451283676071,2.0933304366432837,2.521511640001361,2.448715985634398,3.109367189190796,3.106144007551376,3.900274713329894],[0.8473784634674804,0.857966803840094,0.942804190731618,0.7927314914224021,0.7010596575978916,0.7009349940785525,0.6245735318160117,0.6536941919518182,0.6076091197189638,0.5345181687862426,0.5178641265165534,0.5788090010324103,0.5630427986515152,0.5261686929071017,0.5367654550753262,0.567754662450258,0.556247925675046,0.5677030255391894,0.6519461615147544,0.6241054596770046,0.6559988376616097,0.7016282788065008,0.8927770495491433,0.9448811285397916,0.780571331820272,0.6814842417191451,0.6505439858658781,0.5919825612610289,0.5852985355872578,0.5869555730034999,0.5493894238168687,0.592986933053078,0.5791515391576462,0.573671994609187,0.588200383657591,0.600176433437245,0.6142346359350654,0.6432693131488484,0.6504292675626465,0.7306318815351113,0.7037917012766973,0.7005735992603577,0.7964625413926563,0.9828214429123691,1.507090839661427,1.7993373592687933,2.1758850320995893,1.338656163726427,1.1386597655178035,1.4291721986173613,1.3411956313308027,1.1142195347946928,1.041741085851082,0.902607105228545,1.171201287611454,0.9263893439003376,0.909042940015415,0.9718641946319262,0.8806530559391907,1.2167616386778224,0.9708039208827848,0.8382323911855375,0.7035093813942549,0.7157039722716702,0.831045701456089,0.7186925343576949,0.7016767366320473,0.600830832660861,0.7474092334363573,0.7269324668471128,0.8372557312083753,1.0312172125096013,0.7704606312645366,0.9549611656179116,0.6348462948465569,1.0882070017009795,0.6621985328004735,0.6078857367481831,0.6756279664579495,0.7557848602458977,0.6892086721777957,0.7516188537069779,0.889908182943811,0.8219516004753477,0.7560264678067816,0.6775478557144966,0.6632416747380792,0.724980063470802,0.615451665112085,0.6363419652277154,0.5988088361721284,0.7327658172852047,0.6377286144561451,0.5563468527580094,0.5533471126888329,0.5948058238389959,0.7017977980988886,0.6181646261302254,0.6191472384790025,0.7464394252519967,0.6647604256934677,0.8831607148706365,0.6551488596202252,0.7227208405350277,0.7674252051798941,0.7547715664806889,0.8774185721980978,0.9299835436196486,0.8381830085533021,0.8954318345651292,0.797600969975832,0.6771438039593269,0.6289243776487529,0.6109617388571329,0.5991371007409368,0.6074514054596951,0.6014499571215491,0.6420672298441915,0.6951638603682859,0.5964250150808427,0.6148077014320384,0.5963288268219947,0.5948177219672622,0.5665536938865853,0.5455154995281922,0.5915497031123095,0.7776379568445265,0.6897039618788545,0.7215335485794506,0.7529096529943867,0.8574948769897891,0.9781326028557742,0.9002594615512916,0.8423020996541735,0.79275416639639,0.7599613029778199,0.7584453348057085,0.6521776732648733,0.5775412335476919,0.6272832699352191,0.674110441908863,0.9336875832168673,0.6825179509187645,0.6146938726934337,0.6292246894374046,0.5965302740534906,0.6032864186969956,0.6137166147121181,0.6292715873833478,0.6314158297762721,0.7246335908800267,0.6817816670193642,0.7769676761424287,1.0065284458491341,0.838017209483323,0.6950958160069939,0.6415006021059122,0.698405772905499,0.6439053919244899,0.6925693162736922,0.6721295580783448,0.6698169675763117,0.6656698286196148,0.703924564590814,0.8791202835828353,1.054678410230337,0.9688267927930473,1.2317841154140672,1.1583052067047792,0.9754893886940159,0.8301260988410084,0.7369494801173926,0.7383114274004894,0.72954345959416,0.704833873472948,0.7116799294724141,0.6842867052484461,0.7321535535852893,0.7397452155763443,0.761389961313011,0.8042620919656283,0.7424983306713927,0.8476986887395179,0.9372742284152731,0.8861306224106753,0.9211694661083984,0.8918769919432441,1.0889380009516976,1.3385910620912451,1.2439315796126622,1.3631364644826538,1.0967158782505224,1.1790191959847378,1.1470463112642093,1.0370391186336196,1.1069443511841088,1.1510284907075736,1.1061609241402455,1.0555960217016016,1.0542746919297612,1.1065609154411293,0.9940518708364088,0.9029024566742297,1.0052736563048907,1.082488270257784,0.9953560960006054,0.9844076708406221,1.1009748184592374,1.0872353292046053,1.0484399567162745,1.0969806738403667,1.176037573704107,1.1404740767955523,1.2622875606502595,1.3045213404461842,1.2963813139344007,1.3565283694182237,1.3602848944071542,1.2843139284912481,1.3549472127549953,1.4919402668832806,2.110864470658409,1.718248956816036,1.6034412400433313,1.5150465901568329,1.5144627895853011,1.4330151459428664,1.5658048091949883,1.679161221774307,1.4220266448055445,1.381974650289291,1.674657470258878,1.607119561194521,1.3677918360648353,1.4676686993211032,1.7696812610621735,1.4851041747184301,1.316389750315618,1.1739066998752523,1.1603572441861485,1.2037719750350604,1.1833104484632573,1.116928200025954,1.225067484191992,1.0801406250406929,1.0572128513054033,1.1687743511043769,1.0567917099914965,1.0027353762072684,1.0591761527008419,1.0974339955752375,1.06540074244611,1.0444233216890073,1.1599428495356279,1.1689340280319465,1.2228248840267133,1.2101899399561478,1.2469650257454719,1.2321835690856076,1.2608360447573568,1.2222515214234286,1.3240028191269428,1.3528213960091007,1.1982221651663,1.2803111550476225,1.418638841175924,1.3584474209543544,1.2661361987643416,1.5560025608210013,1.6202199293304325,1.3472088578221462,1.4695144907512578,1.7382476010259085,1.7871827176920705,1.5142095940826585,1.3162945673152993,1.865059140398263,1.4279929134046059,1.4431869578033494,1.2383747759883559,1.1272924095713444,1.1505860651033604,1.2510836059257693,1.08222260448445,1.0079298314670697,0.9015664276113161,1.0273509121475286,0.8185180767718993,0.9324396446768585,0.756628995896879,0.9614069004232974,0.8380351994005248,0.894670410509325,0.9532100723221725,1.242244366257,1.1938157982802249,1.2263912774217705,1.8755736480436846,2.0013886744574765,2.3862650138814425,2.281748600237409,2.9447557074338953,2.9656510450238454,3.7860810584812046],[0.8665073114947436,0.8837168851226819,1.0212389341474528,0.867343946366691,0.8078102749396516,0.7170547994524692,0.6531609285578811,0.6766917640446903,0.6484024921911619,0.5656119829572921,0.569840092917281,0.6166610829812919,0.58259235983889,0.5165390249826325,0.5289653391784307,0.573171502483855,0.5787762495898812,0.564255168422857,0.6367463982507426,0.5843085174430656,0.5953972463902769,0.6501284321893842,0.8190256224280082,0.8501554076301441,0.7383042184201006,0.625956866670101,0.6266705793233242,0.5445033555057426,0.5800193161877861,0.5932090845912936,0.5813119324403411,0.6230237881057171,0.5998750272808271,0.5909746235182178,0.5875477817795682,0.6008984677688176,0.6059008730246029,0.6257158743376284,0.588300175940348,0.6822971539550253,0.6413300551051172,0.6602617542199288,0.7693345651459077,0.974342432671253,1.4760382967032049,1.7745462777086736,2.0742554745982265,1.275356704753122,1.1274353349729378,1.3462836628809562,1.2021779011791278,1.0407559557645147,0.9701049330144567,0.8172033117472397,1.1036511742654196,0.8105106508165683,0.8135076667339592,0.9846724868357405,0.8702068546977625,1.096809285355811,0.8910958448165281,0.7735740773260558,0.624020585953837,0.7143487688311815,0.7896946545525121,0.6421724464065505,0.6985976886945208,0.599016140897307,0.7629851156548516,0.7429195641608065,0.8583693984926066,1.0770698039324411,0.8012433754265502,1.0013701292967423,0.6528893560931304,1.2200741489941755,0.6295608762906796,0.5757634469107283,0.601296791804792,0.6852076329254063,0.6654810808404789,0.7399428605582135,0.893898349617766,0.796532159856996,0.7759089168527843,0.6700444786211671,0.6503332985755097,0.7121641026021155,0.596787427123947,0.6523402657861155,0.5987272231601375,0.7297961872497823,0.6617671728228471,0.5706200506685014,0.5753597223041544,0.6430361718619085,0.7081139774983058,0.6561679461769848,0.6700137353606297,0.7983311085370316,0.6710200095160647,0.9008188016080285,0.6615216598518151,0.7392104347538078,0.7859068142747226,0.7817509111614149,0.8877805836588932,0.8933514133389319,0.8497399128587328,0.9355411063474253,0.8560155985760293,0.7069015170519077,0.6528378350811072,0.6066227774479436,0.5653914360086039,0.5529138217802455,0.5447447973059949,0.5998643038218153,0.6609746675208679,0.5565660924300564,0.5709646648090925,0.530420021218657,0.5102098399584721,0.5081034739913135,0.5572076779187601,0.6159761903275213,0.8563111404948005,0.7157207768473791,0.7583129362758947,0.7575135363516033,0.8216003383914661,0.9156275415841515,0.8197838325687413,0.7949628674098681,0.7621948884689128,0.7596617370481743,0.7876009687393933,0.6538163115286902,0.5521324911168681,0.552519640101295,0.5853385018095804,0.8125105264764498,0.5869168504654284,0.5515611195557135,0.5771052710755605,0.5554504758507551,0.559970387883643,0.5968017139078102,0.6198212910996629,0.6553877858697535,0.7442304089527747,0.7037171162979032,0.8079588725503191,1.1285997448177625,0.9256940316624263,0.7045431128513029,0.6750686327389339,0.7179835953414251,0.6454737211448134,0.6783273466213177,0.6411752310414074,0.6260174561515948,0.6044667727079448,0.6498654576472122,0.8414121066701317,0.924921069319486,0.8932870277837891,1.177740847674889,1.082639255784964,0.9509124738144975,0.7819117995579405,0.6916105898793518,0.6990990490013131,0.6945699408414965,0.6726042869650688,0.6969123217975082,0.6770277099865417,0.7369013192118223,0.6943753771144013,0.7179103365189816,0.7895127184315253,0.7359425571182587,0.7935653141177937,0.8575737674929831,0.8476015291336751,0.9258751823053603,0.9022214068653575,1.0217814420313882,1.3400631427174172,1.1904374740847998,1.2549732944750371,1.0406199187199958,1.0399890862282692,1.0236561817076555,0.9106136572261418,0.9627446335674354,0.9905212359572145,1.0228351167533583,1.0130915043261852,1.0366514417576456,1.0415470963912248,0.9860837256879589,0.9240686851648959,0.99504165825025,1.0622749300587406,1.0239202405531609,1.0209209831203934,1.1186321046957155,1.11736017662512,1.1199346524490115,1.152756582390402,1.2299099837040455,1.2379679072502126,1.3723644383202134,1.395294194744607,1.3719603656033441,1.3738851765392948,1.3329268434687136,1.2769089791517783,1.3359068865819184,1.4148613103186594,1.9216739464350765,1.606511740020723,1.5411453516490958,1.3945944674768218,1.3903042965861643,1.3245411825598858,1.4067540842939898,1.5574080851779153,1.306442352339925,1.2575947777185081,1.5212408752257318,1.5039659562606318,1.2574643308097928,1.327011277846383,1.6470019115160537,1.3922714495376487,1.2256596894108616,1.0813990116745043,1.050945490463914,1.1031661974060336,1.1036269002414072,1.045558545986309,1.1776022488051712,1.0350755458240908,1.0224350177404726,1.118683356302551,1.0381155589620727,1.0060041720478679,1.0606015823235277,1.1128817669161835,1.1173238146538114,1.1095007548588125,1.1855922128845757,1.2285296475596819,1.3189139880356455,1.247652457346832,1.2659676537502835,1.2333010418760513,1.2150657654729202,1.1762757964040411,1.2335977534141414,1.2860761792481545,1.179926861500712,1.1933619730713223,1.3214993075644168,1.2714936937505699,1.1896234801713368,1.4146736756989544,1.5392529454345019,1.2957354370384535,1.390603024025234,1.562860024290677,1.698191537799391,1.459525265532715,1.3084552723553327,1.6658802284329148,1.4283080885942707,1.4305535323930776,1.2882277968768356,1.1968824839589816,1.310797525918234,1.3578898204199625,1.1315177098954066,1.0319336779501505,0.9453997667697325,1.0375252264135748,0.8679301346337251,0.9424966180387448,0.827011250549395,1.0602644294456225,0.9172247379681652,0.9395445392587276,1.0353318929534219,1.3232720568529774,1.2795581724935574,1.4094043880537708,1.985165693791212,2.100576175020374,2.6098429541764605,2.5296752340546576,3.2372574967752175,3.220902222864194,4.0297947264998335],[0.7165258460682588,0.736303843618105,0.827552665597013,0.704254206946885,0.5899801242822722,0.5196451052252821,0.4599605471832641,0.4745106031155344,0.46844747321396085,0.4048622418846203,0.398130691077825,0.45096276290211923,0.435733674020736,0.3964478142511983,0.42051108427662165,0.4364935579502598,0.47879943018041216,0.46831296314627335,0.5720958411299609,0.5065168411984491,0.5778181066136835,0.6196986686038127,0.846123941215775,0.8832948605829427,0.7246691196960178,0.5977938214391247,0.5715860999700415,0.44203791694602274,0.4622409738811347,0.4497358567847572,0.46600482485872813,0.47926377699485495,0.44290680855558445,0.44304019705415504,0.45637449634944616,0.4726471758641539,0.45603689453520135,0.5085123566393056,0.47457745428327414,0.5694759396623479,0.5590147178455968,0.6067227937058505,0.7575735021354346,0.9812314531088069,1.5214293344431513,1.7971908868230948,2.124702852530535,1.3294734144661513,1.1370778770871,1.3877750548792789,1.2456564445377267,1.074080768118211,0.9848511824370647,0.7958692765576081,1.0708086953582638,0.7989999038906748,0.7829369633035026,0.983615164589333,0.8192669106456577,1.087392825125518,0.8710959464949879,0.7399170344779404,0.5740456261972647,0.6728013862969062,0.7288366317675088,0.5990222381818963,0.654878742568539,0.5096869703565802,0.7012454398014378,0.6597981381622423,0.8042361502908966,1.0532343281022662,0.731531435130597,0.9521232208764586,0.5674826481492729,1.1332037880176542,0.5430740894821348,0.4857841439140076,0.5243058411594271,0.6198709676501718,0.5415662697851341,0.5984511117247622,0.7822465778117179,0.6928785114926301,0.6794012920981717,0.5276160944474851,0.5182987833628976,0.5852244141438209,0.4953232914968902,0.51430232404529,0.5000713315951305,0.7126307124199978,0.5881937790105796,0.4470685571275028,0.4488162020249947,0.5094292125445922,0.616169604984884,0.4865418221905056,0.4776778658615107,0.5978670203949651,0.5036964650854313,0.7075213464967018,0.49150524076546576,0.5419021247105028,0.5731961640899479,0.5652905591268444,0.6815658653098984,0.7367396824389563,0.6147727550586616,0.7453591451995191,0.6470129322701398,0.5010006719102933,0.4651935343314854,0.44213811710407785,0.45083795758787143,0.4533609469619471,0.4489488286482294,0.5243224190198255,0.6178363356617702,0.4785291664204925,0.5187090325772562,0.46850541922356664,0.462226816237934,0.41337283164033584,0.3934279318880546,0.44018576724659014,0.6162828731225583,0.5188533394335488,0.5415558998175519,0.5449306989542091,0.6305502730594504,0.7028803461165698,0.6541961085956289,0.6052423153368872,0.6034616103366831,0.6279316591462143,0.6664599044832388,0.5278671921223166,0.41283506412711674,0.43701145595336577,0.5357309266873387,0.8361232075503559,0.5216749282291188,0.447123976215008,0.4735925745421327,0.4287438158386988,0.42461424000734654,0.44488189487605156,0.4509358417644445,0.4702047124668059,0.5419634133936959,0.5084613957691924,0.6357470851593996,0.9559971226364758,0.772027589574916,0.5278840506796044,0.49474999541405124,0.5116935293128504,0.46781147797460576,0.4893539293080542,0.47394336707981577,0.46515427287385186,0.4829538352839541,0.525940763717292,0.7303352320496506,0.8191204187351604,0.875104747363951,1.2139004710615833,1.0916759976078128,0.9134000515561641,0.7055852358277153,0.5770757979189421,0.5625442144371047,0.5419172700878628,0.5140191549042142,0.49154310910903065,0.5047669539631413,0.5336949928846274,0.5492908097313808,0.5404132812503011,0.6707582406602443,0.5532593002589845,0.6321491364781547,0.7407902301125181,0.7211041141100166,0.831385858389367,0.816865964913077,1.0017706125202168,1.3387097449010699,1.1721236932097117,1.281369543336528,1.009490191462404,1.0194661735373989,0.9831426607539093,0.8160478150212831,0.8759039476279357,0.8698955044050065,0.8561806159462622,0.8367739739873817,0.84443278192013,0.8170273606766032,0.7251115924790988,0.668339378166594,0.7516951439108228,0.7922705693922173,0.7614493848073315,0.7759210086942394,0.8587241632421773,0.8312570512190042,0.8736603345299861,0.9043801717160043,0.9630622294524883,0.9887248320811721,1.1520529178414811,1.1815732237646044,1.151090520266605,1.1437542111077963,1.104115733986819,1.0314247871035762,1.0749644747203746,1.1582154084943153,1.6713592375998707,1.3882540794659954,1.3106907836004371,1.162864156750347,1.1444974367054477,1.066977269869155,1.2048313156251065,1.3222275014506442,1.09918747306253,1.0633790404311745,1.3598447357772103,1.334194889931811,1.095246054589203,1.2217753473925936,1.5339855138661598,1.2881463633870291,1.1273070199214021,0.911746184297415,0.8856284693821891,0.9166321623251568,0.8745210977045216,0.8351246583998385,0.9146555278196129,0.8363442568489146,0.8088846162538825,0.852087047907496,0.7509235849227567,0.7495155346249117,0.7783966864942315,0.8170435201682766,0.8301558131398601,0.8217039483893965,0.886011922122911,0.9235721255299627,1.0551396842621137,0.968461200529788,0.973841938963687,0.950779686319872,0.9350045111539743,0.8950045257051876,0.9529591720748098,1.0045930439870947,0.9034870373326092,0.9456945950927119,1.0754500204565605,1.0361204680203837,0.9663922384527489,1.2293043184088759,1.334504204893575,1.0860624095811446,1.229651165954609,1.4294282958085416,1.520933958215827,1.27189854124485,1.0852173069362103,1.7084345474430087,1.3014654036974789,1.2471194759733615,1.1141321351026958,0.9555542696817693,1.0495312681131388,1.1836184660469533,0.9305581873299237,0.879065406438959,0.7896159541934837,0.8275487300901319,0.6784698443051693,0.7177723579264133,0.6139540688611468,0.83181941773868,0.6765857388272075,0.6895841230133395,0.7869887923550885,1.1742831577369586,1.0947908985999983,1.1892859431028016,1.8820227469807298,2.107411619498401,2.454165044740264,2.3250471838895765,3.074384415092307,3.02340429623042,3.9212825908133877],[0.6279141749399665,0.6523607877948581,0.7560984721434,0.5782355335018249,0.511088443813671,0.48375863564281446,0.41341448175706685,0.43304121370781146,0.4568601055630054,0.37992654733524894,0.3745460126187915,0.43789712385207347,0.39145799404127174,0.3874113262981838,0.4138629321314525,0.3949201262298662,0.4836743388525206,0.4875168099052866,0.6402856953959316,0.5534371955720181,0.6636367283831536,0.7029818348050884,0.9372916821857108,0.9856028418930559,0.824809861326619,0.7121565076874931,0.6665368831809647,0.4761154630486484,0.47671142552437945,0.436142998477359,0.45166227107968226,0.43674645162650555,0.40836726833545345,0.4447763186044293,0.4225784620015742,0.4490518134752322,0.4352399598230183,0.5009185294542152,0.50439732950275,0.5845360302807662,0.6109215185344584,0.7033240363519822,0.8582326672374625,1.0850699826393004,1.6562683793024668,1.9030674335034834,2.218973626050773,1.4497166397522565,1.2244493526986016,1.487937670240525,1.2830473404711267,1.155402173838146,1.0612894612378014,0.8271997820738399,1.0766800345422158,0.8266278957109949,0.791981542050367,1.085422573476331,0.8869992175872163,1.0883252215523398,0.875968962497401,0.7588687460100113,0.6082580037528004,0.7544054323585121,0.804129736861468,0.6245652513126243,0.7307162911972476,0.5592593617218179,0.7253222498164862,0.7063741866695591,0.8183329523017226,1.0620814592868018,0.7777421246490305,1.0062789867973505,0.5938138455993965,1.2415019180977638,0.5574778901542313,0.48534242934327226,0.4910175144466722,0.6211854354913463,0.5260947129216469,0.5974668319546903,0.792178268134375,0.6313354034689015,0.6830414063568122,0.5175075730351736,0.5218167511122863,0.5826082210341393,0.5000144540553313,0.5256789391734642,0.5145067166176659,0.7274232954543225,0.6066654426117758,0.43848304665654364,0.4464158059451832,0.540691744134844,0.6554611097770056,0.4651853571936599,0.4342854511113161,0.591603985360383,0.4420269156565049,0.6469350412562146,0.4182279240192751,0.45856699108589605,0.4791491847517436,0.48316359758065974,0.6205405610297499,0.6553196947299612,0.5227619699963502,0.6906964163341066,0.5368507827473846,0.421848825447666,0.3961227884465795,0.4092172990949246,0.43000764916514767,0.44241897678344566,0.46817571413256115,0.5664763154015725,0.6919138299520837,0.5256660917390114,0.5658202584586569,0.4600044263912131,0.47666980785480234,0.40671254595670603,0.3647587793177451,0.41232046301337777,0.5337735020874342,0.4480452108614088,0.45721863185331735,0.4558736378541864,0.5419941428634982,0.6006440550476845,0.5589312288403151,0.5005325998919344,0.5201946010647163,0.5787404071967849,0.6712178754278876,0.5229372075740254,0.4380946352153433,0.4607682293400595,0.6583297584494051,0.9079531702327267,0.6054480723158624,0.5026312435173724,0.511643772262042,0.4447225721495035,0.4280823161444916,0.42858713182635394,0.39798149710582675,0.4221597442902906,0.48183179395964615,0.4753007800825186,0.5843742199286591,0.9702343620986779,0.7821119407742058,0.47261985670954537,0.4306958597260683,0.4513240850575681,0.39060763872211346,0.4072393280952144,0.4491019473495662,0.42095913602422563,0.4768765029155803,0.5171530705176621,0.7091257628886524,0.8127457750985941,0.8770947579517374,1.2828381336826729,1.1055949888709358,0.9355581486936151,0.689295138810564,0.5707153109240122,0.5431722522607871,0.49833685752254747,0.4597330242056394,0.42474050199881275,0.45245402886643776,0.4951393650672421,0.48565726273185067,0.4672242291468215,0.6165205145539391,0.46656631240813234,0.5661477918735066,0.6783932383133471,0.6691913489839011,0.8322365671415753,0.8564186642054286,1.0435111007488973,1.4236924824776522,1.2383666389985415,1.3312026281446803,1.0485547378849263,0.9896026404173275,0.9356181341421737,0.7430334508741878,0.8096299393774901,0.7939151224711264,0.7780812287738335,0.7663361500268097,0.8016785702435381,0.7280055802352454,0.638803399454035,0.595639399909868,0.6878474550653637,0.754899881946524,0.7551451313207661,0.7897989269060229,0.8719149376421163,0.8669716434348298,0.9343069447892233,0.9846406332332741,1.0667888598816437,1.1162466539712108,1.2442423619479386,1.3180631587088092,1.2503559466025767,1.2629696422032428,1.1750332088862119,1.0905657338990318,1.1439065674360394,1.187355048760865,1.6709001803354553,1.3996034094026792,1.3432230636312896,1.1152586633847967,1.0714377598749796,0.9844644563389424,1.0908844617837108,1.2286717542647225,1.0138543848601684,0.9660174787866577,1.2672147665497793,1.2698029923856111,1.0159897293297857,1.0949766271265964,1.448845927855492,1.2253220534120686,1.024819716103794,0.8320207876767268,0.8117568551569387,0.8089999321668583,0.787633349685707,0.7464697825725127,0.8072042451069353,0.745556001801919,0.7024532708184213,0.7739293134774179,0.693151044847952,0.7039305643455751,0.7506002768909166,0.834788645093071,0.8769461560849582,0.8718388029036865,0.9388074425958278,1.0186119838896144,1.1669058415837998,1.0651483043908199,1.0698354530250107,1.014840908821979,0.9482116221818312,0.8639075098675001,0.917097182112813,1.0112853238603199,0.8965117122855113,0.8905663860131978,1.0474434398585333,1.0304501221373672,0.9151507331877705,1.1623404647207434,1.3344294803925576,1.066315733045982,1.1459846016870352,1.3537371094310182,1.5016829841286319,1.2528466175464466,1.086716775445986,1.6111532253580934,1.3120581945138814,1.3140946052833764,1.1540316459144258,1.0160736185331554,1.1571871296684229,1.2236621395843328,0.9344785482971847,0.9178415856384756,0.8420113085238362,0.8277805895385856,0.5794187532468429,0.6579990895861556,0.5221729688689274,0.8233621805803769,0.6433573030621841,0.6469664254606676,0.8183499516786468,1.1919192110173877,1.1633015059234828,1.38042465078806,2.0285184329040233,2.278623917334661,2.688742059210459,2.599787689791534,3.5019435430404062,3.4134122673372533,4.347700148682703],[0.6595232185369203,0.6674551537021451,0.7569316370296162,0.5845196199260667,0.5276203480833436,0.5001988434759255,0.4582830537584239,0.4833274253030684,0.5159815832701208,0.4634399084512544,0.4671540780489439,0.5056812864634525,0.4703493522640094,0.49657968759620696,0.5240487136591826,0.48478098916763446,0.5725651331177192,0.5901794734779773,0.7267746523375546,0.6623895519840345,0.7896927728674833,0.8181558886859388,1.0486486780183406,1.09935812963646,0.9377362922813502,0.8236261061704672,0.7728406559036656,0.5653210601342609,0.5581759688330046,0.5253953950463265,0.5712154480878212,0.5264821331978057,0.5033506222949502,0.5469170906881423,0.5394206054116011,0.55822013071434,0.5237916330866026,0.6029181059422352,0.6006293418988718,0.6678642317384536,0.6937073803184679,0.8049526647541815,0.972125106476073,1.1741840059548903,1.7339447962954602,1.9297459586625205,2.28814242187987,1.5595417189082257,1.2713894046274485,1.559674519566105,1.375372541430399,1.252847422013009,1.1650476837892214,0.9145454609243195,1.1539905244732902,0.925139147729594,0.8895541511729136,1.1785694592045026,0.9603763331668034,1.1306919478133843,0.9711498096248291,0.8791771905420709,0.7113658334025258,0.8784607163576178,0.9157990687549505,0.741620548330778,0.8329890444614417,0.665783337995665,0.8237850076850636,0.7876869666970162,0.8929506053459668,1.1626994403673077,0.867023084095919,1.0880085188750417,0.713444832044929,1.3166200510265142,0.6822837550521063,0.613199382549309,0.632374918234419,0.7407261405993604,0.5872986800929689,0.6530102418202335,0.8365664195184327,0.7360775150514026,0.7534883977749322,0.5881564050853864,0.6068548155637284,0.6272143060244085,0.6084417257427367,0.6389486716627384,0.6119859915359588,0.819314322432191,0.7100354230379043,0.5604188349969824,0.5557379947221195,0.6343513906121725,0.7461915074297696,0.5598444326473627,0.5175127185747505,0.6335944101495903,0.4984075250017628,0.65866196796539,0.4872435326063597,0.4962585110785579,0.49769805966383385,0.5073976833682339,0.6200965124450564,0.6663183921802351,0.5173292478744498,0.6917135835260798,0.5578362386068882,0.46209696009023415,0.4510613480751972,0.4641734015500588,0.4993245993731053,0.5157227032081977,0.5572981811959078,0.6430577589108378,0.7755582346742123,0.6236071304166813,0.673945992600188,0.5727370379492291,0.5777125929455895,0.5032698551044088,0.442787444398361,0.4620809980060713,0.5515399275799953,0.4943178750467766,0.47216392485463876,0.47499024309608706,0.5488192496961891,0.5973833853970533,0.5781260359130621,0.5188245556124647,0.543703367775311,0.6221380945621926,0.6697299091809719,0.5709094159671169,0.49537833112054064,0.5239491815884221,0.7390487234843625,0.9951750187628906,0.7002679028787422,0.5824735560286645,0.5938979918788417,0.537788088407588,0.507781694021966,0.5044301397567388,0.4510914724280783,0.4853404954818779,0.51631872879925,0.5333367488705714,0.6330786158633527,0.9946327015475004,0.8414330114280661,0.5324945196642263,0.49307966201755693,0.4879164008153587,0.46197964218809034,0.4575244244414064,0.49382561132669817,0.4880803498068911,0.5371089239181507,0.5798487115191018,0.7453858627701372,0.7985544371387115,0.9430983553926381,1.3564708792061329,1.135032689076024,0.9335667542969955,0.7010001246380239,0.6102718999200396,0.5856608146912866,0.54485854919864,0.5119286149744234,0.4714093450637945,0.5187168680280206,0.535822267183808,0.5396853179268016,0.517880191872159,0.6692291246257521,0.5039811449421152,0.601148574249724,0.712133546427141,0.7061500846173218,0.8779367808107833,0.9156797264097462,1.1072308869035623,1.445211234757542,1.2679279486295678,1.3885981325104098,1.1101648861803541,1.0255193917843732,0.9674175236149338,0.7782150401499124,0.8488606231441126,0.8272640927966303,0.7962568870707302,0.7797729467826408,0.8012367237536757,0.7305940975585447,0.6328412655083819,0.5886376407925796,0.6777668439990404,0.7367635069120186,0.7411340075955747,0.7737496587457211,0.854339111481911,0.8516986394652815,0.9296882498792072,0.9767639643412714,1.0631584729642014,1.1182130540899236,1.2684702855334749,1.3282246002505762,1.2518148831710534,1.2625094470792915,1.1771714608552546,1.0809525725499238,1.1429959377289274,1.1965589359680897,1.7355769713250913,1.416551841400252,1.322073056660934,1.1341243032420298,1.0927855589705238,0.9889722569016501,1.131113590194106,1.2602605018246769,1.0276993865703965,0.9893198011030099,1.3107254222606852,1.2887834153337474,1.0364180974725106,1.163404318351966,1.5000945824381207,1.247287694995298,1.0610837008114578,0.8479413758937755,0.8316922369891826,0.837255761706568,0.7900406897995733,0.7557999601709829,0.8107789941846796,0.7590527882474108,0.7122944486739275,0.7626189050957203,0.681186032220154,0.6953096363829512,0.73710591307167,0.8188178371040342,0.8656645234982393,0.8590490053312223,0.9259011481335218,1.0088034588498085,1.1679098441267632,1.0614231486627295,1.0655223616853007,1.007375276735721,0.9409517502051264,0.8534468603760688,0.9194194550668016,1.0118272577187852,0.8887769588715034,0.8919458501129975,1.0583265166504927,1.0338221410164568,0.9140902298984206,1.1841918388912531,1.3440561379454623,1.063031414052117,1.1556301138709173,1.4008984016077701,1.5320587540037027,1.256420786920133,1.070502729662726,1.6417586622714022,1.3030041021253094,1.306123565344994,1.1548884357764633,1.005204138760382,1.1561818099043604,1.23488197910992,0.9301837418043815,0.8868300543902564,0.795956264548624,0.7961665514162609,0.586303094893175,0.6543290409317155,0.5197484538170436,0.8279918017965917,0.6487723408249727,0.6442575886269235,0.791804711730066,1.1922507026906242,1.154458327311592,1.3537007989354997,2.010703890525898,2.28090522149419,2.6677021191042116,2.5809729894823716,3.4725831681952775,3.3865076058715617,4.32633249654318],[0.7023348835972568,0.7122706378690398,0.8051537437059998,0.6434303592026801,0.5566509096393182,0.5078050724563439,0.4962197313833484,0.5230753390246013,0.5288299059739888,0.5367803630146254,0.5476350598026862,0.5868052504758691,0.5603219067764655,0.5966538912270407,0.6296823167766238,0.587335458007704,0.6482298506070326,0.6879294833328394,0.816741550696839,0.7812240597523994,0.9172042724542547,0.9618285555865241,1.1868861790300638,1.2350315265722887,1.0553778462059145,0.9392748461515184,0.9064303092906925,0.6843599883950185,0.6619987889251027,0.6084315423668321,0.677489206068725,0.6291086674825983,0.6081275148757388,0.6518221848938167,0.6531914075781039,0.6802940633252255,0.6210401656705474,0.7264337428857027,0.7402979644055793,0.8186612960635918,0.8454554564509031,0.9430290601935706,1.1417650746017407,1.3264091297342364,1.8550267753684149,2.006889965339328,2.403592150245775,1.7198019693946804,1.3908665055583207,1.7161464497927847,1.543486787384568,1.435257169585955,1.3318736764318153,1.0551143098952251,1.279205669193219,1.0923749402990637,1.0372073230566088,1.3281419217781132,1.0718709341995092,1.27082555837143,1.098147633702471,0.9948815465775879,0.8220181944059168,0.9815719419705813,0.9904504868635511,0.8634893620250296,0.937188631736239,0.7588108791476487,0.8911337800382383,0.8313322685806648,0.9438432642385735,1.244283828557475,0.9090066146550719,1.1431352108563368,0.7972365351763256,1.3545297111568935,0.7774491786792084,0.7325057843111784,0.751791606210292,0.863016767711507,0.7336249297063205,0.7836175390008837,0.9186408621249578,0.9145174765288382,0.9019757368315596,0.7187540226001945,0.7380554620487,0.7340928531780659,0.7449037825197391,0.7335661212400045,0.7214565904422291,0.9340566642886742,0.8145854479007453,0.683233814562548,0.6511943422226105,0.702347444418299,0.8054505202537304,0.6184025395272847,0.5682032843072969,0.6624600487860213,0.5719126597450722,0.6771422138856718,0.5787100877968996,0.5472993966392811,0.5712599752252441,0.5674823500136373,0.6280602719480436,0.6851341999216182,0.5307933543540991,0.7385828086827657,0.5894431738394182,0.5066306289897315,0.5058096345955897,0.5446198901092246,0.5863263189103107,0.6242688689146746,0.6681295136257293,0.738141816784669,0.8725745820404686,0.7296224063301892,0.7766776114230947,0.6816653026175431,0.6716011179329185,0.6088314164707475,0.5381227975798293,0.5374731376572216,0.5559401939515016,0.5472244182250248,0.5217912101885877,0.5513078980648538,0.5698149030669933,0.6166540569120101,0.647058797589101,0.6071824019964888,0.6330535897084408,0.6883938217518173,0.7348431895513475,0.6480110763058122,0.5848220624972204,0.6184983171353025,0.8132064873355304,1.0960017435846239,0.8194848424650616,0.7016039199043176,0.7241773241605604,0.6723466231136712,0.6274044394437556,0.5926224596264632,0.5228445083542468,0.5585264705665837,0.5586698521475186,0.5675507074751813,0.6525153353650776,1.02123945177347,0.8919197738431702,0.572672948762914,0.5585151623009735,0.5310805228371077,0.5400168512709137,0.5203777320232428,0.5787337326233163,0.6005058285015015,0.655660960898379,0.7102091860908225,0.8670105120349197,0.8388295860488658,1.0484022038160488,1.459692047250873,1.2044273976087696,0.9876608103563802,0.7921859697199677,0.7129544401952038,0.7027237526682224,0.6616302812075298,0.6293521520056402,0.5665987415600341,0.6302980229033511,0.6303904693256174,0.6603306250167851,0.6425836319769634,0.7937537666920795,0.6091119353902518,0.726630178972449,0.8164552709491915,0.8154391305178043,1.013413648775164,1.0589056283272622,1.2468280262160756,1.5440065034024868,1.3529028134513745,1.4919837486400522,1.237611672606674,1.1055051383626664,1.0407847119429994,0.8459201309234845,0.8880098352318126,0.8413093301448411,0.8247965541011261,0.7943186635788732,0.7975642418150317,0.7198300142492016,0.606242950726694,0.5647826683205533,0.6412425460760416,0.673224378974525,0.671796777380355,0.7117570481543467,0.786801014725177,0.7531741907919607,0.8398608999410179,0.891313578727244,0.9554276394015646,1.0087815422031816,1.1469655519713355,1.2301673028248883,1.1705344679541185,1.151088750266305,1.0877834061406497,0.989021465561026,1.0349952121335004,1.1066132858326927,1.6076289632849938,1.349126977648452,1.1877890875435286,1.070327234432811,1.0433488709257221,0.9434829605126828,1.1295998282852606,1.2313925516092836,1.0070424289571815,0.9915727612726345,1.314324820176699,1.2570387389692808,1.0467204852855543,1.2363470754295045,1.5176959707718594,1.2720231578183765,1.1135168836796965,0.8659402451736468,0.8681187730554442,0.8751073944396547,0.7847043673178931,0.7755373628279029,0.7898534549799244,0.8013222559446577,0.7229081655059872,0.7145674786698184,0.6267971580366692,0.6524290723994629,0.660206897396759,0.70743396943647,0.7559967504192282,0.7464197721220607,0.8026063507306401,0.8678053467361965,1.0490967271715357,0.9383024428804434,0.927714325828609,0.884506456517928,0.8333099803566283,0.7717141521582378,0.8462177674797025,0.9126104484331661,0.7956697751159991,0.8281240318750023,0.9836293750378012,0.9527249387675181,0.8678948266307536,1.141003854265888,1.2765309638180204,1.004292667703053,1.1344545251275073,1.3842598234274555,1.4943802068851948,1.2259604234287165,1.0274520255098865,1.7023328969563984,1.3039281528279743,1.233952511405209,1.112750117861678,0.9355344799252815,1.0518712168927662,1.1853818100570894,0.8907422733108916,0.8743825754348479,0.810382080203082,0.7731874602309761,0.6202166564162231,0.6403991486915038,0.5220771884378329,0.8270204272849235,0.6219234048500611,0.6121243660707419,0.7416711362509599,1.1498543368121892,1.0782358985361618,1.2265839700918995,1.9416469032490196,2.262465883865568,2.530842803433616,2.4313940588335843,3.3266553910809673,3.2239412226264106,4.239824647495911],[0.8187159482208364,0.8043392243604619,0.9058197009890175,0.7557885274698835,0.7735283458801792,0.7821867937813691,0.8208053256727774,0.8485645965009692,0.9000076574640848,0.8944074305930815,0.9137240242850613,0.9376774022493307,0.8965885153055146,0.9295922873084922,0.9505644472700404,0.8991381190899477,0.9096896066441722,0.9417788295979168,1.0255007918888688,0.9949283277525023,1.1237740651689347,1.159289102638199,1.3225400952876802,1.3767394276890612,1.2270107914105624,1.147018370670752,1.1104101675506972,0.922530205326629,0.9136326920353697,0.8911468471279076,0.955159370799078,0.9284616690085447,0.9259287533333741,0.9437230202290522,0.9385705562514264,0.9350376149163234,0.9053196941233027,0.9729144094838389,0.978491747849456,1.018394091057121,1.038848646431832,1.1565286838236204,1.348202150747302,1.5028545261008361,1.9931812295465894,2.1028726449080746,2.4697517791062866,1.8665543994084128,1.5390846401056804,1.8374436626925854,1.6483774510825548,1.5909005586421239,1.5126169357877643,1.221295171099906,1.4087005716511607,1.2548850292426028,1.1883989474387007,1.5301480240796346,1.2442981408740987,1.412883134423072,1.220644689275415,1.1460274584288255,1.0221654986862643,1.170245544467143,1.1504831121385786,1.0540864121534521,1.109124938305887,0.9736308658363375,1.0534399910272312,1.045879121101234,1.0786810495069636,1.3289752923143017,1.0824853444328029,1.2551827266088393,1.0147355371084057,1.4889065289111876,0.9854553865287237,0.9579493265422048,0.9756504023891214,1.069572247710321,0.9528999138676157,0.9738379758920666,1.1607439653627263,1.0858648032945657,1.068016251611892,0.9476595210726841,0.9663138942764895,0.9704545291558286,0.9820011042232647,1.0038493160208644,0.9703812425605643,1.1448452200269772,1.0697859775083927,0.9744051852811234,0.9564589636899825,1.021579575555591,1.1132764344263832,0.951798573649585,0.9255531168605075,1.0020157857129197,0.9112627155488867,0.9271189542534035,0.8797157892932113,0.8425764593833148,0.815438326064807,0.8235447329628436,0.8543835524110357,0.8419505717919006,0.7301541347503357,0.9007323934684957,0.860027321251598,0.78567832089463,0.8111960659864589,0.8145536064173232,0.8760990559474932,0.857418228479068,0.9126585853900125,0.9154885341530942,1.0648756537825088,0.9670938709041516,1.0122788536071574,0.9649395725643748,0.9221150075620937,0.9012582838028848,0.8539954465010243,0.7913804673041116,0.8360973607586287,0.7760928549029167,0.7397808995277799,0.7797162357794135,0.7087565476725118,0.7131076235083981,0.7717495095293397,0.7624400538302857,0.7770652712113116,0.9144461485420226,0.9155093984259761,0.8514733212356438,0.8016310134631858,0.8071551008122808,0.9718293567268069,1.2096971856665386,1.0015851706349574,0.9207311243530222,0.9400080120932608,0.9131611853914892,0.8771593372823253,0.8641550507090848,0.8244088169123538,0.8845438528068531,0.8811567869871076,0.9335782700651051,0.9928277184894103,1.383855515402396,1.2657693174278417,0.931979338383525,0.8946204976744121,0.8571592712129386,0.8500304371249515,0.7958511851115012,0.8230291054716988,0.8558952861095778,0.8674211099938746,0.9098296256078514,1.006948494589222,0.9370023867995823,1.130286587157891,1.5582239055842844,1.2729564516329104,1.0728021872467126,0.8916404671584928,0.8830507829943431,0.8803147797225781,0.8570114998120816,0.8447621251319954,0.826421289066085,0.8874710955093731,0.8975122769986921,0.8600843784826473,0.8476278903689949,0.9423150252201585,0.8227616553487483,0.8701008992175551,0.9258579247789193,0.9376163667336569,1.128337035752896,1.1903477853916018,1.3685193830051794,1.6689321286203882,1.428902902569479,1.5603603147529448,1.3970160737773698,1.1814059938809613,1.128640160631051,0.9265551054816766,0.9246545192427773,0.8728314175634578,0.856777060108637,0.8530976722339345,0.8945263404108373,0.8015223368661673,0.7957575371762059,0.7930720443073951,0.8080451675385819,0.8449364236245281,0.9381428328322198,0.9838458492303758,0.9937553397077848,1.01724801995991,1.1712329226141243,1.177244270167817,1.2360297060999317,1.3634659135940135,1.5129187240924722,1.5229078879224034,1.4406189611826983,1.3699895465434397,1.2101526327940748,1.1312804574515645,1.176261328152656,1.1458780675458315,1.6426059902050123,1.3467716560050609,1.2950883911146231,1.0714385827023112,1.0229739741761499,0.9421709697764439,1.035620215641182,1.1292085006744097,0.9802399304137074,0.9482778468893995,1.2264967096570891,1.1825372288477143,0.9948517626560163,1.1816101696768122,1.441604273364367,1.197160864572508,1.053610294437388,0.8779312375508634,0.9107998519817632,0.8930023503558403,0.8496124642882824,0.8582958840490313,0.8538448695124042,0.9281745242695619,0.82995910730053,0.8564842578022893,0.8582927595602667,0.9052861734908292,0.8854345858260129,0.9788220301969817,1.0705237506487073,1.0603351803344327,1.056138219335316,1.1789851489990608,1.3715472430443645,1.2286936239950348,1.2036876898731281,1.1155454882336897,1.0019083961138957,0.9275508101164147,0.9324848403915351,1.0120410474257018,0.9657337577171091,0.9105624795994183,1.0077018625419223,1.010221231953221,0.9135428610411245,1.11190089305159,1.2411938427267464,1.032280762748172,1.1050304894548906,1.2883632532795404,1.4152060560249626,1.174430362961293,1.0496430253809588,1.6382799090812292,1.325221141494457,1.3207284503224117,1.2736375614165016,1.152245064999212,1.362830300541219,1.4380029148738542,1.110240282206727,0.994494440873059,0.9213647648738275,0.8898603925413364,0.8449118949540637,0.803064438024132,0.7758395040259797,0.9910332263444636,0.9726633532404816,0.9286947189052435,1.097849154112666,1.47198680017083,1.391013098446267,1.59899817104036,2.255289903494483,2.56133415799869,2.8326809880286663,2.753323764328126,3.7158824176966214,3.6108696304730143,4.62083483673276],[0.8265253567953487,0.7963513518384351,0.9263376663572225,0.7659284397221403,0.7942338096705148,0.7623310772625227,0.8128594218791171,0.8454234595123767,0.8976003145242893,0.9356005332314926,0.9970066955980202,0.9890785276319591,0.9633735031800932,1.0155165926032976,1.0432859319883054,0.9917467422979196,1.0233330951726118,1.0664806778665685,1.188472513618089,1.1787300866286676,1.3287837096789885,1.3767430992596927,1.5760286445193543,1.622380854515452,1.3994689313753481,1.332487512949768,1.3026922626398056,1.0654513881013306,1.040472075531636,1.0094785458157831,1.0717102073006954,1.0115781292119883,1.0041240171077461,1.06697155956077,1.062161719629325,1.0908937773995153,1.0204778969564445,1.127000960839194,1.1358900177831162,1.2081694502754607,1.2476617247157484,1.3429077164806116,1.5724677600578787,1.7240158771749465,2.231172216946696,2.3045818445097366,2.725832625756106,2.1586770593094213,1.775456856012945,2.1091422307532848,1.9370131677687525,1.8787516201897119,1.8129268753405257,1.462269997249558,1.6165865967194322,1.5123796088733459,1.419054431120892,1.7322947118370033,1.443558932239796,1.599542103475593,1.4271444343659256,1.3598388436358944,1.2599353615036926,1.371874172390244,1.3773325539162102,1.2650816673192211,1.29321011508014,1.1353462377195926,1.2135921567209638,1.1745762517987752,1.2202851304342528,1.4942115302606507,1.2267148700373454,1.4325516981828832,1.1768495171784974,1.6336073654849323,1.1660502760884655,1.1352222526856326,1.1386790353007834,1.2485922252701533,1.1238685173481961,1.1600065742773873,1.265660864470283,1.2599192845037044,1.266567036062512,1.1066369662524982,1.1369755045902248,1.1374729006529907,1.1635490775843944,1.1204683983954353,1.128620866141936,1.3246008086840573,1.2152289214347447,1.0980979211113684,1.055701967005594,1.135955137301072,1.2266680538302448,1.0105534753527388,0.9714869221765258,1.0058984772638018,0.9645852154647699,0.9403696657889079,0.9467565722366658,0.8834485614321951,0.926922878956426,0.901449840249151,0.9272284988379705,0.9190055494439178,0.7888956028416155,0.9776069818021902,0.8591524615919769,0.8277157392096963,0.8245442473277048,0.8675188819847148,0.9487756552747615,0.9554260269250058,1.0239386607365952,1.0338376873592119,1.210903625186835,1.086529039791718,1.1247331309108126,1.0674029548327724,1.0164953890432593,0.9653795350295018,0.8763485662693085,0.8556538414965026,0.8119791852116433,0.850305205541391,0.7994090568031912,0.8639897864696847,0.8099721745953599,0.850143615963492,0.9644958368776995,0.9213955751911794,0.9478027478637274,0.9623345591724057,1.0278087050251352,0.9269372656631601,0.8811073384979975,0.9150347095332034,1.0946454704505175,1.3512495772848416,1.1642006497393655,1.0544987208819976,1.0935847871032938,1.0295302146332583,0.9687522123036587,0.9513479389878634,0.8899668176806488,0.8991221492284429,0.8861420846716247,0.9187436941503382,0.9780059051370432,1.3400489145006325,1.2853173548560137,0.9306290052679941,0.9197917735321988,0.8629283582668895,0.8935572409202704,0.8572706716918261,0.9336254957313221,0.9699495427274601,1.0065928729630487,1.086665521433759,1.2173426696241485,1.1548668303903504,1.4021461718316421,1.8274419172787286,1.4978751526564238,1.2665800352990781,1.117192006431569,1.0388788092551287,1.05862020076485,1.0132894459082284,0.9891188685780697,0.9318429452270374,0.9928774897717368,0.9861639027015224,1.0373478370769174,0.9992493470838507,1.1276641406590715,0.9601782887502365,1.078455403021271,1.1703590632268752,1.169236143953067,1.3758739306942516,1.4027774499607928,1.6084039154325602,1.8562494870647182,1.6773479613494982,1.8209123932457831,1.5366703109881958,1.4000768624672673,1.33971724675127,1.1741865269080323,1.1795291186011347,1.024582727558392,0.9584505983333778,0.9424458522801574,0.9320078001823486,0.8464019051837228,0.7928406670120742,0.7728683566038189,0.7953072275374237,0.7924332608846971,0.8413484618407069,0.8948303640585691,0.9276836863932508,0.9097528916148383,1.0590302598181585,1.080581490798916,1.1343689318854238,1.259283943353416,1.4138137113537257,1.4386656065801848,1.3572015372977462,1.29968080354084,1.1689377348945627,1.0739918943240558,1.1086250019344281,1.1370382919715099,1.640643783014268,1.3592528893631306,1.260462693867094,1.1335959938910376,1.1147782817641765,1.015332796457674,1.173604899616129,1.2388095860578847,1.0788552438268089,1.0932723571198655,1.423150430966158,1.3392731309909838,1.1541526197825942,1.3825450102051944,1.6374816965511814,1.3890574022483286,1.2651118299890185,1.001172004907615,1.0329317492765484,1.0256333668729427,0.9141206753827293,0.9553934445098857,0.9053350030329447,0.9990578143947588,0.8997271180889448,0.8594863159656652,0.8325901359419615,0.8548172244877885,0.8117991529505983,0.8650067568800123,0.9482624050840541,0.9369057322537055,0.9315531134928876,1.0545735430330543,1.2765098304262985,1.109717731634107,1.0819345455299507,1.0120942598800629,0.9341493281016711,0.8710772551993482,0.9239497713883863,0.9774161298337473,0.9119524134070347,0.9033713237781213,1.0299825573661163,1.0080704911971592,0.9517614571834356,1.1948811674679323,1.2984883739686477,1.055991555955341,1.1831192216860587,1.4044920451343283,1.467832027683853,1.218595664685204,1.0461485650475706,1.720982286878485,1.3487316314834195,1.2987367335000333,1.2261353958908998,1.0729358706263477,1.2630452220120456,1.3668849296384686,1.0459490750341969,0.9910480628879901,0.9550254593165308,0.895564172875513,0.8737954284266103,0.812513400945011,0.7948113879936076,0.9407384770911239,0.9270095191940498,0.8872216492754944,0.9929760482482591,1.3475852392049101,1.2458764110794813,1.4297843184037922,2.1077225284487917,2.4504484055559073,2.6558859323627364,2.590569154498912,3.5610333424435243,3.476103843204203,4.516050135865035],[0.9358865328754624,0.908279491522897,1.0071781703467724,0.8832836203368647,0.8612542942003873,0.8857881279712951,0.9309814056116354,0.974003804489883,1.0164686148411217,0.9996278270432655,1.0493174357825077,1.0597588247345855,0.9865130858870007,1.025065738082654,1.0420009708642952,0.9843709466887283,0.9667441999313465,0.9971129152789509,1.0855782029605243,1.055439047480014,1.1822732130103257,1.217697060753874,1.3696646183354502,1.4285001939521715,1.2686047166189338,1.2126804915075557,1.1708231845524024,0.9697249207899191,0.9692312539862373,0.9564278707672144,1.0305496553882751,0.9945836409022576,1.0117070821567518,1.0155479639335279,0.9965208435307629,0.9939024821631891,0.9603330403381118,1.0332585014580506,1.0301131552234504,1.0663625890521056,1.0886195037774287,1.210463000269002,1.3986657115445056,1.5362276864124886,2.0467549642423952,2.143422824467942,2.5164975110080867,1.9302966624350704,1.5826930534154804,1.9103650478900498,1.7040783639476622,1.658949250846112,1.5964977930134425,1.2714764860979633,1.475041079410463,1.3279201285240974,1.2470681662194538,1.5589112209276204,1.2965392902098234,1.4362632465008558,1.27164335661193,1.2141325989134024,1.0959425524267392,1.2545096438676908,1.215239032886407,1.1141454067351688,1.1629595165376898,1.0333085511943396,1.1205208115707457,1.1107733491654361,1.1441179111678998,1.4048685275353554,1.155036793231468,1.3259853419648535,1.0849567888153488,1.602248620753152,1.0625729834604847,1.0365174843168037,1.0498659989849097,1.142200921185392,1.0095707756248964,1.020899376714379,1.182980432222687,1.1098361205367977,1.1148067905711179,0.9941012606158139,1.0282743094115334,1.0324880119609463,1.049429232020441,1.0585115789200288,1.0370394765662714,1.2228697004268985,1.1646737360471886,1.0886672476804407,1.0544098124400023,1.148656663114837,1.219739924171404,1.0470254253452238,1.026094292660095,1.0928031965949807,0.9863691564939017,0.9810982711334235,0.9381269761982026,0.9116407072149298,0.8403627384979698,0.875711149271852,0.9083784999025898,0.9169644746889976,0.7940539173384934,0.9609393774086422,0.8809031865408019,0.8350681885318612,0.8900912894882919,0.8660316835232148,0.9319114921122058,0.8942579575577125,0.9437405706247883,0.9377736848457902,1.1088739770407416,1.0119273369987398,1.0497280467459453,1.0223163575644891,0.9612701944030871,0.9529319189519446,0.9225335837713917,0.835980635602067,0.8606545415937884,0.8298050512304727,0.7799125981899668,0.8089883680799117,0.7396125833187289,0.7391055543619264,0.8093518173356821,0.7960348640754946,0.8093439112911519,0.9327500853312877,0.9481071665274878,0.8629747794822754,0.8193411202378512,0.8329938134239353,1.0122354746186415,1.2389861133791495,1.0469753780821627,0.9609846091222464,0.9796972097517398,0.9475410664501567,0.9054950984642619,0.9147039395388192,0.8736642109921257,0.9513444393895629,0.9494830002192831,1.03422346889824,1.0947374489328532,1.5057522277144377,1.384503016097083,1.0347198999463694,0.9846741373768251,0.9253503093540617,0.9200482854828638,0.8486780098528021,0.8575884413206691,0.8862113675965213,0.9020186326009265,0.9620238697868061,1.05007216764037,0.9984251814468044,1.220768956222855,1.687147243273848,1.361738674057714,1.1440359588594173,0.9506390628515387,0.9152424430214156,0.9269472168536459,0.8990792406327008,0.8870765226960144,0.871330243301124,0.9305880431781738,0.9593915906615385,0.9138828478221058,0.9002011091220062,0.9797559841917699,0.8588809097777167,0.9255406117096643,0.9981488651739034,1.0012554802995968,1.212461562173079,1.2469072385342244,1.4294337981241725,1.7450117747439293,1.543818691806109,1.6830373674601498,1.4635333835787332,1.2535894115618869,1.1745103712904987,0.9656526922875858,0.9418767396386006,0.8700336661503267,0.8674464726238637,0.8727307515505964,0.9248263328642883,0.8320956296945127,0.8508246978915552,0.8511021757909182,0.8686084177044712,0.9009382901718064,1.0093168946404103,1.0643706004731743,1.0665729101217436,1.0948181147463085,1.2528153496172616,1.2576468873137159,1.3124261027455815,1.4556612186038036,1.5786391847209305,1.5946799846638187,1.501969696771857,1.442389218042037,1.24065917240486,1.1790368751959923,1.2003455718174978,1.1447230371443435,1.632405989166622,1.317043433663635,1.3427330551301617,1.0616395340298652,1.0145072366530168,0.9628586632913172,1.0433999079028584,1.1251089141352495,0.9901769727073672,0.9736785155307494,1.2203117598779698,1.1812024038859863,1.0231501513954775,1.1675959415834085,1.3797509653730389,1.2194132041414267,1.0727848533051834,0.904917617317516,0.9384653829997869,0.9233435746936126,0.8983762101186489,0.9227911433322041,0.902209119928941,1.002062713570062,0.9042330194961539,0.943558703187446,0.9469674395264387,0.9666313013641622,0.9617873071069218,1.0621717570665945,1.1668188098648422,1.141658511608624,1.1200788623443136,1.2669007481262728,1.4748729180301694,1.3148064059922604,1.2832522391057422,1.195389702996243,1.0649961886255899,0.971142188680536,0.9531906819476429,1.0533264552353085,1.0272023168014885,0.9235622360099986,1.0124659691052054,1.0393574885781995,0.9437800527942547,1.0923926451283712,1.2611564973931395,1.0567888315893559,1.0887568158255831,1.2591943891764685,1.3942609730597866,1.1736607461508315,1.0586363744378529,1.6106477927048615,1.3317734454249774,1.3266045330942464,1.3123126938768084,1.2056945389086324,1.4119663562954956,1.4735456911971703,1.15000471387669,1.0628598335590573,1.0257482307464478,0.9665015889308828,0.893449204903831,0.8304394063822417,0.8001364371149624,1.0383643680374957,1.033514565649001,1.0026769694714888,1.177491766456097,1.4948535466422552,1.4406524395750724,1.6781848950346243,2.300305620136417,2.6488997281160356,2.870261989318847,2.8145718057373714,3.815239778881213,3.7378015051923925,4.754637748380542],[0.8063897271138446,0.7966065348427486,0.9206204522002689,0.7371637401764906,0.7111002465635157,0.6817196908236945,0.70099797701867,0.7268548756980793,0.7498496885018004,0.7376567536230116,0.7594090489605364,0.7837310359576277,0.7397549499429773,0.7624833701895577,0.7812231557286071,0.7359292455061365,0.7683540343155384,0.788513452359032,0.8898630770990201,0.876698549889988,1.0019847641262152,1.0457667547961451,1.2027426827663887,1.2687584898162267,1.1340510214639792,1.0391457347129056,1.0055266733583577,0.7872600499159355,0.7788637791088253,0.7493718365428361,0.7867736258559306,0.7693303920462373,0.7514252710916358,0.7759182206081072,0.786789111785909,0.7921666721321211,0.7653436434052238,0.8481987257073043,0.87130297207231,0.918331633856108,0.9435403734522061,1.0417009942475255,1.21142337859506,1.3737696139241942,1.8900160026605182,2.0415078227867776,2.4166674596849944,1.7636856697450982,1.4510364364900719,1.7584727876519992,1.5722547810269882,1.5263511578142517,1.4192511826201486,1.1350081881474072,1.3321260280455598,1.1789044805758209,1.1072101463161381,1.3825322592117797,1.1290064181465438,1.3105993072554578,1.1554404658757604,1.0520778570277765,0.9166076322758694,1.0490929537181157,1.0707009259957572,0.9433947092952808,0.9975422295484011,0.8346941358339356,0.936799730660457,0.8886565707980218,0.9663582109603334,1.2431160990220653,0.9554193811170302,1.1673513108857578,0.8676950286196955,1.4290978675617345,0.8564646305520212,0.8162428191337874,0.8469164729909742,0.9613082162236919,0.8340853455455695,0.8802162790272708,1.0544760743462223,0.9762844474172265,0.9663454125519588,0.8464840993861936,0.8520294887065418,0.8450615942869639,0.8482813705347181,0.8532328997669928,0.8119145854936081,1.0115752727868321,0.9102259779230253,0.8073904700408591,0.7874493246559555,0.8576237583383455,0.9695081811921729,0.7737701518072969,0.7481441860712972,0.8333938638957662,0.7536998906317282,0.8021887967191819,0.7468442784152249,0.720024144982822,0.7055138769794712,0.7209782988185054,0.7726466733367311,0.8031124849091392,0.6644993615735393,0.8466841199372951,0.7454236328263304,0.6670149882934531,0.6835814444324539,0.6886740183783262,0.7235285213688736,0.7215446548650782,0.7589265910642525,0.7871727192668639,0.9443415735539933,0.8160437548236296,0.8661687005094777,0.7915780774753584,0.769911809012225,0.7510597174495397,0.7074315295127862,0.6799288834439956,0.7074409202921802,0.683015611753883,0.6489722452251225,0.6892399336406108,0.6493191975791244,0.6708602981269884,0.7321782203441932,0.6939100587880463,0.7187111673483139,0.8198196310741412,0.8791642315036668,0.7571848887462044,0.6942441541543809,0.7131963574305373,0.9146298137235445,1.1504443002041491,0.9132122032724389,0.8150547676269714,0.8357100740125567,0.7895299920970489,0.7485120341028373,0.7352774103261429,0.6880776231081467,0.7367145887992762,0.7546865911868492,0.7903096630202705,0.8640773280932992,1.2577088767328368,1.136302858964699,0.7879549076769776,0.7458388989828901,0.7130045644037014,0.7044844771487411,0.6719340218054816,0.7161078090064272,0.7323103968617796,0.7696440285468162,0.8296504055891756,0.9508314285147562,0.9721194880961853,1.1413911173958184,1.5893892284109792,1.3126067388890557,1.0929290487712882,0.8863481753831041,0.8108697311559291,0.8080233093714695,0.7705515381177456,0.7456520703607307,0.72061407026568,0.7677940698155169,0.7955875985550729,0.768340080100066,0.7620626306498818,0.8645718967633002,0.7221376135831578,0.8073107036342226,0.8888738602708169,0.9042494186717356,1.0858276221446637,1.1161700435715192,1.3054635500174874,1.6105443347766302,1.427011131321854,1.5878597618569743,1.3541409467652172,1.1982374387844221,1.1315565790538915,0.9168856919077977,0.9058159604817265,0.8407522180549022,0.8272481582614296,0.8174549108682457,0.8446532910194537,0.7636707919326159,0.7372884143038639,0.7224123221813411,0.7671294949954651,0.7972807289116575,0.8725254755677817,0.9356761388495665,0.9544327199207983,0.9545759258872827,1.0997635263432952,1.1183765070368301,1.1673107179321285,1.2847834705868326,1.4189452288921216,1.4426022556175044,1.3778713400236156,1.2993127850525392,1.1520004836818398,1.0919570292132987,1.1126870678995024,1.0885935627157348,1.5453076837527917,1.277509877479423,1.276755867153095,1.0295099155046563,0.9825585192759343,0.9177767817007391,1.0196128437322685,1.0961887460163924,0.9568918247776618,0.9424589254917753,1.1959150173662327,1.1626894964018044,0.996125333623085,1.1298903229483113,1.3645483758193115,1.2032548999404418,1.0434989957372234,0.8674340912238668,0.891671879026373,0.8734205050110897,0.839438503807205,0.8497233993968308,0.8218643823165439,0.9072087399364689,0.8073458653565447,0.8253423410240702,0.8055252519924877,0.8367778009293266,0.8265144507248022,0.9080034517554015,0.9920949299683672,0.9803217170709436,0.973175652650112,1.0951165542952361,1.296680286396232,1.1524179378963126,1.1256822156213833,1.0589374027024039,0.9514150175105336,0.8734006084847017,0.8812375843327953,0.9690191471350779,0.9259448046616202,0.8619292489363344,0.9693042884045806,0.9779894083738135,0.8921639490836207,1.0820734061115023,1.2427748461084023,1.0215466902397916,1.0805228297131069,1.2609403911331158,1.3780015927207772,1.153358824773423,1.025256274041123,1.633588710818595,1.3369956808096564,1.2718258845919863,1.2345333603716202,1.1037892398164404,1.2792321620686065,1.3772121288013972,1.0611668468969875,1.0094781729885416,0.960199770845389,0.8856316571666704,0.7919499177862209,0.7320854998009211,0.6811546284406479,0.9165318518888621,0.8850328461991018,0.8530229040691086,0.999916615260629,1.3600003305158324,1.290133550872955,1.4921708610994218,2.1466114535776675,2.498609270402898,2.7175861152732295,2.6372702835296016,3.593785841812934,3.501629429648207,4.543436371833978],[0.8670352073335257,0.8851919569035748,1.0328748384505109,0.7983541656825418,0.7727111388804188,0.6495151401982655,0.6416360445741707,0.6640816398501435,0.6921209972539336,0.6805201843121617,0.7169800680521271,0.732960478232451,0.6801549643825348,0.7266536280436038,0.7637412268304599,0.6925759776047424,0.7210074418602241,0.750407335187022,0.887774843193015,0.8657788877798088,0.9943362548893789,1.035659821584833,1.2281553763997088,1.2734067071538766,1.1001074402109172,1.0053902701322994,0.998262554322342,0.757394447582444,0.7378452377296197,0.7119452398231305,0.7515619453735665,0.7149142668601761,0.7095347266932499,0.7495378878954304,0.75353848166985,0.7685725277803994,0.7199603391660033,0.8172794160102052,0.8455731172718732,0.9286243938253869,0.9502394931778707,1.0094853748341392,1.2304000414720775,1.3861393640079744,1.9205975238979454,2.0269119328072156,2.4952124762848316,1.8395006639105773,1.471985813710688,1.8270479431575173,1.672352251493242,1.5754332082445044,1.4927320904188297,1.1988103510887373,1.3985213013378446,1.2415482402111055,1.1579708839370428,1.4147594153493,1.1410237779165637,1.3913645358410887,1.1958342320718947,1.0618617909174817,0.912197516044597,1.058021481838016,1.0940633282995367,0.9443401212862852,0.982408384861857,0.8310768971875342,0.9427082369868361,0.9170348082167463,1.0163108838701673,1.3178417049514948,1.0048462834951533,1.21344265601905,0.8722058979827184,1.3474598583546291,0.8763123314805167,0.8375611951635831,0.8596414497194006,0.9737480945865972,0.834422456407871,0.8893796247968904,1.024719435319586,1.0438907930047474,1.0250495681554819,0.8366371786755314,0.8449805315692817,0.847569441868645,0.8394160587925416,0.8306583535468676,0.8068262744709593,1.0154704718657057,0.9080497927313269,0.8005768648867356,0.7616239193017414,0.8598276469985242,0.9801177252384853,0.7307720737548836,0.6937015286035809,0.748391679352935,0.6991311114040958,0.7040151903465904,0.6832957064599688,0.6666741755258153,0.7043630760382557,0.7170135289095207,0.764543820899961,0.7786065707766768,0.6582073757801133,0.815432899820449,0.7358656572027662,0.6273724097529918,0.6061969921170968,0.6081831883919675,0.6486030456877283,0.6674716360280762,0.7078326632240343,0.7355042173607205,0.9238247796289089,0.7709560236723848,0.8101780397718049,0.7663888789176349,0.7281848016123322,0.6926824495065049,0.6413824216933505,0.6170717505133599,0.6823934432367568,0.6751620093677343,0.654544433910289,0.6798366674628427,0.6728007676884658,0.7071037260120051,0.7789999663087988,0.733512809318632,0.7512725976594257,0.7304433386222052,0.8630742505632824,0.6868477295782369,0.6150067999554086,0.6539697975653137,0.8371269825201354,1.150880568798978,0.883357036228061,0.7598056899745874,0.7976560588716719,0.7453127828229206,0.6939195468230979,0.6737615902298829,0.6183036273854368,0.6521569962271982,0.6802671039136353,0.7128856060021815,0.7725112058777361,1.1642701591223472,1.061404985560952,0.6971454220653632,0.6644948213528138,0.6247819080284625,0.6188604226381493,0.6169239610044525,0.6906836214778249,0.6892846431961641,0.7347065037932723,0.8212184936039332,0.9990741114502326,0.9578215658854153,1.19009892727745,1.6400157573424299,1.3142455586809212,1.034366587206647,0.8935084086932353,0.7892943915977506,0.8109494006459145,0.7686761649850802,0.7346488156287337,0.6845593164354994,0.7306835973315038,0.7531808339597075,0.7885038421563029,0.7590864335308644,0.9154340027623863,0.739536997579907,0.8612176883108129,0.9740363834135963,0.9655820792287307,1.1885092694822783,1.1841564089992709,1.3840484966764994,1.6210092129461589,1.535193942711764,1.698271062731847,1.3678423789655254,1.2498463234159634,1.1623813030893404,0.9816258955090342,1.0053018614066747,0.9146070622682134,0.8771124498657659,0.8845062894483219,0.888359740820285,0.8018699107471882,0.7481953211032522,0.7377010463610245,0.7610263249818692,0.7577672347515778,0.8113651676518445,0.8648233473273973,0.8901093532958895,0.8632076865504859,1.0124630394269671,1.0279154882645671,1.057365969397604,1.1666486339961615,1.3173445688718128,1.335270708900244,1.2835744176010997,1.1872381600900872,1.0839197672214556,1.0172753720013985,1.0330080875979268,1.0133196668727245,1.4737948251975017,1.208100776525968,1.1462652296440663,1.043101376980801,1.0118888765326322,0.9127596709275538,1.1139556682418468,1.1460128918069734,1.0007676951381852,1.0188807199491143,1.3204533930818623,1.200328473674744,1.062755994983949,1.3217444233548452,1.4987342473095646,1.2524372261160446,1.1641401265755909,0.9262601717437057,0.9756444299969943,0.9877840399021085,0.8758684773790054,0.9184329551338242,0.8849273421465661,0.9798680390981409,0.8727440480199893,0.8320521422476564,0.8030702230061527,0.8204175573534145,0.7801757625182447,0.8178950502725735,0.8822902810111077,0.8725242396898013,0.8684795325474521,0.962225913441819,1.1763684744463407,1.027290406421741,0.9924886503599725,0.9493226318295598,0.870649222552099,0.8394311887058992,0.8669180885124925,0.8923918974457794,0.8686851924357498,0.8646841532003351,0.944385805035543,0.9389592081022734,0.8839151334753917,1.1080951217633377,1.1881544556228927,0.996773052904,1.0948604894517802,1.3104483178798088,1.395837993009249,1.1737873244771848,1.0301441212497273,1.703684669223037,1.3761317120490089,1.2636755331970588,1.2020122100566741,1.0305029621098396,1.181797310807635,1.324650606913498,1.019233737463702,0.9869790364834796,0.9332808289610341,0.8649918287785971,0.8839599921007271,0.7739571143546037,0.688771320177044,0.9709363407219656,0.8307878498158862,0.806514296463904,0.920584540432176,1.3057496578081036,1.2193089036242386,1.3585171245327743,2.054857025409099,2.4520012241343583,2.5771365548598117,2.494252603444221,3.423233104599351,3.339659887430405,4.4432526218359385],[0.8145099742328663,0.8326748204384533,0.9803003567489034,0.7690594251186776,0.7684007447576267,0.7238035210807011,0.7683580912293374,0.8129098065084461,0.8697754594477259,0.8690010095209478,0.9332034394275639,0.9418648671189656,0.8799312476437505,0.9380888696271094,0.9926693634302782,0.9220804369457726,0.9510632338856982,0.9878606517942343,1.1043624913589838,1.115882620402749,1.2294730071239677,1.2719631250318866,1.4359182369054095,1.4938342171020689,1.3190136212520267,1.2534134020135064,1.2330433316270153,0.9885907727180965,0.9775451291152122,0.9370537310159565,0.9782822141585319,0.9302999767666383,0.9463625827977761,0.9817158222766231,0.9809541117295524,0.9987562148317033,0.9332684630351725,1.0389601651805949,1.0657481952633003,1.103593766706197,1.1422344725385982,1.2336984114538683,1.4400116158698093,1.5727085325337256,2.096648162448997,2.1757394285738876,2.6009728001729693,2.018526669323156,1.643502117686304,1.9842720315234237,1.8182268938688835,1.7550174307462978,1.6841153792224741,1.3786395131853824,1.5493642727749661,1.4389043911963373,1.3669708156437752,1.594429344279915,1.3383869120595102,1.5498886484378596,1.3902056828601557,1.2801466591216555,1.1566767964516762,1.2886582301135794,1.3170510983132133,1.1677220812323543,1.2207058456782942,1.0582586350723415,1.1343589917820196,1.1021727102287486,1.1631816334885414,1.4238052894636635,1.171118910871986,1.3719479683562816,1.0860016818128218,1.5643795140250325,1.0987692622871628,1.0731964657864734,1.0966869399218313,1.1898596162320685,1.033516204046595,1.0603987766237153,1.2138013606744065,1.1761646519969864,1.1718702656492963,1.036338417041376,1.0575528733445945,1.0361054662058065,1.0678606464359732,1.0514978688672332,1.025939794878948,1.1971340741990855,1.1255649226944484,1.0311858726598884,0.9893406808359352,1.0661250895930452,1.18043459077805,0.9830246517150125,0.9310755155787372,0.9631429220135853,0.904790608839963,0.8797364818290712,0.8578414429995397,0.8163816516849032,0.8014972810921593,0.7856805652626466,0.8020777510434205,0.8102872289238218,0.6490545747386245,0.8637963415714864,0.7483966721282146,0.7224126436630535,0.7370993229477797,0.7475131158315578,0.8381399786059792,0.8506184394332231,0.9239403513202493,0.9617455749194201,1.152957901293886,1.0051288560995502,1.0353496169448415,0.9656859007825666,0.904649919300383,0.8497317502555712,0.7877636706008622,0.722299471320222,0.7076338225957137,0.7114856899902752,0.6670560073109316,0.7199322989021607,0.6395422355478607,0.682924837925593,0.8048292072811758,0.7676724975111192,0.7832210878950994,0.7887770846727925,0.8788685190069279,0.7497406425778625,0.7276183375697142,0.8096641763903096,1.0484965967542008,1.3294914187250955,1.102320539223901,0.9555765964688353,0.9898904887745513,0.9457490974501669,0.8731697218611163,0.8489605234808607,0.7831721886519829,0.8312105749054021,0.8316178464379891,0.9002019341996419,0.9466524746475616,1.3483097131714454,1.2649929792396448,0.8992876143487935,0.8642023911304125,0.7997725328091124,0.8118884215564668,0.7520935375026476,0.8347856320520582,0.8674391880714175,0.9049168532906067,0.9984423032196873,1.1100005698186166,1.0954222509995997,1.2920281835141356,1.7609026461665234,1.3949277894508374,1.1283206194584,0.9725654546264006,0.8861672308406926,0.9273645256651286,0.8895663690739175,0.8772845295218895,0.8325197453424633,0.9020535739361637,0.9149522996333558,0.9336986134204945,0.8940954306761169,1.027557300854372,0.8251449923011038,0.9323780472600425,1.0416039432046493,1.0587328998450172,1.3123714251887049,1.319988916364551,1.5255130852915846,1.7690405029698222,1.6663897272261123,1.7975982884830204,1.4851701897930893,1.3309547683242329,1.2179083461982834,1.0121022997871016,0.9807915219493001,0.860553656340515,0.812497178157186,0.7708438587791432,0.796024950800884,0.6821840592374684,0.6562143489251183,0.6556207195698207,0.6511679178442631,0.6591458198349635,0.7579925009658338,0.8223223429514362,0.8242002206518976,0.8213057554893987,1.000938964994417,1.0205823347021548,1.0540187376696213,1.1976783162919147,1.3217545236432713,1.3620810351538386,1.2742422420693063,1.18985231614497,1.0232612908219672,0.9515660669291411,0.9627893365939697,0.9070585654248949,1.3637496194394134,1.104431053694505,1.0702492580851315,0.8916977932124533,0.866187820352783,0.7952402242200658,0.9857087463153179,1.0137328741461664,0.8635053900744031,0.8965794690991735,1.1897081965896028,1.0697226122226513,0.9458238143260682,1.2096700305854953,1.3550536667112056,1.1530574603618686,1.0750322233643546,0.8127996662822562,0.8960482124712702,0.888530619835124,0.7844826111693249,0.8674827454575065,0.8094136047743411,0.949597896999061,0.7999336796247656,0.7320355747416724,0.7536348989051646,0.7728858254117927,0.7161805196688544,0.7882036238420035,0.8960767833969665,0.8682611975964432,0.8392812970283816,0.9840304043839564,1.2354047551299256,1.0320499102598848,0.9751145730082463,0.9130745840195198,0.7847896527053895,0.722114127916041,0.7279749613075145,0.7870655563435205,0.7716433074412683,0.7228658016340287,0.8104511734398322,0.8210215376470009,0.7522248784896274,0.9635083523599149,1.0856428177279775,0.8847911486955156,0.9755304208862609,1.1879056636592737,1.3050937330506123,1.07298310683828,0.9285523993420947,1.6253328785371537,1.3115230368997222,1.1826583128955692,1.1371195963308727,0.9736849618413602,1.1433421774178174,1.268089385588004,0.9480940406039066,0.9177893865064659,0.8763336715954717,0.7789437490475111,0.7752547903629713,0.6676481577710551,0.6430378238885556,0.936468524742285,0.8340218444937265,0.7874929719099858,0.9347012237966347,1.2890023501138852,1.2291578130397305,1.4138666921963374,2.115700403458994,2.520417892787601,2.6294917942206517,2.572653176851418,3.5659867487897174,3.5164404483636402,4.616567598157693],[0.7434935383248192,0.7870971629611323,0.9588060620913309,0.7260117179601502,0.7499296746327009,0.649920787438159,0.693921095988613,0.7321492717924204,0.7480316731704815,0.7655746026006089,0.7958941747652801,0.8127319008767319,0.7924444919296366,0.8119546896369882,0.8403953741372983,0.8024394490001673,0.8459782558480125,0.8768058127747203,0.9936450003082793,0.993669009471326,1.112464377150284,1.1703239649536659,1.3280375773157624,1.3951206081366772,1.2377067643252575,1.153491008054582,1.143963257485437,0.9035127950141839,0.8746926242513813,0.8464551691501139,0.8611283509351253,0.8363635556097685,0.8306915930734716,0.8667333325370741,0.8803232234172023,0.9000963865601256,0.8621840071545736,0.9696400341466643,0.9959817955185996,1.0558556855679289,1.0825482460052755,1.1877246676056952,1.3908195452557295,1.5542448483039848,2.0524505228987984,2.1630879780100405,2.504073747879454,1.9401567520800551,1.5996927293516134,1.9169168201930418,1.7016051050602685,1.6722116303054222,1.5927754567660688,1.274899757446184,1.4726108642400348,1.305620431329828,1.233644210609332,1.556501394431961,1.265228788172649,1.4182751688963442,1.2427074212701634,1.151565810143668,1.017194082576842,1.1666325483258035,1.1711643329524928,1.0466352786128015,1.0731525794900911,0.9335548004356974,1.0143904982471423,0.9724879918942114,1.0259019805196052,1.2872399024051542,1.015894657136709,1.2455875463828974,0.9527789502232158,1.4585107854227002,0.9764385425069265,0.9343507372328008,0.966430178703242,1.0801770730008327,0.9567254811222722,0.9921982865643906,1.1802344651367722,1.1284320638543688,1.1311084195471253,0.9641197338226908,0.9860501126411109,0.9699761563658802,0.9721966601242185,0.9447084433403384,0.9042596297246244,1.0817683530931876,0.9868544464975557,0.8902692517861486,0.8506807323949545,0.9215907839318739,1.0318211426569854,0.8349940847776345,0.8053647483489987,0.8579851972621286,0.8211853004481918,0.8154725990606057,0.8083758171989848,0.7880315394073287,0.7811950916573637,0.7835846610206475,0.8072694541007776,0.8020684290795174,0.6577279589734325,0.8841320130082174,0.7499008632324099,0.7105925423248954,0.6994823065895732,0.7226699799753378,0.7865828102384254,0.8066386061024571,0.8526982528484239,0.8846258203045815,1.0550088670089972,0.9037697969133403,0.935547813330685,0.873254074203213,0.8406189374523091,0.8044423579801392,0.7281623971253275,0.7100942593810478,0.7036273639788823,0.7217712547135571,0.6782149476597966,0.7379867811458297,0.6403261699408472,0.6563178215391281,0.7648977962188593,0.7617480372647258,0.7670432291712872,0.8399217291441151,0.8815483145539368,0.7779859716336682,0.746866944905866,0.7892624371136492,1.0107820105427292,1.25155029226234,1.0389644041092183,0.9171543407734308,0.9491011878554828,0.8923102846304136,0.8381087104069108,0.81200058425544,0.744512059410576,0.7668584135792574,0.7748977625925867,0.8065466656326732,0.8590080316757823,1.2512932151921856,1.152609769325167,0.804040647040485,0.7787833123176946,0.7369750999667939,0.7503315589071691,0.7265227174333954,0.8050661281516224,0.8283873464458579,0.8625123001952129,0.9440549679523424,1.051701028573063,0.9712235772425413,1.1936755499985714,1.67676946836275,1.3119434771062048,1.1086497955317978,0.9111448671367187,0.8813722503934479,0.9050615282572676,0.8698736601630018,0.8462355108191413,0.7999615307726157,0.8570772935866061,0.8764900604174042,0.8819918365419571,0.8662894651813722,0.9754831783033792,0.8161890607396214,0.8926232625754957,0.9604542520196505,0.990327538508803,1.2298323398943118,1.2629005969710259,1.4364716792120875,1.7388755850932933,1.5031669662805096,1.5951224091391871,1.4732963913862043,1.2059008581931907,1.121174161720223,0.9090655844907589,0.8883269087370418,0.7928512566348999,0.7683998500668716,0.756625353172778,0.8202995605437249,0.6824159457278498,0.6906140340980449,0.696868196536333,0.6856755261799662,0.700240299441857,0.7933934727294547,0.8466106958364389,0.8466197483794964,0.8490552101029751,1.0006461242438258,1.012765053324721,1.0419749840171995,1.1724077591603512,1.2666886453306765,1.3111001169396894,1.223318695824734,1.1623707395267322,1.0104674623688465,0.9611277729844807,0.9719784059009502,0.9101928478668169,1.3214997824429497,1.0962328599007933,1.099594304216759,0.8781073387424252,0.8367216012864118,0.7753228442642967,0.9033670105730637,0.9595858961096513,0.8339669481923923,0.8342499581188564,1.0941772724613674,1.0050530632120769,0.8803494024689549,1.1111160579098982,1.246579811495116,1.0799264073097712,0.9957911317955057,0.7710170238500532,0.8629619344081446,0.8351732501053801,0.7786593613965602,0.8621619546214087,0.8257727465604868,0.9597936345133569,0.8166568260175976,0.7795067947967864,0.8061988623621431,0.8162894241805769,0.7626804203742975,0.8318303902286646,0.9283758691409418,0.8998159826066491,0.8704542647163683,1.0018365463979735,1.2345269507255847,1.0312661261915217,0.9824508412228907,0.9319445388904817,0.8101070262339777,0.7574545055915501,0.7404844544914355,0.800841709592801,0.7994184683434696,0.7433454911309189,0.8114312197716305,0.8406840500805176,0.7648547994887166,0.9292976485616358,1.0834286568020168,0.8887941413886982,0.9474438540364304,1.1263473699663362,1.2637117014007082,1.0484329650390187,0.912581014798065,1.581740901760139,1.3055716850714656,1.1540080947463245,1.1008098826324415,0.960346520527585,1.1087989363716402,1.2173749255794244,0.9357555249792578,0.9349648703622647,0.9039887955075113,0.8073879008946697,0.759176529266992,0.6994112713235541,0.6670185879347509,0.9800085556957625,0.8587301450559119,0.8112136415842948,0.9730449210652011,1.3159273519773798,1.2523711380262281,1.4513291573270184,2.1410290041647504,2.546773870904718,2.657882879700775,2.596148316797205,3.5916056576657156,3.541240635284669,4.655516677020387],[0.6469238750487828,0.6944188903658755,0.9186242930461056,0.6336993293412104,0.6441007318433203,0.43579719448053716,0.4361318469490185,0.46794123776522323,0.4708645365259688,0.49308321837069785,0.5275952634011742,0.5499401883355605,0.5242398222284377,0.5730766509763682,0.6381774206197043,0.569896788558612,0.6140531270881573,0.6470899353458491,0.8040371997659829,0.7576489243391036,0.8757639005962021,0.9231989985767703,1.1152798779312825,1.1627973459892422,0.9934022575044663,0.8842252138675128,0.8903873017612364,0.6654080558267403,0.6358864515878143,0.6098052116959523,0.6277481857297853,0.5956473162248737,0.5796032480093651,0.6409999393443891,0.6475019984587906,0.6692828819279252,0.6256871981360416,0.7371739736247563,0.7663643087975206,0.8611438923209951,0.8667824538656719,0.91895185281079,1.1363024423477015,1.304078923461791,1.8392069737737877,1.9944404726452138,2.414030758546676,1.7468252399577069,1.4261248968517786,1.7718120957286263,1.597064264981068,1.4984144707224796,1.4059189546787936,1.1270687721837467,1.3467594888724674,1.1321765772993302,1.0538589215916356,1.3399129541692454,1.05493721897639,1.2953920677508983,1.0752208459005956,0.9386641502220214,0.8031723459813602,0.92002802544381,0.961887096483853,0.829947768834152,0.8667455660885779,0.7231298337213494,0.8433040624457615,0.8487896908347612,0.9548393049903173,1.2410139765768728,0.9211780400138408,1.1360366942236793,0.7575529752018041,1.2312070101584898,0.7725181391730943,0.7340583189900332,0.7688615385534376,0.8898615263947287,0.7664421831010079,0.8394290060745709,0.9477943774887666,0.9768144910373827,0.9708874303392879,0.7650577677085876,0.7709901711137006,0.7808917483140418,0.7436867542944914,0.7274306520857482,0.7060953552902592,0.9122698501431791,0.7961933493954999,0.6678244045560656,0.6349299613173158,0.7371193417592932,0.8850178761000483,0.6088686151369638,0.5472688251858304,0.5782528357073226,0.5721800294495575,0.5855223786648669,0.5811512532609688,0.5645350725488119,0.6470660318428058,0.627710141069087,0.6958028565066179,0.7250649371538143,0.570711903168289,0.7325676054281509,0.5991467465391052,0.5274611046853823,0.46118754878073975,0.49603051486005734,0.5288467333387863,0.5758886661820417,0.6123010839076471,0.6757744436012615,0.8332921797944182,0.6742056691623655,0.7056732268290793,0.6362877556411641,0.613128001685811,0.5600670604941288,0.49237250350086015,0.494580739844057,0.5311787959815645,0.5864426264495408,0.5572320838297494,0.6125435830635245,0.5970423499680607,0.6429872599799701,0.7287365950105799,0.6808713519509357,0.7009808672307585,0.6512264130555135,0.8022233909015549,0.6254618451241912,0.5517487569852725,0.5983424214744341,0.7775320292191618,1.0740958409445496,0.8089369486749749,0.6917419457496373,0.7322207944264328,0.671745947149857,0.6196108345168607,0.5756722083955143,0.5092392990839933,0.5156933944916502,0.5198782874196787,0.5180607118450659,0.5932276767871194,0.9349771569114433,0.8631147272034345,0.5276699769511174,0.5199855531751931,0.48545532688469917,0.5092903246750274,0.5430025895150209,0.6419905308791591,0.6277025645462186,0.6866881420055212,0.7696350717878389,0.9601370860813101,0.9377105922302174,1.155080910350152,1.6075652579454394,1.3024906897874262,1.0313972749721023,0.8755647307509248,0.7517389453248636,0.7767078622356746,0.7300287481912936,0.6889473358414064,0.6315931343819802,0.648886931318626,0.7002960372917849,0.7471522450099158,0.7172064936202189,0.889946564770623,0.6926966664732952,0.8369215771308112,0.9379970416862633,0.9325090294249916,1.1436718397663992,1.1303162467669672,1.337377790475822,1.6035983653046584,1.4882606589486926,1.6307393119616913,1.3447417545395808,1.2138249618054213,1.1224308026757726,0.935585333748674,0.9488981181613405,0.8652734190384975,0.8154998448489471,0.7696541630108749,0.7846621134110054,0.6523557158337542,0.5837732836358653,0.5520302929426233,0.5380859907789624,0.5203076123113644,0.5548752919583916,0.5948043735251478,0.623262292919009,0.5819400200336827,0.7239040955033318,0.7562920860640319,0.7706857316976572,0.8793476177004195,1.0041211428615369,1.063459563020406,0.9987741227255515,0.9196889093509837,0.8249804647862069,0.7577971657668175,0.7629813080176973,0.7806569123405234,1.2304024116570988,1.0206509087950726,0.9191433974991297,0.8371491525858882,0.8447794245983671,0.7752503996245736,1.0003666253860188,1.0210946069623001,0.8492130287316648,0.9133158400349258,1.1954535095374346,1.06628302383201,0.9451221154161511,1.1906391430013914,1.3173561018977247,1.1517802827783734,1.0651810374382844,0.803468991856808,0.9069042335819546,0.9043367774206199,0.7749825035397317,0.8621237777306471,0.7824438507048443,0.9044050727556007,0.7726084126342895,0.663440748652887,0.6445868080884224,0.6321615828707489,0.5648803001743735,0.5730550531340275,0.653678398885741,0.6197099045962073,0.6053762559748265,0.6930146446214501,0.9591933730961721,0.7398767766939954,0.6918466112523591,0.6615298298375862,0.5983864696262318,0.5852907646020697,0.6509097908673809,0.6360017846254035,0.5966846051768093,0.633135879767519,0.7172052306509985,0.6974267400230076,0.6746552860411134,0.9062397031054816,1.0062031497092905,0.7893986782794313,0.9171718650948603,1.1295905560391364,1.219858971953213,0.9890773457884178,0.8123830787924883,1.6201598481540398,1.2516001790801239,1.02564369429609,0.9379645664962358,0.7494197786762582,0.864971465958913,1.0434054752151383,0.7540112025971867,0.7778466006196951,0.7570323921793319,0.6744558342386895,0.7169497230982781,0.6089452002852704,0.5118326098269461,0.85889485674019,0.6132980474136105,0.594247113983917,0.7237871849340866,1.0951536073126955,1.0040439874436922,1.1087472076887854,1.882498849143684,2.305661625198291,2.363512801642628,2.2872187390984324,3.231606829760986,3.18259215085811,4.372448022897146],[0.6588299568116813,0.700192580333027,0.9567780547733,0.6491413874662414,0.7072785979840314,0.5026789323250248,0.5291444360433155,0.5703876959484439,0.5930930404815468,0.6264397125538959,0.6866454262320685,0.705427343921363,0.6772528941539496,0.7352315119606686,0.8166603019585993,0.738233750012451,0.759478976017163,0.8063631767761626,0.9443295115194823,0.9297417798610851,1.0406342085200275,1.0942485057293552,1.2741940113970678,1.3189039249032168,1.1432104393368365,1.0416025493272665,1.061468394023812,0.8218114171284608,0.7943293342235764,0.7717020446497933,0.7934318422617127,0.7558172061086234,0.745627224338296,0.8085134536297782,0.8153005866605924,0.8390711184141614,0.7948898767993686,0.8931196952175934,0.9487841189543028,1.0397505851401787,1.0561486793222354,1.087101227098701,1.3323985626731751,1.4848188176977606,2.0003882176810213,2.1061396699616295,2.568291381389339,1.9587177168706564,1.5996245942096934,1.9726146115442573,1.814797021314961,1.718567336389282,1.634253998635784,1.32651547253425,1.5107906327849874,1.3515481990867477,1.2514556370710528,1.5116679180651744,1.2305371844503465,1.4576145561111382,1.2320645528456138,1.0952173977964519,0.9690223929216086,1.0717043216036428,1.106282921002872,0.9823759968780528,1.0143305713385913,0.8758961823575563,0.9749488612366961,0.981675965787479,1.0859425222334693,1.39712546731489,1.0605387324721092,1.254312340534059,0.9090504761619776,1.3183996098803186,0.9301388583148915,0.909003446865988,0.9462503745961345,1.064510089436672,0.9310890870340668,1.001466186264053,1.07165575471084,1.1698219190557824,1.1555221323513079,0.9304517613858377,0.9392755966092382,0.9442378009106045,0.9121614580195306,0.8852793984131705,0.8634412629031749,1.0719401658656367,0.9600700442394541,0.8487792435406885,0.8121194121750268,0.9200416176732772,1.0510323523185745,0.7695604209487015,0.7022706630250903,0.7073224002778382,0.7095560295234044,0.6677753879859712,0.7152321863102832,0.6927806676103588,0.7828239572033984,0.7456345285090589,0.8096984733886504,0.8171395966456936,0.6584278376952101,0.7953592665520967,0.652782104460796,0.6210265703448429,0.55844221560598,0.600175524562116,0.6525402620075953,0.7019029430326316,0.7469791798103316,0.7919322756361081,0.9680662362695555,0.8180078293949593,0.8351889320684596,0.7785736941374309,0.7379754416340667,0.6889117511496347,0.6073044624021436,0.5823730366213735,0.5662454293726972,0.6689492239772677,0.6548732005581072,0.7283450844233684,0.6835650510226491,0.7576203138502767,0.8678263880530916,0.8199418806953281,0.8332143690720755,0.7300776023293921,0.8777338796086274,0.7040055000432814,0.6462063519742618,0.7242701154295025,0.8956531196841442,1.2220841932922726,0.9616103094623855,0.8370328112030442,0.8896505387972494,0.8197301309224172,0.7577938891220648,0.7103078924267783,0.6391770784227603,0.624581865486956,0.6120351351504486,0.6266611842329275,0.6840628488059989,0.9761378946346556,0.9597769761660817,0.6463657690226309,0.6531075934743582,0.6013939149879128,0.6400912097915438,0.676703512628096,0.7716279500269559,0.7785314315544904,0.8365501745150437,0.9451824359400117,1.1403088176733291,1.0745757222050416,1.3112637391677877,1.7719199831386732,1.4091960006175361,1.12132065418895,1.0041710532791555,0.8711613394331942,0.9244738461507471,0.8795463850044898,0.8459785155470685,0.7798892694172203,0.7958035911767837,0.854967507509301,0.9157313330636186,0.8889708119718995,1.058367246588504,0.8352639929345205,0.9950856810351962,1.1117895531418747,1.088085599308449,1.3344668025138329,1.305341969188081,1.5316841565019068,1.7658766250682085,1.675798010483106,1.8174938158914866,1.4981715867073748,1.353038428919192,1.2417065944143948,1.0716700731791156,1.055323910427142,0.9320360242355666,0.8723558519468945,0.7979921480577966,0.8061847854515055,0.6816006798866199,0.6209375193377676,0.5842818287863687,0.5363040308686314,0.5166013463844521,0.5477841790828932,0.5758336784386041,0.5916482462162465,0.5542913864170523,0.7091198529010592,0.7415060854458502,0.7453554255137345,0.8721465420362173,1.00073376225896,1.055719951558273,0.9770407078101054,0.8980418131892773,0.7961799317641453,0.7246909726223978,0.7292922738944085,0.7538025283746318,1.1925047514125673,1.023464036475025,0.8691444664579663,0.8267274604171164,0.8575548425561867,0.7934742851907649,1.0565791578414852,1.0386154199969042,0.8646713500421419,0.9676667933132206,1.2417804877696301,1.0726112144380537,0.9765054576424897,1.2611613812658087,1.3251443213533973,1.1624155994772105,1.1144630054117457,0.8238348003804623,0.9648522515284006,0.9802465041496066,0.8271526592637537,0.952913102081599,0.8664294413588872,1.0072132032966103,0.8430901987430335,0.703954764554189,0.7184295131129618,0.6768076648492584,0.5865380634980651,0.5827993154483124,0.6679718952241702,0.6131591426423055,0.5818325980055667,0.6733819873879666,0.9466032680209272,0.712715237431839,0.6559203090466023,0.6271064784362889,0.570638907076214,0.5843843100664773,0.6613127837658446,0.6081608013612452,0.5735098462067043,0.6344108688550572,0.699608854481747,0.6710744518879129,0.6671325870220739,0.9006407692312797,0.9767635540098885,0.7646669174964309,0.8990184472797159,1.1195931302643678,1.1860964350225955,0.9637345730464779,0.7957847175875216,1.6392904337369167,1.264835730217071,1.0148940400694701,0.9210942868924372,0.7226413429071007,0.8367230666710141,1.0322872955343043,0.7396110929109242,0.7590330890708721,0.73264295967299,0.6519451781043465,0.779413464478462,0.6263022780528852,0.5522582704444584,0.8760651708955393,0.6593358868611723,0.6382799531094296,0.7662992045468355,1.073717559775155,0.9900974469911528,1.0835649021947267,1.8585019507071356,2.320560690841072,2.2983713520201796,2.253571733777941,3.2255382168312456,3.2187690607527655,4.472649408903174],[0.7362159296432962,0.7601989572693268,1.0044481303176718,0.6998819729534802,0.7887520547387433,0.610336935035622,0.6278260170511446,0.662755106941325,0.6746056830746622,0.7006385350988165,0.7508831890763175,0.7729883032663543,0.7490089554211667,0.7863636839787067,0.862360361576709,0.7924158043593652,0.8110419278383353,0.8374091646279083,0.9549874762303905,0.9595775583320234,1.0502226339576242,1.109128646641385,1.2737725963910993,1.315545176804805,1.1621507764676202,1.061545621196877,1.1054900210678593,0.8729596645788035,0.8469062683557839,0.8362651566543713,0.8263901420463653,0.8165591383289633,0.7991810623345352,0.8510196005242056,0.8654864067747001,0.884749173888084,0.8602698733707953,0.946647010583061,1.0133529935266143,1.0974732819398463,1.1124148744593276,1.1300058307694847,1.3657189809348265,1.520316910272488,2.020394112602862,2.1387261422687707,2.562720601419516,1.9740821820101342,1.6451123052970236,1.996621535157064,1.8250092806910179,1.7518328273754322,1.6715782616736958,1.3667776566066665,1.5384054871659256,1.3758933733320196,1.276609838791623,1.5426104891191073,1.258548627534587,1.4681013979318673,1.2374638417664137,1.1035070268696343,0.9823532262492353,1.07162414562207,1.109606900563983,0.9971667966243516,1.0135052243022933,0.8887668402178184,0.9746391773027558,0.9885392402445989,1.0898332487868598,1.3917123710061192,1.0563130552321573,1.2443774458250243,0.9147709942691489,1.312760645015336,0.944291595379107,0.9287465625537219,0.9733220178580532,1.091496048054628,0.9797244897832882,1.0581839496604968,1.128626491569369,1.2257132435341307,1.2211277623927062,0.9934938489268408,0.9939378763185638,1.0029784193127698,0.9520429645908832,0.9197520046183593,0.8886200723161849,1.0773580530167222,0.9735591260263622,0.8788140011241451,0.8495830654176909,0.9509108275107704,1.0968358892771617,0.820687027079094,0.7679526109502715,0.7854833205451441,0.7901117672618276,0.7540352911338767,0.8056348147255169,0.7991747170311511,0.8812709322128126,0.8468038161520786,0.9035159273383362,0.8878302893096914,0.7588575572087756,0.8927818865241252,0.7443329200775912,0.7264726281893575,0.6631340600767144,0.6987875595295778,0.7325716673490549,0.7752323808432903,0.8026126076877701,0.8377650602529148,0.977034918288001,0.8429485397647049,0.858867577103324,0.8198224052114711,0.7857980864732285,0.7608590637651299,0.6943887667255836,0.6863088199242263,0.6615745992494376,0.7736515338138712,0.7674588614651918,0.8332700641309843,0.7653802656367621,0.8327102176864162,0.9370547252520061,0.9062429853023546,0.91324049047027,0.826348996644999,0.9479956298884946,0.7884541674321321,0.7411326992456991,0.8168527662122497,0.9813118755234431,1.2884976232201628,1.0195955479368835,0.9097427227287893,0.9598494863395493,0.8888372016404785,0.8344859392704138,0.7962064316430164,0.7427789112229394,0.7279592815969316,0.7200188582604207,0.7262865976321826,0.7758436984454182,1.0440163103064948,1.0313761803055823,0.7373397389887028,0.7426766830455728,0.7105249668089398,0.7308358388606065,0.7806837681012277,0.8742209367785986,0.8604662227908163,0.9213964130383391,1.0265388915045452,1.203791838378793,1.1601258132435004,1.3577984410999702,1.8148638814013094,1.449714550489753,1.1942451631272006,1.0776511595146885,0.9579211122184731,1.0094150906401218,0.9666226504712562,0.934245596831805,0.8748344030350981,0.8797623877329038,0.9456427942500452,0.9965353775687633,0.9741388985603826,1.1318827610096969,0.9250413677360044,1.0723536206513733,1.174743499573245,1.1525928190372206,1.3919704185472166,1.3580222738315655,1.5763880277747002,1.8195289280169589,1.7132555805649967,1.8446100135211483,1.5520470920871654,1.3826647750723924,1.2774183985262144,1.112165379333368,1.0845951853226425,0.9639290727935513,0.913043325053045,0.8339902406731367,0.8745626280844373,0.7415152957347756,0.7209245669739754,0.6914965842800704,0.6125848941122964,0.6002501914065925,0.6447726923287551,0.6563932708186504,0.6516329944607286,0.6357962801768035,0.773204854540437,0.7926127090146482,0.787668231493116,0.922638143594908,1.0282938016256342,1.0688534436894805,0.9680422914116316,0.9056101024168863,0.7915808607146901,0.7421386852548886,0.741489514119357,0.7360932070822042,1.1824333219901741,0.9938116607813142,0.8729603569179603,0.82042791096857,0.8500911398239959,0.817036306711038,1.0558512913344604,1.0003342704355271,0.8613459597156153,0.9730304632400806,1.215713309603697,1.0337530631888459,0.9645619775294795,1.230058495432305,1.2476347062468016,1.1162224889843735,1.1108157990855092,0.8389124914607348,1.0193745559206546,1.0165469450820088,0.8904117790254396,1.0346017499854334,0.9669792748450767,1.1119063976727912,0.9301132708126263,0.7906794923197885,0.8444308078552819,0.7842815222605972,0.6989049708892954,0.6996379486713875,0.7862094413543402,0.7116392930520593,0.6731974958669884,0.7663202471262833,1.0117770177977732,0.7846160062878775,0.7309931611581237,0.696354227908968,0.6407022750397395,0.6612987619847067,0.7007864990853626,0.6427154207687811,0.6378586498810705,0.6745872619584657,0.7004277391313399,0.6846574546988365,0.6915312334789773,0.8727111824084736,0.93193660422955,0.7574389916056309,0.8800380030808851,1.0452895269092815,1.1417679445677948,0.9419300877376673,0.806922940543828,1.6261510257653646,1.3028252639301696,1.0077934712250434,0.9210672969299643,0.7441609529819361,0.850925342892571,1.0208482953347142,0.7623364902759985,0.7939537587337088,0.7941194874797289,0.7001501766022858,0.8272007191503689,0.7008863308102856,0.6447263348301654,0.9650273971896219,0.7637541562819913,0.7407478388968639,0.8691786405417443,1.1295888492219177,1.0580754685964437,1.1511099043984674,1.890404187402288,2.359234564902317,2.282230967127131,2.2703715751450617,3.2403004350671107,3.267982898801558,4.557127222426044],[0.6673465346306684,0.70429551893877,0.9818901014775702,0.6384295286565094,0.7064203750685103,0.4861450770004193,0.4727923102285262,0.5015921668364344,0.5119222144398845,0.5313530028484036,0.5737600631425157,0.5902988318528629,0.5702246155733344,0.6170392550505321,0.6742312170372676,0.6041143292601434,0.6206893155911511,0.6476575732236342,0.765601575765135,0.741576349080944,0.8471745741359179,0.8888185486150638,1.073783657643322,1.1130599555321912,0.9511192608095839,0.8375429866322031,0.8701498694344612,0.6533751114254004,0.6411040537653766,0.6297252318149862,0.6469832304144207,0.622402511563209,0.6080309832573181,0.6626021329055445,0.6777796519827682,0.6952582281865552,0.6686182423209858,0.7576401477571933,0.7937182592678733,0.908959753329148,0.895519427849489,0.8991061067408604,1.1323011994752852,1.303694677847539,1.8346991676620987,2.0009260381367415,2.441124251092051,1.7631315046312772,1.4498713031071042,1.8115206805721402,1.6454311835114197,1.5423406850694916,1.443962228177313,1.179804710950222,1.3836716937130453,1.172172187433807,1.0733046636959616,1.3525955845062272,1.0586679837534037,1.3004315695666366,1.0776690432700617,0.9438000299933887,0.8059357853391776,0.9019670801761803,0.929496816352301,0.8181393503649891,0.8580737112694095,0.7020429143754429,0.8224966948674695,0.8449832958619027,0.9923615394703695,1.304245273436344,0.923271286112361,1.1070311299172877,0.7438705930679037,1.1672881811039186,0.761513455980766,0.743501172601915,0.7891745236438069,0.91744959991201,0.7906686779364088,0.8743918227050231,0.9797825280813075,1.0808647346451006,1.0475372794765707,0.8095313711625614,0.7894592081358666,0.8126678335797527,0.7558358326922648,0.7381197911258446,0.7135346792621555,0.9232864349773107,0.8197251289174119,0.6869144578871222,0.6501765642113168,0.7576917927739604,0.9357941455684781,0.63481232505386,0.582850007589413,0.6006227293374273,0.6033886536303465,0.6076682971045747,0.637922212220156,0.635158013520246,0.725279071645842,0.7054401499158953,0.7920499924041258,0.7988926663019489,0.6637201564812066,0.77559102028852,0.6355418125820204,0.5833621622620678,0.5042921154899208,0.5315623028229542,0.5765672284755446,0.6192902045147967,0.6292813653701768,0.6585870087645408,0.7716012375890199,0.6679639406870318,0.7228669656977155,0.6880786507107041,0.654876708434761,0.6050630011108504,0.5275798381052778,0.5228127838484542,0.5363552209394301,0.6486386172039399,0.6452985252381338,0.711099813501191,0.6923121238752812,0.7562736791837211,0.8398692408048358,0.792993544163804,0.8046105169312877,0.6895180164692877,0.8591802369073185,0.6641084723564156,0.571128518232962,0.6353158355866452,0.7662650809426388,1.0863405155369468,0.8025696820440354,0.6959074087130908,0.7445730543623712,0.6835220894777352,0.6358312230115484,0.6072935259567424,0.5555417586573599,0.5530857650084049,0.5639810526759483,0.536636187472007,0.61531704203985,0.8508772047426312,0.8447825817215506,0.5554138860509036,0.5603633106133913,0.5322524927771874,0.5506726546541453,0.6239003842661276,0.6973733838022045,0.6706326947912182,0.7245673539491738,0.8288740277900393,1.0460166081937288,0.9938311691707449,1.2443932063819465,1.6996085400883343,1.374000005799955,1.0941382863076057,0.9683359540176094,0.8196597813288277,0.8562603351474591,0.8058169818599519,0.7620512652216159,0.6989798341175932,0.6988147593780965,0.7575800121572634,0.8254117280039699,0.8078105238244964,0.9742080100858034,0.7822796470617489,0.9436955684767818,1.0431651458070885,1.021057454099922,1.234335461487557,1.1984405591268228,1.4090686923879463,1.6552065439912165,1.5819385577911405,1.7281175926116958,1.4309596777281632,1.2928357267751962,1.1940163594976994,1.031949191820848,1.031678447125893,0.9467531878978076,0.900558516717446,0.8184843531595349,0.8441311927548519,0.7113975182019515,0.6531570199827508,0.6034160658741284,0.5425725512914342,0.5224648472157525,0.5333067868395189,0.5260686218245244,0.5426989601645845,0.5015248510077922,0.6160010229367019,0.6472929337517092,0.6376059982630196,0.7435926736046466,0.8664326103849002,0.9275641411100813,0.8606751994463627,0.7810273035622238,0.7289302934134307,0.658264846401211,0.6597730024102697,0.7081226850414455,1.1436400542719567,1.0001339162446283,0.8168180881664256,0.8167998585137162,0.8572566999483349,0.8103113441464302,1.062243018160801,1.017732997793515,0.8676397748272583,0.9787440808826232,1.2211187544827742,1.0389381010487206,0.9715240385786471,1.2498545547599995,1.2649979741327153,1.1225133932497584,1.1059631432817183,0.8321638275087725,1.0035684731234897,1.0099922438724047,0.8642104475747306,0.9895522709650412,0.911466061503903,1.0391538512837866,0.8784802371362849,0.7477652416831613,0.7551549675102951,0.682465417733742,0.6003922958903184,0.571306360978383,0.6244166378308739,0.5561406029715501,0.5370988220954506,0.5863133815313742,0.8344960560000666,0.6184407825561592,0.5794715867736216,0.5725258555680822,0.5615830262722398,0.6082430009553851,0.6829605228426918,0.5928669206342292,0.553952091056893,0.6399176361179764,0.6705096626865927,0.6317446608197707,0.6576729687261325,0.859958456161658,0.903426385050386,0.7187840703658297,0.8604294750279814,1.0510028182475586,1.1168100319097258,0.9282010757576455,0.78558014706532,1.6534008838560066,1.3230385095853676,0.9714004808516571,0.8432130414104676,0.644141636916196,0.7220443898374876,0.9334987402211452,0.6914558416312687,0.7279115585145894,0.730072472564828,0.6471945256960518,0.7995540368225121,0.6439510144047417,0.5369819876079588,0.8755901588078847,0.627462213586648,0.6340050636330341,0.7700517342147926,1.0176817215330685,0.925279747844952,0.9643916115980193,1.7476484312876381,2.2108347039436334,2.1273927398617887,2.08511240190721,2.9964378383560257,3.0377795697546284,4.34060644594734],[0.6708543776961936,0.7304750015785939,0.9943897619447587,0.6795981825165703,0.7158487122985168,0.4886512632207271,0.47056197364477703,0.4986132292838334,0.5164949241144685,0.5441039216247743,0.5949643748064719,0.6067427614621709,0.5890063664283087,0.6480701391675098,0.7227581544654713,0.6411922907195047,0.6602192576173985,0.7181179101912845,0.8523589203585372,0.8397878852469922,0.9903799003194478,1.0328123717441413,1.2533760080851204,1.294340986218965,1.084959110730294,0.9571004571424913,0.95468938359642,0.7205092091136781,0.700126046268192,0.6754229233139335,0.703888408490981,0.6710741439630653,0.6569284234587716,0.7300057276979982,0.7436999596715392,0.7622635972021028,0.7137507646072091,0.8178846954335158,0.8658473974612304,0.9965347761419496,0.9844181346871657,0.9965833124306301,1.262438651650872,1.4136081942095973,1.928619878423578,2.025162953429887,2.534019448414931,1.911188435779487,1.5278165445556307,1.946727759141516,1.8269882636646326,1.6700523200862252,1.58927282696729,1.3030758084138294,1.5309323649027478,1.3117909595685642,1.210110573384794,1.4564929321486308,1.1714325775602696,1.429441165850277,1.1936073379030139,1.055771136633167,0.9274661643549493,1.0302756311850452,1.0439720119646652,0.9380898275397329,0.9915043525198556,0.8025241977915057,0.8979374174311525,0.9218927063608593,1.0713259619700375,1.3949485856911932,1.0102075404845476,1.1609246986271768,0.8417699398703063,1.2114036769500383,0.8632642494356516,0.8481064440011926,0.8862763185411093,1.0117040169559632,0.8656182742000812,0.9582061376377431,1.0168899969405014,1.1865589748876533,1.1179797719534057,0.8681701157088224,0.8654951902870587,0.8701973414071685,0.8297186868600548,0.8030834239439363,0.7856037779768897,1.0046055272563597,0.8875513689237577,0.7461906197485313,0.7107900767692522,0.8188668733526002,0.9903307130687109,0.677726893679439,0.602314567890732,0.5961076335853587,0.6222717020408651,0.6124633747892752,0.6783252542007667,0.6514385042469183,0.7655425149256839,0.7326899704977471,0.8448032758197637,0.8628347462606947,0.7057794721319786,0.7866995268713085,0.6552762436189509,0.5923735107308661,0.5005666527146667,0.5327279007547843,0.5904946547401216,0.6367332579626884,0.6679338043148567,0.7010626209884213,0.8661539439488584,0.7351535731622755,0.7717278573564613,0.7225444982328927,0.6759795109263862,0.6134670054571446,0.5228548399253446,0.5123387849088152,0.5422782484718794,0.6638014469036286,0.6708445032335605,0.7553158360398939,0.7521280919161977,0.8427131095636795,0.9374169130835501,0.8697027349054784,0.87704162395715,0.7138460864288753,0.8803311059957899,0.6725545023188414,0.5641125490087487,0.6572976159292498,0.7588723477441482,1.1309308522494965,0.8635676549785772,0.7425646246363957,0.8001155566344166,0.7346238910837954,0.6744779080707853,0.6351016091034497,0.572898101841493,0.5604296932419142,0.5606441945885384,0.52853600877221,0.6192142276005146,0.8366431265777233,0.8306578865698071,0.5546057267898917,0.5632304549764113,0.5303040146915143,0.5723564920843897,0.6454891998864616,0.7222358364247022,0.7216371392871986,0.7702321386238458,0.8835257985181838,1.144458495863957,1.0325360802210635,1.3452718646004356,1.7766527775477627,1.4412182853561697,1.0942749631702455,1.0104054724929277,0.84525709101513,0.9097158347367983,0.8562961605634756,0.8116410490240741,0.7470619037533047,0.7443455555140714,0.8044656245002075,0.8865163161160255,0.8778973080061954,1.0465294410708499,0.836470726656553,1.029729725829224,1.1540683655080994,1.1133753351640887,1.3293886732558118,1.2710297722008128,1.5166310918812482,1.706742771859519,1.6901116321834375,1.8641607085375198,1.5151476811261584,1.4246377134869421,1.312177726965419,1.1629734415647834,1.1518710553669353,1.0423065777355813,0.9899047646041226,0.8917163292810141,0.8753401098907196,0.7861417061639099,0.6947805232649957,0.622409831636127,0.5938194216821807,0.5743391980866089,0.5459529798419166,0.5240173527036818,0.5659708109951113,0.511258413273455,0.6073784091930012,0.6476298486386974,0.6418369812343302,0.7292376173737823,0.8786442060263734,0.9421837145555051,0.8858784584699125,0.8067052051878946,0.7851841894138769,0.6920638195047765,0.6960227765324815,0.7908109020976181,1.2021482299580961,1.0955548217589555,0.8667212060757562,0.9245411604546209,0.9961225085596137,0.9331977906423027,1.2335656389693295,1.1724586643673756,1.0023094236050742,1.1141946121995407,1.3577175240350428,1.162505131299953,1.10249148435248,1.440107463252796,1.4206076796456912,1.2436568612351921,1.2300041175067027,0.9267048912983786,1.0801859260385973,1.1225838079986579,0.9485670238907247,1.0619206617021293,0.9728500756805469,1.081485700174725,0.9331307971531163,0.8062826465286141,0.7841098770286274,0.6984118136934552,0.6161562237070415,0.5663816704092628,0.588492449209582,0.5322113182053357,0.5336887260616091,0.5581973842172551,0.7998570703731318,0.6105045356304555,0.5763229310335726,0.5774809784211403,0.6028009098681312,0.6663352281023226,0.7786138876251437,0.6686178518283714,0.5949997359490315,0.7299380008119339,0.7717509913712087,0.7029635273924247,0.7402846992482712,0.9788844732273673,0.9955987574731655,0.7864581589269825,0.9580101917763802,1.207994834855769,1.2153660200709533,1.012210426363156,0.8433390442887441,1.7558766508064072,1.3299453687495204,1.0321665189274731,0.8692291543717123,0.6655866102456569,0.7449224775630768,0.9721258831483834,0.7149214573999967,0.7166799789496964,0.6981052003847905,0.6761358836704364,0.868449076078225,0.6761242858164219,0.5591121624500296,0.8625422963156133,0.6221183748727225,0.6482747832397446,0.7978704361917455,1.0025178831138102,0.9084918936583685,0.9239920932494151,1.7150275160134443,2.183730020518291,2.114724733086773,2.0511331554699157,2.934421570847041,2.957581642197964,4.248767775147693],[0.6816237106627463,0.7268038691981824,1.0396573309034354,0.6818609939844977,0.768860899802676,0.5680578737038858,0.5848834261647843,0.6180588359286188,0.6630316583765381,0.7103367177265566,0.7586176974702208,0.7702002285525515,0.7586077922463411,0.8058516901176542,0.9038944261234181,0.8197943268848614,0.8311648635253741,0.8891929029161705,1.004772365677187,1.010999161786941,1.1566442277349709,1.193396678737634,1.3984712931758232,1.4214291362378892,1.2239169996005466,1.1089708628933304,1.1128045847004826,0.8887276913091188,0.8725299683254728,0.8467770450596392,0.877165873476501,0.8451343244996058,0.8415388227459016,0.9004381417225125,0.9147868492613819,0.9294562476659153,0.8845404702779502,0.9651322068344013,1.0260996166083702,1.1462708027060837,1.136388813780206,1.1513176597195824,1.4122304793360219,1.5430058052082885,2.029472157062648,2.0911420096948428,2.6083118583989116,2.0349250132653767,1.6293412972158345,2.0580251985189157,1.9436701584953473,1.807496625037946,1.7317877465398905,1.4391427737828955,1.652870287672842,1.4348223987506608,1.3348811745623173,1.5899434461553295,1.3072310828551832,1.5379732843163594,1.3113509207125074,1.1899848224951253,1.077448737059245,1.1668734901120912,1.1643819217428393,1.0884644847246236,1.153818722237515,0.9730920795031576,1.0418648062357228,1.0646581317622708,1.1999959662098376,1.5267627951339506,1.1483310690154709,1.2618778901532315,0.9986113660183348,1.3038524655548078,1.0205712847668487,1.014495244822783,1.0420873500477346,1.1653794252786964,1.0193766902809336,1.1072168746644946,1.1299462809176037,1.327047628829528,1.2532996412091575,1.0033618603162482,1.0239143640656438,1.0143225783931233,0.9900189345626275,0.9562295170274112,0.9462618912039356,1.1598109347170167,1.036965201022766,0.9264636689277034,0.8881337898685953,0.9934586503627715,1.1400145263486552,0.8506403802732566,0.775023860324996,0.7430234213008126,0.7896080267307733,0.7450034159326542,0.8426927284615853,0.8079827663408665,0.9081969614939168,0.8590560832228228,0.9473726803729063,0.9443038627576645,0.8001571271061932,0.861667778181606,0.7280554510294496,0.7203357381317129,0.6442706451445058,0.6823559251982108,0.7513722630984502,0.7916715492994003,0.8264276005817187,0.8426460730343251,1.0090415642044739,0.8960171793219477,0.9195294204458873,0.8804816565029185,0.8212002392317418,0.7538383326404697,0.6610297233463479,0.6380939799338117,0.6106718531498293,0.7403200216356279,0.76211467545488,0.8714208988757114,0.8329659026018357,0.9224975766079743,1.0213052118166928,0.9639878408697694,0.9665083039218676,0.8214946679492953,0.9212626777031092,0.7570255259445555,0.6784008154423544,0.7832291305528399,0.8712552088071979,1.2232862561769071,1.000195353604103,0.8919647963576247,0.9531138232756564,0.8970129634019812,0.8339420340721155,0.7963170696397913,0.7313938556466402,0.7138185945630289,0.7082527759214203,0.6734241645786706,0.7119525963751705,0.9154538167084604,0.9209974110975669,0.7136214993700635,0.7222022992169567,0.6975301851185827,0.7357919876724186,0.7862103114374843,0.8734297795047998,0.8800213288908335,0.9168430777731176,1.024783133219752,1.2696913059589916,1.1448750137434378,1.4050395811258676,1.8248641072385552,1.4677513705187293,1.1484651056682156,1.0816005976784593,0.9500827931248055,1.0349499865170924,0.9869049565799363,0.9506409984289217,0.8988154380607396,0.9050917657998706,0.9617661256547675,1.0347176348578082,1.0255176281354186,1.1686747364029304,0.9608029326922457,1.1407192511832998,1.2550566950639106,1.21149714329412,1.4560272124234093,1.4008203330984779,1.630164471957704,1.8063384889177085,1.7927559660948058,1.9580188791952746,1.633002967408384,1.5061031412055057,1.3686749161580118,1.2276515711615892,1.2001906648869245,1.0964455791067118,1.0428386653931219,0.9280293136453936,0.94354632457739,0.8335893702047501,0.7794014935753613,0.7058750095944603,0.6249008602933108,0.6218489402834124,0.6050831493025189,0.5569304573003213,0.5793775456331197,0.5509587988594656,0.6235801973068961,0.6465484935445189,0.6355015510995258,0.7325553709876275,0.8579265980565053,0.9152275264867595,0.8570712105792706,0.7600395347866996,0.7392588157736905,0.6701721989580086,0.6761766119739573,0.7710266825936011,1.155832229840713,1.110747651169355,0.852435961623214,0.9351671106034756,1.0136841505913756,0.9679573304585004,1.256497644295499,1.1613212537189992,0.9979761968093857,1.1432691209565027,1.3723568081789759,1.1400933616984772,1.1088109448197425,1.4424482609262184,1.3752418487787745,1.2131801940493285,1.2307066577000532,0.942691026370176,1.145876495502465,1.1830080818513533,1.0158333229965826,1.1664589595935853,1.0754530856610427,1.2043407916589508,1.0326674327178305,0.8907505133641381,0.906742974309922,0.7982264958990672,0.7021552803877776,0.6646844271101457,0.6918676573960365,0.6046680266697797,0.5966630238918357,0.6122744125643466,0.8247082756493296,0.6272957934738342,0.5996065674594658,0.6069693166490816,0.6356386475154147,0.712860327732685,0.8084799281116305,0.6690643850478669,0.6103436528757691,0.7545863784156256,0.7628102066838466,0.684613179460261,0.7409624811450874,0.961784975636408,0.9456576935051296,0.7645206711852268,0.9324388450934407,1.1714152705063547,1.1806241882963133,0.9890403027241871,0.823785685219372,1.741976184879147,1.3383067688797003,0.9968385139831496,0.8381293541959955,0.6445848687529879,0.719885745288701,0.9344672465087928,0.7019215622626906,0.7128682129165246,0.7107397845504198,0.6922950050170905,0.8837351900065992,0.7353987296435338,0.6188739243046881,0.9122497802768089,0.7056104579462599,0.7246804073337244,0.8664989770858498,1.024299546403556,0.9461461284993121,0.9557582240365934,1.713818681358095,2.2059562000375,2.0808618782295936,2.0520425959411397,2.945370894120503,2.994051780614392,4.339240873192462],[0.7798119775960977,0.8044460528400041,1.1318848532878854,0.7768899682391088,0.804204608500613,0.7163203922032689,0.6780596002385071,0.6911463607707886,0.7307028275556235,0.7529830124623523,0.7939229575776722,0.7849366999604885,0.7534032473857086,0.8214119411483584,0.8774382947285624,0.7761766592188616,0.7740036889554719,0.8042656590957562,0.8827196013735724,0.8752434017026893,0.9935109326841216,1.0237680763984145,1.227539902427689,1.2582639267543354,1.0759986437281368,0.950926174540628,0.9689632738279014,0.776045962275924,0.7771280005559694,0.76097178587698,0.8017088256580535,0.7738540303284126,0.7690478575384647,0.8054760618850132,0.8233541296539291,0.8301611556220071,0.8051108022554124,0.8713249782756094,0.9170490525496625,1.065323101976042,1.043468256162188,1.0175356351005775,1.29000739692597,1.4491981073775075,1.9546277401787338,2.0790463660571223,2.5423962379313254,1.93559023090905,1.5914731315408914,2.0032261289144677,1.8655771417258535,1.7206182455562435,1.6283483919738746,1.3585879721052627,1.566168498970449,1.332049945258315,1.2235669369190196,1.4980658561282953,1.2023882530934669,1.4473295089854534,1.1972181738388723,1.0509125415976628,0.9378861559094691,1.0030981998543138,1.016528005687361,0.950730668182798,1.0138388932904612,0.8423570835933685,0.9283193188391844,0.9945188302307153,1.1717185476876322,1.5057288363962287,1.0714016775476216,1.1451592179262642,0.8903857116021523,1.1842287604447446,0.8819322909245877,0.8806045677766564,0.9266992173879304,1.0549365111305455,0.9144183219333427,1.0233561680625496,1.0605073493944714,1.267450516035315,1.2007922980131025,0.928651345197185,0.9152427561442937,0.9287314645369458,0.8724605512952331,0.8470382759607165,0.833473191868618,1.0428580020172622,0.9455498207047079,0.8345096514617425,0.8221832573576926,0.9296189162212884,1.1185129135324325,0.8215841749474223,0.7542235717133858,0.7452289457044872,0.7466857592941052,0.7322816546544548,0.7993045700661976,0.8106104623971242,0.9073364235440086,0.8763583772986686,0.9835024463400132,0.9844810039044772,0.8198410751251085,0.8728228026617538,0.7408662021774329,0.7317058403394355,0.6852834292727952,0.6920881173671718,0.7540035025042227,0.7852190583169003,0.7723268483318024,0.7779979251932841,0.8881681151899198,0.8224690607646914,0.9002403437517068,0.8910011460985137,0.8573756616021456,0.7940522602930488,0.7394870370923253,0.6790842595495419,0.690346068065919,0.7479926369760509,0.7853444774295818,0.8822781729138691,0.8628428131224651,0.9586369216645754,1.0573375017748594,0.9795698198008608,0.9873786088739279,0.8352144602456216,0.9605049917335282,0.7736101381294872,0.6731506746146487,0.741611169460017,0.7853925878962306,1.1464053180466938,0.8887551137700355,0.7998538069376065,0.8629499332585684,0.802926019279907,0.7615196375205915,0.7488904693411667,0.7141171710074942,0.7195562983496195,0.7259079047207683,0.709948074898646,0.73060772255115,0.8970676805297597,0.9310798042597579,0.719463151882955,0.7196271691994726,0.7061285213365475,0.7156597552499803,0.7907339326616346,0.8492786243064241,0.8157101732099695,0.8623613908957963,0.97160891657349,1.2438102699552211,1.150071544446212,1.4310568466536706,1.8845255182134022,1.526169953057225,1.199938052711313,1.1118939579971143,0.9506535694807642,1.0258124042894774,0.9678448683683718,0.9154631070297912,0.8662488252293189,0.8468182030713893,0.9245997938105363,0.9979477726513355,0.9978156538287274,1.1532779511158686,0.963642050524272,1.1508828947991219,1.2678905507409328,1.2195240406387544,1.439796489568317,1.3598044064609889,1.6076551793955065,1.810025535553166,1.7755162853584412,1.9419293098630017,1.6440777616489501,1.5240481647810569,1.4121337988450857,1.2652732919164265,1.2212126060772075,1.1181983581692536,1.0790473180864315,0.9714438640302725,0.9850785503941837,0.882830312564098,0.8317452392128784,0.7473761763327806,0.6886217586190704,0.7072623511833619,0.6821478550195859,0.6435971555462016,0.6569741185520407,0.6500137026311854,0.6975915425805688,0.7204417376216543,0.7025435598546961,0.789418344747187,0.902941053681981,0.9447302372339051,0.8863324161940856,0.8210357801132173,0.802938089136063,0.7375397271720875,0.7415437167044432,0.8122106147275572,1.1420745460443797,1.1270689885545218,0.8966755175013678,0.9839776476116688,1.0596498005088508,1.0128897878705176,1.2633225151982943,1.1243483031618386,1.0093905001119805,1.1741273581998526,1.3811538503105776,1.1420911515041432,1.1156703339091654,1.3970816049298422,1.320621804936984,1.2050568613880939,1.2238177119357092,0.972648247015747,1.1964999462066983,1.2266610669293543,1.0801290260133438,1.231162755458255,1.1488687419205836,1.250851265805186,1.0903882824886764,0.9594230323157932,0.9566496153405697,0.850309079616731,0.773845434125177,0.7515132682387068,0.7773513334384562,0.6995077311519654,0.702639919146082,0.7087274024642736,0.917833804765482,0.7161122430448585,0.6974069988731876,0.7056241124170606,0.7226490037225881,0.7964397478890789,0.8907438752706215,0.7413219921454705,0.6944738821752033,0.8183785306568083,0.8152790097665309,0.7476454446173509,0.7931254555581566,0.9826271488682775,0.9662026174997863,0.823504190267612,0.9389532844727725,1.1238363265122366,1.159737831929952,0.9888615161684006,0.8627369472792218,1.6692259010404016,1.3864658169222785,0.9919028016451185,0.8730851617993559,0.7245258425940709,0.7764281138189635,0.9782586076222627,0.7818921703998525,0.8030763190623997,0.7747567610898931,0.7331039881722278,0.8931547163921182,0.7683490743056676,0.6569200255324704,0.9493727362654436,0.7113414138318813,0.745224063744951,0.9053115157232631,1.0612732181378768,0.9938877789238236,0.9555130262673764,1.7123670863465934,2.2200962513584823,2.0387184324910015,2.0363960021085044,2.932248296651609,3.016385925671203,4.414996062809741],[0.6959351261858929,0.7420223845375461,1.0430062777728715,0.6782666760654683,0.7220637646960562,0.5441274253401244,0.5189124416994673,0.5327720665453392,0.5632380782881105,0.5988190503996453,0.6472099102190247,0.6328833016775048,0.6149092661328149,0.7008373192731744,0.7608639003842419,0.6659292886485959,0.6661994336827382,0.7222477992479087,0.8435949946395205,0.7942290805014111,0.9371771438736807,0.9322408360450644,1.178899057073212,1.2191391782274634,0.9941432739926098,0.8887733985513565,0.8386680919663039,0.6896661679749553,0.681758178172006,0.6619780046020115,0.7098413374818338,0.6769422951681,0.6657717080156286,0.7215037066684855,0.7274096465017652,0.739739147361276,0.6907664110789082,0.7731092875848026,0.7747951727270104,0.9227888167323628,0.8825127242085723,0.8716988972744999,1.1202224319956648,1.2630871279582168,1.7687390885314096,1.8770944198482222,2.4258620197749954,1.7571836234689928,1.396024728730043,1.8315149873205985,1.7502171399058424,1.549459659849608,1.453775974914034,1.2237450916786174,1.4691398640095175,1.2283348493992772,1.1240297231979075,1.3442067645636728,1.0779456793612539,1.4060278018396664,1.146010862430752,0.9949376070006791,0.8856880724548906,0.9778211215421431,0.9640828701063032,0.8998491555358358,0.9897368192195203,0.788323704969469,0.908174536244626,0.9364221043201926,1.1213617126162694,1.4534639529507083,1.022526781526985,1.131929729690019,0.838261586127202,1.1228573285418735,0.8260108393279348,0.8170656974762232,0.8536049426101361,0.9801683304449239,0.8094224943861333,0.9008909119957272,0.9481740973518464,1.1526914083022362,1.0491411311353431,0.810396762064757,0.8004522718658215,0.8287224050882654,0.7879532641655169,0.7678789330823186,0.770696747814296,0.9757127926296975,0.8860246111453094,0.7391848582201253,0.7181382802219968,0.8228322355862112,1.01452925553529,0.6946790497547675,0.6315593818395305,0.6095247561724245,0.6474121890884118,0.6391053758337577,0.6753643609932107,0.6698721832183083,0.764698535008289,0.7536825410477596,0.8834179899516205,0.9020298028243658,0.7590464282934951,0.782232073061908,0.6711049974297423,0.6016760765772424,0.5322152624450821,0.5446644910685948,0.6138403610091188,0.6513074913243855,0.6811938296244876,0.7136012812296403,0.8333936391768467,0.7424880804014206,0.8067601130956341,0.774679198014249,0.7482925637214327,0.6484345585970852,0.5736441963848061,0.5232239490040519,0.5785426789934024,0.659043862432096,0.6836204760394688,0.7726713371100806,0.7837817144100092,0.8824171169333903,0.9606406098939336,0.884176025677823,0.883548794039659,0.6928711681333682,0.8478945957609901,0.6273524636802097,0.511786036220481,0.6153402217534866,0.6927110525734114,1.015459416763903,0.7763401332306296,0.6785006373723154,0.7238259027488767,0.6839741824955587,0.6428071363899998,0.6282865374224378,0.5757738866225409,0.5723575403624243,0.5727051158934028,0.5387415157212005,0.636186301709755,0.7874025127063655,0.7840146631325414,0.5802916149406409,0.5815849293000513,0.5552830609285898,0.5887239063549157,0.6544447212437989,0.6962452063708376,0.6949566462744577,0.7181781603784879,0.8148956464416445,1.1017042451874843,0.9716496884735808,1.307146822328942,1.7172108998933422,1.4081179408288662,1.018760043258483,0.9744540156646097,0.7965679926512698,0.8679155198805596,0.8183015947170102,0.7753538867732493,0.7257960190397005,0.7185779900117513,0.7913148303574657,0.8758491004179403,0.8551490370587108,1.007733677795446,0.8191640341645992,1.0237806115280272,1.1484315965405372,1.086182299067232,1.278635486973565,1.1971559855947835,1.4357520779885187,1.5850699386315237,1.628063570752242,1.8371256411839543,1.4769136505287253,1.4375764749879447,1.32663755452799,1.1954175171938266,1.1985960703085696,1.1025744850780497,1.0424830432208012,0.9414340482627789,0.9255341005528647,0.8655300264964421,0.7747918826381556,0.6757364188297513,0.634290115900223,0.6390826267663129,0.5797034583015148,0.5217541367869966,0.5603602971079433,0.5384880180887655,0.5575845809806561,0.5866064325760992,0.5782376908938057,0.6374717560883577,0.7738494349678771,0.8389526424559215,0.8080073914922397,0.7292833917902082,0.7609692708165373,0.6702876887642771,0.6886963380107298,0.8173552266441287,1.1727583537826562,1.180556868748359,0.8763013380897694,0.9771016757544458,1.0663968293609278,1.0237426096131639,1.3217913934642986,1.212614686575922,1.0455993458727526,1.1854924459399587,1.4072952052732781,1.1670204745791988,1.1457420719614428,1.4747596665677825,1.394745542486542,1.2287349514616188,1.2468170289968485,0.9713840535151361,1.162429904469094,1.2152830655500237,1.0596803873854872,1.1769273851031652,1.0867983410013926,1.1739299393877782,1.0329728220120193,0.9193404465229,0.8964222974489906,0.7769171930497478,0.6954042502227034,0.6477706389917256,0.6282501208448953,0.565095238587649,0.6076134081268756,0.5727999827346619,0.7548824482124652,0.5860736599062668,0.5795130698793791,0.600087433690873,0.6738677989668896,0.7549426407905664,0.8776879507168609,0.7224888398549559,0.6256477058043962,0.7953490031681012,0.8020649749043333,0.7176675848643512,0.7721130473030494,0.9867678927185188,0.9647494167798459,0.7805484417808468,0.9463757180768738,1.209987642586436,1.1660809786326993,0.9871307716044672,0.8441775920733151,1.7620113317749344,1.3760455929751845,1.0070099933367462,0.8044589699100678,0.6186847926177259,0.6685956658518418,0.8932009184743301,0.6903084226185768,0.6777014813069203,0.6694259773457925,0.6934052546486753,0.9242604218612177,0.7094499083798188,0.5799978064454577,0.8710360641415467,0.6336375252278657,0.7003142103176236,0.8915244514895746,0.9862299406769757,0.8822910414923745,0.8303004112402521,1.5990014383685636,2.0667361693455173,1.9189300493395915,1.8779932499993146,2.678575741635981,2.7553426230307188,4.09390013612873],[0.6895992547418692,0.7402020796635111,1.0296445002657897,0.675490302906488,0.7103303057375056,0.5026894188373456,0.48538827781722055,0.5105446330423974,0.5359846568717307,0.58930400426831,0.6520863529531458,0.6455808212484938,0.6301938437965934,0.7145543322631018,0.7963151479900382,0.7030054393750504,0.7062945308541365,0.7834359043512944,0.9196741353301523,0.8752871145634479,1.0391429599993685,1.0287241332872663,1.2893738738157459,1.3289851548690381,1.0693365706147548,0.974313918089962,0.8938562341345575,0.7430169586095353,0.7323733263618821,0.7055835164716242,0.7630675137875134,0.7155466377883283,0.7104819750705237,0.7767675424120423,0.7778257171111911,0.7975858774423963,0.7281256120605365,0.8224211414417927,0.8241400055336141,0.9647550405159706,0.9310930397468644,0.9349560542717115,1.1850381963296959,1.3073995457289989,1.801980939325892,1.8526750875781879,2.459148284537235,1.825667101011098,1.4219575504886142,1.8762993912528012,1.819566300623147,1.6048128424781423,1.5156750354453938,1.280139305498981,1.5237890726889607,1.3051414463506406,1.189940706029733,1.3894137621472429,1.1403896733341872,1.4799541547473,1.2080729247050823,1.0786466948226239,0.9720385820785272,1.0870740360521196,1.0487994557737943,0.9872021424309382,1.0905010734202942,0.8765456615208366,0.9880386572210219,1.008647512279126,1.1864769547409562,1.5244572582080982,1.1081798813860688,1.2151933056663857,0.9140955179597621,1.1735283395348735,0.9048487841140498,0.897272328299611,0.9321711068702744,1.0607591831833507,0.863797159191475,0.9509761511368499,0.9704240708446509,1.1884856580815673,1.0752061948506704,0.8423630748388344,0.8539193351824373,0.8709421656832343,0.8565944654139726,0.8245824423413045,0.8407711931247267,1.0541506222505925,0.9490652433264436,0.8050785687870227,0.7733005758960776,0.8797552772344145,1.0572321163809721,0.7276759010207361,0.6512424277677596,0.6158041880322372,0.661946462845843,0.6395625732753366,0.6924493472708956,0.6735247220885356,0.7711238735008209,0.7557388605387154,0.8990646619778483,0.9257595841369566,0.7738213880916556,0.7803187830023978,0.6685172937353379,0.5961925603826388,0.5182131120426747,0.5416794846292001,0.620427037533026,0.6625234493639964,0.7080568801735762,0.7444699982298643,0.8977346336951535,0.7929713714804042,0.844325491807523,0.7954868261336034,0.7464096040151705,0.6523333479384558,0.5601972362287118,0.5112976093725229,0.5630727702744858,0.6576632203957405,0.68307811277921,0.7776293731964907,0.8074637741061725,0.9140361482266572,0.9850660865374062,0.9072901566632697,0.8986106895994321,0.6961602703877048,0.8442705429329186,0.626385679298684,0.5133726779832463,0.6333782634133923,0.7171797793728066,1.0485438449032478,0.8309067741769535,0.7178779719882392,0.7664105457851538,0.7227210107153099,0.6697629633676372,0.642475552354796,0.5809544539169832,0.5671817441151724,0.5631655626512594,0.5199652620164548,0.6220506501221654,0.7773452013256373,0.7759574656354541,0.5754831745899317,0.5874136116291072,0.551544599970245,0.6003300214676525,0.6643836128845563,0.7039375262428156,0.7258304774173936,0.7459825061983626,0.8411336622860445,1.127669417371767,0.9876195462712699,1.3136727259876528,1.6876476715929802,1.3947437030836374,0.9965349699633749,0.9717465823142103,0.7963429104093825,0.8760552904318489,0.8295187644685476,0.7928331059108137,0.743450847481621,0.7436050960524244,0.8186438585623395,0.9060246118254035,0.8779452802296696,1.024603324185167,0.8293618837426973,1.0423683050919685,1.1763239105705636,1.1072599486991892,1.308385194058094,1.2205507070032628,1.4640229937399958,1.572699455053766,1.6511498937747915,1.8848215553320076,1.4945833593672717,1.4707501462067722,1.352734237406102,1.233824044471113,1.2476063972340152,1.158080118378233,1.0942629792742313,0.9889639030333622,0.9535822078171465,0.9128073048983001,0.802516958554883,0.6917414330980494,0.6664180144576328,0.6714927840196692,0.5901177639499559,0.5237244829314995,0.5788766653074437,0.5516101119545698,0.5524412941627616,0.5793456356559183,0.5798037573892317,0.6287237712714275,0.7756095801677302,0.8400306433079116,0.8139427143500784,0.7466642068861141,0.7813628691667522,0.6921979466803989,0.7205672970069722,0.8877424688872296,1.2429230774904776,1.2559279132686691,0.9467330952334051,1.0621942913667068,1.159440547622614,1.0975841952236869,1.437365245840605,1.3307710638156045,1.1303728338551224,1.2710063744604925,1.507622801113014,1.2638654912435305,1.2331505656379191,1.5923322442292793,1.502778365827596,1.3091229433872866,1.321238417623522,1.038267840877965,1.213616105661521,1.281371344831044,1.1081594777962105,1.212878024032327,1.1244485556945092,1.1896561973345663,1.0608860319700189,0.9538053484724341,0.9164617078090004,0.7919101541747241,0.7158140580511855,0.6599671799680198,0.631622069458061,0.5687226441309664,0.6248374806906655,0.5793171987802838,0.753195360721647,0.5850066745177508,0.5967558957448482,0.6267613649717814,0.7169820784875843,0.8040036689200706,0.9438750331192225,0.7859518383515468,0.6679558363954113,0.8615914862968032,0.8758392197910043,0.7789338232073747,0.8321594135406729,1.0751310044876028,1.047423788565239,0.8352780471567913,1.021345354126223,1.314893146863109,1.244006748769531,1.04688051228679,0.8633534352389302,1.7798085292383399,1.336398957056866,1.0316984246487624,0.8198043553631664,0.6159219386082234,0.6663324623280363,0.902673896326034,0.6815336146488539,0.6798331168787669,0.6577317360951752,0.7054969211935986,0.9251292565130282,0.729955824773995,0.5786792586060209,0.8773065919952208,0.6261092625442493,0.6959066522962098,0.8842449233641215,0.9836362360434987,0.874010184529899,0.8250689217930046,1.6042234406484672,2.073701469524444,1.953370771470882,1.8928850421491805,2.6965151431358616,2.742174020068422,4.057027016148143],[0.7081276099188013,0.760438832777426,1.0187717830992735,0.7102747139112033,0.7056130109471773,0.4776607355717335,0.44382774102482275,0.4779739179036692,0.45912963982235794,0.5041768516649686,0.5577141329737337,0.5710043019244023,0.5402448669667942,0.6154504784913531,0.6765952038677747,0.596334528455934,0.6149949299525768,0.6770350762624259,0.8136256195329398,0.7695845338199647,0.9359335601355427,0.9318957873010849,1.198041712879535,1.244383972544964,1.0081102745586832,0.8882798596398492,0.8065004325619517,0.6455717600975126,0.6309296487553815,0.6131690930179154,0.6563950207516137,0.6209540264001316,0.610232770376407,0.6684436894467921,0.6828335312404555,0.6987653813316412,0.64263309239012,0.7361874091240395,0.7322171529691485,0.8741266747838551,0.8424235656949334,0.8501519590780524,1.084760978772867,1.2218374645854013,1.7326872737461199,1.827120502150676,2.4007046193985198,1.7220233290887204,1.350761185652818,1.7651535708581678,1.7171928380550745,1.4849395475661482,1.3923097239265416,1.186907527143981,1.4547238793414186,1.2031118231753442,1.0997046904516077,1.2984789650888247,1.0511778573794832,1.3914447537393264,1.1212374611544262,0.9892508583861133,0.8751710732676448,0.9837532834367485,0.9571960709229954,0.8921087792979492,0.9846486149489061,0.7585095886224694,0.8792124611088835,0.8929815300148779,1.0748454170420507,1.3970798004405103,0.9867114825185282,1.1163626070277681,0.801614337566212,1.0977325247416032,0.7938703147205209,0.7840372875529478,0.8364887391076756,0.9612467725337158,0.769588824143142,0.8584843620584139,0.918087078356743,1.0886724245990314,0.9885593962558354,0.777772917964279,0.7575613515271088,0.7722739923545217,0.7551448061301606,0.738293951070689,0.7272634508765293,0.9327073413945696,0.8264519962135959,0.6845190091744289,0.6594136244885355,0.7570988785024478,0.9393048426700109,0.6209411855135565,0.5474834294788145,0.5549630430176434,0.5696539134850848,0.6066624497506726,0.6241801776011127,0.6336936432806758,0.7321993210798838,0.7175108475891507,0.8577292141562078,0.8893373796500218,0.7405510558766564,0.7634990796503366,0.6680021231779687,0.5622378218014991,0.47540223359831174,0.4937046651532482,0.5473001298821146,0.5940404951367076,0.6249970795917484,0.6685886961010933,0.8078848702508231,0.695761993210714,0.7465867643317745,0.7013789221814063,0.6697714324355774,0.5763768653838514,0.5013124710966523,0.4724490216837649,0.5531926367836882,0.6359370154416231,0.6521209584119169,0.7322664277697359,0.7826841256586242,0.8778942000567014,0.9305746368432759,0.8514802439099168,0.8432950341214795,0.647800162416997,0.8094286422072285,0.5982686943521616,0.48201161401113224,0.5834598944132492,0.6628656233695277,1.012186807534514,0.761686747894508,0.6427800563858034,0.6881373499169969,0.6421568402880783,0.6015374887584938,0.5702190882178121,0.5251431197400895,0.5183457223584813,0.51849328221365,0.4759209963732373,0.6052418858927261,0.7714976480840744,0.7149964316331376,0.519854487644017,0.5164199814090547,0.5035445049244044,0.5379880953428093,0.6213003123866699,0.6459674806417467,0.654435366631139,0.6813024503508692,0.7713107684282853,1.041439402069326,0.9499295029679975,1.2452217245538533,1.6055302218176102,1.339914247168293,0.9496250324697463,0.9163006394259954,0.7428238403034454,0.8079815568860973,0.7722462558286426,0.7362707031011428,0.6878312491511156,0.6774965921381282,0.7529457672367813,0.8353492289858966,0.8172858971052896,0.9584377103849487,0.7862970196976969,0.973946016208556,1.1072006367535643,1.0393843619657073,1.2076558949598535,1.1274674620223046,1.372012311875257,1.49668136833878,1.5622238222569882,1.7866151091908151,1.3939712525332164,1.3923624149831404,1.2949638474549627,1.1784304770552432,1.2147957639698415,1.125264999126492,1.066266435114021,0.9828806862106532,0.9425199540781846,0.9048045383509342,0.7874243865713527,0.6817720708242501,0.6745550122154561,0.6731043358012088,0.6013690805249481,0.5507684860346317,0.6036174808304859,0.5672304399951532,0.5798817954293526,0.606973564285281,0.6097918552231775,0.6551466925803378,0.8158776872347507,0.8621294744947346,0.8328341972018626,0.7768256824013495,0.8054924873821586,0.7191464394268028,0.7497990594468069,0.911946268625146,1.3000024799643999,1.2590448960851162,0.9677751118102159,1.0752689859655689,1.1651313112514385,1.0839973603062152,1.4231245398380095,1.339760560445628,1.1404483296687424,1.266403465395427,1.519105204645345,1.2955807537363655,1.2383432515414148,1.570955490815601,1.5454877599127204,1.3496271059136453,1.3289460788618706,1.0418478574149526,1.1715829262768436,1.2419350593104135,1.06793157945514,1.161351140702194,1.088366309393645,1.1562844997086406,1.0365824987248402,0.9314462764729977,0.8860944980309696,0.7771322192046775,0.7093121034383321,0.6542764468602396,0.631031875498042,0.5779584911133699,0.6372565377281215,0.5977791372634937,0.7607533111670602,0.605382529311863,0.6180410404371122,0.645557331011292,0.7206582054753787,0.7978654090628315,0.9337124176854497,0.7962574841438073,0.6836986272464447,0.8651588851512843,0.9003263602942887,0.8087981795815034,0.8469172146682472,1.1017733081776286,1.0784141048536335,0.860325331629165,1.0464714773498827,1.3208251871000696,1.2683693989107596,1.0562632426443035,0.866624575982709,1.7791424008756722,1.3229503920589072,1.0516921250838076,0.8481908626545988,0.6451096560506361,0.7101149033475024,0.9407280959672923,0.7095432636683934,0.6894124971316119,0.6560772285085394,0.7126543086239155,0.9292833693366563,0.7332878833872062,0.5740996133323023,0.8708605691058561,0.6096295182877166,0.6800302191146675,0.8541068070400777,1.0071557585822453,0.885406066807689,0.8286494301522493,1.6234301269047242,2.078669210939756,1.9949461647525037,1.9097800653040047,2.6859621958958964,2.6877494483881197,3.9463116832294576],[0.6576610264866363,0.711466799510848,0.9498233643972069,0.6568436706939926,0.6384376966395301,0.4202814149437266,0.39507472901596397,0.42925269800576776,0.4451406646385707,0.47314243445030985,0.5252890807653078,0.5296644211543861,0.5057534404586435,0.5795079156600013,0.6505862106672585,0.560902569252912,0.5874607880916194,0.6588962498828307,0.811284809871373,0.7773816612946476,0.9514560401752779,0.9650699576893407,1.220470430081472,1.260739298323466,1.0283493670214168,0.9047005170778427,0.8536588593759117,0.6453673774487508,0.6210676282911755,0.5898715126089918,0.6396471824517419,0.5891735987308228,0.5800055407664179,0.6537389999791003,0.6684616447518773,0.6908726804724244,0.6276388049283439,0.7353171874627613,0.7520675786468354,0.8943317853185507,0.8751164286676238,0.8988679498142315,1.146331326578549,1.2841909247316823,1.8074106563199341,1.8868069150159037,2.4498884101090894,1.7868310728023542,1.389824130597871,1.8156760675397254,1.7429892381603114,1.5216586462278288,1.4424217605933036,1.206503695947003,1.4630558487740641,1.232434716220272,1.127450412581573,1.3520022808157635,1.0888093833327026,1.403450417994381,1.1395441605393555,1.0080620464327337,0.8826261716302142,0.9976309917516206,0.9890516650555846,0.8981943939511051,0.9700252407504225,0.7574660455450668,0.8645213708844004,0.8716453976105825,1.0309721761459627,1.3588767498673942,0.9730191777624503,1.12022538309934,0.7956560293520683,1.1569577219572758,0.8048233662765502,0.7844065102121541,0.8211631451767031,0.9585225130456508,0.7755061717715255,0.8607180910611769,0.9209792283249392,1.0774391858424714,1.00097066210305,0.7744401979224371,0.7708054641328113,0.7751610825228352,0.7612893253647384,0.7359405820993095,0.723843713661195,0.9419546321581125,0.8274813477506191,0.6757114061404511,0.6399297838692373,0.7498016464286127,0.919964415041942,0.596185695281072,0.5153726318375376,0.5185424878609076,0.5409628620050743,0.5598147889949017,0.5988338965527409,0.58088766109789,0.6861666262190063,0.6582116118800257,0.7802061886764975,0.821070379050448,0.6590885375926241,0.7160118634797811,0.6132304161172384,0.5120842785128485,0.4291742113821172,0.4657099855219135,0.5143949634764434,0.5664863338634137,0.6074273390128017,0.6567459675151832,0.820957290589483,0.6881049790513543,0.7299448222057882,0.6716987110248223,0.6351472616791066,0.5400839038419273,0.44377719965060036,0.4437109900827067,0.5292924680961203,0.5977025440190338,0.5922624845922063,0.6827724417109372,0.7313854693815454,0.8112526987271718,0.8772872707656706,0.801503535528212,0.8028781434018534,0.6264476194065054,0.7796635834932298,0.585299730113585,0.4850436946369902,0.5859431562320009,0.6753795377298031,1.0365183297021812,0.7811221883544958,0.6549278263316713,0.7056475210318409,0.6477375321577501,0.5977288197490384,0.5588098242339214,0.4943430270117436,0.48526013037001475,0.4747462613295529,0.45043946602015067,0.5496517268686271,0.7961122685418432,0.7403583652435861,0.4863282175174204,0.48160664077832394,0.4570778335882848,0.4994808294034623,0.5669906792297034,0.6262414169460742,0.6402400659146749,0.6796479010819069,0.7719075668943899,1.04141784913179,0.9516217977165087,1.2325995279349875,1.611728649640849,1.323134355517663,0.962059317859584,0.9007855524030207,0.7394182248723954,0.7976182631734439,0.7565780932588281,0.7183220284992792,0.6575104048225486,0.6554643997762345,0.7179743942152321,0.809259882137723,0.7861353729554491,0.9426377026011216,0.748349722316483,0.9395284076447857,1.0786967459645989,1.020490514741191,1.2175455213192203,1.1559950107675936,1.3980566738728883,1.5440901806160816,1.585082441528621,1.7926424570235788,1.3956101730088526,1.375631827316299,1.2660430996006315,1.134348172436254,1.1702174328420274,1.1115866078529468,1.038311850869171,0.9508407752133607,0.9182350583152232,0.8541324183355224,0.7254371427409344,0.6293140378421929,0.6257084099524036,0.6156449898699482,0.549801190381845,0.5080815555326252,0.5727492420730869,0.5231804987408372,0.578978084988856,0.6078371852642735,0.618718450072441,0.6805655682148566,0.8473609446744252,0.8956941032970861,0.865304728009108,0.7902860339600148,0.7952883245061979,0.699776122997822,0.7253128478797815,0.8931290216996783,1.3250071334935503,1.2294016526633644,0.9566784774224794,1.0422938134094601,1.1160227585686961,1.0311642530153464,1.3660383316858442,1.3092060595928865,1.0992104233538558,1.2108013173981496,1.4864025030345358,1.2823906284155313,1.203571807287208,1.5394757672947748,1.5571223735344002,1.33332402730206,1.3140705048056984,1.0106450783016199,1.136323638155527,1.1873380246912395,1.0086239999870803,1.079950122274045,1.0049611340307103,1.0707683636273158,0.9578572461693882,0.85111906504995,0.7925986987425923,0.6975454442402683,0.6392753961887411,0.5846620382642048,0.5799681371804012,0.5320563020898179,0.583360232344079,0.5673017352252553,0.7801109634161196,0.6037352068648918,0.5948246844664457,0.5988163863711644,0.6649660898193851,0.7274784226005995,0.8716205876205416,0.7552992952191391,0.6347363013101656,0.8158436522878953,0.8737578068181525,0.7876635813150789,0.8123896874815683,1.0932927885798553,1.0891153732637213,0.8451780554023133,1.0436071434157004,1.3319691910920104,1.2900425001935907,1.0434310652755114,0.8288452440380372,1.7369589722749594,1.2425756348364527,1.0369238457095202,0.8516395000301183,0.6411410078843794,0.7341713576229396,0.9607969213437315,0.6896506632816025,0.6677401184634499,0.6296223043845027,0.6721677178755048,0.8126779355757923,0.6995326970684596,0.5141590068081772,0.8729090821354654,0.5580443382726163,0.6012652160761919,0.7780152428279754,1.0277624517585056,0.9111428287803175,0.8971741750112435,1.7186036543636558,2.1523109968255083,2.150214670302656,2.048563302974305,2.86203617207415,2.8132487214987143,4.021468922253207],[0.6642923282510645,0.7096846164697906,0.9069812431930049,0.640728396644675,0.6268741053032598,0.43317321549032667,0.40646730938206,0.44032839839501337,0.44815293358715697,0.4684158503194943,0.5007133490330886,0.5235437491931417,0.4994659906032674,0.5467735447088151,0.6018167513965466,0.5338941285462764,0.5839534411753354,0.6356191942974396,0.7806789458472507,0.7542873631767185,0.9145492993194541,0.9563607156802749,1.1815099491240793,1.2251266509475904,1.0238181896047578,0.8963706624367517,0.8779715867881402,0.6437151068220736,0.615560560578297,0.57731701791132,0.6171384804665205,0.5639370718761937,0.553327209100185,0.6201080897709935,0.638149433112508,0.661536401157577,0.6125911840300229,0.7165806654685446,0.7516466302705453,0.8809317236750814,0.8727423672666895,0.9130092901855706,1.1615361795471046,1.322061193247937,1.8536806062007778,1.965849140948184,2.4563640736521983,1.7930670872884567,1.4328999113121645,1.8141417379083573,1.6915602796035683,1.512569434772963,1.4310767355664384,1.1798566387799843,1.4056236767197101,1.1991834009529103,1.1094692737229865,1.3681571646480328,1.0861492102911046,1.3506112251918532,1.114791088966506,0.9789378679894568,0.8387994687014936,0.9558490945239635,0.9731790559380132,0.8623662861492439,0.9123407380718859,0.7180918306187986,0.8291685486786677,0.8296035286790291,0.9517756852100073,1.2752238210542788,0.9056398561742173,1.0872368746007413,0.7507287957299004,1.1956050923172339,0.7780635537628307,0.7455093636818341,0.7781595150421069,0.906521409227405,0.7607215220666137,0.8453018099074786,0.9159702178559941,1.0347618381803403,0.9905469845329384,0.7592588574928082,0.7599461499116862,0.7685488864174533,0.7359656155843367,0.7049939787358592,0.6905858703645723,0.9229225176882798,0.7996461080266618,0.6435647685640438,0.5995773239690098,0.6961921730980111,0.8460948541295322,0.5632618949857104,0.49422634680260247,0.5155212780954197,0.5285725708551419,0.5768332661254956,0.5896151719325119,0.5693253141850403,0.668088775109087,0.6542721772155665,0.7416524722889483,0.7756442460393694,0.6103776063030044,0.7109443933665839,0.6133385399339282,0.5211025879955354,0.4458822450643145,0.4834058018270431,0.5177675396148399,0.5652536166450983,0.5964236455068886,0.653169602852044,0.8113459439165621,0.6679859241744919,0.7027697741413383,0.6435795498963879,0.6161557722471764,0.5367570361348942,0.4432653972101422,0.4655034205203706,0.5519527747766501,0.5896591297357202,0.5753922787247164,0.647040364932344,0.6646326057237778,0.7339992273540215,0.8078850009764954,0.7454471313686236,0.7591989040218883,0.6382394145098906,0.7817008133746551,0.6153250468583039,0.5205203304950576,0.5913846122320072,0.7102785973246963,1.0514800348300763,0.78163342052489,0.6647371386917973,0.7129869234642812,0.6487821076331264,0.6009554041134546,0.5543020339839242,0.49790634226649466,0.49762679950560124,0.49787709218555787,0.4863763265172651,0.5722994842852901,0.8737342758553657,0.7957876121223701,0.5004981117608024,0.4817392379071353,0.473560625916453,0.4947953428419609,0.5521628668759199,0.6323471160520366,0.6304042219438278,0.6811139859406442,0.7694287116472813,1.006310309986503,0.9460148635597995,1.1960620174726087,1.5988138622023487,1.305331866325451,0.9962309696768423,0.8919219775696134,0.7526474579937398,0.7880168957445621,0.7425471821652992,0.7026489014966775,0.6411507343850538,0.6485239483577658,0.6943800129745447,0.7749994855670331,0.7457544957473887,0.9189373576781562,0.7241913658184337,0.8884745412549959,1.006305661461383,0.9759003358583898,1.1803979619107845,1.145877154340406,1.3709083711150727,1.583916314024597,1.542732174448998,1.723548926790753,1.3667759178460044,1.3016743738888563,1.2013060383042375,1.0387451941679409,1.0709743137851675,1.0051885040100927,0.9369123079308811,0.8682179983176403,0.8503817142060242,0.7581842050381438,0.6459390411290722,0.5852020573964886,0.5788115370071522,0.5548016634937359,0.5409247635489862,0.5324757128696626,0.578752881035178,0.5280279930495828,0.6433453003539708,0.6681466647036273,0.6828695204135335,0.770940890526737,0.93464346120321,0.9800470701564915,0.9250641471444864,0.8500066113402686,0.8058165089391085,0.7123921436702643,0.7266823915842281,0.8465792328230675,1.3210376934362487,1.1479637534999756,0.9236837614909952,0.9470690060297543,0.9926476467262652,0.9182994709440792,1.2033135213630894,1.188495826324478,0.9831747406295609,1.0722160229458644,1.3590236193369827,1.199853414151671,1.0826951507437788,1.3738031966134039,1.4832087410330956,1.2616804567341042,1.2034385205469686,0.9144962479869739,1.0168390389696136,1.0411123579296335,0.8876683056617322,0.9411957835578992,0.8620162921094343,0.9533269912527302,0.8397011484927399,0.7320293024294707,0.6799551673299675,0.6345395488975757,0.5805568859181415,0.5520972479316721,0.5950434228465374,0.5600811313025387,0.5669481646484902,0.6167359418226873,0.8771801759011723,0.6604909110163345,0.6239539934779276,0.5958274663610635,0.6100553732627022,0.6356663140415787,0.7501981814074501,0.6946804846422506,0.599372075967719,0.713916099269765,0.7978213273658349,0.7381220270520509,0.7424381600075359,1.0170948396318438,1.062384132479614,0.8126523718132663,0.9857971085052714,1.2616854123592032,1.2805306557908915,1.0266259489245224,0.8133871851187411,1.688628329511,1.2103729886484373,1.0093768225004112,0.8844123300930425,0.6843250725913004,0.8107717000857658,1.006597833945174,0.7200051566758442,0.6824275875086413,0.6601806692031108,0.6643270366263778,0.7601012312873557,0.6566931713037382,0.520419302037861,0.8591084125533666,0.5776872241788006,0.5774299953791084,0.7495127005847305,1.0765712368440001,0.9724757807463879,1.0150597773329033,1.8138920056426333,2.233966802867942,2.295280167174622,2.1947056817059396,3.045559493829952,2.9686768747264036,4.125150326947834],[0.6715169639452322,0.7311860074249761,0.9151855648403989,0.6680538590467926,0.6247579521857735,0.46584825965051835,0.42861374421153114,0.4568638037112223,0.46789528056988006,0.47441274530361643,0.5077589413179925,0.5358298020304167,0.4865229643170267,0.541515901759275,0.5902864123103231,0.5193638991731858,0.5657928635397739,0.623006815755816,0.779371716378955,0.7382286788930406,0.9048584954526914,0.9377771745185465,1.1808835614248316,1.2235961627156497,1.0033855663240654,0.8771019206006052,0.8391889077055668,0.6171465555507337,0.5875376227789164,0.5461029160438328,0.6061938781625258,0.5411267930822351,0.5384357784038812,0.6016926858006191,0.6168504587926652,0.639782031353349,0.5793745593732635,0.6827928772615687,0.6984931251602678,0.8250853153568557,0.8197993360970066,0.8718797648637571,1.115853135967794,1.2667897936902353,1.8036967204524732,1.8974970762259287,2.4350235592790033,1.7487805496344668,1.3654579539352487,1.756448408180098,1.6671155617811149,1.4611898939806927,1.3764846522392495,1.1334436486302606,1.3800711508079828,1.1759439203357893,1.0877154590535607,1.3232156129899788,1.0622286835955421,1.3709694029644262,1.1140913579260854,0.9747150476890885,0.8313499846309249,0.9614458720050802,0.9738242020011403,0.8531605032384634,0.9128316240439337,0.7175226772091189,0.8327655233085157,0.8347598137618558,0.9554177592458862,1.2862625253570412,0.9145676617690939,1.085329937796456,0.7584784437689549,1.2013800856507253,0.7686485879817263,0.7358839714531783,0.7608700462650327,0.8947672629001852,0.7221816561656835,0.7983537425264393,0.8646246397543963,0.9751889330699816,0.9204820024762471,0.7118830692812431,0.7166571820871295,0.7336866914087717,0.7108857058261623,0.6867010343328176,0.6832635086977801,0.9137517482591551,0.7864341254988071,0.631449754137191,0.5843506831015358,0.6852303572443972,0.8177147651045605,0.5451814376466706,0.48698343824122664,0.5235008068515851,0.5059253446452339,0.5856186199712187,0.5577531662338983,0.546879190264511,0.6204494650671039,0.6055526096114168,0.7179319055850436,0.7626040885206983,0.597603890888045,0.6980827405678957,0.6170883156873325,0.4944144674983726,0.44995978598082836,0.4670337672691401,0.5045525539542747,0.543930458522683,0.5832322898085639,0.63893547529443,0.8050995898157938,0.6633483191602144,0.7030966133993501,0.6436711681831454,0.6159812277164152,0.5347950773418544,0.45239608463388836,0.44294329868232485,0.5566809216614729,0.5663836612374341,0.5512867022572019,0.6157947964960374,0.6648081993417508,0.7317696119446713,0.7706587219572932,0.7004715412711862,0.7076594112709085,0.5915978459962684,0.7280279218611081,0.5686970746332913,0.47895767052770283,0.5467149904054199,0.6635494545857851,1.019947947866588,0.7534417349217752,0.6218949385324035,0.664610749760149,0.6041885642495182,0.5598145782965567,0.5166979584937661,0.46653567081608294,0.4960486537733672,0.5097330343816754,0.49214890918114185,0.5775582581310034,0.8814303161188843,0.787729653375542,0.4970810298380045,0.47439276763214433,0.47405414285488323,0.47261489310223664,0.5208171591032372,0.5718907851271537,0.5808307129248711,0.6279311661046202,0.706599989845696,0.9507496656784883,0.9076077790358008,1.1361462838637562,1.5127464959015622,1.236619415686842,0.9114113153291707,0.8158937598973671,0.679850196172632,0.7140257342761814,0.6762647769430499,0.6431977445915102,0.5836730953239572,0.5992181533178711,0.6418074312090049,0.7229114941619399,0.690783783881412,0.8537431821676286,0.6648314799675908,0.8296739392826374,0.9539730516992324,0.9140568912789759,1.110580910468688,1.0804416654017197,1.3141521494359873,1.4937743210822236,1.4926987622415635,1.696391779957918,1.2967657888059858,1.2738839017484382,1.1697978945042065,1.0260256517048072,1.092712172191194,1.0414155765498099,0.9770935510619008,0.9086457452575266,0.8775748208843285,0.8143955673669705,0.6845058543619331,0.612826106146764,0.6411033431932557,0.629756128029409,0.5951643373757005,0.5941586947129097,0.6596261121557655,0.5998966286877528,0.6978596363882551,0.7238755427153281,0.7476827904865524,0.8147237056271857,1.0000388926060044,1.0349898621993188,0.9897460617229836,0.9181762214526198,0.9052896307910495,0.8097734040175499,0.8421403364108005,0.9732449355201906,1.5039053408518648,1.2668659823387003,1.0517337591282823,1.0963297637192686,1.1316359511995882,1.0174413344718585,1.33347375126209,1.334763048142802,1.1046009513243737,1.168525551886638,1.4778205588459263,1.3182779540912868,1.1782057802669532,1.4940180361097637,1.6117606954723072,1.3504300533767437,1.265377097594761,0.9800607868019429,1.0517634004570204,1.089979732501569,0.9346802008861619,0.9655172281508153,0.8960372993421449,0.9628909720675213,0.8743103353557558,0.7908284408063098,0.7106116881628717,0.6623721224672803,0.6356015349359453,0.6076349594935222,0.628885776087096,0.5969846687421169,0.6379649037569268,0.6633846276436602,0.8799184442813854,0.7173475919665963,0.7082892947806958,0.6902615947261709,0.7281693723864052,0.7531363523345238,0.8766246096239082,0.8258165673414046,0.7036528490612204,0.8454340340534314,0.9396904505743777,0.8698546848670501,0.853217602312007,1.16736415788877,1.1858232859063962,0.9262936035261795,1.1160073814154832,1.4072649090459797,1.3919902296628803,1.1284295940732951,0.9020539175161114,1.72943617396454,1.2170132453697617,1.1097115581681207,0.962343635021467,0.7617262692627382,0.8679109165212987,1.063250234448571,0.7862163990349489,0.7504913806895301,0.6766148172165728,0.7243977049945649,0.7712315124796901,0.6896375252224238,0.5339506166094995,0.827821569580119,0.5763268073446395,0.5890956063684449,0.7334858327648545,1.0763632923996485,0.9747475983635339,1.0040230082782664,1.8024202378569625,2.1928525489324735,2.3038299771915187,2.1934741617706415,3.015372683882879,2.9365230239520126,4.0394665093769015],[0.6782222582165864,0.7339261463281077,0.9324032746872404,0.6687749581888816,0.6154874011591348,0.41652601086957264,0.3705648438133261,0.4122893061256127,0.4082953210023001,0.43144260240455146,0.4674948360160466,0.48897829614474514,0.47025845008569067,0.521386982380266,0.5905787383459137,0.5220307533485845,0.5594567776535128,0.6325135755876757,0.7873952392798252,0.7335202532556871,0.9215121688623779,0.9277997031054418,1.2096046858156582,1.2578719018341198,1.0061555244420646,0.8766422998651969,0.7834095437193226,0.6139380950187091,0.5914219863363207,0.5508405198148009,0.5982711090469787,0.5439694407566754,0.5331758987390314,0.5985198796392199,0.6148020680416383,0.6424684045691949,0.5907834740378662,0.6920995988255875,0.6903822084845755,0.8315030454508012,0.8056687762774712,0.8259885931037895,1.066672659456016,1.2032262455423237,1.7233682585156853,1.8101483975538974,2.390054364370707,1.6940332771143731,1.3121653481464275,1.722335698259996,1.692366485649932,1.4499369460835605,1.3486680009224126,1.132693794549247,1.4020394050215172,1.1995339256443551,1.1040510372130077,1.2783238650842366,1.0607030497565741,1.420239305560167,1.1453357576006784,1.0054099091025448,0.8532151412418123,0.980121766937114,0.9765514526285556,0.8645135180909427,0.9455911350839861,0.7147467847257981,0.83778398863486,0.8326431273720497,0.9977725986456645,1.3214334457325478,0.926016112300433,1.0918198162908006,0.7513701682108819,1.117730672302344,0.7642603878547065,0.7404799917195253,0.7834932546895772,0.9155418191892758,0.7264359232699975,0.8126466874989197,0.8700976373231953,0.9948961762894429,0.9101017651380545,0.7294013435131179,0.716571641677621,0.7301669459791665,0.7143008616446374,0.6820612998284257,0.678432550270331,0.9072280179942557,0.7751428882042535,0.6120431323101692,0.5799352794246568,0.6810507505169867,0.8557236023691632,0.5371762806157965,0.4632823515051941,0.47225022534632033,0.5038310627461219,0.5607104072152722,0.5571900986875961,0.5693473816254637,0.6735768234552076,0.6521902065005569,0.7773007772568815,0.8360747139656008,0.6692281760905088,0.7014082854196492,0.6288027095988602,0.5017613764355661,0.42526244344592057,0.4511182042884115,0.5042344347880305,0.5598182607724944,0.5840941136524141,0.641169546054845,0.8040763682958939,0.6563545957982718,0.6983375738360018,0.6464493840488315,0.6193390401344891,0.5110867485714787,0.41329574070276637,0.42143933907770137,0.5255557481040618,0.5694290483857056,0.5848781538898106,0.6653479888536484,0.7341471033128291,0.8292404201159284,0.8592957501842765,0.786933646827837,0.7790079493257676,0.6028653461364305,0.7372588828736765,0.5538319975612912,0.45420267280087173,0.558818492290765,0.6547534334507856,1.00497120056384,0.7383151111056938,0.6116914108614682,0.6557171418948465,0.6052423275594879,0.5664114813871847,0.5215359144477015,0.46558966067077234,0.46471847621934065,0.4754678069732347,0.42620587227818174,0.5502277839877933,0.8098627443420104,0.6899703635920766,0.4543152243671777,0.44699622271179457,0.4606096175293144,0.479995697239429,0.5564609763469248,0.588234644860631,0.5975654363509006,0.6384208241620634,0.7154015756526236,0.9732055320897492,0.920912630001782,1.1550576651209732,1.4815147106230295,1.2393075521907448,0.881827505982832,0.8403876495538382,0.6861262323304099,0.7364015996416184,0.7028495178032033,0.6738534646157408,0.6251644666581544,0.6097161611590031,0.6861024651961489,0.7703829496901057,0.7479099363053233,0.8830113990586477,0.7175747119207913,0.8873293480242461,1.02846860160847,0.9638070570036771,1.1284536074740183,1.0712058208483655,1.315419051271579,1.4349564613018,1.4943814454106057,1.7216604127163948,1.3158924417943314,1.3305514669917988,1.2302450390966468,1.1161629970554185,1.1967864890940738,1.1314144217483655,1.0563724960939878,0.9701500252700838,0.928203202405375,0.9027002196810361,0.7637707695054645,0.6564588202069827,0.6790009163028133,0.6763109219791574,0.6017917899412437,0.5616403960204185,0.6399738279177927,0.5899199443614221,0.6158585511821555,0.6385549026307096,0.6567888382699454,0.6958917031663693,0.8702001333095302,0.8836721105056407,0.8708137019236476,0.8236862306715544,0.8567898652831558,0.7620834718192406,0.8003771563656772,0.9749824603178546,1.436040502352783,1.3185537141433583,1.0673974000397861,1.1453946956070193,1.2079970756027103,1.1060572242773201,1.4542148761618243,1.4026847845190988,1.1725753604652291,1.272190350568668,1.5613590766478238,1.3594162705469504,1.2558497091852108,1.5926926297244648,1.6419997347462125,1.3844321063910547,1.338685657966675,1.0429705379998944,1.149727374675678,1.2080851387886904,1.0401064856682476,1.0934459641801717,1.0322258939645879,1.0890586770594624,0.9877766325397126,0.9006345223610965,0.8251737109799373,0.7298230647810914,0.6970444288535083,0.6510614068852647,0.6183765607661814,0.5796264544352389,0.6538591684080588,0.6249921497642702,0.7825683172911405,0.66451548111918,0.6768593609388299,0.6811353037160427,0.7627794996342865,0.8108676639402863,0.9572662611943416,0.8542833359295997,0.7217187716562677,0.9046780715769515,0.9684459848904098,0.8819258424772988,0.8869939464946195,1.1829134163914161,1.1593071998348485,0.912526715443692,1.1118279719282895,1.4198975944493921,1.3499064950757738,1.087309006861172,0.8715886292377301,1.7580113647402251,1.2248261566464738,1.082102503426405,0.8790690955719823,0.6811092690590604,0.755258851223156,0.9746378095872806,0.7355150607980945,0.6855316291891898,0.6170299123812332,0.7214378039654459,0.8397793592924914,0.7223945676694769,0.5395802929506187,0.8445594469187138,0.5698635212714953,0.6211854158114811,0.81719329336129,1.0488607420144744,0.9187339627436489,0.8824270429567382,1.6936772835062324,2.0938570239264522,2.1289831795694636,2.012880061400012,2.760467687867556,2.7013996338336836,3.861491216847773],[0.6734903527597669,0.7256834080630027,0.9353724881781232,0.663788276335578,0.6088458902215944,0.41767074661468695,0.35576247221656143,0.393110245840688,0.38362939424052217,0.394493119387959,0.41843293833120804,0.45030984653078976,0.4227277380496418,0.46067334156954226,0.5206776579837811,0.4589082351737532,0.4953556137159034,0.5333097408622834,0.6708898202274426,0.6109032365131261,0.7778232256427785,0.7781329662493154,1.0464209936044457,1.0949342731208493,0.8918636344152127,0.7530602691301599,0.6707283446700223,0.5095071031808814,0.4948424333768176,0.46780432013629764,0.5102460291280959,0.47480523634367733,0.4608412803729887,0.5061922695515754,0.5207383875771344,0.5359447607766008,0.49874910401715017,0.5807068753415661,0.5747901665569329,0.7145542053117817,0.6817475545689333,0.7056518353229034,0.9254209653956363,1.0958556368847605,1.6344244180007397,1.8001002521662077,2.290411887156336,1.5537838668982051,1.2359515403547705,1.5936098006039405,1.5169033678904273,1.2935842481179953,1.2080364248253657,1.0051192378088005,1.2737043224067206,1.0262249368161618,0.9544728920790798,1.1609254478679518,0.9226184302213541,1.2682380977873828,0.9939604626099025,0.8601773405180094,0.7161416948257668,0.8274490418816447,0.8418353360596406,0.7360946679411007,0.8109624597342121,0.5975373257166636,0.743239120931248,0.7422096318852662,0.9100860389280064,1.2180865215466805,0.8199910536240266,0.9992679752718795,0.6499927482650316,1.0578560956185108,0.6481499000686606,0.6104695185120399,0.6498524094926549,0.7741664497383483,0.6115576871185044,0.701228935665405,0.8001576470609509,0.8914789151882276,0.8178877396444569,0.6255517734128943,0.6003027491644668,0.6313764998103925,0.5920147844623551,0.5816772948366182,0.5731028461846763,0.8097054074133804,0.6832083067150548,0.5179364989070112,0.5002296415296935,0.6017470921198889,0.7913269357519243,0.47918587145153396,0.42142918398346846,0.45680604073844683,0.45678086373827403,0.5408605099088614,0.501441871064526,0.5217191271684887,0.6093540725486805,0.6031743573217387,0.730013957019464,0.7838530432912288,0.619303658260177,0.6856236574570718,0.6081863571888106,0.4698422053113979,0.4012573604087067,0.4188508735450522,0.45551201679136005,0.5020984471187654,0.505830028036816,0.565396728703265,0.6976846174942138,0.5619775271409012,0.611147523868048,0.5713901935110391,0.559749867248541,0.4533760386823193,0.3794832645445403,0.3914220154223557,0.5181086288680388,0.5416483499987856,0.5471952215462621,0.6122920872683499,0.6699701055771472,0.7469021238368851,0.7692211634984883,0.699657312055705,0.7008822685898076,0.5602354881441792,0.7084612736280141,0.5144028349899389,0.40087659799458136,0.48103269031632345,0.5668888522752316,0.9414948716759731,0.6302046844010217,0.5175919196904065,0.5534920221918789,0.5104116842716756,0.4872108128595165,0.46530517798869836,0.4219363477869129,0.4290354882642885,0.4561668170982944,0.4115995569604685,0.536509253268804,0.8048781367038745,0.6742007664417249,0.44099566171158644,0.42037188045361684,0.4284659472284774,0.4322701661849283,0.5106284856879088,0.5307512716786427,0.5190717650636412,0.553852098101555,0.6196473772243353,0.8753892946737292,0.8720011909687801,1.0807349737512109,1.4393573549749004,1.217498995124695,0.8856330626182634,0.7919257333707297,0.6343601449649107,0.663433456490191,0.6266742399331737,0.5962458492995274,0.5519076946617424,0.5420785366273743,0.6033372040956028,0.6782442316646092,0.6543955621565068,0.8018498269320429,0.6437604217330629,0.801190813827679,0.9249453310194421,0.8739714954407093,1.0224819997723007,0.9782934392489345,1.1984096105655235,1.3972311524024177,1.3918318702227226,1.594093061443073,1.213902746153213,1.2247232942900805,1.1466076111708134,1.0082735129379956,1.0869895495986603,1.0363009938141214,0.968849448308728,0.9009352503586266,0.8747285307184091,0.8167910312321377,0.6935214578240724,0.6060810829822668,0.620501529577694,0.6088861665451263,0.5619899903904214,0.530981786023279,0.5967115070667323,0.5410668290314888,0.5886681270985525,0.6160672408425487,0.6297138859084292,0.6716389859581722,0.8332168536818477,0.8679958458739928,0.8549594731668285,0.7901126105290213,0.8044922074581029,0.7183922033571484,0.7437556338294178,0.8819653214551982,1.3172116277617283,1.1994052129249266,0.9585934096533201,1.0236028937239503,1.0709783361644698,0.9823427840583498,1.2913356444328359,1.2643495346144844,1.0592004360770233,1.1407738992102854,1.4162156985402419,1.2495912446962256,1.1420542524627475,1.4249252045371417,1.5181869188541675,1.3046824199787952,1.2414838453109829,0.9601405660057293,1.0518009121189162,1.0860266889661094,0.9294392514475022,0.9906466485306202,0.9243215996079174,0.9987822047437341,0.9005779628331927,0.814395672369796,0.7443846707101572,0.6747821875570361,0.6338654887316861,0.5906886477046022,0.5821044657012158,0.542683939449741,0.5950165116491218,0.5830883101610828,0.7732522358224745,0.6236800801196088,0.617286485007775,0.6191412595034451,0.6824680802972372,0.7296657284498937,0.8498767031694552,0.7619692984304339,0.6526107559612933,0.8057170571947185,0.8630124263810242,0.7934739014496617,0.8057733496958263,1.067515121038849,1.0761592220500868,0.8471009888524221,1.0354879421412362,1.2942251782610557,1.2773412764605954,1.0454213259897729,0.8403878482981391,1.7377597830927014,1.259399734379602,1.0335312101397645,0.8588452823090885,0.6587701429770981,0.7310336631669178,0.9567700485612435,0.7163593180185035,0.6770989420396163,0.6261741041060541,0.6814312530145862,0.8087962510882936,0.6771049747288928,0.5147805917977747,0.8280425526192485,0.5396582522831688,0.5829751321814809,0.7628127643654272,1.018510209933808,0.8925080551630641,0.8611870149008317,1.6762621032910558,2.0733962011690172,2.1057727672666684,1.99134191910919,2.7499032624690067,2.701698224943695,3.871518138633039],[0.6638300282108555,0.715242644233388,0.8744818468536092,0.6657420172619548,0.5811553484580986,0.42320630217723276,0.3646362918625433,0.3820088160269,0.3930692525475873,0.3907394162408493,0.4083511505172527,0.43509825557431114,0.4213073463599112,0.4571948451914517,0.5105462826201741,0.4552174001883173,0.491754197627055,0.5396239832328635,0.6688178324463053,0.63460101840224,0.806564593000166,0.817026846898209,1.0735244021831887,1.128476327533329,0.9225463822243781,0.7890909966046861,0.7055684657773175,0.5170443525908255,0.49794968775107784,0.45237203471986376,0.5237629730086278,0.467940261906645,0.4508200129571899,0.5022837297196073,0.5216047997790043,0.5422964507043114,0.48517029584726873,0.5706799988406978,0.5788409871254637,0.7011273175910181,0.6872738714590919,0.742917531060491,0.9562740378787897,1.1292064266822879,1.6753185249193596,1.8310178147763383,2.3088669082466238,1.577718169947948,1.239764630450849,1.604023272010743,1.504587432554145,1.2946720888989116,1.199751491676951,0.986984756579071,1.2506619830301717,1.014137969845375,0.9443385041770525,1.1691227215139597,0.9246001720624268,1.2612206533933028,0.9972171045387133,0.8636665433483381,0.7296602679219806,0.8566193989509632,0.8467007320344846,0.7546128934980652,0.8316282872471468,0.6180822495915419,0.7523323337445461,0.7501146728565393,0.8696667997224933,1.1864913163886592,0.8163130358896971,1.00277053919295,0.6649804168397373,1.1232843744054621,0.6652922844217907,0.6193772610536915,0.6500408374613013,0.772106060150105,0.5974054189392887,0.686346164502418,0.7807092363598703,0.8513383584050126,0.7963532432135816,0.600363964437512,0.5915393638864677,0.6253463168202501,0.5963509401636637,0.57701714819732,0.5836571042860398,0.8187615436730193,0.6888548369265663,0.5267798262936993,0.49131685812583514,0.5904777855229004,0.738761877658831,0.4630653025084506,0.418529946954018,0.48281882822534233,0.43814972000373237,0.5574553210766912,0.48471261074090805,0.48979930359645424,0.5543929007212544,0.5521096066248811,0.6729234859398759,0.7320026077379908,0.5588721154345402,0.6576336528576855,0.5786806227033124,0.4467256450711427,0.39441428111054233,0.418527891110326,0.4501353263900285,0.48797246936728583,0.5144164849098517,0.5764583317510907,0.71034706597864,0.5721200455834724,0.6169701591693411,0.5667267967902376,0.5546671733301566,0.47022743832919256,0.39453330156893684,0.3953051592957865,0.5300721743241119,0.5142580860400465,0.5038472933487744,0.5589678364260809,0.6220167498288443,0.692556298159921,0.695235919742051,0.6291179051198909,0.6322472705044261,0.5621779414464707,0.6655136692081881,0.5234674969808765,0.4235873101494645,0.488326540903303,0.5874411014590766,0.9533348956246113,0.647224247866706,0.5314366334463227,0.5632624138630417,0.5101233029554239,0.4864108960624309,0.46135873715580117,0.41273724986403454,0.4361366883626217,0.46350471712457836,0.4320628929886418,0.5371915209434146,0.8648386599986982,0.7240009386447434,0.4446076232007994,0.40626987857419394,0.42341456879859246,0.4092989593446511,0.4591517657120894,0.4994607829311467,0.4996939190704043,0.5383481245303803,0.598738302000439,0.8365698418162831,0.8531668875446744,1.0297893140580094,1.4020393540936984,1.1795614641801475,0.873304976506591,0.7420062791964347,0.615526596700211,0.6287830474091238,0.5907683384655602,0.5596122079725044,0.5058912243118106,0.5173800887884514,0.5602016426543541,0.6328554339826394,0.5953090193734035,0.7515631433068958,0.5839279892098402,0.736833560157928,0.8574992637032918,0.8147091309517086,0.9823582842394455,0.961525024388955,1.1858054566057268,1.412461013770696,1.3768343333454816,1.5737037924319242,1.1935431304545294,1.1898986317219686,1.1002075898545192,0.947017149947778,1.0274834115533193,0.9979696275960702,0.9360173749452869,0.8698969089346171,0.841174815266307,0.7878376283892496,0.6509005665473108,0.5768946649901259,0.6178286670568262,0.6078359060433176,0.5702486964234088,0.565798806730003,0.6300025487645184,0.5789980145919649,0.6563097405153657,0.6792921097024218,0.7071973863507981,0.7649167700682757,0.9398130174039137,0.9683403418058238,0.9348588437928277,0.8737097542739991,0.8688795611949812,0.7738670079064934,0.8078813518670439,0.9408902630918403,1.4488550198990369,1.2340372891696247,1.0190025812661079,1.0450317284604331,1.0823268606010326,0.9779481644221875,1.2738155918503031,1.2933511025348376,1.0563559551109605,1.1114175209348036,1.4141748083580665,1.2776113672329141,1.127782571908109,1.3935481859663523,1.5728224652700735,1.3097089027524678,1.2186533620676174,0.9462341998224008,1.0009530121401466,1.0255268383697915,0.882696751751994,0.9008596328502638,0.8483727489099585,0.8992279592801036,0.8234982986995524,0.7590072061994733,0.6736807239460472,0.6461546344943894,0.6097427023094301,0.5900592639572079,0.6133063409623603,0.5807608051590646,0.6287265005047373,0.6503003494925439,0.8596911567900871,0.6948949824741989,0.6795536747455487,0.6642914520226472,0.6990649125752905,0.7144347269089173,0.8361209922565092,0.7899414938616893,0.6729769694368218,0.8051920047497383,0.9004748895494318,0.827034856213702,0.8149887963844078,1.1131055003882988,1.148475204178452,0.8890777428729588,1.082476158883051,1.3635377193539122,1.357172992364133,1.089496646108956,0.8684156902644206,1.7158008780881604,1.1870340104968755,1.0625523004743724,0.9149689552678933,0.7174539756551446,0.8250307911183126,1.0230295336540611,0.752120484824412,0.7019567911907119,0.6205798255158966,0.6781199100329889,0.7221298764341822,0.6558568725005735,0.5041020842443507,0.8135664051383288,0.5336763237315245,0.5491824841502039,0.7172112910717604,1.072689142222699,0.950637643582333,0.9754746519373875,1.782361646704453,2.1382265139135193,2.284298516653837,2.1568709663025967,2.92754194775619,2.837329275206513,3.8953153057854717],[0.7354843805693341,0.7762242681246682,0.8988069367193571,0.7064246822390944,0.5917333314023,0.45027942785995506,0.37350568442058424,0.3976285374292586,0.38510701111113793,0.3499770001887238,0.36471027727353755,0.42160721877457835,0.3845151764079941,0.4190308907511024,0.4749069321355576,0.43012824922984655,0.4666139935398233,0.5056020064948027,0.652545706957672,0.5942704622330837,0.7718890130043436,0.7805123322301516,1.068263389608912,1.129689434052462,0.8966531256642505,0.7503162307957747,0.6436585807711472,0.48550539044434127,0.4698503747168502,0.4388887056677874,0.48373225856339763,0.4429283209135549,0.43168218035318295,0.47349629784153124,0.4924368447012897,0.5115552205268188,0.47135306226641727,0.5470451958741223,0.5437838223573818,0.695328322132778,0.6615482480242904,0.6836535979894653,0.8996268246089562,1.06827732582581,1.606377777980364,1.7552006840549692,2.2840639007945733,1.5328002536147378,1.1974889669549333,1.570129601215545,1.536913380683989,1.269211632393049,1.1777752610113528,0.9705616318402477,1.26063908112293,1.0299845209271188,0.9510741443110167,1.1125890176414033,0.9009023165539258,1.2841043615975312,1.0036676696785924,0.8632748692181068,0.7180799702014812,0.8388969895182096,0.8453484649530736,0.7359445815630357,0.8027441085170691,0.5824636028419498,0.7274902660366493,0.7140861673011245,0.8723012288870736,1.1844493969547543,0.7890992749039901,0.9826814794708734,0.6308032667728345,1.0613012650924587,0.6344175201942255,0.5936528091690134,0.6399053829360979,0.7684451714200486,0.5879579021414247,0.6798317770481171,0.7665814623733074,0.8604374647550012,0.7737697722219372,0.5948742552152665,0.5692055375564099,0.6098299446057405,0.5670802719585374,0.5496635479943455,0.5596515645917759,0.7996004543328864,0.6636196189168379,0.4826370376471933,0.45994514312949036,0.5511557110329949,0.7259976242761498,0.44197016905237874,0.407386716595043,0.4789889406300385,0.43873208101555683,0.5886988120128973,0.48213365342398795,0.5286072385594432,0.5930711152387528,0.5834200190935851,0.7196565800812098,0.7960207629039905,0.633204192447225,0.6974225464362575,0.6335186338922535,0.4664204294756664,0.4057882342160293,0.41110769225255817,0.4264461415933205,0.47141499113312346,0.4763100278051805,0.5448223141863139,0.6843757737362334,0.5305779381515606,0.5767407352054794,0.5329005685711447,0.5278472268896856,0.42080069884986454,0.3575464224935042,0.38251622673350155,0.5603835512001527,0.5391070987244229,0.5513998009824993,0.6142940598860512,0.7040222478135391,0.8056509151595889,0.79365596641948,0.7203891565479957,0.6966895769533752,0.5587053200454203,0.6637398101240812,0.49060026796061856,0.38677012088501456,0.4716233014760587,0.5538008539194451,0.9298896966507724,0.6140947009644327,0.4950615403869093,0.5285971735054622,0.47873000935628657,0.4601207006179081,0.4473993875313448,0.41668056775742934,0.4212589122245639,0.4735294199309724,0.43149895469203486,0.5573026157037255,0.8714782665686969,0.6768193015641284,0.45162312736364385,0.4048587949754637,0.43989716577282517,0.42002163680756555,0.5076175325006138,0.5058831286694555,0.4992219047567262,0.5347400017049324,0.6041582668579755,0.8583458057993706,0.8760320476992307,1.0515158653566041,1.3667124197122666,1.1728183823989327,0.8373813032956153,0.753324403288292,0.6050744448670162,0.6354606161103241,0.6046722160543108,0.580788896648257,0.540645577689994,0.5169798454745214,0.5934766088916622,0.6681300461210296,0.6496052518298058,0.7733671361526618,0.6300565670955546,0.7855719367589553,0.9230842227226526,0.857356171329561,0.978609364320028,0.9332521768685705,1.1857343689625834,1.342381052982513,1.3657152916101793,1.5812516298327772,1.1712202938161438,1.2382781895654436,1.1636236244634335,1.0437603040940104,1.140481242683718,1.105297678338875,1.0349087731567526,0.9632788759592766,0.9115575777247772,0.9185012541112375,0.7691870713043996,0.6624344779804611,0.7153642296792805,0.7198716220765171,0.6359234630720674,0.6040893667306645,0.6834345888428275,0.6427398648349799,0.6466354660507851,0.6673005803618983,0.7020254359972227,0.7233363024247228,0.9006960868563288,0.9134241550086236,0.9066998499522793,0.8728696086746452,0.9115542721598753,0.8171830811589728,0.8679821729285313,1.0391540035592866,1.5521579206548728,1.3567076742553597,1.1364582321611536,1.18666193526707,1.2390003223412072,1.1397740217539878,1.4611469028188664,1.44034322458811,1.1984377832831046,1.2658364147853036,1.5632792008454715,1.3948835728154214,1.2602180146145332,1.5752449030755127,1.6956864839893298,1.3971651962308675,1.3369691145620466,1.0592162248950612,1.114581945735112,1.1702373462435558,1.0328001101891688,1.0469676284544556,1.005042676222218,1.0261934172841467,0.9565050022689913,0.908259401983067,0.8134969550318795,0.7527917906033985,0.720107992198838,0.6889351949609406,0.6494197852393095,0.6188148001806159,0.7179743059432926,0.6866988557207508,0.8196544037053412,0.7261364945809028,0.7429883786157012,0.7423761635639688,0.8241812452950124,0.8521075288136667,0.9895434040666206,0.9221749709906595,0.7722889613104763,0.9509807466446782,1.0356242825617494,0.9414942905446608,0.9312754026870493,1.249937348734386,1.2304709076505977,0.9659617531081006,1.1726359872539123,1.4892300545643473,1.4189723012304338,1.1368127751869077,0.9029716457316149,1.7490631958846241,1.18133575696326,1.110272200987964,0.9044894521206736,0.7145189555559374,0.7831490389779467,0.9974437642043328,0.761382273739347,0.6911736806435025,0.5962716081368243,0.7304865240795743,0.8033056842483787,0.7251210984621502,0.5459689564676796,0.8283747575122231,0.56797149547286,0.6185566222230269,0.8102769614355879,1.044630999435313,0.9141496619818256,0.8814344017474395,1.6717576583012792,2.002209331967998,2.13338939147047,2.001255625453861,2.7013760917147738,2.6379066160354876,3.7065670632633276],[0.761306805691335,0.8057952797148402,0.9324727620986899,0.7447152492566562,0.6313553875531182,0.4929769771742415,0.42481391598988066,0.4485305704060806,0.4260909072997033,0.4019225260982751,0.4140932218384268,0.4748908756491065,0.43778262742522245,0.46505755396610826,0.5144781607264445,0.47522766442204323,0.5051107729668609,0.5351207239443138,0.6793321187813413,0.6046945934814646,0.7749977715699045,0.7724304075454398,1.0559872144501,1.1237652248826773,0.9009178591972585,0.7600299413459467,0.6303529192112565,0.5169877597993482,0.5030323849947288,0.4822095117487129,0.5170078619509257,0.48203103938527175,0.4801915468928501,0.5090597363274387,0.5223492510012654,0.533310288504784,0.5064031650974724,0.563260209105706,0.5517061656313231,0.6939964995385605,0.6546853117534045,0.6738519487530825,0.864259446916245,1.0348968318046692,1.551197204443332,1.7250068506252223,2.221090633657595,1.466944607698075,1.1733218910038556,1.520748397707298,1.4962827365100024,1.2235027564169358,1.1366864487198545,0.9454417604113468,1.2442492681630974,1.001361864772587,0.9393097466051852,1.0718058857650776,0.8805614522920432,1.27249884461169,0.998139307194199,0.8729056081332751,0.7344233784015305,0.8512152233604898,0.8443770080105581,0.7458019017528646,0.8125324548328409,0.6020869225673059,0.7484584084684552,0.7284409331551812,0.9022728774172369,1.1842673190609128,0.7985723887647617,0.9924362847119248,0.6440547092550858,1.0355929172073206,0.6484565268876047,0.6118263000551825,0.6597482947072385,0.7699661514517411,0.6047245967003942,0.6841001574758925,0.7700379400210318,0.865148145655315,0.7629439184253362,0.6034747652644709,0.5769274468347667,0.6321823342261612,0.5770610197150309,0.5691143538344339,0.5851551024317645,0.8054064834894143,0.6849411602526233,0.5163372221407816,0.5057941814612795,0.584810678066837,0.7622925305134193,0.4831195862211465,0.4548491020805634,0.5189792070003948,0.48006896219601586,0.6269768816699763,0.514970005774953,0.5632596295959863,0.6301147914170282,0.6166162546624002,0.7510592803721544,0.8209674450063551,0.6662061296046261,0.7164704696279812,0.6673804016408719,0.5016813739336845,0.4458053607674918,0.44679698894868924,0.4733709231277589,0.5249494132484624,0.5181815161873089,0.5717447855927335,0.6910866644031295,0.558126868401482,0.5979119920945872,0.574017581689613,0.5721647950971988,0.45637369821034907,0.3969729942991825,0.4153068703961289,0.5894405938095426,0.5719700827351281,0.5815296945776105,0.6445751990737086,0.7232722649172204,0.8212589171059196,0.8057854494486235,0.7417542353393346,0.712732526186629,0.5723035739298986,0.6695196683042545,0.49525590431915373,0.4101522662822196,0.49833380079213524,0.573720148505822,0.933016278616159,0.6258914488312456,0.5146955002617382,0.5392349424395145,0.5023867640496948,0.4899356702977899,0.48006462626537805,0.4572416273521559,0.4584358295863833,0.5019085952308183,0.4700108925336034,0.5874558551820407,0.894651646376716,0.6811183358971279,0.4934456774689723,0.4531713082031609,0.4789263766780543,0.46505999729350606,0.5483373715917037,0.5337890221547699,0.5301522666559881,0.5558936153390563,0.619074638597746,0.8540436078795465,0.8946410500822592,1.0442469335233677,1.3486900201265806,1.1698326491769833,0.8401579933675701,0.7584366093847038,0.6138251087665921,0.6432855755865372,0.6183472783332622,0.6017471452976548,0.5719729083779053,0.5423107292741817,0.6201913519181822,0.6848102331493825,0.6781205786517063,0.781184372550394,0.656505643308737,0.7927081471690006,0.9208516745310182,0.8581661005564803,0.961492520445385,0.9105710691879234,1.165782244916729,1.3180190170818586,1.3397732880217503,1.5515787555694909,1.1578173137223224,1.2313860363297577,1.162222983769753,1.0442714924065486,1.1397415088038731,1.1112852842382828,1.0430229187195093,0.9734011993760506,0.9241644750089999,0.9274392286632442,0.7915747997598733,0.6863911950864306,0.7220147812162149,0.721694995778189,0.6472365435712744,0.6092783495555887,0.6737312264986305,0.6372947909446715,0.6347293356384925,0.6489966624713993,0.6713798653640307,0.6933015634525636,0.8568606593242154,0.8683681821170919,0.8679459181119475,0.823647948628811,0.8695270135765499,0.7767936429556885,0.8214427657576892,0.9906074623899083,1.4448587655869394,1.31234799776338,1.080548133505546,1.1573247033433463,1.214659743312448,1.1230442927259991,1.4386117998411867,1.4037144531259043,1.1804010231946294,1.259035799794257,1.5358704295214303,1.3640308457597714,1.2473859380631886,1.549516378374138,1.6531467939562305,1.3831408470216975,1.3311419490399345,1.0570915314362197,1.123603545783846,1.1784611438390402,1.0436440710804153,1.0644582003434595,1.0192768180378295,1.0603479904973987,0.982790725876041,0.9252035270980649,0.8448416253676005,0.7741499612329398,0.7378886799633165,0.702870955967127,0.6719732778786714,0.6364180432314264,0.7154791394900145,0.6819912806129655,0.8074979475638335,0.703889590667451,0.7138258750451784,0.7187696221483713,0.8053249713990519,0.8467838420199059,0.9773089407758958,0.8892077513457258,0.7559265996079514,0.9288734465223762,0.9918339466658549,0.9051559878953699,0.908671064168137,1.194665240055844,1.1662906543858076,0.9245602464852585,1.1279358084956206,1.42040791770756,1.3496351675668046,1.093540746634929,0.8752862872334471,1.7600187640289389,1.2201825841265546,1.0996431669341167,0.8663715636635815,0.687194319303199,0.7501242599932316,0.9601363869362456,0.7610969317658316,0.6764079854461614,0.5955629438193821,0.7338232855917873,0.8681404713798311,0.7389264742419555,0.5698745324534196,0.8479842377079567,0.5996300141614339,0.6517047723764102,0.8768954438235959,1.0428588525333828,0.9151575456691109,0.8524693065019241,1.630769794899609,1.9782458336076558,2.05332074191992,1.9219752378554396,2.5853018008373376,2.544691273548171,3.64449822707166],[0.7517811740846516,0.7915640608281906,0.8983894093495981,0.7325413734469475,0.5789168503894159,0.4794540012340122,0.4106941597081987,0.43334979849485256,0.41905338468279474,0.3579331470177614,0.35668496569648844,0.4274565060083288,0.37884584363430707,0.3803335562116702,0.4124521955825543,0.3989080144357817,0.42139937735374683,0.43238896279095906,0.5767415739145648,0.5111790603109646,0.6563733624222134,0.6669294080625553,0.938751780427373,0.9994415370974379,0.8064071776987392,0.659502663138403,0.552941641939745,0.431383907643286,0.42883158032876495,0.4096924033063382,0.42465448111825316,0.42642147060913266,0.4078345650537326,0.42363581752191337,0.4386858612406068,0.44833659375244156,0.4312363767386376,0.4857866119905428,0.47545531599431246,0.5936212638545966,0.5593388234159483,0.5909244379823116,0.7606599452867148,0.9592792870706689,1.4994357750030007,1.7319774232087355,2.167253614459308,1.373573959418116,1.1105380054541343,1.4397660877621086,1.3528840154631847,1.122909342072023,1.0299264893244866,0.83590892334224,1.140665706073177,0.8675558731736445,0.8286681754954085,0.9842591175328556,0.789971307342697,1.1715379145763343,0.9101255430913856,0.7674562917788342,0.6310390326443123,0.7249454909938287,0.7428645542888948,0.6458703817916465,0.7099761070376321,0.4973518673067887,0.6636931684534457,0.6415477308177769,0.8153044939987415,1.1020735270885187,0.709054225062395,0.9071817995480791,0.5538015013431188,1.0417486883700622,0.5411035793856016,0.5026016725988728,0.5572071316743775,0.661935161974592,0.5239881386950392,0.601091430966382,0.7533516376511654,0.758499738256745,0.6785142084534787,0.5309324223964766,0.4922382973616541,0.5605553887725677,0.48759263082065873,0.4930014162636106,0.4777133565277845,0.7101286034058574,0.5748031641226149,0.41071201233890536,0.4054779363170527,0.4944416545074041,0.6592759049724253,0.42942228206437966,0.41484672260203753,0.5174604536987167,0.4384912677403358,0.6316412522716878,0.4537240878006905,0.5130800490329555,0.5458361484788056,0.5521977505121127,0.6607779479440042,0.7412261156624671,0.598702947921956,0.6978056328726169,0.6322027500140946,0.4625474405841756,0.41653800634116284,0.4093820642817471,0.4253854664413127,0.44824969980375673,0.4359121806618259,0.5045661549456998,0.6112422336911912,0.46589649972448827,0.5099893701463434,0.481581980257276,0.4803372332849811,0.3957061221503704,0.3590709544650284,0.38732592820271916,0.5871177349890618,0.5207637761010113,0.5312947503485007,0.5628429616221764,0.6569051596028185,0.739796752971481,0.7033057278097657,0.6358414292647204,0.6232581792999968,0.5690818077299755,0.6398406136358205,0.48108020345087793,0.3716827074883836,0.435767606283645,0.5041415979691865,0.8775984907060888,0.541397964403592,0.4433358287130479,0.4563809100913822,0.4174618324409893,0.4139923800037183,0.4240974110302109,0.4164945134101212,0.42390434509239416,0.4905015345088293,0.4504685228080486,0.5723158102874808,0.8879072294692724,0.6894573596993109,0.4685247900152851,0.4218668550326917,0.4585256230654723,0.4192355959237589,0.4786801623150549,0.4655768554472207,0.4586154217687469,0.475302756424605,0.5249812319269771,0.7682484204177725,0.8403603431166933,0.9483889730865974,1.2919652699576807,1.128006310255343,0.8556913033526986,0.6925824721962272,0.5593443976674782,0.5618878985870311,0.5320585987790499,0.5122555621477072,0.48315367728224734,0.4771247592235347,0.5371553919237183,0.5797039508972691,0.5653137681670355,0.6814901210332048,0.5613529048850714,0.6928635165374334,0.8137063410258609,0.7610515667631257,0.8692567785976387,0.8319908628128566,1.0466816828281091,1.2850367143093238,1.237694919728952,1.4197296380777993,1.0887419563928753,1.1276292332893034,1.0716240036707232,0.9290168241118467,1.0193210405937887,1.016935665050329,0.9618332607109492,0.9034183733667611,0.8729642073600166,0.844225669235713,0.7091508339588711,0.6324577573929421,0.6811161600813199,0.6791411140313112,0.6279274609409802,0.6107214822022197,0.674696986075569,0.6292816315854503,0.6651089888045073,0.6781081389899349,0.7076836887369012,0.7451392063569944,0.906814895278503,0.9162682113362672,0.9081989890136964,0.8597013597588299,0.8746384660703025,0.7952877458899561,0.8340049855018055,0.9655186058150489,1.4455142354059893,1.2429301982777339,1.0624261717295984,1.08994390392154,1.1193676957828294,1.0363987250159357,1.2914411660024496,1.3216988265883929,1.106571174699863,1.14039181558641,1.4271351028844927,1.3130630181551035,1.156693780038495,1.3950727302842987,1.5956611566934018,1.3300777532548904,1.231245880300591,0.9768802445644962,1.013278899069359,1.039914114152769,0.9270449403421017,0.9242870083620852,0.9064097608164359,0.9196514430572887,0.8604011148485249,0.8261009323283627,0.728490857136645,0.7023438667893336,0.6742774766087999,0.652614585754835,0.6388816986609499,0.6155800467689292,0.6847171693959656,0.6814994899113834,0.8274926418522723,0.7197771280359802,0.7214284445450906,0.7140051420627138,0.7640187206879063,0.7864306853028953,0.8948599075578872,0.8458645768475616,0.7275713372912894,0.8662833461894581,0.9486801052780214,0.8768945948449464,0.8707705345743695,1.15325638316647,1.1762440467487063,0.929228770457621,1.1262103105418173,1.385698521873561,1.3642838286618186,1.111236633207055,0.8914849927211504,1.72030303363758,1.2018622211493855,1.0673776496067986,0.8975786936859163,0.7197493089655801,0.8006402904022879,0.9974654236620422,0.7728426510101429,0.7005569620037511,0.619514978633308,0.7191473952465951,0.7429299274699226,0.7057862557347372,0.5471452060867332,0.8176621968619218,0.5678926192578353,0.5935282344715768,0.7635628594808428,1.0597763241235614,0.9331821474168909,0.9180586740742744,1.7015540852413862,2.008181523521133,2.17909903134114,2.037469923069869,2.741505334012749,2.675149003924151,3.7202187378877],[0.8550576667023989,0.8794951946161332,0.9346839831508705,0.801412428469466,0.6225303888046705,0.544721954581504,0.4709820595504443,0.49505586845294025,0.472189989126272,0.38400694392487267,0.3783413871218782,0.46092477111403735,0.4063015184574442,0.4006689648287924,0.4320999122365218,0.426041002322367,0.4534546078116108,0.4692589177005503,0.6054183856995837,0.5642510568215494,0.7296794974095252,0.7552697774677913,1.0492584064522812,1.1153691420162917,0.8889495714581711,0.7231460346084795,0.6177833775677083,0.46971098449929105,0.4670204719495595,0.45564371168497403,0.4482624111885325,0.4619176751872711,0.44271154960682646,0.44580541663164697,0.47278688028264687,0.4863340648264228,0.4780874241265313,0.5361587066160424,0.5350416458817084,0.6600451542553661,0.6300235107896348,0.6601343994206057,0.8456696091778438,1.0279997442094955,1.5748848530468018,1.7588107296720554,2.251348498450063,1.4850444070281927,1.1787877826645,1.532680157820044,1.4949620183403065,1.2274218581672414,1.1247761893600783,0.9228028125331706,1.2264673420672099,0.9810326436242491,0.9235892220165979,1.054344294483131,0.8618707893806974,1.2464260174729092,0.9726667880124114,0.8273474680623552,0.6827021961926086,0.7877091616555242,0.7982153244435566,0.7086612505363411,0.7648182117371606,0.5404673328719284,0.6871527016278769,0.6758555043458272,0.8212430604616098,1.1305650373708818,0.7350383615907448,0.9326462876354704,0.5832650991324368,1.083190768584168,0.5816734403727929,0.5479429329228439,0.6111350033532158,0.7246406416227724,0.5833435189597387,0.658686778893867,0.7991596354919323,0.8249150550956048,0.7295616446819837,0.5935018491845412,0.5474476080649195,0.6129300901332566,0.5407375585097832,0.5320182085717795,0.505557503920745,0.7372933235914756,0.589948416637119,0.4315576948665653,0.42733176656405497,0.5038345066454003,0.6603105779765386,0.465475365350739,0.4560097453912966,0.562963599060881,0.4814052463595819,0.6968445665137629,0.5255011245950363,0.6047163047878955,0.6399099776838296,0.6401559878651093,0.764130343468495,0.8669138212090455,0.7157397559450766,0.7609268797746278,0.7125499210059997,0.5368213947780339,0.4759855059142805,0.4582278641757374,0.45595563657936783,0.4746695387514929,0.45890512886595064,0.5316863076568018,0.652539613311449,0.49677241170134007,0.5482100329689303,0.49375983914358307,0.4980808241405637,0.4214987254523714,0.389596618893243,0.4306742704233973,0.6587775956351302,0.5876621709201706,0.6276569736830778,0.65740542222525,0.7764141991498703,0.873112113510669,0.826977232341386,0.7490067410881862,0.7154494734984989,0.6421735300611231,0.7111048985516578,0.540330987277119,0.411370233942329,0.48551995824047767,0.5533019178371344,0.9479082870222744,0.6057029664666185,0.4939582621162284,0.5164011745566052,0.46274152959513104,0.4518294557830219,0.47378547866101045,0.4815440664123918,0.47556258141662494,0.5603883791001306,0.5180967745007776,0.6493685990081678,0.9451942064847579,0.7107407915497609,0.5343031430842848,0.4770873600777172,0.5302918782237346,0.4890958020284912,0.5574392070532768,0.5353388902762672,0.5195131617970803,0.5368333477797144,0.5982991007780389,0.8292504539318782,0.8820638864164955,1.024412516064397,1.3414331664511603,1.164819933458781,0.882824778280398,0.746606509937263,0.6227911572089364,0.6338468651972079,0.6072714558902151,0.5884007834248555,0.5737303197034975,0.549163412098446,0.6278615465734229,0.6594454125452051,0.6599986374751134,0.7466858074001714,0.6562604798784272,0.7917962457285477,0.9074953426792526,0.838054315499413,0.9184737968272193,0.8704382493227067,1.1259385217031088,1.3100667778034614,1.2985023120590655,1.5046203611292326,1.1481778361290638,1.2203818360444025,1.166899470793096,1.0557201239335794,1.1511925400349972,1.1232574125391257,1.070753071159583,1.0081467381047515,0.9634738730043764,0.9989841282825965,0.8607927082336225,0.7646348687439779,0.8419294024397074,0.86147427699708,0.7827777288795567,0.7596563589246631,0.8461024529286542,0.8159166710183892,0.797239493289448,0.8210512770569289,0.8720520433754068,0.8723755177822159,1.0251805136460492,1.0341733857361126,1.033003520880269,1.0223978262635143,1.0559132982772477,0.9825267844948223,1.0461636349830523,1.18890956653932,1.731944892118044,1.4793323341753983,1.2855247126509937,1.3071315108391615,1.338487626730207,1.2462839183991083,1.528590446295019,1.5523312301925,1.2896670867412128,1.3292061258600747,1.6111120929301757,1.4861767305282338,1.3179393351985416,1.5711673289995514,1.7787266779358315,1.4610418520785138,1.3434733753973986,1.1087990393690697,1.14224904507434,1.1839047036403252,1.0900909056355814,1.0761579922434952,1.0767775374533564,1.0357341569240939,0.9903710150459296,0.9891256797931317,0.8891659640564108,0.8573290637041968,0.8471234393763081,0.8383146512386838,0.800981965162448,0.7851126351034683,0.886585978647632,0.870281830903629,0.9760477176925557,0.8988541985290673,0.9255840381534647,0.9234140325339908,0.984704467235439,0.9815149083008812,1.1069422774803064,1.0719729475766315,0.93407975410259,1.072160444951603,1.1726629808859346,1.0847627905969441,1.0542799481749305,1.3650721549739482,1.3652733023086208,1.1054127620969312,1.2804594544027947,1.610720684677564,1.5606192012430975,1.256994257809979,1.0370914127628528,1.7842211149447413,1.2015338541831855,1.2000329536017886,1.0153870642012455,0.8592197276651637,0.9180407816588699,1.1031356909339742,0.8806066716599451,0.820031118626069,0.716035247931514,0.8557770639489514,0.8311702683988299,0.8131163151048897,0.6378903226183356,0.8802177180110856,0.6794083894585768,0.7186749149247948,0.8550189067255559,1.1215432547004114,1.0008226092692016,0.9786851276403767,1.7170511115660456,1.9791995507465394,2.21460087556828,2.0730534998782333,2.7389664683906965,2.6715937360429294,3.6547849743101346],[0.8911781654491818,0.9210533213742281,0.9734230708908477,0.8302274282062647,0.698092855331023,0.6292114969275473,0.5739130021870299,0.6120092387106102,0.5531043311224352,0.5146407675466329,0.5035452530083916,0.5911969709415723,0.568654889059861,0.5339545341348254,0.5697392416932383,0.5903331905685504,0.5874589474809987,0.6054123703362556,0.7287706966679388,0.7035940104800884,0.8477130775399718,0.8701396089216356,1.129690207423698,1.214609726117434,1.0038728240616699,0.850923188262384,0.7192235324767435,0.6311149603850281,0.6239922988300156,0.6194122461169015,0.600400317011803,0.6284155626421618,0.6265074914101207,0.6369903743808557,0.6657987326206527,0.6555783280275379,0.6734944784265846,0.6935790681619751,0.6972644044818015,0.8260876875162901,0.778262687883678,0.7908701772423598,0.9279404949290352,1.0886358280127806,1.5546904156791452,1.7388110436707465,2.2163757882313844,1.4865748404176427,1.2320458321989856,1.5323398906283057,1.526400653688195,1.23544708295916,1.1863684670614447,1.0285563773637525,1.3602990668955093,1.0826747212418102,1.0410510450365633,1.1144106292806624,0.9748958277091322,1.3435502497761391,1.056294154866163,0.9552382395535006,0.8238873396339788,0.9097840053656424,0.9061286128477607,0.8384468109730486,0.8655897136151003,0.6767036410522409,0.7845630530083486,0.7338553157782263,0.8949576356357841,1.1603723907114618,0.7809417794195355,0.9799696389176412,0.6932376040485394,1.0746507763588276,0.7269215300689331,0.7163602983056065,0.7834242109756954,0.8813567633449912,0.7510744368943202,0.8198431356914454,0.9368354870694082,0.9940128131806971,0.8709626077248223,0.7613159856590072,0.7193736815074023,0.7731650879330345,0.7064952546097156,0.7076607004581876,0.6718116397312002,0.832297942103506,0.7212293439335089,0.5866291820958629,0.578469771501985,0.6287346110691634,0.7771054782145403,0.587127830304601,0.5982288691507728,0.701116084693483,0.6557363497807109,0.8142985813532224,0.7039359741806539,0.8053896779016317,0.8158621454575665,0.8008545059730183,0.903167865972996,1.0048169023903266,0.8589788937726462,0.8905664423098197,0.8579886517830659,0.6909929677892357,0.628075768269412,0.6232674067492359,0.5968880854788864,0.627880291945033,0.6192831190761767,0.6640480257499309,0.7490712662481023,0.6227466025281301,0.6284681199890124,0.6137030858001714,0.6073966689045104,0.5316844155148446,0.5169272653398541,0.585828555653252,0.7428919783210749,0.7363281730713939,0.7862065975725071,0.8432678503531792,0.9278865964795975,1.0329575233486343,0.999579395799814,0.9411148214150038,0.856769698457452,0.7725915254382164,0.7999753677534455,0.6601224628313395,0.565495198805644,0.646001458912507,0.6538203932102363,1.0390847885742696,0.7428788393536214,0.6467986991557664,0.674854726652515,0.635694687321218,0.622936807611169,0.6512951678624043,0.6512582194750355,0.6288990310742576,0.682195374357432,0.650203113334684,0.7767259088709866,1.0941030408887515,0.7969568196659996,0.6898190066743322,0.6323947138173877,0.6854296097175558,0.6506755020709948,0.7349897815971215,0.715290830438855,0.7013923811706541,0.7101175467231277,0.7548783365472924,0.9543225707342572,1.0219681586164078,1.1153601954731467,1.3659695653355286,1.2267261767112536,0.9555261043560748,0.8586256626625387,0.7533026873661134,0.7762335733887624,0.7659743858061496,0.7559516458269958,0.7567742026167965,0.7012873819843679,0.8023463358113788,0.808426765189481,0.8436747448676468,0.8976420698554498,0.8326664049380944,0.9333990764625031,1.055926507613861,0.9894797877760897,1.0427669537302628,0.9835761700936879,1.2478507678588941,1.3454168155418293,1.3884750523218912,1.5724228967002147,1.2475428554804195,1.327495140946002,1.2852354158810433,1.227032516000293,1.346474820300905,1.2987112224623194,1.2094766280436178,1.1515582338211399,1.0921545456886774,1.1472158992757195,1.0281166694735895,0.9162190976725205,0.9696906129558266,0.9891901036246404,0.8981691172727228,0.85755622584722,0.9325267016906967,0.9120918245465081,0.8587111141056782,0.8652388342798513,0.9126330920860394,0.88943184347614,1.0049659756836526,1.0090014955548046,1.0255937257484244,1.0655674975513594,1.0974291551749857,1.0249085890151919,1.0940493984664494,1.2575260094473664,1.781147689256717,1.5467718315347823,1.3713139217892005,1.4151811366439238,1.4689288506660378,1.3900977811910495,1.6956894924170554,1.6624048639975841,1.427466019796667,1.4683164442247245,1.7151960718533938,1.5741123589568256,1.4371225944935961,1.7699746880965506,1.8517782165962409,1.5235460737302449,1.4981183062223484,1.2494120858277975,1.2950684205234981,1.3563439380642728,1.2681456481735602,1.2554748199148331,1.230972879555007,1.2147644669901863,1.1674303817667615,1.1615305057056537,1.0675287272481244,1.014277495624966,0.9768608139821531,0.9618825486974893,0.8971479331059734,0.879518821430365,0.9901028696241785,0.9407746484913376,0.994938049560514,0.9472589039568012,0.9870187046889257,0.9937597943060882,1.1009174215940714,1.128654221334392,1.252820353510163,1.1803444101917515,1.0416391903728148,1.2111128905309634,1.2782547822395969,1.189772315564394,1.1682399568383746,1.4747973351161718,1.410132122029813,1.1607110872694217,1.3771998011305868,1.6894501013174346,1.5546906212222946,1.2683030959588708,1.05712247550852,1.8192192914853926,1.2420746723036438,1.2568595947103032,0.9907207463323183,0.8773304240605253,0.8843633074292669,1.0409250028587298,0.8987863042547329,0.8361635296356302,0.7428810653971349,0.9165722806172382,0.9801941069025415,0.9406856085424309,0.7792379105759324,0.9708020983387643,0.8258119027654653,0.8704432787600113,1.053760932799059,1.2010599333367122,1.0843332529514205,1.017172536109707,1.6889367650188127,1.9513362216928836,2.0681512192144664,1.9491341136886862,2.49999054884433,2.478985396362592,3.4916741674253196],[0.8029062195679749,0.8312519230194823,0.8979246217994116,0.7805830640153711,0.6297706496130518,0.5848741189912279,0.5307536928711502,0.5535376186881833,0.544921579744632,0.5263803980767439,0.5207117123526087,0.5799208272473736,0.5676448756082609,0.5603507801766506,0.5839920465831949,0.5963832363445639,0.5768091505683381,0.5948735566674246,0.7004500144504678,0.6676489944277245,0.7866353115466357,0.7784262508284104,1.0274817734267725,1.0939064396117941,0.9267680328261862,0.7950558709159256,0.6416348424439475,0.6109138862042349,0.6057236220121008,0.5994771608883465,0.5901687252837036,0.5984564726700365,0.5921553341261752,0.6007001300758249,0.6161208296381296,0.6170742489044494,0.6157271014991107,0.658558568138543,0.6540003553165665,0.7438334235015567,0.7032647841647491,0.7029911430868018,0.8087592782685671,0.9849051695611745,1.477628569756403,1.7330366333918135,2.159311635048846,1.3591188957780764,1.1358891121793397,1.4359430041105088,1.4213138142818094,1.1489691812042198,1.0763447973413232,0.913164682444397,1.2422184342616653,0.9581200465208458,0.9398565974531212,0.997981343915585,0.8839331192705795,1.2545662739676506,1.0144488445312625,0.9049970429326848,0.785217592653802,0.8451726689940061,0.8713753032278021,0.7941283529479807,0.828440945192515,0.6472577804356647,0.7794430747264969,0.7316434861902134,0.9049461426476623,1.141441944837686,0.7843078239679764,0.9655707495087034,0.6723976513833129,1.0461300303955954,0.6907163522357781,0.6674188828675294,0.7315206127686711,0.8102482290612069,0.684163162059367,0.744478301256411,0.8532371582300261,0.849010231838397,0.7353028021824499,0.6614276045758873,0.6531611107874137,0.6978329233391327,0.6540712718602126,0.6506382146429467,0.6397340604246147,0.824486430957859,0.7146813316757086,0.5856197230236329,0.5811016592440851,0.6365025578673409,0.7764421724498791,0.5775325144197944,0.5733552223136343,0.6566277626882279,0.5994379238172476,0.7549356358178678,0.6069030258098573,0.6658979315105288,0.6977002244496661,0.6828284695152527,0.7767142342952872,0.8620272937491997,0.7315049206918163,0.7759945237301682,0.7402262547586873,0.5976046085135631,0.561302655818589,0.5687310838255669,0.58878091945415,0.6214462626420544,0.6102475627311362,0.6544238168524416,0.7174958908076876,0.625217752629889,0.6473789191001011,0.6480107380084281,0.6445080511781723,0.5530485530673218,0.5090679595190417,0.5358143493060856,0.6802634243423759,0.6332472148443558,0.6552015237859419,0.6937903729349036,0.7921712925707016,0.8972592301744362,0.8538463575384875,0.7900421208311871,0.7420104463016619,0.680914645819641,0.712090169101798,0.5855650567775164,0.5243355073244261,0.6100298709505364,0.6573708461322766,0.9861008160632442,0.7012492189156496,0.6200041813007704,0.6224818374645098,0.5964844125404054,0.5936135556036249,0.591327291313828,0.5821566698555691,0.5646767627424214,0.6079249590653426,0.5842456473045361,0.6952414907773612,1.0330865288872793,0.7501132108584745,0.6206528769406914,0.5811883810575675,0.6100945933262879,0.587848690018015,0.6459276717545286,0.6316348874756889,0.6367085865979413,0.6397726117894253,0.6780135578815847,0.8521829760132246,0.9582887326444252,0.9986530309095509,1.2815085295112498,1.1636238132416,0.9311876480923476,0.7777258438143538,0.6819879973063229,0.6848808157256666,0.6680184026189419,0.6584084544428884,0.6614744455446369,0.6296081515335747,0.7022588427579455,0.714546341982507,0.7379724324862074,0.7723138386000092,0.7070557508769051,0.8247889407799677,0.933524883598335,0.8739414876875616,0.9192003819335054,0.8881642824512763,1.1164998942137971,1.2764019184037037,1.253192820655057,1.4114544164468672,1.1256308143005898,1.2076087594249254,1.1575838232235227,1.0479655605740716,1.1323071517552408,1.1514886125633255,1.0832514945821938,1.0171485107560885,0.977615770089678,0.9917751315082033,0.8664134235407928,0.7715111090651067,0.808904733323529,0.8084154823911085,0.7441655132699714,0.7148979817197973,0.7559927354256105,0.7296186770090356,0.713066066526483,0.7097183867804108,0.7365329825000586,0.7487859362762084,0.8928900002662529,0.885332808456412,0.8963792174526,0.8622197731670592,0.8949832181784166,0.8224228087155333,0.8769949887629519,1.040924941054865,1.4846559589945527,1.3525544563741163,1.141953881974494,1.2053254964960893,1.2532193862656726,1.1862518898046774,1.4525843139521464,1.4475901905463866,1.2279646617994475,1.281946048265134,1.5382514551742583,1.410310489937205,1.2784545165243089,1.5219043563372463,1.6969303974616154,1.4178310528082985,1.343967567770747,1.1009744708257987,1.1400501694834193,1.1865707692139495,1.0753763868866717,1.0837737691783738,1.0551268950187032,1.0631710282638733,1.0107842407416496,0.9880231749512646,0.9055567998621404,0.8597003395693035,0.813922177352852,0.7882516808116958,0.7534385861798578,0.7243035953529304,0.8091702925065335,0.7725752605028058,0.8669318261411889,0.7729883759882687,0.7855372824884079,0.7898769550071106,0.8853486605660567,0.9196805815803437,1.0358000802914784,0.9579421387086985,0.8357115012617865,0.9980765989921726,1.0523443335750235,0.9615240483447526,0.9748231212862005,1.2500253653138351,1.2185697584350972,0.9785079508717902,1.2032012442555133,1.4775213676173216,1.3998843894752133,1.1400058112126377,0.904044486881218,1.763668564372075,1.2057610096699944,1.112548400432086,0.8562673875948856,0.7188728553978206,0.7749365716199378,0.9522743775436072,0.8074499387176589,0.6961358385068581,0.6081551664512197,0.782034076664796,0.8660736181968741,0.820578927248156,0.6592338189334148,0.8764621374306327,0.6941679235799998,0.7249252800034248,0.9389045410607704,1.0957469450905666,0.9637540630483761,0.8920306545861255,1.615815961461685,1.8929753719674534,2.022464259007007,1.8947727284589186,2.468840947607614,2.4317698419888,3.4698194478790128],[0.8829839703620771,0.904507817145779,0.9594521817045459,0.8536160070354079,0.7158155047141067,0.6716110849891418,0.6120872230824286,0.6279547704806021,0.6104734626059592,0.5455621223408362,0.5345945629309636,0.5983682681436836,0.5623909766976217,0.5268330410169297,0.5471584401483962,0.5732724549810175,0.5610169735107697,0.5447158803828791,0.6158540048659746,0.6045332438602528,0.6819507373828707,0.7113030828131667,0.9361140710708188,1.0000522750773484,0.8377151102029572,0.6922394986611546,0.6266851887157092,0.5637579731854879,0.5796974042523192,0.5872082232890111,0.5559586672413507,0.6129159409012896,0.5999617774620127,0.5761728639809152,0.6035982763340516,0.595688602707351,0.6084525849578369,0.6410478667159188,0.6446864959444526,0.7686868376207542,0.6938556097096205,0.687354723294308,0.8177838550248309,0.9967133346139143,1.4945911938823428,1.7645957343589511,2.1679850232036846,1.3646600620792384,1.1443347782282411,1.4627612807089891,1.4071225272705383,1.1694297234294806,1.0916075588815424,0.9289847305300394,1.2457101677054114,0.9371487987569403,0.8979341295234005,1.0281648615586354,0.8998966568268106,1.2123770403034404,0.9905632445882967,0.8649478508238774,0.7288695687310717,0.7440015272207536,0.8229423912690551,0.7236077370016886,0.7209165754642565,0.5702725706377677,0.7104599019470049,0.6774497486521223,0.8301310513548916,1.0752217060020732,0.7372761729349513,0.9169994520181952,0.6168144999017873,1.0519269133384699,0.6297158026412615,0.6046163795557855,0.673966338691964,0.768295879708524,0.7040800704601251,0.7871763848660468,0.9210497369621297,0.8939535408107864,0.7837454819638656,0.6871267270854728,0.667281771015731,0.7069595155793417,0.6237811451138049,0.6269463847509774,0.5974939771323945,0.764429297021854,0.6506559527138095,0.5622779501988425,0.5640670804217223,0.5991257080804315,0.7166940546334957,0.6094589411484931,0.6095306581327096,0.7119560317510706,0.6485583756235889,0.8298304410118117,0.6682334212477796,0.7312368194415957,0.787331558455102,0.7785537531585921,0.8853649566866377,0.9367358507924334,0.8490942157344545,0.8871935634330727,0.8235514367525146,0.677777453274977,0.6168861976280033,0.5854778517764956,0.5727257584576708,0.5713849984614885,0.5500712417459995,0.5707842933951573,0.6258338738817696,0.5481403346212046,0.569063938231965,0.5639067990949923,0.563432801761927,0.5240204572775428,0.5322434599262321,0.572893701680071,0.7898609799622267,0.6933004502889053,0.7500580537962422,0.7674220310664689,0.8949578330336551,1.0075263290788412,0.9372720872839172,0.8724241382557729,0.8320762613802866,0.7734685030998395,0.8043108897828786,0.6513978874287042,0.5296429660625024,0.5892030876614268,0.6058407108739012,0.8960369711388233,0.6272383532975163,0.578793775082373,0.603358265556862,0.5803709370335576,0.5807534873986138,0.5934795072350508,0.6223253464267975,0.6046617045870423,0.6992908180557309,0.6501506300398193,0.7587757153254139,1.0582194787331973,0.8075281354721888,0.6798462736445834,0.6400282914157442,0.6690078333034817,0.6361026503264504,0.7069758973067796,0.6721916422703749,0.6559327126536678,0.64834998185986,0.7008224439047055,0.8888258918650537,0.9729817577206813,1.0096322078410176,1.2837467844683796,1.1858343460903973,0.9744426411260213,0.837446904750548,0.7448370205071208,0.7524559445145693,0.7365550225508333,0.7157770900647409,0.7362384715814152,0.6897157966198423,0.7680187704358356,0.7585465859954692,0.807806537987022,0.8404733781145889,0.7865013641443136,0.8963737806402848,0.9838507041370181,0.9357112419864752,0.9734051813158159,0.9388066297132343,1.1416815472977844,1.3316449831105268,1.2747509319838348,1.4128333127946946,1.1583441123684093,1.2292067831401072,1.1918016315909548,1.0904818819291024,1.1706782895856322,1.2233300548011574,1.186228770306273,1.1309012596945147,1.1099920627161608,1.126489203542452,0.994891899851026,0.9133160952575002,0.9750511996241461,0.985046025544604,0.9157082721561298,0.8882563064866518,0.9541565821904605,0.9175835231843111,0.889167836375898,0.8942033008501418,0.932590487818009,0.9357883119826407,1.0442307743372006,1.0516673598902941,1.0651397033652714,1.018784591996844,1.0467741647005928,1.0198112287179215,1.0624286404883705,1.2008628039600138,1.676511029128784,1.4458987355481205,1.2806899105158847,1.321994302635073,1.361070411807039,1.3201619906950637,1.5054676330469796,1.5475433465019257,1.3340790049425135,1.3648754631259297,1.6094753804708086,1.5258366500576759,1.3763466425875814,1.5428204619896944,1.7796900404834208,1.5125483587650586,1.4138782554577967,1.2162744347992833,1.2252448753103968,1.2687145229615098,1.1815974601578172,1.1612550650120523,1.1776194283118415,1.1333107202412704,1.0976841940644537,1.1125669893712622,1.019819816444351,0.9933870282207858,0.972278868118595,0.957197884492462,0.9155146033298449,0.8926743544827892,0.9890529937897277,0.9741940329345906,1.0302125113766942,0.9838422390977655,0.9900446109678988,0.988398212946929,1.0405875017116075,1.043926870776981,1.1507366825000944,1.118319051559896,1.0050538225408463,1.1217184507904547,1.1995733790180099,1.1104146479150527,1.122457888828214,1.3688390898794682,1.3865613298781239,1.1517014777105,1.3426983311715996,1.5887213983356478,1.5798971558723147,1.3054127720487456,1.0964251166703873,1.7592165791307173,1.2105907838650085,1.177576593838041,1.043112219979102,0.934646836407543,0.9896088239294468,1.1404434419470926,0.9856464564467036,0.9146526596139155,0.8455237287491666,0.9731927646215661,0.8977914048569113,0.9743507450646098,0.7701664147700472,0.9808703472451771,0.8071162800647276,0.8462348792471369,0.9261330767416038,1.164890944627278,1.0725396765850141,1.0435692210280836,1.720974674811899,1.9413709794497476,2.2161855341025527,2.074743378203904,2.7175661317164246,2.6383175040168165,3.580127516639732],[1.0125174670427861,1.0096098132670208,0.9965296111081793,0.8639442984224267,0.7209153430194982,0.7450302816105772,0.6585311225268411,0.6780866125047504,0.6638277965289088,0.5823746966678139,0.5780630790678316,0.6505952485362123,0.5944248739410264,0.5913322547020886,0.6184057602877254,0.6294155350227986,0.6226542211393536,0.6188903116355321,0.7506427669951207,0.7056816317615444,0.8406110236668546,0.854429016802037,1.0882942905009136,1.168983389730324,0.9922031446412872,0.8469492755266672,0.6908242062987058,0.6420618068888568,0.6296852860458099,0.6293248319642607,0.588829910504822,0.6359157694644761,0.6232671871328079,0.6134030550887957,0.6268654242179834,0.6326106387201981,0.6312862476379756,0.6825240992736573,0.6927372553537464,0.7947693557741652,0.7429065666428557,0.7497283798166671,0.8356793210690957,1.0033399839495856,1.5007350067766905,1.7448240151858927,2.2091911135220856,1.4139895487951042,1.1556818387924563,1.4950082286252826,1.4923798997891107,1.1767601666716272,1.117721371655668,0.9499785063990526,1.2553953199743515,1.0083871085912564,0.9931097342659125,0.9924166027656218,0.9077423525774787,1.2931633345400895,1.080889561548881,0.9690613376064796,0.8296053392266818,0.8942548448446906,0.9314689762955243,0.8388183832834667,0.8648931663636991,0.6926812768304589,0.809892224623234,0.7574728869835209,0.9086329569733789,1.158864856033422,0.812242746873831,0.9832333908927653,0.7163645521093543,1.1362008719401933,0.7211201398432712,0.6767582013046538,0.7409607359571871,0.8223461294339653,0.7011257297696871,0.7884005254527789,0.8854922367397656,0.8808004935663093,0.7612542182630198,0.7017587722744879,0.6966022743990609,0.7037944250678995,0.6695811962763805,0.6457664701069106,0.6495565017804256,0.8084314010507351,0.6772337177988018,0.6141590148698387,0.6129124448969573,0.67095466289017,0.7943771226541285,0.6423085045717615,0.6475899434814123,0.7639025513382112,0.6620370201455562,0.8286471258586965,0.6520868858420471,0.7244973495316118,0.7833151126234933,0.7647937914228365,0.8790817030295743,0.9326416365864143,0.855286433602766,0.8833999279751962,0.8215058379077516,0.6618751318950152,0.6352301925074565,0.6081893569188488,0.6146702073961398,0.6319093251321005,0.63083730082519,0.6995747383045798,0.7739445195770565,0.6527289089005558,0.6746096888350027,0.6359940388941643,0.6462849828347172,0.5745946244130187,0.5610252507071952,0.5786176800976186,0.7428262103237612,0.6756436296452758,0.7300847538134857,0.7727536683940645,0.8749622698638425,1.0021853176552697,0.9285052970031256,0.8697449782300605,0.791016614425941,0.750562813208766,0.7690689328099839,0.6217025123304547,0.5664538324071642,0.6429374271264918,0.6927106209784497,1.0362186785199006,0.7552150288624204,0.6566730395263589,0.6575205065543768,0.6334201464980531,0.6356521460504957,0.6356456236852337,0.6421506453609805,0.6273727451866802,0.7077610536343618,0.7025934587404287,0.8059052181408303,1.075638088606887,0.8439259474851237,0.722260692108046,0.6625503743561268,0.6942148728294925,0.6480168410556252,0.7182160604768464,0.6835455305891774,0.6745220210771318,0.6744002473329515,0.7139089270818085,0.8766758149825773,1.0313147410371972,1.0048237745580129,1.2726157288184354,1.1571153961062113,0.9402949275673376,0.8100910030380891,0.7219864267553128,0.7329160111387336,0.714856804623621,0.698218717230805,0.7252625177510336,0.6690701458221442,0.7677532799866013,0.755821019036945,0.8027798182786161,0.7983797739520129,0.7668974749200366,0.8755309844775738,0.9658625670964269,0.9075305674820751,0.951765578218704,0.9428412341282066,1.184288162437887,1.3228840231461452,1.287465165971672,1.459836859431746,1.1504753098443739,1.2305659753522638,1.1919057979258894,1.1137852705874653,1.2097625744935794,1.2546958133145258,1.2062752458304427,1.1569712780426042,1.1191651614434257,1.2125392422673187,1.0889815663264701,0.9718950298025478,1.0694244713033974,1.1170696212616538,1.028530027806549,1.0105806222792522,1.1110538330542294,1.0964473439549924,1.0396062315668788,1.0853619804702932,1.1622127703355989,1.1091773320229874,1.2208278334180926,1.2583441924593155,1.263105857956996,1.3027743903743547,1.3305324396995768,1.2505506142319738,1.3246452222133132,1.4669765940739952,1.9534896562597934,1.7512864597456654,1.534919694916388,1.538680899387508,1.571388598634261,1.4702243976768536,1.7113862588834783,1.7342818613963573,1.488877256550984,1.5137181098961787,1.7837697695696422,1.6617193521559035,1.5016654915491128,1.725713094441302,1.927841504899349,1.5921166964228215,1.4848796835898885,1.2959370879696261,1.3008881371185963,1.3720232023868233,1.2977068096322861,1.2862125549038939,1.3294699358097772,1.2283967988725195,1.1919864707248524,1.2612163617236267,1.1551106448318365,1.084352802483421,1.1036138664559936,1.1138762834884945,1.050957157553501,1.0464635729708573,1.181459622895114,1.1635452643028332,1.183808639628611,1.189534275090694,1.2189668476622546,1.2208738864139301,1.2799230874362664,1.2533994511407585,1.380135866345,1.3556914227010113,1.2062289946737332,1.3323694744796462,1.4166233035852225,1.3359446533014654,1.2897585164644632,1.567358883228315,1.5559085220654614,1.323874913074402,1.4663038886625153,1.7987947977121443,1.7543172847962527,1.4662660160330812,1.265962726153473,1.9066383655304868,1.3741830512271829,1.4600261434536264,1.2263161879131546,1.1033314535822991,1.1124121757704113,1.245411790058633,1.0848050032141454,1.024511106904214,0.847693362147061,1.0292498004350727,0.9208020226066108,0.9730912966313526,0.7686564666761413,1.0009200418243045,0.858014882176748,0.9365578852061366,0.9976872091934537,1.1978970899623058,1.1802847688807283,1.1340027005225795,1.7413587311387482,1.962345599025906,2.2128849642441426,2.08414002537889,2.663791593667243,2.6220244437647753,3.5807437536703275],[1.0337061140491275,1.0300132333870327,1.0303014939926796,0.9214811882332073,0.7941981202353697,0.7746728860363519,0.721668440364413,0.7453564823927987,0.7139280858566521,0.6560411569551527,0.6573017634465133,0.7227004943258656,0.7103365356663913,0.6717567879251228,0.7098413530992974,0.7463302847755576,0.7056284994548969,0.7438304345350135,0.859425560575233,0.849786798137635,0.9675202537789571,0.9859724781351007,1.217143962647573,1.3070276740333993,1.1287834469553184,0.9828472139515209,0.82149191060833,0.8057700543155896,0.7708276452678755,0.7596930727323052,0.7274621907233813,0.7658747507694798,0.7559984006568184,0.7679093057342194,0.8055094367181269,0.8022730977688175,0.8295313339034549,0.8716757618056991,0.8892573671756621,1.003463995140182,0.9506489179950989,0.9199414612686511,0.9903009973833174,1.1503428020041695,1.5614225720998813,1.799223201385421,2.2229022796336686,1.4893508033555218,1.254346316988581,1.5814887614226822,1.6289340518505637,1.3013253340008175,1.2495512119108765,1.0946473635961937,1.3887865987166843,1.1668295159850155,1.165980909496312,1.1408080650664585,1.0894650631555267,1.5002460174704944,1.2285369403650093,1.1354468271773583,0.9831959952255998,1.0004793318619543,1.0833481440596067,1.00196470579752,0.9474349385967831,0.8013518481213544,0.8735228995565809,0.8132983008205791,0.929179453252827,1.141391491401105,0.8434648590273057,1.0206065404471476,0.8346489177215491,1.1049956322735077,0.8920517173088021,0.8569586015821299,0.9305383943259995,1.0215189916269918,0.9022868255890153,0.9998497869162888,1.046496315214186,1.0437925979237512,0.9425841855356251,0.8954790641241399,0.8964158386457683,0.9011640565680175,0.8598093060837713,0.8261182977135567,0.8097493241742582,0.9222661417951928,0.8124164098044072,0.7400813990386458,0.723298935587309,0.7504298961554764,0.8676976371212191,0.7170751589265668,0.7310698437972217,0.8508512846406263,0.7797455149129536,0.9227227956206374,0.8027603786365414,0.8805675527161104,0.9430599471650739,0.9057923018946524,0.9841909722340941,1.0301653409162908,0.9620312396490537,0.9871994327016462,0.945727910499483,0.8014323717016609,0.7410723706783476,0.7176748541790541,0.73483674915435,0.7508878066401109,0.792350206922201,0.8048596231867098,0.8569650335713641,0.7591089347897562,0.7629087733051176,0.7378941031259368,0.7334379318851562,0.6783326429949894,0.6546934363336837,0.6945504810451987,0.856986848206117,0.7929553292163484,0.8517765930228386,0.9206569072378332,0.9816120389875976,1.1181994427193378,1.0725596699459217,1.0242487379374186,0.9424592470505082,0.8737847217366704,0.8692400804444023,0.7582394256953683,0.712647850899613,0.8178362174969739,0.8836002186098335,1.1107351445482372,0.9118020920725414,0.8312054317733008,0.8413973915538385,0.7995344923095776,0.7906535084337843,0.7479928294169821,0.7653692940192759,0.7452791923591222,0.8174015247119715,0.7814435106725536,0.8978582255770898,1.2082097199775035,0.9114197749684264,0.8163303866538473,0.7772753663287477,0.8097931750110132,0.7770765963235307,0.8537521173500213,0.837781824375516,0.8479311582509249,0.8599107298129126,0.9148792411226526,1.033234785184789,1.2056141650200904,1.1050226746679581,1.3313718511127457,1.245053821666109,1.0382998742691314,0.9649781401172906,0.8915101876378192,0.9174882822263493,0.9047194306125198,0.8856644690602313,0.9022464891744699,0.8397595307029512,0.949379551967537,0.931634613171065,0.9803285464914634,0.9723097088172591,0.9302803561039615,1.0347646570501556,1.1327457139111285,1.083053081448208,1.1040417873212156,1.1012852683140977,1.3069910749125817,1.418438066121312,1.3738551290592471,1.526885931725021,1.2880705509816315,1.3556087617270913,1.3121214025498968,1.2507710158004302,1.3463276085366795,1.3917037095233922,1.2933886567199813,1.2143122024296278,1.182022224046157,1.2664682637558036,1.157493208152993,1.035131210472599,1.0981976447791983,1.1381119032775575,1.0564220600236958,1.0331473519734817,1.0947147638140582,1.0896720781087041,1.0402833572613728,1.0503944111205015,1.1026449432227967,1.0644303793111594,1.1340779264614205,1.1701262433294874,1.1780180148378687,1.2198560832840248,1.2545565930083842,1.1768172484267834,1.2491723777819073,1.3956438585445152,1.8668107408098331,1.6821773391242014,1.5004033210845835,1.5231894480259924,1.5834616042602399,1.5044304645567719,1.7500286189281262,1.744376678021697,1.5207433302601825,1.555493583049697,1.7970841357649858,1.6508170206591044,1.525655351131894,1.8145106943760945,1.9513262808521852,1.5929900165427355,1.5608780979543453,1.3371912163795536,1.3824305056160968,1.4306228383651696,1.368231128728626,1.3609350706686567,1.3749051888373844,1.3262139178552403,1.2782554793354863,1.3047916536931108,1.2297744606861134,1.163370730372451,1.1486116513307598,1.1496093746449236,1.0938989326409028,1.068257875630877,1.1798987816809796,1.1399910030726628,1.155543957864653,1.140500950489913,1.1768024124007654,1.1780710190232,1.2632590733426932,1.2704973119537426,1.3901136350683263,1.3179876656275422,1.1796247931648303,1.3368487283699744,1.3883236206063156,1.3047943414905825,1.2813189097238369,1.5520445123987865,1.4868353482992047,1.2695492676476436,1.4554141688472704,1.756606706563144,1.6262165645416884,1.3604727232097462,1.1848965460050371,1.863303962354855,1.3074345966555196,1.4350930255713132,1.103141980101755,1.0323834023633558,1.0069077770004098,1.1169326176165637,1.0225654303922964,0.9816685139613113,0.8975287045788669,1.0377731334562326,1.0265119682920691,1.037235682324852,0.8660177677773816,1.0414603207143835,0.9576187849849029,1.0273057973125765,1.1805638433465735,1.2793823324781324,1.2436766921920053,1.1503395339160862,1.731672848399087,1.9589011974908612,2.1213078074878013,2.0022111199005614,2.468684872457297,2.5117183940195478,3.432886100114424],[1.021131608021589,1.021937164440128,1.0126439586939764,0.9258189948239285,0.7646344279972739,0.7625284710523043,0.7022006006447803,0.7205242994939439,0.7081195772140236,0.6456352907807523,0.6516877581349882,0.7021565387380612,0.6720414692558162,0.6444629946010733,0.6693612303923824,0.7118484576876096,0.6496289015057775,0.661036518574081,0.7337053657108775,0.7246054794355106,0.8199329024277644,0.823904442761815,1.0432732732271668,1.116286799473685,0.9727766051348113,0.8321680440204008,0.679779778766028,0.6866607907624963,0.6834925871215437,0.6837740434452552,0.6637726039650603,0.6961203212581909,0.6975018552793747,0.689118957977158,0.709582811753865,0.6888493623522255,0.7263341297922522,0.7445188146873727,0.7642797562846793,0.8611796134826634,0.7878480907599416,0.754766295609161,0.8170885093645499,0.9968777815352533,1.415102878736505,1.708325029577468,2.103224822528265,1.3296235459023436,1.1623998059453649,1.4311628742877112,1.4590479297130095,1.1497887808082492,1.1303107451320737,0.9669808889901029,1.2724869398938132,1.0244786204123444,1.0243524042403047,1.0136615487419347,0.9700910183082859,1.3209364649704392,1.0920499915598052,0.9984729838367143,0.8625202327412322,0.8950757130004922,0.9335897419641448,0.8677959022957417,0.8671754234259282,0.7006862293385067,0.7951083101067792,0.7563988243625154,0.9084624529723403,1.1168232446714217,0.7908167247347326,0.9584588952468759,0.723876245421311,1.0212184625311298,0.7612818898571864,0.7393507078515605,0.7988550492640857,0.8582663596806832,0.788587858091124,0.8633240798040044,0.9453000999139839,0.9130659405769299,0.7996884353947176,0.771245916768275,0.7657875742582871,0.7751498108585805,0.7319404332970002,0.7413596059250817,0.7175902876065342,0.8424563821201322,0.7698825006119815,0.6801656456327309,0.6768442617725668,0.7052955336454805,0.82165590091397,0.6847732504973504,0.7030133584398609,0.8278140623948111,0.719171822049254,0.8879762879674705,0.7359990456577262,0.8170518230818986,0.8426117541146609,0.8259878848148415,0.9082702195166407,0.9586925072435364,0.8840617895203988,0.9133405936221348,0.8876361537710021,0.7316356732927272,0.7006396416984838,0.666607622914027,0.6692762989711724,0.6779604936286867,0.6923840310969517,0.6984509838124612,0.7515154662716231,0.6788534500253935,0.6862125897283938,0.6821394692294925,0.6862007382488639,0.6165504040087431,0.6211111584817778,0.6480483232245099,0.832006042558874,0.7255512330813622,0.7827961575410808,0.8249272728681777,0.9148492016348477,1.0485519817900444,0.989971593815924,0.9374713258894727,0.8525644744557085,0.8069704875048324,0.7888336446292988,0.6664515665800461,0.6167749124948825,0.6853066453747246,0.7052148120937891,1.0276486054663982,0.768083143818922,0.6988862555771919,0.7003711710058509,0.6890949627702292,0.6881127249259968,0.683800128237389,0.7121175210374654,0.6984445566189987,0.7633606559598801,0.753244101226549,0.8599322831088377,1.2046328765619798,0.883738925625116,0.7922905070492801,0.7318513891970369,0.7634332820864125,0.7200458714014608,0.7868981352782086,0.7590147793745918,0.7430360822747886,0.7286028398203815,0.7687032703062291,0.9039980073596983,1.0656351785824698,0.9890771556252174,1.2438109377265054,1.1724615123903674,0.966840407965641,0.8426965898419914,0.756440196882356,0.7827241968517729,0.7731769949264803,0.763256630543868,0.7948143605292449,0.7391581233530207,0.8491178963651357,0.8070190168366973,0.8757971133247109,0.849940083231428,0.8292883290386402,0.9213373928813838,1.013601557683429,0.9633753276158514,0.9722494891924462,0.951673545887399,1.1666360216666827,1.292550971149657,1.2309783716753886,1.3980628459291258,1.1535058094032726,1.2572988931055118,1.2268346255894296,1.1519689077353892,1.2490791455065395,1.2876057225363824,1.223910375221259,1.1630061717969054,1.1292505063920122,1.1961499992474702,1.080347204294967,0.9697602044700037,1.0269190458380524,1.0514962034390227,0.9795388046558497,0.9583244490435443,1.0003402379841388,0.9893776183061028,0.9473048099043692,0.9446638710372507,0.9797062445915176,0.9600108897556308,1.0419049240389786,1.0500102213141067,1.0757262616606746,1.06435611377374,1.1024639331001462,1.0405699784862144,1.1057068535295613,1.251921662849132,1.6654903183736653,1.5644901600838748,1.3432761278554626,1.3935264906802232,1.4454243238139985,1.3864969411339043,1.624723948352351,1.6091765576824038,1.406078625360639,1.4472286140528545,1.6816058477999438,1.5652762858744094,1.438495030951549,1.659016186741126,1.8372145656419323,1.5402465021324927,1.476584126665334,1.2734310502228192,1.2991396718218373,1.3514563284283776,1.2686816809225938,1.2637171235956823,1.276050446255649,1.2323721186172318,1.1928847075936924,1.2141431436704297,1.1397334439610902,1.0842150359489537,1.061160874304982,1.0521807304956832,1.0015837804505983,0.9766993676698358,1.0784776272809777,1.032900439011868,1.0537601177156553,1.0280654720585602,1.0514491636585337,1.0565383509102684,1.1339989833397803,1.1594061402122686,1.2656544399551262,1.1847938916034404,1.0668472263661786,1.2266192152924258,1.261567826896591,1.1744563782807533,1.1831931423641424,1.4300199814265755,1.377864357778958,1.1800125007758897,1.370877963581443,1.6260033840242831,1.541136725502235,1.2866367357787467,1.090140380234236,1.8093143109739238,1.2807685035928194,1.3088600461405362,1.0132719214397863,0.9385770615166111,0.9409653831872923,1.0632473360348849,0.9665299070025961,0.9148147033689706,0.8287944218251644,0.958151753629685,0.9740985027040405,0.9821471084450389,0.8003111507600872,1.0110327696083368,0.8794683640444657,0.9430544357653544,1.0939928197970346,1.1969910250574283,1.1496347125214592,1.0546276512935118,1.638924101383969,1.869067061081364,2.0283740902336733,1.900493110722089,2.3814417733216318,2.411585624493998,3.3822176100716823],[0.9982455636413068,1.0049427559912079,1.0056784317586693,0.9383849599355956,0.7607021963291896,0.7431515156146469,0.6919653737541104,0.7049341678961837,0.7037900528823835,0.6533657568266721,0.6624677187544092,0.7269010296841818,0.679814583915476,0.665376269728726,0.6840213558674074,0.7313538844658065,0.6702678802790881,0.682915914810755,0.7418468113075,0.7391887878076471,0.8158874969770867,0.8173746910130174,1.02366143224966,1.0847713748162653,0.9635948488182282,0.8277301983772124,0.6780943705687293,0.694449141350859,0.6994075490482409,0.6843107116296391,0.6825587285928943,0.6918614751004079,0.6989661112139487,0.6938517562487049,0.7096264692601663,0.6947189890920913,0.7214703018839275,0.7390022711355578,0.7562390595133025,0.8298591742939045,0.7562865621562224,0.745646598467474,0.7758197280505814,0.9434594465695877,1.3464379196154483,1.676373864627113,2.030516472797991,1.2569664911808933,1.130991147672984,1.3605362560165206,1.3796492712399506,1.1040319643332297,1.0886745738435943,0.9261493963227531,1.233640421405463,0.9953770867303506,1.0104573525564309,0.9668385631669998,0.9370880518610989,1.296044609511127,1.0674772025065868,0.9843964342864164,0.8563157450629735,0.8919417206922808,0.9123459982610446,0.8592266427148597,0.8709398413457193,0.719107928625008,0.8090888088550031,0.7715641468673352,0.9104895291208218,1.0952372239447015,0.7934093485304641,0.9539343769628098,0.7486663132584127,1.0076466912223117,0.7714634362375667,0.7453321074721674,0.8049041658854397,0.8472253535512857,0.7521740350102695,0.8188813478326488,0.8854280206205872,0.8571400406391771,0.7483642590219313,0.7398566676485384,0.7434335625847328,0.7632901711767555,0.7358098934489973,0.7425561664516852,0.7252643824651543,0.8502052982452478,0.7914341302228799,0.6894031598503463,0.6856685667949762,0.7211748105520804,0.8348721841862756,0.6948122192683474,0.7051139383202868,0.8127244858436629,0.7001117485531563,0.855721675030584,0.6941188432684549,0.7689918178057461,0.7859334492511824,0.7639249960433508,0.829561304110046,0.8947981576499977,0.8123855418134742,0.8522317629626022,0.8410894300340465,0.6895372926132627,0.6817402537687005,0.6597238351480111,0.6752946252171929,0.6858663205024618,0.6987516467762288,0.7130398908677171,0.7500152032628877,0.6933241173635113,0.7073749430123426,0.7016150446940781,0.7163075460870757,0.6395413272180379,0.6413124749975259,0.6526375448093896,0.8156903744034331,0.6992628635366813,0.7328664870754413,0.7648708073121864,0.8475289169559949,0.95896121879451,0.9200564762788435,0.8625840681641792,0.7940020410385213,0.7808386134904212,0.7490869123307282,0.6648735806866575,0.6257643147376227,0.6750683692706481,0.6879465908118075,1.0110329032985559,0.7628900198907725,0.6998518298682505,0.6950002695600135,0.6813982819440701,0.6769972083828693,0.6743591648006203,0.6922141075306707,0.6831178550362761,0.7309472145457222,0.7339577209410951,0.8068073634615349,1.1739100702417928,0.8611672607553735,0.7560343853564191,0.7003878610003468,0.726204232307305,0.6925291901406044,0.7483046228875995,0.7298884536322358,0.7242165588147224,0.7095943205539409,0.7383012187032435,0.869124504278773,1.0425356362248885,0.9606394974956249,1.237237232034617,1.1821271894990826,0.9751310704629168,0.8063543736779215,0.7175904608892317,0.741187972981301,0.7278029504939034,0.7198883047114402,0.747760209894549,0.7052320651052861,0.8068659193171522,0.7629304006443186,0.817709711661352,0.7863430575033408,0.7714064207557564,0.8568814968435867,0.96519470537672,0.9125390652278125,0.9198147484852207,0.9124906254689187,1.1207014071576291,1.2494704525164884,1.1872435112105457,1.3505408516495023,1.121431301899321,1.2369756604028803,1.2009418768393225,1.099989771635738,1.179423751273052,1.2102796210123452,1.126914062939809,1.0616021463494119,1.0413057845903788,1.0599928942262815,0.9602055278844978,0.8709544210426726,0.8967064752890647,0.8980352370330967,0.8568000141009411,0.8291683239493624,0.8508328768251815,0.8331640624185522,0.8093633457225198,0.7951353210982539,0.8072242619222535,0.8027503899736729,0.9014375606476354,0.8925863314000547,0.9267079239585138,0.8669826224340043,0.9261000766973353,0.8577308956283581,0.9130812484063966,1.0295649797472992,1.4252601560001155,1.3423177080209387,1.1133675742963736,1.1827689196709106,1.2308963851968133,1.185372433979802,1.4087213297036048,1.3872830980822546,1.2229081201405982,1.263690972759761,1.4759470863777244,1.3656293351648428,1.2699163013694015,1.4835349580136716,1.635129692531313,1.388958470620846,1.3395771211839176,1.1338455520364548,1.1738758585231428,1.200024171306305,1.112362357852201,1.1267972615677022,1.1061323457380652,1.131000115334351,1.0829710062102698,1.0859443905151474,1.021048290228866,0.9676105392044453,0.9289634788204255,0.9082703520720632,0.8775027638530243,0.8473511619556632,0.9230828412435284,0.88045395140264,0.9131124074077054,0.8702046872703948,0.8691424071980328,0.8740400379225786,0.9465146424968784,0.9916680192814263,1.0733012970173534,0.9780918175173833,0.8883990203063724,1.0304704792426864,1.0394521288384178,0.9673949290853007,0.9969788089869559,1.1961019563465387,1.1424733634696762,0.974239642092176,1.1730486942625795,1.363777423697132,1.2999125041221058,1.102990293630906,0.9406567801174812,1.7234962886857867,1.3174104385093752,1.1655904210614632,0.8757850451235443,0.7911285347665322,0.8272675366791591,0.9626765407293447,0.8621682635820076,0.7874374350969036,0.7256131876136979,0.8354814761243715,0.9588001714107597,0.8987199375836853,0.7496783156941781,0.9503703352382781,0.8046695303663628,0.8527529117867737,1.0478014776108484,1.1234102683415865,1.0253565742129116,0.9306378781921095,1.525130750783802,1.7677715131128788,1.8775236513270086,1.7561756253760004,2.2106090179651696,2.266500300404922,3.3079103311420406],[1.532998930343305,1.5152110742633182,1.39272985365934,1.2978107948882462,1.0912557281368866,1.12592763786009,1.0173517060518449,1.0535061178418341,1.024541913507801,0.8757183842369554,0.888691957836144,0.982260845105845,0.8626529921408103,0.8214768731467248,0.8380761895975336,0.8732061623614306,0.7633264669531141,0.7587194081639601,0.8024372231165919,0.8093246605003177,0.8845590321045703,0.9080431890093896,1.1000126110221822,1.1944220450306942,1.048719437211633,0.9101734514729842,0.7490706666873608,0.773716011807462,0.7836901163032816,0.8055996658807515,0.8021943768666571,0.8509202808711132,0.8774388898278869,0.824696163414057,0.8355380958780265,0.7996469958256807,0.8538070061441594,0.8417689858311185,0.863800314302335,0.9652530942862764,0.8738027246324037,0.8435524245355828,0.8963746880215927,1.0738568115430454,1.4188199703184976,1.7173747679875935,2.066793421124666,1.3631673479293314,1.2432973261722553,1.4836116387956964,1.5525453033994463,1.2205852232145056,1.2216759013676015,1.049010625312854,1.3536838959712612,1.1319353445170606,1.1355908219433617,1.0457057151321796,1.047965443898695,1.4245444411160404,1.1621273999760455,1.0774720634844261,0.9392947113140262,0.9831570022208609,1.0104821092512166,0.9324649080835179,0.917364681810532,0.791794438162322,0.8606697208034142,0.8123214452614557,0.9499662535286404,1.1277696492827993,0.8373002320372347,1.011391438534592,0.8280734569469984,1.034247482368422,0.8568307255022868,0.835086932460385,0.8955439822345533,0.9469147411866524,0.8954566458299195,0.9525924269850704,1.0130533436634777,1.0309230343655633,0.8961147068783559,0.8646139907055315,0.8578019246741576,0.8898437170394755,0.8289252709898991,0.8549213090446202,0.8262247018088529,0.9230051843860709,0.8960609231441561,0.8387611926790541,0.8447996305599693,0.8779372524744375,0.9771916939483695,0.9069186482529914,0.9452769210489176,1.1072483990550614,0.9453052545584942,1.1108877798660202,0.9116045467856798,1.034834370769596,1.0289148804941004,1.0290562942447365,1.1193459289861802,1.142148428475683,1.1346562874786583,1.1437847712068163,1.151542091815128,0.93535845007401,0.930727313595103,0.8290904173112356,0.8058563738141793,0.7778035883574378,0.7902963500632053,0.7537026301308993,0.7954589306212486,0.7605271378817842,0.7668738514665234,0.7875363683838777,0.7911298119096989,0.755815213306711,0.8368787159501436,0.8241814658315666,1.1171264247934711,0.9274384080845416,0.9907035857372782,0.9812436754009217,1.0463653030257878,1.1903476992728217,1.0985719653661286,1.0815939141650215,0.9605671055381677,0.8827016623242914,0.8466841838059694,0.7400118854784132,0.7013358354111318,0.7477606737047618,0.7902341996108971,1.0703446971215966,0.8374502286800702,0.7717717087742179,0.7807415847816019,0.7705047182051409,0.7735119042416646,0.8027692166940874,0.8695127165644173,0.9239969252979091,1.0463044811487658,1.0895438914781908,1.1647333793359385,1.5792586066327288,1.2052296252615933,1.078238720328559,0.9748494890451226,1.0153290810156324,0.8986809284718134,0.9692956294668816,0.8758280603198537,0.8502489986368474,0.7993176462437753,0.8675123692268837,1.0071069282032163,1.1399177095583368,1.0752604129518033,1.332800677205572,1.226277546739193,1.0159246634398653,0.9001604428426708,0.8133985736031212,0.8779964609473264,0.8891106748767256,0.8967802392769965,0.9406864987622499,0.8743488898918104,1.0257708996010555,0.9468562145174654,1.0230687641912735,0.9624815109545,0.9682195372058849,1.0646948696050864,1.172828652733463,1.0957312004220845,1.0782445713607927,1.0314016965535762,1.2612296278272963,1.3452497985319407,1.298802740706189,1.4684242883747487,1.2337104163042587,1.3422157698241455,1.3017165217347653,1.251624280063308,1.3586889967574027,1.3601051525478443,1.3357469753331246,1.3624340924458163,1.3511355191749046,1.516665022044287,1.4459314502334413,1.330513714132386,1.4459925373072855,1.508205473526089,1.4526850447478232,1.4370685818834363,1.5434725770515887,1.5359377259351195,1.4790865658329424,1.5151273682274022,1.5554414900703466,1.5139264368676915,1.5548720206152267,1.6033565481452963,1.6208417671288837,1.5990815799829783,1.6462875598678013,1.6067299618958077,1.6624325259702335,1.7252422098372362,2.0315090195766,1.975046180711022,1.7359930503571626,1.727190210730492,1.750054652077333,1.7001165052708425,1.8908327744366347,1.8552933114429335,1.7179422661134924,1.7107734550496616,1.8831784630638984,1.7901108355806084,1.6636768178853076,1.8279267032652298,1.9860107640572424,1.7360719580538777,1.6050072175535284,1.5309256391592856,1.493252407859374,1.588655544540088,1.5980057719926086,1.5816667639691169,1.62939945980604,1.5689646405091984,1.549595560218781,1.6209137776975564,1.5628364192627797,1.4742956309256476,1.5228121135489245,1.5497700982318712,1.5121238412849622,1.5095760912854816,1.6276574703266262,1.5936081660302317,1.5613519758545105,1.5931977929988284,1.6267096590307104,1.6236557039325976,1.6467413378282867,1.6324837450406022,1.6751051734522038,1.665310990522859,1.5844573602653613,1.6448903797204568,1.6901922997093202,1.6414892960763396,1.5985315891909293,1.7584743507984681,1.7232651622133515,1.6505416790967422,1.7017789876596876,1.8775271866361618,1.7944407809304348,1.6958474111303197,1.6090157295093184,2.0666304114771594,1.7131068182961742,1.8013501415544575,1.5841694914927726,1.5238221481112584,1.4764802096721419,1.538128051517453,1.4660219938992978,1.4804822085808296,1.3641712875641159,1.379194174252193,1.3059035400391725,1.2413278805687094,1.0691488168943286,1.364151018066425,1.2546001367696318,1.34416730375097,1.4896303109944107,1.4462200102765936,1.4834366106798247,1.4160421380880024,1.7047074766198154,1.9234302699237622,2.1118474168681187,2.0042991228319442,2.3561761652069024,2.49986370833626,3.4214060919078717],[1.5706437993432607,1.5798079384517332,1.5254050930545815,1.4644888342820317,1.304050723139978,1.3083667276627386,1.2169036160208493,1.2249299643309801,1.2229327656514855,1.1197410260910547,1.1242651685451353,1.1997663810525985,1.088449143810338,1.0764148872870134,1.0712991685070072,1.078528033175115,0.9861159038269234,0.9866814039589206,0.9853651078162394,1.0181309498126123,1.0492639666596268,1.0457592999874623,1.1965989257731575,1.2741359568644683,1.1632292932937025,1.0677254597150065,0.9422941307772407,0.9867486708607637,0.9964765583265836,1.0082731092691515,1.0260611487431277,1.046873854290584,1.0825707340743491,1.0371852726452686,1.0390076692822179,1.0083905070018904,1.027217279763615,1.0118563071336024,1.0315146310263663,1.0871983332297037,1.0098338298400458,0.988832273455468,0.9943601550008206,1.1287585696839098,1.4018594420056385,1.7142978435621086,2.014382979773701,1.3555817694835939,1.2567367833561252,1.4759127058109367,1.5469853456311453,1.265945717118828,1.281563319605794,1.114781191022091,1.4112130608965443,1.2061723552474517,1.2201724190515006,1.126553361841187,1.1333156932179729,1.4942062716138813,1.2737175018043125,1.213642955648099,1.0877045818391182,1.1058633723780038,1.1499575113189855,1.0860109263419326,1.0748551292071251,0.9953018373641036,1.0667380898658454,1.0330782262412095,1.1706593882190413,1.2995253732509982,1.0624582209490243,1.1689151712551467,1.0563530403583938,1.1421802917986879,1.039142547231595,1.0216036513833466,1.0692405550588155,1.0811972041566777,1.015961045250958,1.0648549794567004,1.121099817187406,1.095693502405875,0.9761881041833232,0.9873546048396696,1.0142856441849657,1.0331600923796582,1.0183583698836076,1.0350329329658767,1.0225075589952806,1.0910610906013332,1.071887496957182,1.0441969487694656,1.0465666089599428,1.082404288779143,1.1799491631997894,1.1057620632279572,1.1334153224890995,1.2695345932484017,1.10480121148376,1.2337382743241856,1.0542478105478488,1.1191904358057612,1.0864615066520764,1.1041362785971678,1.1269560873670328,1.1434873222696893,1.1783880589823836,1.2088912078296798,1.2787898893589107,1.10263499316731,1.1254671025756977,1.054110040817204,1.049828918646861,1.0234414800778167,1.0279600402746762,0.9652818518848901,0.9810317381565025,0.9966270735685049,1.0114879476305227,1.040324770030274,1.0502110135229432,1.027400550470696,1.1035141754746167,1.0703200331755764,1.2854531229133697,1.100552169441058,1.125645700714113,1.0597679268506877,1.1004259887248513,1.1920227820812346,1.1190088240709735,1.1019350754613904,1.024185601166145,1.0276985863801813,1.0025055312266191,0.9559294209035409,0.9448071792576499,0.964290355450123,0.963168121857244,1.172358505211725,1.0008506455030692,0.9678821809927443,0.9606848846077936,0.9771745626866617,0.9920416917289916,1.0187975706092858,1.0601975550255407,1.1200015941431312,1.200105911341954,1.242477980295193,1.259343472816037,1.706776308001034,1.3258113194700312,1.219963799488814,1.1476012910721973,1.1535335959411834,1.0875246032114672,1.1106528710056285,1.0334693620510418,1.0126228315879542,0.9640704998402883,0.9821277848672155,1.0606403081591127,1.2158493268538113,1.0785174566210556,1.3069524220815798,1.2436975656098115,1.0837421965057539,0.9869177192501181,0.9560272510223996,0.971075817635693,0.9804395719988069,0.9907635353199254,1.0304755042007998,1.0114341635969188,1.0989889555591585,1.0097736231933547,1.0875749549468783,1.0124865864150165,1.0327163047033439,1.093064145280286,1.1834669722288444,1.1285821431902994,1.1122244965224222,1.1167240571358863,1.2955530569182234,1.3896326181209107,1.3045075977814244,1.435609101530947,1.2433136310667277,1.3521397800749955,1.3158973593497083,1.2506229653090826,1.3198261724692844,1.3741182846631987,1.309016398850799,1.3120167799495028,1.3082609996455112,1.3988414304106054,1.3566201850787147,1.3075814334285583,1.36231827066623,1.3651440752478046,1.3716781758339267,1.4034316908069362,1.3940473963807225,1.3843551978153652,1.383798078649439,1.3986225576205442,1.3875387867799094,1.389782876052211,1.46194929614878,1.45733106763149,1.479906901213806,1.3806551660189252,1.4077785142733725,1.369890639735304,1.3904726639308684,1.4139955719848412,1.6516894214670683,1.6413978752812504,1.3821048498393482,1.4243903616206508,1.4773584289383688,1.4598792414476331,1.6470155952123662,1.5907141962417475,1.485027925548928,1.5046537792420407,1.6404979902700902,1.5304220651477838,1.4843826348604132,1.665657672826958,1.739808968893002,1.5513250435051231,1.5182675298217352,1.4203302452549529,1.4082652013207018,1.4596580934748222,1.4142580948052317,1.4464616252654596,1.4372194162441325,1.46887013745575,1.4487819116520402,1.470143382149078,1.4542510702638478,1.3898708477604789,1.389569454819753,1.3925399891003754,1.379250592315264,1.3859074908786992,1.439635788387861,1.4129423478347405,1.4135870164330873,1.4020886967749928,1.3813112328376105,1.3879840404588895,1.4010415478037064,1.4283049681208875,1.4312588600047018,1.3770155754613105,1.3656943484236814,1.4050089799809167,1.378131310875638,1.3447951483960416,1.3665020219679143,1.4296819934799658,1.3614282532648614,1.375150227558932,1.431579192603067,1.5248137564333222,1.398993588906156,1.3792404536852927,1.4202427985287827,1.849113287004209,1.6533090366511318,1.5762548600991868,1.4423080691910588,1.4073400757866128,1.4372593946574916,1.5094537069827285,1.4729905602220141,1.4730407601997872,1.486154768326994,1.3616623817885556,1.4776267955041598,1.2784289555591197,1.2152025235633834,1.380620420389659,1.2979107146288937,1.3340009413874763,1.5473964866894387,1.427387182207836,1.393057301364847,1.3507567134020417,1.6125585163711829,1.8265493728640678,1.9073584032829167,1.8109102777662545,2.114119535888022,2.3537319065499434,3.2611843580424753],[0.9898799144506316,1.0090856336251268,1.0807344766505127,0.901302500860441,0.8659884101105317,0.822937888165288,0.7880578616014904,0.8394177986821488,0.8005049787923677,0.7805629290148207,0.7863964561312796,0.9052359351402696,0.8687314882833509,0.8273596961909886,0.8787643491790624,0.9392565534458943,0.9106123502277151,0.938829451974122,0.9723637160468676,0.9925275068636866,1.0358047811122961,1.065196515156014,1.199670264431621,1.2684670664606028,1.1414623799615373,1.0440469844657947,0.9610872239476255,0.9316341856395602,0.9519696457534761,0.957611251152501,0.9396616568339781,0.9701904798691775,0.9794643918323098,0.9791795662146929,1.010062315206205,0.9800709534119397,1.0145735570402434,1.0208805179135876,1.0284061128676583,1.13486747495312,1.0668209073250952,1.048752009056446,1.1067527220528266,1.2235940529813931,1.56147323459659,1.8477096762715237,2.2258072332818775,1.5702266519301415,1.4370396687707772,1.6777619836236666,1.7271906750209869,1.4030542917135076,1.4060325736156574,1.3078269254198294,1.5473538396517537,1.3226065090156716,1.2818429043912456,1.26189144014341,1.2353341933567188,1.4684177356550299,1.2776462947025204,1.2346459019157938,1.1197087229272635,1.1133735796272406,1.184647306936797,1.097591305080588,1.0647669074075206,0.9641868140794327,0.9961188940686193,0.9385222824861505,1.067918852823774,1.2417769534082004,0.9684019609654801,1.1285467430708025,0.9872451173664243,1.17665000745678,1.0469004803189916,1.0453580688338484,1.0988475528184958,1.1560754206617616,1.0925090685647008,1.157705288474344,1.216404912141226,1.3211742137305424,1.1640720731249887,1.0608215217348944,1.057687401292877,1.0739372504270635,1.0335498514117754,1.026071205503048,0.9911432665841002,1.0752137260631167,1.0123573489836566,0.9402155271881448,0.9140470320565444,0.8929409849847858,0.9618101846978534,0.9368142640628175,0.9195711836574608,0.9750116954326118,0.9478356095214747,1.074248018924884,0.9887232318981675,1.0321511576037141,1.0881484266316035,1.0398235459377156,1.1512782069116771,1.1907341458331735,1.0669880622677195,1.0606951082705731,1.0079575359929482,0.9101875663076401,0.853893598639433,0.868339474711475,0.8602368081999623,0.8817049023291657,0.8967864747814661,0.9208870321457696,0.9802684752488854,0.891773028568599,0.9002031814846001,0.867290838512058,0.8580597566355693,0.7911552434085585,0.7724598302236743,0.8247080476923121,0.9054107877584239,0.9052900205605526,0.9313910667771281,1.0355691804082616,1.1061001662621948,1.2427035631136547,1.234025777269271,1.2026587346297022,1.1209939958767838,0.9532158496344312,0.9453241120127032,0.8684015567509387,0.8211223734144192,0.9101845087081137,0.9155589853761563,1.2259358783510634,1.0198860702355015,0.9293991084985622,0.9661402469574959,0.9250274474798446,0.9169165220799642,0.92371372412968,0.9213740738355002,0.8469001599013934,0.9216880083866849,0.8954444887881873,0.9942817143422428,1.3563561469561674,0.9929979591401885,0.9731019980292285,0.9089083289930289,0.9377271401883586,0.9453166455890807,1.0327225219182568,1.0185253864470476,1.0254686608686499,1.0016671529188368,1.0710425378090156,1.1897837279349852,1.2634145601976323,1.286697567437494,1.4446719913279014,1.3287196259020706,1.1296875738578542,1.086423316373113,0.9953487507119112,1.076434995962665,1.088023920134407,1.0830338552242793,1.066199595043408,1.0240955417409554,1.1678749931028123,1.142600684973496,1.1898958189916935,1.216804563221467,1.112192047306199,1.20419184194772,1.3089402500916008,1.2651146702299905,1.2891515084098875,1.234252941549701,1.4758228042296837,1.5312187232909826,1.5016843904042476,1.5947280010265914,1.4017600242370316,1.472403447248121,1.4336152927033838,1.402447985001368,1.5170778555038487,1.4385660729911294,1.3877949904882934,1.3003662393344741,1.254111435455426,1.3082832596417318,1.2204607927802666,1.0743587488012663,1.0671341330419226,1.1089800790907005,1.0195679930759236,0.9283316520601272,0.9907380126549008,1.0180799762392283,0.8996086786758156,0.901848259411617,0.9465062398036516,0.8880591780929407,0.936300337787996,0.9881594047949676,1.0340696413236725,1.0005165441575121,1.110106445018838,1.0175047797224148,1.079046040159084,1.2249224513123296,1.5453608525546985,1.6090474738851868,1.3457108034635812,1.4153468844487063,1.5020097207614922,1.464490293565156,1.7342331735925556,1.608759075276504,1.4691862418751522,1.5756803520690668,1.7198837387875205,1.5279561441416087,1.5268124274382513,1.8196115184622839,1.7752685783767093,1.530174929775603,1.6680366517169112,1.369644420101533,1.4840666487761287,1.5663352446036838,1.4356537736875945,1.4991159880979381,1.4200997315160244,1.5048355997000538,1.4290307486744935,1.3921133930671226,1.36633834216502,1.2537531548759933,1.1870851098515403,1.1627188201374723,1.0995115938562317,1.0492798982279319,1.1526473459783222,1.0870633036164612,1.0678330639986244,1.0343234219953858,1.067977717939021,1.0767967617670424,1.2045834358425003,1.2640235216203757,1.3489339601034958,1.2139980496061393,1.1048594037183876,1.2776874845658424,1.242086351338869,1.1560703675535184,1.1744139196526553,1.3636834721534477,1.2275083734725674,1.099525523344678,1.2731526308903536,1.4780414839028113,1.325567006017809,1.203174243543367,1.1013920749973012,1.8475378981052024,1.4987569364681819,1.3881660528871664,0.9735746605212752,0.9041492710123763,0.8858359568507674,0.9819623584160153,0.924484115089211,0.9152851643596563,0.8342637394672766,0.9431264840364466,1.1472783358962493,1.0609293998649532,0.9066173928636917,1.0194233890023194,1.0000573024821948,1.0777015094911582,1.3578396766036673,1.1398585694252736,1.084170397256852,1.0300746769012248,1.395732011134248,1.7134432403235595,1.7461631229029333,1.651006864042296,1.9560525632537098,2.1037514027973936,3.201456356102263],[0.9727278696538331,0.9996937837568892,1.1300190769478513,0.8583500757909195,0.7925296916301927,0.7361664691729498,0.6857085748669479,0.7042569355633329,0.6985284004220373,0.6580975272588996,0.6656895191825505,0.737630022717884,0.7017859741243979,0.6968976847648284,0.7213961415740172,0.7552975318490699,0.705475919465932,0.7401877903471707,0.8237918540558942,0.8085292526873006,0.8886463923647112,0.8723657523069285,1.0609911712391922,1.146633881285854,1.0215642365120507,0.9262227339017947,0.7329789974438211,0.7572039623708994,0.7353546880194086,0.7183391121873715,0.730100936943148,0.7280955131800451,0.7570188238723123,0.7337318210230689,0.7471958222240808,0.7368119084458747,0.7443482546434401,0.778322677797342,0.8005856608127799,0.8418023235872736,0.7980503566555075,0.7898700283815298,0.8053572003628261,0.9740746072223804,1.2997142902915053,1.6292493042195342,1.9088664643134279,1.1988979240380382,1.106602473027527,1.274614088917995,1.3241078982219259,1.0604541033200445,1.0451978485128297,0.9101768793532735,1.2277223159931467,0.9710242543967667,1.0186352202029096,0.9602631569889974,0.935819943824729,1.3202848948707813,1.0843866913142608,1.0196785015944598,0.8968702276826038,0.9359605380980636,0.9816574604666268,0.9004698627937735,0.9259870930872692,0.7770817386522628,0.8757139877662419,0.8006717835022986,0.9781423213008075,1.1368936270844747,0.8486300780866133,1.026494089782011,0.8056305074341638,0.9725112442955889,0.8247685935305276,0.789945420576672,0.844002168162553,0.8779261530194773,0.7701190840590163,0.8182367493640852,0.8938052158574467,0.8629388993562637,0.7477947899219961,0.7388942713584933,0.7657574233319008,0.7866325918695892,0.7812211728611811,0.7706526605562776,0.7773593639382894,0.8984740910029977,0.8242734225453879,0.7294300444704676,0.7201066883327937,0.7308059886798816,0.8479519892286709,0.7116613360434091,0.7122169667535049,0.7965093575764324,0.7389099599555011,0.8562491870432204,0.7131563717588464,0.7710892883159938,0.7724141650427819,0.7820771645254038,0.8698995479112951,0.901426458749449,0.8530802889210418,0.8678957391161677,0.88076769874447,0.7154773904808949,0.7020647281991989,0.6945401401536396,0.7158599854671669,0.7413590229434991,0.7740608857321973,0.7683066032104309,0.8295984728146577,0.7527270979947268,0.7624771779944141,0.755206979380114,0.7663975318387257,0.6741393023115677,0.6584764786390713,0.6744497710195103,0.7665255618095346,0.7255841473554058,0.7650899556988731,0.7638974146754995,0.8388502203887053,0.9029455465133922,0.8437431571951803,0.8159278576373505,0.7704013467747792,0.742022497839724,0.7264628361263126,0.6623716874687926,0.6631298902986639,0.7305514785047416,0.8141684389129887,1.0579761571452848,0.8351562604346368,0.7657956121536045,0.7485106293438614,0.7207888654678083,0.721281198831834,0.7117468552660722,0.7059880515847704,0.6895309655194274,0.7583679553149759,0.736787107541036,0.8533938059737537,1.203846404582809,0.8432902423721368,0.7888455629983283,0.7281018893265812,0.7446824808308162,0.7219310517480018,0.7722637417403919,0.7413249841214758,0.7445468968627424,0.7382072956993954,0.7495343332916626,0.8720908738414264,1.0709839868929605,0.8952624407863615,1.1370672347162076,1.09130899232865,0.9389023612958017,0.7734848159589636,0.7166747472967091,0.7233553439314202,0.717745188488453,0.723831769277737,0.7366986739596572,0.7242588580204031,0.8214150844229227,0.7649274867290131,0.803069142954578,0.7820746714925955,0.7547084204596725,0.8136053956690584,0.9066531734773292,0.8667869767713144,0.8703606856891353,0.8944058347467142,1.063398180471392,1.1953265952456402,1.0957233484657187,1.2047677601138478,1.0051022066809694,1.0803378617620254,1.074708280144901,0.9681815645552646,1.0517414412686832,1.138734573785165,1.0763453637618354,1.079608701455637,1.0581856718157991,1.0793728886895082,1.0119454204449372,0.9098677780159807,0.91969184722556,0.9368359993485398,0.8834508715131564,0.8026163652653312,0.8533389221580849,0.8702589156161212,0.7740442552293684,0.7671428730606643,0.7997707245276159,0.7564790520617538,0.8009895533631967,0.8292491791786194,0.8715494588070762,0.834154483447871,0.9218983022395024,0.8754415924032681,0.9285671064743125,1.0264608332815064,1.299098327306382,1.3355456610164125,1.0586208753421753,1.1472600841894613,1.1980797808339605,1.1588211321155886,1.3662984633715163,1.29747532993149,1.2045868957109844,1.2452178050435156,1.385731581493612,1.2489355801945232,1.2168837513822974,1.3837613570513247,1.399959331467055,1.2925961776678465,1.2789650740630538,1.125706142430064,1.1806516616462592,1.2162939207271533,1.1469767689333077,1.1940224096208032,1.1479774663641031,1.2261504924644386,1.1657364343715255,1.1505852250151918,1.1166954456734886,1.0558377590812287,0.9915750047053878,0.9696761153299304,0.9275644513848067,0.8916949720612447,0.9684277809625479,0.9094896400465037,0.9114402950369992,0.8822873129747716,0.9149483096173914,0.924119881112121,1.0126190086243763,1.0637835197413494,1.1165466314667336,1.015557809114196,0.9422818361089946,1.0572518271803275,1.0279018183993618,0.96607247617978,0.9977824113555797,1.1295854841237414,1.052596289579128,0.9628918793223822,1.0821995299521792,1.2373633498602192,1.170003493119149,1.0839264056121194,1.0009049635625236,1.7320479014162418,1.4758396350941025,1.153827847316805,0.7762224893832581,0.7526085190002207,0.748834833285723,0.780600496984375,0.7516961458162572,0.7202593163897577,0.7016130292014383,0.8712902467907011,1.1488062235671417,0.9198161393670569,0.7957024866681593,0.9108291549381562,0.8419575965239512,0.934975289008203,1.2047499303160623,1.077221445589498,0.9667472194371143,0.8966459968286257,1.3586126269989283,1.65721921898571,1.6350040143131739,1.5473441076578138,1.9315224619523768,2.1270139268318227,3.2788535018376237],[0.7933568629829642,0.8307697078468502,1.0188304519376605,0.7329503347571885,0.6716299554887913,0.5947916198066525,0.5459522346377479,0.5571212835765519,0.5794636680752782,0.5573869648069584,0.5682860674034297,0.6310111506118218,0.594031381371572,0.6150057701190325,0.6338183783092,0.6430099342911858,0.6210344063940885,0.6383955476502516,0.7299520514289691,0.6818480106753818,0.779696699324788,0.7473952742823655,0.9572711092908438,1.0249541812390845,0.899311279952205,0.7942497832175575,0.6150527357902444,0.6260724709158587,0.6188378441729712,0.6126021256896529,0.6183789034300133,0.616505115936428,0.6351936183922131,0.6275995399696397,0.6367147630696086,0.6205793273060406,0.6234224106149822,0.6686079934721098,0.6586151786287613,0.6996641966019307,0.662049272054487,0.6609358756874575,0.7164226407680548,0.8905260823275293,1.325341611272683,1.6540494649284296,1.9773883510725172,1.1953133937744416,1.0489849698014528,1.2659435638573011,1.2552471055808208,1.0263245874071243,0.9771520455055511,0.8384402147537158,1.171614078634642,0.8673925878924997,0.8850715228244085,0.9239132918746539,0.8401438460088695,1.200742808189543,0.9786078916409667,0.909403092055882,0.7792007648563865,0.823100995645829,0.8641394187591359,0.7869726651018359,0.831361440092802,0.6761796241085919,0.8077037660202019,0.74434422027393,0.9382372232949917,1.1475507261033115,0.7951003451041536,0.9625995925324449,0.7119078803190327,0.960628851815588,0.7057416030257058,0.6906219283861004,0.7428714557066229,0.7839343540964714,0.6516165295955318,0.7104131189755292,0.8386412168799185,0.7829110342942704,0.660283367862923,0.6418602709176267,0.6394952714798641,0.6859283181378061,0.6561329417993159,0.6738735776728432,0.6700444767049492,0.8195522974082405,0.7368930567864654,0.6260716378153175,0.6177094143337466,0.6558042322325505,0.8033105540251528,0.5997664976771457,0.5917302331693632,0.6495096555796166,0.625382855122438,0.7161160510572449,0.5965528442701075,0.651319140667639,0.6564868324478828,0.656631904779686,0.7589200844525936,0.8158161942580948,0.6991742315582281,0.7449370330160071,0.7266000886320599,0.5849510479098183,0.571601545075848,0.5828766451983743,0.6215336056622429,0.6557061923115981,0.6620023585262421,0.6814617733841083,0.7332196198557496,0.6584522329257785,0.6992301762952157,0.6870228488930038,0.7012809760638553,0.6069176028536103,0.5637728323619163,0.566523116493363,0.6452566123414303,0.6055846821649303,0.6330951548037198,0.6483548983182886,0.7416279141232981,0.7922003451597505,0.7517797912008869,0.7027768633195416,0.6712383614202246,0.6632097850784504,0.6842472373545818,0.5763354419415438,0.5611264042812502,0.6204133270476032,0.6709916692895993,0.9701691396990776,0.708205547231723,0.636067260654982,0.6190675177602405,0.6162648661572304,0.6260774736475204,0.6230454724719159,0.5876733206165714,0.5715753238608291,0.6089440169887945,0.5791690290081312,0.6735561927933885,0.9640091527785197,0.7096052552464798,0.6277067426410466,0.6012543910370024,0.6061168817373466,0.5995615773320032,0.6397367366417435,0.6228421885620881,0.631104964717951,0.6208829744227604,0.6138068312496998,0.763250737999904,0.9155539948589049,0.8864548783527564,1.1608842996101292,1.1019970560287617,0.8774796088427338,0.695604822154413,0.6103295235091465,0.6122700817180072,0.6111592658227658,0.6060719963704505,0.6183198809343577,0.6043564675123414,0.6841114472779787,0.6592687009630248,0.6765740421161226,0.7078201084303007,0.6564159792689074,0.7390550874329899,0.8417513552499395,0.7934631578555297,0.8209095222449747,0.8123415218514811,0.981883712733389,1.1872219642116828,1.0992008877332988,1.229943195834148,1.0205067612326746,1.0640077910202226,1.0433553622839677,0.8978041884735097,0.9701340420840978,1.0232630983566458,0.9813867970611315,0.947804475619341,0.9470441345466082,0.8918986641843604,0.8125602137733062,0.7279807972120899,0.7162429752752258,0.7117429691703255,0.6748597927386549,0.6092525039071052,0.6437637786530557,0.6415852370527425,0.6134820461173129,0.60296369501715,0.6119900796795895,0.6115227885002482,0.7023691589019925,0.7392671434972105,0.7673625254007138,0.6880518254638547,0.7705269278189714,0.6937015860271788,0.7366516766169682,0.8320714020051053,1.1895695954531629,1.1677146223116048,0.8949289792483609,0.9798867395236867,1.0330104592507925,0.9882266427020586,1.221535646509257,1.1713019363508397,1.046508685635524,1.1061599154808077,1.2926902846405348,1.1548836912877396,1.094328865860494,1.2950427177203991,1.358904377597726,1.215080356085413,1.1819075453829675,0.9756564027711939,1.0687811393523274,1.078861593805401,0.9760604878764747,1.039559422075715,0.98760917296685,1.0653495283492802,0.9837358853415885,0.93874606068874,0.8933294182646955,0.8415443113572451,0.771476046489749,0.7369083012842046,0.7081667521139812,0.6643099804337529,0.7263901969642611,0.6718368241988589,0.7603086899763878,0.6718068358980058,0.6842387754639909,0.6919782705197172,0.7748397118869945,0.8386786962866352,0.8971213264497361,0.7911728198289781,0.714560916565367,0.8475144288929912,0.8328611557851607,0.7745430994691876,0.8091917578207702,0.9839003129398733,0.943128218710254,0.7990158128296216,0.9588769998617392,1.135128688507739,1.1109385740914923,0.9730265105472744,0.8549364244423594,1.6931153424084748,1.4080056195591018,1.0313755505003366,0.7252354432071964,0.6188953740814598,0.6552482653013532,0.7938258742134002,0.6843257926851938,0.630634827830169,0.585453374993069,0.7037432829494988,0.9707730494406299,0.7804198774983498,0.6493362842755503,0.8382477405947019,0.6581421126814372,0.7256018728395335,0.9461865467160704,1.0476506710696254,0.8798527833935234,0.7848170410787586,1.4777808701170239,1.809841345845543,1.7819011831697997,1.6748703803416243,2.246230432088001,2.3097474628997032,3.4897387084193934],[0.8039585545181235,0.8296702387020546,1.0864331728541292,0.7218384885241481,0.7446741602855779,0.5894616752340173,0.5342115188777048,0.543698176222486,0.5670222849931471,0.5430777866194547,0.5518817237831942,0.5985790735357875,0.5498008138202678,0.6022225288597035,0.6102460226637173,0.5963299936615674,0.5665978911200218,0.5876233014546364,0.6815473624801496,0.6132950133040106,0.7000208814123275,0.6579273480132746,0.880624066086165,0.9314266701632604,0.8243888550900687,0.7189842714478345,0.538461255866206,0.5574327694393224,0.5514066052185669,0.5382072466495345,0.5654463415811876,0.5522895858873048,0.5750937382584493,0.5539182699360294,0.5573636864927851,0.545525171784002,0.5395445979862389,0.5638358672952859,0.5443734179378886,0.5864368927297705,0.5399444640784116,0.5581041587669116,0.6218262991642528,0.822350894115031,1.2584825269806041,1.6276027861089852,1.8738920322357533,1.085412731901416,0.9778975801070312,1.1691589321636362,1.1092139725110686,0.9309341375426734,0.880154717151095,0.7419109310490464,1.0804518617388192,0.7469507299633186,0.7824093411215401,0.8642942457655167,0.7527962153585404,1.095146227424164,0.8819918612099484,0.8089712502659676,0.6767455967432507,0.7424063187414145,0.785645889580914,0.6868692586339297,0.777047489438983,0.6166592589333453,0.767382780594928,0.7205075553854411,0.9388969894501148,1.1333093940859011,0.7800799644374549,0.9467212914494839,0.6669880788094521,0.9305380803488095,0.6417923280722903,0.6039584785480225,0.6416595113757506,0.6673930402033078,0.560702779987449,0.6155534237460628,0.7774822621667414,0.7424987125750794,0.6169604618838558,0.5583117552316207,0.5374232915535659,0.6050221165126947,0.5648154020896142,0.5949255899641538,0.5999484471389361,0.7644408562268509,0.6866594137740448,0.5647327602210833,0.576058125021341,0.6258688266918574,0.8062764294846267,0.569201537645626,0.5470049973280414,0.603129051748281,0.5546573268765411,0.6562636938018561,0.5377063657949893,0.5936970975790047,0.6107069464980251,0.6319237905696984,0.7707160381772474,0.8134382343509732,0.6931996985307469,0.7431213919234774,0.6983773992319058,0.5481427699421512,0.5291944109687471,0.5305369086692912,0.581916341315086,0.6226666724025882,0.6331043852766665,0.6363797816575013,0.6955252738462304,0.6234008580756546,0.6722847565920083,0.6692444001727772,0.6931038870922717,0.578567220545778,0.5414403637451959,0.5207381256778206,0.6175481137463389,0.5987073355744222,0.6162142343873235,0.6279938227671693,0.7044067675344399,0.7367014099172969,0.700517742917505,0.6524931820676847,0.6309169181507756,0.5811483429402305,0.6993090563935109,0.5012477237827102,0.49853832730130965,0.5255453347444324,0.6151750745110465,0.8842829486228284,0.6250192213314435,0.551294116232578,0.5145758928960967,0.517529306619531,0.5341978625966141,0.5461160889969792,0.5154447569756129,0.5268415340048883,0.569592428763545,0.5465052945818407,0.6571687417800574,0.9420452045750781,0.694678414517865,0.5888858818657745,0.5477997317867639,0.543784530485402,0.5367811877802189,0.5838179863314003,0.5425368711050962,0.5332148542756576,0.5140975160275005,0.516757498193844,0.7025497455510604,0.8134964192707638,0.8370568929105558,1.113407658212137,1.0912114640044344,0.8823634615066032,0.662187001943945,0.5392041339736113,0.5415093621966521,0.5448087887182246,0.5385683205572701,0.5441092798724724,0.5404826582858363,0.6030312684726782,0.5973895249134108,0.593611970810722,0.6659582561912185,0.6097190081658794,0.6977763957791507,0.7655276958916105,0.7320357765547203,0.7703101872442099,0.7440671274571471,0.8929821700726915,1.150841531981328,1.083718501211861,1.1617910447567827,0.9678626406349858,1.0073681964561325,0.9879858041878607,0.8319264230300879,0.8941902354506768,0.8995588817975971,0.9147851123703182,0.9106414587912348,0.9250994744801266,0.8354670930362055,0.7776324301882134,0.7058972238022699,0.6792111491667806,0.6761986071757656,0.6423692145883787,0.5789601158479777,0.6178182783178605,0.6168060099819626,0.6025184470209777,0.6104641652885173,0.6082663315788193,0.6191226365737043,0.6979160753720332,0.7474293108814647,0.7635030651412624,0.6792469806939871,0.74520304225935,0.6848035356914857,0.7169373953796385,0.7844792410444632,1.139818321527748,1.0841553069243486,0.8488302963597211,0.9088671767819497,0.957995164145493,0.9190616584857296,1.1037658539252526,1.0565029786579647,0.966861766745857,1.032876166243231,1.1908521409529438,1.0427801715918215,1.0055667204792054,1.1968175895381925,1.1793887728525563,1.1063477691250707,1.0944717325409117,0.9137058326031998,1.0259751844347957,1.034143240829628,0.9574250436446673,1.0398083583855713,0.9892159429890924,1.0732755468423283,0.9728207496018646,0.9011121002597552,0.8676360576855309,0.7958912071220744,0.7293797990194241,0.6924061147002403,0.6824295121554299,0.6364907760182916,0.6801430679259394,0.6405274629278628,0.7654911298832754,0.6521038972666617,0.6586397446097102,0.6680107075469114,0.7340073302093382,0.7925100895781506,0.8395425407091183,0.7415724777049273,0.6880631078867661,0.7834357206426932,0.770257748361294,0.7336619977607366,0.7663043277137178,0.9022401385256517,0.8935784983546827,0.7767129337169808,0.8839860096327266,1.0234108572236311,1.0466845821869637,0.9397783448196418,0.8800631025808959,1.6125456106052853,1.465635613910604,0.9751852684740437,0.7431171592891074,0.6416393230947145,0.6751239791949668,0.820139336283853,0.7037533052294516,0.7008602925263621,0.6831986056150803,0.7160450794514521,1.0094956370419061,0.7507859643288669,0.6270561472382018,0.8706311463171429,0.6504329750315029,0.7339951944364035,0.9548347373447289,0.9997105768974093,0.8609564794173143,0.7646170891386532,1.4365114050259649,1.8238601189791668,1.7061229628323473,1.642178901330428,2.2509118298777864,2.3984285758803066,3.6681752174096394],[1.0530588437511017,1.071666459184076,1.2410786375639336,0.9551241894221977,0.9197162848062325,0.8554946973897579,0.8027869125151341,0.8055300413243413,0.8241833480847888,0.7692193781007378,0.7789674193029367,0.841947500421794,0.766289992916501,0.787160233598383,0.7888801363816277,0.8083788107077262,0.7478221604160779,0.7568851760003559,0.7985060272235652,0.7713215579052668,0.8299657364323391,0.8081124261155336,0.9846027819678854,1.0549292749906387,0.9646727229485959,0.8638565936214275,0.7043184626221838,0.7394474310566691,0.7302548522830541,0.7224143169266252,0.767673007975619,0.7508151070026402,0.7839624534302331,0.7334603418020665,0.7340240656470975,0.7288188227413422,0.7385734359578447,0.7346881528086477,0.7463020477931814,0.7578277660071109,0.7211402314128711,0.7243862917118745,0.7327775992196115,0.9143401858274627,1.2390501655192978,1.6170776217344973,1.7894386915127696,1.0693117888851165,1.0316246504697997,1.165470472517957,1.1421206258307286,0.9581225143132999,0.9445791560913593,0.8304792561366385,1.1635524096478442,0.8628476076005065,0.9357975818830218,0.9082924641536246,0.8872378830450307,1.21814059003876,0.9826432042504109,0.9459819695618304,0.8238674836483312,0.8671266766628783,0.8922906476759592,0.8274919993538695,0.8881542820235767,0.7618206379554354,0.8681455573824908,0.822155798804414,0.996353317604256,1.138644346234487,0.860496196428271,1.018808166425732,0.806785340824468,1.0096024207228165,0.8023274150316538,0.7614202834860689,0.789449049923024,0.8031620663009312,0.7013091410000719,0.7526995569700319,0.8620656719424307,0.775440842674621,0.6770557933307678,0.6869988624338287,0.7040142581423808,0.760418682784747,0.7342435749526499,0.7816505329799817,0.7669388546006137,0.8974878587391909,0.8542166843238179,0.7561823764610073,0.7711190231988005,0.8052353006342474,0.9369147356624126,0.7638097941192188,0.7734750660005649,0.8465419639775392,0.7788767263395536,0.8510998397495199,0.696865468619639,0.7418008340546182,0.7070656216219866,0.7279907165620151,0.8032573188669565,0.8343263454228591,0.7873509692379671,0.8443905467720476,0.8830501730952542,0.730365846817036,0.7587095825515939,0.7245434462683725,0.7523967357680266,0.7667533286677659,0.7948705197588819,0.7546917691508089,0.8094167798749162,0.7706982696255594,0.773716248225219,0.7904420106336141,0.7959515860363926,0.7289237983867639,0.7378120299731614,0.7283698979054858,0.8440613377288941,0.7482069385603256,0.7350966570377252,0.6744648011657142,0.7416358761698131,0.7530614043257493,0.6989548814814003,0.6781027930412693,0.6611246803470394,0.7086421302814341,0.6854475911192537,0.6686234967445793,0.6795032714594827,0.6976177161787737,0.7714028164504311,0.9696420391376036,0.7687991284105262,0.7254268622355682,0.6930981989757119,0.6863155452441464,0.6909462186758861,0.7217318144934765,0.7243328427148705,0.7418320873642582,0.7938337681615208,0.8144698054263328,0.8866044241509454,1.2295819031391233,0.9223134287490804,0.8378784751292179,0.7905880844905108,0.7692227873982825,0.7459866111322512,0.7539908192758392,0.7173372696409873,0.7073764116433053,0.689171818846937,0.6782683467761839,0.8043944278724167,1.005489109388248,0.8031511820429372,1.0646338971250795,1.0832930263417109,0.9564573381234622,0.7209030802916702,0.662806653181387,0.6521473426924422,0.6547489626018326,0.6644865131509904,0.6858349209623791,0.7034216167254378,0.7683703157973583,0.697206924222005,0.7093118872765803,0.7074469033775831,0.680870748040156,0.7096406437691996,0.7879220191881208,0.7613289950497509,0.7893887442207209,0.8185517157785447,0.9630681391200768,1.1776487853501791,1.0509617463138543,1.1061227593078984,0.9275202124130975,0.991207928642485,0.9759454221324201,0.8215439219405382,0.8702439979711584,0.9095036769373643,0.9065873903858629,0.9674466167396513,1.0076278130673424,0.9519482605058779,0.9263102840580382,0.8737049955819353,0.864654322174309,0.8615391226312692,0.8639058236172974,0.8048243591271566,0.8226135549390978,0.8442061631455221,0.8152781697824266,0.8060679893465712,0.8149145943098804,0.8039358231525164,0.8208232507372861,0.8478799347331404,0.8747078218910891,0.8263243425979682,0.8829529214033992,0.8434404810514504,0.8797955232608335,0.9054164191259041,1.1951476853159824,1.179314116856819,0.9292045068705342,0.986911949462361,1.0132893775951726,0.9832775044549721,1.1223889783390373,1.0731829450065502,1.026244414373333,1.0524157229202336,1.171562958970008,1.0531067218804464,1.0160553685595142,1.1275003865290616,1.1303884371690716,1.0947845254832533,1.0347433587894075,0.960648597126633,1.0358836875852975,1.0354036960191835,1.0221038115203869,1.0677864965629935,1.0326441232104506,1.1239701725429587,1.0538977977215558,1.0338378306942322,1.0090976206916649,0.9740279304816601,0.9214419969487185,0.9040836471819496,0.896778019487144,0.8692315821411087,0.9085894990640543,0.8704757958200823,0.9340626896581665,0.8734545139803681,0.8793742006029402,0.8697995070408123,0.9171585761676494,0.9547509834984185,0.9623315749071982,0.8978540320231494,0.860787661457304,0.9117497186343201,0.8872110343923583,0.87934336065343,0.8878698765840995,0.9611994817053672,0.9450221143043367,0.8842329862519493,0.9263152376940169,1.044240520997521,1.0682421891297165,1.0042640777097325,1.0032272916279203,1.6386842732241738,1.5455254419908449,1.0846161321960759,0.8030224530130831,0.7921761331055045,0.8199468170840883,0.8456679553156629,0.8071909448142972,0.7757076308601273,0.7694468494264076,0.863247467806475,1.188415043223562,0.902443883213114,0.8247144422681068,0.9667030582006269,0.8550748770437143,0.9154809708629302,1.1548381643432832,1.130592643558544,1.0081287667400838,0.9001829269835613,1.3985343416247278,1.7393010641868476,1.6461094666396108,1.5883282451420946,2.0163500739396163,2.2052830346467016,3.401468739233616],[0.9182619398729477,0.9399752256849901,1.0723577923565333,0.8318409739132937,0.6990654832621469,0.6709221893175477,0.614311831645466,0.6126832106372855,0.6476644336997498,0.613240564194094,0.6234907315767855,0.6809083919369588,0.6230922609468549,0.6278074287774208,0.6320467771618735,0.6596891503849395,0.6194176683933986,0.6309988307787906,0.6975505969866698,0.6635272971139801,0.7276333138797751,0.7191091684488535,0.9057854538610683,0.9545722813012594,0.8768552301617529,0.7622187392919885,0.5978997382768394,0.6161245565335719,0.6130446157498878,0.6059892974807687,0.6381663922918134,0.6189134912191767,0.6401812787882436,0.6305356136043216,0.6299075122467029,0.6277887336228449,0.6259769671206922,0.6490686486235699,0.6546509161552848,0.6901298408542401,0.640405077040541,0.6282363308396322,0.6498111320196125,0.8392472590493486,1.2014373967216474,1.5968823033312667,1.7905689333285222,1.0216009460483813,0.9735828643975535,1.144657918708666,1.108097999567905,0.9169956000535484,0.8932127790463168,0.7647444366104883,1.106907318487412,0.804043503984881,0.8699441958443603,0.8363144709453564,0.8172178166882088,1.173572747059909,0.9162568330775896,0.8714186656233742,0.7290772764388954,0.7794635048606022,0.8207193323642122,0.7452935994160341,0.8035696035416942,0.6606229656000419,0.790381870521038,0.7214459183991515,0.9166497691658735,1.0892930887109875,0.7722221167357332,0.9243431091736714,0.7160813613346217,0.9639035476902277,0.7014304571006326,0.6520170600136236,0.6993405342618675,0.7042793733571107,0.6097487771256022,0.6866248244296531,0.8318302449782335,0.7137624253275605,0.6252435784535878,0.6066793492384059,0.6273164026310005,0.6785319601386158,0.6412568561018617,0.6807041830284555,0.6627991234931481,0.7889213900672388,0.7159625560669856,0.6105717206626226,0.617609897943658,0.6557167765610064,0.7829505201635538,0.6300176723858151,0.6276397014299585,0.704944654733872,0.6389866272335686,0.7666752314521915,0.5899298578969648,0.6396428283174563,0.655541012505146,0.6334973691792961,0.6990364300453831,0.7408413043838714,0.6676888836170684,0.7268352170530881,0.7536972306509746,0.583919143426734,0.5962156648981118,0.600557194543668,0.6333773305882232,0.6557425593147828,0.6800324154060546,0.6600847890376883,0.7253288677518918,0.6539188823264948,0.6766547021576487,0.6780137976743278,0.6946966426103112,0.6125661396964663,0.597157073502596,0.5867444037226669,0.7167696359376411,0.5992290685457441,0.6204790384537756,0.6201297994787235,0.6802709301309551,0.7226314539445537,0.7075753839397476,0.6584815502584213,0.6342501663668584,0.685695768340452,0.644134094466876,0.5959709311135685,0.5769445634501053,0.5880250922217556,0.6462904299589477,0.898982552133425,0.6697734807532448,0.6259914598511839,0.5977652239162898,0.5846552778491985,0.5929139675630072,0.6041253753023746,0.5963663031983579,0.5996269330230477,0.63486216928034,0.6324736652472596,0.7112825611777598,1.0929465598321544,0.762286808280689,0.6602935074172323,0.6267823944964556,0.6312050138456162,0.6119217650390928,0.6106605469078048,0.6076145777076606,0.6030016856202736,0.5928095907794306,0.5984577230922421,0.7552326795697202,0.9462271536434141,0.7808897669012506,1.0512033367931533,1.0703338499528061,0.9229143510695985,0.69423686969413,0.6006626360829251,0.6024933623088793,0.5931218945659812,0.5832611634298969,0.6084802907731443,0.6020834853494952,0.674104671202377,0.6163555606112214,0.6416588024639354,0.6536873473288598,0.6332001451727693,0.7022529415555352,0.7815024273323646,0.7459881328442974,0.7583667644205467,0.7740370561148101,0.9316051558190145,1.1519619000524488,1.0395322124079729,1.1040905526606617,0.9221454589687538,1.0067728094898751,1.000674335371736,0.8536453088729368,0.8994413329187867,0.9085210572046297,0.8477717865184858,0.8470383475880722,0.8760160363866426,0.7900981100782606,0.7397701660209081,0.6953897099597579,0.6786717449578833,0.6626198891167804,0.6632886638786569,0.6224813832786625,0.6301568874411076,0.6270354259362081,0.6302493036990031,0.6285012374000758,0.6308003586249422,0.6328976779121164,0.7135575759750107,0.7449650212647768,0.776241421517211,0.6959242573250504,0.7749047662643599,0.6871194270556227,0.7249489213311618,0.774361193320269,1.1226298450619652,1.0794858182566176,0.8534813675455888,0.869244731666977,0.8918610806779251,0.8503168884954054,1.029941762349454,1.0219007745784232,0.9220133124624588,0.9461270781763073,1.122406130028598,1.0541560577239903,0.9460204121218998,1.0332308934361167,1.195147886017318,1.0893632774975088,0.9869982446651101,0.8546638933274758,0.9111361623849665,0.9093547232859744,0.8344792979761861,0.9074969820683094,0.8730461617550477,0.9557470012461998,0.8799830950111635,0.8287563052048624,0.8014167537634352,0.798582514735093,0.722120807908121,0.6956365937002346,0.6926266748177269,0.6569074911204202,0.700171587961837,0.657799862645961,0.7689671889125809,0.66977825130238,0.6669797093094653,0.6684746892211191,0.7164411973872815,0.7637954512735299,0.7948630520017679,0.7220033136700382,0.6796088252928907,0.7567754260763001,0.7522659458817281,0.7269195156378552,0.7414673507521945,0.8720824865466744,0.9066102245586531,0.7649240263828652,0.8737881196690638,0.989949094064215,1.0520696726157268,0.9335214823050355,0.8814824956791915,1.6145120483446882,1.4946154812959629,1.0258871394582747,0.7324887407683665,0.6468513990709391,0.677064956493581,0.7747423223172555,0.7068879880449501,0.6909154518893763,0.6339188778720838,0.6863061160284173,0.9807633395359139,0.7549785737964807,0.6652692699164423,0.8423374881649562,0.6725266796939344,0.7084604704701786,0.9534467002136879,1.0691982266337157,0.8941839529586442,0.7880108568176757,1.4416196656672688,1.7349643527544427,1.7487956774231495,1.6338143550316508,2.1332312261781845,2.212850377346139,3.3600320551346203],[0.9579900417361238,0.9813598681598213,1.0521460422433082,0.8537646062304945,0.7026883461233253,0.7288048476317461,0.657041901658911,0.6689300137026063,0.6842555024363588,0.6260239412396574,0.6350604700631842,0.720952817781789,0.6516859688694225,0.6220217787800271,0.6341209355347428,0.6874584466529399,0.6315063133208175,0.6438097794068559,0.7041463200633526,0.6907173450739676,0.7466474460198622,0.7526985398129292,0.9255431027052924,0.9795065630583039,0.9054432899966349,0.7774997621636933,0.6237934265102361,0.6382914300958883,0.6469368959644303,0.6488650498347726,0.664797007138749,0.6700545886734547,0.6887629943370652,0.6771363788133518,0.6775155121987817,0.6717719348211338,0.6897471918942499,0.6982610715092097,0.7172622387592376,0.7522317490410219,0.6942757532804632,0.667815449776403,0.6880451010431444,0.8757170257821563,1.2101770401318077,1.5919831827012918,1.8052288762512503,1.0496009082086117,0.9993455047458024,1.181399191244765,1.169495767678397,0.9612271161520693,0.9418436016953726,0.8095282371957082,1.1476544142443297,0.8602788523746016,0.922148141876485,0.8581790243221283,0.8656281021236628,1.2178651370683107,0.9518842754786468,0.9130238369410689,0.7705069250557826,0.8121342417994633,0.8529527100731604,0.7808466423581559,0.8141480058678046,0.6808024146708,0.7857515464318414,0.716991753180956,0.8951203143110306,1.0602445724913943,0.7598975198566847,0.9262123662043619,0.7272620490670647,0.9791283743707323,0.740235832987376,0.7016014072099324,0.7527090898132474,0.7521246756967283,0.6785270185813816,0.7437342692094978,0.8709232342526352,0.7493491581935063,0.6762381093051415,0.6696949339191621,0.6867283120702348,0.745118107068328,0.691387504875989,0.7298045620928786,0.7018203139826598,0.8136754923482391,0.7346694465864512,0.6384508187230513,0.6405834833584289,0.6685734206003129,0.7643514661093226,0.6777349356721418,0.6812966475081237,0.794535178059142,0.7195362429767885,0.862717049099984,0.687001497983343,0.7486441709271471,0.7508548850900055,0.7279796566295381,0.7893549391548602,0.818578208106311,0.7627343731109837,0.8060168725183501,0.8225957666439486,0.6636699857189825,0.6563419436875897,0.644652010287089,0.6442368337688388,0.6519828456954304,0.6837264240538601,0.644457160559387,0.7074366415321026,0.6504972645790036,0.6440428344333463,0.6550908179614668,0.6563640087016595,0.5825541983183959,0.590253873197238,0.6106867879960027,0.7784796627911755,0.6700979532404128,0.7120083163286867,0.7116139667843204,0.7800854541543923,0.8593056907440838,0.8111117393049015,0.7629770938079108,0.7062387446800951,0.755820939549007,0.7102648831346505,0.6340505459950921,0.5801061105845835,0.6075185589154957,0.6359815072981412,0.9146535835475376,0.6783823007744498,0.6462761181819048,0.6373896253390254,0.6230156159919686,0.621334699013293,0.6476823685917182,0.6680320960807531,0.6639107400195139,0.7268376998272751,0.7068459103318175,0.8033511343978015,1.1924205018898688,0.8384208067589956,0.7411215544818701,0.7013137311462088,0.7246936946777756,0.6907211505081303,0.7034892220610766,0.6862931790253471,0.6637639285416808,0.6444974383580911,0.6666841591645098,0.8143207580002407,0.9922399225266265,0.8137440506780036,1.0884408037419038,1.0976142791764651,0.9418609423605941,0.7407273956011183,0.6539289171270354,0.6723813608720213,0.666761764363686,0.6607834767542388,0.6965362303478686,0.6759318557329044,0.7590327944417712,0.692279816235697,0.7398487298899723,0.7126428033963181,0.7087044908298118,0.7771018308845343,0.8577029147578382,0.8045624492202539,0.7911537975398931,0.8056993518897112,0.962927144688941,1.167351062946691,1.0474756729781183,1.117822275476152,0.9452373315320057,1.048905404690305,1.0491536164129316,0.9490058112681797,1.0134807056096522,1.0361769687722784,0.949873366027743,0.9299281483081746,0.9610159099669359,0.9300105167462135,0.8746014420713606,0.820987419578563,0.8315985048351329,0.8113758802010055,0.8192962135084914,0.7807117811665466,0.7854590326114437,0.7686368593929083,0.7424807460252107,0.7229207519491927,0.7408633575575218,0.7284309838567108,0.8121900855410252,0.7944749261765902,0.8289677495807324,0.7685396938160142,0.8227498924781629,0.7750229591110477,0.8065286539142548,0.8716343597443731,1.2090588447478012,1.129922964931384,0.9370816537600599,0.9994272994258743,1.0314286071709962,1.0039596514958296,1.1703236521396394,1.176619573321083,1.049961752589907,1.0641360149029002,1.2497777771870742,1.1880375531612415,1.067278702586741,1.1333486559846297,1.3449901360292251,1.197967503025927,1.0727554374270059,0.9666195009818755,1.0008412540365126,0.992636868696553,0.9329910947649188,0.9666107410476491,0.9833505252253085,1.022662791592555,0.972538890270507,0.9775504424265724,0.9328666093414127,0.92657775155883,0.8621501757104404,0.839187085336844,0.8290163713072503,0.7912808753506756,0.8312348728933208,0.7955798990580814,0.8560836825864514,0.7861184974709311,0.7785401903896743,0.7837709558093408,0.8315002802735799,0.894677581581921,0.926730131412175,0.8431923282426266,0.8026541533498517,0.8876619332789181,0.872965262015659,0.8267619442085312,0.8633748842328381,0.9921801723073546,0.9746220831288988,0.8411939658238297,1.003774049842357,1.0783874230838177,1.1016699271443053,0.9683050079020641,0.9001467458192116,1.6606596002030578,1.4735542710614495,1.0727972303674012,0.7350404651187059,0.6928808924595978,0.7250058623898358,0.7688474443058599,0.7452328517635156,0.6700377224662,0.6351022542813272,0.7956589687090947,0.9527875892561333,0.8654741647463519,0.742781302693028,0.8798787735904562,0.7961053045196274,0.8109323146598889,1.0385514973485863,1.1443164035933509,0.9771218899836523,0.8849905718681242,1.4871408397100634,1.722554346546923,1.7996142995295457,1.6962034099820162,2.125240374508845,2.2044387004142236,3.2667115742087107],[0.8765525640295955,0.8823573675329032,0.9258019484110728,0.891245759901697,0.6852463557520155,0.6552200548545155,0.6163282576017705,0.606745776957875,0.6518821150543981,0.6035806105603957,0.6093278226737123,0.7017090305814666,0.6107151018640424,0.6030702988153855,0.5971041986312111,0.6284380562148719,0.6069335321343186,0.6183008762259362,0.6674285787119347,0.623251343708506,0.660178029928671,0.6885478722998848,0.8617563255498469,0.897397237514985,0.82309485062807,0.681390232994176,0.5838666735633765,0.6030810767471411,0.6164259733021793,0.5939281115125923,0.6427298850255434,0.6289268930883131,0.6379525910255439,0.641912650403388,0.6348303334067522,0.631928039892057,0.6364328495878511,0.6396278073975754,0.6382343415986031,0.7172803468285369,0.6220603199049302,0.6197520087634959,0.6847960935307181,0.8955108194225138,1.276052018861226,1.6436924666141512,1.8342250755415865,1.06788476137124,1.017102602921575,1.1842865857716947,1.120842935223,0.9239221377739875,0.9030101255578049,0.7623426487477594,1.0962501378289915,0.776769502269883,0.8428907084420596,0.8962440573715061,0.8558633798637023,1.125719959903207,0.8849123400128377,0.8112371218873649,0.6873796930593109,0.7077886339325723,0.7795863979596666,0.6983067882784982,0.7566825327217784,0.6348038173004488,0.7624827336833625,0.7224727548414746,0.8733659913711809,1.057835381475302,0.7355057248329625,0.914535312038992,0.6780855326696114,1.048461781960391,0.6704419873585219,0.6257088287362724,0.6552116650956498,0.689686058971338,0.6478548538084294,0.7179225750142327,0.8783821675440828,0.7440626888632759,0.6696416256499613,0.6451361015489601,0.6323818648327787,0.7177395588395762,0.629313358690566,0.6925041659641302,0.6508351616322358,0.773925374165393,0.7023572985842469,0.60579118377957,0.6097268283808112,0.6492560933951631,0.7408550357199749,0.6483017348473212,0.6509183107716296,0.722159648734714,0.6466815111432865,0.7923320883953715,0.6258515775811768,0.6807917517527854,0.680826249787866,0.6552634161486487,0.7268389188752862,0.7379251130276905,0.6534926175935668,0.7320672208290492,0.7368720390101222,0.6120459612789072,0.6115837186726473,0.6041488588899994,0.5978572423030123,0.6198365216080345,0.6474940891130804,0.6149279035887011,0.6930709990378865,0.6205322669530635,0.6110860327932401,0.6366121979463036,0.6452443667337073,0.5674396921903386,0.5608634720881429,0.5794048044794117,0.7800382460296778,0.6091149795964722,0.6486372856253052,0.6523041235271544,0.6984961212386948,0.7628684645764225,0.7341003235449253,0.6788418278212819,0.6526435264073165,0.7302600742221916,0.6918963077354282,0.6197666931215013,0.5532823417002558,0.5545958924508879,0.574748982865838,0.8104037539849849,0.5981598828289094,0.5955856196790185,0.5794204878321272,0.5744128383075479,0.5765099857337935,0.5984152703659235,0.6082564709490171,0.616312325574267,0.6701336864024928,0.6341360719557021,0.7261388492191897,1.1641608443272844,0.8336339329487304,0.6661659140508122,0.6448175103951306,0.6622808021435639,0.6137108711555304,0.6177906888803151,0.6157698606722461,0.609457701326726,0.5854172472830912,0.6114407739306322,0.7639434823701169,0.9250898363301748,0.792466092785473,1.0616503099459376,1.0627586093000674,0.9279867200391413,0.714031291069241,0.6274569373949116,0.6370374037066014,0.6303819465298541,0.6168535640171439,0.6429597068758435,0.6367989360746101,0.7022061972106155,0.6353527794137905,0.6721497706316445,0.6927970041135968,0.6610677794179255,0.699082553523036,0.7740336869649816,0.7507810297616814,0.7753043113576572,0.8152059420437092,0.9223529440649515,1.1791007403338785,1.0469066826383582,1.1019455977947559,0.9339574244940709,1.011021301895675,1.007047077248632,0.8890097806602544,0.9596703975836431,0.9511765837581412,0.8544360652743561,0.8212871092320608,0.8300485674540815,0.7356626931726419,0.6541648626392463,0.6308444418060557,0.6112562029055184,0.5851296758849036,0.6006448738846868,0.5918116473668611,0.564468513740171,0.5399963238379147,0.5884780024490941,0.5473529970113196,0.5458374046877656,0.6051756970819018,0.7657842571792459,0.7151064440152235,0.7292184821357406,0.6626317593873341,0.7049141175298208,0.6282989843056367,0.6815203179613364,0.7916011372179307,1.204800504447921,1.0698331850755967,0.9480284539017269,0.9279286570862916,0.9404738821916414,0.8847679747865016,1.0468524465554363,1.1418091309033156,0.9448787376333516,0.9573172466313805,1.1925536544313653,1.173742141278079,0.9853080035196845,1.0451715704160538,1.3451197092231848,1.1722141013802123,1.0010980342403808,0.8453889864806332,0.8626777117908312,0.8652758905012057,0.7786745958299458,0.8083526180924223,0.8072687566497576,0.8457178257598073,0.7774080459582089,0.7431074565009597,0.679186330175446,0.6945833098662637,0.6192029741534936,0.5964468193873812,0.6057885065925415,0.586836821562976,0.6331669796075372,0.6139839385902262,0.7692848341187912,0.619173236939781,0.6021523024538151,0.5908433840480323,0.6344980674182822,0.6789541570837992,0.7448898129695994,0.6814765829241174,0.6125246619534136,0.7334919760058428,0.7805357634105032,0.7250115008949414,0.7366990576024103,0.9704276173086828,1.0367906897335972,0.8049812669128743,1.0013546203315002,1.1157414491276827,1.1927054404775586,1.0028075117192607,0.7937788846306145,1.608201244921526,1.394726761211992,0.9628880116493442,0.6617207329958953,0.5359770499981317,0.6516244388670824,0.7838405404234677,0.6768627735069107,0.5011461196356449,0.4324263125190887,0.6329601911880969,0.7986448908241943,0.7194561643146858,0.6861561692884763,0.8503248602752237,0.6533306316472723,0.603821866597122,0.887626907566025,1.1064213474513973,0.9146110652381773,0.8531431535630091,1.5532959315048522,1.7847891721527513,1.9518153050946003,1.8125998262130503,2.308030830740726,2.270786736315329,3.2920725984296952],[0.7633175095240652,0.7892084900894666,0.8880149496779903,0.7613662283760296,0.6354699639464234,0.5459974474858403,0.48939257194370445,0.5037847833376085,0.514838826977639,0.45437306445044345,0.46005675846842964,0.5270876588244036,0.49438910995882857,0.46160003866791877,0.49072687271850823,0.5357217007600816,0.5329101611541119,0.5288691278008406,0.5861642029172923,0.5457660069439444,0.6054866087157453,0.6277528144727766,0.8327233836731707,0.8695106823207184,0.748953905235015,0.621812197157175,0.5486453763059271,0.4923876318411559,0.506924010078455,0.5175476486581877,0.5304636622838298,0.5327168988267963,0.5259616769065275,0.5244806345898372,0.5337804729329798,0.5384379964259047,0.5283270231395752,0.5739694256115364,0.5423937626873616,0.628050882684118,0.5750864889442829,0.5848003106861521,0.6892867484827228,0.9021209781425679,1.3764922041499028,1.7100586997135674,1.9697746557520033,1.176543400944017,1.0598333760620375,1.2730445360745182,1.171896307082127,0.978915755570921,0.9143973094306379,0.7753398756504857,1.0935175434189934,0.7610317015457164,0.7799735707720635,0.9477333063248022,0.821484124128121,1.0819892810821015,0.8513115282414337,0.7571717913045443,0.6150782477401576,0.6858419431841869,0.7576355844274218,0.6386981440902725,0.7065510189353285,0.5476356658880182,0.7071854136253943,0.6633470234568437,0.8060027096184992,1.022381114400766,0.6916941367542195,0.8741464275829882,0.5927037397382331,1.0317532917809427,0.5844336737648346,0.5118617794833172,0.5716877599162882,0.6499822629682118,0.5609467817291025,0.653385812704943,0.8087740192158814,0.7286641149804373,0.6672330065230949,0.5711649611730834,0.5653586721251678,0.6272066395211364,0.5364506518180155,0.6053832293646138,0.5477119025875643,0.6967048314991473,0.6222376620138641,0.5172424061132463,0.5195483843255663,0.5815066978579396,0.7102875359805607,0.5262545161969238,0.5219891294641064,0.6138164632052648,0.5303966532448817,0.693633156335827,0.5189206971699069,0.5489514144017592,0.6166865118536456,0.5933950745553898,0.6855809188010489,0.7206647254661842,0.6147171097196121,0.7069736193039615,0.6917679034937914,0.53755645733762,0.5045014846966543,0.48928773656320274,0.4808300532964429,0.5086347583086677,0.513746320938133,0.5615011410597429,0.6361509225307148,0.5254761476211833,0.5459482211013625,0.5149432360640641,0.5309412464378974,0.44408037107157755,0.4236445113014257,0.46907045151772686,0.696575836949266,0.5515056447251995,0.5684702003745321,0.5789472197993133,0.6349801551264913,0.6950905241555303,0.6598308223849021,0.6150157101961371,0.5996213210407015,0.6483465466673781,0.663427964088281,0.5574575650703121,0.46757345560471036,0.49050254539454086,0.5207436670083021,0.801677738392855,0.5482153671395383,0.5032814335960176,0.5064425400058975,0.5085605495241768,0.5206791547744494,0.5117347566082571,0.5017265408024927,0.5108318089346295,0.5594519364525175,0.5282129538905378,0.6268231791257487,1.0037408215387715,0.7316778999597936,0.5507179636014888,0.5118134211734479,0.5521056006526576,0.5055977413796484,0.5268377206785286,0.5372372671829531,0.533883514311001,0.519961811938944,0.5487517086681647,0.7315898934064397,0.8881947606274502,0.8231404845499843,1.1283769103268764,1.0718897861036525,0.8936215793141159,0.6863944460695489,0.5860113247249159,0.5887470984218461,0.5788568358576515,0.5548082932740624,0.5626941219854829,0.5528248863375618,0.60816378723847,0.5856451300462794,0.5933972111001239,0.6755408194418699,0.5972778018883995,0.671546080145548,0.741146402985665,0.7239260768817475,0.7966014728280525,0.8040058296398472,0.9640308624265813,1.2579176539707528,1.1038487952386307,1.1839494810690974,0.9747034157988479,0.9992808443963697,0.9708805420130634,0.8236263530149123,0.9092073480739193,0.9023785078506743,0.8474216750025798,0.8144064229205236,0.8369402734018055,0.7448710963744224,0.6632968785414265,0.6264708839982684,0.6342940182571254,0.6219684523166745,0.6306647423479028,0.6210543449913463,0.6468582254854,0.6061584159632888,0.6851918555888655,0.6712593770140397,0.6758588682921292,0.7378437169994378,0.8877758228454368,0.8753701108500503,0.8740550116251364,0.813118544874036,0.8013786486022788,0.7278568297069811,0.759198667324,0.8343540573763969,1.28880481768673,1.099142275795143,0.979640478163751,0.9380855989230753,0.9492251642950551,0.8754337163887502,1.0648185897164115,1.1394466231809095,0.9448098896511329,0.960573251384798,1.2172221791264215,1.1676108793066593,0.9871274267078379,1.0951951285668047,1.3739900386460069,1.1791708727962529,1.0380510668496434,0.845090575153773,0.8735528955841112,0.8750679272985731,0.7826222911144433,0.8213890606119014,0.813624013315483,0.8615394484271922,0.7915990484296658,0.7515618781970076,0.6881643999960455,0.6986175781611679,0.6534113321604164,0.6416774221612433,0.6627363131979017,0.6420484051036045,0.6642517585178429,0.6741826021524334,0.848096394602598,0.6953580553159857,0.6708337331195916,0.6593476329854766,0.6695656125715695,0.7002669700819056,0.7610410010458527,0.7188420384916553,0.659900403476113,0.7424700229109912,0.7992823785574421,0.7616182533139767,0.753051345448404,0.9715652743176784,1.0492995530427653,0.8274336931818818,0.9851793939540131,1.1522139152362827,1.2249994751384679,1.0160137137157432,0.8310609458418252,1.648482599456333,1.317705171244926,1.0137938414335559,0.8313024142676594,0.6851545863685706,0.7843836807181018,0.9485756435363769,0.7770515274472517,0.68535283562871,0.5935176378611773,0.6657311016376355,0.7505457042683668,0.7033230216960888,0.6187113354000361,0.8673155697038495,0.6198909557684675,0.6167209104188622,0.8009714041219145,1.0947143365100998,0.968969823194167,0.9342101501548079,1.6623800267156157,1.9569372773088378,2.1296720530663142,1.9806181068628177,2.5938364386481254,2.5300419701328924,3.5669062999568304],[0.6737673972263278,0.6919584609426942,0.884345861752617,0.6628390411733015,0.588742771050154,0.45820275489743095,0.4113181535912321,0.41912240297683484,0.45456473132042774,0.4038461753409566,0.40265972502702313,0.46653013290008627,0.4358776725388697,0.4016290471526115,0.4367946467105307,0.46369050205504553,0.48502593412299116,0.47868278221263844,0.5378078976826753,0.4916015656603478,0.5261569677045771,0.5730783105868937,0.7692346654979306,0.78359148088811,0.6999908338670802,0.5585362483488724,0.5400957529723555,0.44183874824861386,0.4666951204369209,0.4413425140121711,0.4973347258742723,0.4734564836805338,0.44845574999389815,0.4636255414299259,0.4665080382919945,0.479727056859734,0.46410036138394833,0.484065195157925,0.45662064975707534,0.5765270933282578,0.5203653621678571,0.5820838977421245,0.6960475022614054,0.9293372838267785,1.3948301722073297,1.752817137190338,1.943673188755699,1.1607970239826795,1.0679622082316989,1.2384586734371983,1.082385963061994,0.9126043759578716,0.8753776831702175,0.7328840835671513,1.052034706498874,0.6975486974011003,0.7176636729178315,0.9612549060891683,0.8412776604425771,1.02012588257565,0.8230846286779154,0.696078149387996,0.5604401002464857,0.5982824607492191,0.6896135461154798,0.5594801811782523,0.648017792294872,0.49803614598412055,0.667432987896634,0.6257566168359663,0.7804378378708563,1.0065358361312193,0.6661651485837125,0.8610433055808057,0.5547605398733029,1.087455342508003,0.5386450515222868,0.47570876907000065,0.4859098760740341,0.5780456792281783,0.5396058811524843,0.6081843533354648,0.8131835925171955,0.6698321062326332,0.6358136487171229,0.543279658095345,0.5166911928890059,0.5868234033699932,0.48532838864085065,0.5518349321958078,0.5084821821796591,0.6730236415055515,0.5867463082330984,0.46117637464967276,0.46146902306975585,0.5263516458722484,0.6500360884172943,0.4678963031613765,0.45056743698745316,0.5394235731121079,0.45745091325282644,0.6187040394876332,0.4557670069133105,0.489233319594323,0.5294869466505252,0.5238827156674014,0.6297910472139568,0.6636646826232108,0.5235786726616378,0.6751103530886791,0.591348338688693,0.47565258086757833,0.4316028700283851,0.44660169190408344,0.43722818937204166,0.4563562304437701,0.47694644642616557,0.5054661941786621,0.5763859476764305,0.47295433167101336,0.49255761824370203,0.47831895061527174,0.49255200755816364,0.40013976522655365,0.3759653611819229,0.4295474499237611,0.6072255156406979,0.49158841633745115,0.48026617393044324,0.5010546622437582,0.5495148423804451,0.5755442467383716,0.5571244594402511,0.5398163184304451,0.53283401798305,0.565276808367553,0.653573564084254,0.5288090793677757,0.4245774357337763,0.4237530137080808,0.46395974340170304,0.7135270102711984,0.46935316439825864,0.4420977455490475,0.45124733262922906,0.42754147708437806,0.4326016471541104,0.4476403775206949,0.43416955580778577,0.44298003549139925,0.4895439970963716,0.43983327395152677,0.5495929668725444,0.9000026542407842,0.6868501777226825,0.4606569594123353,0.44378837689941963,0.4640372751350919,0.4362934441147127,0.4500611330749176,0.4710887765657801,0.450319467428873,0.4651662059773955,0.48925419969127415,0.6953590348368838,0.7698347751839226,0.7688330888742029,1.0823354247428416,1.0110922373691653,0.9169259198353841,0.6483530679629353,0.5453203294557014,0.5454439208534289,0.510820945151646,0.49227923728102896,0.47452435062827875,0.4955832602258763,0.5308529602059509,0.5257052297917504,0.49656553190044317,0.621989927334748,0.51891558333602,0.5774349552764727,0.6635925048315482,0.6657513331131937,0.7901085842842652,0.8200266978925542,0.9069027975579528,1.26524157452254,1.1405430615468173,1.1612130910983165,0.91190310981084,0.9162770388824253,0.8801847065281155,0.6921501108232682,0.7574964734102552,0.7426166571564325,0.7358138898824406,0.7091364667305803,0.780489217664473,0.61822198185082,0.5503233697347336,0.5377590539833764,0.5490566046186603,0.5393163120837435,0.5567339540423353,0.571098837114457,0.6158823626414897,0.563692165207046,0.6387425474845039,0.6682231110064137,0.681045679889322,0.7208637225502184,0.818096240341393,0.911867090434263,0.9082164351224493,0.8327988962995506,0.7889215922219028,0.7408565361460229,0.7396549703945035,0.768163927663953,1.1362556698719184,0.9778361303138189,0.9627337465453578,0.8190041476255765,0.7825545638567748,0.7404489524576178,0.8438079595685225,0.9445206665267355,0.7952530151009511,0.7748399425466511,1.0131935856710008,1.0043519418545261,0.8356882677327057,0.9199904780378015,1.1848920746290879,1.0253958626462394,0.9176436591021584,0.716829239375825,0.7707670097948855,0.7279034046735591,0.6707927140198905,0.7085735415422952,0.701037988850024,0.7827117829913992,0.6904589636317241,0.6223610622462589,0.5847603678937383,0.6118771669523767,0.5737296387219316,0.571874425238732,0.6125054864520104,0.5846693385658932,0.6010206759164587,0.6352439820174042,0.8396311089823163,0.6684641525211553,0.6454444768881087,0.6320840136941268,0.6041601894212146,0.6140275170555496,0.6583705323083945,0.6437161441398564,0.5964944846776982,0.6348347647775122,0.7102598892585885,0.7068062386900401,0.6765674843922102,0.8557231542789354,0.9841914634676983,0.806435612635958,0.895915495047098,1.0030867194937323,1.1250745438000331,0.9552479555413081,0.8348842568608685,1.4868425323192216,1.3374108139915866,0.9673346078234131,0.8671535309238317,0.7077867242600774,0.7509235524224137,0.9427750735766436,0.7340439967163679,0.8362110999043525,0.8560087738415975,0.712742512689791,0.5955943824004314,0.6234122585240636,0.5319854971397492,0.829908181275091,0.5530229250147402,0.5338409041057197,0.6766459251245045,1.068672653078373,0.9479148652495042,0.9850567174266728,1.7405250927019194,2.0588664053397507,2.21274133691971,2.0624028913769386,2.819188902375172,2.7722290765235296,3.845341418875844],[0.6729297436318955,0.7209366406656541,0.8651686221878593,0.6770358178497815,0.5503327459660267,0.43328123683808223,0.37349482368182685,0.3882311404863315,0.41206609323419774,0.3577335459138786,0.357764303140833,0.43041171110790105,0.3780800495922838,0.386804999509742,0.4053613141313966,0.4059517081618467,0.43190840946264614,0.42314291367567747,0.5119050774407691,0.43810755590076617,0.48541223808697553,0.5094410677449527,0.7149298007804255,0.7378684919412734,0.6448002680809215,0.5172144129226809,0.4684478554778154,0.37388152656651974,0.41475377262052077,0.3836361824943539,0.4285435945619591,0.4180098443583639,0.39723982096633786,0.4030074327010377,0.3867966361061134,0.39610101505260614,0.37837035904180943,0.40968192210950216,0.37627721180717777,0.4590895922785131,0.43189105283865165,0.5032810506750031,0.6026180226193603,0.8380227959546309,1.3607899288159406,1.7139388250009255,1.9562803143749228,1.1354380157113997,1.0244969567565119,1.230574828600518,1.0437701966503543,0.9073201186360416,0.8275811381001518,0.6565128499365234,0.9823741828810532,0.6290463344733043,0.647943596784651,0.8616727727307475,0.7343069140685919,0.955159040026487,0.7559109408313373,0.6508881890958833,0.5064557086208606,0.6069428590657039,0.6468034858442988,0.5187506753706301,0.6407426224813783,0.4715969837508035,0.6930581876866331,0.63037768920378,0.8117327838016442,1.0419694899764673,0.6988374609580946,0.8879801628585995,0.5335675605667409,1.098746271196184,0.47918372035664103,0.4234722358186095,0.4373380154802954,0.5113257751513165,0.4390994960262013,0.5249278216746945,0.7415336668003729,0.56144343185491,0.5689128206085937,0.43826519026097255,0.4304481134384247,0.5126304822107826,0.4097230040953593,0.4664470412272972,0.4502550643232658,0.6426988800832226,0.5522925888510554,0.4250588852240435,0.4240134062802718,0.508211196187885,0.6103119531929133,0.4426650689989965,0.4257504655945208,0.5423392414379321,0.41423081482985274,0.6174878750784589,0.3951129658866426,0.4392832162703829,0.466338204235335,0.4683312363153076,0.6002484356995457,0.6164199279897709,0.4956843400648729,0.6873832912250374,0.5287904591615421,0.39982552716968034,0.36996035631301233,0.37915935076809854,0.38839155591218305,0.40081459306074024,0.40005833817093595,0.5058193121106166,0.5600413398795816,0.43628543878272824,0.48231898040993715,0.43275903174099456,0.4333555330479616,0.3552861445060043,0.3278987382349276,0.3732634138168979,0.5413124559032493,0.44141579110653906,0.42073906372153974,0.4290418416042959,0.5102879463378492,0.556074530928649,0.5200799076843765,0.47422036657582217,0.4614900449508338,0.5390963491284829,0.6168546852455028,0.4445271607092667,0.33656128294176874,0.36315989356359635,0.49282570663318115,0.7381352739262397,0.4354488105794353,0.36771482519718135,0.36850764519807877,0.36792858632575665,0.36655970695540857,0.39289678376581033,0.3545930360457561,0.3871123482814606,0.44299690204183056,0.41521852315607805,0.5088646680999643,0.8902852559736737,0.7102603821944632,0.4305159048830262,0.40393375397967246,0.4134930070798328,0.3601444716653165,0.3745764058697987,0.38798034179485574,0.37579730843609543,0.3749345870668435,0.397128762635859,0.5846565698048176,0.744441611918885,0.7267808738236647,1.1017010579714555,1.0129805727583432,0.8803550748390057,0.5954847302698286,0.45624074530610675,0.4431293696128021,0.4213976604007918,0.38621751971654183,0.3782881251413526,0.4102299240705649,0.44827404241739316,0.4265212101823385,0.4078122428077798,0.5326650771586083,0.42755205169305,0.5088607091439796,0.598121110117702,0.5906888120345896,0.7185739392291073,0.7318660717245652,0.8723509178360725,1.2496466401412818,1.0968717114575381,1.1637913958960076,0.9295217817742034,0.9059634469228317,0.8708481802462731,0.6795962701063857,0.7484285260052612,0.7278039633966958,0.7221913778686709,0.712161905397268,0.7691380682208843,0.6331853635072677,0.5624551488969188,0.5414459955193188,0.5963236962650401,0.6054565103479523,0.6122907600341695,0.6549962380125968,0.7155944801912736,0.6652773223323848,0.7405851422114936,0.7799326056490575,0.8133568364281291,0.8640409092691479,0.9804825101682106,1.0477251385371178,1.0006895106808844,0.996284972342382,0.8988187622396665,0.865727570086071,0.8687902067657498,0.8796396447759408,1.2503537265690903,1.0636340868042686,1.1371673992925697,0.9201542590286891,0.8689002629534506,0.7973528675059603,0.888125637593787,1.029132074237573,0.8529146265593117,0.819931268543173,1.082173248420538,1.0935124943814811,0.8869214453480663,0.9517305280293138,1.2664033803073496,1.0934336326736172,0.943534962185583,0.7487767340327974,0.7529728661124018,0.7290014610554708,0.6896379976447343,0.7117881962067693,0.7368363596856915,0.769397502693072,0.698684820947124,0.6624654032540893,0.6203790583389234,0.6454175237485528,0.6194665861722943,0.6517790807091437,0.7050854373773169,0.6810165833218604,0.6962112897368835,0.760460163220122,0.949219358334072,0.7946391496545961,0.781661119928281,0.7698274896545527,0.7128753887468222,0.6842919788335412,0.7239769144050806,0.7551281629730239,0.7154880936429742,0.7170218081087621,0.817797854889744,0.813541266195013,0.7602405335421277,0.9417571806973416,1.1040799335604026,0.9040978743920867,0.9837787416753299,1.0955256877244945,1.2440338224033707,1.0539953244193152,0.9199989604108907,1.4864507695628961,1.2650053612126697,1.0862544988175094,0.9598627246547612,0.8135971609570685,0.8929364676076965,1.0209396895482339,0.7906527713824435,0.9151898225084956,0.9151889899679808,0.7842762047476446,0.5689639415830342,0.6177678757551679,0.4947691362488088,0.8350662756171597,0.5937381539153566,0.584513174956631,0.7049865458505169,1.0979206781041093,1.0293731568850684,1.1681781534186457,1.867315002722282,2.1877070353032932,2.444881778073732,2.308655375638493,3.1225651616797077,3.0693739062438454,4.0791870745361924],[0.6783503214289823,0.7223953126000275,0.9033929504703448,0.6290754496163657,0.5644040817614432,0.39664705131721295,0.36848799137667687,0.38489758234625043,0.4114595730251025,0.3606862470025652,0.3554174274540315,0.43652588076691085,0.38645552669868466,0.39182970337032597,0.40990759048980824,0.41227212354302134,0.44343017852076566,0.44088761565398527,0.5083145118143625,0.44564438795945305,0.4743018305115647,0.5187997657386216,0.6662844319445143,0.69687324185903,0.6360183722012156,0.5137441118737449,0.47235199383497734,0.39699152905063123,0.4408687283414183,0.3991038810276709,0.4407911635828252,0.42315978892068146,0.41174711896589355,0.41281965148273325,0.39122176226660366,0.398266875960389,0.39530854832141765,0.42741952455631027,0.39889609556627126,0.4713813567976004,0.44286137954764937,0.5314056843834122,0.6100791730066689,0.8441242463481438,1.3511235278952158,1.7341684883883408,1.9051700503156728,1.1014247858158965,1.0447729935450156,1.1966733559132776,1.016035265754828,0.8844190992731561,0.8204517528481319,0.6627362663455879,0.9753777479523501,0.611385247164298,0.6167604821083995,0.8848300060841909,0.7848724906262347,0.8940881514960478,0.7195712401539794,0.6294178758377054,0.505646198657579,0.6078379818028687,0.6383236244039325,0.5016000914790134,0.6261529441039473,0.48518511959442984,0.6722516311629557,0.6217769254486717,0.7807064055187369,1.0055815542422957,0.6779941368162398,0.8302735164999575,0.5342522548391128,1.1337279567227079,0.4659391363512344,0.41216948847027635,0.4275189286475821,0.5112268549878846,0.47026926993055407,0.5405382760990898,0.7912644941631038,0.5614946149495748,0.6041998577603277,0.4620364699161795,0.4519796285739942,0.5211599550121493,0.4135185219435419,0.4824286938017962,0.4398019164530476,0.6295079345524566,0.5524233752454553,0.4390622591423052,0.43574356423318245,0.5173563320067739,0.6296325133775134,0.45719422651014974,0.4348725713035827,0.5333461179156502,0.4212239957237805,0.5812915236745542,0.40172420031873646,0.4280470710329781,0.4644347283759544,0.46390463162198853,0.6058244955653282,0.5563439604291291,0.46605565290378054,0.7131461871889436,0.514239882228472,0.39539120808872336,0.3652620303670573,0.4032594888071082,0.40065085635621006,0.40208255283490424,0.4096865066060339,0.527626627482076,0.5379074714301012,0.44098094502939017,0.47276521030485275,0.42736658832009317,0.4386990763500922,0.3700887872287726,0.3433863364909884,0.39132453887520496,0.5222323908352128,0.42607081573819194,0.39035209580667046,0.4011360743836136,0.4448493131905413,0.4663516192287011,0.45761221793205453,0.45413941830634785,0.43818358726144085,0.5152150758372361,0.6389631819996624,0.45032148668841077,0.3649999595912861,0.3975347692156484,0.5437531334363057,0.7244582626278094,0.45823078223983554,0.39303577997038397,0.39340785282436536,0.38190674885557874,0.376583479537096,0.4115799371275309,0.36100910573396183,0.38333916148010133,0.42408870067472776,0.417381924670838,0.49614387461242077,0.8968877386189158,0.7284243367106388,0.43493547289775353,0.4009173341093187,0.390066118519518,0.35840197993265704,0.37650329406811545,0.39671456435808217,0.3886228409169266,0.4015431413427695,0.41601392852134056,0.5581692384244783,0.7133322043474889,0.6957419553253011,1.0646261914911845,0.9786644583011609,0.910824584118058,0.6041552618629104,0.4755317666059402,0.4479419777539598,0.4459351663400617,0.40996953186558377,0.3971401103798826,0.4385112982402717,0.49185626423963236,0.4413623762555276,0.43097591753280146,0.5389623716546406,0.42734475152010676,0.482647461529626,0.5546486334219709,0.5816251483348851,0.7303773030892912,0.73829245795479,0.8952133838909063,1.2600451344348027,1.0881649935252147,1.108072995223684,0.9305614679238474,0.8644083185918247,0.8241322723061049,0.6189371018591883,0.6603332907289791,0.6352772854543692,0.6323059722284133,0.6106431574353952,0.7250456146524177,0.5591351050788235,0.5323680660479055,0.5311294856538643,0.5559398996099625,0.5696805475347081,0.6047838447924533,0.6763158925616154,0.7008802243887848,0.6690574249532182,0.7647433463492553,0.8145085295203559,0.8274174349164491,0.8915400591952309,0.9741443606937342,1.0623524519326386,0.9746888222304156,1.007334893942404,0.8359832014149601,0.8244667118387963,0.8244840936289114,0.7787674640040052,1.1149940344348008,0.9256176546523558,1.0834945107689398,0.7569359595766978,0.7083250814788321,0.6721335765652907,0.7209186206361878,0.8523210219952345,0.6960251050711,0.6764364617448425,0.8875490770797239,0.9109672112674889,0.7308970503234599,0.8135870786120766,1.043810020683086,0.9099023724903699,0.8564639647118715,0.63879325358847,0.6682269578264524,0.6373237881873656,0.6665385161874471,0.7267196924650503,0.7153454743839264,0.8018872328099305,0.6889052940985385,0.6274727222453506,0.66489062811395,0.6791001756536141,0.6264301371448139,0.67292749404729,0.7427712235027023,0.7141757431819443,0.7162037841004771,0.7976690220217483,0.9897161659024202,0.8029584427996582,0.7715606451903598,0.7443436975265983,0.6549647869419608,0.6143335381654964,0.6362823771237394,0.6646841828227641,0.6588587816850096,0.6235434354107753,0.7068580355738077,0.7294512965385628,0.6684410501151419,0.7814781044890187,0.9812004254041279,0.8106541349070304,0.8501406857013327,0.930354333744759,1.0995613211472006,0.9320874996447979,0.8373150244319179,1.335908413020742,1.2503459939760457,1.002010759006119,0.8884614004922271,0.7772170436550898,0.8387820215878735,0.9378000957669869,0.7458953259933347,0.9187628125679335,0.9659700668663209,0.7757206061967316,0.5672871895925222,0.5701389435965805,0.4568041180987908,0.8807474901038023,0.6443788582855593,0.6168327788599971,0.7339758602713893,1.0895905928799818,1.0411555337294687,1.2142479227409024,1.8936435122568203,2.271315157430374,2.42354650384147,2.3158072293965852,3.2098889352388067,3.19947887888464,4.275178810780276],[0.6553010501496558,0.6744982168124845,0.9856755070021272,0.5942107968201026,0.6743224875733949,0.3982646409654711,0.3407881773551099,0.38131168595394294,0.3627147828778591,0.32640886160376115,0.33013135155230666,0.38256236159282886,0.37110775088924103,0.3674750739154441,0.39639212702442317,0.40577517782283984,0.5011297851440697,0.5009983642074821,0.6307923268550254,0.5730231240098518,0.6072251536628823,0.6893556827565046,0.8431737650710942,0.8603810025283022,0.7966283485345365,0.6650456251205039,0.6986488095724008,0.5018757917746675,0.5121963975937759,0.45982732736187687,0.4667049960216204,0.43611104331693085,0.40409238828423916,0.4393433090411897,0.4698170966176088,0.5133990195693282,0.47863843171751197,0.5560800500112668,0.5708057185222236,0.7235909466090974,0.6879672507322812,0.7428718708779983,0.8930382111331353,1.1046209074163935,1.5770449941983944,1.8908893203775103,2.082292835615805,1.3772860215626022,1.2629713931456088,1.4461307615616636,1.261851701731417,1.1047820058494926,1.092705888110499,0.9226850238627793,1.1874564977086512,0.8551033171349172,0.8205845115390449,1.1591788142580581,0.9475800690878761,1.0557583858496289,0.9096569892288315,0.7634729852296309,0.60750551943502,0.6724592068815037,0.7911257812267194,0.6205893169461512,0.6818044605681685,0.5493958036421703,0.7173042630183971,0.6582005670101798,0.7965607049093447,1.0466308925603163,0.704813395762323,0.9310614370165177,0.562962809021127,1.1361983123712942,0.576120748702896,0.512424409611272,0.5203447022813863,0.6495826273970001,0.6309413586980368,0.7327522234278548,0.8979915674048861,0.839724439300467,0.8802089235199861,0.6762310353851645,0.634403925292499,0.6483313328850137,0.553134609985571,0.5395311685630997,0.5234414689255622,0.6792754125689416,0.5873636891417117,0.43612267608900107,0.4124626973462139,0.4855107412888466,0.6458746810033384,0.40462505119222564,0.38669459633615905,0.46762425873202396,0.42745886851974585,0.5748170455843616,0.5054898083605887,0.5196233210670363,0.6291464611540813,0.6333741406831248,0.748294213815962,0.7327377682566213,0.610630222053172,0.8034295338780901,0.6216592792551192,0.5426273458367433,0.40203243535842054,0.46805717950113795,0.419264048439669,0.47163403704960055,0.4706758958951715,0.6023375753744458,0.663476720431661,0.49861546708387183,0.5396626061663743,0.4752734898106933,0.49618920892540896,0.3814976408787755,0.3224588996251652,0.46747676085889395,0.5572957995610585,0.6209499782271303,0.5898353097871886,0.6272142582978163,0.6004185760567802,0.6106915730577761,0.660037581661906,0.6958713768749021,0.6792442342659054,0.5967532318864885,0.8748406534562055,0.6776450839714342,0.5600463586740315,0.5493070463325251,0.633984508440047,0.8343014274261881,0.5920786044645637,0.5417367899522454,0.579505078839122,0.5075959300898842,0.49908744290842405,0.4739664306163804,0.4474141714864303,0.4057502059057576,0.47208010962331026,0.41139684633811724,0.5543970541839456,0.8440438881725701,0.7199170809209532,0.4159261627607079,0.3862366338088,0.41218403837926115,0.4148039421637282,0.49386998209197025,0.5924375142599707,0.5228765220077253,0.6074508377085135,0.6681083479655265,0.8529987456051147,0.8754147238847885,0.991779972009871,1.3387543684417103,1.1644180760507077,1.0981364895226102,0.8692395834550108,0.7549486152038616,0.7392190217545828,0.6922510239400849,0.6408818482672393,0.5727629057238801,0.5744029833399332,0.6116537701955665,0.6644128080367662,0.6343959223724396,0.8224969191388616,0.6706975700958152,0.7641751382403376,0.8145977272147292,0.8491800708733467,1.0464001613276155,1.0399975379142123,1.1345278478161671,1.468943900832573,1.3405679834169149,1.3741443438471097,1.096162706712013,0.9963825151015504,0.943133420228794,0.7788350669739063,0.8272516519646671,0.7551090887567804,0.7416692607971003,0.7299257204180594,0.7697550179266816,0.630562289514107,0.5763534298688505,0.5609073547640102,0.57417332558466,0.5575572643905484,0.5712676163151031,0.6299828442018778,0.6602233195828637,0.5971764728231949,0.6885469964922162,0.7543431784855466,0.7506433002794513,0.7935875070999964,0.9043017715423065,1.0359173923760707,0.9890325705156578,0.930743492418719,0.8436790757742754,0.7835215698440819,0.7798069453703568,0.756663478470568,1.0926297512113494,0.9707708566360344,0.9800372190535251,0.8135491177300498,0.7666809813893991,0.6983502107468853,0.8424820028612053,0.9163246567052388,0.7793598192198188,0.7960882211543744,1.0215429172511445,0.9674588840973246,0.8489777222829029,1.0089737378203216,1.1538111103011022,1.0360062063427817,1.0043883327359546,0.7584239972116175,0.8160307482810304,0.8031609474111864,0.7314557913803342,0.8468075387803288,0.7926855317467244,0.9067233389504584,0.7778348139484749,0.6586199163878679,0.6703189637614234,0.6571572165417395,0.6112365851254531,0.6116666052985309,0.6740104117839255,0.6392982243122132,0.6374082291796253,0.694884971510575,0.931651471447555,0.7101354324722505,0.6711503269885222,0.665147161208058,0.6075761483228965,0.6251356288748208,0.6814904768398382,0.6342230115227216,0.6253955628532759,0.6604082640971843,0.7097401184627639,0.6912303812169006,0.6924624046636616,0.8372598501637151,0.9527668571848438,0.8356606510174165,0.8829140282450723,1.0059118565072032,1.1537992519345597,1.0098879313448517,0.9209189544758809,1.5539341437111998,1.4103531989138982,1.0419864840456892,0.9357454908806272,0.7667238480208365,0.7796403986519572,0.9978183324379825,0.8056437390752276,0.9368834740924517,0.9744627395273723,0.7894955612210474,0.7089090915518836,0.6094552370593642,0.5451304895878876,0.8673068769509721,0.6241268916318072,0.6171557254038125,0.7066970515876851,1.0448156082841007,0.977133322732656,1.061396974621447,1.7937685434490906,2.224830196308325,2.234352259111141,2.1552884175407216,3.033785826730634,3.0601485332425438,4.2427856231959415],[0.7393406705754018,0.779777915108517,0.9950997348340819,0.6618859405825182,0.7092208354481919,0.44249279691622984,0.377030969085908,0.3940140493966003,0.38165660221901004,0.3350559480203741,0.3525283266407757,0.39502541370512934,0.3401350238659103,0.3634962611717607,0.40763463758396823,0.3374481570174998,0.38572936985346623,0.39066921009098854,0.5494307129201769,0.4655921793213557,0.5622340742900432,0.5913113644361839,0.788296415345599,0.8010875207843565,0.7260060604453961,0.6061855469810985,0.5513395589169087,0.3950458660700003,0.38138868194871356,0.369256669311773,0.40162648434633286,0.370967607901847,0.368123327464755,0.38499019358276265,0.36475668566314867,0.38506827305701574,0.3644186245032775,0.42633338905011653,0.4422107268846532,0.5320916973396146,0.5137934970560323,0.5831361556001138,0.7282334252006831,0.9576859422275618,1.4787198269392579,1.7515899937836,2.0348329217571024,1.2946490089437983,1.1252854448073826,1.3506597513010792,1.1266123439695817,1.0715909944897264,0.981938894022427,0.763659295188158,1.022061366921789,0.736257399291277,0.7324834261399509,0.9924143852648156,0.7662031312820331,1.086398255834257,0.8450121718984624,0.6907887683696472,0.5514806130406386,0.6629196573727485,0.6928955903553701,0.5634272236763728,0.6852986663883326,0.47528576226955377,0.6564317415357798,0.6540767440987688,0.8019419170704208,1.0772114101117567,0.726788714879842,0.9304493757800507,0.5424432564466677,1.1072983249171826,0.5044314438517677,0.43175821660475855,0.4641769206827442,0.5678192499734391,0.4670345250589286,0.5438630181802313,0.7721547998828507,0.6224744325831036,0.6922935740130359,0.4864472804576673,0.44527884266652445,0.5209994902752579,0.43882096763132483,0.4475244255372464,0.44149696854022724,0.6961255328142057,0.57888980231461,0.425476134145775,0.40132150148698575,0.5441112768231919,0.6882274932021584,0.42143112930492077,0.38221571294580353,0.4969293679332787,0.41329650443242694,0.5490939589463296,0.40385091873443146,0.4724738411909934,0.5167418735529894,0.5495791212308365,0.6663822292580046,0.6201344513813231,0.526377398282961,0.75880080405307,0.5591377286610848,0.43791367880228604,0.3589892474757465,0.36537655510209593,0.37001182007792704,0.3941406847561939,0.39646449761248964,0.4771211651166515,0.5827952048685582,0.4263410005563952,0.4870427337395691,0.44642576816709273,0.4270563339778675,0.3615955248387299,0.33338215062124094,0.4051632998136657,0.5110719496284639,0.519626608445431,0.49705940084259476,0.5162491908304089,0.5023451666584733,0.5073173697920051,0.5479700433024899,0.5385315972240495,0.5194436112626727,0.49136583897355146,0.7794249572283162,0.49186752676868306,0.39888534600281517,0.4011562374108865,0.6030379685371434,0.8012944628862211,0.47922293731181004,0.3942478623459585,0.41460814847861305,0.38499767571287175,0.370149853297263,0.37811554060372166,0.3517006111800761,0.3917755049316709,0.4442176550982783,0.4510071335855297,0.5689327548192044,0.9277335238634737,0.804899203890261,0.4198284753588451,0.3817297239931284,0.3833468512242819,0.3371939541687734,0.396492579245355,0.4606912208442676,0.3744447361483536,0.43309021926937613,0.48752994529950544,0.6275298988458896,0.7859709233375767,0.8475793075282405,1.2893660665002997,1.0901777269363397,0.9406822659631975,0.7169090413019227,0.5493026980656105,0.5319518315620227,0.48961047108961175,0.4405589535461328,0.4208124405593646,0.43945044376701575,0.479100166979836,0.48609714282548316,0.46195218552085104,0.6114117962828886,0.4923482592110472,0.580820915333884,0.6323734860370026,0.6536357236569866,0.8487859217877243,0.8552886234816005,0.9661908286330919,1.3452883675401752,1.2071448950388965,1.3242388580216804,1.086027429004192,0.9619555035424875,0.893266098677805,0.7114075155388362,0.7824990338649709,0.7332013093712697,0.7061556871591713,0.7027571856446466,0.7607588437055861,0.6135094619660646,0.5939706398722283,0.5839263634155755,0.6106060596831732,0.5963007312646113,0.6346808129146481,0.7004400020227879,0.7257179531960657,0.6915046345534215,0.8032846412498362,0.8492532373252938,0.8619267192388198,0.942302427394754,1.04749630446061,1.1292170144364533,1.0264314496480509,1.051785041208866,0.8636194800929454,0.8332660030863226,0.8309286540955684,0.7883852179859967,1.1913140746524202,0.9629741824719413,1.0517891800564607,0.8208622039112285,0.770209948241659,0.6989291883927435,0.8039245790309157,0.9026157997680456,0.7614195708525359,0.7729153284340443,1.016324311435286,0.9727875425892574,0.8256314120158676,0.9593942539268645,1.1236336939230762,1.0163434983960302,0.9425118324443581,0.7282175947572983,0.8048156134287747,0.7703393480975501,0.7416299147264008,0.843157075286796,0.8126059345703514,0.921548779633985,0.7878887660784714,0.696060393101941,0.738375495637781,0.7066495439879259,0.6473990441259908,0.6872679602125216,0.7733891800540028,0.7275299484670029,0.7092709302262742,0.8116288701252541,1.0268019413801477,0.8342679673064203,0.7978054098634141,0.7748201289398375,0.6749106786384197,0.6403846096798158,0.6701010884592427,0.6757344970012875,0.696373121595588,0.6583796853988859,0.7278591436869376,0.7438964500412439,0.7091711855091476,0.8313211735196523,1.0099870416757983,0.8303802143419351,0.8775142687858871,0.9827352709761445,1.144083163108704,0.9710111208516641,0.8646316887880121,1.4917978822598041,1.291188049396984,1.0572681728371895,0.9497338640534742,0.8059465123317145,0.8792518885596233,1.004993341518685,0.7872033274038761,0.9144502332988247,0.9497816388114139,0.7737991250317185,0.6800492186095507,0.6037257807234916,0.5360604478633495,0.9378695057246638,0.705193890801603,0.6869979504910305,0.7782588916671741,1.1054166024261005,1.0620220477839828,1.2349492688628523,1.9275748641425237,2.327067268278005,2.376786300671923,2.3392451117257362,3.3095519409157665,3.34489282030076,4.529495536860242],[0.7493376956192835,0.7797739950133662,0.9822309674108728,0.6356191480571598,0.633432614125751,0.4380193330658827,0.43868675756858155,0.4648035225129487,0.521881048607945,0.5566587478988498,0.6311139122994206,0.6079768006415983,0.5731380810773918,0.6632773128451038,0.7300726142426446,0.6172965706817759,0.5969550098677229,0.6357142773510044,0.7546866851515271,0.6098417566803913,0.7364204393788286,0.6698463103127542,0.9021497152082057,0.8858344030646743,0.7748001786656117,0.6978194515507562,0.5278661149410285,0.539671397685159,0.5474728956596288,0.5273282283715789,0.6494195830659012,0.570197868971481,0.6163835943343532,0.6311763873519426,0.5638380696014247,0.5548427590667374,0.4860906280534414,0.5371764038214968,0.46097149812193533,0.48681860546602757,0.45670697594764276,0.5444556726746191,0.6684057013632922,0.8826470678775513,1.4094723640361955,1.646705761552871,2.040011027086057,1.26173733602904,1.0383243994358256,1.3431916087632614,1.0996433801235779,1.1054420442016715,0.9395153392485819,0.6979972398446822,0.969712329131269,0.7411125966472285,0.7431214650644632,0.8987894082378102,0.7251982345039076,1.2144316780531899,0.9129594451619535,0.7774799988095664,0.6953792104963951,0.8042997596572229,0.7667902758005556,0.7148123576267569,0.8921850157984322,0.6938364293215498,0.8665387937264213,0.92775090960537,1.0441818355406403,1.292881416365848,0.9999781545034202,1.120508711897116,0.7805185841600681,1.0796486186383207,0.7137650181844546,0.6730869779750016,0.6983515883907528,0.7240521202072011,0.519865201654519,0.5453155032391388,0.7459748733811397,0.5466019174181934,0.5780872692354475,0.4462164405605993,0.47170240539465397,0.561122647810034,0.5729167567827638,0.6137240864465338,0.6572705917366158,0.8988781050059591,0.8318658600627183,0.7190634864627844,0.7086700497112859,0.8677066268221418,0.9906739407933596,0.705787688159754,0.6323136769958982,0.6719217458103662,0.5620356245536284,0.588685273290953,0.436521032150913,0.46747844865554644,0.43941336410168863,0.46953341466342663,0.5594077512414297,0.5487209871632173,0.42657211541605256,0.6314609694326035,0.4628805907035457,0.3538596497824362,0.3936698977387068,0.3589536014449773,0.5273461824743441,0.5432586788175391,0.579923458189927,0.5722951422938702,0.7214819707703338,0.6597046128299677,0.7417892658324189,0.7445627397287372,0.6836752447928635,0.5742536330616342,0.48390526021030644,0.35042769130690565,0.4376305518957529,0.4198185181856521,0.3904801409498048,0.42567893297017084,0.4505574913745848,0.4573064332709066,0.49212005720647395,0.40952754718254875,0.41712345361566744,0.47045335190090554,0.6526425120988947,0.36586272853088847,0.2924598224997458,0.35982458589950667,0.5718951004963815,0.8277416040133425,0.5230256113585908,0.43394934164759513,0.42859166162221146,0.4854434615805612,0.46317192463928836,0.448434118695411,0.3797389382070951,0.4925123306364513,0.4913632378947353,0.5456918760615396,0.5787204668362753,0.9797986618720047,0.9086485084755016,0.5520747222643843,0.5284876347400046,0.4726711281125672,0.44148266572299205,0.3878032925681604,0.39228630434463907,0.4150142824670225,0.38558506078162963,0.4139010368860729,0.5285196582809166,0.7140556186260509,0.7901061846853863,1.3068081183560598,1.069157526826974,0.8241671195393787,0.6047561846794401,0.4136660613075105,0.40971468510898434,0.38837856971697543,0.3524413543599928,0.3859825949893129,0.43665598754586077,0.44742502943304524,0.4173307000439541,0.377280968354585,0.486544736815412,0.39882891157972084,0.4989842576936889,0.5789976293658853,0.5650709787758933,0.753717099573578,0.7680117368534877,0.9045480863358055,1.2828318596268602,1.173196915253701,1.3382766548578622,1.1353990628379476,0.9915616814544852,0.9131189332108767,0.717259334616495,0.791742651724786,0.7729735179138688,0.7339683130515625,0.6962831876857769,0.756006962174484,0.5958611263594755,0.5376456279428666,0.5224581656534837,0.5462668302291286,0.5270996309731107,0.5657242091894413,0.6273490822340809,0.6589766754596635,0.6162065393857189,0.7473407638220952,0.799118829876827,0.8082117198797294,0.8956206166847416,1.0216349263270856,1.1099445580394067,1.014410505589439,1.0248395189794666,0.8656726890200587,0.7990851009559042,0.8014435267359874,0.7864782084232993,1.1925364280334925,0.9878340160364428,0.9524992090010164,0.7838637780421559,0.7567222861964048,0.6818185339674296,0.8451335384170247,0.9380934837624016,0.7638241404109136,0.7946069775445683,1.0597832771513396,0.9789288521491795,0.8364565803057786,1.0169240478115054,1.1809266580410016,1.050734845244219,0.9507501552223112,0.7339962839849159,0.8259755131191363,0.7950208818538296,0.7334409811668486,0.8100173311703208,0.7605712330529006,0.8587284770883797,0.7278678796563384,0.6461392926030376,0.6605827649873942,0.6325289891665445,0.5832658014227199,0.6153569631554998,0.7057089064658711,0.6605462534660581,0.6425326046112927,0.7391428149348793,0.9852779529726284,0.7686173422262316,0.725263500824277,0.7046941079051315,0.6086821534999528,0.5795734002911713,0.6262612796721959,0.6365799199338743,0.6408331681798137,0.6223397562089557,0.7097908987741468,0.7142640398842566,0.6831927499511278,0.8429627988873393,1.015966391957735,0.8239380782052703,0.8840764833014039,1.046125614356816,1.19428915822995,1.0179887070374678,0.8901548382264746,1.606888604194124,1.355215783139974,1.088296186112632,0.9669604669558104,0.7864640117493253,0.8615745080687659,1.0231670860019224,0.7798769104715451,0.8891094915030499,0.9073161424462829,0.7278263621271417,0.6858400093975472,0.5612290736946579,0.42795450270310914,0.9087299102708197,0.5971564555670272,0.5883110297168757,0.7300905788781554,1.096133293100436,1.0237720110040873,1.176861453734463,1.9538443151194391,2.339435393309994,2.330989535888101,2.3098665022613933,3.3149165015191904,3.350806265752327,4.5735200376622815],[0.8035368138705278,0.8016937981811947,0.9812759501812104,0.7160051349455424,0.641607779780866,0.8100722616074695,0.884688031985084,0.9367950679886597,0.9847036882805831,1.0518902335906772,1.0822852630886792,1.1057410834115167,1.1081057487480437,1.1175691838995454,1.1637343595967289,1.1493228780840357,1.1933993685064646,1.1549091042026447,1.208736012218343,1.1530841581016589,1.1502655868423677,1.154527130725287,1.1902342946717024,1.2623465571015708,1.1762593578777834,1.1621325809813108,1.1537579991721618,1.118629521372284,1.14451147158193,1.139423858643557,1.1399217027612196,1.141198343160312,1.1298961362794766,1.1444874188211642,1.1194859128455528,1.1334890971377005,1.127765911699281,1.1445070554313428,1.0979711051121566,1.083408839408285,1.0905197783815075,1.1747751005168467,1.244772755689247,1.3812061468381494,1.8798357928119929,2.0908867980198487,2.3678081640963358,1.7278767966634028,1.580525755101121,1.7190949222551304,1.5636399262521037,1.554428997510293,1.4730720718787205,1.2632698438504357,1.3816879457001663,1.2463568549771593,1.2072098406492309,1.408633632016844,1.2793655527539562,1.317091125314423,1.2823048182715437,1.2430801811660637,1.2119824279871136,1.3014213252057063,1.3029452502737848,1.199319847754514,1.214643948083693,1.1767444932004854,1.2143840532363503,1.2926224254214764,1.3154497264610818,1.492225546620046,1.2896478412210246,1.3047764721920858,1.214618551877118,1.6948391912001133,1.1792925955557922,1.171175831192044,1.1938804300065906,1.2398327138054526,1.1176171139884024,1.070010259567364,1.2714166646374223,1.1747239810634738,1.1955524129858874,1.0851984342570926,1.074389129678186,1.0967030062245677,1.1463686600683116,1.1498672705236408,1.1579167899426075,1.2940805172377337,1.2301103346620348,1.176579355022063,1.1709860231154514,1.2347663036172944,1.336628524885329,1.1837283355551078,1.1167941355431452,1.1047812830031072,1.0933878491734454,1.0736234110569833,1.0557927417639106,0.9914574736182711,0.8753499243799007,0.8073083086752568,0.7929137820522689,0.8434024770183761,0.6982425521891981,0.968162839582148,0.7034723844042284,0.80530386111293,0.9337989927936343,0.9318363103106161,1.097637904843019,1.1091193125635532,1.0987576256362315,1.1968040421312192,1.2032324887717063,1.1592980085169726,1.2100270454286706,1.1463891849244368,1.1774789809159067,1.0591360693093834,0.9691643534551665,0.8735326196558364,0.7274783786925366,0.7609967103171579,0.7190388748577453,0.7401078491502169,0.7380104394055613,0.7296480882920935,0.8069997210577572,0.7789792586926496,0.8082540415312909,0.8935959560401917,0.8354443806509267,0.8043309005446438,0.877716670388322,1.044689404379161,1.3358097973863967,1.4102613921950318,1.152800123269734,1.0326550021106893,1.033261750818129,1.1069750839826364,1.0563314079534791,1.0477029613854427,0.9760365783093754,0.9885681462114713,0.9409561833292718,0.9905857393769686,0.9920142341615309,1.2981886778261518,1.2162984821883835,1.0457394508702829,1.0608519677934325,0.9969026000136646,1.051098004476094,0.9616053142917085,0.9613581046502664,1.042886748867309,0.9791851444456838,1.0113649996921292,0.9919565917833925,1.0248580092289261,1.1342315321329537,1.5544820837565048,1.2486260685368982,1.1484281749608767,0.9576139321177792,0.8872442464698969,0.9075346926406435,0.9551329483504707,0.9773959080729668,0.9447792474270371,1.0470824575352662,1.0278566404991365,1.046318039799327,0.9829784269497945,1.0457491029300465,0.8710792354688754,0.9035785342716564,0.958504175634742,1.0045054638353688,1.2286814387072984,1.2611269572523127,1.3765121344610443,1.6691325539646877,1.4927261996260486,1.4679750379835628,1.440082799572653,1.2099423087080237,1.1149149691787468,0.9404332968742091,0.9191885733069843,0.9141981079235122,0.8562097939175827,0.758699695598058,0.943565916671242,0.7105734979035969,0.6918578880470244,0.6746077639784942,0.6369724492981244,0.6530504457423721,0.7514531464737095,0.7890912326716266,0.7784681080166364,0.7652871469500034,0.8750275701122937,0.9307204659188104,0.9361631133509566,1.0361404491218127,1.11193587980605,1.1845656449382036,1.0785944034749586,1.0976307472683187,0.8997618872158208,0.8611628123051291,0.8590289337802637,0.7724832918939231,1.118763661967138,0.9096476609682879,0.9948578069937555,0.7383354949824656,0.7011596870581219,0.7678206649117973,0.8482293169734049,0.8293315470495005,0.7159643956815346,0.8018862150403395,0.9875120061373954,0.9013864269708461,0.8006044028180485,0.997773882813629,1.0074174652993086,0.9453289546788985,0.93059020127282,0.7391750966525473,0.9549014097104814,0.8883513152437225,0.9093289909423833,0.9969572377324609,0.9348199529282677,1.0023056029047404,0.8724157422575987,0.8042516887715181,0.8445639108677705,0.8138590680585708,0.7215301114765869,0.7534554835861949,0.8411883690289464,0.819326215640198,0.8004347940830225,0.9200265200721188,1.1210554082542257,0.937182153568085,0.8775763627196737,0.8153198880830985,0.7163242924247295,0.6742980445844357,0.6697294358469639,0.6784696667894005,0.683052315262,0.6387380693145034,0.6944535818537882,0.7256853328454892,0.6895323049722206,0.7713567054816292,0.9426425450507072,0.8014073712591796,0.8233966550322953,0.935265915727774,1.0843956072387084,0.9356348094287316,0.8565164438947411,1.453668019716187,1.3107642091762837,1.0847969740065866,0.9962144154676333,0.8411587590061074,0.903454841607452,1.046294918140698,0.8386236160629085,0.9319054398861366,0.9620747572014613,0.799367573664101,0.6712968972445239,0.6950778113866354,0.6004994198845767,0.9722188868621826,0.7407760177810535,0.7417633878974036,0.9515680685858506,1.0917678028164615,1.0418130920261233,1.2319006521240192,1.9542893480247492,2.3045086538703696,2.3015417667825497,2.3574132057635366,3.512947121557457,3.635983494425836,4.998809071358384],[0.6492141473742509,0.6684265889611969,0.9296790438459672,0.633102374711133,0.5484966501859598,0.563743645359238,0.5158071683655686,0.5080332970353826,0.5036139194228372,0.43233345909846105,0.4472785818079235,0.48512811241281745,0.4033684566945974,0.41646540272049076,0.4483126974965369,0.37028256840980156,0.37866441156094116,0.3737472101580755,0.5429011404008308,0.4534630044373246,0.5387469013695187,0.5813609765600791,0.7686237639132307,0.8013193690321957,0.720969194755526,0.6031222752401821,0.549585878101701,0.3862909460097827,0.3686126351627192,0.365478908160369,0.39700341811473405,0.3908444047924942,0.38730052373193685,0.39389209580614626,0.36739842417704127,0.3767152599104601,0.3582759908185563,0.4068993390509618,0.4146351763907436,0.49708244872675156,0.49624614193572586,0.5842526041772056,0.7133867667820872,0.9422223086955898,1.4729626922886854,1.7771883104201562,2.0074289973181276,1.265467954254294,1.1178212630566597,1.3165799947843184,1.0914328227150085,1.0555972868928636,0.9479057268698885,0.7223932185995366,0.9810338456969481,0.6969273349203369,0.6942794449631959,0.9546379124260733,0.7383698824284917,1.021705206773965,0.8145831095809637,0.6723275689268687,0.5313044015053071,0.6437027986691318,0.679840914591526,0.5402094785885452,0.6449403823715907,0.4572178045708016,0.6514068132246451,0.6331618044602477,0.7850801210998041,1.0604411599124808,0.6977759151099374,0.9047599969909758,0.52643528314376,1.0849608498375996,0.4884773236642453,0.41359411644939703,0.4549205434209181,0.5481922348408278,0.44485266828307773,0.5261273433371526,0.7534622551794994,0.5533124053158702,0.6345766698603433,0.4407247618031536,0.42336938623138387,0.4928526376403642,0.42632760223323635,0.4408955623230124,0.42780447864319765,0.6694963535721875,0.5635507708224986,0.43349445518238733,0.4244013959752136,0.5652662231609181,0.7399844817341618,0.47505359433074346,0.4584277745153108,0.5724894831378594,0.4496577498858548,0.5786252358995437,0.386861206787989,0.4712801624467431,0.467437676057696,0.49980242066129177,0.5779829172423736,0.5452690890371902,0.43105709588508073,0.6472607391437334,0.47076213246745036,0.37438536705609904,0.407589713003583,0.3357923315257829,0.3907694653185343,0.3836517324973018,0.3895843207055076,0.49674272515902246,0.5981704333819841,0.40807395854072787,0.45506867779925053,0.44919012651687634,0.4210614886205413,0.3981908532193379,0.4305068746222416,0.3665323155311731,0.48265657561655234,0.4281153973138545,0.4050640805441309,0.44412854639070737,0.45386481697711856,0.4338357159046473,0.4534842379786185,0.40513778384126303,0.40150293598612363,0.4784514629276483,0.6557496886858353,0.3763464566685105,0.3378843576525042,0.3748583839027025,0.6554027938846132,0.79027312759092,0.4947360285044506,0.38093385889665,0.39306394559890817,0.37001645350064477,0.35153227904723083,0.3685245453199508,0.3446611360740785,0.4576037328949689,0.5094523557931643,0.5481981951861529,0.6119704538805139,0.9679460555982763,0.8781626085921496,0.5094074041974793,0.46438153188299786,0.4590760383711732,0.36505013104342804,0.38246209403044495,0.4011978223420199,0.3566628298196954,0.38536199874652594,0.43527164220745634,0.5338084100925079,0.7435611028551726,0.732414759260056,1.1895542134865174,0.990431035355845,0.8620953640453402,0.61885606148548,0.44073174713510205,0.42996011965879083,0.40312933556895686,0.3602039364069637,0.377152859764612,0.3985784267918997,0.43661983988120945,0.42381071690986916,0.3791632860271737,0.5047975019758696,0.39572969098924354,0.46556413102852384,0.5285714104845453,0.5536675594034111,0.7803783425378706,0.820135871872479,0.9509394409255781,1.34072871876066,1.1653698192801532,1.2536978803009118,1.1037718600953736,0.9332102697378287,0.8763611621307725,0.6715174932165999,0.6934316351656412,0.7071742513200328,0.7254327588883295,0.6399105130484605,0.7854693504928836,0.5760911771355038,0.552290721744005,0.5547469042175301,0.557903158509794,0.5729665303479239,0.6528139416613381,0.7304343882352965,0.7078157108084333,0.6902552616364089,0.8073352902943418,0.8429797699911807,0.8398619645621385,0.9345577524591212,1.0067272861927428,1.0897271327368927,1.0019763265308288,0.9874850343668009,0.8117174896856038,0.7825166406211532,0.769169991003904,0.7068776466664844,1.0606348951311342,0.8998125797149491,0.9741916782261485,0.7496912858803916,0.684022839610131,0.6867249340612707,0.7461728224653068,0.7409839370895837,0.6578070131959576,0.6995561891156533,0.9073224846783647,0.8476734556715081,0.7305537619439936,0.9055299528370935,0.9630816824164669,0.9100141051320926,0.8069021914005086,0.6417596681832118,0.831675677465029,0.720425133893687,0.7572937276700634,0.7809946411756064,0.730865275434768,0.8322069056295607,0.685220901777727,0.6552299670739281,0.685381768968167,0.6545401233303613,0.6592691280381188,0.7120468209960642,0.8042324440331717,0.7540835942050648,0.7325867152718664,0.8339978095933651,1.0761028144171396,0.8400305076964765,0.7820331710662343,0.7318829995174481,0.6478806587953696,0.6322811286472767,0.6255314771514787,0.6235012265752294,0.6175241036151328,0.5821934250465223,0.6330133989051214,0.6738857172542332,0.6311520196705858,0.7163801105733024,0.8898908882492853,0.7643899886001787,0.7700062713825959,0.8718911389678082,1.0350037650168744,0.8920805794419896,0.8142238187099401,1.4223062463894083,1.2965729189192443,0.976879510651802,0.9051031153228152,0.7821371904462296,0.8229305622899984,0.9788579993908826,0.7934032435234833,0.890484806077935,0.928313333211023,0.7803777979147027,0.5928336781639781,0.5679994267339609,0.4345136174206507,0.9176035495836655,0.6209815325778976,0.5968364719928171,0.8404330120097279,1.1714326762880383,1.1181704335302602,1.289144118695959,2.0517889678031787,2.4587587134538644,2.405075813894452,2.4142812355542,3.458038251105841,3.5291039835402733,4.798666412947042],[0.68935544834289,0.7144831635604403,1.0016647927502453,0.6031860833512176,0.6291220109636212,0.47780595332089926,0.48872296579147756,0.5030712849930867,0.5445548448126851,0.5662552109829139,0.6200541286064021,0.5978859754394311,0.5684378193183348,0.6481148124255095,0.6834353723762776,0.576988179124231,0.5577289137988078,0.5781691592888373,0.660057360670081,0.546405402155628,0.6744842784281182,0.6225091125730715,0.8480017202761637,0.8177572557605569,0.7461428778534438,0.6498804618276981,0.4905874681710292,0.48830214282153656,0.4928262994628937,0.49172913511850186,0.5839137875580002,0.5195314606317573,0.549208200272412,0.5559471632609876,0.5190460116824439,0.513258378207805,0.4565542988810957,0.49593648802206675,0.42372228792300626,0.4776502548764112,0.43440250516527584,0.5138643622135356,0.6599288323948489,0.8844418581626239,1.4170023654623365,1.6969880760069673,2.0348684796272907,1.2569070675342071,1.0561033052192372,1.3314290405351972,1.1078260995402152,1.0764180471615201,0.9399116198055342,0.7047203327356925,0.984839400146599,0.708361762952245,0.6966341583525817,0.9147240530104755,0.7139628114803015,1.1401128598799566,0.8652005970720082,0.7393128671250959,0.634717567948225,0.7229266337723548,0.7051115356108255,0.6563255142456078,0.8129951828994211,0.6049311659841825,0.7761073350790784,0.8329601753820091,0.9686092291147529,1.2166048846455657,0.8790122968304466,1.0011715489956154,0.6999673367997495,0.9938403149771464,0.6238763734179499,0.5841179353541879,0.632118547779042,0.6832408985320811,0.46416250845221874,0.5202108831652996,0.7086601747940355,0.5905191067711425,0.5974660392950913,0.4271569809554243,0.4310035070421972,0.5325036892547907,0.5173789852861175,0.543269922148132,0.5700767759838021,0.8125535577295113,0.7529479596056307,0.6250295815999706,0.6321305583121747,0.7814512680308631,0.9572250990635819,0.646356312585048,0.5955489124957524,0.6179041744542202,0.5208357875842389,0.5604982357223354,0.4336852391742735,0.4767517319550204,0.4458910008848335,0.4921094286686741,0.5635405845067768,0.5640461749442223,0.43255347312346976,0.606626783392553,0.4607887068903689,0.39080096515584517,0.43615560661261144,0.3995170900988344,0.5374246276770175,0.5571708114431584,0.56833099073347,0.5462387177953365,0.6498981025214458,0.609819863852918,0.6942627492981316,0.7251222707902095,0.6996618026166197,0.6066004778116638,0.5279375159199565,0.39249024913817865,0.4561188574568621,0.4476181357097786,0.40605337038566436,0.4501119370112719,0.4418701461440868,0.4564109621572529,0.5029382817630711,0.4272823413322098,0.431652749955758,0.4482625212934586,0.6365777873832555,0.3748363902762859,0.2880234255366424,0.32462981099526445,0.449497601859648,0.7667474769288832,0.4596534957665237,0.39061976458640635,0.389019779500918,0.4471025956748626,0.44382005071244157,0.44057721048742166,0.39687270506686095,0.5122418069461511,0.5134943301006752,0.5433527003005976,0.5653149520188988,0.8610908620013448,0.8526736860879214,0.5291998834677785,0.5188991172082006,0.4758954949868168,0.4323923381015975,0.40654564190980386,0.40488764960857354,0.38949287445874964,0.36613643170989313,0.4145132976709983,0.5524118102762506,0.7240334068136285,0.8096800126897019,1.3167047479334222,1.076206096913931,0.8496195537979919,0.6276874080157552,0.42521048483056895,0.422860228261521,0.396226318683533,0.36487508002315416,0.3823680937079946,0.4244015482072056,0.4417836120400292,0.4357185053143194,0.38693406559672494,0.5132960640385972,0.4135890271232462,0.5177247452925492,0.6053615081566563,0.5901971502229492,0.786625359816987,0.7863861752136098,0.9253066774248412,1.3098762956376326,1.1833834665219973,1.3322928426011735,1.1401865698860663,0.9856457057182888,0.9096947561532956,0.7194223343264121,0.7717910918872192,0.7576644216620715,0.7369136940885268,0.6601650374743677,0.7487370093153831,0.5732720973205084,0.5253427750116151,0.49735307579428667,0.4682164915970482,0.4575171692788813,0.49899966058726863,0.5433160460483937,0.5595202773443928,0.5078511542629434,0.6353221696202245,0.6849519886402468,0.6651820124403293,0.7565042333636214,0.8737050387474753,0.9684834996337824,0.9006472151853383,0.8467114139622632,0.7364431717398348,0.6720645423587207,0.6633528593799852,0.669780910110179,1.0851803607345496,0.9319000143967894,0.8079489707315437,0.7142920100778896,0.700853261993146,0.6648566882001584,0.8308708394692348,0.8316021787074838,0.685618581636328,0.7806341009835366,1.013652773045765,0.8703979340778606,0.7833622522629005,0.999940168940153,1.0337041371345301,0.966739303037427,0.8838114321419968,0.6844553486496532,0.8553007080244801,0.8098015096357285,0.7542229845935744,0.8318560825435007,0.7724953354452897,0.8579021907939057,0.7172900372818539,0.6407799326990273,0.6463629152099124,0.5872560553268692,0.5509583087534022,0.5621116764504698,0.654140123843965,0.5890501110141155,0.5611132742063357,0.6389368557651209,0.9148815497692985,0.6451746227252845,0.5929834400333625,0.5691505975295175,0.512771238098726,0.5262809832776223,0.5837510140256068,0.5313120641437235,0.5253008767572199,0.5353338678236121,0.5959578894579746,0.6038294503065217,0.594420815534243,0.7303087515152222,0.8678978947283887,0.7183657680499861,0.7762694589214668,0.9257564178170236,1.0529526751244043,0.9053166211675293,0.8080412452922116,1.5415164926346687,1.3536208811856716,0.9567454683737365,0.8595772227700353,0.6837635785791394,0.7398398176258338,0.9522416181057508,0.729607006455213,0.8178833086502189,0.8383889503471225,0.6537216496717465,0.6841647878152685,0.5154964451272113,0.37218598823118626,0.8797218302421326,0.5190095991463421,0.5134926030331523,0.695335891510286,1.0525785523324176,0.9604313178925538,1.0163685510805098,1.8427873669609802,2.2752921796436656,2.1262146497176704,2.130312800357383,3.0821181259369337,3.1737233832550333,4.493525120294001],[0.6466722114131824,0.6619407963439395,0.9283530026609756,0.5992747444783223,0.5277540145703297,0.6925908949289564,0.7872611135368548,0.8236213151343185,0.932631581651209,0.994125705299702,1.081633161226208,1.0366051629195154,0.9959695940230355,1.098668768938685,1.144640997036072,1.0182472801809836,0.9558971670772453,0.9506574675321127,0.9395165816443124,0.7892705964136735,0.8471384962800537,0.7387465076558802,0.9156777464423548,0.869350786773724,0.7968159240263384,0.7739092829185477,0.620912738561402,0.7716857247064645,0.8307543202669906,0.867783480150515,0.9892954822539098,0.9272375015527213,0.9872892883350274,0.9470210689530275,0.8684766270774644,0.8390423856914946,0.7752554890907634,0.7432245233610536,0.6031054362626252,0.5690261717780344,0.5271478034405507,0.6134463232079482,0.7077126676462182,0.893717356536838,1.4394725386127307,1.687506505068799,2.078338932788501,1.2986845840137817,1.091493172139126,1.3922197493555832,1.137339657937925,1.1650506698571583,0.9836471423775845,0.7357482839944954,0.9687353404013744,0.8042586673847781,0.7820138866077071,0.9059817664400065,0.7814403168305147,1.2381783139944496,0.9660016162369377,0.8688255438035859,0.8424472968942067,0.8938110376056949,0.8222305330453468,0.8446226781896696,1.0244375093452387,0.9139424413304424,1.0517041418657564,1.2051334135013256,1.2911230303836765,1.4941557932588756,1.226979102977569,1.249504870338428,1.03121412566277,1.1502677141587767,0.9142707282308724,0.9071309677606603,0.9241059506383992,0.9126058268959742,0.704080375727452,0.6736722539066715,0.8293901840824993,0.6167203351172579,0.6392046187151071,0.6078968995263081,0.6431922671127893,0.7570850379678891,0.7884519364721408,0.8624667386427709,0.9159357282807917,1.128469162446696,1.1217585044952707,1.0626980908619907,1.0847001126465974,1.2469781636800827,1.3917264630291533,1.1090742086002088,1.0540314505420263,1.0569127896007535,0.9259849112464295,0.8820468996750871,0.74281367986961,0.7299998915358828,0.5723340482791459,0.6006716566648118,0.6013844931610988,0.5726053461080328,0.4192461432429029,0.6202732592277993,0.5061301217719955,0.5326315979682832,0.7233590442611988,0.6568096145117651,0.8983791917463391,0.8789274472604354,0.874031431176273,0.7905848811292878,0.8884100066815027,0.955764598354173,1.068783489674726,1.1387644094608351,1.079891527006853,0.9741070295881025,0.8700330650780594,0.5831919974450773,0.6143857800714293,0.4653288891692715,0.41776159382387773,0.4931841642881709,0.45860435901266,0.45200314405090686,0.5025540742606267,0.3858829415935366,0.4116897375630324,0.5010513526675268,0.5693369423698156,0.34145664430427974,0.36266626747335784,0.4844360482758938,0.6584729027648291,0.8824138156460963,0.6126931684133433,0.5692935621187927,0.5552631618009277,0.7186524006188312,0.721548704812024,0.7496188797187326,0.6947300187583433,0.8570985322205525,0.7901599538881551,0.9151798092368706,0.8682441858730486,1.2211627278823665,1.222865690855065,0.9367169515655688,0.9228061905202191,0.8321143543011711,0.8034495813608387,0.64737367150132,0.5506820381860895,0.6343209909441088,0.5160903207488314,0.5135921696143563,0.5568793409304199,0.7701325553059978,0.7948558348221618,1.3754414003700441,1.065502619321173,0.8146858030550608,0.5994652124414306,0.3949961469200102,0.4235478911899101,0.4544201330239281,0.49684636218107253,0.5971159057396029,0.6965806352155731,0.6704796241310228,0.565332129325724,0.5061391886809212,0.49413389553785314,0.4598450179386216,0.4945454103832886,0.5639790008346484,0.5481842021776747,0.7659791893243637,0.7923516508396755,0.9503321498561323,1.341468727694222,1.238691130700419,1.4124696695747296,1.2545001744776614,1.0502310230921048,0.9466494515825767,0.757620056674939,0.7893709268951307,0.8057478129148613,0.8043088051774877,0.6487672383744996,0.798399688926628,0.56315162218361,0.5389056776160982,0.5121044743436483,0.43526569060763326,0.45157746998466664,0.5447753152626496,0.578731542116231,0.5539826135710952,0.5495403613784066,0.6921679446981427,0.7131171881143279,0.7004383039467058,0.8348930954861769,0.9293600935310775,1.0053520095051733,0.9150021591316696,0.8611776879434747,0.707138458206011,0.640258940678847,0.62585817336459,0.6100950141875856,1.024847804010343,0.9031037516883413,0.7602350263019949,0.6775622234901661,0.6633495101939059,0.6751759434325856,0.8162070048438451,0.7766275301634377,0.638443253211812,0.764914645334219,0.9957015745550938,0.8269963932073965,0.7607146837553561,1.0301332310595197,1.0038387256498018,0.9392115247516792,0.8541815463310055,0.650803215144628,0.9306367588139371,0.8364354019400142,0.7963345648555781,0.848697873569022,0.7928990768200097,0.8437158587961635,0.705979128170256,0.6537066373770318,0.6715860972246601,0.6291112158247828,0.6002925495902979,0.6453812567377522,0.756824336639371,0.6750575523364138,0.6332815476130582,0.7332929515878776,1.0154835038217151,0.7132532645640198,0.6350996938892648,0.5704383502111853,0.5100200683737139,0.5372904865625312,0.5631396014142691,0.4823762688115127,0.4725602930130362,0.4922718452724468,0.5273662295985295,0.5490765816703608,0.5406597606279867,0.6746097000682193,0.8098859510346083,0.666675622184812,0.7287188127944743,0.8882465083665838,1.0229659599202252,0.8755544897534393,0.7733770076351356,1.5247909835808189,1.3316767620950076,0.9293404959559035,0.8371279625678708,0.6666193821986727,0.7348232986324478,0.9328340171112857,0.705155032184226,0.7953280672713462,0.8110181310484469,0.6283190640261113,0.5632651537103182,0.5016952822413335,0.3639494440804717,0.903411507637328,0.5360807270136296,0.49492097058052376,0.8599902082938595,1.1942027921331648,1.091566439927958,1.2272251529920655,2.0881482932334463,2.489271318504006,2.3086016086168124,2.3813865779681627,3.4664973977936886,3.6009640541726626,4.973812964027671],[1.1538693512457123,1.1442777261925035,1.2976484794491263,1.2958249830303734,1.0033719068450357,1.2827958988877741,1.2530782545669121,1.183022428958574,1.1556983809710941,1.0231375030441858,0.959541749610456,0.9894907456855265,0.8770895227970994,0.8420141036143668,0.7939260032885724,0.7428282396917943,0.7206785037607981,0.6759922023892556,0.9057254870490293,0.8124342928179593,0.9021282504622049,0.9709654158807915,1.1871472080690912,1.2528798753683474,1.0584761325416239,0.9930929951965314,0.8934566458862822,0.6968147967799045,0.6814724678581434,0.7165811172485215,0.6768998430668457,0.7324785289597278,0.7388545859891771,0.6946246907344966,0.6879104019522881,0.6938161306749102,0.6790063966611138,0.6795477029078205,0.6756267613186263,0.7030609279012558,0.7496198231908866,0.8803964628105427,0.9918890385374773,1.1800083959305552,1.7086091846601357,1.9585882504776073,2.159851690874046,1.4805326375336931,1.3366935629654102,1.443651768900097,1.231245201465493,1.1841409037200257,1.106445022246595,0.9444686911741617,1.1724979971170004,0.992870391633791,0.9847865102005788,1.1533469680099593,0.9908822358643218,1.246807233538885,1.1145547498391721,0.9191918165944266,0.8440601484400898,0.9554259440408087,1.0323163247296803,0.8249918797142323,0.9755368272285622,0.7922705210680776,0.9379962022064854,0.8867934957867667,1.0153661631194844,1.2234832978423071,0.9246885663829766,1.1942738674319744,0.7635907768304684,1.2420051429474401,0.818801452920585,0.7563654586711612,0.753266424416348,0.8226909702056447,0.7116051492313885,0.7525357022075861,0.888180519039149,0.734428419418922,0.8067934635595949,0.6913443543012099,0.7017834161701083,0.7512446192288166,0.7376357054318773,0.7075298371619319,0.7128559679059648,0.8657307522605663,0.7880845293449469,0.7035647926109981,0.718304647788894,0.8275181601237995,1.0240789027942265,0.8592561401045966,0.9111508157271329,1.0284194961945328,0.8699075140985256,1.0245370647282261,0.8003198106800345,0.9209633839145336,0.8028511557658118,0.8908894065339565,0.9130643412691222,0.9534101864705449,0.9221675742709593,1.0116070306296283,0.96468414369117,0.9025815918544775,1.0738812839122072,0.8956683407002276,0.8763955287632226,0.7864771905061027,0.680851014633438,0.8202989517413556,0.940562810265622,0.7106997471939448,0.7397218458169449,0.7635916501873827,0.7808343991569952,0.9808148075393507,1.1616365040221002,0.9711860416267336,1.1651782527398118,0.9065092944939139,0.8995037376600107,0.8247252368583138,0.9116228076077341,0.8419080187003649,0.7441991227549205,0.6614585725019054,0.6879756683032536,0.8394711098978009,0.8253208039070707,0.693594976202193,0.6460899645598532,0.6518385101754582,1.0444268358315105,1.126992325125068,0.8464823865219682,0.6357557998743056,0.6433417445321741,0.6549038715784501,0.6600511238842598,0.7475984522840686,0.8374237872371213,1.0277890343856835,1.0884120327984559,1.129632530189457,1.1222098148986652,1.4325141705890243,1.2714790946938435,1.0433164866668438,0.9888241344494673,1.0169614059913756,0.8650646633962451,0.8675684859711275,0.7293146689719594,0.6647425508119572,0.5966588267330764,0.6329167680717995,0.6168928357717431,0.831087956494681,0.7890661563935943,1.2191780596478734,0.9670408490165524,0.8661859637102655,0.699528774204937,0.5772434616085176,0.5823665535859768,0.6248364447697516,0.6321257210950542,0.7050818872136717,0.7209804110920063,0.7163043809892635,0.6599579599565951,0.6397753085834846,0.674405103305451,0.6787352669817254,0.6399721217804067,0.6464666983035859,0.6766805961610755,0.9090316406141022,0.9917697001012675,1.1033320066295842,1.4292217351221546,1.2684082884494159,1.2830010761505766,1.2176851127040833,1.0272390290531046,1.0034796012998146,0.8604955266705241,0.8853205172358306,1.02031131637825,1.1458859321400658,1.082184888377312,1.2479427369303855,1.0921890440281823,1.0518728694624977,1.068117710420496,1.1099096565530655,1.137448673528706,1.2153287277320841,1.289576487161785,1.2478516513197075,1.231030210994898,1.2910464581688514,1.3172218625625374,1.3096664594474543,1.3652928178760726,1.4122964823722421,1.4753843445173027,1.4695570850986728,1.4132496466261077,1.2931485266775355,1.2831245101594821,1.2789067454558984,1.2235499572589348,1.396328457349858,1.367387221416342,1.3096731749681474,1.1816955890040217,1.1232103890673224,1.1764093861995066,1.2162112927032207,1.1498884038970218,1.1216801207574396,1.1159707796392988,1.2217956709171414,1.1985431846423553,1.131683059208115,1.2720314109148445,1.2149731577103793,1.2692850447334636,1.0968184056222745,1.1027012103927831,1.2332545897293514,1.1309839807565207,1.2288024118274752,1.089469754072488,1.0684666256339332,1.058550627913851,1.0368419078784723,1.101344428248617,1.0486549949778088,1.0707271320486185,1.1788460173677417,1.2079428954848321,1.2464126054280662,1.2622389320281178,1.2629375839073524,1.297159659120515,1.4935610221472888,1.3351287804840593,1.2889425661850213,1.2466966039993235,1.210721637914106,1.2016500954626592,1.1829781528553334,1.1750524815977563,1.1553927334371497,1.130743320249581,1.1497867446165342,1.169184169756054,1.1450787502663822,1.1585541671982365,1.2673751777754514,1.2482858119034697,1.2277047296588932,1.306966493599354,1.4319233686341715,1.3507541373360075,1.3159848657168443,1.6984020845629888,1.6467430684685869,1.398872094407118,1.369563730359685,1.2870676871403246,1.2737880886746717,1.4060961469020616,1.3155820449172442,1.3736349953932496,1.4023577089341537,1.3208355788905162,1.1028242225357394,1.0834576578910307,0.9963341306840524,1.2650811104199693,0.9634181943440318,0.9817015079285999,1.2942846542407953,1.5034218781495101,1.5121637344261085,1.6408685743475768,2.3428501284944585,2.7694741556253653,2.613920475058248,2.7202192414614172,3.8736340304727963,4.004460050848037,5.431813719250206],[0.6378980721858749,0.6519964184332219,0.9353660619710583,0.5191904034602621,0.5495555228901948,0.4912765103484614,0.5026182822985449,0.5127704377378587,0.5320441353048795,0.5488000727803215,0.5757407414861951,0.5590343242705398,0.5674909062216402,0.5812553928914095,0.613855598079782,0.554060872150398,0.5446478342414547,0.5178791648299028,0.5669884704086013,0.4872219132118516,0.547062182313586,0.5252019983272914,0.7406756594082726,0.7151349826664212,0.6620886774436372,0.5489791749761305,0.44907899390730777,0.45354714193561646,0.4724417928648387,0.5052273623972651,0.5347232616135793,0.5113098031167157,0.5256307777153421,0.5332359174704745,0.5043291274037244,0.4834042897783569,0.46241134777746595,0.4633360598673988,0.3996626546824938,0.4310698099612567,0.38233540618256145,0.4650443916904166,0.5893989700339847,0.8318873265145866,1.3317346939149404,1.6732542946552094,1.9072059254993659,1.1413835691615135,1.0032943325479606,1.224007147497872,0.9890877394564953,0.9953979367635021,0.8554282534142669,0.6334400075854251,0.9250227458302264,0.6347144243915542,0.6488504865152087,0.8699017762464901,0.6847245549640285,1.0609367658528503,0.8066318687147966,0.6929141751439789,0.5723582077171916,0.6192535745055073,0.6467639994913157,0.5788632762724865,0.6937617400938961,0.5201028788335436,0.6809397648769028,0.7010948146575734,0.86538234219526,1.0915084650717901,0.7387501946509497,0.9107942291347885,0.5955189115767153,0.9510317174164,0.5614086968570914,0.5273516906959589,0.5779020011097719,0.6133512055173266,0.44846047975661535,0.5142187363972996,0.6975686432566658,0.5246180399319925,0.5445202122104048,0.41931664877750974,0.41437533744215826,0.534574446654135,0.47788054708635364,0.5139516650992494,0.5332512394446083,0.7298452737678229,0.6856162686499473,0.5705632618914308,0.5807579077428404,0.6953416099679565,0.8931023622123136,0.6170497527722839,0.5877888291443176,0.5972947126078222,0.5283474415276298,0.5923408689320518,0.45278306886067266,0.5071462225464934,0.4353537765003544,0.47735171929551823,0.5180886231248324,0.5187486930504566,0.3471090529423071,0.5294328283317266,0.39576100253308716,0.3626511028262293,0.4669798673405744,0.4327501904018852,0.5763702233734767,0.5987861616349984,0.5584238156511246,0.4979391985766466,0.5598701068386189,0.527516242471303,0.5790489593437442,0.6497838253241082,0.6372969632398972,0.580675157876199,0.5143475581338081,0.410216022512566,0.4575362186296148,0.3883693143347342,0.3570476378602729,0.4125679910584128,0.40341687095293527,0.3752976995042146,0.4105105963196872,0.30347633093321474,0.32133457844550134,0.43932231678730455,0.506057452745563,0.27648751134684274,0.27633524099337026,0.33636706923999476,0.4268795067972738,0.6958453901617442,0.3901008663081361,0.3585197865247867,0.3619206751099014,0.4389322214122598,0.4531499282860526,0.47550062415568306,0.44451965503365803,0.5463034746961289,0.4994194546051398,0.5536445227860917,0.5538158428399543,0.8004317665697932,0.7949247878280943,0.529644466770709,0.5313555088912979,0.5086154046551005,0.4630759807737088,0.4328359062870883,0.41533143457794885,0.42024241382632965,0.3605738832841146,0.37379501003816934,0.4437228305701573,0.6608122228080504,0.6569456524517588,1.130674939547716,0.9022832160008107,0.7653012541692881,0.5104961722959274,0.3238859930961792,0.333424070555009,0.3380827394754088,0.33848314986828254,0.39587845961109897,0.4365635324959461,0.44362388719698903,0.4105820957591476,0.3623847190470634,0.43119213920411353,0.36250222456994846,0.41996541045532765,0.46568699190481916,0.4689252694620275,0.6629863998930894,0.7039904376286756,0.8208275963010133,1.2566188008361479,1.0623655243736803,1.1785602697403372,1.1493562810938946,0.9323983612063971,0.8567461200745394,0.639971314598277,0.6439049181987655,0.6847374140003617,0.7568992657858128,0.6113800470995712,0.7796275392151206,0.5465084691152338,0.5147736398503494,0.47086849210324394,0.40354713368696593,0.4235086278224484,0.4627846375285355,0.501193644748368,0.4883774832327314,0.4537943618635596,0.5433032280986538,0.5948649526413029,0.5559347513487024,0.6476037250626349,0.7729065143699715,0.8477266929908343,0.7791860015852515,0.7463164560754694,0.6376909168016769,0.5819259827730955,0.5743801392555312,0.5788976551536505,1.0051163554700988,0.8867502592689127,0.7165478718982399,0.6500117853997736,0.6306637860288792,0.6725668385958682,0.7926538616899661,0.6989433756716543,0.582928320988572,0.720583680862056,0.8979498903153824,0.7244036283505473,0.6862109475469732,1.0011470277317034,0.8389678071168276,0.816776053516432,0.7282871289290165,0.6000919525597652,0.9006097371585853,0.8013500053058501,0.8130502012031411,0.8618106100334771,0.8075697839209376,0.8463235849486714,0.7009556382414075,0.6334090790132727,0.6493548896275461,0.5740735154191314,0.5403340543164024,0.5502871895286936,0.6257773346720312,0.5612890346846022,0.5559855206689125,0.5981396034440095,0.8623927594264602,0.5746014963285443,0.5120497090480508,0.48438924417987395,0.4665488324608899,0.5139900500583123,0.5692958212462147,0.4562302866544678,0.4269181406688608,0.47675243473599127,0.5001359233627656,0.50630298238194,0.5166960151208824,0.6195440914927064,0.7262353308752403,0.6362887549697486,0.6810082102108884,0.8147973047117218,0.9522393013562703,0.8396338079464601,0.7912514521226869,1.4708399814442776,1.3589517080115026,0.8593969504128204,0.7612360251920824,0.590012164665853,0.6144929312936942,0.8450508741514937,0.6679127770494673,0.7841642037516375,0.7955501141818451,0.6216929764949047,0.5367498680461449,0.4632362330978047,0.29798103487189037,0.8757008347623797,0.4553355721554221,0.4355828365208356,0.7274984921230239,1.0313122485865398,0.9044426143740313,0.9408032643641834,1.7685951006990517,2.1833774388274567,1.9305735324886113,2.0129546804509144,2.991642621907147,3.228296834469137,4.659996274094526],[0.6921918640834077,0.7460011470462623,1.0385823320718792,0.7538508623535553,0.7014923651348256,0.8174055511903913,0.8295687989141662,0.813347668821882,0.81537138305511,0.8240134684467805,0.8481109562284913,0.8280643012241908,0.8034542609869892,0.8382730750481151,0.8508748704556165,0.7711440403904929,0.7407293851935987,0.7160343369258284,0.7596425416948476,0.6293519558487618,0.7186712125657347,0.6815883882277491,0.8973315378557647,0.8855524492722976,0.7816289971835445,0.698517009158966,0.589379023620355,0.6203402832926216,0.6419657290855412,0.6890196194579499,0.7297896296853038,0.709619004301238,0.734650913742096,0.6931595992403616,0.6590617231524852,0.6410969706269039,0.625024669247103,0.5901194477454514,0.5280535925795108,0.5633715221426528,0.5109627691182844,0.5642408577816557,0.7230444212455359,0.910197268382734,1.4415287501641705,1.682760063584697,2.054517507587654,1.2777747144289209,1.0624938460990228,1.3524299918774385,1.126074185480149,1.084480491242113,0.9752517021673978,0.7615216205515771,1.010370409705522,0.7926097997478412,0.7609223674384663,0.959715837118681,0.7415745140936376,1.1979921277242869,0.9188399631472449,0.7891082618082668,0.6990220742980022,0.7906793454243309,0.7553527488726192,0.6980012317154167,0.8601017104115533,0.6857538542527577,0.8447688618490851,0.917399758220726,1.0636965319209257,1.3397888884607414,0.9576614544081168,1.0539936418934692,0.7790736902294321,1.026024714902684,0.7059166208955081,0.6949051307088249,0.7081664378918462,0.7288121910955162,0.5782245816334669,0.6185000508396059,0.7530379920821155,0.6393901930174836,0.6762178988587008,0.5717568719366503,0.5494531088893463,0.6574828116274123,0.6236013923968801,0.65141257090097,0.6893769488665811,0.8747766231703827,0.8522343321253943,0.7648783948581598,0.787658504629905,0.9207849460859918,1.096682050989975,0.8456605134224174,0.8363385835458449,0.8506413635012985,0.7515099020854713,0.7679939993875817,0.6471521261053966,0.7311044391038846,0.6815471862773966,0.7329871051097828,0.7813963248001797,0.7879171166226039,0.7208019681999991,0.751095309907028,0.7092295971056967,0.6785577518839164,0.7740430323886739,0.7259977741504595,0.7925966181154062,0.806973451845438,0.7199326569497425,0.672390084421022,0.7548058317114446,0.7245208824607275,0.7973443838572779,0.8821896911555674,0.8891744586445786,0.8320946019416466,0.8210408725583584,0.744838470340509,0.8017393495757513,0.6936361200967492,0.707238165801318,0.7313390786252012,0.7732876631522593,0.7445899371390358,0.7181205911225341,0.6075532813786626,0.6322045056916227,0.6673217143720471,0.7538966933871551,0.6564123134091119,0.6802234345899151,0.6067706726785123,0.37729489270266314,0.7479012865744138,0.4901581162847273,0.5211807139635712,0.49229004273221866,0.586310273909558,0.641878760746471,0.6755620845490783,0.6973418283381285,0.8119677732703714,0.7963060278189329,0.8455887846988538,0.8053788111221134,1.0128048239885385,1.0401400883845657,0.7925829268721365,0.7926884959996733,0.7724156375794013,0.700045715228794,0.6829913183922589,0.6412904493833825,0.5970056439554179,0.5576049218216352,0.5393334748765793,0.616058022235149,0.8934239430686347,0.7913592092233447,1.2788559427993282,1.009160309517207,0.8026430339298177,0.6953889731571138,0.548869055025329,0.5344008929546455,0.5390339111407231,0.5445890497089195,0.615804578387091,0.6321158983255204,0.6266587715403811,0.5769425132308414,0.5431517951744137,0.5730624380529726,0.6086855059737925,0.6297850961344288,0.6665552458954054,0.6288660156216695,0.8301408101545361,0.856464384364281,0.9662768601672105,1.294122945928583,1.2614598392726062,1.4239849572909191,1.2536305160568586,1.1192437318701216,1.0660789238533082,0.9218346603333055,0.9570808247516449,1.1167631583249429,1.1748543932898305,0.9750904304799358,1.082884826410851,0.9330956979485954,0.8717829691852697,0.8076633566575202,0.7885729815784494,0.8049119422218685,0.8181786683517278,0.840739356654012,0.8200351968946292,0.8117638379492463,0.8543325325274349,0.8747062784850296,0.8503536009183627,0.9158581448508122,0.9761437948891549,1.069213879015828,1.042990259626103,0.9745460887132015,0.9549285294807026,0.8806867191423141,0.8735292547153555,0.9125443158496591,1.2231283417687555,1.2410281699655699,0.9041381924245472,1.0016893760038263,1.0291467860244778,1.0511941037318806,1.1716229010208885,1.045430096633357,0.9619090936081856,1.0998337619862364,1.2638405518242513,1.0819669098063607,1.059736522914742,1.2868910489543282,1.1849427831118435,1.177757292026868,1.021121022239992,0.9746931338273599,1.2879178448401072,1.1497934423642506,1.1189050422668652,1.1117336576001835,1.055405977249236,1.0227947412795755,0.9682531818433809,0.955790032125267,0.9029830405204463,0.8660326911854638,0.8976116891036882,0.8933650173992373,0.9401865438027566,0.8831018913553329,0.8891857599140569,0.9025372439823344,1.123151519336737,0.8726326881117755,0.8362000457604266,0.8195260377639507,0.849153420194333,0.9098632696649542,0.9368454344883314,0.8657482281518041,0.7608595839499539,0.8708272705030097,0.8712149324510341,0.8662473528274913,0.8748103739747325,0.9617235243892999,1.002469759869898,0.948202888704852,0.9936854860073067,1.1147561067348664,1.1866481386200627,1.1006945465214917,1.0322733730492046,1.6591598742608527,1.511342500564181,1.0721695427353177,1.0066505834257105,0.9080031429660694,0.9152375597635117,1.0803112940123585,0.9550273970215852,1.0030417082192262,0.9793295806504206,0.896945091096534,0.752906824784846,0.8001571550957338,0.6787409384007178,1.0655251377682904,0.6797641702131874,0.6441601820929265,0.9626484851074629,1.3097986802052286,1.1764386465387378,1.1762313731290792,2.0317149446728062,2.461114996887197,2.1914240249845904,2.2761531072148355,3.2656209187492347,3.489758670541738,4.867094187808985],[1.0990614242778098,1.0616067675275482,1.1497322173784272,0.954681108497244,0.8164544249929087,1.0533604525816782,1.1060569450192317,1.1020706904533617,1.3136151385968269,1.3777418507074843,1.4583707577243652,1.3661345595231933,1.2872507023598754,1.4510793001970788,1.4117213455556472,1.2272217759729347,1.2121690029583116,1.1404068604070408,1.0912179207134565,0.8911570081949581,0.9521057795579819,0.8567298733648996,0.997968569541745,0.9783061977610941,0.9209034042405259,0.878457151933095,0.8068293844387006,0.9023507396899045,0.9837132583612055,1.0240537683887314,1.1865497790087747,1.0816127805759315,1.1394092673342258,1.0646983411339639,0.9760929146522747,0.946080465974976,0.8954244856425331,0.8136728045945201,0.7360014402136682,0.8098841106564497,0.8275402885046268,0.8046832180679924,1.0096711089726274,1.240303284080138,1.80692906378165,2.0962105103258133,2.50928628182196,1.7480909137286311,1.4953043128285903,2.0039693467123665,1.6762735330119214,1.623929866659031,1.4454902246967198,1.0899343664831391,1.2845953205337377,1.0839203413521983,0.9858717918981926,1.1810143618314901,0.9879137992192013,1.3262487534150718,1.0782637825764256,0.9659507095069662,0.9293361584025168,1.0118957850287778,0.9291466717133706,0.9372718581018673,1.1673656700736994,1.0543958898751769,1.2308724256671215,1.398869212405583,1.5696393557282455,1.7887985416877799,1.4552194962601426,1.4140021380976313,1.1849575142402031,1.3502888269067612,0.9784165817317454,0.9769563639358188,0.9313527418336814,0.9268860888565702,0.7893823192019279,0.8056969178512383,0.957950443259819,0.8851316071700995,0.8611899794651283,0.7630669888623534,0.7758660080083861,0.8612509147814792,0.8763088733870664,0.9572861846335747,1.0570812050385858,1.230704293039353,1.2756362956887257,1.2364306930596023,1.2982157201007707,1.4710879400542558,1.610290388241874,1.3162555883385134,1.2792454224621292,1.2696238057664655,1.093151027979452,0.9949747969997038,0.9004945274763829,0.8317981893744659,0.6853214079212848,0.7303256331760584,0.748425826512851,0.7129462997550722,0.5600286574444123,0.7394605982731732,0.7120084868606837,0.6807120478511463,0.919916380969188,0.8498658320984525,1.1631431180643366,1.15591527408882,1.1119095791194884,1.0435621793139156,1.1204578653478319,1.2100703845098697,1.393860199630732,1.4787359534271833,1.4945320863379403,1.2857175485342416,1.1681286593171445,0.8019890926128028,0.8625121156905537,0.6683250859621929,0.5946058901287764,0.609073846231907,0.6097202970803464,0.6636544867931922,0.8012356242795867,0.6279223717279074,0.665232196067602,0.6027599243212676,0.6558588276815246,0.5064734950236082,0.5519336629592657,0.6238275635704662,0.6723892234132933,1.1297563168020972,0.7162043845539156,0.6934083779613304,0.684394563425945,0.8038033673698739,0.8371963735113317,0.8936853208661953,0.8474504227639803,1.0526600886559818,0.9548796125243605,1.180689726791597,1.0875111338672985,1.3776173988124574,1.4098500817462922,1.1231057707793966,1.1240767222841443,0.9759211589479554,0.9743658793563511,0.7846941786885894,0.6957970143668382,0.7176982026020761,0.647828157337453,0.6870648402688728,0.9835225833735133,1.0000963714282263,1.1943979388968187,1.7958309138776374,1.3303067773664403,0.9998885643907174,0.8319128031748534,0.626452340777885,0.6924843682562669,0.6518895593990142,0.6476125989300051,0.7102670759693966,0.8248774983367205,0.7924955112143484,0.7213919603457586,0.6875982979172102,0.7556496601460596,0.6461861552107406,0.796095411060894,0.935979932013506,0.9296244890747348,1.1579966078244595,1.0923143337920926,1.40470306292771,1.877775374222323,1.6181480530699706,1.7473222268177213,1.8408318389706941,1.420264447169657,1.2498579183586997,1.0656728995756781,0.9844489406175686,0.977099167469925,0.9961597433122297,0.7745158484137893,0.8621497778098302,0.6981952302913398,0.6617616471110497,0.6243050989656913,0.553514681680078,0.5853059759907575,0.6503163819599244,0.6906451737907705,0.6554790092375958,0.6657088854086802,0.8266323432673263,0.8429118364182665,0.8159831086457129,0.9559376948478899,1.0780250009100902,1.08867595211392,0.9665400037857776,0.9400000670391776,0.8158995066982772,0.7133961794158747,0.6975907240372936,0.7020511876963855,1.0851293654693173,1.0204480533623024,0.7559062743496613,0.7594306985294774,0.7960475832310471,0.8591778407848795,1.0246897254606704,0.8893003113070177,0.7634800496311879,0.9430964134928357,1.1637035062483891,0.9548736939335807,0.9138569735878757,1.234602053478198,1.1200536950751907,1.067621905270922,1.0038763164899034,0.7828151915158326,1.0701204038742134,0.9960545058954174,0.9651178168265415,1.022989349393196,0.9689412901253935,0.971399839541607,0.8420041257292085,0.7749928231098603,0.8016445151536989,0.7502094605267201,0.7160347010445122,0.7630591566991579,0.8716331459213426,0.7950526756434705,0.7655172950204363,0.8479106202422606,1.157564862529153,0.8051593494588499,0.7144038071629715,0.6558615199298998,0.6332056933171676,0.6736913202185665,0.7162987508133214,0.6191641997365485,0.5829306534655672,0.6166663169438982,0.631222711707121,0.6438442737252644,0.6475707644455971,0.757591431665406,0.8537195234322976,0.7548628721215566,0.8226112179166285,1.008625239852615,1.0767023308939787,0.945941296446618,0.8868525199711778,1.551586490411989,1.4203616804975934,0.9863632492865035,0.9334163061633586,0.7967253223266217,0.9299069844199127,1.0492750300010154,0.8553733338275109,0.8837355808373167,0.8428626038916472,0.6981851059716874,0.6644871501580731,0.5694992666351893,0.5188399813701784,1.042582398007694,0.752153796425902,0.7048327793052598,0.9723693372536687,1.330597611374342,1.2128073205541776,1.2555732668126125,2.0635212290886664,2.5505812173566693,2.207047647043024,2.3434728347984035,3.3046271853796076,3.634658514017469,5.024454193610922],[2.3244530032828714,2.2283769353102576,1.8692064685571597,2.0074063312727626,1.8117790238542921,2.5193681580191862,2.6810195154248655,2.79120422131002,3.1856507311030953,3.3433852581242918,3.5285484116076753,3.3998990597140963,3.2824065810813794,3.575035102891804,3.560041603565924,3.2906353377258566,3.2329174799626523,3.1015741075394327,2.8929138503059266,2.470174098749779,2.2939735110255124,1.9422471498881033,1.995342820081092,1.7888336276821282,1.8632076560815989,2.1662659412533185,2.13891234357871,2.607653254540435,2.7909238414673387,2.8676344736127337,3.209442805450678,2.9943662897780485,3.1094667506174547,2.9531589754769945,2.7674340350958717,2.6974259809490477,2.545755899545167,2.1681060497892446,1.8923216211123348,1.4908929533689022,1.4699814567189688,1.7475587980344078,1.6261532032873545,1.6147113095436276,2.096050648041807,2.4147966503610183,2.86096207687792,2.0695782132467175,1.7681224548204402,2.405294357968373,1.9552234046645696,2.0370100920095746,1.6041792400947852,1.4409943938135832,1.5143664700545059,1.4933687297936766,1.486262007712912,1.7629606561086588,1.6184962442368238,1.8209835105587018,1.7834847910830816,1.934425533781667,2.2337218870371216,2.1602468566997493,1.90110293196579,2.1487510283092535,2.5652859393131564,2.7922690582377148,3.078790413126976,3.423210325481547,3.531841470591358,3.4892932720800807,3.3839237243608014,3.192702697842172,3.0354130647656676,2.8683457442423133,2.582833653797072,2.617120188776554,2.3789177936419668,2.0196642360762236,2.087399705147762,1.7961838806723704,1.9669796193850324,1.4934804211706714,1.4835354665066116,1.9339877737675342,2.038582889645454,2.3595662369461183,2.453038336515318,2.6605272641505606,2.8819813334773228,3.029399520832294,3.202435688448313,3.2723134327309964,3.394118760214114,3.609686059946274,3.691378462083267,3.3763403161851366,3.3382718496398724,3.241621741469516,2.974319155879485,2.671919643580423,2.489373100018626,2.2567935120170923,1.7781692724195006,1.8443029813961125,1.5797186791942015,1.3078745977111943,1.4247889937430362,1.8157481160532776,1.9167312767119578,1.9789686107761693,2.4514305672207684,2.3463117870682484,3.005107975894045,2.9440226977209676,3.045953954562365,2.9163190129775303,2.913252004347959,3.2377988856772966,3.5143899826463723,3.6047284828984028,3.5080551055091633,3.099905904337391,2.8536423143262835,2.1226821529400546,2.116093011891689,1.766087907960435,1.4690777755624602,1.4234855709970486,1.0692317100599475,1.052138065744411,1.1187193122923151,1.1026319823334136,1.0390607315227989,1.1770813757348544,0.945669075977997,1.0813261079788505,1.3793469019504199,1.4944847354256068,1.2601364345857178,1.567407084067105,1.8110770446000812,1.9249790101295412,1.7987043481299902,2.314656264845245,2.400587849704483,2.5748875381039835,2.421656892915308,2.755693255604249,2.549734460350022,2.9651789286293426,2.76658579994896,3.1196190487535898,3.2807260492321126,2.976040782530569,3.0073874604779953,2.6428781963730668,2.694421995414234,2.1904492279845527,1.9112853829997796,2.0765343109654255,1.6468204036091294,1.525303553246473,1.1959876407317491,1.2625185281628342,1.4684964748430485,2.282399435490309,1.7594563170105164,1.2333824111188696,1.0228669574882046,0.999653685540581,1.1656662369590427,1.3872641187639574,1.675841828701998,1.8813085913333172,2.28912864236537,2.039639423649089,1.7211436674127534,1.5748927166883782,1.2867082521267532,1.4612058506807923,1.1397678230413508,1.1783338596363757,1.1352996732639138,1.2410709804944187,1.3179270558729106,1.5869628963730185,2.2566146051329876,1.8504406904557174,2.1810606110043267,2.408843274401575,1.9814549400010002,1.7528996519486453,1.51846475273355,1.4238955672180076,1.2861883577341704,1.3441172477303087,1.1332579668563858,1.3769453715213502,1.1955933053626377,1.3940368757696984,1.446411792480496,1.163837865778608,1.2743945266962788,1.5506837365367527,1.3824578433138976,1.2789321498246797,1.5488134238465516,1.7527137452587038,1.5638374180931127,1.591232371329811,1.9494485508483994,1.931075059170213,1.6885928908085943,1.4361041757701662,1.4758176214962324,1.079928321540464,1.1090151119249334,1.1712683164971949,1.0710767594153339,1.4190479565593908,1.4092555916076,1.081263886496968,1.202859556883832,1.249251149397714,1.2746296323521722,1.3352622655818789,1.2369620629653124,1.141302910082173,1.2935999976031647,1.498026525047428,1.3118131630406038,1.2678826318684373,1.6048157565289627,1.5731686313429427,1.4593941499972796,1.3503706031810685,1.1331793265908339,1.4524865588975568,1.3478736479703126,1.3848915872732053,1.4708583500901025,1.5288571616302495,1.6186308580637436,1.4753141019654021,1.494760114188003,1.6993720251734874,1.7527722141821387,1.6485234188571578,1.8357534030132685,2.072694701206047,1.8987770096948895,1.7554951681358546,1.9772642731225132,2.304989058984032,1.770538336072599,1.616204004437219,1.4330966100474116,1.362482548349757,1.387059996730521,1.2559086984303385,1.1687662891853507,1.2118599238399121,1.1206496031797035,1.0308473090637917,1.0508990184041092,1.0121438106755,1.0779554812495458,1.0781562496530421,0.9826278720342572,1.126561300789826,1.3584739001799004,1.3682767797547222,1.1901845068182881,1.0590324338136052,1.6239215888341993,1.4682020909088147,1.0922661052778766,1.1204979354461195,1.19214414188541,1.6315551477885541,1.407999079789047,1.1627971720273749,1.0112218133654087,0.9535400323716946,1.0074127072268886,1.0987298148770586,1.1773791072718887,1.3750261809750064,2.1445315042506308,1.8776222291082378,1.7595638819092243,2.254939561040338,2.697875536062679,2.4572888465157794,2.591873477396181,3.4936069002609216,3.8039757961086185,3.3943244736185703,3.5811684169933433,4.215199881870125,4.522781087336634,5.581539830938711],[3.2517436114299474,3.014026436309011,2.4055083577858105,2.7739597119445625,2.2322483748679387,3.2841820655255165,3.441034377993919,3.559151780583738,4.266718762697889,4.49189487235611,4.86257663447214,4.610901326690825,4.36715522027206,4.952071394769072,4.987806624631617,4.547321015801364,4.441986208807083,4.508943992932536,4.473375086924722,3.9779631840352914,3.9662579833935188,3.6605915550349546,3.7232868324690354,3.579112994737184,3.61284400816782,3.8495373139993534,3.5577225273466517,3.8097307313712565,3.988620105587155,3.959186375347041,4.612306910566389,4.1550270000460126,4.362953241866348,4.313319497623727,4.028347064861769,4.002323716024353,3.6530644172169495,3.4484484562799675,3.215719213271321,3.101254609631528,3.2138199120297273,3.4321492895784154,3.3682964403919686,3.4994079734204493,3.9540726877047163,4.353113935642069,4.738270074072832,4.0431307581805775,3.827066421890309,4.538509836945079,4.084773462841456,4.098632411532935,3.5853657509719676,3.311277235400284,3.2358368603068226,3.348048617591385,3.2909465739984802,3.293031761257572,3.298664592040443,3.3777080791934204,3.412402929675496,3.5513058388118828,3.8018407950686526,3.8245695661979786,3.5883104120959843,3.7377341811195244,4.230039943457846,4.37193368026005,4.792803759947963,5.123549941672229,5.35559701289315,5.393671016334016,5.194372644570586,4.907230462120506,4.671962222763033,4.379251839568799,4.109922313540774,4.091897502048271,3.830550107216066,3.5367044061506188,3.4316720630786675,3.1942298269727645,3.0925395310414605,2.833817356931921,2.903971018112577,3.1084737570014065,3.404799054023829,3.5521895296871375,3.8365373071734705,4.039248722208766,4.3345933986054135,4.56794643934127,4.726270004401923,4.746680225923844,4.832512091700327,5.1529918056265025,5.214447742120579,4.6641553313062465,4.5011895924013725,4.284962203427386,3.948783170541711,3.4396485374321957,3.304966931744547,2.8673465262218416,2.5125332944220373,2.384738750005796,2.1959086798198637,2.0986763900252594,1.890680991820254,2.154239699623586,2.252035399406253,2.367952597228421,2.9896605837604717,2.8378493525112884,3.8097787892469848,3.6258642832437893,4.044145661894211,3.840824131490887,4.532965548367824,4.7002558545069935,5.04252124991365,4.958624030497871,4.6119115540695566,4.0013238779825935,3.6758773992828364,2.549895855592181,2.5626738710035895,2.0783643914677916,1.8930959538490624,2.1056599331366392,2.0573051796588873,2.288301376291997,2.691900617447106,2.363847672790875,2.4141448619683565,2.12778446062212,2.104785517573635,1.8261614116576532,1.8242056978751036,2.138749121757984,2.1596272165843025,3.261301692539202,3.2160933618126846,2.909285576708066,3.0454719529848564,3.2922792306453896,3.1634467927473313,3.292009738923884,3.019326286944724,3.4463297526093077,3.1386672505446076,3.7809514512365983,3.524349873215572,3.973973776687477,4.308798872752973,3.8585332367461618,3.889800246458989,3.331895050717149,3.4800275658052784,2.759877080878637,2.542696354410048,2.964587569237153,2.6569610380826165,2.848220673437538,3.0647084767234625,3.128729774604009,3.466769699096133,4.370853009287782,3.727110196748142,3.0304009420588143,2.734219338238115,2.322859355540941,2.5738181140501295,2.5483157525669604,2.67675681742472,2.728435335306275,3.125394482068444,2.99269342280964,2.8546568004428154,2.7171729363928416,2.7222480415925343,2.396997193259085,2.6684641643561537,3.0395687626592767,2.9777182342167676,3.1511025741443937,3.0443675908725676,3.709681737805955,4.415254034273416,3.97667480350935,4.3047783389707135,4.46808561986728,4.007440875454044,3.6444764024467395,3.357926628299036,3.2042339560368203,2.7309568843847094,2.514177639827657,2.139264395877645,1.957585495404515,1.8981402628323147,1.814266639425093,1.803076001100167,1.7228346796711298,1.7583517431196922,1.9194713695645305,1.9024964250123402,1.7885790527666146,1.9384506048487722,2.253325281491912,2.099993090012573,2.111027825848792,2.5268905758327214,2.600247534661884,2.337236324781543,2.044050129682821,2.072730969781049,1.7973606349536106,1.7515614629098881,1.767981581420486,1.8183001305997146,1.9809995342179652,2.1499448934627154,2.0015649893706224,2.0786380655879113,2.1616584059317394,2.129231459123714,2.4413936228027073,2.3504243204705517,2.129818814649617,2.4142030492883424,2.8327550199345315,2.581695529581426,2.5090411348527373,2.958302831785135,3.0322091342196313,2.766461636844264,2.8111504130664113,2.2529756905295963,2.395692201505074,2.380731737256632,2.106315757367252,2.0727637451324235,1.9367216960974638,1.9941032802055831,1.926199751498155,1.8841315790611333,1.958948032716941,2.040127750939875,1.9791922556261414,2.146577442515682,2.397611437569788,2.252856819534891,2.085961029467002,2.344096632566073,2.775221245913253,2.198701753394692,2.0303002329130333,1.8777016709783456,1.800957742814115,1.8371444114443864,1.879450183557727,1.756401403144521,1.7345744974142359,1.8313541007405014,1.8604997333341056,1.7945546252368925,1.8447665224846,2.172623325965396,2.132365125614359,1.9321683780790673,2.2414866338846196,2.5135453564065373,2.3893285417363415,2.1540185292005654,1.8828134910379455,2.3124662031824386,2.1862769416828747,1.8628343159323617,1.8726693179700904,1.852826671076995,2.2523280693888474,2.129203404635143,1.8862461158337571,1.8270517595931792,1.8134095175373526,1.7994589498592175,1.676200070055365,1.756157257091433,1.7876318434095806,2.376586595952286,2.2033722205648574,2.092926269307167,2.5714766997717096,3.0878836163688206,2.8277804496707013,2.971562408457605,4.003562381716598,4.3652697364970265,3.8220239141115666,4.185608190290685,4.960571949761071,5.163991343330716,6.2347512389430735],[3.3077572376261584,3.0440290296073993,2.5522945384814086,2.776418953300927,2.3266257854282553,3.332543931039601,3.5332662038398004,3.740336268040506,4.650507115830134,4.9768819476002975,5.568369609029612,5.260052243085347,4.900677891185779,5.714267129799557,5.8901297529465015,5.306654056875459,5.110154560400982,5.401499329819132,5.565688835356249,4.9642404160634825,5.166843166965689,4.837694016167454,5.036472554579333,4.925272959368155,4.839807469355756,5.037074828297933,4.526282665340902,4.474964519943728,4.6871319349483,4.564914534068102,5.563369911756697,4.852936427365579,5.191977561046005,5.222918251896315,4.82026519394502,4.818809554422599,4.303280393169652,4.22363969681382,4.045286777710921,4.062413379479222,4.257202339403896,4.481746974849624,4.475933090390275,4.644803985373809,5.032278161036977,5.3693536402538715,5.613863423859328,5.104990465819472,4.9845821823724075,5.7387548052461295,5.2019364929721075,5.216731323400564,4.66743136947231,4.351149548761952,4.205571971577612,4.3795572463754775,4.359673206532189,4.319259798272227,4.328580525502862,4.449344754020764,4.542367352583328,4.674221561826756,4.907092384828729,5.076799071978657,4.791274610113781,4.843471974238121,5.4908632495649545,5.520359905732091,6.086287749489454,6.375270339264152,6.735506183611092,6.966575961480307,6.6328847104620925,6.3698082956703646,5.902151406417945,5.738966348467892,5.260496642888907,5.198578856202379,4.8072685766094025,4.450896205434582,4.263577857520333,4.0191513567993375,3.807934522126176,3.6425342446055438,3.766439329493341,3.8534710322870707,4.240580835866469,4.318833732303182,4.748989023171495,4.974809508212544,5.394424155366567,5.796501074234244,5.929521693028004,5.8174571943742155,5.823948669995902,6.285058516478813,6.276302007162934,5.490612489740778,5.179303150150288,4.839064794506201,4.485036613962351,3.7937007540659526,3.739891668418912,3.249407442240371,3.196943083457566,2.9809626122456474,3.074491719490588,3.3224434637143627,2.841101180667914,2.6833309933320586,2.561418922132074,2.682004143565603,3.116675102263086,2.93874750458805,4.048102271814707,3.7190588777421674,4.390204873146742,4.040876145010248,5.413720310245801,5.508862326209667,5.840635043696863,5.641041792679514,4.80838978104193,4.087833795443505,3.7575452408576644,2.558080459994279,2.6752852968395158,2.476656446439121,2.7098951057953258,3.127194796785108,3.6206346919174224,3.9696687289088524,4.49691849493114,3.809245871785035,4.004245301303925,3.357208755803538,3.721844339200714,2.9997229991892653,2.43203903638306,2.8060264023263315,2.780215231613574,4.224385690639097,4.061903389959841,3.515636320249693,3.819774336427916,3.831638337557856,3.5347672966134556,3.610028484442616,3.2875063972578884,3.673309084772297,3.323564508287023,4.0529949014107425,3.783368423221388,4.291685126431754,4.727174894489547,4.256974582424937,4.291265783658939,3.620464069631093,3.8489718675601874,3.1452209277212657,3.0851534968665812,3.5250599440768124,3.4313524757251153,3.749286554550887,4.35084186729052,4.666485998266394,5.272530045409101,6.369175830414597,5.9219164366423644,5.040201233831065,4.585354527202066,3.7255241748325467,3.8156803469868588,3.551261595922189,3.440077841190833,3.362063316725746,3.6122743116558254,3.5776909561612418,3.6112759948168938,3.547507739175913,3.816750727612911,3.367342358052928,4.060740901964525,4.622556830754345,4.501023988926993,4.493826383857733,4.1745630876098865,5.027312170806764,5.718707197208668,5.47387391285815,6.02564512404612,6.132406246161568,5.924268745857685,5.635536907106482,5.394305833458699,5.315480628745603,4.749953181803683,4.441590433174577,3.961075555278484,3.382213806130401,3.4736326258675314,2.94165485876089,2.7547123149301873,3.026877398403549,2.9636519832512453,2.636404297965343,2.656878355399529,2.7975662262803676,2.636902159593336,2.570184429975522,2.560298297866668,2.5890314388450433,2.715927940996048,2.7105413645016,2.6337320818295304,2.5826532223355874,2.7406614257378283,2.994020451470588,2.9795160054316976,2.9846743383316694,3.4230131313410928,3.4224650678888273,3.747545243931122,3.6298035158751296,3.749345898464769,3.9143872963681474,3.8405834129361383,4.361965318522029,4.358356804951355,4.010698628930718,4.315335389383673,4.927815188047385,4.695616391386291,4.554014768805317,5.069070546143236,5.300378972974429,4.969855293858131,4.993332467881935,4.166590020998329,4.088927056262013,4.138487671178913,3.6901758256978217,3.4496748356961597,3.15610817220201,3.0279459430930675,3.114099285523219,2.9983536040080314,2.748139799903385,2.727657567892568,2.7619504237360997,2.6948190198394246,2.6994314108437254,2.6516828996645696,2.697910263069324,2.694968137867338,2.8720684264329424,2.6565288277903334,2.6631372013151253,2.713763262383039,2.9002288388715987,3.0114943611257097,3.3398843638404396,3.1505225019097303,2.958508405587756,3.4240006132531957,3.5670025814669595,3.3241966676509125,3.5482308166674343,4.116361541678872,4.021535520488617,3.712523702586449,4.2598455543880975,4.681572319115311,4.439048955742574,4.091187174797962,3.4909347571380223,4.018252746422047,3.5903292770325876,3.090796173726423,2.7910175956013528,2.7269697692862658,2.51508326600341,2.555363947950744,2.6688563414512174,3.1319599615122846,3.338845786641226,3.3648936296617977,2.770638685941163,3.08264778887562,2.610350643706818,2.587388601850407,2.4844538137768977,2.5140929499340414,2.736996900203684,3.0781070097742824,2.89607141727721,3.090054984546756,4.045981433002757,4.294346753605772,3.855052859644159,4.234293642942448,5.143520233234968,5.511410116953135,6.669739713547542]]},{"name":"Protease-ligand interaction","means":[[12.115487067375241,15.402800727096832,20.42072675395331,20.275756408043662,25.853591481409566,22.24409044638975,25.810574824433044,27.496128253412724,26.517736394931802,30.205853885906112,31.505589044077023,32.41265141227827,35.228946884600674,33.925624465255474,37.83727026442164,39.65148449124152,39.85696833262221,44.31402696249903,47.62650303816002,49.76500924863641,53.20323976401814,56.9000031997781,58.069288038342044,57.543368120158135,54.58991892891192,50.628017487495285,48.45774009647745,44.485241925075826,44.42171832885225,42.85324266502342,45.02779053179984,43.67498438845941,46.06405411492384,50.56601672843222,49.231150326190544,48.571868910664186,47.16687268341475,49.34845997445071,49.45966286859962,54.84354832142746,52.4497353084652,53.69956298692917,57.92385419164521,57.906637540021805,59.479195882766945,58.15209582523185,62.223000181948755,61.79602443418281,57.07767898014884,61.23569503825294,63.56720183663332,61.05765557745805,64.50630601953111,59.073257999599306,63.56394796158252,66.59696969062492,63.04081214296663,61.26770619315944,65.97863208612813,67.13487790424026,62.502381916420575,63.149053716935526,60.50054213964884,62.84338597060438,61.19104600442793,57.08572462362887,54.237222017484996,50.848187620364,48.41986867705093,45.205887067247986,44.824443377394225,46.48540770664145,48.059460399329026,52.34561279093894,50.79413279052745,56.412862820788504,56.286903330856475,58.0403922739218,57.5024767445036,59.25220757903305,56.74435194816981,56.82916941206572,53.25345745619399,54.37379236129631,52.40693543792435,50.769076533776264,53.13845368533053,52.4952673823432,52.89007146744784,54.42675524515222,52.32185504889607,54.384051194875546,50.50730154183004,47.730567720752546,43.32027277895206,42.47167730134108,38.60779406424167,40.70579658768048,37.67849593601992,36.90759103282411,41.26563553078332,39.48523206023594,43.366692440466146,40.858161336734334,44.9204532698466,40.10031977340054,41.368450562890416,41.19405727324582,36.74312256621104,36.00482478465831,32.162127532984876,34.5963002932116,31.450100423189554,34.00537828393019,34.801279622220214,36.25482485438044,39.68027190595719,40.949897234749635,45.104733701275045,42.29473050244599,39.59646292575293,36.3632525557383,35.07053449846448,32.68234960827734,29.646782296014035,32.20639860220643,28.862466535640817,33.20082577356964,35.043201224476356,39.70716261205069,38.97945186483876,42.57185053679151,44.86734448577911,45.304450106938155,42.78318558985756,39.55356102868474,37.73538821131943,37.15053226490689,36.68457884879842,39.629768544870096,41.92538510451589,46.64668475634163,45.8433326750805,43.281852745695424,46.00385438141996,43.528277553649005,40.66612443420816,38.52452591319754,37.111614113828104,33.224515470725684,32.67097774878874,30.343846845184057,32.972446816692624,29.847651380303926,32.35949689332128,35.162339572550536,35.31474180138685,36.2005585521807,38.69475582055981,38.80469203438956,40.701732710046244,44.02622931625471,43.827632202856705,47.835149216669784,48.58060824674718,46.5518176682558,47.79573330020311,49.41351589964547,46.12160682480601,43.30657738608716,43.279558139486895,41.99322266610669,45.23571454548906,45.79382684171078,46.26610904952433,45.88962326395432,44.57828823949088,48.77168816006573,49.90520386716281,50.071893248242226,49.66494017417388,44.90056574572539,49.452415824239225,52.158984444785794,50.19106371951766,54.01213741726396,53.70117947834292,58.059825970713405,56.53809358145356,56.83707516999936,56.77624625538275,53.725468178073264,52.00999857536018,49.056471674235745,48.24262469367408,47.13123701140383,42.449596817081975,41.80009165181497,37.82207938949158,36.64397663726119,36.91821977301434,35.40670529888702,32.72146149205293,31.7522833446317,32.77146032653521,29.24399167009701,26.030835043978183,28.007541062733956,28.999391574977047,23.474326705660836,22.63480232615209,24.029652239139345,21.946634281740483,18.247559436204938,19.749376248775402,21.145581716779564,24.498051675428602,26.50011688823693,28.083738057634683,29.910650629233352,35.22139387969625,36.854422750242136,39.90282325506109,41.20617414250924,41.98494270723359,45.26601796312177,44.46586506990632,48.36778106484331,46.13859931701477,41.26869880828133,44.939742903096196,47.67871669618459,43.36758280678992,42.626018933546675,46.84262443556145,45.70122120398814,41.46640455700504,42.94804494380215,38.55633799975653,42.112266775219005,44.049394755883235,41.654598360357895,43.96895143811675,44.85582221944408,43.49532919492863,40.245537137424314,39.700812520916884,40.31947593190189,36.58237587917367,34.41203923671104,34.96372339524514,32.929505887537736,30.031192082760793,32.69126362780077,31.99923030687771,27.40341756371019,28.04068694044944,31.369176457010063,31.300599353993615,35.3050884552858,36.34980022915061,39.564128467151534,36.18983616470106,32.33750512198764,37.1279408638068,37.07575493410682,33.56605103192125,34.67257082370809,39.62206182185543,36.790937518955424,33.01076653020489,37.27072094371146,40.22907800934928,37.182335905194925,33.96985366037695,29.50355091389624,31.947004053061463,27.787123848138272,26.387552393363208,22.860620482975946,23.93259401733453,20.30830482381312,20.211968290800517,23.548232373756875,26.481166634324282,28.82116299019897,30.275892089451403,29.42275779771251,33.12398122285113,31.00331291738039,27.443949554823117,30.539198127985124,31.46526323745502,32.647531332188805,27.55127567210722,26.634041642636706,29.769573558461452,28.770711655080767,23.560740316649863,26.584803346648926,28.14394691218293,27.879973397146347,28.529755933529263,28.2537116276313,42.0241707692882,38.84370469867229,36.034441549651405,32.27517600661213,27.223214832891017,30.80502401636497,27.53485116552563,28.673039068320424,30.05319099585643,26.87953029024782,29.11626658562897,30.547591993268846,24.887200150337623,26.328100980746957,27.48477198751763,25.353389295475576,21.47225132374933,21.576593385553583,20.183304664657975,17.800860435308877,18.722581491134914,17.464091189731512,18.89095930504811,17.14890819626652,14.042014964662414,15.39878775720541,13.181095968035692,15.412706384246965,18.4872476504501,21.106369254336006,26.440042845660518,26.064912812736186,30.09020083717027,29.65961420870832,25.41100004083493,21.923263378602904,21.143419623825373,15.898624039942318,12.29034444586542,12.418823524192463,8.445418753866248,13.155113995772556,14.338648103472025,11.340316290913291,13.193902125684465,11.613826189807757,14.392022072558827,13.032285355049469,7.945811640002567,10.407260574261974,12.97172071049905,12.322080564156607,15.993418415837201,12.577213167817318,18.63698901360751,19.98264812703719,16.959522160892437,19.36404674013969,23.169657754065035,21.47829395628554,20.39596589058206,24.875735906321506,26.04265982903097,26.996862751654614,22.568206534812585,21.050819477552597,22.91884639174008,23.412065998494736,24.460987500503553,26.728832031720472,27.020293043414675,30.479720316289285,29.991753688571418,28.489976689535748,27.69285260131582,30.96893382543014,26.141365342152874,29.612409105548412,25.867109216473445,23.212144690124624,22.620784787210894,18.827751016541182,20.381945496449184,17.361080338186127,13.37254017604648,16.316184905153413,17.271075218598728,22.040046265296798,21.829177442659642,27.910475891264436,27.878502622385742,32.28332775890503,31.954049574898818,32.26954370376359,30.12222291934233,33.655920996598425,31.924118792599373,31.101678266812048,30.66545226351026,34.05956001940073,28.831548918894995,29.064766215382672,24.640199132096182,24.852262826049095,21.76676901298376,22.073667347223978,25.064325762108748,23.348272052319338,24.416351029232143,25.03357848564436,25.000312835568387,20.876584101663425,23.03895916355241,19.25141372883748,20.36063448774678,18.06918025975506,17.32735447737294,16.102462557282994,18.219100970188297,20.20551492882648,21.49914671393643,22.34768101702579,20.877848997998168,21.551810173139657,23.600220884603186,19.94353799723322,24.129870802424616,20.206023190580066,20.732267553177785,18.991655566996815,19.84121627292649,21.41305868246553,17.390237768615847,17.58088849390668,14.449628036583242,14.206363831548474,16.689526035292964,15.52002142853776,15.866536203182042,12.626343236460194,13.193063586647517,10.000387260152289,10.891825321026902,11.251460935509746,9.8025273225504,14.099883779743351,14.618298124796505,18.10060182628357,19.55922629898261,23.646276202107067,26.192061846097697,30.216713936562225,32.87069463125272,37.763758130875075,35.68881109353265,31.966166480988967,28.204370258548916,26.575952656024675,23.436604384991856,20.847701736242424,15.281316085822773,14.283006949841873,9.967065179378425,8.697214546136843,5.432320690477283,5.827747671533164,7.181890422804827,8.192313405478664,11.415219881534227,10.619868304878167,10.650348692080549,10.080666921088168,9.304888017094113,11.651757056764856,13.988970411177093,18.152977331978136,19.355732245346,21.68537831909671,16.73386161910614,17.859782641433714,12.544222112897938,16.458202843899272,15.416009401660668,14.678228835737741,11.25910419364084,9.812852737195923,8.291508060911708,10.29154998359847,6.745073246677013,9.15553474366983,10.568661428491254,9.326903289608852,12.858706895738656,14.612112618750627,17.494487935453947,20.938628975717474,20.481867761064883,23.595101591649897,26.499531447397455,26.365578215545398,31.166772198298563,31.65738900463147,29.20772047058303,31.948434457421854,35.451909747171726,34.58695280856961,33.547381686355955,37.28028969605508,39.884785679898116,38.05452328048228,39.7755242179996,43.0497685838693,42.42021274460099,41.764779080620386,44.79281546374941,42.3688657937534,46.82666138221728,43.501444718721075,41.98195897659312,45.37635258273031,46.489054568825225,52.035013567107285,50.04174155592615,47.5851535003473,44.16972300040068,44.02295888836841,39.9936441008783,41.17082549449111,42.55953343434399,37.45015496828607,36.06970070315288,38.333497685314406,36.922561410992174,33.13378936645329,32.45694797279761,34.68880307933384,33.15870407715168,27.456041723911614,29.982020244629112,27.802714024772648,31.464337958249406,34.933827768590085,35.506680430183465,40.01579566930009,36.426384908914294,34.11179485024459,39.67246015352622,39.93388215902323,35.81213518492886,37.72639113815984,41.75076398671407,41.36266661796734,40.09759857321638,44.071717389956625,46.179445079560914,44.66947401866191,45.47441750029207,48.08595154990453,45.70786153262491,45.3333702210394,41.58377947774963,43.409419002497245,45.64211389494128,40.72170436060045,39.66124853807029,42.692257105380314,41.786003198572786,37.01447133009203,40.639549906158145,42.698178216604816,38.32591254767442,35.78365314322157,40.24943853011088,41.63446217833181,38.74808091567438,37.2951007406583,40.72238665500349,39.89156351223577,42.77787181738321,39.18243949079644,37.44878615988831,36.56604231372497,36.52337223794941,34.03586329619683,34.231860270719416,31.156049391671594,31.726259791995673,28.146017573838446,25.97219449505238,24.536778244331142,29.938124244554725,29.94767830800976,33.60120826804385,32.9240409540879,31.055013284857825,35.47891553538095,37.644139869581444,34.13227841448178,35.84855997620813,40.44057251907017,42.01499822688625,43.52179488045411,44.12832713424884,44.85230642224512]],"stdvs":[[0.7264481026747074,0.7672219796622716,0.9191679835008714,0.727946953424242,0.8963705688215001,0.9229060159213066,0.9518785294306348,1.179264906777487,1.1683643347494423,1.080874072578465,1.184635481978523,1.3100636200578455,1.1428747420583214,1.0849415829015776,1.191895590294178,1.1607625528314047,1.0239473916715667,1.0309015278765128,0.952275687704762,0.9513472826943155,0.9369365696003228,0.9052476332151618,0.932249980891341,0.9314990021141413,0.8810687259371505,0.8693026327561428,0.8936066926771241,0.9331102645098208,1.006442962976703,1.1030084233983695,1.191300467086159,1.257396795733541,1.3551259191895244,1.2977400407524005,1.251354860781959,1.1242270082302697,1.1673110339345565,1.0702670504411713,1.0003004652720138,0.980575391077795,0.8773242063109952,0.8893609067325109,0.8766018519073762,0.9626922952689431,1.2804058479020495,1.7037570272991047,1.7555923118775638,1.0459134806930805,1.0944735618188621,1.0889731020105498,0.9656916508504618,1.0107963043216808,1.103153952478625,0.9475384350493617,1.2369993229494813,0.985793425974662,0.9701547359241988,1.1316027759913556,1.327089417463312,1.2464124597966262,1.0678979086820886,1.1133254680408355,1.1317129763226739,1.2056963603145052,1.0772026589208394,1.068873403459443,1.1253742229672958,1.0997827025980915,1.1080152543530761,1.1302375370187316,1.2078479074017583,1.4786996148894165,1.2248232988543413,1.182239448130704,1.180577136469035,1.5430659736081538,1.1345142348857478,1.2022586039149712,1.1907237370153134,1.1284034609309075,1.143745920766495,1.1500540307602596,1.4082852559065653,1.1390836963838435,0.9761463451640601,0.9954879297568403,1.0336601888061658,1.2946484906543565,1.1353696071552724,1.2764152470666623,1.2183104614665718,1.3354054879406192,1.3037259508831003,1.3291140318406653,1.2798820142156182,1.367131427612799,1.344922906571288,1.3653428684886995,1.360117165345855,1.5289762506770426,1.3643771408742122,1.4822576534247305,1.2601893430573181,1.279615120672895,1.2026015948870936,1.1533616858240465,1.3181424550846046,1.0423980367865524,1.0319549570749544,1.074165979291415,1.0250033129048937,0.9345961748996626,0.9888500589474474,0.87764775653582,0.9249833173156842,0.8142958658480486,0.9348547396340932,0.7940618784226732,0.9286291146606341,1.0106517887006106,0.9223583526825841,0.924729544214619,0.7949723406974356,0.7965450064922102,0.8230064457879761,0.7397586311747232,0.8386905620676204,0.9025506729738025,0.9246949149318362,0.9991238982672558,0.919573957189047,1.0492700546899212,0.8866900551986588,0.9714639343164436,0.8692867096526355,0.9723232178289674,0.7933850617549476,0.6881732488031581,0.659875574901228,0.6969883733294798,0.8070806866304272,0.8377798246028972,0.8096251966982805,0.7963310388828577,0.8480107185549784,0.9660565202104194,0.9075672536157467,1.0419083186354634,1.0330503495289467,1.1337871340671384,1.256552672022038,1.3344459864255722,1.5758594902735779,2.0117298961855212,1.5918905226218538,1.4750491373988317,1.3107405095307239,1.339167269321238,1.1956900289270853,1.1499264228689063,0.9536484788486888,1.0395246942745793,0.8274811636963186,0.8505693245587238,0.868329633433997,0.8184732574295267,0.7477224294796375,0.9497287652182179,0.9687377273072528,0.9235940833230131,0.7069363861536923,0.721197026203952,0.8441131564693621,0.9238978122191899,0.9742739102847259,1.136903740435975,1.1567961266836773,1.3256039062382103,1.0671703977780735,1.1581130716987895,0.9068023720879003,1.0046973263542123,0.9839645440788638,0.9665273088882219,0.8616758791797932,0.8482927441800471,0.8893913193113113,0.8854187542595445,1.2729371928675204,1.0706624255226316,1.0385576702791395,0.9848243279930299,0.9674370649532195,0.9559292723792746,0.834769006740924,0.8037449024223602,0.7167291917491018,0.8447364038228921,0.8335446088478924,1.0384869314845102,1.0229600231551133,1.1429482543969136,1.0450013950920456,0.9731216621543368,1.2078253598839865,1.248162619267203,1.0866733556941255,1.2244145746369806,1.486965290078882,1.3406528662355095,1.3271412592819218,1.6017548203014145,1.6878761978029027,1.4442532223000546,1.688688614087687,1.4849181190313314,1.8342756894640233,1.5449062276284482,1.4814491100827119,1.647398920269109,1.6618819368835744,2.0391861837824274,1.9575298989249477,2.148898909601417,1.4952188574530585,1.5088363642609026,1.4614533103406082,1.3746512477179293,1.4490322766842367,1.2449641343230395,1.1990082213714222,1.2455296167587535,1.2746262880964423,1.0814080685896608,1.0298671324015447,1.2264270781001871,1.03929270418081,0.94323180091323,0.9028831983868064,0.9920770178012746,1.0470796696793894,1.2444383462447288,1.322483432134071,1.5160075249588687,1.4644593843435467,1.3186950988712272,1.5031972058897973,1.6613821641651503,1.4859952890194974,1.4773238113388716,1.7454140755288599,1.8280469705429647,1.6820936685286767,1.775306470408461,1.9703823298171201,2.0073847159736955,1.8338263924611509,1.9153462154018739,1.7467927216071135,1.6808568684237672,1.5290607089152188,1.5169227248957968,1.6306242562297952,1.4058764278633789,1.3498558543095365,1.4329712606314668,1.4199228411792892,1.1822501181031155,1.319584819157532,1.600272042592611,1.268635869527928,1.1361659938147721,1.3631971654934412,1.5370608802363188,1.3609734616958102,1.3082072347908462,1.6059339724801331,1.5817803768898921,1.7806543238628103,1.2291673201350704,1.1370320027280445,1.2220250751103505,0.9992120462804883,0.9926253182554121,1.1390553365478837,0.9822283267558337,0.9732941388561944,1.166360377895253,0.9159710162767262,0.8518027683872041,1.0794831590916798,1.3505512902163952,1.4667000932265395,2.226062269600061,1.7419546949554032,1.7551864002069248,2.472271169230172,2.602875134609378,2.2822573377260467,3.1144734945739323,3.51192119621832,4.495945775937275,4.782560831310615,5.408247887493606,0.6012622932329837,0.580372269085866,1.0264512856459587,0.6489449309588563,0.6441600198939827,0.6302248467707495,0.7061441680018454,0.8106757320402228,0.8930714718867278,1.017149059507606,1.1209541146592674,1.0557499450552155,1.0826023665417945,1.2004240432555608,1.2906071081642592,1.1991398704028542,1.2599822808098227,1.3543588383949263,1.4737971592622792,1.436340652099164,1.4968580693419795,1.3481066794056111,1.5352295058417265,1.6604187994970803,1.5419324238924652,1.565688363861867,1.4155809237096721,1.3337519067278123,1.2646269096279361,1.1301623737920856,1.2267489533239389,1.0715006094319468,1.1273649712409004,1.0729249292610619,1.0391549924044878,1.1121655887953095,0.9136169428734844,1.1054490921536413,1.0669502029213942,0.7991916297257599,1.1285698164813203,1.3028328963609233,0.9753587099430803,1.1636851973371483,1.525061494432548,2.142653411950479,1.8931707442146242,1.2038789822318083,1.5419062578508393,1.1764184901920922,1.091884493314496,1.069675868957468,1.0366085206904334,0.8416879501148073,0.9532695534201193,0.7883040471590738,0.8520655516199551,0.7120978848034688,0.7026412359092324,1.2042858250135384,1.0442574251785441,1.042890964931035,1.081775938138994,1.3004544035943033,1.2569914941567906,1.177840844159388,1.4990560519297016,1.4218965332114823,1.4270520344303135,1.4960108024415075,1.5778705401201494,1.6995094685261696,1.4872356323149458,1.504547729529326,1.4336677675010128,1.2272736508846567,1.0712485274663226,0.9783235143121507,0.9156280377149575,0.8851126421762535,0.8720071116051071,0.8002451512784626,0.7389975286975433,1.1068010912273967,0.8158742422707282,0.7220174649711518,0.9190521848102354,0.9927316382740813,1.0193795085167103,1.030553128127628,1.155050078766851,1.2315195744052823,1.2583658285680548,1.1843490453575727,1.2117715378922604,1.2369206744700976,1.3187253995171804,1.155804820867985,1.0615841363370682,0.9677546452825485,0.9814703865156438,0.857753620821246,0.9640810634978049,0.6970265645357524,0.8913310968972494,0.5421871821027472,0.817058486914255,0.7312516854493728,0.6384606193727504,0.6051927356606307,0.5540273491424114,0.5792851105297604,0.7402323457889936,0.8581334213627572,1.089263847009443,1.123145666611793,1.26167636223154,1.3976898016390629,1.4020963771155521,1.3559279151167396,1.3406605615954688,1.2927477424095684,1.1960741505871066,1.098343398755434,0.9697033252859847,0.7692034552267624,0.5703101718802468,0.5558842352980993,0.6493953800966628,0.581329501355605,0.6256031502206051,0.7572827282741158,0.8510339357506809,0.6932825878876804,0.6426138589637086,0.4820745244958464,0.8145719436343192,0.8794266760322079,0.9449333918898238,0.9066921790310103,1.2875409565278293,1.5527998234865776,1.3610858454870085,1.2629574573412519,1.216904449463795,1.1464688783837216,1.0944586639520022,1.0000075184577994,0.7629109990512962,0.8014332059607447,0.6732149065178993,0.8022974423897944,0.9501045322277974,0.8635246675772927,0.9495622352682916,0.9087398599030285,0.8805380500600718,0.7171433081880333,0.8869613064929942,0.6874530700791558,0.6011379320264832,0.9146257704309029,0.893705612626908,0.7924355707773959,0.46471426802071164,0.40657270604675355,1.0376866691001558,1.3695869642935476,1.2480384609681765,0.8993659896820071,0.8099786809817717,0.44613193849234317,0.415670784875204,0.44287562426354454,0.6537723145153045,0.6395275041141024,0.7982863768676894,0.7981955772619646,0.8638527072599141,0.7785539541407877,0.6735837437664699,0.44804883850244653,0.5947303327305451,0.7399758472594518,0.6719126146121749,0.5167226154835338,0.6032681572421263,1.1947105179528124,0.9829330397025299,1.03279268623577,1.5239392919483639,1.2704833986941602,1.3776855300366955,1.3468176677277093,1.1254570620234043,1.044236593567385,0.9403199725031511,0.9006236811970127,0.8140980395725725,0.6884441951746373,0.7639889380966154,0.6428427121771302,0.5775644001370188,0.5966498871855234,0.6125242252257652,0.5711211004844137,0.5411003591049621,0.5877352020882426,0.5683470437258469,0.5714594123561239,0.5701165873108214,0.5503308195220252,0.6237711032399141,0.7041685161105575,0.6042266483274784,0.6472782300894139,0.7068603968400362,0.7235502986622654,0.6185669128161267,0.6414891888323192,0.7850792491637011,0.9797776858944754,0.9703630936931205,0.9051603518333581,0.9721808890911562,0.9804981401200529,0.9514060749608039,1.1308514892667236,1.0145362461277314,0.982660323514623,0.9952265701975479,1.3069282647425986,1.0707001119685515,1.0220353144325893,1.3989430699795709,1.2389740766073714,1.0690481117280088,1.107379989199876,0.867410870617767,0.854745519829006,0.9228692138233408,0.9256823661542303,0.961284710711414,1.0569343683266355,1.092776557332652,0.9563476820459118,0.9680972493457886,0.9673806586480294,0.8230259672584879,0.6649456333678468,0.7051730672176404,0.7842650112645828,0.6787335711958308,0.6826113637780594,0.7038034962848514,0.9072559731691482,0.6817612985261994,0.6287093055018501,0.6261854611463572,0.6825524154624028,0.7148427983005826,0.8036283200460073,0.7178589930426907,0.6453955702453523,0.756385633750615,0.8131423643062264,0.7688509379344037,0.8110558996474889,0.9870096136129374,0.9509981926945869,0.8374442542185795,0.9841954290883491,1.1456199023488374,1.1516148822323913,1.0770097807784234,0.963854196401071,1.44009790562124,1.4981446913942538,0.8854180897664364,0.8237548799946743,0.6616985987817962,0.6584611236087236,0.9356040878007645,0.8102974365705644,0.8727958054235617,0.8947307517479465,0.7284788396777576,0.5727168850808654,0.5961256054716768,0.5130235258937278,0.6491313011269234,0.5878416168472329,0.6057686742530514,0.8924694941847586,0.7475687454990448,0.6241495254040024,0.7826890522685782,1.4761649629226015,0.6738998363693379,0.8886452574951687,1.2840539019961599,2.600770120292344,4.049654628284561,4.456248856132447]]}]}