{"data":[{"name":"Protein-protein interaction","means":[[33.02630408134541,29.634826387070753,26.048818900640853,22.665478278136508,18.39973156434941,23.039544499092543,20.73973318553676,23.532036346601807,24.718583672963405,22.229483934352103,25.40280106323392,27.882252270486674,22.835474924479207,22.93282485162834,26.340279017104667,25.429641492283398,21.100254385021262,23.29879836141333,22.45501020257127,22.894217901388064,24.75556301930609,26.218113956590216,26.64087735087539,24.408944046760904,21.658030452928145,19.95552997852763,18.119857506267703,17.325790088569647,20.928295472311266,23.136665210758693,28.756845985757064,28.4357037387508,32.971743566596146,34.23622096604204,30.20662554947537,26.73018254927948,25.622991806422107,21.8735007615798,19.01334366824532,22.19771377059362,18.496953021388023,21.92450894029037,25.112908050266512,22.715097529555006,24.162185456011702,22.624233869503033,26.22910802277225,25.697805782775532,21.245579777725034,24.297689314421195,27.023514742785327,26.83272931429603,29.282959894476118,25.164691961710375,31.330041170663243,32.74139317894356,29.28366145414925,30.741157706692384,35.150138668086086,33.59535135010532,31.060224638746924,34.692422935858424,34.590264125511105,35.626042893150846,31.803317784990632,29.258356746285514,28.595867561642663,27.842897707936892,26.657925450819175,27.69794668414498,27.1292544906479,30.647644267855775,31.528050567568847,31.7584908403161,31.558460338837104,36.69924527540657,32.99831789694382,36.76196085726089,33.81941759312764,32.44779687546273,30.91102602344769,27.907793496468134,27.74625890226337,25.550198889874572,21.54324354106051,23.287466687926997,25.25852923665946,28.809704711012504,28.653385663063492,34.25535594003407,33.11032395102421,37.32894858781785,35.717073541706256,35.13138486568535,31.50259067570872,34.24268430365308,31.040074227002798,31.806560921654285,30.422417328392644,33.54434625220196,30.269192386368463,29.54214926681686,27.14522587720965,25.713280862154132,23.93511592749927,21.67940072318122,24.33500604788065,21.926537119204816,21.251137408289697,22.69176309217321,20.551519431584328,17.39940000749116,18.254986467741716,14.285234609304553,16.35656978495841,13.402869126400324,15.305585269135562,12.961383475448654,18.360221486404434,19.979710401359696,19.130738504973767,18.699435788308463,15.115798195611479,14.951146969310653,16.44604481595255,12.42798910864944,17.286930983392818,14.511466634227158,16.120736607109542,17.126377359600863,15.934620986557988,19.3200539718329,16.202972250018103,18.578582004671986,12.87590723881457,11.102663451477829,10.237351554261613,7.048180722120594,6.29891617852348,6.892632813240741,6.908440617597485,9.980848833480344,12.217015146420078,10.748045181991802,13.352019737145401,16.010444980756596,14.101678421388772,17.18705753663892,18.124145781342463,20.63429628753736,23.351440032622314,26.96384931222896,30.64793040834177,34.615747140883656,33.6072370972991,30.754920144853898,27.068239927868863,25.668987254164794,23.690101379455584,20.82394831900513,15.555673675047466,17.45301141205201,11.532920392978811,15.029970493302416,11.421272905705036,5.948144500829592,9.338028063410347,9.360473611245972,8.612819688037975,4.790559281753863,7.4983765158099365,7.12733804745616,11.824129158660217,15.40908122227585,18.63077333686447,22.166367540100396,22.928559072982207,26.89979267509734,23.12897830270963,23.780985589499895,18.78390250563427,18.933103764483253,19.496710034547704,19.699846889625455,16.365700411771126,18.526289177215332,18.214508714145936,20.044322284551978,16.92208572471611,18.340520980224987,16.94508606651046,15.54234614747994,15.117540188170773,14.65930826280843,16.91175612841901,19.158132841993535,16.967355018542527,20.785618457946747,21.67738222686384,22.293328280094414,26.786839577288756,27.390387954188363,23.871619561839886,25.50146845442141,29.706846252502213,28.09180144476786,25.21588854084039,29.68532373003616,33.146581760711285,29.723004745880843,30.906195463114596,34.65896639483397,33.90351922506798,32.01500505449117,35.340994708746884,33.136347129036,37.843632193023076,34.330417295566996,33.71370595639162,37.56775646294091,39.52987322431024,44.33192773631819,43.394901426567415,43.14919008973117,39.928082909717176,40.71536103986845,37.20722947722019,39.26112424099656,39.34091590350497,33.40943053555433,33.764818881989925,36.00477861897325,32.93673797900315,29.611374343959696,30.32540420327561,31.311573298198525,28.558190521544443,23.957009079017325,25.236426975648666,25.94958014578747,29.649686500455672,32.047640377160384,33.644052657084046,38.14597380702094,34.99915630239912,31.35154990868253,36.12532446629697,37.16546440232944,32.52765177133053,33.098752562587094,37.16244969812196,36.46509484814374,34.083414512984056,38.37083235826886,40.3729718866463,37.92378743674719,38.41726787040268,41.57273680264212,39.11819184191724,39.80612478074071,36.76573859393453,39.03103814438942,39.8455167635501,34.38781782177998,34.667949574740895,36.913085833084565,35.0274209869175,30.784141919517662,35.22612202889459,35.93750420922077,30.8684833850255,29.67994279604815,34.633316098714005,34.415050478414166,30.80155355873222,28.139105437887327,31.15659596209215,29.30015386021392,32.70001251289155,28.76992067914026,27.98793725308328,26.686571800434727,25.577303024342864,23.67733996456356,24.02251714298107,21.4615420300218,23.516914049030735,19.828939682661723,19.639588620793756,17.36606834588332,22.226639339361963,24.810359278070877,28.56735445047353,28.855991442560388,24.96809245377057,28.448162782429044,31.583955875837628,27.45838960815984,27.829437002024182,32.3347915297853,34.0831371290294,34.33708070373542,35.174084934035406,36.17807917631318],[29.607095515685895,26.21311475797542,22.72748220640735,19.24062582428167,15.220213714323936,20.123145196278088,18.219666776351943,21.429465887322134,22.667885636027975,20.659642529927282,24.08107748676417,26.61840573197386,22.02631651595635,21.967426565181057,25.87258347332064,25.226080577054926,21.13313858795198,23.94791039127651,23.678084036064824,24.471011186351223,26.696703742251255,28.575594192356952,29.0912309599159,27.052391547055414,24.20459382873665,22.016675394874465,19.969684982015462,18.455263861679963,21.734669338731152,23.498332200236263,29.135972997632738,28.577049905082703,33.14630003022651,34.886100108839166,30.971918619893305,27.726091317762986,26.424302608483604,23.389484608235716,20.832480586063618,24.500118878145486,21.193545292807595,24.241437134037305,27.669838805118026,25.605484781324925,27.236076082542745,25.9154546308547,29.56449210706289,28.852297293413958,24.49420590516541,27.647892082102267,30.150876229926652,29.800348771000955,32.1266273811223,27.835801429019092,33.80349673526556,35.514308585217634,32.04386696831972,33.092448673232674,37.65327749892455,36.41134746528484,33.615197339729896,36.95705969234828,36.518361042855894,37.746018785773856,34.11381322052578,31.284598748389136,30.2901624767426,29.093914183402475,27.671593103740697,28.16604574868294,27.586234232962266,31.082373990383267,32.11558310001846,32.87044456507672,32.53184993381121,37.989096890397064,34.53275820942596,38.17012675519323,35.40216116300971,34.37342594370667,32.58061928277045,29.857706293270795,29.148951364363096,27.270280063843153,23.426417074055777,24.79502686041699,27.020746664426806,30.09539892554168,30.10183597244005,35.38841906366166,34.10837879987791,38.286988713610135,36.32082843319513,35.42159121628209,31.489820585475144,33.994482216713266,30.49485078604257,31.42348647897913,29.712556360788472,32.56283044589531,29.92467908187073,28.86150496983182,27.131967889668744,25.258339791609618,24.03469604768059,21.09352496618044,23.700900792431604,21.170223774074138,19.78202620561799,21.354650478009795,18.665249206828758,16.048530011553694,16.500741232658072,12.914960454747368,15.435633959526797,12.735792347357336,15.519441098799403,13.592093036702972,19.4575233408865,20.493049502612802,19.16848252226539,18.145571386865395,14.188765792419597,13.438834885028282,14.347875563691614,10.270423913158435,14.779450545072496,12.55544747355368,14.410033089190975,16.415924565060543,14.826130141740277,18.784090043637534,16.378294603197457,18.836010964051496,12.998606378585928,10.55290991933925,8.418717494788549,5.373215623871013,4.645865011206763,7.279214798067858,8.409639151236725,12.581764802520379,14.13412278372517,12.168228380192668,15.192657300082347,16.996174402325074,14.52577488584371,16.985741657436463,17.491650051770502,19.340660629587862,21.872126180953483,25.284487498836928,29.1271242133939,32.76521607272854,32.12801240375121,29.588136048979003,26.063725368774094,24.700040683669076,23.237102281687495,20.297393558181067,15.633345582896506,18.281661189276832,12.784997586445524,16.843129664395793,13.75532549946315,8.836760994433378,11.553473206434642,11.88083104956986,9.874774555733822,6.137076841127651,8.294410386000951,7.9683832199051166,13.152029446091447,16.539213887977297,19.640190490002265,22.769856459006466,23.40322143719551,27.645734590131188,24.372465219619027,24.878172773870173,20.29098392676799,19.393715262394238,20.597192354029293,21.241980562311763,18.08771442050581,20.927553840899435,20.765875564471415,22.962569825550574,20.242333050891883,21.420470145490963,19.858760250141394,18.07067440938926,17.066498575864596,15.89210771665014,17.601233121998096,19.25614507386379,16.251895040175,19.79085417752207,19.98025907974385,20.55092397467176,24.846516894268543,25.344236233467107,21.614246165099804,23.005799686121346,27.246706498288795,25.400230823416624,22.19511085270613,26.795869992099252,30.327301737100342,26.58429082608568,27.677842856936827,31.489692987846684,30.69374708669612,28.61923828891468,31.962573195344465,29.814008683503104,34.620953525219086,31.252872797163608,30.738133999902967,34.6324189206839,36.87580540920833,41.61047196898126,40.96173096376584,40.86825223312039,37.8308625780213,38.8846334025051,35.5188376616545,37.843603188042465,37.66528727917526,31.593563453456216,32.372205774630835,34.73017227263809,31.369635922832813,28.182084130095035,29.388641909593666,30.112665783427193,26.99358147461302,22.912175213160936,23.518989653112396,24.751667506318498,28.434391223482056,30.405813847509894,32.228295724854235,36.56477465184288,33.54609869596227,29.677729187463452,34.1314348531617,35.263048487764806,30.523024485249515,30.769269701005072,34.75670368781418,33.9698845537352,31.37081068441802,35.70705658502415,37.64134715899509,34.998370579956365,35.4473191826474,38.700092670691376,36.28628293856703,37.22695486676119,34.39400688892678,36.80285299898862,37.294161031220945,31.735245301647883,32.404033837998185,34.520110360843525,32.41429843977511,28.39766824617568,33.12304977194315,33.53295105438361,28.3155003417493,27.574295703669996,32.60426825776121,32.103082735764986,28.349938561870577,25.349964432360856,28.53989953425752,26.393589032703485,29.657635257978864,25.513068433086595,24.79578437199856,23.30947538743365,22.13768241588086,20.394287893566045,20.98516888453382,18.597017452482998,20.810013946595713,16.9769105416973,17.36534691337185,14.789436301588157,19.39956064254739,22.51748803471346,26.19379194824074,26.677567945877858,22.430719738429342,25.60915629909912,28.904418743248144,24.8845173549009,24.783221128681745,29.308443866873823,31.24637357679798,31.562832050616336,32.571253736617166,33.731088858756344],[26.144102680182623,22.85619555212554,19.882125518632357,15.835865223085426,13.029579352149685,18.034989658751876,16.87401257112358,20.789941233209884,21.667415302718265,20.222972457100212,23.789480799042384,26.605615965310612,22.71198808675927,22.026776221098206,26.540699196178437,26.434700062407636,22.587351760198864,25.85989951951985,25.88393640591279,27.319152904568327,29.661284967480505,32.05161752337186,32.41940329507459,30.429755507650725,27.746785516203836,25.056023222322846,23.178714277300113,21.066830800070633,24.11815115540998,25.604151479097315,30.84895507673571,30.390498967728586,34.87862140024068,37.04876265507173,33.40045965144008,30.312075102400062,29.115034964376893,26.661752766771027,24.48498491240663,28.67883646052413,25.375596826460825,27.938624948622714,31.64838180332429,29.803957449425024,31.34187636854204,30.110691415330997,33.84475661118793,33.2188514357792,28.98055143482635,32.29125552562619,34.75880958982858,34.449569735492815,36.676512027748025,32.23393778024185,38.08931482761122,39.87835758064714,36.27314723535188,37.05304169371072,41.707856464265184,40.571710622795855,37.44957410345806,40.47862314686434,39.75599229416787,40.916521949185764,37.508717411983106,34.5702590057399,32.956808432359814,31.45823328760657,29.50099823971482,29.481006416225373,28.665556199713638,31.923893129462922,33.388581906357125,34.71028886440644,34.527720984928244,40.338860005977324,37.33162279326001,40.94092545263965,38.495552616544416,37.87809515556225,36.065873006227214,33.729984912572945,32.69487359609688,31.203972026000347,27.467432555610227,28.36713020442171,30.555966267787845,33.25129775401977,33.10954548114814,38.07029290254057,36.453024826634774,40.41558642879165,38.091270658992016,36.97127855401643,32.7278479150059,34.806123130088096,30.968695351075485,32.43748489722723,30.485357402379506,33.16659407292972,31.403621428429183,30.227393994790173,29.292954105287674,27.174192255366155,26.750489303219673,23.158721572620905,25.70321809994229,23.138270475954116,20.86613436284142,22.504741921988767,19.053899366710088,17.24058613507521,16.76053111508174,13.860601314993623,16.246774898740043,13.758877098095468,17.177727198883325,15.396383274747448,21.351152463553795,22.050177892387456,20.028032972434218,18.544691707797075,14.11214813745919,13.066922801285541,13.443968903634042,10.280181898664553,14.111673815253253,13.250005336371059,15.445834561096497,18.635210317034662,16.648278478571633,21.056869388296377,19.47030405807272,21.970494468323178,16.27598274806353,13.370112467506189,10.043926192703765,7.908143247176363,6.674635427582615,10.456400102255643,11.242824582347744,16.100254461168443,17.299737969087634,15.37127031121819,18.77655248774826,19.92196578934521,17.059300464736822,18.928439546839215,19.187355493231184,19.984375297424165,22.41192597256762,25.21709832382645,29.37389860517633,32.298949719258545,32.10320305827462,30.148295629090743,26.828827661651406,25.790132654317404,24.84192390046637,22.225406163585397,18.39312069698469,21.392204134033115,16.42496005166854,20.856035463321533,18.29672275546656,13.599180968846076,16.12787291491592,16.266338080837304,13.69398518351058,10.509350009848884,12.364633900935246,12.069964420288976,17.22605675296081,20.316242801830988,23.142550226125167,25.862140401719135,26.13551788623233,30.71492406505548,27.95546264157144,28.45219625376749,24.30462344332893,22.617937252428263,24.39702347874376,25.34589469202151,22.35568807372634,25.489399573605056,25.265557011184264,27.68081932112648,24.950408604595946,26.180142332177393,24.523214473917342,22.693757762793368,21.322492992860248,19.73159607944838,20.95699251835112,21.928605148989526,18.249165297345733,21.31635446723599,20.505907918881647,21.14558021920842,24.919777340041374,25.31334834998126,21.345012359240364,22.145907383508607,26.376473763816293,24.161486498270662,20.228699698881236,24.999185053545826,28.701093696098205,24.261198721933184,25.04973780189326,28.98435587207676,28.103846742503446,25.466743185585557,28.797538981964607,26.77377457966445,31.849550855153247,28.58610896478557,28.501604035558085,32.491562334059,35.220423706434424,39.80145651946903,39.66254924877565,39.95722060338467,37.285458581260066,38.795782297031245,35.75751986494786,38.38204157990641,37.73820724962111,31.57930710255545,33.01342660430898,35.352680505246205,31.558607113861154,28.726625726166777,30.55038790798431,30.684636541625817,27.117437361777505,24.038052628408295,23.791470571660657,25.926779264177878,29.477678790771407,30.836607615233348,33.008886250235875,37.043407012213535,34.275650312434074,30.14108486522391,34.0022744755777,35.27075859075183,30.43980781339366,30.122908629271528,33.89837814124972,32.93109686217979,29.958026232807093,34.33710941727623,36.10023241921888,33.04689915807572,33.41521586865055,36.84811853464541,34.52457248910755,35.96884424885971,33.574598229991345,36.1551880357084,36.0155338965033,30.352120660563315,31.706483630694677,33.453229878885786,30.95162875994838,27.43075456790967,32.463696288508935,32.20486809254512,26.814239140988146,26.88622388417106,31.82353329507553,30.7004784368586,26.751592171170458,23.198436719129067,26.344683871919663,23.57662754465455,26.78355659256329,22.284410183213677,22.068942027303983,20.245473336975227,18.571483631518632,17.33040105118386,18.255289776438794,16.547843243473448,19.33821065665938,15.608245607256027,17.214823048131237,14.279977686431025,18.053484028622883,22.121285353672928,25.548197098638283,26.290578403051942,21.47339090058922,23.98820702048166,27.48171260173347,23.596583476723037,22.512609505138943,27.08321612049574,29.28771699173715,29.58582135775032,30.838317463573077,32.26390612001193],[22.661884407980807,19.26482246357341,15.70687739927453,12.401121936598406,8.029001249589834,12.976090291598737,11.640765906496627,15.269297181598017,16.936586844122957,16.172599140008902,19.931883766909806,22.10780147234793,18.66372683081843,18.887357262945034,23.306287608302725,22.929135512251058,19.78992011713239,23.714409953654066,24.975710792376987,25.959980074736126,29.034705082095233,31.48573577505065,32.48348025471665,31.131463077746115,27.866591038342502,24.995973622353972,22.27147843581073,19.54029207443984,21.65841160831758,22.166255967025226,27.823532561922757,26.45033642597281,30.937767083329046,33.60964825420479,29.98121231291318,27.469838430564053,25.600048866101037,24.3225972041239,22.506191191135386,26.8594762560603,24.776093502528788,27.004376679125116,30.68473210750502,29.50779850264431,31.768458743521872,31.139294090246267,34.781998641789585,33.344527144763404,29.330703313542408,32.717827248256874,34.42222325639789,33.65738634279133,35.547839962365614,30.9246703633607,36.222193188432286,38.67202952227015,35.31631700631221,35.326520262258235,40.1367316308916,39.801119559505686,36.55364122556766,39.20257948812628,38.014385481978735,39.917439362285194,36.74727837089352,33.24157819729194,32.00880563461686,29.820423485514322,28.460207230173314,27.772189035273062,27.568668859289463,31.091553073855962,31.922778120340535,33.63850741234803,32.614021815910085,38.407260950831734,35.343055447113535,38.47021260415327,36.01523287714933,35.67586018754442,33.24689399693683,31.18334757297988,29.290318074293154,28.208760830639005,24.913489378385844,25.40831004597956,28.173908883337425,30.046624047303727,30.63673684741301,35.04374875439823,33.75479557862594,37.87593367749575,35.27137740595434,33.65773326804643,29.316138789652783,31.426280083913902,27.55630946319541,28.31543285129437,25.933846963571664,28.00107488916771,26.59964556672394,24.81889469717016,24.463417426568622,21.8404498661195,21.96056833682954,17.910186386062506,20.53767395945226,18.331582695438946,15.624713270428447,16.872075641247026,13.13032530785751,11.63430770262496,11.217249965371316,9.136766801019391,12.693096039041894,11.520133655973877,15.56768543384511,15.350222761386048,21.345196038193194,20.737663718391662,19.041778955362787,16.750889536816445,13.195115652597469,10.743313259616878,9.56603242489815,5.489243779042631,8.162212354386913,7.510130687964664,10.10679916204918,13.90040947212869,12.719725997522733,17.336197019192902,16.65067369970534,18.242762198521937,13.222663613209747,9.555483149502335,6.947236421017144,5.328770979347289,5.980991689251578,9.527937498585437,13.039585246612537,17.603500300400025,17.541837993841547,14.650135831019679,17.679348442600435,17.533718537163132,14.375549852638123,15.016951793100684,14.390018476971601,14.783100317895233,16.668125058036992,19.656243892397796,23.5801350312273,26.690408899529398,26.702933877612914,24.695603859645313,21.65532945552633,20.306662943266325,19.997188674239347,17.070403393281687,14.229080132605546,18.068222484461252,14.288663031355423,18.74669040792347,17.156600474807757,14.028753033062785,15.822943550662103,17.43478696848702,14.446949950889094,11.248982538534825,11.386234644575966,10.39513206273877,14.838506120408773,17.207438557958618,19.622879346644602,21.650331780407704,21.955384091049478,26.487412362064006,24.447416638022798,24.705311794126974,21.389181247845034,18.522583777670096,21.282391339098155,22.992185283642986,20.282044533197656,23.959702957538255,23.922366070429124,27.053221223960907,25.44374181438966,26.271736911323707,24.814722561140684,22.150484585673098,20.784764899218054,18.608879443084007,19.310168879608778,20.119968414054558,15.842060771173376,18.25571645858107,17.172995632880617,16.700823038731002,20.71782526587789,20.338665620407888,16.29555958438214,18.014634487244543,21.910094510709104,19.252395496297396,16.307978534670866,21.12063339135357,24.073550524193205,19.921320116082008,21.378729880277287,25.090856805793436,23.814076054666728,21.952045951463333,25.679164311987282,23.928152559288936,28.63818100333179,26.474112129770262,25.57721193783543,29.265381131234317,32.153564589153945,36.63536596418968,36.551381896092224,36.27746608924257,33.54383706766325,34.85906887017392,31.505602379925477,34.58230272124303,34.321603050332534,28.00979519014613,29.358628326567782,32.4203483375597,28.86721953996288,25.75728894636235,27.87084919164706,28.82175454637768,25.209542055808107,21.838538246456448,20.75628811177563,22.00707414577385,25.52746685447224,26.408809193729418,28.179559927497976,32.00904751631282,28.954391039398132,25.03927741132723,28.890497047927266,29.773736012046093,24.8510816588323,24.904656555169737,28.528097123062434,27.433431005461827,24.77987095675425,29.358106925733793,30.974375584592213,28.047391123652986,28.83038530950653,32.281254179756985,30.1756178545063,31.44777479860162,28.882075169850733,31.813646001702615,31.990832504726676,26.288155546708932,27.71658821189135,30.018935478759573,27.65443611032216,24.149948518209136,29.55977270697663,29.861462852780175,24.506466534237205,24.620899844046008,29.93871321146099,29.305788346958607,25.463107182582927,21.84583350575067,25.936864100770755,23.399550828611897,25.6893835710131,21.004420346048715,19.62492070242459,17.232433280907234,16.992444381468143,15.747827824444576,17.498858854183542,15.231571085384127,16.682197859382242,11.771175417942226,12.882830633462572,8.956796585422813,12.79878097642094,16.397416955611675,19.945285167282947,20.38748454949709,15.669151696700292,18.65053492026669,21.911271314614314,17.913645111197514,17.5057728936379,22.078944213203567,24.037248054756983,24.422614829711474,25.605385795196796,26.952736310254664],[18.35191883603034,15.230228905080471,12.897584278440354,8.063627869981378,7.225910472780938,11.186094014288278,11.293822516658661,15.817172896471554,16.46470328280969,16.521269501949746,20.17009462111966,22.77077651467731,20.466999467528815,19.601779037452864,24.615302351637155,25.058779256913795,22.291396659169987,26.45976132527081,27.83081852961408,29.63577347460141,32.64372428164843,35.668059138608,36.37281929211375,35.021708089095355,32.074334910926,28.70508248038844,26.40790003317329,23.23174430422252,25.16576388837909,25.533255294912934,30.313735098474965,29.356036054688143,33.566664206474485,36.62262997503013,33.45679638021723,31.08716710610523,29.615827642296058,28.80520242145708,27.430796735757067,32.32815446176727,29.943179325393977,31.60704205736275,35.59632646590041,34.58263516237779,36.586582048104795,36.002834853177404,39.77127205413418,38.55432305741198,34.6792806074006,38.30256452821432,40.068237349421054,39.50166637038374,41.28488628006682,36.50602698091386,41.73392491953937,44.099079552178665,40.52110691518905,40.32908138406624,45.17995637626139,44.83183530671059,41.1916093608327,43.46726447784937,42.004324917936174,43.66326782734928,40.787755115381245,37.29166739103491,35.23371726210873,32.82854546936333,30.747177061226175,29.51501879442516,28.94382644397313,32.02910018110891,33.45576975209072,35.80781505442159,35.12427201466415,41.261018867954746,38.84980973253459,41.98032117198366,40.00418198944524,40.16107191618162,37.919771686012396,36.365260702141775,34.36402046020176,33.753252506137095,30.503826422436127,30.455040087789957,32.90130962774933,34.45842055297519,34.625898876582,38.627279276014804,36.83853659424774,40.55394378549169,37.57827880357055,35.80580915356004,31.190793494089004,32.639582482281384,28.437689216448398,30.08009711628946,27.56962036731875,29.51465931906293,29.308397662699846,27.72694806464363,28.289836351850262,25.76858937809699,26.924873441225436,22.49624587574502,25.04475831573767,23.04056295207156,19.557714591330956,20.61625932636818,16.16170297951412,15.714243031698166,13.7788378622431,12.852755701495912,15.218702907781985,14.27460775537994,18.451927507499487,18.186416213302437,23.873990704465886,23.063903475327788,20.579169445400765,17.966661891474246,14.172213273021635,11.798745251474022,10.118472944035885,9.05766902370283,10.172181261392936,11.976325785900272,14.6322311841758,19.129437918011387,17.783457330870977,22.448551830099376,22.384709848138773,23.958862872939395,19.233813358348776,15.564349754374984,12.555888646460174,11.431274801010819,10.765401452521346,14.474350818648208,16.73936950927743,21.764874516406152,21.583947006972263,19.091707902039143,22.461632857537314,21.926934944055365,18.64710490178288,18.861458332143243,18.307464006257543,17.263008031481046,19.07868343389933,20.766594818723277,25.095220493052487,26.905659524733675,27.445189590173815,26.414479527296685,23.718315264686197,23.10502417422234,23.275184327124705,21.252308092669928,19.389657794701964,22.972426282483173,19.65420649584627,24.319868670516062,23.124659727002516,19.719437232092776,21.850883851191085,23.009982288245418,19.907791681327993,16.84678141667835,17.43574123388058,16.48310438639221,20.911964387073695,23.051627836158467,25.089289627700946,26.754381638462036,26.454641423516946,31.31107885021991,29.794290792003075,30.209735007873604,27.31651097675854,24.117222358664627,27.28042305049214,29.123028312872115,26.46959160607634,30.065088013642452,29.766949179523202,33.04413994971067,31.108499585167774,32.2433310696366,30.76783220725741,28.26356098206721,26.783560771240182,24.520314865017635,24.998106098032995,25.299344635878615,20.712335272549055,22.586976836333335,20.48473466697429,20.07788020505794,23.165985512581653,22.54052409654183,18.431390342713755,19.289789885795276,22.865423515423625,19.601250845654082,15.795522286142786,20.67204655009391,23.588683970592104,18.28359515882522,19.319417228716556,23.115054050638918,21.47429648365992,18.690726330512927,22.55573802621814,21.218070663768486,26.292328230458644,24.643894055844065,24.390530088928582,28.090069926603206,31.756741847979935,35.883742321628105,36.620063068085834,36.859926298838744,34.704275794151364,36.6022362268489,33.734990661695086,37.16299837408832,36.33742475700791,30.079697868343498,32.217403625642035,35.19886252395212,31.219181818479182,28.64729613524017,31.408980897590965,31.635027700486923,27.6028800163835,25.531881185081385,23.533648256339546,25.766032748840033,28.98372399434428,29.035048579041316,31.126132346367193,34.40989086349183,31.7006465559683,27.648981947589007,30.533014136872552,31.461317313782715,26.550037054098226,25.875272738075154,28.9588304632008,27.512387336501078,24.433905990945608,29.047065362796765,30.241959219181712,26.620493393889546,27.453876604259808,31.192056407054647,29.367710875395243,31.42661435857959,29.592290527572473,32.778279625577106,32.038077688212105,26.31480233591481,28.78642954475959,30.54297837203847,27.650075216892578,25.04531836020159,30.74656272120037,30.114117430983978,24.678324741295256,25.977605012467446,30.996129702498184,29.524616830401165,25.531948848045396,21.201328509652377,25.129711879370106,21.70732758119444,23.68290898387174,18.43458889989354,17.83365850502565,14.562528065111872,13.699249868183323,13.709512669709914,16.20458688659341,15.22661189060981,17.30951211309892,12.897352802961313,15.686386066113378,11.679966312908714,13.329059164279307,18.065420079613936,20.995147641524678,21.609314578601374,16.262534692998624,18.022847439495848,21.319150898284462,17.500095919086885,15.424399563158632,20.064875831206464,22.25051686308137,22.45263686487211,23.95083118109671,25.68114460886075],[22.881013700428586,20.0863283033976,17.809826582895194,13.01155027928085,11.046447649319258,12.865632131015277,10.630924878611118,14.492933566087196,14.058193648496,12.244369069779541,15.694823063883087,18.88283049981638,15.500409251630881,14.117981652993599,19.01602163857813,19.4972314893903,16.17918774443828,20.05568001422114,21.156083301105994,23.223059775680632,26.12986522878399,29.397696614403618,30.01037112042096,28.829734091668705,25.951218793089637,22.31588702621787,20.219344569883614,16.90866290853969,19.043931804377525,19.977180279326905,24.38269628730426,24.1917191003033,28.40571553472768,31.029892645944983,27.92256880185667,25.191302167398877,24.353110534617066,23.08975123416997,21.970332420220497,27.407888640397477,24.60919053857245,25.661077529610083,29.867734900142988,29.087881165555373,30.98027320311397,30.740127328403773,34.56159389489556,33.28009128657949,29.7917377366627,33.84982501900352,35.344745887136284,35.11298225978513,36.61820205533532,31.61456446565413,36.816559005961764,38.89083724930354,35.04479580885544,34.75611210901947,39.58138886168536,39.13304781892015,35.178605039897896,37.24805523723492,35.76086513026195,37.18051206060479,34.41335646600379,30.993140677283947,28.61560856347871,26.29798501782947,24.047730501705857,23.016679892141347,22.35950858514777,25.54305992028482,26.950341147961222,29.13350388818508,28.6524723599613,34.82215616875047,32.525358312191095,35.860402936208985,34.04538800472636,34.335198694240084,32.54957486897345,31.332077458854965,29.858869710535547,29.603872639240926,26.10707822220551,25.547425766608686,27.358317306143757,29.175754599761728,28.669222205580454,32.84184482622024,30.753003491045806,34.36787121712381,31.555216695034105,30.13254044030202,25.623759701481536,27.241542980375876,23.180625181984542,25.223416974653514,23.292934335649228,26.298702191278643,25.239226248231404,24.886336960972262,24.572030988889082,23.33094534593709,24.766045464740674,21.101238502063556,24.61175567430998,23.326857824412638,20.661097244978627,20.768781352181833,16.548950586486626,14.112168121510708,11.475376798194688,9.017425994556787,9.67097654049129,7.950718756204999,11.924706566782366,11.689022855414096,17.200170349832764,16.39088006877517,13.882921245701727,11.47672288777676,7.479894410070398,5.430424102265254,5.698842975937817,5.835285948008309,10.549583249488192,11.56741797040483,15.189188736481771,18.584158704544443,18.81238902195289,23.25126303745226,22.346831969502365,23.0721062605511,18.364912091132272,14.070924265509714,13.339447071406475,9.720660911077438,7.193389010543701,9.835540826465992,11.7509511012844,16.54193057390729,15.652908293039934,13.396492119896418,16.876325835095376,16.2508018202693,13.083387674570712,13.912251386229816,14.542408078221401,14.001007495652775,17.270079793522125,18.846655357651404,23.662183738947988,25.801285594655084,25.195752394328462,23.787971567155356,20.386572356397608,20.44407309727538,19.344088607615905,18.43670544724806,15.851089262814986,18.226312008765138,14.986985667163463,19.79254912808153,19.53111060739363,16.65497446503645,19.821831936760915,21.532845224017418,19.499489531840613,15.592002413638209,16.190509832328516,13.83135573710889,17.864454572858385,19.711795563215652,21.29360555608352,23.309507942378477,22.20404336736871,27.520295679271268,25.787612962252734,26.899653027466613,24.085356527221652,21.783665245785425,25.378163434032476,27.29435322205705,24.189095506246204,26.70258599768912,25.525713509423635,29.326347439296192,27.142472041455402,29.114863780544223,28.34150780476719,25.924764069319636,25.570975037852417,23.976148854174884,25.157411066027322,26.460897867607503,22.398918672613846,24.812601150545923,23.729002448039346,22.697025088403144,26.676131071068095,25.564997343731974,21.511951189856845,23.6449248022387,27.104933505987592,23.658785846217825,21.037653422949607,25.905419888426277,28.14431165494605,23.270384271142408,24.955907687044498,28.52929415658953,26.35051972222488,24.231958855816593,28.47734432522016,27.38803365276609,32.21944873495893,31.007664610372,30.332161972371875,33.87932880350829,37.386650783553094,41.556498921629014,42.030856500292884,41.75336125569502,39.26809735927839,40.67310452389491,37.25672653198529,40.67617638079271,40.50177633418266,34.15914916264159,35.606428283013976,38.94068264108188,35.395684575046076,32.310006960701365,34.51173572829696,35.56618943996818,31.882288597730504,28.60285072189204,27.30512722471987,28.20582946201862,31.669612499244995,32.14891472487186,33.52330826200373,36.9893866647983,33.56705615771064,30.079265956557546,33.61845523924271,33.85786882420914,28.826113709224213,29.212687175990894,32.17702294992967,30.50169069804094,28.154227478391178,33.072114000538114,34.016862012015096,30.50680426308499,32.082181937373086,35.834369035464434,34.2441990921841,35.939939565176076,33.67134774802428,37.04347853095998,36.95616592029571,31.236478828836454,33.276573991131556,35.61827269779374,33.03188805796272,30.01114136335832,35.67270126756628,35.701568432359124,30.30159760039721,30.95212928557817,36.22290429937706,35.25892924075583,31.323056896435286,27.281193021639456,31.282212513512,28.127436883423588,30.230031330346264,25.05946720329717,24.089477044970362,20.686785806523165,20.34614182857976,20.158471569808217,22.464347187166048,20.919072862543835,22.59425369246359,17.518637845702806,18.987181153601806,14.321169717809655,16.906615814688255,20.230414010844882,23.633192138376916,23.110076943565574,18.25693430544373,21.371294746420507,23.827262527983088,18.831738701820637,18.546718546282417,23.46430862946097,24.547945779263692,24.111233499633883,24.895918354143316,26.207579193302255],[20.42863684033712,18.077594522312427,16.542800589157515,11.610468800726185,11.062169103030183,10.544763253475173,8.38144089336971,12.25075121759969,10.795132251036621,9.54930350140383,12.8512716605893,16.16442990091697,13.910596717805266,12.002403457641517,17.190824361906742,18.217940352901845,15.729728531480196,19.947659409877257,21.798176216812898,24.162261484123224,27.307944504635792,30.94558495626397,31.670142991695005,30.895830206228993,28.022671739057966,24.06393730979652,21.93940558210995,18.14984731925897,19.472230636577827,19.773649323986252,23.45436140861635,23.247087203225902,27.13865340258164,30.197070470796326,27.540705421928532,25.251196720354724,24.50637422975785,24.20538204641956,23.69305253064963,29.465967535672966,27.105473187405128,27.476267405530653,31.778865870993876,31.507509497869474,33.534835284167514,33.68453773798813,37.46448357828034,35.931557220973055,32.78577552840917,37.00360706013008,38.10045971074622,37.8346991635039,39.03387371463988,33.894592975244215,38.664958957000536,40.92795665983479,37.07842672551599,36.243931197704356,41.08732790330512,41.036662734778375,36.76432671825042,38.29209592322435,36.37973376948857,37.96523248090934,35.609931485048385,31.979113382207835,29.23228001238569,26.43307607965286,24.042396208205968,22.23188149683248,21.68931942855376,24.62092458947208,26.03881317476557,28.86744036125084,28.184843724705615,34.48378771456591,32.70415218607934,35.74698894755826,34.345897360114314,35.1672179609254,33.3156601973828,32.69783754609577,30.8499004384176,31.208589119661973,28.015635151478556,26.796908879190887,28.50038423005131,29.644156325635286,29.10153742544752,32.598695979117196,30.295586914741953,33.605163904217434,30.427978357185285,28.693609894763796,24.012449033161303,25.125270831018508,20.863149486426646,23.28571864508549,21.193387984926567,24.024981747340867,23.905044096549858,23.753451109870902,24.228470646768972,23.19415000769662,25.674529282703187,21.858763415318798,25.480501650030554,24.721647045151474,21.69764071921834,21.216909260161785,16.67607493107323,14.717167324083112,10.94229141362935,9.900588252438446,9.569178528004672,9.235290766742107,12.953232337140186,13.721345360956398,18.40210853175923,16.65060394049848,13.907843436826933,10.877734226320714,8.083465871487679,5.533096270386588,4.271369881415261,7.679757865831136,10.5736427507882,12.975827998486304,16.707386212126497,20.322560021094088,21.118513381968718,25.47593404097938,25.135788222893844,25.294479147862777,21.19755808871017,16.74336240556281,16.422224270933683,13.269937604496308,11.184156604034193,13.27653308791285,15.389728011862763,19.856699309922067,18.287238553797543,16.049464901196828,19.251825571265787,17.693421862754807,14.602475412935002,14.396617014136853,14.810974936607524,12.984405069096834,16.18343824039237,16.636372717137686,21.711439457698518,22.984459151030673,22.50225756296056,21.762862433197192,18.660824650053772,19.381278928988877,18.695145021336256,18.69926594114841,17.34410956193532,19.56238970974505,17.504386552705668,22.14798203295545,22.707797754211505,20.482533328360873,23.52003718294998,25.566863952683505,23.45564062379498,19.61015007507206,19.838541170295525,17.262585793762455,20.7152344861432,21.96349665532118,22.941228183098648,24.348893073328117,22.677941700195767,28.133463515148897,27.14169227660786,28.355612703767022,26.32127075508296,23.51483627411457,27.774601151433288,30.07184167762698,27.115922538520635,29.584093045627437,28.226973776215527,32.42863831938388,30.57601882153931,32.62046498541136,32.034741032852374,29.409587681845668,29.15549565831077,27.406573514044474,28.362292654829535,29.49712731819316,25.2117476986524,27.15314115359139,25.68192036783203,24.0938152799044,27.76582221661442,26.041565957734697,22.088962744130658,24.439635519945487,27.394196135725164,23.42065874609375,21.300270012415698,25.995517122923612,27.52390832779885,22.400254586476017,24.33507868838421,27.62554073003499,24.857438553241327,22.90111326143189,27.432463413331124,26.877618628834835,31.507207993598087,31.32633609129506,30.526563883234775,33.793336662420906,37.72182607519639,41.57405639227929,42.48276459623512,42.090587848349095,39.860676449271814,41.359955748839546,37.977137375730024,41.77190266607879,41.622969671703025,35.30877986854745,36.96413875679623,40.627910178484726,37.10321906661761,34.10908832975556,36.62415029811902,37.818191150192916,34.02227584626393,31.073442918294162,29.13700029514454,29.8488425637611,33.11925610685511,32.99795751046755,34.14624849650565,37.165361978874046,33.66365977996303,30.43967158882557,33.48735077901423,33.332632647729184,28.333111634133683,28.777638617778837,31.190236186177273,29.16121638276244,27.028866962387934,32.06143099240261,32.53327449504776,28.731127987988863,30.812757375724594,34.688235634364176,33.50995945880943,35.462953929934706,33.47525444913326,37.17368139058714,36.881948643344764,31.255448219693754,33.77949626908393,36.18856216084259,33.50100217503918,30.954637844556654,36.82701249993672,36.76580022523653,31.455458133603305,32.57823708575645,37.83195321159984,36.774264836690264,32.88750821189118,28.615583384769224,32.85638271795648,29.48330917137454,30.993979622131157,25.630548013649694,24.488059749256653,20.438486649301357,20.63871608049229,21.07573358342962,23.929207534845617,22.709673109276793,23.98634544186419,18.760734191073617,20.454281834025146,15.458889026801543,16.83480789942891,19.925217536670324,22.98715681539797,22.016706745775068,17.186270691487604,20.073011811274117,21.961778780437395,16.70884031304687,16.388566629030784,21.26443708693013,21.835383234152903,21.021857213919212,21.679499044793488,23.053096945374246],[23.215331440000135,21.323701440210833,20.49550004220177,15.279285194614324,15.58926975967965,14.429734343449654,12.213552961200737,15.440292749862724,12.68910178827502,10.474504899149803,12.786686018856967,16.80135822117446,14.61167957706507,11.247210954287253,16.337266285827422,18.04812511739914,15.41742213826584,19.034533981541355,20.321714731224823,23.450922139637328,26.165649864516002,30.202219922095754,30.51405088384823,29.74408316500205,27.34489108080189,23.101695558315317,21.700252727062885,17.96314830981873,19.428978382491362,20.289305291360822,22.77587895290747,23.692340601910526,27.241009301203693,29.975344518800043,27.725905331340144,25.20348924165546,25.331419023352108,24.69296931500843,24.50584741917664,30.60489040354735,27.65683739793339,27.40357208465106,31.882347366524236,31.70456627323598,33.31003813009677,33.57470093303868,37.38497809377785,36.13374713853406,33.32275795849206,37.79892756383584,38.91264253325108,39.043806117262285,40.08826458647368,34.87960331420825,39.64079111721034,41.48998470710662,37.37243067060127,36.56896386430715,41.28912541216709,40.978195648623895,36.3910646415169,37.623242063458754,35.683789474982085,36.730082474719346,34.62848297820594,31.28632494130061,27.759090237499485,25.14481737273719,22.01778578344131,20.182957393337837,19.097468469532373,21.56196153057048,23.60735863975526,26.619003653562118,26.59682540205925,33.00543141766928,31.79922050963272,35.047103524550224,34.08305480900307,35.188585348166356,33.93571409741685,33.72831406074495,32.402781340812155,33.05301983356439,29.715160605764922,28.11103936888925,29.067264909002102,30.38615984587605,28.9870998299091,32.40480614913856,29.548731073867433,32.38478401113739,29.23677294253558,27.858203510048046,23.27246449410814,23.979964710421033,19.776859106512944,23.28358858695908,21.80041686762531,25.34558456201431,25.207752767027014,26.094879251345784,26.28257120386804,26.153576390750214,28.884243118665037,25.492860380454548,29.391166554280417,28.856233089083457,26.063911466431136,25.349746068610578,20.937116511239346,18.521130350336488,14.541974546815254,13.088647345070779,11.041100669783217,10.147566694107633,12.72129239420312,13.06555000092781,16.713013313545833,15.229681637558542,11.92682047085458,9.420953588691392,6.914703615313849,6.474777745859472,7.532149618814868,11.448176701206112,15.030530378672307,17.18825835737904,21.009000155011353,24.270058706569408,25.303275943268364,29.60774035346565,28.906038881789424,28.966150953011393,24.780593540365416,20.30754588922529,20.301513678898935,16.532956527652672,13.625110128950025,15.131347305093291,15.824172298262543,19.94991014791635,18.218651347447047,16.769698705322856,19.98961657338279,18.596281660201793,15.906720674045664,16.19820313673313,17.47496833998232,15.707781554595867,19.444187653692328,19.22569123468608,24.464066967750142,25.185589627429554,24.20509601226121,23.794413537649188,20.547297334951672,22.03967859557971,20.699682811040134,21.713766352022066,20.124757911691095,21.330197632737637,19.336946914986047,23.870206569093984,24.790804127649753,22.497952412106635,26.11612483157623,27.959476643800123,26.344996400581337,22.29092192029124,22.898805759283736,20.03273571681811,23.38907651601007,24.581891637668864,25.29712574503455,26.880431196419732,24.609976588125775,30.26637899121307,29.212823444092283,30.87471636350385,28.864888281510485,26.69656573491984,30.95809411307727,33.13481054567194,29.964816824226745,31.748988471462376,29.830418167366634,34.11700999636147,31.806473296214396,34.45517057465857,34.17998022787939,31.8589036350267,32.06463939109069,30.68513666714325,31.958577723198847,33.37701781826509,29.28318475066135,31.457600070661183,30.145922661180947,28.62825101388561,32.36570529403856,30.613160192902097,26.681912740219,29.02091728825706,31.95710702358624,27.909078699104874,25.7211089404019,30.40078475752591,31.851890786877938,26.559372498332273,28.396409306994137,31.631043972568715,28.672368862063866,26.51696434301229,31.04597725387834,30.683571510205784,35.37076148094254,35.279674623996364,34.723179257794214,37.991983053558805,42.062161163311515,45.82506673661607,46.898405053249846,46.59649995355023,44.4287159166428,45.95728893077328,42.569551173274995,46.36835468028286,46.22038461418704,39.90493269479216,41.54207146851744,45.16881401222115,41.61897525478926,38.62183577950476,41.05112809657333,42.183806550289226,38.38579106398651,35.37186452642705,33.63141774613603,34.326830974795875,37.64119891230802,37.578028588547056,38.63408051023605,41.610670265092665,37.998944579781,34.92084677221777,37.94307459772297,37.61023164254433,32.64114705681072,33.19685334671411,35.403849761349676,33.22173562853151,31.217578249192847,36.262869251231905,36.50317893880455,32.531915651013335,34.82038653308136,38.750408989321535,37.73257655640832,39.82608007816028,37.94731851892973,41.702836154881744,41.30926340088827,35.70617868804006,38.34632501987051,40.688267508737496,37.92651821471294,35.471325060993124,41.34260494832054,41.12438876359817,35.7826606795383,36.98900078628805,42.19026799833977,40.95786620212648,37.015850150297474,32.65144474829446,36.65512057711342,33.057817696060276,34.720666944874694,29.28861025146058,28.535819057779186,24.39371168653127,24.22587856795638,24.934054052147935,27.718988539047576,26.750474207321712,28.35208312348469,23.25200719474862,25.00461920354438,20.030117932005034,21.389280016381637,24.354106630192675,27.34507439814617,26.09289298729831,21.44207644797874,24.252987626993118,25.80280238749609,20.41268088434838,20.127130261350935,24.863179742987594,25.023193735846107,23.80217583142671,24.173745472182656,25.42264467314149],[24.294693499180145,22.479415223641567,21.307705989453275,16.912630345463363,16.247883860991156,13.900393077565873,10.675380371486533,12.595817148198048,9.326140811390504,6.007229644333088,8.03302225598912,12.13452239478595,9.869904207790778,6.416274524869725,11.602413299995835,13.311101734253386,11.265147757114805,15.232703840788309,17.556740350717725,20.356502135988578,23.52416030298155,27.599948765848623,28.349238715929335,28.155044102333132,25.436564600193414,21.139804192868866,19.289862262899973,15.19495755872585,15.721573317529646,15.985065562723628,18.265972916688614,18.962607675946398,22.413214778544383,25.32758680510451,23.222084412412556,21.046775873953116,21.112890506314915,21.266903727265426,21.60828428051686,27.83440582605113,25.62090505031251,24.806011934320722,29.205893554265817,29.60980551407039,31.602424203972888,32.39193392648567,36.0443141826369,34.267370344069626,31.85795985765767,36.399756898004306,36.9021658668654,36.89156920730395,37.56988096149053,32.29262158428783,36.53171343035039,38.64435665128376,34.66343197346246,33.29335862916702,38.01466763994437,38.222344689628805,33.50109962529332,34.331264883071555,32.05127567619717,33.55207138803302,31.714005385549818,28.03835670817383,24.732359878490165,21.602222113835595,19.00070544218805,16.593726708349934,16.152364333598708,18.933441297943556,20.23083337995639,23.48376579393478,22.77771920392005,29.14178398303766,27.969154676843683,30.892518339418107,30.04105432177182,31.4421775845766,30.015331292360717,30.245527708628618,28.647447466448643,29.809239940575434,26.799107593107465,24.625478153350706,25.53880759226338,26.29060870497705,25.055189384837046,28.015518741642392,25.251110894874245,28.133203158399073,24.82457976339104,23.19952287524979,18.54414119451517,19.34708578167164,15.108704853546122,18.382297721969174,16.940334285893435,20.729064357001874,20.482942922716102,21.836518132562205,22.03324133975445,22.4913196618659,25.799742968508564,22.810258139646994,26.99217295917825,27.12578161356443,24.673983731715094,23.23659927717728,19.16733622620908,16.300821712026018,12.008010682460686,11.013739818448663,7.734320610591223,8.304145210762153,10.291564416028237,12.201453228966436,15.098443913881324,12.310929233539463,9.575275099851982,6.280651217695752,6.386685130401864,5.3027024159944185,6.106506243098481,10.932002042327731,14.137340379462824,16.196187127276527,20.03187669774041,22.66634005816114,24.73947213533125,28.657917103746794,28.09417900679783,27.313131114497146,23.886765432224767,19.373448693401887,20.651275027036228,16.7852746743181,14.320553813038446,14.788374927182371,16.464462334835606,19.836152183572516,17.180156647614826,15.461897521492768,18.065201139102463,15.688783349247622,13.269874579066657,12.72660165663479,14.1533273498865,12.078331099776419,16.140516492695127,15.521944834303321,20.74227619187068,21.606500403870896,20.034926529044764,19.48338201336771,16.11798571110878,18.083036527604282,16.46243541755136,18.388253665785168,17.509434973025403,18.18464615668307,17.481602349345724,21.59612823228624,23.52651510738228,22.382659037341867,25.796220414912227,28.32586531941484,26.965747046041514,22.904334120233308,22.885287290350757,19.51990192910946,21.897214931593872,22.357762965120532,22.394800784410755,23.53138474647991,20.749991600698173,26.423105456605644,25.88007082696613,27.725799211947983,26.463432223519106,24.227781027931123,29.002525857656128,31.49641655756838,28.454950683263142,29.915851895609247,27.77592911527725,32.51470381264176,30.82417435335492,33.46984010075753,33.573785461392745,30.978923595100888,31.608494040311957,30.298135218233565,31.5455450656563,33.19916668609937,29.27767537814129,31.237992097260484,30.247189291486393,28.082779969418507,32.02887955479289,29.766921852623973,26.088376536394307,29.195375688715043,31.76937484625264,27.60862870377712,26.465195555871922,30.94915241614931,31.706719745671386,26.970104704972428,29.323408374166206,32.26464935755005,29.01171603181941,27.65233574578569,32.3746561795061,32.18001147643276,36.47779642545841,36.99627434539223,35.877821058143184,38.88171707849945,42.83625871956597,46.535977541128375,47.45457480566783,46.64362077437289,44.333417685066735,45.51377801108503,41.81682154436091,45.73847046856306,46.06060221329988,39.79611902321821,41.06067016541423,45.080895373088914,41.90588565968019,38.66415624343816,40.92831077205913,42.72944954530349,39.14517430350474,35.647366682662394,33.87463917086611,33.62624063497665,36.86864624530947,36.73269914853437,37.22850546475425,40.05823815954149,36.08559388969417,33.52590279770388,36.68708658319085,35.82376486915626,30.94833237995536,32.16571524300661,34.13010118184025,31.83556202578541,30.434404647621736,35.54935167425752,35.59783781388469,31.88720674303931,34.657290891944974,38.48938150369584,37.69227388347008,39.46201872164606,37.34866948245798,41.25416421947777,41.32697808790521,35.85381524162781,38.257955124142875,41.05180641926825,38.559941693052416,35.993455997809775,41.857962734314555,42.19438068932716,36.99201341764503,37.90774677771142,43.270830824903676,42.51154735980737,38.70446926444814,34.53403947497186,38.92333542269248,35.6398004136891,36.97721277339549,31.620090053726006,30.196464182448523,25.95546714773015,26.60461051964873,27.102358634273997,30.029151861361214,28.623735429251994,29.515715282446052,24.031710908645127,25.04758604876971,19.92583886528878,21.22512983745556,23.080459386560978,26.07735912401384,24.120855609014107,20.131906708209527,23.562149280069608,24.43843524614291,18.690074365823968,19.735678711115714,24.30956588498009,23.745116765247868,22.289755846851843,22.17490363406076,23.0667199999076],[21.75308258026584,20.45643938205089,19.87803401762238,16.172473645468802,16.357874561808107,12.122649442071511,9.475372224849004,10.494957326655284,6.057313833223714,4.901349108350372,6.099020669431775,9.617420340466605,9.896305773435515,7.151672244730145,11.733498890514346,13.747438893516595,13.376468645560548,17.5574879641191,20.830789458441178,23.34129252168863,26.801070162518936,30.87176274585316,31.91468671076313,32.10074394399728,29.246927679598343,24.99188974107407,22.856996377396356,18.62009677136924,18.16095818952037,17.29596552657992,19.035299047593234,19.011231076704018,21.974935001643566,25.561347369637687,23.93824425157022,22.595056657917134,22.281087090044057,23.724823214283735,24.47701114876015,30.583439418206027,29.15785052592847,28.095545674135728,32.336042131202866,33.15255490026551,35.42992776222049,36.46863740714487,40.00997939508557,37.9073808455433,35.6621179735837,40.1267993601393,40.26824145329903,40.0132696555634,40.47582931731466,35.215663271140784,38.93838743175008,41.42703904082679,37.6686801832087,35.75587048070274,40.453199651312026,41.210239083225154,36.436814256773374,36.82271827106799,34.14087289681866,36.075840273642946,34.61125223473776,30.67821868816454,27.51689372837659,23.89915833631776,21.6974491718657,18.49928740824688,18.547500713730518,20.988048885578554,21.87879224274617,25.688041193025484,24.404913838886323,30.5888969339769,29.79251544954504,32.13633670540596,31.5814970997424,33.40360799078464,31.615441256270557,32.27673425920244,30.0322132147302,31.649469133553822,29.127046519379792,26.586933903988758,27.761592401429684,27.616282320922437,26.872415604989392,28.912531614655023,26.294241933127978,28.916976392250394,25.21804237834193,23.00611476745934,18.28229146412788,18.454558780967194,14.08669384406312,17.17211327411703,15.215690968806735,18.184825498960187,19.397828780315862,20.46746963565503,21.846300984773734,22.096074918286114,26.310617930969194,23.100951932786575,27.071962297165346,27.627124132615883,24.83683809666235,22.972090757822325,18.84267843716352,16.890422642638885,12.171726694417867,12.918526663331022,10.28896774296564,12.186417543399564,14.187094797576332,16.72055608934238,19.224333114120732,15.730216671680548,13.482367550025497,10.137581398327477,11.128298323079672,9.3480283424092,8.104020556014008,13.234707871673336,14.380017452392067,17.35126574708616,20.92657073745374,23.768520185867192,26.111474070563144,29.87489019634117,29.994253434011007,28.81528930656444,26.03156261654594,21.57355540350989,22.85010765583114,19.714198185316494,17.92076967324,18.589770240192866,20.963358280116758,24.318820134346428,21.46673355171491,19.463825155033504,21.72538275148656,18.661092274603636,16.337168294733175,14.596019351099574,15.141836542469486,11.792063756573075,14.98125334546794,13.001840161837457,18.15192165040603,17.92170340291416,16.7164078013391,17.088701171023533,14.48190865043082,16.941819823506,16.325931873556435,18.736838111703292,19.32488791184594,20.358879026709666,20.67277085452304,24.519926395172725,26.80399003545884,26.10386755949857,29.06945199692811,31.87492331888942,30.171119755239975,26.29652902583134,25.88227531667907,22.650549996049495,24.650725677861637,24.651217474062623,24.284230368655102,24.645794642063287,21.717523131101306,27.14598245656888,27.47522109892043,29.108071983974707,28.634812061623542,25.656691853561412,30.88621198252856,33.72803271985752,30.992601700140998,32.77588433981832,30.84813952562146,35.77482524735119,34.617691721770754,36.95568439463711,37.02303161800573,34.13373302119523,34.5585335658355,32.93265826340279,33.80903340247477,35.13873045425391,30.989224653066348,32.399389132146915,31.01759890713145,28.38434700200925,31.894415857029063,29.10404494323584,25.6882067787291,28.914069878273896,30.895433936365343,26.40759385431052,25.9284151403147,30.03359477778177,30.01325938934109,25.376599674964353,27.95673942715679,30.4677992100286,26.768650105296178,25.846427423499385,30.658794627809485,30.95442159080927,34.8361666014751,36.37223619207828,35.026708177131475,37.651572440082845,41.87023893859701,45.215072592520244,46.48068954541417,45.500929647245705,43.454955904219496,44.683675150108186,41.07461709332629,45.31558451600732,45.67183525422136,39.54245242980415,40.986638118755266,45.29175436432018,42.19877253817722,39.093818486660965,41.65652998460431,43.59555557815438,39.95586271765848,36.83948056229288,34.43799949273513,34.016849775417825,36.982546373250486,36.228406780498766,36.50202467877584,38.809810966116274,34.87524212689336,32.627765588764625,35.20167225722046,33.97038667355027,29.27703181621899,30.526612987654786,31.883428195683162,29.31298274709703,28.23174892180434,33.296309725119826,32.88574107251957,29.062998441589453,32.28748876500605,36.10904586330558,35.7349588637741,37.645572445807126,35.81753807699185,39.95799526735285,39.89109493002518,34.651132465658556,37.41261461191714,40.26506976042572,37.77544251081545,35.684274406748365,41.62730621974004,41.960440492748205,36.96645825653514,38.25143940661948,43.53585316905294,42.78998734825807,39.12040740081174,34.88026500234579,39.503589481906594,36.198378474548534,36.89554229483762,31.55436585454834,29.82954804459933,25.238182938580003,26.5424482248938,27.42357737946729,30.72828316871596,29.514768050249458,29.8905435508577,24.440047815388276,25.540633255227238,20.4303328488451,20.588428008561333,21.99366104432824,24.47788248325649,22.15452014138589,18.53002480163251,21.56148408271307,21.727003826504546,16.084109662255308,17.307344974103703,21.451185263189664,20.25814808194484,18.454189285242013,18.12706931747605,19.026574571884254],[24.908978311473856,23.882144137101815,23.45922832349239,19.937485996551494,20.01625070030212,15.581376655129603,12.770305750184685,12.785004508044132,8.050970789047053,6.062034362452509,4.685183647748045,8.39973187035135,9.371955421228533,5.873971634393607,9.323013407929459,11.99225197197538,12.415071631736168,16.01130050063849,19.514104398338844,22.195260483802876,25.532737109881197,29.77727664129046,30.80153750590487,31.349491739056784,28.686225385692296,24.373793383523452,22.515225412410565,18.34603577827805,17.32194366313178,16.370428992025598,16.750296244121206,17.413036550875223,19.811285930184805,23.277555137388937,22.206429860539693,21.08622674416344,21.35707041482011,23.131570095580518,24.40092191064655,30.58369167043744,29.2718606909165,27.528397091324106,31.711855780971156,32.92021365986422,35.116289240034796,36.4988343437861,39.91075451177011,37.71586699388887,35.933652115433645,40.50950942747965,40.32400279288295,40.230612236416285,40.38383016397238,35.13004366192707,38.46415218069992,40.81915914576164,37.035365204267585,34.81006234858904,39.348060351518114,40.26404234599746,35.27333668976277,35.164991510164235,32.25333232342402,34.101611581552326,33.04566110787703,29.167934151162118,25.68487341027729,21.909493826282684,19.65210624983191,15.99533011018384,16.185424459847564,18.270747303724548,19.008386679560708,23.151112662204447,21.84635567719217,27.928302567025447,27.6714396649395,29.835401835017336,29.73439301864138,31.96221209888893,30.493910898704723,31.72012585984927,29.675408053665407,31.76270447066104,29.4122373551413,26.363571192680887,26.995822977885137,26.543716518272046,25.352550066461834,26.859005071730664,23.93887939544683,26.115450716253743,22.311703959897326,20.151222418909196,15.549422300105165,15.229009124150002,10.922818595657905,14.84338856593833,13.513628862926913,17.084804205003415,18.346011999821044,20.484399193297968,21.687937454065523,22.88839545181918,27.448865177104686,24.79355846244127,28.94801455105211,29.922359044778773,27.47646350893969,25.229368906889093,21.471562062508575,19.150243343357438,14.572832155485457,15.173875121701638,11.598646501963994,13.636597874755143,14.540784231238694,17.397269281587974,18.686321545024203,14.77268850648432,12.866317061569925,10.02095634543163,12.40775781296318,11.471375504853128,11.105461060954958,16.1208685774068,17.579568913046423,20.214822552555155,23.752935943755197,26.087927977243506,28.923770680918548,32.45728224842598,32.427164482347365,30.85237951555073,28.38539942567242,23.988862463560945,25.850758617186756,22.41736645237545,20.44096137180968,20.50887697947295,22.53897181296509,25.300629953435884,22.05067871906564,20.42857423642363,22.280725386355797,18.941476757180276,17.16367671185631,15.366256183600319,16.402317379831796,13.23051290314219,16.573074365832753,14.027658203606643,18.866848014931016,18.250492131327135,16.288645908887418,16.915718676702358,14.376877020565804,17.600555327727648,16.45985046323831,19.935577432455265,20.734047433792597,20.88247618077445,21.882280511955113,25.312847187098193,28.2079228427448,27.980537829338655,31.102132582615177,34.05870900641226,32.72139644416017,28.773979997133367,28.31138502663449,24.805513833999704,26.31341825629592,25.950079602440024,25.10339677174493,25.296935496715943,21.80419336945433,27.161599161232076,27.77686951933525,29.73648134053823,29.695526329669857,27.116278721793325,32.475375625428285,35.355305536941486,32.605696943332404,33.82675199071822,31.510974816712498,36.625630735506036,35.546547756704186,38.18025260576108,38.59628836141432,35.7777883926719,36.63226229662796,35.24791507519742,36.276606394608386,37.853480550684374,33.90929327583322,35.36064827028136,34.22412339119287,31.405741289098323,35.02376143184103,32.05357536308892,28.79985679281885,32.2929291672267,34.122685022415645,29.631688104433124,29.5137525298068,33.51507553567245,33.1921127460682,28.78756928725795,31.48360234016869,33.83023954963949,29.984199464929382,29.3032945756329,34.12220899151706,34.55545137556951,38.28143833593993,40.06905747899372,38.62159935750443,41.130967394395036,45.33398204451785,48.59706035596143,49.85949442250012,48.69609016727324,46.62004022528901,47.687763736203145,43.94996109050353,48.21367179728873,48.79421743810574,42.71798623516158,43.96282443797249,48.39997863846267,45.477362951785466,42.268582142624474,44.686679905957135,46.8846773261794,43.352221499637636,39.98426608213682,37.70984721668522,36.87606912033388,39.81593079694232,39.08794584646784,39.045474181959136,41.23999775804348,37.110141252172966,35.2287433334928,37.836957878608935,36.26151118522827,31.7162784744478,33.32727616126424,34.443011303129055,31.78462674991088,31.089939953866736,36.1056768416297,35.484165398473344,31.773074710171585,35.277190897554426,39.027036988504506,38.84106918055142,40.646769717860636,38.77654770371441,42.971456375562205,43.07766393183151,37.947862273685836,40.621678255137375,43.62513849431235,41.235230764193666,39.12953989851576,45.03450656762424,45.536216020331956,40.593469125023375,41.76979562142506,47.08816157622048,46.46439242093278,42.823435361315106,38.63030378439605,43.28023509754114,40.001215526874795,40.67593799112748,35.34598024357275,33.563433067060444,28.954039849345317,30.33696558000387,31.219339496179472,34.51175159517938,33.22676978940824,33.515333043289495,27.999937298387177,28.830329021024745,23.7407746417536,23.974554866025983,24.85594868484413,27.26140899724629,24.530510110461172,21.445914521233124,24.62329698832824,24.31163047422308,18.698640165182397,20.476963256588984,24.312180550859704,22.58502706876702,20.496451595101163,19.709360023748072,20.23600400200792],[27.37348886426547,26.42446841563323,26.29094855401101,22.116964125786758,22.619499581387135,18.803492713326907,16.120246152311164,16.8279991709741,12.197669725721434,9.611478810975397,8.405084384471635,12.29808996586439,12.336993234204042,7.739942637517311,10.774988257166845,13.88775849493799,13.541652746819318,16.27488790896796,18.769615300451402,22.201554202960825,24.95381660674447,29.480857619551674,29.999051017558454,30.37493935608727,28.22033005113846,23.75250324583516,22.65145313445095,18.732667020289156,18.280084351527826,18.268530890057615,17.747122179897897,19.707114591487606,21.88037332165006,24.718042902337274,23.875746227260816,22.26895753433939,23.369650246090828,24.296322565083656,25.549258562293158,31.889056336322025,29.81187207870385,27.804297976906795,32.12740996093053,33.17530034000951,34.88661681171183,36.18381396298828,39.64485341052574,37.86226338278427,36.215431407284306,40.94231334807704,40.994840127154596,41.27554635332492,41.460246584737995,36.201853795659275,39.76157067872597,41.63520534338564,37.58690458405153,35.662462157544304,40.07183674082475,40.52832313971761,35.36093734434857,35.185857226529436,32.43860706960458,33.5946422352152,32.64684508587577,29.185176048866147,24.956459756668963,21.60574490127177,18.459060479040875,15.032443555478935,14.396244461724683,15.862752105043677,17.54804752421936,21.763153272201833,21.4191371443979,27.596632640127364,27.816153209648615,30.352212915786193,30.552277580781432,32.82705906304218,31.99652854702536,33.301012453792765,31.90158550373727,33.90732317903696,31.256757506429427,28.227891439584592,28.244036817932766,28.31530785759458,26.26987572888889,28.021723902641934,24.5731593046176,26.293909000716337,22.69822145588483,21.163872947970777,16.851162276519236,16.210128981322924,12.246883185728233,17.274110601525525,16.738387359452105,20.856928958536017,21.640139892958185,24.35597569765953,24.981367970754853,26.580534905405948,30.78983949152704,28.289437810537564,32.5633224022185,33.30865672021706,30.92555481728324,28.930049023633707,25.0685650178172,22.41447811551341,17.924399316019752,17.66634504925531,13.606986763647088,14.600828157640779,14.899075652225738,16.9941345114854,17.523586539227004,14.258148688910888,11.831735998172023,9.85093350458982,12.087757505055166,12.367210457721999,13.180771772706247,18.154339330210426,20.622379566614057,23.032709113395402,26.758188825385005,29.133402090914682,31.690518452035132,35.40828972988979,34.96971274223924,33.704509710609045,30.760374942159398,26.30374010551028,27.920420347134804,24.02476499962224,21.42310975442682,21.45693497295708,22.385597920522486,25.01126325818091,21.928331244773343,20.95513483052311,22.99160442205378,20.22470239393871,18.635089995865652,17.73361824699487,19.42680233693695,16.832952885558026,20.565886972963263,18.34161387674535,23.192733117466656,22.522146749430522,20.439176978561758,21.03353307019417,18.30207320414609,21.536582153647487,19.820587985539124,23.32719079140592,23.31338744247556,22.960385730817325,23.350177702936236,26.873550340036456,29.60789195014023,28.942623244852893,32.53387834690152,35.13998591446073,34.07614911594632,29.965313609477644,29.95059329646404,26.39286862093088,28.23636002834751,28.182789578282694,27.50515511327058,28.163083154939716,24.54054342162128,30.02657527513522,30.194523461679832,32.42977400962144,31.96446278298147,29.97577078704707,35.059196794824295,37.6891817412613,34.695445318411565,35.516909201649554,32.85985658359969,37.84424160202245,36.197581916642626,39.282199364730175,39.803864234207055,37.30913622891154,38.365765241598666,37.2376424517053,38.542386160524494,40.29230843200496,36.41555855607175,38.207427647669334,37.13395719324463,34.65167539742308,38.389491929455126,35.688400372379846,32.24266184742908,35.480358666737075,37.60096421431192,33.14603605122399,32.454787681221006,36.66650685568568,36.73667007275471,31.979554323865468,34.42444926110883,36.96884291107182,33.202746957706,32.03450482657837,36.804621809675616,37.17477738631932,41.18253425431785,42.60366498167076,41.503252523816826,44.20817445152624,48.49267778454903,51.826009040265454,53.15617544368353,52.24013786246038,50.170316465100335,51.36015462876165,47.67746577317084,51.84619274559067,52.27393837433016,46.106960030412274,47.4250084457924,51.675368263705025,48.58235284063816,45.390092979693726,47.75765269075029,49.69829395001605,46.08702617358764,42.71000281188841,40.68179836840631,40.182370885553006,43.26498180771202,42.747170199610736,42.90067033600381,45.26787768288354,41.17292761755343,39.09910219384079,41.81545273963558,40.41638112881221,35.78879993300325,37.220837477350585,38.477236988821105,35.838334175795644,34.90501070529188,39.94300735269728,39.3714606216934,35.48942569373914,38.83951375717063,42.67334844417184,42.398740429547594,44.36767417462773,42.55529892413486,46.697132826378464,46.62756851154795,41.37363111241702,44.12048435364988,46.9481550897753,44.4122526873329,42.25539864064651,48.193075910471286,48.44054344501396,43.3472867626859,44.579973967700425,49.882630585927444,49.01282730204963,45.24205032480452,40.921304057981686,45.31846717612203,41.81383846361668,42.809774640758306,37.37484950533806,36.041610177280496,31.443964341911173,32.265863846883484,33.26067740209335,36.43043764899734,35.335147062261456,36.12456802691839,30.689858924834226,31.790818819743926,26.64888206245341,27.218467763256818,28.609452110102357,31.151435788616126,28.63603668164439,25.232394476623917,28.287825094349383,28.265767332353526,22.66783242003524,23.881866607207325,27.866062497306395,26.368102639286235,24.24728263373476,23.558758110522763,24.15566475354537],[22.251325580362828,21.772917176608974,22.356381481141916,18.623645403342657,20.27614131095473,15.409367562967207,13.855297184063074,14.70390694115483,9.946880230999898,9.872814395794666,9.394431196907096,12.383162796220947,14.178636060321308,10.791638879494698,14.321962673668043,17.07002884096471,17.321762987522096,20.871679748385585,23.9220853225817,26.935570295920098,30.067215283977585,34.42205933224419,35.19326646902361,35.48678544690139,33.01999889920318,28.614676841236673,26.986971248915808,22.836813633473348,22.226843177317534,21.40439725223673,21.716844280869633,22.36908613214223,24.562706892092375,28.144707345838533,27.248803083751326,26.167233817919286,26.387949134531297,28.049512125113417,29.109537558758003,35.32041963031007,33.71527576200761,32.208172339766776,36.48799344102322,37.462892076512745,39.483351226923595,40.61558210164624,44.145755616198294,42.20610628500653,40.19683020028275,44.77631526058434,44.89160516234706,44.81923942231509,45.14527606477307,39.87400928878462,43.411690211406096,45.73124000531543,41.877273597146676,39.8103343200765,44.363658727793364,45.124064154787284,40.11546983305321,40.05198147072822,37.17892970549538,38.79451413417932,37.76328496976382,34.02722601997753,30.25198842631034,26.65068451988343,23.951212684025748,20.367738848326248,20.08060577848576,21.61425085850812,23.000304951046598,27.3099974535425,26.448701998521564,32.51328710109498,32.55394661254809,34.728407423488214,34.76850054372919,37.024987211827856,35.574639259925604,36.704237592933005,34.570340402765474,36.505509599655824,34.071758363349346,31.23944815220614,31.995796668938414,31.60701700123741,30.414160922810655,31.851086204602012,28.834065702161688,30.72138782631907,26.867140198944877,24.706849150128992,20.250115916805463,19.393454023278387,15.284679622563097,19.35201193371768,17.815043383925172,20.541440638656958,22.776650846763722,24.31852066643759,26.153242733253055,26.72388266125556,31.32866801102138,28.151618068197035,32.00755719461111,32.66780302656656,29.677783676148593,27.769065747567215,23.58887175661461,22.08121468308047,17.33457092870518,18.269216515578037,15.452070320438844,17.01507852933647,18.544076055976358,20.749156557249044,22.453156667956346,19.086864125616497,16.618583893224763,13.84997543036419,15.00940950838884,13.998464361020343,13.14920884924301,18.301111462674786,19.13088881001056,22.45110531381144,25.95767424778597,28.993290676591332,31.185738541629142,35.01027894018233,35.26215217346457,34.12533407382532,31.332241594441783,26.86143036065494,27.79374509681189,24.70834492193327,22.663372882477244,23.505857181741806,25.22948066321267,28.575024948024456,25.757774295246808,24.16002423957273,26.44430735797835,23.44342573186408,21.338425401906616,19.705882853465088,20.353363541740073,16.80384441712286,19.5521585101926,16.65042559797786,21.3988779968124,19.722257157103144,18.752274991326782,20.207659805711977,18.273890368296247,21.260828558164587,20.860533352694834,23.7745357608195,24.640681258356118,25.394150742745342,25.80836272623904,29.60561459195656,31.979249085441033,31.086907736782088,34.238668231295584,36.86526666286105,35.14054896633192,31.216927102038618,31.014377691650978,27.835337712918616,29.96521877832385,29.956929729595974,29.451775062125062,29.666874786006712,26.463102178488562,31.79015336991113,32.41038070831021,34.15952963982897,33.89158950727702,30.942889941776503,36.2313219840175,39.08885095657569,36.33864189754981,37.985901165906036,35.87365341504633,40.831311918042815,39.48321604001748,42.04905656289289,42.17121884796127,39.37941770066534,39.82045889132068,38.19431031986914,39.055551919068876,40.272222241052994,35.997436352320186,37.30173402819698,35.61887625924023,33.01503005806662,36.17529218779275,33.258197630617715,29.933910331281233,32.846759722160954,34.5619654140065,29.88531030836867,29.314453720423764,33.20658180236409,32.886657967119405,27.98435542967202,30.374305394170122,32.619254385472665,28.617914255520716,27.50916984749644,32.2321973227518,32.99345624446788,36.73015464503985,38.868268619440656,37.78479912662977,40.221539508781255,44.7942944278753,47.80002802730249,49.538970187543875,48.73303362929241,47.01677470541619,48.46172361193478,45.0733152593526,49.48762713185088,49.65650593017044,43.61473916479281,45.34509874621104,49.655335730651025,46.437758011446256,43.53669148539327,46.3290287023668,48.038244155322715,44.25692556166184,41.56424415572785,38.86545690285701,38.73874336880246,41.57346003245078,40.45727610013716,40.764271698379694,42.70663994428942,38.92647134716126,36.78847405355523,38.820610210994516,37.44941285086092,32.945319640948426,33.94939811811958,34.78511300234632,31.98436347884459,30.96252001916574,35.87524072745197,35.00695565106318,30.890087708106417,34.35073516052347,38.20588654747172,38.20142718759168,40.47573783743663,39.08668661962216,43.34881953464024,42.87247619744737,37.80347309611604,41.01971326404009,43.64497878265278,40.98512165310854,39.37575416112559,45.372287764787416,45.33880597455751,40.42204733069969,42.17090118485196,47.293290716569764,46.224632928951195,42.55996633672041,38.11596422861798,42.58968593231779,38.98323708930056,39.41958246950741,34.025817596288505,32.64194305115265,27.79662756095282,28.97006190888724,30.40062692123722,33.877759952031745,33.144977679514895,33.67790470347808,28.487536800457477,30.025272722796643,24.983090459894537,24.48616997600374,26.078489660918095,28.11383677112601,25.76718271812659,22.28488632369151,24.550921367884175,24.29628476228566,19.135794522613654,19.655404133630654,23.259326409746137,21.66560231482471,19.426471543766795,18.957443160155115,19.90189059643736],[22.413997638134603,21.7556128246944,21.704431288940285,18.898698488309527,19.4753861551663,14.022506418779766,11.946091850539819,11.325582656381814,6.460633417842543,7.152137750173653,5.93058174066882,7.814153032929953,10.852943299386984,8.900706686173722,11.707296575753666,13.992220758549154,15.236914717731043,19.08380973973914,23.044787041661994,25.337006333667176,28.9091261295395,32.99142904732921,34.2579417635302,34.91509686572879,32.054730708635105,27.852140605766454,25.655136711575167,21.43123514141188,20.043098777045863,18.34667603420287,18.951543031882615,18.624616835722524,20.754680134525778,24.75343330632198,23.84920230638456,23.333631455938615,23.010511609505993,25.568913385317728,26.869474567475766,32.83753863639632,32.08332573613305,30.505730166148542,34.545239285910554,35.87222496870619,38.32026490667482,39.72838557559674,43.09869074561623,40.69365177544098,38.833855289498594,43.276355476897905,42.95189031016798,42.592152411716,42.71290653615262,37.50970306386549,40.58639835762314,43.28685369059471,39.72340860663628,37.23692254569962,41.78904670288459,43.06882794060687,38.190046193098155,37.979790551325365,34.895412733071225,37.13627802189408,36.17405159868239,32.1049950571622,28.989943443627165,24.99642722587043,23.181417209941102,19.32701598443245,19.84626423163704,21.835608855208733,22.234052968101633,26.4830514654704,24.720428523352368,30.548593723334807,30.29966952638787,32.03121184651134,31.93801812331195,34.26721114814723,32.370477713726586,33.65640446391788,31.042461845535268,33.25087971331345,31.235019642477564,28.183358205024316,29.257255890639453,28.25090566043541,27.702661800072132,28.689811982499794,26.1296468693644,28.28076627797689,24.302468930491504,21.662045828833936,17.155128989956637,16.537301263812257,12.413462975452116,15.396513466577936,13.375901351257607,15.685467720238492,18.27551788880533,19.669677453930195,21.906848353144188,22.546542437016384,27.580284634351134,24.635143098464514,28.46516803757083,29.617099035561218,26.875099150974744,24.46489554758518,20.702168231300973,19.250464014829095,14.632255844320483,16.3418662688407,13.6946539112608,16.25802004672529,17.688152704531607,20.726474270332975,22.4163796453875,18.346842592891225,16.639932159490357,13.570536294171516,15.567140842242916,13.910718818438244,12.398997968684453,17.288511175221785,17.30425380276919,20.497024221399606,23.742877784427506,26.30606896152527,29.13839626136428,32.56253566276515,33.083876472475666,31.363286285912828,29.300957181384778,25.000734147603097,26.662774310000287,23.86146547402951,22.404215307832985,22.803571294271915,25.4363608983418,28.436387277091363,25.24160945629903,23.25554122480142,25.047083064804394,21.43285299793336,19.51503508849747,17.049627088308103,17.245560341284044,13.345841005197986,15.672664960019702,12.240277332263004,16.787337250487752,15.211426771098989,13.89318062428179,15.365852167777707,13.696328725131234,16.91167079679289,16.85583162458149,20.155784221882406,21.9132002499845,22.6627011870562,24.047903708626144,27.416388652604645,30.277312566068414,30.186599874628822,32.90894164167802,36.00266438574399,34.302000397411895,30.538201132211988,29.810733202736373,26.52587574064869,27.931932192891328,27.386610467049866,26.452117361725655,26.12640854502627,22.845493984422827,27.89501118577292,29.061944462315665,30.690037334060982,31.076003601405738,27.838697017948572,33.40330745825449,36.49892140401739,34.01123333030581,35.679477027366595,33.70550813047234,38.84494106834164,38.14740754585104,40.41095919150352,40.6616916862267,37.605748532555275,38.1475289278984,36.456868142377026,37.151434116765586,38.397920050231235,34.27036442240579,35.28293497766744,33.81498837831103,30.732345852386178,33.936678496102,30.651647109871355,27.637669828836177,31.103780734052435,32.475919708988755,27.83093504491939,28.1855111182992,31.829563243825532,30.956430998468036,26.72040872979728,29.532181714873822,31.522425878386755,27.436558383502902,27.129338673434813,31.91862306339487,32.67957260390006,36.03519234404446,38.528315198618195,36.91215429887511,39.11459427395359,43.457010770013675,46.441105322808255,47.939839081804536,46.67762468811008,44.82191980542493,45.94512591640335,42.33583134115994,46.803415283523535,47.358113542101265,41.431704210342396,42.8422791941052,47.4312974232617,44.56319623318236,41.50907974779391,44.16445510052681,46.395951628864225,42.83323657382616,39.83487902583042,37.085067052975475,36.22056065668072,38.91772589285092,37.716209720887974,37.576352472030045,39.363285468943815,35.36281290145721,33.664726958956884,35.7679790897862,33.99978518241451,29.63963763470578,31.176112961381435,31.84275630071962,29.026030325440903,28.540328651388837,33.44118377586929,32.50998368051428,28.766072461379807,32.530732967044216,36.22602175676899,36.33401705983225,38.228115988934924,36.60043265182613,40.91622378462566,40.89456451343521,35.98934372243586,38.90478570218274,41.900762916610034,39.53271232285958,37.80538797697059,43.707462098421175,44.19081360567166,39.4541963916949,40.897641084093486,46.104034922161,45.494972145705695,41.99351977744238,37.80453711397626,42.59243555255245,39.359843266517736,39.54690002271147,34.314531141883364,32.30128669314155,27.550734013383877,29.416112764574045,30.517203110116757,34.024509748675115,32.87707589239068,32.7708785851687,27.392664337271494,28.29885554568209,23.35176375852917,22.74397210444331,23.328977500857427,25.276253669393235,22.40678984227151,19.645002301699275,22.37576688672159,21.559929803540108,16.263802759474583,18.08726234729448,21.447015089655014,19.300383679689876,17.022861537165557,16.122498532351084,16.691799030709067],[25.701984571132375,25.589863969366288,26.184425890765414,23.275043670692675,24.467346563857156,18.914907962506017,17.13432114295514,16.419456323440173,11.638541604593206,11.745382154288176,9.389790130488763,10.88016187163892,14.39147995367414,11.721135393732935,13.144528611613737,16.073394562675436,17.843432903729664,20.807787132682606,24.53310681290468,27.235105530867262,30.423346222697138,34.743123573527576,35.77257999616408,36.67441435312645,34.221652089464754,29.932078873582885,28.27629834211645,24.22027027687318,22.600510251109018,21.088552277215523,19.96522891249989,20.63506891077059,21.816609889930717,25.540514826261514,25.492585772134667,25.213538493790566,25.652458226854364,28.321352021810217,30.03617051747891,36.082175194363785,35.17551851181714,32.96740844630121,36.97907540180118,38.580250251495634,40.76038047482355,42.39156112960225,45.67542347384415,43.376134642425384,41.92856300530086,46.503989391466405,46.01709976081494,45.906662722763286,45.78063564562964,40.59890499648474,43.365077954184834,45.80597560141514,42.16195743425614,39.464520144095225,43.78237641624221,45.09378932745699,39.9661061892792,39.18624480348936,35.89742732337851,37.79215833873309,37.36666218375682,33.54442911012029,29.848339101174833,25.89973610912248,23.729051788640028,19.527815528967412,19.854664462629277,20.914868931566392,21.554329949443296,26.218856870114315,24.825128409018358,30.375412478082627,31.053796200611725,32.56805231211044,33.16747755105815,35.97921600665796,34.579566461063735,36.458713292658416,34.150734646376,36.762395592157816,34.84521234673709,31.394389572229038,31.83103331324155,30.60685847601149,29.428781986286264,29.731513624171996,26.73016294560183,28.012345106073326,23.970338117565024,21.524787416900935,17.519582283520517,15.79352550363425,12.273401783294428,16.375952066595477,15.291569625269439,17.770831928780225,20.80213881446641,23.156554753349106,25.346901509305827,26.745750636971533,32.01371517901489,29.42679264799705,33.30909116495254,34.671882779940724,32.0352150069185,29.485345220617333,25.865654398801905,24.312886520973425,19.74508180671883,21.172276040628162,17.91008695211269,20.1563785924515,20.85247981322249,23.73299503783647,24.34716929465874,20.31671799403796,18.646185742775632,16.242031947286453,18.75910613660734,17.894354806924238,17.088740764449604,22.12855727007496,22.513250386232794,25.65540453484783,28.943042287742674,31.36792539510239,34.31626335225516,37.70804312195749,38.12054752070637,36.282377220838924,34.25736644952226,29.93682251148089,31.679332282029605,28.610754810463018,26.796714409259515,27.0059120769673,29.002985105579356,31.699904307696624,28.36064528521196,26.856422569357573,28.500253832925818,24.915885563951953,23.385079789847996,21.168176673348526,21.804003243301633,18.123370844890847,20.46193328798502,16.62335160947176,20.58604021865624,18.054942869140636,16.42517659045729,18.585595361795523,17.346393264298058,21.083775181581355,20.704660118688434,24.702839660118954,26.452790402344963,26.538631090743166,28.154623823977378,31.3205946643708,34.49735742491577,34.46136811354228,37.456036696747425,40.48870591178891,39.01078503743498,35.12669671738135,34.56211393790616,31.131888553552848,32.44653343619194,31.78729422875249,30.58745034357761,30.20800196771128,26.50499775914163,31.42292180997739,32.7983993732222,34.70616361922592,35.33618504650439,32.45347065377868,38.04725741660875,41.12005387946767,38.564918601818064,39.79300688463618,37.459933254135855,42.68438745487205,41.83639602114461,44.45180575396925,44.93715058900876,42.019423112593,42.83990707675819,41.32181936305509,42.15015182702118,43.51622754633928,39.437229180852334,40.50420024587264,39.03732986830862,35.945046602391756,39.07745718926237,35.7052811381773,32.775451107864114,36.176735508534456,37.41211397556705,32.70389775741017,33.06346112860527,36.60255148292763,35.51355413411708,31.228617919892102,33.942019384780494,35.74623325696263,31.484005001482256,31.120107870856437,35.825877865201015,36.8711866451669,40.107517374774545,42.959896830887075,41.484235909330536,43.56250247036734,48.07562496517215,50.84675618443837,52.591506176370785,51.35659504420474,49.65634484260888,50.814681462015685,47.260007774393586,51.80097582275533,52.3633827680751,46.49939009388594,47.95034511737138,52.579062698673006,49.71362252621289,46.70115563334415,49.378560939824126,51.595234128797344,48.001510157142455,45.05747835884671,42.28453815766944,41.40839196389317,44.05875222132788,42.74290996995935,42.48117433950481,44.0464020248777,40.039446362599996,38.57244149484936,40.440269672462314,38.448665633649554,34.2902325672238,35.85944735726455,36.15329823809792,33.20460362821122,32.92723073710053,37.68211760440755,36.40816177187699,32.59367974203695,36.57202576097081,40.22584607752162,40.6174546986079,42.65348251742736,41.24174214873499,45.62051693925907,45.460643240650114,40.696873892742104,43.79087434499791,46.72043216495647,44.30111612587982,42.788234678096366,48.699962936950634,49.04988681925528,44.34861937904192,45.964854588812905,51.11514639433131,50.36976952577713,46.85732688377177,42.56520864075628,47.253502270906985,43.84367881861899,43.95899778695697,38.685819207638325,36.893757471456205,32.02572170130507,33.74318304234394,35.1134236919239,38.67490266761427,37.740595954529084,37.773370212303,32.47430076558672,33.50546982209348,28.55471543516599,27.818467235809127,28.368009746334547,30.098411377251455,27.09159922696644,24.61284472721134,27.028664073702377,25.854506205365414,20.91665474512693,22.51404397535045,25.44512021338608,22.911277433865763,20.317973409849042,19.119548245257185,19.455343052687404],[24.771139146780015,24.93952266559741,26.08822695473279,22.883762180195717,24.894946393133406,19.427890282523077,18.185726356578826,18.18423940372648,13.395468356002999,13.757059608565642,12.05134374895607,14.00118253684585,17.120526185197576,13.96995194697127,16.03758162958204,19.074435355995664,20.31235496387093,23.297467837933738,26.569046935768757,29.614790768767417,32.61445919536235,37.05831675250403,37.83673540708686,38.49704719638537,36.21982490853019,31.82455208550117,30.396864800175127,26.336879151669883,25.155278399454524,23.991037454140766,22.99549106521765,23.9127100011528,25.208665283099045,28.822421975526005,28.71556837045466,28.184885479341368,28.722985026115563,31.002913722599207,32.521141176226244,38.683879249035954,37.376814974975645,35.32487297550378,39.47244653808826,40.84280687242521,42.83266833604737,44.26212613277901,47.65618287651851,45.603756786568574,43.98720858951152,48.612496177018265,48.402285121231614,48.38388286672296,48.41453678365202,43.18805063431615,46.23153327041291,48.545428659123374,44.76817913599163,42.29912680001672,46.651239583967794,47.70974810434765,42.542198918050666,41.886608223211596,38.71304831600214,40.31541928445162,39.82222887604778,36.14938053241988,32.155204423183704,28.413964370493595,25.789885539908155,21.772021713496034,21.644423721260754,22.429130683964857,23.659181067549547,28.337154099869064,27.421676526206433,33.07640480592864,33.87112223735009,35.58931226397207,36.21195179770523,38.95374093112872,37.678170006232406,39.40363000917158,37.21024951182155,39.631462325640854,37.512400408370375,34.24400682097085,34.67331972446748,33.73285569676097,32.3737103125271,32.9187698993465,29.758704666165023,30.936112677689604,26.95957736839149,24.71100379675621,20.730098998807307,18.94083215726237,15.452537463478224,19.80545392670276,18.694548301062678,21.033284169574145,24.14643114538498,26.223180238424867,28.471328953807966,29.547285839968705,34.665446259347455,31.774793835705353,35.57753618308346,36.645049677855944,33.725260736424154,31.468157802763574,27.54496195131013,26.23139940279608,21.537338655461234,22.835225178538323,19.755933044992698,21.587201501568444,22.566076058445514,24.9939412706765,25.828187288577464,22.20585783503657,20.085742860733212,17.728245399303603,19.60460192762581,18.87135584129089,18.09405207809006,23.235636998257633,23.662259156990036,27.061720326612875,30.42787343855514,33.25795812954712,35.77278468572549,39.406148581723,39.83052850564297,38.34717772310951,35.95160984534481,31.53908285022817,32.736870860486704,29.704128312861766,27.701401482728237,28.305427720263435,29.947927164977454,32.96678722493454,29.901504569516636,28.495982656185628,30.467926281495302,27.186075567914735,25.43579473465162,23.51977245235169,24.16146071375678,20.43425475983853,22.775364164730128,19.06226240025254,23.163601094862784,20.367037655438097,19.287232345742307,21.592017608193817,20.35661685944326,23.869843517296776,23.62473781608984,27.240900545432083,28.698842899983802,29.04569311877039,30.11498174975215,33.58534996192638,36.40430799953466,35.870329178042475,39.008418845905254,41.77829207572793,40.1473624491238,36.22456150777838,35.91032778301755,32.625519680164125,34.39989690847884,34.053007751755075,33.139466964266674,32.97240736200943,29.420836171307204,34.477079520719464,35.627483905662196,37.48892825734073,37.781118592728255,34.83598639605151,40.32587873432951,43.31718625321047,40.666827995359256,42.07047679418871,39.77860362157534,44.89255386307708,43.729570587813235,46.408940867484304,46.73241942096738,43.90202261321551,44.52839696735624,42.93596406869268,43.756405090830086,44.981189822954704,40.73166929890668,41.842682624873135,40.11252329158428,37.25596389129174,40.214889437158654,36.99181900796728,33.931233620844665,36.94410863324111,38.25344555011225,33.481650657713175,33.382120435438445,36.94788440706362,36.04893004014156,31.386700403323548,33.84103866583882,35.6794609734279,31.41054072355662,30.63990044979258,35.254854699653045,36.42000816041015,39.76365738470877,42.62254778351537,41.45763215446803,43.5785647226274,48.291949099988635,50.96981516156413,52.96920960460895,52.02516608287021,50.504395588914775,51.911716879562746,48.562927897534436,53.1355051635225,53.41169460934325,47.52319689036625,49.25866490603494,53.74224948862879,50.65101378139341,47.80295375003484,50.66119907753368,52.5224744494001,48.76939287626481,46.17135488015334,43.265719196785014,42.89055115392805,45.554194138058165,44.133392151131794,44.16027215520431,45.70099565211047,41.90002411164621,40.170976489926744,41.81753282688072,40.05435076836918,35.84996627562012,37.012179702064365,37.279023749121116,34.296042413230005,33.70620362291965,38.418128927825386,37.08847448257109,33.00939239134984,36.847782699087276,40.5841796685775,40.99879141598777,43.33080305407316,42.174879853094865,46.551741994343935,46.024070327465715,41.23457958707701,44.617732719748325,47.27998502602042,44.66985069417962,43.37709486840358,49.34331666242251,49.32546972055514,44.58592131387117,46.50446618734171,51.546875603407905,50.48943084774503,46.92487080394968,42.474866476842564,46.982662021286906,43.347758378221585,43.45042237312321,38.13140221830251,36.68972188979409,31.737957719011256,33.16013411459372,34.8195956040835,38.41766684156629,37.8136786878605,38.130734182812766,33.02182313490833,34.49144464983764,29.534053054524946,28.594388060480032,29.71443663797343,31.357045818454413,28.676535052848052,25.802719516114756,27.758208304030425,26.81003454299597,22.07867759212003,22.826842044997612,25.731739774033716,23.4568833630501,20.8559409403259,19.93695859135741,20.576050435666517],[20.41588089341565,20.81779977193154,22.22637630740435,19.72524703327518,22.123491910769218,16.1027575559642,15.696528024595086,15.592797270090704,11.350762220755705,13.389010074376456,12.487952088067036,13.678569400441368,17.407434556398183,15.235122848450278,17.840863301455855,20.359311132639746,21.69766829472828,25.34828091499524,29.030207471801614,31.649021117492484,35.0299782157606,39.26110110720003,40.32527928487138,40.89020276744719,38.24075311328643,33.93201708425018,31.981404999190072,27.76642857491016,26.54638683734139,24.880930786488545,24.967007986645015,24.757887028995828,26.36058135852352,30.45842138699807,29.99892134080663,29.712713738698017,29.457081640507695,32.132292749596445,33.40750896302917,39.389735048875494,38.499120119457615,36.946708588035335,41.04066133967119,42.304764229830916,44.61170180573436,45.902999482554016,49.34159769612266,47.103420607110095,45.16085285650491,49.62035279213189,49.44663063290747,49.098071559074526,49.27297578268164,44.06676299845173,47.139834425683055,49.84233674174873,46.25271178195951,43.74554483614702,48.2508517895508,49.528384963038846,44.57224125712919,44.18924090320072,41.01387526931632,43.0754066481924,42.32398210220439,38.37309452103099,34.92073288244956,30.997458280704176,28.809369255536705,24.833039374308193,25.005165491493443,26.318255335606477,27.20501251906788,31.747238224651774,30.329702879471206,36.01240986515404,36.290269708086754,37.85022990367542,38.08923210342013,40.62401997177307,38.77636518557945,40.185965585405,37.435849795088096,39.67571631543979,37.71883311263642,34.717054093760645,35.80583896980562,34.64238895290919,34.05697089873355,34.65030652586353,31.968753171617497,33.61307751915969,29.54439258525643,26.86866086578445,22.690540856932,21.29180327748858,17.612600581168923,20.81040057044564,18.843147406346485,20.045609223269327,23.87309072793963,24.81525151503734,27.809818846263433,27.986517463633227,33.197278661909415,29.87343772113326,33.2862685260741,34.28040061591698,31.03260755410729,28.863389323182652,24.880577422926425,24.409793145209896,19.807971587675077,21.88903998505573,19.787794466411864,21.990182797374246,23.736657559348323,26.323114353852166,28.08826960641092,24.335782376257,22.23378943778996,19.313640538539406,20.628827327982336,19.051336132854384,17.254510038239943,22.116925534594547,21.314219535038497,25.138596999176052,28.199680261135587,31.343547922332615,33.62471238649007,37.20463564056434,38.12903755392548,36.7061826462492,34.53530168137233,30.24071272722319,31.077773895076636,28.715819031953675,27.258066403935203,28.27943798135368,30.63200891539611,34.05480544618962,31.143819632533543,29.230396870317154,31.305075058954472,27.880113325913836,25.794857315983283,23.415988083554684,23.293962388106912,19.126947226910456,20.62644490807385,16.708257263848076,20.560301690298903,17.309109526156135,17.255907308130585,19.910678373596205,19.22307788665463,22.25559736933212,22.967533732558614,25.915180342526718,27.94036524801535,29.0991638154713,30.182169137255222,33.76657264814229,36.299389346227855,35.73190249534494,38.435544026287445,41.273834488230186,39.20736681546021,35.50876894738936,34.96397080891723,31.9853093150973,33.82786753543036,33.486271729370955,32.72677748839826,32.26444323886831,29.1681423093652,34.034295406321775,35.41910670296544,36.8576911552814,37.25747644387704,33.64918635264013,39.19021730287182,42.31699301534738,39.9016607680667,41.91977741751603,40.09893889943569,45.15265736903015,44.301812166461225,46.50784219484042,46.53634831851859,43.471202212589745,43.65151727676298,41.71400822771793,42.18623358678477,43.029746155476815,38.59750270168152,39.31486217826101,37.24573188368617,34.28472316717876,36.81887797835812,33.463848443128626,30.586302263254765,33.419188054880586,34.3886188504142,29.565468542130425,29.73386137248763,32.97663555592132,31.746960802057917,27.201704736903945,29.684912281063195,31.260371906110308,26.888164850137663,26.377678479521375,30.930335196494497,32.30214616014255,35.35389937376126,38.688724043244754,37.39490320613205,39.28480745659412,44.069703281172,46.55085037066805,48.70649580315287,47.75206115315467,46.42102686443715,47.92694031937758,44.761305918010706,49.44754599414773,49.60808260324743,43.86531991858214,45.79820063905775,50.31501397132996,47.22941951722575,44.56985841224979,47.652530455117486,49.43668284652349,45.655754911662136,43.472083676275794,40.15764820065253,39.91927569599589,42.368315198643835,40.57323559009878,40.66921302497306,41.93115228649586,38.3699908193336,36.62570141775129,37.83384935987309,36.111492245315404,32.03438297544802,32.94007915454361,32.95422766179289,29.91876509855445,29.315912331119744,33.90578571000091,32.439496127147976,28.306527268773742,32.20197104174904,35.90192009827486,36.461908144365474,38.88670459600807,37.94994916464334,42.3598437177618,41.66824092993366,37.054709858618814,40.629935459003505,43.20924288880204,40.6087109064934,39.63511948241333,45.55588110714523,45.4822633355963,40.939358305248824,43.0825765818208,47.983605599419235,46.931286343232934,43.50992754213232,39.10872426333124,43.71284674627974,40.18134858862845,39.86151893284324,34.68375170188955,33.028958791743634,28.039092129830042,29.880943714194164,31.67047458017474,35.40863724707722,34.91621769753352,34.88969276408696,29.999050672843396,31.58709895567531,26.852814404799084,25.209938387266202,26.27448371713961,27.528892757887228,24.99737709240182,22.225124672084913,23.64468573699922,22.498774408467533,18.21590714168929,18.643985376130853,21.158733623404487,18.798346082325796,16.188174192480957,15.46361833723887,16.415241815778465],[22.581199611401935,23.62205690095756,25.534523229770187,23.64896583068865,26.33072134563321,20.02260551799751,19.95660037129978,19.279906050176418,15.351999861203419,17.610546681394172,16.12929998422687,16.500156834678748,21.02429924122024,19.119505792394083,20.856418054642354,23.417947085909283,25.39940445852627,28.732284073215098,32.59997335572145,35.161303989734186,38.49679284297959,42.74019322829327,43.8582839920199,44.67464513248561,42.10393688525808,37.82192129751389,35.934258862803944,31.768123177389857,30.163246366303593,28.195579379516765,27.522592886553593,27.287155314524004,28.197267601354753,32.35554139951765,32.463938370705385,32.66170164151425,32.49365425656268,35.68319300388385,37.24384728789747,43.13200731656776,42.54408123774043,40.68371803194887,44.65625858856125,46.19637583164916,48.536141023570714,50.023258762460536,53.367737887272284,51.00935556775784,49.30362964259076,53.76317614534093,53.34609424034203,52.97217082968518,52.942927714969734,47.790231682088354,50.46713659400179,53.24149570838846,49.76438217267636,46.93908968412353,51.29691518649677,52.85943746411109,47.83808206390855,47.043982321845796,43.64538594407262,45.784632004236755,45.40751265466855,41.469400655356296,37.97730289602323,33.94655396279716,31.90961829116152,27.683245156011743,28.007658842191514,28.87322163261682,29.572930500521583,34.29883521213299,32.75656946749672,38.0483947979503,38.812719130904604,39.94959594554721,40.574352468837944,43.434825218535934,41.613554664441864,43.42162798277863,40.522173408547445,43.094487406609915,41.42947849334162,38.164295805198975,39.125276225402274,37.49303405904307,36.94754721227107,36.830480969022325,34.180997483136025,35.332124653872285,31.21053411819074,28.413841778911973,24.69048953100854,22.69087184859989,19.62431720681217,22.627223058519984,20.887510673079422,21.393695228627557,26.03200491194252,27.12516034458731,30.565390190319693,30.951824747630262,36.517357395359795,33.37576954587364,36.61193794503917,37.9052295807513,34.68389663287536,32.293870356144296,28.579886461329625,28.41194397218297,23.949943065140687,26.324015019000527,24.17178836952704,26.552297534132805,28.042784878970227,30.78141991656774,32.110116252218155,28.187743379094183,26.296423178172827,23.561537909338195,25.22946918247204,23.75428829926981,21.954027314266483,26.757476577458018,25.55896813789309,29.435863577361605,32.305027122971424,35.31885006473445,37.77291240573616,41.165802869177575,42.3209279954037,40.65496562193855,38.84180703246701,34.636291616239134,35.58851316948692,33.37793667664433,32.0157638352443,32.94099268189019,35.324040315689324,38.59933014454173,35.541789586479446,33.68880851465536,35.570315416205766,31.9426150586596,30.057021687762017,27.449288962660624,27.219249560709965,22.95430909933244,23.97979108712757,19.562140596916247,22.59954611544783,18.32406364117565,18.491404096783935,21.880863699069042,21.9359139520593,25.17893636310142,26.17751469487653,29.472723383101556,32.0027104370972,32.99308688891481,34.53098560799131,37.89254523162218,40.69034470156465,40.367520973634555,42.98803266097641,45.93519525981051,43.85907062941689,40.20406898899877,39.54801652769777,36.55391700255745,38.1537340160984,37.56833263870917,36.53783798965545,35.729992388400376,32.491372749194895,37.04350835663316,38.887842519662264,40.31517987656844,41.17202861542826,37.46101099230966,43.12825723760052,46.37114814154151,44.09007896884531,46.03667549193931,44.175386412554815,49.32443744961502,48.67353605144961,50.87328479860833,50.995018318608274,47.86101354909686,48.0920039833362,46.11640993313697,46.485286468416255,47.248766162594805,42.82038609443829,43.297553621514744,41.12901595288951,37.979974948644724,40.21261801709641,36.619583027187886,34.053015315466425,36.86895741550031,37.396806656414476,32.5716996445061,33.1803911790276,36.008571264047234,34.21137377220867,30.00956074258349,32.48031378294457,33.58477337534908,29.053515474221005,28.91729783171227,33.226850097456214,34.99509292880037,37.55721280488521,41.61775687325594,40.252991272405104,41.771095838945676,46.64986248910522,48.74330302051887,51.17245262292048,50.10908514625888,49.030453266292064,50.52262179880814,47.48149869303925,52.29727240053457,52.51209761672608,46.99567312159317,48.97417693695161,53.60971590901217,50.65130687427161,48.11154274608934,51.28623093253373,53.15822604781269,49.41508475543738,47.43391052676066,43.878368250472064,43.48054383183437,45.70915204454497,43.57294945662643,43.44532492244417,44.25151435953437,40.79018068286589,39.42874540335694,40.14729714167754,38.10667770716395,34.419450913103184,35.370872658284114,34.7823701685479,31.627350024086635,31.43750943737043,35.692775358589735,33.7649645190325,29.748118402654246,33.924179188725766,37.42494654551486,38.42147928579383,40.89879928563681,40.26555580627351,44.72772907965867,43.938152165048415,39.69565526321532,43.43074007959903,45.97947917654719,43.45023060410625,42.857893725413575,48.677819982668716,48.58939253365159,44.29628372138943,46.629842051023005,51.380105661778444,50.33438268261467,47.0617375322702,42.70379242656187,47.305187390028735,43.79596586952133,43.094992334529316,38.079675114914764,36.37147563786609,31.378372073255022,33.46081029639813,35.44810320802904,39.265593362019864,38.92082211318311,38.660460811386386,33.955403884490416,35.50462795670304,30.94864625465275,28.86200811367705,29.519363516318155,30.31317014648869,27.607490854193067,25.463300664039483,26.43431349346107,24.662955038335923,21.091793853015517,21.59675117484318,23.248438293219884,20.340100095729312,17.538631004814782,16.44239407489814,17.095822673054954],[21.69073115430043,23.29900154200914,25.55719886968573,24.86706229225456,27.712875219791613,21.126720291708924,21.820184914048795,20.62281401812126,17.681122281555048,20.909894929939732,19.669680066042815,19.067950805742235,24.14927366987847,23.123087740450973,24.654039690087576,26.788915714269287,29.162907708367076,32.705586199547724,36.95509684656807,39.111928005951,42.691610978142045,46.73345176271503,48.1260059698618,49.04523568642597,46.230965176717284,42.07367375957776,39.83033282865036,35.63741107966517,33.76743575032176,31.283050861740527,30.9795069469977,29.887266483453033,30.59454950532233,35.05582048214524,35.21776456133496,35.89756038319361,35.17507686533785,38.945517476753174,40.493786212662265,46.09183491618418,46.07067761800625,44.40075030954202,48.20473606569957,49.84802629810207,52.461552982910135,53.98216372726445,57.26825476407908,54.668970709786294,52.892894444328405,57.18635192718282,56.60456083320498,55.94091626899375,55.876028142723584,50.82442321010775,53.21660222120565,56.33991668149285,53.12661659721056,50.07236245057809,54.41999763207792,56.3536600548145,51.5001093070372,50.669075084005506,47.15578400854731,49.71848934046835,49.36487906163549,45.232613853752625,42.194604133813755,37.98883111427741,36.414365749645384,32.118288784337686,32.761584210640024,33.79956349298029,34.10238481372889,38.77765625281436,36.768219456756626,41.79575276182179,42.40589364811448,43.145010552543134,43.676436220594475,46.53642328589567,44.28629012440534,46.08074840598296,42.6762199956616,45.29651437533286,43.99571181279196,40.802957936528294,42.18119048343624,40.08870297786671,40.195513343416195,39.684322008065486,37.48792949167501,38.72237077027313,34.57142483068282,31.43682226703786,27.921936833633097,25.984147063887516,23.215693307339198,25.132954429515422,22.98087562343894,22.109233076729126,27.58610047539906,27.824866080030834,32.031839432441046,31.851794423040037,37.59288118955525,34.35193685652759,37.069530804593036,38.532085382979496,35.191216061530206,32.7349121365225,29.349410152922893,30.02155715460097,25.933152132318746,28.973982338055702,27.51419755817717,30.226956269013336,32.01622896817161,34.96669789834986,36.643852722403544,32.532960707241365,30.838489082849343,27.882437966412827,29.438016634834668,27.501581007064114,25.107074561255093,29.485737474862898,27.178151149578454,31.21296619970526,33.611325933712294,36.62991947999469,39.037863655565346,42.14319517958756,43.83586687059352,42.02065638995677,40.724328102575186,36.77311219256683,37.605652468806554,36.03652243541557,35.18995518835023,36.26664284088293,39.19532379630553,42.58263166297584,39.53569985284478,37.36660322698566,39.13237990283856,35.303121298010765,33.3639131256507,30.324769594164746,29.481671279394973,25.028544676445254,25.04066345883967,20.399159386201504,22.38146046517546,17.24957862552827,18.48375681767928,22.41718945451441,23.415224202457598,26.25147807716108,28.125413339702227,31.044036969000008,34.29734235098455,35.73206970077574,37.60169377898458,40.809373480796765,43.568880791630534,43.46271488761284,45.641566475953844,48.72459615795017,46.36244007549258,42.96415274661806,42.0247288360488,39.27638964766873,40.66830192022366,39.89340610783504,38.78815028739463,37.51663296672818,34.6065013071904,38.680679183464534,40.99701140959916,42.06053784949758,43.33198772072879,39.110260292269196,44.81255540740381,48.20608569566333,46.247286391973084,48.57684799577751,47.072260646727166,52.19610879568822,51.97383574918619,53.77086436254012,53.74891328443056,50.40145333957598,50.34782999908845,48.11337218720914,48.13290188773284,48.55245334044042,44.08234201209247,44.0558393515758,41.63417609161986,38.27989563846416,39.923271775439225,36.08787986560478,34.00666032311421,36.670997566190756,36.54293555943199,31.815384580313186,33.08532750121818,35.23849969051233,32.69919047629533,29.10541516248447,31.584716493397455,32.038953258343966,27.42438449783996,27.95974468562372,31.909556078902433,34.08773698576051,35.91271190885327,40.87165102043588,39.277538471757545,40.26472877792876,45.14685122177268,46.763517150771435,49.44518132360837,48.22438611192924,47.47544713923153,48.96560536968935,46.173184545613964,51.11679839519798,51.33384440304004,46.19249286887739,48.28229327315039,53.00753398993565,50.236621039045055,47.941206764496656,51.28804713592805,53.21592263986043,49.56213633676185,48.01937985829143,44.037103197529625,43.536738512813535,45.38323857355071,42.72946453227288,42.43561887299052,42.639601409453505,39.4891976349601,38.48548799035423,38.468628873415945,36.207066320182086,33.040147108920245,33.8591084451804,32.572947109372706,29.358610015951637,29.580820531943967,33.34913633180792,30.963268275999262,27.16854967108647,31.567137485338012,34.77207735174166,36.23576226219272,38.71664075740042,38.470499561265,42.929557800905165,42.02119573236565,38.306603380685154,42.19392094893388,44.673241537589185,42.296644539853226,42.22365192452811,47.824350037706516,47.77319664743749,43.90916700887291,46.45899538889644,50.94053705543262,49.998639560822475,47.01489012506334,42.842557121725896,47.49677644041967,44.2074244277906,42.89377031140395,38.229136445075994,36.24256432304291,31.379938970439703,34.00714438288892,36.10793499804338,39.999007269001275,39.76990308067944,38.99448583243503,34.67094423410113,36.14871111796633,32.03167760967987,29.178229997456402,29.337232840379773,29.42655174387186,26.757169542829896,25.369898787794906,25.574610392328346,23.137061177089034,20.74149726216933,21.18651945473571,21.658131588881407,18.288691340299355,15.519628308355914,14.275385904787184,14.846438391355345],[22.062770800354084,24.036924536673826,26.945415560526396,25.77495640800458,29.43333287671669,23.159807704684976,24.138153625156775,23.71291445915422,20.45378458031255,23.35902301999714,22.293296408761393,22.43780991348298,27.081122056090454,25.338431869519972,27.277076244645112,29.742000043224152,31.67918722225405,35.14460626924286,38.9649433859791,41.55226464985145,44.90430653130106,49.14790408963716,50.24135677593135,50.95662676999038,48.380000736830986,44.07736186133006,42.14818934461865,37.94520102001498,36.45254454254357,34.39185987919355,33.91161522224146,33.392344107286974,34.203046946346504,38.48222757343615,38.651499201886466,38.99260187535677,38.5952658909957,41.90609965250922,43.34562832675647,49.169887872972396,48.632642827581314,46.97694873445504,50.96253461623068,52.411922628959985,54.77363526615345,56.13248019939257,59.531595171550734,57.21606883226441,55.339413695967366,59.74379509844318,59.43790455035647,58.956412236659034,59.019536555762954,53.87982124941118,56.57978603537792,59.48452594166826,56.05842316314729,53.23101455355696,57.612743955774185,59.23492173921076,54.25368466922409,53.47894328574563,50.05484032671773,52.23193791293982,51.867447631996946,47.91373946105776,44.43107977430593,40.41161831506987,38.31881545489599,34.11457813321487,34.33780650509745,35.05595545663725,35.91204612124728,40.67200115709842,39.18304589690406,44.38298552600311,45.22555267297867,46.23711976333769,46.886607656958375,49.753795128958224,47.770092128849875,49.503232305330386,46.35928974282044,48.84951770920743,47.26502740843323,44.15148440262816,45.34814918628861,43.60244469428183,43.295065324743575,43.04275440156929,40.51208127653757,41.56722631779371,37.4396874514268,34.56256983052763,30.980394035148763,28.87484438310012,25.989293594439463,28.664468910732804,26.729125844240762,26.407704375748587,31.59299701796057,32.02435719480276,35.98075926698986,35.79291545933353,41.355864579258714,37.905527875447824,40.69688866847176,41.83808948552767,38.28259164803858,36.138344344185406,32.41543913455283,33.034645433893864,28.74664776207299,31.43692893239343,29.84510799919819,32.13948252902089,33.999887751496516,36.548293820068665,38.22106091262636,34.447204865123986,32.38045611858326,29.5596054109129,30.73633585910683,29.077808473235937,26.93203894927732,31.475224382388834,29.549252140769976,33.726754836643956,36.30888239149603,39.67792258887446,41.68332132196787,45.07969491490726,46.6372998309719,45.19326088277162,43.41829700463038,39.32228030624361,39.683295394501755,37.98577294927736,36.829634577980634,38.187814708211505,40.63069310059211,44.23775837625439,41.401532592325474,39.429014796326726,41.48658126098171,37.93709898758723,35.86186714131591,33.193330859444515,32.599142637697184,28.190453899241493,28.590395049649672,24.182581670143982,26.616176182477282,21.700213411067622,22.900530794234946,26.666199102249553,27.276240733150015,30.13185333234368,31.74098819219058,34.553071096230276,37.32629090996514,38.78637422408611,40.136108902646605,43.6394394002348,46.136491730210544,45.53581247743058,47.973655071220364,50.77083884150013,48.347446904931566,44.85494900988959,44.23018023998065,41.546402973350276,43.393286373897105,42.93466405617077,42.07316241793254,41.12197370355912,38.17944257351191,42.542965591654884,44.540592069499496,45.70473294123947,46.57817387492774,42.47068708285393,48.07565733671468,51.35382294689073,49.2137877241202,51.56983365542862,49.97006884162304,55.02737487621287,54.39466390151869,56.38516028965319,56.26527085460043,53.0594774596459,52.91347172142166,50.68421670484347,50.78877126133009,51.15415502737534,46.54173403254543,46.67605335029526,44.04826931658733,41.01480914746548,42.57820309562883,38.99462499413934,36.69728457356301,38.92753583701905,38.999152446092836,34.250227089908876,34.84755716796378,37.09801234208547,34.937354569236966,30.84991180506729,32.939135319470715,33.492157030869464,28.96725363159836,28.862744551510506,32.626994981742094,34.92145833259644,36.921753655826826,41.76566947592142,40.62934852828909,41.7135592978698,46.812909301423446,48.33704375562012,51.30736844892498,50.48923326259719,49.93002163860398,51.70826967896003,49.140517115846286,54.06406365714886,53.946961642662636,48.75542348056109,51.136065662008065,55.65280328007731,52.607018001011696,50.471127912116316,53.96647673147195,55.476717719535635,51.64643305342988,50.41643822348068,46.39867825191585,46.46357789402437,48.39111182482268,45.743639449579916,45.79746403524024,46.08352391254519,43.12744160935949,41.78527269315415,41.659504224252125,39.72217977171495,36.45490607020962,36.82826753287063,35.64303039142821,32.46175538758071,32.233169611377605,35.936884957683944,33.57443790695333,29.48617660227158,33.574612794438906,36.862055410956785,38.292830050773865,41.127439353331845,41.156092218630214,45.56110649411715,44.21547305727618,40.448616661211716,44.62771183791409,46.762971443946654,44.14941117329307,44.280048451643005,49.929475221150106,49.41671902063179,45.4831194317584,48.348928450145934,52.70546845471039,51.36804530290715,48.30444044483013,43.946869017684456,48.321115025318015,44.74639356970601,43.48603147264729,38.78113753395828,37.309592524026634,32.40038866881785,34.544172714752904,36.971513105810416,40.850012880587634,41.008798059694485,40.65782002561554,36.538388421756984,38.48758621045862,34.31267320806767,31.456377260273893,32.32497051574891,32.47367604334028,30.195671203383878,28.251592968920768,28.10161433233293,26.12172125595337,23.78480871503236,23.273889542950563,23.861914297863724,21.044643528748193,18.414733837833104,17.59171544982191,18.42534037758976],[24.04332234757926,26.36128267494439,29.41114636606559,28.9349039047892,32.55231266285669,26.16202525218705,27.366639840672796,26.515355686738584,23.67039479480406,26.869758984820688,25.667518438400517,25.24365774764362,30.277607151715298,28.95078429563414,30.50314440424434,32.80313616390754,35.1206578015266,38.54237028536075,42.60354149488688,44.982175580857074,48.42269501904149,52.57627770212003,53.82038758645835,54.69871433088965,52.04069974283486,47.80664582888491,45.74525540379929,41.552093796774614,39.78788687196613,37.414804190002805,36.797292945346584,35.94174777787136,36.40750600674407,40.780316032475305,41.187399732037484,41.90603383946353,41.330805889591936,45.065998480415054,46.62377465643607,52.281001774548415,52.11667949098904,50.398012967571375,54.25373788384397,55.87401132980348,58.373421063614444,59.84639121625136,63.17356041233383,60.68879614259336,58.89995252699002,63.2350244048459,62.7343178259431,62.12237416660621,62.06983711547826,57.004216801328056,59.39852364607681,62.475323429078145,59.21755217655481,56.15606101873231,60.4586004143382,62.36447430793936,57.43580989734079,56.472429120832714,52.91506740680497,55.30969732101283,55.10933864773966,51.080092297238664,47.794639777440096,43.661471045379784,41.84651911593668,37.52799906599196,37.963234219253934,38.62073061774702,39.200163495855435,43.98092687368835,42.23007862698846,47.14038322896547,48.09522590353792,48.76340480639101,49.522756185044656,52.51176615959785,50.3709309109543,52.26448913773575,48.87337722104107,51.521361890982064,50.21504370045208,47.01838596546009,48.31673069975454,46.19887938036039,46.17094093483209,45.47597715049329,43.1638060603464,44.06391265655133,39.93804299989905,36.90564530587435,33.60979183989199,31.35994763926324,28.83161615881675,30.988555968457728,29.025650590240257,27.993925314170692,33.65117396729987,33.84691700934572,38.18785011970698,37.90863309595057,43.63545187521292,40.282552814778626,42.7981013084963,44.147736355540864,40.624532764093516,38.35530396068204,34.930761293584894,35.908693508,31.836138501744443,34.84254015710671,33.4344581774026,35.94762243909798,37.79099449026239,40.52399852930173,42.143587474561,38.19635136095698,36.314791830831766,33.46524293018966,34.80168035969514,33.004905248077506,30.668447273802627,35.05152342860205,32.64155134812961,36.82631747969331,39.15198394214955,42.398968024749884,44.50002361884617,47.66713398193408,49.50672428597159,47.87275848017047,46.479229876379996,42.53067242008809,42.96889076200874,41.543624475941094,40.62155004002429,41.94109485531843,44.63434701255967,48.189323857760165,45.263293158937586,43.18717090146358,45.096073162895266,41.369407634623116,39.372594536883284,36.450599789787326,35.61531919097139,31.147557657516362,31.052028717387184,26.471712143776266,28.18048664964561,22.792687785407676,24.348291447692144,28.43001511754762,29.609368750125103,32.37190286029539,34.3500047832415,37.16867866818366,40.39253910192992,41.91223241839307,43.60383708585161,46.93017886406684,49.55381439028087,49.188745247649805,51.41664981940889,54.339488176320536,51.83142941279386,48.45545391631613,47.65354654649311,45.03298748119427,46.65353584395794,45.998236359162654,44.977277925735144,43.70814815720116,40.8340455588201,44.8575595627823,47.220581713241614,48.244570614687426,49.48488906669476,45.17517277336933,50.830626351811354,54.21046769073433,52.26118545465738,54.70423561218885,53.21880423317737,58.31230895002669,57.95569323459955,59.785560652401436,59.67040606536446,56.348857985034826,56.14282254894531,53.81616421640329,53.75030831969926,53.97160600525794,49.38590072485854,49.228752316101776,46.5172050739454,43.32256802216158,44.545607939948674,40.79011782939762,38.84921206788786,41.041450635406456,40.66256912739658,36.032782062774544,37.11519596863296,38.896980477840636,36.20643596719726,32.644058000182575,34.72214435657272,34.788478889744795,30.27588183074059,30.662358108881964,34.08915703723631,36.66453604313609,38.08409911025081,43.55585372731579,42.267917777275535,42.94242631782907,47.99712705696746,49.128383248500924,52.27620704249583,51.31540862372698,50.999281585400894,52.72530082920346,50.319913667845086,55.307867654463934,55.25076374062051,50.3614047249237,52.753175014402984,57.344030170679254,54.47937117215988,52.487164598990574,56.04476847741139,57.65282791549129,53.91753962413574,52.904222735360946,48.66451221520143,48.55745574201748,50.225205924587975,47.26027413358446,47.1150756891538,46.95007273217855,44.181789671784045,43.197228045740204,42.5830794150979,40.416734941378465,37.59713771060128,37.97558075887294,36.2567474219632,33.07470333727741,33.24150039167414,36.50593754655918,33.783385729560955,29.990342923174396,34.206962541069586,37.185756998591785,39.000534679791606,41.78178365975331,42.08788418893804,46.455262016365126,45.07152255029704,41.752185734529306,45.97615575948427,48.07682053963636,45.61185411680133,46.09247137404825,51.54789866336409,51.09453806735642,47.48694982429563,50.456065437445716,54.62054217746864,53.37878691793414,50.52730505080113,46.321181650262176,50.70344108712492,47.287997580388385,45.6354538924308,41.199496812592244,39.564337744321875,34.791580389937074,37.2482552709538,39.7201303871204,43.61371799024704,43.82293424663574,43.1452660694126,39.24993352534685,41.07668809696702,37.161699859637594,33.93531295197828,34.37645136263957,34.087208684845315,31.76300935658719,30.42812183543328,29.895044383761242,27.441957759458123,25.857467045009088,25.493992685590566,25.292920735004497,22.175513012616328,19.643459288771172,18.6416816674013,19.19102470276948],[25.269654268469985,28.001511260939814,31.596128384639687,31.15678475731597,35.37276163955537,29.27097807833249,30.866232365594215,30.443423589834556,27.659117207129956,30.857977052971993,29.86347433871271,29.73208001882056,34.568892541342414,32.97366272016675,34.79841099277161,37.211128521155594,39.28839445094961,42.7328909952262,46.57319540555353,49.15627323963668,52.500016172348076,56.743452834994166,57.837808326541705,58.57083057742786,56.01814365422902,51.71295319424055,49.778913377822,45.57183448336912,44.03474024539395,41.83888189723357,41.25117343154004,40.563789961500866,41.096421235955795,45.42290287424369,45.81186666946486,46.391484453134474,45.88274639002861,49.417208375463595,50.86888863989727,56.61062467025535,56.208174500710626,54.58574715725918,58.53613716592379,60.01803902263957,62.4049836452036,63.74380727734311,67.14655616346195,64.8194240534752,62.908732353543,67.27268601806476,66.95769031549027,66.39250413166059,66.44621070709513,61.34236301804445,63.91366072394024,66.92926150474415,63.58342130014212,60.64620090953989,64.98368624913748,66.74670550607854,61.77614367178211,60.87225003597994,57.361773379069966,59.58578460623141,59.35985032549654,55.40734425855388,51.924336193150026,47.887084999951284,45.81210183492909,41.56218001040047,41.76991805644435,42.26393790154567,43.151401571226906,47.96221210247014,46.47484099427226,51.45763523015687,52.51318176978411,53.293829874077616,54.089469538137344,57.062581794657675,54.98611785482671,56.799804559777655,53.45475322246306,55.99203999949726,54.56611037831318,51.47465424804926,52.777049209812866,50.810038194347456,50.67009407211036,50.09703972060791,47.66815572084711,48.490204498691476,44.37835699593122,41.44614370106492,38.12689518387688,35.81837942996841,33.241078586836316,35.64914510451112,33.705127050860874,32.73507812099507,38.35697884063689,38.426804321801455,42.77886244149008,42.29987854443856,47.907236337303075,44.35656641910373,46.75254934588682,47.8764785293338,44.159484280517745,42.14607488982912,38.58188566856753,39.76717468066155,35.68224480681092,38.59824977695716,37.31191932561617,39.59701970690376,41.59059422516203,44.06729286221035,45.81297767582987,42.08095506201883,39.97697629576673,37.1633525953986,38.16411804502539,36.44212605506564,34.13177637136728,38.466455709672445,36.03566490522101,40.335627551073145,42.63708646250223,46.14920223327417,47.88717753812376,51.179958879685145,53.08141794575813,51.71863761754659,50.105183141366595,46.14436627185943,46.15512149424236,44.852587558860904,43.86268371116134,45.449464967208286,47.92797757726783,51.689226490489126,48.951325805806945,46.927140639147346,49.03111328560657,45.4736049366881,43.34930559746914,40.590572192778055,39.76127575285133,35.291898623728784,35.20596424386806,30.78460378150183,32.556717382994464,27.20170161341311,28.99186095005736,33.036077137062755,34.151356378606195,36.79068173508408,38.81342742270717,41.40961056079418,44.45982881191392,46.14853210090144,47.51681348360367,51.02969512680307,53.41011565947523,52.709588421054406,54.98828518631437,57.7077954664064,55.0552917257639,51.70966257452831,51.07311756225604,48.60348530290065,50.522308467783425,50.06939543082344,49.23344238306225,48.08444911004742,45.304174394457284,49.414234122396444,51.652468363967586,52.63219185307724,53.6660154094036,49.288171905765374,54.85511452002242,58.1793104552766,56.19325892430379,58.79426486294973,57.36038745837804,62.37877968032942,61.827922582445154,63.66901821407803,63.41423124795233,60.143404056111706,59.7545777959438,57.34668264188454,57.22855757496895,57.27866199983632,52.58243592298333,52.38535812065804,49.429064789290116,46.46431139931452,47.400905844615664,43.819127871516145,41.885814663703584,43.63047750678783,43.193023382238046,38.65533484433015,39.384771197037395,40.96958341646232,38.38484935649421,34.70387164073829,36.39604524679178,36.29234896099674,31.956908848493086,32.03385212656459,35.03906598546883,37.82284646954594,39.06274208210107,44.695782412035015,43.75151338778291,44.28773864718918,49.467141596124584,50.297181013215635,53.783211062950755,53.14434560557788,53.135365833003654,55.10661579823107,53.02155492135361,57.99584651412037,57.63678649899998,52.88909805369602,55.55997070065865,59.96189704619387,56.94448734436472,55.20263914000309,58.930966434176334,60.17655592394407,56.3457207217545,55.779316581914344,51.38646764878081,51.73376692760836,53.32300378672123,50.20288078625812,50.3063341929303,50.00251388692786,47.544052204897525,46.395201188769185,45.434200320419414,43.50688853602105,40.815252483024636,40.75745263773233,38.91050654997944,35.80215816601071,35.719177042299826,38.67635369642003,35.863512424961456,31.998631000057877,35.901943417080076,38.766819140917875,40.701217510398585,43.756326730100646,44.45364684773919,48.71124771870359,46.90132908505653,43.790749834580964,48.27316989168541,50.01143749460288,47.42446797777353,48.280677817586366,53.63403265249891,52.78177678126264,49.324343310014626,52.62439453104502,56.532699134757024,54.985961834339776,52.208825192183824,47.96321438936901,52.06071738765788,48.52091547589208,46.69204078965984,42.43804942820784,41.17762779228176,36.51675159221445,38.709834184954005,41.456802441236015,45.303325481692546,45.887135932503895,45.39141955768683,41.8585942649767,44.02859593844336,40.25944008017544,36.82826006714893,37.67415261916622,37.21155229349442,35.25892726575385,33.73337500580055,32.68898166094335,30.455573013460704,29.307895238498592,28.21297816971149,27.72638370917125,25.027504563214098,22.733251520972853,22.062027804665703,22.751435639751413],[26.072119461810836,28.854957937039885,32.28178926958915,32.45349091511631,36.355620156930236,30.105812450267468,31.770403323950962,30.887345031147042,28.496338331141395,31.98455566731829,30.918404694626183,30.2557609385212,35.3945388242876,34.2899593738787,35.82282991286943,38.004276611372596,40.41112944110333,43.89503176165972,48.03495798520682,50.324062048486084,53.82364827975699,57.92623454105096,59.23438230975613,60.12273120721134,57.40714637722313,53.19871992933108,51.04305228011433,46.83858111372652,45.03156075233024,42.50700031942854,41.990236413649406,40.86361247833862,41.20300031030072,45.64613788158776,46.124111582184184,47.03179226985439,46.25938690412923,50.19054214548399,51.718881217008295,57.25712982173325,57.27845953674319,55.6595636922618,59.4635766141171,61.097159359254576,63.676979491566655,65.12831514317546,68.45167325882355,65.90901683952629,64.05823893160525,68.32460502566761,67.79828084406282,67.06545395776313,67.01921646276506,62.00356967664857,64.28896887982278,67.50899246923055,64.35751940854583,61.213973039392584,65.49906473659736,67.54839954531117,62.681393603621565,61.683182531402,58.07602915707409,60.594525233743624,60.435590837103994,56.35814201043941,53.18911195017905,49.014043454793736,47.29849492999276,42.95823314370395,43.4402816319144,44.067425163300705,44.595214036208475,49.3792651932592,47.531636889985954,52.301302501365505,53.281906868980585,53.77072062361725,54.5437211850405,57.550277325508375,55.25167466238631,57.1383158733261,53.53213921419997,56.17437899498804,55.02217450291511,51.89386896968208,53.36349306276595,51.06610215043614,51.28492897690983,50.39644034276578,48.24977253550091,49.09463874713852,44.982567157768244,41.86394202874124,38.714788943253566,36.436351676059545,34.069278706059386,35.886960731945784,33.82700573433187,32.24134252392773,38.17296658987387,37.9530996118434,42.60747527953123,42.00667365381689,47.71770707587899,44.28727120035581,46.4412639359849,47.780735512749544,44.15970574033488,41.995653847421316,38.74971114686423,40.20860458422992,36.3529191466373,39.57927502414782,38.498526253437866,41.05234527859906,43.05417622610159,45.77907470073187,47.56050609561888,43.607189721369416,41.726074596177774,38.81534350319586,40.00172457126595,38.067049411108954,35.527702504565006,39.68900029863251,36.805766222239725,41.056499365943154,43.111823963423305,46.431543518531036,48.33590128316776,51.3677453527638,53.51160880070262,51.91909565931493,50.7200124282026,46.921791464118144,47.119608661329984,46.06389180257633,45.35008565526667,46.836252532052164,49.6711233317854,53.34910836645816,50.49464504348599,48.311837811443894,50.23537671693333,46.484788559199195,44.433720039884044,41.39993015706741,40.315119026286304,35.81564941507284,35.279115853041766,30.7582958010629,31.922575597878065,26.330358783815292,28.387413483116244,32.58889714270427,34.15718846994591,36.65807547033526,39.01351822458497,41.56734985540201,45.04177157640392,46.80382769194594,48.53135138279478,51.839647447323514,54.35467095632648,53.96474762167834,55.994538817031625,58.8909103408384,56.18810829706439,52.966155875761125,52.099451347298725,49.67024775132084,51.298963669930124,50.62783388566852,49.63602491378285,48.18516831436366,45.512068522775174,49.28863200038452,51.84420874111632,52.669127403588675,54.05057414507601,49.490554529012364,55.09127438187096,58.51069957058293,56.725865656223235,59.40613882818511,58.1131666956936,63.158354535599955,62.94125492106861,64.57869971851524,64.33942288692336,60.939335026784335,60.51656515238623,58.031771386532185,57.75749834539516,57.71412680490315,53.09197378080094,52.63419150489065,49.69297000683176,46.52649243917608,47.24434026753529,43.484975128512524,41.87619670834593,43.723545603584746,42.91266740955064,38.492230700352984,39.77226205389066,40.99998249558683,37.938790535933734,34.80858131147718,36.62672542932798,36.16232040650252,31.8319159941995,32.4748197973504,35.32058792115453,38.22824844396456,39.00569370989901,45.08377135180567,43.85449361680193,44.073873169940725,49.11784297680013,49.71379703117776,53.19386469678935,52.30875068003481,52.39928582520237,54.225908848064755,52.188787120507094,57.194165094748094,56.99007477368101,52.48701125607884,55.05926031715704,59.5670126768345,56.78014519346041,55.089501134363424,58.80106464784924,60.254265985245866,56.56348383484624,56.04231680162829,51.51804549384031,51.56269014487905,52.93625271347341,49.60520071931092,49.466636530916965,48.82415217742628,46.46224777547633,45.66354019069302,44.39673342277033,42.232862941752934,39.90537158297384,39.97571955017988,37.74395144039445,34.65698469211636,34.98216767605567,37.629771289352846,34.583341380926214,31.059076109657006,35.11972183532255,37.720141591096464,39.91890861956657,42.7932662447,43.58534474688067,47.81175463707141,46.13819402495168,43.36880042601702,47.75750255652908,49.58758234547358,47.200616484023946,48.216974425170626,53.40074295616056,52.767307566669075,49.56837550928418,52.80952323670521,56.622533951644506,55.30115020408262,52.70553512772658,48.64604415016404,52.85601630130226,49.55127330242538,47.44036030518659,43.38915316784038,41.81293533106229,37.27414512928914,39.85878113031845,42.49673897382683,46.352648151475876,46.816594587147875,45.94139555188154,42.498946688132236,44.420944229893756,40.86596223058417,37.19771858710426,37.53973998956333,36.76193979054019,34.700086357241965,33.74872447920119,32.55449832928545,29.900169237249507,29.264872372409645,28.5366304506686,27.5066971791788,24.501119953558163,22.294316833827917,21.445435715587806,21.906832203890254],[23.88960148245959,26.827518932568747,30.310957409217124,31.101003179832663,35.01050726125559,28.919175804033372,30.985239195635813,30.099192320267502,28.272903925627503,32.15077028670509,31.442783294623165,30.594803527234372,35.67090348845939,34.93367074320722,36.70837319462602,38.649636321696654,40.9717409797072,44.717117097912066,48.978256119762726,51.063713004654204,54.7302855556855,58.70496311789799,60.14720649787745,60.94979782264283,58.04567466838931,53.90537656838021,51.50966498065664,47.28047554597263,45.524864340526136,42.85957174055819,42.928466774052985,41.33136048663977,41.91260134041857,46.51596438621664,46.71736668950598,47.651715127345945,46.49967947653255,50.49480244424665,51.847565760526265,57.22656035382617,57.434096532548956,56.123220991383334,59.883561569093544,61.41236277522332,64.14049838339581,65.48592120258711,68.82419183481801,66.20818156424126,64.16442035283082,68.30444668519266,67.82773258093444,66.91664908521119,66.97919676768608,62.01470137589409,64.34915836930368,67.75163797298529,64.71199830765264,61.61954160014753,65.98352454379629,68.09677469163634,63.379663529356655,62.60346815569579,59.050613302145024,61.78742998036747,61.42343961994496,57.21641490206279,54.3336409491188,50.103842049642736,48.562763100974564,44.285940249146805,44.86686118010702,45.80781976011731,46.22477800469656,50.92589334007891,48.872266368292586,53.735229451340004,54.35616852013452,54.85053798460919,55.34653688669196,58.16512203407834,55.58020281546047,57.215765101157096,53.375746246878826,55.83405452457764,54.75700931572949,51.852384852484995,53.65942154300472,51.34490127932798,51.944004547170735,51.21458596996795,49.309614735161944,50.480191689964684,46.34802692394169,43.08024544047101,39.783225688791624,37.800448160604134,35.2622696302142,36.63989607301198,34.24466138884113,32.229824921093126,38.21924485585147,37.36994267714414,42.24617241298276,41.13247783053132,46.68731010806001,43.094442827004315,44.91939968414899,46.157005768015686,42.44449413214854,40.436279376044524,37.31862811846464,39.23166232628742,35.63784253485223,39.094693396361734,38.50784056652619,41.13063832626958,43.42300528554857,46.163990417906106,48.36883424775862,44.407604441607035,42.53714548683597,39.43846725558477,40.37403809041701,38.14928365254124,35.293270247998265,39.112988179952346,35.70942896778637,39.9781225421563,41.75212373499473,45.13983358658939,46.82803347624163,49.734048693596314,52.13442380469297,50.630069318313964,49.58749838083207,45.9703690463861,45.953174577432804,45.31074926860769,44.90476426546842,46.55386579330862,49.683177974825,53.50328742952713,50.7678057998111,48.372129420038966,50.322284499288365,46.58812791744079,44.412058401783526,41.264929026320296,39.854130300466025,35.353609397883176,34.38577339328952,30.07179497201724,30.92555336393861,25.42017033613035,28.02759469511252,32.14056390561758,33.90316487835692,35.99772271595628,38.748982451846075,40.82410661777245,44.45986929379016,46.60364778868079,48.264994841777536,51.578288653361305,53.874988291898426,53.4658690376632,55.217178021713956,58.097759955687636,55.19895806748477,52.174742609767875,51.19783676631121,48.99868196758972,50.63261837962682,49.99452142706121,49.130395161907444,47.57956270799472,45.23677622688824,48.84855794305167,51.433858633288956,52.00314660831065,53.377991443300296,48.54999788098427,54.03601544317033,57.460025679047114,55.840430525054096,58.83338634054511,57.826714380265656,62.76163967011101,62.709574951982525,64.05804711182662,63.644670286414964,60.161929862920395,59.48284349347699,56.8393881545031,56.36027738876808,56.07894358764046,51.45102708230698,50.744902077652604,47.653495431024496,44.518248505943596,44.882591128826135,41.15228826065074,39.77244808996436,41.390067140421436,40.30528074449334,36.044984312442146,37.51247232982732,38.37022931823129,35.08792481151744,32.2800466121809,34.00017345005913,33.23003875982236,29.015191832702886,29.9364885501774,32.495518563330805,35.53024171502037,35.93165163478008,42.319947868373994,41.01126443926029,40.98290758957015,45.96773748072934,46.35253283040642,49.92121771164577,49.0408930604086,49.30410263816568,51.17968600735289,49.344619626115815,54.338475069502266,54.042054529981236,49.756735605763446,52.427358430078684,56.86770399900939,54.13958911715142,52.63043228977151,56.42545940898119,57.79419579074027,54.16168079001153,53.94808913152545,49.246565387154234,49.390740428971434,50.56842854399491,47.03340654421484,46.95539912051726,46.092102797657446,44.00585807182606,43.22631073364482,41.60032628165393,39.53542623669905,37.444807194688444,37.270188161663924,34.82512007850789,31.817142862649426,32.161409212844774,34.4954967678482,31.348647565982354,27.952271619526655,31.91021978135922,34.33915038048443,36.67893464391605,39.57175545956459,40.582049848182606,44.72017736693784,42.92573385661171,40.429084321740646,44.86580341177196,46.57076377277886,44.25730656203129,45.534941923281394,50.542405035441604,49.880608942544285,46.93072799187508,50.26569608401858,53.88233559260996,52.597913177094625,50.177504061701875,46.270632850128585,50.44648051368658,47.31567626780191,44.91804464824993,41.123627046695184,39.43095391732672,35.083011131831874,37.890227988664726,40.518786461494074,44.33382292662691,44.86143318440163,43.75418979679561,40.62250037949092,42.546278963780594,39.31511243138094,35.325728552374564,35.584661256090804,34.4853354524285,32.68217134156252,31.94904244406956,30.2962676934963,27.571276025014786,27.614184612889353,26.63331070638963,25.055616824609498,22.189329514782674,20.278014124906075,19.663068619742603,20.2311702536471],[21.1291257047042,24.018950540329637,27.679472317247484,27.895271508210747,32.12917286629956,26.147358594616907,28.22854183688095,27.838470655163274,25.704865285648236,29.42381476137691,28.914227260905868,28.583747493742315,33.327834672971676,32.191233932981675,34.3802223197581,36.48982279257406,38.428798310710825,42.24117571820795,46.24329059009272,48.56606540926064,52.136716811587775,56.21991680717856,57.486825321472864,58.09806802408132,55.29073020922198,51.06743060231245,48.81385509395653,44.5631220528829,43.108581146674496,40.74884579290819,40.95990525427285,39.679768855075274,40.58469959328596,45.12743356086899,45.1153892699192,45.68370610577017,44.69524738592474,48.273482405221046,49.488333502295426,55.05608287836974,54.85791696120247,53.639023372456506,57.55089012149489,58.88384614307543,61.45938621420748,62.65821412379006,66.08804559299887,63.670743645775346,61.50430009830761,65.71684042166278,65.48015008941813,64.70039312975047,64.90606545807644,59.849597261312475,62.52629592511514,65.75985414365343,62.53386370757717,59.68624247530827,64.14410975424127,65.95810258803614,61.174425464471035,60.58760291925537,57.16092554558449,59.660621412121564,59.13836929061992,55.01179769434299,51.89684871346189,47.78584310944543,45.93243186060396,41.76931490880597,42.1110054569609,43.0657858434945,43.80024331472741,48.49748266267021,46.73596474287728,51.88728167982939,52.43712999246,53.2699764995222,53.67983027155564,56.39290607728561,53.95832228770691,55.42830231429938,51.811911804884765,54.09960436675641,52.72783275198983,49.922706826984374,51.651990904632356,49.70731299469015,50.030299856243516,49.7268935493969,47.58787595581942,48.87784457083817,44.72751777622521,41.600340113505666,38.03126012106184,36.13918770715052,33.27602689782847,35.15184413320169,32.75356470381403,31.330752490808276,36.98594912344294,36.299737979969215,40.886912319010314,39.782193377148005,45.19781542734507,41.41861129793373,43.48131698186529,44.458098672386726,40.6132927270076,38.786402347211215,35.30528599247565,36.99621531501361,33.18311163411442,36.37988752501496,35.70510912621705,38.084434005549646,40.46628192206654,42.974102522523374,45.29190257931203,41.54110789272879,39.44564582625611,36.36497705336762,37.03980811308994,34.92325715116228,32.19162812737628,36.12944320233545,33.07575961665961,37.42593560336735,39.432795709975636,43.05440133077771,44.54171190415377,47.728031126413796,49.9000676434693,48.655240741248726,47.18072882697548,43.40703325242884,43.16793098434542,42.33509971279864,41.715600524250405,43.50460390281695,46.370678179065216,50.31707151144503,47.723037235859955,45.41873378923339,47.567826545268055,44.03136043173512,41.73268530625507,38.836336493565184,37.6126963090085,33.12160469510517,32.560923294827624,28.384424042488853,29.92057852028891,24.704824915352564,27.13231462679024,31.047223553959697,32.32347198941468,34.48301418883038,36.96116185924663,38.968592870911124,42.177331275353914,44.3463535323144,45.6065377969569,49.150143076774526,51.25573328285219,50.522981803897736,52.47806776112237,55.18631608796447,52.30109069357835,49.17460188083882,48.40517072324161,46.19711354605237,48.140975049255466,47.745267864890145,47.083158685028465,45.848988723754026,43.46300508608946,47.43251620807061,49.65946064086844,50.3451203763316,51.3228862707268,46.62880661402649,52.07046358878016,55.39751857342834,53.58312133448316,56.562267024036764,55.46945130254686,60.35799791158163,59.99153992164204,61.489437456052,61.0245228437928,57.6531474353825,56.96389124866573,54.37192991803906,54.03102612372586,53.826304256189204,49.106971296137345,48.66033922888992,45.542063723184484,42.60937259901139,43.21862900763939,39.67121345160579,37.920955249884855,39.44574217213826,38.78136202309547,34.35796153057926,35.2475073941516,36.52189373906584,33.76617338862097,30.30457201464258,31.942394254462016,31.608796409117257,27.322594333773072,27.64576890794936,30.485093828143,33.36856626724629,34.34051451700888,40.229179490031036,39.17525956587278,39.53858265661468,44.68523074114783,45.40991351533443,48.93223768153299,48.29690869843805,48.39486968461717,50.422370142277195,48.49523648775488,53.46307165898861,53.00705341254683,48.410346778832036,51.18223249094638,55.521938626308085,52.53844655625773,50.950365033498684,54.76600948162773,55.929856171859186,52.14277838682931,51.85876386975659,47.286928132521446,47.75266036555247,49.17647420628288,45.88121470218601,46.08544851864566,45.64321214267819,43.42743311035205,42.21693169602379,40.97456630239629,39.19539456045812,36.63526049043569,36.31641696680827,34.35843968343996,31.306133712066448,31.15055100094919,33.92296978759237,31.082899624163876,27.227755115151304,31.054355258031293,33.85726487304782,35.84732405157271,38.937528153933414,39.78241241838828,43.98441375513843,42.073996655377066,39.12259710674093,43.658620383706385,45.304886864642,42.76442202561413,43.816646860283626,49.04797972817499,48.186809713342356,44.91532223786955,48.29058291299616,52.05288667744835,50.55937746171454,47.923020789022395,43.807749730909926,47.92849154966663,44.561326625893344,42.467598080523466,38.41122526790553,36.98146660972765,32.45947961451826,34.928569933058455,37.65241557950731,41.48655481238913,42.10067533471697,41.35609513065612,38.0990291180744,40.28109901129404,36.82598934439499,33.045319394112376,33.85609991743808,33.10873689077349,31.436362555585127,30.03561055347855,28.530548033632545,26.279308899761965,25.7450316073278,24.324406519272603,23.353993340909856,20.815934554900668,18.77971563674492,18.409649978035834,19.32289012977984],[19.27161380937465,21.699933465116583,24.839126332028428,24.921606942712106,28.649580437740884,22.38563041835822,24.16175193033436,23.495083273820157,21.319572904267076,25.096139244499255,24.542107011721782,24.060618245768183,28.862182716615123,27.935173256229774,30.050873362096645,32.050116867441034,34.071621777032036,37.92603133204976,42.066061883339806,44.23411405261241,47.886120965464215,51.89394684915982,53.26555043255725,53.943128319405744,51.04292580603579,46.87423129955532,44.51020772772696,40.264515912966175,38.69872749130037,36.243786651462116,36.58445683801883,35.1578024457677,36.14976833782775,40.73096049459047,40.61951665633988,41.2081064453016,40.1412564724374,43.78900781888514,45.03426699113365,50.556090917598965,50.4886744832886,49.25131090268444,53.11097148505707,54.50050138555617,57.15523637885391,58.422522716310404,61.80946702799865,59.29471364259828,57.18135793637897,61.37506986774538,61.03954201891428,60.231486235521935,60.39059359285488,55.35027009292213,57.968294074797896,61.23298460977669,58.04957913361637,55.16573426987807,59.627194943961086,61.49403802097524,56.75313150192697,56.19816650708548,52.77931215926655,55.39195436201769,54.819216989812155,50.6337312000354,47.68058256303921,43.51882082436922,41.84416965941246,37.67887188682517,38.17119623214562,39.3265484041525,39.856467052409315,44.49254958092161,42.55227016532703,47.720272533089584,48.0996679742691,48.92946328165415,49.23563563154691,51.89875535471772,49.40820437064293,50.86481612926489,47.2367060393823,49.551533573199116,48.213899032822425,45.37247805832849,47.12712856190499,45.1520547728837,45.5577303416402,45.29763535697859,43.24209750474291,44.68973061797865,40.5365571976707,37.349585603106924,33.70525535319042,31.971607347827668,29.029699676519396,30.72325204195389,28.235908531461984,26.850899169784462,32.434953621667574,31.788415760676898,36.32295421641767,35.31670929673621,40.79337108759589,37.112782712757706,39.32379517750266,40.43303388382039,36.714097994946044,34.70088228310392,31.249333005579903,32.74724595360084,28.90677232898127,32.166403079846795,31.43514130585359,33.97378346775212,36.29153670075948,38.973936130895964,41.27178485745475,37.388233593642845,35.43743231933204,32.29960303695492,33.16646767284962,30.95997458936391,28.177920042038924,32.15270527755767,29.12968208851782,33.411946875701176,35.480377573730465,38.933184274561604,40.69612108391432,43.83462601791084,45.91595205595482,44.49075795305124,43.12010495472369,39.32641698361887,39.41270374201381,38.45613554156786,37.88148963033655,39.47917108598694,42.51730732862116,46.325428803524346,43.611701355970105,41.25293780686755,43.281337749209804,39.64565817480903,37.40809188723078,34.4084539271141,33.17415147240281,28.672676669150704,28.143148915717866,23.876299302503075,25.517813045904077,20.364070953248653,22.657540729975562,26.52289335624802,27.745722739985812,29.96230226140262,32.39674927694822,34.5110819260756,37.79293549445006,39.875315580259745,41.313913403253366,44.75286854860582,47.006116330761614,46.4960322844242,48.42919270115528,51.28589652590398,48.51718883859312,45.349785210547054,44.46508410725468,42.13402934902599,43.88566342343633,43.37112914292289,42.6107313550423,41.33968052136328,38.903038558922425,42.87687360984474,45.12023486455048,45.84479197641054,46.90232579931822,42.26458032018212,47.77427810797051,51.133576660413894,49.31567711223946,52.18501699541301,51.0557832095808,55.99056937444633,55.73717580323832,57.233675168188526,56.86525379862054,53.46443172710899,52.91604588391822,50.39449635023624,50.12026304264089,50.078143658942025,45.43018154173282,45.069791579727415,42.16332454450454,39.05321233936499,39.98542253487783,36.30650113054057,34.45813278943281,36.392838658168905,35.88118810979316,31.314739283785194,32.42445475652285,33.992362087457096,31.251560398905735,27.744232819380933,29.763317796345596,29.710943789978035,25.219436264079512,25.72862506671511,29.077484253417744,31.701172672093193,32.99453707187581,38.5885722851703,37.24575167345983,37.84396974267374,42.902343227501895,44.01704899518512,47.184838546541044,46.29268812006609,46.04778235836775,47.87761233891846,45.61714760857951,50.5986780397026,50.391954349913846,45.574871160653835,48.11157765952755,52.612706584328734,49.70884534598196,47.86194204563053,51.52887885013673,52.98805450647052,49.25238554997971,48.53179558570531,44.12244777551417,44.23935261479704,45.79522161439123,42.694613208748684,42.73862025793265,42.5334728210327,39.99318627665666,38.81802017088116,37.9959941404733,36.06345144433993,33.25033065185371,33.305336666336856,31.593991506730614,28.447777155832735,28.40587545617394,31.609055139660576,28.938147795191043,25.027700465595153,29.150143368113795,32.16709928979778,33.944402090428476,36.810542020631345,37.22618262096898,41.559060655938936,40.03831398299209,36.76205751403693,41.073994858790456,43.064238372649804,40.58774585657034,41.215435911353325,46.6064794280151,46.0889394218742,42.59257051323686,45.656235399597215,49.70535996847341,48.460889942922535,45.70124279187225,41.57686641903232,45.96701114061069,42.67354496607037,40.82686677790645,36.53064986642527,34.77953329741886,30.101884608348644,32.77029992942928,35.238473209535684,39.125594021839746,39.390250075918146,38.54161407170519,34.901480335621166,36.81863596332071,33.17441675468754,29.605267266598126,30.160355508629547,29.651035718261802,27.660980579686633,26.270163369134693,25.271566167530192,22.90589754121616,21.825827008657146,20.990788491679435,20.439944296145697,17.53602232563013,15.21753159873138,14.607447956013313,15.576629359687836],[17.136590148445652,19.412229886185216,22.724815277222596,22.045818559525124,26.1876268953519,20.16784745948602,21.968315954536987,22.01989828882361,19.491623506591935,23.007188723977396,22.770420077239383,23.00443048843079,27.264074085686776,25.828131397871903,28.495982675367557,30.676148591611245,32.17254772951989,36.09945767078346,39.89182929681368,42.33867376167482,45.86412576684663,49.98375591555553,51.14444224403138,51.580868113183115,48.79689751756425,44.53904159662485,42.34871452078664,38.091661005691485,36.92404841127161,34.86989114541945,35.416479314441176,34.37615480838491,35.75696416086793,40.21619434224383,39.84092245820252,39.98179005489667,39.10375686240096,42.214620312158225,43.2702804299147,48.98605777273506,48.43437855029006,47.33451067294117,51.36162244862583,52.50179875172855,54.97309143905481,56.05161681989086,59.54612069049792,57.273115029736466,55.000509871764315,59.26712713568097,59.22273579176815,58.560051557568755,58.894618742932515,53.76805785151604,56.783309942682145,59.84881967304816,56.46316693968632,53.884170571881675,58.440290339957535,59.95349224434591,55.15769801739037,54.838795039910146,51.586392216486814,53.91505563354176,53.149074910274805,49.072429933986975,45.8638775186443,41.86717686637867,39.81961357144858,35.826604956122765,36.013909715682814,37.193593566119844,38.117464425534116,42.71605610997572,41.14055883494705,46.62055410898899,46.9028959358432,48.125520554926325,48.318991280685985,50.83343927888161,48.521009232606936,49.75906714361556,46.403282386036274,48.48926392886736,46.810319421394915,44.123004806640786,45.79340396992562,44.27440491181837,44.366811305629305,44.6214283268674,42.315661355842586,43.90149949961414,39.76535258030557,36.777890773334086,32.847070801507364,31.262747057416526,27.95403126529918,30.226480475893666,27.76883227967098,27.121855611586042,32.18163502097364,31.700786843981255,35.83046937489627,34.8080852379275,40.035721588518776,36.15234717831024,38.59413428661963,39.36330160541738,35.5088028449455,33.76443875880727,29.912868834289874,31.146986509619623,27.08102300496008,29.975811528465837,29.16991450619452,31.37011600812373,33.81899353330473,36.18398194658355,38.65256870287991,35.05731515426831,32.81763720216535,29.704540025456218,30.19374649553959,28.120410959537512,25.4992660254565,29.590373123450583,27.026349889286994,31.378309726811132,33.70629875445545,37.43412884465818,38.90644190238518,42.35760059858116,44.172647483853744,43.086047644504816,41.20226656300679,37.24845783280908,37.025756554043554,35.86228156336376,35.031848488140376,36.823324446142664,39.53083919668844,43.51022414616701,40.99273601592995,38.74368032522509,41.023335725328096,37.659746322902635,35.26740061241652,32.60847367918231,31.60540226573513,27.172442811018996,27.155627989423838,23.18564922304297,25.626387198544034,21.032050299903954,23.0478325839362,26.538900221216945,27.13478312557941,29.357642172820285,31.436985419204067,33.398644884632525,36.118314157948475,38.247595696786924,39.161212694830375,42.875919805019386,44.86233887841118,43.94117150835411,46.102813177923316,48.732976967141916,45.96907168846142,42.69828727000828,42.072880654903265,39.76035391113666,41.900449374479514,41.69561047767863,41.20211268744935,40.32195489888842,37.88079722502442,42.23612644894849,44.03395552115454,44.87259130407474,45.4421099816752,40.97649135894725,46.382860744551564,49.60702050134336,47.57595548915634,50.44380413194527,49.236695470502326,54.08957749682854,53.467471725460676,55.1182455516283,54.67079704051714,51.409367227920754,50.82550082553202,48.35994766469006,48.235594353949175,48.2606719643842,43.5232583386376,43.45614594721488,40.516083660053916,37.68993288088171,38.86348306684747,35.45644877530968,33.20615724525029,34.9673269909455,34.93993397191016,30.268251483174545,30.6478993849393,32.66906261057296,30.58935120261529,26.38528598254188,28.241977859717966,28.688876242304758,24.241844376160124,24.00338416143243,27.592359177520056,29.998523905993387,31.907233533956095,36.86787191624473,35.84852436885334,36.86298073668159,42.04272974653068,43.48037578636006,46.59602156819476,46.004645800379315,45.61807643255177,47.616593741074155,45.31564399438913,50.2204705555716,49.81245136284416,44.71537918235964,47.36941643671486,51.70687354623893,48.52977214367334,46.63430083494226,50.31635057380881,51.50523146499929,47.613217233227914,46.86090493011041,42.61317936944434,43.13691506015086,44.9437790866629,42.12277148510563,42.50463357162296,42.74100464271574,40.13413654640005,38.482987686409025,38.05276778798037,36.49096203470289,33.23344789872358,33.075547222285586,31.922709341133668,28.81750160270687,28.191603286384716,31.76796924007272,29.48269654577824,25.192019523909952,29.01380021647653,32.34715574116897,33.72610023001772,36.78005246251562,37.05212212878747,41.37960177556127,39.7115028275575,36.00685523812992,40.39396968891106,42.26288370993198,39.555471292858805,39.95743505924589,45.53467060068419,44.77068782968343,40.96094509840116,44.07003497121208,48.22959235164833,46.73931622731504,43.76586624405565,39.43539904633752,43.712196559713576,40.17045713107892,38.67278175961874,34.124066170850476,32.7169112338833,27.89666981396265,30.11176995732166,32.68234404986456,36.5597952043472,36.94544792848586,36.53970103546167,32.809775485201214,35.04382834091345,31.17889256309295,27.893273233839956,29.148007133784294,29.049224580937107,27.302456694074007,25.11279115779013,24.279712244202624,22.589009534882724,20.86210076239747,19.420144687280814,19.672761239125588,17.372667662939904,15.07279565312524,14.908346193295952,16.28943474257004],[16.611358983555714,18.135733506117482,20.774403636979738,19.478890874117116,23.115220763836046,16.92347222973749,18.194460504896153,18.261488946000103,15.337085818348587,18.673843604917714,18.45442217935978,18.92713430400698,22.983714116585087,21.460938753836018,24.255894852715947,26.443407733530854,27.816440757425944,31.769252210206457,35.54773596970089,37.983712682435055,41.51500400582181,45.62727465229489,46.79094946065515,47.22470647905515,44.422775717668316,40.170024671369184,37.976087661710864,33.71906324195861,32.581714137927136,30.62318177799208,31.276257730962087,30.34330074263476,31.927358296160772,36.32328036186526,35.79304365223805,35.767263943438394,34.962696528004905,37.91567679271122,38.96581433371339,44.74089106687312,44.104057405974416,42.97262124233661,47.01973712283656,48.14807448675277,50.60600164471116,51.70965057169997,55.199308188602615,52.92506840099141,50.68659946863541,54.98651429227177,54.933666636753735,54.33149164332665,54.66024831705292,49.50918903084734,52.59761626735994,55.58558339648802,52.150464167684184,49.635776171827786,54.21150887396791,55.63843527997113,50.837415081037825,50.59440623508263,47.40289870416093,49.69818784639052,48.849088721143325,44.777529474658266,41.583333954564274,37.608167665739984,35.56749948561579,31.629670219522858,31.835768885048672,33.185444923328554,34.067926840901904,38.596297224291646,37.01735256073394,42.60879102406809,42.746595308327585,44.113279995099695,44.211006483435376,46.65184767178676,44.408483240786296,45.59921478842112,42.38620038106404,44.44742010275718,42.66392087254832,39.95315876939822,41.54622563265746,40.17712136077548,40.156954231370015,40.62587084534848,38.267187405306146,40.004341503886174,35.8899217854194,32.96402641938295,28.87803569352338,27.48499262724708,23.97675806095548,26.387149796124763,23.936444927588862,23.778871492956426,28.449994834514296,28.226232801313063,32.04490678417189,31.241337797015056,36.43525344443982,32.63683768262146,35.37759990213837,36.17343910240072,32.45352956134706,30.59806675094852,26.630204679554137,27.415203276332214,23.17345297494886,25.90914583735299,24.877772362683007,27.10216604165156,29.46860187134332,31.900316895777213,34.326465770629056,30.696766913691228,28.491018429565024,25.356079940421367,25.96885027277162,23.913686445942318,21.385245599982614,25.662239329863436,23.485727845576093,27.753458218186907,30.306916631658314,33.91951699223789,35.614001063137074,39.13666803726875,40.69750902255935,39.53280083401983,37.53946633972973,33.47405489060812,33.537179509047725,32.063172838260215,31.107069134747505,32.72232252137351,35.42369183051806,39.290103514974795,36.68863911798855,34.46772078541696,36.71182004927522,33.34233996350657,30.980517825064723,28.37712371668585,27.543639156355155,23.14544992990082,23.512614193792416,19.57868323728567,22.549699904759418,18.405932650643578,19.93338798508334,23.136429958937516,23.32516023747449,25.69027755285388,27.45490907003598,29.571259459507083,32.08984668301261,34.052289568790336,34.96366164221005,38.67305143138683,40.76067340395008,39.92725869396357,42.210606697963485,44.91364304333127,42.321008283343545,38.93174395385984,38.30587463294469,35.819139073204845,37.897918990064426,37.67887678049929,37.15756677637318,36.416011830789884,33.85461168286619,38.385335628429004,40.017823227142756,40.991751799581735,41.45988256941071,37.190430626720605,42.63688359422651,45.83553125462482,43.69252284999684,46.375991631866256,45.04215257631081,49.93532750361851,49.26323052222405,51.02753062470161,50.68657921477909,47.4643131487007,47.06823437878276,44.7339259557161,44.774594913151574,45.03861965895131,40.36647252208361,40.54393133912319,37.86241021410135,34.97521963169782,36.62292339029244,33.21681420074162,30.70600670410873,32.851657162894526,33.19946863300669,28.406205360166933,28.70495556507461,31.216584298369526,29.459659335106345,25.028494150175465,27.179798012097482,28.106989868614555,23.610034155700333,23.261259355760348,27.346657687074423,29.342702218681872,31.758501871995726,36.09656683871695,34.93478668218527,36.32025238121477,41.38015089859052,43.27334271406652,46.00466175749205,45.2726781712497,44.505311501980124,46.33981358399153,43.70367334331036,48.55143541124081,48.33518811035283,42.95539139291363,45.37536105143343,49.79151215775696,46.62043272399581,44.44120830292519,47.93921654696218,49.334984863382786,45.460747422917294,44.21237104337919,40.25164868829606,40.53847459986497,42.58453568008384,40.114645569772954,40.43498472661633,41.078395044120406,38.1208891087929,36.3646986058644,36.54565148135724,34.96375458084647,31.327585348474464,31.51799266977007,30.849955998805576,27.73769589099226,27.044910395346122,31.106757300343215,29.171199436293037,24.845311386290454,28.732399789464445,32.2855789692106,33.303914615197215,36.14086945478581,35.92767223430706,40.322470161819304,39.01731749786104,34.89581473187615,39.01282166067528,41.16664446085841,38.474831288744575,38.34488353672286,44.09835019622629,43.598106969536076,39.477495993652326,42.24453604416276,46.71054656405554,45.38925291112826,42.230586263641854,37.84889353541487,42.30741939642882,38.768068554832034,37.69413355320764,32.85840611786022,31.294182705604367,26.33484393550968,28.49781785915404,30.791125924106154,34.66869463213681,34.719636713542975,34.41441316625171,30.234749839457923,32.27647400173223,28.09189865418786,25.27854254679918,26.52682090904391,26.911950484348264,24.909117609348485,22.403994331188446,22.33167854269722,20.863123062415216,18.145046131383616,17.244378595437716,18.431658428249012,16.08796867273461,13.58475957147099,13.335899602394079,14.805486625633508],[20.165483265775848,21.36770007302186,23.757313458419066,21.533328541691194,24.971653625353607,18.992884971581258,19.45609615404027,19.66357132764568,15.835336398745103,18.174962399332433,17.404320917711672,18.461304450878156,22.326976931607142,20.028018332784676,22.601002365394244,25.216507534800726,26.532990513167878,30.08822904155646,33.576999418498914,36.38598154968807,39.641565504281786,43.95713809013023,44.881325551752035,45.36697872929277,42.8577647177976,38.49267828813004,36.69801902710181,32.4968371639197,31.403407859963128,29.796637040815575,29.657785996113088,29.545217464569888,30.912924221782415,35.01661861870677,34.76824105057501,34.55669025537758,34.354254119354884,37.032533274668324,38.27438471344537,44.27733745134374,43.264508967239856,41.741392566779744,45.87783520331801,47.08019200028168,49.28358185466367,50.48393492554116,53.970385801505515,51.85812961117787,49.85099143320999,54.32332816630314,54.26850143806406,53.94149771152077,54.16567150680712,48.95267354607822,52.05984995701545,54.742707988274724,51.12181728472344,48.633292142780505,53.116357993118754,54.358655977492965,49.35623517931705,48.8952738449356,45.68974355886396,47.613459965487124,46.96875688710068,43.10464567944875,39.448137240707645,35.59713578960904,33.18600320844296,29.20182726899746,29.1620152730301,30.099108656203544,31.279853202629155,35.92910999801026,34.749437267434494,40.34233852827535,40.90762862113634,42.402110194985234,42.81790116639997,45.44875290464439,43.64795288461493,45.103878936164854,42.306952335550925,44.53795836463698,42.58515850413123,39.629756098734894,40.71794832451305,39.515368769118794,38.88121275870922,39.307749312911746,36.55002578305378,37.91624455164943,33.836919217256984,31.1930381685785,27.205917631762468,25.470654352148216,22.048833243892286,25.33362648219945,23.42870215367542,24.154577470443893,28.458854818651826,29.17447269744594,32.48737187548677,32.418833346229164,37.658555662183815,34.13609293131512,37.29736991425287,38.157922033099304,34.644716212896256,32.67423835516304,28.61129734714921,28.641386018115117,24.10726083055461,26.285031689315073,24.439251066157386,26.423143077345767,28.31400849555488,30.625321039464698,32.430180951774275,28.894090862261983,26.591722522591144,23.77992550789185,24.724920133559245,23.234786771411862,21.38086308138445,26.12477294827198,24.977854236705188,29.046442670247025,31.97718589508147,35.42967297394229,37.34074623495435,41.00290243766001,42.13557559662189,40.928602194795005,38.6639938670767,34.3959044290772,34.728731478942,32.62618482299223,31.160110785178013,32.52027352341415,34.663465362331834,38.31330665102044,35.591645342028684,33.738625574061984,35.977861773814276,32.68608946467208,30.509742801921917,28.216462109342874,27.972738284722936,23.7370585128759,24.886328557926753,20.894233288308055,24.331336178033997,20.39622231144947,20.99433371805555,24.087727674597485,23.811471949649103,26.706721166687966,27.737782580431578,30.476263725981543,32.56786787644596,33.933843936610664,34.80672830297706,38.521493855070396,40.84184759060538,39.968076914185396,42.66867323258317,45.31947146133493,43.047917381014315,39.40640600286639,38.99740645205747,36.216200590296815,38.325521412964335,38.12614360932866,37.48865752995902,36.99180675872555,34.00330922270326,38.79068973319541,40.24924711545981,41.589618282291305,41.95146113303066,38.16648139234216,43.65772393808369,46.777813126983034,44.39411410308117,46.60942691187134,44.87244962038122,49.85980522062634,48.88793248872003,51.06946189177439,50.95569945691335,47.90761378636682,47.868180851771946,45.796775930700704,46.14563677770165,46.74196604925445,42.15223712818134,42.705654401048065,40.281362470275184,37.46575971721035,39.554130814843546,36.236384421852286,33.471118143395294,35.821479916904266,36.54325565111959,31.712621723476637,31.689618216360554,34.60905539511654,33.21559326647892,28.544838937041085,30.69111098021248,31.951090236882465,27.523383321682413,26.821032788494776,31.04185263652912,32.82017731479521,35.609720721618544,39.45086510543591,38.446723246635976,40.1032038723176,45.1396754374469,47.24226796676592,49.84877973753566,49.15286667603701,48.2016482136641,49.97167205648953,47.14696427473658,51.925450935293135,51.79569097828373,46.222181099801325,48.49543840385228,52.90496451883052,49.6787680856495,47.30948293787967,50.64506962678639,52.09157482329638,48.18888492116432,46.563757277474686,42.93450778077824,43.13763050818115,45.42093416511167,43.28205429908335,43.55974605130381,44.49037291470112,41.26638846331736,39.48022808007424,40.10454682232832,38.474191964775365,34.635982042441604,35.084370523301494,34.692384436817235,31.592252652764145,30.8823941626803,35.14582171992071,33.35434363448743,29.036349505504944,32.88149196043385,36.511572370213905,37.36689726962093,40.143537410653344,39.706246655473,44.10656956304366,42.935861780323066,38.58306586471589,42.56131883439752,44.798222221206316,42.05552001661388,41.607860696594734,47.47044694628343,46.984817715834325,42.620159260020706,45.21949443946258,49.856465967643416,48.484184077777876,45.14685035879507,40.64948029563754,45.03785501883337,41.32788224765422,40.67741694949576,35.627508111122594,34.30212851470631,29.28302551249648,31.003225540209737,33.23209258073644,37.03921261643089,37.01351144569296,37.08120038100089,32.607811779449364,34.61543641041853,30.09203287861677,27.904055109630757,29.288451972899793,30.110634427792174,27.894844318899555,25.151188981717898,25.704616487384456,24.45112087995657,21.000994869735642,20.477198208827456,22.297905037138936,20.000909070017595,17.39264787540416,16.8568514834208,17.979636310059504],[22.444570230201307,23.194975648861956,25.275849612435145,22.088363141207893,25.355460603890762,19.956474324495197,19.78258595297308,20.512948907754634,16.13059563438995,17.321883479628866,16.45165109067525,18.427137703330075,21.47588619165974,18.319525887424234,21.058478999119387,24.0030027693623,24.82444336633497,28.052118611328343,31.009977795584984,34.23199684238882,37.1639658197271,41.64552215274689,42.25535642673513,42.61147887966585,40.40175815558029,35.94826558164229,34.57623068868514,30.480414582430548,29.72528532964823,28.696455336070013,28.185316847824023,28.908240646725677,30.38397031898736,34.0976398221094,33.83805661078671,33.18296246611573,33.51913106151489,35.58162432829572,36.80484606215773,43.002524217875504,41.432321821793764,39.747493739586965,44.00744804326042,45.08515525657045,46.978163634795465,48.11880780894849,51.644620736561556,49.80720514479673,47.87795188488986,52.477839362365295,52.59755969682902,52.552030700472166,52.812114754212416,47.552536457912396,50.896723663063824,53.224991141231214,49.38212176032341,47.136983566420255,51.57889196214901,52.45616790257278,47.32884349134375,46.89401999813087,43.83238206836196,45.2991136344036,44.65408654162119,41.04285653709474,36.94576493433872,33.356510630669966,30.45545106146052,26.651373011205298,26.198705149267397,26.866000794396733,28.540989159868776,33.16206653085211,32.54054595883889,38.28005921321966,39.031435366294225,40.87288912890217,41.399139724227354,44.009144928367824,42.6414358058226,44.10126935474987,41.800560925061966,43.960449910273155,41.703351475347496,38.73083230931027,39.40595648295446,38.64832925912873,37.404620565389834,38.16930787438867,35.02911751593755,36.24438112164137,32.287240613876996,30.0472119252974,26.028766333375234,24.27093385213066,20.760334360786015,24.91998083141966,23.482078515541403,25.236785156209532,28.7568435547915,30.140706620843538,32.761391166864684,33.16034533451452,38.150247941319115,34.77222094269492,38.28449784618094,38.98365392446099,35.61802979322131,33.75886505394925,29.52559586384822,28.864678395154908,24.157594518780524,25.607970079435127,23.166792573611193,24.669528536771512,26.232743264038476,28.191400618186147,29.61739113204531,26.419180945952967,23.882427554237903,21.414425173226547,22.331275387791067,21.4338534054266,20.308890225558315,25.29847665843075,25.246595312718437,29.05930990716909,32.33118402015495,35.734372359303954,37.61115708406993,41.47589916432119,42.13406456431887,41.100570597390345,38.392675343854464,33.967882225496,34.338103584703454,31.682572367009616,29.711846399009918,30.951773761577225,32.439300598353874,35.97373717294359,33.31817337327533,31.836769189141695,34.19327305775574,31.19953364535304,29.105583088710794,27.332479051658957,27.67110061165085,23.76855715184409,25.72828338828369,22.101802029505667,26.130319027099894,22.86660619071041,22.73896020821183,25.343320897143084,24.37184821963911,27.47735313216426,27.75047848171378,30.71503560707112,32.09716033697475,33.03916734732664,33.52921175758418,37.3531617632235,39.64187391165845,38.515609456786954,41.61743917275363,44.07694394510341,42.08104258604695,38.24247561898361,38.14021437905728,35.19266208416721,37.510409554129325,37.51414358635218,36.97282886989223,36.90075928786752,33.69130755485358,38.79164514462272,39.81904556176349,41.45505536874534,41.43709170547952,38.159081638788884,43.52905288001602,46.47332309857577,43.826807065507936,45.68093044632197,43.63563798347706,48.58447767968667,47.19103597367088,49.73941030628375,49.74612422712128,46.932840991670375,47.13498920983576,45.31284997785081,45.96584807871446,46.839471503186196,42.32949887648543,43.30584433560619,41.10292455873853,38.523829127178104,41.02877331798134,37.96309466909596,34.87218260802974,37.25917647680701,38.47590715667762,33.6665177224271,33.09035496481961,36.47119341551554,35.6654330349706,30.636324792016804,32.688082469194384,34.3972478086283,30.13946087905695,28.928691340868507,33.279401265918324,34.725756402071845,38.01813127631617,41.1178673436309,40.35021601580323,42.38098612371129,47.37068749273749,49.78250429559311,52.209827533577815,51.66126037335944,50.49565327622002,52.26750552356085,49.30075010399384,53.942870235712306,53.793188398398485,47.992084483979305,50.17658293427141,54.46391306795089,51.10389639779129,48.58297034894077,51.76039723109192,53.11502367794415,49.1644028507068,47.2353258230945,43.989341261300105,44.31337023057944,46.86793794086107,45.14203361881522,45.55063287307053,46.89872266050504,43.49498290643351,41.47280679982837,42.602318120875154,41.14329955068508,37.00972626527602,37.53284422622236,37.61124320701548,34.59613262265728,33.62793956546508,38.134510874340805,36.654849265898726,32.26615920338521,35.89105989694768,39.660924561084514,40.19830564596405,42.955047887460175,42.27252730544424,46.62218895177431,45.522911527287214,40.850589462308086,44.68475248864275,46.92243706081161,44.08268846657512,43.26933154710703,49.23089856062124,48.68233843713401,44.03387493396626,46.46189604735118,51.24575071424657,49.76646275593726,46.22978079043199,41.62260155672643,45.87400544806915,41.99559315895181,41.86283412824012,36.60948234388735,35.59802420112849,30.58959014272683,31.753880827695347,33.87958531651826,37.54890836766221,37.47695001645609,38.018540041928915,33.34719197006124,35.4188143795634,30.63598649999801,29.133461296841222,30.91046445934001,32.224554626611635,30.046655954812437,26.829743632925492,27.8990509244642,27.14693580313541,23.042509936319174,22.53917137299704,25.0891263653259,23.173829567199686,20.655290519044588,20.17533845929415,21.230054366184767],[27.99890611122083,28.77337199557178,30.46042800593088,27.71668587938858,30.111128733792917,24.274780323496294,23.383917586185344,22.890059369985206,18.302347002631073,19.016093046460995,16.78559443975051,17.8603134940421,21.760387211640246,18.915217885204594,19.92725509830732,23.003574553582794,24.913880835337203,27.401788068444258,30.741133200219803,33.77104641238265,36.60071569650883,41.06513686746004,41.823131835823425,42.7698298671377,40.68814987468347,36.34463261195147,35.10366315605327,31.16424703491788,29.594264330055008,28.186075682712058,26.171337904625588,27.248724532343314,27.687186088350817,31.227496506386082,31.853834546206464,31.828633697960548,32.59939656447824,35.35715229214191,37.20905636765122,43.27398394041764,42.212871371866704,39.754210862611025,43.75418376657806,45.432779382162536,47.37432602139883,49.02781687794618,52.29707426287109,50.17502788356325,48.8816183973187,53.521788287817834,53.05632137833241,53.080148790117725,52.86615912059687,47.710118726877866,50.31162638001793,52.61035035399811,48.92776300444351,46.131155665742114,50.264272357922856,51.57966242669889,46.31557526359314,45.13260263657516,41.72706833058711,43.280155807049375,43.28995705664553,39.73330647166259,35.59864422145848,31.830032938851613,29.316782039612345,25.086000963107338,25.06566809511769,25.128561477439412,26.210770062460714,31.06228659094796,30.15571649871653,35.26153941022232,36.768571286694375,38.01713252302509,39.18224902676712,42.32662197363999,41.21431707818111,43.43495210090054,41.18956761241136,43.991296514943116,42.15737500979406,38.57857838419129,38.751205114546266,37.34222132927705,35.880705668635066,35.5961126731223,32.386376440614804,32.83459687086381,28.86484798499531,26.6119915801974,23.29034575407165,20.709078703294317,18.117244351634728,22.355013518696634,21.648750743536183,23.391401605594947,27.24877893661152,29.634266910600548,32.25279991888026,33.65127705249728,39.13352888261833,36.45257113233579,40.133460822255955,41.499544988951136,38.59999908094401,36.117374587076064,32.40581822553605,31.34356683558812,26.73295560253114,28.304129181782272,25.153896442685596,27.11897926589456,27.780307932880934,30.295571855406493,30.531060778652144,26.8281487225354,24.968048851885616,22.925199654197478,25.129295800532155,24.546787992615332,23.763090149329837,28.878425481147588,28.951436232787717,32.44395962338279,35.673135214560396,38.39548313759069,41.0893646435695,44.578117526592976,45.1837225623878,43.46347996951985,41.37513623820287,37.01919232896004,38.32512462609838,35.38450217490431,33.42193444906801,33.9272160639216,35.49620156553205,38.313974840198796,35.1153254749907,33.85402401634448,35.61456982037645,32.169640943834885,30.66665241521149,28.569458438666548,29.151172812490536,25.326785707643193,27.254487186453016,23.02835553164151,26.410402898899985,22.66276335434103,21.678171806803412,24.6786391992582,24.140201296208375,27.912637819840402,27.880412311768918,31.90821719534352,33.824066554981684,33.92371641133929,35.44106003024046,38.6695937310741,41.778138335283714,41.470258676015675,44.584640754351476,47.43832149256592,45.836904904466785,41.92580755812829,41.54236224146692,38.218081514753905,39.76696829284894,39.18356610484226,37.9814619345561,37.49717218095734,33.74420912646237,38.488057223186914,40.08632094006265,41.994874234761575,42.73972867245435,39.76596906801993,45.3856308250905,48.479072173304374,45.92798189381052,47.177902132508464,44.77603149134915,49.986643444177574,48.966749629770895,51.71679632189458,52.17509673102597,49.31506441042517,50.042946165917385,48.448498077670685,49.2081154058846,50.39112814177695,46.134800250145545,47.05661798264482,45.2300830463543,42.198380461400596,44.90921801190826,41.45485770748526,38.6426936108741,41.647608768471436,42.57851376123854,37.76048971218336,38.01336090375028,41.24537916635731,39.846609400387585,35.414033487786476,37.849736764599726,39.28595934357707,34.83950061232177,34.337103227612815,38.756427827358365,40.30457382506566,43.24577123945372,46.77458795143824,45.58706596945974,47.389944238475785,52.235723337319385,54.55486557507002,56.842569025708,55.81879925658179,54.535395953574934,55.94479443358757,52.69925555834652,57.40790959326899,57.73138201947489,52.02091858801145,53.81025242526384,58.41604330066165,55.417691155189225,52.667475419200564,55.6195281640288,57.55539073006466,53.81060180199721,51.3857869539769,48.25875670805013,47.74941949628581,50.2331393855096,48.50175390491455,48.31885734933023,49.44687484037809,45.70953556572918,44.33529637649644,45.54559119031085,43.471092955098946,39.604169861684085,40.817275437234194,40.53050523971588,37.41737697366849,37.19047511547992,41.62497650965071,39.85659186362389,35.846821770389845,39.952676038794195,43.530298038589045,44.354261497747046,46.76852620037886,45.90022772999212,50.34701163695263,49.70542491211614,45.22815485584897,48.79506599744704,51.425215990604826,48.84926907158348,47.910147745649276,53.82109975124987,53.75482244099725,49.209318458061176,51.33524170295563,56.25816753013628,55.165541180739986,51.707498655867056,47.249854047478074,51.74578894074479,48.071797656364396,47.844165285950965,42.62930628119804,41.191147827614486,36.1816844347347,37.77769030405933,39.67142541880991,43.36647714622247,42.934451596090014,43.088430989607296,38.118622171035284,39.596530865891964,34.749272364452935,33.392778044864656,34.18989366869058,35.43524496213294,32.57004996700791,30.21427912539981,31.77512233391695,30.27124849705191,26.098851871639603,26.869297268091128,29.068911152151728,26.305302565578994,23.504757988769178,22.2656932403703,22.64503391206384],[27.785255629876342,28.314665655786193,30.080806578013835,26.415798812134003,29.192252925629226,24.1652263352691,23.24175266871188,23.847811280684365,19.069626580946714,19.01364990828873,17.44682850212336,19.79112176767316,22.374518949461233,18.56256067651515,20.538694435943007,23.840866752151477,24.634850763210217,27.052104518019238,29.512822823393908,33.1113754428898,35.571954358732995,40.215662887856844,40.512306972840676,41.00336003634808,39.24147038665321,34.769211208251114,33.982667736082576,30.135267923212023,29.376439478945308,28.806730894445426,27.14165442413335,28.93202349676533,29.97597802846726,33.140776961970325,33.32675775308643,32.51756223402,33.63990779814526,35.36666570702998,36.86156586804305,43.15241067016863,41.22939793389281,38.99924133767644,43.24216884161617,44.46474123625646,46.009839916713474,47.32052175522239,50.75168640277372,49.10514047406234,47.57805575422377,52.314413738786996,52.350641506443225,52.642748661353124,52.714823108184646,47.48329087912111,50.70152425927501,52.62325686006952,48.63300928536227,46.3964083750805,50.61409634711852,51.29834191269745,45.983122262649744,45.19540851838425,42.13847984183807,43.09360420228742,42.800171946856274,39.542026093706774,34.91452913007317,31.58759865327428,28.291063555821115,24.53785203341551,23.758567635177425,23.67101797756871,25.718892751340228,30.396745028634513,30.356979879772524,35.880789001764924,37.264299265406116,39.179172475635326,40.164290209678065,43.008491584428675,42.24817758277933,44.07722021607413,42.32524459764416,44.704884183825996,42.35740934887639,39.10472331761695,39.0949219137998,38.49320907518892,36.49484015206919,37.086004180314816,33.511156534699765,34.12098499206274,30.3463763838714,28.598701565944317,24.98360451885794,22.806943857797943,19.769935279988093,24.797026045295162,24.196996381126237,26.803790451522868,29.75463758742402,32.16830018025163,34.158848126572195,35.421969362785916,40.37577499798334,37.45661358675709,41.309886252513955,42.15260620725388,39.12334733913347,37.11033353600062,32.994221517286704,31.602477303186653,26.863247027978158,27.68200577643954,24.39168249671211,25.56251482766713,26.30021062162571,28.072393343602627,28.423424623121814,25.447339063439884,23.00167841127559,21.240060066532063,22.718325463429764,22.667489633766298,22.475037886601584,27.61820489055051,28.58729907018026,31.9927048854413,35.4995296769344,38.54484049567812,40.712402610415886,44.57126958015482,44.78251972198837,43.624011195504174,40.79566935856497,36.299710098164866,37.084262304636916,33.82421446336275,31.381608206584545,32.15940807587494,32.93485213612364,35.967501915535564,33.17012530920846,32.23653169929646,34.4154840220466,31.573538479073548,29.87641877926101,28.516379867437426,29.519301753564395,26.021016608884917,28.611550779343442,25.057931684147714,29.192097889283964,26.19572933343963,25.206148032649754,27.58799375649246,26.262922122445385,29.79952658770649,29.271356770665843,32.881204656879206,33.8347731940413,33.96549048504782,34.53007259104752,38.152050601282575,40.757923508711514,39.73913756338109,43.22979282559157,45.63939211629955,44.101512894795704,40.07331135156583,40.161880765650366,36.92341593292882,39.08858070536024,39.03062260892943,38.288602666658626,38.43317995114921,34.79481554723396,39.97589492099311,40.85037916144053,42.88393375241838,42.85013550185948,40.21364778316343,45.54065642557645,48.3655874122682,45.526020953493536,46.73961481240067,44.228769987543416,49.22424867307089,47.56031589246707,50.57440341781675,50.905367332160694,48.32942162187491,48.99713631675577,47.52426650739874,48.50374625426911,49.751624789194395,45.44269295273938,46.75831842261499,44.897603508088885,42.35321527776172,45.24806480531258,42.23773376811873,39.02640803877816,41.65362983620153,43.12118143777447,38.34209585405234,37.66583977779649,41.301125814842514,40.687463348435706,35.642380531385186,37.73668198322794,39.63160515872862,35.425992423686054,34.119495184344515,38.532849608672805,39.80865162253314,43.30064383561409,46.03889331854147,45.32766388623389,47.52892395571942,52.439868516455235,55.01166175849734,57.28782291175029,56.68928840465836,55.34189667044017,56.985276363218574,53.81967297368763,58.37878154814503,58.388050279978344,52.46403375633402,54.43021495984937,58.72977760460711,55.40533353044073,52.69098497205764,55.64568933212993,57.134305093070545,53.23156773375424,50.88005483164877,48.010297264587805,48.11446910717505,50.84689103060189,49.44037270511822,49.71468555968233,51.275412671838794,47.61529606057115,45.6859574099391,47.20039680902073,45.6182952523836,41.3971011761274,42.23436218781677,42.47485689893237,39.473987517114594,38.62179588226136,43.24372445664776,41.834838972178225,37.53031631763596,41.19528464924348,44.97996282537413,45.433064796690836,48.067641787542286,47.16889681331244,51.51435332839173,50.615989240770624,45.80936756839342,49.44828283704185,51.81245992141781,48.99613173076686,47.88807410200341,53.88635873834794,53.44463286775275,48.63743122146272,50.82984090451571,55.75331348307356,54.313415120827266,50.6617171531299,46.03732191260929,50.21874121536087,46.28088032250912,46.51730550011445,41.16058275877542,40.280861878293635,35.31783010085219,36.180106120730585,38.14862373513401,41.680731052254885,41.46768192925254,42.26032695418686,37.36955758487864,39.25786411001785,34.28657835982508,33.38554969445923,35.062871436041355,36.688355938066856,34.27561900991981,31.09173540930713,32.68030722957247,31.960414327290774,27.446255435984074,27.42939091692686,30.258375846034937,28.242762011644665,25.652116870274593,24.889597114343932,25.63694578003158],[32.268821844663734,32.842145439749544,34.53325594341277,30.88072900815135,33.387932890249004,28.344638551313725,27.106676010962023,27.351903673025607,22.484938980706914,21.97339642019962,19.83855356235715,21.947386926261903,24.56238645669477,20.706058298807122,21.729798308842902,25.13892110547431,26.246245347091552,27.970419855563033,30.223411679694927,33.91059012649028,36.03670744492871,40.712542613450225,40.86698929142829,41.607190336121086,40.16223057628805,35.76930684677748,35.34861158568512,31.73383939396964,30.741434771065038,30.27667710247379,27.576648950103312,29.974629032422673,30.42346781425765,33.19539535664878,33.927943924458184,33.27364185502315,34.90201230367674,36.67429384639027,38.47538872462705,44.70760421073297,42.781376749764334,40.064641172255286,44.17587751556086,45.645422938549075,47.00315260063254,48.538859307715626,51.820279245343556,50.21027387696979,49.08525007355599,53.871529353511924,53.698081690625585,54.17834686798979,54.01330746415604,48.86313908082281,51.762720177968546,53.45687858120593,49.467899859079445,47.07470107856139,51.041019156007714,51.759870425321715,46.33622719790881,45.10498830863704,41.95924592261137,42.63071486388615,42.773122178942614,39.771074900360546,34.87528874369964,31.697832629036046,28.351562849944422,24.578669717384102,23.755317366747494,22.938309352643365,24.996513090257405,29.699874658539734,29.93946172553649,35.01364394678545,37.039285291839036,38.75805700648036,40.22135018437558,43.35076004300112,42.99563636102923,45.243441995801234,43.77512762397311,46.442622915348664,44.20676112506738,40.66763057876787,40.17379629886103,39.43594263233041,37.01077523326167,37.12985618892304,33.342013248187,33.29795382682706,29.687696671497925,28.25387540193643,25.20965193366406,22.55497457492813,20.234599211195544,25.54294352860519,25.57297424034047,28.41480069586875,31.238428279979445,34.325434203751776,36.077647465739936,37.95853346898207,43.023257594190596,40.487497325398074,44.47617963310433,45.55792035210474,42.76660867320848,40.5395466982343,36.62054043947346,34.920436284558875,30.237690421775678,30.882598391052923,27.15087391406957,28.291385345133378,28.415326887278887,30.2082671564776,29.67373310186812,26.744575707391856,24.609333235265584,23.367763905048616,25.384506503845635,25.755163429379376,25.968989984436952,31.124345699949213,32.419394414758834,35.609482504591924,39.15697264773988,41.894745796167854,44.364509036947744,48.10976894392934,48.15617632875188,46.770467892421,44.082290513886576,39.606101388366184,40.75935952140008,37.239793694104804,34.64093351403169,35.04881737228552,35.51591273413198,38.094077337772426,35.12533756056982,34.526655923509686,36.431858739492355,33.570988944731226,32.24172910807646,30.977247450250935,32.28187861830677,28.982758822231663,31.716502041071408,28.029269449209043,31.929332318133852,28.83819413761232,27.38363860045889,29.813869316213186,28.55193504769478,32.391099308655264,31.507982165426757,35.63044456011651,36.58272077283957,36.145217356185356,37.0294535598408,40.35928546864844,43.30871288365581,42.556038054652845,46.19076393783573,48.66083276653899,47.41507900694345,43.31702037785164,43.41501111960184,39.99228009684915,41.87806356739051,41.631518410811466,40.620976479972434,40.722054151376994,36.77913806832119,41.8245632732222,42.81555097639684,45.080594954450405,45.274581274991284,42.99267554187743,48.34659876264524,51.15469466617327,48.279333351841224,49.04568124420778,46.24175201650675,51.299685876107944,49.6210237778118,52.89073172203894,53.48604893518373,51.01705477993083,52.01605529319284,50.74743556360595,51.873652838735595,53.330372161109196,49.165892875070256,50.57267176731685,48.908351069279426,46.26287792276234,49.30343176921796,46.20206996143334,43.04301103921427,45.87544973761711,47.31751644617537,42.53860621497835,42.04203836520622,45.685346681149156,44.943949286492256,40.03644158806926,42.215015227943425,44.05719565030469,39.796759174816145,38.62953711444518,43.04855022574342,44.354796085507296,47.785999995188334,50.59443116781518,49.823953751719635,51.99162251278258,56.87486465600949,59.429296921081566,61.675040197034235,60.953905504069255,59.5558546717811,61.080322545269134,57.80085037564024,62.36170684706023,62.534247529388885,56.610019250295515,58.42204104445009,62.80799688100391,59.58411925732484,56.766363761327064,59.60215005372963,61.26873174407833,57.42865882306494,54.84407730551908,52.11209545294624,51.94424144618429,54.7004026096308,53.368332963176435,53.43878182990488,54.970422614512955,51.15728673808162,49.45273679724924,51.05672481717451,49.257079154519076,45.1145116296253,46.208555857872,46.346310711905495,43.31103153969951,42.69876740475213,47.30358786700871,45.78988133541134,41.59322136842573,45.40932028870422,49.14016944390709,49.68854753487962,52.23229329147137,51.26786350164471,55.64382526869791,54.886885520664265,50.1174115656932,53.66696666543914,56.14882526771355,53.39457246563368,52.21294632198391,58.20762929707716,57.8879629622291,53.07193795465809,55.153986677683726,60.13630361325848,58.77671408864402,55.114421384422194,50.51039055664265,54.706095814542074,50.776399064779,51.075832235888626,45.70716634719225,44.798056712145666,39.83881634133391,40.70686861044774,42.616313246858866,46.11670436899089,45.81373145507427,46.59769374854322,41.59747856482054,43.301276695661294,38.27643187709896,37.54962083718905,38.9488041425585,40.60809604235939,37.95312003535813,35.031139315140024,36.826129159448236,35.88808729024779,31.31556270866034,31.69223970608685,34.43774952041417,32.157988249365005,29.464337445378543,28.43706355987989,28.920070029815243],[33.51565879538064,34.57965438036964,36.73370520696131,33.562634429568476,36.48123892996996,31.013309810949387,30.214447303759307,30.167657379549677,25.454744720995286,25.61925957626402,23.377749187505607,24.881962649484578,28.23277364922634,24.774294959896825,25.54077121616363,28.853769808924927,30.429806528507346,32.22354865869887,34.76836759235646,38.2863235167126,40.50413992774268,45.1297617545934,45.39862252820083,46.28695783606034,44.79246928028169,40.43255896003938,39.882229054114916,36.21269281857416,34.943754505579165,34.102799579373496,31.2216912443592,33.26380684068634,33.31987868721464,36.27030688610123,37.32878390726094,37.08936336280024,38.54586047030066,40.80424888484724,42.73329755318828,48.89382605946052,47.27933252432029,44.49361703464767,48.52050994312474,50.1537871195314,51.62129616777576,53.24980029386835,56.48645905280457,54.749123115953545,53.69133021530328,58.44483097909497,58.1232431298239,58.50008517440659,58.23497113884806,53.10830862305331,55.748312427044645,57.59834683106698,53.72928257210846,51.092130309528045,54.99305756592752,55.976522917950945,50.55482660547403,49.080958243978166,45.76693151869651,46.60587568038887,46.976312491282954,43.915255445341465,39.146770773252825,35.83958636063242,32.75394821194974,28.817261493698343,28.228623285900934,27.278811228314837,29.03708439640265,33.79627127942531,33.786375503759615,38.524221160906805,40.801587742467625,42.14163854971529,43.810992036875504,47.13662836726921,46.648583414989034,49.10573422553545,47.368675612340695,50.22868904228836,48.22005513733013,44.55809819417118,44.16916340359016,43.03187370577383,40.84713248324988,40.447327547700795,36.81350051027886,36.49411746383741,32.83858707759063,31.202221856868412,28.4424924796352,25.46417319548989,23.505783022597587,28.36020006200243,28.28866285210346,30.420578140642885,33.968526236889126,36.865884236850825,39.13119948909198,40.89905807875356,46.265159860887486,43.675286277555806,47.475814552672766,48.717171948666646,45.7938351524943,43.45292187602031,39.604861202256686,38.330728882707476,33.6510474791489,34.74372964248734,31.244290974319885,32.65972457875647,32.93605186238423,34.90911669409532,34.4459476775515,31.32980084877654,29.31027871238096,27.906863903025425,29.949077763545823,30.038414641669803,29.85546735504628,35.02746770418565,35.705804860737956,39.14573523281034,42.54351694322018,45.36456702528773,47.86736300086168,51.53652966105734,51.886482757392315,50.37440582905005,47.931082429239375,43.483747324674965,44.56656135941451,41.318029603906005,38.91700234799227,39.44451052229712,40.17507869002562,42.843045325261755,39.820321342285844,39.075084160609606,40.9252305628523,37.85407236430814,36.505884864162745,34.917145371425356,35.92320301852626,32.34275866489382,34.60597583247825,30.51843949836078,33.95564332913532,30.150401009837054,29.06549432041067,32.02951644419018,31.337033436135386,35.21716437191239,34.7839387243524,38.96863064210096,40.41782292169334,40.143675311481786,41.31857577138884,44.59423750211808,47.63884930063986,46.996121303487605,50.48019715970064,53.0431400832831,51.62668752669038,47.58715732488921,47.559436739625546,44.1970195063012,46.001183207852335,45.61139053626723,44.47309782811368,44.26545092244614,40.32819812180605,45.159775613322246,46.533385522461614,48.68352689643976,49.20362901314025,46.62473742746328,52.125050403606764,55.06965691393948,52.32546915557889,53.24811978806487,50.54100636081279,55.67310821727606,54.19635575458697,57.34285414277947,57.90664565592371,55.30890697039305,56.19573016540497,54.77881864340501,55.73861030149786,57.0248935949438,52.75443879890323,53.90248826729609,52.029207234460394,49.235341551163714,51.96292843852415,48.66777743394261,45.7169952813323,48.46341267297501,49.54557161822419,44.71617392459123,44.50341419810009,47.818497802940925,46.65101915455784,41.91647871874748,44.059391156608974,45.5384410712651,41.1506403702917,40.209288625721136,44.43496249173011,46.08117890771578,49.13250602207518,52.562271679376224,51.76793660720153,53.63429944234218,58.645625220918916,60.85788816012938,63.39051139410522,62.64237829048603,61.49901489292624,63.083287763140426,59.95975348322798,64.65997339357372,64.79751153927563,59.04503656783776,60.99011770080849,65.46524694733895,62.28486313119016,59.61095446896461,62.61153569094585,64.27590790049865,60.411739556884406,58.1143596676171,55.06823734314073,54.89351024496562,57.46111067247727,55.77638180998631,55.75011658575708,56.90061263011597,53.23025245959016,51.73943309462207,52.88246539839935,50.90619557908927,47.03457815872168,48.045992145937525,47.72475877832155,44.59572071634253,44.19827442775571,48.54933314618527,46.691221953275615,42.52935659862706,46.50310679613998,50.097228816668746,50.98019205521503,53.633828630062524,52.970705832342375,57.397765090356515,56.46860481418712,51.98453306722484,55.74849334869429,58.150806437797165,55.40798602191164,54.60225167099409,60.54841754949819,60.13903581128366,55.52450182172992,57.85742668643592,62.69961576341006,61.28570242249994,57.74299474213739,53.13378584814448,57.33778582338,53.39519479291109,53.31203354210002,48.06799959182292,47.12348868627133,42.11099439117682,43.20756584620116,45.344350800556164,48.96684436860605,48.84525460503308,49.422711291210675,44.58687363889123,46.37058214566637,41.46089878669588,40.22758591518076,41.44061583213075,42.71876463615161,40.013087477547245,37.42262752588493,38.77786634449674,37.44630720108792,33.379878012528046,33.630353070102764,35.7962159188779,33.22811700396276,30.43856133900831,29.292156986421723,29.684867556547243],[29.504334431308642,30.677856135413567,33.101566091780505,29.929927651480124,33.30969724182631,27.92650283411417,27.571907793200843,27.95268906236486,23.372311888287395,23.991553984827284,22.305132688342972,24.0467505591345,27.332557751464893,23.850166741588154,25.474729525630586,28.733725237253257,29.95043315369685,32.30785237178306,34.903718139822246,38.442736338991246,40.88315783260154,45.52182003332963,45.83191365525278,46.437397589550386,44.73713166023754,40.28623601364886,39.503944555294616,35.65189321042534,34.68156387959188,33.83423757534622,31.838001126466267,33.43997343330686,34.04457088246792,37.31814468928368,37.88488477552071,37.440923350283676,38.50187234546592,40.62354055664379,42.24571221842946,48.48636410496346,46.75945243649745,44.4245048946359,48.60233255688386,49.958328086267265,51.52270176605423,52.89756869908286,56.29196579196914,54.60409063180088,53.154157470800286,57.87976922744907,57.822743820678035,58.0696400759715,58.05463165900278,52.844010292141455,55.84301232908846,57.847975977141466,53.93172255363842,51.49731524772404,55.63140221071351,56.50259824937435,51.155051487178156,50.10019572847564,46.89479461033422,47.88473165574797,47.857148207464036,44.6203234898312,39.97902061296961,36.60176153046061,33.42302463632472,29.546718654675704,28.87151919535045,28.427846452101807,30.35939284860443,35.11395427551241,35.014922755803426,40.19843415855732,41.95614182481602,43.542643562532106,44.80395336569934,47.86825280409801,47.070422204670585,49.127498011155055,47.18036967031701,49.7447233029985,47.58347144191559,44.21145846092472,44.22784061148163,43.28660090690775,41.405180714670806,41.48874217673403,37.97436553068364,38.201885981921755,34.4057341888177,32.54907194457133,29.27153765969336,26.681104821759774,24.0846941150689,28.802539531621722,28.184138132303097,30.10319789368692,33.791785040556405,36.053812448967165,38.54532565297608,39.70645965630461,44.943129280210634,41.94914965732724,45.599378144242266,46.556172853385284,43.35749870276528,41.28387069336411,37.21060534763676,36.28209048475169,31.557676076706784,32.77525875897549,29.711687933569753,31.05249983610861,31.880148299398602,33.708634997364456,34.002946592589645,30.96813845015096,28.611852441519268,26.83459241354207,28.28969682753682,28.076813249106618,27.56513245933339,32.675311774001194,33.05512285522652,36.71910182967843,40.07143115700105,43.249546695372345,45.36477863246055,49.181007724365465,49.68100099128771,48.46579810590104,45.81444086519998,41.350193404485005,41.962103772731695,38.9760687154594,36.67901847551537,37.612110044945624,38.48712647986173,41.596105964824076,38.80585952432609,37.82194696699398,39.97216727963019,37.002552358100985,35.306670245552,33.709864073283484,34.45775518318364,30.706327964858197,32.822596769177224,28.86599309386027,32.514607362097,28.70940506827755,28.159337218442705,31.128613860179147,30.388970411769833,33.97048704989786,33.87537418063264,37.54048968114976,38.92823518566167,39.193518206715424,39.9660542855858,43.55223372907755,46.20575949616316,45.203744269118616,48.59154291934066,51.013866705242954,49.31104795087038,45.34360380453736,45.3799967351346,42.233785408741625,44.3856942794301,44.23692752873351,43.400152587558026,43.28188142192743,39.63907971094144,44.627225171592144,45.84261312147075,47.783542617263905,48.019515777767886,45.12457264963581,50.56483823852805,53.496353542899776,50.76189675119696,52.11144667780079,49.66730885947302,54.70774047161742,53.15035499951352,56.09435423452234,56.38281829889053,53.7292310242201,54.27594161965587,52.66701466334584,53.493394430753696,54.54981706496115,50.121153009398476,51.191061625450345,49.0700439560279,46.44311158796414,48.96569974958804,45.80162123041991,42.7924161035023,45.22249055753729,46.32465762739989,41.500677130713065,41.008232588626306,44.27801823354856,43.26468824234885,38.33298687249342,40.29392127129332,41.791816749280805,37.47191683599002,36.294829845140676,40.42743587490149,42.106223285347475,45.20021541759655,48.59083724046404,47.96463505125888,49.84727573254066,54.93804559401129,57.11004835951669,59.76268523977687,59.226812894839206,58.20366135809471,59.973805049378555,57.03207207816906,61.73281997294936,61.63077140619389,55.89419857591795,58.06450159804161,62.40614634013633,59.07403453255223,56.559413729540964,59.71718253891324,61.10287404519861,57.14526440374125,55.183596584286114,51.97852852743332,52.19613531149011,54.73208168111856,52.944055296524226,53.18217720886169,54.33740457090602,50.87540719269687,49.1200418793706,50.096119118214375,48.379874293516544,44.44678001522503,45.10312833270788,44.84211701490697,41.73935297380594,41.04760504316187,45.36495009112254,43.569140162423054,39.2437464973132,43.02782026223118,46.67376785044274,47.49606600852767,50.326667380000906,49.823506767200314,54.210320666400584,53.02742076605579,48.53514790323863,52.46789288190702,54.663930980928114,51.813247685481166,51.16916235427101,57.10805253323078,56.46157105877769,51.873845314793904,54.40620209419483,59.131926554048405,57.54114828867783,54.01288165836602,49.357938431197965,53.45684421784321,49.448340677751254,49.285172937951444,44.08276135490623,43.297471505163855,38.2974271128432,39.28921237817253,41.5733467398242,45.20841263639107,45.29066885092519,45.95576962257429,41.32426749667508,43.38845402437579,38.56744311703973,37.10651944646725,38.69761827721844,39.89355282479966,37.49951615786629,34.612331962319814,35.61908742039476,34.523156127011674,30.63290384668827,30.301188707684414,32.45107746488348,30.187467198435243,27.503626738703492,26.661984785346004,27.3509619890418],[25.971441096847208,27.378720922149405,29.9819782259334,27.370511508648068,30.91938294735979,25.177400665644853,25.27218063718119,25.457818050241745,21.19967448585679,22.652755537852446,21.207833474379758,22.488602898587214,26.293189609571932,23.35309686478763,25.239987050260833,28.264324925687287,29.710548714252198,32.57606737203393,35.66386830855431,38.880458982855565,41.704831567565414,46.22684862466012,46.83528645047581,47.45213853931685,45.39072703486607,40.95556136355354,39.714771598938825,35.67813224764345,34.543996413270186,33.25654903325591,31.894346389707252,32.7119343670284,33.4764877869131,37.17617906833796,37.53704173431058,37.33371705074641,37.84269772234322,40.377410092862675,41.9097863895971,48.05522382455424,46.72517088736146,44.67409583636632,48.825529142109424,50.18882067384762,52.061433676095874,53.4090853858698,56.83644556903636,54.9193319532065,53.26574913256902,57.89230291601549,57.77720627310253,57.753679775880826,57.79595050229812,52.5768144582059,55.53155117677869,57.87789599315816,54.11254645706953,51.55452261820615,55.82541437790994,56.95127438650183,51.722593596222026,50.819923294897116,47.53515092752886,48.98325052773265,48.7778673697232,45.23850959502734,41.013019312113485,37.361042972720554,34.554036994105466,30.519398629303716,30.1775106396962,30.257837332318477,31.80066580523433,36.5979248530964,35.95743140292745,41.25000499175999,42.61039876770935,44.036864866281434,45.02950056472162,48.004742905996515,46.74644035554913,48.648822860537564,46.25624322922398,48.77035455926407,46.773060655687814,43.50427585286266,43.982505324958176,42.783396298609205,41.47835272038801,41.514285517233155,38.33698497055182,38.94563649352515,34.975936333394245,32.70135677772083,29.195049094745446,26.79752317325323,23.951292979931964,28.021771269139126,26.871729292181985,28.085692588875098,32.30655838307804,33.92398658742345,36.93030032369805,37.59051672760926,42.95129384331325,39.74131805240796,43.130831544087705,44.11796327852463,40.75777650098978,38.67652300910488,34.650390120185776,34.23710922352213,29.58747004891281,31.32530110275253,28.771675698078642,30.467115318646684,31.74314253925253,33.84802300963999,34.749134028210364,31.40695619668856,29.093124926334948,26.845532233908965,28.160321488181808,27.375038288677676,26.235937832518527,31.232753968997677,30.8237265808447,34.7218219026975,37.85461770411515,41.15701972271735,43.21318904115037,46.93293128225053,47.793712895295855,46.52729210394127,44.12484248197987,39.746698829636195,40.236702779072985,37.683633668389106,35.77092712101766,36.90238397098918,38.370262584545024,41.73084744191852,38.923657661227196,37.543315140377025,39.711656563886805,36.518731634050525,34.63009389356076,32.63955189955211,32.91292763580602,28.873209007831345,30.459022095467535,26.32785993062811,29.702405730669515,25.54974058751766,25.559651953015862,28.8002753837389,28.454341652989125,31.814296962385708,32.30495166994528,35.666536181071024,37.51457484046961,38.25139049912822,39.184661527505206,42.80630566935098,45.38088527511907,44.477248894957974,47.54649347594283,50.10141019864358,48.11311213281495,44.289625835571385,44.10259022151333,41.11107432504956,43.21045878687508,42.98209678362591,42.16645804417875,41.78251419563951,38.37986676914943,43.22224423189335,44.68243002791427,46.35128697507161,46.765176594381415,43.41256072464198,48.93358517922941,51.99396439457788,49.44504663724105,51.191282759994,49.054699139204956,54.11729040740211,52.86889443997711,55.470119461881815,55.58997708194669,52.72652267385694,53.00437241571554,51.15856444678067,51.735254932980396,52.547413831932865,48.02111267654005,48.78833573722062,46.474157572792386,43.71918594243553,45.94444281445616,42.65010019812455,39.82976491422548,42.1895126633605,42.99347092290714,38.16441890294154,37.9708301098494,40.95803749211961,39.621928360312175,34.884881089893064,36.88976247669188,38.13331146626682,33.73475898771851,32.83665453475611,36.89978924494205,38.76174927069538,41.56456810970479,45.389071739665084,44.60947025257761,46.27052954896369,51.38307771231581,53.37644285245401,56.1290092456986,55.52055573449122,54.635071119117775,56.425825344264815,53.60067645101051,58.37977966927658,58.25333644713071,52.66345810954099,54.92246594524442,59.319680310200255,56.05392170969026,53.65845744815426,56.94491868936321,58.35434613872916,54.41586064723248,52.70147095605778,49.21289458682,49.41700541037169,51.774492736860296,49.711060535200524,49.92219018536364,50.83007025273398,47.52583607233778,45.85365695738996,46.50084108393096,44.74602260935555,40.97594206652138,41.51917104977321,41.01153535569707,37.87966785994103,37.27934193638332,41.44839608215615,39.5075040751293,35.215472624249806,39.07841190198402,42.64644485291162,43.62653573116066,46.476673309085164,46.12977707267695,50.53164651004534,49.283078026260334,44.97938702808648,49.008373490337924,51.181444137220296,48.384881670935485,47.97573337362731,53.85009178612952,53.2311620643086,48.82420687168013,51.47958448550882,56.104166358913574,54.579870447739864,51.18243850441704,46.59640914250634,50.803951900848226,46.91340278769754,46.401427633893924,41.3206366683729,40.317132431161774,35.30456279308394,36.66195570387983,39.01361950128274,42.756579849836534,42.86996801827981,43.220302250649205,38.72693606899368,40.79210708231217,36.14099472235018,34.215021343185114,35.63987080485944,36.53362347212995,34.189828431896856,31.514376659589665,32.168702297364426,30.847043266109505,27.358926339786212,26.91648322552253,28.67218317374116,26.278659955661315,23.596258746630777,22.799538398343604,23.579449491275735],[24.849815074268545,26.053765816880592,28.74841537135505,25.46666452826762,29.395971222493028,24.316483003434318,24.503537658307952,25.542352511449117,21.24994532415424,22.31022106791322,21.444697071150266,23.526665323972612,26.457734928779374,22.995831966378415,25.63586536741872,28.737699562110937,29.400045753892083,32.34079573802779,34.874237123303736,38.40365450794011,41.03652803429963,45.63456766634313,45.96176651341482,46.20557303286319,44.3016611166819,39.803796142244906,38.79041854160537,34.804474797746906,34.26702936687143,33.50846294473592,32.599660462369435,33.74288960305666,35.018513135802685,38.545714430492254,38.50287942247775,37.75619320433261,38.38258974716931,40.210165680160735,41.42096948891134,47.69279522037354,45.785095766584526,44.02226454353283,48.34068903680748,49.32670841689063,50.96146991378991,52.00604874283055,55.56336256535324,53.97897110558315,52.07116311936788,56.729394783030045,57.016214482629266,57.13368351609106,57.431208767803554,52.16223058933369,55.60418340307284,57.73414854075574,53.773271250715645,51.64360954935488,56.01470210248013,56.69673098589074,51.48021104660256,50.950058688382676,47.9315308399247,49.0380662288784,48.53157946333375,45.15284134804456,40.69192599373758,37.323654152995125,34.057014670570545,30.380228463799316,29.583340407748274,29.72200925995071,31.839868731191892,36.47188151491659,36.328944614700994,41.9602419711181,43.09317613478228,44.996842937772136,45.76269558081705,48.46386694037501,47.35717220324435,48.894373873638834,46.78332789648652,48.93389148333992,46.566881547629144,43.60381922518687,44.06755796058234,43.44398716296053,41.88172408867822,42.59798818723561,39.23574077496064,40.086262039692976,36.21723175121759,34.20606254694585,30.409256679776316,28.36114166719055,25.122037174632784,29.612510534982395,28.420152955048188,30.18334203125054,33.796664859813994,35.3074174074578,37.915554868062216,38.353769381466016,43.29843688904224,39.84943917751994,43.31366457366558,43.86573127604275,40.36990395587198,38.68978512045426,34.35355513544931,33.794472204516275,29.091772700832724,30.34870823914563,27.872802671036997,29.021224217792067,30.500590495796338,32.064463246666094,33.26722336644179,30.44661008829129,27.727556372045445,25.576798558785867,26.214229039024335,25.665808923211983,24.807152933968126,29.723067008983044,29.83225216752429,33.69514811190835,36.98369726239712,40.57655625298583,42.161527036556144,46.15843868880007,46.776511594272215,45.97673172757495,43.02724537725037,38.57818716043502,38.57981696092671,35.908705738404684,33.73105585301311,35.15870926493753,36.14489787165083,39.747110545810266,37.30094524861736,36.07006025265944,38.569843185441954,35.820056241309615,33.73052996222555,32.22704152254368,32.700745462712746,28.87257750330934,30.858348963241134,27.253657041420738,31.183495072349253,27.635098279718424,27.672820418672654,30.45056059619053,29.55232089225223,32.67558138623803,32.90022787304868,35.84325974016256,37.0221920479773,37.91571265802308,38.11552273465239,42.048795204820536,44.16781223566768,42.6993179679925,45.968674943606636,48.171459913147494,46.154317369639514,42.297087267492955,42.44676339362452,39.59698155319926,42.187291918714564,42.372936329990424,41.94468853744827,42.00335004779768,38.76501178956012,43.9136835905701,44.8455693253601,46.54057310539572,46.35905301639863,43.171836746563855,48.45301078289836,51.313929539442924,48.583646614777464,50.409404030141324,48.283295891916815,53.15131384553391,51.46441839882561,54.16960502050766,54.12778551324611,51.451702603723234,51.596718678204226,49.79101514501507,50.48126677809836,51.27813489520975,46.69371761101356,47.71805482107291,45.332248873847675,42.97672927786214,45.28855142613254,42.36212646724172,39.24633530427666,41.255451185963665,42.46635365703949,37.689455746432515,36.74213047027545,40.017213508201415,39.32494263129518,34.10216490531424,35.804620002378016,37.415714475259705,33.244149127410104,31.673107434545546,35.70746381623929,37.34210798276014,40.587730312077774,43.76215764234612,43.37645518290859,45.352075359249405,50.50867338258819,52.70222931809031,55.44300797195718,55.19356003120488,54.26932086220853,56.26082408119916,53.52709950723953,58.17941759766536,57.77774527895117,52.039665332167985,54.463174946177666,58.598223247681524,55.06872873605571,52.734630860104005,56.046061606247186,57.06831596260476,53.00498668990959,51.4197103517126,48.0947036535997,48.82607980782439,51.353068542543596,49.521861232637356,50.12101783648946,51.362872082585874,48.15404573432667,46.0224713925614,46.88415425950732,45.55561440476455,41.51048976127026,41.7160917512244,41.645551295112384,38.624184290322034,37.49250054605789,41.79746958788879,40.17923185076208,35.65859223828393,39.11815588641456,42.84924384434881,43.505079126148665,46.53319370891866,46.17143705669625,50.47450456608375,49.00317829457081,44.446962373611115,48.538364544369486,50.473182242419355,47.48346328737867,46.967017580675105,52.89147476344347,51.95319406773127,47.36116566628993,50.09484444708687,54.68906694458379,52.87793461553716,49.344496501912126,44.63524968990367,48.58149739952116,44.487516022300554,44.30930096060202,39.138703231651036,38.59106030003671,33.63500170413398,34.409898001139,36.845027723572315,40.459430977433705,40.78200744715903,41.61832761154722,37.248741413886435,39.66534223468963,34.9741091316123,33.33641763905657,35.47541241348122,36.6397084029926,34.69803886317015,31.369288427192732,31.98891512726475,31.32674455523417,27.614221574349735,26.488649531544933,28.73741391218749,27.01297579268774,24.551492119830343,24.188554660677624,25.276816805011386],[20.919896240285034,22.85017083707552,26.183084632144883,24.049219493699347,28.50115043923443,22.98437076354264,24.155289328646003,24.91445607739143,21.386960843227463,23.756294409213393,23.25589663302713,24.51581472491616,28.17369150422438,25.592323224246467,28.380401299225124,31.107276769183844,32.14249621893684,35.63363163930864,38.759597583128226,41.84248907386925,44.909526520984166,49.32790920212693,50.01760906570315,50.30222480052325,47.98847255391108,43.5578374202179,41.990346223488444,37.82534566557795,37.04377973944191,35.67365524869942,35.47682883889567,35.58228371543694,36.916730293425786,40.94734265950858,40.7586435477179,40.42203227672042,40.32336943882036,42.754796896431735,43.86049865567995,49.931401553832394,48.596802428929024,47.19451195230906,51.42883263522666,52.445099760386384,54.46060664779167,55.4687225342802,59.043854385727535,57.17342438924927,55.021532077236294,59.516312659910646,59.71933721837045,59.46808021265598,59.82739917533334,54.5876040031627,57.89893270636272,60.48019802813067,56.75630641171192,54.432921820284335,58.92811576303,59.97785564964959,54.93108535577878,54.51653549939481,51.374495024159295,53.03887241929715,52.40072464041918,48.68108754181088,44.74970586551151,41.06965080723783,38.308353740057775,34.45009959510619,34.07687458540061,34.68494314744561,36.307300522503844,40.97599450408994,40.190566021322,45.796894917020275,46.566877667541355,48.163385695297706,48.677669134558,51.31045552294843,49.61837963664179,50.99859271410745,48.265609767024614,50.36575262669983,48.28220614812677,45.47014101719186,46.540684051796944,45.504800647674436,44.72042644477644,45.2255100578146,42.32512621425063,43.501838616693874,39.46071418435978,36.95445946938519,33.05117278810585,31.148161651629042,27.82875466034549,31.342499990647028,29.502152241134944,30.08119092207122,34.51909942969195,35.03804591667913,38.45450593783167,38.11526454739743,43.21632611103681,39.443918389524214,42.39630215178415,42.966471071809366,39.18024490764692,37.55845439454349,33.34207595782038,33.74097229372325,29.268383611897875,31.332671597674025,29.719503058202534,31.329796939318477,33.39873756243128,35.28004491572812,37.20817298963648,34.04789598710156,31.455935906715045,28.78309336424193,29.197876734186103,27.872182077328592,26.089319666856422,30.65882839671821,29.426483100753074,33.64840191455012,36.49993104048112,40.31734746902584,41.69936473366212,45.52394396811447,46.756714743033534,45.93085869988745,43.38214795577804,39.129112617289316,38.817036546718306,36.92411228094706,35.366531184945586,37.12650880696083,38.89862642178154,42.82265673727933,40.409328681882215,38.67001201981497,41.166477220426124,38.14766123892776,35.828456176249055,33.782847566113425,33.52064005564463,29.31832356238897,30.346801604073995,26.526833430106027,29.813722813585,25.640060865338896,26.70777179298035,29.93268623414644,29.764884996352258,32.47167502722617,33.64397574189975,36.06998761369887,37.96531763415982,39.55538737583533,39.98466251255925,43.92230629590966,45.885816749313,44.527017693014244,47.290690773196694,49.62398317402543,47.153412278300166,43.57236263641266,43.41741821509888,40.881244006913356,43.40563439527163,43.48533496431719,43.09444201614522,42.72975332126187,39.88498530598253,44.717658156764486,46.050642828137654,47.31829444399019,47.42973193965696,43.55559444926565,48.90457266671598,51.93956999010778,49.520645296049445,51.94198777311933,50.28169942536079,55.13804770721182,53.88852800635764,56.08608400397725,55.77906180688555,52.82061222571439,52.52487049523201,50.34647693539514,50.61820955480412,50.96577956552685,46.22263951391063,46.71080530979074,43.92624239835831,41.43294791857768,43.09626771053453,39.997316327332186,37.25920883781604,38.96501086053213,39.587645878370694,34.85089853273396,34.33280656200512,36.97918874002434,35.70327277164364,30.814163130076103,32.422295585220006,33.45933446070506,29.194780053117448,28.022502376970063,31.723895925627115,33.82339847604712,36.4378350896425,40.515302624842455,40.00843234131731,41.50742060793569,46.771874029046295,48.50238320589685,51.583070330484176,51.32505399131455,50.77958880341605,52.89528894246873,50.48969990960261,55.27788121968328,54.73479077312822,49.32690820409536,51.99920559941506,56.16429158120745,52.71000139390717,50.68415115015166,54.268252359978526,55.2057699265215,51.15298002580312,50.16431863601178,46.30625551416107,47.15562398975599,49.322942421550664,46.94502482582822,47.553940610941424,48.27245723354568,45.45290911157011,43.46479035709435,43.581262027024366,42.23220845983453,38.5750561121636,38.43063093513365,37.80791435852933,34.75051247783665,33.73174440628074,37.61659745634756,35.64865469450959,31.155270508084858,34.669588939405145,38.208615924336975,39.24003238600163,42.425244960819306,42.52067437580292,46.81449137700566,45.05307154772661,40.94174671588387,45.31814100583305,47.06872739623632,44.12860330917125,44.204930103416025,49.96370502927864,48.91034295496768,44.713818645350294,47.80248590457921,52.10336981205651,50.28175642122118,47.01660083386674,42.42088891783802,46.417580992996136,42.476051552452525,41.597261542980085,36.73891682615109,35.980204502906545,31.065804258522483,32.38100469066715,35.06493985349502,38.829130131076944,39.377800688326595,39.73021084927948,35.788937971732,38.31524069900564,34.0304681964766,31.4839886631731,33.423341139456596,33.934429544478945,32.21123379169148,29.290249484251852,29.017213654102036,27.968788494663357,25.28592385344531,23.66121984525319,24.936699739537016,23.09868786552031,20.74115017934232,20.566834033511682,21.832140422217716],[18.172936070374213,20.38590646533042,24.11943264739945,22.275820653493167,27.190774958129833,21.976759048295097,23.73449515813455,24.849286430969915,21.82083393877122,24.558998731054526,24.57429116721124,25.84503567635509,29.289648811530643,26.91636813709366,30.126027594390806,32.66935579206992,33.44560838148476,37.21355171306972,40.310525307262886,43.30618601360291,46.47204079964175,50.80945411162344,51.532298569662714,51.629292851207886,49.196807232080275,44.799139395681735,43.077434312587556,38.88806820980956,38.32125275750436,36.95119552263364,37.367314689544486,37.138920277495174,38.78021148038838,42.93048893539718,42.43873976568362,42.00293740262429,41.602345512227,43.91873940251072,44.77636307342995,50.769554339590414,49.417081925551074,48.37923766863822,52.6365164878108,53.44648541132849,55.521055859700375,56.334879477817964,59.970186154254264,58.14429645581799,55.73172520529224,60.130963539328874,60.515903737711454,60.15145231695114,60.68970227174177,55.46425664560053,58.974019461194494,61.658200450029966,57.96143161308475,55.79644942844737,60.395512899522664,61.378566367699186,56.45113985994556,56.31446579538285,53.27409140418411,55.031948930364564,54.15414730887931,50.364631492682555,46.603319545310804,42.942250237682785,40.212300475079665,36.48898831834312,36.09514114774948,36.96913991486046,38.627089933158935,43.196244382039765,42.35458204976646,48.11005153049982,48.555887341160094,50.2595821482214,50.50977208828228,52.93451480922732,51.03529849084434,52.11253599783933,49.23946147093813,51.08489988298645,48.94639213814663,46.412308531849064,47.78292517210196,46.875042431699185,46.34739451373906,47.131226391633255,44.377513301447486,45.85355719866526,41.80334712460175,39.214793033532175,35.130659316056295,33.50778075498856,29.97743733963359,33.2114621248054,31.062632670040895,31.38080069238143,35.800538703757276,35.753751934483645,39.29957817572452,38.43092318700751,43.306518595550784,39.2560471559136,41.95247133805345,42.257205319195975,38.266638836259624,36.946216776934065,32.65697398591818,33.48016915129625,29.178205991985806,31.35166708540843,30.27282947885624,31.788159253924654,34.24897149828326,35.97473463898577,38.42902602879824,35.41059165741623,32.704380409854664,29.859290078646655,29.780079184416394,28.197477790954025,26.117341001799023,30.349555846592413,28.709602610364108,33.037244332441844,35.70396892603548,39.777380233441704,40.74833802934963,44.61495048009115,46.02424462006638,45.471949014736126,42.83283364405454,38.68748096966909,37.91483864463492,36.40554735855045,35.05728335047793,37.145486497057426,39.05274927237195,43.24433453791665,41.07325554183584,39.164151747326336,41.818188598150535,38.941272313686774,36.41552667032348,34.39278730267337,33.865736580748155,29.665977182080606,30.413480046700673,26.8839246475026,30.116201088499658,26.101906925914186,27.66566170180031,30.765216104681212,30.63454282409806,32.94217126223673,34.4228696079271,36.298560297615,38.15004071997569,40.180698472711335,40.30300981022982,44.383853214534575,45.98460950821947,44.37009719451439,46.950688901470336,49.13377179218183,46.41630918129889,42.99801055793381,42.87325391513024,40.61651833016139,43.36716983571925,43.63245460232758,43.49359486255377,43.17266120716769,40.657568222727065,45.46350975615029,46.680725208107525,47.7301977863709,47.64114507819546,43.53342161225797,48.7308412425542,51.71886664243824,49.37580980908931,52.14634689825749,50.75262594178426,55.45926596873125,54.20052351484226,56.17079297044464,55.62963449177889,52.647430770640725,52.03392400624161,49.690807602722224,49.80104125137752,49.89251153844124,45.0612378758556,45.408507775156686,42.382442607454756,40.082811927195486,41.431336446802014,38.49787306276608,35.80509862262815,37.101719031382736,37.65495454855059,33.01743660651641,32.2557097723774,34.70927490065333,33.54265879793411,28.562826067799232,29.89852632744406,30.847287487659123,26.721181178297297,25.327547146220333,28.79157366743355,30.994207551925978,33.530707281727935,37.67371618768538,37.348943033345485,38.78181429570242,44.11258042192535,45.72196904428921,48.96024093490142,48.92513659660821,48.556131656656035,50.855953201392104,48.693348244343994,53.450607760502464,52.66266020710286,47.36121836677521,50.25717123556283,54.25762965034281,50.69467410169163,48.8818892910485,52.61103015589307,53.26267289428964,49.158383282629686,48.57706644655522,44.550991979162774,45.78513150539962,47.85140206900567,45.34091805785735,46.19861799626533,46.84950913051502,44.317316817022345,42.12575062924144,41.98187450318883,40.91199409529545,37.31431118418632,36.759326505703555,36.136080987466805,33.16571792100714,31.85758956559567,35.56941464718891,33.651785934673356,29.05865539972125,32.2899527644509,35.81216365325566,36.81956122507848,40.18820463837933,40.51779330028696,44.71757929462008,42.66633572918206,38.65249246925537,43.198468257359345,44.68958395976708,41.666834982669315,41.99781629994924,47.670525259855474,46.36194753366357,42.28345367448771,45.599678164147,49.70531277190796,47.711242638313564,44.52215134774033,39.935825760610655,43.78521942662052,39.82702177741929,38.76214219587802,34.047372624882755,33.45614257274768,28.642726721537787,29.892520214954082,32.74728243207236,36.489540162113435,37.28848514634483,37.66439694676052,34.078919954150905,36.860971051050434,32.82799832806821,29.986218225927047,32.2486540345276,32.56910989112923,31.25620205275204,28.179073548844983,27.38164824964411,26.585052946716342,24.38839843667204,22.045489020782753,23.064736557413667,21.690097921302055,19.63024690085777,19.88708949621967,21.42314028562076],[21.42583370456035,24.104682416210817,28.406031448086015,26.725742703853893,32.2069839492669,27.574991973342065,29.69409854845243,31.126918412484812,28.264179891475678,30.90885192576729,31.01294578920094,32.41712174355958,35.73792075862959,33.15019522461449,36.43936076602381,39.082200402566386,39.67701209944947,43.352439647882235,46.15051777174088,49.362282213438945,52.35341719027011,56.768183534311866,57.28367426398757,57.214359621323965,54.969706338101275,50.53793307551906,49.026925473927214,44.893335457466655,44.559077294956154,43.380071562874164,43.69052082247531,43.66679613243481,45.25836335399066,49.34195918927978,48.918809145699505,48.386963927007834,48.0997274684319,50.21668350329725,50.977957092153886,57.01582097242701,55.38841772434255,54.434001869462755,58.76207351184423,59.41686061887509,61.313922256122765,61.96151182708164,65.65459783089963,64.05382076649357,61.5352572321194,65.93952883643554,66.54763911331463,66.26152864881045,66.9130589742573,61.67585481827308,65.35183778786163,67.93435997859227,64.14729173663308,62.126485165517316,66.72645323025279,67.53683465898341,62.572780996139244,62.4647869031465,59.478562985230475,61.00536613455746,60.14444577897584,56.48958707551634,52.49641409848102,48.9840358775502,45.97934193353499,42.36313210049271,41.717528918493734,42.31282061029673,44.30141628915592,48.872090642886015,48.35376034454752,54.10704829111169,54.73676067163644,56.52292705275948,56.86937154686837,59.30591247064941,57.51594327545162,58.54693101408318,55.748633431294714,57.495486470585256,55.25115598556906,52.82382754108858,54.15090342465705,53.378303140232475,52.70326623328634,53.53715873510731,50.65367645106094,51.960387569655516,47.94289981251622,45.46943050806045,41.45850995597659,39.68869606954815,36.24708620498781,39.686052265923074,37.62142406932106,37.88961951686522,42.3892329435821,42.268447129654795,45.85644498784417,44.83707736025277,49.58498305126012,45.38486218279999,47.90709114273133,47.974501821030934,43.82249971947895,42.79784402625729,38.457971779988426,39.508921640012005,35.30109422889566,37.32974177912516,36.375527693097766,37.594162169335235,40.119862241042675,41.49587124254493,43.980029428284645,41.275605558373066,38.384114590104055,35.69743074471091,35.27235680660367,33.87825914828741,31.940934110048502,35.97775656004841,34.367066937815416,38.70252248856359,41.27271599289702,45.57093902428313,46.097806958570864,50.05443950807615,51.51719142214884,51.29290161564096,48.433159343602505,44.34525869478001,43.06169683914861,41.729987815532965,40.30909201512668,42.66967038195289,44.21972611901569,48.57358420775481,46.672110131888346,44.89199408772228,47.72279515354893,45.07964466091707,42.47887901313986,40.667400105991284,40.16672685458404,36.03614420581931,36.735713036050704,33.33831841689946,36.45180139046218,32.31082886322081,34.09707170132295,37.278698678164126,37.20628962680385,39.418756409128,40.948102610251716,42.6364126933469,44.309858316123766,46.461592255873775,46.24325512100584,50.469660502421966,51.78070595532121,49.77237741021277,52.39563200379196,54.27446397911234,51.42366457906584,48.09758156384236,48.202371364829744,46.16882566123092,49.230324376988094,49.7189743535253,49.76883230699437,49.56170563077351,47.13988844004935,51.97797308588126,53.08936042113314,54.095149285285004,53.80033262624631,49.66835969167225,54.7153759360356,57.60801055213863,55.24114356728125,58.15026528009994,56.810852863186675,61.38706947047545,59.88532952147047,61.87208926551417,61.170837331547744,58.29680143245444,57.47457200767938,55.06777469453645,55.11929343309552,54.99711250218037,50.094337371154126,50.39115070520124,47.098644638260105,45.133789205861376,46.091149217988686,43.41825766029595,40.80201454970887,41.49832381549386,41.95862339342162,37.54172604342713,36.344401699369726,38.465183994237904,37.46595296313051,32.47813103216914,33.22960630022577,33.92281497520649,30.17711784944909,28.38759476900229,31.099907791424744,33.52453673660696,35.77490910213231,39.996768857499234,40.21166916205384,41.446081389622634,46.868490810019885,48.058276047480774,51.72241144697196,52.14386995164987,52.18238954104225,54.7847815277476,53.056094943963565,57.74970525934444,56.57027156318665,51.510184164654895,54.73651692840947,58.44407718476351,54.708533577675354,53.24999662264566,57.15748485522474,57.30859290853492,53.11936739111754,53.14597145827425,48.983188798411355,50.78837116234376,52.72798738862003,50.04816460861197,51.19454883008273,51.6531210251389,49.514038180715715,47.1773241665945,46.59507272871893,45.79901457452299,42.42427327616916,41.37089697269868,40.56587619693589,37.72155831720452,36.180321798742305,39.42155280460124,37.40868944516288,32.83611636028238,35.599517320581555,38.90192878258843,40.043265818477174,43.71889901652588,44.549121877259516,48.55192474465983,45.964416874099705,42.28621285799207,47.10228831126382,48.08192541603268,44.92940682733991,45.76192286488444,51.2147842908991,49.35532671228764,45.534896288649634,49.25975762112281,52.95344544504003,50.5335519786299,47.48409267343455,42.91178019260424,46.248720951869636,42.14847111443592,40.883100350960156,36.53629089865488,36.56144911892081,32.068400665389845,32.8374166891394,36.019982411699864,39.57935080685748,40.919511685700506,41.57061034366256,38.57544615491908,41.740263342864225,37.99894904304211,34.96962427982772,37.62273372676447,37.6948142924217,36.8028146519855,33.67070373526403,32.26750429304968,31.674501201322272,30.11508477987135,27.093427591111066,27.625877644887158,26.695554039617623,24.933035544358027,25.39807339710166,26.901865038009774],[17.16150988742748,20.073318123174214,24.325668025298047,23.549962973281076,28.750717856148423,23.670915120754735,26.11208064749266,27.084682974480547,24.772327647929743,28.09455058841105,28.33012397783471,29.13763910782573,32.82497946823065,30.94800818229317,34.1637878852833,36.47089680595363,37.39101389532725,41.37143489703265,44.685412237417204,47.45063784884589,50.79238245237961,55.01099689227451,55.89262588298149,55.97642086939273,53.365865210316535,49.0368828664709,47.06541117097535,42.842343373724,42.19945687677261,40.55077190442775,41.33962649181341,40.577577907289786,42.21894574838127,46.58007760546492,46.019451627184445,45.80066486034058,45.00706752435612,47.59602982304588,48.35510489604325,54.16517701543024,53.11120232999958,52.31822832119529,56.502796147894806,57.28698261530079,59.53511415261253,60.28468256500306,63.91786008021884,61.98158193340552,59.41383398198673,63.678522716674514,64.06009664097387,63.48503006485281,64.08736503375997,58.920758875539356,62.363376484344556,65.28452352198023,61.736700047258765,59.507162421913236,64.15033194820525,65.30898208375052,60.50720545356677,60.449885522511124,57.37142065871365,59.38980647506352,58.44237319298232,54.5119423497121,51.02759775034854,47.25778377279781,44.76447494123404,41.00422597187468,40.77707889681803,41.81296071860391,43.27910184735882,47.83761003550671,46.72915348967798,52.427165979732074,52.70249258448969,54.237788182516084,54.35644523551842,56.71758228167173,54.50829225173251,55.46133749325698,52.254362482895175,54.01468130765186,52.05157657870948,49.67407317051768,51.3880290467516,50.280669639545614,50.18617561041525,50.85706010173703,48.36880268872935,49.97948888099824,45.88125957357573,43.07920678402716,39.0163764353139,37.46993103610289,33.98949699919521,36.67036905738688,34.22599908096852,33.81269753820178,38.62034562229872,37.91476068425008,41.90025596949756,40.4952709391283,45.32840962575685,41.09721282041775,43.33484971642418,43.573011600692936,39.41480931042749,38.258109567752676,34.156439890115614,35.67455969190707,31.694553523590503,34.264685635744065,33.76559575895181,35.43516713796079,38.18455759428027,39.98033205021082,42.796929857266335,39.701929501544065,37.06682761448316,34.04366583916719,33.78148578964942,31.861836400254415,29.361388260487765,33.176975604722855,30.72507476807973,35.148241164982906,37.41405541356919,41.607017872936375,42.29602305319902,45.993638194131215,47.81923934138577,47.34634064651798,44.965095821068246,41.04768442677167,39.953291425976715,39.03902945774009,38.098499263196025,40.40618885799921,42.6688458645144,47.022109217273346,44.957409551109386,42.81031645555293,45.460395424868146,42.52588073706926,39.894574420188576,37.646756994487085,36.6894229974451,32.4082876137761,32.49901992320279,29.027082891363534,31.669087311733787,27.394581883701566,29.66323253414073,32.93137747987498,33.27304465284404,35.20176619790183,37.25371690702289,38.69204484653288,40.90779871948906,43.365035305612416,43.54063906175119,47.59326133983324,49.00330302091666,47.38783408963869,49.615901400942086,51.78226836193076,48.773108791147116,45.613495366585454,45.34606324352431,43.38822772581372,46.124148868803005,46.37391210140386,46.31204697029599,45.758982003351555,43.568091203455445,48.102319464863186,49.522454401221445,50.26970523817476,50.313149912132864,45.8155105329749,50.93319142941644,53.97126350539498,51.85869682609177,55.01756988146375,53.95088922701994,58.56750986873105,57.54044016240992,59.17266748090722,58.42670041620053,55.31909243235794,54.37041869222492,51.792042059710205,51.60150997407647,51.32618957565566,46.43920157148943,46.38610784522809,43.05229686506174,40.78948669246016,41.51962838273082,38.59177639213723,36.26615550128101,37.127057459112905,37.18672485716534,32.7547579147657,32.22291909041446,34.015257275048015,32.45297739150463,27.874979483163283,28.91451738904261,29.272789895667064,25.291707698353957,24.171716267261253,27.01363326143699,29.637258089207485,31.494301602984628,36.35828420376116,36.082228401931296,37.04347528197101,42.42261244220296,43.53214506585973,47.125842765389834,47.21245030621987,47.2571530285832,49.71646088513235,47.95264186078189,52.74128834116252,51.74387500124927,46.818906190953676,49.95982105403257,53.85740864840185,50.34268221035807,48.878883222381894,52.811030156224575,53.26085254699638,49.193015812433366,49.21766834134849,44.82427806111302,46.28275554237338,48.01941759544415,45.0915484199356,46.03360050359648,46.23146483808875,44.14985482043287,42.04931429277047,41.21275511151864,40.241183144939576,37.07230123207501,36.09306979031696,34.99933397018648,32.109346031454635,30.82950515337032,33.97108790405906,31.778548814294513,27.30045043241108,30.345616451585393,33.58524915906879,34.92749712133592,38.473948208828894,39.31539702813078,43.39130113188097,40.97550466805013,37.47160715151801,42.25314815840471,43.4341652376596,40.4540716762635,41.38787142045365,46.79307895696411,45.26364811484227,41.621278607907726,45.270879761135674,48.99135893003287,46.90424327085601,44.00274852027029,39.58373527191237,43.27982217738344,39.476649692397466,37.818851677503766,33.549009331489124,32.95872933248713,28.4076061234194,29.930567637493436,32.97898261795353,36.694836496758796,37.78302318721047,37.85139369753926,34.83811119566063,37.73354427043977,34.18665571265868,30.717375954590022,32.87807894367517,32.61892455775263,31.660229345088165,28.97046040635899,27.312262395972798,26.3229551408148,25.256274875070975,22.40153890240823,22.381667192743436,21.18249100792984,19.481540178861273,19.99668830517546,21.5767903601524],[20.917214571435924,23.609207209107673,27.42428824392133,26.582289112728596,31.220504935485682,25.494741286330918,27.352790123684308,27.62830651743158,24.855997849492198,28.034384029140195,27.580254447379126,28.031281963411935,32.29999423997241,30.427272621328562,32.971596041482684,35.4149013921522,36.89365674705337,40.5851243711353,44.13466949168531,46.879764318878216,50.1971101471908,54.4753281139064,55.42725254630497,55.83984732492808,53.29182156043835,48.94063265453392,47.03813211215766,42.807347623477284,41.7253810568391,39.85658061147625,39.87558103698285,39.27608517718772,40.389977366127624,44.71513606303989,44.63042709527899,44.74940289148903,44.189164540393186,47.19806248281448,48.333172236994066,54.18054593058923,53.375959349076105,52.10298561936773,56.206211395816645,57.34855094181908,59.63110302973937,60.6947901418651,64.22224366382545,62.11217612992812,59.90480673547525,64.26249068572012,64.29899675641583,63.77923833050043,64.09558738905085,58.92824713527798,61.96788753324494,64.88519885471405,61.38907476641525,58.818298026638175,63.31652940034078,64.7323350391134,59.79973709433359,59.305274947985964,56.01233786218194,58.07478236633575,57.49563520985832,53.572538654075245,50.00458784599579,46.1074704496795,43.748865246649565,39.72657004103047,39.67597785124699,40.410383167726486,41.645665487525456,46.36076153937483,45.12456406757892,50.52154488003423,51.221219647199106,52.43877491182352,52.920649805118536,55.60846044813479,53.531995003249214,54.944120946182345,51.73773030517103,53.91211968035191,52.164821983625316,49.380098497251964,50.812666670942555,49.32431290334468,49.098575166384514,49.192807512831216,46.65162074097474,47.855676146096286,43.735700298065765,40.90245139614717,37.15835463129516,35.2046936062299,32.111093004673855,34.82900452280159,32.67338411176137,32.168378620196954,37.3330738843386,37.16986968464344,41.26225842314947,40.441939545587964,45.709205080174954,41.83769579793874,44.28645678340632,44.991941423571205,41.07484169690129,39.42962806116585,35.52258889137096,36.712147100278685,32.562393666242436,35.24414812266818,34.192779519014465,36.1627653184071,38.47071571121333,40.61501914421595,42.810202070288,39.387136406004515,36.98902550763717,34.08998066412004,34.53227667236197,32.77850435841718,30.451592305580192,34.67262524023962,32.40129849820089,36.772962225421516,39.17023157968743,43.00834488731594,44.311443041955314,47.860654337281574,49.63021186645373,48.68110223637817,46.6178193651939,42.603139837375096,42.157035642788536,40.8927508715705,39.8256795009316,41.71516855303362,44.01826291225802,48.04368940797522,45.59841303697172,43.56025068449926,45.944844672527616,42.68916213626784,40.32584317372316,37.85269136693464,37.056833536841616,32.65498624109171,32.816020208728126,28.794320696017557,31.18893712766476,26.36806125241326,28.262465945860512,31.9225291120368,32.534866184288184,34.939246916375986,36.85590948840119,39.00144118096074,41.56987116286292,43.547419040982575,44.31949823416659,48.12462941221158,50.080690986909175,48.92978782779421,51.277035522048834,53.738564276496305,50.975678564028804,47.64717284130493,47.221196958469555,44.917550726347855,47.2488573350972,47.1455730453973,46.672006638503845,45.87345686309819,43.29216117430861,47.713326735742676,49.49687233568547,50.4397144311061,50.94727042745549,46.584642885137924,51.97476426338975,55.15718349839979,53.04305959602876,55.83572296220318,54.49837072430799,59.356284798573704,58.5096944700334,60.33473793242231,59.88641186647017,56.71814635920338,56.1339150651264,53.69243447245797,53.612369568434836,53.59346806581385,48.8002818085733,48.7718556607349,45.694778464485914,43.04762662378168,44.04353723025815,40.7588630739686,38.52727540590673,39.96385921369275,39.88887784290933,35.315284040543375,35.389527601108924,37.24836266844764,35.2370311464423,30.987561481528083,32.461040204143075,32.72387395015577,28.47199698461698,27.921691939531,31.034893901159826,33.660478592900525,35.37394844114173,40.49231155214732,39.84929865863485,40.713541508038986,46.004981398711024,47.10285753551843,50.56833463498033,50.255145869793225,50.16453085808162,52.34671182455765,50.30867454655024,55.204191127222906,54.57889775422254,49.626621123246856,52.47877133592368,56.67323363784161,53.387213943316695,51.687233814885424,55.477414682036596,56.3867267510309,52.41884028487727,51.98734858819219,47.669502942558594,48.50694391432813,50.26071328471667,47.327437251851116,47.828808743922984,47.89386115019457,45.49276427836366,43.83363784907281,43.10818281534246,41.62291725923289,38.55482840374095,38.14601916146243,36.78168542959483,33.72737809194932,33.038928578117414,36.2689541944985,33.80984664148102,29.5559070376994,33.1346869728979,36.28984906583141,37.85959564240325,41.135459827553134,41.77514959779248,46.00242155795354,43.976259717638456,40.51998679923693,45.11579593136159,46.668801016553104,43.8657791422012,44.610656591954886,50.08098743794748,48.951457826841434,45.280243416746416,48.67812807979912,52.606005973236755,50.81570622095,47.897864749581075,43.513853104842035,47.47250182361474,43.759536839676315,42.150487149076845,37.764069219029764,36.809675643285466,32.10817589958457,33.941827409486066,36.7932760873497,40.60096143165168,41.35366650764494,41.19754887519415,37.75409357425958,40.255836154303154,36.45212581677495,33.126042048485196,34.639574373828175,34.41776392470611,32.8455554609087,30.631481301795326,29.48921262405692,27.878055226879532,26.466840289682914,24.633484149793258,24.61541000577721,22.53906047584227,20.38011016196021,20.212105433866903,21.373522240166686],[24.197514797645216,27.10371182205289,31.19962313373756,30.31113840089175,35.24399697785255,29.740337122814903,31.679325913652633,32.10697499193484,29.260118954544613,32.275138004736455,31.74845758921887,32.32182477961967,36.557937474816946,34.45542734816913,36.95150409945011,39.52611439575206,40.96239247096837,44.51732859840158,47.89143158761171,50.81396313056601,53.99289777641927,58.35803992051846,59.16834326450453,59.543576372749186,57.149984260653035,52.75266586670812,51.030171910637264,46.8268390105948,45.82464000412096,44.07831331918626,43.82658557854007,43.474094961063344,44.448023497884336,48.68437116722329,48.756613126830544,48.85019936886099,48.46360419192511,51.3894144943623,52.54823740711409,58.46561868249296,57.492612588153904,56.14537944810955,60.295145713507466,61.41500946535592,63.57331727924196,64.60409546988319,68.15532268129635,66.16279854288268,63.97418273100333,68.37841933076432,68.49024400677703,68.05367050507687,68.37828556782365,63.18937675045471,66.26402444393473,69.09013830468302,65.52577584613321,62.98114910001077,67.44594747493291,68.78546924592894,63.77925060246083,63.19544799236901,59.89307782743218,61.77757949717168,61.30256542644158,57.48529953940393,53.702651927397454,49.88814524953874,47.336749080558384,43.32965424032525,43.11940313981995,43.57960617575298,45.02117149603783,49.77738286619957,48.769260625112814,54.10465703976767,55.0502506822588,56.27260787964543,56.919214180794114,59.69591262773015,57.757709744391214,59.25110243345059,56.13107349881764,58.334542243370926,56.53810332616044,53.72217549972336,55.02917966934748,53.57641582749075,53.17041689287462,53.188345707030294,50.513676077352486,51.48999426005632,47.398461237867366,44.6724732577402,41.04814994358244,38.901681786869126,35.94306042843905,38.89156449706296,36.897149242163124,36.45235638374777,41.66275906816552,41.63307102398462,45.71304087840797,44.96097834791958,50.227625020796275,46.335490643524665,48.757579562984596,49.39802213513007,45.42311513729591,43.87145319789718,39.928828217504346,41.13606561775802,36.96135215238476,39.52412975035829,38.381771595021576,40.19540705336419,42.4447100557476,44.423572754381006,46.483687614616386,43.203050447253716,40.70499092386784,37.94229656455868,38.304659061862196,36.733340911342864,34.56538315376305,38.811843020558086,36.67840394628865,41.06063841831936,43.47479359110767,47.40215021023988,48.555236858459864,52.165201847428705,53.92429478218641,53.09217444491256,50.90885496240265,46.87359188955823,46.24156693251961,44.95789833668718,43.768354433981585,45.74584882878132,47.794424577091974,51.8626527847054,49.49746222105828,47.58498627123258,50.04662238765747,46.88136616621865,44.521334897331826,42.170717835205444,41.4739463670899,37.09665649442311,37.33017087863557,33.310209452455986,35.66833820623815,30.745954433278666,32.62108206966043,36.354967065826294,36.98008256962907,39.4459602919112,41.296942656752144,43.494683317650086,45.96542182265999,47.89096581490838,48.541685682330915,52.41301299760455,54.308765612267855,52.98517608700074,55.429111259316485,57.759876991625696,54.97606661354488,51.63570095283649,51.342433383059976,49.07840157858267,51.550219079644066,51.5308549428118,51.09585050859096,50.35318277883767,47.72039688498866,52.17608645408111,53.93808062662707,54.924000667321934,55.37154055514764,51.051691371523226,56.41326265888565,59.56201566352553,57.40426498145778,60.18229291903552,58.788954095750576,63.63101854050283,62.63281778641209,64.5471600595387,64.07389517047446,60.970515533212954,60.35157868072366,57.91050297581471,57.841260610490465,57.76455257990034,52.932369849137196,52.91120574128876,49.72462746020132,47.21563358574368,48.05904136266282,44.87489351231353,42.66959043289534,43.85601893711961,43.73748879680284,39.255739214563825,39.12445901120746,40.84259701645876,38.88923696390058,34.64161828193574,35.838548124935556,35.96445344020331,31.89421522528486,31.15131618620684,33.88768391498607,36.63895683707177,38.18526067311865,43.37787511201513,43.00774755336482,43.75218482670731,49.091883412758335,49.93011050286181,53.64100641395962,53.53882180946715,53.67230510294834,55.992361777154656,54.16428119931406,59.04064767803029,58.24236859664949,53.41684478753622,56.41789078628539,60.490546922527045,57.12956323812724,55.58899705611056,59.46127204238483,60.149840313765836,56.13513174813757,55.965741502636966,51.590489994629415,52.6696624411019,54.37268678133305,51.35316245434993,51.95661563367011,51.89943817610232,49.66925487336042,47.98755774659454,47.04155351096558,45.638652146978856,42.70707820801888,42.09894746313357,40.60196485208153,37.60322291413352,36.8538162119986,39.82474220340759,37.27409221835594,33.07262805009061,36.43877011425835,39.44524024833599,41.130268744391294,44.54936363791375,45.45463308085502,49.588632493484965,47.30142223531292,44.043454539034684,48.77375418247168,50.082638054491674,47.222208486826055,48.22241021506874,53.58938710377814,52.18988110594366,48.64685023560694,52.2488372579005,55.98091189714162,53.97567082110072,51.12153487589054,46.72954122422163,50.434792956818576,46.62804020148766,44.93135856342682,40.71294110012258,40.0768828068704,35.50606655568191,37.07907572031446,40.10254096628092,43.83375035014254,44.848581479974385,44.85259371621851,41.646675304804866,44.33121213407083,40.605449312938354,37.231713170284394,38.92188872715269,38.6026882181738,37.178133751438985,34.945844096496515,33.57290408425515,32.03311458850002,30.856815428992846,28.753807146253134,28.550844276658644,26.6483681679794,24.60733683554658,24.48372744959433,25.56847170481313],[21.983965990473536,25.190966999606886,29.50054060533471,29.295801044933295,34.36631802534155,29.05845121239549,31.48967168152062,31.953806136766968,29.686435554286362,33.13761629031715,32.97073877881119,33.32943034013463,37.55038194013717,35.83291936948165,38.56117420501252,40.89903021440352,42.27843096262964,46.11274936956926,49.634862286690776,52.346923316687246,55.70818300718613,59.949204421693615,60.90182690211773,61.192957133861,58.59834503200331,54.26463885150499,52.28639455086382,48.04638043308614,47.08660471789456,45.17621172185047,45.49698495570781,44.65518833401,45.84059720222271,50.25830661290447,50.081343552783125,50.22812641804742,49.45043675951167,52.46776386841676,53.449927226318835,59.21208893685499,58.43450584688522,57.407143718673616,61.51652780702561,62.53178249613087,64.85122386766962,65.77146758572951,69.34487776578763,67.27114885761547,64.87201063350867,69.14953630333534,69.31715972259198,68.6915154686976,69.12874920757784,63.98864020955623,67.11166300515933,70.13532556357654,66.68350342520363,64.17717487586856,68.72704462949018,70.14544988584143,65.28647280868739,64.9153320627557,61.65091094242199,63.77175639372843,63.10187837650226,59.14169357504872,55.64871032922311,51.762022448030386,49.3999929751565,45.43312924119964,45.34029380412633,46.11663357210925,47.421511794318455,52.11653216208405,50.87300062959325,56.29172455334944,56.89684301312414,58.09890966335388,58.483775083846055,61.08953478751634,58.85155218603358,60.101948501596326,56.727882092408144,58.75128252469118,57.03207971793596,54.44207660163881,56.101271526473404,54.609953512131455,54.5983699073726,54.74035050717488,52.31172083035523,53.59439370111674,49.46543878495948,46.56506898085082,42.80730716675937,40.916824791423814,37.81070042298244,40.305594644319314,37.976584143941935,37.07463683093838,42.394134962222886,41.737096610514946,46.06392546730031,44.78318986946572,49.89331562444289,45.811994852056245,47.88172033003327,48.38702922964081,44.28672339543018,42.931696912388134,39.098282548000896,40.810410929891724,36.90058432771343,39.71585819599245,39.10810400522042,40.99705769616773,43.57306301354501,45.57124135021168,48.093910843357015,44.79029368910178,42.30065815807815,39.32749039366213,39.414615987541126,37.51912532444692,34.99180086842751,38.8739596659489,36.161037399484,40.5885389548871,42.70286152120856,46.74319283454536,47.61914545120842,51.11658482390138,53.16081345260299,52.45411586708343,50.41293686258351,46.564997194331355,45.644751704121376,44.83102385041586,43.97575936962539,46.161829420081716,48.52662490006618,52.77256471138307,50.54043434027617,48.39406532211427,50.89766413723553,47.74254505051712,45.240265902482754,42.76225401205827,41.7164324873799,37.320291663087566,37.103530586132166,33.28491360489936,35.33656899773016,30.47378481155639,32.89157654004788,36.57116408905689,37.409944153479415,39.47475665652317,41.742954608590445,43.44767818476052,46.08984438319608,48.43315114666179,49.00550021472275,52.89817669594026,54.55242378949654,53.17737018921129,55.324053333291744,57.61984160300784,54.59702844849391,51.474416992175264,51.07671599681143,49.0771825393351,51.58474716939587,51.613368380814734,51.32112098813974,50.471716309784206,48.17789408116976,52.46700713903037,54.270845006037504,54.987969070383144,55.42539388864452,50.80592847243903,56.04648595498756,59.199700776374655,57.215686985729526,60.345494880586976,59.26184813910952,63.98724280352628,63.1556141683888,64.75909382525067,64.0833172633489,60.89194330265741,59.97350801031705,57.34737790402313,57.04869636814101,56.689931806274664,51.82998991911502,51.535799979293586,48.14329278878921,45.708452758306905,46.13035164925691,43.01528856563286,41.041204198045946,41.8958086460121,41.490261747116,37.19096560508199,37.1613213241436,38.45609238796291,36.3243553935542,32.349344506656564,33.342335442698115,33.125344338812994,29.22139278632264,28.646110583308772,30.978728921442087,33.92788450332236,35.05479662037239,40.61349814336257,40.253274932588376,40.71713784275535,46.035959570663614,46.60237878168137,50.47602602045326,50.46827553008731,50.8444815244466,53.270456485504674,51.718168517115274,56.571980911647096,55.61450630848159,51.040851337357125,54.202410074089684,58.16271863018311,54.83093437153695,53.53137123643081,57.52454035896358,58.0530658240007,54.07923985064171,54.324173350723534,49.728491734482176,51.00228134699974,52.48686451126642,49.23092976508731,49.948563639477996,49.65017345213131,47.75827604109547,46.05965227554434,44.69628593753495,43.456068755202,40.77649744922283,39.83095282427526,38.12482343746447,35.23340096302594,34.41640014498835,37.01802843500418,34.38486165613414,30.276487733197317,33.425037281214514,36.2469609834928,38.07272149536588,41.58390148399653,42.79244175931061,46.804126856148514,44.290600082151904,41.34689563831096,46.187566196852806,47.279723009378394,44.45961108656163,45.81570316357189,50.98093820365809,49.45374393693797,46.20136620653151,49.98230295379357,53.452292822182955,51.41405960276981,48.759304651956874,44.51252604857331,48.12445854497475,44.47129898352965,42.408211930542684,38.49974175839518,37.82733310659867,33.473427354931054,35.23430843157469,38.32360250060725,42.01179006151479,43.18050426872345,42.97029211695563,40.167958357126075,42.92555126371055,39.56386273437719,35.8063512126119,37.49621107352387,36.8279960302373,35.73523975085815,33.67459067841562,31.74025731966251,30.205012725991402,29.75967645053376,27.249153893028442,26.455612580216876,24.824986735793047,23.125098179349347,23.30557604135264,24.51309880933512],[23.224581704290514,26.57539681672488,30.792539433015907,31.310579653034605,36.127860219723125,30.691000013399854,33.263119049704606,33.304064547567016,31.429830750620226,35.19428379724538,34.959253192770824,34.83304360654992,39.36723749546017,38.089077526155904,40.564342432931305,42.71075547475049,44.40277308475497,48.29452515232018,52.10867158313019,54.56441777115028,58.08101518462929,62.207775782772394,63.35755818203046,63.791679029454045,61.038769058704105,56.78067759758376,54.588909696984565,50.332798807801645,49.12127632653464,46.89304392237791,47.279956603359004,46.02650974553857,47.03481389444385,51.57897698444904,51.48951294722967,51.946022075226644,50.91132055586493,54.31311236135756,55.36201685551577,60.94314475662513,60.565307536932885,59.55256073805888,63.53806684225285,64.6905127413477,67.1961902617508,68.21235397729603,71.72069479554622,69.44570619183487,67.08634882813314,71.26980052344607,71.25182735477868,70.45969647246376,70.81532540121434,65.74953614062781,68.61261182610453,71.84338001923527,68.57298464807869,65.8667075506019,70.38065237553259,72.07455314191104,67.30342566307431,66.84111433041579,63.47543566254804,65.87079200749993,65.26853335296028,61.182479066186296,57.961197690619464,53.93234481109546,51.882900957483045,47.80681314344759,47.960803593080236,48.83283278653319,49.827243520121044,54.52938797383971,52.96052500305199,58.200579857926016,58.754563743897776,59.682787166422116,60.05423707055675,62.69991907461479,60.23986523403748,61.551706214319694,57.90870665417222,60.02180917409387,58.5601757705859,55.94563041236954,57.783916681476974,55.97565609582649,56.30915579714108,56.150157572857296,53.97439782013293,55.26816580156021,51.12129891698347,48.03963292320219,44.42787826872819,42.53518745613247,39.61093480253759,41.59314239602158,39.14326147913239,37.65030794184349,43.28707662461095,42.30517490060129,46.95645210198345,45.49872131088767,50.69698972347727,46.690256287130104,48.47120126571051,49.154793367024034,45.10867050752288,43.65055378312614,40.12364785565024,42.17920410950157,38.499642562505954,41.64222244820431,41.25775199393164,43.40717985689784,46.01620772066991,48.25015180016353,50.82274146999726,47.300480537891765,44.9986858200976,41.91956955295913,42.17509756535384,40.06661171654315,37.295768209136924,41.00642264764471,37.7887845423831,42.195036899167064,44.03709763387256,47.92993965202924,48.90891812368223,52.147895387423034,54.47835271164238,53.58110015396651,51.94389548999591,48.26538527224394,47.46727816231923,46.94995856249641,46.38338825482398,48.505228760496095,51.22382526898882,55.416669337013964,53.08264277680808,50.77330275337132,53.1234689177829,49.77944008649085,47.32641380419537,44.57531855807354,43.26054257163118,38.812855000748904,38.12672061600347,34.22119611961503,35.67489730860376,30.57054237478262,33.31757421681895,37.156791236879215,38.43813865433887,40.3461424446432,42.97408634986019,44.598149840578024,47.66492097769492,50.12355397068009,51.022636341492145,54.74130973191487,56.49807948794767,55.39637098308916,57.282672440691314,59.735883812866895,56.62470461201711,53.642845415278614,53.02188153809812,51.09209043005073,53.34542052348472,53.17946618055296,52.75679750581139,51.6103321113242,49.442833591904694,53.41523023215241,55.5265783462617,56.070607334977296,56.836046461381294,51.99428812720963,57.259232972637236,60.50764645590759,58.73439515361834,61.99037021900034,61.06956882841527,65.82181396667514,65.30096066410934,66.69017822579202,66.00215941724949,62.67439655087577,61.67714099336244,58.94350491447027,58.45800097546371,57.95245086492214,53.14663431279019,52.54714269255481,49.109767599903996,46.50197101435321,46.599659961180926,43.33010252192323,41.72526918026272,42.58234378906673,41.72782806028849,37.58997498122278,38.113353621612326,38.93150119258822,36.26801628085919,32.9133929828182,33.95363483278306,33.24820606282899,29.405461063427072,29.4433428031025,31.453823171693166,34.61106354095064,35.10597167796969,41.26071791743554,40.64862412043346,40.68675889410037,45.88099323009699,46.069503427495356,50.04740706578425,49.851687424198325,50.438164086462805,52.7742692832101,51.37483058326516,56.2624842583419,55.388921335748385,51.1367014221371,54.267096935288556,58.294600744420364,55.18245184862981,54.01220079028494,58.033280809894066,58.703005662246376,54.86671444621588,55.28010550326995,50.494593401043275,51.544226612082,52.76443728424225,49.225780959572255,49.746894886023384,49.03485060398868,47.34420407587794,45.978061537905425,44.17261937845608,42.75163877442353,40.50495544990938,39.56992406992328,37.39670467477402,34.55551072592634,34.114733135136774,36.26609272077557,33.34175915432453,29.597181274685425,32.823090288003534,35.29860325285018,37.47362721382544,40.864149282225284,42.30569013947806,46.24748646697899,43.75656384289059,41.276296551753546,46.08417879036611,47.17498701591617,44.55591438098157,46.20954724690328,51.14424787072248,49.76262799320164,46.86382687775277,50.663819302989516,53.95063147004548,52.09521135909606,49.68093721093884,45.651268936140916,49.32158545444307,45.92704936840986,43.47781746697052,39.874507090580884,38.91016048636769,34.73983211740924,36.9142679212331,39.927161838890285,43.60857623260008,44.71875313330441,44.103362375100076,41.49455917633146,44.04760279277578,40.95985159073516,36.88702190735515,38.104968854396844,37.03853178755545,35.92150699535776,34.44697015733621,32.21586574406392,30.261911914971176,30.495916002488897,28.232059628482766,26.72892768875342,24.85344099473814,23.305268669495817,23.390202989963004,24.379380433812116],[21.30302124053178,24.817777289298586,29.151636328036112,30.215079908171138,35.10904796806696,30.054026806672322,33.02566344565833,33.225524532536,31.877378994773945,35.88583414537433,36.02978203072251,35.85334954914209,40.1849793065306,39.16741260441145,41.91357573408401,43.85987012206746,45.37145835843576,49.47955647346739,53.314627255264696,55.621361447683995,59.247957095913534,63.258361549863714,64.4846431955056,64.78725873837573,61.895763737630325,57.70775847554128,55.340556385289695,51.08947699722601,50.01103537531548,47.74318622788909,48.6820071163994,47.086661650376406,48.35986135791652,53.000687276807255,52.62722796567195,53.02928462869729,51.68941009074799,55.02889154359059,55.86646571618832,61.30178199625273,61.0037200698562,60.32008577679829,64.27746662163968,65.27171684254438,67.86899787556803,68.73816292841398,72.26711961309297,69.98390112479532,67.41629912187967,71.47040583015978,71.56645472741329,70.63378268205547,71.13325261040649,66.11997201423009,69.10056479012546,72.45435527066137,69.26054618381977,66.67332797649746,71.26456592056621,72.94498824161096,68.31866522741745,68.10759809638289,64.83161387020948,67.36391612012079,66.54410392059549,62.37531350395182,59.381359742774755,55.35152705238001,53.40434189248388,49.436697472253364,49.627635400507316,50.765247787498126,51.71989945108071,56.32527397584245,54.64274471110681,59.99483315841725,60.21616985642322,61.211068584356454,61.315696998185174,63.75417831124409,61.07460199171397,62.10362431920428,58.31147950420599,60.192163488245534,58.73712145224194,56.38654919076395,58.516865701665886,56.788319932466536,57.41051876578772,57.481675501910175,55.485842395645214,57.07854024863364,52.93071825010757,49.76448674174846,46.00548963413507,44.39161606916573,41.29498229579381,42.97518268965288,40.266142210399586,38.533263703622595,44.08143069590571,42.562284465530645,47.30278496010456,45.359882079341375,50.2978637184076,46.114425918803974,47.57943671481231,48.05582280158371,43.908597763512404,42.71484683698603,39.27378857890112,41.73199137129028,38.326846766790275,41.57878912206832,41.6749434473418,43.79140569313417,46.68136134893786,48.84097557141714,51.83018262370708,48.38514584950819,46.058858415456534,42.84475919817407,42.78039689284768,40.44790358188885,37.440537257308186,40.76434225780345,37.144805606453886,41.5275044954409,43.09986216224038,47.10122185758798,47.74448837199037,50.900097874108226,53.430791926205785,52.72982061385778,51.143351559770075,47.65552747370625,46.535203502608034,46.4301571277931,46.13445209601435,48.45760075656605,51.36825652261732,55.71033162772823,53.56041999360923,51.086013542831864,53.49946162475011,50.25559826897087,47.67146785810778,44.90864943160632,43.33666613624422,38.95956026261106,37.9592713224435,34.378601936776306,35.65981754340051,30.824986595265926,33.97138666512021,37.61790099857808,38.951234622652535,40.45510981518977,43.36303628434487,44.47315379605741,47.54925087860698,50.37649006818391,51.087479689872744,54.843493126871095,56.305781796009384,55.083857042397305,56.71870067182353,59.07282867862708,55.76590256029629,52.99896564158048,52.33641384535537,50.68006757682806,53.01915264936844,52.96214163205783,52.73214022368957,51.57780066110381,49.75014898556547,53.60781763450925,55.644159569438955,55.955706422716396,56.601732743167524,51.557081157220416,56.63581791624533,59.8346882248399,58.19688786760259,61.760949843282326,61.119375146661724,65.71128983008846,65.27370394127125,66.39649482109706,65.50953898238996,62.1501188725499,60.8683075788412,57.9912672513833,57.31939112065591,56.55920039487518,51.75245564832877,50.94869517592525,47.337904523464516,44.887014808112454,44.60843168152713,41.49845947229247,40.07432047233617,40.55235640583735,39.50397438284351,35.59465989413078,36.08775174183509,36.53371207627326,33.83856766186928,30.713532316736913,31.490518747343376,30.513149275598707,26.935486026280252,27.04126357694585,28.607469860835586,31.88648280726673,32.02150879769921,38.38381566644987,37.8385360649894,37.658795201770566,42.8106602111505,42.775752524171914,46.889970687507436,46.84328455970338,47.64174364140545,50.106850758923926,48.98411571467152,53.803254698530516,52.732865826449,48.70974562224594,51.997019150464894,55.85442754518503,52.738490758295214,51.805277433138166,55.924799839347024,56.37736361027532,52.57576509172002,53.38948328141956,48.45651931904813,49.76762290716304,50.81044983191137,47.12164174780699,47.821828690282764,46.96477842255046,45.616199158902965,44.148054685117216,42.016553327868536,40.85246290839099,38.798561297023305,37.485625031860934,35.23197899006031,32.552370412248735,31.936728778016928,33.732208450788164,30.833243084682234,27.178727828629768,30.058213504619918,32.36172436611167,34.588073978278004,38.077386782539136,39.793528771626264,43.57543754087599,40.84271449378557,38.62933958605779,43.51825184638654,44.357425683405694,41.7582342937996,43.716521710149294,48.44365742880149,46.89766082067903,44.25970857352633,48.21203867223855,51.236952837045685,49.318976403103804,47.08385316829868,43.203741389300504,46.72723470427978,43.480164451675854,40.752604195905946,37.4663452916415,36.53259395961001,32.636439337604095,34.887052560644904,37.92736544575726,41.50962272772703,42.775424111976534,42.031200377156395,39.84536913056358,42.48962410688548,39.768657220689555,35.44192644527068,36.76101014006295,35.433098415536946,34.72046216404124,33.30811052818659,30.57869581469413,28.794156486311635,29.67596326870143,26.957530136230336,24.997480311534037,23.584418343244497,22.441487754271993,22.919479866055408,24.03923804018732],[25.042123735390437,28.586390872574512,32.987730690338736,33.975167771246625,38.96432709566033,33.934286415508375,36.84819167802579,37.029348711961944,35.52961662700051,39.43905580335064,39.42461518437221,39.25821263428458,43.69713988223492,42.543351862590534,45.16403439441628,47.21448820917672,48.80783936723054,52.80995920908092,56.60520716923269,59.01142510903787,62.56941429004629,66.64666424838326,67.80987386123114,68.14938710434812,65.34524265769232,61.1172555957017,58.8530872382496,54.600261450770574,53.487220535256704,51.23603236496669,51.89325574781256,50.44779421391275,51.542055703132256,56.14259732556535,55.948222538218324,56.40939057148784,55.195778356257044,58.58193777611667,59.4976762756305,64.9850170703116,64.64277264723499,63.84108257052909,67.81758931361337,68.86172916198775,71.40420432789423,72.30490718430059,75.83826577777235,73.58515258410739,71.07389794694942,75.17577145783153,75.25493495993805,74.3718865711739,74.82704071051454,69.79786152719792,72.72323180015215,76.04117902799113,72.81980027989837,70.17647804041808,74.73136064149179,76.42783416616972,71.73546636276873,71.39383196588993,68.06522930552376,70.51869868545771,69.82422873521242,65.70375042063849,62.57433984803482,58.555162412102966,56.522599828955755,52.5031610453127,52.63973704021816,53.58024021446619,54.60647624333289,59.27675093513907,57.68552589459529,62.95749652633301,63.39166653233718,64.31955652063654,64.58335214063113,67.13734803178606,64.54287811297732,65.70034586234407,61.93839162100504,63.91088834986808,62.47190399867677,60.03233331023605,62.05685691517929,60.26461277441467,60.779318459597846,60.68909273760753,58.61741469092672,60.01136920639519,55.864666193661286,52.735181158272866,49.09687739903583,47.295657221247005,44.336805078591986,46.14658671852687,43.569675236492145,41.8365531833059,47.49544952085096,46.139451147267884,50.90862328186161,49.09622185023061,54.109663739431674,49.97387363781846,51.43813685936958,51.95311299803088,47.81811756376597,46.606930124860426,43.18557595100779,45.60607172590241,42.150210903443856,45.36155872268568,45.314429402303396,47.39949601300059,50.200473061432966,52.33114476117209,55.16248035826822,51.728500578469784,49.37317875985695,46.23636454929138,46.237654183317915,44.023425858491734,41.12093240880603,44.54287376885993,41.031375217073766,45.41496143538607,47.014683446335056,51.01238156099437,51.65555823704648,54.81093759221634,57.34316159150847,56.63792807898716,55.043958125622105,51.53229361266333,50.3927659264137,50.2350634142131,49.85190029353375,52.171644317404834,54.95325117777719,59.286715500845396,57.11920637781723,54.723208734734996,57.14624561033108,53.888759297674596,51.340898420419734,48.59867613456907,47.10292591283887,42.70538732794463,41.75942661963323,38.07676158409065,39.2901581948594,34.294425881969254,37.35688987320981,41.12445761022753,42.52365674603492,44.14894154032466,47.00753475235487,48.26868123097705,51.36132132340883,54.09250618776632,54.83616695706583,58.598187925244176,60.11314332374539,58.85957081969195,60.56166749869326,62.88433472157038,59.58766186303092,56.79452611381507,56.182100455480914,54.50165758884164,56.862320750006454,56.795317897353144,56.51902458378342,55.34342783811472,53.42422972505214,57.27451203538558,59.37573820939282,59.733917613449265,60.435960676583306,55.419697373072395,60.52536414002443,63.73171376297199,62.080449991219126,65.59439577041596,64.88986411464133,69.52011170526634,69.02481518348975,70.21831274267556,69.3525617333607,66.01396984405574,64.75332654803925,61.88526987653908,61.22216615290976,60.44753614444023,55.636608366007366,54.82179623999858,51.17981455250676,48.76443644659856,48.40057682501027,45.31574464369358,43.94913405438037,44.34159511009076,43.22500924895508,39.40019675338156,39.85919030507929,40.19367894140303,37.47582141363386,34.4667032338458,35.108376305716384,34.011261825005484,30.592975567884434,30.653501094111615,31.9533090653519,35.278607828001434,35.220626669243245,41.63836233973199,41.23426755149917,40.91214591693207,46.016926737771826,45.72218325557979,49.98943267582467,50.039832113344325,51.01189324494717,53.51135615694999,52.53529051252811,57.32835520652208,56.19557766564643,52.32065250029995,55.65907175027159,59.456205583759974,56.35119226237973,55.52013791699554,59.66261970263932,60.03214151091809,56.241112979337785,57.18894931120342,52.23220529538513,53.60139401130573,54.584611061382226,50.828590602404894,51.515054484147406,50.51788586081833,49.27056230031723,47.88975774983617,45.59766282209262,44.410993435280254,42.51754587594775,41.168963006163196,38.772450877209515,36.147412386373794,35.61245814969184,37.17838335448567,34.1987081460915,30.720939770170823,33.46698049305368,35.56836048610031,37.911147673760006,41.40982210541293,43.298049393187966,46.98486497801874,44.13797121308878,42.15112164580216,47.0620314028391,47.760648355084726,45.187940471587865,47.31962962074997,51.91954867888418,50.2533975959441,47.76288484191975,51.807455410662726,54.67791312995565,52.668328641216455,50.517051651942396,46.678842616213714,50.03475843118793,46.772416629421116,43.97034749952402,40.845149291673515,40.08019725853001,36.29478236725676,38.40564024757613,41.51383163754443,45.03500198609161,46.42685835428336,45.74379722715207,43.675370980452364,46.36804811001479,43.67042229488375,39.34430422709739,40.66167954060262,39.27524313914492,38.558711225691184,37.22663461211302,34.46217803319833,32.63241781858622,33.57368454952756,30.89097529964559,28.86859310780852,27.4256245844057,26.275965387050682,26.6528424312666,27.636123015372956],[24.993379988070547,28.424040674315957,32.918324514203604,33.12800106120017,38.34356306888925,33.27135158602629,35.94457069606125,36.4107378098348,34.388879637775446,37.954659153025034,37.83710236886301,38.07822534348787,42.36048680138521,40.73417110269339,43.44239518797502,45.74022585981107,47.156606718332476,51.01431694476683,54.54930676612116,57.24329074575271,60.617441712850216,64.84675064614936,65.80218561773488,66.07337557109017,63.47127940103996,59.14713032220798,57.14583929184585,52.90339506910951,51.94648982305654,49.9751693362873,50.32823400930838,49.37253077791962,50.4858726867772,54.945168253134746,54.813677278611756,55.04723340831155,54.18009051914207,57.278296087735015,58.22862541852041,63.93553973913712,63.217395848511984,62.26311539439782,66.35854342430832,67.35372376631938,69.69396485994065,70.57113125224657,74.15574249889305,72.08435088629413,69.6244799639622,73.86584623548424,74.05830971402092,73.37807167378766,73.84118115341353,68.72312167313656,71.81813029501863,74.90896390135669,71.50026218711083,68.97067197147696,73.52271359875488,74.99406342944062,70.15836294692818,69.77806741846175,66.49124620385588,68.64551465710319,67.99883994702151,64.02479312714941,60.557035407370805,56.66022258825906,54.31356011622449,50.33795446833045,50.24630022053722,50.968938068439904,52.28242435712331,56.99061917015064,55.73339488435353,61.096270703295495,61.73827116711908,62.860385265494216,63.263407348953336,65.88255722831275,63.57066458327522,64.80371749053947,61.32393313924338,63.324211420521735,61.66624063728634,59.133307804245604,60.88451122847595,59.317249946525834,59.41672571235195,59.46548626383817,57.1002765292983,58.33748246410756,54.205129518947636,51.26385100096535,47.57872980160424,45.6415023796624,42.62167764331161,44.982808229311175,42.615844187860574,41.44333688478329,46.91395247804083,46.040350700966265,50.530542836320365,49.05670641692882,54.12014319412414,49.980015052742964,51.8078384627071,52.254860926206,48.09494228670217,46.86609142360729,43.14665932974376,45.145014007613455,41.384995516886526,44.29001021046988,43.868914398310295,45.74523423699702,48.40599892611879,50.358463937012495,52.97033473494354,49.69720745681886,47.18961963757494,44.20556974678689,44.18726887257189,42.24850442727587,39.643327744469254,43.35878924231811,40.40721017549397,44.83526362835963,46.766133944868855,50.8619761199965,51.539057207506765,54.95358154960595,57.17796529301695,56.56208736667901,54.60174092685301,50.867777716417734,49.73129142276389,49.17081161369116,48.43581573297235,50.74327571191829,53.135924748239056,57.46156258202085,55.314162766794986,53.12732652107998,55.66118653763391,52.521937779064686,49.98360578089967,47.47286606397417,46.30001900735584,41.90550326250178,41.45643580802278,37.69684227029845,39.45210915997429,34.491807769442985,37.15671253783064,40.90514234926557,41.94310912576588,43.86658139691587,46.33088282124578,47.87046570024476,50.61696167504156,53.10996023589253,53.65213313907452,57.552598017377505,59.09502133102594,57.64494566064557,59.67136338512107,61.8916726627054,58.73677997538516,55.739318311802855,55.340591748803696,53.49833188542726,56.05234132704199,56.10930744267028,55.865525292581616,54.93573188237244,52.7683075981587,56.932117476674506,58.81797472903792,59.41513915415764,59.893195801142795,55.132228351732195,60.300462069209495,63.450717230034385,61.56586493512874,64.85822073130166,63.90242263004075,68.57379846781625,67.77756947454561,69.26393784290266,68.4834517255663,65.27170444740555,64.18204356038022,61.45376248218422,61.01798054884402,60.456899770167276,55.586880663088614,55.10114866081358,51.54083975860771,49.212485565528205,49.247493119146014,46.22263419377214,44.47826772669005,44.993944698036124,44.314635693449375,40.25258493155118,40.250979154925204,41.112008698536776,38.835230252484095,35.2009463874294,35.883959146174256,35.27802808966807,31.68766325067826,31.199522832860975,32.91288570746675,36.05589743544355,36.654365308538814,42.53177667283219,42.342373080981616,42.45314873176849,47.711095710515785,47.805791957851426,51.97043694457492,52.13845664187348,52.87221086662423,55.41944771838075,54.219455186256965,59.028413435971345,57.88209226750945,53.64497714279605,56.9727019611874,60.77948434155337,57.47545580104504,56.45711577038971,60.55993885567434,60.871292064604205,56.935864606328195,57.61924001889702,52.85603649271836,54.33784716950766,55.608607275824944,52.12422728048339,52.91423966255807,52.30260806445971,50.76016815757131,49.13832932590061,47.312387012891705,46.16986568570632,43.84257485829007,42.61202015472503,40.605607418025855,37.85544394559609,37.07261865691259,39.14876311069458,36.36847552257745,32.515948270117256,35.35386274925562,37.82499021427729,39.87892683531929,43.47500971144399,45.09063029036342,48.912185592745764,46.10545861380283,43.62798776236536,48.57251512672223,49.351983612150086,46.583863860883355,48.381086784854794,53.26485106148168,51.504613273359425,48.61793232214106,52.62380808719743,55.738701470026825,53.567657578012856,51.14485319269813,47.05339650129856,50.39640819378737,46.84056457595484,44.445879333911506,40.94881262900077,40.45007998674665,36.402380767590614,38.12445362200743,41.320695453051734,44.888848258775795,46.308228269473695,46.02616112508793,43.65176126708289,46.50599572246404,43.44171488780204,39.4438118296418,41.1272191871908,40.149149282125535,39.300117066908626,37.462635551893435,35.088288121176255,33.518035266216856,33.694843293492994,30.94592493528913,29.625515719315818,28.19434908183762,26.76474772087636,27.063872235084258,28.17680189722332],[20.06195978507038,23.530675427865994,28.155484088435898,28.467815738273888,33.848916813187635,29.19019563301533,32.1800339143141,33.03846441373898,31.372159056227993,35.05339547189882,35.418370487369835,35.85599230275627,39.72319711234889,38.197709149169576,41.36230617301887,43.506468684779456,44.54687077134509,48.64201522429157,52.07573724652295,54.69487509843312,58.1361004744701,62.271223108802204,63.23878480892945,63.29279880276883,60.58577390033017,56.31491948825748,54.19232487449594,49.9662167029157,49.28383317019374,47.428687732173074,48.43097414424021,47.27616522340566,48.83180566809268,53.339150613755834,52.79250831533004,52.782608285778544,51.68984957917656,54.50367985543501,55.176735601429435,60.809364151787946,59.98489713089265,59.3999372670117,63.51996239333162,64.26455910456666,66.62486926696496,67.2963979197435,70.92455641175503,68.93265802301123,66.2294437576486,70.36221304847474,70.76759036457923,70.01538823340906,70.68297393530696,65.58959310411186,68.96198096465328,72.08161761408527,68.66438635206258,66.38502232386689,71.04861728871496,72.35332714286396,67.65278933905091,67.63214479723482,64.5136530862266,66.70949227529668,65.74596326671812,61.72904270005568,58.42322985777908,54.589762850228766,52.240348260225026,48.45418502487359,48.31167119000657,49.369657518798014,50.744832271091006,55.318600025107756,54.05133876254234,59.659200159566346,59.87982726627937,61.242350913747345,61.30574055930044,63.64105768847575,61.18900454016102,62.05357890239482,58.56189166715383,60.24814632021349,58.450585293230354,56.2257784349656,58.2150899556628,56.92371316043652,57.17777973304146,57.69038560280419,55.41280394946021,57.0484475459393,52.92276805108427,49.967990535401604,45.998976964242864,44.43862726143887,41.084006536703725,43.34062472251691,40.71954164049598,39.637918409674576,44.79399033449285,43.517904986884645,47.890431699929835,46.0027598721271,50.73439814219244,46.37204524134427,48.07969713545585,48.21863071664006,43.937715571281736,43.01410809886497,39.191368028567034,41.37696420704785,37.77174405338312,40.620227497719696,40.61060935658776,42.33786069575385,45.298814513804224,47.07844416549648,50.15639831978264,47.05820441742104,44.45257513296211,41.345435641956826,40.89903657538705,38.78649557480266,36.02425984669932,39.41437533847611,36.30903879531801,40.72602925879015,42.548925584191075,46.82409946732312,47.14132800729986,50.6238352724194,52.86311804138141,52.53202489335381,50.400691934911904,46.76102648854661,45.274011587916355,44.96213784909416,44.37426394532931,46.904625397709005,49.371025797714175,53.86897888670816,51.95580450649348,49.650646619348656,52.314402191353004,49.37809250092484,46.67086360644015,44.28149263746565,42.97260032385744,38.686417043728724,38.180956193634856,34.8234547452331,36.793327872137134,32.303668256127715,35.18300216553007,38.60109632010406,39.40778259040294,40.980050723779165,43.52800543103087,44.55645245488724,47.06822288396643,49.891589320912004,50.0690234517665,54.090262144994504,55.27832909883737,53.590225897287525,55.48406695664783,57.547501755369396,54.25545236414318,51.395902645039286,51.04789319077216,49.43361505054425,52.18907296055773,52.456161666668734,52.48592041631267,51.72286063245285,49.85136703481303,54.08329840761921,55.694819279204076,56.14542950113387,56.3062848733637,51.46858900401102,56.43516877960064,59.48263145514673,57.613885284685054,61.14620329690291,60.3991508629282,64.89282868868425,64.03974734695035,65.35350823851212,64.3835829380071,61.20204754247521,59.88377912573449,57.07961622013785,56.57410477873289,55.8757629290581,50.9805706818616,50.49385171756266,46.82709772154158,44.721734464262575,44.66422026024935,41.864088925160516,40.03039671093613,40.256514288936685,39.720108414048255,35.72366159989274,35.37653232637794,36.260837865037665,34.311848990116815,30.43367283093924,30.92480693629701,30.46343323552407,26.995499751527756,26.187516129665678,27.858410048476642,30.94880871495632,31.744180145979033,37.38094718274902,37.326151127320614,37.59409961999104,42.90771044462327,43.18729469502812,47.308022763197485,47.6637888048688,48.349004657109674,51.03486596024624,49.89863455982566,54.6280431261969,53.304215126450956,48.9989845589204,52.44314029663143,56.088961228741894,52.65603906074729,51.7112809022898,55.86131918711528,55.950109259264075,51.96561225093401,52.825720480164506,48.059660919722084,49.86645895368387,51.16758191607798,47.7655807568516,48.83443434437806,48.4262609835346,47.00449802752823,45.05203413585454,43.30922438336401,42.5153644068618,40.008758315353724,38.47147103387808,36.77481242100188,34.115940483001424,32.90928654268711,35.08089517242459,32.57072309659673,28.49200324111343,31.03790567986987,33.68191253923724,35.478181153136305,39.210071999331966,40.81065476662753,44.576476715043846,41.62482831118423,38.9703080259952,43.97648642650675,44.617921318095675,41.73498736797536,43.513598110920874,48.41948548651557,46.501046394800234,43.54783235033154,47.6191952161633,50.70080144101065,48.42282112424144,45.96639096064839,41.85335120497797,45.13397204522527,41.559415960470005,39.190980507427255,35.69654290356669,35.306475687894626,31.325894766113393,32.94783986199295,36.17984655258775,39.7008567010814,41.21838981683707,41.023596557135015,38.85047044175933,41.87620905114314,38.97203289829482,34.93839049530557,36.989455542323874,36.05641588239495,35.58016451045589,33.40924295677236,30.80360188767039,29.67423374350341,29.969921696358156,26.650823171001647,25.417579782054222,24.573241909019522,23.39588681782051,24.144063972813665,25.543811236688466],[23.22273080009813,26.754216863274127,31.540115799447154,31.954989184280656,37.57133358462441,33.378319596851355,36.548447358328204,37.64481469901757,36.09307568202224,39.7193357762183,40.204925952231605,40.76357071661579,44.49335095514866,42.86483449807124,46.15854900398978,48.33270327656001,49.21563717750805,53.31705983485387,56.59204142668579,59.306882498093586,62.679622119543616,66.83932420961341,67.7053763589507,67.63071754594287,64.99280585559625,60.71406482635079,58.67062573297981,54.4690671265566,53.953392771585115,52.21127811779088,53.28071054865291,52.188596617680524,53.79361233379586,58.28356435225671,57.69926316270347,57.60226681547241,56.51778611874986,59.18427009078407,59.75026814071842,65.38546801031552,64.40730773229375,63.95052760120579,68.11312907731941,68.72987578799129,71.01355975179794,71.54989823386137,75.23008429667732,73.36238920103874,70.531973833273,74.64805659518211,75.21647593803068,74.48079560239644,75.24944668941728,70.15573984237069,73.66110405474834,76.74420062177086,73.29063793874114,71.12476674711058,75.81574641586317,77.01468538807487,72.31889051406547,72.3840038185123,69.3174423548994,71.41235780323964,70.39892256351668,66.43273176790434,63.03972195816326,59.28557163373478,56.79770649527634,53.08703561776447,52.8147401206271,53.799315092835386,55.34869314695983,59.90536097480637,58.79339536439289,64.44832473683933,64.68780215846067,66.12763622469592,66.17783599912703,68.4696649632364,66.03269036342238,66.79629837872683,63.33232557569821,64.89656537799601,63.02568389689369,60.926456085102366,62.95168075544948,61.77233004380049,61.994205990579594,62.609334390396455,60.28699051312232,61.90870153889919,57.792493076311345,54.88392458392877,50.899806944646755,49.32450324304462,45.95005029634181,48.30140707927572,45.68219857106163,44.606311621587075,49.72900239915312,48.34072895866103,52.7062408260501,50.655291399646956,55.2271872532094,50.756690130536626,52.30624720845767,52.2442488072583,47.88258910918269,47.20946908816018,43.381599610410085,45.71920080190826,42.213839305953826,44.963535145010795,45.092568967700416,46.64155794225008,49.69593458336118,51.26957315907572,54.463489373304455,51.5471292328458,48.82529629058971,45.76674780353898,45.070074822703965,43.01902725114684,40.307632763970105,43.52607579419811,40.431285864676575,44.80814394869262,46.52955515416585,50.93526714605796,50.909521289853565,54.415094620060316,56.70390115665772,56.62572878697249,54.36384614513664,50.80863219108369,48.96310805997479,48.828770997558706,48.24978635628951,50.96689433858461,53.26851454408098,57.88930958905151,56.16883184308321,53.90102488972743,56.684348441781474,53.90161504493459,51.1220878334794,48.86410409991138,47.54275834780408,43.325039229238286,42.79644912943491,39.60881088829975,41.549843687370874,37.13845364200852,40.120078887973165,43.49148318167649,44.275649190026094,45.73009918632085,48.311477145057985,49.137520519181244,51.50875512288732,54.46656343992452,54.394455054601465,58.51218167200399,59.45878182573669,57.515902445194676,59.37739481194763,61.23107920798147,57.82516635666164,55.07752527836551,54.861254479618744,53.438538624882,56.393858207081976,56.82292174153131,57.01046595668285,56.332032241390294,54.580748062150086,58.82415211090405,60.33455903879942,60.71682090342804,60.71179322023613,55.83979997309355,60.65847084443349,63.62260564759852,61.76966586179807,65.44351704459113,64.79080552644537,69.16676299086906,68.178345925175,69.4390841522212,68.32690159372233,65.21181325408583,63.70668281031717,60.84213931204278,60.265207172733355,59.38271792404232,54.4748966187738,53.9256391024706,50.09447700394629,48.26472809846955,47.89819307619493,45.35281482843622,43.60645529361214,43.375558111581796,42.77492596965827,39.0478840906894,38.3872270907731,38.985261945638186,37.230254150243844,33.474583773592904,33.509525550175134,32.86041180554085,29.859329754188575,28.790239213496662,29.78258298010415,32.920141462342244,33.41220564272112,38.97550306404271,39.32187589758629,39.39849707220396,44.64353614843341,44.55771792055093,48.94705822041142,49.672711527622816,50.679428444532306,53.56647552950835,52.8078775792552,57.4167421126198,55.78786146797165,51.74753547233377,55.41113031088993,58.77820500865999,55.254916093755845,54.611707369594754,58.855416163688844,58.55851296333498,54.570310536586476,55.90397460531378,51.07953243972566,53.29811309107432,54.47773895871358,50.98907433766204,52.283918403913376,51.75167712321782,50.67079505282193,48.60454078380257,46.56470013891166,46.039029365214546,43.727421270636206,41.82246549939713,40.07401505520604,37.60766086145108,36.210533754663764,37.959005625446224,35.50477565930228,31.595678806560453,33.618869898639375,35.98915681122697,37.80972894557574,41.68422686775648,43.64231268433667,47.16027461561949,43.833254018488795,41.51676977798101,46.6204111913234,46.83487990220812,43.91979929822671,46.06867184322989,50.696256359498584,48.38825929827319,45.72380806376159,50.04055483518842,52.73615737697341,50.180518749927494,47.90317107093752,43.908660944972,46.752265784757526,43.187700509872975,40.646502634462266,37.57099503192953,37.60695003247366,34.004093783441945,35.28221365501886,38.64536444693193,41.9553660222173,43.826521806441114,43.78885156295426,42.101119435434,45.3443633048479,42.705975404537384,38.60429580631273,40.913315056990236,39.84065339040499,39.70315349021137,37.48876485181934,34.5438820700012,33.6507983198786,34.31440818179901,30.62236964330866,29.181421180740514,28.73098810007982,27.82493920245093,28.738153448483246,30.144553340366265],[26.14464404328859,29.509621611027097,34.2522048784097,33.94372029931223,39.61669949953064,35.17804979100324,37.96227231540083,39.08461125106197,36.936773452143896,40.19481911633009,40.35704711500925,41.15566474490129,44.93505598835542,42.867656649956736,45.99588720267725,48.44074944644906,49.35373896224499,53.19661065379855,56.28490962113051,59.274377278113185,62.44370773354038,66.7707553522002,67.44508722928879,67.42270352638843,65.0205861264216,60.64552421624994,58.89720004116462,54.70989810603896,54.192155346781874,52.63427860310305,53.12196070922555,52.54160564413953,53.937542449903276,58.26568154134173,57.943720918912206,57.778692627900234,57.101249640043804,59.66273776857065,60.39766498494702,66.24393825506174,65.00290069784411,64.22635903064955,68.4680370401587,69.1682771261907,71.26323868915001,71.88751776903075,75.57687370905472,73.82569061832608,71.17836787941683,75.45590759349632,76.0082107803741,75.48678024004772,76.15595355016085,70.98388837684962,74.48046841087634,77.35286305517084,73.748721279462,71.55567009590881,76.17874250634533,77.26667645040732,72.39270510008947,72.24044000722745,69.13290337421178,70.94533574465564,70.1346672257901,66.32665940517353,62.572680133463216,58.90565442010824,56.15716182475626,52.4105855838149,51.96503447451605,52.58650398357064,54.35165570188435,58.98864041400962,58.17350023817602,63.76582449736832,64.38978960712387,65.86832520386737,66.20609658350763,68.68942629674667,66.5703509614591,67.58484466280302,64.36929057111394,66.12062424400833,64.13922667809985,61.806982547223654,63.4754842386065,62.348394255674705,62.1418690252405,62.63830093442444,60.03403053030982,61.32070412612247,57.231028562189934,54.50142910624661,50.63766293029104,48.77782716421208,45.53452797921028,48.37805719864475,46.07033154178822,45.40861433237859,50.50981891252505,49.7212821192804,53.903665759721896,52.3489949237628,57.12333823923937,52.78159157275042,54.68983084383363,54.74406030173681,50.44267665632593,49.58503595611688,45.58046031606143,47.458812487537934,43.634430743073246,46.14714574262774,45.749178112149785,47.18842314397203,49.957603862782065,51.45736804843532,54.214946826869046,51.36390827287868,48.57037575191065,45.71954395250132,45.22137408666781,43.50731540198103,41.14378306911727,44.76618209009639,42.23424512885162,46.637318898721276,48.68910961272613,53.06365471779459,53.27036469679651,56.94572765874678,58.96127712934176,58.79733124393209,56.330813160054824,52.5435668877042,50.90282118902889,50.29129937705965,49.33636655239945,51.91448371172715,53.835800944763484,58.34268303598774,56.524651847874026,54.50547369313173,57.30685265435952,54.52926699819969,51.85367955340351,49.73770522011926,48.76103389907375,44.50834825319208,44.41868834819508,40.9781840799764,43.2323561772957,38.63498390375148,41.18329067565436,44.685071303243205,45.288804570636884,47.15630533249308,49.36232964682085,50.67710183347714,52.876869367122225,55.45418150369644,55.402192729731,59.56174452629639,60.72129151596411,58.740741690268635,60.94580122263466,62.79432512371656,59.594520048568874,56.60369572541824,56.540021617225555,54.859076817089445,57.8604142015215,58.27975773636364,58.34928420340876,57.78895513334863,55.6850263850522,60.13967029520248,61.60914116508291,62.26769527327684,62.24549857016607,57.63649367929524,62.6052119029477,65.57415922077078,63.52110757510259,66.87146872283134,65.90008485312451,70.40196414416918,69.18332772383641,70.78322366419583,69.84800493958161,66.83403264675526,65.59969208405568,62.90123010045984,62.55655820289969,61.93680515209725,57.004798772966836,56.73641869520878,53.050709849521574,51.163067411820194,51.19254772779093,48.56567143363734,46.561642342732426,46.61848202080886,46.30254316303695,42.34219559575691,41.52297464348261,42.55745490589074,40.96755071831366,36.854292459617916,37.06959483668427,36.759313706223196,33.52607637832243,32.23187068828496,33.6465884669162,36.631111710304324,37.57296100467897,42.79431455699565,43.20359426100461,43.56250935466752,48.88373092927057,49.040353592824076,53.32596715266716,54.00519483349841,54.82149900702686,57.64990180483474,56.649188837876544,61.31392537904814,59.79580700452465,55.491239809790265,59.057679672826005,62.53180375351982,58.92937193595577,58.072514703087144,62.24439567224367,62.0444904797365,57.97146739925523,58.95582012418867,54.309784895721826,56.415990949334734,57.818453461932585,54.51957951457828,55.72945320088709,55.40405605107399,54.00213894730639,51.9321116742174,50.243183563659734,49.546120326335824,46.980469519246036,45.364404130356064,43.76089729174121,41.139601599037505,39.80117789897631,41.923595434879246,39.474922152927384,35.40380482328867,37.701044184082555,40.27679211179719,42.00940563587798,45.8568147367625,47.57358351706797,51.2393889123814,48.06677713296183,45.437468930725146,50.50719876142861,50.89760485843628,47.90187859888838,49.74977784747612,54.60364749954515,52.343097479943324,49.378526277699414,53.592354120646085,56.52848877121883,53.92657982039867,51.43617911304964,47.24867216441995,50.13379738325297,46.34007544725183,44.16994419780885,40.76609506213764,40.932287193719176,37.0635027052538,38.08491940122291,41.47153639001477,44.84233080668112,46.647376731225776,46.890488896170694,44.81510890736604,48.075712548891914,45.041583523101146,41.255120844689756,43.64268958553831,42.88514908897569,42.42284760172095,39.992211542739106,37.51687090241074,36.582976183005734,36.563757654741465,33.14870827519203,32.23347830113055,31.454618527129313,30.174105433497203,30.79987654352074,32.123654765933495],[26.128396986169818,29.342386648502153,34.103151977565425,33.33376184735822,39.158031054236396,35.01491283391608,37.73119987978915,39.19206011878584,36.89168851125915,39.89617659581104,40.17562327660655,41.314682181726475,44.77820143659102,42.435145010777724,45.76320300293817,48.297901446814265,48.924743578870036,52.716147682476205,55.531927586501304,58.69198479707364,61.7266482343327,66.09697074100492,66.61582885241565,66.44377170096104,64.1722249463825,59.77315715667091,58.18605992698249,54.05149954500916,53.77300704222515,52.47532236591054,52.99085411762084,52.67622240371782,54.224970656166406,58.44232600058088,58.02074632888373,57.6131767627553,57.08995508045058,59.32121608612793,59.95989758867408,65.88692249404252,64.33775501410152,63.61665668271224,67.93464953945075,68.48310024140699,70.414802266645,70.91825300228972,74.64603481073524,73.08604365767955,70.38343926792807,74.69172932069058,75.42556870786478,75.01353614901217,75.77639657833144,70.5754614471444,74.29156763455708,77.00954676816161,73.28556906488879,71.28737269801242,75.93139027157962,76.78676720127118,71.88658632538264,71.84664813381443,68.85097689720112,70.45076373678177,69.55645742284466,65.86338606828025,61.94768244612575,58.42227865713747,55.44612852708422,51.84374366717604,51.19859395758201,51.763143680367996,53.77124829496901,58.345764804342,57.79530498348855,63.50328921725008,64.122905139637,65.81545395417423,66.12772909944269,68.53825874865868,66.56489861316608,67.4801623817733,64.4616165599118,66.09111451909443,63.926853736971,61.675921529471054,63.24106082842563,62.37656250073094,61.953823524633336,62.71032130304807,59.95437346515815,61.25920679135769,57.213020434561095,54.629925464333425,50.67473694121133,48.867834983993205,45.508603971994155,48.65408279754549,46.4194393530946,46.12714712701265,50.963204326196326,50.325547091332645,54.26587467419249,52.76759713312188,57.4023538114388,52.996996985840106,55.046773491967244,54.92311582650187,50.58622280418321,49.86991580425317,45.69362305530094,47.37684741216082,43.472482158247345,45.71201645024243,45.237514770894286,46.42509218552543,49.193524315038864,50.445603578268035,53.214483077598615,50.60600299473738,47.67254521146483,44.931114631808626,44.21471685911442,42.67152937356368,40.506896798163005,44.12799163422807,41.95825791662563,46.321117185246294,48.50824276638584,52.98754461346405,53.028721936764086,56.86732017569362,58.68643592268551,58.72496679699029,55.95528999185883,52.1074156550955,50.29031744084223,49.52995639814935,48.39023666823879,51.0542403841854,52.67296698080273,57.231899982722155,55.56646265530802,53.675850367306296,56.59998096293887,54.030245092345034,51.31331305710596,49.439833457853496,48.63512473303723,44.48240887302396,44.681536611557384,41.39471353609767,44.00080742800652,39.63831955910298,42.002308960385946,45.346812936600074,45.65336071846743,47.54768002380575,49.52315284860755,50.7950040947404,52.64948665797537,55.18492322312377,54.82707803997353,59.1092929229484,60.10325461988061,57.87117753979706,60.227963167305745,61.89635794519125,58.744029136813445,55.70712997511802,55.83539831603968,54.17761372851386,57.39327064142822,57.995378682440105,58.20781533800902,57.88022454334892,55.75501283677424,60.39695989065374,61.61492947868206,62.35627719864646,62.05472755533566,57.61310467123156,62.493323363358186,65.35895690684926,63.17197120943886,66.47007992969155,65.42005085374188,69.84303011492568,68.38648153531662,70.10583813515409,69.14254901127886,66.24453514567755,65.01680285874369,62.390110783053515,62.15897408042367,61.59741874484036,56.649760649211075,56.58260679036689,52.91128982341266,51.22182358094282,51.408737593683874,48.96141967311124,46.73805363717653,46.68978927262304,46.67636399651033,42.69259049432551,41.43196208499518,42.73189948505038,41.563407890352,37.09126150449658,37.18046141450753,37.183952870450554,34.03231006854912,32.28739274124928,33.78353154491408,36.583422986040304,37.9184971816675,42.63140554070569,43.29416252240942,43.92602166779647,49.280742939896356,49.61478973464724,53.872252894158365,54.7589744530974,55.46896688632267,58.3806746692281,57.34491196837235,61.94316026726458,60.31196495259328,55.85092443310625,59.46159072216199,62.81501156029735,59.0561340573598,58.172000536102274,62.32585718331036,61.94590099516771,57.78608002835823,58.751784264104515,54.24853447384625,56.592087456447516,58.15020060867727,55.04710789192607,56.43647552890788,56.37452843722079,54.910605935916735,52.59829301751685,51.15892638705531,50.641435175137445,47.836986702033215,46.147533591191106,44.8599639172822,42.255034709294485,40.64378560146209,42.9791467857914,40.74941534781183,36.50223424045893,38.646649607845205,41.39474557106167,42.874628665816275,46.79803575640143,48.400258309013594,52.05285346381737,48.82233931064661,45.93867826339085,51.01611323581764,51.329770515472795,48.20223690089746,49.8909625438073,54.83116255061135,52.404873712070604,49.25224060703235,53.47411808362722,56.45483453635345,53.6786213375439,51.05766447844913,46.76374289719677,49.487862579303076,45.53786026050311,43.64845042644133,40.13094822012675,40.60166661099308,36.72744887387914,37.35676546711368,40.78796145307819,44.0824316230739,45.99557373162284,46.56570158899085,44.48234390856061,47.91024561188479,44.78430055621644,41.2332904341555,43.97515492767182,43.453343651292336,43.09762680182283,40.2968204405745,37.95337795024251,37.35467664898773,37.005722046583216,33.3689529513629,32.87957794374416,32.36503374734089,31.06066498094361,31.784460340451233,33.20979285187807],[28.564910343626014,31.665177640889468,36.29328894521418,35.17636232203789,40.86660886608567,36.39484637213472,38.769647514539756,40.05503796682328,37.352885301308746,40.12010036343321,40.05853298244439,41.23138667079012,44.842524134471844,42.28213262718656,45.331314671120225,48.03124123271176,48.8202968026183,52.38212795737241,55.15633180370678,58.44746665918007,61.36160242801436,65.82794877204354,66.27238430629166,66.22808667472711,64.09921761690939,59.648549856013034,58.2365854426314,54.11610032493773,53.71142831215037,52.453403904938796,52.45146188247263,52.45302569701618,53.743057269385844,57.84378181964721,57.692584239831106,57.34444862859231,57.10005525973688,59.39049663382888,60.22508838875697,66.259010622114,64.65647017872146,63.62637956882307,67.9515331846638,68.65289089092552,70.49654443454605,71.14059404880112,74.83559426439751,73.28672171844072,70.7895018086777,75.20595384077829,75.82188983732847,75.53317411146834,76.15903195957699,70.9230847326941,74.50644587544114,77.11244898239855,73.33472210634439,71.22287506307372,75.77639559291993,76.65213326294881,71.62897674073281,71.34608673508316,68.27064360503316,69.73195402378303,69.05547120284092,65.45470018783215,61.33386688192629,57.82859033725166,54.759657121927795,51.07772544316183,50.38840150010306,50.66689140040136,52.72427438347975,57.368815440754005,56.947561550197854,62.51589683868605,63.459969827313564,65.07677650405081,65.64409757442944,68.24190570492166,66.47689433116894,67.65538199829508,64.76890041712562,66.61128859880726,64.46072524979375,61.97504794532884,63.27298144209261,62.32830802269733,61.646244335439185,62.174127662618815,59.26416761620163,60.26869668392868,56.25006569850227,53.770998590661755,49.98823410951452,47.93299250532486,44.76707211267734,48.16807573432923,46.18680500257833,46.086871144694484,50.974197369555014,50.78442104969492,54.648279346794155,53.561525505393405,58.41277583810244,54.17941136030452,56.464276327717144,56.54021180040134,52.30218674912121,51.3497716112548,47.14422396196386,48.51059963392815,44.40618376555725,46.55921863327323,45.66610879617211,46.8831240589445,49.37252412392042,50.68855033950931,53.03980966399403,50.376970616297605,47.48181389708781,44.89216320216645,44.48292083389676,43.15991555008479,41.220598240599074,45.15813963054384,43.30837943759402,47.6748673222873,50.06291286690472,54.41981916959762,54.767596356966,58.64274757614182,60.315283101419034,60.158974739640946,57.39154893658753,53.39841929262422,51.88986802117265,50.78576501670019,49.4235111775829,51.88536741524345,53.331055985282,57.72506749782645,55.890145017767225,54.16020774982875,57.00700563303316,54.35095344401274,51.769148269101294,49.9055721951922,49.32045731005977,45.1272644328639,45.56071627366111,42.0179894641323,44.702928331542005,40.13754699741432,42.18339690540569,45.6682809651751,45.951849951419824,48.16790669592078,49.91307923143492,51.619451092534725,53.488872509911744,55.69037739052019,55.52165861098462,59.74374814465941,61.012441411137225,58.914507324950044,61.47732570342841,63.245281228150674,60.27498080217089,57.05974448549314,57.20679982786185,55.3100818097316,58.41871191134078,58.90594278783318,58.93564337611213,58.59547236008524,56.186957916773,60.89180339889766,62.19202604566522,63.12683891628987,62.95746452386495,58.68998534880692,63.72615997096824,66.63961646641869,64.35383369024733,67.37556023697988,66.08247926179864,70.64209612355182,69.1295779820857,71.08042985404295,70.3020916964976,67.42890276584609,66.45840517360867,63.95710386406754,63.874502409149656,63.527068853903366,58.59231619725307,58.666655509029,55.14435210979335,53.29106993384517,53.7555499531808,51.14247031928058,48.82214994388899,49.10448171247428,49.177589384689426,45.01890679634631,43.89133033978103,45.42564440508099,44.167521734489725,39.61532383676199,39.95260361659274,40.0791195231058,36.69029657875009,35.04460880676106,36.87414341237972,39.627975995637634,41.13073216466769,45.825722146608314,46.35376348745529,47.088382027415555,52.47232620208624,52.94607794716705,57.10557364431105,57.80533652146948,58.37337980346876,61.16690425892686,59.91358901885283,64.58523860209917,63.13964563482002,58.52791697515295,61.99719768439816,65.51564601835742,61.79594701001272,60.7198425726652,64.79806944686409,64.6325325727556,60.45952572641861,61.09222319001101,56.68790158744141,58.7681284295929,60.4394408919817,57.41863862824337,58.624796113316044,58.62014160790467,56.900733711961855,54.71867660101894,53.479030413671715,52.72149686556182,49.82168744755756,48.43872992526852,47.13135037020991,44.39805255849276,42.9867621365165,45.537570657267494,43.21666365564523,38.94203387205562,41.40089996715619,44.23768186593147,45.76186015150475,49.59612582431681,51.017703562042385,54.80669784859105,51.77999210543327,48.747038557708365,53.76307979089,54.30256608188192,51.190373681700606,52.667961434991284,57.763119417419965,55.51116022004113,52.187828736745,56.27609648730292,59.46688733434839,56.786438553801894,54.047375791500365,49.65956260101407,52.54403260558713,48.509554922994994,46.80963027392414,43.056209731430755,43.418211227627616,39.328046850773426,39.985199797379245,43.364797390367784,46.74713549497245,48.49389066594452,49.104264666308424,46.671331583059,49.98112679741708,46.576808337870496,43.206367367804994,45.78970183669146,45.42511062993555,44.73674321125955,41.96871478319262,39.98984623020618,39.18924087132123,38.428590912316686,35.195104387680814,34.94799701657149,34.0378221030342,32.44022992183325,32.87802157433212,34.14770118456623],[24.632231931677225,27.641698110734914,32.143824528450985,30.96483327069192,36.52247695550258,31.858833093400406,34.16111524394156,35.38594535729516,32.66963328099951,35.496185911668164,35.46755965126888,36.610562391639206,40.222327393821544,37.75913314373253,40.84944522213777,43.48957631261535,44.29965104894752,47.94154674678006,50.83504806303885,54.0229728719965,57.03049417558723,61.45338454798079,61.99831739058856,61.99452149615276,59.75667375877102,55.3212527949274,53.7929071491091,49.64846882964685,49.18627329069308,47.86161607433086,48.00271284940212,47.88403016887921,49.26275011043103,53.40633552275898,53.161574289519564,52.8189105382502,52.490493144910104,54.825032287509885,55.659692524318665,61.6626656991527,60.166801876605234,59.157785045650115,63.45533264044508,64.19116773913662,66.12147884751656,66.815472716644,70.49084232938934,68.84536288310382,66.36824137432366,70.7588264952029,71.30614564400196,70.9753402712647,71.572643905866,66.34956062846881,69.90014131224136,72.55780852998957,68.81720394601435,66.67638881688951,71.24797334189304,72.17891753004169,67.19378250862033,66.9552170076526,63.880556147383125,65.45755851361825,64.72010475983807,61.04823325598998,57.05136936472706,53.48524859486098,50.53377821197286,46.82321829448102,46.23228156771809,46.684002665346924,48.61541576562273,53.25838637183815,52.68451685979487,58.30213424463267,59.09729074308458,60.71655723193267,61.18637655894836,63.73378000029742,61.893307843847204,63.03569872238857,60.11024035588761,61.94719909251419,59.82438416261182,57.33936551764185,58.695716210715354,57.732234477252625,57.14184818503813,57.71967309570142,54.878850323064725,56.0232517793937,51.98332625979941,49.443270062107786,45.579196016064564,43.63419676162272,40.37526801141656,43.68073675568619,41.622708950767795,41.54404524597912,46.36857018784179,46.146212860546036,49.98267566788741,48.899344316425704,53.75953651466099,49.556785390203025,51.90070419003441,52.03294289201015,47.83935061856285,46.799925518524276,42.5905674296237,43.89582612105421,39.771088972762996,41.9774032879172,41.09513223958026,42.411459455247986,44.92554518051762,46.362835563807764,48.78171014401633,46.00647440745988,43.16610164541244,40.48455352128741,40.145442309491514,38.716955720859495,36.69257742216185,40.67188781248581,38.780176148201214,43.15579903324029,45.57631838672089,49.876260068759294,50.36371926152957,54.221325247245225,55.87217994226818,55.61271286545602,52.91101582866045,48.89646680756434,47.55112314151309,46.40201811961158,45.08518879576831,47.47580343398144,49.0902187024681,53.45707306727152,51.53522865633041,49.726597610825344,52.52350800518955,49.79597275355555,47.2155227028029,45.28037499356505,44.661650538881894,40.45266582741641,40.89188882563015,37.35012780325387,40.10474565810128,35.63483804997834,37.638268263042036,41.05426048194192,41.28995334068959,43.495159901779374,45.2370053305417,46.94803017068813,48.85925979533297,51.06197861601544,50.982980012210675,55.1650937787079,56.50831785981983,54.542384054809325,57.07378079172259,58.95933871869721,56.021382254973716,52.773771399982486,52.82886058006048,50.864688889548376,53.87608870733289,54.29703588113714,54.2864865831812,53.92149586001509,51.51633553748174,56.21560016560385,57.52383906023709,58.457740247761215,58.33028831964407,54.05800750694567,59.13294693214584,62.07589660879605,59.799418778371034,62.79408051410741,61.51322777332378,66.10932374070332,64.69148666550306,66.61630534222417,65.88410178585838,62.96236324013271,62.04739116288809,59.560931688654044,59.497785795668314,59.231472036076795,54.311406561739076,54.41546546280415,50.98810260963207,49.008964996620406,49.64562267269681,46.934250643692195,44.54942255974147,45.059480939024404,45.20505074767656,40.91996119192342,39.914526331792516,41.62995474690153,40.33872792776804,35.687054456614995,36.26270811185739,36.54395871950061,32.93591646101882,31.378979610351852,33.59587144409237,36.277288471498686,38.010368523336886,42.6802854680142,42.9750456846169,43.85580859672243,49.26761941337699,50.033710645884206,53.97186060585633,54.47455821638022,54.82383898699185,57.50350825765821,56.030969231602,60.74735188751412,59.46522599148031,54.67895619868052,58.02816288655309,61.68679136554452,58.00654795951622,56.756359738532666,60.761926980233824,60.81361664548367,56.65985847141823,57.014632286279586,52.66449681220787,54.53504715270791,56.28046474126715,53.342980221373985,54.4627414030987,54.5853455996111,52.68262202955507,50.509072133950525,49.48875590474596,48.64554156474322,45.596343720659064,44.39080655430224,43.20442684051788,40.39771063854727,39.01555420710847,41.83236509773089,39.56964793428775,35.186369490515716,37.861732253991455,40.87981057116408,42.31428797499988,46.06393458269595,47.247262319710586,51.15802186100665,48.35010876878355,45.08527928474168,50.02198767611404,50.799590511244354,47.702254808290874,48.935019122587725,54.184422368764096,52.17089381872122,48.66523149443907,52.590265311880586,56.01150644402112,53.5095291555691,50.65950194564593,46.20776131162955,49.36477142974585,45.349281136559576,43.749295651128634,39.74273425974864,39.84210723273401,35.55231282262334,36.407889363582605,39.69371337583838,43.19433086951994,44.72232863843962,45.23415912386894,42.54258150521555,45.733867939611116,42.204966904402355,38.890400028407576,41.38437338970305,41.13162914403849,40.31008272340722,37.501521697466494,35.724197103445455,34.89110459110867,33.88147479766217,30.811258837993133,30.75462406936401,29.743245144208323,28.101606943490868,28.50403710943489,29.89126205004218],[30.459490537726314,33.22588488889111,37.58087873964833,35.754568208984914,41.23889000473994,36.58493838820171,38.42734312466086,39.69549949116259,36.43550956626163,38.68777649754238,38.29050313938963,39.72808546847946,43.23758654540124,40.269688539769945,43.081826036465685,46.005915345119796,46.78720028796135,50.00830149507033,52.547351369350636,56.063888589284176,58.73482022769806,63.31698908548002,63.57553998478327,63.60257310674012,61.72495071227364,57.231604630783366,56.13512118140627,52.09582144043306,51.68774425687903,50.65790740686232,50.07284037539844,50.63084968835016,51.731687435312885,55.58181726338996,55.66297076628334,55.212839458142774,55.40694830115402,57.52721766317392,58.52921858467072,64.70675380461104,62.86061413070033,61.49490349807215,65.84645856384404,66.63914809059908,68.27950440101239,69.03427215936526,72.69312021880785,71.25567779004575,68.99898833431767,73.54000239465802,74.1077291249472,74.04815865001139,74.55201046529038,69.28806000528274,72.8295554237066,75.18466773767486,71.28022500504116,69.16551650318912,73.6079788650965,74.35647044357245,69.19753061855667,68.70689544504776,65.63193738113225,66.78947272063535,66.31120196960126,62.909165198585704,58.47199642879381,55.10551630322951,51.819770651199015,48.16505465907443,47.31028017675199,47.22940975248885,49.47442455572475,54.130144135313074,54.01662402030985,59.47432420569638,60.76791319239117,62.440693459204866,63.27057784882267,66.01584457946299,64.60578436998262,66.01762947270592,63.44743101941331,65.45693622227775,63.20775527546884,60.50576107879883,61.40643931330415,60.55502276702894,59.422620376761444,59.87261644471771,56.69804855687829,57.38147605548691,53.45162980067584,51.214972110760485,47.58924511023714,45.317785368321125,42.31764933820368,46.197272723410535,44.587300436086736,45.016704332856605,49.68531961004973,50.14709395531214,53.69071095349645,53.16198277804769,58.13281655822305,54.115240593256225,56.77969265668619,56.99018338188058,52.90352758286508,51.74355421881759,47.42743413530147,48.237825833647385,43.88202549578812,45.72804930304787,44.27090885420616,45.365283560471774,47.47891484293905,48.72988937043724,50.555660827882946,47.98195112792973,45.084385385469346,42.76877609266221,42.6280297356664,41.69048401022914,40.1754120498255,44.46399198917408,43.26724583043695,47.55174541814293,50.26019048257318,54.478753331016016,55.13162020827722,59.125037357647706,60.462893777106295,60.17311575606655,57.24654079681132,53.05803194506741,51.87964634908487,50.25238395012698,48.52171314099738,50.7368635939516,51.799910621311035,55.96619630252534,54.0098727273473,52.56347293118324,55.357576443668556,52.73479356875947,50.31991367620829,48.63787618666456,48.443507685944894,44.31956141389072,45.24138983907487,41.55530480264793,44.57035482686567,40.030058795699716,41.51870311950268,44.97852545085065,44.992754215070406,47.59066363161722,48.86217935724596,51.055392940054226,52.69367712606807,54.433628994821284,54.314830397960264,58.49832663200024,60.01527880954176,57.96779325028747,60.8622813627938,62.659368018031444,59.97987043519275,56.52753929510274,56.79449787388312,54.610434425670555,57.67484446020239,58.11997372201414,58.01019160869777,57.81306283454134,55.06145800214827,59.938464346556565,61.15067836706388,62.381006437255664,62.19331472607051,58.2822312352442,63.422238913534585,66.3133012426923,63.835603243522286,66.44512798966616,64.81770536951291,69.48151503856215,67.76057059126396,70.06244038802964,69.51368337797732,66.76515788278762,66.13748276035983,63.859486066337894,64.04477471054015,64.02931207514456,59.14004095096327,59.53143513422651,56.259919812043464,54.31365282592173,55.26826805394365,52.568444796033475,49.986226766456966,50.66426999415677,51.06255245326734,46.68187529487191,45.47573658496508,47.49922533799363,46.41019899451144,41.55398439674582,42.16967905581408,42.683201794047726,39.047242332552386,37.282071181397754,39.64243622249565,42.17240465087711,44.1725726288887,48.4849745945363,48.93117366862891,50.00152315256775,55.42612212805896,56.29916289166499,60.20722248002601,60.74704688329779,60.995960109900686,63.65381331609362,62.04760642821692,66.75858241502294,65.52194478586496,60.578879722057955,63.85497019156361,67.52796165227961,63.77539201864679,62.39391255732844,66.31453232070562,66.37091284299728,62.16408078360162,62.27233298464611,58.13737777349163,59.97063994981454,61.89679964441035,59.154163919599604,60.22938549152466,60.52024805613988,58.399859851288426,56.22398849644745,55.478650118094286,54.53615623113288,51.3302504286968,50.33008053678242,49.26477057144159,46.39571354069118,45.0548470829932,48.056309326658194,45.819344273121914,41.401101426863626,44.159925064730466,47.24750530200114,48.617123585710175,52.34628981326043,53.3940732731222,57.35352940748901,54.615572798949685,51.18319716119573,56.06880997240796,56.90257416033728,53.74858453023321,54.78018171298545,60.133694138818164,58.084255201891374,54.39575713319985,58.242576786090034,61.77791013111537,59.180485387353094,56.192618754618486,51.633902550648855,54.68467939386115,50.491187699960136,49.23151237749266,45.080571465121686,45.40941168913262,41.04811004642015,41.55418560702212,44.82188491785203,48.26225651401426,49.78406013492872,50.6114787784888,47.69392303124589,50.898516385285745,47.08818448750364,44.155109581594004,46.73032787475562,46.75310353565442,45.70794949230811,42.74589740262423,41.37917215287078,40.57041217120306,39.035891394382006,36.24416512826111,36.60171603817957,35.4063995555435,33.52966317386296,33.68114072966551,34.915687871034024],[32.21543242124121,35.28120159465093,39.7363356144355,38.564665640446265,43.97977846603424,39.00427855145043,41.02947049593951,41.87838820284988,38.85098039377348,41.48800810756863,40.937594767439634,41.892824607382174,45.87518281774162,43.27318728487446,45.80955943327099,48.626365412589024,49.80995268227596,53.102229792908865,55.99845495735283,59.31041048120385,62.15714211287071,66.68604388724367,67.14803596346519,67.36254974826846,65.32813692638068,60.852381260957756,59.544254205035756,55.431068856914756,54.710645259258065,53.324122023889394,52.66466154759859,52.86768063136771,53.71515313527489,57.72451252325576,57.988012341109105,57.88919964944498,57.87749132298852,60.45914521784546,61.59133905161931,67.66974211864157,66.22260123216992,64.79063166663717,69.05461582773414,70.03868907392629,71.87583194556741,72.77465808783505,76.38695676037347,74.72236195869607,72.53436178454271,77.03792794771505,77.38627052323137,77.16960177087694,77.55749409088783,72.3196949514886,75.58386474259505,78.15663264253358,74.40123349320973,72.02256982510566,76.43993613254486,77.50075990341976,72.35739223215222,71.69203619076634,68.45395917595694,69.88647155898967,69.54350829625179,65.99639445569873,61.75702261283039,58.194435521383824,55.1912958548375,51.33337498174922,50.73635738424517,50.68812811945722,52.61665110701028,57.3676853387567,56.92187473897071,62.19368609023799,63.55220411697752,64.91270691182494,65.81974031184608,68.69427084532464,67.0846845446852,68.64769507731397,65.79170784809085,67.96637025034748,65.9731511540553,63.16149832871659,64.20185372856727,62.97470394719633,62.13514167112701,62.189081329857125,59.20866867953091,59.81008791402846,55.81869375220388,53.37904054791093,49.9111252635544,47.512023836234455,44.711370904208636,48.18286197488087,46.479706070507916,46.34459951835866,51.454370463397346,51.70046605431088,55.622008596145534,54.991650524499306,60.16924044751136,56.195895608827044,58.64236262627765,59.05948682627854,54.970956993313465,53.662643586609555,49.56792125559228,50.70717950163531,46.45749333220329,48.68156461542394,47.36720479946543,48.778480687580306,50.92663606699896,52.4745151942732,54.307737301158184,51.43431589796135,48.70387777742751,46.24469264915527,46.34360500989917,45.17021946412904,43.369218140866785,47.62905263108482,45.90639405527558,50.27557000496228,52.77973734894684,56.9131595353058,57.709114577379545,61.504534434724576,63.139856936395844,62.631182242529924,60.07647869581013,55.98139669690945,54.931674993027194,53.552859993212536,52.0701051759019,54.23718624852181,55.67529385495781,59.82609636400627,57.702948549783684,56.08358588702831,58.74304771700788,55.85975075694037,53.480998285324674,51.47452261102951,51.02925145345954,46.74950609865917,47.249086819641796,43.33037458916535,45.838556073442085,40.90972696287279,42.67678985944512,46.41599907029868,46.8831854843374,49.44567779409042,51.06959662627684,53.30682863731456,55.41899858647757,57.24880129219424,57.509607715007824,61.55998149519614,63.24956017417499,61.47750378413119,64.16405230562044,66.15406891771687,63.36452648599074,59.99404741523809,60.03661781000207,57.86753444787004,60.69931650671144,60.93012800332097,60.65130562029057,60.137979775215825,57.4199972804362,62.04261387823859,63.61520024242809,64.71521532473001,64.89192356672724,60.729711771472154,65.98398568848758,69.01272127264328,66.71011341078425,69.44039954479926,67.91970497022308,72.67553969012573,71.26690347725537,73.40226860449218,72.86081621141558,69.94700245748027,69.25926973200127,66.85819443901248,66.86595448803644,66.71257760588743,61.81562030966099,61.91206233538218,58.55037894142652,56.39931689892407,57.054038861864775,54.15683801455405,51.88686221364756,52.58194400443075,52.54918115657727,48.24157510671807,47.53677504694162,49.13470474224393,47.52202066319169,43.137580970581055,43.79739497426557,43.85019419171942,40.19320540519764,38.92744776609905,41.01863940616304,43.82989741716484,45.24939944150483,50.22501437596063,50.47222799643127,51.13241858045676,56.512258275003106,56.97970428913299,61.06885714375169,61.469062149639605,61.95643078742498,64.56289413625764,63.10833372800329,67.8931146330362,66.71797531026861,62.057251338032536,65.34520326262216,69.1148501597834,65.54008467928684,64.28286059674278,68.27988686317332,68.46301401714601,64.34311393856562,64.63592774427778,60.25442222165406,61.88985285892824,63.579761886561656,60.522725816329164,61.4094712533444,61.28475717445884,59.33403161943479,57.4740722169593,56.28572616328129,55.142752365196046,52.31779722895118,51.32427859193558,49.790584694314404,46.92092261818263,45.91513352500329,48.53696473244947,45.987743819583415,41.829546348990554,44.69825276909299,47.49799958243706,49.22288382882353,52.900999543216095,54.20652106129889,58.1373042530078,55.36386816853047,52.3531569505612,57.287293480844326,58.104735086283746,55.098387768162176,56.46251496117777,61.646858622174015,59.68104280552523,56.30948792672474,60.25203323287389,63.62190856833964,61.148547930081456,58.3722929818878,53.96117406471568,57.0798614325255,53.0814036063488,51.387950415754105,47.48990378536713,47.565920823470094,43.28516202467514,44.20661215081801,47.491909301198014,50.99488273684357,52.50924853172117,52.9571239294765,50.18058964478739,53.24774822252223,49.62049400359756,46.30691547746762,48.473786078819685,48.12264740518782,47.010550059679865,44.54234344693629,42.875979944051444,41.644218438614935,40.6613323563201,38.03569915784553,37.769414543681165,36.29817203431985,34.45180672992412,34.4704596802183,35.54168844065993],[28.803595223690174,31.893129156665363,36.22506754801588,35.36503711994588,40.55589112986871,35.276340854296826,37.316378189181926,37.86822322429841,34.99046022602616,37.887757989192444,37.30477509159667,37.96015607094469,42.17754583002478,39.89335667797778,42.33240336149817,45.01274050689319,46.41801408941053,49.84170095395284,53.04610823587972,56.12961298811495,59.17180581768642,63.61332995527423,64.2882154470693,64.62570704041536,62.38663172360489,57.94976972243552,56.399736765061846,52.22895488537835,51.298571057885674,49.656561416954766,49.15289416643895,49.01343750449364,49.84152247027291,53.992857315944654,54.22441000940269,54.31022198384247,54.07648833697096,56.93757810520372,58.11735926919354,64.09187692725376,62.967814938636664,61.555509028202394,65.74083279588083,66.83975637923577,68.87328049723233,69.86961230874329,73.4406150611184,71.56887138390844,69.39976960805882,73.8450291608284,74.02831524487594,73.67096514322103,73.99828176966894,68.79391247879641,71.89308363885246,74.63847669821791,71.01216926434572,68.48592485157516,72.9139498789636,74.18785222674185,69.11311233507959,68.43589596043913,65.12344427495611,66.83453804963446,66.471195711734,62.76308630251453,58.7810634263939,55.053172085298996,52.327564017023775,48.345936643536476,47.98892398566629,48.1725492565806,49.80130575650622,54.58530932049591,53.79752562951513,59.045463684869574,60.23929631839779,61.44955685834091,62.262479483836195,65.12806209129172,63.31610907255012,64.89041077558673,61.837945447874866,64.06987696860243,62.238105599462784,59.39650625111528,60.59445127571748,59.16209294249052,58.59739997338978,58.52252855935414,55.73324828960771,56.47613181936167,52.42378436619501,49.80105966686162,46.31264162084823,43.98672450157714,41.177241263516045,44.304988896800836,42.453558634258435,42.0205094406981,47.29490271509645,47.35804456376214,51.45224528536326,50.74054400429608,56.00756829551899,52.088151792407636,54.455490428846396,55.02857585223926,50.99442897795207,49.54016464138908,45.58160910721471,46.8440336018911,42.66521434227476,45.13694940281808,43.938468417438635,45.60920753806555,47.809918607985665,49.62605890792127,51.56187582481109,48.427328165385624,45.84342410414538,43.21329278643984,43.49071882647007,42.08259151234869,40.0480278295294,44.28969318043755,42.243508740271615,46.63723263812703,49.04195462201875,53.057569978308784,54.04760143768788,57.70107555950669,59.47474302958952,58.763043364025656,56.47997539632424,52.44054275855062,51.60908441743237,50.34303532527967,49.05709623000774,51.12877840599565,52.938060767869885,57.049574806047055,54.77400920440486,52.97822879531157,55.51245948472907,52.43579204017653,50.07611334600901,47.831813825621786,47.207578137694945,42.849846996956714,43.11230776831241,39.094597406799586,41.38007285836177,36.35240808456881,38.243668671331704,42.05313338320359,42.72052969749993,45.226224016950816,47.046286375546806,49.27459393703622,51.67468346746178,53.57040987959685,54.10803637854712,58.03903324028745,59.86589275562454,58.36862513385606,60.888407508660976,63.082667099298504,60.26456964237374,56.93140171413731,56.7638029472685,54.559187769086726,57.167319427988986,57.227360439063325,56.83286992498833,56.12923394115127,53.46214292767536,57.93217564957764,59.68981669205121,60.70148003683111,61.10083200681489,56.800449173901306,62.1280103987379,65.24613212656999,63.059405118122164,65.84306459739973,64.41300140747438,69.23168700094209,68.09060906999406,70.08172014592061,69.57200718181284,66.525921164048,65.85158382787152,63.39898621277998,63.32281611470018,63.1649540652392,58.29718892491581,58.257519635696326,54.947977054713576,52.58332197196457,53.23162797051328,50.154460003138695,48.006267221018604,48.9169395843565,48.721047190755954,44.362290790898875,44.04945631495016,45.57463111265256,43.660737294160334,39.47525298701638,40.37703285109397,40.3251172924644,36.48430653819341,35.58892423917835,37.87717317440733,40.747670530619764,42.05587194575146,47.32760779671069,47.24532735778718,47.823236500555325,53.177917381090936,53.702389315947066,57.6713739317747,57.80452971399766,58.204322025701146,60.668428101933365,59.0932231852087,63.93978825899048,62.951021205000096,58.297782997878585,61.46326643993558,65.39474104395816,61.96672592603318,60.62001949536148,64.5813340908421,65.02629451941691,60.979363929408194,61.1204053603977,56.67225606020882,58.00682831296388,59.63096058357854,56.499544247965915,57.206910605185314,56.98875417275908,54.96736358107462,53.27963676289722,52.0661088758884,50.751405471038794,47.99639006701907,47.171850377086955,45.51380831328275,42.59061575670421,41.796243892441396,44.451887567103725,41.80681502026091,37.710200165816396,40.823811973298575,43.6278244795018,45.443921039498484,48.995918164554006,50.203780715121724,54.21476136641784,51.64394377729602,48.649140340020494,53.50897066917005,54.53822985555498,51.63821309547447,52.939750966846404,58.156516678726,56.46584606420933,53.10861742071316,56.92882934617312,60.41365715598853,58.18391717627034,55.43193214853171,51.067416054332554,54.4699201658345,50.60404875380973,48.78518863952135,44.810481189751954,44.50397338230865,40.11730006844729,41.43667238421976,44.62020364998411,48.24411958448361,49.53982984958102,49.68555339539915,46.76433573882412,49.62601116511145,46.011586781805256,42.565446177979354,44.40909795535495,43.9608144990265,42.69621450053453,40.480115576662556,38.85039134693808,37.36457978988548,36.469621439110284,34.1161550486203,33.68563564151275,31.957904260194855,30.059514683598817,29.986290540053233,31.00318861215874],[29.882132906951384,32.59230373176451,36.63783106478141,35.02613637129271,40.01165170323315,34.65786193744478,36.16725543252878,36.776164989719234,33.35549778074353,35.7048388554183,34.83824412424354,35.819385915424625,39.85409076826749,37.14827798137499,39.409355254855924,42.3078634162335,43.641940189976864,46.75141033305813,49.702456275188425,53.007737739750134,55.81527237716036,60.360839995919214,60.85015856183508,61.22632217526045,59.22280438879443,54.75091748612238,53.50248314858153,49.415143446396726,48.5263591556857,47.14622604421904,46.13754317320688,46.55871495154549,47.26740993045502,51.166858115274955,51.5671245365364,51.4984239656028,51.689151829115765,54.31727399509458,55.623428481026025,61.73578788865641,60.338564188334914,58.64306206691607,62.86427026373962,64.01437563661318,65.8472580816254,66.91857742379969,70.46654983945416,68.72023976737414,66.74429227531887,71.30686512972272,71.47914952248225,71.34049767963805,71.5830546025239,66.34882678020499,69.45818368115978,71.94647462602788,68.19208691200745,65.70840755505691,70.04447473269374,71.15654833913094,65.96152954684594,65.13597546903911,61.849633731686744,63.25817918168784,63.041639929552105,59.523265286215285,55.24327636221359,51.66003975467704,48.70850125306034,44.775374076985734,44.24631468720317,44.12513708959798,45.94762920552872,50.72759457219267,50.252114634992324,55.441832641529764,56.92250915398244,58.238520339407884,59.26279048980446,62.233007232643274,60.76881955990081,62.518415816909986,59.802462910577724,62.14780148371427,60.181612631271946,57.17085847524153,57.99262795436192,56.712471893227566,55.69851435180919,55.62903394220497,52.57209682227544,53.05551221114118,49.08478195255464,46.709754707561736,43.32639536309531,40.83013322832711,38.129597655591354,41.76626529286172,40.27207075924548,40.45095799144787,45.41780864537632,46.12152506829189,49.83506788538356,49.64793838214318,54.968133133236115,51.23911850088198,53.9900196741519,54.63768363304034,50.748398100261795,49.14672483618997,45.054881917421326,45.74649286120011,41.33220394948024,43.45570982671587,41.73024020381382,43.24607770253505,45.1021101040487,46.82760843263746,48.297988789900536,45.27437478418812,42.67495258271023,40.30698449858964,40.80408465017242,39.76834776983484,38.1586610806827,42.70453977690668,41.341342299833926,45.629463114617685,48.35047638909129,52.246619292653435,53.4792094288264,57.26712888214299,58.68376926201549,57.89508462101121,55.4063177162885,51.18806980221063,50.63452420016163,48.86563632043895,47.222742991627804,49.072467240803405,50.49948405617771,54.40218831377374,52.03929845693476,50.51591973679082,53.01631754700982,50.008041555642386,47.79694202434097,45.76865066831676,45.54101686649299,41.285111369042205,42.07545362714791,37.98743326128994,40.68500239709427,35.8011166980725,37.09453982804653,40.806528910829975,41.12501200388595,43.980510172523985,45.295217759589704,47.94860691351303,50.04809031035029,51.510702060834575,52.03298159722281,55.94429688175378,57.961022117999434,56.47723338352851,59.31415146834089,61.505477507380654,58.96619234908913,55.41764855243435,55.38715581485855,52.92790137860588,55.524828254599626,55.58340400426219,55.09488794723713,54.580511664412555,51.6037227007641,56.27452270720196,57.879396391067296,59.17665020956535,59.49009672496881,55.562452239801566,60.95262415822673,64.02111357295608,61.635333501348825,64.03268802354958,62.285838922923915,67.17366133992071,65.8141078424985,68.13217230324054,67.82483239265488,64.9127986652345,64.5571568725813,62.32689502319468,62.51801156844368,62.68021192089065,57.8644645953224,58.1606857101314,55.09840904773837,52.7010303884373,53.846854667328934,50.748929233816554,48.30552471058459,49.55792178413486,49.74740701884063,45.194442447660656,44.69782170446055,46.740136001056634,45.114217159661976,40.56497048863938,41.689800342445594,42.08679560928315,38.06457057140813,36.93703866540305,39.7282439498151,42.33212138490354,44.199343170902495,48.96742173513161,48.86196579146576,49.82752422599986,55.211366612387366,56.16076889379886,59.87558269030911,59.913490317301076,59.97568731833526,62.32835597808968,60.41250646778601,65.26062495024259,64.4401696810183,59.44919811125507,62.429913627775214,66.46247286350007,62.97626882438647,61.33840953802794,65.14508995043677,65.75249527717335,61.657472802933114,61.304138545547346,57.14833268633927,58.3063315964436,60.205296671052366,57.40194146875247,58.037521974117595,58.185602205756695,55.776981387245726,54.018892409858545,53.35454713262746,51.940042755988635,48.82739699270902,48.337224614667285,47.0271796730712,44.00265893758721,43.17881037661753,46.31692820725229,43.849499056995,39.57833449275402,42.8949585855692,45.98131144421247,47.55294029443975,51.015019364752106,51.825512408933584,55.975776659549325,53.6726349488413,50.2320466919403,54.95275081619072,56.23747923670515,53.27137159778669,54.10413955747569,59.574133317155095,58.03980998918466,54.30187792529608,57.88409730019868,61.698716785488635,59.518020531396466,56.51161218034831,51.980064389796986,55.50709955466141,51.47990227803072,50.1277128130912,45.76910612668133,45.484699620685554,40.86292963199015,41.965543204127826,45.03609055777403,48.69082589249012,49.78438663054434,50.189931850679805,46.82208650427021,49.606237982648146,45.61058314320382,42.642368256464245,44.55971815592067,44.54706885390779,42.9914050431385,40.49533180998618,39.48802172617859,38.11627830557361,36.403256114363124,34.41236642507526,34.68411394957623,32.79657638004936,30.607876757699028,30.328601863619518,31.290276465420437],[34.36673453697461,37.19820360629336,41.33724428282779,39.82749760605104,44.860717596215146,39.49678859832872,41.00503035402402,41.51531453076828,38.068779310178435,40.36456975672297,39.33718914169269,40.22646292792522,44.37636540004242,41.63616099252937,43.67125045721682,46.61925625963366,48.081583861232936,51.02760106917427,53.93117325658455,57.292914477971074,60.001537276894524,64.57938318579168,65.00827266813128,65.45293241221792,63.565207888041776,59.09039206548605,57.95793451195768,53.90597704819262,52.9438359077804,51.55451295062874,50.218535923601955,50.770746281866,51.235380147209014,55.05266315090061,55.68436321476165,55.72355549076894,56.04167164948821,58.753627920695635,60.16099730264905,66.28404693305079,64.8884352788493,63.04324000514462,67.24250326342698,68.47172622290361,70.24089923419135,71.3705421292631,74.8885069932037,73.16762303661638,71.30034387224745,75.89366172091269,76.01294233485292,75.9234015982414,76.09426131202535,70.86722969041958,73.86316882079508,76.30695867643702,72.55013215119834,69.98637760600901,74.24287942106378,75.3944736971352,70.14601680129084,69.13875095802497,65.795404526468,67.1112604562392,67.0762567315764,63.64053567029514,59.25246599414537,55.706724785836215,52.72266367097246,48.76773905685459,48.21238425421816,47.83627526908152,49.679912720912846,54.473535059618456,54.0922593896075,59.08630865096502,60.836635169164,62.02811855799774,63.255597601921664,66.35968413341885,65.00093058160161,66.91772245120791,64.22875891111596,66.69455575640012,64.78367569030715,61.6675809306655,62.36615146457228,60.982075180083285,59.8681893890392,59.56290347127082,56.45729985070092,56.67008568864237,52.75243830450596,50.444767463169065,47.279713803273225,44.59079008266254,42.1349494914404,45.79968393452247,44.46028206840465,44.55533838889649,49.64629210237419,50.485047462540734,54.25509327178605,54.19726808841002,59.61193614896353,55.94967405819056,58.677669178218885,59.39880032465413,55.51870923659995,53.869420035378745,49.835260711082036,50.54513259130285,46.12762003888642,48.25878585665302,46.430350874297076,47.94368085682764,49.67721744976953,51.39168122762456,52.641856144150836,49.63764016010111,47.07572399581074,44.823276428143856,45.42317231833083,44.493226691777906,42.96324599773635,47.54644627054637,46.19658008090535,50.486027663939474,53.193564876440774,57.06313504281544,58.328501575558214,62.0907395250018,63.53803390779858,62.7051106985223,60.26177447806038,56.040769209901626,55.50200754444444,53.71379423222594,52.024869938387674,53.84040647461695,55.16204706838811,59.002544540683886,56.61218585430843,55.17538378518919,57.63870737358533,54.60895308671246,52.46830210451266,50.4342482823533,50.25050336460712,45.984865140737405,46.74362257557839,42.551096819843266,45.079082702886254,40.014733228791926,41.28353333992583,45.12185566661103,45.57306899217551,48.51682017193614,49.825874307826254,52.62426174942523,54.79749611660938,56.152416632989436,56.76411841897325,60.63288635502018,62.733926852301536,61.26797931858495,64.14809010169078,66.33058735691064,63.81284437043396,60.249758573289135,60.24035503706969,57.757439079053455,60.32567112484362,60.339016256455395,59.77516299466164,59.201682491688516,56.1392312617865,60.74887192094865,62.46009140889821,63.797747734651814,64.21631621470733,60.30963338105834,65.73755972085013,68.82756282428952,66.44526630858375,68.77697987280634,66.96204118192013,71.88419688072025,70.50817006248555,72.89448983254788,72.63016316482346,69.73266026223227,69.4140884072558,67.19394791907372,67.38410287235342,67.53239808617984,62.71286915099871,62.969408091948665,59.870569550901585,57.46241284045116,58.50788962466817,55.38121513472191,53.023753518601076,54.22079514872172,54.2903115981486,49.784807160470926,49.3499032992799,51.24510184264464,49.497354045897964,45.08633664687327,46.12612127082287,46.35340709380469,42.39901769053657,41.3372321472245,43.906909894936355,46.61871158726526,48.26128139164417,53.20414199871468,53.17353092409661,53.983075885743965,59.362550522713164,60.083477051345746,63.94883636640276,64.03048317587489,64.24804447801424,66.62892469327834,64.82273143131448,69.68654695971523,68.83264275012408,63.964939028584276,66.99020449104697,71.01140725052646,67.54640704324825,65.98907906277634,69.83316919592376,70.39974740451323,66.30899241986542,66.0724672557432,61.856536861123296,63.02647796095273,64.85707681404396,61.94952325441906,62.540970448119026,62.521996467789016,60.193196051470274,58.551785072725544,57.699319646581664,56.21584810302679,53.269820654979505,52.755987791815514,51.24841775808569,48.23607768801645,47.526769630316466,50.46126928589234,47.85464720723023,43.70352663735837,46.99069974645685,49.921323004833376,51.64951894114263,55.136644668571606,56.1143020872954,60.22326195106085,57.82307884696973,54.58400398241966,59.35825168135335,60.550499675932535,57.60634204175891,58.61710811080944,64.00078459141356,62.37936921038601,58.77277830755209,62.451703534604384,66.1475152793969,63.90146204013519,60.970639896490866,56.4725539708641,59.882196696138955,55.85678772079863,54.39363248518001,50.17679423280746,49.98443832743709,45.44267765350405,46.511470846890596,49.64348744102378,53.263840135719526,54.46062248290708,54.863243589170395,51.599019909484234,54.40248993870854,50.45030798449481,47.41225688662367,49.25777852848227,49.12861402180286,47.55451808888785,45.21180924207254,44.09655268710523,42.601829814252795,41.07723625994349,39.112459228210234,39.169351986371936,37.21605339049145,35.039411547440814,34.67914716904667,35.51633787933958],[33.29170977908868,36.41727598222317,40.67899079871196,39.95271993536835,44.98433506781701,39.48134304921496,41.37002811662176,41.59818963441917,38.63320417500367,41.48336824723944,40.580928343520874,40.994636521403756,45.48973565134195,43.26002189296888,45.29053755441621,48.00497448358004,49.720579518711205,52.946632678204026,56.24703849505715,59.307141786273895,62.30302852905333,66.75966335418762,67.4573456392793,67.97867935054367,65.80416446229194,61.375400195711336,59.88301422404424,55.73370314435455,54.56893701828436,52.79900518069596,51.838880164199075,51.77266254616806,52.227856168983905,56.31534314406106,56.87755706441703,57.20198777382302,57.08661266209616,60.202869386738314,61.58310743483622,67.5381835945564,66.5739010962524,64.90735203681146,69.02417125116649,70.32206644450164,72.36174946029917,73.52089506244484,77.02318432715566,75.06917291279505,73.10061986915765,77.57891984648451,77.57522760135245,77.23748838626265,77.40390082420564,72.22079908211396,75.05709250653759,77.80871432157355,74.23568477032565,71.50424478790964,75.8179664098932,77.25912802193011,72.12583835706582,71.16178896182086,67.72302724147123,69.44004720687698,69.3358883544948,65.6645999051222,61.64168046656801,57.87501352298218,55.23799154959706,51.14345057570895,50.87488037188583,50.814097636100925,52.31288035904306,57.15024118360227,56.31824499740326,61.28681009100362,62.792383925639115,63.755261316203104,64.82424606091548,67.89244135810809,66.15872379035231,68.00892730031856,64.93176542505879,67.39545271094038,65.71875787999426,62.67168153290149,63.724248357790586,62.041330046566415,61.42888161257777,60.9466947168775,58.16063694325772,58.58363817935455,54.56942244878503,51.9591942090775,48.767326388647525,46.18763353485135,43.71825335169993,46.777769214945195,45.11992610058367,44.51809635820769,50.00372356559039,50.28576097975867,54.48259146053042,54.02295509777997,59.493055115364385,55.75549587326918,58.128667478035275,58.926841515733614,54.98928996092167,53.33417302797102,49.52398931258318,50.743471001866475,46.549854526330236,49.107523211398814,47.708129413132134,49.51366171612248,51.50315858408738,53.467312464914215,55.073368143557765,51.80439310046339,49.35691167065852,46.822400940454706,47.41437569041291,46.08510804761847,44.11253832969555,48.47717855007177,46.41595766130932,50.79334648175348,53.1906805188473,57.05217066982135,58.27861626599592,61.827515954152204,63.649504018502974,62.72052754229981,60.63740062056184,56.589963754315434,55.99669746925395,54.653385528003945,53.34592579940989,55.253968591611375,57.07826507781335,61.03661483012693,58.59788412903764,56.86200782145812,59.25796057336116,56.0314225431701,53.8135422189127,51.45090893014824,50.86483835673295,46.46676949391549,46.66346263876529,42.41775623117622,44.41862008844257,39.11883659586148,40.893702639655174,44.90058684877912,45.79994197177817,48.47965310880295,50.29752417738634,52.82728766803027,55.45044631792177,57.138377532356905,57.9828848673133,61.773787289970436,63.85334545703572,62.569599093854805,65.1118834518189,67.43129239926202,64.68953692813679,61.31054992246751,61.06360810608345,58.740281224164455,61.15544445386114,61.03698627123092,60.43685627226703,59.565941743330626,56.74062938552139,61.06934233769749,63.06708539137804,64.14063155724135,64.81764626984153,60.5415659222907,65.9839990422728,69.17898952708569,67.03071250693905,69.67121290134214,68.1353397251338,73.06237551754657,72.02830682648623,74.08972381595413,73.70615661797359,70.6211374728609,70.08044349675642,67.65989034135269,67.58828511321015,67.48357867186255,62.64945883740742,62.54421363343212,59.287480543355144,56.76202229725659,57.386409512379686,54.15295346920911,52.14303955631433,53.205963390512025,52.827911760787735,48.47575514471715,48.46941575416459,49.86388298246739,47.6589094092663,43.740378826771014,44.737527643452395,44.49255288656469,40.612020783459535,40.0051259509137,42.22212514065938,45.18967741038292,46.236681862422955,51.789152040117614,51.5879532165554,51.9793950884023,57.285133462406044,57.61329205882015,61.640182792047455,61.62945668136214,62.11103484290521,64.48195974852413,62.90719905238399,67.80020597627278,66.93378822177102,62.40061931210202,65.48945831051222,69.52490789593588,66.22516803965365,64.8677472468225,68.81009316182566,69.41154943950816,65.41982558838346,65.50549733362885,61.01001514603482,62.11009751786099,63.65521010193919,60.41397266704858,60.915885414542515,60.482878853881196,58.441150287325236,57.02781600436125,55.66963532912855,54.11829286499783,51.57417873659331,50.92276812739864,48.99373987559497,46.04477525074793,45.56150910600867,48.051624582973744,45.206005203101356,41.32122053841684,44.58387679131585,47.21010825977555,49.239896226377454,52.692635240696674,53.96839877222842,57.98680607193602,55.49489133189649,52.70949618282877,57.53293308833397,58.630941835169324,55.83441919009459,57.225419635959824,62.379788742197476,60.79576806953663,57.55862854233987,61.35897211902811,64.8176091532367,62.67975527489394,60.00075756902466,55.69244151889895,59.13620906065288,55.33442250730244,53.4013818926949,49.5011453515443,49.07831435827322,44.696895534041,46.16671876693525,49.32452171631839,52.974201368322134,54.213266556894915,54.21697155261245,51.23964423615,53.96001792490223,50.32662229356275,46.83485174430636,48.3678840173416,47.80452214761904,46.33862195396397,44.44755058732022,42.870849206621784,41.07618722589872,40.28487164954416,38.273248950750265,37.63242559348737,35.6008869278692,33.613973369180876,33.29975573263407,34.074907284371456],[30.156964027995937,33.067704030834506,37.01807830919791,36.21138058413748,40.8745367205298,35.06448315199637,36.68147003113463,36.63107471288583,33.56043243205811,36.395070275464874,35.325732745968445,35.585217830772656,40.217365807426624,38.12138639768137,39.964485554491446,42.63421371811204,44.52813247236161,47.7347314464593,51.21126231221566,54.13883523271346,57.214799856918205,61.62076046750264,62.441142824268965,63.09088186915102,60.8263226019168,56.43122656665708,54.84220710991498,50.68620210161551,49.343199921076284,47.4505398059534,46.42654736921479,46.27861428186021,46.674278899420116,50.78545778000265,51.377478179212495,51.80001571438177,51.66101141538727,54.925834786976864,56.40281551027405,62.312172994183854,61.52806988023195,59.76212468050665,63.814610680398076,65.2347356619138,67.36975135481916,68.65050703634088,72.0979412754864,70.0064426304139,68.14241845381531,72.61211398578564,72.44873263893446,72.07665100276374,72.15055268238525,66.99249736153706,69.68465333196065,72.4783448108216,68.97133247282356,66.13332333519956,70.41672428554818,71.97470590093546,66.86368947545814,65.83970592328028,62.35387719071683,64.20433474016914,64.1278830497754,60.39009289571748,56.49640603753558,52.64095812495989,50.18221491763512,46.003703944583606,45.89791326431284,45.94587067008715,47.228730809739446,52.07868302570474,51.05029537889473,55.97817489839093,57.42787173904364,58.307892250952754,59.36377575095201,62.45665301951121,60.68670139902103,62.61427707691713,59.51400537516793,62.075173043747,60.48611736656865,57.34043994965483,58.37110230256232,56.57434575193989,56.022712383616565,55.440642406995266,52.72179595390831,53.186294932438514,49.14966100194195,46.47168614344579,43.29551697358846,40.72517562909828,38.28818261145918,41.234094401605546,39.59266100497815,38.99759845250338,44.48858869875725,44.90458814471647,49.07320508066673,48.79091144598156,54.36422443075265,50.77662783266916,53.270566032814315,54.25219045835005,50.450220049981,48.58208513201746,44.84586246343324,45.8885176888534,41.6608920585482,44.28177336126455,42.7503402672929,44.73134813929271,46.60344066502534,48.78040873057568,50.27324278187711,46.81305939305597,44.51513175432955,41.942538563049176,42.80958004873759,41.428217202509074,39.4369334753899,43.90560028330452,41.877080751703616,46.20438587466635,48.65537050652679,52.32957437870472,53.863721238607184,57.33795324733173,59.102005938494806,57.94391163563924,56.019383233388034,51.949893623835706,51.709007577327924,50.23086016904596,48.949354987183916,50.64830806954945,52.64590895280879,56.45486395206484,53.83802061160068,52.06170224084307,54.31284515322071,50.942263583844216,48.819309284291414,46.33456497008576,45.76648711999873,41.35473722601959,41.580655938484604,37.20828678359946,39.20335278403851,33.88103813127604,35.46902972841086,39.49617854086226,40.41473812444468,43.2074139277633,44.964543211843754,47.68794953257728,50.43295359756412,51.973201076421184,53.07239692580858,56.729908687009576,59.02374292271691,58.0129721204412,60.54015480858519,63.045830721431265,60.422602230283154,56.98566439017742,56.604303427453004,54.13048840669246,56.31675230375484,56.03611053563298,55.28401464190918,54.328834704836545,51.40895696927869,55.688926558366255,57.778088690281365,58.902609667243794,59.74139986295303,55.527719611995416,61.059367290252595,64.30742920403203,62.17348835505948,64.6735156944985,63.075771976965335,68.07915578715615,67.20482162525778,69.2753126050668,69.01786649052823,65.88266094247489,65.51001895557201,63.157182016463565,63.140652841591546,63.19530370016708,58.428851148803936,58.36986699772302,55.304686286449304,52.56562508887062,53.453499970732345,50.04712837112058,47.99757511554497,49.45106405593251,49.13344400217116,44.63981130290602,44.91176718164972,46.51657427193196,44.197360408196836,40.28324397808317,41.634532999145925,41.54775707510498,37.40722798375213,37.03138221871433,39.71227353800917,42.56539145668783,43.82523578311978,49.336192329174025,48.80911604130975,49.34842908202823,54.62706514329546,55.26258324157634,59.01383237329184,58.70025855453078,58.89629261478163,61.06534837437881,59.18252879813044,64.12325096879756,63.527251614209916,58.81574330916938,61.678020975568245,65.91359749078481,62.72345983940424,61.12219495655924,64.93796950934767,65.87196123332095,61.932033156144314,61.604545717450804,57.217093757117276,57.93319238708035,59.564957291917445,56.44667849971425,56.741319273237565,56.43632926273787,54.11184868527922,52.817637702533666,51.75408140187189,49.99170892452061,47.30894430167606,47.00755591211408,45.172236766107964,42.12045120791816,41.820634084514495,44.62164876016806,41.804642549945875,37.883792709586075,41.48923130417947,44.284538024170544,46.240536981161284,49.510454249229745,50.45241389524497,54.618965841736156,52.48224772849633,49.45344040950171,54.11112216605871,55.5539035744814,52.82698274243141,53.883993408588346,59.19843654599968,57.967283449436806,54.536980495975676,58.07557939143066,61.8193626669168,59.94531663167221,57.154920972667604,52.815718420339124,56.58453551142526,52.83878683776187,51.05228585125629,46.88657112002562,46.111222107790724,41.52790687236101,43.257662755263226,46.23304260474736,49.993702745250395,50.90659530945968,50.76121740624015,47.41784005258673,49.886171903155194,46.0805442304636,42.726994194775635,43.97593964205431,43.55973679981325,41.79238627699231,40.000580351918906,38.80741236488049,36.8327484550975,35.681126313512124,34.155307718904076,33.745684124701626,31.372410649253784,29.168163604142784,28.63243610265621,29.329808910793922],[33.897013258249885,36.54693952780236,40.16702995536039,39.03535903791323,43.30440360429167,37.254037037772605,38.335707660864415,37.952706755642474,34.49986167094719,36.91352553911724,35.33624947410397,35.50400286372338,40.26904728831509,38.04974708032634,39.300607672325484,42.08747123406559,44.277027855374065,47.06855193920962,50.519091096220784,53.4864785693631,56.38752587761862,60.82555950824654,61.59740912691499,62.484644867861604,60.39865274837874,56.029958275864644,54.64878058398312,50.592853270372146,49.004350608792144,47.12377551662134,45.34096162771735,45.581542148448186,45.5171931784415,49.38864194725904,50.410268992070314,50.99701307816342,51.2219523403771,54.61129445910433,56.37334939946208,62.29512760092635,61.56046050355651,59.367969880326356,63.331873011731865,65.00339357694847,67.04748200376059,68.55884402193625,71.89561266625422,69.76509852185956,68.24331781299263,72.78925263295545,72.3946160970543,72.16182576129054,72.00588033688095,66.881656206476,69.27676804190462,71.92400500748796,68.42640736032097,65.3982106964804,69.49023498632351,71.14253624353346,65.932419711342,64.53212086621073,60.93997549299285,62.653708486983014,62.92304561223487,59.32857298810564,55.28728189598541,51.47395547836874,49.05174836051502,44.79577130945452,44.73769452149904,44.406338654793906,45.58108524895451,50.44888363809369,49.49857442403998,54.07279091265489,55.97080376427753,56.643072766121605,58.0646765739491,61.40684697272773,59.91949259211531,62.2267101801593,59.32015727900045,62.178690652586475,60.68926610564848,57.23957378423207,57.89374601708895,55.92780506105535,55.08032381023902,54.080128001544196,51.239873445066685,51.24286062603411,47.30950208219704,44.791967743851565,42.007048557276285,39.103982774280624,37.11565287281391,40.23750729880928,39.034234421260564,38.675459576147354,44.11429812235405,45.17900231837939,49.156102163720064,49.4895185105855,55.2651566718106,52.02705492546138,54.77654613674269,56.04763713365872,52.48304547691243,50.307284146431414,46.67320988914651,47.2757701392436,42.9312877045264,45.41388305648294,43.36939937645022,45.41730830004452,46.836733744340854,49.14755000313362,50.01447381430791,46.45747986741765,44.35736362655154,42.042892054744755,43.40939847791371,42.31201066545187,40.63954549895931,45.36759538460487,43.75163020313468,47.94457064184229,50.56993651544626,53.95570350664826,55.91805523352573,59.338407337153,60.90333233657875,59.448133150112675,57.63634132858828,53.47697387513008,53.712104866768,51.847683761278766,50.36175340996789,51.708595301348936,53.5407621180328,57.01539682137634,54.15954318014096,52.59519746978115,54.6351919785618,51.14516713336397,49.2903444010668,46.809348932371066,46.52475684722063,42.183162956241105,42.674453679743365,38.07465156393108,40.03939900389048,34.63648629513211,35.64563041355319,39.742888363370845,40.653403170622795,43.82680652502606,45.232070196495584,48.524560443467614,51.303425724978794,52.335430088925,53.77906690205005,57.22767101221811,59.914636454404935,59.19639524098065,61.907483402335785,64.56563187319924,62.22121699305192,58.62299590914273,58.213217745391766,55.45772092028299,57.37934611627503,56.88881825460843,55.851840702439915,54.83955155309741,51.57779408473159,55.80418047937197,58.03511802158618,59.39861502081439,60.481863541348524,56.56228705127555,62.22587616389861,65.51078927809803,63.307606112001096,65.39021834352106,63.497936590261034,68.63931012959203,67.78789968058975,70.10883781594332,70.12600425692588,67.03312563110642,67.01947821658024,64.85902605323808,65.02132406435707,65.35896069516292,60.69637117346257,60.79405177763787,57.99013397148607,55.05375674141094,56.286591166835336,52.71253743293876,50.60375906085181,52.47995029281412,52.26202416384707,47.65211955726841,48.13130789746676,49.977604657320065,47.585915122067966,43.69608008977368,45.32603818414395,45.390465704025225,41.08313114646999,40.846722446871546,43.84803329370454,46.58072159027106,48.0147183931908,53.41645414893466,52.70611258043917,53.36371149862627,58.59768911059791,59.40926783321367,62.973969894811006,62.414341343076906,62.393978198136146,64.35672263182882,62.190426812858924,67.1631157799148,66.84595432172975,61.99635173052719,64.61004837039714,69.03205815886886,65.95346023382088,64.10770012504545,67.76438682950395,69.01527603828374,65.12057239535321,64.34033884656647,60.13711542017774,60.44187707734656,62.18932298920312,59.229077774013014,59.24978460718217,59.030641232361106,56.383012943580596,55.31613804910408,54.55860008973394,52.495374094148175,49.74729793947085,49.8891343614779,48.087637206584276,44.952551855383575,44.93231700497407,47.95157297679661,45.116080667486564,41.279823933005744,45.170824073031106,48.022817145742266,49.96583001671756,53.04234680909141,53.705210543085656,57.97974420352248,56.168917417204305,52.98840577018122,57.468930814367994,59.203991442556955,56.54709871699177,57.30595292356089,62.74319119619074,61.78667747610636,58.18790271947884,61.48861495606124,65.47110751744002,63.77375630613766,60.871463847561884,56.485935075555616,60.43467951731045,56.669112137573336,55.10137695816203,50.72261712848945,49.785194437299715,45.04920372973805,46.8268170183003,49.6561728133392,53.464779316649874,54.12588973266621,53.977352203876166,50.25307055448475,52.473878058660375,48.41056305739254,45.36418583324073,46.31112490819478,46.10673018040212,43.92923852222761,42.28736253920507,41.623838685356006,39.44349372374285,37.80287997642119,36.92440634993143,36.823104566678715,34.06434924834551,31.609915218300813,30.710505575779102,31.13294333173479],[33.79214127538284,36.12001602484892,39.434360576209315,37.858464008675554,41.835812726849454,35.75475366212103,36.40874928656139,35.9886862301435,32.206844914260934,34.21310901501546,32.40228785306873,32.73427363067205,37.36691489712034,34.93914788050195,35.981100907472374,38.87900935760067,41.06540566922493,43.626239685212205,46.95684484187999,50.007370004276474,52.77563138267367,57.24748176511935,57.9408314354694,58.88874083246839,56.92555690907141,52.563879722807194,51.34549454618852,47.363001000625516,45.75303000004776,44.017727201214136,41.891508436474716,42.48442823545218,42.33112552552069,46.02554937435693,47.15493925565884,47.65925766296366,48.1538702322164,51.41275351675475,53.272490488705934,59.242825966409875,58.388412027128076,56.00245288729553,59.95628474407259,61.68454686600386,63.62496523801806,65.2138979855778,68.50815583430781,66.42300994249608,65.05665508134003,69.65536870256722,69.21260644790242,69.10667695189501,68.87796005369735,63.75384708894537,66.12081896079697,68.61174339656952,65.05618170885639,62.03985099488276,66.06349066515293,67.63773586456733,62.36843278523731,60.86932486098056,57.29145373829064,58.849615813181316,59.212570413604716,55.72519443494869,51.54869084808338,47.809817886667034,45.310797709137226,41.07346599478742,40.965468927302666,40.47219461227464,41.68421923331662,46.54431354063017,45.73153631197394,50.25306158797386,52.30741392900056,53.0322022782661,54.575245914143004,57.97720579153942,56.70622630496242,59.12953268405427,56.447529241057545,59.38292492867431,57.8312447787724,54.26772196240268,54.67425806939782,52.791352613482324,51.67036702418425,50.662064338436764,47.669826340148035,47.52346951031024,43.642815874467814,41.27755338783864,38.57431198835868,35.56790454115733,33.680360285881115,37.10394894629566,36.16310267743826,36.25012606342727,41.41977783151513,42.94381582665119,46.61918397198944,47.336643369424216,53.12181219251489,50.060979273031045,53.068308523973336,54.4107802429085,50.99599646302058,48.70207765950138,45.03154086330937,45.21847493087616,40.76320271651398,43.01427645067024,40.61600377300294,42.60392575522684,43.751347298771286,46.06103614702244,46.58914560731748,43.058053772678974,41.021234850040074,38.884432032804284,40.479338610742,39.609062388542895,38.21827575991714,43.106251340575035,41.940736041861534,46.00584947319959,48.81594701952414,52.05230028745188,54.223502650075,57.686728014621856,59.00225063715587,57.457040412323565,55.56357389591566,51.32004321576549,51.81783898519485,49.628349525033265,47.94887312014992,49.0830675728138,50.724517430369175,53.9982238660097,51.050192089553,49.651434901351294,51.61123908321095,48.142964474564906,46.42522686642837,44.065414522529935,44.0444851691405,39.810571867241535,40.65356878291176,36.03698276267966,38.26789151314026,33.05496248023584,33.57777091953198,37.5515706353431,38.2070999292962,41.612185392029744,42.648468235694,46.23993726736483,48.829291563301304,49.53793500774851,51.03332884351237,54.41034285960355,57.25833282483105,56.62922171838685,59.510926657341926,62.20246881437404,60.07236174913072,56.35366958035938,55.99167664695076,53.05964933122811,54.89803469161521,54.368353436258914,53.24165265583308,52.34088310362008,48.87649295810352,53.20456948850008,55.336906104266454,56.88988218759755,57.94364590547917,54.30072605910848,59.989046376187716,63.23638806346321,60.92256207039657,62.72075541383263,60.624129745408425,65.80455675436602,64.86568429756271,67.37871681835806,67.55239792420892,64.54354521054769,64.76610560168012,62.77029783183885,63.10999698420021,63.68079586787671,59.09574493691689,59.41356290039783,56.826510304934125,53.84807163065898,55.44340195515415,51.85563765369457,49.565086732845664,51.71891952195322,51.76393661124134,47.04716390621238,47.458869334785916,49.652153299903496,47.45425356169355,43.37160796096188,45.18819767084993,45.56416460596802,41.15039236002376,40.812723275532164,44.17179681127021,46.690269619164525,48.49758490056588,53.53354905691711,52.74891071814931,53.67662121079935,58.88958861859046,60.03204460161702,63.36091773465175,62.69825182549169,62.40167890364244,64.24955220738893,61.81653027198515,66.76900559402168,66.60690192487986,61.52668113480685,63.96555089595726,68.46438837947382,65.3819808096204,63.312310205440866,66.82315810602441,68.23773529474161,64.34560492293953,63.1716476712547,59.20300475150436,59.31752929099666,61.25167137415919,58.551401485478635,58.497213872132214,58.56001396363354,55.623660159683716,54.52284938287923,54.19747843531732,52.06628786380392,49.06333910979301,49.478248061177354,47.9601157020812,44.776140504791194,44.74634586941718,48.1133086811266,45.44625041132707,41.51916696233222,45.53947646278144,48.586737386034144,50.325650840767814,53.29364247808278,53.62925207078814,57.989525178434924,56.42200403182909,52.92464699417791,57.25249650534794,59.201112862772916,56.529674119464325,56.91928501995888,62.51408573793645,61.73046767188161,57.87660810502112,60.952353117441746,65.17742629237304,63.57533379634411,60.510408165624604,56.04868049184008,60.119666920569216,56.30026181010782,55.051312406139886,50.42412103778519,49.42701617140191,44.55872003721466,46.25165485821438,48.93804349192234,52.75464119535358,53.21002215046674,53.1823084803781,49.13760957191253,51.23006854027987,46.93094327930273,44.24896700322509,45.17412330343839,45.2889514954275,42.895057844214044,41.10208754427376,40.926610139719564,38.829254988321935,36.603687369475374,36.075435712775764,36.4710009776267,33.61307719210195,30.987962445491814,29.939490424721235,30.308062962144174],[34.88642822382858,37.38388791905473,40.62970154981906,39.78524956050491,43.52180374567155,37.16540995951518,37.97113597901769,37.000510850166364,33.64591021467305,36.10022527399472,34.187621985528374,33.82495999314232,38.94173412498185,37.132997305446494,37.81609919531465,40.43919465194719,43.100406755682236,45.75044562788966,49.526090831186586,52.19711112361278,55.19817566394403,59.50545541323804,60.49569475856035,61.663909501781475,59.467523330416014,55.20750543658095,53.676870287840444,49.66073904800275,47.67204741474701,45.47206435120366,43.40155445765867,43.407004085667396,42.95327446120194,46.82822150945887,48.125548229354365,49.09867430918313,49.25002323420028,53.07921441818169,55.060823082843584,60.79764250297776,60.50966445035205,58.11097183715248,61.88702398403113,63.83596596136229,66.04602395607179,67.79288828376147,70.99332056011643,68.60779039581236,67.3181889515018,71.80292411293101,71.07722724037916,70.7482194989285,70.38050051142878,65.35317386435881,67.33187675883042,70.10623104745545,66.80160901211883,63.47883655544435,67.43811073965497,69.42026592805527,64.26640216414839,62.60634761764384,58.866665929945796,60.839384086581056,61.31895921343006,57.6441017815232,53.87177802577466,49.91596116864204,47.90150374125669,43.49839105469816,43.779269138613216,43.47516268010686,44.177338209477774,49.037698038930095,47.70776230075294,51.937529311842496,53.92831489549695,54.22659178061267,55.777397039558494,59.264951999766524,57.69433265211146,60.25338982457275,57.2081654485018,60.31460555350389,59.124404079303694,55.48079769131101,56.106469657474605,53.74876881289898,53.100149365095405,51.61305293270376,48.98925479705562,48.83659053587076,44.93246525837818,42.288220074387795,39.82386233798358,36.80258091229797,35.20335094729021,37.857143770196124,36.76755890838656,36.04507536431678,41.68872745325584,42.88267519981917,46.98223017534923,47.56896107636781,53.53745095266373,50.611027352745914,53.32784274324845,54.949294829176964,51.61988555857501,49.13025902593141,45.81464761423751,46.36476758329186,42.14370220959183,44.82955246409076,42.692276608611536,45.057696108625144,46.26013565279562,48.920670780702714,49.536006299572094,45.66999586592781,43.903390892817335,41.58568881182913,43.41232504315787,42.22120340798192,40.477873771795636,45.20696708109234,43.42236098031179,47.494471880762575,50.01773944235303,53.05799239222588,55.43702771279121,58.600728867162516,60.244809021816316,58.40415681229078,57.024484167876416,52.95377564727689,53.65985299193777,51.78993094061539,50.459587072974266,51.50504838566357,53.64021936908246,56.85573345026842,53.739531507762365,52.107354189398684,53.8542493332716,50.099856146856965,48.45263471370354,45.70232220977916,45.3408631425668,41.00838897603663,41.286594104513306,36.481574913565325,37.981277384415286,32.40946372703114,33.23123860008058,37.46571844038521,38.71705694635598,41.99413176158642,43.4694191247952,47.048621081971085,50.21380681950157,51.03291995166697,53.00916917452219,56.15050796491349,59.18903808048747,58.94682701781319,61.51958420405831,64.45136468677829,62.22234832429432,58.641651162558865,57.98340703199031,55.09330463916033,56.58467286188632,55.77146868851258,54.43299258568365,53.126132426917465,49.76840874709629,53.68394851843337,56.25987596393574,57.62179489451878,59.14570303599642,55.23644422366602,61.00627161628007,64.39646993432189,62.3330839809622,64.25223457379387,62.332779857334536,67.5759356639901,67.0761339076823,69.3307626174536,69.51861125965068,66.31948013749837,66.48753221158016,64.37108477109001,64.50309871627034,64.94128918055429,60.411030723004004,60.39133289785371,57.78437631755716,54.546902226975945,55.85641836214759,52.03600406889196,50.13010117608259,52.39143214126497,51.97184033403536,47.367002416664825,48.418947107306366,50.17897573243613,47.39946670480081,43.91998164720267,45.866800716157925,45.8015939784679,41.36647703257814,41.646488805972986,44.81484567984542,47.53554017964083,48.786444992540716,54.425372174192,53.32607532666518,53.85786609607912,58.947133716976744,59.773220703655795,63.14273705897265,62.201282218634645,62.05926382831727,63.7509025227948,61.397314870325296,66.40275362173746,66.41444855536164,61.63855897088832,63.98469807004725,68.62015818951961,65.8081337680932,63.815868692221486,67.33666363450547,68.99383261389184,65.2496451485911,64.16958622712664,59.99268103792074,59.75978659830267,61.42318177355244,58.43335588373751,58.086759736680506,57.710556065128024,54.900462527635064,54.23299697595469,53.505020300746054,51.080849964414085,48.52570476634237,49.07768981326666,47.07747628700469,43.91233805388467,44.35146179530059,47.34399386559775,44.38382889773366,40.83108454465659,45.03066597691155,47.767303966561876,49.84062944203277,52.62619965491425,53.11222324594612,57.439618498328116,55.99684609912277,52.92186464669706,57.18108521263093,59.218249847263415,56.768322470911826,57.39793853400575,62.80111150765792,62.2447290134198,58.707689916690526,61.76663835235544,65.86811507036374,64.50697274242046,61.661712932178155,57.39296889290167,61.608525300141174,58.03734278007378,56.39547578193493,51.9966892954157,50.63984227426976,45.871383222227706,48.04550511711004,50.66797530426443,54.538592869966415,54.89082862047824,54.402007080898805,50.468136443554705,52.30554993730193,48.243260758769885,45.21194571701433,45.56243969267045,45.28468326822813,42.75554517324457,41.625108067252064,41.229929055000376,38.63195100574847,37.00042781583456,36.8321154590931,36.58492590825674,33.36885367040195,30.80513808745383,29.56281031528369,29.666099181103217],[30.931583758400166,33.624350247808735,37.13589219013866,36.5138863882674,40.58513074062543,34.36746619902447,35.61484799171774,34.939670037048856,31.850454805348008,34.68522802803392,33.21299698862725,32.97813034094681,37.99562408005798,36.24393090175817,37.505394008919204,40.06037757089719,42.438290815863496,45.482455344097005,49.27619121667045,51.94784925572558,55.108645006944144,59.41395563144088,60.43414501389583,61.37740586714257,59.023363610676405,54.71671071112445,53.00882288669943,48.883208227760804,47.1282077983717,44.93455195756441,43.55660677442656,43.24240667412061,43.24964832854383,47.36147963824981,48.240666116043386,49.02672491782446,48.86639237583957,52.559616526799125,54.28405737942495,60.049988085286465,59.68076031879128,57.65698234446808,61.540629378855876,63.256129345748356,65.54103546060638,67.07849868837197,70.39404707044525,68.05386512860233,66.44735384026994,70.88701155378182,70.38132079286696,69.93997522744388,69.7860026789225,64.70631149746282,66.98725003556274,69.88101372839336,66.5421613736383,63.40448863743537,67.55591054512303,69.42726654824455,64.34133591890351,63.03896081926601,59.39863626784858,61.475788902623016,61.62235026956918,57.81485957400303,54.137033341222704,50.13885247333162,48.04746455459275,43.703220591358985,43.91377379957734,43.952084426867984,44.79905715978306,49.66525060016936,48.29420276458239,52.90355835212393,54.47952833525032,55.011393524278226,56.22040997569211,59.47771769174375,57.66312008188385,59.871076681024284,56.66517067509709,59.50120394406267,58.190536400892285,54.810131236009326,55.76666949141086,53.59195686523604,53.17916884050619,52.11979512767247,49.56844466798609,49.85992436038968,45.839699897473054,43.05105607106514,40.17028917856792,37.45199164530302,35.37521548336477,37.95170353308529,36.444154372305114,35.5622870389028,41.264288087221324,41.89387324035246,46.16415947653806,46.20768864161626,52.01928284956598,48.759575869969574,51.293952575069255,52.660739550864015,49.10818317128007,46.87029362840287,43.42300116037826,44.32860755059014,40.15998620604534,42.966653530615005,41.24461082571168,43.55364292110702,45.15969054128769,47.705011683326305,48.87595679879518,45.088474714671975,43.117233950938896,40.55883201888242,41.953933006948354,40.51901953808713,38.500695108273476,43.055431273288924,40.93749684047243,45.15137560548822,47.5616315507083,50.872259707277095,52.89575290931105,56.13565284508328,57.93389538102436,56.352686257720926,54.84183487819834,50.81731524330489,51.12445404464825,49.550139750757445,48.371207251166254,49.72229069104364,51.993505605031935,55.51276529594748,52.59730895407333,50.780851548325565,52.732784644133204,49.07893054882899,47.179840630590604,44.42900865602047,43.83453793825597,39.40961990307528,39.49292162920042,34.849871347477986,36.45203963213483,30.905872518722163,32.253751591279986,36.45226766232759,37.67448170958345,40.64699947267092,42.419410964278406,45.51647650316593,48.63692906838541,49.90302307843018,51.55899642732482,54.912936821679956,57.61111147139449,57.10023311476737,59.540911300359404,62.34574514329133,59.88087788321615,56.41415710108758,55.787985524898694,53.118920723730206,54.86011683961402,54.24054339690215,53.15896135033014,51.92384855216827,48.84669301710996,52.864243005766326,55.29137304284657,56.459304209495095,57.74153991158228,53.57328792124374,59.25154372274352,62.615179928197286,60.58821076835498,62.86974623596572,61.19039078804005,66.33018368860685,65.7798171319215,67.83738671429322,67.78996608876447,64.55533223154531,64.42147909630513,62.14185580128342,62.13570690670433,62.349240195288864,57.71461572890965,57.58490313919803,54.757980380760436,51.67591327839744,52.73459868904053,49.04059279503158,47.14610874782722,49.08403887058131,48.61139338292169,44.06086545203906,44.93241121663232,46.5413851815762,43.83133009518187,40.27767452022083,42.03289075613773,41.88063637723135,37.53217634478633,37.69584379199623,40.67497559400141,43.4822434327038,44.643750026151174,50.353407300531984,49.388012820015284,49.859915648667354,55.00809283914804,55.73337353906245,59.24507197771396,58.49935717094487,58.50474777598982,60.3722736831721,58.22269760371048,63.21832798131752,63.00007034953901,58.29080960115325,60.846702496410636,65.3431413276523,62.4168821449928,60.602557732640626,64.26246014197297,65.66093904235136,61.86247238155187,61.12764161008996,56.80042696356605,56.91451965643212,58.510405827251944,55.400396432964605,55.2952128141258,54.88583242026344,52.31245182125683,51.418524257547375,50.47380503410155,48.30309974774322,45.74280727909137,45.93346760988557,43.932040929226694,40.80382915927073,40.99291735229814,43.873502970625665,40.93111210940785,37.25449100879555,41.265339206470415,44.00537429103001,46.07234868026864,49.029671708011904,49.71556204703275,53.985465941435116,52.28352485349922,49.27414637736189,53.69121926897101,55.51301779540713,52.98791733031886,53.826435685310024,59.169903266577386,58.397252447172484,54.95552896801087,58.20219450065693,62.14445579664496,60.64003429439677,57.8584529496245,53.60392694656843,57.70165943562136,54.12934939788789,52.340034543312726,48.06910697528512,46.82591705067661,42.14006194550766,44.28589309075801,47.02334077681694,50.87318274278139,51.413159238520784,50.93833243409801,47.27092632727818,49.32319195027012,45.43179122337422,42.14929123393267,42.773771839062285,42.347924564208334,40.13885488834836,38.83314212721933,38.02620193630466,35.59275597209281,34.29908740789201,33.598225594478656,33.145066696456354,30.202868947429423,27.795527541122798,26.839439456386728,27.21384626580021],[28.4066988792109,30.834328769757036,34.218361541745345,33.04946096688451,37.110714613863585,30.980328273133225,32.014933386516766,31.622639750121326,28.21618278621197,30.779388460215454,29.361193332994798,29.533641577026664,34.26813479873056,32.19243105839144,33.69037143432561,36.38407380996526,38.487370854949965,41.53165588866368,45.12907115744173,47.96900096514978,51.04734310341184,55.42623193734287,56.32142043591946,57.143514944854985,54.866145543475014,50.509616157091884,48.92354168714408,44.80313349894073,43.248649552592326,41.30395323725916,39.98521302074392,39.960627501969704,40.22099161493733,44.26177963282525,44.96579456973731,45.45535657515713,45.45785932240489,48.81718443443288,50.4626170431961,56.35985924391311,55.69148885215555,53.69595556074695,57.67804919305856,59.2654103609006,61.43243108310314,62.88730045810098,66.25472278342109,64.05192797964149,62.39143634433485,66.8923749625381,66.53226281677321,66.20600723690904,66.13392267148271,60.996723265356785,63.517110457600154,66.26266035070708,62.78396493732605,59.83169309576076,64.04467736307897,65.68266114588329,60.54927455290001,59.391398843355574,55.85614847748073,57.751466786532276,57.77234073139915,54.02985682019181,50.18392859188156,46.27788971391913,43.96235434056394,39.70175687953725,39.74431974305954,39.80622086891436,40.87430172118163,45.735980588185704,44.5786088217859,49.42422305035354,50.92244572524059,51.735882592064925,52.863833832868515,56.031626542016795,54.35668641681532,56.44861871121752,53.45531693109208,56.177893341706586,54.645038188480946,51.31619176237019,52.16923095378001,50.289452557419025,49.63422921115891,48.92278632214866,46.18143682505496,46.59008696290484,42.5563476888874,39.88808914220543,36.78174857853934,34.14534278346729,31.808967633526745,34.811560167741376,33.34698767362378,33.018885516188654,38.382850181777314,39.23851742158152,43.205301705714845,43.361407330206355,49.06222941483362,45.748297852933135,48.52433614054203,49.74712384187748,46.18841711458497,44.0213307255276,40.35106906686205,40.944302655441135,36.612505899872424,39.15844351746763,37.258033975261206,39.39294825508597,40.96784526959771,43.3697980010087,44.53090193282085,40.881539661946135,38.782506209015565,36.279545257195856,37.58752822455358,36.295834144004715,34.46582543900891,39.14276148978049,37.436583238695505,41.62143679262388,44.2394206741848,47.61771329914385,49.59956094170408,53.01535628827511,54.567386455967224,53.11697928352422,51.31138720979032,47.17014194795762,47.45690680986501,45.64014590619061,44.2646712150091,45.61277154561586,47.66469609734438,51.19180967194515,48.33668786400539,46.62296427362224,48.67343361961784,45.15790740446067,43.222027804822154,40.67651942996537,40.29140207970706,35.92569192720185,36.40191824121034,31.863512659074914,34.00639598049336,28.7544072110664,29.816763858864732,33.81451760683593,34.61104063151369,37.68796013696443,39.15334259379194,42.286582913951605,45.054487821611474,46.23464271646848,47.64173330010426,51.11512969070266,53.73576913085737,53.0593746557179,55.67668186325179,58.387613694218,56.01813276732368,52.45300806854529,51.96666201530626,49.23115034764273,51.12737238373069,50.65035023196313,49.67774187772918,48.69423431606465,45.54004400845105,49.83100431431219,51.969634753907,53.26650304237706,54.265983330380806,50.28410972446776,55.927208500856,59.20780271267482,57.02295565791473,59.202209859946244,57.4131646899605,62.525397958087105,61.753356466713456,63.95445120994071,63.92203151436793,60.788864200902246,60.731607807272404,58.549833920783094,58.69686467957492,59.05295231412176,54.40996498862367,54.53082414145728,51.79815963434914,48.826094592558164,50.19516320874809,46.61657831096788,44.428085997000636,46.44199611037233,46.34292428479914,41.67013426037281,42.18395844785647,44.19658652933098,41.89538025496433,37.90962883649438,39.71482612385548,39.97212907382382,35.561372700316205,35.359909263163686,38.671186156887444,41.248152213236715,42.917847420275024,48.1154962581174,47.242222703495116,48.07599356057994,53.275347578185595,54.379111267450725,57.71523715749114,57.05297923495898,56.81462306730049,58.707860204544566,56.375822711152644,61.3338830360941,61.096593963475044,56.10038532364054,58.62370584858652,63.0865340134076,60.0150879095076,58.04962489153672,61.64255867761413,62.99582853995931,59.12167012020658,58.15760474898719,54.030884747500835,54.24382765162034,56.06809498791514,53.2340039673325,53.26825379776625,53.25204790830686,50.47543123970812,49.298692925090876,48.79234575276207,46.773232124297145,43.81586473961588,44.04910774327278,42.48262283771275,39.31801947630178,39.21686710855456,42.512253966437974,39.84657999698691,35.88991442035623,39.876894900992994,42.91543811839263,44.66510194400016,47.65999574898778,48.07478068322253,52.411468767630225,50.77892376357957,47.35444034252941,51.72733838106773,53.62319916732794,50.9743561336506,51.48384591042052,57.01679781233618,56.232161462449106,52.487420679476855,55.6215861093367,59.760530556257294,58.201122755173195,55.22428597541315,50.83624164725841,54.95909117580947,51.25309315204142,49.81048915892106,45.282760018707194,44.144899640287946,39.324971873715405,41.23494138120181,43.922241781337036,47.76708755550739,48.23656750792954,48.020957546050575,44.136538347988356,46.25918144405509,42.14463012064309,39.17740369141603,40.10270915944927,40.03652663794897,37.81675969521553,36.05629170240712,35.585621941904854,33.47746457321845,31.575390172425678,30.823581261721746,30.97479333313767,28.186825875085496,25.656639700609915,24.767502285947568,25.32325241076616],[27.918513154959697,30.000251367212105,32.74543602477512,31.962083488686886,35.19567897909761,28.685178413404156,29.333208590844116,28.143578378073,24.92139544301743,27.635088114867028,25.867169452374466,25.305860949468602,30.514644225013182,29.077884273365743,29.976574753657097,32.39859440657979,35.05926683002749,38.06719338457033,42.138491442883904,44.54301572047627,47.83247033693682,52.017752699206504,53.23319872177357,54.349564422823896,51.84924638702755,47.640266172862304,45.767439974542015,41.669616148625565,39.63954888989079,37.25155955736928,35.844428903169025,35.354258726971196,35.31918720638191,39.48874500667247,40.348284383362376,41.26559185134538,41.041698982821856,44.93827484485013,46.7870389677915,52.447727255357094,52.353050323331026,50.2185760190496,53.98537285822243,55.8579828156265,58.283493587852554,59.98282482832383,63.201770242495826,60.66644827373861,59.20716787682688,63.608420136019646,62.87816070671052,62.38995243697848,62.112518915781365,57.081279498685156,59.173631625671376,62.12735604964077,58.88540258292502,55.6212363364185,59.74554995323272,61.765633086825055,56.73884892755745,55.40410454292474,51.72364743934184,54.02204139176268,54.15695245368601,50.24269110241124,46.82688309058076,42.703437177108775,40.94646273322591,36.51773266666524,37.030417956685625,37.33425135747002,37.77000695827369,42.59940401031545,40.87492396042263,45.452341341563844,46.842539017275364,47.283968743404145,48.404979685441276,51.654442535665545,49.76814945410062,52.04780511557221,48.8265620027913,51.77944069240398,50.587333889507555,47.08537508502264,48.0197051689084,45.70255164434584,45.405051389232774,44.26121598808446,41.83748819178891,42.28953992533372,38.2291007503065,35.30698641145772,32.40122110749245,29.773176200437486,27.716450803588778,30.03340936236022,28.531575774174645,27.71268005616053,33.362939805078916,34.24526855841171,38.40116858978694,38.761067645405895,44.68122234935463,41.70109654626683,44.44462676647747,46.07573707502066,42.80903731653118,40.25483138516109,36.975142364653834,37.51202248185669,33.3580288950782,36.20449625931209,34.28213012271049,36.860526383810196,38.24426760435836,41.11505829642812,42.12039740950215,38.05866435576792,36.3845992247321,33.79133283706534,35.63494128503845,34.12896979840341,32.13118350620712,36.74108062072538,34.76281771779664,38.77522650438945,41.24637290106323,44.187676346785956,46.685352281881535,49.77581803098175,51.42529200010371,49.51136186245001,48.24328305508054,44.23286829661763,45.118316814721055,43.33836789249395,42.22442367054847,43.20012711549349,45.7272526373925,48.955831283263706,45.80014102431667,43.929483726841426,45.6228330649702,41.772241042351794,40.05085533118322,37.12899072229295,36.57975456510351,32.20637554380553,32.37727605400076,27.582406873142745,29.207837381508696,23.75275738047289,24.63186918729019,28.80552564643074,30.004964784875146,33.16980804840313,34.78412737091387,38.19217479255318,41.45380616691986,42.45975792377727,44.50597881393875,47.61302170771668,50.6191564773991,50.53970266208115,52.93030081193091,55.98662511716867,53.74384045758281,50.233503172083665,49.40855538679396,46.533726498959304,47.88788066871647,47.02288888248612,45.715115859849384,44.3755779149803,41.16098919237464,45.10929035931944,47.63329403042036,48.886549662072284,50.383543705971995,46.3679256728272,52.13386021633358,55.542348811844896,53.539924053726516,55.580872982832936,53.81860028683653,59.04028297292851,58.72065383461349,60.7756169497594,60.91765180675331,57.64115534210747,57.77027065382178,55.62830140562444,55.724670723162056,56.20089123676539,51.735570956855945,51.71660000661899,49.25772826081334,45.908859304575614,47.42229872484546,43.54747057885208,41.584015007078605,44.126343835803816,43.8269825283329,39.156112104221826,40.40353370909521,42.35948877151689,39.63030453783874,36.15072065104323,38.4110673530204,38.58314672517971,34.01650730274984,34.49068512440354,38.086297888387215,40.55428083935185,42.07374077867312,47.426823186282654,46.02532145905343,46.77117505299179,51.749212221795226,52.98003048550979,55.97822166794853,54.82613365566424,54.35175685888265,55.890158063978305,53.2684330874188,58.25186438102693,58.43677898831678,53.47864628014373,55.639397211453804,60.36481436551132,57.61925258616173,55.43630259131409,58.835275160825944,60.707868582438806,57.03476240435788,55.64402899297261,51.590643628080635,51.11442108239504,52.86533044742,50.05116671040388,49.64845579945697,49.536575663128616,46.5035135936438,45.7607684385791,45.404649364718374,42.96961786895059,40.148862240113075,40.93214252545451,39.23288590553437,36.0233273684334,36.46218822693563,39.83607417301412,37.109690909996175,33.476549748467605,37.859486022863706,40.81729040755448,42.62851006085069,45.21986258946376,45.30843216310977,49.721929219269924,48.614350419405724,45.229970313210295,49.26912770921577,51.58791728593263,49.204032226802674,49.45249784599128,54.959212655831735,54.72487807219113,51.01833433035683,53.779019421847664,58.10330139158006,57.00438739005159,54.08535858371713,49.86968276555554,54.349947922428754,50.92815300012529,49.45527242772869,44.894872561892,43.17567169127428,38.3365737376572,40.77322773872308,43.117824624928936,47.01387190377958,47.028599327395966,46.36611962026322,42.18573044306082,43.77773022523879,39.66725979235311,36.76149861547241,36.90932984517433,36.81013997485169,34.1231293106949,32.97560418990929,32.941144694685256,30.331773291067563,28.324482615377296,28.589837111010738,28.65953119727288,25.271591785787802,22.57812839114852,21.217362527000073,21.410598355218916],[27.074977387005887,28.722772432302204,31.12409387826213,29.705207482720834,32.679508913287485,26.250450030106478,26.422190369299223,25.38505658419386,21.691463827425213,23.930602516308372,22.008462161561418,21.840225439797017,26.802153273210777,25.012367498483947,25.945142158476518,28.547294293966,31.0408881826383,33.94163836562771,37.85317031767441,40.41448879181553,43.60190947925104,47.86464018644667,48.9693514633742,50.04278418282236,47.63943465719685,43.3896578260211,41.66748144853536,37.5968613860996,35.6720505433001,33.52410641686311,31.967158306369633,31.87858025382674,31.9942829300024,36.03626411363513,36.816707566812354,37.47493269269531,37.514276631602655,41.11751950860482,42.97431936039737,48.76759661494564,48.40814917785385,46.1822499558299,50.02144866961748,51.84411759695536,54.146919655635266,55.839297387917696,59.07511614519395,56.64488582131532,55.23031214989809,59.70539074446422,59.04549623641284,58.70030122633673,58.440822064001686,53.36039957920404,55.60946208207042,58.38416643318506,55.00928121133949,51.872578179480385,56.016668421648454,57.838770900137,52.73908753412943,51.45689315125635,47.84733546359566,49.957867983623345,50.04256141353491,46.20872942435832,42.606614332288146,38.55851954058525,36.61610894585579,32.223739708164125,32.62159834883706,32.90036843431167,33.47600127857267,38.319572896669484,36.78221621608109,41.53572530292253,42.93262824383926,43.60889796090526,44.72752803332689,47.94931166274422,46.2669913987479,48.5303310814435,45.57581631390793,48.4964146910583,47.11166116149125,43.57152878642865,44.30084478279507,42.23327592935586,41.616146460608,40.72416159041412,38.07585164888237,38.55925368159372,34.49314294405694,31.717352429987763,28.649854724504667,26.025816232276757,23.784311427973844,26.619161311852675,25.295490064360408,25.211683368299315,30.42625433179998,31.77143176546682,35.51009079757035,36.19043250435706,42.03332291693387,39.126800101769334,42.1945188327884,43.764486218774636,40.59712215580624,38.02800888440515,34.58282618324227,34.62593670101353,30.28958121500007,32.810125658897284,30.529203745163013,32.97986451330729,34.1767661536261,36.98358648650303,37.79590903043121,33.80019634067441,32.08719240684321,29.61058301443486,31.574099495284226,30.286982245474665,28.58784205208242,33.38504285719748,31.980293558401357,35.87428580703572,38.59842405889951,41.48177896641489,44.07819583566956,47.305320694875064,48.63726181612273,46.75808251964654,45.244538491087035,41.10771596891013,42.15095518899329,40.012152367700416,38.65694278761739,39.48851341025057,41.78079381180931,44.89401377895465,41.70842041884432,39.98942701249279,41.697433218995144,37.93315906511579,36.26583692730736,33.5399489701702,33.301711654966745,29.03280020961336,29.724421112089477,25.002995865096036,27.22119710077729,22.187589621990856,22.471738348577084,26.3820513553659,27.077857703340882,30.479901448491866,31.62794918745114,35.26177528961446,38.16382449940527,38.912580664829484,40.83473927801144,43.98265928324298,47.04039008715572,46.914127240676926,49.51885905027582,52.53889959911401,50.486238652531235,46.84304197415775,46.13224575761724,43.10379863718266,44.50418222285874,43.707515133629684,42.41693547150225,41.31840377435923,37.920281122237554,42.13485318325361,44.39894685454743,45.854944454833074,47.13943655355988,43.41460703747969,49.17288433380463,52.50371149380462,50.32899611524499,52.138146219989636,50.18277644283303,55.419657014306196,54.90536866515478,57.164897458235046,57.40665950973564,54.24061877137247,54.55751384268079,52.57657327065366,52.878260547945246,53.585120498878034,49.16920997714843,49.44787128490303,47.18983173342528,43.90459023215928,45.83598421340149,42.05808438350134,39.797396915528005,42.54218152730192,42.652117131100496,37.880678522325965,38.836148858753134,41.247054638509,38.93717967840146,35.09956964483919,37.473181261586085,38.09258105516073,33.50029221561688,33.665453964961806,37.61874656382066,39.78178973403381,41.81701981282641,46.57668777127541,45.21194133116306,46.3342025057523,51.29115787441734,52.92651966285153,55.671421789373674,54.536950505712184,53.76183589701313,55.24995227812676,52.38172358226324,57.29967184176209,57.54976532904786,52.302642882760416,54.33460380000629,59.05477522937609,56.22135430716184,53.824618866073685,57.084404652707974,59.008581700998164,55.301126317173605,53.54114590755198,49.77313418518277,49.25608472670272,51.26208803247673,48.79871149340519,48.454514328186086,48.77264968112477,45.459927020043594,44.504366700517124,44.69985144503968,42.35741460443185,39.13846046059894,40.10139988425367,38.88688904356417,35.670796339309476,35.89315664794581,39.69880038510678,37.29561045052438,33.486309406675446,37.83978208865083,41.05676844736118,42.52274946991471,45.05575688738248,44.786191945669216,49.24959447743422,48.32268031800552,44.521577826110544,48.41285750526386,50.875684907166196,48.419099737847006,48.244386805393404,53.92603537423156,53.77391463251064,49.755890968853485,52.30064540865962,56.86226533207586,55.78147170742707,52.66464941787013,48.34762132749457,52.880693267417236,49.36823145963757,48.30644860063492,43.48510413309155,41.81434212042845,36.864063341431596,39.0749168021233,41.27471789444011,45.140085520291166,44.98441315101779,44.56354546681061,40.07268565791674,41.61847882098742,37.23106483943381,34.79445158779368,35.12772106551369,35.48321067453406,32.67705335498037,31.124068177949262,31.650351669714347,29.360784496437812,26.550887774305764,27.039305778116116,27.858175984594126,24.586148501602075,21.763532415426617,20.388195035961893,20.66129920448275],[25.935371599420638,27.340929947193374,29.220417268049463,28.427038809588513,30.712538230314166,24.06864936835317,24.128819741501648,22.3549408294907,19.17974264482946,21.870829954045067,19.902264190609408,18.855149842425615,24.284724967592968,23.371546987777048,23.966152947135523,26.131220814751433,29.062784402517135,32.14596778783189,36.54601701747368,38.59362888696396,42.07917156774069,46.092509471361446,47.54938675263835,48.79125229310307,46.0773149891682,41.99593078273188,39.866279408953766,35.79182615598542,33.50156090422434,30.85296837398715,29.677280594084504,28.795659255958597,28.849645840007582,33.16953670887577,33.86936243238055,34.915871667737335,34.4768588968647,38.60127490319913,40.50857105656465,46.02069812533512,46.25021815143653,44.12540030438211,47.76734861030417,49.74672576563471,52.35790625163456,54.168397846884744,57.299871018521635,54.56041112983372,53.171499471024056,57.490288299717314,56.57513371536077,55.98094844409803,55.63119037763336,50.65550614705644,52.6049561111851,55.675904314191975,52.55588035982931,49.198407987112915,53.33959777809205,55.51086926729375,50.593199691874496,49.329316201543904,45.63822105669176,48.234410369092394,48.259276645502375,44.18941635829355,41.149957937959606,36.88454161219836,35.54463256024507,31.081176450653164,31.948712356363885,32.68136665675648,32.64407856204519,37.36799462686727,35.20272677770862,39.805793860842705,40.83429014716208,41.21180102005939,42.11679622639824,45.27787858549774,43.209428292154946,45.46092150697399,42.14234667925277,45.14642184279832,44.08096366688028,40.53107086318165,41.56982823176782,39.11699920139242,39.07392168036478,37.9396061268002,35.73562322415923,36.51869905849376,32.40858040629775,29.278203385079358,26.240759908268718,23.879257097862663,21.725901721686615,23.548812083886023,21.877207764862337,20.996025691390972,26.62988859256776,27.587662672538748,31.690741277745516,32.22603568450497,38.21574870892139,35.47097655091235,38.35147962633354,40.2091195314506,37.22194513660723,34.40238432719297,31.336263194402154,31.589181005005486,27.544268337038,30.48791959365215,28.52362075128233,31.405900400291067,32.6567437379214,35.85655681024632,36.856585859615144,32.52770755980159,31.18093107510632,28.491029573684862,30.69840035465571,29.025551504368295,26.962003414717707,31.473411594437966,29.516233310699683,33.28142951652421,35.728752393749666,38.298101261320404,41.20401035510733,44.10739902452908,45.663260506944965,43.45436922916579,42.46320772295043,38.52928407885789,39.93336891810006,38.073228651935345,37.126330389181994,37.76565254007602,40.634916942477915,43.60783215473686,40.2696065712918,38.27354851451684,39.71131729510178,35.67159588402929,34.08980978991574,30.948239333673282,30.341321758905952,26.026926671274115,26.176195966296486,21.277031563396786,22.882441613800054,17.60369182363779,18.036603746470707,22.159218111208393,23.373286043168026,26.643071218640472,28.203882476472046,31.80233368110654,35.252989838673756,36.11438002581563,38.53280758875144,41.39427370308951,44.63015471585696,44.96732969141565,47.22065759372088,50.50456180008896,48.42927581837914,44.94860840662444,43.90173351240615,40.89990236362255,41.86740339062215,40.770909459628136,39.2780875823403,37.809871330966054,34.549835027647475,38.40485966004723,41.02642992113544,42.29106367455935,43.9861097692906,40.045823058647365,45.86549254878857,49.31503634362334,47.37888998915247,49.279857672177876,47.5250240259854,52.79144423024341,52.73843100139659,54.70188075721288,54.970285051887096,51.63479818873702,51.94095651257907,49.89379571719435,50.037793062554336,50.70786341096104,46.4213281001941,46.457971824742025,44.33903447949553,40.76618942748658,42.64604350513368,38.64570313131068,36.67166838989118,39.735110844287355,39.56743334426526,34.879865019319,36.503608396099715,38.699288775020946,35.98104073711793,32.698312181130426,35.37619679031432,35.81157159583863,31.189815525710436,31.986080112902986,36.004177710258176,38.107079535218666,39.86930855846079,44.8259620478126,43.03684353648213,43.989647236612434,48.72545387341781,50.372224235301374,52.88292759767079,51.38049863701473,50.4908709912743,51.72357941047425,48.71655042967057,53.64524339455707,54.17873727320379,49.062239379671176,50.85358063045533,55.74311197503783,53.19010277497585,50.711478063109006,53.860346013013405,56.143023691609386,52.62094232618481,50.684730496306585,46.886523022812035,45.87339133681468,47.73016109033824,45.19025749740613,44.52806424036495,44.68369075611784,41.277545772836326,40.669388442315274,40.84646562900787,38.218765176488006,35.19030854487278,36.505622983410966,35.12500265891243,31.914289976811162,32.57416501875904,36.324535412929635,33.875740833822285,30.39866112804293,34.98266436655958,38.05881676468746,39.59480344487118,41.800801095813384,41.34816821847802,45.82227941805923,45.26251680775714,41.609402065506245,45.241633183000715,47.97364723237339,45.76081271617957,45.492289824598195,51.06203194207288,51.31714449499308,47.45245329393044,49.745264652213564,54.345160712856696,53.633949718097746,50.65173984601457,46.55157914676602,51.3194724066026,48.1132799614041,46.90023397927917,42.20063871763848,40.04586287736435,35.20009753135221,37.90303451101249,39.825458800871736,43.69179708558318,43.22258156727819,42.341209581992736,37.78134420155275,38.898454333051404,34.68287764349012,32.138431026098125,31.779572202495956,31.969626606079476,28.871822997749,27.940070870771184,28.645320533638206,25.91615237042808,23.2812774472023,24.562849462160855,25.104957332804506,21.398115668564177,18.5781897408182,16.879042344461887,16.873534615951925],[27.026520810284424,27.880362840358963,29.19890135050429,27.78165522384851,29.481237450667894,23.014257462556408,22.290762668489073,20.43676202714004,16.734669331216352,18.64968045794008,16.211707412024456,15.357044708479815,20.642745472643636,19.49765322665781,19.71653330917252,22.042834421668363,25.041806179823233,27.8666515440958,32.21279397260526,34.323735838310064,37.70712550443505,41.76379025169223,43.165393884541736,44.487533274198306,41.871513977470386,37.79600398738791,35.815012478809905,31.814161707971916,29.44908985100084,26.958405266674905,25.362240836493417,24.928966486832568,24.947706165025156,29.10338365819597,29.868924507448586,30.778192821371285,30.68300066211603,34.64595189926345,36.68674404439267,42.285345959198764,42.37001888923399,40.00651579066533,43.65459842414046,45.70934881133646,48.22399119888498,50.13382402710437,53.223671904764075,50.515595385021136,49.2983909423816,53.69020359633452,52.71704014550564,52.27777648710951,51.8452041104071,46.84951202840243,48.80063905962181,51.689047353449354,48.48017304787289,45.14060867685654,49.23948282062839,51.30744389136418,46.30640211747232,44.96694419384585,41.28631763224612,43.74674377571166,43.82618390885641,39.83191059479399,36.65902188526261,32.4248926214192,31.047916530939244,26.560220983798985,27.46248518351952,28.157160135442766,28.046736069158854,32.775087619876174,30.67008061474209,35.32138020046951,36.43745423208448,36.93362345585408,37.92566484195219,41.14300610577011,39.32061858773315,41.69806819315554,38.676269352711486,41.77059891484483,40.5975245019813,36.88983855614161,37.617321281666975,35.29124718395317,34.89907694363468,33.83006447368052,31.415232052649234,32.139550989745274,28.024367016014338,25.014977777920777,21.928738599874702,19.47725255870171,17.297876696234372,19.59549607573388,18.280862650000604,18.30686075869376,23.407846208075124,25.143207171408086,28.70272670904723,29.843868027346243,35.797981451175076,33.33126697176908,36.59819019514302,38.52327129496325,35.799398753470975,32.85043231469457,29.77024535198153,29.330659363593533,25.161168989006736,27.715290801840474,25.2130494655471,28.05746777782713,28.905858070293313,32.172226676193695,32.75108134533318,28.37377122489594,27.175378071075205,24.687570150737134,27.298624272003327,25.915615430756496,24.278009249933966,28.957324379307074,27.72725854397406,31.208286450059994,33.905175844351994,36.21131246912067,39.39906388581644,42.34037210149401,43.515753660052745,41.19866786931406,40.08832538004924,36.061428024950324,37.861247117306576,35.55143230703116,34.361926812672216,34.662202707362795,37.32021517695779,39.99706335516309,36.51327591353612,34.71138284275505,36.0140365366031,31.969324702530766,30.588942738137817,27.59563233083819,27.39640419974416,23.28580205077292,24.054017139532007,19.224785750574707,21.364636298577643,16.751057951500993,16.096082624336532,19.84660607650991,20.514631173485906,24.185840776087222,25.092501996989323,29.17073940548935,32.30736081137729,32.68625059324531,35.20391604944353,37.95385912893651,41.419405889812225,41.907256592094015,44.37193536779943,47.70280621334372,45.93012907179926,42.31036036387799,41.31844710170648,38.07839704903622,38.90246086318732,37.74692843418139,36.12813568836388,34.8403089408678,31.273100086692967,35.32309348694537,37.77104368556801,39.31195037260816,40.9386747619752,37.41208413945424,43.24594331565564,46.627947313107434,44.53630347889498,46.045612630636406,44.0187544545984,49.34712054694815,49.187879673241206,51.39292334705037,51.86539194297357,48.64080273805346,49.266774386766556,47.45462956756203,47.84542475788703,48.83744499770414,44.69622817565704,45.05214119460623,43.27091491327294,39.703636439226784,42.08858153885587,38.16600514624457,35.94478046995312,39.3405065708781,39.57843127847845,34.86179268868366,36.309681320353285,38.95193116650157,36.628802501502086,33.15101159579046,35.982152337904644,36.84965517523929,32.277571772434115,32.86038724946682,37.192399188117335,38.9376831701112,41.15684698514707,45.479746272128224,43.66082029869391,44.96352853062469,49.57908444009449,51.62445069021822,53.80003784606245,52.231021636209135,50.99498251752923,52.075991166080456,48.7658747804342,53.58530979791272,54.29247324836374,48.92700409443807,50.46535279508463,55.37814951772284,52.832635500252366,50.08502126088111,52.99963917836447,55.457214123052125,51.973234164205685,49.52534801598062,46.108841864473625,44.86347407482825,46.97450652996813,44.85974965297426,44.13577897256001,44.72693035353319,40.97356129077185,40.28141118672469,41.103989218093396,38.486462287561615,35.121608264454196,36.77922884208776,35.89824591315467,32.74118469084646,33.30630204543787,37.43373379441218,35.338841238133725,31.84983221223519,36.37994575454039,39.62704953947652,40.81796101565598,42.84444842518883,41.95982549355629,46.443349723672554,46.19311835980905,42.17822283885185,45.530036225422656,48.47621816691835,46.27087030198021,45.50439123222535,51.19455791084751,51.648793519364645,47.50411508126577,49.4613269456873,54.31396327783621,53.71961042705769,50.56603907411723,46.432702051897934,51.27006150037694,48.04615349537289,47.27455161298492,42.356009581941564,40.18559215996296,35.30077959383276,37.802364981256204,39.472803275316416,43.26009135807615,42.51667839897245,41.82402977613639,36.898708305620694,37.80267706845949,33.311524692010636,31.404880727583144,31.03602522875083,31.748418229981965,28.4256854923539,27.238986634439087,28.72247638282377,26.29596996475495,22.76684825926695,24.591402425271735,25.926275508466798,22.35553476888983,19.497168371986874,17.714043975498484,17.58722468153595],[26.55318887194558,27.37128187392986,28.454458464725985,27.637743653285177,28.98087129707794,22.406148415067317,21.791003632875,19.393845111883657,16.310549675436196,18.724415187225045,16.41666279235116,14.749100415441019,20.394946906721565,20.040803030198564,20.06560304233196,21.955119021709788,25.256671145183546,28.24585024394319,32.924008711765765,34.6231501114094,38.224421777547626,42.065310193418775,43.7265538270209,45.14332273774784,42.299120306362795,38.367698592891024,36.06853401271181,32.079489326622586,29.473582250493326,26.57026393896126,25.380785333142047,24.19951597375455,24.159315536079074,28.557481267953364,29.251027754131538,30.502343078630528,29.95187473900838,34.345939258652976,36.385990576802755,41.73089482656107,42.28585786719314,40.061687032905034,43.54792078540537,45.69435122309275,48.444108502997054,50.407075577963404,53.42339163172675,50.49456253797007,49.258535822972746,53.507487468016514,52.36635204536533,51.71226422023035,51.2325954720743,46.33022376496446,48.051727339586435,51.19628893236443,48.20298677341747,44.701999731154395,48.79495478869154,51.13989281774132,46.305825255562034,44.995490436146795,41.263641158918055,44.10035070395634,44.129500585111025,39.965482246291856,37.254363778960915,32.886736883823154,31.97686550926003,27.499466676805365,28.72361251823245,29.73185710389661,29.20358409681453,33.786631120745945,31.228482848027653,35.706020155365444,36.530404702036705,36.76222254424923,37.576317358785424,40.7288611249335,38.56259837849102,40.902639467806644,37.53693950229401,40.675063336880136,39.77572995730113,36.10458756960186,37.1361769350034,34.48452144519098,34.61996510575517,33.34095625021998,31.33410959171114,32.2851637080081,28.173181733944116,24.88332324029818,21.881704782945054,19.700267766369663,17.663334118565903,18.925540623950354,17.238001500296647,16.322593931499558,21.92891237400189,23.17241929702551,27.159740689238696,28.05607752449201,34.13364193574134,31.739483921479387,34.76659838946205,36.89621145396563,34.257670107930274,31.15392660928941,28.38919590022374,28.27184222602541,24.393307988355062,27.341044023370245,25.238364628784986,28.38019603973396,29.357482941575473,32.8559321591336,33.66654053758144,29.111866903002753,28.159573679405725,25.506731094928856,28.148362303856356,26.435756457219068,24.450383081251942,28.81589996363301,27.013792561630435,30.43467978519773,32.847525726790266,34.966098454926026,38.30635939247376,40.98920122979021,42.417143494309805,39.88646510676108,39.197671621008084,35.36232826171112,37.31883167445131,35.33524068358962,34.50634633414653,34.75174569562584,37.85221377180495,40.4875729180467,36.955037891484565,34.918664721147266,36.04658747877791,31.824505990244344,30.47260500301836,27.147808751645417,26.563962998080825,22.404166574616934,22.581866405147093,17.613511728880344,19.083537929186853,14.129085355821008,13.769532899316584,17.807761122096103,19.06386589959537,22.531220717880732,23.923257584903876,27.856239680507024,31.48653485591869,32.06044103413212,34.921123713648385,37.468265505658984,40.997348852566674,41.78196755070239,43.932070134469505,47.42733599330366,45.56992607159546,42.115429984435266,40.87495260601091,37.72880829220595,38.264860692705554,36.90137578080609,35.160952934617264,33.54444194825252,30.162322628146104,33.870556275954435,36.63980054442455,37.96717238524633,39.9242745554134,36.146573462641726,42.01139619652661,45.4914186311573,43.61805727277456,45.28316405368807,43.47406409636089,48.796949819684286,48.99567292917654,50.9239341041523,51.36510163082559,47.99941213920774,48.539587270671554,46.62724842937643,46.84274601097397,47.72663596428522,43.65684269692884,43.759280596920505,42.00296205037386,38.240141638546724,40.45940121538322,36.371184100637464,34.42979288046507,37.96057900049845,37.902190452135926,33.28091648843634,35.23608391320106,37.60219754759951,34.91319853828841,31.901379548900604,34.87977148094744,35.510286856796064,30.950527349523338,32.00415659385609,36.25832971747349,38.03900962727442,39.94697509669583,44.531872985751924,42.44689637352239,43.54087885656465,48.01405592126703,49.956347648570144,52.04864285526579,50.250110128358955,49.02317950625493,49.956372852317934,46.62907384558162,51.470374752441714,52.335247303113576,47.13822326108428,48.56098924042171,53.57627533751696,51.23301327761283,48.501305475246205,51.387179319204805,54.047849974066295,50.69202830851655,48.25499691804697,44.73435232267797,43.19181130016045,45.128137526743224,42.86312505405785,41.92078169508331,42.28858508918986,38.55214663337518,38.14382456848194,38.802429411261954,35.97622802362711,32.844658928571306,34.68409606774558,33.572185167879304,30.427823738134265,31.335480271083085,35.30729887674624,33.11435606348473,29.89898558369707,34.56250587262081,37.64500179516015,38.958457610787946,40.786447095134,39.877314603115,44.34771623575696,44.28342342059199,40.47853613340365,43.699415577938545,46.77106192676898,44.7418903671983,44.03559758953524,49.59652254574677,50.27881359957906,46.32576334916033,48.18612245854487,52.985125024196904,52.61304168236574,49.605572318421494,45.64469641988528,50.59808988030474,47.59505916225125,46.615941620196956,41.86101445444444,39.388124356648355,34.62139806497949,37.47985118033602,39.01867355368849,42.80274252314508,41.92264620679288,40.87132068689851,36.01712555357063,36.660820969679534,32.38855089036615,30.267169038398887,29.385529315452512,29.853052517797583,26.371705241753325,25.73489083475998,27.169911420945695,24.373050327404506,21.206299924857873,23.493668392659846,24.43259740747424,20.574050959784543,17.786035975993304,15.806309231926907,15.426295173980748],[30.068227522760843,30.848520686884736,31.697796799314677,31.130668881042826,32.047645096204995,25.5471804971629,24.679305240737385,21.795766843469302,19.02896171724167,21.125879971896605,18.457974693566257,16.18465064304685,21.911905739299378,22.00771464517516,21.123533151196646,22.75049859416813,26.5715424003078,29.134555530171365,33.98654813354978,35.371433935635444,38.93008266212302,42.59330468836489,44.41134124798604,46.132954030270845,43.30543439506182,39.55807902597239,37.25044904154268,33.44446555697934,30.42931093799055,27.262773021197837,25.47284838795302,24.158439621519154,23.4019604542391,27.676820516750176,28.87001771705921,30.629041207820677,30.12690990222117,34.96765393777374,37.284173127106705,42.34658173623233,43.335932346554635,40.8208829387519,44.04237699927644,46.498631182128555,49.32720985537597,51.53921017014918,54.364875220940554,51.23889670536243,50.33308302715757,54.49563709990772,53.003065146284506,52.30912591551246,51.56444065442769,46.82043379707111,48.02188396400874,51.22504359492226,48.445429143791145,44.62453249255286,48.489270960914226,51.172120313894574,46.40390498202517,44.722148959826434,40.835639486856174,43.861828289720016,44.21586200282813,40.07569390378086,37.6209615259545,33.20725594573034,32.744247149164174,28.222052732075255,29.759384203270077,30.60131164339326,29.584713521007338,34.059752970611456,31.18439554366552,35.08850163366664,36.16732850451464,35.90542056566327,36.984883998380575,40.35488518234395,38.208096902962836,40.920118224160525,37.49752461233753,40.956188983008666,40.41817461001396,36.51475865923858,37.37863707796996,34.26589501013334,34.53049613244418,32.55249523771559,30.783815035479382,31.377983860477713,27.3787222128314,24.015468270279307,21.66523790431812,19.245806057441772,18.055350663526337,18.612101992545934,17.34918302180984,15.93537173573401,21.7000261522186,23.311122895540898,27.309067774148126,28.675585456630316,34.87798820755102,32.97340148294434,35.918448852486435,38.41567381279962,36.11815020459159,32.74333559632828,30.443073970964953,30.213251020771292,26.63001603886472,29.597122343732284,27.368684361797076,30.66511757993273,31.263219625715184,34.968556999361006,35.32453279723046,30.619303298826686,30.076399706893973,27.646952085865397,30.70362102097303,29.09484050313623,27.251740337556058,31.45451736405724,29.66234388654988,32.80135154155533,35.053818670622434,36.72549982870987,40.43178998003113,42.80154513662484,44.248424106574106,41.35526806272515,41.11850512353024,37.4533916842887,39.836107627439056,37.84202067535765,37.115440608446214,37.030084767418685,40.221415805393654,42.494026379808965,38.77083297880335,36.80364328388284,37.57524326385681,33.18712772060773,32.169324641685854,28.703526634006966,28.141582703245096,24.2243998432675,24.1940639084551,19.23329300000701,19.898762312421677,14.996761357074025,14.125499328361313,18.17706564969543,19.896885376876586,23.44799420730645,24.773871052707563,29.06439594986503,33.00613925023498,33.198990925437556,36.60537167037951,38.73388822192631,42.61680073193938,43.86055375382034,45.89171488853719,49.5704753228635,47.89508352824483,44.499336400196924,43.08539814152329,39.84964570654526,39.92758894412381,38.234476351541645,36.15045708616198,34.228580382185754,30.720932191751434,33.961787294665776,37.12407565703126,38.48715716466443,40.94176194156139,37.322353272636995,43.20041014803766,46.729950827263636,45.010790065600105,46.39498791569777,44.51275169557581,49.88462475799185,50.39510763729595,52.30075139146836,52.94771772315169,49.559673264559336,50.31939813919744,48.51377201225543,48.72629704749157,49.71874754702952,45.85245633760703,45.859703399526865,44.32611701308204,40.368752818400054,42.60326856469624,38.37209724087525,36.69340831000425,40.470827999150856,40.209325513857536,35.7315635922603,38.125786120792206,40.32032448574932,37.33861355974733,34.79378643465393,37.896112544941246,38.34990759080052,33.83632875756419,35.24813034171641,39.42916697525268,41.215521621538954,42.879186004675574,47.62538713660559,45.323158271694886,46.25141014446174,50.54718817324803,52.40057878312399,54.362262176122876,52.28560985394616,51.01277622033844,51.697957303363445,48.266425469439106,53.07449310617078,54.22525170753403,49.192045275435696,50.35575144723708,55.499002966256796,53.42227225580756,50.61530547105926,53.332973658021345,56.312138671977664,53.135476454188236,50.48692078445094,47.05577196502883,45.040241497716906,46.85561987681731,44.58968769278377,43.282993448462896,43.4540107590323,39.616314150694194,39.66912880140399,40.31273810444782,37.151141744468234,34.33915129094499,36.55265341833726,35.21896868674521,32.139761248563396,33.50181700044335,37.27025657520949,34.9725698462096,32.148524237581796,36.92807716394083,39.790118357856485,41.241894645651485,42.79643097163327,41.79641301605293,46.220927696159016,46.449912859419726,42.86668599918818,45.85070367249382,49.10269978888655,47.281240335676905,46.53277341635167,51.95116184591951,52.92316107162975,49.11239495126737,50.77547974255649,55.57442341399103,55.4479330719188,52.54030810237038,48.73026049064604,53.76791409070569,50.92716867686908,49.88046336255118,45.225496489215175,42.5502125493962,37.891461618643945,40.92811449113111,42.322283473735816,46.06544167903683,45.010308103597254,43.73301280656971,38.84805381603815,39.14762462297861,35.001367120120406,32.97505319785429,31.540694608820345,31.898166276399945,28.15716899643262,28.137935781251194,29.747750229973157,26.638718564704128,23.70297879047278,26.54066109169491,27.222996606728938,23.143539114660825,20.477459514392148,18.25229855981765,17.501782078154616],[30.854606510092434,31.818861107467065,33.102625717134124,31.9066657238927,33.40426468214253,26.91736396986399,26.05852077440605,23.81356441806252,20.310615421644982,21.975783226048044,19.162353634755792,17.82223532867862,23.234980413055947,22.355416462794263,21.70703436408554,23.906683266016234,27.381806504844217,29.736154353098783,34.17141366570273,36.10119472684795,39.37236524372508,43.32801192550441,44.805926859732736,46.422821618048836,43.90315352727031,39.95838564883193,38.06494851038474,34.230759043016334,31.506145717213197,28.837211641527766,26.471947857519343,26.119926617970805,25.38649801903064,29.34686350346944,30.700115017633006,32.05986013712749,32.14199196576756,36.475947661313846,38.80743554139127,44.2051170633443,44.60771056115314,41.89667177220476,45.32865567179068,47.68455212086507,50.21115959912413,52.36383459167817,55.28540306905516,52.44108438348913,51.56505133378736,55.91598188973576,54.632230305871275,54.20575518230735,53.51539135608246,48.647787774373526,50.11985038529343,53.004111967899625,49.953084128557414,46.31158052546696,50.17111982991057,52.5205418738926,47.52307705807616,45.7506265944881,41.9021772861132,44.429663653434126,44.90543270213702,40.9934575368286,37.91319416205013,33.66513035699581,32.58969481843905,28.024963593398788,29.14429798669189,29.492545139210932,29.019376691546263,33.712766746525915,31.441294671163796,35.50893156740256,37.06453864059209,37.09342070799238,38.4688519993756,41.965237870659294,40.26575148924151,43.05874226948166,40.04715171385608,43.4680333474082,42.597608073360554,38.634222326985,39.11512849787097,36.380852460695365,35.968252668518204,34.182476056684756,31.874254567913678,32.0736945227533,28.06971401671326,25.07898152649268,22.686004634123933,19.8171775885563,18.528933177199175,20.423586549911743,19.61133080596886,19.284789334157185,24.54896010467087,26.696517198050678,30.268601804410736,31.86936526083995,37.9730428229119,35.91236242723162,39.12104973949522,41.36256718480712,38.88528441756431,35.70246725032724,32.97145821673036,32.459866510333875,28.482883885487364,31.0526320838824,28.371620552003186,31.31745606698764,31.78839774852976,35.20292245898864,35.26160566767996,30.774878708594034,29.907174755870997,27.678075846902413,30.67785178400272,29.453417278217234,27.975205915085862,32.58826010868454,31.371701944005032,34.677156261162594,37.26689261797214,39.242366316431315,42.728531517408186,45.43854367096889,46.636470304678205,44.01786127859651,43.25892231238646,39.34049665591985,41.4702629174691,39.11879753258131,37.95914217047395,37.99147340543122,40.64234011884897,43.00427518426777,39.34231828322608,37.660238630458814,38.671310832795704,34.48895625332057,33.412830725727225,30.326677832301677,30.193438670730313,26.25145375437699,26.859320260049717,21.9481718042974,23.417945683460893,18.647646205882225,17.66283000328711,21.531811563952914,22.60933714978679,26.413043383856337,27.243768120456735,31.69325259458863,35.08934878654655,35.09185105634801,38.07165135892447,40.48093601390323,44.27858116449393,45.1269544492826,47.54640805846775,51.01953205174657,49.40406872852609,45.800489647323865,44.69435238501297,41.355897830836085,41.82367126484336,40.39437891970424,38.467015430652765,36.927643808998134,33.19497631083713,36.862423861728466,39.660040004079754,41.27192223918827,43.33200149777122,39.959076309580404,45.82855197191907,49.258588628961554,47.274041702740426,48.50776162562209,46.36192883351137,51.75544262089274,51.81538427939135,54.065272862345736,54.73561626804343,51.50388097971181,52.337341164929875,50.61956595260984,51.01979693778445,52.10166227282159,48.09945479768825,48.373277490261614,46.73160672197604,42.997724497830916,45.3559417895986,41.287987490398244,39.287436918385666,42.85158415015369,42.879109056196825,38.243731555286494,40.04920253450649,42.515913135251104,39.88633695305123,36.76420366804492,39.67097076208936,40.32955721780011,35.74552094762559,36.620604198595096,40.8579411725106,42.69906669146601,44.66407403456414,49.25402959194205,47.291246632876685,48.410423185784275,52.943742656759134,54.83665321065307,57.00228669607336,55.225522371001006,54.018256033826425,54.932309935810636,51.575360873642985,56.40097111612538,57.31624482380943,52.101484226506585,53.472774015537304,58.500490019587595,56.1565087716143,53.373144498088,56.19186607738612,58.88421188910941,55.51667939562012,52.948262223246296,49.554620368368504,47.95850023083059,49.95647862760754,47.779507847581954,46.75789134334572,47.11865052481529,43.31197835092791,43.01802205300272,43.73258114870281,40.8122199446917,37.74836846598801,39.669542478877865,38.50349003037166,35.35958658576736,36.31806490156848,40.23603275020205,37.953502782459715,34.7471096400029,39.42148856650058,42.476071064688355,43.86890373120787,45.734162478364944,44.86298242202466,49.33129999609659,49.2490434614626,45.45864696153014,48.696824704649636,51.75608563052095,49.69544698791145,48.97962844615293,54.56772618804167,55.20140376464454,51.188252533995,53.06095532693646,57.89374335350911,57.44999762286267,54.379934506616735,50.33527037015256,55.226389916904665,52.08829376017329,51.210358219973706,46.36894826342326,44.07470055039521,39.23919314580171,41.8811600732576,43.51145719637975,47.2970541299672,46.47375292833262,45.61335755538302,40.68017958095232,41.36049301351441,36.95308533941236,35.047729867669844,34.255271046234114,34.81748800388769,31.28084807716199,30.60611097923792,32.12777020486272,29.371722277677883,26.11670237297686,28.301938402189307,29.31251204141846,25.483974017579026,22.655903128474147,20.64003192508807,20.165292673391818],[31.036557859292945,32.524998485399216,34.39528607313542,33.56467659756404,35.703357708861375,29.074400837729353,28.849233999050103,26.81196727951081,23.530987527773313,25.732641825451,23.25414174478016,21.988232909101818,27.489956677830552,26.54260957848185,26.30815296243981,28.52299653257236,31.859317326613585,34.39301341845493,38.76894400671455,40.792204762634945,44.07378926411644,48.07044044548602,49.50656359450652,51.03535256707106,48.51723290869901,44.511292551247344,42.60089079467225,38.68722101835037,36.0931235953172,33.40372784133787,31.26370313106031,30.74577014711721,30.043849093449683,34.063372924438845,35.40906780440517,36.80256982843986,36.72895452808805,41.09592596818908,43.32637494019329,48.736055830851036,49.12712367207895,46.556770462377855,50.03476719986578,52.31617680013074,54.849326364937696,56.91114530803358,59.89456107318869,57.08717332764007,56.07900681091469,60.42336775355796,59.229048454813984,58.73496679609483,58.113518951316,53.23527415337567,54.7458801230629,57.7117737588817,54.68009661888337,51.04968629868443,54.92931705341312,57.3008389632989,52.31684100778131,50.564682797413845,46.712089794067325,49.22702222723677,49.70742977405426,45.79498896465913,42.66551816828487,38.439408486756136,37.23247604206455,32.67866339863136,33.645917408116,33.885356889957365,33.63838932079711,38.378583397663945,36.22358183204953,40.261575122509655,41.8777887656663,41.853037405215765,43.242957082740794,46.73082350258057,44.93075403534701,47.6550446033753,44.47627999025965,47.83074028011017,46.98874953311462,43.13088225056348,43.78230364216743,41.010610655698386,40.74098035845716,38.91862802051204,36.6758906471337,36.80875453475037,32.83452918048221,29.844246718618987,27.490804852778883,24.624551657410642,23.291928595280496,25.096683704184215,24.056715449406557,23.168890861813804,28.805361252200214,30.404861135053796,34.36658747942352,35.515065258019185,41.64915173271655,39.32732795201585,42.26295220729671,44.40834570614979,41.6700601195049,38.62616954625403,35.820562789337686,35.82495770465945,31.844171972693374,34.652163101298235,32.292432165567185,35.19203789412144,35.9729600700428,39.262756564312525,39.59713490370294,35.20215844698529,34.11000614379741,31.750810802079858,34.404262216035704,33.03718479986528,31.295743715739135,35.89883103217313,34.22203018979372,37.810102574453566,40.27335372636574,42.53957111482679,45.74677943149712,48.49952109360915,49.97212902333462,47.49601932487567,46.72695808588749,42.81989345809227,44.5594147871072,42.49212936364708,41.41862339245128,41.767959885111466,44.457656264336805,47.10063375114949,43.5682673779747,41.79431307860126,42.98388761788152,38.84414850366603,37.58026772319457,34.450566822824165,34.07507805871011,29.93893381678652,30.178346087659428,25.19624656185826,26.376521889951775,21.06449347702203,20.947286649474037,25.11056704764419,26.526137358636962,30.064972294347108,31.342810702952846,35.44533096482724,38.998780268111574,39.360117386913444,42.16702279508971,44.74208165522794,48.33872672073188,48.966386655062294,51.30999823949153,54.700189125369306,52.83988577136533,49.294737972110006,48.216407650296354,45.04527806615695,45.72716504239601,44.40138385841757,42.60572898282814,40.98720312611678,37.45368231616041,41.04218540444735,43.927757772587356,45.36220366597594,47.4133249946386,43.7385493614821,49.6072886165331,53.080952903241126,51.16875820764581,52.69552705025408,50.7124090059157,56.069644615217214,56.11458690708786,58.25011881286794,58.75767820605831,55.46209435164298,56.04760446898561,54.14784679405755,54.380190563523385,55.206212885038205,51.045754140786705,51.10168833091447,49.14392077135917,45.45073285713086,47.393551323454766,43.28957317735718,41.44293854701547,44.67218099337356,44.39964200344144,39.768205714729355,41.596585864786476,43.7241721426608,40.81882834584065,37.76380080927204,40.476735655792595,40.78719584300306,36.16896490627537,37.103475330323654,41.04200238003308,43.216888616316645,44.8230654162387,49.94636975602465,48.09836941403164,48.93303974124201,53.616619306339345,55.13216499948393,57.653031468877415,56.000353666829014,55.13259501723947,56.22235453111482,53.16105744900669,58.085721433930814,58.80207909078513,53.78780559829671,55.423335797703636,60.40716340370731,58.006479564947966,55.47061480080188,58.51580152611984,60.9948462215146,57.553232901352224,55.45377394773199,51.732974947655585,50.42316096295754,52.23119979842547,49.692821677956196,48.768949717679696,48.75867940674954,45.27087925013771,45.008861113549536,45.15121469256359,42.25324093254303,39.4695476535072,41.03997749675834,39.443382574595596,36.253926392835155,37.23716732397108,40.811937981125396,38.20603032444924,34.97469713756023,39.65279700762925,42.55946807363931,44.2667873349254,46.348429504428225,45.90498750114184,50.36099149458997,49.93652570850344,46.454734021316746,49.990317184713916,52.81098192673841,50.6991045662175,50.44499385874905,55.951405962677,56.33000963853329,52.53248237984588,54.75321049241816,59.358845082798226,58.7362662762256,55.78671112960309,51.719940471666774,56.50223901278982,53.30747270800004,52.076939854996475,47.39598326970612,45.2222783443371,40.39040875007021,43.096483558595395,45.00848501781034,48.867633971896446,48.34788724478478,47.42621845043523,42.80072754997245,43.75262554343371,39.51783593935309,37.09886390209592,36.44891074498822,36.60131359821624,33.29570470161709,32.716865850953866,33.56072936787223,30.620872222053922,28.06686356146068,29.659098602036497,30.060650309850438,26.192858771044186,23.39940713090903,21.50158704779996,21.148022978399375],[30.825877669710458,32.206311483150095,34.234632130884755,32.566587089680425,35.04309840319101,28.648535488042235,28.23002019005693,26.86603087302652,22.919235978322305,24.51568653872524,22.021970399504802,21.720082220726546,26.679038254537875,24.827988089061936,24.961214306626513,27.641808037132694,30.465098100374234,32.84617374828436,36.72698052894735,39.27069231608738,42.2693078329942,46.52345727787639,47.60150239357552,48.929873090503776,46.701998983045414,42.52626100035466,41.015042411154944,37.10578905724289,34.910143211366766,32.78993173538554,30.375906729095796,30.731487784972074,30.316562567100828,34.06416570258709,35.312130192019055,36.1527449240735,36.592999437608654,40.30331002620326,42.45355150893007,48.193131748395075,47.910748912453876,45.25731288634714,48.966563845248594,51.045315347130646,53.25735531531855,55.185010978465854,58.2810706664494,55.80545716451254,54.75493393912523,59.268177821104906,58.366208952223566,58.15570481898267,57.661914097593346,52.650876103480144,54.57840000032508,57.19639066455129,53.85383187034326,50.531569624091865,54.46739750739094,56.38789582697007,51.215055832983545,49.55652392318932,45.84287066336949,47.83902304809457,48.26983551624258,44.581755776194214,40.87648116368653,36.87128013253793,35.03151983973848,30.568124790465678,31.072703013706278,30.97922262805974,31.34664622608659,36.19585491371078,34.68415819091187,39.0540690536873,40.89531035267032,41.346760222097515,42.83445888776016,46.3024284249603,44.91758016533672,47.564373993697416,44.84108602089818,48.04796621957536,46.78257246062494,42.95422015862756,43.27478863441895,41.03830696817755,40.11307784528844,38.77650276977998,36.010959821380965,36.01778939637142,32.05330321049841,29.44421465995148,26.839193812709777,23.83287891713251,22.1749701302429,25.182732437193796,24.442801243238836,24.719493859147033,29.708038600164727,31.81566184383649,35.227835653805954,36.598998422744174,42.54072637389294,40.067808170619294,43.35433284097401,45.186477160651705,42.33210554591924,39.510187873289794,36.26310750976381,35.82170829402291,31.49600186475386,33.78181845169605,30.992656891397928,33.47291714496156,34.131104497945316,37.06201474471619,37.18439346431875,33.10447012974874,31.681934152704606,29.54291695774902,32.051572036759836,31.09839837163617,29.804034124987083,34.71390907564776,33.79318007279958,37.41756908187312,40.25063179373794,42.7640533552066,45.750084918167516,48.86381969404331,49.966617023602474,47.81284911440511,46.44157596019162,42.29399274705009,43.81522894525688,41.33072646145066,39.80650308920311,40.23642343941241,42.34294249685422,45.04657365737037,41.63855330916156,40.15875448230149,41.59576786120013,37.74562299499735,36.41295685957921,33.738057256709205,33.82650336204846,29.77185410594481,30.757979390895017,25.97217430571081,28.099048672481114,23.250908303657262,22.745854805756125,26.557846959760642,27.184489033351102,30.941833905422463,31.62874174947014,35.830167950691774,38.69941866676882,38.87087366407998,41.15188223924883,44.01574859654178,47.45491707544236,47.65314321402051,50.397109683912674,53.54043985232692,51.79724490579472,48.05270747622307,47.31422197725688,44.04687731686743,45.132332662018634,44.12052422935315,42.541408948003884,41.402248455310236,37.67833700373931,41.78184501958998,44.16005853432457,45.85774511141748,47.38074319370538,44.02949974780077,49.8368675457644,53.16089517607017,50.94231372455153,52.29694840146257,50.05870693391736,55.388842117632706,54.92260628574458,57.405033422864996,57.92410411313559,54.83065238921329,55.509117135466134,53.74768257781855,54.225018074775825,55.206910129855366,50.96197047136,51.39484042441771,49.435268349604385,46.024597782862195,48.26159742501624,44.40849818125942,42.13374559120621,45.2192983286381,45.43212830010189,40.66658552403728,41.77581335266606,44.354818909827024,42.04994150248228,38.32430340741745,40.868734771805336,41.60681467774949,37.001375872532854,37.26201650565638,41.3662603777994,43.38598057433601,45.52956887424259,50.11012635787545,48.61935352807927,49.83104262606681,54.677495772345985,56.4518198261284,58.99994374443176,57.671920975821884,56.70439265905557,57.98882785297851,54.891776215272486,59.76896103494382,60.270542590208464,54.95603276796397,56.725183149707846,61.556194617827614,58.85653984785739,56.258796712429465,59.31856034023831,61.51802746460921,57.900145240841056,55.72847093074044,52.20281689987129,51.29956118328746,53.39523060798121,51.137896174005206,50.546310410499125,50.96711195808727,47.39073235067603,46.65574024839066,47.164579645605265,44.59846950479505,41.36726138990292,42.73005368304234,41.6002321914389,38.395054601949305,38.84977509430596,42.76411934707241,40.41537526377115,36.7743682991078,41.243843961305195,44.446088406367664,45.861358314908614,48.18350999843616,47.66124411352006,52.14471644216727,51.52097554950985,47.63974289373202,51.30065749497337,53.986379492322875,51.6251475513283,51.17862337934484,56.88892113666142,56.98239969301257,52.86633651980521,55.15433743434496,59.87513440904193,58.96529184607529,55.7873409306804,51.49355676214045,56.11903123797788,52.6390009809599,51.78322851496564,46.859158658606695,45.086404513286624,40.120232183833494,42.31207989696661,44.33423932719665,48.16352624010551,47.78040596525943,47.36618728964124,42.615123262054965,43.88315328121513,39.34956408691144,37.29798703567314,37.33086192125879,37.9006479714008,34.77902826751115,33.41565403015733,34.452234012464054,32.07195389114662,28.879199135258872,29.983840615552044,31.061109433717014,27.609148909082077,24.725782540243276,23.078047086016777,23.03188317097176],[35.82802036584024,37.53690321432648,39.937093968602355,38.268149973690804,41.09202855199792,34.73098303241357,34.4516984755004,33.1817128159241,29.212366330907436,30.656441475871798,28.066498411819065,27.832675857889907,32.69716358748224,30.640999820158513,30.500402553261303,33.269878436352144,36.12909093938462,38.13174847209462,41.75274214016122,44.45302597931807,47.174834077172946,51.47618534146113,52.38349770316823,53.80605189702097,51.850207491460026,47.68632113586386,46.471181681167046,42.68394129831796,40.47745921646877,38.49388490229127,35.473476529968345,36.22299086547417,35.37077295788867,38.7996706140721,40.477804890857385,41.42480244880354,42.183184873027386,45.87140349087831,48.161192669777364,53.89403609007466,53.51749724084588,50.604264272277526,54.259447552411636,56.445464079071364,58.476561337206405,60.477422439902476,63.513763076201286,61.14433088876151,60.29318197608602,64.855709722034,63.89970878861031,63.82224700460172,63.20883382313193,58.24597372308106,59.98863542839097,62.44392003024359,59.095947718516,55.69201960278408,59.42788247758255,61.357446220519925,56.10723989481235,54.12096327642497,50.356449959611815,52.08237918080678,52.85887460449336,49.406452100489275,45.458077920790636,41.62675338848967,39.65112623710375,35.252538341581506,35.59698331782851,34.940732350872565,35.46269927848379,40.26904634255612,39.075394163437174,43.00794906531779,45.404864307000274,45.66041166916699,47.55128160812471,51.23009275363715,50.13411171826071,53.05846272120442,50.49798195410869,53.8634297433257,52.6533788824512,48.689988069870616,48.721986509780294,46.40486011773173,45.2002370441613,43.48506994148527,40.59918487570676,40.01835676072656,36.25342241951451,33.922231829249355,31.832708770355552,28.505031619373167,27.39160978524901,30.528561276077827,30.16933919365752,30.406568644994085,35.39410326403029,37.74751693634191,41.12131675146183,42.712853761840414,48.70470796374443,46.33624732791626,49.5967831275792,51.4802135369801,48.613662807170776,45.78589469178968,42.5590854416036,42.13504409877163,37.793681210919324,39.982637089514725,37.03641502490333,39.36469321209124,39.828013585542585,42.60922211489215,42.334770621727195,38.42055946058977,36.99486001342072,35.12602917463998,37.66108731299491,36.963015186207,35.863722622567366,40.840576829599655,40.03455390155069,43.690131659780455,46.54735845351697,49.081907755805005,52.0446722501747,55.17652539895691,56.27244981901472,54.11330058278255,52.72157016281815,48.54728785797917,50.00464974495715,47.44093885279437,45.76593612524967,46.19722753644314,48.00778902895441,50.624668487693455,47.22436794143782,45.95528593744389,47.370339381717876,43.592862420261866,42.37341363083364,39.822787497512465,40.046526542925506,36.04838925902371,37.0515447290102,32.23687027748261,34.145922530828074,29.119540084539768,28.646959674708178,32.53685375870962,33.29045305518406,37.11051142094246,37.71126544264534,42.06181416579565,44.90270360702728,44.87636956791532,47.17399379342723,49.99112332034717,53.50619344805368,53.65675911944351,56.5268434404373,59.607212134175924,57.915702836415186,54.118760895869144,53.479904150287986,50.18068752123917,51.29853065395793,50.27825644582445,48.62766336238795,47.475971968832894,43.636190180570765,47.63326327353136,50.09487110347196,51.883487208769786,53.495707898586446,50.26135925034808,56.07172167842409,59.38646673796233,57.140433468666515,58.340018888480834,55.95949444995813,61.3012977265796,60.73537702517777,63.381571226330294,63.981103177088116,60.95239801013318,61.715406125440865,60.000109242763536,60.51488847406594,61.50145916701389,57.23391193878629,57.661204208944234,55.626145860824245,52.24338694682319,54.35731018335744,50.488274603487405,48.273275745283975,51.2253121691258,51.32571139593494,46.56978226040637,47.626482592380455,50.07302958575214,47.654704068529774,43.94530554049642,46.335327555416754,46.894997815729084,42.29840592284694,42.495746081076305,46.37852191248882,48.60018414613292,50.56136743640374,55.40849417116871,54.06735005786003,55.13095234861088,60.07551638288762,61.59879731025308,64.38276326994726,63.1366631396168,62.3667490968755,63.722417226246364,60.75969612888497,65.6776671814544,66.11600921268965,60.9065685033858,62.76880575714581,67.5885225922285,64.86866317154198,62.366617248194906,65.49508877566501,67.61111788785816,63.954610882921514,61.93765096921458,58.32851385185736,57.51542536085672,59.54694339047057,57.15831918090984,56.5441138737305,56.759068035723494,53.291119256508885,52.67264675296915,52.92503084027002,50.289514754083996,47.25867163427372,48.52481391636258,47.13265078687973,43.91516958095751,44.44604793066447,48.128652331843426,45.56323870493458,41.96204364058649,46.41636601629002,49.49168499453377,51.12397788207256,53.563662283365375,53.28715249969273,57.75499894996663,56.950185447028595,53.2623103203708,57.073372923804506,59.62693378466023,57.229757762725576,57.02226479621511,62.691932568332405,62.62030162817648,58.59642155728764,61.06765459373138,65.67891270506601,64.62630906510675,61.483376721110346,57.14005845044625,61.63996959259388,58.05256832320967,57.07999866346168,52.218896848214335,50.64056915543776,45.67499431073491,47.74454895811432,49.95639378786694,53.79790863831427,53.61309676654764,53.28566998609774,48.65916168572571,50.061133445436305,45.54934241589905,43.38346472756255,43.482024062115634,43.89816803760365,40.823906572526056,39.550823688730155,40.33214004431633,37.858095316068656,34.969388831320586,35.820395369629495,36.61252834944841,33.15591111264702,30.30005865547902,28.65497610631551,28.539534625389123],[32.14845711967751,34.10243582102288,36.961496784468736,35.2010874116227,38.679840096766526,32.48107763429301,32.71306182685218,32.04957994861207,28.10093561861171,29.88042570405193,27.835361281270153,28.09239175272164,32.751519866851915,30.388087977830207,31.174089478319942,34.059406996067636,36.38764202084937,38.85617884439165,42.302216423778646,45.24901276691241,48.05322975456807,52.48219037216093,53.26073350780467,54.320241721601626,52.306728632867504,47.98841322276656,46.72770001615,42.77498498498785,41.015529111111164,39.23100446789683,36.9634370963612,37.600399300249094,37.393484043234594,41.056301765161905,42.21504291826608,42.758523797511295,43.311164871714006,46.631856173858125,48.58616174776979,54.51743340293737,53.77254380640173,51.27252594879574,55.16762825310748,56.995063719877116,58.98413415261221,60.68181590024528,63.91600540430832,61.73579589874517,60.48774418899982,65.07880581737791,64.50708952925966,64.40702591891124,64.09535604433826,58.9970447107678,61.25914012610954,63.7423060779398,60.21963447448241,57.13786681694306,61.13304793198614,62.76685465511903,57.50743774245236,55.961077027278755,52.35810030693289,53.99396396933171,54.37790535098653,50.856280134883285,46.765718806050224,42.97004274146393,40.61087090597982,36.31237397525486,36.3456210242327,35.93546426696838,36.94732167667527,41.817689863590516,40.8573652990026,45.365415756497754,47.377628990703286,48.07206760531064,49.61005597598072,53.03029692527969,51.78377599454306,54.2782860320725,51.65312908423257,54.66762252070663,53.159852470551556,49.50327373449727,49.82534411308447,47.894005563193325,46.74619211880382,45.68979617109093,42.70682875949027,42.592801603682034,38.69387744617252,36.306814588177176,33.613820952225744,30.5979138363159,28.752250928805427,32.19013145924642,31.362610059009285,31.66402731599895,36.68033682417459,38.48213550225766,41.98495862092188,42.9746395589193,48.79328718267798,45.92959026515391,49.0981980750899,50.58336900053998,47.359858679664015,44.89200667673702,41.30770124784233,41.19311184828073,36.72554548956957,38.91338695738402,36.30270347825306,38.4045769432932,39.35432629690722,41.835211922900925,42.177262365222276,38.49771298905697,36.627504557849726,34.525125039858516,36.428986565805985,35.59506583886346,34.30759792128612,39.26728652018678,38.308557480979474,42.22544966395946,45.107766445963414,48.11293733420974,50.565959379777276,53.95587298083638,55.133183147196014,53.401795431687695,51.61307268067553,47.362977047724996,48.218506492349,45.84364352509134,44.14592060847814,45.029276519192756,46.75206755130764,49.82278025630168,46.71965559318774,45.338718673360766,47.14364720974323,43.58042208371999,41.99385280559775,39.589458702969615,39.67835959254922,35.51887333230873,36.52214689688003,31.86364030926464,34.187711708730866,29.145367106566237,29.263293917586335,33.14075502386755,33.68188031267173,37.24303404262745,38.070202655545735,41.89813450466413,44.4898002152361,44.969839813194625,46.67566203158562,49.905732699168055,52.95373656677299,52.570401621726,55.46691704484529,58.29537573041959,56.33277142582025,52.56641106908412,52.11396854375493,49.034381875160264,50.652199706455995,49.9889812579315,48.72508732181777,47.807326266226866,44.219988858178425,48.537244836090395,50.684960790375044,52.331806757751664,53.48352005833438,50.00015362696556,55.72674624709468,58.98190721858746,56.6558756705141,58.25685441814526,56.06515386291909,61.298092937135976,60.4588124134678,63.01722167080549,63.32732569729601,60.31772187735662,60.731692516826655,58.84767082708784,59.28061150631036,60.038001038549616,55.56488476979919,55.98808066905975,53.641637582729075,50.53066747452929,52.427754091463974,48.76337489267712,46.40596722895872,48.910918859880056,49.098161020948716,44.32100254885817,44.89777870468869,47.32696060513356,45.16897067373111,41.10068878824592,43.19390961277977,43.7872992544315,39.26713222740043,39.06075337023615,42.77701595538686,45.08186611363993,47.12536588857639,51.91095227120819,50.892596447902044,52.00121513937347,57.11180481237001,58.558981244198456,61.58334652980511,60.69728291608262,60.11086290016825,61.76664795443684,59.053895776756505,63.98092809990836,64.05253164852027,58.81832599842186,61.015866384659056,65.63372619774972,62.65121572053675,60.355255848746665,63.695257415902276,65.38242617043808,61.56379440665612,59.97740009449828,56.20695793862917,55.982967584120416,58.02918057773069,55.541147229498335,55.32466019139825,55.59386813650539,52.38330582706112,51.35291569196874,51.41050176674438,49.14827403306581,45.978998774536905,46.73774969948832,45.43553859315226,42.22352483932295,42.30762921290014,45.96381908835613,43.44790404925645,39.54775463162699,43.7460314265613,46.92026716167731,48.491516611959284,51.24832725073251,51.22701872396397,55.6577708026085,54.43581618236531,50.706353622224924,54.801670842730985,57.033526680804364,54.43871963038204,54.46134408169633,60.15276436885561,59.67734470007255,55.652181727933176,58.430448267045385,62.88550287122344,61.514134589327575,58.35641678629044,53.910106331547446,58.19570446762863,54.452514287718316,53.42276202511537,48.61147955783135,47.36168751738365,42.40493356144314,44.22307328259651,46.674927599154444,50.508706607900606,50.65202129997426,50.55357456620047,46.19449370111057,48.02213716591977,43.57142464698462,41.17915914702702,41.86828492626728,42.22095175906144,39.56291575489408,37.81062660104006,38.128752311132615,35.990410522299975,33.28948884405758,33.30442103195337,34.07087672643729,31.01510124757676,28.25004785364339,26.9949881260635,27.2582025524232],[35.88776643894254,37.710766407365924,40.521018174403295,38.27675678983928,41.73597347685123,35.750486656986574,35.67705479604518,35.20248432979852,30.94060163375392,32.12542133369812,29.88969620101815,30.512877192145137,34.80276781504427,32.0046863330257,32.56042865008319,35.6401253879011,37.812490634865846,39.83930089932999,42.87171906341275,46.08137526390617,48.534691215391284,53.054706539354555,53.56702598956119,54.639937610013746,52.96353070975387,48.644506991269864,47.787921218023236,43.996505905794145,42.35381442668444,40.92192627886975,38.061025949195226,39.372779283935905,38.97296804350747,42.24633211305572,43.64673569556538,44.020695702870874,45.060893312165106,48.059792190503664,50.11044706754541,56.12461658047267,55.04931833333425,52.27892410423131,56.18295915589428,58.025996868714955,59.73746873015294,61.47177476018968,64.66495228674604,62.68714780320498,61.64013025904511,66.3190999712439,65.78396336507718,65.92675188201785,65.54803545640132,60.460237976179485,62.729282109195395,64.9053819090032,61.25831295630642,58.25947547465164,62.10717684646718,63.53558641717073,58.16848249743136,56.4315129717273,52.88309579576106,54.09736995975008,54.69917625377755,51.4678485345307,47.01413055107247,43.46960782863393,40.82027151053256,36.66287788612812,36.43458556093157,35.51845582706228,36.817657944153936,41.62479054000869,41.13780820899825,45.45134447518947,47.894101382062566,48.67248755376817,50.507551118532085,54.04170452201398,53.219658332158126,55.88975401927105,53.64819423207063,56.732999062661335,55.095811225785475,51.32820504217032,51.235457034362895,49.493732890452954,47.83597095686241,46.74455465110114,43.46927741220105,42.931995156178736,39.214790351510544,37.209680692054604,34.7874979250979,31.56079341726355,29.99944613682594,33.96449914475119,33.599496952506954,34.485720476364264,39.085939987827174,41.44856994773754,44.5419142362266,45.96268157710798,51.71171276451647,49.00854497669603,52.407299895936724,53.86745789912006,50.741950822737834,48.277094378865065,44.61049404850639,44.093274710115054,39.52098227502593,41.31564309807533,38.29377646000729,40.12160092724387,40.71727128184493,42.97431496617192,42.79548980299865,39.37316136963062,37.48443083208094,35.763114563562695,37.7728200346493,37.37764338835859,36.55422670011253,41.643348340431004,41.28991687310604,45.07214086497547,48.1545108213663,51.09848058633721,53.59419015357118,57.092613243929335,57.98218126809212,56.295357747164,54.28372960085651,49.938668875347666,50.86942960636128,48.140311648698756,46.121739768703826,46.86567420041785,48.09863936042688,50.9663078473502,47.877507134633795,46.82901950543295,48.61942728086453,45.231887495801296,43.8030788336082,41.7073304178181,42.17867093255325,38.213693513616356,39.65258535956829,35.09312152968014,37.683179898864445,32.8922331149373,32.55603226837624,36.2363718643648,36.45705750610753,40.22547935215512,40.58070080037173,44.68189303985884,46.91187213060708,47.00402850579676,48.58725928938705,51.79496047363464,54.920117759292864,54.44504391432332,57.61832811871347,60.33480749351571,58.595970779759625,54.697897624308595,54.43749798382494,51.225545258059086,52.90354122916912,52.30548841663748,51.01552152215029,50.310408769248646,46.50201349687857,50.94457658704151,52.907265308174395,54.79247323744594,55.80978152551589,52.69511103502382,58.37851216925561,61.537087659215494,59.04760379677451,60.31449875524904,57.850699819493826,63.07540578436156,61.97064368138088,64.8320385964973,65.28883819566501,62.453488707796495,63.09171408322774,61.39645156965699,62.036656577906285,62.99052214294408,58.56793002215308,59.24089442522531,57.019974503727454,54.011173770712865,56.14658682029966,52.57666707962644,50.040040877526636,52.5863012142074,53.021912998664135,48.21042859598815,48.505337978611095,51.180193911,49.290924127380805,44.99177216604653,47.03499374506697,47.84269177095199,43.354861488540024,42.865197609782896,46.65042415824353,48.840474857573774,51.141540080865695,55.6075521833771,54.74905900263713,56.04430314249283,61.18532303364198,62.76407625970552,65.75491393709132,64.95636669859145,64.27837589274648,65.94674950459223,63.14741876978403,68.03350290976441,68.10196113733917,62.728287768651825,64.88683071642306,69.46730703790628,66.40140995427723,64.01396772948785,67.27752341414599,68.92454410188193,65.06094862787454,63.297679067240026,59.72791374084633,59.54911922709498,61.75082675978983,59.46607428318099,59.28799342219631,59.75531995550886,56.41347540761753,55.29650997708222,55.606590722932616,53.379813841531416,50.05615606176613,50.88106493728783,49.77374733648214,46.56497994988454,46.540449658882444,50.337895202014266,47.92575895675165,43.94469519286885,48.083568522826994,51.347011405331706,52.79966315197308,55.58672521155697,55.46504235877032,59.90341025563091,58.690809702364504,54.790302136774265,58.85830304566093,61.090530070321364,58.419838838752206,58.27957018933499,64.05341509465434,63.5121040533294,59.32238622621106,62.04922586066166,66.59035127182034,65.12272917528888,61.8433657705718,57.30407758420574,61.49579879731459,57.61476834816994,56.850197483674435,51.917256367014595,50.87995285494449,45.890542009305356,47.39743838181517,49.84857317310927,53.622239726970776,53.78171464542222,53.962048435160085,49.48385777676643,51.360300884861026,46.741129127138244,44.68238336454757,45.55811931417946,46.15597906756336,43.46060473659632,41.48245956352668,42.05429935591533,40.11128323804356,37.05376256197858,37.078513704929875,38.18845607638494,35.249303984985296,32.45297392284292,31.194302067143337,31.434381790580623],[33.01893970022921,35.01281212869988,38.15549021507711,35.87777454752288,39.82142319712054,34.02885717397935,34.36510265361464,34.346158152328734,30.190475303238486,31.646847958339272,29.868386225184253,30.79781983296553,34.91428478640635,31.972885649021173,33.22013063283572,36.32189965005977,38.10327388267964,40.50263013247662,43.42992634750558,46.76721007711165,49.30900773926241,53.887652152707304,54.33622193476925,55.12842882023545,53.37590378801938,48.96507190410075,48.033337010126964,44.12820779037471,42.817155537880936,41.50319730502007,39.27797691069189,40.41383365377113,40.490842107577166,43.96066460755349,44.954917786520056,45.0598480762868,45.88590137104896,48.63595176960267,50.415598750420685,56.536054786408016,55.22769527323253,52.812022538540965,56.87503778209802,58.441304766822796,60.14600337377484,61.63479520771931,64.97328058723724,63.12446156688988,61.7519071990043,66.42848442117469,66.18267718019473,66.28041897870129,66.13719921158439,60.966162597389236,63.61103808027753,65.83571864561077,62.08911535360281,59.328862547516316,63.370158228624945,64.60310535663194,59.261251638897704,57.881780881268085,54.45675227611895,55.6601180549296,55.93855391146022,52.63234637397526,48.145394869372176,44.617546567306924,41.74575934933933,37.68225022653824,37.26246811345986,36.60934668446888,38.2145578835701,43.03218295980776,42.65195195528201,47.37819022633069,49.47078129919515,50.548879213697035,52.082165106928876,55.3991857648962,54.41642883277623,56.741803957592,54.41885691020872,57.2248211783615,55.38969478999883,51.87946658629637,52.04778820030646,50.57218141052212,49.02769584891166,48.418329403401074,45.13141757228122,44.98811009740111,41.170689159536934,39.083699777230414,36.227004256886886,33.27511956908351,31.19291727828956,35.24923118744223,34.51110098653633,35.3671194746968,39.99092366811771,41.88888247930449,45.091782667022215,46.027946404743396,51.618493199602675,48.5538155486934,51.84345032333149,52.998541495261925,49.61775810982981,47.44176854051866,43.543435462906906,43.29142950538391,38.679387894162474,40.482871044664996,37.78296670436083,39.44105553753293,40.437064590645804,42.46448411612775,42.8158313506074,39.57380217495242,37.369623554813344,35.451506011012064,36.938624571293275,36.40697589569348,35.414163212891765,40.42148779623354,39.916749876971046,43.86856616707533,46.93188636655476,50.21546267838826,52.30423761914294,55.97064152298681,56.938901992821364,55.58159921859977,53.29915958021398,48.93198532297551,49.38688430915315,46.84954329933058,44.853483487486265,45.955056931246816,47.15433900977471,50.375161013747835,47.53469365352751,46.374759456877015,48.44965285791835,45.231032872239524,43.522440531848694,41.52520670200715,41.85686748508826,37.79750797288041,39.18582324670333,34.78972259333161,37.62381175906145,32.86810009024982,32.97724812890076,36.621682078354326,36.72036159395162,40.24606299396196,40.80440687481287,44.463583460253304,46.524414985941746,47.02927575314077,48.17020355326069,51.670157306516614,54.415951036197896,53.54451492126453,56.69596235454043,59.21521536652347,57.25553960372259,53.413111034944684,53.28276920458137,50.27067105173166,52.314352149520744,51.982886924237064,50.99137822269443,50.44242835129706,46.8644409833429,51.50066055312147,53.24336684381231,54.99020699229817,55.674227569217926,52.356780361899425,57.950746000661056,61.05845469760122,58.53476186226522,60.13070516948389,57.84810108328468,62.96807677497347,61.68691841461649,64.4399936846168,64.65896896345652,61.83193962326034,62.18307552014914,60.35051665341021,60.9083313091793,61.667538515654144,57.1060418560518,57.7547584499629,55.29905359054301,52.5104289922118,54.45352076919331,51.05808753708324,48.44037428688668,50.62326856993067,51.112244203708734,46.32269784489567,46.25454436743844,48.88676801112895,47.20570648832713,42.67421434634486,44.468218334514795,45.29254789358671,40.90715160224893,40.10835719088713,43.72633601359205,45.96459902666474,48.31093414165458,52.704368789137646,52.09855972019018,53.41729731286977,58.655863225955244,60.168949354183766,63.32593700668034,62.80494236666639,62.272170170827195,64.16066843592783,61.567881465522554,66.44045532639124,66.22945640979519,60.86759101324308,63.273367821083305,67.68254761736222,64.43242686058949,62.21940627874041,65.63506850428203,66.94788428465726,62.97891054029589,61.56666784661743,57.877899780664045,58.14845599158852,60.33952778824105,57.98039983372591,58.100972776656164,58.59679272113097,55.47164058808925,54.05890978130114,54.209089989404546,52.274486485632224,48.87865835546997,49.31375599821322,48.277307842380914,45.100350894916225,44.742087932485276,48.48415837751654,46.130022595064204,41.96221679657503,45.865503154349305,49.17754991519312,50.57233603902062,53.58030278678786,53.65521942933528,58.03871727826177,56.515493810381734,52.61129865926272,56.8724884792444,58.846503082037906,56.04090246230746,56.08450770384101,61.84170274829653,60.99446938100322,56.83089192110722,59.78399944649439,64.18012821307077,62.47533383288306,59.20500799957781,54.611903217261045,58.61973059097872,54.639365296922385,53.823593529060894,48.9600663690498,48.18276426499711,43.24065485541961,44.54412543527338,47.169297351335615,50.91536159109177,51.33280849434286,51.67803801193388,47.44575031088905,49.635483217057455,45.10890281678294,42.876143633931804,44.18527402305313,44.718738620524384,42.36195917755049,40.05635652446553,40.260789525248875,38.590043293525035,35.72574277402439,35.1130068922555,36.18215808385428,33.59203690529592,30.917380107366668,29.972113316326276,30.495887726831423],[31.662164630863373,33.97950564172738,37.55079287663991,35.506163124719215,39.96097636065736,34.3382738129368,35.19990215649108,35.49492507360481,31.618370235011124,33.47240892654244,32.10854630934387,33.103837036462345,37.18335251574488,34.29518982937268,36.0375406466229,39.07513146863332,40.631350729960786,43.35330266645199,46.26462886071284,49.624396560641344,52.27083007104733,56.85434177173232,57.29780599630167,57.88999156719458,56.044434548191774,51.588979293378976,50.539171675924464,46.5442416261992,45.445707728575265,44.126004148815426,42.43770110005136,43.28447284056174,43.65623576954049,47.31768164193601,48.04415269012647,48.04922626817991,48.61172191681837,51.283298970071634,52.84898726092936,58.99385164482771,57.60644694266819,55.505803044362004,59.65789152453551,61.02679189243389,62.76878760236878,64.06271400702508,67.50383354047861,65.72278993496991,64.07771380134861,68.71936921586538,68.67730809931311,68.6855975223595,68.7209839173993,63.50836580071304,66.38402642459786,68.71092023362392,64.93969067655786,62.31630830449221,66.49416218928125,67.65129104872385,62.35978068731205,61.2289176890697,57.87051690675864,59.13610809089785,59.19344260004177,55.80454044388716,51.37314352828296,47.832055571879664,44.88232172680759,40.882638187969725,40.380738910542526,39.944283572138346,41.69408656838432,46.50174074487355,46.118299816379825,51.069512040963055,52.90316008972695,54.10874127472861,55.422757814378116,58.588651135996805,57.40866093934834,59.47843431554062,56.99432069224904,59.59530426717147,57.67951051322688,54.3868136199935,54.83320633187997,53.46488976831997,52.12795724151543,51.778590885043926,48.570139929545704,48.69956385146289,44.81271483415642,42.60813193883454,39.49958891602165,36.745307926132675,34.36198732015249,38.27627545721052,37.19654241300603,37.77182410783494,42.56095697409178,43.93998464000128,47.37157394801262,47.8127289810697,53.29665734006101,49.91771569569779,52.9915645210944,53.9129798299522,50.28750679993579,48.36714804725095,44.348141355886,44.501309499986064,39.94061715112987,41.872895581136184,39.583370802276484,41.15717244498623,42.54325825295373,44.412335753297974,45.26063464651709,42.13729258580719,39.72294371581152,37.60723627752569,38.6287873585194,37.892176967191844,36.63919694454248,41.47956386478561,40.62468636672332,44.74953003157069,47.690146209783414,51.272055130856245,52.97475461467344,56.72428070394829,57.87790411215528,56.785940831247444,54.375373588999075,50.049149408639316,50.039278924391,47.81430189741073,45.941496212846545,47.391659633638874,48.655686276691966,52.19809773073117,49.57822286072981,48.27077967506228,50.558969163450385,47.44575578651419,45.50028042086367,43.505773824607616,43.60550294307057,39.440918566241955,40.5926925523408,36.31372111207365,39.1284442303084,34.28346910434354,34.92740437072849,38.623354270827,38.80396960294298,42.05020854530221,42.93537975613442,46.15822757373891,48.21573035509369,49.145923795352665,49.983070801332836,53.69304832356042,56.108970919189034,54.932321025292325,57.97497253796704,60.33679755356879,58.12035556581084,54.38723607191222,54.32303061499784,51.545604961400585,53.86694826077788,53.72593587652565,52.96788001503822,52.45274186966681,49.12737394516327,53.81106093621851,55.47719474160679,57.03744042327573,57.534663103146976,53.94966210207993,59.46470564022899,62.55553922726393,60.07263134025617,62.0219833579499,59.96079937800748,64.98425205873214,63.636519732346876,66.21990056765226,66.20478806548513,63.34700117991686,63.38773564610212,61.38106514148029,61.78980317199982,62.292112532491174,57.60094428969019,58.113440303246136,55.38014922933735,52.76923357599007,54.37727439287972,51.11073846455233,48.54295894018625,50.3155783527566,50.69411107219143,45.98297325622135,45.69350746924881,48.09753059624041,46.45692324101385,41.86844212179078,43.369665552927415,44.02884288283234,39.77980919156204,38.80245964127613,42.0870610788938,44.48773585113284,46.657765843393626,51.20494001627678,50.835550825616565,52.019950786437896,57.345123529800766,58.62164247129716,62.03658541263238,61.772811971676475,61.497831572404536,63.60341179679383,61.30194241459952,66.17475137380494,65.6861754803538,60.4631613177689,63.1352786859856,67.38254019727785,64.00712152587654,62.04096211222148,65.63897287808648,66.6288174606641,62.585824978209466,61.63686647295426,57.74013649905698,58.42357643837473,60.50300907656474,57.94991312814571,58.31013454011454,58.665313317612885,55.84493801335277,54.260618577954475,54.060711965211695,52.3565789664154,49.0606390481531,49.081982870199205,47.931676396066216,44.80486301581681,44.22591625251772,47.72981346460074,45.31938362986177,41.07247448107526,44.73523197517563,47.97114666783611,49.44159179029788,52.66826959478301,53.06610149797572,57.36290161042817,55.483508066156155,51.75637591217938,56.24006527709431,57.910160157562295,55.01505474136616,55.39913114479356,61.05455642920907,59.88818304182638,55.885964888446445,59.12941264688996,63.28495136980136,61.35021932245767,58.17623201719923,53.584140473892184,57.38031675333637,53.35017610474768,52.318619275669946,47.64699502842681,47.108899146403544,42.27901271457533,43.46852765236634,46.3087587913866,50.025928579091705,50.75425704362753,51.15681964087016,47.28540529453293,49.76513956742616,45.44146224480454,42.88655708207164,44.501165826121685,44.80849938701066,42.8006900423489,40.37097399765215,40.043726446200175,38.51204945646548,36.12125687779945,34.869546446478125,35.61790034550029,33.33022154459042,30.839898434562414,30.18485253076356,30.91687928930763],[30.121254980172793,32.17018156963695,35.694952661705784,33.02940088562716,37.64283045478718,32.49901691263076,33.281609067553454,34.16094781071831,30.127955312474047,31.597277310406117,30.546942351363843,32.16729505800229,35.61749558606024,32.294974781265,34.523076322462195,37.668012589606555,38.6557324181197,41.38634769047272,43.8626697534553,47.47875317837134,49.95362220986537,54.604981267984684,54.813990631866474,55.126425459731635,53.42977497663415,48.932233074211894,48.09262148743224,44.15629260136478,43.49651156168788,42.6074841169526,41.18456484048174,42.37076540245715,43.14922396532776,46.66787526402643,47.07989101147386,46.62846673124368,47.348478951383676,49.442076084763215,50.784949219919454,57.045373654580054,55.17532335645055,53.2534117626131,57.536991719410636,58.619873616606164,60.149539843144794,61.221114008346056,64.75016766400671,63.24530606096268,61.43788812079295,66.11291080107712,66.38032645289898,66.53325525298018,66.75729205178692,61.50257129742687,64.77236508399342,66.88876987534383,62.939954359061346,60.66667849074282,64.92247442797832,65.69634931772866,60.399042351244915,59.55710559589752,56.413985411572305,57.38051042891526,57.20157545394317,53.953234297702366,49.3046627393687,45.988373162018824,42.66673042342465,38.92849873685401,38.08156489035201,37.667948744492065,39.8590617347721,44.555926695716515,44.57755002335749,49.833389231308935,51.497707469096085,53.120084911761076,54.263388515852355,57.22185008664818,56.207136428565526,58.00892262253255,55.80435159629831,58.13623763268602,55.90461229686703,52.81843558264765,53.19370203248244,52.30581921934076,50.69538552366978,50.90858966463733,47.50004000014227,47.82419148789301,43.99400000753949,42.006087894690815,38.627339263177085,36.109217342514484,33.38357767947719,37.75172940857019,36.684459017661254,37.85253776805218,42.11773463498076,43.56201481879452,46.602492427283345,46.98779192493583,52.16383384029457,48.645963636639024,51.87134569040758,52.47410503713951,48.79251262456859,47.14014787495613,42.86646696484107,42.77288158144444,38.135073187974015,39.64894869876525,37.313268293438426,38.48028348580924,39.930303083803636,41.40337974737677,42.37965690105066,39.64722036114014,36.96504524145319,34.97091177759681,35.583120034662564,35.08084333150662,34.110282843919784,38.91846094596882,38.577656224598016,42.62803015941761,45.73916217462088,49.489951343148306,50.89827245624348,54.87197921657999,55.75477241255083,54.998152709699404,52.14071988481955,47.74309150197649,47.44836893183898,45.04492238754302,42.92918266389337,44.527033026212386,45.37543514310555,49.02631237325866,46.660133327523546,45.51186939739007,48.01918464207226,45.246388661436896,43.19084805362935,41.58745954824875,41.91330939416039,37.92639288637616,39.493302136240544,35.573428947331315,38.945447072432394,34.60641385504226,35.09501916412346,38.421282326929386,38.08231839559296,41.247855967054576,41.81730870649198,44.8264042073866,46.32153536893946,47.276599443562944,47.57566888930294,51.49811071736582,53.608324700288264,52.030444853874876,55.266405687518954,57.36056712481569,55.19320498448578,51.41209831943399,51.61755265372169,48.903074123459156,51.565592265672564,51.72981671310371,51.24476958886709,51.108132752724025,47.842337645394764,52.818369715414555,54.03639972395616,55.67484182571363,55.6917846248509,52.31768559677589,57.65521393654773,60.57644791304974,57.91816072419659,59.84569571909894,57.73653334897861,62.613361714993374,60.90144049688454,63.61566532668135,63.517772783388416,60.834771901170114,60.84175487739178,58.92052697594655,59.473027548901236,60.037207258805005,55.334175502949485,56.1185228869102,53.407020747500646,51.09619237645348,52.8983145372354,49.91735723278143,47.05402689315864,48.65170382999808,49.44409986292217,44.73569897602208,43.84154755039409,46.587924546995964,45.5284497293206,40.48980374201644,41.823548787003645,42.886670177651794,38.77722975003834,37.24148738331096,40.62923761127952,42.768061573843845,45.42524686949813,49.308454614882045,49.226808084998304,50.76295846161028,56.110561725147676,57.67961646802476,60.99012734795078,60.98206807470469,60.56720671406483,62.79362968011351,60.46505586401738,65.22663964761733,64.57056562096732,59.14256180395081,61.88262349425979,65.94258306324447,62.35499989546095,60.35985845362502,63.92339209083066,64.6584889544547,60.522357987505664,59.54253809345538,55.86052299319781,56.89455653002308,59.174918097148755,56.90336239583656,57.55124415804705,58.28855105912389,55.43211303424172,53.457965877595015,53.59702420445439,52.214174739075844,48.58542588144395,48.44074058252585,47.75592711890837,44.69201086860412,43.679860205385815,47.43913395192415,45.360925131678904,40.881063452884156,44.275572423730225,47.727502277180854,48.84914555481606,52.178728462115934,52.4340621271804,56.685798935243874,54.71961431078262,50.6654737461075,55.13967413094348,56.6973590434323,53.64323722689178,53.804639362749406,59.55211673236393,58.19287450414883,53.95625458067132,57.17617412468081,61.387193350524804,59.25913140288736,55.92558265905347,51.222070343895886,54.841541706685966,50.64403744664306,49.9893668799061,45.17732858734342,44.97772840078685,40.16233211610471,40.87224452321078,43.71813876082462,47.322501533010545,48.143475223025035,48.961063443569536,45.088659282149486,47.786815153941504,43.363072725295915,41.15120869510316,43.29760239232155,43.93255900046929,42.15178651485463,39.159792726503525,38.9870200566879,37.99057935153259,35.19249075952784,33.56710461763932,34.87662748527635,33.0522043931397,30.64663115070022,30.255879809081712,31.22604728902026],[27.110581883569267,29.40824533402203,33.33016463042945,30.890415849396664,36.022040908909375,31.241533268958072,32.613520452491414,33.916510043590435,30.30868688111257,32.19314527817547,31.711353506177158,33.413038474124306,36.685630190379676,33.51226122384102,36.338571782359374,39.330965384895045,39.998950455552205,43.130632702571326,45.59630449571633,49.15707180877034,51.782671379759634,56.3791632257423,56.62108718879286,56.675594828870345,54.81964067418821,50.3175512262991,49.285276603281325,45.27309366072605,44.891871891837106,44.0074354616566,43.34819819164673,44.137311495897976,45.33674386886853,49.06656353218071,49.07768659637294,48.47506630017514,48.83174884129592,50.779635958318416,51.81743272800376,58.04479124851557,56.10330063437216,54.633368311558115,58.99256871950075,59.8052480492249,61.40478376449833,62.21821604752028,65.85657821564588,64.41951529221905,62.25588938056648,66.84332091636948,67.36756057311483,67.39005224538538,67.85400977052896,62.580253706813764,66.14616400092952,68.39198645205737,64.44211928802729,62.37348135441185,66.79850335590068,67.46874831110834,62.28898153708138,61.81940187707858,58.792979027387226,59.8817654301329,59.37025004630892,56.00419604590768,51.523130692017105,48.19530730921351,44.85989752818763,41.24102773002342,40.35047925833257,40.32042399461186,42.5947225068007,47.22365912257988,47.169404261501064,52.71053623148861,53.94514750623839,55.74457009659353,56.54140563041333,59.24839236820598,57.966410167375734,59.38852455935803,57.00669388363034,59.02970533689674,56.69398380079437,53.93336609934794,54.68013175870481,53.96717589163168,52.65361518025475,53.25616949969336,49.99075049421563,50.73732832225853,46.83638708241279,44.70208406470781,40.99823617078926,38.809924885865996,35.70631361638421,39.83133210067276,38.34941556540766,39.25470487700384,43.559432717194994,44.36273178330327,47.57522650100257,47.34614339102985,52.286265008899115,48.41524000881265,51.37538200125788,51.65197429136553,47.72256550371274,46.42499936144437,42.03127156027338,42.38299383612126,37.88129369453492,39.49695714125901,37.72675486302323,38.7734613085553,40.71352456606026,41.99165872255317,43.64549980445493,41.065978443300764,38.179617387158416,35.93464047051008,35.94521640870143,35.15593584675285,33.866288882648604,38.36084816414333,37.631104981445226,41.81255148786484,44.750072077932806,48.82236912382343,49.73394829976796,53.78749767457413,54.85290679937176,54.4466867365286,51.43008682767884,47.12824914387452,46.26961760873526,44.27278778862627,42.35163819808151,44.36105233413786,45.33001948823036,49.34911913480701,47.280649963520794,45.92773447590075,48.66898950887234,46.0601239964341,43.72550758587454,42.154721187993964,42.195967464047754,38.16895823290214,39.47580285236835,35.83224188109054,39.22534914561189,35.00330836564769,36.04173894512373,39.28064977890459,38.9539118643805,41.71644099100266,42.62939763869048,45.03335658305513,46.452364634005065,47.934353388811566,47.832633404533034,51.97714547702455,53.641727332139425,51.70734333028301,54.764223339373864,56.654362463124215,54.18913742203253,50.580546814763146,50.85748229339629,48.463280563283014,51.44245357456877,51.85305105403507,51.68237891031367,51.621451286845506,48.71675439681218,53.72839042213806,54.79153079188892,56.18668409136917,55.93045008931662,52.27530460638192,57.449802354855855,60.31307628531925,57.718150088641515,60.0733897854829,58.27078270155604,62.98117281755105,61.214963556072014,63.67559813268622,63.28062729951255,60.57522962002662,60.1975190349548,58.08269665467329,58.45946593894307,58.72466079919643,53.90912282974936,54.55779864727329,51.56243205927542,49.511428680932625,50.96122851699497,48.202273588943214,45.36940077283798,46.47291076342145,47.21824718908951,42.64459564411657,41.410117265237695,43.948313644540924,43.07241945077747,37.93010619092277,38.9065926938502,39.883154115168765,35.99874018198218,34.164329831438415,37.200982552561136,39.423521732483415,41.99379506640019,45.8594573780855,46.06323679168638,47.531930555312556,52.933914614265895,54.344992946674175,57.84956497912461,58.15356815173502,57.96237584740263,60.42282737753196,58.40134365528301,63.10932021855383,62.13448580015796,56.84005300457868,59.85513813219431,63.68643384707362,59.951347008761076,58.22356530146938,61.95665796440155,62.307466073228824,58.10366255015829,57.626155664584964,53.76941998288531,55.29876261956107,57.47394283397699,55.06618704517321,56.028449210122496,56.70410020061991,54.186063397049836,51.95225619629382,51.80195654815836,50.761053174640104,47.187852217048174,46.563231143696484,45.89565920231849,42.93992092685312,41.58744467955399,45.1321241081707,43.125602827239824,38.552264105965634,41.578089416352256,44.98513249615501,46.06506540077504,49.61098280853789,50.14998164600703,54.26761382181043,51.93843739127121,48.01191716083715,52.67522835938067,53.889922578864926,50.73223737188772,51.19545904470542,56.81838512361153,55.11171151310487,51.023806425174186,54.51797614155024,58.46774781202304,56.09261303314789,52.852736905870586,48.16633436020058,51.535786922319275,47.29913849916278,46.469874884713164,41.86344124311374,41.95124475021451,37.30454509965113,37.82863545446016,40.87478437813774,44.4095215290638,45.56081373278217,46.47263894214879,43.0333210273599,46.05058027222969,41.89948047911517,39.39998263426961,41.949985258505755,42.39725095981759,41.07670618545266,37.8744822218168,37.15246906441249,36.456676634719386,34.13483837877762,31.753103552256412,32.825401479549726,31.498806419401426,29.38229762020671,29.408757016206437,30.654108513766733],[26.987001169647264,28.74321568260336,32.33067277245409,29.065206179370907,34.0909531529644,29.88520728771981,30.91245972559602,32.73729359455899,28.917521712428087,30.160242604757794,29.90033251891215,32.231615877758216,34.75347447444275,31.125464028846654,34.272973433225545,37.351926951905796,37.451142892239424,40.43135848135789,42.37666622839006,46.18382570839524,48.55225660016156,53.18784416785856,53.164704450555654,52.9771594189869,51.33834627973802,46.8374987830979,46.10019616631662,42.227166665135115,42.271845973848684,41.883707429025726,41.32644049409606,42.57850798138212,44.081604504871684,47.54120206220861,47.31940312032624,46.26714605654716,46.8929112282999,48.21391568404046,49.07617852878353,55.38025322339732,52.93808280508278,51.556344586530216,55.99929678822618,56.56468301977693,57.90013419890997,58.53478938953955,62.217758968432264,61.070675075118025,58.84401219701342,63.46368242215076,64.25027447997363,64.46988045461413,65.06916537066523,59.791678154948,63.678781805742965,65.63932331721504,61.52529950603421,59.79827502966635,64.22623253367951,64.50489145975905,59.3277761495988,59.08102589132711,56.28516772325847,57.01546613055717,56.332672070960726,53.180027262157985,48.47600905847773,45.43922504681879,41.75445932680757,38.461207456932215,37.22074565929452,37.149871264006265,39.83465318310264,44.278261761889,44.671195755985025,50.393685558384206,51.529504979119444,53.71172653613339,54.40256665000774,56.92256166162619,55.90772106134993,57.13103209087362,55.134093017543925,56.935202198478684,54.29909426740014,51.699197134628946,52.251201957412924,52.026815623507225,50.34690694363417,51.44991996072307,47.97669977180716,48.82189716892539,45.056258279120556,43.224169982094175,39.384990283810815,37.417722344363995,34.1207580439096,38.69534155445568,37.37954689142643,38.991529783615604,42.62361874808025,43.693406712891246,46.36071301453844,46.27664307210634,50.88341305164049,47.025603958861055,50.218778032656104,50.245336373949925,46.3907183532182,45.2906998770849,40.71127260291906,40.606356497431086,36.05172843481794,37.10633409192012,35.14248909699532,35.72311168037556,37.5702355442237,38.4206877764805,40.03078626914341,37.89675129428601,34.80615399247252,32.80970223997006,32.4888467619614,32.07514681279403,31.250341097634468,35.71505588101093,35.75194780978315,39.72641840580445,42.88807299970611,46.990846591385065,47.72746331567663,51.97350302097217,52.644652076209304,52.50565091314424,49.0555525833018,44.681870799656096,43.69272756258204,41.36350462380279,39.111291226060395,41.1437092056363,41.57909960374009,45.58043606625492,43.740189250879105,42.64256343769717,45.535359193729235,43.301220747450344,40.95517829654727,39.85138630747005,40.24147876628735,36.51232900358631,38.35974765095186,35.11880648460033,39.054918403090625,35.458878509912026,36.10207965655069,38.88612320300474,37.982488238274016,40.72993127091217,41.15591671643271,43.47179546140087,44.24674585858811,45.57229957792915,44.977517198056546,49.25058516789577,50.68880502302179,48.42260879541922,51.73769958228861,53.37481189035643,51.08524398150982,47.38779034652023,47.95401604948135,45.54856956311238,48.79013985839112,49.46751482187165,49.5088571520799,49.8536159620346,46.93806793077852,52.20415611260218,52.80163884926667,54.35083897751892,53.64150397036392,50.3580352538057,55.33393529908989,58.00001837664058,55.20371104054428,57.37435458534479,55.436395167286754,60.002941178851145,57.850303760350826,60.5219698205637,60.132634339815404,57.650746354625625,57.36837948097799,55.434560922933635,56.03825696442211,56.48506298434013,51.73548865681671,52.753134553650064,49.92371602485693,48.14697068048477,49.953671919036694,47.47443367368649,44.31675780727844,45.39938213694168,46.65159407032186,42.09063514305273,40.28731616128017,43.2960636753872,43.05411638431767,37.50413347119064,38.41633049565627,39.91335616410052,36.17513508538466,33.829775627802526,37.096323632673865,38.908188240929064,42.08643932047639,45.08491975436033,45.50228264735366,47.413750881082684,52.75548615102383,54.57993640063809,57.828085117490616,58.28661351067234,57.82649191261111,60.30156612150002,58.12947943640919,62.69260313264078,61.66784244280058,56.117761651390154,59.067432470936126,62.74872983443739,58.85510022208175,56.99122790067622,60.58425305096944,60.796757994023864,56.54016156898553,55.81968020990144,52.32164756058174,54.046879419399886,56.4819402524553,54.48334294541418,55.64079732338778,56.78128338547656,54.10580409169062,51.550349846882455,51.921255823774516,51.12086822730673,47.18575791278683,46.57851612419803,46.460454222229835,43.580026899201,41.8910035955776,45.77439705502506,44.16161131917668,39.44569120663946,42.26192682280624,45.89095960264858,46.554871827797825,50.07302223088871,50.3066504466497,54.38347666002872,52.14513142554715,47.81541192675457,52.32641095550489,53.55077884685418,50.28364436138252,50.33656956012201,56.07231650525471,54.31140241795134,49.90967395523865,53.220238179456594,57.32327554178917,54.84839632961104,51.39909398651216,46.61049512563561,49.854692583826655,45.4614637150601,45.18940286971663,40.36244777594996,40.73614402750829,36.10146821748165,36.09464642695313,39.02144776769571,42.409083089910716,43.51956961616524,44.88650470901625,41.30832656264604,44.423655932443864,40.102994924061875,38.17462247319374,41.157415564210645,42.05908121368105,40.842994057139585,37.12631279129849,36.825484993883826,36.658096181004524,33.72523357180529,31.258453244003885,33.077720163987294,32.13123079343657,30.066681862049265,30.233873119427614,31.582424877551038],[24.680503480311422,26.75171860528654,30.770381071054306,27.923198088303614,33.453709604710276,29.62041397378414,31.294328282282404,33.41166606599333,30.125050015447382,31.862457393451432,32.08739421265675,34.30922455880289,36.78746582644038,33.4608261189915,37.01866757446637,39.898081528220246,39.82975843950437,43.17113811858076,45.199080126322336,48.86115280786975,51.40268935837934,55.940102529829765,56.00533754858777,55.62861790373638,53.80821607324652,49.34354047862297,48.36938188713746,44.43795860354296,44.65257951796716,44.166619971945366,44.279457167053216,45.06252758514872,46.85552514258552,50.532574311810215,50.010477313904445,48.93092345060423,49.161985123208666,50.46943445128701,51.0746455064757,57.281213321770394,54.890720638030906,53.930084491280965,58.393573559661306,58.7503161185992,60.196768110285085,60.615275185508466,64.37128562325427,63.23715106962631,60.69624551126116,65.19402058822995,66.17454970710087,66.22790085991959,67.02569472570218,61.761548765786486,65.84059142562562,67.97160778274268,63.91224503339954,62.315024812894734,66.87530242752578,67.13875480209798,62.09879799003019,62.145656524700335,59.422260043975264,60.33664345718375,59.39379548451517,56.108278445837186,51.642878612927454,48.556992052449495,44.976296504469936,41.75331536263389,40.57236351837075,40.84747156490712,43.474228579254316,47.85727693164015,48.077463612189504,53.96623601837128,54.73715773710591,56.97655270693375,57.37861592852801,59.69720690803957,58.38678276410315,59.29395567279863,57.065846903914654,58.609298060329394,55.95437069686659,53.64852262511811,54.582901059619445,54.41700151848414,53.099779375400075,54.433058911025725,51.157212861993386,52.34045604054809,48.50936933768194,46.49550014054808,42.444941934509664,40.72646373996965,37.19652287207187,41.40077979590081,39.70199793815318,40.90772726818307,44.68037770331158,45.10035806566692,48.012989687360985,47.32541815528657,51.73071981649874,47.561567073563126,50.424788458703645,50.170732014046536,46.08580177474115,45.318389840115685,40.70120958875439,41.12563379207036,36.779128672608174,38.02315117308973,36.684555677467735,37.23094983864704,39.54581023898727,40.28111631069127,42.52901666783338,40.473295323792115,37.28539496686635,35.03451496720871,34.20411538983166,33.43853383122385,32.221208519801046,36.29136050018137,35.79403786723456,39.88306895174269,42.791545105296855,47.17489917776278,47.43125907406408,51.693761268606906,52.61459063352666,52.78098697771835,49.27541598268282,45.05243797024607,43.51577924553112,41.69149185974968,39.727025472540774,42.14889366257577,42.80212976867364,47.12968322350003,45.55677775198248,44.221252293756024,47.278117687699535,45.15232953841024,42.568239065370996,41.41539130030151,41.457848366673986,37.68427318654851,39.15004975671906,36.144580439879164,39.93481721638745,36.37836417581958,37.585436774684176,40.34624627900923,39.58552530584113,41.926067350001006,42.766637557609904,44.50152929919156,45.31875323475096,47.169023938281626,46.290635933216805,50.71352376061796,51.746748248212306,49.20625901806394,52.265251564088956,53.72885353742157,51.11852188737537,47.64441104237851,48.227696313815066,46.17277522560919,49.652532643247966,50.515846836553116,50.820296615176304,51.15485831778346,48.60896080319513,53.812291092286614,54.353363093827326,55.62756577912767,54.75032156509071,51.14849897017989,55.96445885470037,58.59314084385407,55.9142369486793,58.52637710001624,56.924579097245804,61.32774529757951,59.21299965233653,61.57753917344307,60.89543863357407,58.362835068923296,57.680104516270546,55.529013157200254,55.90991718182435,56.01704499394261,51.16980382645916,51.977925875192014,48.84367554300113,47.30523580888159,48.67571980372311,46.40072785992343,43.35337533821623,43.910614226289965,45.02723853877836,40.646156444894984,38.57696534511424,41.26832786647859,41.136633611683266,35.58769818911586,36.104862372209716,37.42707860836433,33.95817139994427,31.366231926927824,34.17424934303117,36.11415335751124,39.09965587991757,42.16950772327742,42.87430321227931,44.64267761590629,50.02423977569071,51.61224656854294,55.09306176340221,55.85716232665327,55.67290659977908,58.37704913490481,56.55491824481016,61.06470271455575,59.72471766532404,54.37778418663278,57.608797088825284,61.06176944026122,57.05569781580487,55.50201676560606,59.2758108294123,59.10853087033518,54.807447970776614,54.657262106927135,50.93807786529353,53.136300313323524,55.40471777815839,53.211528828190666,54.64965215601935,55.644160635887026,53.34997985662365,50.605895813598146,50.59486910421336,50.10634806577479,46.31925262901107,45.22784923192077,45.043088559770624,42.28916687305985,40.31994318282685,43.89299318393955,42.31154189184001,37.572298049984475,39.99793346868326,43.51590491969728,44.18890953708726,47.913063385029716,48.48524493376966,52.403542907643676,49.78523813598008,45.675488677493064,50.380695740964896,51.234401253999316,47.8897908157195,48.324706724356744,53.88257551256094,51.76478654886223,47.58744409430076,51.205955827391556,54.98939566653751,52.27181555049181,48.96629545612876,44.23088750454044,47.20202853211533,42.80019128489066,42.25893136994566,37.71298507243574,38.375954844642564,33.969591289063345,33.815151436668,36.96384792454016,40.26991075747325,41.747773358731486,43.14377498362796,40.084081945929164,43.49667852167844,39.53398108137466,37.2330249358311,40.53208951862719,41.158829868882876,40.404705026626345,36.608187768732726,35.67884627868848,35.74396781003116,33.43653286299528,30.24774253677731,31.68028097465286,31.209693223956318,29.46514156477523,30.015294852887532,31.575276385727474],[21.04173362112018,23.261532618945836,27.367106448137182,24.9107880061435,30.465058159267556,26.35381239003458,28.271362313794892,30.232348018091805,27.198184638767362,29.369517764226767,29.71773317602162,31.66036572474525,34.36670377182333,31.406889884896064,35.0293578470097,37.74241880406441,37.8497262599683,41.45493878802583,43.84337674484033,47.254605292714274,50.058831863839366,54.50648114007792,54.81407874118278,54.52349270588811,52.43514363724115,47.99454446080019,46.69818536535362,42.65724075478281,42.696841936564944,41.9193581168847,42.370965754794824,42.69746088186661,44.56529428515305,48.454056880883506,47.81991679650715,46.91005932865772,46.81522206317319,48.41111066550567,49.00139299485296,55.116187913853956,53.063697606438964,52.22484335518555,56.63680903242057,57.064413501693096,58.756805621314406,59.23250608297138,62.980801180390465,61.62233081899291,59.009594331177695,63.442683327200236,64.29592223498658,64.16004660672961,64.94421513879169,59.691701184113484,63.6649767638879,66.02870095863742,62.09936952772722,60.37149338276631,64.99444369450468,65.47792720057143,60.51694300526915,60.61640599476614,57.82014284015944,59.06781584200549,58.04410949328147,54.54749000374814,50.382228017187465,47.09499495020478,43.806629301787865,40.44877675568022,39.525698374324,40.12251941050164,42.437525003826075,46.86449984698916,46.69487519227668,52.6191958638726,53.14840650564273,55.255485920224544,55.4992265695402,57.773285697869106,56.17933451109997,57.02093667041147,54.521649477248936,56.06214013686308,53.55221516292715,51.28070029552113,52.481707316262515,52.121805812116364,51.16670025296822,52.43250148454743,49.381343764312206,50.78834537335153,46.86559099011551,44.61927118147638,40.47002117847524,38.882382847475135,35.2526035420272,39.059623511362986,37.099537860549205,37.943367348508275,41.90851280792709,41.97313528082177,45.128513770206375,44.18184396755605,48.64374045266655,44.403338309085036,47.11402143010252,46.92748135518585,42.79282608140517,41.97715093211169,37.433246952647096,38.14181746480754,33.87231476472507,35.445988738725184,34.39441726950276,35.218745019912056,37.74685585961423,38.7564728304652,41.3010816826862,38.962314597094846,35.87655499196901,33.3436023258438,32.56389584324324,31.42170561706931,29.80818710601915,33.809102209944804,32.800122377734525,37.00581465147154,39.76847163756222,44.15883536946516,44.47378144403218,48.630436245690596,49.77889872464194,49.826710794626635,46.55919310529245,42.39968516965538,40.91648648988094,39.34742350024568,37.66487551129904,40.11975183331778,41.25252926206473,45.660478384456674,43.97892782955077,42.37525987482322,45.37114271283962,43.0455180202846,40.391698057247865,38.96464832434708,38.72523855816836,34.817369607684725,35.96384327903936,32.9156126294572,36.52265192960639,32.9048186064286,34.3838606921994,37.194357363730035,36.63319255152609,38.81606527219505,39.96795693214741,41.536835393885084,42.66074712161344,44.746062527746545,44.06910669889676,48.44572917011506,49.520194394574055,47.177685587088455,50.00703676977044,51.65048444774646,48.89560573444189,45.5012113089402,45.864690163059166,43.85484990007276,47.19499819109322,47.94043632092763,48.20286546743012,48.34524504769488,45.93637219012209,51.00741447161001,51.719752378210735,52.83539282723457,52.13146656288563,48.271226266602945,53.1508681257283,55.87837288416634,53.338369878694756,56.14786108098935,54.72262673673831,59.17144639815504,57.33906175014512,59.477635343371546,58.7436220420398,56.048164975935954,55.25647313730221,52.97152377067209,53.197887114543285,53.19482199152022,48.312047620291125,48.91631846248924,45.71626550391674,44.02037475528999,45.259364106356024,42.85350794079624,39.93063567988609,40.54663819365955,41.46902059315374,37.05534541701079,35.2693826307915,37.81706488650042,37.43147621592929,32.0101371976582,32.65194435537926,33.837237242601965,30.241067817494613,27.884957003990394,30.79252697405368,32.85353917932935,35.68921684452693,39.1118627139193,39.57853339309331,41.224946817084366,46.62268273168098,48.17833764848101,51.64581280787569,52.24991834088898,52.07606740857069,54.72841798128937,52.89765703388136,57.467954462844865,56.20208373499422,50.91132256103387,54.126811830208624,57.68372119431915,53.772515675018894,52.22312102119261,56.04303706427826,56.01902803904126,51.75567657988986,51.63611325885288,47.74930794064926,49.803609193343966,51.96860310705915,49.62847528288597,50.987891393592776,51.853648220401666,49.602203597098836,46.94648915960039,46.797992851215675,46.24873543528152,42.54494630563504,41.45375547272597,41.148901777553895,38.37553715374648,36.48369742161605,40.026131376392115,38.37874212690822,33.65399474152693,36.18571307313546,39.69740166664028,40.45109936563623,44.138499996114426,44.72567177593977,48.687136065611405,46.12821045151737,42.08267171301236,46.80484193875508,47.74973150053606,44.46805170694429,44.97164070602741,50.53422803949106,48.563647309364384,44.45821727881676,48.07951014918866,51.89028999081099,49.327588708389925,46.08393513466557,41.38767329845383,44.587745602145596,40.306490813675914,39.51620605047455,34.9556752204376,35.305882047632934,30.805804647147202,31.044397565510035,34.18987590999487,37.636955471204345,39.011604929313904,40.10223161675107,37.02139582079866,40.34815782175933,36.46253341988014,33.88366675401837,37.006217311703104,37.473375666660885,36.71861530573688,33.07284227116641,31.985907866920613,31.91647485628205,29.821392311700347,26.604290566738182,27.83657085385979,27.314228696703218,25.6171943757169,26.245818808995146,27.89354930229527],[22.580548666619542,24.44502449168401,28.044198406287766,25.213639782834843,30.1952834155475,25.54543401975438,26.7992288158162,28.375374913492216,24.776958769409166,26.579428885068648,26.425297741825126,28.39879130469874,31.284680307793106,28.106660033447742,31.33588831282783,34.227993522692074,34.595378514181924,37.937847349643384,40.39706370779052,43.8801957581068,46.612920438864236,51.14412562525026,51.45158300958523,51.39156940977105,49.390303690328416,44.9057301456463,43.73482253354014,39.69631357388264,39.48313976842007,38.692028187739126,38.54655374201349,39.20427826007544,40.79433985148367,44.55456989364919,44.20164570732339,43.38521164816682,43.59353133913035,45.32325678383791,46.19034017534312,52.39778858746354,50.40527345512626,49.15735459039079,53.54283691710866,54.21889956243074,55.88498816340263,56.608964445753756,60.28537326516555,58.83086344075888,56.520685645014254,61.06796606057193,61.67616355873131,61.65110437569732,62.21992031949647,56.945359467387355,60.68633408668227,62.958079191340836,59.00649885744352,57.08826913219706,61.606530940797896,62.186337780074275,57.09800555560716,56.90466561653182,53.99635428353937,55.178869887631734,54.39776574104635,50.950062202151294,46.63390359596792,43.304286549478164,40.00796211965205,36.49840665923842,35.61760423156356,35.98747119427656,38.239434574037766,42.77127739493546,42.62344820520498,48.411849059636005,49.236552805408635,51.238159546950286,51.7315787826493,54.21390970100203,52.82432285859888,53.98680712237747,51.630269745755285,53.454694026534035,51.01006714484883,48.422395399623035,49.31205622257091,48.812021550256034,47.600633526828034,48.59578181820236,45.40570211987695,46.544441195612286,42.63449815066855,40.473734092315254,36.48406847831436,34.66380802442534,31.211653921457536,35.29705963366268,33.63890720067794,34.80090697839888,38.72068328800436,39.379178300251276,42.37299093101225,42.000988194765156,46.726784794365784,42.7936553352571,45.8301675927278,45.976016055115814,42.07413332454146,40.86716239680711,36.37613663792364,36.58528177024572,32.082451241587,33.57083171904453,31.9178641227656,32.89353079960609,35.00686772922756,36.25165986554875,38.236765116580905,35.6891191552616,32.730949112188576,30.340441014316806,30.134867772758085,29.22797901046882,27.89373276560492,32.34290227302115,31.760330420771453,35.890258469896914,38.89728927546506,42.988658597598906,43.85609790785792,47.9678791801978,48.916121080021796,48.590519914973996,45.45400403455862,41.139229278640435,40.27448918453679,38.22797328831738,36.31781777470271,38.3668906124608,39.43677338016504,43.53775930595537,41.524327328811204,40.07308268988779,42.87996520063929,40.35421010984811,37.920642208560615,36.43531722668353,36.47724582356696,32.541833383865715,34.013679287699816,30.652658469101343,34.38527772870098,30.66495048571182,31.60757934386278,34.49377807932362,33.845339430576324,36.44873166555416,37.25901710790751,39.43013037706707,40.62320268137549,42.22329997421275,41.928094418844914,46.14189769846042,47.673010414002704,45.688368173595975,48.724173277458114,50.61575798569713,48.15622646262568,44.53982720631686,44.81448263094825,42.43242426986971,45.474799088038814,45.97846181156247,45.93819477875068,46.02363488621445,43.245439974640846,48.359320781192444,49.19943890476719,50.56172453080422,50.101812365425175,46.489983027547076,51.58011263041541,54.38722821669906,51.759646009378685,54.16546089372157,52.43380359115275,57.08453271499332,55.3077001408672,57.700918896051114,57.26171945171649,54.560154684985534,54.16335608155234,52.06661859222608,52.48585511272673,52.81736813134003,48.02738435018569,48.79929720628928,45.91446824428639,43.906072935358836,45.59240037823909,42.919874965655964,39.9092343324231,41.133476556797774,42.15215083515652,37.531277726809506,36.12923226933275,38.991120058738645,38.41304139016622,33.04220836695296,34.16641474598346,35.51118639990345,31.592578022140305,29.593916163916912,33.03154462028714,34.961859044372616,37.961096873841555,41.37136744958068,41.45839117470625,43.22795996358675,48.565927783410096,50.369766038817055,53.56793031769514,53.79453909365345,53.32047920130512,55.70183475348745,53.484900670953245,58.12827119512359,57.23126290935637,51.73724354861368,54.63704601428743,58.4715892521957,54.71306478131098,52.82716523740365,56.459523171736826,56.89028380652258,52.69052900240918,51.95598920974323,48.26503121680789,49.755692871045675,52.07229439239232,49.90384227176719,50.927906210970214,51.91751965080257,49.252237334041496,46.833661105925,47.0706944148516,46.15300648015338,42.30662584040823,41.76505433434649,41.49985710345731,38.577993477069,37.033359523761995,40.914037170474955,39.21442321926585,34.53560919791621,37.53653979842484,41.15814368106014,41.92191749887852,45.35711178071353,45.5674958501559,49.711413682480206,47.59679593329851,43.33349934383039,47.8338438304989,49.21204593323436,46.04141286198761,46.13841059826722,51.887378391375044,50.35088304454215,46.02735442861499,49.30433285261579,53.46475681347248,51.21300727858768,47.8344225854536,43.10137227384023,46.64810254964668,42.41862088279097,41.86591737070381,37.00832897759578,36.95983896731859,32.198502567994794,32.699429993994016,35.5840236282578,39.14765607867182,40.08688395427008,41.062146461563565,37.39903422073781,40.36831379879028,36.100968167087,33.85623566757135,36.56543663204005,37.29820814020235,36.01052576206151,32.49714276257684,32.092085861923294,31.707704286476034,28.93714289708601,26.563715864266772,28.195973854230843,27.082517732143923,24.99699648530587,25.18535615001664,26.622393538011412],[24.436387200001587,26.589683111974068,30.18530618764812,27.96014067760874,32.65051578546208,27.32739753141186,28.49787077874851,29.33958239092309,25.687973056737928,27.790674110261865,27.10497939399944,28.469482884589997,32.1077816324034,29.246317563219836,31.84906814789713,34.74537393673886,35.77336803507358,39.008758631531784,41.896159158054346,45.20000634950886,48.055713206311836,52.57753043305284,53.08197109421426,53.3563005131303,51.27038201557519,46.796761777427065,45.49622484398602,41.39854013995997,40.677571220969604,39.46932918619916,38.82040994458034,39.29840402736799,40.40306127537474,44.28098661720356,44.33535206727794,43.97923519115261,44.15947121747383,46.49143667222305,47.67159152759099,53.82126942926241,52.28233392015915,50.714833086086955,54.98292893734482,56.00707611434803,57.844655499095225,58.85173138860668,62.42626962962946,60.70366577028007,58.64443239432314,63.20438099366714,63.45909433198372,63.343647621924795,63.67210832862435,58.419516503305516,61.73035290533799,64.16219426757876,60.3508887875324,58.04445348252437,62.46496623152637,63.41874889644665,58.27295379349675,57.70098787477637,54.54464483261781,55.95690161244553,55.49057003459669,51.93510080974133,47.71842214997619,44.161060276261516,41.16541701726428,37.33135222638242,36.763609439755754,36.966279196359174,38.83356345237734,43.546027218433736,43.067155560254925,48.55342436998788,49.678128649744956,51.269256672668,52.02916491807013,54.79600455039875,53.32982189505866,54.86222422754072,52.285105307381315,54.46450076490524,52.330224757674316,49.432098112659986,50.27726912265048,49.27625366793582,48.211136612537864,48.58200741243721,45.49379154468001,46.335846356316836,42.34969811401195,40.00897242493927,36.30376557657526,34.12551071874453,31.03697749546426,34.86148949743896,33.284447612791155,33.976769332294474,38.45986466693437,39.2499958546026,42.61140376796183,42.46736757983559,47.60464228231086,43.87540253879386,46.861426899622735,47.41171635877882,43.60796027499036,42.02374903665213,37.78286946535558,38.113405147894284,33.598674268725055,35.49398408294949,33.67700096208407,35.10432812045174,36.997175410221054,38.693284312987586,40.32086269385062,37.33538677571204,34.66972243524186,32.233747647643575,32.65095670051348,31.618035452778848,30.103060693403886,34.729522876986366,33.74035744303635,37.939562747915005,40.84511317973848,44.70131200218543,46.00471816506575,49.89188114252137,51.05646205437689,50.30615795561019,47.6340517446998,43.34141489845196,42.92086336009406,40.9186273247125,39.173467917137216,40.95187903037006,42.37131084624892,46.260050607806214,43.902599998802124,42.368250734949235,44.90697904571538,41.99005521939158,39.73543828239751,37.8463516653988,37.75856463846652,33.6084222383218,34.760408939186846,30.888057378742,34.12442419955223,29.775711982642115,30.750031299028425,34.09166835225776,33.941043280157736,36.78891921931092,37.81828972651002,40.410062583698476,42.1895768471167,43.6118375785014,43.957170203001425,47.92316719556765,49.890267133223425,48.385899888665335,51.30469958534081,53.51080514395449,51.09039628907391,47.46162655829023,47.45976377673394,44.9116693178059,47.54252087315887,47.68134353335043,47.28452907045417,46.98603176843646,44.0174163277568,48.88890813807275,50.20484050362218,51.574502942020246,51.64750758213822,47.8960609505722,53.232130766008595,56.22835491016814,53.737255037396174,56.04518785039993,54.25665652698772,59.11040979736669,57.677634541370224,60.03851289097822,59.76282341685575,56.899435983431665,56.64625627455163,54.51998754315287,54.85387619389887,55.2094416842371,50.44834747486735,50.993115968138426,48.15028151917629,45.76699531078666,47.35619798336065,44.3236285376729,41.58502661895949,43.11970125395564,43.7319740479234,39.039888555440186,38.34250926095271,40.912459397656846,39.68170205257462,34.75855322160556,36.1514488476362,37.09373345584401,32.93195485488232,31.585819890998554,35.010772228403944,37.223774790934364,39.74195794990331,43.868480488980104,43.606758817367506,45.03603025372129,50.369642413830476,51.9180522079935,55.199613760404965,55.11131400111744,54.728365526899815,56.95155929155014,54.68127016471963,59.46771754178495,58.80318356988836,53.45882008514076,56.24024919286227,60.32460524834035,56.7958519310458,54.87035488547115,58.50657933367465,59.2766093116891,55.174124731108286,54.34772557321283,50.47738920958542,51.504717525383995,53.659777461276484,51.234786872577196,51.90415859238349,52.53741324829694,49.80736844093336,47.82118716546004,47.79048165133447,46.462543184914814,42.898306446184925,42.6360215853354,41.88845979961778,38.83986759373907,37.803568965619284,41.513713102358395,39.434700218721765,34.94828151636405,38.35486905045335,41.803344969857754,42.94464329072671,46.26017929080021,46.5559462780578,50.8049034170917,48.839903513487286,44.85457963603283,49.35183558181272,50.92430481821497,47.91958055888048,48.17826469465089,53.88546768162697,52.6070190465748,48.47390815899209,51.72458124111254,55.89684994255474,53.880358308392495,50.63419285624727,46.00004414550101,49.77466387729024,45.713763370339166,44.81736981358581,40.05622350272022,39.601927366993436,34.76886819322529,35.81673191682142,38.65682087316372,42.353487299741445,43.125905864637524,43.66340649947919,39.882700105420646,42.55871895393122,38.29676760440492,35.75866590154356,37.82962672180793,38.279609780966084,36.6212130288225,33.704667634257035,33.27532826217117,32.23403106467677,29.720444037968107,27.922563824549908,29.023046876809413,27.245295055520238,24.923630372227166,24.706747567353858,25.859985036192555],[28.112130442776824,29.79903203928188,32.982636650354245,29.978716957131045,34.31492761179448,29.23164676194182,29.723359406933405,30.689822891620235,26.49981156840813,27.707250991988396,26.6888143444463,28.543225881877724,31.737687012184125,28.28441848230605,30.632076471396186,33.797823602157976,34.628079586309696,37.36744505286694,39.79085076941295,43.42294621063266,45.9014330776621,50.550390896646256,50.75845801883955,51.037937990785416,49.315295982521235,44.81513333526368,43.978194588882545,40.05029422466806,39.46576339756427,38.69171008596003,37.377629244110636,38.660611614636316,39.61293066712836,43.08013781372341,43.34139695287718,42.73682208791569,43.50093283493019,45.42780177361936,46.72990116648885,53.01050659636254,51.06199319226533,49.16245406678976,53.46491740994648,54.504948479015,56.0291783739239,57.09141588853907,60.62814468602108,59.1278515436931,57.30801787936391,61.99173526448538,62.27890021495663,62.459759134399626,62.7059635213979,57.44721922446277,60.79539081202691,62.86558941333484,58.887882201592404,56.693846246389946,60.97710543464083,61.672217078436006,56.38964558487254,55.65337433536551,52.572806610788774,53.52426802918549,53.23807121745521,49.98340924394859,45.34410011475669,42.049089153272455,38.68898102618895,34.99758944732289,34.11729909713021,33.839659078589804,36.067496517643896,40.73667856453185,40.77658904774673,46.172020356601195,47.68330037367365,49.44566016732223,50.47697630283519,53.344916817008176,52.36237209566714,54.07971067903294,51.97838495941678,54.24572248292201,51.932625687937104,48.880892845786654,49.223253256289574,48.48157383357076,46.80300595391991,47.226168996143535,43.783017144176355,44.26276080352814,40.43704965663885,38.49627721186751,34.97829246389943,32.60929289434012,29.712938502202796,34.22877081670116,33.18352931280676,34.68451254946644,38.63471450526747,40.20079367948076,43.00265303907199,43.48274255198423,48.554801601172024,45.09288403902049,48.45593628748848,49.035315479890976,45.44850147893889,43.78228056145293,39.46983071424182,39.11663303880663,34.43656911863708,35.77713071488756,33.313392982325375,34.41921242571695,35.81602563365893,37.27832664931641,38.25499120784969,35.538463477798885,32.83261250452409,30.849110172689755,31.485276747005308,31.051730689932448,30.214957792787615,35.0840239294574,35.03477826373141,38.98225207565278,42.199991675615436,45.874214620678195,47.362336817837225,51.364015150501494,52.0851822352206,51.319897294684594,48.38499689771997,43.951132728191496,43.78996761278742,41.21341661334032,39.013029106546064,40.51758265655598,41.325147468240765,44.92266683254735,42.53090357211486,41.411282792790914,43.915571379487304,41.187121086107,39.14572809500316,37.639563709803376,38.09150264815834,34.20276265904409,36.010257702024454,32.22285909407972,35.86189771146574,31.85758947518832,32.09227201007461,35.18353317724148,34.57195802096424,37.761459813335044,38.11369038181001,41.14479795673423,42.449216916328105,43.31175263074084,43.54506315506573,47.46791445505294,49.592204063499004,48.03814344441737,51.337942656915295,53.45293664550438,51.38860255448166,47.55364134338004,47.77328439412103,44.98219215783463,47.627007564555136,47.81301432500268,47.3486521718321,47.32983929041252,44.03741571966475,49.108916680329,50.17549623403651,51.87768697629227,51.7871239365996,48.554512240211785,53.859669243009506,56.737395511693165,54.02055772126623,55.84778934387864,53.686378833803445,58.55559181232934,56.80183727288389,59.56548053238908,59.51361753579086,56.868494663594404,56.970535109328296,55.13187269852762,55.77919516764535,56.47613738884116,51.83248639494069,52.76190431391706,50.209351995259624,47.89731889205634,49.95563296421249,47.01054794765159,44.009721024322914,45.78939507320735,46.80078535739946,42.05094428602756,41.08727530400939,44.10238280518084,43.239764605937964,38.07626423071444,39.561354107702115,40.895635985798464,36.75110070259894,35.15086420823898,38.836920989273196,40.74677502454321,43.70722411237515,47.23734754045937,47.05370004025592,48.81351530287342,54.09275755763813,55.96214972726102,59.01847511162653,58.919529902876654,58.26871262481227,60.3976843213109,57.87705292743769,62.589629785869356,62.0427786740473,56.45229219666675,59.05172960039582,63.139859688584714,59.56031081649117,57.403727174396806,60.84706030729174,61.69708406666063,57.58307717262418,56.31500414827462,52.818434197079895,53.73295020406282,56.14476664266677,54.09438103725608,54.727196988096885,55.71272964119592,52.67975494755001,50.625457440822956,51.11304064842392,49.752448304241895,45.91816060615852,45.935992519695425,45.53898581949263,42.484780321940555,41.407984459317255,45.43147998871675,43.55832114878305,39.03527667214931,42.464363846617545,46.06004490989942,46.965843459067294,50.176424968606135,50.15023846207916,54.43191423416635,52.678958421485056,48.374701750284814,52.68591783120414,54.408227489150285,51.364888220319386,51.208241414952425,57.05077200491516,55.859729393964464,51.43756667253669,54.44316053321128,58.83595001090693,56.82514036527968,53.380414073598104,48.65343752266423,52.39776530813488,48.21377619075358,47.81272595519162,42.81686000489904,42.50927663415705,37.6206569143288,38.30109161841619,40.97961911901768,44.580780980864766,45.19653847517963,46.07448684759055,41.97112339656544,44.561578902039166,39.99660545306644,38.07735918048365,40.25106189010941,41.14684522639722,39.284273047646145,36.11755650487452,36.31649129404727,35.48021008081854,32.2399842579647,30.82692264498728,32.57914774676085,30.794685409103803,28.344654483577735,27.95000256221193,28.960690309525397],[27.844153538768367,29.707128289342098,32.76178294045715,30.4977392295927,34.44069991357853,28.651508391153488,29.12300510764997,29.259618193724837,25.21309903065784,26.94236291179614,25.495258401498877,26.520931447007406,30.568307893088363,27.74404839478278,29.489005061044118,32.491966532107234,34.08325504526094,36.894823234778,39.983786774272964,43.21213667288564,45.995709143488185,50.528416074316354,51.110994328308934,51.758812525471264,49.7568380369213,45.32200961877054,44.119339605149705,40.09060755837602,38.90112290963001,37.52018456771958,35.991443590093354,36.74420864917257,37.276376040516816,40.998036519639406,41.560177064509865,41.52587292365501,42.01657522837513,44.71120638659913,46.2877082028965,52.407735143085226,51.13907279476237,49.04999187857284,53.17851036016964,54.586057348235315,56.44359389815293,57.7990748200292,61.21887826140261,59.312236189718035,57.68001821037278,62.30313222543282,62.17149821739628,62.1310958000627,62.144496805174185,56.93684179541876,59.79681169888221,62.17635236902109,58.44148695895497,55.80128878764659,60.02489249022849,61.22801414737901,55.97953249760923,54.94311598943343,51.59244581219309,53.02315506993696,52.95799867603173,49.45209981873819,45.184592816726564,41.53843913870492,38.73718836387368,34.672927545117275,34.322073792464586,34.18421309778451,35.741568933614815,40.565549835173044,39.95840186362234,45.06484555394466,46.641241387933604,47.90568040781993,49.05252906488823,52.13697766055151,50.872768296006754,52.88135373007698,50.39415152640605,52.983890772413524,51.074567099476845,47.76980353217254,48.25924723956198,46.90694766890498,45.64821749607502,45.43110540073287,42.28019751112901,42.664929833764184,38.71181083434767,36.41789342723927,33.120347653974235,30.527274658497937,27.937640050768564,31.846072407278854,30.70858740762455,31.517651562938248,36.09966376055116,37.583114274845755,40.85467803731666,41.412990194805005,46.87956970922569,43.61162454465309,46.835881371329634,47.84534591646242,44.373678917138676,42.31786095137552,38.3315237368833,38.220280825489716,33.624957523079885,35.53007790090171,33.1211498914084,34.83270151677042,36.16021664075004,38.22610616919189,39.102176036038124,35.79168539918212,33.477461809490514,31.26058766255504,32.49828207410335,31.683230639319127,30.430714041877874,35.35540373155141,34.64455614813502,38.66350209697632,41.680848529831444,45.08298279428366,47.03153375831555,50.7284751517379,51.76472649699346,50.52017578965928,48.18940972183656,43.84792390730251,44.16162941808962,41.79022131617291,39.943382111628225,41.19789647267902,42.65604276890403,46.085445337415784,43.3228905998586,41.93971429659243,44.125594013814386,40.912721700972654,39.012214446319966,36.94958955851823,37.09562581112551,32.9659741506282,34.27480170743584,30.009775203354433,33.04055795295415,28.469182942305352,28.808379423902956,32.33173316361476,32.31842452743919,35.63542260413933,36.36956653506358,39.69296831680216,41.73321750975207,42.5644585245303,43.54191595275884,47.167356168771605,49.71613233825243,48.75886231802702,51.77670801405604,54.29299649247953,52.19234214257242,48.419029578242316,48.237456758287905,45.33446039520995,47.47527349229815,47.23576950312548,46.404657856382485,45.8981432765771,42.528662856344766,47.25130265869526,48.87555947197481,50.47713497760446,51.00482732737195,47.50792229007697,53.054245167171274,56.155851317802984,53.66756356948745,55.514551539696,53.42830911220055,58.49261758920371,57.2670265085601,59.82995595192258,59.89967897242306,57.006965987517724,57.18204552190055,55.24920253341789,55.72665584659716,56.39344215922071,51.795073697368096,52.406128730903,49.905388352113405,47.158380239160394,49.09016347660509,45.75383963001683,43.084784932792026,45.226689916278,45.78366275251821,40.98798782155197,40.85388571359045,43.5475036364679,41.982205980488835,37.35863584010784,39.18951139428224,40.129536838215174,35.74154811816172,34.89637455566216,38.64839421476589,40.78753907291566,43.26665824078705,47.512964234551475,46.85067308129308,48.26600002918287,53.47983315460031,55.146992242069466,58.18736197780199,57.67561235959999,57.05859895499053,58.96310649912094,56.35164853106655,61.196461350982226,60.947656179098786,55.530781048944576,57.95518412735204,62.32721943519116,59.04535961493848,56.82965136479811,60.25694283590461,61.534852694243675,57.56285890637875,56.173553566442706,52.47091243065148,52.82202488823875,55.031069688998,52.71193458561206,52.940631924961615,53.558203081545344,50.45611713083999,48.87878572379324,49.11582919488865,47.32655198837799,43.79821301803691,44.147241281609304,43.29264829529595,40.13780765259245,39.61285644235041,43.483952955252846,41.285768737150704,37.021576691231076,40.87065212083408,44.28894162954607,45.52933510691018,48.52938345180155,48.51048912681929,52.8902647704479,51.39345733567301,47.3639758573105,51.59577085029322,53.586098499897304,50.76637866359848,50.720531982610055,56.50379955091181,55.69076554841017,51.476909755752686,54.38624932689535,58.81779661982042,57.15441795453096,53.86666913083592,49.28453311116953,53.36437281288973,49.433066258652126,48.64296353396234,43.73363630866348,42.862487474522275,37.90133316136838,39.27621416362595,41.84459770162214,45.60943667686306,45.96684297164449,46.26911992254199,42.03217292309808,44.24455348164023,39.747105777115145,37.47858500376555,38.90193572773829,39.487434702289285,37.24570977139801,34.762857504743494,34.959541689092866,33.44982902458112,30.499826329261467,29.752718790040177,30.98171851960111,28.536522969769685,25.896315002671436,25.11140886260198,25.84429994945054],[33.452064850297404,35.00665787840272,37.716831162252966,34.92760284424688,38.44868113780986,32.81378746949384,32.613659250612216,32.636369716531405,28.160822225909097,28.9858585157172,26.99585816183981,28.249184894739564,31.98851893772809,28.73764015679787,29.78793402559846,33.018420440048,34.66649707945736,36.7565184023724,39.44184472361241,42.91067045790849,45.2559510687588,49.873504310219616,50.19280216014411,51.011162681926024,49.42680190631218,45.03211383518299,44.332404412256366,40.54855453387587,39.29509280240046,38.250253515170314,35.67780980399578,37.30498564495883,37.36605170232356,40.56292709793434,41.604766961792905,41.517843653281126,42.687646690306565,45.157911116606904,47.00457214088084,53.16672250960753,51.652028127164684,49.04757711916971,53.10643911481352,54.6881065017632,56.23809420254754,57.778918622951785,61.074031735769914,59.31968981080155,58.10146211354555,62.828912141457295,62.57375846891991,62.83503003062073,62.6398512363065,57.48358551049798,60.150278989440125,62.1595453407445,58.33093958993709,55.653173053001346,59.61926508536974,60.69483894202071,55.300216366271705,53.867503980215844,50.50854456331028,51.478513690052495,51.81499903158753,48.66325916600779,43.990158992141225,40.60351315263083,37.576955361113534,33.600120801262335,33.049965900909754,32.19791769145393,33.93876182720439,38.717171642250705,38.584774626295,43.30441590765238,45.53090642209302,46.75384923728209,48.38057212697355,51.70914677380731,51.00612832240936,53.40148087489767,51.395943987595864,54.225112052462556,52.277939831799465,48.69322415914677,48.561799789784324,47.28018889131996,45.37588473689388,44.877692410458494,41.3896342056955,41.120619753927976,37.397267355664624,35.55977709426216,32.7631779493527,29.775201862622676,27.76051744645541,32.25234193063375,31.8514346895143,33.35486696362847,37.464980499999626,39.8760766392746,42.614644555031745,43.96730820060074,49.45288975789566,46.60102044281279,50.162447907266035,51.33967798131478,48.160118608226114,45.91765376630108,42.002027818977034,41.23754249096043,36.558288588639996,37.98956178213994,34.88133027305653,36.38124655673369,37.03131053579173,38.983228531167235,38.92536135472252,35.7943226539983,33.643199268884885,31.995351489476032,33.70706338168044,33.510173877375074,32.935807640195506,38.053118885238156,38.1668998088673,41.89240763199316,45.14889752574203,48.24146218532721,50.5077877908913,54.211300349148644,54.85672240436537,53.452691755293145,51.0406361551514,46.61084120829735,47.33461269105497,44.42160296474098,42.1860049367041,43.03358958670673,43.93983422908219,46.907599638404264,44.00345875309289,43.075277032075135,45.06852613878885,41.95224840972091,40.40847899015712,38.643848974095754,39.32734749172364,35.49086430934521,37.33981961919864,33.08065040673137,36.25254351357428,31.929915864966116,31.45612099504717,34.79264017698043,34.48784606710802,38.206077158812136,38.26448060643183,42.187556976701245,43.91380379551067,44.034387810385375,45.145252625010954,48.564004717812296,51.43651368151977,50.62585724324785,53.976817544825806,56.48785775699953,54.79608041186313,50.83892552454017,50.795258141957376,47.61001147164669,49.5820233000018,49.250403719980135,48.20479649676307,47.85042045917855,44.082665869501795,48.84479396394081,50.38371258488929,52.344826891356426,52.91524150005876,49.97300159770706,55.522261276634254,58.541626921983514,55.88582216425818,57.14433220063104,54.634233855359135,59.75416565258948,58.32917278191697,61.306274436999296,61.69157084173036,58.99505994831735,59.61025879790856,57.98771922071086,58.75905694768417,59.78151545995388,55.345225297741564,56.26463711579372,54.07865671882168,51.30877800048374,53.64864384905611,50.31322879416568,47.49928328460945,49.938345218856874,50.748235541087595,45.91695905106632,45.716815470152625,48.716600904288796,47.324022326859776,42.62722126626542,44.57386938128703,45.74757306264739,41.34902893018225,40.41733483116337,44.34755392541356,46.29783750993014,49.03341448329751,52.92750539865513,52.26993704876336,53.884235428916746,59.04049155675475,60.90813458459787,63.77831825771043,63.17735742843535,62.347822703521594,64.11098181543471,61.259872609140004,66.0556442149739,65.99240715022856,60.413239525511024,62.616797456667335,67.05090479596906,63.80299568619348,61.36434325170051,64.59032128273067,66.04330547114515,62.10230702584331,60.266659753629376,56.893374431406826,56.99052298258841,59.38595734956572,57.3628818540986,57.436982313060916,58.272268273830306,54.87352393231443,53.39162088900505,54.036743696616234,52.09548211968662,48.4376683169002,49.13474001920831,48.463381218664544,45.296484743687515,44.885526788614406,48.95172086201263,46.8413854195152,42.63420003072491,46.57071418182807,50.04798633710654,51.18242937044909,54.04865316728518,53.7689657239663,58.18518828218403,56.923853825431706,52.70555216445157,56.75180034045099,58.9196357043131,56.11633252597445,55.74384241420537,61.61743303979977,60.94725027677281,56.53461158064667,59.20812564952737,63.829763552355196,62.2290734772838,58.8033517301123,54.17185210311458,58.25685404100743,54.25388117036573,53.82286931411356,48.747177169937224,47.9378162015205,42.93826290578554,44.08778374550514,46.50504487774926,50.195843491526475,50.381053874314375,50.890760142027176,46.35840376003849,48.39420788488104,43.653815582048395,41.914641568851586,43.237792031325256,44.152762189975654,41.63365957078641,39.13378733367696,39.89319363121277,38.41301938114728,34.92691967361248,34.67879439307087,36.32173856964588,33.75346128363808,30.996461862012996,29.96013382133794,30.430967987498953],[32.26590085139519,33.689110011777636,36.06192898975705,33.624910600556056,36.65582377078798,30.682840287648396,30.28018945976807,29.74470383811882,25.35764934142631,26.36174872505892,24.074775398619103,24.800065429819664,28.988855517400253,26.196598704812903,26.817300013313897,29.897387499550142,32.02974432824276,34.1784036003279,37.34233174585168,40.47484197406155,43.06508499098396,47.56406942654896,48.18106744058234,49.23856608491809,47.41122484650848,43.088450809819186,42.093948865989404,38.25900227652955,36.602418900953104,35.16201938324232,32.52379317401932,33.773604305102864,33.61958265208539,36.987055323395886,38.150843269649734,38.41049435457752,39.3759426667727,42.31912856425268,44.32754230282811,50.34934752940425,49.30732764032079,46.61508539627438,50.54100715796572,52.35243131835552,54.15515837901299,55.885841908906556,59.09421120671413,57.044409024034465,55.936550242938885,60.599985120733784,60.06091356485127,60.160608723098306,59.821007952062274,54.71470361374315,57.07256192186285,59.294059730818645,55.642297008025615,52.69281079634681,56.63561037367611,58.043818644426366,52.708775941523484,51.14613992457666,47.63036624876541,48.98380639540588,49.39137986001732,46.03459657996259,41.6970450274563,38.05392586395295,35.473733335501386,31.258558075174488,31.128711521554195,30.531585793740934,31.723777848032288,36.57744495409003,35.91548430234245,40.50489227994194,42.6372939568557,43.56485365207356,45.180505149684706,48.596462924309215,47.6771553831209,50.21634634284159,47.97866494405214,50.988411134396486,49.29876944797519,45.572525706279684,45.552117640014096,43.902816137950595,42.30531070724422,41.46102765440153,38.2000995703313,37.99008235971757,34.16241324946547,32.05837507342711,29.346513718378784,26.287562225939755,24.42675209369046,28.494668717135212,28.053678844256194,29.244919472813386,33.60191204507337,36.032907053822285,38.947887194519254,40.41630262095398,46.08876814264622,43.432140801762316,46.9504488159575,48.410196613902606,45.395731735712864,42.88946681828914,39.22806152878422,38.48382698993956,33.902377281777234,35.61887199742003,32.519416764440656,34.41498628175583,34.988974260552986,37.3659041306499,37.2784592439165,33.72895993719709,31.885596400633727,30.072993382703594,32.210907394969915,31.76428423806046,30.97153650563124,36.07808989456599,35.89008219987273,39.552670396718675,42.691494560256594,45.51631661166175,48.13195298488533,51.60887132895213,52.38242752191449,50.64651149987142,48.6367164037724,44.291457122651224,45.41448384904654,42.58679138286923,40.58791962235211,41.20487080980044,42.568153462104945,45.37984691279154,42.22136720260738,41.105464295798285,42.8517388585405,39.42422211965293,38.000613842190035,35.892333039008754,36.41679955456892,32.51194853880261,34.12646951913437,29.655356854122587,32.505928317988264,28.050823466071634,27.43130893418577,30.899602117225605,30.870357692571744,34.675128417828276,34.871134628650594,38.997845962755044,41.13473343167321,41.184264816401246,42.79412288174596,45.975108537052975,49.1352204435108,48.76784773014804,51.91880986964653,54.70968028656162,53.046754089302304,49.138408813679725,48.81606870061215,45.54142078245868,47.12942455497691,46.506793213542714,45.21651690393362,44.57520948714964,40.76037458547771,45.29605580063542,47.14821133067637,49.05755187286059,50.008688938753,46.96862323682941,52.63757084984332,55.77666847005304,53.26820312014674,54.49366750964975,52.03514720149484,57.266129102622386,56.21426765674741,59.04285454367131,59.52519549039172,56.67862411435908,57.38222437690334,55.740559415674106,56.43478562948498,57.498100177873674,53.15386506322209,53.92475018233408,51.87942872603104,48.83426728175673,51.21508945815336,47.66422551630132,45.02613827347,47.79288006464867,48.415589970952304,43.58452745640603,43.90413413486333,46.808047644891886,45.08082325581443,40.734584698132316,42.96744032982617,44.024787523211955,39.514014202475124,39.049587571412346,43.12878323291346,45.07137381025554,47.635771374254354,51.75306826109076,50.73304829444305,52.23387408688919,57.26290903249808,59.15558264059773,61.849769823820544,60.92852820450214,59.98855432948295,61.53277956311179,58.52700494471254,63.351995022539626,63.55260291208922,58.034131147771966,60.02276871003534,64.63713077138048,61.61464639397094,59.0616110935672,62.18887958862135,63.98736675798263,60.17871801890819,58.11579045873328,54.728374417750544,54.37217015106431,56.687038696282485,54.624192239365094,54.41182261176619,55.13896281245774,51.60952202770464,50.42122377465674,51.10244911306569,48.89767408102909,45.35823477579823,46.37906555285184,45.58170441019433,42.391085687993765,42.32324819641938,46.3972369145316,44.22246445422967,40.223589679504215,44.401343275790644,47.804706535055374,49.01721367517802,51.64294385352148,51.20138604332853,55.66241087447095,54.70875186344917,50.56470433697254,54.425107756117,56.84949433435846,54.22375321897633,53.74624502032953,59.58859959538686,59.26909679435568,54.92475341270496,57.3944794303087,62.11095000377441,60.81637608587842,57.458040427990156,52.946553606933136,57.289025990836365,53.49110934078119,52.94414582024128,47.87372914312462,46.646568395540115,41.6235270337662,43.19438761704698,45.420238125873695,49.17825259069309,49.08001259761229,49.231702513778664,44.52986997273085,46.22366574351996,41.50338817006556,39.71990205573597,40.520071083978294,41.370444170883495,38.56362456331775,36.47554467184115,37.45775632617776,35.63855983751925,32.13073132742946,32.49812200636577,34.02686701395917,31.088735103873542,28.24455291701004,26.940356339946558,27.202267619572286],[36.321591500517385,37.69174526761796,39.83028336570743,37.57261163435366,40.177959224537666,34.06895832938489,33.35416092895747,32.30783877381132,27.9750574711009,28.752364672129325,26.006654542607393,26.254065611537065,30.63955035184827,28.13831730948943,27.885421125180336,30.8562088454265,33.474533949903005,35.15395961759418,38.42984391124537,41.36055757458602,43.83073675930611,48.22094784048437,48.91790031486367,50.306442956448315,48.57911547435769,44.402225494131265,43.49248247925135,39.826072432688214,37.7744426177023,36.16427170937514,32.76959886642015,34.161600812768455,33.35640698033753,36.47199158265159,38.17531187723015,38.822400631264266,40.004986911575,43.282564305533036,45.6004712588372,51.438982689674376,50.71262671001722,47.62949514378684,51.33248918346761,53.47118272642177,55.28184014827568,57.28551848386444,60.31091864627433,58.11460227054669,57.38241029382465,62.01866970051657,61.14211554001636,61.27525096162533,60.65947620751851,55.67834347171217,57.5535590100025,59.73255840986869,56.2346213164805,52.9873710614733,56.67354203597828,58.34398056323527,53.004781565471895,50.9957780327651,47.32538159872611,48.7083557876873,49.53027815103453,46.27638643765957,42.025329964001756,38.38155841711055,36.12698909840494,31.839179348612426,31.965486352268435,31.03204919768424,31.80221409773651,36.59075987185448,35.77673319051062,39.76758908782625,42.35284476715847,42.85035640390148,44.85451747366942,48.539280872522475,47.79334434735431,50.75129762834595,48.578315942216385,51.91493503976624,50.50116558001917,46.49571586292595,46.190570001560026,44.1785666110778,42.49917065194526,40.99687192182068,37.8026595311052,37.06131781854192,33.38468875081143,31.37564918119465,29.30265970654421,25.89485959504905,24.810952403163775,28.596174567025333,28.613948429615938,29.680165626726993,34.05890297488843,36.957403326165284,39.80021195988414,41.777456488283754,47.6125446344637,45.37188556940336,48.925816973208256,50.72378621947544,47.98297164508771,45.186830088388184,41.83792341211438,40.90984355881877,36.45691445047134,38.2033876903091,34.8511591626462,36.927002605646564,37.0722057462774,39.67850422395023,39.00820470967172,35.291060119170716,33.84824536879346,32.282139261087075,34.94127094465669,34.62163928845631,33.9738118922904,39.06353682359671,38.93154009533546,42.40212006463445,45.487467096647904,47.93969319945445,50.95160971712747,54.2057871136067,54.949269820822025,52.86134822762131,51.200905917023086,46.93202817182054,48.513905193521396,45.57103790850991,43.60199587163366,43.860523228952054,45.26849498192023,47.68821830681265,44.292091993476994,43.296052835631244,44.7043591624357,41.102556235871646,40.00801365464402,37.77734761730032,38.40043858293188,34.62847416973223,36.17703885636747,31.556402692747334,33.96337100341837,29.432267766386577,28.399693512839317,31.92724081712052,32.15176533095292,36.16082545163035,36.20504189551788,40.77106277231922,43.15066552150385,42.76894457473285,44.89143893266413,47.710113824386774,51.26567443383132,51.33698534936243,54.4609323960324,57.44678543506532,55.99501528409463,52.0739659864444,51.60372532918811,48.165959577408756,49.33902262730242,48.41208021252829,46.78572028209159,45.92266341643573,41.89326412916405,46.118256450525934,48.27179628484119,50.29755349985498,51.66736738819982,48.824823209587194,54.56267295292146,57.755720615611246,55.327064426668805,56.21495395643682,53.591930312064086,58.912995410831336,58.08871653081788,60.99769727770035,61.723950913333596,58.8658869564552,59.848983271192125,58.33620280548627,59.07995076701735,60.302215725702446,56.11425530705436,56.85130603700969,55.015461454667985,51.75129765945555,54.22975340789148,50.50106010091657,48.02380806219151,51.09352745225813,51.57384981778532,46.77203638319932,47.4993792631549,50.33019277232013,48.322392479136326,44.301809404661974,46.72187268361631,47.65702423039393,43.08687808671444,42.9655665311329,47.082643064903735,49.046242097239066,51.442246344519155,55.74289756117946,54.49727910903925,55.885498226365996,60.81233042701053,62.662391772378434,65.2558053753043,64.06912671868513,63.06027212272469,64.39136251938747,61.242780576018596,66.07778877185292,66.5459212633977,61.09845088303264,62.8574502070506,67.62936393193691,64.81916654279922,62.14721090759063,65.1377302420917,67.25239084190719,63.56699499542366,61.23871987436486,57.9299750490996,57.12839433010374,59.39068315278869,57.34033432856483,56.804519100711616,57.40424560072799,53.721003178610154,52.90061471332593,53.62487664323371,51.10478162120346,47.75131266579042,49.13117944358321,48.15734362868079,44.95704140432246,45.274914371075305,49.278373471653175,46.98325823043957,43.235434073970595,47.61611006102907,50.892121442421974,52.23671867782193,54.65150349624073,54.101635810246044,58.584891231304354,57.89671364189569,53.86995686924569,57.55888194171722,60.19093111011856,57.71917433906105,57.16223892207197,62.95944471689647,62.91071749001092,58.62513819042011,60.91840338682248,65.705499466365,64.63040035530706,61.31564733313296,56.88900688218057,61.366192634869705,57.681879158727895,57.09771827820018,52.04077996692542,50.587799378244306,45.573107425050765,47.3527830172213,49.44746216781488,53.21604216368454,52.92164226694762,52.875106074835564,48.029124444080374,49.41402601073564,44.68903333740611,43.000103420496,43.31653874204456,44.13110579858472,41.0161106514928,39.376536844572136,40.602261406432284,38.45679437884042,34.95890542168847,35.91277830589012,37.30071521787428,34.02707816129232,31.12465007408809,29.518753304188717,29.455209495437288],[34.80005188377388,35.81829333665804,37.585713087697165,35.06702784298593,37.29817549932633,31.33915196993521,30.2659002745111,29.232377154257282,24.754127883416757,25.150612199577186,22.297018787327385,22.740713318124467,26.877192538441232,24.261556700758142,23.940804873134667,26.97031131038672,29.50429207031089,31.12995827841314,34.383424334581356,37.32979765451422,39.804829149008164,44.2083756568566,44.907927923503934,46.28224022794264,44.53251985204386,40.35491657646141,39.45765775588367,35.81364255947831,33.78868585932146,32.291284714588556,28.887230318452886,30.46089058671928,29.814478548246132,32.883456934889324,34.450409509659146,34.93445396893158,36.214409137730314,39.32956316956668,41.637489709903036,47.506413401603226,46.69684552894941,43.602711161150204,47.32988288925064,49.43877592764231,51.23861326192427,53.24514384897118,56.27206605829394,54.082407774914685,53.35522083223308,58.00262007948095,57.143335213469236,57.31667309511315,56.71975435514397,51.72495753305914,53.691778014168015,55.81340448105015,52.26555651857041,49.09507630118978,52.825573517977226,54.40410144826378,49.056193859707584,47.14715033753463,43.524586313335,44.8915285858179,45.6054136332439,42.33263993272892,38.06050347008276,34.40948509873605,32.11908136746909,27.825262070334876,27.95994745697833,27.13934622165366,27.896243747836767,32.71623789684197,31.901797761652638,36.091913352146214,38.539179972978815,39.208520464090526,41.11018646221218,44.72593759679216,44.03054186782145,46.92074100659973,44.87550376675182,48.159158937927934,46.65368008108062,42.65831676626155,42.2848919273023,40.423227481052855,38.62717554132892,37.34357010537133,34.05642013375436,33.47471544695801,29.74952823279479,27.778478359359884,25.530241671369048,22.191767790111754,20.949285218667573,25.020222742315774,25.143761544172747,26.69244824576271,30.684382473007282,33.81745858197777,36.35843979995725,38.502831593383206,44.22579838184869,42.073929239879455,45.78204503945546,47.5546482232908,44.940225769688894,42.13397914828781,38.780746135551496,37.546773664473015,33.08716776131178,34.62842959552449,31.09597257923605,33.131011532161374,33.13232548009492,35.762369563559425,34.99678303882895,31.259000982856698,29.868124828700857,28.366666293894163,31.1720214207365,30.956018886715064,30.493596916471244,35.588859157588026,35.783205078867766,39.08488724299791,42.25784859384632,44.58639953197209,47.68615753037054,50.94736576653311,51.5072473918263,49.40979037609317,47.68020639475194,43.399806687710786,45.147132561894466,42.034714353728624,39.99513695293819,40.10231782120425,41.459651635158444,43.75991715283906,40.32061923332871,39.376650011444845,40.738663008405936,37.167622862743535,36.134780314760135,34.0024055385821,34.794703827089286,31.164726011213887,32.993489917304196,28.522931417942335,31.21740840727209,27.106855358126527,25.691302031919104,28.930507031197248,28.8241431496506,32.90897185988778,32.65665999312704,37.31319519574364,39.48381732949495,38.94418924389335,41.04075639417136,43.82500485451724,47.41963984402739,47.545065981588635,50.7259464906829,53.7235715470312,52.401645148352415,48.44860054366392,47.99140958801744,44.47825104670752,45.59604429025692,44.676870533430865,43.05137369249138,42.31687204720755,38.22296983130379,42.565645570957074,44.553787642272745,46.67062834776373,47.92951029941475,45.26919472742961,50.96303631733858,54.10085696602901,51.60989626185249,52.36573598525225,49.669826917098405,54.98381915243477,54.11619822318933,57.084941873680265,57.86937958860802,55.06284981435612,56.15673382840442,54.74537100561313,55.591904978109184,56.951702909192164,52.85213996634532,53.74031066104488,52.08284781444036,48.84426865521263,51.5707471107104,47.912233742201416,45.31201620522899,48.53770106356191,49.238244691432335,44.44316618803046,45.08928859988895,48.148281804916294,46.36701119558475,42.26518648037041,44.78701284914083,45.96716063366617,41.43165514801628,41.23874972029123,45.552513186449545,47.28382465205328,49.936791179589235,53.85267482632253,52.54864428744144,54.14063470063502,58.97165149053935,61.08637002483516,63.44472409263674,62.2102827936233,60.98396094275543,62.23045012541673,58.91758321885674,63.67487425677973,64.22791879555415,58.64618652262288,60.26551869702176,65.02822338086473,62.22695122211072,59.415496528420405,62.27278842546022,64.4723733521828,60.82376027007697,58.23013258658392,55.13400976766518,54.22634812556384,56.61789400541802,54.80994707202945,54.27562944491669,55.140686509321895,51.29629446922664,50.38102031491646,51.46509953435465,49.00147968137453,45.44409055197264,46.97266596358404,46.31019240447904,43.14855128980928,43.381761812160995,47.6103268507491,45.547369972595014,41.780616160866046,46.12729364583125,49.5169190805303,50.63230949687315,52.931279265425,52.117745474816694,56.5964779362851,56.09642996467957,51.8525694108662,55.36297794277939,58.11852861463944,55.66390680529203,54.809494045307744,60.657996343734155,60.745989451367706,56.31403711643601,58.39243491260266,63.314972659294945,62.33782359832269,58.94134693776807,54.52924144144706,59.064548244852794,55.419606325145175,55.078408733920426,49.91699813321574,48.399079876465436,43.390639544839885,45.10907047372568,47.01815750159054,50.73001733162229,50.249850288349805,50.26838319582541,45.24974438772471,46.502611317479044,41.67935171578392,40.32217065944674,40.64167630453292,41.72468692319537,38.54461581031792,36.75431978324032,38.362386613020824,36.40263512064872,32.48396250370777,33.692861101356264,35.48714969600808,32.301524373799936,29.403883926626484,27.79473580372828,27.743683738995983],[34.353809962622115,35.05108512942634,36.574229240488265,33.56310945021896,35.61248678115301,30.013885924504976,28.6170321879752,27.921233332080202,23.212049338690182,22.9946719762581,20.176990946083315,21.235705585645324,24.734939610239902,21.645571147404077,21.49087600886199,24.705802346972668,26.822092999718652,28.294014456696374,31.197879170206708,34.39564321536743,36.697932067243215,41.20061057477373,41.71018220532003,42.94960868360888,41.34398738388602,37.11715037303868,36.445456951375384,32.86903142177855,31.114357425476523,30.022803585862857,26.588028435139186,28.676906541986064,28.331724312808397,31.177180633598244,32.53379446622327,32.60424470286316,34.16789269689622,36.78757192797006,39.00752684543543,44.995222848692265,43.802257595857434,40.702141852867086,44.53100851948946,46.49048390827118,48.11317889821154,50.03480786455845,53.10556325145586,51.09700274469853,50.345382129437176,55.05293952302318,54.35932947780559,54.69002866286227,54.180514431896206,49.14647167951751,51.37393899619275,53.282979794806444,49.573189224281265,46.64204798964447,50.411424175926555,51.68907075529858,46.28547439275611,44.531455287332676,41.05674712504033,42.13983165327715,42.72484734081487,39.5789203102502,35.04365106429271,31.559496613310454,28.923543022347758,24.76471124637237,24.61915598098309,23.705996629740888,24.82910107341847,29.646155328405065,29.20634892024131,33.67599303864657,36.07163835423712,37.11333072090763,38.93746439488828,42.4331102490984,41.96643378575567,44.71952183042533,42.990024830570455,46.12013656422896,44.3641075444324,40.446883511995814,39.8857970982774,38.424168395231156,36.265568434525115,35.429066930347425,31.88070111527627,31.397300427690713,27.720773072779952,26.023672705495418,23.55883816831648,20.36570634059386,18.852532205575514,23.57336765634467,23.88356086058162,26.198209859379823,29.532247357234493,32.93624129268496,34.99182067386901,37.28712352044648,42.76112152898102,40.62556807650653,44.53741228365687,46.132438500801115,43.585340638416675,40.908381022799816,37.41749961111909,35.79772724475849,31.27249218572118,32.382396482649,28.583069498400704,30.324514460947707,30.14784498970287,32.559529560736834,31.616473958575046,28.10118460700037,26.590877512009538,25.306495217930753,28.089424369354564,28.188669972727595,28.11857358729864,33.24847747620264,34.03480086295447,37.16444535420316,40.51375036972483,42.83367223866507,45.85668664083661,49.24669443983647,49.5121612290493,47.57580233435669,45.544307318669674,41.19805437757146,42.94093991261993,39.55155828856853,37.271011513125,37.30178504663346,38.30912035221808,40.527387308741815,37.157582619486426,36.41421954389077,37.85226274892408,34.50244911496147,33.4945285207644,31.70180734309135,32.81842566108638,29.415345025629623,31.725904581854344,27.572607143399146,30.76629585472785,27.22954664714498,25.487424994123366,28.285195672308937,27.62179972732861,31.732531198853703,31.026896516436153,35.68054916839189,37.35309185094083,36.62814161800263,38.41456656360568,41.282299695668605,44.7845999817206,44.73811053826043,48.11991329032151,50.98438513108892,49.819691151143815,45.78684677486539,45.50273265622069,41.930159634706015,43.18796445378696,42.43524795339259,40.937758012454644,40.52495778215574,36.3719201721096,40.96998105944713,42.5807662872704,44.847805756968626,45.7687345283201,43.405337911393154,48.97839874370755,51.98247618248516,49.33057070383368,49.91675275186315,47.07939187318825,52.33045467297241,51.19432922561899,54.3442780586415,55.16485376313076,52.50833376674768,53.709256592284575,52.44086555317037,53.461678457528336,54.97393095094361,50.93254771307293,52.0820225956222,50.562706825465895,47.496978004935315,50.48792244909533,47.021060005479306,44.19154936633217,47.42571284160996,48.46910508871688,43.684453527411776,43.97176699845859,47.33605662048507,45.97197770814513,41.60814303417777,44.09628994854327,45.60006532454856,41.16081901165575,40.65824345283543,45.10850825823572,46.591346774019456,49.604973397251605,52.9923579744658,51.80583780603115,53.67497517970819,58.46310379602774,60.84771299950159,63.03961161366484,61.91105253984708,60.50585121977787,61.766050821169955,58.351557067260174,63.00533895328772,63.523182011485915,57.76540275654404,59.33469432830996,63.99567367956799,61.09269189645789,58.18091826548576,60.93228470442886,63.05649410289617,59.383338369823704,56.59535499030469,53.75616836781443,52.95731915801236,55.53649215525066,54.02338042672637,53.632819989372656,54.84116842573988,50.889200420934394,49.726129133786316,51.18536762852759,48.915467270433474,45.08572439108714,46.612614861982244,46.34663662214885,43.24324747457806,43.21598376863162,47.673440495821524,45.885748116879824,42.00382606109493,46.19185057370272,49.73187243928257,50.56957643201466,52.86134225740411,51.84719097413761,56.29512053705718,55.846912156652095,51.33556230670483,54.741508907691475,57.503894719819876,54.98093128397438,53.85045405327117,59.7699090695256,59.83451995184916,55.20502356396673,57.14382263676025,62.17134625512106,61.14952027716027,57.626362012375374,53.16810023528076,57.63781341807284,53.931153176243605,53.92593493068937,48.642576420102486,47.26501264437713,42.27491719654947,43.705961187310585,45.500840867610385,49.11335445060964,48.56426260419194,48.84623128193486,43.71215016223514,44.99063911785548,40.036445287350595,39.09597856336953,39.69458505331987,41.1128329473477,38.0147600514606,35.84030769408458,37.7609586664289,36.18273526346971,31.817155168599967,32.98428548061922,35.28167726168528,32.38507068197284,29.540970162407085,28.06856318552052,28.141974983174133],[30.806941949500207,31.18190003808118,32.37194661172433,29.262086083660606,31.025649260531196,25.534713427050303,23.959834475588114,23.363359474233686,18.586255175202606,18.28057757259684,15.586533374113694,16.943066530635765,20.28387962611505,17.132150118378302,17.47624017684852,20.719293062860494,22.634253140132454,24.555546475021746,27.672722732787726,30.811284894650985,33.3940638109532,37.89777929389655,38.54283568529134,39.63301835070194,37.75866319976104,33.462484616483486,32.51388006944177,28.768402907017244,27.121358859837684,25.999801494874937,23.258078315555494,25.054211781681193,25.27857250202791,28.402308419338002,29.24393899940882,29.089954302532842,30.36966914860254,32.89073723275081,34.929805311581184,40.994104574188114,39.79099529080504,36.97994563758723,40.921393296176575,42.725373873279565,44.50387136618725,46.3102032387779,49.480496425396744,47.408668237678015,46.40540400184353,51.09705701110833,50.51778593904643,50.73528113146823,50.37930793040345,45.268393720533474,47.757680547281936,49.807733300886724,46.06462557784485,43.2636934800205,47.25361348466365,48.4726296611872,43.126528843513434,41.74826238983424,38.35370672535462,39.66467142879749,39.85669427807008,36.48036836286706,32.12771069347037,28.482040789601847,25.86818956983263,21.64612975726613,21.576246393492774,21.323326264228655,22.408674350553703,27.27331849440975,26.58503328530514,31.58301808740269,33.37538692004581,34.690073077048574,36.07646830847844,39.326750118747995,38.59042648080756,41.020686494912226,39.16744973497288,42.092200113165475,40.21349038286078,36.46049577224071,36.18363407880667,34.896479952846946,32.963556052214614,32.627438793137564,29.164387825956133,29.32974934751707,25.473743448866816,23.548312178753854,20.449485847277103,17.693626842637435,15.394889570524924,20.232904016674368,20.172020148205096,22.749922882025576,25.86020211485063,29.017698594887424,31.004739580768227,33.05406104052949,38.404171183905895,36.12226452776056,40.070872910462185,41.54183231881874,38.97763644068287,36.38003711329347,32.813464892199356,31.12519303261479,26.571999165318257,27.659298806009144,23.94037644422794,25.751718809288977,25.79882642313649,28.312093556844367,27.828706837390072,24.163304314461385,22.53475160027083,20.946374022250815,23.664327237565477,23.566672216740173,23.39311770398609,28.516906572164206,29.336776119524494,32.4298010714274,35.803606343268555,38.16201383175702,41.13191247247554,44.55746667385307,44.80065368035716,42.94248806424519,40.83221103700983,36.47430459982394,38.205041325968615,34.84608138323198,32.64238127154857,32.71905338838903,33.952196284321595,36.32764092015343,32.97170522978309,32.02933853403125,33.569286072290645,30.18850052945288,29.013151471555776,27.17874492966781,28.23788035604819,24.8102022914191,27.250906470642136,23.272062423840726,26.81512057135792,23.69318814990035,21.9073642441678,24.43023690570033,23.458050231422575,27.470391262281623,26.749280578908284,31.20398950142404,32.77122102898466,32.25778819576034,33.905410305058155,36.9060555369761,40.279878724261444,40.182573372038505,43.49568344929034,46.38153848647475,45.14532303641466,41.13642200555878,40.80866018162498,37.26618019515101,38.58927917914397,37.91336093953249,36.54684564032149,36.2273640591562,32.19634210489342,36.97594111157566,38.418615205341204,40.60710459240851,41.34520160709944,38.881395688107055,44.43284365069092,47.42779740121041,44.765515899809216,45.528927333032506,42.8214668172495,48.05860586366573,46.94560964130189,49.965898177934086,50.67931169760312,47.97005983138031,49.06351572781616,47.74370759464163,48.74219377406588,50.2384724760003,46.19501245196127,47.379720379454696,45.90499308478486,42.87883806798779,45.971272870784134,42.58531419005164,39.66957323932083,42.94818946999108,44.1344789712065,39.37762379849075,39.59363195607604,43.085621346598934,41.910804124475455,37.50221561313239,40.05061539135302,41.72845089122351,37.36361522744053,36.8249379268761,41.395073306170495,42.68136146366669,45.85680407022047,48.948767298413024,47.69898143599194,49.7023695151196,54.39448795614248,56.96806693896892,58.97730949266883,57.843021015898394,56.30219476445036,57.53669957859798,54.058351466405185,58.649860614733704,59.16774880602445,53.335938674747595,54.860498243436616,59.4824886131841,56.5643673378542,53.60110047742874,56.30560165139624,58.43550872792671,54.78150662178759,51.904693380171686,49.145723713250234,48.357806613147005,51.00297490138378,49.62107314875249,49.312718546005726,50.71605006333644,46.72731397586078,45.40290147025099,47.07569151553358,44.94620817334404,40.947296523807715,42.47792619712481,42.4828712981945,39.440688944867844,39.26693421326338,43.87321777337918,42.313236523838995,38.417463705086355,42.50273438571841,46.118949065559754,46.747622670184825,48.960159444241405,47.774817339886056,52.19250611226555,51.843788414055396,47.188039293978875,50.47260086818122,53.28554735033911,50.77781013695893,49.46272269734037,55.394831460748286,55.54224033007096,50.842902014979956,52.64848577386947,57.73783692740832,56.79248502333996,53.2424306470989,48.82470625580709,53.35140060474253,49.72239597325252,49.834650627783574,44.52059381087016,43.04586197133115,38.09436719133329,39.54566231989766,41.18358366518295,44.75923048674267,44.07450845685442,44.343872497683726,39.13457765180683,40.34952630774351,35.36785443049614,34.588112211436126,35.25049095168567,36.84150701866074,33.80074287674938,31.435449617029686,33.569213064092416,32.21001521394004,27.571940146923723,28.83695586165585,31.44800380043281,28.730397458477807,25.96968625182209,24.612809950619784,24.805705750852184],[33.55050002650836,33.68234644016733,34.431584893583576,31.380357330205094,32.476488675013094,27.11486461635961,25.037940001068428,23.986613019079105,19.326866352175944,18.431194441579688,15.225831970485865,16.224713877318774,19.391009928650863,16.517275658795214,15.735759005723212,18.903694980810336,21.239881858787932,22.576520303559963,25.78680167884379,28.728801722199577,31.19909650139617,35.61168372430727,36.340497156842495,37.73699759800833,35.93736788433772,31.79317364296672,30.94145752389496,27.407921440085996,25.387348812234926,24.216948607652075,20.654394631130046,22.829858861259027,22.565388878699835,25.38289035377298,26.616868302240682,26.674147125377704,28.28113040851962,30.96359223435323,33.29373340986005,39.19534684458319,38.2193765778213,35.025776057969836,38.77390462811042,40.85944744386516,42.63656734259557,44.70025692562449,47.69697783089626,45.494138073264075,44.8472663804564,49.51443730502109,48.64052918249884,48.92274531774226,48.33277047439414,43.32623446683644,45.452072130204094,47.41419459713922,43.76260254289708,40.75153669146727,44.5525636041461,45.93128217294615,40.56467374430741,38.85675586935183,35.3505966141241,36.680824488781575,37.16175598277231,33.8544400313386,29.55657516995975,25.88540676276157,23.56879426154856,19.243282433342078,19.47870865448965,19.002610689498106,19.596480695133952,24.462422900523713,23.601765683054072,28.259367366196415,30.356143532192462,31.441484393823515,33.101619344266595,36.55015808947899,36.02906836648197,38.79254222849891,37.125621110077276,40.30204261950966,38.6032058737238,34.60215179401323,33.98112972124159,32.49259333171119,30.353525578709753,29.60174999161128,26.082329020623227,25.899620753216954,22.105992046850503,20.31512098096531,17.655834235283102,14.58185806530411,12.952890748570034,17.875024462702743,18.451423379186657,21.414945383788222,24.076001458295096,27.89715764856427,29.496931916943232,32.17201336456009,37.5233776191861,35.72455628984861,39.79423911926131,41.53313167143053,39.34127083541519,36.50894757228697,33.274480517813274,31.191631646483284,26.84503373128985,27.756744618262136,23.696256329999024,25.61481158526289,25.078016111971113,27.815551248984875,26.649252629159502,22.813363876896634,21.69948407468992,20.481251089393893,23.829143250215896,23.957740692254784,24.0983379394781,29.071246045134806,30.188947735306005,32.90797703684078,36.24946761588248,38.13799640001841,41.50375604398303,44.702772366792104,44.771123439902965,42.60286511023651,40.77184655752961,36.52241330308233,38.78599826760571,35.23359222551063,33.0358446059346,32.63959443661357,33.857892880524716,35.72588430514661,32.126855973572326,31.359173332646943,32.50766505844715,29.00809644931248,28.236801280007203,26.3990217953137,27.70583975930248,24.609571498138592,27.190295113488517,23.301916395347106,26.59837125766616,23.85562271341104,21.397379204707764,23.625811897181897,22.586820323542053,26.801923957370636,25.649062513108166,30.563649643113166,32.1545812330332,31.07651973617075,33.1878218013419,35.78302264292743,39.546969819494386,39.90873737769173,43.21624547715933,46.269387394245065,45.33780281092913,41.329670901954316,40.87907604046949,37.160244466946594,38.03297207124978,37.08217551869836,35.40665612317118,34.997990180772995,30.724849820953935,35.2963748003062,36.86140474321157,39.23377512103318,40.25896559712053,38.15630172030955,43.695118686621875,46.67616022125003,44.0484778003157,44.3843602075343,41.46882731425398,46.76673059510705,45.83238695004998,48.96412303212596,49.94596233692926,47.28164962462451,48.7123878599241,47.59875928597311,48.71617459668794,50.44949037732144,46.64413319238658,47.90293778036901,46.75631663631182,43.590662552678744,46.916305139373364,43.465156390766545,40.63348180151707,44.241777756571054,45.4473388361932,40.777695105945,41.27898466090314,44.816378269121294,43.57323462220051,39.437903517352204,42.16771875793214,43.877644712526234,39.54202098899506,39.24364201044975,43.899370079502205,45.04985921373469,48.213844203529916,51.186849934536674,49.729704419030824,51.75346424161138,56.26470457354293,58.95653683604783,60.72081439300418,59.349628148601404,57.61621538670882,58.61029963530762,54.92274775544767,59.437264054448775,60.232299520929736,54.4054103360798,55.62799581821364,60.345587394907696,57.62898456556478,54.488257380713456,56.96116016999527,59.40618427275421,55.907070597676665,52.6363608201629,50.12183396751677,48.88130537819368,51.5564319870314,50.37314361941384,49.795848637910474,51.27571662392891,47.07149854301402,45.99986867843372,47.952870192456665,45.622234271803734,41.6738865274011,43.59342404753083,43.66711718625602,40.67947529126086,40.766352212986696,45.40924495796904,43.92004743585576,40.25893470169106,44.43449421300196,47.985036335028425,48.56797244906377,50.51677567719418,49.07828648883538,53.474085476199896,53.4687125406007,48.80551127927631,51.7996863948455,54.84357680460155,52.493201701971294,50.92536016475493,56.80701909690135,57.26708500622675,52.55645113574438,54.05493244781847,59.25623409073472,58.5640272531254,55.023194328875064,50.72475811526624,55.35971224758221,51.88124848401691,52.11612534672067,46.802362654838944,45.118440030288745,40.24418987601473,41.808838590529305,43.197233403567104,46.69988349171506,45.734754804075564,45.876498812002886,40.49137003621255,41.32619930035506,36.34070896089488,35.89921781277586,36.13110525971999,37.8623366697641,34.5580300662551,32.514945710205026,35.085372103898386,33.60294943866796,28.782510023814567,30.693445941409237,33.387313505649,30.508795506329903,27.769709161233774,26.192575039990114,26.10756548916468],[30.447705873659014,30.256273257263448,30.65076789725242,27.549064304073276,28.30708813515496,23.098197468248326,20.811884507498693,19.838565985936906,15.142425404840562,14.086124471814593,10.95490659535435,12.33183198405038,15.313597064292486,12.389187853853803,12.223298264827221,15.43768219236109,17.557585969564265,19.499070254376942,22.99850850169185,25.8421423214482,28.654787021895462,33.05079123772596,33.93889383115968,35.1542892516989,33.04196050773501,28.825471065387546,27.62728041829532,23.87816341509194,21.969494564575808,20.726598292985862,18.082848454160775,19.827839292823295,20.289893020863154,23.453783702475548,24.04629825103073,23.8454551642156,25.071945196670285,27.665865242015734,29.78041497388139,35.77756002338522,34.8044043928233,31.960168984380026,35.83839467599581,37.741901195272256,39.70226049424698,41.62444862837517,44.73495376171279,42.462286870665054,41.516801830848536,46.163461492920526,45.42401004891813,45.56873491313405,45.15810031203744,40.06191723071421,42.485727943773654,44.61915000208299,40.93698733131182,38.07471952139686,42.12429934959728,43.443733915369,38.15531463492045,36.88617820134498,33.4844856042882,35.07771733765857,35.104869136536685,31.537489022869217,27.486679664642494,23.639891139571464,21.38775640540754,17.026493311893468,17.380813172434937,17.75881042950659,18.277615507804995,23.105215071765393,21.94147909962247,27.162290982641935,28.527420724910318,29.911533408902002,31.046362999331187,34.19570542198698,33.340700668245226,35.722798148670634,33.88380260047834,36.82627716135916,34.9917918205392,31.17851127548011,30.91739990051009,29.61877247536552,27.783838193191777,27.621774632235464,24.249865443972094,24.85253089478932,20.902642023324393,18.838387151013166,15.387962631375869,12.984522323230708,10.242379816344055,15.252389017799153,15.313270253035132,18.57780242866975,20.96911443202133,24.461082076171007,26.006509925975806,28.373077478986374,33.600993548556055,31.619838179217812,35.723399790202656,37.32750782084431,35.10486053990786,32.359754027892215,29.045600088781086,26.898663716689125,22.523033835501153,23.428384306458323,19.46115928962486,21.50403459064004,21.245863017391084,24.13197278364213,23.54120704231781,19.511733474288658,18.275353961262457,16.65414288614385,19.9494612953703,19.81365990757051,19.813164004306092,24.75764434831532,25.885803591014454,28.558980484981813,31.917989287113038,33.85511863158124,37.16141899869492,40.39891286699773,40.46438244489938,38.37986821552928,36.46846219572749,32.20359407903079,34.45138771754774,30.953438181305042,28.86387371924499,28.52242760762915,30.030378813803562,32.0891346277567,28.508528047140526,27.487119448485828,28.75468640640524,25.19535358182362,24.21536091183342,22.292952286295755,23.517307686127474,20.374711579634287,23.10372685872565,19.427862243697977,23.111643910464956,20.87843291955841,18.396128714456022,20.27136774412934,18.86258696310348,22.95971099255592,21.802812414038115,26.49256035076588,27.98851642674569,27.176447523189236,29.145904105605123,31.90375327460163,35.523079210679924,35.82807422061437,39.04775933454403,42.12905617260753,41.09983453398373,37.12374953632138,36.61503648424581,32.933731436388896,33.87972979683248,33.01099578854364,31.482765256399002,31.16564901446844,27.034889559617937,31.821725954585737,33.211286118536876,35.4823185887515,36.310372672975895,34.060506798856544,39.59305703931617,42.576966971784024,39.94146941502984,40.50344977229291,37.747084875252334,43.03840061524835,42.13522517914572,45.10903067738259,45.95925262472381,43.22389872965843,44.519302057939406,43.33281551502523,44.41227191927462,46.11128363484359,42.29224765377612,43.57293404798076,42.458813139179874,39.33367634110928,42.746502218556344,39.38185098675115,36.471775196472805,40.11316539214079,41.45112789121945,36.826785109608124,37.26298608678087,40.90422487438152,39.849016566946396,35.69874261499373,38.4721552633127,40.335649964954285,36.10586352606015,35.783218811332425,40.51451518887165,41.47087397037505,44.761409010761014,47.447226117318905,45.93361205705587,48.07187751455608,52.47775674348699,55.333902174141,56.928277048610234,55.56227588304797,53.71194441781917,54.68839867354174,50.95559606490344,55.40783145739419,56.18892005138018,50.30288909687284,51.49216161202687,56.16359893643048,53.431184892128385,50.25182617715804,52.68968992162999,55.12752694484945,51.64649918981447,48.30939930535485,45.86040265750592,44.641650016208935,47.37659659494224,46.3128455784702,45.827962655085464,47.492796218276474,43.271992564148704,42.03091817505657,44.1800381442748,42.00514066470042,37.897867837753665,39.803900362916366,40.14569913871777,37.23464182984519,37.170161752701304,41.9327393413376,40.67383079535426,37.0203544247136,41.06457981328985,44.66731407182118,45.04692123427314,46.916538531602946,45.32487129760199,49.67786947225808,49.75789537666748,44.97425760889577,47.84781777391215,50.926343623512594,48.59495441605379,46.86194176083385,52.74196140116834,53.273646989758745,48.514095870575744,49.8880880943092,55.13320088428576,54.51179114432255,50.95931582759565,46.71434764787651,51.392729941297006,48.004297163705296,48.33618358699246,43.024261677734174,41.24633078104644,36.44147495230942,38.031209505192386,39.253440515727625,42.70672298671863,41.61121944262723,41.72675148248205,36.286426291783094,37.05153587824385,32.05327529742909,31.77344995218222,32.06020400919542,33.96056647234927,30.73288117175727,28.503571518600875,31.28447869858145,30.0371560916401,24.971785441030207,26.9920751988122,29.97377485570546,27.313562151695304,24.70566332871147,23.265628629463983,23.297897617931177],[31.16000921491906,31.14949710091817,32.08956860640539,28.272798729177026,29.899971083861846,25.138947745293734,23.231024599340934,23.346439919209825,18.431680098320275,17.152040456781364,14.847912510653027,17.311748768065005,19.322161318866307,15.327778815536936,16.269360051445737,19.70755150034063,20.67237653498515,22.38140062928509,24.761710064909423,28.364706329022262,30.626386604177107,35.278231349162894,35.56880074025755,36.356143808400745,34.73886997469969,30.35079751404759,29.802992690229495,26.17855122355023,25.13794783098376,24.779603598485092,22.223510894103434,24.757897494766404,25.51079928207416,28.208288582477543,28.653025492905087,27.792687915880588,29.462378709140438,31.07593248413749,32.88080718850641,39.10836361939667,37.226973821056035,34.50006751148816,38.613986257839294,40.103755931577204,41.56589093567297,43.1686595906894,46.43486135958336,44.70553551552143,43.6017097055498,48.37899290040608,48.129629220859954,48.58828870692443,48.41388596659233,43.25891010939104,46.200300896356204,47.90720536538198,43.91763831673636,41.558384621856895,45.59376552105583,46.301468740089206,40.90631569596056,39.8329270358744,36.73409712525916,37.549625433938694,37.494538582493334,34.366112894685216,29.602062426744187,26.319549110234725,23.056241629683417,19.214762602673765,18.515770183928556,18.16352510272924,20.041817523571183,24.767383574536797,24.805708016266397,30.187807711458515,31.836893097197873,33.746561430881464,34.96548130816108,37.95545112781202,37.5670696161335,39.70444871931357,38.344493401415576,40.950365216222075,38.66518243868031,35.13124429125303,34.60645588771397,34.015831485189665,31.561325855894616,31.996984373998117,28.209838500626844,28.55170171578738,24.901799826215054,23.4841697616738,20.142241613066968,17.8576207335502,15.174825340782533,20.73196471642565,20.87642568096401,24.35773660350831,26.45006131742417,29.786237145893093,31.0595397756038,33.174037483464346,38.03957985930439,35.72754341020265,39.88579739101944,41.01056946189347,38.50186899137508,36.20240770990611,32.42734836864047,30.258455861579755,25.672414943210846,26.020253965195522,21.99038735307806,23.16990393063056,23.021697585280226,25.022044510897214,24.369728794060883,21.225423239914882,19.238834353005792,18.027459505587977,20.478501782439817,20.95856834100934,21.46976215765775,26.569690816091843,28.31911178612186,31.149826361080546,34.75614983812863,37.17501201840819,39.8855418208642,43.52536571809456,43.347009181821285,41.83362388059812,39.202838477715034,34.76409062979276,36.32883942451439,32.587770872895796,29.977804391819436,30.040399279268694,30.6210367636215,32.96142103718471,29.812756887961058,29.208144862806922,30.963435531387645,28.04894057279425,26.84626644412562,25.661938530691547,27.202904728146777,24.19584476314376,27.300016208314872,23.96312064509482,28.11239915411171,25.821516157752047,23.829687027587642,25.665722093186965,23.929265411406927,27.7766334927088,26.450541385215967,30.680442511658185,31.39370405213394,30.695150433053247,31.68115155499481,34.880737953876576,37.98029839615633,37.48076530812519,41.1161173338065,43.718788390293824,42.677368392393085,38.56053070988463,38.562599709367475,34.995633003644954,36.64989000565251,36.31885857785727,35.2441280539717,35.46153197309371,31.459771526833823,36.577571282917354,37.391693072337574,39.75157081922989,39.89288071278024,37.860963371085425,43.15624986671923,45.91531201254125,43.01312947844761,43.5842403325346,40.70577854462102,45.78949970591996,44.19849634829083,47.485183921255015,48.19758298472121,45.73797355997449,46.9247811658995,45.797760323142356,47.03873841530121,48.705035927189556,44.729515446011874,46.28876380912548,44.95551528526774,42.2665100514289,45.64748178205551,42.605175399349726,39.38235824835976,42.52959555772337,44.188651402983986,39.50505127444072,39.10765226109937,42.97339834841013,42.424490333208794,37.65438748736914,40.04375485170175,42.13246964646049,37.97940270734125,36.93899291313966,41.57506234851771,42.537272602536156,46.16828619262196,48.518539079429765,47.52275217912831,49.87924992947206,54.514782712029266,57.38859552300444,59.23151519598917,58.3198521303913,56.60735393706804,57.91321105439198,54.38676673462504,58.81133429683919,59.204088883747026,53.181213609573376,54.698624726151046,59.11072483366106,56.01895670182149,52.98506502372381,55.57212984907589,57.49148877654921,53.78783192210969,50.75251382172837,48.340503046052746,47.839251096394044,50.72021385710446,49.72289346707746,49.68286669697629,51.51500236255615,47.484985426554914,45.7828309511391,47.873350632284044,46.0805503439749,41.77770328963083,43.180671127218574,43.69271178551551,40.77032303412108,40.188853018683965,44.99783460964921,43.79542044769499,39.76418196333375,43.53648170032215,47.30486060891313,47.57933002537429,49.82816648580846,48.46436575030673,52.789367683765335,52.417587724699025,47.46243196584108,50.64225400931225,53.36623584108091,50.745677794459226,49.1302090229832,55.11402769472452,55.13370183828506,50.20216084634389,51.87719255911214,57.0392332699128,55.959709702740874,52.25278229385394,47.772531671460726,52.11766749267572,48.37902483084878,48.95104630927264,43.52270470063515,42.35334377248441,37.489304792127925,38.43234632790951,39.952844592535854,43.349162902598444,42.65600826196365,43.36985564359511,38.1106285381056,39.45354993378498,34.35304629795499,34.14966963295234,35.33186855209443,37.333221993171975,34.54820231601495,31.613847187886304,34.02294795934596,33.2667082713271,28.209809805440617,29.185013207821974,32.391726346193565,30.20085955453274,27.61309454780852,26.54349088551171,26.94445346407497],[29.810330414717146,29.444928837285705,30.10790277011888,25.872001727888083,27.331039741773928,23.1564449158195,21.07083749860093,21.76419198802755,16.91467616715038,15.09295024705651,13.397010047672051,16.63838885434477,17.641813808022142,13.175522821654372,15.04054283767125,18.438172900447586,18.557722834900503,20.487266964634888,22.47318634330325,26.284107928862408,28.51691980931797,33.20647295047058,33.36345474810848,33.82615118860619,32.19216314165119,27.725171502946864,27.229579877676223,23.58292653403943,23.07711861179574,23.17387806347543,21.36640490998363,23.982823603379494,25.375100967151543,27.974636933583152,27.862057217332662,26.478669020843537,28.106428204611895,29.09509818277538,30.580052307243328,36.906650348920195,34.61452112173431,32.20466141389973,36.47389947674946,37.635704767639524,39.001808625131964,40.36334663602701,43.756602803919435,42.21345238932069,40.84620929239187,45.64233918334772,45.69236091177354,46.20235214033977,46.25514576793687,41.05088231550124,44.4194507251333,46.02617898617417,41.904116323845884,39.908929347775064,44.0840348566009,44.46164467461622,39.12238726526176,38.48915376361519,35.645938285284736,36.31900153186374,35.86185884836,32.7627955645332,27.951519850247625,24.851038059855558,21.259840853339792,17.77046014225668,16.70045304771804,16.807862045879894,19.123464960296452,23.618391062593936,23.931581863235742,29.7234313756923,30.8777041417597,33.2414824801196,34.07230017330965,36.715649251666036,36.328580324735775,38.05173342140233,36.86963403212364,39.11951954451024,36.53439695074862,33.29944445027262,32.86919811766592,32.79622665951084,30.267535930317763,31.443315071970215,27.633171575725928,28.4617326961254,24.916511941142982,23.658151520593275,19.930838384433386,18.304769846340122,15.087662579560465,20.71704012863126,20.66685775026375,24.5420749537531,25.9955671158548,29.099554296807465,29.991005208419473,31.862940511014195,36.32427634528881,33.863234187431516,38.08595400511178,38.896774922234975,36.37314260264904,34.350997640163804,30.415270221591864,28.027796666673222,23.456842442046305,23.348329214488157,19.313457021612,20.064351317165748,20.06046534478531,21.713797691951594,21.419636934988393,18.611598366344996,16.222333949472592,15.003152298098039,17.019312436644114,17.724071814412234,18.57809596339556,23.599119178240322,25.877080073662714,28.54907277558111,32.26995498660477,34.80077169533504,37.24025093869657,41.03211736630214,40.63674591412428,39.424998094672326,36.42551800670381,31.94927856461193,33.30025840185756,29.40882382871424,26.608886621617202,26.78191896424752,27.095575160610235,29.603826082643263,26.660271641515873,26.109198888780963,28.119267675068468,25.53108859648627,24.146348376314677,23.36440222330738,25.088037755644255,22.337218767722934,25.803387010566677,23.018755060571948,27.59034857356322,25.956087968136934,24.00774656665571,25.32674601651497,23.082858292378692,26.63258092406626,25.064052844093972,28.878484291258836,29.01778128579384,28.448327845009736,28.857852225861023,32.29870586871778,35.06491253243275,34.219040405402694,37.985068166471734,40.39777362847895,39.37561649098858,35.224976345773676,35.417916097915175,31.908252970410448,33.866810372069665,33.8330141386926,33.06709931779199,33.65108776021996,29.83766594864051,35.19643110426775,35.545673450056455,37.897384445011625,37.556550412296744,35.66566799488965,40.76204666975528,43.37001272666306,40.34027162883488,40.97792653043034,38.13489628575521,43.08485807484756,41.21651618617565,44.54257277447416,45.14129327347942,42.7901107429064,43.905799763908774,42.82566050709858,44.16325615350615,45.86703979603043,41.90768780266349,43.67424171501497,42.39813385188958,39.96152295179842,43.49070333521055,40.7164995400572,37.29770459190256,40.312310753459954,42.28854048767798,37.69503122571707,36.8774662499734,40.9737700399158,40.879381347792304,35.90611647921648,38.18284243768621,40.55750120751003,36.605613895605146,35.25214233115942,39.91617909263257,40.60923022765369,44.53615620295701,46.3335194755957,45.47949101029501,48.07356447772064,52.624860524144026,55.71644884240888,57.40614084324654,56.64835116578051,54.816957105176606,56.17597655086673,52.64574627106426,56.93725998120918,57.21957083754205,51.09039811177463,52.61940016919341,56.862648039434674,53.653787453273935,50.598478014668835,53.12247347980857,54.87308414331084,51.14286104639659,48.052322733780436,45.84672708539272,45.5851074517202,48.60351847936473,47.85542129580697,48.04318841359334,50.17288695426182,46.169759463047846,44.16158094697467,46.51923128772141,45.02035060962664,40.51201568383155,41.773482668966416,42.67341001488092,39.87198145268309,38.97077135618188,43.899133389112066,42.99814301811712,38.90813739842408,42.404124542418494,46.25902101472051,46.24890323296648,48.495940036832195,47.00210886195052,51.23228031990226,50.85011419884037,45.702430745114924,48.783729480831695,51.43306516980455,48.75380029651828,46.9301010884054,52.92057474822117,52.86638081439813,47.803135805663295,49.375329470243265,54.56626618286493,53.42094980911235,49.63122656022327,45.14421636193979,49.380580326094105,45.619998250334646,46.486196811544076,41.01433699816296,40.00333430852638,35.24549929445375,35.88231730829004,37.27401733407747,40.535380435534734,39.810641038245265,40.784136641291006,35.52598216065052,36.95698626227206,31.824625540643225,31.99444003638821,33.55981727543881,35.82935837157679,33.298678726657954,29.947522134739526,32.51571018911555,32.236326818395085,26.944716551772434,27.68614815525576,31.308788747585005,29.56637837860517,27.17713144358152,26.37707043373839,26.969323641310183],[33.00738336533481,32.33571906409888,32.78752073638295,27.932475030979152,29.21605038867884,26.132408826852355,23.841231114437143,25.20505265730825,20.636809942996116,17.95229902512872,16.842081647997617,20.61595217985406,20.180864832101776,15.321995684877015,17.33127323320338,20.548320126008665,19.514840968961305,20.6921381325964,21.254148573226075,25.609127170137327,27.099961456134924,31.85060143145784,31.395089518281722,31.44580689888,30.400391270137288,25.978509521500975,26.291829125329645,23.131992692930208,23.502637119873427,24.65290296477063,22.845619714014347,26.336499565579206,27.98134764792711,29.84097984177686,29.49562772787679,27.38636900872786,29.591112413115706,29.372326244698097,30.565673547116695,36.868357570106525,33.67501757539255,31.30622485411829,35.64062202590616,36.396462852523406,37.17755688592638,38.27099357736711,41.69596912913608,40.71635152629916,39.36900040408987,44.208235760232746,44.66873439154971,45.573876481458846,45.79527907165399,40.67257216767935,44.46121848442261,45.49747422439661,41.12395401307782,39.72241856615024,43.76477890884332,43.45161136443312,38.12443687995241,37.7586338127111,35.364607386742236,35.22181532540321,34.599728805981016,32.06437658932312,26.74068462688386,24.421545408148667,20.04623874853268,17.526164934466816,15.483718342299339,15.086115648068976,18.50982345415829,22.41271003070171,23.895180438918047,29.68546836834029,30.86534615394135,33.81504430585292,34.59881762278841,36.93273335332948,37.1489343356087,38.600468347435054,38.164738433707754,40.0463554658199,37.05575893289627,34.12660542425901,33.222985128575885,33.987789659876235,30.753158448425893,32.651243702417986,28.54530018072635,29.276109356353135,26.24069068528689,25.752637367632826,22.284242925720847,21.094654215996098,18.1680316596335,23.99446856723897,24.348769388928012,28.823570142918655,29.281936064773248,32.61612012511746,32.68597489532292,34.72384965830023,38.52899645865734,36.207650542651976,40.557325575128225,40.99958148195605,38.65070984506815,36.99512725785161,33.00699834779387,30.13101287035304,25.803643253676604,24.73373593560775,20.52418614491933,20.21634788749759,19.73304009458353,20.339260003713285,19.470563578626717,17.888729558752853,15.189642078878698,15.021320962785458,16.374421751206533,18.133149886931033,20.021698100374692,24.578572414858996,27.977145554532214,30.159262446679517,34.013214940034636,36.478433233304806,38.56240867146736,42.50193962762859,41.5542685974231,40.768795263911805,37.21533900897551,32.79312971823979,33.912996659557514,29.593166926619542,26.268249514276754,26.349104874554488,25.464643698178484,27.706055414009878,25.19689780591062,25.338680072157555,27.514598161021777,25.769287878866454,24.538605548614186,24.747975268794406,27.040603427036462,25.018758130157703,28.997629698695835,26.955263668721372,31.781426365337367,30.819172292540646,28.70233545698649,29.44207490540377,26.660647238042184,29.927901083073927,27.72743370298943,31.21884138038976,30.31529385532917,29.37927466504609,28.932575832983876,32.43080945805968,34.79809641339264,33.43777478784082,37.6123620305362,39.55452441654527,38.90057310996445,34.68714941489395,35.37163265167556,31.914783777316032,34.214603453971144,34.603834615581235,34.17356524947016,35.38518818720356,31.675594873462305,37.17239717541467,36.79966202504158,39.35464835382818,38.34208926701016,37.150527933299514,41.78217633597713,44.01866677806924,40.73628111856209,40.97726474425486,37.886815393081235,42.51963432914421,39.98692693065309,43.71348797747318,44.36970210223983,42.44992101862315,43.7497049135519,43.002051945745734,44.66680497077647,46.5947668466661,42.8299774585008,45.044640893927706,43.98720707434501,42.00830794828309,45.7925969215182,43.454498640651885,39.79287050781877,42.578568662783326,45.026982806512706,40.61821804955607,39.13702987977263,43.537485025431224,44.09911814048067,38.86135944775494,40.88132853489384,43.6162077024328,39.9640773531589,38.10440166560826,42.68754343312711,43.04812100952118,47.376732629247144,48.35278101711814,47.83895187400376,50.76433364821838,55.20763520880694,58.55506993232834,60.08109162609036,59.58452844414634,57.60680003423872,59.02742475243189,55.492003795416274,59.549104349728914,59.696425691262476,53.44396615256441,54.93642451116372,58.88675029035321,55.52365951153317,52.43192012116411,54.77084195955959,56.24664959276724,52.510555659045984,49.2703148087705,47.54010250162287,47.604557083991914,50.838407689631005,50.533489987839076,50.983105535896655,53.51199027256498,49.51471776233857,47.187096653826195,49.92582241374626,48.756745438803826,44.054676132626774,45.178857211299125,46.52585023160893,43.87893644094027,42.62950986508112,47.64111483757828,47.06004053093167,42.911046762936984,46.0544835619422,49.98686566172783,49.65639242166145,51.924971543180625,50.29579190701396,54.37055274674043,53.952158979771674,48.58606850779272,51.51998544830636,54.02066025548763,51.249682906209834,49.144190998125175,55.09581764438899,54.8727943798792,49.623862424899635,51.035573419768454,56.225366014472954,54.91063853510238,50.98744223453485,46.491275509514736,50.398992167648245,46.53604473464371,47.94970036242672,42.455573577311064,41.885540325048204,37.35577478444776,37.323328467994,38.57010775431919,41.51795183533795,40.83758296533544,42.368342993984804,37.20697706443302,38.75644142586001,33.652676377047264,34.492731041786904,36.55921843850122,39.17293723444456,36.94645797288013,33.17745594177808,35.9127829316401,36.191788088966725,30.729203767949844,31.141060370512154,35.153996006026574,33.91123647834671,31.723887404614665,31.147439129203008,31.832830204796025],[29.66724704569063,29.669599981599525,31.05200138740076,26.5191181130716,29.049202082003276,25.145679467645095,23.811493487354284,25.2356735393423,20.504011410702013,19.27913491530588,18.245738472737084,21.57580020448363,22.606254629996155,18.057323844058143,20.542095695157297,23.87885300499473,23.54689174661847,25.562414765524128,26.954969436884667,31.043754649257917,32.9926640791715,37.72137191420521,37.530556768707875,37.60984057119767,36.25888848027049,31.76939910424683,31.565287701853343,28.006622337721684,28.048702993333634,28.422160910347312,26.935170468444365,29.53754547336349,31.04321261758831,33.633559696676954,33.44491795019573,31.867159630952084,33.46237389717933,34.064609526079,35.25098090547749,41.62521104160764,38.85536865748895,36.75224456060069,41.12822488998499,41.937312466531964,43.01858441349945,44.043112077951385,47.55361462350979,46.39554439074761,44.78096526591784,49.57676537426904,50.03687917528652,50.655270877479104,50.93832757459657,45.72196359755236,49.438966470365266,50.88669631966004,46.63496568913675,44.96891837661233,49.16004261402649,49.19941713972421,43.885348324099574,43.44782627183986,40.7948396820091,41.09625306779697,40.54045447457101,37.68564206300028,32.63192047961293,29.879150606527677,25.888820575597514,22.818067244806024,21.275754364438136,21.009270349846982,23.949429930664802,28.23423486234709,29.104280186557524,34.86054739166372,36.11294585235875,38.659347647737775,39.486809642728254,42.00440573113603,41.71309215258621,43.20732902761742,42.104208378488444,44.09394171181372,41.29069113210662,38.339115213440394,37.98489872372683,38.21214532710681,35.59807666293756,37.01681249539574,33.13134782454907,33.84758227252721,30.414733974542404,29.28816490079292,25.608361045842095,23.920674787564316,20.748869538628107,26.309977060154086,26.032183057871553,29.5551076415815,31.354507569549856,34.028538902271855,35.14641131535577,36.54621488568694,40.86345220870428,37.99614875702822,42.063671652917925,42.49472603970396,39.60208160283354,37.96691319429233,33.69226671405809,31.705156664077972,27.060650666408876,26.900016410770405,23.330811558626632,23.58325048509386,24.052472336223463,24.994871542679174,25.12669125053535,23.04440705476818,20.198882893972723,19.055942969373962,19.94590956366621,20.731876928246475,21.49409927515433,26.411802950948122,28.601782481831233,31.572053226296266,35.311140536944414,38.360959371889024,40.179889177038675,44.25961313716952,43.910335310921575,43.1955854728631,39.74168563910787,35.2135179307196,35.76048405672505,32.03121081019016,29.05719170020915,29.825228884658646,29.619476664517308,32.56822556631646,30.149640189437623,29.720196529077874,32.14449380505137,30.000903136396683,28.326516289764903,27.84648910354252,29.42883117108478,26.563718607019062,29.875082082859464,27.135587846250246,31.80678242549495,29.77484175878144,28.44764496357943,30.057015572315514,27.94428801903231,31.256403030334447,30.00611279163739,33.322893361182615,33.20785159250638,33.069568463526764,32.77959169152609,36.57741602816805,38.786210766032156,37.23024966501593,41.121992400477104,43.1069588423486,41.85919559266253,37.72886488659538,38.28260650609741,35.06425326682986,37.633880358139834,38.01559790565533,37.63563487139903,38.429948131595744,34.86404457691535,40.33520251358952,40.459754379520525,42.69382798645267,41.94170079673782,39.91552014936893,44.84825585093742,47.337132132358256,44.21856116574811,45.138826811241934,42.42112470151621,47.1540924466772,44.86715908208577,48.221577448391855,48.55950532392374,46.35154706855052,47.15154073292022,45.96117855171731,47.260146503906924,48.73157295641309,44.563597447421635,46.36404118108774,44.72147718272143,42.63835314843265,45.8825734142498,43.33431646919098,39.78394362373229,42.22531954794487,44.28092956376089,39.6603573784569,38.21739108890467,42.291478621414335,42.47515515375746,37.06431205522177,38.92633530341206,41.323701770191704,37.451748435345465,35.536072793574114,39.96142703647809,40.79079524041038,44.83339171635605,46.564188276672986,46.19615001704193,48.834395938998625,53.622545558520414,56.560863355080656,58.60168044282046,58.27526666416591,56.70929282967322,58.41435394726045,55.19418181348747,59.50970248123105,59.38079830536762,53.25663117414257,55.179957590680004,59.18958658510938,55.67371072211613,52.879868418321266,55.64843945752641,56.86519657037141,52.92898793782872,50.37427168407426,47.996543376640545,48.446535025819266,51.45589701404193,50.55779364008212,51.13681361171903,53.21233046526737,49.50600121851208,47.16527768870885,49.19912295110519,48.0078200855995,43.472525587953044,44.18917681430843,45.040007323009995,42.217001047520824,40.920882718012564,45.73702818959443,44.774425346884975,40.38624025616255,43.637055870031126,47.559261637611336,47.57208326395172,50.20631584364261,49.07636842787071,53.27031126473823,52.37490307812073,47.23674220785025,50.69177968711245,52.936306560954314,50.00659251896939,48.51058736927763,54.523078645394236,53.92816426267005,48.85397589533026,50.8483157922405,55.83273845862232,54.2273796403162,50.39195485767936,45.72229874069849,49.61343575661235,45.54851757455263,46.42008397868428,40.96256402908038,40.520893104368255,35.75170174160819,35.88930856469372,37.674833981592776,40.91181798563979,40.6997994791038,42.09571734117144,37.203483773166006,39.22675369100247,34.17947470589944,34.05983984438487,36.33406629287997,38.44729575883962,36.345592405494386,32.571081498061965,34.50365181892214,34.505532026263154,29.567593145255273,29.266200386143407,32.762830753229444,31.38712872000938,29.05143311130252,28.579256532611424,29.46472134789854],[29.16237949364635,28.79794684537071,30.05600253941515,24.90042708538658,27.615082513705612,24.967713011246794,23.82624672020649,26.257082321569413,22.00567191071216,20.474571257682722,20.486500810825678,24.373599759439365,24.234197758337988,19.54553065863126,22.971225559044864,26.015548422771804,24.552262473992744,26.686970428024964,27.20019128489832,31.4847118366989,33.15484608147643,37.78795131980905,37.242759451246,36.69056735554196,35.52510770382078,31.09780485191857,31.15195014154318,27.810229424705362,28.803178169093666,29.85135261715254,29.360558014279512,31.985375737342533,34.160879597095544,36.549415658813864,35.728333375113465,33.51216752686193,35.02043516697543,34.64443309725083,35.24346134280349,41.57464796296037,38.07961411856933,36.6010186833534,41.10051741826383,41.28142823505507,42.045910606176776,42.54390310002432,46.207668048365996,45.53471793619702,43.48810146881071,48.21309292606131,49.279286297638116,50.02691100384858,50.71327655096984,45.52980716786715,49.89483851803712,51.09451469749355,46.67867074247204,45.67550984100349,49.96546873399994,49.40821905744251,44.28345351853036,44.49442109097078,42.30391172194998,42.24136913038157,41.15679262026355,38.54306075898888,33.47338656496651,31.223508674400527,26.85889435905465,24.590886175894042,22.53655552728108,22.628026402600653,26.11055175772206,29.822943419435596,31.21723499782531,37.23520636637902,37.93156696322142,41.02794002068497,41.39189203659426,43.38593464771813,43.16999473329621,44.02528351902437,43.234425971439414,44.61713985432954,41.38545170156107,39.023356341453464,38.801160012072614,39.80053744346088,37.10284015428672,39.45013047045767,35.59357671547627,36.774478461151595,33.5900325653446,32.72289210388263,28.803124141958016,27.779429338427057,24.289091073447533,29.68909178329492,29.18765196448468,32.9249811526881,34.068524006840995,36.28200429331725,36.971829270609234,37.87998519295688,41.495603095963595,38.35386472993476,42.340286278003006,42.166935157793205,39.17198380727684,38.14008545626404,33.63929895141176,31.592984960424623,27.175345518675776,26.34161312511812,23.23290769199559,22.57073910578694,23.43064731142038,23.37125810834729,24.21016823787782,23.159626689690796,19.819879217603475,18.890002165589735,18.364451413414912,19.511891265089066,20.702057739021885,25.057379027705874,27.897147154474798,30.62764780712591,34.40251581773882,37.749000070320555,38.832516884341636,43.172855133744655,42.51900710053358,42.48921693180513,38.371097492981455,33.90591115855688,33.704006415757796,29.943429574696584,26.68192604125875,27.910757192371864,26.94626878813533,30.262423691934256,28.559908132358736,28.32883512965782,31.212478666086874,29.8552853003545,27.902491253734823,28.15735663198335,29.854195585174196,27.443732018441796,30.994292187572647,29.079601141110714,34.10016101405074,32.76128491825135,31.698526030128463,32.77263617188613,30.20360477713155,32.9550425305548,31.5591426967566,34.03854429647682,33.03297143704635,33.23875215695759,31.833135582723944,35.9875596130721,37.38806547452746,34.993046569174076,39.05762968082471,40.47202701985716,39.18350867968895,35.11196706442363,36.15276457424823,33.27107857709186,36.50886463972435,37.49833722819298,37.72257431048001,39.07846871939777,35.95428228651373,41.61791667116664,41.04036718946298,43.17342747407199,41.6064450490301,39.79539265735162,44.24841682198494,46.40852918744129,43.126833103455716,44.224864738637564,41.662361172392764,45.991908709551296,43.13457250941083,46.51084748378044,46.56056536610023,44.64299445127945,45.183552283108966,44.04843850827105,45.4602023089274,46.85993412964736,42.703636493098884,44.80722448911288,43.11585486019292,41.62723555812111,44.89545378720654,42.89541417604488,39.08527805880941,41.00319113642804,43.5275053889937,39.13436377356789,36.79742184223745,41.11733731324217,42.104128924234466,36.32578259607587,37.76654094818009,40.5533772988151,37.11497313557303,34.51127714368508,38.74697548322035,39.20370582946233,43.6815775521482,44.484869846399725,44.58848843408012,47.569732279345814,52.27062695381219,55.43131558355584,57.379213928632765,57.47920632654839,55.87336487772847,57.78666027790236,54.73420324663335,58.811745760913055,58.34335845080188,52.142542766940835,54.22983901523125,57.83257952770597,54.04495283315141,51.376193334271136,54.120257533539444,54.81589220706827,50.79277110321007,48.44247731654139,46.3452626932682,47.47406290528058,50.632614635496296,50.049436556672475,51.10987437025707,53.550471661543405,50.05543215700709,47.19538938511255,49.43604198382507,48.794008217015325,44.05341715392963,44.3346593415581,45.68871447642531,43.07975692699519,41.20801520252501,46.04422926828317,45.49396439659843,40.99412686065958,43.6787303254093,47.6803465564018,47.29299362943617,50.04997898298412,48.90804427768554,52.88488974429516,51.76239119639353,46.426721067204696,49.846294177242626,51.76288879560443,48.671521682174415,47.035462864382325,52.979213367356806,52.02271056753363,46.80868716386511,48.81666187226321,53.681248283494845,51.76597019415532,47.823533928482505,43.117581346373775,46.59163150163859,42.382378923738635,43.735937341734115,38.30611664059777,38.43704200940847,33.9523896735499,33.30730287513616,35.05007197158314,37.97603759382292,37.994095872628144,40.00596705681022,35.42221848545432,37.81957072116171,32.920837016553754,33.235861715393625,36.31535279534552,38.678260735182015,37.160580882258344,32.76666128994768,34.57836299580653,35.36089848572808,30.438248739470236,29.375686688578863,33.26399845089417,32.70125614913465,30.7419599329394,30.753198817416024,31.93112834546283],[26.618088511286977,26.94592936137513,29.031923328729775,24.43430121122153,28.08839619656289,24.55892114967307,24.200404328021513,26.382281147260382,22.087975672626527,21.739992331575845,21.58410225103847,24.91206215794021,25.999144640052627,21.687381532097135,25.07753459918513,28.20785638437457,27.499656635650943,30.106818893295294,31.41402846510068,35.45764359205349,37.53048670920512,42.179241497436124,41.94047407476255,41.609403104086375,40.152339104307444,35.6637286699665,35.27539260609023,31.61939343176929,32.105152615233585,32.45086312643011,31.93806607988846,33.943490715820396,35.868587319506766,38.78372319943289,38.2028106671821,36.50901900138361,37.61187303299365,38.05802900188209,38.814392211369714,45.177099120318864,42.217374997343974,40.74654080491307,45.23135261099988,45.63650549059532,46.725227322839935,47.339978990636844,51.01240856952036,50.048873829460945,47.93821715860905,52.63500667633003,53.51483594499219,54.004717527777395,54.62255970779153,49.37381863344148,53.50123017623593,55.076876811240666,50.80137677772144,49.4248814222432,53.80091082936353,53.66825152571954,48.503068798150416,48.49952740085636,46.00216513634321,46.371210301809676,45.458439297045935,42.53476051970942,37.659905277932786,34.96501912197366,30.95040544155826,28.10278964648909,26.489739830563586,26.590207148198523,29.641229454049846,33.769996622079844,34.60999784906493,40.57033366590601,41.422274062894616,44.1119124100497,44.5991240462512,46.843119836418225,46.238060356802706,47.277725628921814,45.92795840601902,47.533448328087616,44.56888152198924,42.04775125687609,42.18303478623115,42.60512104517695,40.3750771367363,42.171959492120756,38.4754879207218,39.56617842069103,36.06247493024407,34.71528815606305,30.731340545749596,29.289059848909773,25.75724718588556,30.903936924635644,30.022541613990064,32.973701674645206,35.165995279375785,36.96152229952035,38.489818434140886,39.030389674039085,43.14522817739637,39.69938644921335,43.44152366320315,43.40875653911358,40.05593787539992,38.91009139246003,34.31706538896816,33.00448145306524,28.39890519555689,28.427552926165568,25.725614593787114,25.73280114614956,27.071422141073025,27.575361420320395,28.79894141651995,27.084945418005077,23.86140700555761,22.30830433326551,21.99315194150903,22.328758612552534,22.546385096529058,27.159645656581056,28.81759545969694,32.15158487173012,35.75272251714577,39.41730217358748,40.47773883979127,44.80203180831877,44.70113042070596,44.538174311714904,40.72759106168556,36.23065038481337,35.81126893084947,32.5885756419484,29.758580772849264,31.309041093045327,31.112636295656948,34.74708351732299,32.87511631570128,32.18476542413883,35.05598357064066,33.198363818282566,31.05319670537873,30.622034878224348,31.75941886701512,28.689772525548552,31.610745799961805,29.057897006431812,33.77916201165464,31.543102716034944,31.069831813172012,32.84702239817907,30.901944938818946,33.74176455961975,33.08486547337006,35.593325154503084,35.40354582167167,36.07985329439784,35.12471220769475,39.340110032081235,40.85486327220967,38.60910987220383,42.3562492170566,43.96960936127902,42.25315575609964,38.2847730162719,39.056735803833945,36.29432556441055,39.485325396309015,40.28377101480655,40.37672699377048,41.27145837334148,38.17290669693482,43.72106287278461,43.68063003308955,45.58926627971541,44.441253181478686,41.97202849465419,46.7350933524775,49.15884207055534,46.072963500790344,47.6190606442763,45.30471408749998,49.80533982446836,47.32323135995675,50.392171100562116,50.28765280613572,48.07536089913261,48.30870911117164,46.82762510815308,47.910829923680765,48.962463154284926,44.53163235387527,46.20093463486394,44.07640675622981,42.36915365840344,45.15900796169086,42.88161021563896,39.27342191403437,41.01168107249652,43.070726021147244,38.50677463336872,36.44435595285855,40.37281725178766,40.85080525889569,35.08136421515294,36.45966983155889,38.83812606504722,35.1609632474321,32.68554739399323,36.772861009805,37.716494371262435,41.80569205004962,43.468429246313114,43.576976150541576,46.208146836754715,51.1840668401329,53.934000948238975,56.31485769444764,56.45259589013362,55.20274295324591,57.28544808101717,54.46950288083466,58.783407728287656,58.1777081387089,52.14441042958426,54.52211567413631,58.24888930916011,54.43535331274459,51.99644042598222,55.070552863697934,55.69128104488011,51.56226152178315,49.730034782915126,47.05808949326917,48.30862774586266,51.221884137599915,50.0930883535258,51.13508426476096,53.11259146337673,49.8330944190357,47.10512116614294,48.71287436672178,47.94360138799676,43.42897343209314,43.46906464973417,44.2993491255158,41.533836099996954,39.75860978251242,44.374594153091984,43.43306739347401,38.80112787370952,41.65596624085315,45.59751053444358,45.58330716837388,48.59500368503886,47.87592831660526,51.96608624088536,50.511436942581895,45.454501553143,49.280709944495904,51.04988486691904,47.8915165936058,46.80849165172428,52.76818000061483,51.605608741346494,46.61662873288313,49.08278419672601,53.770639655896176,51.713831626918655,47.90664367304038,43.113551448618765,46.65492702383219,42.359826149610875,43.105248244276424,37.75911599368332,37.84844278983889,33.152688237246444,32.863466612811806,35.05397186346208,38.26736100236541,38.61365043883852,40.31609132954607,35.94384157831665,38.589158352081206,33.78405225256049,33.20801340926521,36.216220406549034,38.08312833151581,36.570798546662544,32.38068774920937,33.52024327924631,33.908992828445506,29.5217108808899,28.025266134040606,31.317097494323917,30.518880432914724,28.420891493809428,28.455157103181236,29.728285971691076],[25.383019516167025,25.213089627092824,27.030698221751454,21.892391219464777,25.633728071685045,23.42870966703633,23.26671241989782,26.339654602598415,22.650168639342663,22.06787869605153,22.86308225392299,26.58823160825249,26.6297499850442,22.386423357298064,26.544155292934875,29.337564488696856,27.713825768018133,30.519477661745977,31.24152110694051,35.28012655879514,37.23199161307969,41.70970341415574,41.28796560558821,40.42842399775255,38.9972300785437,34.62543615584609,34.29038315223088,30.81251926560622,32.05958634786842,32.884239214217544,33.38952828300861,35.248436794155225,37.8037665920489,40.60063573548102,39.40120336808504,37.2033202478103,38.09195002065963,37.761702787538134,37.9648736268926,44.205233657944106,40.7497455388615,39.938487335934134,44.48380306269976,44.33641742658192,45.253330481690284,45.39354197012021,49.18739433718308,48.56756035196902,46.01716931566654,50.585702021116255,51.97740738259763,52.49326223013921,53.486214561840185,48.29506875724279,52.96986130208031,54.41691393545193,50.06668398878761,49.24939064095559,53.73556926455802,53.15577594558597,48.22557623448409,48.84719775862266,46.741012835398685,46.95164971319784,45.518879984035266,42.713694672078894,38.011118945463096,35.66534861995384,31.515810795991843,29.291917128663332,27.413655424078097,27.99791831514957,31.291140556113568,34.945010394376006,36.022178473164466,42.22164187616613,42.4565268775818,45.577624830495544,45.569815937663826,47.30852899700822,46.64842035679423,47.062213708041675,45.89957307220396,46.925859917698396,43.63061670774238,41.69007299511443,42.06256230179295,43.11122450262461,40.966906528983415,43.5755701333265,40.00429180543087,41.61226701781497,38.28563386683928,37.07862103659967,32.843510396417656,32.040282835724156,28.194747056497036,33.08403663057875,31.95595675045128,35.05995296063138,36.612296236534604,37.90299275986242,39.04955385652203,39.06678468947768,42.488483098322874,38.79287788692444,42.396245286280994,41.790683534270826,38.36375338065161,37.806679625789975,33.06682649036681,31.76414783543685,27.469765287715518,26.948800050286767,24.844222667654456,24.130666854069094,25.93250141433277,25.66159024126119,27.717388217299767,26.768132399154016,23.24159559262655,21.73909736523874,20.170815904686933,20.596871927431156,21.02581515957173,24.956552177550844,27.069132122071164,30.141222872587786,33.69417724528602,37.61201294630226,37.95995231927704,42.47843447659388,42.14953789767696,42.61954967314592,38.267069640169574,33.89393317291253,32.74415861509256,29.637011339001905,26.69686782635019,28.725992899389404,28.069264357782796,32.084710367206775,30.87046840369413,30.215994905884443,33.4584738690169,32.25320110880395,29.839528250572474,29.979220611567897,31.114113773189157,28.486308432783446,31.537655357075813,29.82836587628892,34.80692059401564,33.35178202786655,33.09021821313645,34.28996355523932,31.941423809900716,34.192796450134495,33.45811591397001,35.114168371720424,34.17322987581896,35.2592776992097,33.34746728880991,37.845971148277584,38.58792501588377,35.62710629194798,39.398812158377936,40.514209942373256,38.68544179642596,34.84605014260683,36.00064028873439,33.62441962088867,37.38539152183437,38.71647236376439,39.368455517005664,40.72191924213134,38.10448456073895,43.75639480759864,43.11297128056241,44.85885187411901,43.00386995743086,40.66333703277513,44.95474358105887,47.08344010260943,43.910798153515174,45.709920836679814,43.6414286262968,47.750287351834714,44.872063141213054,47.82527141180513,47.40843747882849,45.414685672502,45.33526089850335,43.85549306480692,44.98171814150788,45.91511002785768,41.507428164982684,43.4090885342179,41.24044060261429,40.09780117753398,42.882077680858394,41.14684712153303,37.33004743851329,38.562968209464344,41.06101809083466,36.771071022413246,33.879600038291116,38.023502194482354,39.29438147985028,33.25029125576234,34.22872669314293,37.001393070500605,33.810444561485646,30.70794518447875,34.603658957054726,35.11393060422151,39.62896689211947,40.32026529176744,40.839627348383885,43.80790309596381,48.63855230553194,51.63423530282951,53.8545662051186,54.365515922058854,53.047446284064875,55.29374494988211,52.632799114893025,56.69108054293625,55.7864663732396,49.70644920228253,52.21017495225728,55.54392472306952,51.50474878955372,49.18876002161823,52.22398551830916,52.37338283794374,48.19003120562235,46.56114818849266,44.151573145740855,46.01892709317793,49.04545850251056,48.22741875002937,49.71309120625239,52.04134897830404,48.977734387413754,45.77418500899225,47.59984263946042,47.36895668914008,42.6847317261102,42.329412665411944,43.68250747778483,41.170323315658734,38.85737123158956,43.472415576890924,42.991679602092155,38.33132812121142,40.5918278190713,44.58052732505067,44.132875421740955,47.19509167840193,46.418353177316,50.266558418811854,48.652755954332264,43.41794845784225,47.14405462663373,48.61816678689768,45.341282713980306,44.09156872902043,49.9521004057861,48.494975285367474,43.38998035084757,45.828028475140975,50.39650579229589,48.093111617068296,44.20057380898703,39.406447113629845,42.576756476144254,38.18183489272145,39.3913524635486,34.08504047213748,34.68128953805994,30.310665979545956,29.280392908855962,31.382885409775344,34.28504645057064,34.82366015190609,37.069843679798524,33.025455710857706,35.990796987926544,31.398453460801804,31.23801353970344,34.96649292344325,37.06726363121941,36.136850924591016,31.412271043292204,32.461755129408076,33.63473218371248,29.296139980222016,27.14352427934983,30.821961732721366,30.861607013097295,29.203457923600812,29.70337042214599,31.229238284883817],[23.673382852229473,24.04408406883682,26.714953253015256,22.06067166410581,26.88804941827155,24.971727084795504,25.856273696436414,29.198443633160615,26.04530721158762,26.378921323694,27.51753490319936,30.89731848019244,31.35976101049787,27.528290034832978,31.923880134449227,34.585878762983214,33.06417670939682,36.23371001565726,37.140412667810196,41.012521192139594,43.11930967326189,47.49765968558342,47.14262278986251,46.119673095614,44.56692854065434,40.26284158752159,39.69913535223667,36.16141557120675,37.46069043605052,38.030542031290594,39.00737749459208,40.34332248090202,42.99814913690346,46.10567907221983,44.79045147815281,42.72524738298526,43.200851296588034,43.04566372260333,43.03666282697058,49.16274805582156,45.811232234449896,45.40878212895126,49.94895267585851,49.617639221616315,50.62113700939899,50.522647757171164,54.370380448471,53.80516729723593,50.93950857366193,55.35894087870459,56.96694736361591,57.31034267829579,58.50067538281997,53.332213968278175,58.148818016726324,59.781680192583444,55.502923651130494,54.760685273554394,59.34892912481424,58.79603378986458,53.988649978347276,54.79366986360812,52.69482769479342,53.0712535992185,51.50257717677114,48.591484944498426,44.08634443318495,41.66058044418276,37.648970714284836,35.370297074726224,33.61365515197835,34.308672263274744,37.50890133167485,41.20183810501703,42.099637178539155,48.341169406061184,48.42736134189928,51.47760420304996,51.326296587535,52.97506211254887,52.01340482078416,52.20157523257726,50.72087904774197,51.55093120528421,48.28961127675746,46.610738919966664,47.38704998363641,48.35401283783917,46.601648103562866,49.21652373227884,45.81929150849299,47.56880386532736,44.12120889444755,42.66555983028178,38.311108229774185,37.48136636782576,33.525159706137956,38.06715398181082,36.53364280634458,38.99284438235298,41.076120384666645,41.6686812013385,43.315430726137016,42.652501418256676,46.00531847133088,41.89096134421639,45.07211128574903,44.15907113962442,40.352043999811066,40.17700207426074,35.3373467108365,34.836209389811785,30.72746036579593,30.631748073448616,29.331656161427787,28.715041436207265,31.075322595730917,30.732327217296607,33.41800921262286,32.486536458021256,28.940356864920112,27.133822141702822,25.101728348911557,24.984174156225762,24.727489629556022,28.20001132662278,29.396979219437576,32.76786926379211,35.989400146206414,40.350747522907554,40.05938316131617,44.639547887854036,44.69344595596131,45.55239226277832,41.13846679939326,36.93908919337001,34.977975107600905,32.60950305887341,30.08191629846794,32.68191767806964,32.29462083445114,36.70564623230865,35.844730568538,34.912120474014436,38.32300065955781,37.17729217851018,34.50022148366978,34.45213138004159,35.08700489496123,32.23359482337023,34.69165963598263,32.98944155538528,37.71342729190908,35.89725406228611,36.3856000683939,37.87215395320569,35.897903898892245,37.807389628229714,37.703549345035796,38.79553709701261,38.0875876399914,39.824826813615026,37.676976711217044,42.33991460995545,42.61236325121985,39.27979826526834,42.719066107876124,43.56389418063987,41.27366398744658,37.73909718032781,38.94712588388981,37.05831584353219,41.13790207442247,42.671331377662625,43.59251327608788,44.83784167694024,42.59151677167893,48.143573921423155,47.57360147232734,48.995471621328434,47.03252401434302,44.22605432312502,48.38452522768253,50.49868590225054,47.48103521046697,49.841617056762374,48.17408276236178,52.093712265984976,49.247081157529735,51.83636671062881,51.045257223498865,48.999536246184206,48.383366319805326,46.599150595578614,47.41741425854645,47.86571560976781,43.264969310538106,44.86740055828491,42.19730033198062,41.36540711011925,43.51591477129881,41.99772503948598,38.313754467431515,38.79429637076535,41.08504658045717,36.9467428520712,33.63322451175001,37.36543983432323,38.752899326691306,32.57921460238808,32.98536033265606,35.5316961788853,32.61342424688062,29.065469503826417,32.37365304356078,33.11487924835179,37.44797257284224,38.264346967917966,39.292043560663124,42.08662960246018,47.08286190929263,49.72096359409879,52.36625850904349,53.340514086768025,52.449515150045265,55.062003093656095,52.89027512520366,56.94514875496925,55.57375507045326,49.7387276615904,52.69847196129938,55.74900712180932,51.494505851066805,49.62531303517175,52.977488246037666,52.548851732128334,48.23502966185066,47.47464702614168,44.68218192324768,47.26590298923355,50.06592963709907,48.899663798119036,50.757283092979776,52.81735262134244,50.246933365296556,46.82275193091446,48.04431846366131,48.155052445719356,43.674739140620915,42.65957068126285,43.809548599256956,41.37985416249434,38.72503363110641,42.94831141479472,42.39664230741765,37.61614899899576,39.45145095242991,43.33272872888483,42.9674359369077,46.396324468165474,46.147251608848926,49.84471859872776,47.63136375566337,42.67500048867614,46.78593887394897,47.722770597659164,44.26929203912895,43.61766076059342,49.30056337378275,47.24510653608994,42.401185212226174,45.388935712177684,49.51775964659876,46.75528377997207,43.011152419986445,38.181831737285606,40.915961888444635,36.341680887908105,37.2117846976523,32.20888370831362,33.37966883132139,29.223409796394584,27.837191522180234,30.429180895406787,33.26522302426461,34.48174342714035,36.87731201818415,33.57390602105055,37.076853290527346,32.93541151474652,32.11045114514141,36.307891632987314,37.96821222564618,37.58422799240815,32.772279533622076,32.86703257440683,34.23356499952295,30.74441841904976,27.536324483642424,30.639152386902015,31.162509192004304,29.785896739825265,30.685300110695117,32.46114490183001],[21.684593549017013,21.30616377521221,23.24945623220429,18.11746264290321,22.494397800156566,21.381179499366578,22.068901414915434,25.81944321719395,23.0721356195264,23.13022416404975,24.81953372071368,28.37117105898812,28.11941573134031,24.502957587587346,29.265368748441333,31.61817317254302,29.63672167486397,32.97806919252978,33.76818978893461,37.43869839156718,39.6282447940717,43.82824341755162,43.55443512885311,42.355346475441436,40.62786654126143,36.428213504234215,35.69203310180924,32.22358108883032,33.82651959445162,34.56200172394369,36.241883170244,37.34803952518846,40.39757227680263,43.43863828080007,41.70931365626016,39.41793884190145,39.66756799888797,39.17291809582195,38.87648241446562,44.86459089192149,41.44967449643954,41.423260011240735,45.93625218041707,45.38665346089006,46.458903877604186,46.199331324018765,50.078047464035535,49.51688683985225,46.440645349072526,50.75775001252784,52.50345924010795,52.77164766087462,54.11455514623516,48.99777717503357,54.014215037307146,55.67279587994212,51.4394791790802,50.91723305754378,55.569832924288306,54.90931281955838,50.28596350960695,51.44457503380169,49.53057745384606,50.02138923772269,48.13175813057679,45.16986448163986,40.981504457678035,38.639548059403225,34.788995668110694,32.79717392200291,31.095703826631542,32.294580111289086,35.34923322565363,38.765607994120685,39.529965539975564,45.88631025479185,45.46681331871591,48.68578009205619,48.16550438045774,49.494148261717626,48.399101161548806,48.22610340359963,46.79205671448788,47.31569439967717,43.94422245107917,42.57581634724393,43.553613040564606,44.79800569878098,43.23411108277791,46.283862544791525,43.082616949088425,45.25101887484676,41.902745430252814,40.465222601339285,35.96192724336565,35.62545424137203,31.487526912314532,35.70517513812225,34.02790288312627,36.63478775415431,38.15513895709562,38.484124261020554,39.798834510989025,38.90263964396208,41.8238893600128,37.683310434221355,40.841218534627735,39.69947756873204,35.98520033346229,36.03984146797789,31.20612546232238,30.548670070515254,26.671754493419165,26.24517820450758,25.299431782245392,24.39914936221036,27.037411256363853,26.474771884925207,29.728559722561013,29.007852086377653,25.4388443987952,23.539534541093396,20.933978722582843,20.69728306793365,20.49913717970948,23.54481118027443,25.074355369107913,28.18380701748355,31.40186194041069,35.75502910713346,35.26186422702247,39.88406947299242,39.77362563645246,40.830326640028055,36.23498933067152,32.104418672935054,29.978532425051135,27.607640229346835,25.09676535410873,27.85776437880442,27.51773501850799,32.10095158417959,31.453535245670217,30.399774725445724,33.91677494782497,33.017778805439995,30.221067850325426,30.408765753564694,31.02483797660537,28.50706062847277,31.085752138632742,29.98438824032055,34.85560022216081,33.77741857767612,34.17604272686248,35.13540324532831,32.85206223929934,34.38936175247301,34.16324491296998,34.78401513380802,33.68003198417039,35.611493858162575,33.08323100511377,37.81707678593939,37.78102778126008,34.2742858102001,37.65686892376898,38.416582425092294,36.0975361283144,32.59617347657001,33.8699447224872,32.1041042810253,36.33795942122565,38.06125908434456,39.22146845792157,40.67620535685211,38.71158043367032,44.25487342762559,43.37791640730374,44.701798122857234,42.43825640641944,39.72424324282599,43.65063652489965,45.640487529555884,42.60858068920078,45.072387257837924,43.55898109926195,47.32277882963004,44.45011639119066,46.90478005155868,46.0071212710786,43.99181711415121,43.28493327548151,41.51555417309815,42.37245066202363,42.86120352902369,38.32386817636538,40.08631733436997,37.56370758267692,36.90404771452095,39.27119313668618,37.98070499965852,34.155667572389795,34.653179414247234,37.27312274822793,33.26823578782854,29.682496980276493,33.71801534186528,35.533694979469004,29.317798313692375,29.777160874882014,32.69638059734079,29.993875558212025,26.328413099844127,29.8458521763531,30.136807484912033,34.83071549249547,34.97530519299696,35.90739574865884,38.99369296245013,43.7793370262377,46.78056658201163,49.05115113502072,49.96704805394045,48.80541426486192,51.31411981462966,49.005374001334495,52.90481951622986,51.595844922095914,45.63973164908442,48.455355610638144,51.42452390798547,47.16817239219513,45.1718785000366,48.377783731280196,47.97971129787038,43.703471096741595,42.701478040857836,40.161063583173416,42.76947662123777,45.693277697117786,44.83563806796785,46.78779195896534,49.16060100304322,46.53550310950845,42.93108449391177,44.54085816052458,44.848359513705056,40.20554396248856,39.236471138211236,40.830744222647645,38.56572685851545,35.73724051400555,40.12673770847863,39.95514216736079,35.28631567770203,36.913357454606775,40.855319954881,40.13899257785073,43.36087150932161,42.78834919681422,46.38989983811873,44.419943758844276,39.22617890529845,43.05263380187293,44.09930685748166,40.69092755681157,39.63541947175063,45.33928727018507,43.463450572745735,38.431270251102596,41.12476287175459,45.413385362592365,42.79575813366655,38.93942034216471,34.13318123968683,36.976517536043445,32.473165017166146,33.73366892944442,28.563160658179736,29.643425449093858,25.582074566939596,23.99463151390401,26.267911519991603,29.00495566226911,29.97250706487438,32.526077846097365,29.093411202503884,32.54121646157799,28.40600622020817,28.049429577286883,32.457857297225694,34.42165018081036,34.21145172910408,29.154344624938716,29.588675255475522,31.40002927547672,27.651828367689447,24.509136380892674,28.115768595339823,29.022089915704747,27.894410806534005,28.961870716431385,30.794060220927516],[24.381270925132412,23.84018536905515,25.65366032234912,20.541926800292728,24.794332843088352,24.758254702923768,25.55260620472758,29.602460631120366,27.209657476144876,27.043698290825397,28.968144447298247,32.63692993403463,31.893966818033597,28.29969911896571,33.1364052605744,35.35900203905537,32.939831313360685,36.102858767845746,36.33705081011656,40.04523163353519,41.93909394057343,45.99235230889142,45.4549252423993,43.89304751927467,42.407651976743615,38.3956035699419,37.92200359801957,34.75814542703856,36.82502955346754,37.93523533497001,39.86756961136885,41.114045027961,44.34279778776126,47.17870735485648,45.250049850666976,42.67234738056468,42.974953928303314,41.925019695903785,41.31749216202844,47.121135015116735,43.28239122695424,43.60847467674914,48.080954253787674,47.14706441742359,47.930161358460325,47.310382430889405,51.194570113357685,51.024208095578125,47.75159559581018,51.921886845190095,54.0717406334029,54.45752948578596,56.039643979636686,51.045928925719,56.37998306616184,57.80416349689627,53.51669727054985,53.42140768761381,58.032129862809306,56.98262645497207,52.528382571779204,54.000093978703546,52.3754420248954,52.57027168974459,50.46701890863731,47.7589746631079,43.56798673865,41.59123745824926,37.588534626267545,36.04131938899235,34.103749970665085,35.26143350929006,38.55939747250091,41.64785521890184,42.76001388220457,49.09832326079636,48.52528142127269,51.988201515500876,51.31435012696947,52.377253512150816,51.4223247318261,50.93099840847461,49.764413529464385,49.933539155147066,46.362870866010034,45.36439875793297,46.319600257188974,47.983535460118325,46.304113909693676,49.74550563888947,46.53332305354496,48.78005316458848,45.61077237661317,44.380806459467166,39.905685911582516,39.74965101388584,35.63292725387591,39.85583825104359,38.22678256747865,40.95839230556951,42.13584357754448,42.34335286304882,43.370820508679046,42.30021108453515,44.73347990096059,40.554892678956556,43.56500702912613,42.032049244838355,38.35994571712777,38.84839492897445,34.06288797555876,33.40686559652357,29.885739819031087,29.046608308243613,28.407012122432224,26.998711250563375,29.63965869002691,28.452859244942893,31.860523275384097,31.792744764411836,28.18889701776835,26.61432770678421,23.469621322553976,23.51076760541919,23.621937567808665,25.975862522698105,27.835127721469643,30.575524680075624,33.63036259316924,38.02929465547969,36.9574936314346,41.62668638058137,41.290628281107985,42.85953668058061,37.907210121947564,34.01487815665816,31.319967254611257,29.117384043885103,26.56152265530848,29.54073783471329,28.583684137103923,33.18766105240238,33.128811775590655,32.310003744434795,35.959660678174416,35.619768219411284,32.81517963538059,33.46184228308587,34.16099260950023,32.03186317186168,34.65413166560562,33.99808099426133,38.87616221511436,38.11686998222372,38.567027817870645,39.28677753480062,36.839926005057386,38.108548727648255,37.75711711458884,37.955825473448726,36.32794947881206,38.348984502919,35.20134813597059,39.97734140723205,39.370676772827856,35.31891498707542,38.70352395872162,38.912994150472905,36.61466247924895,33.341180532786204,35.002759984231375,33.62885137263458,38.20352592307426,40.301513154461084,41.81498098101385,43.58907680875112,41.89812325581374,47.42269997258392,46.14430783930996,47.40263865552872,44.661723465458856,42.2013711384645,45.67389991529149,47.362937101527,44.286414946915855,46.793881767178284,45.405686297096906,48.77540035338373,45.52406355673419,47.94837027243532,46.84358392303184,45.1323551166168,44.22385010317073,42.54586458989892,43.46185057684566,43.84622015126082,39.44486412400212,41.389737126120195,38.86145647087107,38.75279175402282,41.000522407466946,40.20332307623969,36.33426057806648,36.306437869871495,39.19001781546233,35.5362301311191,31.32294418889477,35.32849879828493,37.739620008269846,31.494133706874162,31.482632660594927,34.55616793152789,32.36796888201083,28.26868569769709,31.309179413802582,31.292178446588714,36.14946565523669,35.45234650746489,36.90154437449009,40.164261697585694,44.77571655589087,47.82854809942663,50.048533765379595,51.37524162211594,50.266570966177056,52.93643958997782,50.85866358889805,54.49723144623727,52.889224883035766,47.021283250023735,49.95906967155426,52.50337319796908,48.072326609233606,46.28243835511781,49.425464195394085,48.51578284092434,44.23825994120821,43.54973896148928,41.289745915056095,44.46128887389175,47.40897749788994,46.788328202788406,49.08132178057131,51.63953758869531,49.24872567205286,45.36112738437327,47.0254323342287,47.722995441502,43.08580169595612,41.794621109045295,43.66112882338146,41.60909875629989,38.462864660860085,42.67219700949685,42.77139123904002,38.16715120808227,39.28667339113832,43.14452569058982,42.16904962865555,45.44720728350996,44.950360799870424,48.27987299882268,46.098175567064516,40.93161934786463,44.67216583266463,45.346228064540995,41.8618532859409,40.80457062841788,46.273445849983865,44.02368147523692,39.034514019309256,41.75340796621009,45.7605113522976,42.82577959447197,38.980743203851524,34.272319916033695,36.500123047129925,31.91730115453653,33.59703241193682,28.71854365670138,30.47655430389598,26.95927535782802,24.573877253753245,26.773258775773378,29.017441929553573,30.32783070299446,33.41997240965349,30.548064774918224,34.22124506655537,30.465545352511334,30.419425514635904,35.23738968631551,37.25880514952652,37.46718037503238,32.23994607653491,32.49259518046756,34.73760366365159,31.234570830721676,27.736341695224823,31.312209229967326,32.69225973690391,31.821615362476923,33.064513294771594,34.95574398165121],[21.86636311232527,21.249260361140756,23.150977442155874,18.402141479812148,22.991586012902655,23.511513399391852,24.877315896878553,29.103769615732826,27.312806411193616,27.65221019555911,29.943849469946517,33.35610369290233,32.66237979280771,29.536956817441695,34.57278760351963,36.54850171948809,34.14237210024714,37.64155705982409,38.137517019738496,41.542636709160206,43.67808264120559,47.55947364715931,47.226134359645954,45.60105642497674,43.8482605821414,39.94196204991348,39.1133382645141,35.90153390518029,37.970745752700466,38.851486236778825,41.38095224882672,42.08409205868233,45.50627810113045,48.554303085247376,46.39370331907467,43.9069858628936,43.767375521552324,42.8475092709477,42.03414892327548,47.64531148267743,44.05440702681955,44.77817362015606,49.18623836234468,48.134145743447355,49.12410910739711,48.36712566689204,52.263390683583495,51.98893018327141,48.45351549597757,52.44824832462136,54.67832792113573,54.83614914354543,56.56419134288205,51.6311413538793,57.0247034043223,58.6783968066446,54.53426558788227,54.47376412789464,59.17475483998028,58.2306418153002,53.95853150682429,55.649770067504306,54.04668224941067,54.536679223462954,52.24379165045684,49.35953532760843,45.53729189250622,43.43682132186752,39.72350693524888,38.14573382266141,36.429482384217046,37.9287156375161,40.96382023299092,44.027668372773725,44.80082492400645,51.19322595261392,50.28154539658648,53.678474917112574,52.744344800887774,53.63680823267588,52.34425896876612,51.58414048487319,50.13543846984061,50.089002453964696,46.58754341919969,45.86211955033994,47.22773384797716,48.83437120718725,47.60290701902081,51.132792106807244,48.186534484861824,50.72703530062263,47.49043376421666,46.0422550528532,41.441060507567435,41.478282040237474,37.23452609693544,41.00202066353504,39.03799641400612,41.347229732871746,42.63760244918977,42.23989148187564,43.48786808584607,41.858359738381125,44.0721299961227,39.65095842532369,42.308364276066044,40.524587692854205,36.67886913963914,37.49016353595837,32.74334555061233,32.61577787576965,29.3999531607421,28.818647038783247,28.892414042240343,27.608621623081635,30.697356078501706,29.597815733476974,33.60709315995932,33.42284809039897,29.899032614812633,28.014557451818582,24.586476408328245,24.102658127528827,23.674751652132503,25.49443389037175,26.685797277476503,29.473601174300292,32.20589910276434,36.82310830797492,35.29110640649244,39.92992888572484,39.86648552123149,41.69589196895206,36.7830183020186,33.10368567780156,29.88052617470138,28.32058654382341,26.235227254607107,29.574731352812574,29.106071350282527,33.9646832874126,34.08795971666755,32.928605273003214,36.62337874592158,36.28798376452905,33.29896938024978,33.783526221684085,34.06982761352042,31.930101249656282,34.1154693361444,33.72520105610481,38.395345755895704,37.76797343084785,38.64341019697272,39.297193030066516,37.01968318990545,37.88109111120365,37.94278621670268,37.57697437059316,36.07476151972648,38.61976114137161,35.34337370210394,40.1639391524996,39.20773757860596,35.02631430215713,38.020431638886556,38.13009313908079,35.463975129263225,32.480901646055415,34.0619108000052,33.08092402024167,37.781094144906476,39.990564391420456,41.714444513144464,43.40519308875728,42.099582450422105,47.46750864810831,46.20080428000509,47.15966929517199,44.34335112790728,41.5472460784366,44.8482087160226,46.51504225939694,43.61500647927469,46.577396699112015,45.57751738172348,48.789092717259784,45.73180895643441,47.751828181170296,46.36030230692115,44.548481732280564,43.2255316942197,41.30443388647012,41.95713026028049,41.99215545526964,37.50699766002821,39.22562289733148,36.426788283484555,36.555047617802046,38.423629938069865,37.85358337024183,34.086836284041716,33.57708916959573,36.40850072098548,32.97052552506144,28.45006455157484,32.24496322197551,34.889733888681555,28.665779260740347,28.305068749552355,31.37228950713584,29.52538549970851,25.171517922068706,27.873216912859817,27.752805731895002,32.6171901846136,31.686296916908333,33.36919350487173,36.624417556948885,41.20358157904593,44.197876799450405,46.48336987701905,48.02541218336927,47.06251832446833,49.88729577919974,48.06611242555143,51.62491933253439,49.777327803012106,44.06080002984016,47.20282741935473,49.54820459346478,45.028813012012925,43.48305099890486,46.77041136015679,45.54991240990128,41.231298472233355,41.02968624669211,38.58055384459935,42.16555735080292,44.9676255232249,44.22614543110269,46.76094806017198,49.24393741428937,47.16814363381048,43.11556426621418,44.53488640190884,45.5259823023089,41.00759487428178,39.33602794157594,41.25773181980919,39.371125720781976,35.97545090366016,39.956205335862045,40.20804870453356,35.667438439594505,36.38871156351942,40.15740464293236,39.06311929685744,42.424122567443376,42.10435392141192,45.26800261308118,42.85634347095567,37.80506130786141,41.622134478396326,42.01811935040877,38.47866012155155,37.6383285014673,42.96847953058863,40.462849282266255,35.598590907002276,38.531487233009045,42.31484554201872,39.201629890034,35.43131168819149,30.737210295549325,32.78485566529307,28.156426651863875,29.726593300108053,24.987504747715526,27.029454742506147,23.76903059910707,21.10140975227855,23.455627122416008,25.614095448639027,27.255297699645,30.411508570747337,28.031448187496206,31.966738303521723,28.61007238743785,28.275431214318427,33.37064793858072,35.19028473490544,35.828977220029444,30.563072821495872,30.340693889653767,32.877120353958425,29.895552659838536,25.868919497235165,29.213360267233007,31.072360101982557,30.54553586880008,32.1019762887078,34.11411358273735],[21.02146784661014,19.679655995322708,20.68314407622823,15.538346493339896,19.372492075584432,20.677524557557746,21.720756044173214,26.148012519776856,24.730310597603957,24.776235341829196,27.414238789981,30.86253908238413,29.596598534804663,26.747358758365582,31.896195336110733,33.57949487996354,30.872664472554824,34.43052217776658,34.86087154915205,38.03007366570357,40.227711760726024,43.92797121793011,43.69777192499652,41.99406383148257,40.0842963426158,36.3005549050046,35.313057334124686,32.19709385994025,34.45112599111158,35.441710533033394,38.4597122633536,38.9840232974445,42.646415311289545,45.59163114007113,43.15221357542377,40.531775136549776,40.22643069079894,39.065195682402134,38.050831065612144,43.50852964040773,39.932313422982766,40.91991746765493,45.262957617060145,44.08837822846554,45.16247287571333,44.32812750008483,48.22720425172591,47.90243453293231,44.243020161605585,48.160422229239174,50.43325878664868,50.52433760483067,52.3301142643747,47.45317000362813,52.93676746397654,54.61448309936174,50.53760003940488,50.60722596018535,55.32370667444144,54.34309188605168,50.22719992056759,52.14793043775178,50.676011330766556,51.28000937430719,48.781210783108214,45.86159703916977,42.343661616935464,40.31061282346051,36.81269178721091,35.46379542562775,33.8545810160375,35.72116881314034,38.54808060484647,41.36494133544355,41.987852012737456,48.37574637617621,47.095314150828365,50.56717252717769,49.37064440043983,50.0253681508792,48.64156870552742,47.63435867999484,46.23914317392879,45.978758991938975,42.42368822504535,41.92331155914685,43.422035207019256,45.21105203955165,44.1354377722938,47.93965187646232,45.17895656090943,48.000918127670566,44.87774539733077,43.464178817772016,38.835232457510585,39.24270695442542,34.961457774103664,38.41203812861427,36.40148473269298,38.82970284426173,39.62219445671517,39.085186240718066,40.01064168119328,38.27817201026838,40.134556601461405,35.77476462243362,38.4467019773754,36.52974110127024,32.83591185389936,33.781225000531094,29.104181212391513,28.75694863168509,25.80119787233766,24.9043500755708,25.277250388451524,23.783060375478033,27.03147124004579,25.802164308505372,30.209551306742433,30.156762849259316,26.73272057134351,24.82269958526422,21.038620817166183,20.44469028003387,20.095459623544492,21.41779176228589,22.965913880017535,25.426566774775615,28.16046664985064,32.687353042457154,31.073627924436327,35.731380272617244,35.486892867723064,37.41320021391614,32.38173363166937,28.758985728367943,25.48205402064948,23.870420119126365,21.817375988303812,25.250032430641692,24.881883200383864,29.830115668349382,30.088344101846143,28.819430751383152,32.53770264952408,32.38583846294492,29.35574558108171,30.02879065033435,30.31663513868971,28.526773622233897,30.81492155056374,30.930722642753906,35.65236441217416,35.650212299619234,36.352773695190706,36.559098767650106,34.04829971602801,34.62309934723924,34.533817075777286,33.83011243458382,32.00107504993863,34.64049413254792,31.116275921771365,35.934163236742044,34.778223364849076,30.527818940209137,33.476857020594004,33.58206824032812,30.91988283302175,27.924001635175852,29.532697676296948,28.617480161363,33.38741977611311,35.71306327223725,37.590541707081336,39.43469849536672,38.339943224678656,43.64863213912847,42.1569064846871,43.05612476104327,40.043174857227775,37.370948169742746,40.491479672276434,42.06851324364,39.1540038058625,42.14663714914078,41.247168778252,44.35724491984554,41.33245842349601,43.253248738554575,41.82217933087373,40.00915933345869,38.67666381302064,36.7907694153153,37.50808992160839,37.650695967611384,33.232699457531275,35.1303749740202,32.54435142511447,32.75209253038925,34.92212055575632,34.49301662821483,30.602703359975234,30.261532454192707,33.40074550893903,30.061790627388874,25.43233979763808,29.563441434372603,32.5051804472515,26.34816865344754,26.182600499394212,29.577108302062296,27.852601806108943,23.60610841314674,26.605882809737544,26.057086727772102,31.200250355393873,29.737217851065825,31.154155902164977,34.66555884723825,39.01523178008355,42.38045450162574,44.25003110123658,45.59429389726543,44.31395766135775,46.9561074639606,44.910640733538,48.35370883898466,46.67909816468683,40.81132238896335,43.7290404333184,46.09269075877759,41.62988106186673,39.86962229748523,42.98042443817264,41.93763144821119,37.66897129548161,37.06513935821038,34.88561731431274,38.3317454011624,41.2746873322715,40.84536742132163,43.36452974712936,46.132851744106574,43.92227011536959,39.79214766659694,41.633325926674495,42.696257802639,38.0411246862987,36.553095398749214,38.8511667915072,37.0897481604945,33.66800452728908,37.83344815149468,38.3860439276415,34.0084056105631,34.67300345611378,38.48109601821455,37.11251935672276,40.19514562757412,39.495144607693135,42.6128797781415,40.558265363199006,35.27275223730329,38.75366737218108,39.38455352857302,35.94236839662502,34.621245529778264,40.016071182185414,37.83644387233946,32.75232559304484,35.296291150841,39.34287603278937,36.49419401802658,32.587344193283336,27.916336036473012,30.23084757689392,25.732910994532205,27.709090221401457,22.738615660419573,24.489558740510557,21.284808261359043,18.555083975460125,20.44639983598175,22.54422017292856,23.768082572011917,27.02516576832649,24.365485395698478,28.143136075910956,24.74055882727362,24.948302527606458,30.097730634216504,32.22853241696671,32.91092807742136,27.531292100116335,27.760814030749025,30.587401989675918,27.3180513094607,23.608857614972873,27.394880089542838,29.42425167393495,29.052344212925256,30.632297037327362,32.61061039858424],[22.29593675330835,21.108929753374365,22.110695507469657,16.596613529180992,20.13912893330591,20.473638561401753,20.876105198196292,25.069487584623754,22.930577399867353,22.50612325768236,24.76758507371771,28.4754250143513,27.256978635065938,23.913418725145483,28.92041252076121,30.88041173751016,28.25088549760135,31.57880691692892,31.939129050722002,35.40968315570887,37.49537704398656,41.430416599601486,41.09953073467078,39.56939794628181,37.813073263766384,33.83179054866195,33.0866927589776,29.883523783106757,32.010840722923,33.12034225557103,35.52788332184222,36.52797948162451,39.98416004084698,42.80030391626646,40.618636341597444,37.978566497791725,38.079001771495015,36.957016662395525,36.2402654281907,41.98272153085799,38.289915283833,38.77394474135379,43.219149835429086,42.28388505246435,43.26550428930189,42.68750091512302,46.59208351841866,46.228120712540814,42.875915971939214,47.03647600354046,49.09375506333796,49.365441195406376,50.95163249696142,45.955410610306544,51.29164460396251,52.83549965249965,48.626122554117956,48.518224012964225,53.18125468105109,52.226431692627145,47.866037280705505,49.48806754920797,47.89759896834612,48.32831131814715,46.0600861910274,43.20544268388741,39.32721016258213,37.2786054919925,33.536618308130045,32.07716463789593,30.32385927333267,31.93943212336809,34.9400188225912,37.88868414633849,38.71255912543629,45.095836989315174,44.15564508212332,47.632987835953955,46.71552820963443,47.61510635280315,46.50160853574837,45.85066086394063,44.636630566577544,44.704992025646824,41.13312854596987,40.23652622635311,41.35065770316387,43.07203685740677,41.59981714060277,45.22575296896075,42.209239133137004,44.761620894080906,41.63571771213046,40.35814922547386,35.80840701926803,36.00943651947539,31.80708702418855,35.69411444916099,33.976796105992264,36.80012168808646,37.56489270905582,37.654012216034474,38.44561111473402,37.317111745269706,39.557974914470336,35.444128342289495,38.53039781959036,37.00151906580021,33.46473986720005,33.92939322334158,29.184750402088927,28.28500912904607,24.871978300028704,23.82625332976987,23.355476000682124,21.86997280890375,24.71308664288301,23.588126660931252,27.424164076801006,27.271085455585226,23.728953217691497,21.984120695622654,18.560075938718274,18.41269012930741,18.542340525098087,20.702999948749277,22.87612482617356,25.428987587086244,28.570801034852092,32.864857940428436,31.9351186091448,36.607461252538734,36.16758653376096,37.64397426419824,32.69254713867394,28.748290612654763,26.23769307677061,23.865250353900574,21.297095543026312,24.293418565859916,23.63710939007591,28.372974713677177,28.231208731571822,27.208745123019185,30.872167125083706,30.523149210198735,27.65134366230479,28.348024500524815,29.035542094054854,27.124560512447765,29.866937459740917,29.591011407123297,34.54552863545498,34.34059463511974,34.608094983780504,34.92916181324705,32.275208911831236,33.333740054069686,32.863395317980455,32.855567642945545,31.059758976396687,33.15190376807559,29.944566932258002,34.73624940716,34.13409899657526,30.19894605412068,33.56479334555122,33.980689306985205,31.690368701441404,28.297636543079523,29.84720154988531,28.36554611670783,32.90331483930593,34.99199126245376,36.54300795584506,38.37372608045397,36.79946833771783,42.29631962139285,40.9157664434654,42.139103192479,39.353970294526995,36.92480923729838,40.387405011894025,42.097289632450405,39.013377166517046,41.53951850901076,40.20297205507546,43.62292245418796,40.531704106115455,42.876405443210736,41.80340833452144,39.97700249985575,39.13760229939501,37.46519358301795,38.42848699106476,38.96286499515028,34.584787529262584,36.639036537374,34.32938964034857,34.093997944900565,36.678274135691666,35.844970316670526,31.872611156661307,32.202015002726,35.28268481393711,31.60705520070462,27.52290678371344,31.84701398011496,34.334671666423105,28.169019126822285,28.501781302849363,31.82815667016333,29.59328875032919,25.73216254929842,29.203578599651365,28.89221752300554,33.94865773219492,33.04305064594916,34.06560548598194,37.500869754905146,41.94803639228341,45.32920044093314,47.17303288259631,48.17276680961899,46.74355028244252,49.18177713728156,46.81415639727127,50.424518223452885,49.08496814383404,43.05388512594996,45.72804894901759,48.432568785107904,44.12632766670926,42.06279833556927,45.05265378777303,44.49552767462288,40.27911594892983,39.09105779078244,36.99700761055221,39.82309467283012,42.89675331909275,42.49794369413487,44.658027249193644,47.43264874485081,44.83440414237602,40.965523719325674,43.02266436121582,43.66616139101947,38.89111659308798,37.88589137015397,40.032530204571295,38.036880782252226,34.96350749362228,39.408743906964084,39.71881552607339,35.253506473629834,36.4708295606933,40.39213922283916,39.23345759141725,42.22443076615727,41.337304214024755,44.7081428862065,42.939820939218734,37.54803413261884,40.990976436416624,42.01312368556509,38.65344698486129,37.146607261525574,42.743998770153894,40.935134857733104,35.74252947553075,38.07878804462461,42.41934641508091,39.851606952449465,35.89292773419663,31.192689373750383,33.87727959582311,29.466245437139875,31.34856140536746,26.179600337572435,27.420398907282333,23.77063888241045,21.640269835574863,23.43433825618524,25.793412262568125,26.57595106193984,29.540222217680476,26.1946046214798,29.61212926863693,25.66011642690225,26.044331241507997,30.767014312117407,33.08060266780572,33.192646253647524,27.896744039017758,28.665328725763928,31.059462687382116,27.17866080758945,24.11031742617039,28.140876955945824,29.554638832825248,28.773335483359123,30.002547171127134,31.850458407819797],[20.30866347682438,18.56085698915705,18.77689192658525,13.041266286465747,15.869512028857212,16.54866227080956,16.69275078158075,21.02430853125814,19.300649687878764,18.847935216291447,21.505370796269386,25.090490916714117,23.54705911142106,20.653134781657528,25.812464403902595,27.45181894478468,24.745005159494102,28.35851182283921,29.04345553075008,32.161126513223266,34.54669625623459,38.331969610138906,38.29831946775283,36.86536717826724,34.74910815895394,30.81833262509187,29.65276817619528,26.34606060667519,28.412122637911143,29.35177209574843,32.32442489246491,32.887276295345174,36.55476716392451,39.451660512295234,37.02569708480658,34.43372562439613,34.19398187303722,33.177615618526936,32.363600913726685,38.02078039241594,34.642141885732556,35.31662934876055,39.71163628894475,38.82585575149389,40.10795117482952,39.60773449873521,43.511560990799936,42.861847625018505,39.41913595867803,43.53149928893881,45.443475506799835,45.520297046934736,47.102825044059465,42.09893548876681,47.3863608828317,49.15126356458664,45.06427518369119,44.86589245267551,49.60513011055782,48.84868344335935,44.59616142679242,46.33936396741836,44.72930975002536,45.51099020435771,43.09964797323059,40.02246692783489,36.5549182336832,34.341253810915916,30.990537533716488,29.520769386280644,28.081219097103123,30.173445877525648,32.74693889319534,35.60359085963737,35.99459626242297,42.390446838341305,41.07501915770114,44.47591888854013,43.307345002257954,44.06926097401629,42.682347018084926,41.87768966566295,40.47361920024302,40.46107023294378,36.956639651149956,36.1574253302675,37.55073457986188,39.2074833747969,38.09204224239802,41.808611389298655,39.06068035780821,41.932922318960784,38.80585643582365,37.38426776918073,32.75719520282034,33.29342069819065,29.018439441598556,32.41571137560891,30.51021179957245,33.23585946733108,33.73433320670963,33.54351199432051,34.252641308001365,32.92677702471003,35.030696004076624,30.896889354973588,33.984115951006096,32.465866112588806,28.987491140024623,29.43375453932668,24.7187307395909,23.746322581008034,20.457238301269392,19.384245964268253,19.292579411311568,17.90523793631743,21.115547102592842,20.251037408305635,24.629673523418706,24.20698960467512,20.817499342709553,18.739119020626777,15.097686510346216,14.434514851969618,14.271707455244133,16.18002192394137,18.3833272988119,20.858198467562296,24.035691970001327,28.300297375882437,27.4990981351119,32.16115714034557,31.76314799698299,33.11625785961497,28.25168288653077,24.257879711659626,21.89202678865565,19.51484584954401,17.118181147886116,20.21293202970977,20.216133103878423,25.121394831850623,24.821742778968645,23.427988799463193,27.075623901397403,26.58704472684609,23.59044133025954,24.166942291634633,24.676158967236987,22.88940894409564,25.58989658684538,25.67914875004811,30.616813795072986,30.9020668010673,31.123574029078437,31.106303104508733,28.359682872808154,29.13901950039482,28.722415503145807,28.41956316427555,26.620710217552706,28.94533980420061,25.782210689751693,30.595128588703382,30.017618567641264,26.285589668673055,29.498401692309244,30.210722601715155,27.808913915588228,24.344508469040434,25.65595930015078,24.10131359715591,28.56858036038574,30.59986809180984,32.176403169784365,33.96115440752567,32.5599286472328,37.98430296990176,36.60483661779353,37.71547347030987,34.971863555123214,32.39815241298723,35.90977682509033,37.70471595311221,34.67697353232892,37.35779407349482,36.1630685005117,39.66986598292102,36.87162820398803,39.017597055371105,37.93724204127658,35.90630384666689,35.045682529160615,33.27807267283544,34.18997361910157,34.77860038931855,30.363269026631688,32.40845791744058,30.22552497543911,29.81087356860915,32.62416457736636,31.71164037037383,27.6863596354828,28.335611225010517,31.512455775590343,27.816360064098987,23.938431526339627,28.474187654657015,30.945748346743922,24.92436456693049,25.582213078298267,29.056461498051007,26.79286790194412,23.24614758096948,27.041810744844614,26.516504608438257,31.633864001069497,30.681589651902115,31.267362083275103,34.778046435378876,39.076717200827076,42.68619738528933,44.223737952149826,44.91909359794752,43.25479033065717,45.494763684482265,42.90264842000524,46.51786663519485,45.41032110705412,39.272181756964045,41.74256822360828,44.62121708333024,40.4448222421949,38.16703984607251,41.0685983657508,40.854314842425836,36.69458817463109,35.128990930135856,33.07027485862704,35.56664863673885,38.704646765860204,38.4174083009714,40.451880456027894,43.35380091801056,40.61263432955927,36.775718109430905,39.10085503862069,39.693118947436915,34.83756767388452,34.053988880315,36.40139262241225,34.46839396446496,31.474775864235834,36.076744346637355,36.55506691824001,32.25096424650681,33.53961497754182,37.476995923934766,36.191609557909395,38.92545025594836,37.73452848354272,41.14226211564063,39.72099593300357,34.18985803151681,37.39181839496762,38.71952314541242,35.49034229198093,33.65400886902014,39.352164612863014,37.948641955111945,32.639219550288615,34.673863281354315,39.28362396871087,37.072905081984075,33.065647212937066,28.40596265626112,31.54824561406748,27.35606304720325,29.25814893966047,23.909966560199756,24.571562859245795,20.806806557633145,19.090335388556113,20.506148313822614,23.026217241010364,23.30208193330798,25.998116577308387,22.219790888320876,25.400297541287415,21.277753055962524,21.94172051846992,26.55139595180111,29.067553592285098,29.125131440947662,23.80276136846828,24.97059320006151,27.48383517111365,23.371290878056325,20.670891380391396,25.0298391054286,26.496999131462445,25.847709474920737,27.092354488252568,28.90488050435036],[16.97877378798566,15.825199216232317,16.875708789710337,11.46815726720652,15.38239308878958,14.05019443771089,14.675523799515132,18.60198409006085,16.383963155440405,16.839680584467335,19.138678752816922,22.4078339612864,22.018292612134992,19.153879234186412,24.217079680146462,26.120197634005663,24.25770818941762,28.18368587679708,29.713292781214513,32.799444758206846,35.55889927911926,39.54591232725141,39.81118815294963,38.83708342851103,36.497334610630745,32.35333741162257,30.872632601039932,27.14799644050628,28.453214743245503,28.702513682061557,31.24758863701314,31.502314420669254,34.84977582473464,38.175169905482,36.10940956655511,34.03217278983255,33.649015629821946,33.585710079841654,33.22754201855098,39.08949590270946,36.34137708168469,36.552973612205044,40.97570906916476,40.590820768304845,42.20268582632685,42.11498670162626,45.973350620066974,44.89674658269989,41.70311719711088,45.93145683785717,47.37251247189264,47.27389737815849,48.57152955552072,43.43995857807059,48.28165470477139,50.380286257276175,46.38435708549352,45.607259846395465,50.3937431940237,50.15708960776959,45.68967751215188,46.97037402058069,44.942764648220574,46.09187245815045,44.02571071128759,40.635513474298996,37.11716001108604,34.389456744569664,31.21202996403645,29.03398553808116,27.916131487501524,29.887268139642885,32.1933017439304,35.58533928411164,35.53653061979898,41.93659112769715,40.953264770243884,43.961937914455326,43.07304564397261,44.258644628674226,42.63579414837728,42.29353476596618,40.40542393535817,40.89339654107828,37.72748466892909,36.42721083372544,37.91856262014711,38.88479047113389,37.99556900460299,41.046719818554905,38.29876436839112,40.975333345423024,37.5314429003749,35.735719326295964,31.04530957978079,31.167999435613282,26.836973601148035,30.231190331276952,28.117211756693415,30.385486226790707,31.77187407201661,31.53914143709626,32.98816788097244,31.689806005047235,34.60426128673127,30.349477734875336,33.44975641288538,32.41839614808336,28.680548275939305,28.606150798795223,23.767575633542958,23.260260613495976,19.412622642183905,19.371132738029182,19.01434550460073,18.625680777185142,21.86047505383406,21.96626137902055,25.979648963611524,24.607695592856672,21.296965711923086,18.698345086549107,16.060336281539165,14.793869162203316,13.704617542892388,16.738275196988944,17.697315280758552,21.015681365257624,24.224210672606898,28.599349126185356,28.388888797949104,32.9364318332853,33.09347555024877,33.84574153365949,29.579578399474777,25.388518258664117,23.5629600500577,21.405684610373672,19.375688281634908,22.1960523121788,23.09683489164247,27.865025490154558,26.85797093201869,25.148259563948045,28.558363785920175,27.23250846254359,24.231483683301832,23.943015859494963,24.106693523069016,21.475998742274722,23.80274203681668,23.015815079648416,27.86126975446635,27.334666967955698,27.832905983922327,28.43501991059694,26.15374742980439,27.31088416122614,27.401738880051568,27.638204316570718,26.876762339498146,29.255601561113345,27.061387123944286,31.777186706423258,31.9027435403738,28.880294610046043,31.89391832942704,33.19113806975631,30.638517912797273,27.117801885900636,27.879041569916545,26.009796135134476,29.9849187097404,31.48499666635535,32.58131131242278,33.78840813977525,32.061083137539384,37.467603199057095,36.77840912214078,37.87365966025377,35.856992502441265,32.72375575348351,36.84775794322118,39.05788767114184,36.19737853250959,38.98019665460495,37.7363107231474,41.683706132868075,39.401907437045296,41.47059155276877,40.5514500227885,38.151398189591454,37.364147432717836,35.37229213999033,36.038492776593,36.50827933256905,31.86998788023264,33.4352528257507,30.97911779450643,29.912923220191114,32.474719906346635,30.922044939909213,27.08091486575834,28.068844322111094,30.660473687669136,26.507957082224667,23.389360733073804,27.64005489324674,29.237564328609878,23.17262872179903,24.181437840696645,27.24451322229053,24.348449398166927,21.18186407714451,25.29375092136077,25.399405244534563,30.129943107063887,30.480470678687087,30.70361775893658,33.81792012423713,38.475601549871016,41.73719315816408,43.64843942694951,44.078491472705316,42.63297854611199,44.872708948147746,42.26235490922247,46.2517886917895,45.28245636797445,39.20326918321518,41.77780523101497,45.07173021886538,41.02876464885172,38.76691305205944,41.93019123621961,42.0653400989912,37.86466061991948,36.4389977337365,33.75981850035935,35.842600946215086,38.77734741739837,37.90984010592686,39.63929872844513,42.07626345747429,39.26371119881501,35.75555254556232,37.6041158163447,37.777541125999825,33.03685890633129,32.361942282972926,34.12770071054532,31.88575970808789,29.19076552214587,33.836815654722926,33.8283826743876,29.32269171219319,31.151435965016915,35.154946508594605,34.329255425451976,37.22857123652618,36.278941823718576,40.001562886522166,38.49352807977354,33.12601189013564,36.71493720276077,38.221900861028686,34.9930884302149,33.591487125080484,39.471050335159276,38.183912810283694,33.037454836206855,35.407359469453134,40.06019411356833,37.96871749341115,34.086873991721795,29.320822467040944,32.90787984415846,28.721922944690288,29.799844577538234,24.34841558803947,24.478996549669493,20.074094558608213,19.341919241337983,21.241411496022337,24.3585535387087,24.669916244230425,26.630937569863118,22.58584740239737,25.71542428185935,21.32929535786968,20.9687056471459,25.147970487407225,27.274806603870065,26.940415556298326,21.847676025882166,22.71303777819975,24.596793925951424,20.523208587060573,17.763726981360357,21.857716216297536,22.804221368207845,21.843942952089975,23.007716549189027,24.887409052760578],[17.90745005188295,16.38251612532811,16.489031976557776,11.222002535791876,13.587478703918919,11.490916822520433,10.988139292780454,14.68388351085543,12.15178970533831,12.173707185056328,14.59268029769256,17.9495157505136,17.32252307217781,14.569236978117836,19.679768136599208,21.469270106202906,19.708447595576228,23.77783096829353,25.694729821512645,28.588396774003755,31.575044127605974,35.55154843977318,36.05621895101185,35.35006948836879,32.789700888161086,28.606776339015013,26.870283409201566,22.981465988139153,23.987217946291825,24.05769028353493,26.67868585746361,26.81067131787549,30.204260510891803,33.53748473712726,31.43832849690437,29.44391360579505,29.01111084477262,29.183572449261355,29.0111452374148,34.95512400359965,32.52049116972824,32.49896058175622,36.89699100268947,36.77769001130501,38.613032179162914,38.81001883567546,42.613438229176,41.22866844209911,38.226477506313515,42.534601984842226,43.64218442425006,43.48201107538834,44.58994698235578,39.403430469434795,44.02424153419566,46.239737867326085,42.301093223399185,41.2784449995057,46.0744536280852,46.07392589289122,41.55804675865049,42.70687421226336,40.56289456663373,41.94965672552829,39.94200724576894,36.38375587765203,33.045686322955824,30.115803548326085,27.223045342241623,24.900273869634557,24.072875746301797,26.337840988406906,28.251947592502148,31.65156703818434,31.26071175540586,37.63776585653788,36.543107288333594,39.44408764485351,38.52451643492597,39.773363931280926,38.073469027690734,37.87871394539883,35.92022652478227,36.61190852338076,33.55100194515755,32.00994857032903,33.48342560558779,34.27407970989283,33.466351711246496,36.420870048758886,33.7650433829613,36.55634385177417,33.101747572487604,31.237755685065952,26.520777645047783,26.83337618529676,22.477150686094014,25.67293634182407,23.575849419023598,26.07478906688168,27.17103547814193,27.17536236269707,28.454478547600228,27.47405203034227,30.597838686049364,26.574913771773428,29.9873493223129,29.32716521861412,25.851661167472948,25.31830191522852,20.55600582787867,19.50450698236407,15.358882068894145,15.328061358475898,14.546405045442393,14.55726993658256,17.74626444574738,18.434574434945873,22.359246037815183,20.492107210044995,17.367274860055776,14.467396492214174,12.31214653116757,10.680075177660617,9.433155623694276,13.232245566965375,14.556870437766984,17.833365989481763,21.318323969215754,25.337225182799568,25.864685867236847,30.28100853244885,30.34777583109709,30.578381904697334,26.60446251059527,22.22175994942484,21.310418945608053,18.68812335807992,16.62124888892979,18.93966029638082,20.388586119148357,24.908214702785845,23.383773135280897,21.49360899424919,24.702708223749614,22.976932874442674,20.03583859212973,19.49060959443972,19.764230325623252,17.070641932864326,19.743511771055186,18.945424187101086,23.982508969142984,23.832929430573948,23.863976597512096,24.189751468088083,21.684364962387345,22.997049021588627,22.839168580302243,23.42640469686544,22.816950525335297,24.944872231312466,23.233965245796398,27.83138145706198,28.485486650381564,26.063275741242354,29.122484866492435,30.917022847814888,28.603437672675028,24.87327156312197,25.284203839356778,22.944924383718472,26.477614323381378,27.642031566396582,28.434707171912905,29.52066426692365,27.55979061091584,33.01619472490813,32.46885456384854,33.69982948850023,31.978808726653416,28.8997245964468,33.324620845239394,35.70741452799499,32.82996273347369,35.367895211856805,33.94706660225867,38.17949411346013,36.19706427455698,38.34166977438067,37.695841097104775,35.12441321808079,34.69612735751116,32.80775766698909,33.580955384327964,34.37338110895006,29.84557292038855,31.4636271713817,29.397964862586814,27.842208627328247,30.874845672785263,28.969497277243587,25.122508366037632,26.924295388037276,29.487967316293705,25.190090936018287,22.833145324786972,27.24645088025628,28.46144570174057,22.77381247434531,24.40964514455556,27.451694581459577,24.299448825311966,21.87654830697262,26.380618715037084,26.40397348851491,30.980848484019123,31.54397137744671,31.154126077076793,34.220808195665626,38.68403107523403,42.117222136691744,43.689820882766234,43.618968731430506,41.864025832117456,43.743058979315904,40.726644400255246,44.77593111054264,44.266699131851695,38.069718175815794,40.232583897289594,43.86693629348964,40.11140183220058,37.484696355428945,40.41913428524181,41.18700389475244,37.15495738994367,35.017697044543546,32.50235633219309,33.76984719433788,36.80937560366198,36.0932108327313,37.40208576582866,39.94343248164526,36.722586698429765,33.503854826454656,35.76407159712576,35.56152128428843,30.713192465418878,30.670782802180028,32.49582622454378,30.180269266913793,27.909956817094145,32.82036581404875,32.811529454869714,28.519407090873724,30.772705309608646,34.774216896354865,33.97591468242723,36.49274291710165,35.12081700534305,38.98630126764144,38.0410998843533,32.57854472253909,35.816217913059155,37.843543320097275,34.860468479181066,33.047471725420884,39.01917989723931,38.357559428662825,33.15179917269887,35.04315643341362,40.02330559526118,38.45008355410948,34.57670708230495,29.9739234277116,34.01853869176948,30.174604943780423,31.248267426970333,25.750107234653754,25.113412266658035,20.592836346775606,20.61418649190047,21.9881783512932,25.190258195565175,24.796146110314584,26.25238419379921,21.508189929968957,23.96913666033988,19.15240002510841,19.198584336361805,22.685880521168038,25.12160615392907,24.224772871217883,19.328478125670696,21.101348411725905,22.65838358479913,17.852643481802684,16.313633834575604,20.792964362339152,21.206306780535897,20.050106902554333,20.853778805120463,22.51106040316857],[13.935051047650468,12.821244008122845,13.637597203884077,9.19249738926078,12.723122048347852,9.073886313417033,9.948838672812418,13.270583173676982,11.097685520433815,12.853967091348887,15.12275409170838,17.64436482722397,18.234916653071476,16.219664794080508,21.04751086500124,22.742377833556024,21.77529240998072,26.14903663564309,28.745375276023086,31.310351714314066,34.61927873469445,38.517864118351305,39.324055609421976,38.849208100850966,36.04356099963861,31.910415245976807,29.788951774894958,25.74281844164547,26.187696106387918,25.529477763231398,28.225629174224125,27.63022748844321,30.8293399550081,34.61806253377015,32.66709505645803,31.200660129437335,30.29463880264814,31.284467956277204,31.261744346948102,37.05723866090429,35.27126521448397,35.26226140994241,39.54176985322069,39.65124076148008,41.798790895748354,42.130315827298915,45.86902620524195,44.18329436255717,41.181698710229035,45.375533505885016,46.24515220119212,45.80410373622748,46.82656648600444,41.666057048155274,45.97490995266283,48.56062706531016,44.83430741082592,43.46779093094109,48.29906929606355,48.71815934497236,44.249913506923946,45.22843744578637,42.848006707687055,44.66097529623673,42.78668663479743,38.968910857879855,35.9192903670427,32.640824404787956,30.14583735913311,27.404050624554667,26.971390712574912,29.241567455850472,30.767374890902747,34.42580686632397,33.52529099670173,39.78901267726663,38.72724299083637,41.238582235286465,40.351020357177184,41.75694370757528,39.65169943993941,39.58045420195303,37.06241201785214,37.93061842533599,35.224629340142755,33.585290818518835,35.43898617065237,35.65686874883317,35.39692131568913,37.85702697066276,35.46237503971891,38.25372986843991,34.5819928437316,32.295843330842374,27.564841436183265,27.66560207439802,23.323129346544228,25.986820172158524,23.439874426994756,25.012526751654995,27.032626276123665,26.396096585111053,28.53151044191379,27.04268437096205,30.601644836992346,26.29633766247765,29.34633545881846,28.866043066078156,25.041370435829812,24.36623487211033,19.58118047179457,19.536606938574852,15.379868490330963,16.576300885622334,16.43812446739356,17.300794676938605,20.676787700781958,21.944026592069964,25.902133422076353,23.48694864424051,20.661020196265927,17.432440425456363,15.87626694914989,13.586499296644593,11.144886589803951,14.783655487808709,14.165948086326875,18.13650910451426,21.23222558306156,25.48688548869568,26.047383061966375,30.302406832606856,31.026091105376118,31.03627364388582,27.596856392731233,23.357218301826105,22.351362396020033,20.55312019404498,19.23297921473215,21.63963312631461,23.88715735966429,28.404010152087906,26.709253689219526,24.448786394633427,27.438696885138867,25.234272072240472,22.253407803779563,20.930338327481213,20.47296625020835,17.11689551302435,18.832828182562142,17.4639144254161,22.12094964812707,21.297428217073058,22.06885969426748,22.937197222708583,21.12079005494211,22.32481444090981,23.073690343791878,23.534990427277652,23.923450155795226,26.530367622653515,25.437478167770212,29.87812395825491,30.67589973261902,28.617787387372665,31.178790849665198,33.214959392767824,30.537986012210624,27.069990796146445,27.071593139767796,24.93541751419856,28.17407734966381,29.04164867698757,29.655900228398064,30.195456883217712,28.377692454261442,33.56503362166971,33.577716573849855,34.50966349488857,33.29068038611109,29.53766842262953,34.208645955967626,36.845353633116474,34.270701993771375,37.22865069603299,36.11623109743241,40.44293303626425,38.950609524436445,40.71033763637601,39.94666084284796,37.09245011418808,36.3740405498864,34.15362596324165,34.53129393335267,34.944120772538724,30.219323706499175,31.276769249882353,28.79345782713705,26.909053742001593,29.41363638102387,27.146286206861088,23.55726976044558,25.27049352113004,27.283876871876984,22.74976501151502,20.880818541008,24.880302378042657,25.475771885196256,19.791444625588284,21.558545202692297,24.224782357282336,20.71839690657737,18.580426011148532,23.179399897191846,23.65439697713768,27.856704724559936,29.359795292695605,28.760362795479185,31.476421331509968,36.181115502410385,39.29397653638698,41.18462461256724,41.02707480953766,39.54550108246832,41.52615189849048,38.67876570822252,42.97362786622336,42.40719525336674,36.371696440991236,38.76369591258138,42.578231989121676,38.87375877152347,36.44171990564924,39.6777191224817,40.488847924306974,36.41525589548264,34.74649287426648,31.620129844298617,32.869158994037946,35.618037558480886,34.33161930742979,35.57479552617893,37.6652452852777,34.63424238877463,31.560531379484768,33.21831586329206,32.881541466198925,28.21910378760132,27.96851437410914,29.329294584103145,26.852988191837383,24.655074508202368,29.467111742159886,29.145641634804615,24.705770951340075,27.189334899139066,31.197822124903805,30.7088537532361,33.40692163907862,32.35100921638193,36.369542588882766,35.21023575682475,29.963547755477702,33.562532061794,35.558557680356614,32.55874896882874,31.23809546984944,37.24317774061494,36.532458637197244,31.562221052110825,33.832349191095865,38.68233945813728,37.11674986355367,33.413837638403926,28.78979510796814,33.057925848851525,29.268171603097915,29.635349343748214,24.21437391468617,23.234572407165516,18.39165277947961,19.165976200963314,20.918743429301266,24.482493324382077,24.285114984586517,25.16858852494394,20.602576650971113,23.1980903984213,18.573221469166718,17.431019529880185,20.73573819739624,22.628695932294622,21.741930847890554,17.025444851544584,18.088215583742404,19.287475622200855,14.9525570849007,12.848994744402919,16.961425958547622,17.25395430935508,16.077038563138867,17.12429343060478,19.038279568043382],[15.818773350982223,15.198243238004215,15.902774028523798,12.667848808529996,15.0483478626281,9.620170339991983,9.566589325445646,11.232655918852425,7.860631670075557,10.29487316823857,11.645910773206134,13.678109764226793,15.50984798720252,13.676656846090573,17.8901442893158,19.769327663389333,19.775228103627875,24.112645268986718,27.404186360866507,29.829796633392572,33.345843273704,37.33266070647762,38.39127258314514,38.40581896718219,35.50155259983707,31.301999869742748,29.036503114070776,24.815673447159103,24.444548836930107,23.189199991904015,25.185286909002226,24.44639925941091,27.20040386837396,31.2258762179684,29.709708057226088,28.752106737918,27.902590337636674,29.735614020021448,30.254928423364145,36.132407985837915,34.91069461049224,34.298640033994396,38.490561244643324,39.13438271511093,41.49314210286011,42.28223841852445,45.887585685229745,43.834270080554624,41.259172131901806,45.55327224799154,45.89355748412256,45.40004940356533,46.04960765569606,40.84808446098441,44.60855616490669,47.360849209723874,43.74109648046617,41.83411117981308,46.58623001794439,47.46220260954982,42.82461801957558,43.29587607189927,40.56760498337839,42.66030416476515,41.173023452876805,37.174393310662886,34.14257956847989,30.487094367560957,28.302560099246374,25.017733677791576,24.996998085523593,27.14702980973401,28.21493528435087,32.19758280206744,30.86251438153041,36.94680168889908,36.21989201949666,38.32592022730173,37.756193829273485,39.56937941530766,37.41090322660961,37.89691589279349,35.14276504308536,36.588595937625826,34.24093200879348,32.016188939962205,33.7083395179564,33.28666684606826,33.08799848644651,34.848265690577584,32.463042851160765,35.00120510605865,31.146148679002103,28.601307584735267,23.957959846581232,23.71158391072574,19.47440968524155,22.061851952976422,19.507476556780833,20.90462454486533,23.560932423630575,23.370123620948416,25.926224425640612,25.01170594415888,29.36678961244028,25.426866997898873,28.704621892539343,28.961120267397472,25.399863844081253,23.918001265217207,19.434214652928283,19.170219006630496,14.628881766198184,16.5153460991117,15.564787539697022,17.348226702599856,20.153784386251026,22.26973353291297,25.450449622594714,22.247025833344377,19.806506316462972,16.443883219024446,16.29390881811303,13.986360085675956,11.452581923317496,15.889005618163976,14.93042280118745,18.948567790005594,22.06736666495455,25.774815221681607,27.31643521145239,31.221349340657422,32.09089701253148,31.314055315559,28.56865919569779,24.269423716188648,24.354497322905846,22.310442114933593,21.07692133780296,22.73883064433583,25.381646207125403,29.38574785809888,27.026439710360563,24.738926419704274,27.27125436837301,24.357959136037564,21.697287255927858,19.676609788536574,19.207987572121013,15.269937037090262,16.897709134213457,14.399144733259154,19.003794173311327,17.47534020591623,17.93138055106506,19.323689255395912,17.849436595913808,19.750205244377806,20.59839832901805,22.076504089269182,23.356861243534528,25.45468875058711,25.479378396248276,29.535830323172355,31.199235658745142,30.001332246584578,32.531320482298526,35.09283194858848,32.68779471348974,29.11805977449351,28.703831189593156,26.108371659574797,28.577431411353174,28.80496202424338,28.766005037315434,28.79318024058,26.449895588455096,31.543666553985023,32.192724738391206,33.30012607864031,32.86212897013912,29.039098121043708,34.209734186884184,37.14130054720729,34.67120999585119,37.27577537684045,35.90486213713345,40.61697866130878,39.56289584136882,41.43397876395621,41.0376094792689,37.990446370784085,37.6916621118783,35.56630661756658,35.95474812592643,36.595205189673734,32.01320108630202,32.873755391907814,30.657750406122272,28.111092535388256,30.747654023165587,27.86346893729779,24.582784451724354,27.071517269169657,28.593411910256858,23.85470952027278,23.20256794105815,26.897045758979193,26.552263314944938,21.487159654372512,23.821926484067166,26.011077977910375,22.027555607749193,20.897469035075975,25.632528455932633,26.44964643082886,30.10075974380588,32.45650551489453,31.3225606573383,33.66616400378313,38.33074980616266,41.251843726935334,43.12049156684065,42.454610440016765,40.92453465960467,42.59113995943928,39.47356917099156,43.96795814887739,43.85010093796976,37.89612380754318,39.97279826672227,44.20555121410585,40.85875943464277,38.22171442573153,41.34059257529646,42.772273655795935,38.88337039098923,36.8022142844258,33.600071869320985,33.94371604306732,36.583283247522644,35.09634959167265,35.733076400868605,37.52177132939472,34.133037304908754,31.67279057218346,33.27799796958467,32.25919720739685,27.746735260992104,28.18246948722025,29.03363771914976,26.283606278351403,24.859580316742623,29.730192408368723,28.96897442655649,24.696035834321982,27.92561809205954,31.834538319739202,31.762101532630318,34.21160939849695,33.04223500641911,37.28845398955477,36.52094830953434,31.490393163619512,34.966007884168796,37.39406560615463,34.651058922685806,33.346141752496905,39.34499812949902,39.12650705855336,34.3375773761256,36.39758419512151,41.36693230104415,40.20879346669195,36.650174426400845,32.202138095912325,36.77371848302184,33.24306679631131,33.278448479444016,27.98085158035992,26.409708578576893,21.485385606982486,23.04988871876624,24.63049545102423,28.28945349311602,27.73166318936474,27.97813966906436,23.069235355889877,24.97537074492212,20.190145910215403,18.832569426886693,20.874288482836835,22.594073459295892,20.797811768904303,16.90012236563314,18.459818608512172,18.541157678642453,13.783504986517098,13.278163822103492,16.95329819678318,15.943011713228088,14.08929769148715,14.413365596528438,16.02618173004549],[12.867461653271816,12.48211548976386,13.413641952362442,11.499390691612005,14.139394949115022,7.920378090699575,9.255487507438685,10.393084326901011,8.422905820355146,12.214647639164163,13.707580301631651,14.701856696563343,17.117344395257746,16.276719023729058,20.176070564636444,21.653795822826325,22.03269047524138,26.564140739244557,30.199741562728885,32.21570740763867,35.95526714641007,39.72843601848703,41.035817391902654,41.11095616035812,37.97498523978064,33.93187859854869,31.31871472349217,27.109085164798362,26.505686757678305,24.767551125652954,27.208539735691257,25.676715457569113,28.390862072622667,32.70305760166763,31.12223277312103,30.529266949515478,29.126520932487182,31.43240787808687,31.88049219225991,37.46042795116829,36.750004397377744,36.39433909645984,40.42393818338912,41.10855361119846,43.72031730411705,44.49646450005307,48.04696768903821,45.793032159585174,43.1006629231865,47.20811742416283,47.4481780941989,46.67920690912199,47.349229108769116,42.24442709165588,45.82618957797471,48.8905593392449,45.50275654723045,43.45531212020751,48.22933703941134,49.38312783574981,44.92792952778132,45.44816922420207,42.659038299308264,45.119671961877486,43.590098888926086,39.416441156155095,36.81978975984242,33.020015272958965,31.261536218970196,27.92045467421214,28.19739321058216,30.499513929785213,31.21981376176982,35.16239349895367,33.41809839250664,39.33744092440207,38.40084326068532,40.231959682450395,39.50353649400705,41.24914074170829,38.683281665458196,39.054780641270774,35.84515090885478,37.240527691749605,35.17662013156153,33.10036422504853,35.23758297212827,34.47846887398025,34.88766424578615,36.42605454511791,34.427302884946904,37.12193003086125,33.221239572908324,30.383284200187838,25.816430583907742,25.652198271381604,21.560869367463365,23.28476561963617,20.288067026506,20.631144226619757,23.873078270142823,22.77505531070809,25.993068054515543,24.378373740837507,28.827568296637487,24.63634620393901,27.44339236572034,27.742900784585654,23.937646117662972,22.467958236273372,18.10783804034783,18.83693650582385,14.693368460690571,17.422033446579974,17.395515712883864,19.53371532902448,22.61976576835843,24.92411099910768,28.430256679984915,25.07859405351537,22.897993452793372,19.394883496788328,19.174905078678602,16.403087200622323,13.177168645613598,16.86524149608954,14.392996738823335,18.703234024463278,21.321696772644952,25.165715873148883,26.581224025946067,30.281927174194845,31.689755115894314,30.842554362496056,28.53510390291475,24.496271821222273,24.38070399684255,23.113461028475168,22.5293490328753,24.3629744727306,27.596735044478955,31.674626566013302,29.381114888096008,26.771693596439864,29.171206321933322,26.10207665244966,23.38089351869296,20.92210866191718,19.745727094244334,15.579927327697783,16.090593647387223,13.455622885626415,17.429673292686417,15.551016251475392,16.95745175962944,18.61471911048202,17.83484043345919,19.237872692847723,20.98747852065254,21.927215919018565,23.89460129766366,26.543950407278516,26.832431745013526,30.74303889774973,32.28484641327763,31.27259993402395,33.3090261469501,35.97906573595592,33.258495763800724,29.98922741671976,29.276553735945072,26.991141520420452,29.280741686138857,29.371341331903565,29.336606630928454,28.973811940202978,27.019412436018424,31.73827924531668,32.725653719880754,33.45829436288639,33.304811563711475,28.937474254373484,34.12316147275526,37.18516673357168,35.01535976928294,38.05779605566678,37.080039508501784,41.72383321923352,41.06199323445565,42.50512818315312,41.926926889583854,38.68155570907428,38.05371720400189,35.64943470442458,35.68365175047432,35.968965417058726,31.293981122511767,31.67898506330208,29.165657773170725,26.41999856501293,28.569424458276888,25.45796942302815,22.471001313352918,24.84731218880334,25.891591620534914,21.074879049299003,20.94468037058652,24.19620744665409,23.328779039666415,18.488028881224842,20.967934248688852,22.794481531177084,18.615293220267485,17.971146220635447,22.679556284943715,23.760964699647744,27.003882725860457,30.007906890959486,28.624877635515123,30.659263118326262,35.38821421762487,38.09265597784256,40.10577431480541,39.33096262175147,37.983391795343266,39.6961959465489,36.7273268439244,41.3601962944363,41.20337349330333,35.43020564736459,37.65312494587509,41.9779094115413,38.714717474786575,36.252595720131076,39.567237867729055,41.024337747043916,37.162202475611686,35.4638825628619,31.831870117477106,32.16348445334756,34.530373110549,32.617409079654934,33.22634612799302,34.66298380776397,31.49340718997426,29.126794451093723,30.243984171022927,29.18026238933917,24.851282975501796,25.088523413556878,25.60426625958308,22.7761953217494,21.419241734008995,26.177489805225267,25.23572715973134,20.928410506687104,24.31192475582739,28.179847041526244,28.305895421857205,30.808532851416995,29.84538666630429,34.160586754226664,33.290640144494326,28.475463116778627,32.133254229166006,34.54769604243899,31.86187634974035,30.90385966015726,36.84203350564634,36.65642352930415,32.11967180535116,34.37526439423208,39.20122900323512,38.131079421344815,34.763253527531624,30.42314235174708,35.13925693315722,31.79508297371919,31.311658988858696,26.21797204176813,24.286127041532644,19.33194289253827,21.55045565688085,23.21990162214919,27.017256684403634,26.52223506561193,26.252730121141102,21.60427089927389,23.505118156817435,19.081328196527657,16.807049085091432,18.571415060514838,19.775491853918194,18.0866029404268,14.455984444037803,15.347814020357662,15.099816486828194,10.929766588337374,10.057030808289023,13.266252081925177,12.136466847857646,10.375710947743015,11.133340448930602,13.139057281581572],[14.671623781924096,15.223039111331191,16.84896821985126,15.504575864200222,18.314449198440908,11.889634771873256,12.955607760115065,12.989147061114872,10.396717927989725,14.202775232898798,14.613352913578778,15.05048970965107,18.66223271311707,17.690852049540926,20.869494911209586,22.650313123663,23.77188671695294,28.044399553934273,31.952283068626734,34.057229234253306,37.78026124726262,41.68827252018247,43.02635238449832,43.386249563806395,40.34433541163111,36.221200368294284,33.72016097826171,29.462932667425886,28.394987123475843,26.35700818871573,27.88163959147032,26.470694794999286,28.571268027583166,33.021735686806316,31.995159614743926,31.824572795401117,30.638914132262126,33.4922825097159,34.33492578569262,39.97438082824036,39.492363795981966,38.67362546475857,42.66156704226185,43.677562891748245,46.30034120070004,47.33388635941654,50.81208399660619,48.434303286330326,46.04364731986187,50.23330079417704,50.197174901069445,49.462854414292416,49.88847784310329,44.77274217700024,47.97465899817183,51.076327743724526,47.724349307723095,45.325798178698804,49.99165007599234,51.408139531984006,46.78920709790614,46.86295338665316,43.81121486859327,46.319397061994586,45.16829266799267,40.97393583516435,38.18870270235006,34.204444935430146,32.46775635604192,28.734891236512205,29.132096464284942,31.041302489686032,31.65318216232854,35.909281457283434,34.06193412443715,39.77717257073748,39.34216708137731,40.83997479421838,40.51976670163549,42.655159184734565,40.172286527245866,41.0303591491047,37.72170835358571,39.55397533260244,37.73847752632931,35.24977938485478,37.14503871762793,35.92096108549443,36.22770847362604,37.10207965977482,35.00381035622985,37.25923277015656,33.214201277839386,30.227043378224334,25.888282699532166,25.132054646761436,21.321888896348327,23.191108192803323,20.36106567248155,20.29334278150718,24.440432176189834,23.770988121511937,27.436555416147904,26.298131756127802,31.290649561159174,27.390692051986793,30.185460032047114,30.91677440785794,27.24447546953935,25.383909575858684,21.352393700178837,22.091701641901928,17.90490725612108,20.81317420473868,20.190199399841095,22.59264807877659,25.220723016387566,27.792967422253966,30.666006852270392,26.990621965688423,24.933436758566195,21.56004413086737,22.030342733388746,19.56210825705813,16.647969210674844,20.687368247886106,18.25702957697305,22.491044369262326,25.029494426214534,28.58811771206284,30.37696315899325,33.8697231827723,35.39998781330373,34.19892158675783,32.25585313761618,28.23278916047859,28.467805165254823,27.08726198975341,26.392205011853385,27.951000694991976,31.074444439324612,34.92954182983086,32.348574465832996,29.88473275984078,32.07850855238524,28.697672116069942,26.23201181454129,23.51393995081654,22.44560852048901,18.055170510181178,18.36167641481829,14.753604196080039,18.149316859761793,14.907505250935856,16.401300927481905,18.989464121950377,18.846347412245272,20.850998317505773,22.71175981877669,24.423011914771205,26.917357612313637,29.145904455429637,30.02111537379075,33.70948077569093,35.70044420065259,35.005295054360914,37.103045099430204,39.922677369250046,37.3211132053564,34.00008788089711,33.20657055915628,30.744324412013455,32.71734766993991,32.49229048590096,32.06751100228927,31.368757593644887,29.043251051594826,33.60022781542364,35.0694578658217,35.92266860087472,36.276988779688985,31.921165388011833,37.33034390509927,40.52649629335726,38.42485305881162,41.23323247029121,40.0660764094067,44.90103725602365,44.38283026121351,45.95732569133683,45.56843439016498,42.2796691666264,41.84593068254351,39.49165520599059,39.51449615861976,39.83704480085146,35.220859218050954,35.44365765497781,32.93830668672354,29.9556828898428,31.89989294918788,28.490963902529828,25.83618810764628,28.316263845969097,28.902240392287002,24.065505243198047,24.4873245132114,27.311214126425313,25.77790827243086,21.340633756366188,23.841037381043925,25.14198067320157,20.696312333440847,20.50257414427655,24.987178005129316,26.530949004661828,29.267311089750645,33.05587963752318,31.598460646793033,33.250890679263804,38.08790058620225,40.405343630889234,42.69077848458641,41.76929294721092,40.643724446127436,42.30335004707351,39.395528267218474,44.17061267147872,44.12849587416293,38.559827079759906,40.76503062221872,45.24430727404061,42.1378360323202,39.74286888872073,43.09282762831431,44.704959070226835,40.903864702591534,39.28788602282622,35.49998938249399,35.54724523899813,37.72649348357189,35.51373194553552,35.81247598165283,36.8074603533001,33.62963724053771,31.72645914641769,32.413116450333945,30.912963721982436,26.946306501662594,27.378018023296498,27.217663813480137,24.18018793248111,23.37391199960346,27.846862479751735,26.34947821250973,22.09627723457347,25.94201151030954,29.643958099624186,30.265910056621333,32.81438674583546,32.12407272325339,36.534351842419795,35.6165974892813,31.16757775121271,34.96419944252768,37.40065307918844,34.800958344778586,34.19296679151399,40.034070165627824,39.874477881475414,35.57410548999866,37.971605221634135,42.67294883305222,41.62885747607772,38.39626810668304,34.10048195498675,38.797160924459554,35.45433626747754,34.63976641765686,29.687656098159895,27.7397896259712,22.78096389509632,25.178239719062574,27.055577098908103,30.905047822822915,30.538728901446813,30.075515853091897,25.565397352380455,27.325782613411075,23.02186493435231,20.456612326051932,21.58728379640297,22.33651250288758,20.231167356574428,17.448061417953728,18.01055421390207,16.819228367679525,13.281119877562682,12.941795872941503,14.990345300700383,12.80237267898686,10.393658075032377,10.427170638210384,12.186177906283993],[12.458169108803808,13.394893630342578,15.199180006939832,15.367744218963537,18.160984690337877,11.744264413505007,13.785111486972587,13.387772590923527,12.285399440558681,16.73930995595343,17.44806122327426,17.123219342936356,20.88310833292276,20.729483062852168,23.744380973324088,25.093843351527376,26.388535830454735,30.8235051991185,34.95934131499379,36.67682770231451,40.58712173436122,44.260827366102085,45.823150083816515,46.19795144052467,42.93767012164044,38.98125819936959,36.1642454975495,31.952353702854708,30.764428707326324,28.369248312214086,30.413310871794273,28.268627306691727,30.372248132602387,35.017718974850695,33.86663968317722,33.98639401423446,32.26512552070238,35.456185513186846,36.172921728914254,41.475858603896384,41.452927947923364,40.93751846748862,44.75825914149722,45.76449877566729,48.61388063496609,49.60164014225003,53.02323776703657,50.47679739795731,47.95267418515115,51.93366822523789,51.8311802655604,50.82431912494656,51.29529201084283,46.30400013658524,49.355063481265006,52.745705270557664,49.63207964989212,47.15415782855058,51.82965073716033,53.48048492588821,49.078016877789,49.25891794912654,46.198674565934255,49.04440967799484,47.80320006593277,43.4639163278571,41.126932004311854,37.05904417043982,35.70777768830858,32.01558637228871,32.64411953490371,34.753138302609074,35.075594154535054,39.218988152935474,37.02458999840636,42.580295997117936,41.87205102787086,43.140255113257346,42.61188910167359,44.615504637282044,41.74049968807145,42.42089216426761,38.70405278580229,40.41931844247243,38.87822667401164,36.606069994164635,38.93677619767728,37.45604708274495,38.36076272210739,39.10214784103666,37.413038064146356,39.86521777085757,35.83609523643641,32.62706465288797,28.3951997025671,27.829107097875127,24.186416888033246,25.182934052896112,21.991443105121984,20.878294191074637,25.41166526901351,23.778975876118064,27.995469230230146,26.130414308903273,31.065774730576912,26.984590260545765,29.212900648075994,29.95820181046611,26.125560059009167,24.344440320782297,20.61304162805595,22.29401599140531,18.669570739252784,22.143675078341392,22.35030925474843,24.94686671379137,27.846532366396204,30.51281017686646,33.7529228833702,30.023069632419066,28.158917514965104,24.663843773063522,24.94720217638655,22.10441410378668,18.713003880501997,22.032185473601317,18.442023280466586,22.730779039104387,24.704406292189184,28.30064027503805,29.903087501405924,33.121122146136926,35.16192951520823,33.931741356652175,32.432732531572334,28.73805667461892,28.75910342241379,28.11591791841027,27.998888051832967,29.712732620193574,33.324532441805275,37.25374103930368,34.781133724084114,32.03591223241311,34.12390865756041,30.682541985253366,28.161456424263125,25.151653763478826,23.47789216330606,19.082893671647085,18.334105262832242,14.873235020877765,17.31059097142439,13.803317555516214,16.407247215012973,19.108372316161855,19.658696710468693,21.02223413570951,23.69457364841951,24.764873156321514,27.79896674959428,30.53669701845235,31.569263151098863,35.10637920291231,36.91291322875678,36.364029064916615,37.976553117853065,40.85803853213373,37.97586935984598,34.979127992068555,33.92634323631237,31.800447022152692,33.608968758035324,33.28781039462578,32.91117047539163,31.87559990222074,30.01001950749599,34.131414044587935,35.87099619891286,36.32789040190446,36.91255156585931,32.0904870948933,37.410388232914734,40.686554592214605,38.90033299345023,42.12738587897966,41.36730062401584,46.080897636672105,45.93001691666737,47.07099507478393,46.492297877036336,43.0395275352328,42.27158981477074,39.666323537902336,39.33791634657701,39.294737365926956,34.65464237221183,34.3938565712375,31.63033063270687,28.51105708320676,29.875618068798097,26.2936061419628,24.06425734288556,26.341582610733802,26.35160588944296,21.580642134463798,22.620957162476515,24.818852372572874,22.65607925550164,18.708288747950718,21.283592685660036,22.052257032453646,17.478481714486563,17.986383125571955,22.244996605676842,24.080908405503216,26.226347946500468,30.724895794370628,29.001260743390098,30.24452495292496,35.08133711048117,37.100867553643255,39.534702727985554,38.49540999408608,37.596569117132134,39.28767607750526,36.587119894169916,41.46618760684003,41.38028777885704,36.08705217361689,38.42387097025332,42.95089994953236,39.97273815046227,37.80103384943764,41.3171665179904,42.93639480805385,39.21337945487126,38.02238131123665,33.8468938964725,33.881266110400404,35.727540270617126,33.07368200765462,33.33291264281186,33.90021212354109,31.030161764989234,29.278628635539235,29.358639095326552,27.81600750946477,24.176277949588055,24.360243673735898,23.734408571427004,20.6380833072958,19.99562924923885,24.19713349861918,22.437831889977616,18.215377098369316,22.249175398636815,25.824897145336763,26.72251519668569,29.297627252455868,28.881806651755824,33.31206559341481,32.28602534513207,28.183761508631306,32.12605678397523,34.51161613207006,32.025211964540325,31.828264913014394,37.50162113803657,37.389206191960255,33.44160125497815,36.00695292921028,40.485680013711935,39.55747971105658,36.579418845023845,32.48263068988785,37.25263527423359,34.17212123284525,32.81774679091865,28.206460756124656,25.91263046837571,21.115417001954526,24.12310585843337,26.01704459188706,29.896483096497395,29.593761073051397,28.600864843788894,24.50478332050744,26.193839577135023,22.41951671355455,19.05126281101221,19.77286909570345,19.84176706170625,17.94027167438984,15.740380067830092,15.400028533717705,13.677738978306756,11.409099152196939,10.759063899556264,11.612080273757245,9.05837442436569,6.7455621739949105,7.339687186390148,9.700246811047503],[17.933230402619515,19.339428189777685,21.230263421445883,21.427359273219107,23.895320028041304,17.267919749326843,18.45970947138821,16.99227194451708,15.149269847944487,19.223267567022745,18.702210108562273,17.624438261195138,22.554015152468864,22.39054822291787,24.305773822634464,25.885712944709375,28.11597729691037,32.10760553873241,36.58461387247789,38.29625734035976,42.16649680398343,45.93407759478864,47.58404197192168,48.38867971736884,45.23873995703503,41.24778780983865,38.55985066954585,34.353358058688606,32.52799388769038,29.761859278166035,30.587751983697654,28.59021987254907,29.789850475091015,34.50005343179668,34.12052601905539,34.838887987755086,33.422874345955485,37.31662131151096,38.57636670773883,43.88788376785445,44.22941979222235,43.063356549745656,46.758973101733446,48.25204759434011,51.13488107183026,52.51533838563679,55.79677465154825,53.040908984463506,50.986150598105084,55.06572730715915,54.51881655710996,53.565407242258445,53.653911665785856,48.68908780806374,51.142364499770764,54.56279696228097,51.545125974659726,48.569249037862186,53.039272800086046,55.08315576408034,50.50533484741034,50.05794679009068,46.66252182856073,49.606313001142645,48.89671085691085,44.55335838704406,42.08721383697087,37.81448899756185,36.642913646381814,32.53096876268098,33.404588123378055,35.04533118406576,35.06144338443476,39.483934644577964,37.07881928044556,42.20568844608989,42.13375992119061,42.884406640610834,42.90066873987416,45.40653318022605,42.670796767247246,44.034681597195544,40.24868856885761,42.57644134603591,41.401837629650345,38.55979793950196,40.51346379520355,38.397465902496236,39.178269738141964,38.97697960769188,37.24384193529753,39.08898106672009,34.965241341356624,31.604158486794496,27.850406713250422,26.58138662866989,23.539400120077772,24.483768638516104,21.666036652687172,20.027056766430302,25.532291713906062,24.653030565404766,29.23564907246175,28.2172715585264,33.78975879202672,30.291568100318674,32.62413953455651,34.01399133388743,30.5632708638369,28.195926848396457,24.967979686679172,26.285228919171196,22.589118351346528,26.119782969211155,25.51954939509184,28.44691184367828,30.700440468161506,33.756109406321,36.12783514476578,31.983944697041807,30.413388146113824,27.137672940822668,28.33547787767892,25.84260924061761,22.846806429161905,26.635010722227026,23.4134716101064,27.478386376084227,29.482080516220822,32.538700835335796,34.80427329773583,37.721264576800856,39.76152645398121,37.965575363589345,36.96008302873897,33.25684197178715,33.95683251008714,32.97212701018612,32.667432182934554,33.900080160632484,37.41857724739374,40.94913630526866,38.04567243719416,35.49542378594433,37.23412085432141,33.38679172406192,31.267005611616224,27.965690095207318,26.526223779776483,22.025054508809607,21.26003324447644,16.846224173588812,18.424083224939842,13.404586476930344,15.682055650752861,19.421891140367283,20.732341409161283,22.87166192539189,25.452550269554973,27.60096529579864,31.19785875545135,33.24539489879579,35.10447297932082,38.268002009601894,40.75563124003014,40.74496780904262,42.47336787916883,45.62617191408503,43.019276010662615,39.89582016919221,38.70723762322817,36.24410456598147,37.53785518512601,36.7482285881109,35.798624382286086,34.34397063027329,31.951665456376464,35.786079403861656,38.15086401584052,38.82494548584574,40.12042583704257,35.47003857483257,41.071381741875086,44.50928509196758,42.79137353860479,45.56508765895747,44.49440739522522,49.475653899571874,49.5622589074911,50.91265265399887,50.67296112527284,47.17185693671334,46.799873715290225,44.35195107833552,44.10039915260501,44.26334195269433,39.794975392337435,39.45643775337696,36.93173123807591,33.475564590613885,34.85005563794042,30.931054502851065,29.074027803186137,31.726124241425254,31.336028276616954,26.67370380985557,28.384405145410213,30.256540496138562,27.437790898215336,24.20802703325714,26.86352037161594,27.145550105440904,22.52706234406013,23.57812798570303,27.527985480319334,29.65728296001308,31.248275090886327,36.35698152829069,34.46135075622685,35.31151327755823,40.06179853316505,41.7032066529367,44.246804468810275,42.87448022759659,42.100523227105576,43.539544112406254,40.77260506501699,45.73494692571217,45.98008361460681,40.94097553934105,43.02898001292544,47.784680840356124,45.12077029940601,42.89159940891582,46.28181799263397,48.27904430190107,44.71745431621282,43.31959923988315,39.16468673584859,38.58550780419066,40.26591105272818,37.44545951870665,37.14958540393899,37.249614283061256,34.22343200571703,33.215873901352865,33.029644171805124,30.809354551320094,27.695979204189307,28.445740959251424,27.09954513922163,23.886226083120857,24.176668619956068,27.93723442177239,25.59762418156725,21.875286828082103,26.36354827989443,29.54675009805226,30.9841275710626,33.336328453818595,33.04159795790529,37.50302829382914,36.703090621487114,33.068561449546,36.88145527031048,39.44142382587998,37.188649188989565,37.158055074370374,42.66394529058471,42.79512686900698,39.09302715845528,41.5706267960636,45.99247082062011,45.25711171455785,42.41788902389249,38.438005776448954,43.23001144053209,40.22328851551412,38.688625577626965,34.21409528647895,31.839213835848895,27.125690360805194,30.222480491232155,32.128237228088835,36.002155543389975,35.626882239925045,34.43943527876918,30.273468907782682,31.579867981438056,27.787925617870624,24.546046499372714,24.385626707851703,24.189057068979942,21.615956570398765,20.51812626939372,20.443199235127004,17.77030896382092,15.867158511615099,16.466440077572152,16.51219700727971,12.931173669935887,10.258809644078198,9.144127827097908,10.168854481682715],[19.361149591502798,20.23196733834033,21.784872358375328,20.722356041617186,22.99564169214671,16.388879883656568,16.683811052030936,15.51607909651758,12.421324888076184,15.779488314962384,14.873234409112142,14.47409138863806,19.256375711910596,18.380633314484278,20.363782447705695,22.34315359168236,24.41508448307573,28.23344240576864,32.49976769517535,34.54467468483861,38.237225825044035,42.204155757446394,43.64894181541207,44.44068545013361,41.49001237563466,37.36839477122038,34.9702308493493,30.746968627610812,29.026752713069797,26.61167325104153,26.971788707673195,25.701455796578916,26.973150377249304,31.47972042983786,31.158832265263996,31.548249094621998,30.65188773039357,34.17612780490113,35.54394010767753,41.16162656183581,41.060820209448,39.61785910142488,43.46305396753311,44.95285070164271,47.61846485497072,49.04193795416925,52.36312441317686,49.76934423571529,47.84663587507723,52.10929961864119,51.6309020707151,50.944969025301624,51.00142253725267,45.92280065736411,48.55203034998007,51.67560997772396,48.423161610238566,45.55663500505719,50.025160117306406,51.81172194630198,47.04076915546826,46.52743492148947,43.16579438889111,45.78057375616027,45.12429947980199,40.922371296331754,38.05405479976913,33.867561537814474,32.356678866501724,28.220540547147856,28.904761530245082,30.39583418288527,30.646580896555424,35.1533880189347,33.06514375361196,38.38018555498159,38.515445819389406,39.53622737092595,39.71086096317901,42.30756726267739,39.96007249208377,41.45513545692334,38.09850583412588,40.50277402192199,39.037262062991786,36.008657187434366,37.541139036790106,35.72388582175511,35.911804996528296,35.917051225584935,33.774710102480185,35.486919858635005,31.34754041212107,28.213646169729113,24.296531874629327,22.88852718229313,19.621846530460456,21.46237056840382,18.996126635674806,18.58367629045011,23.538521271552217,23.639698890977954,27.57715973099974,27.264529681220086,32.837575425097846,29.500115948422454,32.4202745429081,33.76238085041197,30.466035264550104,28.035410180813333,24.487767011472243,24.891046813771855,20.712914943575228,23.704207862637997,22.335513985275256,25.099586590641515,27.037290623737498,30.028580264222274,32.015436686516324,27.913735290803334,26.2278399282614,23.10294228972127,24.559252656716033,22.43795680872934,19.931538237830875,24.27489472324042,22.11048213678795,26.073352223372787,28.595537650796476,31.596721310651006,34.056879454811,37.2421005453951,38.76009496199689,36.99379779244541,35.55411195518129,31.554886163295823,32.50939198961702,30.83776091189772,30.03068571247326,31.052097086783462,34.13420612879633,37.52587629422328,34.51300699600403,32.23343997978555,34.029749861735844,30.246724456332604,28.208781936882506,25.18834818157927,24.332141029918233,19.879558725753068,20.136969278888625,15.660369423468477,18.34576256534235,13.947911403772794,14.917391041210841,18.366195139445733,18.84855211721524,21.59757691218415,23.333931985939884,26.076443252636373,29.11724012257868,30.662135563959538,32.37995620696383,35.65641972910013,38.32122232585681,38.21152691837856,40.38101563040718,43.48680942997049,41.178059705090966,37.76315272126124,36.79803654678159,34.01423728318413,35.423767406508006,34.72311489490386,33.73646359788316,32.64303548648069,29.813911333131646,34.110001088359155,36.14701539957455,37.21661455785957,38.244451762342315,34.0738938915503,39.74554750209726,43.09215878856687,41.061039590645194,43.41337964413278,41.949412152582916,47.03335175357532,46.77543274919289,48.53637829832206,48.48944575426878,45.15624065191342,45.12241727184024,42.934128119767244,43.03531232950311,43.57869247016916,39.14808731580215,39.30329148360524,37.06208461915434,33.724958381180976,35.741050588216815,31.99284136585126,29.654268049264783,32.566761522452005,32.81398956341129,28.023183741229953,29.146075469358895,31.715195507708213,29.583629520731897,25.76281941167865,28.453628783769982,29.374115340505092,24.809365408992857,25.201827723727703,29.537305417364472,31.290091103228278,33.591221824001856,37.877768342138104,36.17911390934388,37.53291992671487,42.28004201429226,44.359449564560215,46.66065644196283,45.392463477446974,44.29012006744755,45.68699416964027,42.637595133983325,47.49111123415618,47.79616900389705,42.39184103363934,44.32404297390554,49.04659835665971,46.23641876604653,43.72909784382977,46.93377759410015,48.95765231170395,45.316855307657846,43.41673868963051,39.6783190195778,39.087188907978,41.14993005540175,38.83565164067166,38.61530961888043,39.28069667232477,35.881481183056174,34.61596983277534,35.18652126817451,33.085625448323384,29.480464068055696,30.479848941115804,29.79031406474251,26.62986448761303,26.600938515907274,30.83861755512173,28.918391244974618,25.03755809469455,29.335013207397697,32.777212415347684,33.79408676256975,36.10773454126071,35.41261454219808,39.88951877814695,39.25588418715569,35.122310368628725,38.76260773267982,41.43758457354075,39.056003037427665,38.49968574549303,44.233471267122496,44.37534067283255,40.24781616620041,42.49423447574016,47.2107621668777,46.40363360414867,43.277198765255164,39.10167408995178,43.88540136669037,40.653969651948884,39.70519525567496,34.8535606782486,32.7180574371983,27.82068734339944,30.419270126748923,32.22312963819931,36.06675493970422,35.543105298442526,34.831011356826494,30.197724479291207,31.522580088031965,27.209438277102787,24.74736899147987,24.98394886472796,25.535474916876552,22.780320564224198,20.971245714584676,21.822788700530705,19.763199430917883,16.449758338023393,17.32083307644134,18.675200325121992,15.508992341146813,12.716570321095533,11.608620808203481,12.436849673643797],[18.62739762585932,18.979110809826565,19.804701203619413,19.080657443849496,20.560134877477203,13.890915835073834,13.94785872980026,12.215252214743568,9.655548030134751,13.519569545726295,12.93913526919976,12.014337858000868,16.783797479136478,16.665478246386,18.680028204157853,20.217833254787127,22.32345535078429,26.36468679949462,30.851862565945083,32.52267924621561,36.408522230468144,40.16479224805514,41.81804175897391,42.622518646066275,39.45007659439927,35.473454209808125,32.77435071624503,28.571131375692993,26.750772945494422,24.08865517311303,25.109791701117658,23.24129391480543,24.809537372752438,29.44529404275883,28.79897922679186,29.251543749363755,27.94396141420664,31.617946591569968,32.88730645668406,38.31595321096518,38.52003774557748,37.28929976662073,41.024425082260116,42.50401683238864,45.36035749445482,46.781185045843266,50.05360855161467,47.3055607437349,45.30913711533455,49.44967056770782,48.89668233579077,48.04802975623199,48.12861004248773,43.10839313997631,45.695833487854685,48.98789154217552,45.871663848654265,42.99578521473215,47.51125439108055,49.40902647580571,44.80562612746472,44.47271530096602,41.167575390449926,44.05198756529818,43.21381750525965,38.876781453030716,36.43163582058121,32.18664378577324,31.054448588262787,27.04080566090182,27.977727259878403,29.887657796732952,29.803593623513088,34.090093908134286,31.667347293059837,36.974119195872966,36.670772903286625,37.66107143124549,37.52602651649726,39.92620147423417,37.30233079546103,38.60154040362059,35.04293209315354,37.34935075573462,35.99019800598916,33.08415415232083,34.91024496712491,33.02848545638507,33.62199752653257,33.77291769589188,31.942328628260988,34.042519712467666,29.949875065015082,26.68004767057715,22.6468226141773,21.734015475218957,18.35473828221745,19.44064113345653,16.562527142476544,15.822811743936185,20.668638395897936,20.28080049839156,24.342192099928397,23.742110817762228,29.303334825593037,25.957154510985607,28.827000384163092,30.263189436753215,27.063931636777333,24.506214969161576,21.10904753525997,21.598036271412447,17.608795334814644,20.90416914916649,19.910239443357604,22.94204155623688,25.01191282039038,28.2045975567765,30.47014845990363,26.259649353003997,24.813505580413093,21.530633453294705,23.00096261254722,20.55186716992184,17.738200896870772,21.74668704027663,19.200201436989556,23.04195698092881,25.40655407778481,28.230529739594296,30.870964298647767,33.89499383530062,35.49958075089073,33.58047721541353,32.392791543263094,28.518472413715077,29.711073296976046,28.227448776496917,27.737097354999115,28.63864853014648,32.13973942615721,35.44956747302489,32.41124428633419,29.911889909347348,31.56388714933061,27.67743103547832,25.629551873139825,22.364890203873493,21.19670710268476,16.706627740947216,16.619212337229904,12.120684668684703,14.806966139999716,10.755365663599022,11.88616683335172,15.094818167602083,15.643518339763336,18.13228612872589,20.167554700237204,22.669521130787174,25.97157726938073,27.71764613397957,29.62529461547048,32.76469541495304,35.44052263425674,35.58396148393889,37.506115029156746,40.760908986,38.44025941049892,35.145554854847454,33.96324230636994,31.22071607004218,32.389342049970935,31.560769654866466,30.543159664688563,29.310177245675504,26.67203907277656,30.84632872488229,32.944102921214814,33.863421536347516,34.996651627461276,30.673408275942297,36.358391574369016,39.7544296157189,37.84362675816295,40.30804597493614,39.017471959915014,44.0756484378395,44.07054999652144,45.61423120171482,45.54531931612368,42.11680064027743,42.048365449680425,39.820407610044356,39.84249917562138,40.389521992429465,36.04543012627616,36.114127117130835,34.01570027322634,30.517318596091492,32.642794269009585,28.803159668190474,26.53243350454581,29.733597493378646,29.96659719731924,25.217885985657805,26.700085593767366,29.28599774279296,27.095686000697178,23.561319363891748,26.505580029565024,27.497546246255414,23.00480660746007,23.736623496930306,28.191145297013026,29.7073946764203,32.00864628146668,36.09853584559732,34.11824167602897,35.51171373277309,40.04846938263818,42.31092943587637,44.319382246443155,42.83939145929013,41.53419388386103,42.75517255933661,39.532777324421325,44.35262262185601,44.83896331844747,39.40833763720662,41.147127333150785,45.956599356748114,43.286076040814876,40.65705506348738,43.7492294705291,46.00229707780807,42.47520992007437,40.35164087327144,36.684645098492,35.7810577148714,37.843260442205704,35.61825270039301,35.26547610920489,36.04033996529259,32.49664960225316,31.291224122793402,32.100413293406675,29.93270333450625,26.22968119002465,27.497228913144927,26.99352397793842,23.87956493260525,23.98041064180618,28.373315074817782,26.661536950029266,22.974196973718914,27.305124898681107,30.73810856978832,31.58840383452327,33.63237273543462,32.64391450913915,37.120047438076924,36.80541269135086,32.597690035026496,35.9731125336146,38.8711850174276,36.636041733813634,35.832180814960985,41.53829417400012,41.98592646904126,37.8619001128018,39.83550327428833,44.65029939417102,44.108254169724916,41.019642644576116,36.9973298658582,41.940270240137814,38.93759602052159,38.041027765202244,33.24239160263336,30.768512942340056,25.98733605981929,28.85951115679859,30.344823754179497,34.13127288806224,33.30464559651956,32.32925840790807,27.560113441874353,28.546362510080936,24.289158099267016,21.912313630493028,21.727438711602762,22.379123165900427,19.417182822250634,17.803441663436956,19.073310941889375,16.927594486296183,13.280764339990293,14.96767434639959,16.530884247103998,13.247352874186566,10.54784405941562,9.33938476783477,10.121370184343935],[18.2514533842254,17.995983816295325,18.312986108421043,16.82936108481008,17.941303348531697,11.48026393340473,10.91428900501217,9.671440624914089,6.372540093331959,10.166282813530426,10.07558587281542,9.964725640193032,13.971361276108105,13.584682720429546,16.2438672763849,17.803821115565757,19.36948255510653,23.589866273378234,27.872407997214886,29.656501819302935,33.513322492644086,37.30436294685296,38.857239650070255,39.48376235814401,36.32036568401756,32.302718683752694,29.635962036273835,25.400242329197894,23.88716458452252,21.544763825764583,23.01019937275554,21.381024657565867,23.4709810151234,27.951111778718197,26.92407159133304,26.92604577004574,25.703365893013125,28.88465435606752,29.972463070396724,35.554178868938635,35.41950758146065,34.33333330506823,38.1915550218323,39.475419198021626,42.2449059375997,43.53963820733026,46.888660178480514,44.27281633543029,42.145668978188624,46.34032172143763,45.978879608330686,45.226297426839174,45.442126467889146,40.350155261894905,43.269015547433916,46.419236493366476,43.15843117888942,40.539753825669806,45.14901152155223,46.77063015670681,42.15996604831067,42.08764269177183,38.952751699402576,41.672075711534745,40.602890191775444,36.31292607706368,33.78848567383356,29.66407201346148,28.34853479553905,24.537598835041962,25.320725891831415,27.46615741386133,27.564126216013094,31.713452656945396,29.485889231547773,35.06972076590789,34.511709686474234,35.86624639613828,35.5211228641992,37.716096217549705,35.198625586636865,36.24857828507471,32.929921042731024,35.00991469639102,33.35174126166024,30.589037947459314,32.38867174186259,30.93885096766423,31.326725191215537,32.03772420512684,30.069206892559876,32.43951558343459,28.414592275320874,25.337965245588574,20.99632530317153,20.47563811063945,16.684863596342698,18.138805389793006,15.244772789526825,15.487046672427054,19.389498251785277,19.17460363337399,22.651517555247715,22.083058243749775,27.353901618473316,23.90007952781921,27.0800035674912,28.264035556415983,25.077973102936184,22.678883854146935,18.95775246300662,18.941664178977682,14.663519359058887,17.64541622810107,16.527935015800054,19.43221458535005,21.62293337823845,24.704581553445088,27.18055640304924,23.116344333054403,21.528416535255744,18.162834688820208,19.443782915425373,16.965520517881956,14.203993510085493,18.38333651320102,16.376368452598324,20.170137039697703,22.83833179414644,25.759422536141038,28.33029371518546,31.578344874877786,32.87032935364983,31.139720526694127,29.55818254516193,25.523281953498127,26.713230556895898,24.936763478749228,24.266727691686732,25.174486582168555,28.57213577970219,31.939770393249933,28.976894223780292,26.493862681338495,28.29476524236143,24.566054639210606,22.38472556948739,19.340726148845334,18.388958739951306,13.942523649712195,14.559279720165843,10.518561271693315,14.308564003645063,11.619509639885456,12.049853768176622,14.360912277818947,13.970438815184961,16.42815565272248,17.977903356864047,20.3528328311702,23.11501466173356,24.869958316737346,26.406576989823623,29.746444995729775,32.27987705412117,32.22622972210751,34.32423688150338,37.49613148360224,35.258385486144014,31.85050227553801,30.79911585707615,27.97458873102237,29.35168742681596,28.726850042664545,27.90377228127816,27.036466293592575,24.387289483639815,28.933910221088663,30.58652192114656,31.626397569138433,32.33945400566352,28.215278856124378,33.836433352790294,37.1269610923687,35.026242227392274,37.43357166919377,36.0629901275878,41.08544500008036,40.841845024051075,42.50298289205521,42.4192938641426,39.08078865787436,39.06822757501509,36.933580243556975,37.12690091223192,37.835784036030155,33.490250163400695,33.87137334825764,31.918721756820613,28.594465998378517,31.11906853072919,27.517507088197036,24.874672616701613,28.150948017914235,28.887530764246065,24.12581659807393,25.103634364831187,28.171634875728667,26.602831534627413,22.67448036571178,25.604920035829938,27.092868275229385,22.779624082016333,23.049810556129213,27.71779930458748,28.85426894204311,31.66343871166194,35.0175939807432,33.15999506485859,34.93977281745305,39.40175584760188,42.02974906299524,43.79882576314922,42.44593625401983,40.89366008153948,42.12446404480117,38.758907667380846,43.4469810627201,43.89477069969232,38.21449213833967,39.88795800901296,44.59138725951923,41.784021774585696,39.0025136027761,41.98337906470695,44.167881997690635,40.588743628707086,38.19289473297977,34.810301584510874,34.03384319188038,36.36299247419297,34.527167993638585,34.37358296787689,35.63328490102704,31.94213691464189,30.370663799850977,31.73576402114736,29.865358529941297,25.76143199195138,27.029651273387895,27.154533968931013,24.181317155471923,23.86254818327022,28.573505776675983,27.314849908011084,23.53333204598714,27.54351271540826,31.153464197034427,31.586255890962278,33.59064398248383,32.30413459825553,36.723872740888076,36.49925773763139,31.9162104388475,35.131334993156344,38.05793499459316,35.73622286072362,34.53233879286895,40.361102931627144,40.80351598979966,36.40009233469863,38.18306603235152,43.17203963833722,42.59501444901992,39.33077031827149,35.232105444764784,40.157944973424016,37.084813028880916,36.605548795380955,31.617568558700327,29.259710183202728,24.462019858264977,27.018029185799893,28.32316239156207,32.031399262943694,31.06107935444124,30.38127334190949,25.351772870586547,26.366877115830597,21.81991125642011,20.008471858972953,20.260338195202486,21.492027759036702,18.661396441503694,16.313184498300842,18.20984271069474,16.791107149901503,12.196260557742844,13.892952938296842,16.47805097043634,13.88030388677478,11.462330252998996,10.65199950279541,11.597020536002274],[14.800565015913042,14.100171803489939,13.911209130631494,13.305254733472234,14.173765805764079,7.499843032271762,8.12360482083297,7.18167837252989,6.418950608809025,11.129505086865288,12.428579329920026,12.137458198763229,15.106185315136704,15.56944092682721,18.75496826247253,19.669106544611676,20.68662253463499,25.276315058207064,29.472174246481234,30.877698420781122,34.89213097509708,38.3814767690623,40.0724658239295,40.44413809597992,37.029473336931666,33.2123546630705,30.19034606995204,26.029221138922978,24.853467566874247,22.465367595035563,25.217746551518005,22.833205860319623,25.462281288485578,29.98852886814442,28.375893861999394,28.25986529167106,26.350491872767044,29.34776574293159,29.956590971521237,35.20815530652441,35.259350131825634,34.86384404608223,38.62709741173341,39.59648939482599,42.54383879357508,43.556871955612884,46.93483354783817,44.29659998745459,41.76929414453987,45.719556968603776,45.56312844023831,44.54164582131378,45.02605565295694,40.03652886965103,43.17874969133549,46.556335658555064,43.45843465820706,41.08432203261681,45.806330449570915,47.39138168435138,43.10137447798892,43.510272504173564,40.59816026825636,43.53747908963234,42.07106512738079,37.68663307151724,35.67467904649799,31.660135361579204,30.604014497085274,27.17740298556503,27.990555687562992,30.561499196677488,30.59689523617684,34.40055340315284,32.0274066806817,37.642717321309064,36.45622527777106,37.904770516593274,37.040137291720285,38.78385293363055,35.84605436321979,36.30114646405823,32.67843196826682,34.26189499102732,32.61489800261163,30.420055943443785,32.850225062686675,31.58704198531711,32.597088291487786,33.77135391506809,32.23480246577392,35.11580346147194,31.234153196489952,28.114968094264633,23.704134471258648,23.80651056761841,19.969840382643273,20.55699758725214,17.18875353372219,16.7198191600018,20.227480405671702,18.586275645323838,22.280954359150897,20.481094989191405,25.297698514849056,21.293065451608626,24.000289966426305,24.827512056101906,21.27849366087137,19.231078710662164,15.346467817397842,16.32204692036131,12.50961394535052,16.070442098825193,16.37232252644261,19.217059625621655,22.1098448576811,24.997136123615473,28.37091474988743,24.588937842184055,23.008331763042634,19.43525475709768,19.864467098620597,16.78090489963387,13.234095839912825,16.43120957378691,13.075788664932988,17.147437523221544,19.396316285590334,22.69702962391324,24.800203482658052,28.034455522174984,29.725394672779103,28.270878324220465,26.75383899420989,22.95404052716232,23.627126199068016,22.642057456354625,22.60898974590798,23.947038673904384,27.880553841977353,31.55622249008552,28.96450848181233,26.095100626835077,28.018462709075166,24.51645177458402,22.017358510595372,18.907625580238264,17.194302085667005,12.807148969546715,12.413586838123713,9.290729413259378,12.86249266357292,11.160006079964159,12.788911250683995,14.374006234165845,14.113538887903555,15.30766749933834,17.691493710907856,18.674862044260294,21.559015589832093,24.255439606083318,25.39141124861728,28.836027313145145,30.788120718103947,30.551036757061983,32.16721235263011,35.267543283766685,32.63746268612731,29.54809533293251,28.329758664918607,25.962086131976875,27.506967742192852,27.083807351601735,26.668872176838835,25.775044092503272,23.901467814655586,28.224044200979925,29.707468206349386,30.2617015452379,30.72911374267454,26.076599220136266,31.485945259200335,34.76538466824367,32.876994392021395,35.9205115382907,35.094266573951984,39.85320072945557,39.789970376519804,40.953763725622366,40.515024934909135,37.05099991401758,36.54120815360694,34.103907452231695,33.979655908597,34.31425976178733,29.837010604724473,29.915010467860892,27.68313872998468,24.377954202977673,26.60326323170862,23.028902383873756,20.416485714469893,23.51724197004002,24.15399239671271,19.371928601346387,20.477254789564732,23.41269034377875,21.854713278418057,17.966761738582758,20.997940536149837,22.501518768202132,18.29188151209572,18.772301318570612,23.445225271005327,24.44248689641792,27.195035749724706,30.494480599945582,28.479099859137232,30.245194416332914,34.64246738836632,37.3482627907632,39.03450916793754,37.71383748558906,36.16535920847514,37.48753474801947,34.226422979217745,38.92882172497343,39.230338691599485,33.566509266948685,35.39784726531597,40.04630686068506,37.186179250000805,34.52644672725604,37.66072395210968,39.71763765254987,36.12176567215372,34.03049690344336,30.389788343418093,29.846868238944918,32.070364848484054,30.071308319101558,30.157856861913952,31.442675400517892,27.97907917672142,26.09823421377588,27.335783362726882,25.783074914276586,21.546597778435718,22.473580819043573,22.81127275635974,19.922701643292346,19.26598942363458,24.08196580495235,23.08633300151225,19.268174167198264,23.064286799980827,26.730747825875277,26.967164445379904,28.966148749531676,27.659562455723385,32.059726269407264,31.776702626458658,27.13666926277331,30.387901047030287,33.27328029045809,30.95491082046213,29.79959848672204,35.61494804036155,36.062944824910645,31.736861351416874,33.568652172407404,38.49610380135012,37.97513898014215,34.79990375182005,30.807610855966576,35.82172448901654,32.943534566574385,32.273879509647344,27.440307592312497,24.80454161586509,20.118237160803602,23.05582299089584,24.221743618282567,27.93415925100417,26.91980828783245,25.931324233034175,21.078267512978897,22.150506514974026,17.883215320474957,15.51264844291335,15.881494166915063,16.972539519640318,14.535748922331617,11.822520723722423,13.440642025298514,12.322838321157327,7.690389421467873,9.204857314098598,12.0178963374467,9.947750391380277,8.11196287578719,8.24015366353607,9.97345628985379],[14.638910094267777,13.347580126563235,12.827372458360536,10.848391268627148,11.750122539189954,5.4259536132600665,5.565376722744782,6.697629172728675,5.350389073499661,9.32290751829613,11.465147087553275,12.375025595792925,14.049518074667372,13.879988109402332,17.85944631669817,18.88692676242611,19.06518271460237,23.747356225125344,27.482995276794245,29.15697625630725,33.023325343094726,36.594753934113534,38.06081387657762,38.1482076815201,34.83442657717829,30.939482322574136,28.080977295348447,23.91749883485556,23.303450168423293,21.499069415477344,24.590110886352367,22.717119745133022,25.78272370937766,30.02353306778444,28.096396478904445,27.408235089029194,25.737595037757956,27.970606023135034,28.29963411816269,33.75292604578544,33.22226991056879,33.03557987964618,36.976386206449725,37.63537019215593,40.38653694143409,41.178210032070744,44.678087268738224,42.301326045920995,39.578126241582346,43.605616425264294,43.78027829693201,42.922741395408345,43.61200914782395,38.542739792137006,42.14231199041238,45.27792992236913,41.96899828534171,39.97047242664456,44.77355531455967,45.95248585571769,41.63851868090658,42.34089846145149,39.65370103412101,42.27432389258938,40.57004859713,36.32632903846602,34.093235192285334,30.31369221534591,28.885919712408914,25.759192894893566,26.240456614417997,28.92171814793586,29.33778666763751,32.993066015476465,31.02300445081867,36.91376052290805,35.573032048304334,37.4552581104141,36.44158168582905,37.967568558307796,35.25818810376483,35.4224381390425,32.180427992396666,33.44563518953365,31.378373136231342,29.421078133608134,31.741692714911878,31.076302081391503,31.716709217974348,33.51683472785758,31.744635359794344,34.77632894853622,31.00199111452356,28.185712062258798,23.566872856731244,23.920749362114183,19.796928963015365,20.99171658694771,17.848409228237074,18.406461031896427,20.933913739376163,19.624187627397504,22.52387124532688,20.78869774932887,25.068139658611862,20.904313498423694,23.90069044181566,24.243843834598355,20.6256586160402,19.01999733688811,14.634354634415054,15.01173785887007,10.821679210951274,13.722419261146529,14.020934681287226,16.407626415232585,19.59405636028771,22.102549143069062,25.82171767257629,22.413332392808453,20.508174990258595,16.910383773841826,16.742649724011255,13.634979102579464,10.072746541849238,13.51183934650851,10.952037132486394,15.129814832863392,17.84267573847558,21.483142351128983,23.21140659191219,26.850330877282378,28.13092707302271,27.114952550034424,24.90051134597776,20.854027144018765,21.180963203944522,19.836107712094567,19.475843663158354,21.0651601648079,24.710557585097348,28.62238595000351,26.25664834273037,23.462127366243696,25.716965424423623,22.58640105063638,19.849835370758353,17.25661342226889,15.912474586531124,11.80410330977018,12.455279156370338,10.392700298921032,14.808424735065623,14.160524861668705,15.115299933277447,15.958136934484692,14.726712495086101,15.793232966925766,17.445656619371206,18.10988273938004,20.03225865623537,22.795427900942357,23.179214755744805,26.996866078298808,28.59743105053224,27.85908004535323,29.77065694432672,32.63292260222525,30.021280104501916,26.762812239840255,25.846927731460433,23.45783363511227,25.517227501679443,25.51566255232529,25.477908518559328,25.151494905727517,23.325274486662483,28.064423925345263,28.919183357390107,29.617130884133488,29.428050423916876,25.07402964754262,30.290448282019767,33.3739864687714,31.212383616420574,34.23326860553385,33.31503929615987,37.967678100178745,37.47687029773399,38.81841908185107,38.29359779618098,34.99229449443325,34.46174629458969,32.11062464185035,32.20026149758555,32.664425420582226,28.10723724300196,28.60989942356282,26.428188500758274,23.52257083665214,26.124886995124488,23.00013480211551,19.881867369283487,22.77764826320754,24.088959311869292,19.35451149533826,19.459837357770883,23.003651257924474,22.355966638654795,17.82255371333557,20.60346235426735,22.70890062832741,18.801204083785493,18.432781432047342,23.242871598632448,23.84766211231873,27.23746710994733,29.655783521948678,27.979968188126303,30.208637572069442,34.59704562924489,37.640748826783955,39.18462202375972,38.1699361094722,36.45827593311428,37.907964870152384,34.62821247986076,39.14831182919115,39.25868330031411,33.34344752833215,35.232125407441444,39.645847339524224,36.52561392985723,33.78921527402901,36.863884582075656,38.64448992256925,34.91384974925671,32.68510552241806,29.344615929693905,29.24450501311211,31.775345473295758,30.209366458960165,30.674644369526476,32.46422820004892,29.003016989465696,26.61923282438318,28.345131041113145,27.26279375288731,22.692296087704136,23.364633049881128,24.367850470785342,21.703208387585345,20.433461940043284,25.426739599561497,24.887854833424615,20.93180674942684,24.19925636602979,28.026095791512045,27.82729949044422,29.919196024394488,28.450891012980396,32.71653483301503,32.33540813925271,27.31677158450624,30.503867909235943,33.2407489542053,30.735131954485478,29.24026355365916,35.186940083511416,35.42387748038625,30.76406877045703,32.52824502998142,37.58430759049608,36.85457680534323,33.44759226202215,29.277231393270867,34.169295051520784,31.083376931996046,30.9099181856031,25.822220561687267,23.539581773073333,18.79743213600114,21.138390494540726,22.24133224031185,25.88681025907498,24.874942126706127,24.44107941780882,19.373409960406107,20.772557889833077,16.125764166143274,14.466922609717058,15.878937394500593,17.625080319911753,15.696960462859106,11.892717813322617,13.928078049013642,13.975018273711603,8.805657633865538,9.325894815833221,13.285691874644545,12.353727691330908,10.972780839879166,11.503556760318347,13.186131276031906],[16.205799168079775,14.310282955142183,13.222238292699899,9.70817861994228,10.042590856354291,5.68130625043364,4.28327991909803,7.6272046638791835,6.127389344723553,8.028179102195283,11.044382599282333,13.116039079208,13.119656331000474,12.311806498044485,16.998836847051155,18.030404177204254,17.197945664156897,21.86987008332341,25.02127443330393,26.927065027667485,30.596515878150793,34.20068418991308,35.428892856488,35.20949297704335,32.00972952343171,28.07743393844332,25.409540752231916,21.31199634719037,21.36176243049621,20.271420773609208,23.732224253794172,22.424393147410832,25.912489612432537,29.75414120441293,27.48481930360504,26.17290052950503,24.781635156302556,26.10968563435342,26.11856111414594,31.730930408270588,30.56736395048093,30.611296859503536,34.705291945731744,35.025184356608975,37.55239724044346,38.112980679552166,41.72182568025032,39.62568322811525,36.722482102737416,40.818019884147716,41.32981906219844,40.663050543458546,41.556080206339885,36.433613071633175,40.49705785926365,43.34595166240619,39.83181698430612,38.25533731059946,43.11042127012388,43.84669760019893,39.5426534441798,40.57305052970694,38.16301655781815,40.43680386137307,38.46709426559132,34.40574283833299,32.00184259566326,28.533346504587,26.766387147023764,24.073064748365486,24.208850502382756,27.04257363356359,27.812415264567207,31.196321840032496,29.65730519501436,35.76310761247293,34.212601783533685,36.548858772753604,35.35258137819688,36.60549189718976,34.16765181976465,34.0092986743725,31.23809411782093,32.14841725882231,29.64084860823219,27.95982665448079,30.12114780512089,30.13010315879046,30.370843253772122,32.85386034014182,30.882285532250748,34.08135646683848,30.4978363403627,28.05820457921136,23.324697692667286,24.019678310236465,19.732938072305775,21.42351913182465,18.61751764481842,20.180569649208504,21.575117864723033,20.67052169571866,22.60999504747271,21.061524742988805,24.66998923319361,20.51449590941031,23.819888174366888,23.697995496122363,20.206856371305204,19.047622632546915,14.390004813102491,13.845463035067567,9.474359098427225,11.193949505924964,11.417943105874404,13.129735770781348,16.614298306676652,18.650494320959577,22.755454767033115,19.83556015900956,17.63140512669664,14.08517372195477,13.15186999405689,10.024078666085803,6.548137400808225,10.302407775221452,9.305897538196527,13.205076690832602,16.440515146198976,20.234351625103926,21.626838549303464,25.62288891420854,26.339224994561427,25.760767526762365,22.808492265003242,18.524870898436806,18.60515514913472,16.688547262905345,15.869474282495428,17.659505292091453,20.948401018225155,25.063009457464073,22.94613022533724,20.26276821389708,22.855433436430694,20.20035959652382,17.253138745980106,15.37196891310066,14.570393493010416,11.118113258218575,12.95728185915351,12.107669470488572,17.004668898092742,17.356359116185132,17.643798513090932,17.71019722666696,15.563675526703626,16.45153813869548,17.189753285396996,17.52626211326726,18.251417979837022,20.95741272246065,20.483975459728253,24.65720863248314,25.889549341197103,24.642414754144884,26.914801402431095,29.528876067292813,27.034990353086396,23.565428841316407,22.99764190058948,20.532862017948354,23.10998591632949,23.561766384585273,23.91847164257168,24.24190546776419,22.478596504577226,27.580687848835222,27.726690583996678,28.604258970645834,27.705970610172628,23.820577172198444,28.757238515192448,31.589210678201862,29.12476359726797,32.0195290258937,30.968414455414116,35.486503938584974,34.53315175369665,36.0955326906806,35.52590643705,32.427430538817795,31.958542081107808,29.777562014550828,30.160632313766456,30.854827428567987,26.322099956792478,27.35980113597786,25.39789370984308,22.95362648046056,26.036627245527516,23.44346416516729,19.8853534561884,22.621560998474106,24.657490553692842,20.152621493028132,19.287388068769566,23.417230775427505,23.720651096315418,18.821658370501094,21.30048978556605,23.980703096093706,20.533390135145165,19.430950996248335,24.22327037469292,24.324276688836772,28.300516926969195,29.651572939147044,28.302445055362504,30.998263950343517,35.233763744041234,38.6436852828616,39.92802738504508,39.16528769249901,37.22329185030295,38.70814828196101,35.362511121645746,39.6215355554513,39.62025016703282,33.4871516092454,35.30736642887128,39.45735065320675,36.14538781671472,33.28173099937672,36.17676586534826,37.74027587133775,33.94617848468087,31.425565496429236,28.57021394491457,28.803001531567826,31.663129820555117,30.66474567326165,31.434783016415913,33.768786997721534,30.26644004351605,27.4736263183064,29.79078209228327,29.1229580665747,24.299133075317453,24.861884014790693,26.530726535220793,24.141443350575845,22.43425239464516,27.50898098752612,27.443626875816857,23.529463478803038,26.264493497630564,30.149347422126333,29.501520076182167,31.54899220083801,29.83581041594484,33.897004786957986,33.550642231083614,28.211540411320986,31.155734797076793,33.78545965139613,31.177362113124516,29.226187642669906,35.21442433897941,35.33697029597091,30.3628116300753,31.894515979859662,37.08296941041186,36.22264484069877,32.59419712122637,28.332139895264007,33.04773655508389,29.82336493499646,30.294191236585167,25.019509750383712,23.12576415325594,18.54114904973487,20.105384114589175,20.966019573779032,24.398215579205452,23.27705301681481,23.47503661466924,18.19629599743918,19.76525782870643,14.788442795016783,14.308180474497993,16.574872077872865,18.990023097525924,17.496551790857545,13.011517733092049,15.557432720959275,16.568051507300446,11.213334024080684,11.261121789088154,15.867295030016926,15.757919512244133,14.712614914341074,15.342979551459807,16.875327316703427],[12.175231179086463,10.19230574100829,10.025100425497163,5.5608817166053806,8.922569966569949,5.856858966272496,7.709417382040843,11.582319760762104,10.962819669019536,13.17012484800195,16.06948997335784,18.11149120806748,18.281977599346934,17.198678996568425,22.041150650303766,23.17891865860858,22.058011762047965,26.66180992237295,29.371582358843952,31.456712237520673,34.94705703741829,38.526037232734296,39.54574776569365,38.978419542928066,35.90877012672007,32.01686698218509,29.519562261005284,25.574499267521077,26.103020307235965,25.271152591228443,28.851431193032898,27.58636232380518,31.088381711330157,34.942222704238006,32.611643723374435,31.178032591603998,29.720057256712618,30.703271185845498,30.369004685658293,35.82197498225187,34.34162466925571,34.8349721342924,38.95878434299896,38.90635060207697,41.26513421305562,41.44902499894053,45.15053017728584,43.352607603627405,40.10558198313141,44.06261576810699,44.992201440172906,44.3029342676518,45.482653815091886,40.43822399832845,44.80872497286779,47.60743754529261,44.07427838264854,42.81766101625699,47.70078023719607,48.19206447307544,44.00933487279165,45.30002537156966,43.0489383066825,45.14642160902726,43.012331231624124,39.078820480820625,36.57576744880234,33.312805206281354,31.247074372350365,28.732449366881248,28.54092925683707,31.200321915335866,32.3951249065553,35.77004533798486,34.55037337310332,40.73513922409612,39.1743763581467,41.644569551511104,40.37197077417695,41.460214469863516,39.000079323750995,38.52924776399827,35.76329832705043,36.30016859674054,33.6726276089818,32.433266210843975,34.76602806019153,35.0218708973348,35.3061094294242,37.987738396103076,35.995370614553075,39.17443131939766,35.59622254942616,33.196561817838244,28.45579606316697,28.998352654873134,24.680656653264712,26.5434951157558,23.665635491694957,24.785555810898963,26.528649211865822,25.070622413249566,27.2438545574705,25.026659650820974,28.16390587142486,23.585008589946373,26.29315638962026,25.529781693306408,21.532651212512132,21.195683181114536,16.37513373308496,16.915516427169916,13.279133313161507,14.791749054130797,15.84783958522851,16.799703283357047,20.62921697417526,21.915823502966838,26.49126146791531,24.14540495014934,21.590126459984873,18.229784787962394,16.295199699117312,13.4107073165876,10.239400916749537,12.727878891741048,11.01804134774283,15.120585999605673,17.895525608617323,22.392922265997868,22.59388299651948,26.82908282190092,27.813079392784765,28.0061743460758,24.650780928178055,20.625649533488556,19.24856814039499,18.14392028516472,17.502923339596126,20.18193975008717,23.075029371004817,27.702639739749728,26.229818482745937,23.603874038564012,26.547957039737593,24.443788840895472,21.305832814290365,19.862977296901676,18.844933776739687,15.706939278935486,16.833304115352988,16.259470974493443,20.642465052572746,20.545985741712183,21.704004411926366,22.1008513570712,20.35341510166437,20.78783992443094,21.97096607846328,21.504845848639672,21.93972554686563,25.19380695935927,23.93101987234265,28.336243773698165,28.74924415986314,26.69346578499108,28.787577663823512,30.84838550354022,27.869535605230872,24.680604642440493,24.460839664497275,22.688132367224966,25.952333273188845,26.91719289728553,27.793361519847494,28.285175401352657,27.029155050817298,31.971228072287637,31.89273751207632,32.46784115080097,31.12473093280617,27.03217366234588,31.505563429947387,34.12883361562662,31.74514240259087,35.15528503079215,34.475056289916864,38.60805198519575,37.37883647067622,38.698252302911634,37.69558179855484,34.71148162610817,33.63958603380631,31.192848046185873,31.326272452336845,31.48848036608923,26.68473892453409,27.548106636614467,24.92182752865465,23.080970364010565,25.47672905416946,23.329107764575316,19.697960023504503,21.296164574277736,23.398593186484746,18.940477089737033,16.96326556128279,21.05970917305494,21.88928297054835,16.220160051341452,18.070422396873933,20.93367743858953,17.678121181429855,15.610157054911497,20.28550299983466,20.447708225710485,24.731485702576173,25.95368029928571,25.149030823618304,27.95898360460653,32.51330615617257,35.80274280748095,37.477436841260335,37.278076253943745,35.69458912328823,37.66481074616799,34.82718536668713,39.067745900844514,38.465868896429136,32.410721914480725,34.82768133833681,38.60723290176612,34.89920100239105,32.48326897570305,35.76861886534389,36.56957740855435,32.50646985524427,30.924820736518054,27.679880115888974,29.042791539659593,31.755315306075026,30.477291895866983,31.880095189560052,34.083031041382554,31.187638721898765,27.898633423139316,29.629017485158826,29.56369991397063,24.83764843512501,24.394133819133767,26.077802978827382,23.800618885298128,21.33903371438639,26.188629854679494,26.211127294560328,21.923086048373143,24.087164574624676,28.085521600875246,27.3278678452892,29.89467984551089,28.692358411853665,32.62903345866162,31.560013614026587,26.209328378609616,29.687472857202998,31.719857586159307,28.761638071101842,27.30107660589006,33.31248898874983,32.722112086956415,27.735996932005442,29.913216949925996,34.809120662015985,33.386540244389145,29.71232197087972,25.172841983636513,29.633677171431483,26.058106206316822,26.369758528628118,20.988977806272022,19.64412785253787,14.852032986982895,15.982109673045649,17.45504883090829,21.067531750615114,20.65851808412244,21.28674700275902,16.689018003295555,19.329882480797572,14.85030092639575,13.529071927188683,17.169664195112723,19.129194619707427,18.676103403834098,13.653210302439382,14.654564680194872,16.44267451782794,12.319607525976934,9.782380938899065,14.291375298164713,15.309537129183713,14.747480607512413,16.210845122933176,18.242842814436166],[17.048135265613638,14.718037517344474,13.916945551827352,8.220057645304616,10.074968251311496,10.478758108441193,10.510932110029753,14.991654283762864,14.022812774092031,14.170563422065356,17.353047631457834,20.3990559923112,18.94880772224472,17.051339048560767,22.265603150064194,23.43761274895831,21.11482509547238,25.311208157869324,26.93084822311904,29.392519403931292,32.391185173569376,35.9733148646386,36.532330823302175,35.4684742846767,32.74093843539037,28.878488064158745,26.901946213719256,23.28866064532693,24.812472512495734,25.0561735809558,28.758887514624693,28.379717738487315,32.20934004857397,35.45046320608038,32.8228801250538,30.61038818914212,29.68786120697021,29.368129568377825,28.610809201360517,34.14684397478322,31.64794662691559,32.43082181645907,36.696023035204895,36.120255626236705,38.0067227576878,37.7988980826094,41.62851585915028,40.36745910402165,36.914719673119386,40.93924596506176,42.4080603863224,42.07458127751306,43.52842649991762,38.496033245975816,43.4642506098691,45.7406690830681,41.92954944695157,41.32293047135481,46.17557723379598,45.974300782647006,41.836746543342066,43.54181812841372,41.71998575514695,43.204838451874735,40.76222712650296,37.22988175968589,34.42702548722229,31.748038654385788,29.15628392476598,27.36220654579552,26.59826474441089,29.261522267190706,31.023919830422102,33.94426888177052,33.46616905069718,39.79428118018371,38.078666735139166,41.132555913106025,39.710781856041436,40.44823963033426,38.49491956210211,37.650438250101736,35.66245906053772,35.741230377465456,32.547506273733106,31.698571334964278,33.63929743456583,34.82267877169409,34.44802690607708,37.943123252345494,35.65954839740662,38.90366389280933,35.65085310056047,33.82174418259047,29.099269248437576,29.951504876723995,25.613795172356575,28.107075449233307,25.758590883944997,27.975826359833004,28.522898199348433,27.721279880701367,28.733447892956427,26.965884884832345,29.234286092461875,24.925383618063243,27.953118686539998,26.653349218595316,23.06769493771093,23.271002958630508,18.501970015961234,17.80058204938216,14.477774361175328,14.063877361930608,14.775346995609707,14.247773565284433,18.085927322558863,18.232083572640672,23.144049907493383,21.836065308578792,18.892602841471174,16.070292272628862,12.823187035388623,10.727046753916875,9.115101739782835,10.984334959989962,12.210344918414226,15.121251101696284,18.326426244684953,22.687793099052843,22.33422139830036,26.9100700296004,26.952944049788538,27.8304731059644,23.46147829657948,19.333828738610233,17.435614757096925,15.401555942690194,13.777216921049275,16.85040961568004,18.56831315221693,23.48275499121672,22.62259559506981,20.450662137818075,23.853090417636757,22.700824830074733,19.507162694596083,19.335730939263957,19.214623109143087,17.17465483546533,19.47288266201304,19.82193163002857,24.618403963270758,25.339913167450877,25.71964195079664,25.445265227058744,22.83925222845005,23.237792301993004,23.28962863108366,22.6315130229347,21.443128674673805,24.30888940417688,21.76445830890524,26.504233714616475,26.27788877082871,23.294365879841315,26.008694774382477,27.461442571767222,24.772530140569632,21.309705437588864,21.867246121499416,20.129271939999967,24.172078562649673,25.826125351736117,27.223826128586822,28.59834621880286,27.39519729935905,32.6480931865373,31.63879708499695,32.495116018155635,30.194520618108857,27.009438333191902,30.895031678948925,33.03804666769972,30.237768039781745,33.29447702348488,32.37893332656984,36.17895355572357,34.144815154686405,35.85790895956054,34.80351157132972,32.275270891669564,31.339518581207557,29.266971390270545,29.900773059639523,30.430477285473803,25.837214881294518,27.54222332911429,25.360996146004005,24.336709368103392,27.310686243240294,25.970237616046024,21.966015242713638,23.24525183608148,26.24514031932932,22.326580729171965,19.178629907979097,23.823530801177885,25.84139772731589,20.105061905285957,21.404075722631827,24.84018978328839,22.326564790411794,19.51633011649073,23.796481813721233,23.250564527166926,28.153854824911477,27.75281648462902,27.535838143517363,30.910357845324025,35.118789598658886,38.834217770546786,40.12642597918183,40.287873822973346,38.42006274467727,40.39059914028201,37.505848083490264,41.303804318732325,40.565809994654245,34.339273526214335,36.590901115885124,39.9025715845618,35.98302616793739,33.44726757531359,36.37393285355225,36.79320762651223,32.715017481855874,30.753768717509992,28.387675194360664,30.21781880247697,33.32043802620811,32.87628893921389,34.60802433396221,37.45767379479317,34.51612423755571,30.85580270574923,33.310768351668955,33.67004356580184,28.75980145170315,28.31124069925082,30.691574934020505,28.740498443324533,25.98546493640445,30.790905411259583,31.31594662205742,27.21323321327358,28.78460005149062,32.726281188333665,31.4635917410771,33.88765005844768,32.39118344836146,35.97357132960663,34.99277405357094,29.386877975749602,32.412741658996445,34.23588247128218,31.216312717527416,29.15563077831078,35.03705257664225,34.2556094001641,28.938074969239405,30.710592966401272,35.66011447617511,34.01474454116319,30.072269669783626,25.508150104595178,29.447362090668374,25.669340577812036,27.109713983528373,21.63802874366352,21.157759062001652,17.02905497208308,16.5536587213956,17.573088963285624,20.558278189094498,20.104736898247122,21.90769881910579,17.38152137687095,20.153565483622195,15.64058354995127,16.164976727926,20.41910484797401,23.04782602559806,22.90435111476666,17.615801755521826,19.243821896454964,21.697946075701147,17.32862661950756,15.184032589243566,19.87187226134268,21.256405514974603,20.770768715958756,22.030124997928496,23.82155048761764],[14.254724923250318,12.44489656903558,13.001265145048798,7.446069833983195,11.7774100712882,11.585048786896923,13.005475875887,17.303010427353144,16.261180437434554,17.304502923459506,20.17912177015977,23.000487053281077,22.415719571738222,20.40533631596464,25.562332918735837,26.978466636167777,25.043772712191863,29.27983030024491,31.01312001927614,33.61401576803705,36.603313167691255,40.27923370088899,40.784337185292486,39.71392530343873,37.07333902532862,33.15908189103333,31.256269132333518,27.592688569211987,28.954335646727415,28.97197016582101,32.38253146939093,31.92429230076371,35.55155628424519,39.02314108910156,36.603077483673985,34.60023595445844,33.636129356396204,33.62783384258001,32.953224831126384,38.47548165687998,36.04886773597099,36.80468187913497,41.080533249475614,40.52290503448525,42.37321503628238,42.11360236102197,45.94790323721614,44.750932384800784,41.26353362293963,45.23919602800166,46.76622324872098,46.390843802323836,47.86839124278217,42.8515456861299,47.765496961446985,50.11131045743916,46.31807135809791,45.63888665304866,50.49680918682963,50.35542033728527,46.17615244800452,47.77241604593027,45.84693700753789,47.326730106535976,44.997690694426275,41.453438638466174,38.49081568124978,35.72122158443639,32.987005072082475,30.94925640174291,30.11660405722013,32.50159718482212,34.439079767093965,37.62168851332421,37.190587320182765,43.54420512774075,42.07139516934403,45.01189637903929,43.744121263833016,44.63338139594078,42.614008377860955,41.871107765059435,39.68920699792294,39.84031371167641,36.75975726604227,35.873873509357416,37.882776904128875,38.84827614385721,38.54049308918212,41.7718154262185,39.42604462581798,42.49299260043728,39.082631390286245,37.10213855031636,32.3515519483094,32.84755336619125,28.474251939789056,31.11403285239711,28.616718476582992,30.371139803570067,31.656265388311102,30.600272436498436,32.17951860199604,30.135240606044007,32.63752905507987,28.09225405211535,30.777710803960417,29.402927794182677,25.467208399039954,25.824545988975416,21.006689758501544,21.137734739843644,17.826466983444565,18.06168870672224,18.869046526249335,18.59187164621031,22.36402266827263,22.517674368321412,27.246112285868808,25.8703962392374,22.812001589761817,19.973200922921,16.956709838677074,14.981528777932212,13.109873985465036,15.046427137325194,15.05928356088373,18.406459002240016,21.226663844851032,25.888504325002103,25.14036035144933,29.684758692530878,30.136695712945144,31.182648980589093,26.953052749467133,23.018510289137797,20.577089891618762,19.23143518521219,17.901963817503507,21.152813321921784,22.737583945216997,27.71861507475073,26.977776486206313,24.851883312089978,28.256054414992914,27.0198883223067,23.825363908906073,23.393642262279844,22.99063554397817,20.519756228744356,22.254686237325142,22.08700537860167,26.639434804265093,26.601673352640844,27.56229614834313,27.858481551362164,25.71957417595675,26.19149569852225,26.762929991831435,26.11149422660156,25.40972642043459,28.480417973074086,26.079011712598486,30.79475798041715,30.456796043650712,27.333386681545562,29.838039985909337,31.08309798621677,28.11757154915111,24.92483036206846,25.52178194492496,24.124382664865333,28.220151138387283,29.86658857659465,31.26041825495903,32.40614417975527,31.251270361349704,36.405104470469766,35.65260605529827,36.359468843316236,34.20440461164683,30.694567053956987,34.57345363582424,36.7491933668558,34.1000591902275,37.41881968584449,36.663677085061515,40.38692159017984,38.37019901874139,39.938817224792174,38.709769965854186,36.17731558140219,34.929055791494,32.65745281113196,33.03151749301304,33.15293670177135,28.398230734847047,29.74295348870048,27.036396656539438,26.168057913284365,28.46627012906247,27.14905995656326,23.31661471348274,23.917293396363387,26.588755251855147,22.611618767162145,19.12854242513592,23.39994218683506,25.34052575062463,19.23325542618893,20.070964435662205,23.3251897784011,20.772168824153596,17.413462878273975,21.476629993350507,21.292852546107753,26.170823397512024,26.18804584622412,26.387207542425976,29.606700614430206,34.17188592600455,37.552956646549546,39.34411251181936,39.85726439359106,38.40625791790412,40.72442442570964,38.24626603513037,42.159883362304,41.04053525184635,34.99788706639474,37.70496501836137,40.87531492046217,36.76172857913812,34.624655974586105,37.90221503993405,37.865478308166054,33.627101552998525,32.497173830565096,29.643387715012196,32.05934541538161,34.9090163734199,34.00045174041767,35.97825944264816,38.45993701788554,35.90699058813361,32.16052947463945,33.93493947288541,34.45124653844546,29.737626238453366,28.71748237176049,30.733325389435592,28.712575891223956,25.69790444670763,30.24820639265135,30.548667915675964,26.161023214819597,27.56409453632225,31.532994144673022,30.456326925940512,33.32292269365412,32.36446711679016,35.94964549763252,34.37838165608782,28.967419741865424,32.52712048767134,33.91675535030689,30.666029315393935,29.2575704409859,35.10669309444292,33.768832875531444,28.61967593448464,31.04738918942499,35.65972188035839,33.56988578387377,29.70215615794069,24.93925122645918,28.642272703441275,24.538482807783975,25.547989446323772,20.068589311589623,20.088287391023655,15.75581799981842,15.021434964738601,16.86476917568101,20.066140392356818,20.39639887201793,22.29841797985174,18.47041245876426,21.860464149884166,17.79763327549062,17.231833572319974,21.8547684480049,23.91199970435052,24.11792924640183,18.836739519074868,19.349759808456565,21.783737497238363,18.191059704820436,14.830125577268122,18.98150989963096,20.652997105877294,20.236501984846573,21.812809242651042,23.852945021511964],[15.873207352580962,14.306443413129749,15.279798864150862,10.064910700703674,14.521745340644804,15.244427599480314,16.777418671492402,21.145921025791214,20.101471151985255,20.89380893227345,23.71266876768701,26.721281806899693,25.935831149584263,23.65314622302411,28.845712706328758,30.34808228773025,28.119599994090603,32.15223605587898,33.40926061572167,36.202880198579614,38.92126743627291,42.5883395159684,42.82946235367864,41.48347605283375,39.08633853200221,35.23321717136278,33.633228940317395,30.172749930805058,31.901861589612132,32.25972210531608,35.6093570448306,35.43940306952271,39.10146210361809,42.422627044465465,39.96539530844343,37.743833184877836,36.95094134082393,36.51743205274702,35.65648807939161,41.11394698308888,38.272116762441584,39.21701647945742,43.51448408732864,42.67670813554306,44.25737446743963,43.72584276693108,47.5992823757783,46.736563862716,43.104917495997434,47.01890064195774,48.878376314335966,48.63496054937755,50.2875789845837,45.336137578919754,50.50037688852089,52.63403783253114,48.755612212804756,48.38406024910104,53.21013051841195,52.75615137425805,48.633525523700406,50.40126504347781,48.65345173429876,49.83794957397118,47.408178530709584,44.07573261879897,40.94042945306281,38.43565944736241,35.42163998784392,33.63487981756323,32.51140759673694,34.71830898754729,37.00022611862631,40.0627684012655,40.00625115935306,46.39370140899817,44.957128334741945,48.09286895144165,46.814737368526984,47.58629508767119,45.74499663314633,44.83828375583411,42.895329751795764,42.8271461725868,39.57253889872712,38.912541476414006,40.815357588859904,42.090906449208575,41.57119072479017,45.03469447892945,42.56608842931671,45.573400385058584,42.24919185552242,40.44314469520861,35.714767935734955,36.1719685782826,31.809860319710214,34.71334531341567,32.33742886525467,34.227948649506956,35.40598222119118,34.39696622786491,35.806988457709515,33.722225437794606,35.9078817915565,31.34889547264609,33.893452863696545,32.19940981649694,28.27251475535786,29.00561865160945,24.255343703369153,24.410705425697152,21.356464501043998,21.20348966752408,22.026207664126023,21.25798562522452,24.928215253729057,24.51293440924119,29.25047381767656,28.393427551048397,25.17229833612505,22.65125981394359,19.23230525170901,17.73335479184737,16.388061078035037,17.882880783197315,18.300383887790638,21.29783142964019,23.952763672408608,28.668178324744712,27.360859602630693,31.963825948009767,32.24411395289083,33.7605624609519,29.197320998740402,25.458204957642593,22.41916927488079,21.20961804184333,19.720182573321427,23.199818735176915,24.092841904760444,29.163052363668804,28.887420929344184,27.03151631382696,30.59579277109205,29.808809095847828,26.628843015851377,26.61344051356955,26.377764136196557,24.17302544156124,25.976210694987557,25.961552941439123,30.486239956640492,30.413650590579536,31.432997339093937,31.735884379750605,29.53367694784665,29.949220649040527,30.39051854735885,29.564263077609844,28.447490874042714,31.49824904118127,28.58716890133919,33.37200700892747,32.585414068882876,28.927620153641218,31.50261303347178,32.23735015641352,29.246154713890764,26.220714074154504,27.225106768707537,26.168896227115784,30.61318591355538,32.584935254324584,34.24473858690703,35.645724551754974,34.622382400961925,39.79263542381848,38.75556994912038,39.45115825062943,36.92417967365929,33.640465503645395,37.15600574944908,39.0827479544718,36.3791860380763,39.71926001889966,39.018192960305626,42.44664374052043,40.062545526039386,41.662297930782806,40.2566619928697,37.98223391922154,36.55081877665696,34.34022317088005,34.75718501878395,34.744452325020035,30.061621856981702,31.542081188947005,28.731615221683178,28.412717863597305,30.476742079725454,29.613549043180946,25.79232605641487,25.751800379060604,28.591416598419478,24.941481324017776,20.77666361014427,24.915228577861274,27.375114519698275,21.17678251330692,21.395741005292315,24.71917829870855,22.625597404623594,18.67893361157404,22.181568303740136,21.846329951919152,26.89313122627362,26.267466539543562,27.100669040435168,30.450334194852513,34.989268947344165,38.32372504246204,40.2329593150107,41.19815541929668,39.905471473971346,42.45278131866329,40.27042432302912,43.989761064989416,42.522136677603974,36.593199712210385,39.51240721013769,42.286015747319496,37.96114588481617,36.0870393382075,39.391864521770536,38.800632806970434,34.49537335404696,33.81154360502116,31.113242312010648,34.166107560041155,36.995182672034375,36.20013467519444,38.51266282531993,41.05668678914162,38.782254200884374,34.807363480955,36.46443811841002,37.3205222817855,32.688325148549694,31.282315011898262,33.398520033320764,31.532380709124045,28.229056946596184,32.51740251562703,32.946207542132406,28.542845558386045,29.481758617138976,33.369940931029284,32.15149065437988,35.19878357300418,34.46466829137675,37.81281159427409,35.89346059122764,30.568546372103373,34.19696377597133,35.13977651026775,31.74564421690309,30.50629895618954,36.155667104683054,34.32237011732428,29.215113100397144,31.852184416028432,36.15890240055976,33.6427461696542,29.756806468623545,24.956646142408317,28.065283680163997,23.696235790851276,25.021420101126505,19.69311461653479,20.598811578220094,16.75092839307402,14.964258688220491,17.035525106818408,19.845349620483614,20.752012818147378,23.29131614845099,20.168179707112063,23.915596598695558,20.29700599142892,19.884257695930533,24.89075107159054,26.85874261263712,27.451116416121423,22.123434945040472,22.230110559963624,24.93495245387583,21.757119524567543,17.9418396832463,21.76733344434211,23.784749026002206,23.498467984419975,25.189835292280467,27.25444742207868],[16.94460025015361,16.412782095588184,18.582994568526978,13.937711957614347,19.065084446993968,18.73988100471663,20.45693090955223,24.510242952160034,22.81993688495987,23.774096405851797,26.091709735434826,29.164510290953885,28.996241852487497,26.222892145704826,31.270357908501975,33.18051513131689,31.236655897483118,35.10904607438628,36.31897540126795,39.47607956968884,42.048131281284725,45.96144300519752,46.01868492088992,44.73049580495544,42.579679384330014,38.559205021545694,37.252443058200306,33.71725111399719,35.30473160413842,35.650089186560926,38.310430005974716,38.50559146809658,41.862365685362704,45.238029353682194,43.13499669283246,41.00755775741198,40.52931163144746,40.2679887142125,39.6517037780305,45.32454069175796,42.337594956176254,42.92860752415318,47.32657701334545,46.61098094957164,48.02333073650514,47.5675906902989,51.45874979653381,50.71359264452141,47.242534380129,51.288437028551634,53.12966578868152,53.02967585599725,54.58550652421313,49.56171471174417,54.65081136936627,56.680317798080196,52.68220659313534,52.197673323134005,56.98712089343675,56.51338372673021,52.179041714654694,53.6751442374902,51.79490757977786,52.76505813912002,50.58039829756743,47.33963370997437,43.763478880934244,41.23426618863087,37.87845061255023,35.86780093749947,34.54060268641929,36.28523896999426,38.89035226740124,42.22874251526685,42.44139022619206,48.8477994101506,47.88174663785445,50.97860387568146,50.04000652298594,51.096165890589454,49.45328456964047,48.86187598797467,46.963049072347424,47.156270514916024,43.9160056834759,42.9694010110115,44.6095669483705,45.74141183593728,44.9149538770785,48.091150734869295,45.340162390803236,47.978527318388934,44.54251720882201,42.75775643472063,38.07617533692838,38.074841450500635,33.762928959328484,37.171103866393054,34.93846836291122,36.81882087829045,38.52522075032862,37.84363135427096,39.53495212920302,37.72370990260249,40.32421869923381,35.78276949544648,38.3869322302818,36.87898698443835,32.86224846236096,33.392872359753085,28.59479378852832,28.824454098735778,25.426977750879747,25.477042388118726,25.727841607492955,25.063364319975726,28.424962051047775,28.021357088610184,32.2209394561097,31.3198914076017,27.92135476767702,25.536177631488542,22.485672792381038,21.357997478365085,20.21229755055682,22.38455356596204,22.729095057454195,25.98701879314975,28.703055328565853,33.423605240144575,32.26498199356121,36.84314945386795,37.20171649966482,38.6082915495973,34.11729879216108,30.296659308032467,27.393927531368316,26.037350289930124,24.300817471591554,27.61569047443404,28.10242262990336,33.06697475911435,32.68125622323577,31.075716646702084,34.644195820873946,33.729867053224325,30.643581547279336,30.537631085747485,30.454861624084103,27.900198209714414,29.727899870156662,29.05822071215157,33.57455013850422,32.72499067398133,33.84011309229006,34.68368806886778,32.69619139697187,33.55153113911413,34.026630411507455,33.72648566997859,32.87284950649204,35.65592791779047,32.965996814303566,37.757432810007096,37.20942829077476,33.556854730001795,36.32045034282739,36.99261314839745,34.102030503549116,31.025755240961598,32.117408178226654,30.931442586872077,35.32578694899205,37.19194090088576,38.66283583672122,39.95590544238442,38.609233221406434,43.88661046876629,43.05608056169743,43.89848980347688,41.554674757121276,38.275123896136385,41.97403585685911,43.96220850158754,41.215521302254054,44.395567825419384,43.48800694706444,47.02945894814317,44.49599579661435,46.31848338229744,44.99931322558057,42.79483978354502,41.46516924195707,39.30262618142904,39.73889009405296,39.696274866436944,34.997747929349806,36.3756087411052,33.41583233885481,33.03114641421385,34.82487056084192,33.80622858473973,30.12602606275776,29.944909362261342,32.452374005482085,28.694875651395293,24.693949382061383,28.44546622203214,30.541052548978286,24.28352781444237,24.288417731552062,27.21363502965682,24.92476744143598,20.861442508810683,24.029840754531232,24.226027472528212,28.958344415694125,28.93748314337261,30.09705175327279,33.16228244407625,37.962109004209694,40.8834323511049,43.25721282057397,44.43306036309192,43.47801398288278,46.20691247304407,44.24749662321948,48.08022463428395,46.44939296746399,40.68160402061588,43.80724519702073,46.552666859430545,42.176901419229615,40.51283431812326,43.96225421674708,43.18332291412116,38.83499801174057,38.52047657854191,35.6237891522459,38.79298924252578,41.492556059668566,40.404178467086616,42.698416991274634,44.93940501521899,42.77179264723277,38.92146122477048,40.14544111020984,40.87308685064768,36.3930379638341,34.84568128266784,36.509584933882685,34.47068035103718,31.250989861291327,35.34459993178306,35.38745269766099,30.77286630087915,31.847308351759104,35.70221104447044,34.82576733141484,38.186550843561584,37.869166085355,41.27637873261452,38.97934440183931,33.91827447929209,37.90287514508388,38.59752936294149,35.10104691461808,34.37086924589902,39.93733242734294,37.748231190285544,32.872411646186166,35.899265868102454,39.923301805821076,37.10708993775549,33.35082273709475,28.528065217500753,31.279740570800058,26.734269622653834,27.70439076355171,22.629944206274295,23.94669816133696,20.081360687559766,18.27444762182932,20.845071215221697,23.622550800488295,25.003046331338297,27.52556288467273,24.724477864973938,28.581130399587046,24.99959885048926,24.095766111480533,28.94857505407156,30.58674437614302,31.03943126081389,25.89343795448848,25.554140345295856,27.827963112614515,24.901262594608294,20.835978938860606,24.12276505306668,25.81569672077957,25.24781295901026,26.84405723327329,28.923750163322456],[15.837961712755678,14.803649101622723,16.606878050750588,12.704598201871377,17.74067215223023,18.952608860904476,21.257931502680467,25.526104632129762,24.8775119297132,26.14222295942742,28.951329076786347,31.730459257514312,31.233261581951172,29.109260832512156,34.28121587873674,35.76124559856891,33.604134765225446,37.67575384884518,38.87779959898944,41.62883892193678,44.307676425071264,47.88662198809879,48.07568053561782,46.57107535094756,44.22485844722252,40.48290024366245,38.89195285537399,35.52816459007243,37.32652301829232,37.61167809356857,41.09081275955292,40.72925107733194,44.38591224881601,47.81987189225914,45.333662433357496,43.1717949308443,42.20549199343961,41.7881282017181,40.77441266198734,46.030144247355004,43.194267251343916,44.42018070308553,48.65732733352409,47.63612770372798,49.16389735196613,48.40517629150639,52.26569630428581,51.55589717066561,47.730333742780324,51.45246081063808,53.53346408530017,53.207601833844784,55.02854480656248,50.18828962288713,55.448934589822926,57.62358471426964,53.812667507661736,53.58212694322804,58.41443609281698,57.88970180662696,53.89907809891064,55.8052548136736,54.120765313705284,55.29934558514891,52.79137098852336,49.49340816766123,46.41899449877587,43.965685819145364,40.93575943752222,39.17371595433879,38.0062449831629,40.124671106628085,42.500910860062575,45.57241207143093,45.556260083655495,51.94247918196177,50.47436110681908,53.5975245429262,52.257019563703146,52.94351148137318,50.98599931886303,49.90354376046961,47.840548123205984,47.57657729274248,44.36296247985353,43.953638363888494,46.049238238470735,47.33083797974918,46.99033687012696,50.46687791325592,48.070559769289595,51.09440497452027,47.735439142920505,45.85141848924868,41.11087983820691,41.489257436802774,37.1213881334099,39.92039566593551,37.388394820852824,38.87201713902254,40.36477846199845,38.92418289741131,40.61259312161832,38.08145721215833,40.06078423663138,35.30356235866484,37.36640222224034,35.35704448691142,31.244306518979958,32.412196565486305,27.81686242795534,28.651855947190732,25.975366835707344,26.069601932205423,27.332996769095917,26.56455476042421,30.322534482634378,29.7387674020313,34.595509983330516,33.89848293889966,30.67486179088085,28.190246733915682,24.672259387778908,23.14460243590399,21.62050011396216,22.615000539597574,22.31606329849671,25.259238108546857,27.397905382517916,32.28587849699281,30.292062778509024,34.77634923290273,35.3434103716536,37.28925157407774,32.75408201184472,29.405407533696735,25.661507490517433,25.248373999235405,24.166505443363206,27.880218116817332,28.696575247302558,33.82104071886593,33.90168675428441,32.033908009984316,35.62122108442165,35.00750652401674,31.783746798889215,31.742073603418394,31.22604582217338,29.006318606163457,30.312665569178204,30.33197289412411,34.50721940982846,34.18171448667484,35.7152961897435,36.216159965595054,34.318564242933924,34.48484093343256,35.320319593408016,34.093464890035506,33.09386279794886,36.48282152290137,33.38892574205955,38.141369202248754,36.918859598285444,32.968342012256514,35.185579986660876,35.517779710218086,32.234943698024445,29.682979925150438,30.79237964103174,30.294407982081488,34.883885826280185,37.026928609715945,38.90472203462662,40.254862043041165,39.55079114205295,44.540552962746425,43.501766360904675,43.94079253036165,41.2912899345124,37.80397970032304,40.999487918883645,42.78776559381456,40.27302451923225,43.9728837873244,43.60431353442621,46.73187565751041,44.317342496954716,45.60950978016988,43.88382399606844,41.705694683380194,39.81019188612056,37.42030795104649,37.55635058042474,37.05229050950652,32.375905899635924,33.55178431231167,30.315778889268778,30.508449603161402,31.802073009801774,31.359575521340638,27.81291653475307,26.779198880398216,29.401439149322176,26.178885277827877,21.46411744424595,24.964711183907017,27.75329525977186,21.611577953447714,20.93698321786061,24.029146845616232,22.562981563667723,18.004356080362854,20.511404152061917,20.228186787421222,25.15821875543422,24.22620138947874,25.85001577930905,29.07692639449666,33.67960801954857,36.67906436147507,38.96779592779406,40.53912750864282,39.694167610312405,42.62992017485285,41.03804066896525,44.60750621312836,42.599332095763074,37.03217095465241,40.40062457089825,42.70896369231202,38.172603462801156,36.86075528022794,40.40669495205349,39.076807580225775,34.704358756646236,35.05605289588985,32.110537456836276,35.99816059748945,38.53461863265375,37.48995283519068,40.22716480365774,42.52786922675537,40.839158721383804,36.66087558315302,37.71488029306805,39.01586861066755,34.695627207720584,32.57665164951582,34.55105761487962,32.89786872753259,29.22834944031481,32.94990799611358,33.43328894302544,29.053821130299188,29.305475928796373,32.985850832324005,31.729612269138443,35.11187420887142,34.9352568898805,37.96915056994539,35.40025534944273,30.44267138467756,34.366700054504335,34.60006132383089,31.03137469157639,30.44737791313376,35.73659899509736,33.155290161360526,28.396200866737264,31.612436354526086,35.296728398967595,32.199674505392615,28.50619833295952,23.742882779174273,26.110830674345543,21.50019802425431,22.573515534485423,17.707759699544876,19.64376839045816,16.460902388840424,13.828268687164295,16.4876837098943,18.930931890740148,20.821706618844008,23.641409783895682,21.760567397345266,25.97392286662197,23.18717286356298,22.189380522774513,27.51213830766213,28.97174208364445,30.194529793949677,25.009518145367327,24.090490453945158,27.015890739576207,24.881253237789153,20.199313454713582,23.189972706066712,25.76878410705332,25.841890515904637,27.849692500913555,30.037053281127083],[19.346648518806482,18.853549830238734,21.075508499949674,17.31226516980473,22.348562120673428,23.38658757680626,25.57156002084418,29.81042497269121,28.774932058054564,29.836341516332787,32.4238591356435,35.408837200106426,34.96576172607856,32.433283088144876,37.5712737918901,39.28318631530578,37.040543906984624,40.89627304795983,41.76278490544288,44.80701293000362,47.22862978273197,50.918230960088266,50.84013707320443,49.19839622946032,47.145440615194204,43.36747288798031,42.12438139693336,38.85496299045055,40.81444452087613,41.33655027821776,44.44683715843901,44.485012487647566,48.03930778703219,51.36772904780556,49.01651710797376,46.72876498999935,46.060672999807664,45.423872051353236,44.42942667146798,49.77616235565519,46.5817949933128,47.7129530329188,52.01438600421528,50.88681951241191,52.140260267086326,51.26584989595075,55.14362688670656,54.71565201665066,50.920245928447585,54.68056861229212,56.94894781403696,56.810669458030155,58.6765808708446,53.83521865817014,59.218276189114476,61.17390871952037,57.231983916460834,57.14856966384172,61.93448564063692,61.17773856590998,57.11087262420921,58.98736402854801,57.36432545926553,58.22366914845888,55.77394625628076,52.674598681097834,49.27165767803081,46.99278257273172,43.63015514327803,41.94886356004012,40.5099350756462,42.30829224469634,45.03464101500647,48.123561455733444,48.48708607671051,54.894054124569045,53.671812470774775,56.92145441320619,55.74092199070481,56.4890406037406,54.7786959209198,53.762102650162085,51.91984900437015,51.66538162927186,48.327656110950876,47.885628053762886,49.74020901433592,51.17579615087769,50.50524151898961,54.01696607605063,51.38984814510146,54.20150324498839,50.8669809986021,49.1354972203584,44.43426610941298,44.60926174166821,40.27587516285731,43.490557256729375,41.13524736160153,42.81258131083109,44.384453667164905,43.22802828961674,44.85824865984676,42.53533273304909,44.545303749096405,39.84015606495371,41.966249763842214,39.91627255244148,35.84219083953741,37.03608643086696,32.42755609401648,33.10781977562613,30.311698499695435,30.20197753266051,31.108650305523447,30.103247841987212,33.63016813057139,32.739450791083826,37.29466276557869,36.892236539196524,33.51121981538944,31.286500214561084,27.738057933628287,26.641737670597085,25.516105917717706,26.720424612556616,26.828657444514302,29.700364980739774,31.908519067629314,36.75586354096318,34.664421884945796,39.165431375907986,39.56677979270134,41.665816884998264,36.95526915993174,33.61714818265485,29.794986499831243,29.183469908681726,27.79791679699193,31.467424283341217,31.664273452345718,36.71526427962742,36.98188034505172,35.42275393787916,39.090341308187284,38.67719495452815,35.52032624766578,35.70461584848265,35.433535677104004,33.21806886279537,34.72607299217108,34.548831532166375,38.81538761874453,38.202080963397904,39.67714501631785,40.36129511511795,38.425335527093054,38.81460835839964,39.47665712409846,38.47539195416528,37.295045151449386,40.460793687970835,37.18516590905915,41.978901120400096,40.67044671020467,36.45850671227134,38.87871996113663,38.90453639107171,35.77192014880089,33.240235968857455,34.628779141484145,34.15848550108219,38.88650084670607,41.14869896780583,43.061251938513664,44.549412986645805,43.704716138849946,48.80815309227936,47.66334750701608,48.22659151369402,45.43402567579382,42.16502575293972,45.26771507117783,46.93341629549268,44.322912789905075,47.85703490751985,47.35122865697102,50.376368638448696,47.63761374102604,49.122677127158695,47.39252204852447,45.43499532496767,43.578302400984775,41.324053061668444,41.57055019227501,41.08139127225182,36.51090963950326,37.79933261002263,34.58007330961541,34.990763354482894,36.17794476308814,35.88016026110259,32.378055025661915,31.131188196932825,33.71747515571357,30.624380620552092,25.807560762035354,29.07737479751795,31.91043638068247,25.84017780761227,24.890236173004443,27.768288624942716,26.447968669212496,21.789598964994017,23.781541239312823,23.644961209703915,28.343227598665617,27.27355310160385,29.359690591588105,32.46960616826946,37.043533701566616,39.799712420331744,42.30194525263879,44.197753772392616,43.558039215814205,46.63807327891149,45.26563375347142,48.7357432073159,46.51670845401063,41.10997669044987,44.59052188113158,46.65309265372187,42.03412935700298,40.92013872996913,44.44858571225254,42.7749852359278,38.42245544570745,39.05077895230941,36.243174708228395,40.38881435437821,42.89537450385706,41.870224391496706,44.71445628559626,46.96235665368875,45.39329496185252,41.18964561777687,42.10008650288255,43.46583912556126,39.22484790450558,36.97849746459613,38.82660181961979,37.16821864410585,33.48128047923455,37.003790006995985,37.379701818578695,32.961377595329324,33.096435989206874,36.66870830864596,35.50237709177652,39.032745007485126,39.09675095720102,42.0083979096194,39.17392017876537,34.42767265598253,38.426179520157035,38.3472008482665,34.73333366350347,34.39307611538415,39.451628484253796,36.50557220704157,31.95315807127191,35.30934114960394,38.65376917966324,35.2390407163779,31.667585247161632,27.04378011071154,28.753379427510726,24.077418990877803,25.245765821888355,20.878968671453904,23.393414689622187,20.60356265362765,17.63548929073106,20.329031617265024,22.345327057347184,24.584209106845883,27.677209934736748,26.17224758309255,30.432540671324332,27.74979935972283,26.817735260518912,32.14547441538543,33.530983181635904,34.7546471965705,29.6073804524743,28.559894636977077,31.362749596968087,29.300067048306282,24.565684301122786,27.313596289817113,29.76617005353574,29.70128765111261,31.62685459424246,33.78925802985846],[16.315430224376804,16.543446956881656,19.627231313491567,16.758177435469996,22.446576033247883,22.655722059464125,25.40820101231431,29.313599400881014,28.386448077350504,30.13731564599667,32.57944533155599,35.16691442941907,35.42290061922475,33.14192541141676,38.175318382440366,39.91714233307126,38.17103233584042,42.26546498140742,43.66769589142745,46.594156898363075,49.302748052399075,53.057099294172055,53.2218804062412,51.82869423524933,49.553217876255275,45.67504845334454,44.14181314479287,40.63275621142649,42.17219299395461,42.22453337031445,45.26535168625812,44.92381963098945,48.306027082946095,51.942730950729576,49.75096180775858,47.822282016218175,46.91272329912999,46.88368272211863,46.08253983430204,51.46960414024777,48.741462165264814,49.73357679963845,54.02931444873105,53.16555774102207,54.6933366673638,54.02955698823357,57.896090793909195,57.16173787193372,53.42853913261983,57.21018355622456,59.21019716854877,58.876575118105066,60.61468572176315,55.71517881080872,60.8374742110728,63.086151951898444,59.252072056228755,58.82194035717314,63.66359526897395,63.27217333337307,59.13264064574425,60.7969795080986,58.92667459723312,60.10785899172373,57.80833208145909,54.46521977034207,51.15578407545525,48.548039181802835,45.382737701771745,43.310511904440546,42.11815036170915,43.92605747359632,46.418557208463774,49.7944673828631,49.80085214290046,56.192195684033514,55.07036136859044,58.04196886578486,56.95050123241516,57.89690570730785,55.92315024350007,55.09454091261252,52.85049825228135,52.81991699429415,49.73236953165594,49.09550480974342,51.15365802297626,52.143482477270666,51.77789655854199,54.89465364373642,52.379018857326486,55.14654318815247,51.62047410137575,49.60241096276653,44.88297425823016,44.863055719731165,40.536640025724026,43.52300896811326,40.951289471660715,42.09138845237076,44.27268284196151,42.820281894415984,45.00351977069884,42.46207525397645,44.85221914250299,40.00562210059868,41.92536219888696,40.08477671715919,35.7951134265462,36.81604692602808,32.2427616528614,33.47821044793716,30.58989035766922,31.14022228727672,32.1793196011082,31.705274603530462,35.367818314298795,34.98665304202977,39.54538928393659,38.61799650914267,35.31479170600138,32.77119416894991,29.615074872945435,28.110465669233637,26.420261123994973,27.897926477375385,27.05313910669484,30.349423394455115,32.378583523667146,37.33736567205227,35.42024207416938,39.78973553784895,40.680423557803394,42.49549098939135,38.20913044931627,34.85974786929277,31.18035150528233,30.922267594889025,29.87429391976119,33.51845751029968,34.34758692118271,39.44538924357848,39.3664647498564,37.524920229781635,41.083316007169906,40.21239755113401,37.00578948146884,36.67034607890908,36.04356800369507,33.40243222420356,34.42048287060162,33.84435099002744,37.78642464915329,36.66340289368058,38.56380835925124,39.63194412284613,38.13865024872903,38.549353720074166,39.707535420791416,38.780412419459154,38.273468331912696,41.65297150503221,38.88893315682059,43.63280045256269,42.616133351961345,38.78147935162181,40.95865829235657,41.33088375548761,37.97823710404453,35.492386600646576,36.512302878274866,35.985709271747666,40.460863661603895,42.44191975357562,44.1425515123658,45.23553770547947,44.36891115125458,49.34308986867054,48.63950161710637,49.062666220855625,46.70421688104499,42.968319004471944,46.359729478135776,48.275865495082435,45.85128837249148,49.619109875062776,49.2264108509792,52.47011680668496,50.11958668604688,51.42088071890561,49.69589152692746,47.457080405745145,45.497280459139326,43.00665599558347,42.98415026580148,42.26751164588616,37.533613377108146,38.37233871000093,34.84668344396161,34.929069533670436,35.67465221902384,35.05938018911351,31.82295024525445,30.499811760338307,32.54315714792942,29.317683985215666,24.940445756557928,27.715163284260342,29.962084523006997,23.985491460974416,22.965001801498556,25.369827039094197,23.855561171960677,19.308117758185197,21.087755261733626,21.540950038732728,25.78350343826576,25.81151033091127,27.782946124081555,30.47219023264282,35.33548063569422,37.67631151394413,40.59307892539993,42.446287316966135,42.13253361716696,45.31980103548456,44.13739188967506,47.82879594943533,45.56288664025878,40.349606576154216,44.02919837316114,46.27290129154513,41.730976701798575,40.794309292531445,44.58159291842656,43.00987839484687,38.635817345979746,39.63420007585773,36.28482054604318,40.331932611579745,42.578278924532675,41.04169709808641,43.79203682766307,45.59997467380651,44.21802295118241,40.19774648008151,40.53447045304116,41.77401931572461,37.78018095304754,35.341932477095654,36.71077287531706,34.95710586297634,31.35808469751373,34.63092526025596,34.68467255641367,30.191263134517566,30.403222090062954,33.90594774403753,33.084178660670545,36.83912928745881,37.292571160572706,40.30661962140262,37.1988045240384,32.75372637896878,37.119477192030736,36.95646888711546,33.32104906121167,33.54597237510199,38.60253883363926,35.57416713541024,31.308636203724173,35.066925919061475,38.25969470283184,34.847897621693036,31.48022678455537,26.843824134826964,28.791065202925957,24.18471627277242,24.434798962372323,20.196053033264516,22.432988125385062,19.395651052429912,17.128771009622138,20.293157333734925,22.704976609129808,25.108470762268162,27.600086773263815,26.246606942542652,30.552144988329623,27.9799610590087,26.207310478406374,31.299927225246375,32.20617282983124,33.4468499940541,28.589218729886024,26.91933200525027,29.38648572832387,27.920434028233295,22.840842706656808,24.933274537643847,27.331381785746956,27.317271312378153,29.34722519554948,31.57133234984454],[18.4531443095015,18.86376005384576,21.98379618143979,18.28406208120548,23.92223985258818,23.291480950900805,25.487064893492388,29.29755021158614,27.54844955822368,28.894627283470527,30.94243334167546,33.834286557741834,34.20575778801495,31.352929993623633,36.25925800406178,38.34506313554231,36.65771283798639,40.49450609271887,41.732020824448085,45.02070066101769,47.537125227344276,51.53707705442372,51.507994264354565,50.21164329919637,48.183400171044326,44.1245596604847,42.92300584147775,39.3660654321852,40.853795528304246,41.08442683944548,43.44674667168514,43.67168173109079,46.82874980667212,50.326416196852186,48.42668035754838,46.437377172062845,45.996762916718545,45.92315612792761,45.38219998269684,51.07887700763584,48.0877067820891,48.61658353532798,53.035319031638124,52.333093431277376,53.672424275653086,53.17741706661316,57.06819431802276,56.41477964312554,52.94311174708748,56.97248440561523,58.87371753154568,58.781489704676304,60.350887404426295,55.32651969786557,60.38826301304618,62.42746922545709,58.410798911151105,57.882806300093286,62.664197709813386,62.19962330293798,57.806418659208106,59.189900356143916,57.233677672933155,58.131693422823645,56.06852914303684,52.8615621457339,49.106719513373626,46.548210410706844,43.05628878157939,40.89758814814313,39.49607519474493,40.93852879777216,43.700730019492575,47.21153197504311,47.53146793953605,53.91540113869298,53.20992471753827,56.228065963970195,55.45926168244674,56.65662188050912,55.02261552964219,54.54020652029716,52.54384930883078,52.812477357980804,49.631953951895284,48.62988685884964,50.261445050685,51.25371392074164,50.40301220577492,53.36614415350362,50.525000731112435,52.95456989829161,49.42562572681867,47.57639610574301,42.93762020342775,42.624448365886344,38.376018781403204,41.92693323726148,39.6697296125227,41.24717627143253,43.46986635790085,42.703169414247185,44.753641564704175,42.83435873020091,45.60587672892436,40.95383464316929,43.34209219428683,41.81291942508429,37.63341422864225,38.233793995052075,33.484161675283566,34.13034303315674,30.734630541646137,31.076388240125997,31.321649957039067,30.778646463632132,34.073265318365394,33.672356488586054,37.67353099534248,36.7549163906776,33.31030018779831,30.97037488806196,28.09993238465576,27.035303076824224,25.791401936013326,28.028263654634802,27.899567987947027,31.315885410820492,33.82154015239758,38.652280113188674,37.28349011237618,41.788899660674744,42.38533556933824,43.89338753203988,39.496070275928275,35.791557761554614,32.647447142936215,31.612632948866658,29.993870906623098,33.36286837356405,33.73934138181011,38.69205803643071,38.37335703238655,36.831230324736154,40.401864561440746,39.44032811466216,36.3642081097255,36.127535151607454,35.927931262874125,33.14645977245773,34.6784021667683,33.65893255250396,37.930196865753665,36.47933009414183,37.954016306436706,39.22772448384155,37.57224598880825,38.52292829389083,39.2769370915532,39.049707209376145,38.47041537284839,41.32651724990106,38.7223403216572,43.508546080272424,42.91249792807943,39.170187085536426,41.834240296344475,42.344973159271824,39.3333227931548,36.4394088990627,37.56941529273874,36.55980499873346,40.980699250467396,42.84132925830676,44.29530318360308,45.4547644958063,44.09471471743898,49.324121598559124,48.66357038684592,49.43944996053607,47.1896687754533,43.74045139180962,47.43547121561216,49.4327303101928,46.77122183768093,50.081459867813265,49.2397048553395,52.734107880042174,50.16359992699787,51.93249134609316,50.50885875816471,48.33733254490936,46.82603151861644,44.56655771298607,44.84941916712313,44.538943609128836,39.80559159043898,40.935628763147776,37.676359234024915,37.43244453467135,38.684583103903506,37.72554611158627,34.29033644977428,33.608192359714174,35.74652501366758,32.13170758797138,28.101553880701875,31.25826616367717,33.17081269309409,27.032278172122165,26.542716778945824,28.989423126062047,26.883209795555036,22.654426490053165,25.046886432676466,25.68014199916559,29.945342480295803,30.340629806463895,31.992139062930555,34.70620966140074,39.6609622092031,42.06911997471918,44.943403568908714,46.51153753686074,46.02309843213587,49.03557315174752,47.51575097279787,51.361761091404496,49.386947815453624,43.93884250609697,47.39828755632146,49.93127205998515,45.46237593551193,44.20154352585879,47.86229546255341,46.663865011429515,42.283571155523376,42.677668869006226,39.50220152447011,43.07341643347392,45.5306816826666,44.097212816377244,46.55015775448907,48.43437395622403,46.63271110525247,42.79907101298572,43.41831702172229,44.25177262596426,40.06088327397421,38.09869122358052,39.35571571344728,37.32004213508095,34.03487832046943,37.670757041192516,37.45674286369061,32.78471422605542,33.62519544592787,37.29143528382973,36.67633375351097,40.36887926295354,40.61218280217178,43.89914131344734,41.06215214598651,36.42903433114435,40.761545295932216,40.97587647803504,37.3804744329701,37.32114595233477,42.62716086097524,39.90634512719169,35.42478088148279,38.944719442954586,42.470632484908194,39.25063711572957,35.73823564044378,31.002908650165292,33.20977808193258,28.576255882039177,29.070111611985904,24.53430685963581,26.40461288966534,22.870280049192555,20.912044461675816,23.918778308868056,26.518093915907244,28.520448555419037,31.03167026493416,28.931621669636506,33.02247895241396,29.8192057465215,28.341500778112994,33.19802998333885,34.36954560779468,35.029412506865725,30.11069640202717,29.023715946088227,31.09009267004901,28.882278610715293,24.330430446153656,26.809912804293216,28.53148098110756,27.99131900709236,29.653512471597697,31.76938917337689],[12.818681259702817,13.082286242526328,16.370009681689325,13.354205644698727,19.32063845934324,18.701425648009412,21.513823675381836,25.235231198515137,24.224394737914114,26.2359873427405,28.599334285380877,31.01161453314062,31.56508331186001,29.433066573293278,34.3851394453255,36.117008107460734,34.6660020578622,38.88733768478587,40.67373527338606,43.49232729040214,46.409522021488755,50.210616314507476,50.58017801074304,49.43605411740349,46.97626990127544,43.012065823545775,41.267882047081756,37.582217684310265,38.80120871385531,38.572670968466355,41.543216649590015,41.01473003961044,44.30340721249331,48.06949678595054,45.97165193680966,44.25020878499689,43.24825504255901,43.602809149061216,42.99621071734269,48.470675723193246,46.071506976308626,46.84701732867929,51.140445067243874,50.54131154541006,52.28455083493063,51.8744680791302,55.72461508249792,54.70194488055059,51.113177768588386,54.98931773644735,56.687370616482184,56.261488280761206,57.82607800116759,52.85269281124492,57.74020987271112,60.15736126972592,56.38086792703074,55.65981071869106,60.51988828272952,60.408384468660834,56.18420269325867,57.65536371552564,55.60855131237862,57.02249550264696,54.84637364906693,51.32968728715754,48.10743337193431,45.2694897352559,42.29410857499042,39.97863020229804,39.000664022223155,40.90157932110124,43.14413847173498,46.66405551775191,46.38248490453342,52.740486787914755,51.654804575260776,54.44463797364879,53.41421948031883,54.50539802536851,52.411519273989605,51.778181255244746,49.34155214447505,49.54470075593459,46.609425147149835,45.73400348647641,47.835577177965455,48.53577709135929,48.30421291653213,51.16950292050099,48.724676257541866,51.48540736698078,47.872834470843046,45.70915060538001,40.99019952731205,40.92824390065794,36.61036772108174,39.44256307487135,36.79687568000086,37.79563534679009,40.16753539715226,38.726799710064,41.10219408163708,38.644094368376294,41.3679817896996,36.543916907076216,38.59254260617669,37.05625781548682,32.72906255402031,33.403218225998174,28.765476196031262,30.02197404591727,26.91112055054224,27.797099694229175,28.73845578647066,28.639181728805013,32.32603679193132,32.375680663333384,36.87211860687631,35.521965951639146,32.31753888873124,29.55368028647761,26.74084866176533,24.968187457116848,22.967041697989245,24.817138821849802,23.63259705650491,27.22936988658397,29.38991763082474,34.32232868619464,32.888514257015956,37.24209467756188,38.2822820839478,39.676991650679064,35.66015236462673,32.11945971435291,28.904724257161224,28.501608440276883,27.515144479068496,30.99668344885047,32.29743707306052,37.360578089059764,36.88538258525833,34.861624138233566,38.301969479277346,37.053163318862964,33.857073166205275,33.185690747077246,32.44877168535464,29.553148257771117,30.480255520655465,29.649974245255198,33.57517782450467,32.31141097092694,34.21029280580062,35.3857585925227,34.01136515423792,34.537775198686596,35.82036158147083,35.12261452223591,34.99930775180575,38.3438845933577,36.0241773132867,40.715331393926,40.10956569934017,36.696747642396986,38.877936449670344,39.6918966320287,36.355983081116285,33.6635853001043,34.37951680044934,33.54231947961418,37.74872945928713,39.44893652562474,40.89714147080074,41.757676514129884,40.731619469679714,45.6914801211698,45.266525777962336,45.72594555028787,43.71501115207463,39.79579265007241,43.530440543416844,45.67747068731429,43.27792832676931,46.99769000781153,46.515330118755436,50.04292643593267,47.98210719942887,49.31028151845626,47.762424591398904,45.292254538130145,43.52333241486418,40.982283279646516,40.94513058912611,40.369165283929235,35.52187315603842,36.25967058323609,32.783419242269645,32.3557069653439,33.31087403262043,32.23525394542356,28.96579417349396,28.19291435154253,30.08384042456246,26.453003892693456,22.610316050134035,25.582962491810818,27.315534305986947,21.205005179900944,20.750384554124697,23.15866128558297,21.017087115753437,16.796522525860347,19.38918322278417,20.101535371645742,24.36677672861086,25.196435528895655,26.50601342355928,29.134421626149962,34.17602122418232,36.61572567786381,39.46311928777432,40.83909948634138,40.36032131875529,43.35041585197995,41.84923903582644,45.79253971059494,43.86824610318923,38.46620469731783,41.9802449877176,44.66154029110814,40.28031277446313,39.055308540562876,42.85943574165321,41.83791563755227,37.46157501956614,38.006514051257476,34.46309957145962,37.94975211367711,40.23564313815709,38.55148820639989,40.99055447168205,42.71973180913967,41.05741268983152,37.2453581450907,37.64863842417197,38.539064917175885,34.45219230033268,32.333692972319135,33.55094414196216,31.583671033788523,28.216549286474404,31.8024842763635,31.658390838090664,27.02720836690368,27.779384629852995,31.4723712115084,30.833127596937693,34.50930372007728,34.7734969207048,38.09987733495304,35.29028171045297,30.66751997063417,35.08418515133004,35.390542730410914,31.82339740406926,31.88584032603342,37.26458112424482,34.717344861271,30.27993833739439,33.9017490650108,37.5019941061753,34.493664121380164,31.036221149661877,26.26831020437398,28.97270424409661,24.479218117763356,24.46613896674184,19.741297561345455,21.1098791780286,17.3283845927251,15.950964857633787,19.13366537338845,22.11302892244482,24.022490233796653,26.01982351849123,23.981342926615508,28.08783046409235,25.11942317609953,23.093705964575115,27.90777050998892,28.826986940118573,29.72153149678718,24.91606567023202,23.42325241273661,25.606945162643786,23.88531480315399,18.963475583117656,21.229417905625528,23.32794148796269,23.14546009193412,25.120818724756624,27.36241789620822],[10.907366031758865,10.638432053343193,13.515026400795405,9.855708088849752,15.814672659564298,14.51818812787986,17.17773127964815,20.854082994629717,19.770396790930732,21.8503743955194,24.247256332285364,26.594644397178282,27.178523619402508,25.196742848029007,30.120905173623754,31.78176241867245,30.471344593025723,34.78519627029937,36.84312430079805,39.5291277729957,42.603381487198014,46.40106607077399,46.93841014771302,45.98505848358716,43.36952767706043,39.37233461562371,37.4501782742863,33.65368404842082,34.65490517185226,34.25725342816591,37.26300864231028,36.60071922412609,39.88867548981463,43.69544105460958,41.60124699410748,39.98118426684181,38.913410996474404,39.48330406480565,39.00491552634733,44.53371330547713,42.37382075933085,42.99354047749943,47.26953048284129,46.86554511410105,48.77604922654609,48.57101994368698,52.39727307329835,51.142106852498785,47.67943856616252,51.628047854455644,53.0797458597068,52.60179916797879,54.02472390115012,49.0024613033196,53.719737473163256,56.23865343955087,52.508417976027324,51.59153637043774,56.458792531317776,56.537074715762884,52.27300643220351,53.63308842704423,51.49021024790811,53.080906473220296,50.963036144843066,47.324144361674605,44.22534906793422,41.24054738113129,38.4592626134664,36.023944354481245,35.237304855366176,37.29789040045723,39.291107177831925,42.841824211402034,42.321007641331235,48.64519575310215,47.507861650971044,50.19407622137926,49.15800156836083,50.30988034324477,48.14359101423079,47.625162715397,45.101142292720745,45.45900842778389,42.611754262126794,41.56736702605689,43.68305003521037,44.222816982034665,44.07948231563912,46.83270657267392,44.46371204927931,47.28160906480079,43.647942566618404,41.41097965669801,36.68369865948448,36.70208192069595,32.3752234787115,35.048065980775476,32.36521993161633,33.40194620823735,35.71045152925849,34.343098966211805,36.71463018674717,34.390361847393024,37.31813025093206,32.56626578336332,34.825842343666075,33.54634992559828,29.272861413176653,29.62657169898457,24.90752510361206,25.98166612250825,22.66666524189879,23.718861387655753,24.564787188476497,24.737100623126853,28.43609449061205,28.831218154878414,33.29918949208989,31.636393086972376,28.54967363166572,25.615420284025866,23.058091526880343,21.048849608503506,18.815961164721426,20.9665481907767,19.68931749975628,23.474449386546517,25.838922806216814,30.685931352564026,29.73833574667485,34.098206387032,35.13376388873078,36.157684476630834,32.314151604885126,28.5830199546296,25.869083119213872,25.208879969482705,24.23102170453746,27.519106252613177,29.21108845542235,34.19599968602778,33.39390078715438,31.22702517801836,34.555489865289644,33.031531211559816,29.856237583106378,28.968682814326076,28.201413965173202,25.18066142683223,26.17527609488332,25.2657035581095,29.315399676299048,28.18364658978151,29.90873122072432,30.99445878480472,29.563225124743422,30.16497220545136,31.417728421543483,30.898530061073224,30.96612896247536,34.230864202850825,32.23618947769417,36.87230955957518,36.611538518140776,33.572603065880976,35.796506242077946,36.99306472526261,33.753368478940125,30.849377877364603,31.31941291201194,30.16754541207872,34.13315372004322,35.611449407018775,36.861075118176466,37.59985609388826,36.437311784574,41.4170269568575,41.133379864401974,41.66247817588652,39.87950330503639,35.90919773661822,39.9083722685839,42.2185272109722,39.8006289137746,43.402686132683264,42.81156334038437,46.563610465607965,44.719493980223476,46.10265726459984,44.74105840946997,42.10738196490203,40.572071570280016,38.05535360734351,38.082367824153806,37.7357211604855,32.8475445015402,33.62434413388167,30.343913198582186,29.466902333428163,30.833020614500548,29.379801457489695,25.979890963695745,25.885644421900576,27.821387924822716,23.827030946509886,20.468776653912073,23.845054894879222,25.24910294932356,19.047278961585313,19.30802731708332,21.90248729889655,19.214122757885566,15.46734650082006,18.984372950037663,19.64441583101274,24.033512178658558,25.18231318482877,25.803639906118132,28.51150056998303,33.54124131820239,36.246290771674865,38.805314767701105,39.6766002045461,38.876533783213496,41.58523648557899,39.66355575394451,43.76515106320965,42.24200657157251,36.59062311868652,39.81725652872148,42.88812859999361,38.68003556682425,37.0781419323363,40.77803362030332,40.32511596894663,35.98884503232306,35.89384017360555,32.36614478943221,35.24010543592584,37.660576853919075,36.03402337335564,38.15795060305582,39.98748098628546,37.94248577279687,34.29319131770442,35.029740939756245,35.593077123043116,31.304017849124715,29.648048631197263,30.92903237548007,28.792097049727232,25.668065676983826,29.696411123169682,29.51274950848996,24.835890884564698,26.128422092824177,30.011406129211466,29.39778095652704,32.82968855054785,32.69328060839042,36.286038009995146,33.95549561035868,29.049900237775486,33.30506744408326,34.160445365741445,30.71914463151148,30.35677615312845,36.03262352896461,34.06725106640569,29.384503883987183,32.64950587115818,36.714408623639045,34.16982056708437,30.58461280823906,25.763322433201083,29.1382132772336,24.829790961418663,24.88171463542514,19.733114927217393,20.217665081531166,15.820345468472437,15.248856908197668,18.11658889707129,21.487015372753593,22.73297237968702,24.35183668933288,21.487185732813067,25.288182089703668,21.834489726309968,19.87788674645864,24.436085975450037,25.593011058988104,26.0847139542098,21.208496233391624,20.254476385550404,22.277755491785346,19.949839128522203,15.423539475374891,18.27545844752855,20.05690843942256,19.680635188410093,21.548369732444304,23.78113303216178],[10.192151122861203,8.451153624733697,10.120744793058773,7.074523902042361,12.709818494092806,13.610109476045135,16.688819249855808,20.651037399301327,20.85891236814718,22.976681269606278,25.966505891811803,28.057548547004927,27.980311434681262,26.74120879451084,31.76244734551515,32.87484839805523,31.217808098040294,35.67815676747689,37.658180411377046,39.864787214335855,43.03105827032037,46.43098624731376,47.12312989717117,45.95572882138168,43.11983898379361,39.44975415155431,37.222839265553745,33.65567999199838,34.92194844638814,34.53628092627872,38.48933978403589,37.26954145349968,40.93158437049891,44.693068607373924,42.12555007830981,40.40673320854685,38.83227677045787,39.13518016532999,38.21035377516391,43.259056412802295,41.27277245286109,42.56411471496939,46.64144541077093,45.92011630330558,47.96550416909053,47.47540918053218,51.248895088074676,49.996840022438704,46.19648274687488,49.80196527241855,51.463138864511784,50.74848391911638,52.434185199025286,47.619919037592396,52.5081442502917,55.16000694031434,51.64252224864672,51.01446936119799,55.90684389630307,55.92011519401165,52.047149070036994,53.86774448443635,51.97449573006562,53.77555560969439,51.292267018898585,47.614163335832636,45.10364182592795,42.250977645588264,39.856016927956546,37.78379392316165,37.16323008536976,39.669812323436,41.39519878462078,44.56303331268246,43.811415725361584,50.08043493782134,48.33785986307087,51.08311060138018,49.57090738356883,50.27120242849127,47.79709495049003,46.71971757177965,44.08104602847801,43.91956875054182,41.08887609537747,40.64242050275409,43.22373599371086,43.98896515428302,44.34845612292365,47.49962700307517,45.53932903843955,48.81097680938631,45.3355286755819,43.07004547733005,38.32012941715888,38.867180308318254,34.52146659666025,36.49088169614444,33.55965430676582,34.319686584028865,36.104282082058745,33.964524624735056,36.135383454607535,33.077668190313716,35.22028984847213,30.287028208212135,32.02116843515664,30.194061959796453,25.8627606368695,26.915387627624412,22.421334774746985,24.033853303361877,21.603006830290614,22.56783515169707,24.530956878628785,24.525745566278758,28.59958457108548,28.790613915252024,33.93278532906827,32.53525111664229,29.681479832037063,26.710310637959125,23.633218909230365,21.24957608855625,18.72310546321137,19.447244543936407,17.57062098503565,20.904037180115676,22.666214500901525,27.658159771827794,25.890565073634583,30.172677786454123,31.377885484150685,32.91646883028786,29.0268865040383,25.777375861260243,22.28426431536738,22.577345539680024,22.318954154394728,25.945545414138934,28.044265118105386,33.12632437857729,32.7691382024005,30.328352384901972,33.63481320286538,32.46225020770029,29.17347973681787,28.426681205364975,27.242143884782273,24.754803556115444,25.27490185809167,25.367640314376732,29.081078177790758,28.879297844177053,30.85530627076001,31.32098636109565,29.839659708737784,29.60903457511735,31.11212998913318,29.52344145463998,29.314695868396758,33.18609408770511,30.749429058524417,35.30559104117587,34.368290655700235,31.113507573324096,32.767668698573225,33.71833175105031,30.123261436367333,27.714212193754978,28.125078218500324,27.630221963264876,31.74026472830419,33.494732357056115,35.179244675120415,36.029703359880685,35.58263172661412,40.241186615290545,39.658716019909846,39.77831145446467,37.64247388634528,33.51720155170435,36.97338925351862,39.07718289897114,36.887075276508185,40.98283097958915,40.93504656504831,44.267456484847756,42.59114952163918,43.437612369168455,41.71200097643643,39.075778049397655,37.02746082131074,34.29829608462007,34.04626686224764,33.30810106958236,28.434546051276183,29.050442933269878,25.556192500245153,25.200458191659312,26.24009818445321,25.37411327747871,21.994489734079398,21.162238048774356,23.397992110022347,19.898386188771806,15.676755515432232,19.116037769190342,21.42287415190092,15.211162402938449,14.932147705554511,18.040589283205705,16.244312687160257,11.930873088281682,15.176715024672195,15.038530806507497,19.945013229844253,19.9816049176808,20.769632492442298,23.841873892945213,28.628712822718448,31.672251215483314,33.916709379626724,35.01221620205715,34.10783507063071,36.91992230927423,35.18073677105605,39.026987969515744,37.255886525103215,31.640605210396078,35.00017350893459,37.7397387610403,33.39721130006281,31.974963972814695,35.72004742938775,34.91146821062629,30.547708790935086,30.844295368442786,27.30612620806314,30.769076646131392,33.12033756911865,31.66145037827131,34.21043277403246,36.27277613675111,34.58985370204128,30.54742015452244,31.372503582031005,32.54570284961799,28.291637081612198,26.155893795068994,28.01141977277898,26.331837261648197,22.688461231766507,26.52346691650133,26.996182133005224,22.64696020548632,23.058741481931634,26.844780646910646,25.653436105905975,28.960714695878742,28.70610614327685,31.967211343307653,29.586346842159188,24.54223845489917,28.61152519479705,29.216914144343463,25.72085843876443,25.206790866735897,30.773103276995563,28.66276506590899,23.892337713018016,27.168518409675375,31.15016903139919,28.537044382121195,24.906991662604934,20.07882756680216,23.47867356803329,19.22048631178841,19.426758777394674,14.156116339179398,14.788980103635703,10.746789840071806,9.605782075086275,12.471222864352814,15.803682634917186,17.220655165839563,18.996641339824958,16.757604623422672,20.896028486607996,18.174078093102878,16.273677515046916,21.435283762231187,22.60070768187833,23.933675846286743,18.90832983212866,17.59455214261592,20.56686201690252,18.899705555505335,13.90694931490122,16.77600018550451,19.66475361743174,20.097283309574554,22.360038368540916,24.61752187400298],[6.914150820679913,5.369267847732836,7.87387082666044,5.341461831608731,11.429079857968768,9.878058380881221,13.37987268172481,16.77870819413095,16.85070071114357,19.676592909377774,22.384595106376977,24.032886301015214,24.740665138056976,23.776194402073326,28.533592416363916,29.687516324336485,28.68593136324385,33.301712087390996,35.918895449142774,37.999452714488626,41.45040180085143,44.95385204023534,45.919732293466915,45.164066027045244,42.131469989216356,38.328757558485414,35.84518953731922,32.00605592812892,32.652358894453876,31.726415089713765,35.39059366047081,33.86843140270472,37.27101949291283,41.295896607305664,38.99059946081021,37.69458017933824,36.00109571158707,37.054566924045446,36.526367308711826,41.71832388974957,40.27804916394638,41.129301108338204,45.19200974697051,44.93051727370312,47.25783216270584,47.17771131857475,50.89575930743886,49.24044111615613,45.73189138223604,49.4763439846221,50.65231851326156,49.822636130357154,51.20074813762968,46.282366341429295,50.73645658402684,53.64165809759879,50.211282347116985,49.08079348262452,53.97754566522917,54.442500208565015,50.406845713083165,51.83707642044832,49.6273061077507,51.7524818051357,49.54567576430278,45.6275270933889,43.1767765301841,39.95333854609357,37.82254389611222,35.30409265720873,35.01428282326834,37.51907380855126,38.88547602662949,42.33279847708687,41.16835271555388,47.341223501128226,45.78961968188385,48.19333767272731,46.873470212747726,47.88785882841028,45.24353330921544,44.57175426555665,41.58578950627358,41.88560516593179,39.359936749107604,38.448397929846315,41.05541614301115,41.25660809938965,41.81117946531322,44.428075506349614,42.544460574751746,45.6969566107928,42.052978204884276,39.526181652124315,34.813417305754776,35.16583482569707,30.88681773081253,32.61666139448616,29.542624260521965,29.91165407881756,32.261643464863134,30.115019922842258,32.80181462719078,29.88353270721502,32.752208474866265,27.857616609551943,29.755619982813478,28.553738145230117,24.154142182755667,24.489543858576717,19.924605670094802,21.72904356364674,18.842901599291324,20.623325031770822,22.31223160961683,23.07007368942258,27.04292155721285,27.98164784774722,32.795511139108534,30.698820550597862,28.037177856983043,24.766802047899755,22.47424449141893,19.728093483952403,16.64003676383683,18.176494021025054,15.431813326145331,19.41008978491269,21.331310258863272,26.192946621564964,25.35668453706402,29.473276180022058,31.00520697164256,31.765256694506625,28.480609242661693,24.97451620334227,22.44348065640711,22.496608374275567,22.337961411254945,25.529628561500267,28.27158620202139,33.153078723438846,32.14912123030231,29.50061440370303,32.548533063441525,30.697906294872656,27.489600048600334,26.073918615217266,24.656219626080986,21.570019131040954,21.768052279099802,21.184156778038968,24.77065290495958,24.060137614265813,26.19844698969583,27.0365711016721,25.924821454483244,25.963409035826615,27.822506997238477,26.745365579972404,27.401392755549836,31.157058480850893,29.609268602960064,34.00763992810128,33.8205743295026,31.32572718514257,32.96766095569063,34.57390233901161,31.10105354311841,28.44790686388813,28.356013920060978,27.342896389317183,30.882761884488872,32.08939839242349,33.26704108613605,33.62989581227983,32.855665714475705,37.464295150183354,37.46200243003407,37.641493513822546,36.19530858650125,31.731388605027224,35.79634291355042,38.29032591478692,36.18819705822505,40.15720095567303,39.94033906283985,43.721383850829255,42.49478204139361,43.40331825983525,41.97893507264048,39.030152315848724,37.30737257050677,34.53422940385954,34.22798306644719,33.67120763249341,28.722624665541765,29.05071794823976,25.649664338134656,24.366011525698042,25.553100082598814,23.805072601849577,20.55991833031546,20.695033286408815,22.34474406261932,18.170005766511284,15.385589453793981,18.704519772113198,19.721507138667135,13.5640278755192,14.375645650281749,17.00614302855241,14.039229742385116,10.813020228079868,15.05803961792108,15.665090355268507,19.936850485650385,21.617731713891516,21.4481343888476,24.04910652976172,29.033716600766308,31.87576368336184,34.20575451148416,34.64351732474869,33.69425836342527,36.23413467089338,34.154410865951796,38.398658693865194,37.102863400641496,31.42783485583866,34.56278665796906,37.925034101813296,33.91817551590083,32.20936397254709,35.98081556551739,35.949643700836695,31.70031833702502,31.501422852379857,27.624183840140194,30.109982810838673,32.380841335347114,30.519226109945766,32.49982005137656,34.22436595784126,32.18046481526597,28.601242257294544,29.268359267043753,29.785934915928774,25.507817384041076,23.872939777197054,25.20077403703401,23.09880224048835,19.963057176858218,24.164888267538412,24.11571254403798,19.534292183817296,20.942896128297217,24.908984418588133,24.230586793271865,27.459265162917507,27.117056967758536,30.846979621661035,28.811154797780983,23.80817379149551,28.010042098245336,29.224528205185262,25.932697411109384,25.476575755602653,31.287545493296296,29.817547808998754,25.168672914488546,28.287848806142456,32.567548892119255,30.509442047384777,27.024827023471587,22.33414706824153,26.411703880822774,22.562323344549394,22.124802616735696,16.92140638478529,16.216938494181267,11.358406795974624,12.297801553083438,14.852144366482001,18.626582614144205,19.3293036582671,20.041079341329965,16.904490091271153,20.465927416925147,17.17392726342074,14.49770264281261,18.856977640720714,19.818809958185216,20.467114643597775,15.678498899616525,14.449681037426036,16.655286365255577,14.701529768301711,9.801864557339602,12.811406456251202,15.06226018516416,15.210752611524427,17.436140436339052,19.79566891255428],[6.227108645656219,4.672819703783015,6.561100846196162,5.89919470869211,10.647168919907942,7.19734072188061,11.128079831611062,13.759357884708388,14.236304355114239,17.739386785104053,20.28274919285539,21.322617230472897,22.574337343421625,22.19199418739553,26.603221085466686,27.575520815551908,27.108053738525673,31.835780118405683,34.97556863050484,36.74895433929955,40.44888221714681,43.87708083168303,45.13251778948004,44.68142139819197,41.43334573997839,37.665482853524345,34.88441497265518,30.937374309287815,31.080616040234286,29.655714283415367,33.325865912226604,31.330362452402593,34.578845917103806,38.804197399159136,36.60239415083831,35.687383992921994,33.72293627946814,35.38373308237631,35.08174355624945,40.18368498855415,39.31624565372245,39.97869978529599,43.919689523342825,43.97266939488978,46.5753756699577,46.7695838603057,50.38930157441256,48.38943902962771,45.06579757572488,48.79121293151773,49.59131612043539,48.58603926253382,49.761382818098426,44.85451650253464,48.934997666401685,52.09417051001719,48.835765046553554,47.35244039596755,52.22829923462983,53.077975586149286,49.05105242881811,50.27026872803584,47.87091931567804,50.34585896617566,48.28420091845829,44.16796141719991,41.99225319305833,38.50887143387559,36.78099503882756,34.01009072842181,34.08600955958423,36.702609789851934,37.6336300432383,41.16715443726762,39.55636372298595,45.566336377320084,43.995505293636135,46.08619501618157,44.790796947324644,45.93431918352555,43.04901823790022,42.57203467078233,39.249206950838335,39.804494370360004,37.593456692669776,36.45674029975211,39.219291200945165,38.96729621268115,39.87124496392224,42.10264591993182,40.44807050503453,43.62179575566281,39.90671214927861,37.14590131552045,32.51122701326504,32.863842692211165,28.700973421799016,29.91236457417108,26.64217448312107,26.506444604768408,29.20526315869053,26.79072744646047,29.893261409785847,26.886537984740325,30.16619865105471,25.318163593614816,27.174152018674835,26.423667676589425,22.03388026066424,21.87055881931812,17.43577460511302,19.58354840356711,16.658722271645566,19.186525132802984,20.9427731923901,22.348168063747764,26.22885609145828,27.75816894095811,32.391688594638474,29.788765840070592,27.445140364966257,23.978455396992366,22.317714926269254,19.234182213169923,15.674817483860716,17.40109457702708,13.70356927757763,17.964367160418973,19.750457061072897,24.386948010670753,24.196988406851595,28.0385048540752,29.894804084829076,30.07918543475681,27.41017716940999,23.913555966670746,22.104523338984787,22.249896906380027,22.424472588827246,25.224232469743043,28.590645595099396,33.22152847407806,31.807491634847583,28.93802966553798,31.67777442348346,29.350948850676083,26.25143408303253,24.270943967465044,22.501894696347623,19.077989840384916,18.73154492358594,17.810154810867726,21.076811847982054,20.212114098808357,22.587796518329732,23.560970245729333,22.83080064643157,22.83351516194094,25.125052787551695,24.195722899065476,25.604015084747072,29.384215443826296,28.559187629110234,32.6997393893074,32.98467039117131,31.149429080075848,32.56824289443355,34.648982838739386,31.235869270493843,28.58109806910245,28.027665370227115,26.783847318346307,29.76530851917566,30.52755909169359,31.352212992247605,31.27958958213628,30.446014243532556,34.84320070780746,35.293143498058626,35.39014732272919,34.49304211402122,29.72013797491765,34.1240355057005,36.88156549038314,34.95939987553558,38.92094626455534,38.72879203035631,42.73872278476897,41.98371940963261,42.767830181681305,41.51201347297085,38.32019877926693,36.749918212366836,33.91346751106831,33.479374375283875,32.97940718021322,28.061780357931482,28.078315787624934,24.787828410224495,22.827559999670413,24.04836864070553,21.672553760250935,18.652779310638593,19.524748333272118,20.675004382916796,16.127211271474874,14.67187117660708,17.749250270146188,17.765514268874394,12.020780222018871,13.757647117753528,15.957350363594383,12.286877560123466,10.438832290126443,15.132332942900643,16.03363021035269,19.69294263083077,22.310483210554118,21.350111981690763,23.586185216896627,28.516921606979157,31.266322501344767,33.49656397420163,33.37913397405811,32.332060228747906,34.59765268598423,32.25294460942053,36.733278260105386,35.83041415122062,30.1729093490446,33.072955653102184,36.8652813349388,33.17731023979522,31.270253596084668,35.00969160513818,35.57814814293866,31.490079405413226,30.94301196237853,26.852139308646855,28.550686106579978,30.70097590583694,28.564116050959974,30.100186260785918,31.581748357574206,29.297440331208737,26.08987610883637,26.666189285866142,26.717610548131475,22.456873826331037,21.24207436258006,22.237189268887924,19.884850517971326,17.193745023425734,21.65818900010753,21.328212652506082,16.74948215141625,18.882864985401362,22.89369135941305,22.514935506735718,25.510767425479642,24.996669890432166,29.01085328188311,27.36958167113786,22.446148637940695,26.57439944431422,28.283193860155606,25.24607838154486,24.750596294024707,30.634478178291523,29.745703527809674,25.259179179030433,28.131251805150143,32.58989263133048,31.04161552987265,27.722538442246627,23.271516751945327,27.805696978168807,24.386430020301205,23.56072326983446,18.56128967414543,16.861867074635725,11.858039660861403,14.152053858844,16.232786489830545,20.124310358099827,20.25418443525878,20.090511237050112,16.471966910184037,19.406450422128078,15.956278639826978,12.671341887522308,16.139946125491644,16.881564272989852,17.047423836178133,12.594771417708152,11.438077072141871,13.021360332061363,10.967030314332238,6.223430107942522,9.433564406333312,11.233454247995263,11.35982842855482,13.665187326088018,16.117985861187776],[6.409026363067003,7.070153881099218,10.269272912059666,9.40521000157322,14.344208702434488,9.920638008946495,13.322575276606683,15.427322082222688,14.867363366382747,18.537312091867516,20.49477302944133,21.528807986602143,23.549979307755283,22.706792414034908,26.935602833053032,28.307137030247997,28.227854620997615,32.846886818055935,36.10098400822507,38.16511849825646,41.81732866059805,45.492396897603754,46.66601072553438,46.36622420851642,43.25731005739972,39.295719672163344,36.70354982736499,32.61881118105833,32.525260779313165,31.008376656842255,33.94963682928437,32.25586015468826,35.140358615090825,39.467342090626374,37.66367164541473,36.92011364721675,35.26008531355781,37.206501181659156,37.21472459153713,42.57069611517525,41.64902509561769,41.89173966899681,45.9315581149151,46.19849381387714,48.72598787127235,49.088925803169076,52.72820373503592,50.72423164447783,47.60619751694965,51.507007313127275,52.17836000858272,51.292618553360356,52.30329242259089,47.29670539798989,51.21603092883539,54.323059833354726,50.96837274776626,49.26675440553514,54.1096077852674,55.04977707590374,50.78858647393192,51.67618885877589,49.079043867201044,51.46036297974313,49.67240368077439,45.56597254567749,43.025881775475135,39.41766854858897,37.47214528114116,34.38818275420629,34.397510573702974,36.67424044287031,37.741212269117916,41.587037130621596,40.07118667850857,46.081023023278505,44.959100383493734,46.93110967091557,45.98768523022278,47.4645785596714,44.74225551488619,44.661090419959365,41.35285891159314,42.26513504174739,40.10675248693237,38.588072073573976,41.071003319262616,40.58079498908823,41.21419896020689,43.06089088895092,41.165688969466416,43.98828242560472,40.12660930162035,37.31216340188823,32.72562261630344,32.61099895469952,28.50128550379904,30.137345917722303,27.00067998728122,26.821740283961734,30.154781516637403,28.21155314514078,31.60956099160447,29.07014088852244,32.88235213104771,28.199128870183685,30.23929764564147,29.827170175425444,25.513270075069656,24.97016385775873,20.58613540810032,22.47700111019929,19.083441070950133,21.685057589184854,22.695989129701783,24.24354814059658,27.84793890333549,29.51283932968827,33.68828948587204,30.878174968855074,28.408954379172684,24.967649485905596,23.713649692008776,20.89738308071779,17.56783802290168,20.144302183029268,16.88434548710984,21.26538167276275,23.275455038522665,27.761721934469804,27.92490913667559,31.731304357277665,33.55232185565947,33.49574924233663,30.911025970811963,27.236614540605455,25.727661987508828,25.458786796089097,25.24501325574579,27.886498372403274,30.965035408322095,35.54533202116791,33.89790808513991,31.206710872049662,33.94069024580996,31.38611060528537,28.388905128275837,26.28077324095565,24.7521073563972,20.951786418917855,20.782313500621264,18.951970764992993,22.20883139831213,20.298759285108666,22.712098514010666,24.371198640807087,23.905245188386726,24.527553186196375,26.770719563314874,26.5981841605506,28.280948734872865,31.669968478256248,31.16484871789104,35.310748883499606,35.97001884128644,34.222385791764545,35.91424893607756,38.055074927958934,34.7832371016588,31.935314234742947,31.45919229470813,29.941557241410145,32.84168541979892,33.43324466826398,33.975650485585085,33.76094253685129,32.488425215976754,36.99319861849167,37.726182595759504,38.03385443029009,37.41794890514264,32.71761396361749,37.38528064876509,40.243678887712626,38.24584833830049,41.95444382658369,41.48525175230965,45.706026340260784,44.87564757604621,45.92415320199303,44.836010745504666,41.65632498541674,40.30319396624666,37.55778423051017,37.221060506560754,36.83131376404538,31.9284650678605,31.95211581669498,28.688972884653893,26.587868764406384,27.72407755204329,25.122250275163555,22.295282816754806,23.25967784960215,24.07525767379197,19.485009961072375,18.402249365723154,21.10569547061111,20.5637480743706,15.100140445527622,16.69361696335394,18.337091613116304,14.332693515895608,12.699165772491712,17.052490630324463,18.559956445681365,21.776993706013723,25.13862351240162,24.3413997100572,26.237834522049347,31.360399270287143,33.70617870772432,36.307116671340665,36.204030953902766,35.41990885771662,37.722258238452824,35.47959179621427,40.07774510733722,39.18843557836113,33.69051610667896,36.63155581741538,40.497898341762614,36.86556693253441,35.04080974822263,38.818411097479185,39.405765479814384,35.32393360161323,34.86631857219059,30.710434204843136,32.26719322454043,34.32361707187687,31.969039312627263,33.29572953606062,34.43814072423253,32.1327862120893,29.253019460552924,29.4676115441889,29.167884153279925,25.141842886891755,24.06208160590837,24.43410925283063,21.824791983778592,19.556093793993874,23.78084107544685,22.870526554197387,18.12596798726318,20.719561883456,24.64379264582134,24.768422645293384,27.955055201745743,27.785946619810233,31.889409230521,30.059792166495107,25.47118636522535,29.81172460501848,31.430534087591408,28.39622120925753,28.281186932873776,34.07450277275071,33.042711623581205,28.752247859241816,31.83000419375665,36.1280312835537,34.44845003741293,31.21656736243324,26.74067943560395,31.083476748128625,27.516958155345847,26.465736523223747,21.580509689915935,20.19846614908574,15.244425246582963,17.301214297962314,19.732663743699117,23.612163411660248,24.00974957281228,23.922599631800804,20.41923548357838,23.29413287825328,19.733975408264623,16.42707068420526,19.382545467002366,19.833437420639154,19.52654031894171,15.596986674794728,14.336260882566762,14.93946717573755,12.99162854550537,8.926413552607315,11.021953290595825,11.693093412880044,11.075903736256205,13.08202710007673,15.56668800285232],[6.489624818402028,8.215972092768492,11.143416034569775,12.949609324813682,16.695939875127088,11.793854589859006,15.401947363360492,16.091670366411066,16.444743410514743,20.87044919538992,22.471762774432694,22.41230365039616,25.271852136433672,25.316998871499646,28.91169516481157,29.960067824808675,30.60377998542327,35.27566430547355,39.09591917986161,40.69414956479176,44.61332341628743,48.08694124285599,49.61583967707482,49.60895180117739,46.24827106262136,42.43711193915469,39.4817061931131,35.389360831790306,34.73367955268001,32.55704830451034,35.53754849971762,33.069018882794495,35.625814723068586,40.23602364799857,38.600978971253944,38.459964758040044,36.32065455939112,39.06360586415176,39.24880071479145,44.25450128792042,44.12466454259789,44.331811229178875,48.12497444397495,48.68285084386931,51.54378526788957,52.11625227533827,55.60716367334397,53.231363547887526,50.23528708608378,53.95662957884133,54.255118381093105,53.06045067062288,53.89994110870624,49.03353958855769,52.45416025565295,55.94154923671789,52.913362556982165,50.82833785905181,55.60488305646906,57.047252166982055,52.93124888319764,53.6235466787417,50.827916741891094,53.69533117981058,52.056630367165,47.72753022178686,45.65034751438742,41.773263959201515,40.3866009174931,37.05591783854074,37.510699125959,39.86885951398087,40.40021176997511,44.30664967914888,42.219808324897286,47.91633116153497,46.74317160722294,48.22618542431028,47.27573479583492,48.849991172175905,45.718215849528136,45.777913181199295,41.93850190965973,43.04887956798026,41.404299863545894,39.79810655683953,42.608542335564564,41.49023290861045,42.757761210411985,44.032094447666196,42.5676793402789,45.394953683451874,41.46949674709376,38.30860249602617,33.952479627714176,33.77948581006887,29.979290161096205,30.708465067658313,27.288166932936328,25.919486005785984,29.989816756115953,27.334849712992238,31.497645307648213,28.548258776548565,32.65928645941669,28.06507666744787,29.52912489962788,29.54202175479166,25.26890874519554,24.40512715661477,20.67638781273601,23.444341278462197,20.57631131350913,23.994466198431727,25.366469845035272,27.516326685951626,31.024710390828805,33.194649367140954,37.26431883145213,34.00901022851208,31.95041894023544,28.386209612614735,27.677302829824125,24.568891840227042,20.86609271377675,23.08607290180121,18.637424045902073,22.923236749211092,24.269112284982224,28.396977453338806,28.878520024977362,32.11283400932972,34.570212579480206,34.04846988335556,32.37322540752722,29.079948765460923,27.96094424324679,28.317788912935324,28.711601212909283,31.082457017352763,34.80596196441257,39.156288107832104,37.26861824672594,34.31758465378819,36.67554069452578,33.7116205760221,30.8789526139644,28.15843705316066,26.052222434734528,22.06994132288104,20.738330605321515,18.53308857491554,20.540971014120387,18.002806438667996,21.309097489743007,23.379315336405053,23.878520874744446,24.20432923578889,27.297885723542077,27.014222759750727,29.711120309020753,33.287636552427536,33.55169297512078,37.28359653571538,38.218534837167425,37.104875139519244,38.264629932344576,40.741759161506614,37.35571930170944,34.8161890886614,33.85094152142883,32.45099728449548,34.72830932942704,34.86298018685485,35.09033664122673,34.23531914160168,33.1798696291691,37.092653759812094,38.466993881665964,38.442207224074565,38.52037280694307,33.34103403263174,38.12089627733544,41.20062989274151,39.62504350546733,43.55035532248819,43.37040189602152,47.64737799693367,47.44813458290216,48.10002429890047,47.022122650076156,43.58504344643384,42.118248945308444,39.17831618609539,38.46382267723392,37.79410238379654,33.00339900469946,32.354348169160886,28.98040355284038,26.380787526133286,26.832344503308786,23.70652342158344,21.670937812477565,22.7722025046033,22.50778952577801,17.9821800220614,18.488679544185697,20.058815158086183,18.04195807453088,13.78005213425478,15.777199796871322,16.238956205149346,11.73077393378555,11.998552008174563,15.922284207722969,18.082341008897927,19.99369548621002,24.88707132296268,23.406144779266423,24.4661729842151,29.545733293980494,31.342460498278793,34.14486285593094,33.59298720195537,33.10490217011591,35.26854704809911,33.16947308000885,37.99282837295793,37.30124381018146,32.24804270748646,35.163550660398,39.29998814897437,36.06025408468762,34.418936552240304,38.303553401398915,39.24806558181503,35.40578257151525,35.23478257973538,30.612837853092916,31.627098864686054,33.17916976370499,30.16443029429351,31.094063768461243,31.48458994556537,29.424111046899508,27.11397080196075,26.457484032878675,25.74102934688298,22.310850407721546,21.23501669087974,20.635758298372938,17.821344089357567,16.187650950455126,19.983060126277728,18.4096837898005,13.726650276327218,17.040736128374878,20.737219230585897,21.541190538344424,24.65249425826517,24.84506510335631,29.08482879848022,27.310808729960446,23.374803476004345,27.831264621985273,29.608463303727245,26.89730508053434,27.363688680966458,32.876191919962864,32.19667335045688,28.525288067339552,31.661003477984494,35.70270673451766,34.42381254751746,31.63863406446974,27.591877970365566,32.13856424616642,29.118825699021592,27.211277478204337,22.961430537151355,20.796121002560525,16.223269710382446,19.459704286602236,21.674246350257093,25.51825331272344,25.75198991369964,24.64612628985242,21.546080914376038,23.861278216157626,20.94568387404198,16.691057781805863,18.323036792847823,17.72803063949077,17.27895291607955,14.716943868399353,12.415343897119856,11.660417489484459,11.601406890233143,8.093556888051785,7.528654817767957,7.369849851457104,7.168526946870957,9.599096417421396,12.253038323652731],[9.082808818209815,11.977192765004718,15.630939677427618,17.27288756696987,21.46835368066796,16.454191580869114,19.818520228842456,20.218694012866482,19.947610594640015,24.359297370948976,25.441409900128964,25.256222743348346,28.74957211020299,28.492188687171755,31.81409115059715,33.149430402397755,34.14425256892997,38.681821739162196,42.58297010111257,44.37808043566985,48.250347918348545,51.88861394645837,53.36282394012811,53.473021524255145,50.222096066073135,46.28699934046865,43.47277976011239,39.306026417786235,38.4646602976702,36.191677036297676,38.543786685208545,36.26750309062926,38.41433391653549,43.10369306746254,41.860873423804314,41.938450863950905,40.00313155435306,43.01520684485483,43.424750367177175,48.55282072593613,48.433463277470544,48.358833755974665,52.19589978430635,52.91435965026227,55.72947105109469,56.41002609315657,59.90878448078684,57.526875395257086,54.66264584653064,58.479144270208835,58.68486981500453,57.54253478870331,58.264462017221895,53.35719093619154,56.60845052271696,60.093816012279184,57.03568010603243,54.76235550163183,59.4888344718709,61.046388408939286,56.77864677273652,57.187976281984994,54.220768184435926,57.042386577012955,55.65169188231526,51.33364873898589,49.00454269213642,45.03220647658661,43.505494152511275,39.92461329026873,40.336500813751506,42.35992581900122,42.98411242262785,47.14320745367259,45.11414713961368,50.72468265419716,49.95755608122272,51.26355475087883,50.62472796539394,52.47666640287522,49.43540779128323,49.80766185745031,45.92835406955991,47.30082316842734,45.75773036337847,43.90170640849066,46.531712345251,45.16511034608432,46.28957931192924,47.15573046745815,45.55382819701354,48.032168701961226,43.99917979912351,40.773861106272335,36.5658919943226,35.935552097634854,32.31419396317636,33.289636045346924,30.023449061330055,28.406302776909914,33.099807625663416,30.743367473357683,35.199056710122406,32.54624804077623,36.97995620097718,32.5296920723017,33.949657075653676,34.160406254737666,29.941256180755556,28.930110487676373,25.364631589415904,28.076835849391028,25.035492010501365,28.460907200085803,29.406771401519112,31.606497597597194,34.925517266517964,37.14612560896931,40.88886307678509,37.51082245803539,35.37539808171598,31.87469873907243,31.41447137512741,28.51672153934079,25.000731310838678,27.626855758455513,23.407992157929385,27.723044216176987,29.106125985132522,33.15525433163142,33.718618554201996,36.87726993891659,39.406432561926955,38.786742381751516,37.213606114124886,33.8822494947455,32.79248622304578,33.028465740621456,33.223020665833104,35.56776297373769,39.081504215796386,43.434652301205006,41.433912353825725,38.60547701935035,40.96280852880447,37.86356506081577,35.11279276618646,32.31757248166734,30.347091403183104,26.18523123177225,24.884962035341392,22.095408180754667,23.756420640868956,20.226033217704284,23.659455178577545,26.37755137324858,27.262223583391116,27.99288883380288,31.110744645469712,31.30980434187926,34.22328283909551,37.56610465538934,38.04044142894693,41.75669889473104,42.88855988797889,41.78655221768655,43.0650210984753,45.529367297294776,42.158764453553324,39.563475446463706,38.66273372315364,37.18266299585628,39.43557736148894,39.47025742682364,39.52015174092069,38.513349370765575,37.21199237839483,41.07407802354844,42.720613324126695,42.778754462355685,43.099314861384535,37.92588041715619,42.81596726286294,45.95083143298309,44.388445673905515,48.21382495720396,47.90704694805806,52.28996483404506,52.067513586927255,52.83721237850621,51.82033165589048,48.387533055593515,46.97419835510736,44.04095825638309,43.31233571098722,42.59191254349398,37.80914931771024,37.056202432498914,33.59373513970203,31.00942615931003,31.14684266211809,27.978592237156146,26.233425430083717,27.113050860368602,26.470442070995176,22.16607160483115,22.79004737142619,23.849986023952592,21.42297195445807,17.666287960107876,19.21638472812828,19.0110010677835,14.691717479640607,15.051295450379117,18.13302584261794,20.861310809981617,22.068607366099812,27.73149659538457,26.49810078357351,27.070835955886942,32.25377351348694,33.43864765862881,36.71129773823531,36.27437559068776,36.22610394486236,38.491760275053394,36.712465671066575,41.57619705047217,40.778357034323136,36.07714676460065,39.12485574215865,43.20548656399109,40.03022699806402,38.63437447917129,42.61045715655719,43.425081990606685,39.6087356023052,39.78615267779563,35.01947549198986,36.091274732807726,37.42930318207642,34.124038988565005,34.94289763461334,34.84609156566246,33.037299993886435,31.06069407986212,29.8045240658308,28.882709456434615,25.97122673833297,24.8013621591621,23.482944492754623,20.6385628260658,19.440542932973205,22.50172116872199,20.312884984932214,15.833870527489651,19.19914571850636,22.493222862947835,23.89794689578706,27.203356317253128,27.966907418175072,32.10916739268614,29.993830315219142,26.66362686552311,31.325953983863524,32.812378427357345,30.139710183868992,31.175986159942696,36.43134444738527,35.490384625711116,32.18681619207463,35.62240664476442,39.32711619718007,37.866459965605884,35.277192441465075,31.28830875093633,35.546610899879795,32.46450044951037,30.187746872607814,26.25020109802842,24.442555898124912,20.09192868784166,23.076830531962525,25.617726894356206,29.404514280635986,29.99425187419656,28.939836736073122,26.19848190642167,28.59544684135021,25.802539266267488,21.464599039211098,22.86782166166254,21.897236738798846,21.324890866897746,19.346869325295216,16.78888293037207,15.445865688436713,15.962231296246792,12.908409689797125,11.416961870060685,10.469211669623824,9.741502801965888,11.322027970990204,13.498324609761688],[11.58384037067863,13.886898676673063,17.174770033222895,17.527033214624524,21.606966196103613,15.834420655633581,18.47940334675424,18.71429635700937,17.429130494976256,21.612296380836902,22.24087114211706,22.240656738251037,26.03667185372139,25.34864338502911,28.497285295706696,30.1432897674572,31.3168561225573,35.677300193606605,39.579045008549976,41.61090375107255,45.38279346252225,49.213491913317455,50.58660053034282,50.83426617518589,47.73392655754855,43.660154090815084,41.05548059647589,36.82198170318102,35.83953004666376,33.64006703804222,35.371789127614704,33.55042845751621,35.48704294627732,40.108677591144414,39.138983577567,39.20268133567045,37.67036804191905,40.71452744266328,41.38586748438573,46.792778311224026,46.4955209513545,46.00218136606652,49.93187777046045,50.82667389812306,53.52421876343082,54.38379691242771,57.88733601168682,55.52511757450752,52.903864107919,56.92501483327533,57.014531973265385,56.07476054620873,56.63376996657532,51.610748603782724,54.79245465402372,58.10705271704883,54.89853167099061,52.50436066637296,57.1870887345598,58.71844257196124,54.23030455097143,54.37658281849165,51.303521023235355,53.950044708487205,52.77112614485118,48.524302517077395,45.87082184983003,41.86973670175239,40.164902211319806,36.42492054263563,36.78160168827116,38.570854208651774,39.268651434190915,43.5814425939711,41.689897979988984,47.30102427810743,46.873859001491844,48.187568010625995,47.83129499104484,49.925635947429164,47.16757628304416,47.873708510112095,44.215207509121235,45.883808786165716,44.25335332890011,42.03691722556371,44.28690926189016,42.88510935596836,43.595315292528014,44.287563275321354,42.40633167957221,44.613958300135415,40.531900746997245,37.387379191560676,33.2094387478092,32.29496899364873,28.703286105940617,30.16568391445735,27.15023849768212,26.003896799451386,30.795281529747356,29.220900897035136,33.515593304341174,31.565644347223152,36.38543820764281,32.157812315677525,34.141159073715315,34.62535269636589,30.57049725733079,29.15896455595279,25.371108397686513,27.344684888392248,23.754644305749903,27.00561564452695,27.20535376570144,29.469154957357222,32.463331111072755,34.80458989326485,38.073187483579126,34.56060557676276,32.395163134923315,28.98849351495388,28.938218563256964,26.30360861915183,23.077814505009037,26.411284925098435,22.902329214148857,27.298914702594534,29.188859451390098,33.1001540928821,34.16997306726537,37.503179512772874,39.66164759316282,38.78674351278345,37.05062445281074,33.38168360087853,32.776061914902165,32.31630761662611,32.06074760986763,34.13452949645256,37.38434697997446,41.574962570782915,39.31428296812833,36.69011003842584,39.01161969536658,35.76340341555459,33.14043843126983,30.36243808880866,28.79067281588786,24.445158887949688,23.746754738124277,20.391774626317325,22.587539445743634,18.6497055360925,21.47555271484479,24.47377822617289,25.1467891659014,26.53198614679167,29.197568371961744,30.168536159954474,33.00103898618921,35.83440838085957,36.51606275307378,40.250373421992734,41.78891905115559,40.80844433296387,42.49432573033833,45.08890215100353,42.01230701804865,39.06999911878205,38.25910668093519,36.348776389753226,38.53336638195099,38.44800437476396,38.253377980362245,37.31981660646933,35.50313780465986,39.64833274531566,41.32994428773125,41.74970666118965,42.16032078134626,37.29474779302334,42.46803240661935,45.66229778365306,43.8605245302898,47.248812812199645,46.53189516488732,51.15124832071602,50.76735875214728,51.933634619752226,51.189410856870225,47.81411467341936,46.81117080209431,44.10230867475865,43.68251507633934,43.370982997493236,38.59818162970119,38.223616968046514,35.07159195483763,32.30467601904817,33.108080250792995,29.7756946731395,27.67909734847828,29.164405325603003,28.94514342067125,24.351908706275612,24.879193097040293,26.619455644847605,24.444815715951265,20.335028497724746,22.226563231606633,22.558440332627686,18.08292441948085,18.126003985193794,21.75957167449876,24.162472354821997,25.943184343710595,31.038391028750777,29.811761908342245,30.753506382663254,35.89547288291484,37.40243718508675,40.43503331486581,39.83931826964521,39.46681765749754,41.53590448332598,39.35879168586926,44.24722117415856,43.71966288529707,38.70143257572842,41.47874390652896,45.7415970458308,42.56757832235096,40.815319422748246,44.60311860739311,45.69615683491652,41.84027428679181,41.390904419885636,36.93217240471806,37.64017773326659,39.288917947822746,36.313568953058464,36.89484849631911,37.10389138872061,34.764383510230694,32.89472984044673,32.25897750561107,30.999320313196826,27.74050016291857,27.203516665509014,26.142136588545917,23.119779994687303,22.188044805593364,25.76308402959879,23.651251767272225,19.21384932668172,22.91256886775449,26.341836971440088,27.590041372050482,30.67801425210913,30.99010268760134,35.2817853249845,33.5443548963509,29.84168622034554,34.2783588664298,36.09244815615449,33.40871099132081,33.921875193827326,39.429748832056355,38.70018283652339,35.01866959465731,38.16992533436456,42.233954790299386,40.843136709068006,37.991991300720464,33.804872337820115,38.193010977680444,34.8919741462303,33.133437338482274,28.753302375159624,27.019199926854327,22.313193933177374,24.99012641806442,27.453445142127475,31.33390982133828,31.680352402476483,30.927776642369082,27.49787479372295,29.754573356884077,26.30760976563559,22.535450843749132,23.8574343868543,23.4662617599219,22.19727254098073,19.96443646149803,18.495774651380728,16.990847165643046,16.00452568745329,13.860987665819751,13.650221925848117,11.82270295841844,10.045419230102604,10.794637267200823,12.896420813129387],[10.146798227469805,11.942371396429046,15.199892425887024,14.610786397367184,19.02420889111327,13.493888747937103,16.1299939954666,17.111982323532754,15.580234959815414,19.463789321884942,20.462079157410145,21.080339073050542,24.25978220398554,23.21039717232211,26.82317326641485,28.546548395029095,29.2303123942616,33.64050229814165,37.237860454723474,39.446557854596804,43.111826736106295,46.99279545501422,48.20687172038961,48.25483526302478,45.23626247971116,41.12230637264225,38.642444381716274,34.425901881296184,33.79465168547048,31.94997911484276,33.91460348299853,32.39471084658392,34.66716396178459,39.14039239211278,37.92693039661118,37.60706393812236,36.2196584425943,38.77813170560625,39.27126087099503,44.80721441757894,44.11748141907664,43.76059751752599,47.804935648133934,48.48675652328371,51.039296808022264,51.74326699314865,55.32408647472781,53.15223261123346,50.40397844678215,54.472812729270466,54.792901305221505,53.97447228444798,54.674719387985604,49.59695009236952,53.09882779689991,56.239737388697286,52.88139545063006,50.751768636323405,55.49710081736899,56.73570311701487,52.231869813968316,52.59229195422099,49.67979573863057,52.10540727731891,50.74992646228233,46.60027741191423,43.79823730936865,39.956558686240726,38.001145537869654,34.460147186246175,34.59418119511644,36.463879302585184,37.4262568392676,41.638011646554496,40.01883506673483,45.846215047366215,45.289174153445174,46.92129267584382,46.443476017165686,48.38243173499699,45.7753162663548,46.28005554483516,42.87568046172084,44.33592140910897,42.41867490724338,40.3516496577556,42.52959599264105,41.529073966341954,41.99384094861675,43.13389342892226,41.086088441887725,43.43359909542518,39.4077093804317,36.44920258837855,32.07200602407664,31.3535791647323,27.501971520444933,29.351882110267947,26.391270956292118,25.909236377699656,30.126177424399295,28.728612276365407,32.58026769167637,30.65854740305581,35.20826829549182,30.85247814169333,33.074127464138165,33.264082078109055,29.142917683480192,27.964262672509527,23.824276755694363,25.474277820288968,21.70251979846413,24.586892746293415,24.76387034198009,26.722430345384645,29.844839606510508,31.916328902755954,35.369063793090724,32.1167144313623,29.747211917167633,26.360711627334958,25.948583323447565,23.385612555988217,20.272635802598142,23.661232743655365,20.602965666366316,25.03653800992408,27.187447519574736,31.309175485160655,32.15680860310077,35.76764938373025,37.64087950014291,37.04549152782732,34.85456579309446,31.041494260433936,30.206205944256936,29.53257006827581,29.06472298362046,31.291748505174,34.2947620207266,38.6138252000505,36.52201794063701,33.97682846185043,36.49530562747331,33.49565825556627,30.748724547208948,28.286275568129245,26.925986095507284,22.706554877337613,22.516158765193175,19.543689755466303,22.463588238143824,19.210470961349788,21.627272933769245,24.18167374164958,24.252146878828615,25.6078343375674,27.897503469369305,28.712003548413477,30.999597089533335,33.85896659802617,34.08049781478881,38.03154358479955,39.3426065395249,38.034236483567476,39.91428393491758,42.333206179866686,39.284811920704904,36.2414117824088,35.64350731437776,33.733386521820364,36.2356611283556,36.41489556742311,36.451366800710424,35.87418442258552,34.066669343882296,38.516028637198154,39.789406262552404,40.31558890620691,40.29703150134665,35.62631429350377,40.69218111712027,43.758147277188755,41.7665444824518,45.122893815790995,44.33632157031907,48.878468119973604,48.195998400865555,49.49097718675743,48.696848747285294,45.44265378552418,44.439421340955725,41.8016522805753,41.53767709603185,41.33093723888894,36.501980763696025,36.434798667914784,33.321975539379274,30.801351574480897,31.93264393443178,28.865289895496414,26.354995926812638,27.771096065683622,28.09501410139369,23.417150239890752,23.225570222084865,25.52375826279983,24.07891807527757,19.2961334060201,21.10240771609251,22.06066553776938,17.702141459672113,16.954122032870952,20.952779337423113,22.98645031389268,25.478660311957647,29.771118782537684,28.791658708664244,30.20748663803706,35.37707587947909,37.276400905384705,40.131341780380176,39.74877311582438,39.15386347563129,41.301005685671846,39.012583035278595,43.7933584670215,43.15637490314737,37.85179047112968,40.65079093803307,44.78185248482377,41.391822399862576,39.528017148940066,43.269518710786244,44.188649507547545,40.21289531082566,39.60871880951545,35.37117828517477,36.36828258822955,38.28415584294728,35.655089552827,36.499290562536665,37.17915113127384,34.71212024531099,32.43617130249464,32.30304593226935,31.358068096105626,27.673758334646035,27.057067513693127,26.630062903183553,23.706967957571095,22.26804587116468,26.237119902490562,24.598975735696204,19.96297103026926,23.309282895653478,27.001197596039265,27.78104479155023,30.918494837737388,30.964411233500115,35.2252166475776,33.48661749102255,29.330182743264686,33.71553249291538,35.495064079183265,32.635427964307375,32.79455394960275,38.48762440203102,37.6285888177095,33.598872601382,36.68456170816643,40.91982009604853,39.37302545299615,36.29047890943388,31.91308190109208,36.25947564823737,32.74710354403028,31.417910775642163,26.72603313745554,25.25011354340027,20.36840095212014,22.617023544910662,25.096735863143152,28.98112618726412,29.339166654708706,29.005434835195974,25.3774015545432,27.87694822473969,24.16578971373151,20.781189470600545,22.767464687223942,22.886793134941836,21.804745616868896,18.77345707219179,17.68477072206338,16.96083831280391,15.115966391830419,12.468374962697323,13.44385986448446,12.363525861890562,10.721445725187987,11.849078531382288,14.114499962846896],[12.58360569534491,14.795081161696016,18.47092459041741,17.43350834153608,22.235609778008076,16.899270699631042,19.2779373123165,20.35448872552632,18.227243627518718,21.72712234830372,22.36220248733853,23.228104775350065,26.570701353842583,24.995988981986812,28.50680086355372,30.559786806552875,31.28207503668707,35.49092958975686,38.91474369182031,41.435177369379005,44.93112328153837,48.99671041858241,50.028456361286125,50.076899488824154,47.26548531912092,43.027840999330785,40.820016946385834,36.59165102714825,35.99787815161073,34.31895327590866,35.72052734898553,34.65905030412966,36.69507268111927,41.08687294964749,40.143427840495804,39.78944628478877,38.74997110999384,41.23288050907282,41.84952839347173,47.5662145419729,46.62244984137163,46.03769824165336,50.176789156989706,50.891324377982066,53.27181500775331,53.9967074705278,57.61371603128817,55.57647738022267,52.92090902749507,57.11188957542888,57.479387820288736,56.81787744348314,57.474610009303326,52.33500081231444,55.85744369222013,58.84624258148734,55.35856169550386,53.217443832754796,57.92457049466193,59.0711337551538,54.40599254350396,54.59311421152795,51.62466207511844,53.81544124630123,52.62581389736104,48.59388955665852,45.424699526002804,41.632900001724735,39.369762777230854,35.73784574589088,35.66671887581967,37.17518672853729,38.41540098287655,42.789713424849445,41.453732504366435,47.28236154997984,47.09662416124333,48.75421167615873,48.54361986303801,50.66709305022527,48.299871342626744,49.007707368508726,45.77333872613637,47.366773556702235,45.366554851362686,43.139382888800704,45.04278498091944,44.06792867742423,44.18309507949876,45.186781146647824,42.87545522240827,44.90630918451327,40.84487200357566,37.994162067132535,33.70181791909023,32.622344296868015,28.861013439529344,31.239262661106224,28.550922063164045,28.305190596771276,32.68725140730758,31.752681279557965,35.547490737424546,33.974688827337566,38.64849237438829,34.37407613303807,36.726294765083765,36.92953990719918,32.8223345669485,31.63413482342402,27.437985792108872,28.842487018377387,24.873009557535415,27.499740499887558,27.233102156171118,29.01226690512503,31.936719909991197,33.86021303668147,36.997079650614,33.83163513484914,31.296210945496433,28.079463332420495,27.7368389670147,25.522462884300094,22.771833660075472,26.485032364056277,23.9298091951491,28.34927520254366,30.66995027146671,34.81927905884525,35.63975544019587,39.352784616117376,41.090978273707115,40.55561852647847,38.18304135844065,34.254656466279066,33.3507481334182,32.415981440776704,31.62358421746296,33.86260433679865,36.451792225302796,40.78124911616866,38.68549031128086,36.362027048278385,38.965760962813,36.0175027486212,33.32318801062629,31.02237836250372,29.953593534636834,25.716778382064714,25.849401488288677,22.638843646248418,25.633062776073174,21.97517892823068,24.159713507441182,26.996110589501995,27.041476493311453,28.752615321826354,30.7852369420939,31.973170063610304,34.108827497000476,36.703743719357966,36.85550985022822,40.88587866174717,42.2645109752347,40.790123532455034,42.919669570200824,45.22010856519412,42.248386153384935,39.082541418719245,38.680040696863124,36.67974761038207,39.32197990566342,39.558352388808,39.55337790748949,39.065142226892995,37.01287261936968,41.59282941410821,42.857225494882414,43.55483002711169,43.50052438692748,39.001594291109875,44.103920166901865,47.13846529994751,45.026875297770864,48.21416837230752,47.229583665971056,51.82269325700865,50.916480731631715,52.44053427583282,51.70483350563559,48.54781133627398,47.63943764981956,45.08193136890294,44.928409661715015,44.77972463257678,39.92840332758239,39.98123106504,36.838120818301725,34.44492872668249,35.55962974859724,32.5738494167709,30.03051760997188,31.283878833226826,31.642600765722335,27.018117526283714,26.552692717652025,28.818951047614902,27.46420992682855,22.612309227395837,24.122662243659146,24.99313757816687,20.75579628985666,19.68855397065767,23.357109597527916,25.556469839680755,27.993048199955705,32.34056624822275,31.683811362988553,33.04631687779237,38.319426703998516,40.02450430741292,43.11515014621597,42.92628463258348,42.50296369951407,44.76180277900863,42.606050243190985,47.37845474552667,46.620307580243235,41.37176337382936,44.27270226713079,48.31533584663517,44.83950368300895,43.06581580890156,46.84505158466769,47.588487674372026,43.55027394112916,43.07931612002893,38.86765823844281,40.0471503460308,41.97760788480047,39.33344277775076,40.223585876777165,40.825330780588786,38.418423467283034,36.168607468167075,35.91030545262265,34.95303605792834,31.370024648297296,30.67661273004855,30.095220150372032,27.16598513044717,25.754191820176,29.51398849740541,27.710089173628926,23.075900086080672,26.323070406155647,29.91461705196173,30.84230361352962,34.14039434919144,34.40995437111313,38.6213088722483,36.65786293186355,32.63364966593628,37.150620422973965,38.7319779775119,35.7879866393104,36.132536834532054,41.781136774962754,40.6616143791388,36.66889276169145,39.933812650079915,44.04758143376359,42.26780043328017,39.17393437621231,34.71047287556082,38.81410528588438,35.105414001694975,33.79167572286265,29.134145710155934,28.078546882345808,23.24677719450121,25.0668076299785,27.786710385523783,31.620575948318198,32.24896434522816,32.2039800592723,28.706193601034503,31.3889750827125,27.616352255363257,24.365141036079994,26.51385937345839,26.62785638692756,25.532819732841663,22.51285103322324,21.37930236075473,20.623682672023932,18.82493526597402,16.160571759479573,16.97069747360117,15.818793896105381,14.039591406483451,14.793155248331454,16.753637587492218],[15.482377207240825,16.853047980370196,19.773648011986417,17.584200609650974,21.87533985764903,16.35923492581631,17.777715854338183,18.8940731374765,15.81219503233865,18.641513566722807,18.93404869370916,20.289955162723377,23.475204959270297,21.338627326045497,24.79842763501505,27.138896420560414,27.795317328106304,31.777500610669385,35.04153204455363,37.80645680264528,41.14037805413373,45.35319902351704,46.23995233324509,46.35061215616784,43.71526235648216,39.38521281214135,37.43012699941387,33.209304062997575,32.6234842068464,31.193275865469914,32.10759049111597,31.617639358360044,33.59131539030679,37.7789180577966,36.96822564492889,36.43712735669005,35.834625448508945,38.10946214586842,38.887442167345014,44.81857706486193,43.60376472966971,42.694243113726515,46.91089308258861,47.70665201134505,49.925401114428894,50.763081793700984,54.37617692240587,52.41842794330537,49.96524564584311,54.31511784657201,54.63627958300256,54.192727420427325,54.74595358014773,49.5360953130594,53.073860498740224,55.83155485747088,52.1926393559681,50.06042477712663,54.71450004811458,55.72620901258051,50.90338534752062,50.94812395156385,47.97677067547417,49.92197759928886,48.85030595813965,44.94421135338936,41.47164782796348,37.75035838877491,35.25793078218239,31.60227273204966,31.393121445114875,32.725466056431685,34.12258697320833,38.55079720252293,37.45079898008959,43.32531963879173,43.364309769264786,45.15235962671738,45.12421393388302,47.36636197415923,45.32534962449459,46.23100173038789,43.329742976903454,45.0782825966275,42.9262526013555,40.4683060045564,41.98277767537915,41.15234325377748,40.804567078048706,41.844711025487186,39.24853450187545,41.10036373330453,37.06725886483632,34.41512689589518,30.116460442878115,28.908217014739886,25.10870729483757,28.08671108847204,25.736934204417384,26.269386686964825,30.295675942985937,30.145123794589512,33.49423383212844,32.58045773466692,37.36275057746323,33.34387414009639,36.19671156846908,36.540586237878955,32.669166317175424,31.241804255381616,26.909223331649436,27.49592445716412,23.142033028999933,25.349118912210734,24.344007325075964,26.024313852436265,28.59075575811603,30.516384900819066,33.204766053808186,30.039032313577774,27.446262468916974,24.39490013963474,24.368180153508856,22.518891224329597,20.242036465709067,24.517309246465683,22.90865578042102,27.19240744239955,29.956140913252582,33.90508209294174,35.10854987900304,38.955031044599934,40.254026156399306,39.56827865203229,36.98191190606051,32.804690863840264,32.34228581313009,30.722478289489654,29.47254900431449,31.413371351200443,33.64629578515603,37.77132705085517,35.49606308864201,33.42490739367457,36.002455005744835,33.04882604205935,30.493961024468895,28.3848804730841,27.807144150340974,23.626043249524304,24.508123932931326,21.147244271052255,24.7430461734764,21.302991739486174,22.638659916222206,25.345684397348172,24.91343545017165,27.11926123577078,28.51131460943981,30.28824997163099,32.09194350460237,34.16451630508105,34.35508259249401,38.38912640692139,40.054205332303084,38.64788142290676,41.162240566745794,43.52098179811317,40.88547950770219,37.43165166018204,37.155417545353394,34.78950455551076,37.38709836322513,37.58515942995086,37.43528912613716,37.150290839680395,34.692332790965985,39.54744195390484,40.66090324533609,41.70190263375915,41.582560393643874,37.507023269522634,42.73023310136246,45.73327919972435,43.38682087296522,46.12450783155606,44.763711004281916,49.49208601255204,48.37565670212141,50.27311910057362,49.78598008838809,46.74700511580142,46.23148427401987,43.935389843323044,44.103038753605,44.35910090154013,39.596957694318846,40.056170044414664,37.27584718156771,34.81616758057932,36.566448083428426,33.56047738224161,30.69874018611623,32.444995869257426,33.25626637529507,28.49574233736228,27.888238235013592,30.753542257107874,29.73755569372686,24.67390514202615,26.458066856585955,27.820384405598556,23.55899247980649,22.33112866689435,26.424744346222514,28.211490357328977,31.159368145866345,34.83301966508137,34.13023803996876,35.87040490961837,41.02728343610946,43.12177230245921,45.881290474705146,45.55384473264507,44.76364155337034,46.82833924002176,44.29832982556283,49.018898799937126,48.50101768554119,42.9515842749423,45.56544296138383,49.71084080235128,46.24136232363772,44.127007258201374,47.67034848783631,48.65199447159918,44.6176412235761,43.51497771570244,39.70262137444652,40.574313843210064,42.81139928505484,40.58523146059137,41.32434199030147,42.321270086763434,39.46669020520887,37.22203302938451,37.63201107304381,36.513308384952595,32.59119658575801,32.39942651086998,32.21327509147317,29.238671809761556,27.928421661042545,32.12517790693612,30.543935311451925,25.96072554270571,29.356043711938536,33.090837422026226,33.76098608952561,36.82560787899464,36.62205136148996,40.909964611073605,39.330684050084436,34.92641478248378,39.149799723837816,41.02976242923261,38.10074066211477,37.87730584762009,43.71562176861027,42.83925048314436,38.493210846950895,41.39251135267652,45.84172198751874,44.18111217393474,40.852984250996954,36.28420736742698,40.49062898234599,36.67789913863262,35.93144896052121,30.934297683912256,29.888926110831726,24.90295915482821,26.42088103871348,28.888533325917187,32.69472182018659,33.00688313885159,33.248931033523256,29.174768638973756,31.658350436631725,27.379646766139555,24.863412842699272,26.983199366996907,27.69114658042213,26.152285684516897,22.861808899129468,22.742381006551362,22.096973517769513,19.090474333474784,17.268067687974167,19.11335942767009,17.67715424754535,15.513176804750833,15.806858910437047,17.523132185014745],[13.603755529797526,14.395197942625419,16.89900208824126,14.434281131669444,18.588451397426525,13.185042485613685,14.677318867426012,16.185299011604783,13.375339347243587,16.29707286506104,17.133363773951945,18.66696027393327,21.351588184396487,19.405990536313077,23.25909608568756,25.375487378414665,25.704490308376652,29.89529167998445,33.12238883832579,35.74655989123555,39.16187276120224,43.26037637337995,44.20269334272493,44.18870624255451,41.429229474894626,37.16535054886545,35.0599470138215,30.847740697006792,30.447157469677496,29.087312025475995,30.60106870419811,29.895737909049284,32.23891627947515,36.41757957413013,35.25701767285659,34.54556917273405,33.73441600214579,35.79976563593917,36.37121215954067,42.232713996697754,40.995323083205584,40.35844296850295,44.570525707490305,45.21204316807942,47.489230284191116,48.21207535336421,51.847773826582596,49.89216788504638,47.27847901565114,51.55639361007199,51.97997088861312,51.47254406613468,52.146001340310086,46.954806204018006,50.657710458344475,53.450817078731134,49.83259229531381,47.85733382596995,52.581369589684165,53.50814275928578,48.806326932644446,49.114190520975725,46.275056531496254,48.29230170694389,46.98406436347384,43.032851513698255,39.77055105951837,36.096706876060935,33.702846623264016,30.236331701365106,30.057960038559425,31.738259056734833,33.070114576146466,37.310738894338336,36.134285816152115,42.129673660683174,41.794581085584475,43.73222708956982,43.41984929968972,45.427379161976724,43.265355578335274,43.89258583033607,40.98292784703674,42.50587504821114,40.26586282507521,38.026546961553024,39.73139844856805,39.097959757756364,38.90828353431195,40.30056704884748,37.834184928908016,40.020154592242804,36.04622063497954,33.40211325515619,28.93054989415301,28.12803548068138,24.11540181644568,26.858754215494546,24.31438168759943,24.97343667851518,28.579937027921925,28.134688781485394,31.304402692435122,30.117825836022472,34.64311279017685,30.498759069246525,33.34791041532406,33.515843297803,29.613287633261674,28.33797802985159,23.894966310095025,24.48095201194701,20.182242753089895,22.348615273894282,21.670934844197447,23.29697711917777,26.125622334303362,27.996902517753593,31.08291634509507,28.005817250306606,25.399995791057073,22.202613196518836,21.85966005483654,19.767701227776847,17.27446504362842,21.36712967698973,19.696546799066436,23.983898098600125,26.756529373626744,30.791773498556676,31.86695735315113,35.77235904934191,37.02818542527698,36.466620315517275,33.77078734959955,29.61116632534889,29.044235608552068,27.506406913418903,26.36995479332375,28.416530536229534,30.82157274745257,35.04642245463876,32.88410226236308,30.676363544189,33.320392678805156,30.47478321004213,27.792109790271,25.744606806646715,25.06083775414719,20.97357172074266,21.898704975554793,18.94923790210575,22.816026889687453,20.01762985004199,21.358422775469826,23.62048046391442,22.90814188443613,24.80675355815505,26.200450733259075,27.5861211530779,29.19721322269127,31.50353558366518,31.469133862059397,35.57749193538049,37.042739587671754,35.55511016058552,37.98363682690196,40.31886244458773,37.62496113145842,34.21582647772593,33.92182168727604,31.63972375802738,34.327607360144285,34.640422966973226,34.661645412386505,34.501257393229714,32.254901960457886,37.15904542836709,38.06237584204233,39.01277701524981,38.68507170127646,34.57579366784187,39.69528560115224,42.64666994714717,40.29805435743159,43.16766367070634,41.938200215574014,46.57705459165929,45.46491830698117,47.24314392973204,46.66501819396674,43.62147938213112,43.00898657670574,40.681667700332724,40.838497528316395,41.085284702981625,36.31790692986426,36.83771797023791,34.09502464859322,31.703903490572966,33.588380299352735,30.693893849498053,27.687691824963203,29.463326383261716,30.495422147432674,25.73402178710691,24.94816332017889,28.04874281235688,27.32703775763633,22.099893944027645,23.969946243981003,25.630557076244678,21.45202253346676,20.08761600845987,24.419684407513284,25.919647104802152,29.15847986067881,32.409516485960935,31.63947704393253,33.59567034523581,38.6591338950774,41.01938696108693,43.55244342430267,43.214366056635484,42.24220206292073,44.27575711654677,41.651214557103884,46.30049757945439,45.79069774050111,40.121093621891866,42.6835700169282,46.78969029743344,43.28543433674515,41.092436389082685,44.58405183749238,45.569462367849425,41.53490647382475,40.31220242840802,36.59569972749114,37.510714950114206,39.84172179436344,37.78637710518516,38.63087650291897,39.87042610897857,36.96970296540848,34.52632177189213,35.21106903806115,34.26926134925434,30.142584316776603,29.935761340248778,30.115037692933566,27.23017924414492,25.694913864396604,30.10559488508725,28.83528127724966,24.23561005930062,27.474455192291416,31.322700731168624,31.706821896925156,34.67731505584554,34.246507358238475,38.50716276342547,37.05395756643745,32.42493407301441,36.515712202576566,38.46783058659679,35.53226997437546,35.05504609923595,40.95397063595995,40.16791196918992,35.68324597500986,38.43395614427145,42.99546876289605,41.4083231193394,38.00829054816831,33.43964002365534,37.74035313195565,33.97685613066831,33.41685756359609,28.30840597544211,27.151441913790087,22.13623138494117,23.662330740796442,25.96192570533877,29.762689359120046,29.91881001570602,30.188077571246613,25.986546872077597,28.463249605791116,24.13167553704752,21.770896885627106,24.102071775490785,25.041305215012727,23.64022117238078,20.006930961082677,20.10852973069702,19.85902545703456,16.503130103772683,14.549550658917816,16.976331564035835,15.936375879332326,13.988002623873976,14.606146220396788,16.523281515761795],[16.637846319879827,16.784384995902954,18.667824074845495,15.009075809420171,18.72149459946222,13.957627099373497,14.450741751717173,16.44220557218366,12.881726826779232,14.596630403511478,15.393679158484995,17.81032947443077,19.7347465455567,16.980394668020296,21.088336865116062,23.478749542632602,23.33260267005595,27.28463426519962,30.065558378397192,33.04472228263008,36.20216046906045,40.447805875062116,41.132190087736824,41.004192903734165,38.48190167551624,34.12293115382497,32.36775953024151,28.220735446814288,28.131489927046022,27.293961681214704,28.524074048040475,28.53838552456243,30.996417351543258,34.84114672835999,33.65117677236225,32.53572541684225,32.20540702094088,33.714475600782514,34.27627535558655,40.34495425796731,38.59772005624486,37.80542206073476,42.1410967453578,42.68007486559474,44.694586168802346,45.37717659200358,49.058083341056935,47.3303724909069,44.78973529089701,49.2060971146488,49.770795276411484,49.52207458768184,50.21427448229856,44.96627737346174,48.88138573188098,51.35685313879303,47.53337598579602,45.76603449670347,50.46065505657843,51.06984695805343,46.25153342937591,46.5921907648068,43.87994954323102,45.517959623131354,44.18982758737227,40.44352768734797,36.818689641935514,33.3619256239242,30.565538217326775,27.274260943658806,26.762206655644285,28.311394882851864,30.021514346901654,34.20359419165207,33.47159847762619,39.60797486747691,39.387741915109565,41.63496714765068,41.39940645259605,43.383246006374726,41.603790251675804,42.24483813834338,39.7939577293501,41.27475812964367,38.74763357580437,36.464831908654446,37.78625636693762,37.554458714425586,36.81978774586706,38.52883899387839,35.73875597900289,37.83419856212482,33.967857727908985,31.658803828454566,27.13683267335451,26.36756520922684,22.24730190789074,25.709678735239358,23.568015323348362,25.191498640565875,28.087113749647582,28.34171276505858,30.83697149232324,30.17983554989033,34.50667933696893,30.558856627254706,33.81711770526538,33.88850188208351,30.202611232163306,28.961351643692833,24.379434411968877,24.128064229830862,19.590263075506414,20.986433680897964,19.63989087976622,20.821379390010314,23.385519743400454,24.96048704861283,27.776292280673694,24.977030572865047,22.132801845941152,19.16880936177738,18.749236565847188,17.17124922738887,15.394350873927037,19.89062372936972,19.50114578222521,23.491850469680212,26.676582735095963,30.59755576514324,31.741008299806275,35.83778027532649,36.57723574306662,36.12600843964618,33.00373358679508,28.647902714320523,28.224757645266955,26.023541920322646,24.328979566843664,26.233856725361047,28.041417369018436,32.18303288895289,30.044726609434292,28.159808551894567,30.927434784583692,28.331401378771893,25.710878744246106,24.146628159009115,24.062671863152314,20.28655804965771,22.108114792426093,19.456152293141564,23.91757679831174,21.710466554614978,22.234196780379634,24.071817390767777,22.68346942728899,24.859825977333486,25.46968607613314,27.160603049124976,28.078137910461756,29.936475462476178,29.56206193089033,33.78776467313769,35.27303703312428,33.57579855010224,36.43113749282006,38.62715779233976,36.234357967566254,32.58045551584051,32.57562686019486,30.06184199257531,32.9320409941323,33.4154518900403,33.49684012584014,33.74062140330843,31.23691920694223,36.45724379952649,36.96585725981934,38.22670003159855,37.560874066776634,33.96867717700969,39.00789189513334,41.80432354628242,39.18338033135916,41.66674479648249,40.11403436808453,44.751286545730906,43.25231130674694,45.40131024380529,44.968368154842956,42.13357333700446,41.80783862006704,39.74769730702237,40.23707061819761,40.818570783578956,36.15403625195196,37.13700946146505,34.698483081960546,32.50061284514611,34.89971064245214,32.232097308386436,28.901546097744948,30.838104264763334,32.394743925114305,27.68348258803441,26.416059158659206,30.02813022572788,29.882755256035452,24.424323075201038,26.257039818617177,28.38166732527291,24.423607728983423,22.652582019236334,27.10014208251865,28.188906627167395,31.916895127926566,34.34652447090551,33.75755911981275,36.09423327512978,41.03354498010925,43.728240690672855,46.002999035059254,45.737155235982016,44.49974788719033,46.460960926087175,43.63414303681773,48.13189257791292,47.68258851799202,41.784596242841616,44.17340991148691,48.19072541425674,44.603759767322536,42.20223510252305,45.479765227554225,46.45792148848539,42.40663426316132,40.75821100184637,37.491630409765165,38.4073110103289,41.02979988599246,39.43956908139708,40.3338530992032,42.00241690951316,38.85286756884534,36.25230015349198,37.52093629283824,36.66525266682353,32.26269256788629,32.27491409411904,32.921055303738264,30.127495907679965,28.470700523444563,33.11662061206192,32.150042118029425,27.601797381292364,30.66944452590932,34.60035353139395,34.67423822122048,37.523072725789326,36.77085462190881,40.97210853169639,39.703545348754226,34.76942474544073,38.613297213297685,40.63862440512074,37.66154311313302,36.72803982446838,42.71214073960056,41.957514568287685,37.17875932407056,39.65788921672575,44.40834537309418,42.78527507966512,39.17813148281533,34.52571732939256,38.71754664962124,34.8162241556453,34.85363451976497,29.529628489243443,28.6470753834029,23.682926207405156,24.610933242795383,26.70811564059347,30.344818416453347,30.35744574014589,31.106740252754303,26.602929115415726,29.046064703319406,24.37859721239659,22.884881864035606,25.489569585119554,26.995152867111965,25.502982948660165,21.491154897788096,22.347652837919668,22.51493872588537,18.363492609749084,16.827308936858717,20.033548519577312,19.190150909494633,17.240864437630908,17.630924448020014,19.294595271860736],[17.635307673997048,17.307222043101802,18.91276927481111,14.35312379558272,18.11566276135111,14.569977293984422,14.845084251633443,17.668074841536836,14.297561327254908,15.123230393355334,16.41182624397977,19.4722713924035,20.337589003386814,17.149706598803128,21.701344767565175,24.075307533215906,23.159527234524663,26.99371118175233,29.152666184498656,32.3711306608074,35.275246931050155,39.5317675428223,39.94698363684507,39.49268606490884,37.1536853106336,32.79588617019631,31.3097271097815,27.312120785062472,27.8159116115402,27.561404175606704,29.06134398397086,29.48011243996487,32.25479232251025,35.79577024767958,34.33275785892929,32.73894470780577,32.609894802562835,33.384715022360986,33.65648378309536,39.76802539642446,37.46624794976415,36.90997280089573,41.34289262738724,41.54438852384699,43.303359003392686,43.72302307326252,47.48987888611135,46.08000846156203,43.3639838420293,47.79381817503519,48.70324863157778,48.61904192226273,49.51123047502045,44.26688413852484,48.5697376572344,50.788685104891265,46.8112506245809,45.444363725215865,50.15863844911436,50.357693591456936,45.58243662934475,46.22322023930559,43.7763770157092,45.07249637989851,43.51353873559854,39.976927458098686,36.1814277701127,33.05641539567194,29.907645783275694,27.043970719978105,26.14258398464598,27.72296664107491,29.85787531658713,33.78445070948131,33.509849864603396,39.80004089956855,39.4220988705603,42.04852487383606,41.659114771020974,43.39528628344474,41.836488790535185,42.18254694867746,40.095829946579336,41.25224274065227,38.401739409937015,36.403983018035944,37.61040956386459,37.92475011958573,36.89381212766996,39.15381794660618,36.21980440614746,38.43449463240322,34.74573429715994,32.751876186007465,28.164060402255842,27.66839034278896,23.449891080036213,27.213278989496175,25.24865781773165,27.41986101721287,29.598127734247747,29.949648666942554,31.884722732130676,31.20980518180763,35.03176337233714,31.03898810708045,34.3867684895291,34.06934186737729,30.414541026262217,29.56082860975929,24.827138926358046,24.22721806559106,19.796316266128848,20.44675407828912,19.113925969259288,19.58485177086945,22.24560042328586,23.20064468424953,26.254859611822898,24.051067154043384,20.893939830893597,18.15883336927162,16.97125058387719,15.765143242641539,14.538693123760465,18.804322344845914,19.3109987694391,23.018823787689534,26.36505534115635,30.41479200672522,31.140707670855488,35.45906091490837,35.840023884183346,35.81959680446527,32.16732030422086,27.779231013930122,26.95060134523248,24.504708365786918,22.453794719600342,24.594631373090433,25.81815373003566,30.136338948589255,28.36492644322204,26.694520029517186,29.73994938485221,27.653767839906426,24.929714029324806,23.980214980157484,24.220126040059036,20.90938753207136,23.211318362775636,21.246009096571733,26.023477650135675,24.497829526183203,24.795676817356483,26.118040331082337,24.218836278641074,26.16994941017583,26.337969660696672,27.6828191655325,27.80817495300882,29.65521237936907,28.55380013890692,33.001219405842015,34.064524083883654,31.842443347618897,34.93707299637361,36.78034425706154,34.45222467732177,30.740524572529413,31.10460236255838,28.700456967358104,32.0098266917933,32.88891571261353,33.31743690422199,34.02354045476754,31.659239561752873,37.07037900078365,37.051286594136556,38.38282409919806,37.156101740506266,33.89727867180266,38.62477203173097,41.17932069272865,38.373579149473926,40.8036880853094,39.21013129964914,43.63432207851546,41.7065971805047,43.997105904197454,43.46560264890055,40.8575407473074,40.490881749399946,38.550583430028944,39.21739549161789,39.872898840039014,35.24115203708638,36.56139589615961,34.19244016886396,32.423270764368475,35.01172838040305,32.76525334511243,29.167748388048295,30.821392167984754,32.851355993585905,28.31114477182552,26.288489767892507,30.23881478721307,30.804496350683827,25.033083764178272,26.56592078537976,29.102710658761918,25.51139303323532,23.13005216198587,27.496605599822004,28.211755262175313,32.394617392309556,33.97916545099428,33.743704501883876,36.426818784208784,41.28207103234501,44.223888143053934,46.3611787042928,46.37261031635311,45.02193323883841,47.080952205559555,44.2861620575173,48.588485064490825,47.96236850087082,41.9396855915671,44.366696551911275,48.11786597099218,44.33985096961825,41.93843225269488,45.13212406300786,45.8078253931166,41.690764332174275,40.016733662970026,37.06105073411127,38.384033690903564,41.19444814198143,39.95466190941372,41.14853860092493,43.175976690217794,40.074860607427006,37.12324609305395,38.71503345055223,38.22167448469324,33.627261072892,33.446369889856314,34.55862689820101,31.948661434067148,29.89808913038386,34.60797316837204,34.00345838523275,29.429240587584008,32.060384284760275,36.05556473818528,35.77828943774249,38.65876367107126,37.79410402008517,41.83611748101832,40.49245718529281,35.33665717160048,39.076497881625,40.92722499989931,37.83286473230983,36.661101263840465,42.642878225761905,41.68017665780919,36.703060411572025,39.11101350131573,43.86696202736109,42.04313960228004,38.288351619834884,33.55885511872245,37.49291534473102,33.431208910772234,33.952789750579576,28.53075076191074,28.09820317391653,23.302436381447237,23.516191798059317,25.547704049273758,28.975730679254244,29.088643316797025,30.387467227146907,25.96070439113776,28.645553072428374,23.954796532019508,23.04559856547883,26.271026439138176,28.122080008165295,26.98930713536418,22.490417504930342,23.504456813169618,24.33743459569939,20.01444650726739,18.089397799312355,21.77074353771444,21.572492029838664,19.934177180182665,20.553605662816093,22.25227221953013],[20.16229059858605,19.151080331861504,19.669802053376955,14.7541532414698,17.061402447855798,13.980801030842478,13.000448895840323,15.84418556514863,12.22748130600527,11.804364647772472,13.269217293236016,16.87860184708918,16.798996181449425,13.290021155715925,18.061633728810776,20.368385183812194,19.020743013438114,22.764179577461796,24.752035371833998,27.99585524303056,30.853811619657947,35.101654573910274,35.502350381482294,35.05327907481325,32.706632913736385,28.340497477722536,26.9061091796318,22.941826543352025,23.598147995180334,23.661104800542955,25.26653776266039,25.979532867570764,28.960723849995144,32.22906956322568,30.585434566210143,28.71254365714447,28.77977939569216,29.191590283260552,29.451726988103673,35.627452506470235,33.165715823489336,32.52207350038439,36.97712144615538,37.1729814919289,38.893380231208596,39.37613958331252,43.13098558025751,41.715404805205424,39.089822069899384,43.58436054925949,44.44941903795285,44.46867265542587,45.321737622726594,40.06495667824457,44.426082488589,46.50793289222185,42.47152069488411,41.19435985726623,45.89145871175676,45.975728202095745,41.19524967993093,41.91575250570435,39.57205046693531,40.78757625715178,39.13471448077807,35.645457769566676,31.860354859159205,28.832596818214064,25.6638998346525,22.999940056243368,22.058236891099877,23.90030604399129,25.994684612161922,29.722208277890427,29.509423677788348,35.863962434483064,35.30386305726585,38.114226536729596,37.61724829324163,39.2384320191368,37.838197980380386,38.13641551445981,36.32868562804103,37.44863572642144,34.46789464806316,32.444431284448655,33.45889814210095,34.029631204406314,32.780730200201006,35.334331480792265,32.35139582495545,34.7154121072234,31.16982452763232,29.384661980384045,24.764442068593336,24.615319861504613,20.339340950881475,24.210933432950977,22.485898945296316,25.336213594474547,26.69524728556823,27.47380376662664,28.776064791685855,28.514560954959787,32.12471571127449,28.43461881699809,32.11318466906705,31.870781508339498,28.582891584161178,27.595187330414937,22.965170730388245,21.552714367247134,17.07278321083772,17.088687910042314,15.190910502363813,15.443229537636547,17.883393326563507,18.850253410142024,21.809594188013534,19.643117232965352,16.456068463443174,13.755453889530854,12.63092149146078,11.691613118812183,11.114265539727116,15.682067990836288,17.295172876467895,20.531501550052734,24.150239740294264,27.827198452696283,28.905828071197387,33.19426609988122,33.16392346697058,32.99699525736892,29.25077725003426,24.763325174397767,24.484355638375334,21.4397044527232,19.060327573014444,20.805500493401198,21.88867879298404,25.992870597451805,24.05328950197382,22.49888648303019,25.501387135914527,23.485180489218948,20.85495926368315,20.197856688792452,20.88391553606384,17.96538681565045,20.94449251135531,19.403361683214197,24.495917067664635,23.767068710246335,23.36661469570299,24.086044915886596,21.62600704994915,23.640616152841535,23.159631717210644,24.69361823109957,24.34071203204592,25.785127823915165,24.619023050115857,29.025760404501572,30.26919182203863,28.211249832573003,31.536152681650655,33.498654972257484,31.514030339517365,27.616114662214923,27.993809954096243,25.280603297819933,28.450448229198454,29.30315297351407,29.6775702906235,30.626607509351665,28.112416973863084,33.662790641082026,33.37427923790614,34.91718176862098,33.55623056881953,30.72138916910426,35.41432783266305,37.89423363798863,34.94328642953175,37.01083108120953,35.18922517427954,39.6678299031657,37.66387659070409,40.16174994511939,39.83275124589233,37.302159777231665,37.276304732884725,35.58409292082616,36.51056629603926,37.53685672754645,33.11670484054042,34.761519212158895,32.85769915594213,31.03252287035557,34.165947274898805,31.970717970804554,28.23351814946834,30.36163444751968,32.71392264085268,28.26489322599149,26.35913633015728,30.649228133240005,31.428841927917496,25.868123578535187,27.677294816036756,30.484403596590933,27.01770123943731,24.865839081813842,29.426719309525215,29.738614998379095,34.11093500247598,35.14392664618081,34.66709068149707,37.56884543546325,42.1296387082331,45.413431884499715,47.107474203371936,46.88333661338547,45.16222729950673,46.94613916878279,43.8204540305586,47.98059109823187,47.6469537377581,41.46753794051984,43.5154106863937,47.327281561569855,43.68988683517884,40.97556680459491,43.84851821407055,44.84666969255257,40.8670074657482,38.53527704382645,36.04156367303327,36.93015795969777,39.956619486492585,39.16196398075826,40.17938496617466,42.56501843045143,39.139339680761985,36.237357261521026,38.44892888138167,37.8735307913691,33.096782416231044,33.37555848700828,34.87335176420138,32.36100241608789,30.456770063709595,35.391306866232064,35.061452884809725,30.72853226992182,33.3904096816359,37.38520542906457,36.863181398358,39.38336479549822,38.04781394732355,42.05333419833405,41.18478567045163,35.820440518224444,39.10763032079607,41.273301924206265,38.3382235455568,36.60699264665106,42.604359031476534,42.04437857674539,36.89216908396318,38.778849968537514,43.79161899047254,42.27883329477956,38.43255255438016,33.82998618595022,37.89845333054142,34.02811408127588,34.98613019169223,29.492678442387998,28.804065395892167,24.15748952816533,24.35934966276396,25.844421209488228,29.093798672413197,28.688677666422144,30.017298679083588,25.149087997355817,27.37168913783612,22.422068648672944,22.38279390669659,25.33710830453202,27.684549253053873,26.289935421109522,21.775707672895226,23.706721732409907,24.667744731318543,19.657158580864998,18.69795175364416,22.915861753802382,22.634128492668168,21.01999659476128,21.38498119640557,22.829328657536752],[22.9438910596863,21.707127602554703,22.09506599285195,16.607576460207987,18.810506392331554,17.221272852811286,16.151181217762442,19.499457400598605,16.24241365101833,14.93949766272582,16.560752852567074,20.551802000384,19.454215983506355,15.554806175576177,20.337799868193798,22.613242675366937,20.40840826012458,23.65938401907392,24.609347031050884,28.22328240156384,30.567428565620386,34.82148568248142,34.764352618027104,33.88209781331111,31.936881193619094,27.615978579290726,26.748463729888446,23.151004238160223,24.596281768315748,25.481420640054125,27.092119206653436,28.454437822036024,31.599536639777916,34.38500458306281,32.571463842973806,30.15449206380572,30.625171142519495,30.067261020708678,30.007414752755636,36.159055255047946,32.90672080840975,32.466555106281206,36.99546674110768,36.76474136364629,38.028436191390085,38.17278044640998,42.005737167176505,41.08962726309503,38.33492532172373,42.844128523309955,44.15608791462304,44.46471998594213,45.534103262280354,40.337117175155974,45.122685256204576,46.77743598407923,42.541462935003366,41.79133738761304,46.42148651002458,45.94053563321675,41.20946414073884,42.22860785073158,40.24184687610757,40.89179523501395,39.03659930531467,35.94357074231925,31.850363193983174,29.377778803128457,25.693674263317895,23.69094955893971,22.15424555523287,23.800706606271266,26.524364202919227,29.85425921329879,30.380791588201454,36.77420702190677,36.178303248915874,39.42221906171769,38.854478180933604,40.21124357926426,39.22261136886585,39.2419332717072,38.0008257679177,38.76415342483966,35.41626160640525,33.7205086726897,34.43047587191717,35.679770895772215,33.93734238137171,37.056253596388416,33.85904577474632,36.18422540574267,32.93379938527097,31.626302318409195,27.128362374154857,27.15810740182388,23.01245728969674,27.23787966331478,25.871123065749615,29.22437701018288,29.887451192031023,30.89781474972137,31.550426327443237,31.40802549504271,34.409617460382236,30.816084916275457,34.540689559231396,33.89286342730784,30.747126943005334,30.190854349619258,25.55945600665801,23.75531576568586,19.62924426019433,18.65561360360451,16.702273375773444,15.826211708088971,18.037555243134683,17.920978743898214,20.87759456949173,19.755453149560566,16.225569448181368,14.26005908198358,12.105120346057156,12.22376394658304,12.850611936475785,16.678758522065486,19.474541526989217,22.14080957380653,25.8262825898127,29.492141746748622,30.070140570822755,34.52676935352145,33.99702741107982,34.34973192520514,30.006868706677434,25.59558288247922,24.857519848093386,21.45757617499601,18.50861799003402,20.419659540041526,20.32216069990526,24.50862642969794,23.13585052617449,22.10086673989135,25.39440789252757,24.18274657142798,21.599698301382933,21.867494757466048,23.038749685557804,20.8335940619955,24.212027095990717,23.30174646880913,28.492296918973302,28.214731468614865,27.623569834410155,27.964476833281783,25.11939402860994,26.936987642243672,25.92831529446494,27.1578490685522,25.83507914278716,27.055774265900382,24.98222999651247,29.535967246948548,30.25173872027237,27.50641829356974,31.205088024509358,32.62323580018171,30.85798364224749,26.909384890714904,27.852322552558874,25.300216029767498,28.959254731052738,30.29444381998334,31.053224775006676,32.56459326024527,30.188514132840755,35.849015623055124,34.93864534916083,36.608648800018855,34.59437641090375,32.33362149890011,36.55048812888825,38.670615330911865,35.49530684618088,37.34052878017324,35.39352921128877,39.542398682372465,36.91045136048597,39.68363362579957,39.28830443645727,37.1428003637676,37.15143909203928,35.70652734240093,36.90363444082332,38.05946520645382,33.78646697634071,35.856006849135326,34.09671862933412,32.824103055991436,36.10969658692292,34.41760461202071,30.48368385068574,32.23170428928676,35.038102708274735,30.85736045244892,28.186686214499083,32.710245121193424,34.18957499665087,28.418380886265073,29.838803986845548,32.96554650783859,29.901078429079078,27.184045805437645,31.510151718173642,31.48394560873472,36.223384601083374,36.375781960013384,36.34547019568734,39.55635380595558,43.99774189480467,47.47711971265189,49.05423786936417,49.15990334588119,47.362874179272964,49.25229724132967,46.20741205645626,50.11686898206097,49.579722273474545,43.33554998301845,45.409846123372866,48.87008807178998,45.04590457428787,42.371274338916926,45.10233683150031,45.717580766499275,41.7062944702306,39.368521403192034,37.31401691347488,38.66508737139374,41.86440820709661,41.468380135801254,42.79154492540504,45.50952598585442,42.17379649934966,38.96128298017012,41.44621283209855,41.226043745580434,36.34205565466077,36.40890841943531,38.29036531120241,35.96076962217555,33.71990802024604,38.620165679359204,38.58275049336587,34.23927798503793,36.47648612396022,40.485495478694176,39.66719290000827,42.23309429041663,40.846247408032305,44.64527382129817,43.66478006577474,38.1597221951781,41.32381409821917,43.245601603031865,40.20655913964039,38.273969389811924,44.17906057633159,43.353327859343125,38.05514854328758,39.85040950373958,44.78580942844418,43.02395739201401,39.05501969025028,34.4332184632314,38.07245655445365,34.04922604530813,35.58321584130145,30.109020847186247,30.020022830433003,25.709300137136484,25.042422252737023,26.422572480939806,29.294841596034153,29.05250240163316,31.055846362477318,26.441590228215453,28.881634579004643,24.07719340517394,24.705428415290633,28.202968902815122,30.80457476485815,29.77756567864114,24.95710473492798,26.90527592279328,28.397231153266183,23.442823124440192,22.103160819259145,26.499352185770586,26.711234237518426,25.30758757690028,25.82325805183137,27.279738012665977],[26.54511278992284,25.11887498191343,24.886996689697863,19.619839054031228,20.514251532243687,18.763157710431166,16.571400314466246,19.213820423259406,15.594667288786768,12.953877286862099,14.005661228487503,18.303009161125175,16.51737666965227,12.113747110223818,16.49007216668324,18.867115416354988,16.452451422341642,19.201852319628966,19.92980672730991,23.76265615013896,25.95318531214281,30.344398443013333,30.23563724494227,29.572061500707367,27.73978376183787,23.31668745622963,22.71084563409327,19.176628764384347,20.548690979767457,21.797877307303406,22.835073753066077,24.85676007018557,27.879019156653353,30.262852514906708,28.568266978588753,25.970935259039525,26.961198287197593,26.172845210057034,26.392378390101904,32.669223381639725,29.320209208300213,28.35821154149994,32.899472533163724,32.906090570073346,34.08526199355087,34.530398841403596,38.287305817782965,37.28856642376498,34.918963995922425,39.58824820285469,40.629683210919474,41.131038441495456,41.961842496847346,36.747499450527165,41.35241924542074,42.802664366586235,38.48564661067478,37.63431690988142,42.157184268911585,41.6580448239511,36.77514805912052,37.58322336477379,35.578464907758125,36.06241560732643,34.34858647037525,31.350541106908107,27.027846302081088,24.62368549682953,20.777751729430538,18.858246942848524,17.188720816377778,18.86671738557072,21.62478243789884,24.87666979090643,25.578086718036275,31.95098146140507,31.48644822208299,34.82687547669983,34.407975552387406,35.86787845673716,35.226656732626594,35.51531822945828,34.65218979763179,35.65076742283133,32.29013601691116,30.2749038312587,30.484021924263953,31.831734081752753,29.617518339704393,32.75133671115987,29.35722650761509,31.55469652372119,28.459717266942363,27.461490636855125,23.130211271283326,23.27650045480259,19.32644804836536,23.869264572203427,23.04650916407786,27.11441437176136,27.08365580905789,28.917535714168707,28.94368513734661,29.630621297305897,32.65476419166025,29.644048216701893,33.74018178023993,33.46071998342608,30.83389506249739,29.87003864911211,25.569387259237022,22.902568586411817,18.788786305525218,17.27209192579028,14.170155880540287,13.164981173595404,14.384782619966431,14.452752153256725,16.468473138754415,15.24377331651608,11.696680186130207,10.198938493912312,8.989957251808992,10.17937487056727,12.018875557717266,16.117291779985656,19.86515840879084,21.955961742408928,25.8142759304933,28.80032055617919,30.08905961221888,34.315994352174386,33.39563086730131,33.29186695128445,29.16028185787949,24.709997448178193,24.997828385153653,20.908183336273204,17.620235001309332,18.57500522991754,18.15606627677225,21.651756753041262,19.75740201162444,19.110498980049364,22.106069318397573,20.79921567889447,18.63484739026023,19.17336349909962,21.02089295683223,19.242893504585965,23.22680240166991,22.366572565220324,27.599096384760276,27.7269112132485,26.32694093859288,26.302979861996008,23.086045141427505,25.259315055128635,23.46582755818981,25.385125922903153,23.804685426949817,24.1280583280505,22.42919480232807,26.682141778339325,28.004000526424726,25.818676732579142,29.81007715295054,31.516741737202903,30.331149057695747,26.185053359044222,27.012996643732645,23.950077120479964,27.0722582909876,28.111777624800983,28.510193395954182,30.126255176790032,27.319407473260235,33.034847311554785,32.05005530504922,34.09215796265179,32.24671533242822,30.580947355729187,34.878711745498116,36.98548381572441,33.69008987579933,34.848389590189214,32.438335822226385,36.787698548618486,34.159596737375324,37.32408177160023,37.365785242166766,35.30601598030574,35.92507889887677,34.84939864852372,36.34817049648846,37.9813606119812,34.03723317159845,36.33387703234039,35.12351576837831,33.58308595442473,37.345132784237485,35.491810433331864,31.604140337762896,33.98213706619539,36.83481099975291,32.68315197578797,30.54504055906873,35.170331761761915,36.45241929792176,31.057170409222273,32.85248427701757,35.97655498443631,32.8124879994879,30.575904630646217,35.091576546645314,34.955523538055125,39.61764935009264,39.7418221288936,39.34866285937407,42.56524605468978,46.78528316728929,50.428115910936306,51.679937103617846,51.420424155742076,49.330841249933066,50.8788884582682,47.480039181519025,51.32550623820524,51.20182992327814,44.89260252729573,46.520111341197975,50.16693680877046,46.61480723112894,43.616121768859124,45.99922525141366,47.12096173984002,43.323563451058945,40.271812882855635,38.62387766179289,39.2489015311716,42.57298322102499,42.492076900102965,43.425511083983594,46.30729065837561,42.58890595717611,39.68724476221008,42.63460772181858,42.09045631129593,37.17378773014948,37.848664114407235,39.809650698454305,37.469672130786854,35.629911648279545,40.674443342726,40.657979397337364,36.550865663490065,39.072182696746275,43.03730263809714,42.21478396588118,44.43395501856692,42.67144152597061,46.5097503493779,46.02855202338298,40.47243824216563,43.24407189832635,45.55463017832835,42.73672153926177,40.40343390464907,46.290657772333326,45.95636445297114,40.6133458714183,41.92085817630291,47.07892902882931,45.71263761724283,41.744025397072264,37.304456651957565,41.13727867321373,37.36951259923658,39.070483527109985,33.60637479475621,33.11709323383342,28.86976008803315,28.51854262598194,29.47369182452461,32.24086815473976,31.48079017446823,33.25037630078424,28.223955854228006,30.005081313537392,25.01787534646867,26.258779104950726,29.05740456597554,31.94508921820101,30.416006398250858,25.97085667545092,28.69907419300562,29.887873616503743,24.44288618492622,24.23478651537037,28.767579861923537,28.508586663076812,26.923885170250824,27.00593067908454,28.107694128962834],[30.268486026779183,29.011880065236657,29.1136855746749,23.590902205643488,24.893717767536323,23.624868596927143,21.677488032942914,24.457125861652738,20.804043889954187,18.08171549143472,18.791720247553545,23.099369160677334,21.212835428060263,16.60850575816959,20.36400750970716,22.878283200013,20.2222615336144,22.106726009155324,21.729776768233478,26.01764865996358,27.44648775500991,31.891497800635243,31.178693939119285,30.21517971446111,29.083352336178955,24.769751620852887,25.035895227777605,22.044775665300726,23.868461701149155,25.727237710363525,26.087669308148662,28.894842018953778,31.67594705149684,33.57192454173206,32.09281602572852,29.20755109088144,30.786694744073674,29.338117136486666,29.48888928864515,35.66733274739111,31.629294895855942,30.53789983747947,35.05176618660646,34.80705314010895,35.379075953249135,35.61191574607056,39.34353165271369,38.904749516023976,36.6714609952355,41.35678243138769,42.71430237595293,43.59506953695778,44.49331859922931,39.39772911615248,44.17800298986523,45.1120646264978,40.615392688786706,40.150994270082265,44.458392199712264,43.44696613779496,38.533134008363014,39.33258162671593,37.59564108385514,37.33448996877362,35.717661067082894,33.28234425448738,28.420544394788266,26.651308997167245,22.193688226498445,20.8535993215323,18.502305036116724,19.338435393527703,22.913382536949186,25.857738329409997,27.518729654325636,33.68482427505211,33.632944121725274,37.239509551281564,37.070301862072476,38.4965786553391,38.43510947984471,38.74921500004751,38.459654706797956,39.34481527134055,35.78529337905466,33.87576301825156,33.569916700974964,35.34723309108047,32.492216161622395,35.774028241558334,32.05395730179664,33.80656876260505,31.014715233074817,30.532542042197832,26.556162824239824,26.46665833939768,22.89968122201276,27.925186568702546,27.546978171824875,31.886287996553047,31.67619839998858,33.89131902966266,33.59970383707564,34.56261345553146,37.33318181715948,34.47398515281319,38.58090366447044,38.12126721804144,35.57166948307318,34.81818807082018,30.52830780183126,27.75036773202367,23.829513170256124,21.920903015871872,18.762446619377098,17.13589794144223,17.713050744867804,16.811074155772477,17.90596349701665,17.79987753270414,14.277318675634918,13.955048937911313,12.573776707583228,14.617104867510974,16.935438975164192,20.517996076068993,24.67080010231106,26.52648954889789,30.355691795595916,33.30697540962289,34.277726043998506,38.56997068166938,37.31641982760089,37.53542685216198,33.07445274140425,28.761197762739247,28.729117456493192,24.487889005509672,20.849574235781578,21.769352525542168,20.055492440443377,23.19908444228495,21.822494436544915,21.938205170181803,24.943677114454704,24.31050168034416,22.441196082691658,23.589141247807127,25.765299809249374,24.317936769006856,28.40426378999884,27.58068019227644,32.79707257864956,32.774651935947574,31.28642878368235,31.33811075273959,28.07432377417599,30.331863155593222,28.24831363390871,30.22027341708731,28.15758934667467,28.097693673770507,25.930676035684748,30.075674725923058,31.106225874157484,28.470355530540527,32.76949732265063,33.96235572693412,33.08098795175701,28.96789178385844,30.270713430324246,27.368775646601772,30.713442504517825,32.021682739369616,32.57048136390524,34.50639299077293,31.662081868738593,37.360584360468266,36.04669116088032,38.261873800768186,36.0726334751672,34.93070313170899,38.88130126046378,40.699702188935206,37.25574440014757,38.04479559687063,35.408413584220945,39.45571344796304,36.25008114053663,39.781546173432474,39.87827064202571,38.23534467175753,38.98697267854064,38.183476337520744,39.90340690593961,41.63261963879661,37.83576221517286,40.39081010453954,39.22893726625569,38.053436965857955,41.80942419728418,40.22668214160718,36.25771761168592,38.31817098491973,41.36104067915026,37.312398266602045,34.70518140750291,39.38505657562145,40.99347882039635,35.38505762697078,36.880654845829646,40.103028728738785,37.07747022561993,34.43924233913749,38.75816581802867,38.57642920588156,43.40966632967451,43.156141065082664,43.16328051891874,46.510398220717526,50.76344891540368,54.41283943401093,55.74805444006142,55.77234694002888,53.73563471044095,55.41479450743311,52.12902541913831,55.85377275026119,55.54651310942884,49.2321246999061,50.94471105849299,54.34534100465654,50.64575041718048,47.73858021974723,50.06231828557686,50.85319749391354,47.01967534262378,44.083607419750045,42.685641926898626,43.671608121425194,47.067377972326874,47.153092690288375,48.27304476333752,51.26299901180214,47.623168439964246,44.577297552645575,47.547645420650426,47.161594898414485,42.22313441849952,42.71889154716503,44.749044988004705,42.43303617254952,40.41613149642853,45.4068964078446,45.414803263373,41.19059437661871,43.543770173700835,47.53680996866871,46.653606622934596,49.02405433865287,47.36587141747301,51.11584580561755,50.4340719652601,44.845551312953276,47.67856478379927,49.75598727395982,46.819674313579355,44.51355735304849,50.33421868897435,49.699520927087704,44.306616513564634,45.68623052647565,50.711757071429055,49.067206315957726,45.03818772834753,40.556453428850425,43.98237850462488,40.03491292253463,42.04855533739672,36.63973252914213,36.68324901926602,32.598263940571876,31.65532035699265,32.722080759320235,35.24235279897087,34.766462916416195,37.018721396290076,32.28584001512323,34.29663365580408,29.460712791749934,30.872678909407732,34.000601282799536,36.907857291332,35.54787839305308,30.973140626703316,33.50355457648721,34.84873822155549,29.520707328861725,28.923119301448306,33.40687025607069,33.28747415630345,31.67110404673089,31.783606893055193,32.89688603977035],[34.12522962845707,32.507073858234605,31.84644097920686,26.52760726246419,26.49224739413049,25.566978486027224,22.75189031350955,24.960736372208363,21.53239208205576,17.744128080689148,18.116103229936286,22.34987090847946,19.399451633190164,14.976652846985278,17.81317182408474,19.98680817439707,16.8269025521461,17.700073287616593,16.43979250856522,20.900842722767003,21.892925209508704,26.33534224263149,25.449689394245212,24.565155310716847,23.665499924060242,19.396561129727395,20.18399918931889,17.667695597198463,19.726129766540836,22.276154906043356,22.272746152664137,25.76821918482319,28.505619785013806,29.694025978722085,28.15381152780903,24.895410614429764,27.03847855682692,24.914648644029384,25.17130943572837,31.22581790165672,26.928222073209255,25.430608660991656,29.864389829756213,29.698340639241952,30.05278890528614,30.510797109861223,34.12278475444281,33.717708665875676,31.883277163471302,36.64791497172374,37.815725352535374,38.94860701020399,39.66704757031142,34.6675479790555,39.34949151688238,39.94312984699255,35.37589415086132,35.0377797534662,39.16786769974225,37.947267793396485,33.006420119402286,33.79328328664698,32.26074413727503,31.681399424548744,30.037025867267577,27.869542469685793,22.866044549584057,21.52342101845152,16.885565043471814,16.28436322807077,13.615298885160364,14.624095800054443,18.25029916994931,20.597138216468547,22.668219621313494,28.685518756007504,28.516106321850753,32.377787822942,32.1840195005052,33.46906741406673,33.871608396002934,34.25042557466277,34.56733113816718,35.46933522372901,31.859367427818565,29.86380094561191,28.97512716063545,31.1411712930703,27.75730517034391,31.346693909515317,27.546694724360524,29.293398279783343,26.940492854438727,27.00521706864099,23.418472531826616,23.786927655948087,20.69278918634974,25.579515477169533,25.81029040219843,30.765529024133766,29.46901889582344,32.33939230567248,31.13750734725172,32.83618925377666,35.232119348901094,33.07614423455239,37.4166607396048,37.18520418272269,35.28283648939597,34.30998032334827,30.51050846221353,26.928320580350682,23.439152656132187,20.852452308947722,17.02308342312659,15.02155970485429,14.230360115315023,13.057603237581525,12.69840000890649,13.239523409185503,10.076846210617587,11.153258092608716,10.71000283760374,13.792417693406914,17.09970764921083,20.183165205795294,25.183672763440292,26.215026061331802,30.02310295128854,32.16604508481592,33.67004907289773,37.630452196442604,35.87371110815341,35.76592154680584,31.511764859505803,27.392779671513296,28.29207759126726,23.526068501609302,19.71856537417126,19.560861809976316,17.267866788093848,19.324632443645804,17.609661292139517,18.403374904489922,20.945766273329966,20.626916274707536,19.396936705991923,21.14248156255233,23.984573152283787,23.372666393296427,27.876938531865324,27.503726333342037,32.57081507214937,33.291502943237575,31.08729558647063,30.49953645288233,26.855200031936967,29.12202422102354,26.20679931636158,28.502735470532457,25.906208021700515,24.868994473230632,22.85648728598034,26.4901604873171,27.931831065373625,25.84945835996264,30.361167611266346,31.713240489076014,31.53904690954135,27.380891820498555,28.614672099033832,25.368469398756016,28.10588734653824,29.208772837650905,29.521056628181995,31.715623457066105,28.676436134717875,34.237534393298795,32.60280310460377,35.14923204577856,32.942371116981285,32.65033682367697,36.374606032272666,38.014301099920374,34.48130450356059,34.46662086696921,31.391916893084648,35.427111217840505,32.15671566815513,36.08149283590661,36.634152265508604,35.20970783378293,36.60075765672992,36.27054053055434,38.32438801238195,40.54545987005438,37.22967728409773,40.059661742657525,39.54149287756959,38.25912140916431,42.472416223012495,40.91015484805507,37.019328721342305,39.58106630768107,42.75213080582476,38.89667616750029,36.68466836852054,41.46211951566207,43.06061444313906,37.88002812510413,39.66171254350573,42.95705160628393,40.00447688635119,37.76128231025522,42.21118863192698,41.77682334135622,46.59363308916447,46.0530544418381,45.72228044313839,49.136270629515714,53.047183394139445,56.93204151105903,57.817665476498526,57.51301442455296,55.12333963713149,56.43083416219983,52.812833893683674,56.34170294072941,56.43849212296831,50.10358092868952,51.30761158397134,54.77502839911671,51.376337971912655,48.15987816612502,50.03277952880951,51.28593614819099,47.73998286585966,44.066401812277725,43.23573975907295,43.54703500544887,47.06113723254616,47.60823933901916,48.40369609219387,51.65412303721118,47.705704841360586,44.91017158359814,48.43089130322679,47.864772956985796,42.92491992297145,43.960666293786026,46.22335529502392,44.02200351258849,42.30698197047038,47.38586016892453,47.573805019756655,43.669728105966726,46.11786982827336,50.03170659496653,49.01259368480092,50.9664558539656,48.87242601747568,52.54723561959703,52.41094903482821,46.769626378228025,49.08198189141819,51.50740428790745,48.8293489438038,46.035195521560944,51.73984813850694,51.624946159626326,46.202878641375364,46.9851813125913,52.19076360409518,50.98346871693204,46.97691059113315,42.76295418395477,46.32088873713737,42.7083816799765,44.983190765545935,39.64703590048694,39.318820272268724,35.44044235672895,34.71240913329745,35.25400730389907,37.5609281109739,36.53289004918725,38.595041514696916,33.588907149908074,34.91011649407197,30.09913316385529,32.25110384448431,34.7676511519207,37.98357492048273,36.320376402730616,32.11406038844852,35.36172214360076,36.61642400167806,30.967715498985832,31.325379057818267,35.97159824285865,35.64845850092476,34.04762184558838,33.87903403012758,34.69244413505977],[32.976784645086134,31.763841194802836,31.55093073362713,26.471922168573784,26.95571409439981,24.83699553859,22.124949516502497,23.837114325730496,19.76833199986138,16.315697461952283,15.90200161533573,20.03964922740329,18.210425582223294,13.383352067322289,15.893513932276162,18.66535827439295,16.561113720953994,17.669166900433343,17.54416867131323,21.992660930404753,23.38226478651704,28.054223837900928,27.493424750023916,27.19478017635809,26.103224973066286,21.67944306862535,22.10134934610236,19.114570409054064,20.17634660894583,21.976139364769423,21.051133831200808,24.581575378495426,26.835388291617654,28.400473956316155,27.422122972708976,24.734094428802674,26.915545889805735,25.853865890678435,26.670022055260514,32.92595652125928,29.30685700688226,27.27796185718429,31.693373246096215,32.097024039404396,32.77922814490294,33.65645685505271,37.17636111656634,36.351204661373195,34.79581157000216,39.624276002526926,40.33373713484613,41.30702934282108,41.72456153918143,36.62148347287245,40.802262181499536,41.69368076011448,37.22971714232869,36.251433196063246,40.383759420567465,39.7178947674847,34.533528382163595,34.69890244210412,32.6550939423,32.40761451116439,31.28423527352187,28.812595983555408,23.631910449720948,21.635378179222695,17.094228649808546,15.329662482111102,12.95583657649778,13.439175260092474,16.986009662379132,20.26712587380314,21.93634211370769,27.987216079999452,28.448994364017736,31.85941889971452,32.13658697600694,33.99344158283627,34.24786597604679,35.2153327428053,35.09354481093297,36.55747581777576,33.28812535605922,30.729843355701277,29.846347314653222,31.23908357561389,27.94145984105346,30.68070426909117,26.702923372178702,28.028319452942387,25.265416748721996,25.014316273883022,21.377589189156616,21.06133465528594,17.93467457537248,23.350086697194193,23.65060577142488,28.484546651923047,27.97157203825248,31.14007551412687,30.542927556732046,32.482023595798736,35.65247357762841,33.44315485803818,37.84224843080052,38.021854741011246,35.92313162895379,34.52373402179845,30.641157657115333,27.332835828822162,23.35581876036581,21.550794152763093,17.33566200280468,16.337381380404835,15.639108538509724,15.687193826149915,14.987705820036801,14.067366197754382,11.06549988450059,11.389569564992799,12.261927931758159,14.647985592344613,17.278865093505576,21.28358729042614,25.496527062680865,27.116154044377893,30.986363894124676,33.24314085264193,35.173810486138784,39.10070012554136,37.777470025043186,37.217390495513975,33.3967668308053,29.080763751072464,30.24934424464494,25.670285769780158,22.14143812236544,22.018806737278936,20.687766485007813,22.819137193776843,20.49381045188779,20.85159446630957,23.15435895385182,21.918086179244455,20.69374989474649,21.558756059506724,24.171963164991986,22.82140787639784,27.151373788944156,25.941603105983432,30.93693692437622,30.920485015471492,28.665293780424918,28.65636822077878,25.363190095929223,28.18320068140525,25.55134835582555,28.561872502565812,26.88391088513452,25.840481217985214,24.79180690367179,28.344228281485915,30.4126811941893,28.85552896671227,33.167387895500454,34.94864479106136,34.52359181138841,30.309843111782957,31.16190765136022,27.71985571170186,30.132120167133284,30.77894142268475,30.630514701678948,32.28114518313632,28.82505005435278,34.40008121056225,33.45550387763276,36.03405991268436,34.52221345774647,33.73853172686803,38.01287475447663,40.013805708753914,36.61894458143147,36.72289846362898,33.618777315125016,38.05738883931059,35.2710789667183,39.073126267680536,39.717707944796544,37.97072253628686,39.35573964107984,38.79715381375552,40.64164935501835,42.74173602131817,39.195618375008905,41.68895894513353,40.933597521313615,39.20921147028446,43.260421386791094,41.24411748802744,37.472164711083394,40.26085378233941,43.053310797073685,38.89259268484915,37.154427197325866,41.762677032049325,42.78512741367702,37.61645192067379,39.6014665860026,42.621087002154106,39.28184498294064,37.3138571074169,41.89799256010727,41.85099138783425,46.416295389617225,46.680498341120774,46.165859219561426,49.32897822247528,53.49156488699739,57.13699694820057,58.29672244331418,57.81809806331774,55.59499194423442,56.91021971547444,53.27663078567386,57.08977213137287,57.278216820915326,50.967888582079524,52.26638635768397,56.03920213975758,52.700163547190165,49.49803199088952,51.589982576303775,53.05606920528957,49.43189347113856,45.89393516561993,44.596310118687555,44.66004087520949,48.03903639338621,48.159671458020874,48.71845468353291,51.61496711723784,47.58336701699,45.06539667344096,48.24573127672394,47.32455083459592,42.48695273192747,43.654095015510784,45.46946636720638,43.03856292665299,41.60785986678048,46.69304033758886,46.50543953578747,42.50708577016301,45.35290237343298,49.28109191858035,48.60412461455503,50.66486699701454,48.745088045409446,52.64429954972284,52.44344098540438,46.92350928375416,49.508279681834736,52.047676783051266,49.35379495454214,46.85919751750582,52.71079140095416,52.62957259590598,47.28591762410425,48.33731980321094,53.585813081301424,52.3989165305377,48.433920944912735,44.084303591261595,47.91090481291196,44.20654038980179,46.019023270994474,40.572139504798685,40.00799084999514,35.76213771357094,35.494022982798604,36.34840421007002,39.0232698806062,38.08567744883722,39.79003099782368,34.6064737390946,35.959241785404345,30.938356648617876,32.45544050522901,34.645167186544924,37.59819589554692,35.57425088602601,31.61686390430329,34.72845655941965,35.46062366806627,29.805207508913767,30.34871827074083,34.73788595744174,33.90784491943899,32.009987090845414,31.606416586923057,32.32865249004138],[30.232330965904893,29.359583578516858,29.773930901200803,24.611653428717517,26.11242075009529,23.64161052405648,21.61374704666173,23.70116749467674,19.444448561395234,16.91136821755624,16.746998134519526,20.865666227134817,19.930453005400434,15.079739583312177,18.264401449123557,21.220259591261446,19.481108119448262,21.307496403283995,21.69584502441405,26.005001050189904,27.662084762285357,32.31131168043223,31.84194022045205,31.43515972636197,30.200256891349753,25.74541180068149,25.845667423421496,22.572091524828632,23.550179246144626,24.86762793120365,24.277114707993107,27.228470453907256,29.497667432683347,31.583951750864518,30.646252570405085,28.23628219770127,29.979125179095398,29.366397476418456,30.069994221208784,36.39926746825401,32.922184340371565,31.212823413704626,35.68948731504956,35.999808048072666,36.80923607075363,37.505786118922494,41.11835750084044,40.299077666874375,38.44980083085809,43.233012812477554,44.09585888157137,44.897902969376275,45.45653545592272,40.28677551943992,44.555274672642526,45.67895362044286,41.25959367745103,40.22222133397015,44.47560936417547,43.932924233713464,38.78214435473945,38.987017568879175,36.82964258385962,36.79034697917903,35.65989372821698,33.0263438783336,27.979237160469456,25.747931295350472,21.37752330590672,19.231686164753906,17.127188803192926,17.521693953404203,20.939900796362025,24.524526681773036,25.903463977317706,31.99402053086628,32.51109513830656,35.72931243714784,36.007880620665986,37.93715741213482,37.8586738464696,38.75707319878439,38.20647985380596,39.641273690270175,36.403923392446885,33.9327859220242,33.47355983120078,34.60901678076507,31.714721854292563,34.242377614898054,30.365009829352122,31.693213058261964,28.643411848992617,27.980359671940104,24.098128101128424,23.429486907257473,19.98554547629821,25.413075868342176,25.225165710770717,29.51475510675287,29.876785388316456,32.52351468561179,32.628055112643715,34.00705712967215,37.4540114893696,34.73467313622469,38.95028180683439,38.97417292786154,36.40581232030693,35.15483303798042,30.92709851331959,28.23536569404503,23.954749753847793,22.677247930668536,18.991277297474642,18.235429884173765,18.48596970084826,18.583726471499414,18.901166289961733,17.7575524511199,14.506656428773967,13.92629185382949,14.02035342285618,15.686172625399422,17.557869707688745,21.90139716709933,25.437924180708496,27.667406310288435,31.534437383991364,34.36416959431018,35.91919114360481,40.07008518621888,39.1156633336383,38.78374676356368,34.82731608240495,30.38533909750517,30.904089165305887,26.709372666985317,23.309934523227877,23.907801817019052,22.907047293477717,25.757933167704888,23.697629471860836,23.637483352421143,26.27968054430325,24.8885828866078,23.214202217766243,23.681614731487816,25.792848287805135,23.824044893550735,27.798018609779483,26.208266419556892,31.28523017464282,30.635636150801858,28.956170604065488,29.48331087034954,26.526559527353616,29.332409365758476,27.355713443791036,30.10735981177455,28.824859456287605,28.48836775823864,27.293687434492135,31.206428352130544,32.963310473037055,31.007552093470764,35.18191861635699,36.847797542062025,35.941469710886985,31.762965999519007,32.66259775734439,29.46345965483964,32.300045003588856,33.099561093308985,33.130595950420584,34.597550676110295,31.304983832195976,36.95773646868139,36.23978210185217,38.57146221578685,37.062878164975885,35.677468295602885,40.10548312167966,42.23070036661455,38.89845249498885,39.56809912697602,36.76847471121298,41.20040613608583,38.440611598070525,41.984503665900235,42.312892375635,40.417826214157245,41.35777131828978,40.4693691883357,42.0772817495594,43.825822525680266,39.93902729153377,42.22319258403111,40.99980456957071,39.33621284499291,43.033722288531315,40.981798374658084,37.174180762819724,39.602319249897896,42.26391252653395,37.952631225831475,35.972728164843595,40.47531142842915,41.45058552270093,35.98488102475344,37.77088675258062,40.69490620284806,37.270900219500646,35.04534083406513,39.531921635701444,39.71613660631045,44.25003451137318,44.80400607397771,44.52180514836476,47.60311674069411,52.027734263263085,55.46496860610387,56.98110521052329,56.736098970565635,54.788222987751375,56.37507103005691,52.99131447321272,56.957487084746425,56.855380544722856,50.573753307565546,52.24479275962505,55.97821314653396,52.430516001206605,49.4597455334931,51.88140801840885,53.02190278555281,49.19638103143766,46.20038898264544,44.47924342685945,45.01725263884352,48.296096245133704,48.0581058973727,48.84061471685495,51.517854378078376,47.71957976363176,45.03908707552972,47.78274058423121,46.97420421521102,42.15718242702922,42.927987205764836,44.5300147073656,41.99846440737335,40.36957034834411,45.37694294228568,45.019401023474245,40.77758536849702,43.58546802338151,47.56610556667199,47.02434625772304,49.40002026627095,47.82207399613351,51.78538420436773,51.176144393001195,45.718521921960466,48.70054372449789,50.98619405492709,48.108552159715266,45.99977783045866,51.92985040982609,51.474472236656936,46.1718695690229,47.6691157991984,52.77621717318669,51.27746251523276,47.311730090154285,42.77742222229728,46.51216495904461,42.57677523345111,44.152762021157585,38.67063701084009,38.356027489063806,33.9450683492341,33.57274502950583,34.82943416839171,37.67300275573097,37.140209609097724,38.94496135705553,33.96938377225786,35.81133859151644,30.785381100120535,31.714925426100304,34.317882775948355,37.00937351274376,35.19345751054918,30.999437337310273,33.546711889036686,34.29323829825551,28.906336480287266,28.742678194375813,32.95935354704618,32.229819136524114,30.28292886795346,30.067498253617117,31.01550659938412],[26.520763249773573,25.826931877918458,26.4650424299931,21.584093628162137,23.452693342390024,20.272818729855903,18.55837070761102,20.53584914643787,16.135252452873328,14.36651003939669,14.281991415429486,18.21865991386958,18.10338956545031,13.492539330326466,17.12336366951584,20.109746853544607,18.927094515533227,21.525757341062498,22.88677420899681,26.817831587794423,29.057038312790272,33.65537188437907,33.61820710158881,33.39576477129299,31.681129484366657,27.172891180629666,26.612343515537024,22.923116205154564,23.44425701197414,24.053094806583577,23.881219960551984,26.043292140809783,28.363875922472715,31.034604868782637,30.06483715890829,28.063010768947166,29.241228011481585,29.378046652121547,30.14215975674514,36.514517584795875,33.61744720038755,32.06986676597898,36.55039427316104,37.031446726625106,38.28197711946346,39.06718143753583,42.71048623188748,41.521672259210845,39.50848314061671,44.24316051804509,44.925675509111144,45.40394657189103,45.944178131162964,40.69170572687961,44.80803526220806,46.37762906474625,42.119993972859255,40.75677651410656,45.174977955454054,45.061971187572944,39.94101318435112,40.10921120306555,37.69430505354808,38.246932161579906,37.1017733811784,34.037260440916135,29.393740097665614,26.632448816446797,22.765213870557663,20.030482161221997,18.523664341787523,19.377586838978022,22.154707193954028,26.099885992101143,26.694358746506975,32.89066412161449,33.224746475647834,36.123310881490646,36.29295800666703,38.326923371228716,37.72642742648216,38.64631334463604,37.505022345109225,39.06009407383122,36.03618352854983,33.48767770080319,33.52391595448414,34.17339807356712,31.88548175595188,34.102972615766966,30.487830680257,32.049032054019726,28.65220863266053,27.430388439819385,23.24492917739342,22.47419394429434,18.67557399324666,23.789323807899926,23.092937598491982,26.853895909636734,27.905013532987986,30.08652252432089,30.83000742868815,31.80628357939488,35.628622640200696,32.612930770333854,36.68867418509541,36.82284694293938,33.988891989090234,32.61803492419874,28.27773908218355,26.063574542854944,21.544573524524395,20.967821901102717,17.620339444800543,17.559048582118194,18.488536148761465,19.277154423982072,20.373772787800988,18.407095624509786,15.210741832064974,13.644749154028894,13.846398336676915,14.528110304184308,15.475759852514996,20.23256611433296,22.896905687714945,25.61679745387424,29.415629874804953,32.49503475127352,34.11429944932256,38.26263100412357,37.75484928381577,37.26746121452986,33.57297984013433,29.051519460382067,29.49747777107612,25.69779124876316,22.698737187080255,23.592610668033284,23.556559144601096,26.82198717281868,24.55188400416914,23.87141986380704,26.548370047989557,24.61524511474212,22.646056290892474,22.42898908098344,24.024031407135837,21.467766148920433,25.062567996545177,23.088773558558096,28.123397013533904,27.087487601671597,25.770954144238843,26.64262331237288,24.00571105095544,26.823772707570225,25.429730321299058,28.12170126280672,27.50175095986616,27.692270132279745,26.884902671384616,30.920264885725015,32.775279662229856,31.00916462955239,34.861495235917936,36.8055674251337,35.496414857549595,31.372915174549814,31.955231002188427,28.804184229220677,31.588777007713134,32.21406102760407,32.16019934781395,33.24597317630879,30.026230581337412,35.650446991005396,35.34844500322415,37.44696828164683,36.26611687462946,34.248597379862446,38.979881063105005,41.36115072380273,38.200196091216014,39.34026426777806,36.827332126807,41.44230395339211,39.113478809820236,42.290824186552584,42.46034078790395,40.23232710257118,40.891071395773345,39.67733135614476,41.000875900433485,42.495687997820475,38.37815701027551,40.33089936070535,38.83516113632092,36.926287186482675,40.38504124211273,38.091419946231525,34.387047532429825,36.843206646567566,39.22463371226785,34.764670850197135,33.07139831545565,37.400928744940416,38.03112294870371,32.60637338042765,34.49945351059922,37.23258785837473,33.62938629899364,31.603759615173985,36.150439196664436,36.55144964762561,40.88162828856189,41.95127460855873,41.50640662679118,44.39919288343961,48.9463511727396,52.21627085215377,53.89158663177419,53.558288450840244,51.74763625240839,53.37627810364458,50.06097858290309,54.197147224176916,54.08401396496359,47.86526717013212,49.665204276802854,53.55385669176018,50.03087139470929,47.13929142331468,49.76747872161729,50.97996417347934,47.09901351357318,44.336202508473946,42.20858563870761,42.70536136385128,45.840993107554105,45.260172404810874,45.988369344319224,48.414174260682465,44.692117740689916,42.09316789794346,44.52768436114579,43.61795277887522,38.881204773828706,39.586604654387614,40.94254472504477,38.31938909456742,36.771208885007646,41.73752304861006,41.21136042697527,36.92781675072044,39.88257860639533,43.85192343788438,43.48038756452016,45.92125912024105,44.487562470956725,48.550307957165785,47.859298230361055,42.51150689105731,45.67466551403843,47.98409186789394,45.10810520610426,43.23895385258903,49.22456618715521,48.78310809142001,43.58474056594775,45.283494049065446,50.371039363389464,48.90727648233581,45.015163447175,40.43657861809076,44.38385352190097,40.465015284309025,41.64640441148871,36.148587219813464,35.593693123259726,30.988335111839362,31.017724945560495,32.446003701202144,35.54425126905014,35.06055532967656,36.538655790798785,31.5339045961464,33.448110367160204,28.386507240189005,28.773783990040364,31.265517978883555,33.7241468048094,31.852574122701725,27.73813792886921,30.051573255246858,30.58079114795711,25.32619726753972,25.085571741334846,29.129363413248537,28.251343260066495,26.24192734917798,26.049441562432058,27.08303711809609],[25.221165993805634,24.536581318006547,25.498955594850475,20.26238117614114,22.862035613958415,20.420853407249552,19.360240311849804,22.127510219776422,18.198239980131802,16.893403325590498,17.580065878657052,21.534530980183728,21.148277087035066,16.760083219972703,20.913702141545645,23.670810285058874,21.985328551692668,24.776981630699975,25.69569348752253,29.656533689608178,31.766323434177476,36.26087128811828,36.03016388016243,35.38355894080312,33.756991750535555,29.322847601613294,28.837154765528616,25.264468989162506,26.350229558479814,27.19126212800695,27.689181403773436,29.62576188326997,32.25439632973027,34.9525530692209,33.678939312741775,31.444445197851763,32.40030232212438,32.10761565490654,32.45420083490474,38.74924964023859,35.481135464788174,34.456583865350396,38.99390465321792,39.04921508878805,40.13783046721214,40.52172273311144,44.27833320740276,43.40006247571464,41.01744071491994,45.659326604176876,46.77619851973921,47.26347762956308,48.10276582752411,42.878740249830884,47.395225300387466,48.89661928208767,44.58170462496406,43.603392781520434,48.09413519425039,47.672285295835245,42.70148665450546,43.25742604012405,41.086553165323906,41.47865330749386,40.04192104692383,37.09959628319621,32.51345061942166,30.02362531119033,26.018784166400614,23.711695091152635,21.97792570613531,22.904117272251032,25.95193229960728,29.61096954609791,30.452726791632767,36.71675553282802,36.79147018431428,39.905003485718765,39.83046504531481,41.57725726063941,40.90986976048275,41.417395416657946,40.30350671752467,41.45992288020813,38.221988890168774,36.106414408070165,36.38182890805545,37.38509246210208,35.216187014614505,37.85174857435655,34.32061383058172,36.08053173998669,32.771257029013384,31.58456096187729,27.305406614747216,26.738123649099762,22.832749642443595,27.702597833704104,26.7156323219129,30.212067161114792,31.285997253453335,32.906788190133895,33.71124956265488,34.10751699329512,37.561616878611304,34.17467707201129,38.035208860106835,37.70399904510898,34.59680787476761,33.71660734775869,29.138031222507806,27.278235310569606,22.906665458747476,22.17041149123113,19.541766768375158,18.950040948604016,20.471115607178834,20.55865890668381,22.4206134331593,21.129904177785384,17.657590256993977,16.087410374896276,14.981067671716346,15.56647696888995,16.367760539421944,20.653227204520018,23.28730992381591,26.104233736668746,29.834768810781124,33.35160404555164,34.27164859406957,38.65085121750062,38.14549621686083,38.217110299864586,34.07836116301153,29.61138728081314,29.215663286400808,25.671195861328258,22.615297298370773,24.14708232822449,23.74762194888133,27.50671645063619,25.849981494558087,25.15653620560176,28.219534449222884,26.78191071841628,24.506254752711595,24.617198276030322,26.008604416895814,23.544097697208173,26.96660710505941,25.36940760067384,30.481025206531495,29.513469420532438,28.71460685575018,29.54542947892147,26.905777958397124,29.28844156267283,28.16141515307274,30.1359789093153,29.147250216661128,29.864828250975165,28.286445051965767,32.636372384231024,33.806098114377384,31.335175904962824,35.18774823428449,36.68920638457894,35.12669763897283,31.107744777564527,32.0235911438838,29.262808998985474,32.640942345622854,33.72014727292278,34.13271449499714,35.46978709922366,32.65475783843385,38.329134709932056,37.70378446554873,39.60287695128107,37.93031191954686,35.79786002649904,40.234511856559976,42.44242678116438,39.239922421229444,40.740419382259695,38.48298483726688,42.80009756657526,40.13877320619368,43.19267126852179,43.0351843755232,40.93925346581588,41.21390552772499,39.8830804370289,41.14663884519547,42.400236961003,38.150755274715145,40.16436617887555,38.39621325008239,36.92337498185261,40.15605238916886,38.21567524607639,34.37866401651799,36.256708976938825,38.82989193861148,34.481135325557965,32.09450826287894,36.464100594448574,37.56253439937855,31.793154374420574,33.27018050140447,36.15811421972811,32.81347715007555,30.21668377745378,34.53310826735205,34.842443834208986,39.38951200692009,40.054643996134665,40.045319076268065,43.0801420468983,47.70205824858047,50.96710390682931,52.78424009105698,52.84954014656614,51.18415556896902,53.08597235154585,50.03882141005388,54.08719718202866,53.602614773703074,47.393981650011916,49.492127297598834,53.08243834113321,49.295782113623005,46.631354633701704,49.408897380138804,50.110622352179874,46.08708161158023,43.77282840671693,41.60453466696592,42.78739494122514,45.93224332070004,45.35266427239487,46.49686859308891,49.00016551430268,45.576709770073705,42.59513936568491,44.88049458781461,44.38174342404489,39.59157656398991,39.78592771591897,41.307123722650594,38.78802056456152,36.787116350106515,41.65642998333357,41.28318078646645,36.831789305638914,39.381139177937854,43.39282673170097,42.863123260695396,45.547969178456505,44.323111118177415,48.255766977227815,47.19024308706276,41.80145588167391,45.149339009367615,47.090728737198404,44.02725726761944,42.31196596527226,48.25681496613132,47.378896451335876,42.150346719114985,44.104277473370495,49.0054961541779,47.17949583842923,43.24175451242428,38.56196914863555,42.17480389765351,38.050346749668286,39.38272694908127,33.917524068985415,33.87864630172501,29.40200474071672,28.865250935097425,30.498899140523314,33.47407686016994,33.37907977742598,35.293382923552734,30.672232313915256,33.08412863077767,28.205553505522975,28.52453739184737,31.729433770621572,34.14485857535247,32.79926833098255,28.247410753771018,30.081753817654608,31.099376978248337,26.160410482750066,24.98348965005253,29.064801104766588,28.77598082578962,27.01768324936258,27.241286214102683,28.562656186170006],[23.12088751698859,22.994718905745653,24.50808531483636,19.910027588323242,23.025639442412576,19.30290889722604,18.66483286999066,20.828488692639556,16.57808665328858,16.28468585687675,16.461145440832937,19.86331208688825,20.80220380015179,16.73060068845576,20.57123422116139,23.49137956252408,22.76422888227941,25.86220822869999,27.66905421884433,31.379532543403258,33.874558368270975,38.40882570674178,38.52487441911269,38.270568312564635,36.37418490620024,31.88327742401351,30.994471160016445,27.127402217311054,27.479778804691268,27.560618450322046,27.73055731681664,29.189583626323675,31.452126217538833,34.607375437508956,33.685304148298876,32.0376376677491,32.72311270094718,33.375139394649885,34.058516766764235,40.382070143265906,37.77804258947618,36.51391510999571,40.98688415055495,41.4385275441789,42.87344783230283,43.54823146802662,47.24027613652138,45.9703906931055,43.72357756587448,48.36553147553367,49.10938776466362,49.36886171790678,50.00259131285739,44.72738441612266,48.829348061616514,50.68667214794738,46.534566956966316,45.05350250036089,49.57055766025624,49.66035658229928,44.602118892687066,44.786791331839076,42.24632638040004,43.07868775016775,41.933525017279536,38.684188103534545,34.25424382402728,31.273466277752174,27.652911168129513,24.66582824828688,23.423206460623646,24.268964776577494,26.830968438022218,30.960462232171256,31.22001777990093,37.37760055194476,37.706424174446475,40.35675695218105,40.49981582899952,42.591882353040965,41.614793873497774,42.47524819487464,40.85363078779507,42.39271229096058,39.5081653738537,37.05481978757909,37.535658019780584,37.854485112566095,36.05724245534295,38.00511581646328,34.59119795429511,36.18009126729142,32.56204778695528,30.93443766145794,26.645875902058865,25.619672526677405,21.721562319810346,26.445441570036348,25.221410749730413,28.115613703449817,30.140551198418706,31.623898004207504,33.17138938482094,33.49648712338783,37.581702682024236,34.09674369913925,37.83964087691245,37.867223025369576,34.56791874450274,33.335118415048186,28.776166457240247,27.430781801583873,22.804047761067814,22.990993294554965,20.44185929161511,20.75462211214647,22.418181465331646,23.332564051274627,25.11416966275593,22.960700393368175,19.782734302502348,17.69852450325202,17.42068990119072,17.257955938693716,17.12897446528,21.877818698737347,23.371173747535348,26.724163540387167,30.32614101700267,33.917714600140876,35.16806660610897,39.41334780775997,39.406748811701945,39.07869764564956,35.4493796347204,30.940174286070942,30.767259815712006,27.605945568214292,24.999335920537067,26.504917206234794,26.964810624712346,30.724097618558844,28.646651651809716,27.56727522540832,30.404679702079928,28.294561613709075,26.0095354385477,25.319127649194296,26.26485325355817,23.12423307935873,26.02877794626781,23.63909357819374,28.48018446585547,26.668372632695352,26.16704641261263,27.658269382518732,25.589786560755975,28.25792072621048,27.704190049324342,30.037203550066078,29.991432412390505,30.890563493340732,30.104370013345523,34.328318307082164,35.924161771309755,33.94445389283244,37.49436809334662,39.384866038768614,37.57614466577218,33.613858365555195,34.117453359180075,31.28614515109781,34.31339015087525,34.993336817958145,35.0601301854654,35.851413937527084,32.87870860995944,38.40912308703842,38.422734710603706,40.20745000491057,39.15474086361145,36.487074498742054,41.33687460777543,43.860148829933,40.863588940078934,42.58185026606546,40.43028708783006,45.02461723756813,42.862256837429676,45.696027477860646,45.5661348660766,43.15372472266561,43.34568310570603,41.769431382097125,42.76691296450949,43.831552082699254,39.408053569805105,41.00049245725173,38.98585333288176,37.08490313168417,40.01810727718178,37.63808038013493,34.03486566598738,36.069494614242785,38.14075552171615,33.55529828598316,31.777433214105464,35.80928364156464,36.21576696215788,30.596225554678668,32.27276401482338,34.7508093668899,31.023740194718606,28.84063147788964,33.219279871785545,33.989955816821265,38.12005475670608,39.74270122568283,39.481838627840034,42.15718626309218,46.986549518700414,49.927855648022835,52.029656345410764,51.90473738008447,50.4535552634322,52.35684880115995,49.36026022774435,53.66769069078476,53.26300971445526,47.17772145911712,49.37270934691583,53.23549210953592,49.56202370666311,46.970760636453036,49.96102322849847,50.8705033756855,46.82722525289271,44.724779360668016,42.067550864151734,42.9986022856801,45.92659279181284,44.86724541979658,45.78240142746703,47.852785257840985,44.4512417619569,41.77022523804242,43.591423011063085,42.76857267756288,38.17715134840884,38.42804178157619,39.422512405648575,36.69731241853493,35.00175701210296,39.77539198515733,38.99196526834307,34.48404190275895,37.42016481248843,41.388810147294116,41.250873360023654,44.029182994423735,43.04153605976018,47.15819132326719,46.01293618175405,40.85530737413915,44.465415467027725,46.49093180854574,43.462679386069624,42.12936925849831,48.130382607580025,47.31759731479451,42.28092666494064,44.494399262644365,49.35913289275923,47.61194533378726,43.80527714723326,39.093098406548755,42.971092339732984,38.88111033496523,39.611718515801925,34.17047804945055,33.78862849868829,29.017961255134182,29.126659505485428,31.043193788854193,34.357006953315484,34.32982274101024,35.73212346361109,31.071512168945272,33.45080714233538,28.547619232955494,28.078227646862274,30.864630468668125,32.87174189498683,31.25046007244997,27.06798829676255,28.565009678339536,28.98708864440679,24.29877913773753,23.202989014155563,26.8082922706016,25.996667612438408,23.964194054353676,24.01543352429129,25.3205775747146],[20.32111333692915,20.08433857190535,21.934278377202162,16.986950502729105,21.02867581238143,18.464812707114714,18.744828890703335,21.9077400760387,18.56353319099807,18.760629922975436,19.993726520206998,23.410941920533404,23.781134756017195,20.10335861871178,24.64076546970754,27.175204376094324,25.791189681456228,29.239556557182027,30.679182097876,34.281080922879134,36.764803358785464,41.10795638118306,41.12531053154873,40.384880726596435,38.4331771918809,34.06744255427835,33.080089510129426,29.315465355588454,30.300598715778797,30.59689071955225,31.83183686702837,32.85246266552592,35.62651529238521,38.85338918957821,37.41397467472324,35.47770316826968,35.74272782833426,35.90878787322306,36.034880436090894,42.19592164444924,39.288760842331676,38.77123966121991,43.28395179668258,43.21638677379074,44.584142930804994,44.771383451964645,48.5914003405561,47.59613159222967,44.83146434290325,49.298150582115674,50.541839906967105,50.70925235447663,51.737023096154154,46.514683835740826,51.10292815078579,52.980723988171995,48.82094815844412,47.794872300213264,52.44678484315993,52.23034012944761,47.42019938235175,48.166681947475865,45.92265613989519,46.72512000037876,45.129488666789584,41.91683196912404,37.7339836715121,34.98891364930607,31.349204032118553,28.83420771141864,27.44322879739379,28.647415568046146,31.36432296958064,35.14205861167345,35.503212230535226,41.819021950942634,41.62567598331523,44.53831856541523,44.24068564222862,45.901829479015554,44.70597071418506,44.96257869220883,43.28406291928923,44.26663919013305,41.1556841935193,39.30503879664472,40.2180120115037,40.95625147355093,39.4666927916182,42.007304033826166,38.8037183995296,40.82686402848714,37.295578955408274,35.64800866134392,31.16011547172743,30.58246881842746,26.466714747658244,30.72325817209855,29.071763221280644,31.625541975671357,33.49960324228249,34.13024854779766,35.70819857678775,35.18233772318968,38.698373188184824,34.73517904446896,38.11961555201096,37.52040028662578,33.88978458147139,33.34007183589285,28.55086332818038,27.73921161463144,23.44536200562767,23.48279168978274,21.987317225879078,21.76362894785423,24.204426111101903,24.44590420958259,27.296696020296324,25.776933812540744,22.35128144313798,20.136162999316195,18.451609708994468,17.966625083243468,17.49993551982292,21.43955501855291,22.688813867888,26.108379619939186,29.511107312417998,33.63262264354437,33.95288955802178,38.42876147396092,38.50021829203304,38.87958197716774,34.77914224491895,30.42214290619735,29.166861768789353,26.52348437819033,24.065657891591947,26.361638718982686,26.6779544744943,31.032886135001508,29.662963612952147,28.41664393054194,31.666892052499406,30.09878467642903,27.420461949793722,27.059816105476347,27.66222155124831,24.717978039369427,27.321793980328202,25.61769465952843,30.48469559785433,29.038765858070715,29.21248620503098,30.44612788586793,28.328159778950976,30.288159760334374,30.100200952412013,31.37844887597337,30.90136437965217,32.55782309581936,30.871402914552014,35.44043658707275,36.160264795308464,33.40048233282024,36.78377940698733,38.176808880810384,35.96955572747056,32.23804852611169,33.05067103543332,30.786332522729428,34.479705556041544,35.69696668661009,36.365185913355546,37.436968886650746,35.076980821664804,40.61417738715507,40.219772833850115,41.67544811629965,40.02174353251322,37.135614004660745,41.573257567213275,43.88653214821743,40.90977099009554,43.18310426511278,41.4623418754665,45.66784082509625,43.238700748166536,45.76940456232591,45.18053208429572,42.869256970555085,42.49943739258795,40.71527887749264,41.55694711877998,42.247267942807724,37.67030235921838,39.26090169691051,36.883970704698555,35.55345235777672,38.137525081941405,36.25505388349764,32.52718077667358,33.76867374535509,36.071018705620496,31.705514055084056,29.028875965580184,33.06643234674995,34.126961129000435,28.122655049077462,29.225349653973673,31.921777418417307,28.630277066320904,25.686998368144277,29.733281149912827,30.324325218334387,34.739289861393544,35.7772391979683,36.048220867836974,38.90792243514429,43.77910781544674,46.738765697129345,48.96495358063063,49.34346148753574,48.065172435051096,50.30311048301937,47.67050960069669,51.8268829541059,50.94588811401329,44.913744406348904,47.47914748389976,50.936492382672704,46.95445039541857,44.67789583138227,47.8547629746061,48.11749143540974,43.9213850943035,42.43722336702496,39.703616917346714,41.51029519626335,44.4115561574122,43.35960909720829,44.82665021939354,47.00894170373146,44.03738790889101,40.850993513717874,42.48840304852099,42.26032077972941,37.62772989553527,37.18575642336971,38.46215933435814,35.949277084580906,33.62314969605744,38.22956415760535,37.740988383020905,33.089073642009154,35.38125596125306,39.37550631548473,38.963168847440976,42.0096947263433,41.26571914150929,45.162362937122545,43.5616539974249,38.36885739577463,42.165262487349835,43.707756434433286,40.465970804794665,39.32539000985089,45.230497653334496,43.886699132833634,38.84710692475037,41.36963118887577,45.97032759779673,43.80039102345203,39.96941134043676,35.16671784627777,38.64738761304555,34.347979801259186,35.21610345263675,29.844271456914374,30.079783238073315,25.5272418390728,24.942149050803366,27.10899197098497,30.268611778408463,30.731574703363144,32.61345716892484,28.5185020401411,31.510282654911933,26.951868678532538,26.364705912296778,30.062014262025095,32.00103705830554,31.156682419347018,26.436483157885394,27.28159413704965,28.449822675787956,24.28128193776648,21.923834478381632,25.57303967296286,25.71743719584404,24.182821129607852,24.88232107831608,26.566437123857842],[15.034307613811144,15.42416218788404,18.151473869658165,14.166909143232724,19.21870989148067,15.912418540085755,17.403039074459024,20.356775245583854,17.64928449141231,19.314805203211755,20.749052118235603,23.369970584429065,24.650176281236458,21.83381374441632,26.363373701852517,28.637933752213616,27.835775455875776,31.808726594955168,33.99947348262361,37.139460384883286,40.0849743463648,44.27738771825632,44.696993185475364,44.11795247467773,41.74980567567318,37.448683326432736,35.876643344663414,31.89573405388587,32.452688352827344,32.029817242133696,33.758968997330825,33.82889187919903,36.58183606275279,40.320360326106574,38.84230437837543,37.38268533620316,36.97869117767159,37.88664869343146,38.00842908553562,43.99134820934709,41.76172190479905,41.48798860115371,45.8974106532704,45.96420898612054,47.75094026259109,47.99399849405793,51.791932844488926,50.445408179608094,47.520524318057795,51.82825494773478,52.89821220660135,52.692135361274374,53.72307304409869,48.51939576268065,52.89591452892111,55.23906217103217,51.32438070331244,50.011413082535945,54.77101736212899,54.989551577500706,50.303567337353286,51.0444504169045,48.60270324860876,49.97248893824473,48.35622244239608,44.78574459620258,41.08297148953525,37.94767829064685,34.839296435473095,31.969605044549393,31.076469196782085,32.58505951386609,34.757632246467935,38.71746389813691,38.402176174628806,44.67000331200494,44.26476874881183,46.81400067858053,46.369901120741176,48.06016120855089,46.30716655119502,46.50922146796689,44.1883094741485,45.20369735893922,42.411573313740355,40.61915377426894,42.1014015411964,42.33467491382395,41.57593241443678,43.778097956664645,40.964295048468145,43.19674489339143,39.442668780554826,37.298144702587265,32.71330386145101,32.11600395135356,27.930998679136774,31.424118494569576,29.19780906790972,30.730575089755785,33.419600155668725,33.18134869618591,35.5724765461693,34.330097957142144,38.09062784676777,33.769949764525535,36.69204776058765,36.12991295344811,32.13536626765183,31.61586505944932,26.84429355710542,27.052591720956663,22.8878433440644,23.923378512379124,23.29419282167428,23.767443976700598,26.75416224554318,27.546652818041238,30.94205481229368,28.864454282874444,25.69230478090853,22.908191436917996,21.356398983344878,19.904315341844214,18.22621062638835,21.913376314084907,21.505963829792265,25.467218811506232,28.45064392843701,32.871384587294244,33.03354407099488,37.37298530631885,38.122131990205965,38.41757818522039,34.76376484379417,30.566562987067115,29.025317545921457,27.261257915633813,25.566088872998854,28.1602041719197,29.486883221934715,34.075921756424115,32.610074715891024,30.80122897942588,33.956804504399344,31.96954179673868,29.093484322185322,28.033909639644225,27.853351747572386,24.40458964511798,26.062422305759565,24.074565207924735,28.463813120021722,26.49675416710936,27.541540024548368,29.19080633469407,27.73047933629599,29.36820875403531,30.116188832623266,30.980359446564016,31.338861501673538,33.68505662991354,32.40262316389058,36.93394105044236,37.61530291191437,35.094605301328365,37.91115394227726,39.52466949010248,36.82224166963261,33.37765444024622,33.78715884175787,31.812875317329368,35.36125964801011,36.39494119363348,37.03036373641309,37.619974248752705,35.57753266027916,40.83220789308712,40.90451087888275,41.960356952447,40.68066225042848,37.046574548471,41.638459564838016,44.178193912056905,41.52466171852472,44.395138837306774,43.12180915054798,47.37645567677231,45.47112822646104,47.48250445702735,46.66077946647831,44.018253101898374,43.21448438178465,41.02027136330338,41.41111452075382,41.636633007909225,36.83624304564823,37.85100329379059,35.009125410419784,33.479940010606605,35.442137376127036,33.34001380144061,29.903225938918624,30.861893091025635,32.62841777674249,28.17544647379124,25.825065877140077,29.359779932661137,29.919914584588078,23.974068108802186,25.01235703885228,27.296834343236505,23.818927462587045,21.02215442024591,24.97304760271672,26.022406286860924,30.02954643889052,31.959844381517343,32.108408422117606,34.596983534332885,39.68489434929512,42.28313506694588,44.85197074828745,45.2296047347957,44.28225755690064,46.67152936281643,44.31186311134288,48.65511362355468,47.63135793440242,41.82675923229871,44.67651982682909,48.22252031964026,44.26670847075678,42.26150692289306,45.76223220147269,45.96803638321043,41.72774412266429,40.83314240459535,37.47878093534177,39.414090166210656,41.99202953807442,40.37671134379214,41.87869327004776,43.60357376912593,40.959169411605515,37.84733923919018,38.81448807474363,38.59336154120702,34.22159337895703,33.414655582519316,34.256123975117674,31.682818831176338,29.33062734910581,33.68440865241542,32.93946967342167,28.18567472873857,30.508588321148444,34.44716483104776,34.31166658835323,37.57151757796666,37.22658195939695,41.17996131622081,39.275570885510994,34.372875278444596,38.53081000895817,39.92525395826828,36.65917985159741,36.08029531781854,41.94420496042596,40.47134354621175,35.7216371606049,38.66683678404407,43.05888620773412,40.853820487461235,37.225898530507514,32.425235145829895,36.077829735614976,31.847421208100467,31.955711004017047,26.72286952988796,26.708749421174854,21.96661115662964,22.003404125448423,24.57299807824465,28.05025630517076,28.771477794799694,30.128629176372783,26.370686337707365,29.563621297575864,25.322560305692274,23.66576932848446,27.303429642478772,28.655133447425328,28.03725056545305,23.525569922654373,23.48411514591188,24.4324973429671,21.07760297709806,17.972034418105103,20.972212973088876,21.221275459319983,19.840403376644925,20.887839962695722,22.84564946101872],[16.750366773369322,17.937492547119636,21.03964565244274,17.89858574516911,22.705924700634753,18.173479012751777,19.512653404309695,21.496795127068825,18.245753265177537,20.27900495534518,20.850225336955756,22.991469225551867,25.35502119922757,22.528557540121437,26.40351334824015,28.946109309608765,28.939632083560713,32.74968189531355,35.37225198077534,38.5410907611571,41.556906268543315,45.8922807746492,46.42202039899462,46.221438512787245,43.874171317704814,39.47474191470567,37.90802542096715,33.801365110909686,33.765507382410604,32.931948712520054,33.82134500498712,33.941840564856854,36.13090598271941,40.026332400220035,39.08381214418217,38.0787831757636,37.82783739836334,39.40055541624646,39.969427022265705,46.04947307761404,44.18583116100434,43.38956748247616,47.75773985357017,48.24582115276403,50.1326802517336,50.721038148535875,54.4346015962565,52.85920122550558,50.273664540473256,54.69144206474672,55.38190630977507,55.16807869008064,55.90503632924028,50.657110790288414,54.59443641702959,57.039378859277264,53.17805880887476,51.422268963075936,56.09163091877635,56.659024647780804,51.783643167224945,52.02414853807113,49.267483511393685,50.75609766644266,49.554887002393095,45.90321371751212,42.048845487809174,38.65068676526134,35.63649417396916,32.29292632966545,31.598058127698366,32.72490739518027,34.71222701398321,39.030721850472545,38.53003601991291,44.58808191546894,44.69029473055532,46.867013305596736,46.83512239316499,48.94667310735792,47.22579512685783,47.948550789163974,45.45002466724147,46.95300305724291,44.44479186025341,42.17675417914452,43.4695578654126,43.16361844167366,42.35992498423123,43.861883099651784,40.96630450268946,42.76762295612953,38.85517191486424,36.546298548710546,32.175376675938296,31.016547518107487,27.09945425271563,30.71351722813841,28.622714235788422,29.827829147933873,33.28211868378307,33.400823013858705,36.24801147768332,35.414917182798426,39.81469134775795,35.70558582185828,38.69353081570333,38.6424745462451,34.715255082719715,33.675122427488986,29.087481244427064,29.35287255275375,24.95039441232917,26.476781659970573,25.324655823981907,26.342423188605473,28.919125194976367,30.231251021304825,32.95738032647666,30.359592153904888,27.392140409430958,24.61514264868847,23.995747541520256,22.603986893045874,20.865807204466442,25.09554951537986,24.320093949856233,28.46252097911935,31.43715509144093,35.61116425995811,36.35742570433732,40.49362178146858,41.45002100559928,41.22884559397066,38.047379342474166,33.78138526914208,32.833242564760525,30.96138822113811,29.294708039937404,31.492586815430112,33.017609146947386,37.313966295041794,35.38891362432088,33.61251806207994,36.49257895090865,34.01501838662054,31.367026265026784,29.848314211796314,29.65347672129647,25.793655595164697,27.233767237190158,24.363133446109877,28.407141241214003,25.463286851820747,26.512675592885817,28.857604587738678,27.899791426334716,30.06374139151909,30.982375253946245,32.58713430356523,33.6341510173823,35.635178286911376,35.12256330154621,39.42201857407193,40.70619698176992,38.70963342433352,41.53592582738143,43.489930999897155,40.90298600533893,37.36736520077613,37.52049360274123,35.25235676228983,38.34829588148453,38.95260029051211,39.12325134773507,39.303068054406346,36.86355504106246,42.00196400056571,42.61920111054455,43.793929393090686,43.119397339149145,39.37011868923187,44.341317400027286,47.11568800551675,44.542873840276336,47.20394041518846,45.731028230037474,50.28235406526843,48.64950576684892,50.77285533404691,50.19224870922718,47.40491874776078,46.84705759547322,44.66397247879697,45.01688015556384,45.31680346147163,40.525868613811205,41.31923580456507,38.50209749700735,36.512569624494844,38.37620383290468,35.797567835808415,32.63500674756039,33.970321613430876,35.2385272993194,30.595264942108802,29.078940561742048,32.25096721165229,31.976969348525596,26.421158082997934,27.757880255068336,29.504234144523526,25.589121847934667,23.501180522717295,27.422778262247093,28.977987564458235,32.399269130525724,35.329151094027765,35.17326940582559,37.24023331665798,42.447116426846904,44.687586764379255,47.49056967324386,47.58445696610605,46.79827172701526,49.075115565172666,46.66803517908976,51.23123107529249,50.42328355031182,44.75433312289982,47.53053763194869,51.37361215614126,47.62604944809291,45.59039403532616,49.13588405833643,49.68106238349418,45.51046860753334,44.546355826345355,40.95956375130687,42.39804889076335,44.818023313657015,42.864433739142314,43.97429672325117,45.283545417178196,42.52459318533625,39.881810853504845,40.503384924252124,39.779420379790515,35.658714716387756,35.15401642380049,35.368340028764464,32.54123779736365,30.746182871142892,34.97151674781593,33.68408902772851,28.95802654663519,31.860654366758325,35.685110799164605,36.05907403201306,39.31627792285935,39.149302679061,43.29212968145476,41.44680710010422,36.84349462206144,41.12825741031211,42.70287196440273,39.56091086657538,39.26026576003667,45.11831791290704,43.83464487807738,39.301594977973394,42.31723231248656,46.69788540841236,44.661699040826335,41.17848574498752,36.448241829280136,40.27945722865678,36.16551879115105,35.82394643629048,30.727533536956013,30.354530121466087,25.47139957898272,26.137637986487263,28.77523929246713,32.41038419299843,33.040847937779375,33.934123258314614,30.040168081986366,32.933411309434625,28.609828090244648,26.52779103435264,29.4158759613687,30.422681153145255,29.275001096560345,25.395125811651507,25.27782403101044,25.328788363144284,22.144818124031715,19.669373859084345,21.98108312731673,21.272841867037787,19.38440314279815,19.94151546340023,21.68751737086304],[10.942052973602486,12.635274673234058,16.35410994293654,14.42913225522529,19.73704274381566,15.247034008143219,17.76640729495594,19.77620200194634,17.76432908276406,20.851045154528492,22.064969763192913,23.564000142260582,26.03573152160644,24.172456097344842,28.251645077390805,30.273163471523368,30.327395938484642,34.606045781156254,37.603924951545494,40.26462175049145,43.63010903761655,47.67993994242812,48.52980984080974,48.26989186714076,45.53569142966024,41.31099903547036,39.22024565549372,35.070023327766165,34.980782009463454,33.733253777928596,35.596554017280404,34.75121746483932,37.22067511943719,41.436416697953284,40.1296547398789,39.32851012662299,38.34032331488375,40.20488866662717,40.507870449097176,46.2609653881281,44.877489929892945,44.60964576229288,48.84453683468388,49.22310730082703,51.441017381408564,51.89594745157039,55.60048060373281,53.81592576108178,50.92284253479749,55.09166595498349,55.79728926696449,55.22484007713676,56.112834165447566,50.96463426333635,54.893368083313035,57.71424175330962,54.10069063852887,52.337153916517835,57.11731020457841,57.905200239269234,53.30840901915719,53.84400541502909,51.11836451949863,53.080551816146254,51.61019022147045,47.69832843840975,44.45654837911485,40.900468573964396,38.38599062281625,35.087100235725096,34.74157780329911,36.40052702629746,37.95524521585246,42.12788553286003,41.10099943841546,47.15785485616928,46.71178807375959,48.7404816058462,48.297249225664984,50.14761040648822,47.88084827822318,48.23475733518129,45.24795833504602,46.486589884691035,44.17606917636109,42.26464203790861,44.193198449239425,43.71822401325281,43.67240989880186,45.257613255108524,42.85196404403866,45.12060065445466,41.164863721204846,38.5239284107048,34.02936385088181,33.27472416911523,29.250467435204236,31.88171260331046,29.199343316955524,29.5022869407664,33.206805476191896,32.216014501143164,35.545652990744756,33.78634735005508,37.98524067626325,33.52276099120365,35.94084186142456,35.69912935903622,31.495970931198443,30.73920926885813,26.260824434348823,27.501856227246822,23.56534765234514,25.72383852092912,25.67967604608074,26.984426886246638,30.154857753022448,31.63280301208714,35.14826386328433,32.414380853220244,29.631353071700254,26.46183485676295,25.46574547137454,23.320764074638227,20.707097705701145,24.17838291648107,22.051399573655953,26.402708382331628,28.847136030738493,33.264239137007344,33.606448009798584,37.57986544109189,39.07534577634098,38.992912768136065,36.11470441360085,32.15502765505939,30.75765971587158,29.792103486368436,28.85709111642016,31.40094017580916,33.68977340977038,38.238928187521644,36.48673001967213,34.22690747421698,37.09121742582894,34.5469987048196,31.67604666793989,29.80605490557991,28.882615036719812,24.927940121327847,25.448162157564255,22.89281893191375,26.419436920867337,23.586420939980936,25.563109767498158,27.835483320734856,27.311732734162074,28.755725481177954,30.489824189749143,31.22758434367217,32.70452309365909,35.477157873590166,34.96446797155275,39.24001952098243,40.170042685456984,38.20981160339568,40.448607077043256,42.44067192211265,39.411319799999184,36.252537650436224,36.12550281443039,34.30140070071302,37.37617667644631,37.99440646255197,38.36161090583398,38.28355710187565,36.42989705705006,41.23868793029868,42.00164747234069,42.70084821404666,42.093222989046225,37.76147739115586,42.596508874229805,45.43137465652064,43.17464940909087,46.456851098984146,45.52993071475033,49.917674538509274,48.678473456670524,50.227632065485395,49.328602189092635,46.32990482998333,45.27433665323197,42.74218224628704,42.6814251147294,42.51709398689094,37.61835000849205,37.93040441117453,34.74211229251637,32.763091945820435,34.02530975827731,31.457062685301462,28.57120581436823,29.48461195167075,30.359269131238523,25.80917724021293,24.454776369856873,27.14155564895494,26.619166930741375,21.172553810135355,22.3735027152194,23.814755726194527,19.897805931097388,17.92321683277565,21.71491218013068,23.527952488434572,26.625781758915217,30.08747281879244,29.808890981458752,31.61388582825209,36.890477373658044,38.93059573778298,41.88846993898649,42.029691768467075,41.47188187995954,43.886757801392285,41.761968697630984,46.3674257056418,45.37635818950666,39.93525197256745,42.948614432356074,46.73240136241868,43.00185230322911,41.242064738135895,45.012093828981996,45.411603314177846,41.252991974122985,40.842338167158275,36.82755579888009,38.50923134419534,40.63822224015411,38.31018255263118,39.587077322678944,40.6146896928766,38.25964034805368,35.53191530636867,35.63376130943457,35.14065453054155,31.238818095449865,30.256307541139787,30.291186824959947,27.5535604520867,25.539903386592353,29.50720528621234,28.20678870904574,23.423309853005673,26.123243910411915,29.904008573056817,30.346112155122988,33.74420785208701,33.86958930161378,37.9521724358141,35.85823336269854,31.478045296631826,35.97384324508382,37.36344418910442,34.22600473422322,34.33626567861629,40.068863879424974,38.6866780929207,34.42797356352156,37.71196417500735,41.863397744582535,39.83758629342372,36.56112153758393,31.94192219721815,35.86854046138629,31.943579870127977,31.028256987702143,26.162935392833724,25.53087347745574,20.686928516333737,21.89547796268075,24.694795064820624,28.45156227519801,29.24163078553334,29.69199674050852,26.265667115522856,29.308237546088584,25.492947644196164,22.59835186840545,25.553885428692123,26.055273893979166,25.405829850729024,21.643335722017984,20.6069182800686,20.757503097011945,18.57442625657447,15.162461437699042,16.825018993712355,16.65701031370515,15.28158692982071,16.50905663403346,18.645557706336454],[14.668651252907733,16.80891942720246,20.860834895267903,18.800660500032723,24.319992957688648,20.02875276109885,22.335020743027894,24.29938479765321,21.829658377079646,24.57126874250017,25.384535756679753,27.050315201833733,29.712968628828467,27.3650877826306,31.26475775988055,33.60519260793904,33.71584297779343,37.740039029308775,40.51466621772302,43.502900992513226,46.65570539688033,50.88865919445445,51.52087663779135,51.247813362233245,48.76833773824159,44.434411601989,42.662232182860386,38.533818891896836,38.48669525031722,37.40865636894175,38.66623967537522,38.28861848521245,40.48669031953028,44.60700585347575,43.59886343624226,42.77809721974387,42.14772521598915,43.93960453195963,44.367519179363235,50.28150956072257,48.63072724213345,48.13032529925982,52.450405352027865,52.85255360474616,54.86518349276778,55.32571544953562,59.06003321358965,57.44376033314668,54.65094392521139,58.932266686348086,59.702369735744895,59.298072304123416,60.146347131278944,54.94755890876348,58.892068509322,61.54568752542485,57.802343643055025,56.03740853152555,60.76483315065242,61.44478596287588,56.68754335387914,57.035797118305894,54.26089460220024,55.948293101365195,54.66581906717582,50.90488731620022,47.2683969497404,43.79565452898176,40.94787032050754,37.58330863154106,36.99856706672,38.21388697954171,40.09382939472343,44.41607576491366,43.72700070931306,49.750327289292834,49.72127803733447,51.767645851998424,51.61819275168545,53.66217423093231,51.652459936559865,52.217443756925725,49.40066453558296,50.77379896710418,48.39142255855315,46.32570106475331,47.96984284352431,47.51384687987262,47.1091336910274,48.5331971993581,45.85787300956717,47.76456918519467,43.79058397353176,41.2785629675779,36.91207705651375,35.76846862073439,31.892115380450193,35.02913516583982,32.62765534820038,33.091054150453374,37.005189074848104,36.43014902761933,39.752615959175884,38.3072766864212,42.638966115016345,38.25200921691302,40.75149580238281,40.528089868608205,36.330180851376056,35.56559764449581,31.07522287207062,32.15267525819626,28.079890486441183,30.017609099169125,29.553335996245547,30.66261684235626,33.58726007369591,34.872208299344905,38.008681671376735,35.41756979264477,32.47978664015429,29.55049647870763,28.632635107841843,26.904110825523265,24.70227322038506,28.411206807242497,26.71941873099474,31.024748945091915,33.57442050438231,38.002235386652444,38.2931432852567,42.33569398170621,43.72720330178948,43.71636171465336,40.686174471672665,36.653601901988516,35.16620410144418,33.99078583542548,32.74875007423516,35.29331167531448,37.10149004559833,41.63184981762718,39.91385507001018,37.91467029681417,40.852360415542414,38.38509896587406,35.589961598663386,33.88625069378293,33.230267861074,29.26436551546928,30.00618346212734,27.189034830732727,30.691522103233993,27.403524252586866,29.244745903374593,31.828579129379158,31.352557253551907,33.12038453367013,34.65878049085083,35.74921428146743,37.11589699203612,39.62656355699175,39.0480894718494,43.380409872612574,44.35819921063707,42.215665431925935,44.68770935677303,46.52067447731838,43.569953695545394,40.32774402959708,40.41117179800647,38.534704027098506,41.74000872761476,42.41512268526879,42.74103489040489,42.731965772458516,40.65131138724976,45.55935551925871,46.33250704433171,47.18769083943277,46.55575193106406,42.38349958591164,47.2376606971999,50.034062954513594,47.67464255539481,50.79548999504874,49.68081687761876,54.096157544667676,52.614406533568854,54.39045575013338,53.53825955790444,50.65657158348608,49.674671207031224,47.22042547358224,47.251166300199095,47.10965078828673,42.203468068592905,42.59794460956695,39.35483350624998,37.516258069223625,38.679260005217486,36.18910687919056,33.333884705393146,34.036382011052744,34.866164526674986,30.40465744174794,28.85823860683084,31.38788623680006,30.87953704573221,25.47761285362018,26.349412598690222,27.58731460034018,23.82994473771386,21.666142933362654,24.95054377504651,26.969397524571324,29.87142884822828,33.43963952402757,33.53297205905107,35.205443318049,40.571559719052566,42.321874387815384,45.580230017686574,45.95927937702742,45.63923808932148,48.194000902576555,46.26222386075305,50.86020828031317,49.707652464083715,44.38251227347964,47.53148937356624,51.19699859124126,47.382065491986815,45.76971218727727,49.59693941510691,49.767920575196975,45.55826175459837,45.37272751243323,41.36057431321278,43.25648480140337,45.357789676756255,42.963050763544636,44.29340444912246,45.18252499866546,42.93719894318182,40.25354056702491,40.13786927567607,39.632378249526816,35.88001385169776,34.78156571331679,34.585679235364545,31.834398234885104,29.875557285793438,33.56610905842932,32.0547839838283,27.287879561757773,29.888340639223706,33.5202277834516,34.159009114555914,37.737342783575365,38.15867857222949,42.17336541841294,39.79821856517693,35.63672225286363,40.28815501746421,41.42148566249041,38.209966398583674,38.59729259288202,44.22375990273025,42.524792040628746,38.38692440225175,41.89189121459495,45.836167958702255,43.53627248056977,40.30410243982147,35.65109015188808,39.22701817508298,35.13086701507286,34.17992679463106,29.488125824741136,29.34223405460817,24.67775156844863,25.43914775025069,28.47001682598695,32.09613152577922,33.222585023164285,33.94424582450518,30.7647349539131,33.973557959585335,30.18691208508212,27.35312638312406,30.383473738037747,30.78498541558435,30.13132885693567,26.478369325857628,25.28767427854227,25.296976471264905,23.314616332377536,19.924670174812654,21.205555288225195,20.873061489328247,19.361133182358756,20.30932115431756,22.22480299993372],[11.35332935448593,13.92130348457665,18.53365656153358,17.342462057407364,23.318986140492235,19.997956640864544,23.11932232159758,25.457345677042195,23.975424346732296,27.0720441460869,28.499318945923047,30.014754092801336,32.323252427962935,30.444097391427672,34.67610980917743,36.669807178751505,36.48647695909792,40.78509410249943,43.520138377585646,46.262918186370314,49.53054998814824,53.554165470851586,54.267046727667115,53.758184997144646,51.10790794072916,46.923514820124474,44.91682166931718,40.85385384674191,41.062585878937725,39.95855533587691,42.0325530644911,41.15209575143587,43.696675658448704,47.922896293857455,46.524557517130944,45.6266728561076,44.54470794235427,46.1902061058636,46.25561311524365,51.907150564678034,50.32870512055397,50.38419173650049,54.64329023221364,54.759457588460535,56.869347600136344,57.04923468874497,60.81377802626057,59.24349608683731,56.097688270036436,60.152993263005264,61.161265583549714,60.56004746219089,61.65999089887627,56.56470192739519,60.71713068630017,63.52348707005382,59.896545609358334,58.35550910711046,63.17582462157809,63.79462923091516,59.284473225315786,60.01912396570398,57.40465260053803,59.25762862232287,57.65688274184283,53.81879106725438,50.53192556848333,47.11307399601246,44.43263389162696,41.28924232046051,40.75246676431568,42.318721113348786,44.13003953730446,48.2531101006199,47.427768799299045,53.54105818682704,53.05296973154966,55.1804234660126,54.6564889915526,56.38021259405257,54.066199968069775,54.184599317959986,51.17247081712759,52.14792343054691,49.7578537595636,48.14823718370644,50.230121398177545,49.92341924198773,49.94268073323507,51.69532874835731,49.298162900874665,51.59012720066891,47.65010358489158,45.03824776779616,40.53615834672136,39.76827825150648,35.74675127977091,38.3777667867501,35.63106169311375,35.68690689658473,39.47259188710875,38.08607446070162,41.51841310609365,39.309515738918435,43.169584559436714,38.47246904202234,40.45977459669238,39.8075119019484,35.39444108400417,35.1697503585435,30.762697838031002,32.52695504609758,28.96504772552042,31.01740140888654,31.43486771036645,32.406382810666386,35.795368604285926,36.86510532548143,40.68041693879923,38.304841711137776,35.35688739190139,32.27942707006472,30.751891990964076,28.67755397032615,26.105996129900586,28.998988164206853,26.638104674463925,30.88922397401956,32.98031644440584,37.67349730100516,37.26120310175982,41.244562243641106,42.93083912959666,43.35843433766835,40.30021773144326,36.59236764199845,34.386604045000084,33.96544785665458,33.18431009119633,36.147793794069706,38.19572558598833,42.99590997593552,41.667354381070616,39.43005714936689,42.4894299885643,40.265200079188425,37.2601924363601,35.60457653965639,34.53681495840536,30.751793517606348,30.982574826638075,28.762866722960958,31.96792286557691,29.10233992866022,31.533117501496655,33.82938255274407,33.45411858555939,34.55678689559481,36.52021595017236,36.737229395677204,38.03504360545712,41.16190712826997,40.18494617681165,44.592187167500434,44.996637927536774,42.54971689718611,44.61460002529363,46.19123627455126,42.87488321981642,40.013422527070404,40.10304663993858,38.75607521005809,42.19487349967677,43.11941823845616,43.81329338814501,43.83778797712919,42.32246186172366,47.04146592972281,47.65448737627309,48.13822825777275,47.24422291372375,42.775163255365996,47.275110424947364,49.9512701164007,47.785960846797906,51.42109374387467,50.76843855583931,54.878838217597504,53.46357604436935,54.81292607531211,53.596511278054315,50.69961128575216,49.2102479428813,46.51378381716242,46.248547928378095,45.65880018034714,40.706081567627834,40.81691166861205,37.214253085891386,35.76693172014325,36.31766905704485,34.20405137676167,31.533372818030813,31.4400487787943,32.11797190233164,28.010164266086605,26.028156821723385,28.08437077038192,27.853163007259326,22.466730632367373,22.69899605087227,23.751514251651216,20.491383531603386,17.854349341888447,20.47262372080156,22.626711201098807,25.354937739199176,28.93903296675378,29.39689561809705,30.934275949646782,36.34148645383083,37.88758101777222,41.36747341925302,42.15137054852354,42.138539136301986,44.9841055616011,43.508030705186265,47.97450537363628,46.408424006132115,41.351332589682826,44.84353526817706,48.16481463215989,44.21568805751694,43.01182417800179,47.03444736955285,46.709397233372925,42.47266327290816,43.02940306051381,38.779391236439714,41.316204618507435,43.18716745847445,40.60834147944538,42.350997778063736,43.11889383898531,41.41537528500313,38.438811237330015,37.884281526381294,37.902249837542016,34.35714410359203,32.555241921901114,32.40948961247527,29.93933290698858,27.487696107269677,30.732651771618137,29.42843446295785,24.674766952512783,26.544302169813726,30.05133199040384,30.568547257714044,34.403606958233404,35.22522341132163,38.97402885406561,36.116659409933305,32.19973972891596,37.060980278792705,37.693508938229705,34.37690734777496,35.229815235883855,40.60215097557596,38.45889144544603,34.60293653633972,38.47718963675504,42.00786117855347,39.42701318632345,36.38327448410682,31.82866592476963,35.087775874001444,31.033969576740272,29.696100170590306,25.379559329542143,25.57006412961014,21.291507786283436,21.895578140978724,25.18721085824178,28.673456204180575,30.259833243978072,30.97356193992684,28.60124619360862,32.16381965872385,29.017110773181148,25.755243025574618,29.23006553357379,29.273984172921363,29.39565454522609,25.670041683684623,23.577238347546917,24.11721194543148,23.151460266797883,18.71274700802613,19.407281848943068,20.100131950046084,19.333022494992143,20.932758372582803,23.05999915494437],[6.119494516925174,9.224074438839114,14.090422938277165,14.405536048858268,20.124276790310184,17.118377682422906,20.86392031238537,23.03789597658402,22.6221623899494,26.238772805420204,28.073696150492907,29.098861544698234,31.313036075264744,30.236067416358072,34.48889511455005,36.01302531392403,35.88127604556951,40.44815948310245,43.48346104334812,45.73609265902236,49.27088679285035,52.999490582718316,54.01759725993404,53.52500991005058,50.546566724979556,46.56400125159062,44.125870076196115,40.09516435974593,40.206112295398135,38.78843856910683,41.60872722403887,39.99029920758273,42.7486826472961,47.12952109087844,45.424929303034645,44.690754304419904,43.03873408842421,44.89672744761272,44.77362836427099,50.0625022593018,48.9638700240499,49.403829521136956,53.481560829163584,53.556566706746025,55.957802030184524,56.09193898287777,59.788934385912725,57.9941762008646,54.68029561644204,58.494849233346756,59.42875456636993,58.52245641048892,59.69783983466734,54.74123949871238,58.799451792124856,61.89870356444003,58.52842106300855,56.96492613771606,61.82210846584949,62.6508101099009,58.41520774077835,59.37281853536275,56.80477814287232,59.062878039064906,57.25746711711895,53.22505010438303,50.51634387929821,46.98991163973985,44.79596505684929,41.72086411500468,41.5096695477699,43.529369113788725,44.913799207798284,48.8620505962294,47.57534510629439,53.623309566539085,52.65102115694923,54.64042691833615,53.76176645608013,55.24033435388017,52.50720108962102,52.329282252013215,48.971022174927455,49.729765823276004,47.554582459487065,46.23606059836567,48.79136703594364,48.34917667443421,48.98447231465763,50.80329496068742,48.84528958010018,51.528070564536534,47.61493641426436,44.79165681242694,40.25053492990212,39.87843456436037,35.82712169883231,37.642538534202544,34.523412080411674,33.98944557149978,37.71584484152424,35.51427531452282,39.159625938486606,36.289592098884015,39.874621341066224,35.03366664045002,36.53678293832138,35.77392237889708,31.276839606856278,31.25931083121956,27.114618809953548,29.57393755294026,26.551877594957077,29.0233444931712,30.249409881112,31.475901237574327,35.177223305205835,36.454244832765276,40.75273091049676,38.230758242039904,35.5405681650577,32.22479344288725,30.589422860983777,27.994788492959543,24.87335895296383,27.06068359770896,23.70435551277672,27.903381541656568,29.477412131661595,34.17402682295719,33.54318498950858,37.26826065371383,39.364350963227906,39.8070635331378,37.131063179798005,33.76196225090935,31.40637077681473,31.708443633349034,31.577049933897612,34.61995972540507,37.33729949048645,42.16199960774407,40.89077958141523,38.29126707870887,41.21114919738559,38.92239515174674,35.84461752823358,33.92483727798243,32.32668528349867,28.637126284937057,28.16103675109275,26.377621925887812,29.087480418719952,26.656161441257186,29.595771378750424,31.606809505905776,31.49270021194341,31.968869528052593,34.46018855915144,33.98751581840175,35.60127439161268,39.22716496023941,38.359992403199506,42.60735562037034,42.81080233972122,40.58090644421959,42.110403417238906,43.80580613977141,40.23417096539614,37.71351002441859,37.48123248602321,36.45630385693074,39.69398450937328,40.546800003844645,41.34046319998451,41.14757131427889,40.123240223609365,44.48300368111712,45.19615305803556,45.3029680069428,44.51586337682469,39.67751725345778,44.0096802397204,46.717278461615734,44.85232491889405,48.89092328038165,48.66688779672767,52.62997579471234,51.634453321045164,52.50078529075421,51.100930536028834,48.03032958464632,46.22807311629378,43.30543638598165,42.714995955791565,41.810821393707464,36.87412244359101,36.57389156388338,32.79153883543062,31.28796077015205,31.393140950430073,29.278296536616384,26.902887772201012,26.562101127038467,26.887321655154484,22.92107329537079,21.25149011809731,22.849394422564618,22.36763131221962,17.203473120297836,17.4031214952834,18.19332255945055,14.929962814987226,12.519644589209042,15.16106517691827,17.517146921769335,19.97992569991014,24.084047380875546,24.183040664104396,25.521969153863093,30.940964251925394,32.46935766988995,35.91150578834033,36.56962421355634,36.60785614135118,39.46281919484466,38.10620410177999,42.58859007158253,40.996881079362794,36.09522580148791,39.65890067200382,42.99521857639658,39.152097907682,38.08392122716574,42.20548979291903,41.9354317369993,37.78140414387709,38.61123575498323,34.08198941246435,36.62072056595879,38.25109966639644,35.43801268083898,37.2441034237616,37.84656591290201,36.41755203970813,33.41369572290847,32.553691527279874,32.76162997063776,29.39687958017673,27.283251878733154,27.099298855689007,24.779699547981814,22.14297796245978,25.208999594524894,24.02964968208021,19.30486564341052,20.939526583023333,24.458218246554498,24.931358552423784,28.77885583773803,29.696884955937836,33.4029960902832,30.50792139498507,26.70405797142218,31.626311151721975,32.249830377121974,29.004322409242576,30.065605788902303,35.34964975865706,33.34170078050052,29.68655817523516,33.61969159861973,37.06306918978937,34.692472575378254,31.825252791135462,27.44434652715331,30.97895705206783,27.258290400667796,25.414362555398363,21.284102124739924,20.917011855290134,16.715209531171435,18.112175079322217,21.31260030677009,24.889564687586216,26.36924382617709,26.50660067408372,24.472859382349025,27.94202712443619,25.30548022993632,21.48850328019819,24.820584181707517,24.471015834961822,25.02846429943854,21.546941279647825,18.777731545508964,19.4860228351838,19.44335714962282,14.502839079864298,14.526969890732303,15.923456786751796,15.870463577793371,18.019494425020483,20.333904324687804],[9.320510374146714,11.61373836055072,16.274690872396086,15.909737251521692,21.95003594156573,20.116172374761263,23.778060095883376,26.549331703355264,26.04956997319924,29.208343398530804,31.253622933773304,32.73881256850843,34.44201929969978,32.98928259513945,37.53478772954863,39.15243443874032,38.548298920010104,43.03443361087911,45.60681298831832,48.08346378310651,51.39821810896663,55.15522845588261,55.91564471271411,55.126712536501415,52.34169456357972,48.37108843691424,46.17803330502826,42.2703855369681,42.82380345595463,41.81511429594591,44.73720861291795,43.453276665701985,46.40042385632491,50.61911949642396,48.76870855503275,47.696519607624296,46.214602540817005,47.54084547472581,47.18309726752412,52.49971865879421,50.92381259104808,51.591630380166606,55.75386974156242,55.51815729500708,57.67603704585118,57.52926535845551,61.29838601860563,59.828179753973046,56.3214950422427,60.10240468076536,61.40070871184487,60.629126650178776,62.017615332686944,57.0748324229302,61.48277465584817,64.3707818421868,60.86725292612481,59.64836474989317,64.5303613178508,65.00276947781913,60.79686152861173,61.987851975216635,59.612398714706735,61.56942898366558,59.60183606013896,55.74810186838278,52.84119683509138,49.56214236415681,47.043467373273415,44.227779819963125,43.70348105155955,45.637405527467145,47.39973228609791,51.23392667381497,50.335128266769104,56.52460763309747,55.51928476587431,57.79600288331534,56.84937005245795,58.172870522023175,55.61457787729505,55.20816593977263,52.115557004722724,52.60104100893087,50.1583511345002,49.09147570044481,51.57005180975557,51.5380820156232,51.925219638904366,54.12335455570282,51.99936760643858,54.70812706818317,50.86879743818527,48.24516932290745,43.622454314956684,43.30712050051598,39.147053577807846,41.329186655340976,38.32602501166397,38.188455915306214,41.566466267190734,39.46530392881047,42.77389135789661,39.85813373578086,43.046126585718696,38.11151679848258,39.59187607927666,38.40533299104378,33.8760245047974,34.31419304358021,30.055042540686518,32.355728702959496,29.432834984113335,31.39190498228284,32.68094417099737,33.39698005015169,37.176819380983176,37.94087013346418,42.40402910383282,40.35270692145679,37.42687239321408,34.29623004291489,32.134009954923265,29.812507909029726,27.03500946864921,28.94523020544708,26.154139122793122,30.128001267373307,31.722140654254364,36.602518815236714,35.38058439655493,39.28521635730527,41.15310702267873,42.12140471558891,38.96735920172648,35.66863598763078,32.69899385258136,33.043747201979016,32.729366032127906,36.06885269027759,38.264587774628865,43.25859527424849,42.39409659523585,39.97701600531384,43.13464990073413,41.27537371010305,38.104086922169124,36.635078816508376,35.247556691106986,31.836487281718515,31.700034186402835,30.29812680906626,33.29550791956588,31.173514163840505,33.947385055649214,35.74430816937199,35.2936934511128,35.688676722968445,37.89490902402905,37.172412710872266,38.19136350520421,41.87382381085256,40.385367893613,44.82422418146316,44.563608439359925,41.77180797311518,43.40808999592619,44.64444982021603,41.01268906709574,38.59677874629408,38.74123366386214,37.99014126733575,41.67046151130025,42.90823889156004,44.03518595076302,44.20335022858022,43.30475383502786,47.8252594410688,48.132774719759944,48.25844492266529,46.9786295784953,42.358192901149714,46.35830022983042,48.82123589112744,46.84248267981514,50.943212245404894,50.762984162006326,54.47515839968047,53.08041007555471,53.98934705589675,52.39627487536491,49.558261265635004,47.56051032231709,44.67644441573344,44.14828831547786,43.12744715602191,38.20851079807469,38.11312338257241,34.22269258288689,33.330550200226725,33.32334228518552,31.78772772152602,29.258108353809913,28.254328764899945,28.96293922445995,25.384086943233452,22.696611194882383,24.345407082709304,24.773420837356536,19.403204501723785,18.790829864837004,19.882404451919957,17.50342413328764,14.070949766109642,15.825808664589363,17.83159909720005,20.65064977430349,23.733270890936,24.699280832988606,26.286741907525347,31.642697078931405,33.1653581227856,36.716950779183435,37.99440271609627,38.18201100682587,41.3148176651401,40.279994792723926,44.49523276316093,42.481222960364484,37.658773156405076,41.45821418235934,44.321693881342945,40.20243508541639,39.402861493798326,43.552076228061495,42.651051255937084,38.40112654337228,39.68217407508401,35.34074761481047,38.615275741640595,40.30455916361001,37.72450004956582,39.96834361441224,40.793246917193166,39.63087348358587,36.258318611031,35.46970626160819,36.165046636530995,32.76642061979313,30.251679642411702,30.443296242734434,28.40734617063356,25.329526522859005,28.140756160493765,27.340303666844182,22.74973113189713,23.558173869289828,26.928568856850287,27.044229636563635,31.05461950494987,32.14108138362948,35.50625484039678,32.214566185310474,28.43746517780248,33.37275974423879,33.44803832363716,30.006912679501262,31.187465474863956,36.26458767955109,33.6395930112175,30.000792591717392,34.175078021968275,37.28611413496423,34.39302649141152,31.500058699737803,27.061815291601548,29.92394003436169,25.912786071165293,24.312707255496566,20.38934713799931,21.07703463506493,17.412967108841784,17.600814162157416,21.072349384166756,24.28189010677448,26.351335714180312,27.175901380295294,25.746306745516694,29.649605659977087,27.25874103689584,23.838964428855714,27.85605163094193,27.701242912857964,28.71338417985544,24.8444512586174,22.047243590144017,23.41507703238559,23.305094577576543,18.021663319526137,18.398225553254953,20.352159519353776,20.445060883295117,22.61473934501414,24.8784772448316],[9.635526640732808,12.124112919490974,16.6484863470754,17.673961956375816,23.30862409076266,21.902158799278467,25.895270135185502,28.422982928462815,28.568316897635924,32.039719256462426,34.20559459444278,35.323813653109276,37.109624832157266,36.11327525081753,40.58344131686649,41.961031696529716,41.46249425862282,46.068988864031034,48.811805410983546,51.01664033781332,54.46764890570859,58.050859347507014,58.97188661999946,58.181477256924715,55.232868546918255,51.3956787987807,48.974716900050446,45.10728901784656,45.58552078866027,44.36152337304818,47.632307694128876,45.903373230674354,48.88340298755449,53.21744422283142,51.25702254767497,50.345598402685255,48.51556266989323,50.02032466938317,49.551232570142936,54.594349948959945,53.332107012984004,54.2517908087059,58.2867179094687,58.01365565398988,60.33237464995458,60.12569140041192,63.84414363044572,62.265498274209946,58.63594930426063,62.22443704542673,63.50697123326536,62.526157509180756,63.98080411271631,59.160568817382064,63.48479168215068,66.5690721881606,63.24933264806621,62.0135890154025,66.90185278072803,67.51579677336012,63.491022534211886,64.79559604972336,62.431465218055656,64.62717642981966,62.567403965262535,58.60848204417493,56.02166495243293,52.67798012233299,50.42075476787468,47.610956398867074,47.25717297625697,49.36233734830979,50.91437020177527,54.691139339610025,53.54303160655767,59.66221528262012,58.44146863517832,60.5878757658443,59.47236100795336,60.6753545018558,57.84731444579633,57.27033735874381,53.926851334025145,54.26956471195357,52.00742109443574,51.148086106841845,53.93064970861879,53.76696194691797,54.55364520959734,56.707229457354615,54.850013482410446,57.7205563856134,53.878648392235135,51.10811478512813,46.512606603703524,46.3255629385978,42.20997018465484,43.9200633855041,40.71616100131097,40.07832472105592,43.570264256481074,40.91828867334418,44.45355902129057,41.07326561494632,44.04498180111535,39.040738124790394,40.02249010178511,38.720835988420305,34.160472791821434,34.83648109608008,30.918632844748487,33.794297427286466,31.331495012014813,33.557237020284106,35.34259296676894,36.196083280646384,40.12372951203352,40.97410406261328,45.67771517675276,43.56142656511085,40.77941104590498,37.549604995546936,35.347486081712375,32.78455383209388,29.740140991086097,31.15237734383321,27.713380598591165,31.540047580303934,32.63734068387342,37.47059769816152,35.944726017240875,39.56007886197665,41.79566306330759,42.86238849083904,40.03129923330603,37.08778950200151,33.89471167891316,34.86610267863103,35.00992832328534,38.41714456080085,40.95332831779715,45.954928630495395,45.18599210955148,42.57780845193155,45.643223897319096,43.76935528773267,40.57604024569508,38.946307778831034,37.20736080875895,33.8756823548572,33.18905961953289,32.011926332470956,34.482159858564124,32.44999178476117,35.64226643394678,37.391014765710395,37.250655132333826,37.25089115380056,39.86197657651775,38.69128866362783,39.96259938810355,43.972707170241044,42.55211102714682,46.855733677255046,46.39701863968936,43.6951049803255,44.90566722360896,46.11199833512391,42.26752916287011,40.20670778849677,40.17316069628158,39.75764150016055,43.30940743949222,44.51687146374184,45.72383189278796,45.708776122330846,45.1711150635107,49.37240919515168,49.79516317013612,49.61963272279082,48.43364500132641,43.548357554849225,47.33906935044517,49.7813591502618,48.07445569882479,52.49909099276722,52.66117542264061,56.20833346747762,55.08408628250991,55.61406334024163,53.83306547434664,50.918716222535934,48.60720565633974,45.54010713919766,44.70500695559387,43.31487491649287,38.47019137768565,37.95586092820273,33.842742130466064,33.086190478577684,32.40345829789658,31.03708941680914,28.958772415198062,27.4063953552806,27.620475605912148,24.50073225144943,22.02966982349526,22.805388731085824,23.022700138156655,18.310927899667494,17.160158890076303,17.568758627965277,15.81193988281726,12.640655434653665,13.154535666172947,15.560946589469086,17.53787167733645,21.26069223419467,22.328497109202072,23.411711478937786,28.741243344711393,29.814352056581374,33.65775888360092,35.1463018167309,35.72516604257234,39.025653470449235,38.44052234761444,42.56906390383889,40.30675479425301,35.92980724867941,39.94439791482569,42.596859132761445,38.55576525779562,38.15690591591287,42.44247043413945,41.302863353219436,37.16585684781763,39.09387514396628,34.477910080096734,37.989983716305275,39.315244231280055,36.42253373626725,38.81178197132762,39.28181388275671,38.635057697813046,35.30057448400428,33.91120818162883,34.87618405474721,31.927307038389543,28.934961800550383,28.86781895450833,27.109423841583748,23.931223294144246,26.039670800610434,25.257194140228144,20.974600324210797,21.138958974183826,24.149940309273752,24.375915979345706,28.527638406383982,30.098427896847166,33.190124330652104,29.51276952072218,26.290517294605106,31.35833754218288,31.021954646184387,27.648138094877808,29.459664123836955,34.13194223923268,31.263004418860124,28.172211203961407,32.6343771006525,35.25697657075588,32.30215583022454,29.790558006347897,25.68445153367168,28.31352397632566,24.656799199144874,22.306932064622078,19.14454470904202,19.787488153857467,16.81292622436886,17.36085181634392,20.789734290063375,23.76943177997158,26.071124551857302,26.470340562879727,25.839458300460986,29.69849150937209,28.000126885086594,24.139142801218853,27.9505290341158,27.269180823491453,28.758232287159508,25.348855037690875,21.819336666290468,23.208358121869068,24.186519029268556,18.718260580926795,18.1043025862816,20.501725087795037,21.120612929091592,23.503832430002095,25.72037128213492],[8.985168682379458,10.226809781688445,14.194756355565765,14.78635301782765,20.334943162179016,19.976624149283325,23.901688948345463,26.90478031332536,27.3107990237627,30.44523635887809,32.97024082710497,34.3581112219133,35.49786594614876,34.52080460048753,39.221542683964046,40.44682484813433,39.518544537067854,44.118407507101075,46.58191433809659,48.72760531790744,52.09055859104205,55.545144181016056,56.39692556347244,55.4067692163004,52.477019148784656,48.75767152936042,46.36424008271322,42.642182268876134,43.441675494197135,42.486911488644125,46.15481648306879,44.47878557857598,47.754058363944274,51.92445505023101,49.676423207817805,48.48581226669252,46.62804153975108,47.69501273056079,46.97330641082594,51.901634210147584,50.424061706320714,51.631833297926896,55.64279653487493,55.12637048161956,57.35996871646908,56.95975784846365,60.68625500524477,59.25551565430332,55.47032288027537,58.96237018783696,60.458125137937074,59.505400453850704,61.12234533208618,56.36654062425539,60.92937630470508,63.90208416356314,60.56417353505056,59.61192594175972,64.51073052913766,64.89419185728397,61.00922283417245,62.59351739424903,60.43871530755293,62.53054654423455,60.250083946527084,56.38383060159633,53.908404294870806,50.754945696589054,48.48149550432994,45.96732426844307,45.52264343473281,47.80910263029118,49.42606205968326,52.96167018232913,51.931479316689945,58.11668198660114,56.62218850552588,58.986524358776485,57.64828488874568,58.59479318215608,55.808618251117515,54.93347553991024,51.775653822392215,51.820252500329296,49.383658056149486,48.813825682753375,51.64660498240152,51.83083472383821,52.5893752164173,55.14989113339302,53.3262032772823,56.41012130777898,52.69584872370628,50.069582144321785,45.39420919396411,45.5117515760774,41.28651610441226,42.98740805233112,39.794019081995955,39.499538597484595,42.41963041151472,39.710739207849784,42.83516188241385,39.33081803640794,41.851323395203735,36.79482787362776,37.7921638376051,36.147349745017756,31.60986564781683,32.63999361256626,28.636711181038926,31.367739460857717,29.130510702530827,30.990612586617416,33.05640576217363,33.59676115860656,37.64422023103085,38.205580936247735,43.1767098441417,41.37141150988937,38.56903149218364,35.41759396464665,32.81945033467839,30.277047263782315,27.346453411939574,28.2883389618713,25.12375485597473,28.699241503750045,29.766499822957577,34.689083842722525,32.78089417309252,36.5268766343067,38.55250152256157,39.960955403918014,36.817649676773605,33.969038393915795,30.419916007731295,31.505931459926316,31.699678964025676,35.2610571250925,37.67323099132808,42.72630893935436,42.23465214892114,39.64725890610515,42.79889227697102,41.245462820584905,37.992496432968565,36.66919282218177,34.993753753011525,32.00335109454893,31.52628852333178,30.915488764627007,33.67145112557483,32.33257636897244,35.292651445618745,36.56738416418844,36.03996879776784,35.78253023844526,38.162347660282514,36.60132074658224,37.38114523544265,41.51029283721532,39.650778354288974,44.015091169379566,43.1960409006389,40.22105367777727,41.39343567576183,42.37537476051434,38.49785835650823,36.53893516312937,36.65841888453841,36.45327205367444,40.225304543569585,41.689020781239776,43.168867022805244,43.44014976422961,43.1204658766666,47.38183957020132,47.425203693845795,47.21576253677452,45.635968939211196,40.92493581237972,44.42871218141568,46.68747330275417,44.92057761859651,49.403105753503205,49.66637362161504,52.99719010544062,51.714601205045874,52.18251742622669,50.28110512549354,47.48717615456825,45.06074756685727,42.02654869018079,41.24758558541804,39.85327215857218,35.02957346926796,34.72667725976575,30.64452012006399,30.25394669208341,29.769273463665957,28.800472589836826,26.435786234217993,24.63123149674967,25.40804466197712,22.41533372255986,19.10632201290767,20.371526321212045,21.536369213493064,16.32676396027405,14.89714058396421,16.161432414908184,14.844863340319934,10.710611452918489,11.542097535371306,13.130348304834522,16.229825539273,18.556272070061933,19.92163100612613,21.673230777900475,26.906748512622197,28.587048620575096,32.028605725743915,33.677776325856094,33.92527946187352,37.2474452106963,36.53579105767657,40.484427481268824,38.13573865781242,33.49286012555135,37.493878783608125,39.96080223251275,35.72484492039767,35.24118637407777,39.45174392666867,38.110473245486595,33.8815762923671,35.73555086497808,31.35876855924344,35.219437850241555,36.746106464267534,34.24275103643254,36.90728566693073,37.85339651626711,37.13585418630251,33.42978932957201,32.556425375815806,33.86847597929439,30.598857218522618,27.53213814594671,28.161244954315443,26.59237651899056,22.991853240457175,25.436928639520744,25.251243177716592,20.982041204093658,20.74025186696271,23.962855149541138,23.547375503311827,27.574934612482703,28.7458747988944,31.72807251962833,28.183565975050733,24.45304887458418,29.328486660457248,28.969474273075647,25.443589963073727,26.79417818136132,31.610166029391166,28.65173480269293,25.15674245643584,29.514964686350396,32.31247847610452,29.227695618318858,26.447843359909196,22.141923457873453,24.761490652972725,20.870174349443804,19.01182730236548,15.414576154336974,16.454503348378438,13.537153030812242,13.401251820540423,16.89095912135508,19.802420511537093,22.211765092682555,23.03729485287796,22.51093599667639,26.596909731830973,24.99088749360171,21.548110486241544,25.92301335332909,25.64527738335658,27.438125377528095,23.547961157812516,20.298987062944697,22.446829953935342,23.01377505447399,17.341946164925783,17.542003208946575,20.545726089557192,21.36596240968119,23.89538646042334,26.183147456702585],[5.055924064250479,6.417752905155421,10.882936727622786,11.510273355871487,17.167988984879294,16.024046766034175,20.002510052818653,22.81991971165532,23.222689825973088,26.534494608493457,29.00224477257053,30.235585943109786,31.540605038678933,30.726336572654862,35.31602510737928,36.49641592234797,35.77611638100745,40.42517028921713,43.139933581753596,45.18483773156644,48.670690864799745,52.13954180118226,53.12914884604802,52.32930276393342,49.28993646355781,45.532009313048384,43.008704007481626,39.190966539627624,39.750448213757736,38.6062756342993,42.218603142587924,40.422430698585906,43.63593674425958,47.86135045097801,45.67461848825358,44.621159613311804,42.7202398391982,44.04306742074181,43.47695188585027,48.46853717139851,47.2175882535836,48.2334100436859,52.227864766791775,51.91659930135208,54.28504946586132,54.09033028985661,57.7900435458253,56.155841907390204,52.5208067071605,56.09524180556005,57.349325192873785,56.363813459719076,57.826989746689726,53.01729081343797,57.396391661076905,60.4579247255249,57.153007386635565,55.99249063455613,60.8870126705031,61.45757090525675,57.51119439630392,58.94465201875047,56.67965234792164,58.91443404447997,56.732166005391,52.768213884694816,50.36883133965119,47.08012938476836,44.97085334834668,42.3234687838362,42.04619396911659,44.40296285339316,45.8108428825499,49.39757696313057,48.16745104342906,54.294772490102815,52.81743624242124,55.057365433083376,53.763640811255584,54.807832111847254,51.97070669852448,51.25398853058732,47.99754218072032,48.234300193850004,45.898915597223706,45.12843770618682,47.95239997672351,47.94272172345583,48.76853304432858,51.15838396183445,49.38905607265402,52.467723371969754,48.72564026692626,46.02406652071542,41.372254863301286,41.49977906763295,37.30587197668853,38.85973339974827,35.63054154778359,35.27981726840344,38.26622438530994,35.60921963344002,38.82588540760702,35.44204652479682,38.243489137473404,33.228751644731,34.42333326792303,33.06495618345795,28.51547804078133,29.192700358613237,25.089572970951373,27.767639472050117,25.34287135124223,27.45644786813338,29.42695051368638,30.25350704082729,34.26156374288958,35.14203043224718,40.005840908254115,37.91459372606178,35.23402721866599,31.964591555795707,29.66666768731459,26.953238575645674,23.81606462306328,25.01691920138127,21.60188803394781,25.414984849003194,26.643794885747212,31.518077217021848,30.105088004907984,33.87455097289178,35.935302597745306,36.95444948304169,33.9992789088098,30.95742063534434,27.88543504809446,28.75297839225977,28.96108831406403,32.32734508071482,35.0579539524096,40.01728682901431,39.21937403658844,36.52982841753034,39.56074422833064,37.73326262951171,34.52207428292144,32.95764388349363,31.222732438820405,28.05892105013632,27.53487112931558,26.74741447695244,29.539533001453503,28.174519502428083,31.077667098901717,32.37396733899271,31.892600531992567,31.727110960243543,34.157772411250846,32.80352526522163,33.85814991496587,37.90324005479646,36.40119477275468,40.70032130831385,40.24008228650217,37.622429501901564,38.85470601979525,40.19991130432547,36.417109861967226,34.24123274289139,34.13330474288985,33.62180432566631,37.15276642133761,38.381306767464814,39.64126987517208,39.754683495994044,39.277234188123565,43.549604351824954,43.78327900126472,43.6472232445029,42.33148493465011,37.537360211989274,41.34381141293658,43.78683279123001,41.996060315228206,46.35656245516138,46.493787231652334,50.05852184945807,48.96857424775157,49.521062625860296,47.813278141585286,44.86113495229336,42.67246095276209,39.657343176223364,38.94259708159143,37.774847992632566,32.869939013949725,32.587686658082546,28.647181082606675,27.74043214086316,27.648621242010922,26.189782052627017,23.68054000475713,22.58208972396399,23.350722425286726,19.806458026801057,17.042513247731133,18.771957040367983,19.43911272414972,13.855547247980198,13.308188817276196,14.813969054058152,12.4918669725065,8.682243315288407,11.181576071481864,12.870160112414688,16.227961251641897,19.10770736557583,19.620925308598625,21.482775757018054,26.814339599103082,28.794678951581588,31.966045272785614,33.02462070354946,32.928451607109416,35.970463899336565,34.780147376776355,38.97983931235776,37.06239587500159,32.09164549474476,35.83147687135088,38.77156522949121,34.68805320475924,33.78650144950975,37.93516662723142,37.20102869574289,32.972084994191775,34.16069981116091,29.730915316984984,32.96313770665994,34.633251693843036,32.10809958806779,34.43520547931648,35.44069784561194,34.29910423682282,30.759310835804175,30.15760712416496,31.073070221431436,27.5586481221293,24.927091953233347,25.528927860764547,23.67179264180757,20.27880641705318,23.314799406961512,22.96827243322612,18.42172219593277,18.96276332299119,22.548953709866755,22.248957706825777,26.11055505795277,26.880027753743683,30.266447663093153,27.20988078306671,23.086448266987862,27.92049261211132,28.208455656494205,24.77303323936373,25.68027204226869,30.920365697548032,28.596240288994586,24.762875635321294,28.788296103592515,32.14171214479535,29.53971982417599,26.568779616338453,22.11797635631683,25.51054040213673,21.71903146109611,20.034695532670167,15.793576454760535,15.805635468097496,11.895558406149485,12.779465596564314,16.09180187172291,19.524048982412292,21.28537261582617,21.71978898208814,20.300069433142657,24.14572162840401,22.053349112430215,18.43784450448118,22.573177022190407,22.42418229736464,23.81918266145415,19.8659507202758,16.877306571183162,18.81103562578438,18.988663137603204,13.386556925226825,13.92330405379535,16.728369741289363,17.42240047944041,19.960744105886434,22.324518224716993],[7.51713238602943,8.39878799225328,12.531185416581211,11.527728302922743,17.58720772351866,16.534343950777714,20.149686765244674,23.355036754359865,23.175305788632073,26.06697460982367,28.50162014214724,30.182047192010938,31.26101009654385,29.940330916908135,34.69248671056417,36.10145814982702,35.13416443366966,39.65824683361585,42.069231479628115,44.413579299702505,47.71299570871985,51.32749111563095,52.09847093843493,51.18534640156805,48.34509963336338,44.48581243574728,42.23366772186919,38.43029899431746,39.21301153823207,38.38569624458833,41.74887635085679,40.419187004099236,43.659220513707844,47.7421143181001,45.59969176993396,44.307822028029825,42.740659058966955,43.73621205026953,43.17174713032173,48.37929755858364,46.70779175119105,47.61573864131049,51.739256471748895,51.338806329918086,53.489883345657574,53.23016725183363,56.9964173157875,55.57293227104589,51.955047362639824,55.66220690995545,57.0701526381952,56.290648900529916,57.784143701420945,52.89081832339854,57.45923954875394,60.29395382950961,56.80271030822859,55.782204438177956,60.677699974115,61.01058964536514,56.938485469716085,58.368949271634456,56.162821435078406,58.10661698584259,55.93692764077674,52.11849675287983,49.397775764413815,46.24626581143477,43.81093955515329,41.248316948147696,40.72196068818975,42.91405915321397,44.62518140994143,48.22104947227133,47.32486152646281,53.55662006737526,52.24014389819486,54.6784027779807,53.495709100775464,54.5805518023117,52.01204181467601,51.34733561878702,48.37893154521645,48.62645591954895,46.063068656133474,45.22583750111533,47.783798006861154,48.0180319522937,48.44766488752852,50.99755335988717,48.963063808865236,51.91940636319936,48.20106696171546,45.67910523945796,40.98160747771852,41.016783059841316,36.754906576679986,38.80660769928958,35.77775659659204,35.93180679243747,38.7372073786658,36.55002788143508,39.483137873816965,36.45566915867773,39.27920564728154,34.31154727650987,35.86202905541967,34.44941944081835,29.95305035798281,30.60591036070936,26.242694790594555,28.383485270135203,25.633164845365563,27.32661788696341,28.907301542395533,29.425371406555318,33.34490033653203,33.95487169398134,38.69812336323613,36.83617361503968,33.94838905564603,30.82563321263217,28.351462893018123,25.940181661134112,23.16124001096594,24.66925105872149,22.045379131173277,25.85801287504667,27.482328162753173,32.42362895382686,31.021646124862077,35.04855536047014,36.73189444154789,37.87844045767737,34.5071274057674,31.233865633325628,28.102662927537494,28.48131159732536,28.240424633648846,31.672089566236696,33.91532090933306,38.9410965519525,38.23250709598245,35.76648682190625,38.96292473387481,37.313129875756566,34.08702669736266,32.82261690672905,31.451683904561406,28.330462957512438,28.366446876804748,27.50844869908824,30.777204348321963,29.39254117115641,31.92616250431455,33.21876666284015,32.40264511968066,32.53229930638119,34.54482089112185,33.46931377010053,34.10852428951422,37.90484650642396,36.11623139026731,40.58817458473591,40.09982698439789,37.188774783126554,38.79075659855187,39.96318378768532,36.3269514881105,33.92900629092238,34.11962708010576,33.46102233725026,37.25968976192851,38.65757066442358,39.97661386209864,40.359976887080855,39.64783820154672,44.20905874985611,44.21591452776096,44.3141608537701,42.751631962741385,38.257838128470205,42.08217105044001,44.43681760768763,42.404102582049475,46.53434508170965,46.42721771035697,50.01128038696328,48.56412039290424,49.41672720302702,47.77334369362343,44.9792807378022,42.95112886560154,40.09990669797793,39.64159129381337,38.70236604515864,33.78298912625054,33.89390626322666,30.109432222203846,29.363128531990927,29.701542798925193,28.363944336745543,25.522644663654248,24.57622814255464,25.805334464070878,22.175706564293183,18.946695558292713,21.235378941440164,22.332583385826638,16.46871817980896,15.981636554523066,17.895613850369294,15.60643742682465,11.587066501175777,14.168964462382444,15.44597388493802,19.226109661480994,21.276843522932197,22.133442514194417,24.31929555648427,29.561077416348304,31.71652001968596,34.7826773036764,35.965541355171965,35.72162994100159,38.746984885849024,37.423681341549965,41.543762211058365,39.626939336748386,34.46806125791322,38.128575895745534,40.990080923662255,36.77861032693781,35.73993564764409,39.773957841183275,38.93767908326402,34.628059603065914,35.562211907230015,31.446521704118105,34.77801430285806,36.70070917054259,34.48973356639762,36.85292117117612,38.13850882954429,36.77119760227964,33.126114894134524,32.922585089534316,33.804361461796844,30.04330976799341,27.6316192092459,28.46526565590427,26.534531540837932,23.164011367897547,26.452653951098476,26.158957733625858,21.55229211170614,22.229701983599806,25.868033137763554,25.450406709259607,29.246299701000424,29.81419528410035,33.19780507912874,30.235752774437888,25.898138882049135,30.587113193054847,30.891873596452342,27.388889127296558,27.960931269759,33.28925411512186,30.866755048932635,26.766789609062325,30.662359553752378,34.136288961394236,31.35704542349439,28.171901208136518,23.54245588357466,26.701199882708533,22.574814693154455,21.52886652651369,17.0046474237604,17.596819562197773,13.626168844840173,13.548244017579973,16.931771808863147,20.273627828739592,22.124623360867886,23.189219216301517,21.470746852090812,25.467805365673776,22.968735067793297,19.931764886580176,24.382860309722865,24.6731444477247,25.835281317146446,21.493756449252583,19.115006628842014,21.134132876183422,20.482264922101795,15.076648253339627,16.406983841825333,18.874338877139063,19.15971361120273,21.482256206813,23.826568941641753],[6.879987837547496,7.975741714239025,12.137569388143675,10.494227020129985,16.57445954552701,14.164869145758853,17.554907012930265,20.507973165414683,19.81524773507167,22.813823618089327,24.982064881127876,26.629855200588295,28.064502096077476,26.623194551589997,31.23490377542299,32.79380237193709,32.115550131584186,36.61897342702024,39.25849172061351,41.67228243118831,45.035195222472446,48.784837810208884,49.61575437240057,48.92924718132463,46.07660305363178,42.08920945299406,39.835815941287755,35.889081373071164,36.386992321970176,35.40977468738478,38.395858880599825,37.171227991763345,40.229188700353795,44.361591532651,42.43217380254684,41.28024667890786,39.86060258693749,41.13984108943951,40.849971199887605,46.25918323612726,44.707195797073254,45.23738403183559,49.4064796574115,49.27390151807243,51.48424876244937,51.4821902438508,55.23663180542248,53.65374552549487,50.27197902237704,54.15070802966984,55.29857434276862,54.57583680814385,55.860510246980496,50.861692382930705,55.22549238641316,58.077232247404005,54.54445443015274,53.26771451377441,58.144385229857406,58.64293281867246,54.398055866780716,55.554791643983116,53.18106379006283,55.166677432472646,53.198696170344284,49.32020492273381,46.47183325937063,43.170030233970714,40.74734464919664,37.9570911684754,37.51972322421965,39.6215626833112,41.23830651677783,44.997726834852145,44.013689054259046,50.208309073234794,49.110170391184,51.4283830326321,50.443354260489315,51.75599946380926,49.25888974869125,48.90811653689791,45.91730929071648,46.48909806524295,43.998417739995986,42.80294118545885,45.18474616812899,45.19526780719512,45.50035346252973,47.779990196115484,45.64958581679625,48.44553942429964,44.65558209455598,42.08740421406524,37.421658485710225,37.283242161183665,33.05925885560973,35.238614003099094,32.28010904524983,32.5164175292943,35.53230367269125,33.69573260072959,36.7346322637184,34.09585740732142,37.39150066906252,32.555120587163216,34.463550991942746,33.46394780748847,29.033448755771133,29.165199726211913,24.665978357809784,26.489482420708203,23.281787706082284,25.168702235180646,26.272332785337486,27.081564988413117,30.825451421121944,31.76732447581013,36.183474888426026,33.99963091827515,31.150607894664653,27.951986063874248,25.922818485881518,23.499588862495752,20.665531002114076,22.859282101169246,20.329315087511844,24.43371856543155,26.412998445779323,31.225441573142703,30.496624891249283,34.55756401942412,36.164938168097486,36.84122098459982,33.6211942154356,30.042842591474955,27.566112268223034,27.428340248325668,26.95588678477493,30.09923597217863,32.45988300110763,37.354421071553816,36.25462742752664,33.80386231029265,36.89924004290831,34.919144057257974,31.776485413935184,30.283756693583562,29.031235414337935,25.609052612517388,25.82371290907927,24.473105137001067,27.921342912113886,26.201408798074244,28.53963810384259,30.056394367242255,29.26894141025098,29.78487003225799,31.708422491414957,31.189791627039163,32.106846708020115,35.60335556420549,34.24625410755682,38.68069737596414,38.700831833839885,36.14929988569917,37.986867499493925,39.5150096124551,36.08872904487333,33.36586039252777,33.405639956116815,32.2872227655292,35.83916143940116,36.961589506417596,37.95929041936508,38.19498370928345,37.105374787263784,41.784357561340606,42.02870231743154,42.33404314002444,41.08904481501024,36.6215019156734,40.8460509039158,43.396900841421626,41.26537053677693,45.112209511615035,44.7179560617378,48.61556752054708,47.2627219230441,48.36035015756374,46.99316288549475,44.09130075100713,42.430137125002396,39.68364162281846,39.3841937180168,38.76910040636155,33.81752538906592,34.03557686649853,30.491551317071462,29.211743385571026,30.017236534255527,28.158960494850042,25.198677759680084,25.084128338253095,26.264230553954462,22.148154560761146,19.632409091561318,22.275883143326272,22.765950664093335,16.86084324851775,17.238707556637614,19.126997071023347,16.005173066189272,12.773941256489412,16.255533492977815,17.681980256226616,21.340657212545835,23.91913785282497,24.168360704188004,26.301156777844014,31.56310957856545,33.808436165130864,36.73055768036248,37.4192587231461,36.94354533936092,39.691529468182324,37.95274353074451,42.28875561516981,40.78974700935695,35.4137093670063,38.78301086045833,42.068069585962085,38.03938796723888,36.62699671458002,40.54837971023251,40.27830555340286,36.00998716843128,36.28252889522227,32.211955898817365,34.84765681124779,36.91325814419074,34.70032956125636,36.6435366568971,37.92309390899919,36.09734608826101,32.74095482781186,32.781793754428335,33.143038624592506,29.20364773784396,27.376043416812177,28.024057043914944,25.754606559293446,22.824613872054915,26.568407211166985,25.95728198454932,21.184889295135346,22.730818646409126,26.54759663190306,26.391082900499615,30.000356336205204,30.266747361973476,33.99106920820419,31.466651031742447,26.954902090162076,31.5464094904123,32.398484920469315,29.03445245275553,29.273588532163654,34.871160869261814,32.973444775984696,28.695053412120224,32.26486601707852,36.14097666144147,33.7462533127389,30.459893713474358,25.791249326622065,29.41883368569501,25.390946170381376,24.491068205802982,19.671672302447938,19.561347873361445,14.998606964463137,15.628280347277801,18.707587386305118,22.331768397490986,23.607640444086897,24.394757237462333,21.78390512303007,25.4243415422171,22.286386730453973,19.28399770983462,23.28669970628579,23.758217405513964,24.245146316878774,19.929950586072753,18.119213376029926,19.57986902730871,18.19799149519105,13.29030571750837,15.06592476921106,16.73710122654847,16.502281471434973,18.582580655920967,20.940748844616014],[11.559103216217158,13.15750171661986,17.26863473275153,14.922735469098908,20.94824422757576,18.138843132993344,20.9474611288916,23.813011611031992,22.151150300874587,24.74852422840183,26.422907608960877,28.412916535740568,30.10894130405602,27.944115126158376,32.45174526941356,34.46545571766963,33.84697235054853,38.08245838950396,40.48530056868574,43.35387855527541,46.476843468294355,50.50491656878684,51.06894433249653,50.39346179878135,47.84862001988397,43.67011887915815,41.8185619482392,37.839010967689376,38.362721218456166,37.609420825946195,39.82391855295051,39.239219624677034,42.01978305519602,46.04839113382524,44.46461902180836,43.24164331914862,42.32912904945231,43.51495699962641,43.43840076392991,49.15273216210011,47.22557300081203,47.370285786999794,51.68859085174176,51.62763347672446,53.58093823086113,53.63832011976885,57.44241499993035,56.04975059258961,52.84279786010107,56.93025320037932,58.117277032741725,57.6480105762919,58.843170332548155,53.73379859079267,58.12246220562451,60.73711661094609,56.99673101551729,55.694665410933304,60.523127632638534,60.878764599218975,56.380012776066685,57.28627870793529,54.835852879089614,56.47428751755189,54.735428928008076,51.0250550432516,47.63939856401635,44.40896437887346,41.544220655098904,38.63929417614907,37.91056733760905,39.53911531000372,41.55050930457217,45.516056767940285,44.938669544586666,51.16597697504322,50.56400336645349,52.95116558358826,52.33019226194239,53.90754095225465,51.768749505247236,51.7339693677361,49.00248434024785,49.812986674120204,47.19215391598922,45.702365810695056,47.659655560580795,47.70972686109515,47.48900137285895,49.609531730013806,47.09162780976063,49.48220814821401,45.645190590677615,43.23500239072451,38.63917357596788,38.06551948897773,33.9101011513304,36.808028300463775,34.180212689743136,34.79478518352027,38.03140750148958,36.88126423856147,39.85724120019931,37.790761543422455,41.395161620233246,36.712324287080335,38.9480287388846,38.10430904798871,33.75895070158545,33.67248604681201,29.06397741682117,30.38734335745111,26.74224850349473,28.33371074365242,28.652843529515575,29.27796549287409,32.67947490062117,33.45709601700625,37.35614908643547,35.27444826644272,32.194387494260155,29.230975017868996,27.38244234049082,25.486962923699206,23.192804731454572,26.063617739893544,24.352942470206088,28.469476641686732,30.808258587939754,35.55227347278955,35.03238681213062,39.22137706639214,40.55727424536671,41.180443365006965,37.740206526497566,33.92452195465859,31.61415611136561,30.889937001306716,29.849964653048065,32.88078544938025,34.6087990863241,39.45239276126374,38.28374536903911,36.18016643143789,39.36995702488834,37.41150371130853,34.36779859194714,33.05815062331181,32.252321486413265,28.701272426519825,29.415453899978942,27.545295005957716,31.24162468426754,28.928969714528847,30.9489063103646,32.85745883344275,31.995063011425962,33.093505693280704,34.645165645494934,34.79414265926349,35.56302560951814,38.590730336040686,37.226440750851864,41.75744128185424,41.99393685987472,39.29101977812522,41.56801925065681,42.98634870955366,39.7862154301773,36.80922729716026,37.11581423465133,35.732435389721765,39.39987507375436,40.53511254623791,41.39537408785129,41.74324998301367,40.211154443519916,45.14020977662238,45.39104777557027,46.00371815793511,44.7562789893908,40.57510399843815,44.950122757987685,47.48810003681523,45.14395285676349,48.642099403777905,47.881891261083226,51.9073551005596,50.22219337832675,51.72641366786988,50.51971286464361,47.76726793298315,46.3647596610795,43.804659791783436,43.741640360317575,43.33999730007647,38.40850866219543,38.87342599014965,35.44134693643211,34.1903924418893,35.17400785853839,33.275669100999956,30.24513857863435,30.24522269786071,31.474492783397366,27.321046588156168,24.7806047591084,27.45223254700253,27.867819628624066,22.04069526010232,22.328102463169717,24.039805773558864,20.89548809507728,17.739537672429893,20.809689639104548,22.40424308164007,25.878068324997358,28.476056102205575,29.0565488478954,31.104493285503423,36.41327609429929,38.43771108532136,41.57792771622838,42.40930061035313,42.06180914404044,44.85316806118866,43.14801707960101,47.4962479585151,45.965315533347166,40.60994547311372,43.98285492452876,47.23262706576259,43.154414067513606,41.74599727899404,45.625941305012724,45.262719433681184,40.96171026086145,41.17838703415179,37.26233890869036,39.899864724652694,42.049411317552185,39.883441669797335,41.7469860989997,42.973911678135764,41.04138604713018,37.80763221189828,37.835530760900646,38.00241683995107,34.08897546863144,32.426334371531645,32.8433238153236,30.431535097235624,27.74023595518344,31.39810190917428,30.493269824200027,25.683436716941614,27.434324762419728,31.152453476465872,31.237086508103268,34.94197349484095,35.355545010595534,39.09522014548494,36.45288121972704,32.08023557064635,36.72703756911737,37.475661600844845,34.07686211096394,34.41003171614382,39.957633162081095,37.86384472760125,33.61838826832979,37.253208566255154,41.0370465344528,38.42641886510774,35.1201253349315,30.40476348609124,33.67192593378839,29.430957166049875,28.72201679804424,24.015526605086944,24.413943725049403,20.00798393081625,20.069309484458284,23.244637588575383,26.68826615476629,28.16208803214905,29.32354627955294,26.65382594244995,30.313255977727295,26.899666476308063,24.22006128153389,28.120686552617983,28.68103579258734,28.814353805786894,24.566483187442717,23.04886493110284,24.102597195607117,22.355828893483018,17.94645021723657,19.637620232832074,20.60598205874021,19.81291126373191,21.43427828717045,23.61263158452961],[15.086267105277924,16.498053390713327,20.280857765530808,17.23685479608304,23.000476354385135,19.914535910919145,22.123328126202185,24.939347471551436,22.567362951563563,24.68313527391089,25.999265394805825,28.305329677313228,30.016447017975732,27.31892703173071,31.708703773937376,34.02429049772933,33.39752094825175,37.37170256660538,39.56083260216114,42.74054984666693,45.65834175300378,49.86689608278,50.235362268885346,49.595030756043435,47.287913247487104,42.99381738277823,41.45597246099207,37.48885630688386,38.03268869174836,37.49659218006152,39.13415145399281,39.087251087075714,41.687092311680026,45.55440779562492,44.20236269523878,42.88297251239266,42.39232551976089,43.444333898065764,43.537439461717625,49.463941880499696,47.25657230310296,47.07486507845302,51.481582545336806,51.494686153446224,53.249475908771494,53.38978682465475,57.205977564610166,55.93891555602239,52.91772623209707,57.16710885046891,58.34104457288384,58.08607081932687,59.18391611316273,54.002556134251336,58.38962912545497,60.79057763002924,56.89738093909692,55.583525409932506,60.3504057171271,60.58558461151915,55.9074844989801,56.62271756726488,54.14158530100033,55.49936485151693,53.93260866941483,50.37410524830284,46.61281020977096,43.47007435784799,40.30324830705618,37.36599090955323,36.42685526293052,37.72219009385501,39.999249009254676,44.05585382852567,43.79368612788802,50.01380625132993,49.75652523470574,52.21670935050386,51.854274765787395,53.605049931618396,51.780013017085075,51.98273108958684,49.51411538688211,50.50477406223088,47.776493728639764,46.053675458096166,47.641551961903225,47.76329163721247,47.10608779114656,49.14936007829802,46.343554376068965,48.44358215256028,44.62451253153212,42.39381141256457,37.87570572556383,37.04822007603357,32.96663464909664,36.40419743028237,34.08922077652502,35.14795798263096,38.33553762167884,37.7982880245089,40.57035917663212,39.02839770998301,42.82176509942894,38.32275963162482,40.90213184537993,40.21144044057503,36.00022539067376,35.69463987177531,30.99397531103653,31.7851532762497,27.816937215200074,29.107508555626637,28.78222620851021,29.261449656226258,32.33088447535576,33.01020114871916,36.44541415253922,34.44676699956228,31.246420222786437,28.507137676310204,26.861453145118205,25.396803111435887,23.57383165823352,26.941608695493315,25.960299950881673,30.02506667435885,32.69671609778841,37.31636282701398,37.08013987757506,41.37282381089455,42.41330390823421,42.921510203260915,39.3170727710028,35.29238121309688,33.27191627223253,31.989841723282343,30.500165333033657,33.33634360557624,34.60505654462191,39.31704654135531,38.04219570894584,36.22346585957057,39.433172297551145,37.493821880632915,34.57083193874357,33.43479340381752,33.02787387957954,29.465932085925942,30.66583910785048,28.521847150123513,32.50138778399161,29.99619056961883,31.575542338127804,33.6061073693666,32.55345048304558,34.08529954726267,35.22483481748038,35.9031408951709,36.4833349489811,39.071548336393796,37.73115201443721,42.28978536522942,42.75644821383925,40.03330665580327,42.67631201041481,44.08487115200958,41.14598660812424,37.92269146942671,38.392771969060846,36.72337878664979,40.40431411246559,41.51635374984555,42.24251023460894,42.7132044571119,40.819463879456706,45.94805459235753,46.152373450289694,47.04499530331201,45.79004466658722,41.91660203572038,46.41751216194405,48.944706539904026,46.409892025808475,49.545822450683616,48.4519014233452,52.595837526220905,50.67517389546867,52.53289376380804,51.52088887563487,48.88499093890369,47.783953453039906,45.42424023541276,45.605987909598134,45.484435204959794,40.59837224785322,41.335856245328706,38.1152128100964,36.799021566861796,38.14105373910235,36.162146365995945,32.97612048115224,33.29269168392972,34.70297265811363,30.427655561457968,27.911780585512847,30.85969536687635,31.290480729187376,25.417264693053923,25.888562364043526,27.714647820355072,24.440041501897564,21.38444090211338,24.596800116812503,26.098191163466513,29.677938232364603,32.08668815605129,32.684520454213505,34.837316912449936,40.117588082542504,42.21688663576699,45.297916130452705,46.062489430312624,45.596199592018465,48.298381991195726,46.414282314724424,50.77689848298549,49.37395579248934,43.88363298875201,47.116134863257365,50.44053667528988,46.364217514178605,44.78288319445534,48.5420388042716,48.29569665741601,43.98672511355844,43.86086485777357,40.17043335094509,42.61775371250711,44.93368778706946,42.94230366779611,44.67036150046684,46.018745915966555,43.827657746960114,40.67807434236849,40.968539754915,40.934524543413325,36.89345880072242,35.542543809133306,35.97997534288775,33.45102065491591,30.950907667588275,34.788525436021935,33.798065270315774,28.973093810394285,30.987479859823356,34.742193833231,34.86682116099829,38.49528833314932,38.753965415065295,42.57534589697056,40.08770383014738,35.60373460496347,40.15100532918441,41.04333278682693,37.65534279488235,37.764825661348944,43.40040137240253,41.391143812832816,36.99802869273179,40.47354794740248,44.4013226856011,41.80177552879738,38.38340371553706,33.6098947316288,36.833860660587455,32.491243411018665,32.113021039854424,27.2854330345067,27.77776601998247,23.304445086124343,23.13767755650174,26.19161608058567,29.577095475433723,30.9279784611611,32.31644415433346,29.30891909166128,32.860024447332215,29.09565104080637,26.8231312851964,30.62254230480828,31.441140193736146,31.212371978437048,26.915269406583754,25.91348718240259,26.775315952682522,24.435495022343986,20.564543751071806,22.592232525485443,23.078374261855355,21.89179154017107,23.137914565162813,25.160276809305937],[18.251627676977353,19.57307528154516,23.062823174511713,19.648305984155787,25.00668419032192,21.45439080461908,23.061509298384017,25.613247662412906,22.57698900891576,24.27971360949121,25.11437054630172,27.59174891231937,29.460055307277063,26.33708556893463,30.45210013343545,33.04931346203032,32.572608800860316,36.261317402364895,38.35992539702125,41.77909256510359,44.53551457553467,48.90721808407379,49.14937962550126,48.643424289353476,46.533158274928844,42.13847014807421,40.85973528748435,36.89382738400228,37.31383892924516,36.881855133574426,37.85811154120519,38.28403997297593,40.615638296821146,44.34235362614498,43.28957244312411,41.980890101463366,41.883830725307504,42.953866145074045,43.29217101406627,49.39419663518338,47.057885109178024,46.47362352032905,50.9248188061094,51.1088892576512,52.72930693316757,53.03892161020752,56.830227441810656,55.59638071676002,52.83175243298091,57.23425231935319,58.28283449585275,58.20409281463779,59.13945703020725,53.90132935369404,58.16584419636274,60.40483048750614,56.410159703147464,54.98387069126761,59.664029624213796,59.88370660258215,55.02664636104309,55.46832494424033,52.90130859620307,54.053902629345174,52.72561132353154,49.28254833200012,45.19948150976832,42.0839279232539,38.71257874310205,35.66651810327548,34.60680275070699,35.550258583195095,37.98494416952264,42.16740361325989,42.120891820475336,48.2658042484838,48.390703799446015,50.828612205476595,50.762798163303415,52.73710365375927,51.19161795762238,51.706219771833304,49.43807644835162,50.68578259126225,47.939897659273214,45.91699545092664,47.14159619930209,47.21263301963498,46.17800977038351,48.011844736838576,44.96194798112408,46.73194353383705,42.92058566289526,40.829851513866764,36.44611598015361,35.32155820755943,31.383609069349568,35.276717635838324,33.28388557425612,34.69225391026481,37.90353568262213,37.97850004484713,40.61496302015005,39.62831334053424,43.68739433454315,39.42565182648519,42.32150837526666,41.88652119763576,37.83929461909428,37.2196581783176,32.508076359453014,32.82330143535931,28.564140542824425,29.684581510872622,28.69385315110173,29.176428448986098,31.84014739942777,32.576659926255196,35.438479336683656,33.38645789811415,30.164672991048864,27.635648517366725,26.409272497096058,25.32769044981464,23.910623021585803,27.790421289744923,27.361637617603265,31.381598800307952,34.328285745759075,38.74372391040399,38.922881474390856,43.236232015839796,44.057558305376226,44.317171712225445,40.70973213939099,36.50230301507621,34.93206394995334,33.137564247524935,31.292735512484924,33.819973246078035,34.78138467863881,39.26664194777814,37.767933309893515,36.19678754043932,39.32727745131685,37.29037539217626,34.544828802543364,33.46104720863495,33.40110299087552,29.790325451564584,31.370750187137062,28.875966483502143,33.01674071275258,30.264015822075066,31.405558129300626,33.600718130570506,32.455806614108305,34.44179191948974,35.22824858289334,36.506618169553526,37.061581386106006,39.173218490877154,38.05087921924817,42.54658188218489,43.371951176896864,40.809315254178394,43.75227743747502,45.27017316522513,42.6087713438477,39.152122994693705,39.66758334635585,37.666364752029985,41.20686325354769,42.17963150109495,42.67404107269671,43.1610720901208,40.880376689697215,46.13231728964114,46.404898496632384,47.56593883506454,46.44945105383895,42.83876771215651,47.523629371816384,50.093893504406566,47.42178069437228,50.173830550350694,48.74607716227787,53.05993098747399,51.03196266320914,53.21330200491993,52.44714256364378,49.86940322432542,49.113951493464235,46.942771867439596,47.33283424004292,47.49707791165514,42.672911771258335,43.59898687346471,40.60727634239422,39.09818541858343,40.773050929505374,38.60510361874785,35.33987681262708,36.07468499235747,37.5485232781051,33.1184405373077,30.85103994295237,33.99489131296206,34.25706899043453,28.433387918114477,29.19329024019325,31.045206562521567,27.543625088624793,24.758680346911973,28.194589556709865,29.686202049395664,33.27358448617229,35.730345448200566,36.177569137542754,38.35859537604016,43.62175001493926,45.77722841464561,48.78292649750679,49.3617318524626,48.76545045212949,51.32158994126981,49.215522848162635,53.63761432696906,52.44693315386125,46.83855538358452,49.88493436035213,53.37490251047559,49.3742596352673,47.587192572064005,51.223935449499095,51.227491294846935,46.94459855002719,46.41973607609045,42.89446280028282,44.99234702259869,47.431070266077576,45.54926731759846,47.045852299146254,48.44542131548567,45.96738559666005,43.000438177443066,43.51013548068437,43.18420808222252,39.0638371186308,38.09473465765551,38.46800763926095,35.79632310245988,33.58333919450917,37.59772601430517,36.464947509982046,31.653589259558824,34.02833680676667,37.81464575032933,38.042348546527855,41.55612754876697,41.645492636104066,45.59264979067957,43.32845280274653,38.76357418089743,43.2070668853788,44.333355756088764,41.002930546552726,40.90518229539876,46.643088192270554,44.83751514697832,40.33092695596557,43.61801013753549,47.728266959129435,45.25394459803586,41.7565141477026,36.95686716034566,40.28065117614475,35.92585268992344,35.73906448341863,30.78935303452564,31.150655420356905,26.54680126243706,26.439775818600097,29.338885110167357,32.74087357293765,33.864904249792914,35.27868276099493,31.880105090021953,35.211109959184625,31.114643311257105,29.13534545314297,32.64934227904188,33.653014811954556,32.9885354857186,28.788701783369305,28.280439866079032,28.822730423390112,25.972050808554794,22.753368431233586,24.987425588511947,24.91003824409263,23.332136015128107,24.16870309115193,25.99220274843552],[21.761186600498924,22.656083076704068,25.697594722689246,21.60624373929231,26.571431458447467,23.394521252460013,24.397045042185272,27.1173795440333,23.67752310349946,24.591514508790052,25.26965819125784,28.209723122480217,29.600739657596623,25.953825717305527,30.017598465320063,32.804606110203046,32.01520838506282,35.34192701328778,36.95059544925502,40.67801761369966,43.10481755962387,47.57697047039037,47.53155101177825,46.923965878445934,45.12617487217437,40.70300596595122,39.83269397699996,36.021344451531014,36.69054750507566,36.69641983608962,37.28922993350004,38.341708805768036,40.647001455426214,44.049741169400576,43.06681663401416,41.47541753852736,41.82318119261722,42.444246995074174,42.798769305167205,49.01144829342058,46.23480436336523,45.47803275311613,49.987551182506905,50.08813549951703,51.4114509838076,51.679290479384036,55.47464231478941,54.49459366503856,51.846756888881266,56.34478106477409,57.51629271091937,57.69150162195978,58.622957080468765,53.37754719154037,57.771124465219174,59.69501734125395,55.53863879554391,54.295407398240734,58.89172648551301,58.82158832453359,53.87735682056805,54.291854637014964,51.84650398929648,52.594561371578095,51.3178701727278,48.134657475598594,43.70643416809478,40.858170989872946,37.12643591546714,34.29606006202635,32.903018087679364,33.545480332529564,36.363811734608646,40.44507832232736,40.877088018389784,47.01988139600344,47.351830784741836,50.008406102155135,50.08119683496777,52.063039665415474,50.89744567742014,51.470192925363975,49.612162580631065,50.8515220431423,47.905194768838946,45.835838128071984,46.68356311728128,47.06088844340802,45.537603613398915,47.54675292610843,44.22248344683634,45.79550817070437,42.12669005523514,40.36392884342269,36.067749462062594,34.88979006231621,31.026091069300108,35.441361609934376,33.81910487502221,35.852960167743575,38.612806235374975,39.237299776549634,41.40406183147135,40.85645398740676,44.79121658856363,40.7200835818003,43.9025106386368,43.42991671881664,39.56327598150039,38.9377950407142,34.16966665426567,33.909844989585615,29.546609060991464,30.11242563869256,28.623689553904498,28.705613026869706,31.01810681744515,31.40725188803981,33.859560455481436,32.174191545503454,28.820157156515606,26.679457815219074,25.418392148014373,24.910686952012483,24.155828876445238,28.177673628339825,28.65749907319153,32.41244624984645,35.61597352325862,39.89820198776819,40.14065195099939,44.565502480249776,44.98304590394659,45.31782407276958,41.41500025225856,37.10502083215737,35.654325707059925,33.36260348176134,31.075229268699804,33.443490421823164,33.75972899193882,38.079041413836606,36.66500525465514,35.46539591438129,38.64661229058708,36.87411973069169,34.25792038627144,33.58764057940578,33.9885571954572,30.643927937502347,32.7791472772835,30.41525835957154,34.87662283452201,32.393629861862074,33.01529420830636,34.99937144184154,33.466708325712034,35.672288670187854,35.90918664115366,37.45330616131216,37.51756538732456,39.2154873096635,37.84647790891825,42.36436001306747,43.201859820140136,40.46617409423008,43.75642435615534,45.106863330026044,42.737387027704465,39.117654120479386,39.89802699606218,37.74287578123,41.392203871651574,42.487043311248584,43.00476376786958,43.78481403780617,41.29698298654459,46.73212604334185,46.72513457947312,48.13778515060424,46.78749075261525,43.624662081687,48.22108839895981,50.65045428902457,47.774140356015074,50.161968337056294,48.453275215118495,52.725749313244506,50.347350469861766,52.86169175036807,52.2325267237869,49.87521242241596,49.37212474490828,47.447216160097035,48.11041889343214,48.54236183564558,43.83059588188044,45.10858259478025,42.36133300160443,40.98933752488734,43.032273088408054,41.00075655833649,37.5268687774752,38.40048783227765,40.22263876837921,35.80874446854364,33.272657021082246,36.75853598936059,37.36479533369872,31.409395978565502,32.19337174429145,34.34241316654499,30.934697219369074,27.972131398575538,31.510093084141452,32.713696528602874,36.616152969427255,38.490911319661016,39.061200435841805,41.50177468854134,46.66936668852916,49.055682780305176,51.87888106600326,52.4964087895006,51.70684435640436,54.20215122107789,51.93792739350835,56.260202960009025,55.124790073397,49.352738347329506,52.262446061297986,55.69061580707834,51.63612280827566,49.695195517971186,53.16083198681946,53.156411572388954,48.87195141816466,48.027304081304045,44.85745867103076,46.935784541448285,49.58197138555112,48.03090392192205,49.53629444908424,51.223686453904946,48.545511643239806,45.499803813795985,46.4123617605447,46.09732413790353,41.785893001734365,41.00804732529492,41.66026089519032,39.00772950117566,36.766076199138176,40.97135387437496,40.00036246508472,35.20244693736227,37.554867339249924,41.40920110104961,41.45240817500239,44.87356875109495,44.73038811712772,48.65888493137709,46.541659358537906,41.76421021671682,46.03039053733148,47.22469652152816,43.873079070778346,43.445143562318535,49.23675420623987,47.458712204028,42.74797222270185,45.822322211271825,50.05872945017751,47.553680411249545,43.911496542923196,39.07216735952655,42.26598149682004,37.81855541902976,38.112413079892406,33.04484081129144,33.61541286238708,29.077174542429503,28.546439997589687,31.263177773146154,34.492789503348696,35.517732480130796,37.29501627205422,33.70051012923567,36.977743849812825,32.67388652747845,31.282989065279345,34.911554964559656,36.27532375798045,35.48761043222903,31.092808135135392,31.086223804204405,31.799276443641702,28.417978793690008,25.53715662429383,28.242207534875025,28.13776669158959,26.455538066180015,27.113600577793033,28.810897759252065],[22.396596291495793,23.207993097065305,25.8874993931875,21.886808310817568,26.24285358307512,22.224413595086762,22.677440545734527,24.799581085010015,20.858217905342126,21.642233980314494,21.75938716907772,24.568581990244944,26.38327826045703,22.66491128716518,26.306120173744798,29.247383726593693,28.91900479341887,32.114222793532036,34.06532790215513,37.755023546874014,40.27313439007605,44.821355320675885,44.9238484428004,44.65445691826823,42.797034841802535,38.31066564172793,37.38687986480185,33.47981827669499,33.70800546941349,33.484309239621254,33.535233500424994,34.69896283830042,36.697270514852505,40.11088781000136,39.42390731661429,38.07544751428339,38.57623360268876,39.58926462057456,40.28282875676125,46.56817258693303,44.09137892131739,42.90856340180084,47.37135447766636,47.824592308213,49.27429756585242,49.8737318714574,53.58540152761565,52.35141190974357,50.01216466326352,54.60573835532897,55.411998668464875,55.586380136356055,56.25863584624365,50.98220134086487,55.030414704741396,57.0124831248036,52.90591158595176,51.33071164446737,55.85471746279382,56.05276985452523,50.983658975953915,51.05594864592187,48.40340017020473,49.28050493648452,48.26794912873116,44.998374988290465,40.53430017129412,37.48234591361093,33.888391320987445,30.739686645160972,29.54415693739069,30.067483056621604,32.650770044197,36.941398341719946,37.16992380056577,43.19007283314798,43.77352150982324,46.20729355870274,46.51000515665828,48.7461607789799,47.63132489679479,48.56640612775951,46.66516110383973,48.2566535651279,45.494417517920226,43.05549298413267,43.71585505473393,43.76844293660043,42.172563656695544,43.77690452263015,40.406936413138325,41.76709214223245,38.0288592529229,36.20735176058717,32.03311216218028,30.611549914157873,26.888191443639506,31.428100579633828,29.99211590381877,32.123845830989765,35.03035420078629,36.093683559236204,38.30006494650721,38.222780821978425,42.537849766128886,38.748536089087274,42.15352425719231,42.10885762459006,38.44198373321382,37.34679071917347,32.708946216920495,32.14581188632286,27.562241471521176,28.301878744270024,26.276888395456954,26.75862744917403,28.708632400968735,29.58738396273954,31.52600110046371,29.371079962705398,26.215572812566478,24.05041720983077,23.575431525659823,23.101621019875896,22.398154607556698,26.93065474122817,27.471548501278917,31.244674596586254,34.58780025214012,38.54977221644773,39.434653079131905,43.71420685083093,44.1199879335246,43.95356307593696,40.39315531165718,35.96404707704132,35.23303297297042,32.62623676221861,30.293368085207003,32.20813749965052,32.78180329762291,36.79057051304401,34.898290728913864,33.700718863470584,36.61912167606638,34.45047852837842,32.0427194370327,31.087787901173787,31.613839176922028,28.10536205039577,30.360114729772736,27.561876440211236,31.99160376944399,29.27829707100257,29.518446666736065,31.67433080339398,30.220657636744928,32.823227677500874,32.914454517144016,35.065421256147395,35.47392576146542,36.77701303477161,36.01900295075592,40.322717342990614,41.72920899553217,39.541919228645924,42.89534328347567,44.64317190792386,42.486614429754155,38.696590343425115,39.215882079924285,36.6821284065687,39.88854366141422,40.6131771453119,40.74144028549172,41.29576669470202,38.46053641379389,43.856293563736116,44.15271844493898,45.73411725786349,44.81074066173074,41.7142684945488,46.610466778666314,49.21143035781392,46.34577470738145,48.43300098102876,46.49497814469668,51.041759036237146,48.921891526470326,51.57232019820448,51.23121112921152,48.74715594549697,48.590463588601075,46.76276626025083,47.50312218557784,48.182607993993294,43.541262431630095,44.80302264220869,42.30215215489832,40.48480023274439,42.80931317840415,40.394199826858454,36.98124468278902,38.47545503271885,40.15852307777367,35.54371990670664,33.6693328358331,37.23250315034676,37.36736170800874,31.65302841519535,32.945859183588716,35.007000723886016,31.227776246161447,28.85727585654822,32.797941730161796,34.07304338757765,37.84076336437302,40.123569302578574,40.197889603667164,42.54979466167057,47.67969976200675,50.131307195128485,52.793176380817755,52.97167699241796,51.99737244702428,54.21858816843122,51.63936390553747,56.088879906280475,55.338202279243596,49.48359832804437,52.10397601060471,55.86995297936394,52.04818719164618,49.8349960994118,53.17198755409846,53.69364231607256,49.51040842369389,48.1609450367099,45.02116244918291,46.43549299716355,49.113912312178336,47.55919226717624,48.65901873038505,50.28896686066617,47.27763269449127,44.58053977196664,45.66500200161882,44.91734892002287,40.600896311106474,40.34255038537724,40.8347723965672,38.02226407102117,36.22823050815216,40.626341850364696,39.474714639217304,34.773197434697934,37.63815038843491,41.514030758067456,41.72119796707407,44.907109278503995,44.517220570819184,48.63461191677452,46.91666490137973,42.09869274321518,46.20455515223472,47.82330731403958,44.63708984086917,43.99115714669575,49.9069552478351,48.59907243551541,43.83176362765051,46.63541984307478,51.14405851179257,49.016442893533,45.35700863634994,40.55574414846407,44.172173436399696,39.892361302745556,40.11446716583519,34.88944421053907,34.8766256600041,30.087114420612906,30.144458614855772,32.631599875420285,36.04791643047443,36.62380347334158,38.01534273460083,33.9053590036709,36.74704588121241,32.14817786519863,30.829749098450748,33.84282854619457,35.28319271321418,33.945290570587154,29.879219018270483,30.375830970924135,30.589589320716314,26.78201206551481,24.770373055465985,27.565791708883417,26.786316698323006,24.74723301113134,24.983299960519076,26.459386717970958],[26.530443807290766,27.586540086262676,30.60005531993016,26.509023720538497,31.172834244067836,27.620687029260917,28.18459425410937,30.493541829594022,26.55272209861408,27.064741550728915,27.0889894070629,30.032057843151915,31.672581064357086,27.669016586868587,31.15215406711187,34.23058987761757,33.70961745185857,36.54922512201551,37.9820710531474,41.96701878013291,44.11074387190629,48.737082580297844,48.49868210033998,48.069575102200936,46.59316996231682,42.119246439474374,41.627795028661446,37.911182209585206,38.394506114791426,38.50627050697542,38.172034828453704,39.81002971212977,41.66406048279256,44.83781125615842,44.31445522227257,42.80482105598601,43.64416444747658,44.3179931744373,44.979226030809095,51.307368544063046,48.41477063880357,47.16092827210224,51.660158267851244,51.973880053128134,53.08995541652137,53.55372570732315,57.27204342092878,56.3717572379784,54.071768834071925,58.70283765056008,59.72319818112628,60.11391975384173,60.83976811152882,55.582634453819345,59.76818541566623,61.47409341999122,57.23101503399057,55.85007232812008,60.28055844173826,60.19317188224297,55.062483017613204,55.08589587817885,52.54325713089985,52.98143592410615,52.07369303549549,49.105202609757704,44.27886884395649,41.53032251074096,37.569266394445926,34.64975926095154,33.09777662173837,33.11432035842172,36.14159142171177,40.33639673326002,41.1045472759791,47.010172010623116,47.92724048623857,50.49091148906682,50.998623298092895,53.27558510326585,52.484190227631416,53.46206212630627,51.84514527489939,53.39363202311725,50.482120610216356,48.07594406695222,48.467471858595076,48.740578718614614,46.7629067155834,48.41156583362275,44.80454086099073,45.84075633982853,42.23789029203343,40.696778576490594,36.71718934658842,35.09129357475714,31.593963711784728,36.48296493907736,35.31349133028528,37.61462141627594,40.46648119838568,41.755661940607894,43.82027879740246,43.873771278408405,48.0833990886935,44.29531417986273,47.70932308764978,47.50758377785796,43.8033445902772,42.88480446114081,38.191349903243726,37.575721380554604,33.03652605758871,33.48164219313804,31.343801957040114,31.442097858607422,33.18873243389307,33.61587020247717,35.23020926221106,33.54989664929135,30.282606223494277,28.531513396559184,27.852333429642194,27.821678268749384,27.508083329303773,31.880739820710406,32.75499404870489,36.42782434864362,39.79292595870625,43.840864886512755,44.455547969041326,48.84187071164241,49.09586051891565,49.18328045046536,45.350462152516826,40.93680241868902,39.90434033201347,37.21806239582859,34.64879810910435,36.65085255462064,36.58976648415568,40.54588679459705,38.92172646706056,38.060814269494394,41.0792354547799,39.22791252732765,36.886268835507664,36.26780142659016,37.00821635514965,33.656253557668066,36.04461181449171,33.30129502889686,37.72845050256108,34.88766213833101,35.10978501729613,37.334829469312716,35.83692023648787,38.501225001845725,38.416992545530235,40.59813213512056,40.70470798031183,41.859580681451895,40.78254995380062,45.14402371562918,46.36221899457454,43.82471243309227,47.37156607160834,48.79326824940874,46.715276441403596,42.93457832807874,43.75568375412151,41.324430349517826,44.77079756377614,45.69363097207481,45.94056396292153,46.689888656656564,43.80521727393556,49.27382048234468,49.392767601561545,51.074029289386246,49.926125220864066,47.046894843089596,51.792585324183364,54.25233365255907,51.27624749016384,53.241707764583204,51.186611210092494,55.59609813134768,53.1121727868611,55.961534822896716,55.594127140933395,53.328894275977255,53.16890668418598,51.43704785117766,52.27529478758115,52.93869544062243,48.308890751080796,49.70120416348849,47.12102088656983,45.5859749538213,47.80687355649592,45.60007485026739,42.141271023778145,43.29458046577879,45.06266070766076,40.55164915233847,38.27492569116934,41.77658986698172,42.14694189500094,36.30174126664534,37.23709397071768,39.271292220791196,35.69494803732602,32.96863446747609,36.531241985310196,37.85379479504683,41.62470207921882,43.711942205750965,44.21691869164881,46.579663564628724,51.77586407494709,54.078695140980884,56.956052620659705,57.46045036228386,56.65975981038414,59.068751250943734,56.68816363577675,61.07644115989799,60.086469631007624,54.28575784943008,57.08040890338921,60.636001559849866,56.65132779410084,54.59970114727097,57.989181698584595,58.158331066258825,53.90143071690764,52.82035289679997,49.74438753037615,51.54561471327553,54.24043581341334,52.706945313957355,53.99969702689476,55.62672802765551,52.76006931778339,49.933756531380595,50.895957909830464,50.3033829359015,46.02564007126401,45.525567109652684,45.99093569587438,43.215101367449336,41.259196910743384,45.4889337533009,44.305041218505615,39.53966217879972,42.17344825790147,45.995019202185475,46.22146701341682,49.604581998278576,49.440452185591624,53.46286600530479,51.44250443037,46.70722153372169,50.95573976650297,52.275523552631654,48.9650180647201,48.507127626703365,54.33539109425163,52.65206687933856,47.93329690777415,50.93796315351841,55.24129769585983,52.78474184088581,49.130483891223875,44.29235974186124,47.489101565107696,43.03395292751676,43.36267575691062,38.29920568570373,38.82299046349742,34.23111864274882,33.774605033463644,36.443858779465984,39.664874657697034,40.598323070103355,42.35925192707518,38.57123670421841,41.66965547683514,37.18568264045193,35.928909832708825,39.24376998154847,40.64099733138703,39.496715013804106,35.32861462367806,35.57180599007295,35.92259431823901,32.34238964990441,29.96756121188056,32.57860638715497,31.985705707611874,30.01274766800655,30.291417294746957,31.743191871937196],[22.77326480438509,24.318327314831322,27.876394708719857,24.455852027215634,29.678681437006222,25.923194566287993,27.22308225258778,29.501400512560704,26.032543920101652,27.4190379571768,27.737052446424592,30.24895127911568,32.35279732278615,28.87254590993798,32.581626306404594,35.45463928151601,35.164568697328065,38.48557790391,40.40569069054489,44.08824186615902,46.603859781144585,51.12955381105924,51.179199805389686,50.7683014202862,48.940112255582974,44.47829213096456,43.53326664418867,39.62922195791025,39.95385048529504,39.63306896199949,39.859597370087634,40.776987098915626,42.744671162678536,46.31352959781921,45.63934038392019,44.379648055449415,44.6877853899203,45.773864091321045,46.334741001613565,52.563658538388054,50.06458888164107,49.110903432602164,53.587281350620444,53.90202061439456,55.326663119857955,55.74819687413034,59.507748071212376,58.38476460837589,55.85427728237829,60.377237319628264,61.36540495585581,61.471610084671866,62.27426210137233,57.008336472340545,61.159084483287195,63.21388994911747,59.1205753415673,57.61232579793621,62.17814709888479,62.34958073122093,57.325402687948426,57.47053507034521,54.82728603769321,55.70009149108351,54.65704647491841,51.39364152192072,46.93889448927417,43.91185652467895,40.292858142522256,37.17252895984957,35.93883486373638,36.356578669459694,39.02404217267776,43.32198217068002,43.59055020309636,49.577197424356115,50.19761431532983,52.58139738776401,52.877705041553874,55.096487581742004,53.85599447251645,54.684218172841376,52.6081195408178,54.087241481357005,51.33711478186378,49.06134664971127,49.925089692495966,49.93508806650023,48.515051839880144,50.073173136891455,46.765574196357456,48.08820917473001,44.30743358875417,42.3857721881913,38.235891110208996,36.70699796877582,33.04077136734138,37.371308062506216,35.73053718165735,37.32508913454174,40.69036763611153,41.28444882882436,43.881824294390555,43.345076297523995,47.62747765238366,43.54695625465391,46.607214500816546,46.341716255483625,42.38186547974792,41.57895133683143,36.89964885666853,36.965569064510916,32.55029627900678,33.545207820885224,32.041598054119895,32.472544874151964,34.725964950425144,35.41309801247684,37.65931883752131,35.66567068181652,32.441025017885835,30.222442811183527,29.355546109018334,28.693769887743326,27.66603989780267,31.82921658273325,31.756904275779323,35.724823861562854,38.80231279252516,43.091418173197304,43.474977046423184,47.79290710197973,48.488774362763145,48.62665637496427,45.007600098018266,40.71063545304349,39.353715049500266,37.257488406211294,35.142772500219735,37.45994363806612,38.027552376598635,42.29878278336823,40.69744834685944,39.41470473200661,42.47948771740202,40.42181369987216,37.85877994493151,36.85390883857727,37.071978655234204,33.436993037827776,35.222534599434795,32.39778872321883,36.50460729978552,33.361496360403386,34.24362298661878,36.70513910437758,35.61473680414435,37.980334842763966,38.532598613015836,40.30469301709672,40.863312522696354,42.57645221159808,41.60358070859874,46.03193565002656,47.09421634172091,44.57675359595621,47.75330963138503,49.25278990279955,46.78697077885643,43.20624239258992,43.822046330972206,41.64209517506847,45.11340159751073,46.00543629555205,46.32663493740533,46.81290090743816,44.220759008659805,49.528171926329144,49.88709278406323,51.257234035570676,50.254679248430456,46.8529790357236,51.64120449593526,54.22077647293808,51.453407594501556,53.908699074067755,52.213925827029726,56.61836864627158,54.43996389748186,56.898123688847825,56.297834380576184,53.814205389516516,53.28111321708206,51.24699794098144,51.77025570449079,52.07599728791869,47.29214234000477,48.3110190022081,45.39447271393206,43.829820623926246,45.57498744099235,43.31855800190388,40.07209906764168,40.91095137864243,42.33096853714771,37.86166620741396,35.70459352886466,38.80305794862157,38.913106766757046,33.17600011898731,33.9373207850187,35.6464191076016,32.084965268975914,29.415346810709323,32.7041114354821,34.32821280426832,37.753743517227164,40.36907041345458,40.900019119653855,42.98249311846534,48.28544314651199,50.285722658269925,53.42691865479908,54.020073344170925,53.50364152412112,56.05775135684013,53.94988930329039,58.414657173409275,57.25249790675238,51.667039354223306,54.695571275500114,58.22256706082575,54.23268074085412,52.43266282142192,56.0482677250495,56.071670441833774,51.786443354293986,51.20411852243942,47.73007962223147,49.73721229688346,52.19444243626158,50.29139455460565,51.67864104310762,52.98869469926206,50.434351570972794,47.61355162444973,48.0713163246486,47.568079984420905,43.51524968766265,42.67554331041641,42.8499624583058,40.09053167897472,38.07446412221507,42.01777745384466,40.67800206711271,35.890202046884745,38.41808200031554,42.13200364645363,42.54243190521113,46.091529636965646,46.27018609531692,50.25522844337215,47.95316571415023,43.49197730242717,47.979611992638695,49.09439858209189,45.7661752816129,45.74711542666273,51.46925347507691,49.60958208928868,45.145831823947866,48.466518655961245,52.54012915737351,49.99771428393546,46.51318880944248,41.711132713294454,44.90237075021037,40.49194689191293,40.3223572108873,35.45515770403451,35.94701001801738,31.37846147001088,31.181519287760153,34.11140523833268,37.451926736196334,38.632607798285356,40.12605208358337,36.69083046657878,39.96928387447022,35.77011086427677,33.87393150899524,37.217230834635345,38.201605983730914,37.3128273428406,33.28298369600132,32.86959344468343,33.13079798057829,30.22094508873927,27.31037367409098,29.369254608610994,28.92383499349019,27.116055633367885,27.643786412909666,29.260550010412118],[23.489665421719728,24.865356022927184,28.41418354355317,24.743000419517262,30.116184928893134,27.04114180173846,28.437362259514867,31.132509124969975,27.850703506994495,29.03090046938648,29.659201353270486,32.42722592539512,34.064737466583004,30.475115562193434,34.449986241315365,37.27069487319475,36.57601778919982,39.877974204756654,41.441454041267605,45.218161036709645,47.58533406497301,52.07608329257051,51.95633338749333,51.297731467036584,49.58864800061215,45.174072927293416,44.37095248064912,40.58192564129359,41.26106458733411,41.224288967404625,41.71854284305145,42.748579578050446,44.94102880665289,48.3971967786439,47.519158991859655,45.9998475782214,46.33592308326832,47.017333000783495,47.35762971814399,53.55742601748929,50.743175857723074,50.022853619784094,54.536935247178555,54.59596338750345,55.857922091713554,56.05252179863212,59.85857690634517,58.96941146325395,56.2744778166325,60.750165375857904,62.00738066551452,62.18717360920336,63.160259607017736,57.92115726812729,62.33793573826939,64.25789557335783,60.09136987598204,58.863469217512936,63.45264417009623,63.358881688154895,58.403703474176275,58.78391754135198,56.3227667665861,57.00369663030064,55.783438582248,52.64741243519843,48.13905611142181,45.322265137305415,41.52772651395994,38.683112740119846,37.24009889859755,37.690455844672194,40.59722299327562,44.716415428893434,45.238325703208375,51.319469075420784,51.79766201320756,54.40733127409842,54.56750060036371,56.60244745871331,55.4373332335345,56.028781958456996,54.11479297516489,55.348300949586864,52.41704461134867,50.37772799243059,51.25311431085334,51.581779324412885,50.06868823075265,51.97430759410542,48.62352453972867,50.06325041523624,46.373743372881734,44.591155992917265,40.36501994406374,39.02018264180825,35.25450587860524,39.662864150725554,38.01303586692682,39.79030372585821,42.85052528464922,43.33896094441353,45.7219876645697,45.025835793667035,48.9960654235744,44.811352724036496,47.82355771770497,47.268611221234224,43.265362486275464,42.764166779580684,38.00154111455572,38.049717027557314,33.7608500596049,34.459044414357386,33.136816849177855,33.20618305641643,35.56762342507058,35.861440611955196,38.309387027784666,36.71048662919543,33.341715606208794,31.24800965088225,29.91244437209472,29.393171999349203,28.540120034332496,32.40633930525018,32.59320550432494,36.429270060764836,39.48868844835223,43.90872974697981,43.9115984482149,48.33862953683713,48.90020310942495,49.37864290026267,45.4606536929581,41.22638927669515,39.47818733934362,37.434337363321,35.23503215176704,37.75790545014965,37.990203384857736,42.37611281152602,41.09923670897317,39.92189143258962,43.14920762791937,41.42478121050748,38.778372224323064,38.08282631323901,38.37044077858221,34.947159114549244,36.853313752361075,34.38625679085654,38.64479094763584,35.82868201552843,36.74031667831773,38.961344676021,37.652950412544214,39.82207670546655,40.26711646667518,41.7251176620589,41.89284474865674,43.7204175601752,42.28952176662476,46.84201517943782,47.5452537817973,44.65008959336696,47.87391997670567,49.07153660106065,46.57591582016952,43.07209660644896,43.922410375977776,41.93957171444598,45.700105986533714,46.86042196027128,47.438523640650544,48.16988799154335,45.74503813624977,51.13422264803086,51.1914743296742,52.53055483629601,51.17259067243427,47.886853182519864,52.43815577671178,54.85334408475039,52.02154348294032,54.54695342836008,52.91904984371857,57.12193524343918,54.685075439115735,57.14506577186161,56.40528082945209,54.07646421997118,53.40634138907555,51.397894498898566,51.95943161479675,52.199313163175404,47.43101306141671,48.57722493092221,45.60991956781514,44.38084172245162,46.08309020007982,44.13470964577082,40.78249871140711,41.284102968665614,42.92520395128424,38.614830421773156,35.953404822132065,39.120171554474545,39.677481141865904,33.76886098180899,34.21977954180144,36.10715016906312,32.851368900678956,29.754365463200557,32.81469765738298,34.249743600305756,37.88027903147112,39.96785670318332,40.84816356706798,43.09024842900058,48.34770681484734,50.41245759476485,53.553049937085646,54.435370946369154,53.946613120078084,56.63955615983839,54.6685897216796,58.99553678783712,57.61599138605242,52.03085329477715,55.17588473043847,58.45337065769683,54.30968710227437,52.62563934339376,56.242994839281735,55.935390669136666,51.60493026152275,51.21990786802881,47.872975865338994,50.279309499909544,52.788289830891365,51.02914403467734,52.6781159921773,54.15136499179886,51.734597499008395,48.65690122392905,49.182390450494566,48.97553428320944,44.84893500118469,43.75940694389675,44.17739343006013,41.54892513453681,39.228442788045015,43.124613495555444,42.00376256430183,37.18523127376202,39.347397647207664,43.06791683386495,43.2690056313457,46.9049971987924,47.12634356949558,50.96651319733768,48.48981533810668,43.97312610582451,48.46225147755678,49.337114170512514,45.91139120894979,45.88782438381866,51.53021636396788,49.40150500486275,44.9102700881257,48.29659647734675,52.23489790401933,49.461985603999885,45.94903549911607,41.13821764655782,44.00704256720851,39.490520573382476,39.54371467209402,34.76476644827439,35.68424697466223,31.337965320707735,30.633250526893036,33.60373908547805,36.73888102927185,38.146630134706456,39.99134339368621,36.82642980367447,40.32670235786232,36.26487984622469,34.554001006566494,38.304833248499754,39.38816313632129,38.81008101841995,34.50433408296349,33.99010581812082,34.65799252927893,31.797851594166204,28.50571578063815,30.713691492300278,30.716714701023058,29.12436600755983,29.86523546397068,31.58379409414684],[18.332771337381295,20.076007972608437,24.09511298487194,21.20249403865565,27.053215082744963,24.092636362300308,26.285534888630135,29.044784528807803,26.508000993571237,28.497397205131662,29.594372867428195,31.946960016765953,33.77995729253498,30.845100675455498,35.10285620691432,37.58664931385516,36.98512168430889,40.78535227807104,42.78896690476024,46.16783794429282,48.920738066138746,53.22445078302635,53.42702601672372,52.742840982115986,50.62919748746028,46.294453140813424,44.980247352273,41.060396804388986,41.6572216559146,41.23243229790818,42.52434963868488,42.74541807805199,45.183838768738276,48.98898775505493,47.811907062909086,46.475735773056485,46.18848943534299,47.17501404358134,47.31741893231733,53.3137856060372,50.919144302082444,50.632110746656636,55.08137695278896,55.072047918869394,56.66799187987607,56.76942514865618,60.59804070265422,59.483275607327684,56.50200177924878,60.7954115494274,62.05358309167569,61.90683257335695,63.00797554692336,57.81127970493653,62.232679845533696,64.5170856320651,60.544226868469096,59.26595154522426,63.99458899679622,64.12991222581451,59.37146990651623,59.99370589624812,57.505650327997245,58.66034815163269,57.201139615700576,53.76560271153651,49.75765503130105,46.70463455601299,43.320842242447036,40.386413083468014,39.27712572708559,40.26047614810614,42.768925468256676,46.884046147104215,46.872701712175896,53.052853869305544,53.056835115911596,55.53740599861997,55.35091767008611,57.20303364998662,55.537476893449764,55.84186905013609,53.47587612589578,54.51763315475267,51.74198136094376,49.96262246629265,51.3917744380823,51.54343922814445,50.67528772257125,52.63478851178543,49.668773274959065,51.537363345843275,47.72419718723532,45.586253461768926,41.16283470821321,40.10287540304006,36.13396254343751,39.842941052855664,37.67990904215523,38.775641073033825,42.11453921454033,41.75819097884794,44.56012628148867,43.141553598625215,46.989963193251135,42.5050322713375,45.07681760380804,44.36095497726767,40.12783086278134,39.86296826679247,35.16968791573166,35.95197901838829,31.95500356725252,33.1478040804804,32.64280416932073,32.98979134419356,35.90781622768111,36.41890440463808,39.61590004150796,37.77002307818277,34.488307769566966,31.93657360701487,30.311811322604314,29.11153308812704,27.521206952627477,30.933635447052428,30.117068301041762,34.14695745673586,36.82028739534268,41.46403382731265,41.1219351267432,45.439926443251295,46.44698153614799,47.0513398799012,43.35414926136034,39.33300787068295,37.18566613792892,35.86037427319723,34.22799106699071,37.083302620989755,38.016298569397826,42.70378338262341,41.515830957220714,39.875605627112044,43.13095805812656,41.28228227136375,38.405417699677514,37.37998221568271,37.096347559811896,33.53212269375884,34.78637594872245,32.50001975939604,36.418155690863514,33.62443837163834,35.20862136995144,37.43588691198951,36.451138821062784,38.12783393453201,39.206950271906436,40.03330812112426,40.55738195150593,43.028453651777035,41.61178240737226,46.19917336970609,46.63191995648276,43.75195969431486,46.50297313690079,47.750777946481975,44.84234617312823,41.626494853013334,42.24723490691993,40.61248444295922,44.39216487822887,45.56570840777551,46.29886741305325,46.81218907169165,44.824522287436615,49.99437018135723,50.194658281535006,51.15240485596971,49.85722295100356,46.0615140521513,50.53379984922522,53.01642325219839,50.436114424508666,53.50922503899693,52.33508218358591,56.44885925871895,54.35471211263914,56.32646404180147,55.3051765501554,52.76715033067816,51.66089767881924,49.33697946690985,49.547785155551104,49.38621762570203,44.50532249463091,45.258825262365065,41.96334075613,40.78448444027634,41.97400065840802,40.08130026352946,36.95362218429479,37.045277902463866,38.38276378303436,34.209475745676144,31.57125940929974,34.321196522876676,34.758624118040366,28.961010300631806,29.161751487916955,30.792012986051603,27.680877130562813,24.534036397450794,27.285939505454245,28.93300013515753,32.29523523734168,34.75975013379428,35.66960341749925,37.68722549706533,43.004105572728584,44.84675112018171,48.17018915842595,49.16281938281407,48.91280270072119,51.749110070566715,50.06544011527551,54.403299858922985,52.82997580827934,47.47228851298521,50.84021755857848,54.028190960664034,49.8821823237203,48.46703955958634,52.2848741373558,51.80294275344393,47.46834084701721,47.60686188424737,43.89741819970466,46.56385543607119,48.82479567924682,46.757774131271546,48.56657385232809,49.79479398592393,47.74394368752386,44.59756745996827,44.67386852175856,44.681901262281215,40.7683798429725,39.26455986836151,39.53208257534168,37.01493950251711,34.514590773596275,38.11108827293641,36.98923101481004,32.18467246384663,34.066534587158706,37.68773288184597,37.94352618684179,41.716675499804026,42.233404409887896,45.97182923732216,43.22970615706417,38.95255271078558,43.623114232828605,44.26702135346437,40.828913075270805,41.20046081241635,46.70143285841088,44.407336886894015,40.169843604198824,43.83568603026525,47.53256096914025,44.69913928701354,41.36395713113767,36.62252066915387,39.49807531219641,35.07430062014086,34.62990634244159,30.06089100318136,30.935852189881174,26.69016774487721,26.230145549199488,29.42461317628329,32.646223985904015,34.28600377567751,35.843663838291675,33.12642393131432,36.8018236932952,33.14892814740989,30.83865705475206,34.68904760744279,35.38041435224749,35.21351503065824,31.00240887687567,29.788617247204638,30.565538688536854,28.468442923352587,24.51919988822778,26.212786243209074,26.64529568256886,25.429100885387065,26.582165136227786,28.516175741308366],[18.646756152743777,19.337028746315227,22.523159009092478,18.504158291938207,23.988780791656644,21.94831820156077,23.648353344277684,27.00568200250945,24.44903892628443,25.69380063495339,27.18093488295157,30.099200105634168,30.976952147026996,27.774644889094244,32.38010504653896,34.78204224539303,33.52309369911821,37.21276344997862,38.70614501551197,42.18559532418891,44.72877516312512,48.966641523922405,48.976394508848415,48.02480782898865,46.0419821032211,41.776687646978736,40.66156024644994,36.921812215360895,38.00009248501203,38.07403866449089,39.68820700375008,40.22273793576636,43.01955612383846,46.52877358027403,45.02849352763465,43.24243485069903,43.11659370949896,43.427730320060064,43.31589298087816,49.295618156450566,46.45150995375191,46.37458334228364,50.85878351976664,50.560793711803925,51.94769797915056,51.84061569892334,55.70490866429401,54.84137663927503,51.747568373735724,56.0232233927016,57.54561260063414,57.55131238972766,58.807998161271236,53.64737059147333,58.3885784729513,60.423167946918326,56.3408123826259,55.4355695667861,60.161860046190505,59.92843283531037,55.25899581439975,56.18823898382442,53.97497491410562,54.86601465868174,53.156659170815004,49.90465752056853,45.8619289478051,43.1113624938097,39.535447690507176,37.022077248965445,35.66099126827914,36.80892113002753,39.55630403439186,43.36009538273632,43.66276760035884,49.97263351651862,49.70971554222209,52.54750968457671,52.14713667234735,53.71914415307623,52.25191215849681,52.26763379533266,50.27895070237192,51.02538287594913,47.96354239995805,46.43444246819478,47.74402498661402,48.41139475502812,47.29708968788373,49.81249811729542,46.76791748986046,48.848233015715905,45.22254292275733,43.36461872198135,38.83726553828039,38.15323537543427,34.029017727790645,37.93538702336151,35.90777197253287,37.659925681695974,40.17668171369566,40.00822359202608,42.16937576547982,40.85633010196054,44.238788450896145,39.817488520749365,42.609451818820965,41.616069290386406,37.5417367886824,37.51149403545477,32.692128178029996,32.93309575664496,29.00116045756821,29.518623604753717,28.968288832601992,28.772571751886048,31.691805648576125,31.725549831820828,35.09168583159954,33.73950480470566,30.30863700758718,27.96566724912167,25.811754674122145,24.91320495363123,23.795764731469973,26.981932379274305,27.07160317707762,30.75847121545634,33.646929681436816,38.263911103847896,37.72788495861518,42.22415996818332,42.772587812595,43.666278942418856,39.51940763408073,35.46333617398096,33.169610954875104,31.50223774627839,29.55948529520508,32.48340511857279,32.93579779175645,37.653572829748406,36.7596372062711,35.31330936681827,38.7239842345875,37.31371605240253,34.40841816250869,33.90520518028996,33.94666245766978,30.823133584307936,32.6269391853948,30.940030403202105,35.34306369243925,33.38873153722832,34.51396650103359,36.13376492393272,34.54165239621504,36.077201791461796,36.639291779917905,37.24251957614561,37.0266678364373,39.38638112459008,37.401344330639446,42.099763059390945,42.22761660515309,38.999552060643516,41.972414301919095,42.96247248967293,40.22987944957449,36.93377688431373,37.850425642285984,36.23938524389237,40.293308779006615,41.76484497015037,42.757788346897144,43.70723757529874,41.80477599495744,47.15764387555146,46.84168019860941,47.91160125770437,46.123148326448614,42.7402991397683,46.938071728201,49.19019883651441,46.4218643279507,49.326007417773454,48.07373961335835,51.9954909238982,49.556837282435794,51.67547963107822,50.64112262990842,48.325298421566494,47.3028677295407,45.17374817444403,45.62977304896858,45.688525053738466,40.91626949100087,42.10123115835127,39.07299937334067,38.196132902312975,39.866525569552884,38.306758978107275,34.822996441535885,34.98032807336163,36.94949149265861,32.85076015400269,29.60995878815366,32.98345459355326,34.17986689460062,28.053592152588607,28.286786642273444,30.60125535408442,27.72369103995058,24.136179617260765,27.261172965856996,28.236469019068767,32.344646372876475,33.621729230277424,34.6343944494356,37.21170141857315,42.32230871351657,44.74074896520917,47.59351440351324,48.62662313512425,47.96837434786501,50.712619752524795,48.781882274960225,52.91295184702196,51.38785657221908,45.73623872142786,48.92097842351605,51.965439774303704,47.7079865217905,46.069612480696904,49.657352253761765,49.120227499536774,44.770852179999856,44.49738944431645,41.270808678813694,44.049902586339584,46.612931994719204,45.08618882479799,47.0495616383148,48.831965037039716,46.56548986757469,43.1174391899236,43.88363701999404,44.12141890809058,39.83303853757458,38.46870109894703,39.4170537174268,37.037075292563124,34.25976853577331,38.24687511950428,37.63351994778146,32.836049090509974,34.504587390918594,38.31869546756728,38.05177272605235,41.62329298219888,41.65533947883094,45.318083709000945,42.861319247561966,38.10966375143003,42.44383642706715,43.20973884261284,39.729527626769894,39.469326986587184,45.08564362349985,42.89378421397516,38.258313061728025,41.55570627265418,45.505909921701495,42.69262909527308,39.0929793987325,34.26562644728177,37.09969460408564,32.56125928488943,32.90457683961783,28.002903838992427,29.08454957897434,24.89037761707748,23.793284730525308,26.68090520705634,29.712784193662138,31.156772565300958,33.233550549029395,30.2653219164088,33.96296350210636,30.126365137513854,28.62460790403309,32.89786728384166,34.17092653817312,34.09627833882398,29.374163789310593,28.815736825282055,30.21160276442156,27.376309609661213,23.55900956256476,26.22065137522311,27.048127487880038,25.93789982714445,27.16830091497231,29.140231754814522],[19.392381206946308,20.67820344342771,24.487893680111732,21.376114248268042,27.302779146125676,25.64675756874215,27.996287980629415,31.3462764333186,29.25373037004587,30.963296339173517,32.55798173126778,35.203047740125484,36.31718392628637,33.372046922904666,37.99509381527981,40.31368437918241,39.12404887320134,42.9360012279937,44.470959452145074,47.86887302777677,50.45297762241619,54.62423246579082,54.64175281497677,53.5808508577486,51.5709213234207,47.37129168068632,46.17536594371444,42.45554296006001,43.57046831126454,43.5184478979853,45.342968285907254,45.60185645724479,48.407275804355216,52.066630883354826,50.52814684799454,48.83256903109387,48.48195296491899,48.8811278239161,48.63957831104062,54.49146502015339,51.710129670399866,51.88260788912709,56.33781104348902,55.915055501450325,57.3224621666573,57.052359918445525,60.929748911284285,60.13141993921594,56.85453786876947,61.000081053772504,62.67280153803018,62.57325696586495,63.960297780744476,58.85206352906671,63.66397884336245,65.7977701838307,61.77424604443226,60.93340662046849,65.69914275071373,65.46634496065434,60.88896933240683,61.92452245017881,59.7283821917567,60.68405870034478,58.90799257608765,55.626336089096995,51.6779940938411,48.91735080615633,45.391475324422125,42.875297073222725,41.5420777377499,42.68086735739225,45.42638337700866,49.24275807806329,49.49518996148911,55.801131293893576,55.48561003169419,58.27498447494345,57.80755677907697,59.323339007881756,57.69157830338658,57.565466584313526,55.39532570936597,56.00185343071271,52.98857188190973,51.64894650823131,53.18722134968206,53.80634748675116,52.918459768367185,55.41614026040205,52.474384504300915,54.59728394621625,50.92117195352814,48.944903096382134,44.40358533243258,43.67798344755318,39.560885790118014,43.251093167764665,41.030326462602915,42.32866596083016,45.17099534706573,44.54862508110137,47.01999834556056,45.2660469482429,48.53535776592874,43.898135139970016,46.297347481401395,45.08227933919202,40.81192652616987,41.091478792674316,36.35887205657492,37.19131965878327,33.53187057730879,34.294210549368415,34.224094490819155,34.05558034460342,37.18935112213758,37.13741395718168,40.754832401394594,39.47255699179125,36.05108808104009,33.64380448983364,31.300337165651204,30.213104487580782,28.810432566644877,31.56615262782261,31.036814344584194,34.770057626848974,37.296261712591985,42.110526312524804,41.08130432316059,45.50544799573628,46.34553505476444,47.52957621027589,43.4231047475983,39.60587401509292,36.77260595964654,35.70068974241431,34.08453511144735,37.28372817372756,37.82726099441125,42.6908720867925,42.044471527402145,40.49089148008056,43.95900960241914,42.62917860256302,39.62319586528402,39.04080022139236,38.78138556633055,35.60514526480652,36.94873856645464,35.30958880927472,39.37116929017415,37.177009725286986,38.81949522213219,40.62047992387068,39.33374937898996,40.61259314792021,41.5811758651151,41.80374544415443,41.743529942332536,44.471379090058626,42.350961025504205,47.081399260767874,46.88201010095957,43.435473982078236,46.1270641015275,46.88001670594624,43.86716122129967,40.88317755315981,41.83205207738145,40.61503094888291,44.81226129413313,46.40635759597577,47.57122025887406,48.43760625186977,46.81046132105147,52.021404765040046,51.757370794277485,52.59294382993508,50.74602459494805,47.09634121733088,51.11537054937179,53.315222030943296,50.70177679918739,53.96146460228678,52.99597001686234,56.73528525845313,54.31902557452733,56.17117685718302,54.87565516163231,52.56801983446675,51.16064010009453,48.84082741510415,49.048281597424065,48.70884715260494,43.89111395407221,44.78995216935618,41.40448422027352,40.830026107036126,41.86881447311475,40.552184138698664,37.3184048144939,36.772092208885745,38.45433825364256,34.66096601157974,31.17831956541876,33.95751959785789,35.200859631747015,29.243903903357396,28.851984446147537,30.775476858158246,28.337737994267272,24.492502338223712,26.717740805146867,27.94630395622667,31.632225951182903,33.060922102312,34.592592430269754,36.87290289789844,42.03235891873081,43.991737932579724,47.25747868752637,48.74877597932475,48.54789705232222,51.60256772542028,50.18864530990975,54.24182180235452,52.29418167540542,47.00424062467207,50.55628568725362,53.27656509885932,48.900566406490796,47.72724636588408,51.53545586035504,50.4696157918704,46.093500937183016,46.6404483611067,43.14389066713571,46.499219122386364,48.79428298080728,46.974616010796964,49.231078069351355,50.718068292478705,48.953251189574466,45.39651844078817,45.569005647958875,46.11308566577067,42.13858901480282,40.20064161681727,40.90465488856364,38.67860861042775,35.679542952640006,39.11818097183089,38.43665396578065,33.69442630078661,34.853206619439824,38.417907674635714,38.26432297537468,42.12218666100782,42.70091737192683,46.12284706228216,43.10763283755129,38.7922932647659,43.398167018964294,43.59937107978742,40.03133792213039,40.40800739716064,45.69382227003125,42.94146413874521,38.71805436616078,42.48287442389053,45.8869116960353,42.67247166161794,39.333594209751524,34.635901584166376,36.91142271135445,32.35124031281836,32.2634542764562,27.937432488208774,29.583407580968984,25.871274918376674,24.494751028926995,27.72306603798016,30.521966313283286,32.58356758453401,34.699247514561065,32.57622760664525,36.59104545634169,33.311604235889746,31.30746470388104,35.781745646229126,36.60099170555175,37.00773151977193,32.43328494643246,31.033231411107945,32.51870843999962,30.605899630534115,26.110596072647905,27.992085724688323,29.223322125046035,28.43904182981958,29.9334505650914,31.988744231898718],[19.762044670088855,21.456927443450706,25.600203562224607,23.190304740901084,29.2763851706268,27.654243385178333,30.370163174075287,33.59914789988356,31.782166291874073,33.84068713840425,35.45722099978598,37.85959905802591,39.221343286989985,36.493021364433424,41.08629862728045,43.3428325399464,42.29787206653515,46.22372088015258,47.912742152503284,51.2120780601741,53.89334504936347,58.02589594265929,58.120628110331836,57.06734692335596,54.974649934230655,50.800359891138505,49.47806893958088,45.722800279401596,46.75599654730653,46.52855251253462,48.46814312349956,48.47785739870029,51.251750886968495,55.04934652154702,53.51611846098317,51.95426380190683,51.41848947047067,52.0016876109602,51.73325057077809,57.50540648921658,54.88563048913806,55.16472915033679,59.58988697919399,59.165560735056204,60.660674484328574,60.35935765243961,64.23210476041503,63.38170648089747,60.02685425139638,64.09648619509545,65.77334327037065,65.56540823357933,66.98850109398019,61.90534406265037,66.68104000982477,68.94098350187105,64.98774285568172,64.09938023401348,68.89399365293005,68.75789601211986,64.22706981799725,65.27769045618204,63.037464598666254,64.12309538680802,62.3372211051446,58.976270142916135,55.13321435586411,52.28911521667997,48.86671902060893,46.26921525347721,45.02985014141642,46.20142733779922,48.85474024614739,52.72732600144374,52.841449390900216,59.13202261680707,58.78368458721047,61.475935393342894,60.97684097201776,62.49519119262937,60.70648485524146,60.54104766365098,58.184447214608916,58.76407210166839,55.84480637432176,54.56733538761572,56.27747287077983,56.76722503597459,56.0866303380055,58.486841665351534,55.64782165429336,57.801933187485616,54.06512469090547,51.95941438782449,47.41537016530961,46.651111737264074,42.54834474239358,46.03544251257255,43.670362843729706,44.61119371039593,47.72369391014712,46.798624107016295,49.531628777639256,47.51056903383953,50.78416883293345,46.03742332534901,48.17822778645816,46.91050609984114,42.53524051153117,42.92434913352932,38.29129464842315,39.518812130053654,36.009358977888844,37.023346352137565,37.22363934163567,37.18940795939147,40.45150147365623,40.48203680432512,44.23839006540724,42.864304246032646,39.48686805736344,36.97329954117802,34.631852555658746,33.35727627100393,31.70582101692889,34.28274392345503,33.26737021022359,37.06443149195474,39.351573628116164,44.24063274280434,43.020472624260876,47.34322869475353,48.43172819869471,49.68503663582683,45.72299399465954,42.04790823018633,39.012730917726614,38.31494350220876,36.9486876337257,40.25382271915461,41.00350112435034,45.93378189652338,45.329864533053296,43.65027842676942,47.10526314059505,45.71379367774389,42.657633612864466,41.92091715841732,41.432231369559595,38.16650410045318,39.16695413319617,37.488934854178964,41.27339636930178,38.88258178720731,40.86141991964255,42.80981298338753,41.777365561958774,42.91526569585562,44.18962341890305,44.22922519277044,44.39479970243325,47.34501640999582,45.28385691885823,49.99646259433854,49.7004255111345,46.25356799055151,48.730247491830895,49.44879463436672,46.25954915163356,43.457504402088915,44.32740404434148,43.29839598157098,47.48226001071007,49.06409617194204,50.2627047908096,50.99322701704198,49.51429810745393,54.59875877055207,54.46067485893277,55.13775496312369,53.36870693496049,49.49417122608501,53.46846023897803,55.69109650801625,53.211628585172186,56.69599791393418,55.912088989372606,59.59990338911037,57.305442389316426,58.96366610744323,57.53948555517328,55.17357189300001,53.553235332352536,51.09277911561182,51.11271449039155,50.527367049918766,45.68424737110652,46.33414828263935,42.739460518642375,42.24273112513742,42.8647210807651,41.60924923752107,38.59800192868974,37.705765003135305,39.099608908735526,35.48449489030022,32.055571261830636,34.37868880022364,35.480809390680314,29.759846659509567,29.062302422445182,30.623643752071487,28.414903263700207,24.60657570780488,26.25138632394969,27.72016683679594,30.973349048455365,32.72206250741293,34.45230093287855,36.437224744221744,41.61298687779627,43.213169368489595,46.75194804489775,48.446624624601206,48.555282198845426,51.762433274929315,50.66270297419378,54.69686741006979,52.54398958218468,47.52663471387964,51.274046420538795,53.8561520714335,49.476333241520315,48.5827320791724,52.52776642058534,51.237172473365334,46.880886453653964,47.90721002082614,44.18778111386615,47.76761538994804,49.85178721945879,47.78584348227163,50.14478032077598,51.37107690259892,49.91354478702597,46.37698981694705,46.12225962158871,46.78384002864632,43.06343131590742,40.823705298222286,41.284583963302055,39.14224972625648,36.102684721462104,39.15476601438535,38.36908018585333,33.71637328552686,34.620342237282294,37.98023551300578,37.9747294106452,41.97580833476683,42.91383390508335,46.20116236307938,42.87637639574068,38.9120417682736,43.67648406070068,43.575935345179744,40.00731866421538,40.82599885951925,45.88439503023459,42.868045592542046,38.97376581118972,43.00995381046769,46.073223230692726,42.69920557473442,39.58014534287034,35.01759437534935,37.036420899925425,32.56378333866124,32.057273533702336,28.15484836012934,29.967416582366805,26.539882405951197,25.23011005877122,28.615884612921118,31.319117674145705,33.66838668540237,35.63421328481461,33.98087764884158,38.09320292787136,35.1467674106992,32.760805639777644,37.20413147460347,37.686665495968946,38.32293085962908,33.95266118910277,32.0424241224822,33.462770331349574,32.15816036149612,27.371242683762876,28.68229230874291,30.058221814610057,29.45843953906224,31.07312037984707,33.14837286018842],[16.47489525250615,18.401177577183002,22.729454658725125,20.627403748796095,26.777424049204747,24.673799866485325,27.538401391206154,30.545454546812397,28.83298135891477,31.21202464114901,32.80076951182037,34.95344648527553,36.589864800613164,34.11509652501755,38.6356749456466,40.811610473668544,40.01949425044141,44.08999286248576,46.12261098639891,49.24774781447513,52.13337884414923,56.23812398878365,56.53930335641861,55.65756544973676,53.366660823540386,49.177209849310344,47.61818275510228,43.748183073277374,44.53054432623159,44.027413785330275,46.03998890732944,45.76034651896694,48.483165489056425,52.42488569126607,50.91707128720871,49.55567804976802,48.835499329225776,49.749979060178795,49.57792866517298,55.32321527908816,53.0345547511571,53.255597835874504,57.638706888136085,57.382090882060595,59.086187115359074,58.936520483571805,62.78388682258182,61.693883596420235,58.39106784255844,62.45961367424619,63.92613536674069,63.584755900106536,64.91245098709317,59.81669457401249,64.40710375967352,66.85239668746794,62.99995789161321,61.904204276213164,66.71921710870504,66.82634449067014,62.30036862338356,63.26134374750226,60.899557072160896,62.24240398432764,60.503012609477736,56.97487103626005,53.31178914846214,50.27234336494542,47.08207377414939,44.30319171522031,43.28647907235605,44.6071819902123,46.99524093445443,50.95834825755965,50.763184662818624,57.01986335591033,56.60938443747562,59.13033870711644,58.61023819963999,60.18805731539258,58.21992400109838,58.13244582465038,55.55902054296955,56.25554423182928,53.4959295835394,52.120231756491094,53.963878442879256,54.207621228903506,53.75772890755246,55.96964456555204,53.2714128635819,55.48869430401234,51.67891779584923,49.40605752029749,44.8551582920613,44.10085810068062,40.00070505179728,43.22579227722044,40.72969205433845,41.406554452278236,44.71626758196849,43.63416923500819,46.58097875847077,44.482730229752185,47.93034337630254,43.18079441534814,45.27280700636132,44.18156561069441,39.776681840862956,39.99213689730847,35.40916578010556,36.81127625976826,33.27738780850865,34.61086140586595,34.89913166824731,35.17560884111858,38.512466206493656,38.874323528842126,42.69265474924499,40.98998848707435,37.72885432472409,35.011679129378265,32.89416054617317,31.3434775820982,29.38284799992397,32.062554313428556,30.6202605184696,34.57928978765958,36.81361764467596,41.670600360701904,40.68369375098598,44.919100868020834,46.203204894564294,47.208847844118175,43.513942359359106,39.81566478877998,37.01105552437133,36.40959622161524,35.23009017756108,38.45836196558599,39.64506010344003,44.56921740040561,43.73107553007808,41.854088174769466,45.20112929554346,43.54300114846858,40.48281600247326,39.45697261882342,38.780087237897526,35.34908003809282,36.12041701786074,34.2970078319538,37.92424719990223,35.41388624952859,37.529461756121485,39.56981494725654,38.724342767223376,39.839508151558505,41.32886194347682,41.40226544696579,41.91103619795957,44.941665828088645,43.20475893535759,47.84170535928588,47.757255461795566,44.614067014132225,46.96020145646169,47.95982782475964,44.706165813109536,41.87509540160744,42.495592842137015,41.368026927903045,45.33873111220588,46.72392384952702,47.77610485974126,48.29107134830624,46.809476916726965,51.78993824239835,51.879803952796664,52.491230141179706,50.985902661682566,46.90803948316345,51.05217003440973,53.42297223188626,51.03942124684479,54.59322843928385,53.85919667848001,57.688885454221854,55.67821964266264,57.23053679643817,55.86252816399308,53.31441193713431,51.722117527197426,49.17157931631018,49.095001501850945,48.49986337013097,43.60041319180769,44.080234598252716,40.461828516560644,39.67430461815394,40.273223678589936,38.759309244975796,35.835403430609375,35.16970248943445,36.35955099161175,32.58353339057855,29.545839924232776,31.809952092500765,32.538020655172716,26.868600926491602,26.425351225749438,27.862807312106806,25.346297289031508,21.80571465518312,23.754052898144646,25.440509551690763,28.5862572347272,30.909826084058576,32.25946287551908,34.12888013193313,39.4107137183595,41.01031315100845,44.54325016418144,45.96189463763439,46.0295419460489,49.13569857348295,47.91690874232887,52.09376036785514,50.11671762031492,45.06639526789772,48.74945637883418,51.5701989150061,47.3087715487871,46.31459841420708,50.29975813818916,49.30997800018124,44.97230913992058,45.85710481406444,41.951443988597696,45.22861135493733,47.252882521910536,45.024297443374515,47.207838365784504,48.30210882152255,46.77172166773458,43.388317799668904,43.046278448273135,43.52769998045171,39.84803627389786,37.72286445709892,38.019360194317315,35.783722920682614,32.89116915210498,36.01148265322221,35.0859927800053,30.390900772273188,31.55729865723241,34.97830672280579,35.11557810079448,39.08423580152812,39.98761233739421,43.42265003905248,40.227357857247185,36.252454874182455,41.06805983870416,41.191586842361154,37.680026053825415,38.511228088809595,43.69519644700489,40.93962444685918,37.028535429049434,41.03976372649429,44.27173025621665,41.13464514661317,38.0162168666326,33.41511362574229,35.8629382371977,31.480388019153178,30.69386973306322,26.59919972843396,27.92458501363633,24.191157826600048,23.4424165632708,26.858043315778428,29.852210299834315,31.98395474847374,33.57165561732954,31.68733893232361,35.66704636401536,32.647168840305014,29.981546300465766,34.178720048017276,34.537203526039896,35.04050422625079,30.83066564915207,28.853965637120766,30.053691213498336,28.843113767639878,24.110907535120806,25.271636939567053,26.496534975498925,25.86734044425906,27.49685934876062,29.599212853132713],[18.812907110341488,21.38301941251575,25.972003911339506,24.28452790645235,30.337946429177546,27.120426808918488,29.859683932043545,32.2232120654163,30.083313176410982,32.710225678583456,33.70650754635147,35.52256947091901,37.951758436445104,35.424604904007516,39.4869852856645,41.88043222054129,41.68248697935536,45.64082070960583,48.00899328311729,51.20336783150093,54.14925169160851,58.41251307271854,58.78903407129288,58.22444734756395,55.95230396310021,51.63616407644727,50.08908769619386,46.075956371282174,46.39937752116778,45.58270750711723,46.91106669625764,46.693780063921075,48.94823149025383,53.00841834779661,51.95599223653344,50.95929166787475,50.380867253316204,51.836754479804895,52.04205414941332,57.93194530681063,55.91664712458999,55.675160293163614,60.06255836308499,60.17118332998182,61.96051536788729,62.11927178762386,65.9253552539876,64.63223437711048,61.616224611588905,65.82627280859724,66.96503962586966,66.63234291711143,67.69925682884018,62.52643437558666,66.75967962312409,69.29406389965753,65.45822893773726,63.970974445377905,68.72503117399337,69.13021931365527,64.40609600602518,64.92619811060773,62.28762380640226,63.7119912179346,62.33485368891044,58.736127834598186,54.9028772012041,51.64636074122951,48.4933264931018,45.33516693431449,44.44917904778305,45.440699453298514,47.71335323114063,51.97210928024307,51.656223334216996,57.73602701978828,57.77912191324458,59.9912061627464,59.837465669252175,61.78875662029677,59.85754105771733,60.22533061558531,57.49896712920126,58.625231240605274,56.08597013949589,54.2846384091418,55.95986576343425,55.755244976103015,55.24547480118631,56.87072840980617,54.08932456093314,55.92384611319769,51.99322075615022,49.60170264140659,45.24805642046466,44.03620082134803,40.18298528126941,43.497894309382794,41.123608540155544,41.51660781490935,45.45174358161379,44.658902060779766,47.9933142273849,46.23506802219425,50.25490495842674,45.65490549785241,47.841683775413145,47.20459534043719,42.82548398394423,42.56878931457742,38.076791766789285,39.49288474484024,35.67890237534127,37.3892577244561,37.225119533933224,37.908841678362684,40.969351427120436,41.74237091209804,45.05423551017069,42.93305213077319,39.77754911665079,37.0395440289461,35.57982465125377,34.062821733665324,32.04221050773916,35.29132450405544,33.62296935357993,37.81415199723414,40.13295709919263,44.83201881599575,44.39154653750071,48.50680877724757,49.9629823881449,50.49821230037924,47.16433785138095,43.31825283602111,41.04280968545745,40.2378115737244,38.993835757117914,41.931966948234624,43.28149955486251,48.03269485234674,46.779041800581034,44.918913415966415,48.092740819844856,46.010762517214516,43.099046924580236,41.710161968196765,41.040638532400656,37.2482514027501,37.884227908324284,35.36088513323933,38.70555790247331,35.38733635547892,37.541040673303996,40.142512192786846,39.70534205344556,41.243505436258886,42.86821760778379,43.557908260580255,44.62181408518047,47.376120561824244,46.25224918906617,50.7604766379938,51.21260174289813,48.489868481265596,50.92012519895252,52.25496199964949,49.097697772823,46.09660066602791,46.50543670300485,45.05354705010555,48.69195055787869,49.72318742416159,50.3824512127949,50.563129216006665,48.72364398537209,53.64331940840695,54.19596629919982,54.9264772729043,53.932045907197825,49.73524987193422,54.2625656088852,56.865634432111385,54.51566402023949,57.88918117969622,56.94862124314078,61.086747530590365,59.278487049603534,60.976397067974276,59.83444304048522,57.137930419275506,55.78352415764886,53.236025668566,53.150681925784674,52.655882621876735,47.716113480307904,48.029267448347184,44.4353083930068,43.18342777212731,43.749162930789524,41.759208278940974,39.04256311694176,38.792083871559946,39.53689009759325,35.53388302718366,33.28770749055427,35.28883325385762,35.185759232344545,29.869222248174445,29.795140211079453,30.710868890613966,27.72244857789035,24.94259424276282,26.949693754112094,29.13912698443146,31.658054369291577,35.04576765351068,36.01275375360692,37.44572518232307,42.83482443131741,44.04436118180109,47.82254692496795,48.93442459547237,49.16858683706345,52.16073718100464,50.88887404977325,55.29779913165876,53.53884596726484,48.60353347638602,52.21236754044879,55.348189191103955,51.285720410614594,50.22951044112418,54.26486404345913,53.63548783332772,49.350671540612765,50.09888723724647,45.97152525344045,48.75478373212283,50.6591958646222,48.10607259010478,49.914107639312654,50.60851630200173,48.96886475702482,46.01696272293166,45.34509083661358,45.34346403829458,41.89831349578658,40.055292307549436,39.73894301267075,37.259315556381836,34.89879355009952,37.88602069373213,36.40294683536534,31.74650532405774,33.49233986485783,36.77701109075337,37.45937590158731,41.42316021991211,42.511737750831216,46.14394118153936,43.011197349442284,39.33746205543828,44.27651726786955,44.604805107417334,41.227700230452065,42.30018913020845,47.50793307685395,44.98046259610941,41.26186492527554,45.30727123692381,48.57317788284891,45.64190849996728,42.65209182122145,38.10914084031496,40.81017755049036,36.570919557857785,35.37762936012525,31.364931916103174,32.21582388195664,28.241291109897393,28.17919441363457,31.59315631803299,34.80505272377215,36.74211078781363,37.89000172347443,35.71966423532571,39.43564523967802,36.211663957012746,33.20442278913334,36.78238946034708,36.86211250165192,36.8857161418623,33.1718449693264,31.1676906844128,31.572549356471463,30.489420346489315,26.26078834775377,26.873713806668526,27.25494316232234,26.235700342872004,27.4646238043477,29.37391173454575],[17.460494971547245,20.244956508792967,24.765125782734415,23.39221580844331,29.143732916916214,24.989178241975146,27.590954977155732,29.3711632804254,27.072530506871043,29.99558439757242,30.64170991226435,32.06428635079503,35.057419976969584,32.75723237106541,36.46744617359419,38.86060652566411,39.16019719472681,43.132709350482074,45.9311630390546,48.96581554507387,52.090955330658,56.363742698331826,56.9601746017563,56.700831405710495,54.279112790067586,49.93079647610385,48.20276037422904,44.07179562075462,43.95576475823123,42.77660271953647,43.82646587727975,43.410057234417955,45.39118507490739,49.583285272609025,48.762689922412974,48.101589092131526,47.45850336863792,49.421161888249934,49.89446832189269,55.7889266764021,54.18855214782583,53.66351847031316,57.9795117875277,58.40865015589648,60.40313166674409,60.84716908807823,64.58416142692624,62.99441703368815,60.194133451846945,64.45561587271587,65.24098605128094,64.81424450233868,65.66020266375929,60.46967770736159,64.34994758887164,67.05040598820638,63.32501142122769,61.49080817475365,66.20098975540841,66.94409332735103,62.158406187741235,62.39911930694809,59.550454577978726,61.22855355195841,60.05869557882062,56.30795256037679,52.59272330146787,49.09519330419451,46.20760933971269,42.75627429659396,42.150982267713204,43.14559224384591,45.07994067434811,49.50139397320227,48.84583615832491,54.77421219446947,54.94755002229502,56.866493274017266,56.854563717933836,59.01030104453937,56.97386810819232,57.627546560074535,54.69833478930757,56.131454734774955,53.836212629589966,51.745172931736036,53.41343860843862,52.80630924640094,52.44618849509001,53.64254659444067,50.961188495000336,52.680234963172296,48.66439515640526,46.09770377886727,41.85980566525219,40.4785919790256,36.77289064134667,39.87196799450966,37.48213340820624,37.576210147374184,41.890847949046545,41.18723145376738,44.798740686970305,43.235833632821894,47.65309903308278,43.21237790022529,45.46870960506969,45.24035021198872,40.94681602461343,40.259446674107245,35.89584962572431,37.3193661303171,33.36758425598679,35.45983455184179,35.090333772459985,36.223830014669126,39.139693233226026,40.39092671113007,43.458122672154516,40.8754092910969,37.929590447651854,35.05241138847372,34.15235346737218,32.460851637827375,30.227034957964605,33.81653453328611,31.826421303354504,36.16600125654643,38.5130916789911,43.00366180216925,43.11135021812337,47.06997955133877,48.677235219437044,48.73498399301674,45.80928338796657,41.883990204937284,40.17359799797207,39.2618312986906,38.11592806658057,40.76246546904051,42.523060666086785,47.10214662237593,45.44778161145841,43.46280922548501,46.41180013228113,43.92383316597913,41.13259064943632,39.35555804501538,38.58454676151092,34.54411163678436,34.989410267310525,32.01548624592134,35.115627397984625,31.37101819101731,33.537906570512476,36.43740694776706,36.309901196501386,38.063446757137214,39.84631090311135,40.9175791572847,42.49064514641321,45.08856167936197,44.55852301654637,48.88231149808868,49.803267956647744,47.58817285306448,49.96693732014932,51.70540021480443,48.62557376411983,45.5082684678705,45.61012193168245,43.883493597709275,47.12184632018936,47.79444193930883,48.11452726001576,47.97462076967675,45.937304200809066,50.723224850013914,51.66293270202949,52.42966911936155,51.90387751775618,47.57745816905053,52.409262676742635,55.22420227159639,52.95715364356689,56.211509776747604,55.180155919797656,59.56808708208136,58.09952329587891,59.80318191257915,58.86164432509973,55.97136845366611,54.830699248916545,52.27505745344288,52.16317352562881,51.798495215145806,46.85959591430403,47.03063801394683,43.55823205181518,41.81540576036404,42.506665512648745,40.059632885575574,37.476974199564296,37.77902977271946,38.2402431707311,33.98041174454525,32.50212528490395,34.47412908367544,33.704239886351886,28.635172819765803,29.11186482368027,29.81338671384643,26.292030217842193,24.227961773080487,26.72722008354232,29.141439408342766,31.419257456482214,35.525930162395255,35.89219169267858,37.14218515459826,42.57117557052593,43.77536446537354,47.46712960171457,48.084915800211185,48.204706850655455,50.95119234601961,49.41419474707673,54.02275466839774,52.63022661428826,47.64830609418172,51.03863704024779,54.55855282008074,50.73433357052012,49.4535743453528,53.44697047917398,53.344303874038836,49.13802869171198,49.5001596948721,45.246320202704446,47.402892489956756,49.26204092094811,46.546041274245034,47.9524593628076,48.44877931566751,46.565734250447875,43.985529831913084,43.27842758125316,42.82140064159646,39.45250738090201,38.021579947628965,37.37260456952196,34.678451513034524,32.78766386127822,35.912324807391364,34.10330220567181,29.466914087487893,31.848502135336552,35.16673634044877,36.14729712448192,39.93990574282392,40.88960911694559,44.7644187056712,41.97127488351023,38.31529391430617,43.204975489199995,43.96212497201323,40.746314612217255,41.72113678312651,47.078902740234774,45.03007474088625,41.29093840993788,45.1523708846242,48.68544886057161,46.152198232413575,43.16520800953431,38.63348282582993,41.860622209244454,37.78870858062897,36.395167819878594,32.17563491766883,32.32463255716487,27.9868969448625,28.686425889566166,31.95675908647866,35.45940223164836,36.97826181397327,37.63574435244303,34.9951808343278,38.35058372575948,34.90490199362755,31.689737787572103,34.658453524298196,34.62290646707751,34.17412113326851,30.858746355332205,29.04455787589152,28.835706286418194,27.67012370762263,24.019612828832507,24.42761255264705,24.10273437189042,22.75091360812842,23.680339202970796,25.4685517460357],[19.43779652808234,22.550427830486004,27.37093484245666,26.697374587632936,32.68680224319909,29.160097266697804,32.2260473598693,34.145677334037266,32.349040042600535,35.4760351918659,36.36013720649421,37.669245096328275,40.60080723970223,38.481739930563634,42.32108047290893,44.59708971289132,44.79195144505349,48.877782493718335,51.62069228227927,54.60103706668741,57.751544111145975,61.95569086397609,62.548533348525204,62.13884579217874,59.683601366567316,55.38655552562517,53.59482835067762,49.49584512472809,49.52017838994019,48.32430136217246,49.68335966069517,49.04159380063684,51.11235737135656,55.3852173216811,54.44733474597374,53.78683654326751,52.934314751366976,54.85442248842952,55.149002648697426,60.918456055781,59.32067073391661,59.08115197806552,63.38509652676345,63.64949812809655,65.65812231086242,65.9186106858039,69.69085852176131,68.17804553563644,65.16239155105905,69.31189022609024,70.27089805750944,69.7407183351106,70.736978892463,65.59637202873826,69.59303114307235,72.3757173224223,68.69814590265858,66.9778224848205,71.73535587943987,72.4403026075857,67.75475275518957,68.16144491552322,65.37100282144647,67.09334265084038,65.7993412219063,62.03014947040987,58.41347219389385,54.94834771294301,52.07067936725138,48.701236875871054,48.06558668784387,49.11554727620315,51.10246937303437,55.47632993883651,54.81896595907798,60.777303631062615,60.82451841492994,62.7587895980037,62.62449009626195,64.66536243862328,62.47714305945464,62.93001485481911,59.86831348195037,61.10476619990564,58.82153358116817,56.96829191953258,58.85953358498855,58.29345757402118,58.13676892983253,59.42782719508503,56.853239015357794,58.67441527024273,54.6528736973128,52.027526654541305,47.7623869507332,46.455312089466126,42.72911747133808,45.62102517542102,43.07389861248372,42.83514028924332,47.25080298659444,46.09399012743299,49.875004357551845,47.871626263370814,52.05978590196679,47.434379464043126,49.30023998654317,48.81619041224541,44.38411430391606,44.047900548110555,39.802102586126296,41.70331158114124,38.05846053264348,40.22370668291948,40.30668542053351,41.334378569054515,44.479748301079724,45.55405182760414,48.93465312203453,46.50886627787872,43.51087613925058,40.59813593943665,39.35988777371976,37.557102972920866,35.17723494288991,38.32418852141007,35.95942961626514,40.247942956072905,42.26811752337737,46.91778698295603,46.52592062916601,50.405254488551236,52.247450286972345,52.61494522368366,49.68892626139191,45.99611379795543,43.769967489155576,43.353549769933686,42.44783498207584,45.37128012371955,47.15207503432257,51.90817508625516,50.51995557807713,48.449841821409116,51.49663783427024,49.16117097420345,46.254823735083704,44.51121262698429,43.512246017288454,39.5423542051007,39.64214784252035,36.91162459824042,39.70215682327058,35.98674227916107,38.571792018965816,41.45739755549364,41.51099567241781,42.932167429249986,45.01348639958938,45.63152883877714,47.214244511828646,50.15907325795248,49.39188257282756,53.773872317095865,54.33385998099832,51.86798439783728,54.01045852233831,55.51464741094116,52.18891938190025,49.344252434616685,49.50418919524118,48.143875649837376,51.557654867040256,52.392155470974686,52.92500035285717,52.77273935694338,51.045098234450464,55.69711866906057,56.60350173542562,57.14234314310052,56.488568322696466,51.961289458197626,56.565306331457606,59.299464886016885,57.169031017173765,60.7561268250458,59.999203872164834,64.18616408996948,62.71800708476865,64.17244649420454,62.978086946363355,60.10691324137392,58.60787022318575,55.8882274683649,55.55770022517628,54.83102692411294,49.88186106640526,49.80285789031163,46.035904151449785,44.61732691101899,44.708570014780115,42.5547870893053,40.23662607936076,39.853323622466164,40.04031783999285,36.180287376860605,34.47806327942296,35.83997020823942,35.1310046127807,30.391029126760294,30.240141608637995,30.4938479807989,27.55964419489271,25.355440464023086,26.821771426988573,29.45198763319549,31.137980747942255,35.42581330997154,36.23993596023463,37.115267018970165,42.49134800002401,43.15961996252322,47.24714448964553,48.30467421300371,48.90520426376729,51.92914957146819,50.94007068043795,55.41841912585267,53.61960413917577,49.06319464121723,52.77519969470464,55.9427921102924,52.04976715097983,51.23254622619752,55.3976682255656,54.80166337340697,50.612709173417514,51.73891341522981,47.27870617421026,49.969016201633366,51.555647984245354,48.59365041212865,50.28538707323908,50.48878708152101,49.15133454764627,46.473417974896144,45.186520655751394,45.07750434892259,42.082267520904615,40.078793414205556,39.213124945747374,36.76548994572551,34.668401033311454,37.122019741832766,35.28992074935432,30.87067544619842,32.604032362114324,35.54479747824115,36.65020929723426,40.66458894341569,42.17628601722527,45.73416347650427,42.40830945470474,39.28968761143529,44.36560126145306,44.54839409934188,41.31150978151132,42.90979450965053,47.86046606605603,45.31200759035102,42.05304182621645,46.29988305353814,49.2637754879684,46.40609029865156,43.72940994220436,39.409213472935576,42.10230776069638,38.12439321584953,36.294901348051006,32.733784656496965,33.33434259616803,29.566678677118762,30.02494820675903,33.48574912932506,36.72073794374812,38.73150655026025,39.40449488116122,37.56610609611445,41.17020507067816,38.27100304420276,34.72643918028396,37.891503051086396,37.45567907919983,37.54262385295277,34.373202529254215,31.82841284233638,31.80116394187995,31.543640400487995,27.327713107040164,27.03342539175771,27.23262634352915,26.35027373402365,27.554360642480173,29.367480175854407],[16.578799463328746,20.061746909929397,24.886728371221924,25.302601285082783,30.981789769777222,27.13968165463041,30.51557118150851,31.957169118504567,30.730808523953016,34.40558775203667,35.33685392070349,36.07006838301234,39.34710263990132,37.86284744149315,41.5335119218557,43.519702379164265,44.055199898074335,48.34856919257347,51.54832993062273,54.13292133905852,57.571996427110705,61.60368527021916,62.51508194304979,62.279072925664195,59.520118525022625,55.32364887802263,53.14498266420622,48.98312454835008,48.6937550747982,47.06113909474088,48.74269434060674,47.46626283076102,49.49246913587366,53.98282781878973,52.996484935761025,52.668527428271254,51.38380746143299,53.77326118656032,54.09665758579702,59.63071102956617,58.5907853725199,58.45594365427565,62.608610164694,63.02483907238252,65.34506858505915,65.72497148545644,69.42339332679191,67.59531457787789,64.57826176849136,68.5871596847109,69.30676967986355,68.51332007915151,69.43758057206581,64.38175433228103,68.10412516835612,71.19882709634203,67.76057703374427,65.81436451040288,70.57994926207772,71.63605421595199,67.09441392736737,67.48694571904967,64.59231507049344,66.74595680062247,65.43600181088964,61.43379592893293,58.25314003809961,54.56339008089465,52.141985082700955,48.6263677164734,48.35646441279541,49.70511771766522,51.23563375920064,55.615673377693454,54.451389490242,60.2941754899621,60.10499493665988,61.7593675046223,61.47730902519138,63.4866660383001,60.935885738494065,61.362189703252824,57.91902741807041,59.197726486950486,57.214825478629464,55.38841322312206,57.608546774185015,56.68957075312563,57.054412517408984,58.108092804943446,55.89253251698574,57.90150081993843,53.8253370543547,50.924335927078154,46.69670734721503,45.5212989396878,41.85780857404579,44.06907370136591,41.24308701385144,40.3317018246848,45.04620313718422,43.35394141833377,47.51999367085862,45.162483645101254,49.41593738363299,44.79409812502327,46.31177471983568,46.0014521119848,41.575386705507334,41.134308819469844,37.195769141381355,39.60117784546011,36.23773046908148,38.907437021209525,39.39259725155594,40.829733778687725,44.12129562913562,45.581065187059394,49.171814046777214,46.3901281720547,43.64210849130899,40.477323530939664,39.4433765821251,37.21440349237991,34.36665346169226,37.27860912064843,34.0969932708779,38.42867988645491,40.09409157192325,44.612745136987975,44.35392371754362,47.93188234354265,50.17042663140365,50.291879685874335,47.88111081970712,44.391107607961516,42.34071138813464,42.364355485886705,41.92307891233859,44.77323213081061,47.19190119308411,51.909191336701525,50.355157543237475,47.975405236612545,50.82809418592964,48.216051123006416,45.31659847315311,43.17048683918331,41.7514241350241,37.67574797576759,37.152511019983365,34.38231489747996,36.58796454765868,32.74683001582759,35.79186245124565,38.76366518880457,39.265630480626044,40.405242692605405,42.98653735034093,43.37562542853984,45.50123129528446,48.70303908760998,48.34226847939037,52.52568113628843,53.19871104089956,51.128559558723666,52.879097060980065,54.654948949706174,51.1789662569235,48.51845607091669,48.314161738216335,47.04134028598067,50.11571191950022,50.70282525735574,51.108228565151734,50.596969694435664,49.09302886067634,53.39799698997922,54.634803919160206,54.917111516848315,54.630563141742094,49.75381331342087,54.40375620770165,57.27731722351285,55.42164278514654,59.23825858908452,58.74093245521529,62.968196033805356,61.95906356865427,63.07914834120067,61.85111041003691,58.75681208700464,57.13009927875366,54.23833263769562,53.64556488562491,52.729442903987945,47.810509523978,47.32756061599974,43.484606582082236,41.78842328983139,41.519967684082786,39.13097447745033,37.2045292399187,36.87665733187243,36.53425891502374,32.75560929368856,31.772293337283,32.60548454977672,31.22332077575793,27.067053931256822,27.079278937976827,26.774280446314595,23.718380446405437,22.279893534110716,23.579974895231043,26.570074459988373,27.575089292886915,32.78979755171671,33.125328070907365,33.551149360500965,38.900506194138366,39.29608627907619,43.4493023454785,44.21010942998039,44.954210921348164,47.87842797452609,46.97237055341713,51.54392551895909,49.87758990600904,45.57629245661434,49.25274887679621,52.580161015823926,48.93127544343462,48.1937085049899,52.41662472480226,52.076831074924385,48.02956651290571,49.27329855375392,44.52855296848137,46.90652685909582,48.21379298733431,44.91539062651431,46.41155669980405,46.22639285383857,45.072886710513245,42.6788810105102,40.956755232176874,40.698862355643584,38.05787643437141,36.020541005394705,34.724604853611034,32.29075020520236,30.473249508268733,32.58725539709863,30.488965842360354,26.25662301882512,28.140081024528108,30.879394948155085,32.31869817063168,36.26360287292755,37.96747280875468,41.5433321021112,38.26801896292949,35.516624305331355,40.61557787639282,40.89931168261183,37.85634757368628,39.74003390223036,44.551447694573966,42.27217739460317,39.32976032938759,43.578792645441354,46.46076328499858,43.91773406382386,41.47343857490943,37.364544950478304,40.36690389968495,36.74224628454063,34.35864049795197,31.02158403701651,31.00814201120287,27.295124063785494,28.559250385810586,31.903901062321907,35.26202225126856,37.075643059363365,37.107348395620576,35.39195102980665,38.72916033241234,36.13056845382816,32.089298343060854,34.726424053217094,33.83496266564827,33.94801157234729,31.343116461222362,28.373797976491296,27.937443118052514,28.458332619864365,24.354965619947478,23.22103483064111,23.28921636613828,22.637014671748442,23.952346460661357,25.705188197433305],[17.12017696374683,20.30846162401287,25.191198993855043,25.204737354192936,31.18147738983974,28.227681776436697,31.705669244320507,33.76113714680615,32.61400533471144,35.99155158192341,37.270766420671265,38.442164473977954,41.152001388195096,39.41893513686839,43.469354869010004,45.471098576101596,45.50981375959967,49.81308943603883,52.616003859593654,55.35383189754452,58.638492281929324,62.66489242809569,63.37979086357525,62.848024408911755,60.212536142366574,56.03870567745629,54.017118821009205,49.95432407058511,50.091411936858165,48.819624750632684,50.79344748830937,49.72804515088965,52.06020800359267,56.425065726647006,55.18579446712979,54.50166438572305,53.28538134787923,55.16373908324622,55.22092604357191,60.76635038429229,59.31795473490174,59.46264169481443,63.692442558347445,63.79220345673376,65.92140386321438,66.019364418205,69.78867052451598,68.24742118295764,65.00814747774413,68.97426577302743,70.040008273037,69.33250498619131,70.48432755826097,65.43790181374969,69.52627666418108,72.45406836193816,68.90264845175864,67.30545280137544,72.12420081748715,72.84242708567936,68.35756492321008,69.04201242110152,66.35111582062812,68.26833407578188,66.73841933630315,62.868793084984645,59.57712574722284,56.106569015661925,53.429057881160404,50.183057478459396,49.65181901822085,51.032644814066416,52.879388609199715,57.11631421965117,56.265589940230356,62.29136815426816,61.948663177864816,63.913810969867846,63.475180778312215,65.2744210274701,62.826905122722366,62.96237271533544,59.73089215695132,60.7011352719784,58.45801459602727,56.91442823127991,59.1427308781574,58.64047866753339,58.84482215016621,60.354886177165156,58.02686274639703,60.17926112628944,56.171322073879345,53.43916676300332,49.05728939478633,48.061718113539854,44.20640278835795,46.67677174895988,43.861912031863795,43.336247974382196,47.62866248710042,45.894932839807915,49.73908939890677,47.21500930913534,51.0671161141654,46.28450641772602,47.77823995154462,47.048133537127526,42.5396951574554,42.52811088454042,38.421727189710715,40.76584092851362,37.50059238881908,39.78267794426057,40.450753946721505,41.464413692929114,44.907416727976,45.930706782465,49.777346953958556,47.413075878197816,44.46099161670431,41.40172992386324,39.84527876602856,37.75820463315219,35.09871483985843,37.71235305741545,34.86694990549483,39.06882918575196,40.73951387487306,45.47273843268864,44.68037246365416,48.43490473584361,50.496026497114656,51.09356068493793,48.25366099485429,44.824430396700826,42.232677511249804,42.34442976934971,41.810327898476686,44.93584782502034,46.98878507200846,51.8712642877172,50.68966201337312,48.41571857970921,51.48491425902457,49.26194087922211,46.23582358365606,44.46787296893512,43.16544144540971,39.32602946247484,39.05647322736101,36.73342129302147,39.300374946713326,35.945532853609436,38.88591587531677,41.531992751538816,41.65185602670736,42.60973567748839,44.98599834024939,45.016913709346554,46.60886776715595,49.958258310043576,49.01244538134888,53.38388181401404,53.60693542369367,51.04786040311348,52.85090980126788,54.244558952494714,50.695494509721684,48.140919384873634,48.22850046492011,47.21161754093876,50.67891967536762,51.6216139187519,52.36581210251713,52.194037050666886,50.869472544962036,55.345062514535186,56.171420316275544,56.4349021109225,55.66048069711386,50.92595587424524,55.28149540444053,57.94246534844929,55.98954007722093,59.92015179833598,59.50440142034431,63.49057233383159,62.15636130428648,63.272431698364656,61.851646697976605,58.93645325694661,57.11084239515809,54.23180804859566,53.677656888720975,52.652062480288386,47.73026409075241,47.41657586600038,43.46964965524113,42.27128364522853,41.93878998570286,40.02712727967232,37.90792677111874,37.050799857402005,37.07190059201504,33.52725229742927,31.697068909832513,32.644194847953024,32.04849807339664,27.531591215190538,26.98971131467558,27.01851021836621,24.51903472043091,22.216222712250246,23.084039827400993,25.792169739495712,27.16726683381571,31.528196381293828,32.49903764863299,33.19666938911551,38.51491679292656,39.016724106275525,43.20531522481317,44.478253936855026,45.27833733690984,48.44829088007305,47.764182294115145,52.121687251030814,50.09160944156662,45.78001761981142,49.66299909603552,52.60465822287458,48.69524380170116,48.15078962323107,52.40434317617437,51.54079067607391,47.40335829342903,48.991541029475044,44.39541931164933,47.40480180553655,48.798086335896215,45.72210978236945,47.640907809597735,47.74488804616714,46.78184380078497,43.96464445807171,42.39351995441371,42.62247236182842,39.8137256434449,37.39283045334591,36.55997101394556,34.34624242188757,31.98729760518505,34.07475557024759,32.41597739786724,28.122844289990923,29.322149604253447,32.0969557717708,33.11844158706188,37.2258850849649,38.98563912104148,42.32215156662414,38.7325847648067,35.86265235555777,40.99191399361729,40.860939625525255,37.62726857433934,39.53964941471073,44.24146295298147,41.479241621277396,38.499343426627675,42.91694242068357,45.57264805271045,42.62368699607551,40.1438279256997,35.99787091905928,38.49791888145128,34.69025949575411,32.52291211155018,29.352724029610908,30.048503457090764,26.67021845419446,27.161461209829657,30.651251381002112,33.737572742369785,35.95054416259065,36.48631042340411,35.19744528808213,38.89923124390686,36.47685765194955,32.690311357172966,35.987594831695525,35.30234909796113,35.86728252222587,32.76620052412455,29.70995775762385,29.979638431035298,30.389272369252527,25.710820091757196,24.99804717924977,25.819645890649667,25.427795080035416,27.038763091130217,28.959083930433852],[16.118355849510834,19.06067081448145,23.84014063424909,24.003967167405396,29.984063152029538,27.730695199021937,31.383379604373157,33.735934195512826,32.94962211805351,36.27978379250807,37.89115004912691,39.1696307197567,41.49339255076133,39.872176477404906,44.1543172505667,46.004018317289294,45.75241466152013,50.14440279155562,52.80405305390801,55.45669486614233,58.735098603869595,62.645734191107,63.34584050558891,62.639605874520115,59.96538833942802,55.8874061305647,53.81520626048084,49.83626584452028,50.20216976971603,49.05070591472781,51.455263981757156,50.270170978171954,52.859795369088225,57.192753793519,55.68908099522046,54.84273081193408,53.47854450090966,55.10429095189369,54.9338082728191,60.34378921257965,58.810273241274956,59.26264130454747,63.465979001367224,63.36111496449201,65.47950506897045,65.39546438527901,69.18489975534355,67.728426657561,64.29754954681043,68.14571037273622,69.39402333686284,68.64002175980696,69.94708350240295,64.96790452112758,69.23453741074839,72.15368287789306,68.6339792942817,67.2437098804466,72.09875354163655,72.68329139252083,68.34089036721592,69.2873375572953,66.7450303741684,68.66343381592733,66.92003128793871,63.06702077424225,59.921111610767454,56.55226974207521,53.89719037128206,50.84501471100424,50.27111286236922,51.84797413959859,53.72770898865555,57.80723865248919,56.97973070896878,63.092497064355264,62.474353382944976,64.58104727116515,63.91549236461265,65.49343350473409,62.96885175633413,62.81866480855086,59.61316274443888,60.31264873461104,57.987308499755564,56.72590563949207,59.112745218300404,58.823757504333145,59.142352992395736,60.95747633872954,58.7205248336208,61.10384393571783,57.1522028382735,54.451467581953445,49.96250334448436,49.219591721653515,45.23669413739254,47.58479172839454,44.66063431407893,44.18383291211591,48.17897057073314,46.167735962941116,49.86200172606037,47.04060523828288,50.53301965782966,45.6391954282353,46.9547558127926,45.93330437823432,41.39109490234736,41.71258305302083,37.629391956671995,40.11965820558197,37.10880628068903,39.25930550193933,40.2843658668302,41.11468128510517,44.739011945916324,45.562999752411926,49.726675628550744,47.569350469535046,44.58533690487649,41.51489945684463,39.60883924484876,37.449592058846335,34.753455558952304,36.950551533743244,34.05557727075009,38.103971893848,39.601314559610266,44.42423275738647,43.234342959321005,46.98633999375524,49.05290725558951,49.94982845188733,46.984593999039795,43.7259681093707,40.76992452530214,41.16428722741952,40.782250052992204,44.08650519794428,46.128300764673476,51.10605067970115,50.17523684482002,47.85032775516145,50.999450409256504,48.9962836169589,45.88303789851345,44.27111731363462,42.88175101494128,39.24331951258347,38.91738867124662,37.01513734060735,39.62669545206143,36.71678452523919,39.73377178773554,42.07747768803603,42.04741893638245,42.69415860152763,45.09515410022996,44.69034678678836,46.041112269872364,49.624387148407386,48.35619259393694,52.77301992392699,52.64660764648318,49.87247799221998,51.52164076515458,52.71165853550397,49.04783020080955,46.685195018284105,46.849564913547255,46.10287373307171,49.72959872593452,50.86460164549381,51.845894788882504,51.81382852739733,50.765077400534956,55.20657367529726,55.8095222781854,55.93638723311446,54.9000232734907,50.16049553608872,54.251820605049836,56.77686214707648,54.874598530666596,58.98783147846584,58.7703521645199,62.54218246232793,61.15306486500646,62.09699189320734,60.50034119646202,57.65062852309204,55.606534406161934,52.675198948367125,52.04096974525172,50.84965131411068,45.963566820872394,45.62556137199833,41.586965257045776,40.70183104756036,40.18499408871111,38.603730170610085,36.48628435119285,35.2156642350597,35.3514232254386,32.06788050257267,29.816452590146824,30.657203714812667,30.49862725287081,25.94385176540264,25.01108118637933,25.1403816448796,23.105205368414463,20.396314892088693,20.836834259543387,23.364967636281452,24.843544573575254,28.753768423710536,30.040152497807934,30.82851452274269,36.0776984440629,36.63232836545909,40.81592836996451,42.36521248977254,43.216682677291004,46.52633223545854,46.03158846448041,50.22914071745504,47.96877915118824,43.73455902596672,47.745696745948116,50.423723112292194,46.4051786367159,46.037038204830914,50.315485292875934,49.13968705521662,44.99632990343511,46.88754367926961,42.336196828232694,45.72647467134013,47.08357521612168,44.09808733200252,46.28876303422358,46.521266632424656,45.772595138205546,42.70932171097836,41.14304868432366,41.736243606249715,38.917542507479915,36.18495303924155,35.62876902058322,33.63054031912579,30.922284395431767,32.88013218528519,31.54820338654398,27.311160843562384,27.96918627981458,30.708835974799957,31.44555980407371,35.61783592395679,37.438441487920166,40.566555028212115,36.78937408474381,33.92838502927609,39.03955494011137,38.628445163907216,35.32740338519796,37.32051845317855,41.87130790697887,38.854802993945555,35.952350166681946,40.46500875534714,42.91737456588265,39.79043346855825,37.367316339769765,33.294895881347905,35.52363398349335,31.73757823864524,29.541571548013778,26.59915196724104,27.611163575248465,24.582876734168323,24.758889778574726,28.270830466072496,31.155743781377137,33.59304727014511,34.268972285715,33.393532201418594,37.253024986169855,35.136288247740225,31.402903845699356,35.01771029595951,34.345837642919335,35.31223128118871,32.035169004923496,28.782202203918487,29.512935319713097,30.1203985607145,25.080286434583805,24.423717730709555,25.83569231189634,25.814864015656248,27.714326196638066,29.75895042348465],[16.18718818522862,18.741080215323567,23.413532936313796,22.708890243968007,28.837769583360313,26.804435275725766,30.21859989132839,32.91386150138292,31.81862392828496,34.77856184483244,36.44305911968981,38.09816198686022,40.09235362892179,38.13327957891925,42.566524128258905,44.53282300721309,44.005910306387435,48.28806108083173,50.654808970510906,53.499573592239884,56.61037704973162,60.58303213410293,61.10609494488073,60.28181771663509,57.76602477103412,53.657800522893815,51.78961658627288,47.87356267395902,48.465175894003934,47.60455230441186,49.92526928388546,49.09358109340703,51.784820516464016,55.96047233722064,54.41143295392265,53.32037190889372,52.19318497728551,53.474835223914084,53.25308081894584,58.778756976987495,56.901485735265084,57.33057945068345,61.612050512387675,61.389951857120984,63.31020542639995,63.147171469004,66.95950687076615,65.70361064058402,62.289921599588396,66.18439380956123,67.58051924554344,66.99507926598551,68.35575998817772,63.33876079480242,67.79709507391729,70.52154719298504,66.85841635863895,65.63940250700125,70.49164562088428,70.83912257048716,66.44612648213199,67.45114538375374,65.01246202067958,66.68241479224409,64.9003661864994,61.18859290418057,57.84360298691676,54.630409538511714,51.7403497079992,48.834562500464635,48.05944709593476,49.54921732143437,51.6641349176198,55.67486765998499,55.12686210930338,61.320357817567896,60.74989991978371,63.0588207831637,62.41752995769959,63.959591683011624,61.64714293012123,61.46361967439043,58.515819078514475,59.15105379435092,56.631109702977184,55.385036639015254,57.582033838407284,57.55670911297088,57.57761079979533,59.61517402928354,57.194320114050186,59.54346170484101,55.653412056965855,53.13058374894643,48.591009624329224,47.87180819433395,43.81238869031042,46.516015436583295,43.74021895258553,43.73173633808766,47.424026892810424,45.731842307632604,49.11222136642294,46.51316603038458,49.92175778175702,45.04149474322228,46.63328808696413,45.50367189112185,40.98440189700851,41.35157466658085,37.05013933872783,39.15112430450879,35.973918350040115,37.769376112235626,38.58124101903811,39.14022739061816,42.694484589626875,43.27100813019579,47.365696112635796,45.4483339696598,42.332427830041006,39.405312673353336,37.32600395393375,35.40033251791482,32.98937986003848,35.28835376696817,32.94510279683642,36.951846043221934,38.711915212742305,43.59772825892111,42.36906008558077,46.33488730416151,48.0881148471581,49.12329754761415,45.80824746778536,42.40671522233144,39.38530247174408,39.453477093597655,38.77685825015719,42.114746707046905,43.78658034631783,48.78354156725002,47.96193044688782,45.81236349933462,49.07295762991176,47.26863578876338,44.14691235221566,42.80992338422346,41.688400921275864,38.161535630116404,38.262680378000326,36.459573636394616,39.49824464411067,36.79329304629064,39.485164620187795,41.67849419803738,41.298013945223744,42.07943669225312,44.128019619596735,43.82556994007193,44.78192261347431,48.20309357004681,46.655993132590055,51.18863101120942,50.97777818327674,47.97777851839789,49.88117308903013,50.922558753303036,47.38381531031207,44.880633297678735,45.266762406296,44.442143813681206,48.27215138500514,49.56833526317973,50.641796108036466,50.86717148589447,49.69804177116417,54.365360261412576,54.71026991725623,55.00161630619439,53.70457324654185,49.226523751214806,53.281634899412126,55.71046575579621,53.6139431803965,57.553938942768376,57.1702546064378,60.92097674901377,59.239278055709875,60.402575456346106,58.854076124024886,56.13196690916965,54.20559263633137,51.41275814326767,50.98327709527488,49.97845371137686,45.08060373794676,45.07329274846864,41.15702750459019,40.410913190803306,40.28516082859617,38.820158501514186,36.364992135926,35.20268518407803,35.80282582139052,32.37330260066891,29.65299960590037,31.04514776104043,31.37985637691445,26.31302955763242,25.444400871846266,26.145682962598894,24.021694548386773,20.809971837936327,21.7345339644321,23.890807417028842,26.119350671753637,29.22564734219818,30.685980433605355,31.95428854753095,37.21742701832993,38.16685753463456,42.141095710251236,43.768688471789545,44.3247865018367,47.60964762544303,46.88492227080824,51.035190107877185,48.805359365570204,44.25840727025193,48.192804711831975,50.845635104873594,46.68114091415273,46.12231226858685,50.30070628332276,49.08267235869043,44.84358990143948,46.44647442774524,42.151904533753466,45.6376958813274,47.25965620272098,44.59071913302845,46.8662963596264,47.47142913106145,46.4693674283592,43.2014955368397,42.11669595215699,42.76107836222143,39.5819726744986,36.99771907756189,36.84471494278763,34.78781867866105,31.906412815638618,34.309395401029086,33.205574837694556,28.764412542368156,29.504498664766807,32.52497606436842,32.950121592714495,37.083516796449274,38.567245574741634,41.77170213598769,38.148910225031216,34.83155780526656,39.84959366198754,39.55420779438002,36.125180773596234,37.69094440537988,42.46511633435508,39.4325964333922,36.134239762722665,40.50973721592175,43.206334749087766,39.97739958127965,37.277632505911576,32.98871308932228,35.18616899571549,31.104511528469807,29.490120470576613,26.141181915383946,27.451436730199298,24.224366951102464,23.877836903129893,27.413288714969696,30.281022625391234,32.713260836244544,33.84153142198011,32.69694578569508,36.68620786010798,34.28481350172932,30.972268931960187,34.931493257376886,34.67013140787529,35.55477210175812,31.838737234193662,29.01711639699429,30.046077201930355,29.975562138464987,24.919392869583454,24.993564528722654,26.463607771783536,26.24975782578739,28.105761192026666,30.201059287935713],[15.590960882068071,17.535767465377877,21.858449474901104,21.154251812611264,27.17413175011369,26.17135126226221,29.694548291920245,32.78581098321763,32.12579627690545,34.92253300377522,36.99600751766355,38.80912494741754,40.243369593641525,38.413891035540374,43.10633546760827,44.87062060916969,43.943368454912886,48.28810908346768,50.42013130395811,53.15477721347158,56.22106095531405,60.03107729713978,60.51583820580556,59.45775500690663,56.91967562776257,52.95292646304341,51.056586015935,47.281170785506355,48.193609793467786,47.533039635734674,50.37429976204974,49.44137679571837,52.44919572270968,56.536146734894864,54.65825366964689,53.335896305719686,52.06088868580242,52.96498117978526,52.443625062159974,57.78528348916253,55.7600380463701,56.57823757974713,60.81353164914196,60.30703498543953,62.182179180551884,61.770375133585986,65.59077971333541,64.47700385892941,60.82983168379718,64.57171622727006,66.21677547880607,65.59152525645464,67.16025066319793,62.243387675761234,66.94098979134263,69.61807470222125,65.98368645794685,65.06272354614597,69.94346299326145,70.08772144568105,65.88713897667219,67.22822423626363,65.00261758141433,66.63729057016437,64.58757178847401,60.931872376956235,57.77066976395111,54.724035545079396,51.86136427301568,49.24403032697601,48.40516317308057,50.12993335257979,52.285501216545214,56.06123711364365,55.56965997034672,61.8488089731626,60.931390006723596,63.43243494616991,62.50889931872675,63.75478975474168,61.387761939455956,60.840948157782144,57.98234220663337,58.27058496691886,55.61997377214195,54.737196578191096,57.097033776875875,57.382313084462915,57.50504275773925,59.9472734082388,57.63313097449157,60.25957651062013,56.47076827589317,54.02393885863792,49.37950800080652,48.99099842687828,44.80001610917099,47.361144912179235,44.49415356729198,44.612847889564456,47.85738397270629,45.88497418409322,48.995179864644086,46.08307606252949,48.99486542328852,44.01574545706337,45.42584370469756,43.91367061503168,39.39609999964391,40.19228887949939,35.92294158948084,38.108843114615375,35.2703081769651,36.810303179587216,38.04867337878653,38.322616371906435,42.07181989703467,42.35014853335376,46.821960003042285,45.21793531691492,42.079651258140345,39.18476053016974,36.64556717911196,34.67608794408034,32.29005327819635,34.015396468596805,31.74281848245907,35.485333590941245,37.05253440922129,42.02143546403141,40.281574686101564,44.26399693429925,45.94568332947545,47.38447156486716,43.859516957559784,40.677050129163845,37.18504022641837,37.56794711480065,37.053404482486314,40.60571796968381,42.20003543748469,47.2889213018261,46.81678883228307,44.63895102061538,47.99031141470983,46.5184275533686,43.30776044064327,42.226279288784156,41.04585556128002,37.8372519163109,37.940873541020615,36.70800035373681,39.83582145945913,37.742123215429864,40.44238577407432,42.21697017287582,41.5966843633586,42.001912964754865,44.00141040772009,43.16461316754956,43.73390627834777,47.40233817320064,45.407466585685036,49.98357312696264,49.31912036666599,46.009182456455825,47.743874109719144,48.49076810893086,44.84090299095844,42.57679498549802,43.10072971670538,42.62207528407307,46.668927271486375,48.231555276879696,49.61928401055719,50.06669314287823,49.23732401808283,53.870563068099706,53.88250535138056,54.03062094597204,52.35934500532865,47.94727654837434,51.63480483409302,53.861295239424756,51.8026463439919,55.931383486065755,55.77756880665431,59.23441871227604,57.449635213505864,58.41629597619316,56.646119661818545,54.054160200613744,51.87186263737085,49.04674372480931,48.559665989534935,47.389823731894325,42.5610164170887,42.599759306083094,38.623671909987515,38.32016034089621,38.06577806579901,37.060948005749445,34.547904372341414,32.89873508592548,33.773312742333964,30.679153432383433,27.320860074313895,28.725065794831544,29.76176241889977,24.594515045274598,23.255563992788467,24.273915294012454,22.7712651708416,18.9639762951165,19.484853803380858,21.194804408241676,23.795294639155028,25.962240105033278,27.864854516309514,29.40827353571787,34.53031473005689,35.71803835733098,39.52152628250512,41.48226656706331,41.997509477919564,45.41560017691885,44.851842711374864,48.76414978947673,46.2847661435294,41.766887113031835,45.80817497659732,48.12090860022408,43.80433937564694,43.40776753352055,47.56708211332247,45.96072710752438,41.70738313862239,43.60154519328593,39.45214012596105,43.417930101100666,45.051625654870875,42.60157487139804,45.215112203241624,46.07214362560435,45.27269222594965,41.67952473522586,40.74519414030751,41.83503092512672,38.585104247492325,35.692069934729204,35.99159306120182,34.21095072194565,30.909471423600298,33.243181789150285,32.61975864111316,28.27773723079921,28.379895887340254,31.389648992773783,31.361904081118155,35.49377812760795,36.92222496859463,39.867581098568344,36.11204493221081,32.69296021817963,37.600308886826596,37.008043993431585,33.48669994192768,34.993657303360166,39.61741682743431,36.297115189552486,32.97958966765006,37.40073115105557,39.913905999553336,36.45477155756399,33.745199517793324,29.494862853269268,31.332780690536683,27.1967450302819,25.76555097168925,22.587657801523086,24.412467319574898,21.64545999361936,20.68848732551664,24.217833755799365,26.785873250745443,29.49345738174954,30.929658595429654,30.271347883178773,34.46106553377619,32.415214422363846,29.322702126925797,33.71811160044619,33.5802504806034,34.93362039795582,30.95399688474993,28.044186583197007,29.70503922245598,29.73512352542341,24.329963824257494,24.655625699900938,26.828333039384088,26.990212517019927,29.120837389596044,31.311317597779315],[15.240446141692109,16.492063860314627,20.389690790219767,19.089953921920145,25.02041437878065,24.659982580076935,28.023349578539218,31.461270673716125,30.86250917371592,33.338207837968234,35.63736573224203,37.704751448417625,38.6542167338373,36.750178630202534,41.61300740770964,43.307162144874226,42.041915832241266,46.34167644402296,48.21461715105713,50.959393855287,53.92004438032856,57.661451779628166,58.052365445713406,56.83769053544889,54.35946490006958,50.46385448469307,48.64909411293509,44.98785238713057,46.16068929163943,45.74785073470324,48.805258551963725,47.997007080364455,51.2044718168454,55.14368025691795,53.07932364864748,51.5243058141031,50.300122892419424,50.840198865340824,50.15313115021846,55.44908946727096,53.195189909726544,54.179336700462464,58.41439492744306,57.72912482802729,59.50368775656465,58.95517299825108,62.78851137584226,61.810731862314626,58.07355920122515,61.7771094350275,63.588832352461566,63.02915454242853,64.70374105496268,59.82135104571189,64.70413440749428,67.25220118660287,63.57475982229769,62.873655573668565,67.75287881084634,67.69383485006212,63.56976077041827,65.09929067133766,63.034159783196465,64.53924676985213,62.34143572821537,58.7845510389085,55.646507922003906,52.76590021777298,49.83874230470923,47.45231440882091,46.50662287882261,48.3308225460602,50.57972966942173,54.17514976637159,53.82724125680904,60.160803907175826,59.08047026942485,61.76500688250967,60.70875069875355,61.78333355724313,59.50404820455153,58.77011400886774,56.10508385430132,56.20023109532001,53.39248561327846,52.686563144111425,55.01606789408167,55.5846129392769,55.609675470756585,58.35658755751388,56.02261001048179,58.77419011488062,55.08668244617334,52.77652720550246,48.07822906064998,47.89186854285001,43.62247176207131,46.25261248970663,43.43561576091055,43.87563344666374,46.69202089821212,44.77829353553352,47.55202684889742,44.646382590407285,47.267318459892564,42.29036351558152,43.792342562094845,42.07134574855591,37.609813160632086,38.598808231704545,34.243995107676795,36.199432439039484,33.44787835242439,34.6514464089006,35.97388087961504,35.97102428726072,39.75916138462427,39.78086735115438,44.392143382047706,43.055645505828544,39.87317134054145,37.07621700999394,34.24169904537258,32.370107329078486,30.162381539819407,31.642683465216543,29.759354522526124,33.30646934132726,34.94111259458965,39.94124003840155,37.996606393720704,42.09927666313027,43.543608010458264,45.20707252236502,41.407722516912514,38.24343994289998,34.554301034924265,34.86978748321084,34.273899041070905,37.91580270610363,39.30036620300589,44.41666945953503,44.15030775650133,42.04698617398067,45.47815599219505,44.26216910221499,41.02548153466907,40.2164451829628,39.16277586889815,36.2005589468269,36.55356759119188,35.67253738413805,39.0633342092139,37.42431142809915,39.903420018346566,41.355768884962174,40.41922838555584,40.712651189096526,42.468865877782655,41.444374455874765,41.605965638193666,45.274872056269416,42.94140245240819,47.574713060729444,46.678327536976994,43.1403826473174,44.93807483863927,45.50017718748732,41.89180990835639,39.64163348322948,40.33466545344472,39.94896480927737,44.175073099840574,45.93033859314215,47.49754684752387,48.18734914468601,47.450014255963616,52.16783830631204,51.88445501433925,52.06406182993478,50.09321750306186,45.88269087565994,49.382858285732254,51.4664627139808,49.3180925418238,53.40724190156785,53.25855252018353,56.57161027386125,54.60773833595161,55.60250163593995,53.77891025220142,51.32182220313936,49.11946100301762,46.37238378312718,45.993595364271044,44.898706122025985,40.106381807255616,40.38254711905863,36.50604737471405,36.44123507024556,36.44060391956821,35.681232297322225,32.929885366531764,31.225950499861288,32.53532991723704,29.484240806635643,25.61303488966676,27.443524640077925,29.066860032313308,23.584345215526827,22.19412417724969,23.762153472367636,22.421895601779717,18.160357769077027,18.989649203854952,20.165306983111954,23.453403439388467,24.66136981355903,26.72648247143137,28.73128758456841,33.75618318738395,35.39287373682314,38.872471208483276,40.89347816774092,41.13229464085996,44.52235111709096,43.80799904856098,47.59643721898189,45.1087917549954,40.37073734704062,44.34301470235813,46.54675434657014,42.10795339331409,41.59295104639805,45.646984210145874,43.94019603214897,39.63395695723965,41.35382076063541,37.465524787888405,41.603612934522744,43.42580693116102,41.30582919544628,44.06264281728464,45.28289586242178,44.36032554442216,40.53727840984003,40.031904077831626,41.29575995590425,37.78920550266365,34.93882784371525,35.701283420432574,34.000550426548024,30.474653941180723,33.09878162396372,32.825887064323155,28.44574545473624,28.408642928342047,31.591868083829844,31.175768193064425,35.19906133306431,36.30371741478689,39.20841097369312,35.612911201861145,31.821019079806277,36.54754678080644,36.006486578406744,32.40746725975492,33.50436854621893,38.23957567465757,34.91864862410089,31.28227395915405,35.53745660909125,38.21820295810108,34.69689541490504,31.766403812312074,27.38091880202398,29.16891279317455,24.841716535606675,23.957827613170238,20.459403059549356,22.585849810579177,19.848305669979162,18.308084495301273,21.77688763952801,24.234041062262637,26.960476794308097,28.79596051608129,28.08305666040154,32.38301755018046,30.292727501047843,27.621002862611512,32.36502845837237,32.570231177580744,34.03239124092917,29.704583068197064,27.119116670704123,29.21536675981376,28.831308872396633,23.391078720076624,24.325138062018805,26.77987621318238,26.996201789353908,29.18190279163743,31.42329700478316],[17.308083688284185,17.998060845561653,21.391820946396315,19.604907765950543,25.295633271736136,25.650335143322174,28.804796136752955,32.54043060025938,31.96220655134373,34.07702788367461,36.53807467808929,38.86302330418632,39.36080683376087,37.32255935040001,42.317771868323625,43.9806880703726,42.37128028840516,46.570404398434675,48.10346621047171,50.90976864112618,53.702122866148414,57.384063540610605,57.620892279963066,56.20541565936661,53.85540707209904,50.04010837800967,48.382915522527085,44.874308563830965,46.34877280529712,46.228158316343624,49.423692516149195,48.80472514036294,52.17038277976435,55.94444382294875,53.73190535486428,51.93324110576032,50.80655797766314,50.94023265440333,50.07551368191817,55.31360562095276,52.760563963298864,53.92116586223632,58.15765499063618,57.251961425498045,58.856599501420696,58.11794257668029,61.96338958106415,61.204886212882286,57.363181373606494,61.010163659668166,63.05210832472871,62.58758586236043,64.39556821021515,59.5665309966822,64.66379114328298,67.04180526983613,63.30653882389632,62.86953790932392,67.73189751108441,67.41700991367651,63.371498541404314,65.09328397836563,63.206127477249865,64.51588532889008,62.180186515615716,58.77033949413382,55.5970997468679,52.92748794386755,49.87162820980606,47.740194260193036,46.63105988798708,48.47018153127167,50.88645161258735,54.301699308831616,54.17924929191469,60.55421334576688,59.36812691953135,62.25032718780196,61.09532398672071,62.00580417814652,59.85435123790759,58.932490949467365,56.49394559154533,56.37897471250062,53.40046910602324,52.893321466230574,55.158993605233135,56.03770352627155,55.91692012471539,58.96286512244435,56.57384059832465,59.394805038892244,55.8155851328019,53.668180540032715,48.94348352122291,48.899176352055036,44.58342708294215,47.34467861704779,44.61366908824357,45.35592666557292,47.79779172511412,45.966443688750836,48.41609752612252,45.52806130497089,47.831783383620056,42.87426624566676,44.417981403974025,42.456217713499136,38.077574165882034,39.304767934338145,34.92121639164224,36.65030145934023,34.02049190840431,34.83613971342594,36.20470451910817,35.85882328010844,39.63753067320424,39.312906936324715,44.01060686627395,43.02646610245487,39.77668866295467,37.1477795404377,33.99683183559304,32.32176536633021,30.390213721366134,31.59621105357921,30.182637269494286,33.46751115637146,35.128842252501116,40.13124040918294,37.89516903240411,42.08109231885748,43.27076982114084,45.236969488570686,41.140393272312906,38.052382115213135,34.089902112483834,34.36090933921943,33.65047269796323,37.39139332137879,38.4170290407661,43.54610520554235,43.56848102823586,41.60734219377133,45.13388317877976,44.24330963324359,40.997305224212504,40.51769268366485,39.62492468646087,36.93503484574064,37.53446498462633,36.97321859849105,40.56568600538347,39.28237815997455,41.56912270139707,42.76506122293689,41.55355343337597,41.758080593820324,43.264374504581184,42.06542590159321,41.78373502371722,45.42789157114876,42.69582941353869,47.383283802038875,46.1860324810609,42.33371326825963,44.196825011655875,44.45728835679336,40.9019366550435,38.72831885655327,39.66706844698122,39.4422531540421,43.88688015490832,45.87795991418611,47.65336976047433,48.60755316457263,47.96917473925218,52.75911359854834,52.16217266766851,52.36989480263259,50.060471223097665,46.091112070314104,49.33275670172186,51.22267875605446,48.99178089552578,53.03866463546855,52.90534459541023,56.0110032222938,53.79897679798949,54.825779575150754,52.913538655363766,50.64738534709054,48.3863739073033,45.736576307235275,45.46068481936596,44.39101239017811,39.69240685480838,40.19846911062544,36.415526133561755,36.705462186199796,36.83960032351622,36.42055209531675,33.517411949553264,31.6223479187507,33.299025725407475,30.443534230318992,26.07012225651303,28.137392256123558,30.33368733046703,24.757694565140064,23.189080766385377,25.111958933995282,24.113444357464314,19.561111300387424,20.310281393435684,20.975426753944852,24.637194400751955,24.823092801501993,27.228924117764635,29.54699139832337,34.361526564187095,36.23974100870343,39.49675700925788,41.73112583623291,41.83957325131097,45.25883227410379,44.55765515453588,48.14255484298637,45.537762268588594,40.743242581882356,44.696279288726345,46.64615654771278,42.084980155082086,41.59070403417654,45.53253233157653,43.55397501273528,39.23883480611371,40.976200175797224,37.390751236130946,41.82284087830187,43.76594114257303,41.957322925063146,44.90500021877,46.406650937388974,45.4897011742341,41.45737363568387,41.246858717316265,42.73486421776036,39.0961637330915,36.20689615314169,37.334645568435676,35.76764203182749,32.05781249059576,34.75375710357944,34.77951130684377,30.470506927007374,30.17446135110552,33.361359006459224,32.63022324792857,36.55955382625835,37.49539872833994,40.235776349468686,36.67623475657791,32.73383857867424,37.25871404042056,36.585862454035045,32.94753687511038,33.79186273080938,38.439560869910444,34.9616946008766,31.20401309029428,35.33656367166199,37.957191558960794,34.259266724374605,31.235454347221538,26.863501158167356,28.269227038976894,23.816470320765035,23.485566644866097,20.038843599968146,22.677481129082363,20.286178895825795,18.01217677831032,21.321918395038928,23.425698680482583,26.300384654372095,28.61403806245436,28.081946748029303,32.4851398670504,30.48178428550539,28.267420709756895,33.310292353512274,33.776381514696375,35.38993674233689,30.82151862090077,28.482762213049053,30.936678086321635,30.29193970087274,24.87615413135123,26.210134231597507,28.8784982348658,29.15024905873802,31.346726535576217,33.59190114802278],[19.312953560491685,19.370860166333195,22.067084635070177,20.200729292897435,25.378258728655556,26.74264299244286,29.77328974084714,33.75442036202163,33.48790810126896,35.32672612455252,38.049864080409506,40.503449267755855,40.483616479637206,38.53586515056126,43.64907752293795,45.13794481591313,43.169448307650654,47.312740111688,48.54483163185769,51.255470337089776,53.926179237003836,57.43040086502998,57.58331824204929,55.93863361378662,53.64091001183284,50.00477601952607,48.400063214340946,45.10111538260937,46.887544681501424,47.00588452996848,50.560957485945245,49.93910298313049,53.52479779542108,57.1492783557452,54.689296190297846,52.67282136079238,51.48691096291466,51.2148036613964,50.08110806869903,55.10288432208491,52.360663473241736,53.86152600542574,58.022589254529024,56.84001587235242,58.3316658674881,57.34342920659362,61.16845534470355,60.60491723554682,56.58625486854337,60.060124071871385,62.357881125604656,61.90471075541386,63.90032532625879,59.20238706116197,64.5103890263321,66.77765586247754,63.07270049911703,62.944480285147094,67.78495335544457,67.2382146048289,63.388870868728894,65.40356924591453,63.74104096058782,64.9527403356843,62.39806493668879,59.10686193941014,56.08576340543672,53.631821376240225,50.590862602005615,48.77023644655167,47.582292855307024,49.5622760375371,52.028071786414515,55.18398727485504,55.173022066606066,61.55548377644047,60.107494125784015,63.16081393179476,61.78821974044161,62.43024197688248,60.29890228198005,59.061918273954234,56.786675457622216,56.34657078759713,53.247705048231204,53.08226248697337,55.41883429876186,56.61182003406906,56.51755544551938,59.91153639911957,57.60145627718644,60.60623930802014,57.16291250422557,55.1374972252885,50.389830822187776,50.60507042381772,46.24839949923031,48.9159886219598,46.18885169735569,47.089238976271865,49.09429418150258,47.12647084416727,49.25593604300057,46.198408601744504,48.00912583262736,43.063209229306665,44.467124002958265,42.16783360995825,37.90329820484148,39.50897541002726,35.234856633394884,36.90089757941355,34.62510995243635,35.09547836394512,36.761078617356176,36.09365339739911,39.931644500644595,39.26687284666936,44.19541938537214,43.57509013912008,40.347614247270734,37.85410463944042,34.33499185585558,32.7423261219007,30.987400061745703,31.621482576014895,30.480166984963233,33.37074789065405,34.85589507818915,39.81812245271726,37.116754892867434,41.27779437550535,42.28915272238275,44.65693970560405,40.34367280056202,37.51173892576624,33.148232189109684,33.64728920646812,33.03762014767751,36.90562574282028,37.710562340417475,42.83491140790643,43.23556209933643,41.335597497012316,44.91099192143168,44.39684642519887,41.136511538962594,40.96832427442719,40.10595238921398,37.79001673302938,38.45762567189691,38.39254543014071,42.03175258019718,41.25890222723274,43.4592365622377,44.295865872625676,42.86553837666822,42.7853801227065,44.1525982025548,42.54197026742902,41.828380643851595,45.58562829340095,42.41968911096309,47.09104903090394,45.44660897166551,41.28642421474358,43.01590113177368,42.913259779443734,39.334104377768334,37.421657773760955,38.559546179903144,38.679094196194846,43.305802396604356,45.55926858512443,47.618421780705305,48.814227418614315,48.46082445987808,53.18991254265962,52.25547161927263,52.365220404276585,49.68633818619404,45.908717303421035,48.737755900206054,50.378948544341,48.168850138278884,52.29788578955244,52.344229132991714,55.12178427213452,52.7541130866855,53.6356563179902,51.53917258029349,49.46153207701027,47.00199380500166,44.398318728053745,44.1227194611658,42.94651849459297,38.40898705601999,39.045002690007216,35.32475956226427,36.10354960528866,36.19812521062368,36.268869692078226,33.33073419702808,31.042778169848347,33.04165351707542,30.592830235833222,25.68600757059466,27.79919954715805,30.671949178699577,25.20830150151758,23.31092990368243,25.527083631784272,25.12721535380271,20.3463715809831,20.740674186904535,20.772435730269912,24.70588252620129,23.640733785853637,26.468882939945978,29.072657279383584,33.5457392487044,35.658424240169516,38.635279447518805,41.1602951516218,41.172507296833246,44.643158029482684,44.068838062275155,47.34895331072321,44.54954149043413,39.820862937150096,43.78056001837873,45.34271606349282,40.67390275110213,40.316712322119336,44.13912840950409,41.7653045506419,37.49163828270262,39.43744570743169,36.16152750653406,41.01160653625864,42.98650130042597,41.49691995546547,44.71542616048266,46.48143820441714,45.71903685356464,41.44559746784087,41.46113792297942,43.3095486018052,39.640733930052875,36.5916942448996,38.13368648257376,36.82823994548589,32.88020438890525,35.486183682033115,35.92560138512735,31.82509077014809,31.049207919684747,34.134671439600744,33.00193449968679,36.786770332525315,37.590560684702666,40.028910763960745,36.47150219244307,32.484745877005544,36.729933944826364,35.80183860235173,32.16262880267218,32.81417116530077,37.2168604727842,33.51595426702922,29.757930783868634,33.77093311920166,36.181191949422164,32.2781459652013,29.246863226340828,25.01846774894243,25.87682669708535,21.39703871313611,21.600936432572883,18.461937274475012,21.706244029901974,20.002443876579697,16.95098537902355,19.967024909252242,21.508123061302335,24.61568551272936,27.370909259595663,27.331422006138006,31.808160487142082,30.175327042696498,28.39414193295482,33.70629977242075,34.34385239382525,36.28806990938382,31.58526923213203,29.356825302016286,32.26265434796539,31.617670257222677,26.201102978568862,27.76386145227546,30.81591436617795,31.31689330392052,33.60897314589621,35.85674978008522],[16.910172135944357,16.191032472741018,18.231260946855922,15.834117307352194,20.737277997770956,22.574172946880353,25.41214972181714,29.549883196290438,29.473922094368337,31.122555292500525,34.04156838488534,36.537917536801004,36.15954980524152,34.375797725035056,39.53412896923738,40.851394926351894,38.730384330240724,42.89637009649269,44.1273719039961,46.68400822434767,49.40173833646997,52.80314327463541,53.04044347564368,51.407304531823776,49.00289541637962,45.43280428370099,43.71957245802119,40.46233793767729,42.30572701609903,42.471893304384885,46.2820276048433,45.576557696873,49.299221107535594,52.83969990892263,50.22660376029136,48.13851648270227,46.876274430920766,46.48894341414403,45.277828095488495,50.23181239513472,47.53723716734623,49.128312453021735,53.24801999180114,52.04849441047528,53.61382350158241,52.63981979940625,56.457392421442435,55.81563133048214,51.772786618187084,55.23751824647219,57.49136837865675,57.00960553776671,59.005730738836206,54.32127672197668,59.64058895624499,61.92114495534449,58.25476163959982,58.1570005145679,62.99696181372789,62.46019277258925,58.6823298683164,60.78779730275797,59.18591661033181,60.47578386839527,57.82930101360983,54.510580834192666,51.67373080250125,49.24417993680614,46.35387471874164,44.649772081314914,43.54720662151259,45.741948631924494,48.05647981648664,51.06620391663904,50.94822070934548,57.307972734517165,55.65602207647353,58.73917854985929,57.22976758770697,57.753135688599556,55.58633050910416,54.24679922614283,52.015819988443816,51.49445732143675,48.369923219392874,48.283765137014335,50.6688000682207,51.94733707798278,51.9249292971813,55.45778091035612,53.25263333367841,56.411578895334095,53.04648744440024,51.05581295038893,46.30225774293877,46.746996793532006,42.374870180188516,44.86683971260074,42.136730182911194,43.18571419050726,44.8307715466543,42.84963080317119,44.74216949056156,41.689790631540085,43.335357725650226,38.43216841487358,39.94296496707679,37.60713343961307,33.41057847378413,35.0393114686911,30.727754602626337,32.20683885922196,30.035244438445098,30.346339284136665,32.16607542465593,31.43709897661961,35.3444786363652,34.687312506932514,39.78514396700477,39.1778388348421,36.03979295881888,33.519570197630244,29.887952247281756,28.19201039384051,26.427747425630276,26.81192855511009,25.825973350961604,28.583495675504874,30.134094243929038,35.0758760363771,32.41907350010847,36.66654806860966,37.54567691889152,39.89245836772743,35.49732042189949,32.626041572713106,28.294121811441215,28.73336858369932,28.172710495518942,32.054107182869224,33.01583504117307,38.15149032606159,38.54147302127595,36.56046749823024,40.11132367644663,39.645177261485884,36.377511731879984,36.28120949150323,35.428533804430934,33.30145971726896,34.08173731835447,34.323367593302464,38.08216414586904,37.75785133400275,39.75547008329145,40.27577095228855,38.646980902713715,38.42868657876137,39.657349786600264,37.89867651470563,37.00680030213177,40.7860809271652,37.5473918302137,42.20443555752116,40.535781927641096,36.424535446944475,38.15383091230794,38.157916393203976,34.585969802188586,32.5875862887188,33.68563721590006,33.76627638041648,38.39219886005679,40.66901773036915,42.77231989477874,44.0507352944977,43.76958714467388,48.49234098826624,47.4365091694991,47.55343132740769,44.79771821636186,41.09735172449566,43.90367409740847,45.5392682463503,43.28611774037229,47.3872005984856,47.437303847060484,50.23115938121962,47.91338677788663,48.7812623819248,46.72722602038588,44.59839306027906,42.21809352837519,39.637515195360564,39.43932716871759,38.41506394957952,33.838216297279274,34.64515323228195,31.067249327556997,31.785023812393657,32.27133693167397,32.324635162813806,29.156328640672683,27.14602922669033,29.506163120328793,26.911149530208444,21.818203112465376,24.506098086823158,27.651230405746166,21.922196857255905,20.340074860130052,23.10129120921549,22.53410471128403,17.66672440368618,18.845771023298745,18.43857215437082,23.04784714175802,21.56148452796523,23.981704719083808,27.022720856823927,31.483247377479973,34.14249133065512,36.693397136752935,38.871678798713674,38.45654739702264,41.724450023145856,40.759202931905605,44.07823860451714,41.54557871945546,36.45400141389225,40.200521878956394,41.974818743073904,37.308562191063544,36.59925322324694,40.31662406227197,38.26542618528269,33.927597022414865,35.334811330189815,32.206146643320224,36.84889521753288,39.03616097939208,37.80090723821062,40.944979016154136,43.01968497375746,41.96748307787864,37.62123842488852,38.11674590879092,39.91583737585387,35.9829125745693,33.19321290735983,35.10141918391924,33.78566395027618,29.807583084177075,32.839485029579954,33.50618525661291,29.37990041062363,28.78786464495556,32.11499747567423,30.729898690313767,34.295000545330886,34.62167598028219,37.210462840638925,34.07651822458787,29.605174033057846,33.64403804399365,33.135958691979006,29.49652099753567,29.552229685573028,34.307826914777216,31.031061945098383,26.770742083702444,30.46060534376663,33.40759142401178,29.80241285175407,26.424096657234248,21.911447559956123,23.413153210102546,18.77122324799113,19.491580497157862,15.48269064829285,18.409978150062738,16.3312678768619,13.066759469050544,15.959986695508965,17.777505827075164,20.54250239770178,23.440021994932167,22.921257949643895,27.373949031766987,25.5385430932953,24.112723905817987,29.556899132818263,30.532351542228493,32.407540302599394,27.495980807036457,25.714626743990383,28.877340343950138,27.793502001962807,22.583639459276373,24.727846165711288,27.868209182123092,28.397220118828738,30.686856063175856,32.91870705413319],[20.648113882843756,19.666640257726087,21.22029321697011,18.154068967966637,22.522678965542017,24.88520118482672,27.25415248166719,31.615679908506085,31.333363095746225,32.42724845195524,35.381574054604215,38.219114129111574,37.35104409769548,35.27561537316225,40.48983227281802,41.846344583236295,39.334454044040996,43.25285695518069,43.97732691817519,46.69105815522923,49.109676950339534,52.475248351569896,52.44782850654713,50.57244922750608,48.42806350678788,44.94590616349443,43.55500596072732,40.52601757944181,42.73823193701353,43.326913459948535,47.08576554394438,46.77402346052472,50.59175589016458,53.870302403703036,51.176625444301855,48.78354153221053,47.78534360995704,46.865804319028264,45.50150752518217,50.42859418694099,47.268609643696735,48.961470671295594,53.09117054692579,51.64229664091606,52.909998804896674,51.72037725510927,55.54450083240435,55.23493940139684,51.142259005861725,54.57936079516978,57.11565345440813,56.83716128968127,58.95615139867053,54.331994020431864,59.89197387547756,61.8786353613897,58.098407037207245,58.325833390893855,63.10332578869451,62.209638131100476,58.48319778250307,60.75482868538753,59.368561996981974,60.319708457619825,57.56914964635378,54.50153145381283,51.51496619131601,49.39372700906337,46.27258346918321,44.893832146528986,43.536125170907,45.63321636750896,48.21168623289044,51.001057439304674,51.25649553828835,57.62500484700091,55.961269081214894,59.28918109651346,57.753689701930924,58.13441098823793,56.23965967190276,54.76431415973726,52.90949476435584,52.20737109642205,48.85502184859638,48.9255487159829,51.089005763083094,52.757464492645816,52.413982906658696,56.25752309596497,53.90843001516863,57.040071029774815,53.82831327512282,52.094713632332066,47.37084734685901,47.89861711750034,43.536717055512625,46.311023370494624,43.79195404624218,45.287210589789645,46.51210861739198,44.837312123419345,46.29697560787441,43.47376382659214,44.82852784738843,40.060889320590334,41.74343782102058,39.232454775782834,35.23600412953634,37.00172313621648,32.67537138764177,33.67329617179017,31.544799478300874,31.292456154205624,32.91682197680078,31.718957281808038,35.45272234346595,34.31155833506363,39.32488504736409,39.210676280593546,35.986172111665475,33.78542468107676,29.8569448796566,28.586030019787344,27.35693471929717,27.574465991231804,27.447884496053526,29.838042879874696,31.539078384381934,36.360080980697184,33.52785689129468,37.86569382725883,38.29544070608901,40.92851181263691,36.15000120551718,33.31639093347751,28.838557855973278,28.95874666705468,28.06488017647296,31.952525014531993,32.23696300613012,37.301237614482616,38.04375597844419,36.371653078644584,40.02191382077096,39.982688754356566,36.778862226547865,37.148498292781625,36.635241719896754,34.83707667177422,36.04271502733524,36.509686034715294,40.53237684239886,40.476868871200026,42.14606901432802,42.45060758535753,40.489061637261734,40.325001878620576,41.13036999670794,39.38145824904937,37.9152181563083,41.46558451049393,37.76998807177474,42.464843978597,40.516021743138566,36.01478458356301,37.97204462237498,37.57137578488135,34.219270572568455,32.22813962644973,33.71629902992114,33.88224000841856,38.74671845317051,41.2866359803223,43.57339735144953,45.19975523832705,44.904096464821514,49.747077549589534,48.31730193644477,48.57125761730724,45.4278535835879,42.16642771968368,44.69447855703002,46.07997456807939,43.660934313051364,47.53392445947057,47.473638909581396,50.03565139350794,47.31807332958598,48.36376664005827,46.28201735373617,44.464960969359744,42.15519569137012,39.80859220570616,39.855399440213226,39.0086928746978,34.62381712054193,35.83070400903826,32.52841647398272,33.58928718592751,34.39337688372545,34.74573059769831,31.401899859130825,29.41124196453964,32.17119302599008,29.733650804895724,24.341360784009503,27.323229015145362,30.879037652147108,25.15954960855997,23.61241454708876,26.610476760268984,26.183997864536895,21.311750036186528,22.524098334525362,21.761782875878534,26.526170255063608,24.17783633855359,26.797388017361836,30.07808309511459,34.23725592349338,37.109200345263545,39.3819166236481,41.690544224627175,41.09339334565514,44.30560521233112,43.27345573547061,46.359827651710496,43.801660451393836,38.64842194118896,42.2493829841543,43.77187007252195,39.04095186847758,38.26725437424389,41.74595740809152,39.48327542577131,35.198870461061674,36.4044392901675,33.793973690060376,38.585401929495866,40.958727643556045,40.14709359665669,43.38501171604334,45.77383481351002,44.621833053744105,40.14629549491793,41.03716147493847,42.938281878159884,38.85921669933627,36.201536313774234,38.41154965186857,37.15953653924313,33.149989802117176,36.2960230264166,37.14495845244014,33.07197210443765,32.43242215278632,35.75355763760771,34.16740977517916,37.578957312605155,37.68274468263565,40.13488935410249,37.1519757343089,32.562561340028985,36.29504347831774,35.75193175789569,32.15685860969435,31.834737950823794,36.45939482639792,33.148590767754555,28.781042956810168,32.136636618722726,35.05005256191643,31.35731129815465,27.89431338438596,23.523067430062373,24.52095178305727,19.885317151781713,21.462283558148584,17.66011101291901,20.92205962522915,19.193609874424002,15.380375930883087,17.760070392937287,19.015436907793397,21.709043007385727,25.18702251497163,24.668302597993673,29.054608379667343,27.175921446378982,26.451584634553633,32.03428819738315,33.35187513451359,35.18772377641748,30.089842938459324,28.766409813340726,32.09414336208981,30.5707627969196,25.632982082822572,28.186263127138062,31.26847090642762,31.687513939694682,33.86323433931891,36.043552792781675],[21.60108355528715,19.884986721388483,20.397553863719082,17.06720466392308,20.409084909232806,23.792104627949403,25.78487775598772,30.285716125828657,30.354087796447,31.06627331747437,34.268091487147245,37.1614794247383,35.68396821118995,33.83632299326387,39.05961137651902,40.142787961201805,37.29412745836511,41.12319521042595,41.60943573396846,44.10435897010366,46.4446333144082,49.57202533233627,49.54749292473538,47.51952322220099,45.34760708772359,42.082637051482024,40.66550092529568,37.870931384860725,40.34084951621381,41.1416223533069,45.29471418918203,44.92720607273984,48.94969492417999,52.02748043984856,49.077206675691556,46.49835614592377,45.417122554017354,44.1129128500139,42.49840928114796,47.16942019680824,43.91323235287743,45.92395627868346,49.9348546372079,48.270024107167416,49.499973966078734,48.142373288425404,51.92573007303647,51.702933882868344,47.48594402307706,50.76466628344688,53.453106172156765,53.16350397521989,55.41392457992608,50.919824905458775,56.61806070622008,58.522089476255324,54.80629614609964,55.28579959333774,60.02177532122902,58.970289471467176,55.45940139385442,57.99897955594555,56.82764990537155,57.76074035390633,54.80173749089112,51.82080881330476,49.10996724077599,47.18353154004435,44.22335921639373,43.17399132665189,41.844231418731326,44.17535765785926,46.63803925265497,49.10643420213534,49.35541344657029,55.654611093623345,53.66828956083848,57.112644736663796,55.33441102349552,55.4321966008776,53.54279718734557,51.773021429074014,50.09242553257011,49.09682322724015,45.656919987582405,46.04153768536424,48.2682217366607,50.22030933489927,49.94784293554803,54.1088777003219,51.913119805879795,55.257887118648775,52.22552417633685,50.61748938941193,45.93180029291403,46.79427223133409,42.45920076572249,45.000682745443946,42.52243346226509,44.207994305805954,44.8611131247804,43.117708356333736,44.14958805822075,41.263360493787296,42.11606186555154,37.46839758541319,39.11995098606416,36.37131142334136,32.6035267915564,34.624912277268685,30.451497102459335,31.192645637164002,29.463323567058847,28.79291079244006,30.71320538304698,29.2226240489441,32.97321131409133,31.571258235996364,36.82430800199598,37.00873309105519,33.926753337517226,31.861369341184155,27.645251257323398,26.414778369113673,25.39164501927071,24.934423956534257,25.23910623963354,27.10308538319462,28.694916042550837,33.355041030306914,30.248749765154553,34.57792626670028,34.71687349365149,37.62170274353762,32.642083975845,30.019569279775496,25.31727404743174,25.530444361364253,24.747032815798974,28.681950645438857,28.867780447377072,33.87747010415179,34.92166529873921,33.265573593065575,36.8941755308232,37.199514719570224,34.03034874120712,34.7083603509465,34.2530698050962,32.92820808980591,34.258673753577284,35.281353799336955,39.33879130423979,39.925303502275966,41.363697206232935,41.205436154665705,38.98409041173025,38.53171748925014,39.106838565479784,36.98690717600137,35.056784287146805,38.64295864187786,34.58573484103918,39.20413907968831,36.89797173071136,32.20323198757691,34.05736940244063,33.428070155562864,30.10483555915521,28.26785723481573,29.90881923645478,30.32335529832301,35.28997343003488,38.035994393806526,40.55235318887858,42.416562997841794,42.38253737531191,47.125981316050186,45.364322315586314,45.55713194593367,42.09540642028668,39.09816910548702,41.260751437819835,42.431875698689,40.0004056599143,43.86851148100875,43.94025534737003,46.243578337197086,43.45120461767532,44.379814683033125,42.200871062909876,40.517864353158885,38.133919678945105,35.87713278714116,36.01290242718161,35.24044746818813,31.014755083593016,32.49119087244681,29.44995448960487,30.82777460152327,31.932909582669254,32.62276451528673,29.15378417498292,27.179887342645515,30.386632110178134,28.203296450228798,22.524931327848307,25.868692680187014,29.937141655028803,24.356565951664205,22.927350750923946,26.32562565601789,26.155879138689496,21.400204064506834,22.836939493234357,21.46152572321567,26.560331619881236,23.24508595822983,25.705769429014055,29.355809375873203,33.14255473960061,36.484279869514765,38.21756705231175,40.40877965308887,39.43831894626139,42.47248686328743,41.24080062126608,44.09733267436016,41.653283551525,36.350968977509964,39.71392409934662,41.10191897434368,36.37080305605161,35.41525601395762,38.64873302499622,36.389261519450045,32.157141007556945,33.01483641034416,30.857229347088722,35.69294278057496,38.234812577772225,37.882392480450875,41.191489532555906,43.95904606300364,42.70633177042447,38.09227867793104,39.490316884309,41.54897670770093,37.336334623140644,34.83868564305622,37.524207871922464,36.45517390345873,32.39427570685169,35.69350436272056,36.920727241892465,33.06239297267818,32.29149646342311,35.61798199326898,33.670073502289654,36.74521076355121,36.415863800053366,38.728386866238075,36.128504700067055,31.28511056135148,34.55804640533604,34.17957602335564,30.69127906497583,29.76058192397948,34.36472875334093,31.320490564146702,26.683418817730054,29.547380234338107,32.67950847364957,29.17803079160356,25.521768540612403,21.215108734444065,22.245330073870193,17.707788315068694,20.14945592213368,16.18691926307643,19.38259353967917,18.022078959171562,13.791901629534705,15.444208174296836,16.270424853693523,18.651149839133538,22.54783834777085,22.003628293284063,26.251049478484063,24.53620394662929,24.531677615282764,30.2046801394318,31.87246009866148,33.81861374164557,28.627647997801287,27.784428528386787,31.456633451760275,29.661932656478893,25.093948851043624,28.077947758628348,31.32469816536574,31.877234771559866,34.03211356692749,36.15077647487662],[22.04124756905037,20.33510160724878,20.869732785198348,16.476242763230697,19.82424155762974,22.624850869473676,24.060027362712926,28.63553720713137,28.083625550892016,28.315472952316732,31.339261803738836,34.563726267800334,32.943306981761154,30.635089467558718,35.84567955461515,37.14656106362993,34.186305318569985,37.81835860464922,38.08904770538843,40.88717158541976,43.067032632224915,46.39916017540778,46.20630032669169,44.21424848800659,42.22494960877393,38.78803135955789,37.646667236878926,34.8147197188682,37.353157714638066,38.39468514450996,42.11859350533041,42.23252834399526,46.16207339201601,49.08100592773047,46.28531901998165,43.5687071529092,42.883558018995785,41.422081138967094,39.978587860272974,44.96245272781366,41.39784453771609,43.04781905313293,47.19877496219046,45.63604242938702,46.70340157065177,45.47875229667317,49.324025907184044,49.17110209847546,45.15253375404371,48.70010204960081,51.317592147021244,51.25876993449366,53.37007354723193,48.73136755713618,54.43977857149642,56.14727806626892,52.23997845548795,52.67381364349049,57.38435969284211,56.233009715182796,52.496784809192995,54.86024073687136,53.65376784864336,54.342097963783324,51.51610027862946,48.646323963886836,45.58364305688874,43.73404324871711,40.50138841700041,39.47863605051175,37.96142657981868,40.10889533832271,42.781038153017946,45.278083312816236,45.79461728959443,52.1240573482982,50.385475404311926,53.93324875396684,52.360408876186426,52.61562718429073,51.02432035366119,49.502382412779916,48.079313025544586,47.3112637175678,43.73042164369742,43.81920854095088,45.677051798056276,47.718767374206564,47.01550277444361,51.16595582658354,48.70836920249485,51.85584245379998,48.85675438016193,47.42350046204602,42.77606485108311,43.52219073444317,39.21900643160273,42.182741282230566,39.964159036541716,42.113191875263425,42.63081935887308,41.47757096231207,42.28506004457638,39.950373719659474,41.098811118489955,36.61756276792862,38.77912794654277,36.31859230075691,32.65169367121327,34.265301251360405,29.857600447551352,29.950399925110933,27.74920616687809,26.749601194064198,28.01592076811106,26.323171128659702,29.829759451982092,28.293940877789765,33.23065874851666,33.52133068623999,30.290159472850736,28.407597373219204,24.20983994255823,23.373597066995238,22.818684935358924,22.9406717578953,24.10614183930265,26.069353032608497,28.218802288962344,32.79170909156896,30.268070040815605,34.801281904506226,34.59017721461708,37.176886945157634,32.0038052562527,28.946112449655775,24.78110145032225,24.066358003232036,22.613047890550398,26.38179227585653,26.085334260452274,31.081135864350244,31.957001072903108,30.559669061625137,34.27582918780979,34.5722027578411,31.473982177518984,32.342455079842686,32.3125912182713,30.94827759427033,32.82949227736966,33.606219094410534,38.03462580175529,38.525060425116614,39.53863158580385,39.41409685015566,36.93873773538526,36.898196202401714,37.03846429997564,35.473472949248524,33.344018222515615,36.46892795449539,32.43011195728313,37.159984409399186,35.21443788773851,30.534332624371046,32.96345700736745,32.51049982666431,29.547994194150306,27.169599203328787,28.96014329026164,28.83208377444206,33.83530858495633,36.51739425382382,38.84875680148034,40.846949893088635,40.381381500584126,45.40457149004484,43.60091664598933,44.139663390565104,40.70738151900987,38.01180975900482,40.484733567985614,41.74247061896393,39.027214582248405,42.443330419560425,42.06390509284143,44.63221867267729,41.58495808697053,43.00861597553448,41.14100444158528,39.50376735861858,37.61083607652239,35.60130747011463,36.099622344991495,35.824299517732285,31.562674547789644,33.40104661340118,30.67624965374418,31.633954217195154,33.37512897018134,33.65684829150042,29.908040782846186,28.704754736290035,32.05134320770201,29.374601229356117,24.039950961589266,27.904781683573955,31.617201175806635,25.7310904284592,24.905010015951575,28.428633086471383,27.582320487246758,23.00629724662227,25.235362833917694,24.120851564981066,29.35773705954338,26.664820050723346,28.6405709656208,32.33399949799441,36.3056839314761,39.76891163096422,41.44689351492187,43.25215627745193,42.042211796502116,44.86033934862201,43.19544001602516,46.25254707541066,44.180867773593256,38.55762018723834,41.648353983864254,43.429899489159126,38.80353215568175,37.41150594831103,40.498279447180614,38.77644985312178,34.53931433655572,34.57380185425706,32.59834401103742,36.827072915160855,39.6409568732099,39.41958271303272,42.400634643881496,45.30554181734361,43.565466787047896,39.1081908443053,40.88048883927515,42.53046702967591,38.0432839010615,36.050361806667226,38.699639020673324,37.34431869487365,33.536760730802996,37.301559936743914,38.308504274471154,34.22157032484638,34.0816215486811,37.65501747446178,35.883804190671015,38.90700810202175,38.29897554800775,40.953632394605535,38.68431055910562,33.549656968251995,36.811912340489364,36.93236826356832,33.47666834440363,32.189987414578084,37.16307452823129,34.56609684023124,29.63638910916149,32.205322422635184,35.82044494825859,32.64964225031346,28.820313853520283,24.360834180294134,25.95336098242869,21.45971924391803,23.93519283013733,19.45186667925916,21.986092096505576,19.79730660069972,16.095868665543048,17.704653461186197,19.032387766262474,20.750515660373985,24.548629493457582,22.948323420582554,26.972590598793964,24.456979448357625,24.83265615046253,30.360512212209343,32.380255947332486,33.77162165044977,28.40281836994885,28.204111271724088,31.607124290764578,29.01207601022759,24.88846156399217,28.3977454004985,31.14437074316559,31.29162642130169,33.18078673148288,35.231271637709284],[26.654686159910916,24.74231047804077,24.77853541104686,20.624019871545606,23.07486725504267,26.737200169505478,27.882238738743535,32.502402918208524,32.172072329737595,31.98438970264463,35.10840417412147,38.44900899170469,36.264147397067795,34.00113355927746,39.145840335683694,40.27182905541425,36.89478091978543,40.22716387883389,39.914526543466124,42.626879178110066,44.45884402216038,47.515104767829534,47.08146220910428,44.73370724431742,43.00158215759666,39.89482037741278,39.03192397861062,36.6413131051954,39.61558033963664,41.066785379515295,44.99992515459004,45.28829117771583,49.36673780214235,51.98016872341575,48.97726282766563,45.9687610377792,45.369917775049124,43.27534494554797,41.50555006667345,46.13037255186185,42.17029422726209,44.214415054783764,48.209239958366034,46.2290242423705,46.972955430932906,45.35683149394991,49.12376905718527,49.39259965414674,45.215051204952495,48.493527679783625,51.529082475567606,51.60213698988636,53.95841582592593,49.561456044758195,55.538863888067056,56.94902050776903,53.0606634107448,53.989893319484715,58.57919567877384,57.003781297566,53.55320039451435,56.27278994974244,55.42477574069376,55.81895403779312,52.758402126848566,50.19952046372672,47.26529220644264,45.83903225032239,42.57184288100098,42.048468064232004,40.36126720782188,42.51736758958821,45.3152859532702,47.39567981497963,48.20992625836452,54.43180513103298,52.47219052533937,56.24818360318561,54.482304387486295,54.39842757423078,52.991611768073106,51.11036625554214,50.064807698208426,48.88974614873779,45.14018979958669,45.66322333188344,47.4407475753232,49.95008994444964,49.12798764005808,53.68597759542954,51.27528079021929,54.51767775370363,51.76651745950552,50.586734106083405,46.033304061110044,47.01149045650227,42.78479678694887,45.71929986711149,43.638862334127246,46.01914763891642,46.01645787532185,44.87557794738545,45.21447087294191,42.861069506193324,43.38124790546298,39.08542009911602,41.10717869985876,38.29840369187197,34.9456529550973,36.94041044455026,32.80015600997739,32.65817331447726,30.929918213381324,29.40586017260393,30.82203433433875,28.651428834688566,31.94883553756881,29.828712506889996,34.76191085996822,35.70970182257312,32.58445181199025,31.101567089834283,26.60600827799466,26.143699361714788,26.057751562821704,25.495263750373123,27.219100217686705,28.51516443767862,30.426294423274495,34.71652497666791,31.69708004231671,36.08730617063224,35.45861845516137,38.559777994960584,33.113343390691114,30.489050381519654,25.984996628334006,25.399821008647407,23.959241617136957,27.663596304422317,26.672066109844454,31.409539575438362,32.93252008911383,31.849466055359834,35.54227037137972,36.47818241266701,33.51418227745904,34.90266290815639,35.05340868106455,34.234774269390975,36.24959226716848,37.49781340667031,41.909878869831715,42.84387217907794,43.702571368625904,43.237918141065805,40.537847948522355,40.26434090173447,40.12004593428632,38.20953638827733,35.46276376580836,38.49189518909933,33.87971503857437,38.46000030278082,35.90601900836673,30.76536454095682,33.1043856027629,31.95980449947404,29.206937464970153,27.240956987586188,29.459133172344146,29.800107618211296,34.96463396537601,37.99651461043223,40.6590848918868,43.018988223814375,42.846139235739635,47.7453536825706,45.46738915739879,45.9572359696065,42.02144977284385,39.81574197120626,41.64613306493344,42.47276634188808,39.75062596890838,43.05604082618759,42.82078562361516,44.843602413408355,41.4253737627989,42.76765183256617,40.70528719145161,39.508516006546856,37.472659642499714,35.707680734920174,36.3394634574359,36.05484412827498,32.209641394406496,34.34190679161138,31.91460679443505,33.5050469278604,35.25829445208412,36.12444942517954,32.426904749643356,30.87330981935189,34.52005798457828,32.37239805791017,26.705357773112848,30.4765186433265,34.746050527316946,29.183289207212283,28.08123019279555,31.700215117890775,31.395691978733385,26.796137599186615,28.573379997367784,27.0113042508242,32.23471818003616,28.42323478214944,30.75538145157371,34.61080315148817,38.07989774532571,41.700231669370204,43.03093331042206,45.128380384361925,43.813760193423235,46.61651269485963,45.09941337997462,47.71617351584184,45.47371375701193,40.02401915494614,42.99822380587982,44.242372776061394,39.58072891388662,38.33643675769093,41.11071555193331,38.916078242799465,34.8630350807883,35.00342618138548,33.678703445082014,38.28302197015886,41.13203199729182,41.39094361751095,44.60969738093049,47.801080614779075,46.22625277868723,41.593442063345584,43.629748325390686,45.61408870607913,41.171998784047126,39.09000617423685,42.08975029616346,41.00091174590637,37.065216223279414,40.64843690834407,41.99235364926391,38.15075083243185,37.59377573745353,40.99112911980235,38.90591196068061,41.731176893352966,41.00132080635405,43.2741526879742,41.06732505763708,36.02091649430522,38.85593782192659,38.70170734278602,35.35809535236606,33.81985648240736,38.3436547577672,35.589606955806346,30.796520621910176,32.99705795255958,36.273835616202426,32.97317518668483,29.238364226897964,25.216434013228003,25.94962381504972,21.742281794103857,24.990282020561477,21.1811432972236,24.190211209449043,22.887189775279435,18.663846432272674,19.626372419507444,19.987233310698176,21.743113889617018,26.042703827548134,25.0636030176382,28.91364873503895,26.919318956961046,27.930787056969276,33.50272324766348,35.67657680286371,37.325375062738516,31.99097329704089,31.94409312866495,35.627734597494076,33.08968091805594,29.130456328778635,32.66515627805584,35.626311942905716,35.92283663586127,37.82616839107586,39.8160738955852],[27.258629420059087,25.29279823874245,25.198272827823747,20.32274750525133,22.484334866233517,25.684773653742585,26.21827097216218,30.80805941891198,29.987448985429538,29.261512507386374,32.20521074016442,35.81429072052354,33.3956960236565,30.773304348097522,35.82658868413025,37.08960519588296,33.570420758948536,36.648471676724895,36.06983217264677,39.02323500942455,40.6734097227595,43.878691407231464,43.287314328250304,40.964322606060634,39.4094162097607,36.180085427575904,35.595092451735,33.23453151791647,36.30211772049588,38.01807698437895,41.57555310635946,42.312679738251774,46.30588949029308,48.71204258044484,45.83077380260939,42.678818002515094,42.452054137692784,40.15609085727483,38.52787985234797,43.390953907459995,39.14404806818088,40.86309240362552,44.95943164216246,43.06548021055983,43.649641978799885,42.16232322445022,45.97675372988987,46.30687182229746,42.33293116475521,45.85306724818383,48.80618079508983,49.0967085206774,51.31494230963729,46.8063573153455,52.77891755751878,53.992467482913526,49.94077128854062,50.846674254909004,55.39108967693787,53.7149873622431,50.08199061464324,52.65777488880099,51.80798872158195,51.970423793206535,49.01510607698635,46.582203121207876,43.36826562544897,42.05904833484299,38.57622492992799,38.15668298103532,36.3021582379146,38.3157721775294,41.27456261260479,43.303246664302605,44.36830501247463,50.57516075651791,48.802661210444676,52.678611284506424,51.076078127348886,51.10061926142066,49.98470560766448,48.311769345279366,47.54063062904739,46.55483562700549,42.68688536552973,42.961091587120876,44.37868519569259,47.000472617574,45.78226417629023,50.35695623358183,47.738693682244254,50.815778496665864,48.14538861623978,47.16392760905485,42.69208484065618,43.62147855098358,39.4748447598713,42.72872242407557,40.92432802084698,43.74518970956788,43.50970721069061,42.920102943999375,42.9737610639601,41.15400543940092,41.876783516573944,37.80293573326995,40.27385672398344,37.74327652106646,34.553438060623854,36.17213085343928,31.90784044523947,31.12817708643518,29.065501255977907,27.174799305103907,27.97453938369192,25.567117314899313,28.551040133727273,26.24591675092659,30.847688043643856,31.973567679868964,28.76640231845248,27.540347033985704,23.070921813427045,23.067299036488077,23.527732836752854,23.39197207225172,25.9716739698393,27.23253877613263,29.605585912666125,33.716565783194035,31.272094842485227,35.789142823216245,34.81798881077794,37.590532375467106,32.01599611151003,29.038453306772336,25.132167056339014,23.65988592628767,21.58676072000386,25.035937328722376,23.508743609475115,28.16654874918132,29.556976122010518,28.76271689235371,32.499231413882036,33.481777191641896,30.635862091470212,32.257486592088206,32.83188140152308,32.082096654484566,34.59804304296129,35.70020908361053,40.3891117504687,41.33886698890474,41.76001799308262,41.24566610798358,38.29788386331842,38.35931508148531,37.76691491938708,36.344388285913226,33.37049951321653,35.91435979146623,31.316259559818164,35.94223800789466,33.72948939443441,28.649418245386123,31.530625538280127,30.580762075818853,28.231898941409256,25.756553407898537,28.094138259105,27.911641251095023,33.04571926900692,36.002438137989635,38.48568815557214,40.98338638608288,40.438627927425074,45.54475176616545,43.20040164810771,44.010241389443905,40.10291448166223,38.24086693593752,40.314623172833144,41.204769163881195,38.23098603154276,41.064447102359836,40.399150009885894,42.65225705629777,39.00792178329584,40.826058454839526,39.09110423840513,37.94263331685877,36.41281677978448,34.91119753271104,35.89170223352129,36.09832986222925,32.26804771547604,34.72032477336822,32.6307674571265,33.821981250077094,36.157221416828435,36.66376436566954,32.75384438704674,31.914638846813077,35.67359458486583,33.137991614832885,27.83299421169079,32.027690872477315,35.98674854146061,30.247037438612384,29.67587797681323,33.40438252624659,32.56476751315249,28.191126561614425,30.619733160149764,29.224940902142734,34.571681020140126,31.2664428225561,33.13001493883128,37.03400254312236,40.64372355634813,44.41239835399773,45.647983884546385,47.350311487017734,45.78578790351812,48.358161580037546,46.422428092926545,49.206932703308155,47.34507209087984,41.60802104441032,44.29347534855722,45.91629402020525,41.38676142468713,39.7222573492876,42.33432766955726,40.70132255153728,36.66883218639499,36.00662839171613,34.8621094409723,38.84127053215266,41.92836223479631,42.33150613791248,45.22379248603118,48.55251069105109,46.527681506350525,42.06444285512278,44.473960365319606,46.087414545003284,41.42123736579912,39.82995047307763,42.82443112990717,41.51485179695456,37.83429611422572,41.813062464111866,42.99977934377608,39.02172433568328,38.99720028008285,42.59075361821959,40.63351378340788,43.361632231136426,42.34105988158392,44.90455110266494,43.047144036233384,37.74066259796365,40.51587159079716,40.842932582673896,37.55155375452279,35.66542737391149,40.516356671283646,38.222190364102,33.16252715107124,35.069578109469006,38.81158573020306,35.86632966419092,31.97472798132972,27.815480035946308,29.144808317102598,24.976526312275542,28.19494708206022,23.896832464646792,26.30109655731974,24.357906693180993,20.620311553489863,21.504549261346174,22.306193204417887,23.448947272705947,27.57055111775615,25.6717389182377,29.22700250995901,26.57199140908069,27.981623438420012,33.32481089426361,35.81973882112712,36.97012339460662,31.55620228293581,32.13431046564736,35.574949591379166,32.34895248569578,28.91891230802431,32.884219068218336,35.400241331783725,35.37106502002298,37.01078854925364,38.89437252679104],[23.775652797714756,21.581186714155766,21.2185768704113,16.273403879879705,18.342002726628635,21.610010913596135,22.232938107640177,26.843798661813743,26.2723754041149,25.799439057824685,28.90752945796053,32.327964640393695,30.024330798307282,27.708677144245513,32.845929543126694,33.981006787861105,30.638460204244197,34.03311226427696,33.944520367450394,36.68763477772894,38.702064228571984,41.920365350388195,41.64841876000781,39.549853789956025,37.623133465861756,34.292474115158086,33.28205658022929,30.667163184234802,33.490392545899674,34.88290849439645,38.71628667318627,39.055334416591045,43.10025376548914,45.71489136347661,42.776515921541,39.81483976691359,39.2895030181768,37.370271592022476,35.79975180183929,40.72279394932495,36.89569241552235,38.61616264819753,42.73475271300507,41.04604876084423,41.997467911320854,40.71874543811927,44.56622063844711,44.50657499893375,40.50632155803883,44.081087958668384,46.76835662962034,46.834217014511744,48.96684815563657,44.35890440601432,50.1815718857224,51.702992736614036,47.74690038280034,48.37214196947047,53.02493689203551,51.68757347606596,48.0176083014311,50.52010040163994,49.48980658733767,50.03679542841921,47.09461906693739,44.36358412738409,41.37899532371506,39.75935730760537,36.55393262244866,35.87934235657803,34.30400778382411,36.586473241897245,39.22588959402665,41.41073352903093,42.05157710101899,48.307730005647066,46.398841414970086,50.100850938595975,48.418819289404,48.50095114704769,47.090081460318,45.4511933275201,44.35004486693009,43.458424575565424,39.726528695263085,39.91954800370342,41.603669641614,43.95602586022094,43.07093401943763,47.499623832157994,45.05312297602127,48.285426094437696,45.49108736218766,44.28402923764728,39.72992881086242,40.73831069195296,36.52338019307931,39.462741611916606,37.46089387015522,40.04193598917728,39.91911023459728,39.071797113671785,39.321829369290256,37.30063990033314,38.15483423249932,33.952282722866244,36.39209316989978,33.94516620449235,30.627093847605934,32.17048361403357,27.84992597753733,27.24698801882158,25.177403053365673,23.534981963841197,24.63940363481387,22.516924045942137,25.840905379589024,23.95593075529923,28.932632864335336,29.58443075534181,26.442199314570143,24.837322446978323,20.389166390669885,19.886506324213652,19.914552716001918,19.70378989889408,21.92135376190471,23.353383134608826,25.73710823921593,29.99510719309783,27.680321208852185,32.26039101429758,31.545420402057815,34.11640919903369,28.69502605292406,25.57318236024723,21.687253143287048,20.359037937261565,18.523207868141906,22.169879191553264,21.438974133007697,26.37115909601659,27.41804413195236,26.20495622158678,29.93931689389006,30.56771098675291,27.575612149956232,28.877689563096027,29.1904625473541,28.30332748604945,30.62907964592769,31.779498037149242,36.38593156315301,37.419229547866905,37.948352105153205,37.39983193774492,34.55288988058582,34.48721577127342,34.12522812162841,32.57576754079368,29.885297606352793,32.705427525565845,28.355597824968008,33.05564257572424,31.031972553009517,26.22002807924025,28.94803035933146,28.44244270641802,25.799772469158725,23.174600627295508,25.190784250147736,24.89665978718751,29.970577728276975,32.7791232921291,35.184170085241576,37.47868677634538,36.989273170004026,42.0563718250818,39.92772886448548,40.628155367245284,36.947927032342484,34.72308713337656,37.04704181256349,38.16464242860358,35.265862049737805,38.35313819116284,37.79754777664219,40.30863440928557,37.05270006299533,38.69288848616114,36.96731920141114,35.46919582011404,33.87078241614307,32.1316147758539,32.95936923391954,33.1097489629617,29.035563091392742,31.32855685394161,29.119368122012123,30.03598952937341,32.42493202385755,32.72093378923273,28.77900738212017,28.139577710589595,31.85170602991203,29.158766694353073,24.009388186670012,28.339641518707776,32.13884628178431,26.38345587198817,26.035624496211017,29.816239862133806,28.825047509191762,24.618233882495886,27.34348197772577,25.95887843782755,31.349929399920438,28.382234267209114,29.882989924907648,33.78322472578912,37.49587991693738,41.33785884603185,42.538976080710654,43.97912199574444,42.33725320203179,44.830841452410006,42.74834082903064,45.7041353234011,43.99949752807697,38.137768676168946,40.79919081964423,42.710282778548304,38.23302920917311,36.421641732609515,39.15263905748211,37.84458306463088,33.73298986898878,32.90066832355038,31.471248490983857,35.22467158212096,38.31459676292231,38.57064347031085,41.3496628405211,44.62265242461409,42.51308356829324,38.10667526943721,40.51870667273312,42.025245321475204,37.3291399734666,35.82669987523869,38.8058393830422,37.462760739986244,33.84473640720124,37.92945131349095,39.10382504503903,35.14896696024571,35.259303633475696,38.90637514990313,36.97994112087139,39.64367552119715,38.523083365393205,41.22724458316201,39.51041982652188,34.10147992044167,36.91176056498124,37.47922837034009,34.20483667864401,32.24175368673048,37.324463242362725,35.2861921213364,30.089595555624292,32.002761981069895,36.03162735160613,33.310573959322774,29.32933844373083,24.98747091207637,26.931422149684558,22.74232611890917,25.710576177405684,21.030388711640047,22.964026260407547,20.699868559830175,17.291742701128616,18.160092693764142,19.385337773716092,20.267381811552305,24.128365924014453,21.84876853980893,25.418084195284838,22.582331526596704,23.884043149763333,29.20362558935406,31.706793003189755,32.81661319442449,27.400103900408297,28.04197833437266,31.482566051785863,28.239787099362605,24.877278405095595,28.930180227686193,31.45214527858231,31.48917249360782,33.15882844430745,35.060659779648205],[25.485139202160326,22.98743488216611,22.054429993934495,17.98052806236089,19.248038672588972,23.746049664475567,24.60004272430922,29.18175524835315,29.38106846737394,29.05480871610832,32.42833896584411,35.58801325573907,32.985208344877464,31.22343855988961,36.30639526534496,37.05970943206153,33.553370267656625,36.954811509462075,36.75031760784254,39.05791147597728,41.04526120657218,43.84389214317077,43.64319290457004,41.3166385449173,39.308414946735155,36.38672256156142,35.212901808894784,32.929526718062,35.94780114799377,37.35481275606606,41.803206687683335,41.74328227497474,45.99224797758161,48.54287106737902,45.29220185466222,42.281057059128734,41.39244868544096,39.212952000547915,37.24838274479746,41.60733448894573,37.87588443929796,40.23254461016415,44.0913737909437,42.04938727525476,43.00935215328595,41.375980540193034,45.11150792163056,45.189534945406876,40.88555357807966,44.03040534868024,47.01822029902336,46.91920740048974,49.334960683976185,45.01724584690925,50.992412255573655,52.538283189223314,48.799862959272666,49.76993142182544,54.3718344184107,52.89620455037445,49.6470448202504,52.557707238703735,51.79139783132672,52.44331695620347,49.21117081762415,46.54275308109765,44.06895960610956,42.628942669786426,39.75618751044869,39.38125912859427,37.94438801675196,40.47454039417571,42.89827438783459,44.76075717469573,45.2560264694706,51.384037143748166,49.03812810974832,52.765394426418,50.7266840868685,50.41369352626858,48.80820448307886,46.67908279824666,45.57247346373389,44.18553329584585,40.47969786245096,41.25753329091198,43.27184973040452,45.839543449876786,45.33711159450415,50.04764506063693,47.93143628199246,51.45244075369867,48.80500615977104,47.588698055999195,43.07274333163066,44.39620345232971,40.21397832537226,42.65531891032288,40.49790879525017,42.81710630933139,42.39078031279576,41.00265193504349,41.088024496233665,38.55267371888451,38.671714791862215,34.463058605890225,36.389617113356195,33.44741140098411,30.29013926351484,32.44868283969556,28.521673360852674,28.274351040292885,27.010185938268496,25.290265129680037,27.193006639881336,24.97792849081924,28.42515451029125,26.351402383212218,31.6889022074458,32.60677863764833,29.745172199871703,28.188626006884405,23.565651894282592,22.83888754719543,22.67452955242079,21.342750969656155,23.172951768260624,23.984540586322556,25.71532686444432,29.84351707257333,26.67853257731538,31.029241011638504,30.28174170712032,33.487531752362,28.00814190172431,25.56875210800094,20.920622892675855,20.560890345851195,19.45970648976855,23.245444781565293,22.670281863165364,27.451183137711514,29.066304220808107,27.73993004537856,31.34570843620653,32.39443807104248,29.424147624770274,30.88165348102208,30.89619066490616,30.469180810029993,32.39375585381723,34.16058479987707,38.43221380669718,39.95837493597122,40.70711538428496,39.82432642439981,37.025593975871544,36.387948774389116,36.20831833889056,33.87181770379091,30.911512478645,34.12371323304533,29.372908346919747,33.85582703268225,31.072375175833113,25.94452227019117,28.047491064720653,26.95797193324076,24.06047192062359,22.181454172337155,24.345850656124124,24.896820885577498,30.05987547480796,33.17204693808577,35.98518377042258,38.408423552922784,38.54220369107321,43.25004720978956,40.82641138300992,41.16860928742992,37.11282668406336,34.94576664379191,36.5562864399912,37.31729610806041,34.653978499373785,38.10748848013563,38.0872617149031,40.01335461667495,36.80395560692506,37.8980426371439,35.753648477529424,34.4534183396299,32.31006317317315,30.49166098936134,31.11526056944093,30.88551841027699,27.08238842042274,29.36150897732321,27.16615787849888,28.842990297964047,30.88500212748706,31.897035777541596,28.153065947935556,26.789020269933292,30.70923932326273,28.735003030373583,23.111656624908232,27.15003673170888,31.621053478808584,26.32529266251163,25.491953271906365,29.340577292771524,29.15103937646864,24.89011668314448,26.94989562857334,25.003079155392232,30.35518143059927,26.18240144766113,28.039374031539026,32.09022478867763,35.27967948525641,39.275254604340404,40.132609222012505,41.90144447978735,40.229933584692425,42.78464267138206,40.999573403584435,43.5158578244956,41.52298486545134,35.914059629483894,38.61082465885381,39.94308440605187,35.381828688885655,33.864022495798615,36.45268876268383,34.553482549280965,30.551091774586304,30.186532211102527,29.132096660707308,33.52841809953566,36.5005865424893,37.07065604625274,40.226806291967925,43.671043779094525,41.97035579615007,37.31841578353394,39.76393462315365,41.784455702140875,37.28066747034252,35.42388678543989,38.757448265390714,37.820471809093334,33.953447704585976,37.656594564680915,39.27450655573849,35.68752807086877,35.11584349852254,38.49545047983494,36.18302479730378,38.65012842052126,37.50682952426159,39.73143814584738,37.97658382668531,32.7363621590459,35.15655114434356,35.32864697229936,32.15040631860688,30.061590623004314,34.66062650359984,32.395361375538,27.366158870125005,29.06211222343551,32.711133818730296,29.83654275315088,25.947381936793608,21.980385139828996,23.221429338610907,19.28598086219961,22.898205235214153,18.85384496395655,21.286220156782875,20.141857679605035,16.094366339227253,16.306083268201004,16.531550966065197,17.62666870767503,21.971108352265173,20.734324804738016,24.31136463303833,22.444631455544435,24.040573981655697,29.502415521341685,31.9249780333373,33.625784850717174,28.35684585579302,28.734676547505636,32.61452525398009,29.95524771857757,26.45010764898382,30.23394440306025,33.282227112868995,33.749316699415175,35.62787405204005,37.54060165373998],[29.646309709236615,27.215541924100254,26.27743828883904,21.889851783438633,22.835243065884246,27.220615411742433,27.58213923740534,32.13916311971641,31.998649348068003,31.088593692872745,34.3100500479926,37.75489530899089,34.74517970164135,32.652785582599556,37.601783573842134,38.41748214735216,34.57449034904794,37.53003070732331,36.66705320882388,39.15690727092428,40.68887932584546,43.41638495542588,42.85290666583027,40.2557538837948,38.6638087227214,35.90316180944566,35.23663775599039,33.32112143999622,36.70404668422002,38.603343381616945,42.782936134206174,43.24994082850968,47.48017306681517,49.670343224480796,46.430416987252485,43.11815518304751,42.63399216590951,39.86350371541714,37.80407845908984,42.082262286636215,37.785611477474816,40.14358370759487,43.960080073853206,41.66021954421083,42.17837331837488,40.31396651668271,44.01163568555356,44.53737653165033,40.29176493114888,43.405465525455604,46.68809566826267,46.898660502987205,49.39440665942029,45.19310427724174,51.35851129096167,52.483912945832124,48.62085487693705,49.9611076267902,54.4143702455916,52.50468963610264,49.319783771268725,52.35642236045085,51.85403647362122,52.045561086444124,48.75578356655953,46.462558161786475,43.79403668053925,42.77737227037847,39.650733860556244,39.6912271784414,37.961871351822595,40.289352815136716,42.99296843769544,44.54786899772037,45.519689774751676,51.549064238843314,49.27141271036837,53.23955917929663,51.244452765682574,50.80326444531215,49.603381998525236,47.4133351014958,46.817165647454274,45.308863159370574,41.39543140759441,42.26916963765718,43.893727090683285,46.87406532272718,45.92434523965386,50.89555705384778,48.604908858094866,51.995746668956556,49.57269436560982,48.69229098120222,44.31246925739636,45.66882429819204,41.60443043286134,44.36072917371692,42.518260300163234,45.29812560606011,44.47289534053736,43.54475589300277,43.1686645393032,41.05489533354154,40.96212481234215,37.05848829944169,39.20534473347706,36.26652087701332,33.43539925147988,35.534178103935304,31.69209099385072,30.873286914838797,29.59528034120048,27.33262377498825,28.759538454938564,26.07384479755935,29.055773929341854,26.409860241750966,31.350810128208114,32.903820174086825,30.034312438614688,28.987422493622333,24.268692321887276,24.206167651864433,24.75926626336587,23.48258563540587,26.223641075960277,26.67475780031374,28.579008183903717,32.35430933772497,29.310141705162977,33.588843302662426,32.3026832896362,35.6138123507113,29.89998556558392,27.537065572980644,23.192097256267658,22.228640683056753,20.61245979707829,24.056462056394338,22.40633045359432,26.828197089637847,28.86605730968427,28.081995293944374,31.679605652740943,33.23540636150216,30.487444707289402,32.46726304444429,32.94529445903531,32.84861556122561,35.212686988010084,37.03445687141211,41.49590537417527,43.1436801355916,43.53190164521611,42.51223941524575,39.437613046522976,38.972317264447106,38.29678280241498,36.18418682445537,32.69389345104452,35.4077581357181,30.300048228326933,34.67272625049762,31.71852648669216,26.291612647081173,28.75778956925378,27.197337759734967,24.874935496619155,22.98203355152853,25.589677297435827,26.083681140988798,31.28718519493754,34.57285424669092,37.4538181043905,40.21703923816394,40.22864189600313,45.00758159224071,42.22725441710014,42.79489604477396,38.42351703627018,36.89702642034358,38.22053397147278,38.6897522717416,35.842952162281115,38.79598584664911,38.52840369228505,40.17833980045347,36.450039242481644,37.87935939918098,35.840038669032154,34.991945060406735,33.14961442376228,31.771097360750595,32.76369441362769,32.88018099592344,29.472469126752795,32.142831725604246,30.38774650784966,32.19901343543214,34.54296778030379,35.66418061538602,31.869549187010875,30.71454386844023,34.77988865567838,32.86392473228408,27.32683031610494,31.442402949737954,35.959062412018355,30.703443383807144,29.962060668624762,33.83241412402029,33.588004010796695,29.355945735923115,31.458727223396636,29.502575540019507,34.84437584794103,30.456863958169667,32.37042470564786,36.45539119828245,39.4656956511735,43.51660143534141,44.2145132783957,46.01153044093422,44.21653890118559,46.65877061612722,44.78524282487417,47.10870190646632,45.19550138920024,39.61084164655481,42.07751982553502,43.23627710106368,38.75705557044223,37.150465157531045,39.409453972600524,37.4826726376693,33.674344270510986,32.961960565835554,32.47696198027209,36.7138895420214,39.812883226701565,40.73911328735696,43.83332262552236,47.47769683241619,45.634835696530025,41.014684615936055,43.757470856447796,45.73428775366155,41.15702546755187,39.51356127217757,42.95254188605352,42.00142312201877,38.217831083151616,42.005624301047376,43.644172228074424,40.0531599914243,39.57264131044968,42.9603141371752,40.61302234894935,42.98579259482913,41.702998466128264,43.86147590337809,42.2561485548229,37.003309936306366,39.19956740609332,39.40510470182727,36.318657978851235,34.0159597421132,38.44296494231707,36.25781208064404,31.284251376786525,32.639389590348515,36.201891773016094,33.38937165026518,29.571827178828354,25.886735127541577,26.738916705162083,23.046466589456767,26.954677812473797,23.17849234809938,25.660261239085607,24.5958254692021,20.5716510890051,20.61189034422432,20.543974893114218,21.412454295195484,25.849828870484934,24.51726099510792,27.77349562523773,25.81242710269087,27.896060887909535,33.19928912590371,35.839771145550955,37.34818523137778,32.072461593850456,32.818972863762134,36.62806762411839,33.60958938263576,30.41884672546779,34.39357307315724,37.248717815371236,37.54102504588124,39.262340658945284,41.08925220472204],[28.067069267154338,25.42592634565216,24.08095205370585,19.29498517792488,19.588571753942368,23.809478453987282,23.64306470310714,28.116596717689248,27.882837850736788,26.640047998394376,29.858099865666,33.33681400602264,30.091578826974867,28.040650526354447,32.92286538805288,33.664538410256746,29.761994097852195,32.70806631803124,31.932753810025638,34.39074181575539,36.03986761781297,38.84295557188249,38.40410662869353,35.95899043246033,34.19823967265791,31.306377531629252,30.525038439969226,28.511463228001485,31.866746561687076,33.79462004181034,37.97673147075048,38.480615961879806,42.71535452256924,44.84658316446276,41.60472220178875,38.281751506745806,37.847031750218235,35.09765765641499,33.12473785239039,37.59078206103882,33.34430779723978,35.528986104511986,39.43026801045819,37.30313738128314,37.97921751375452,36.34450781210081,40.119758378740606,40.398457342001706,36.25312854957388,39.595679728833225,42.63885060485096,42.846565905278254,45.19577621744014,40.83702123958028,46.92812016284767,48.124279417424425,44.206117777529556,45.36476970959972,49.86865166619305,48.109478286422664,44.78512213439023,47.714549736309856,47.11673161755753,47.42189324635945,44.17312640097072,41.76232507716426,39.11551782108247,38.00326379680612,34.966557081522645,34.989721196849025,33.356187277930474,35.830968746307356,38.374921722265334,39.9208921295888,40.76055264673899,46.79223304179637,44.48139579435483,48.41982938285909,46.43744230132293,46.06250341113335,44.86602449836072,42.7995366531935,42.20962852852839,40.857817083798196,36.92583846185549,37.61387932303217,39.16900148461455,42.10425192134089,41.1114540390547,46.057679725398856,43.77450485490217,47.19910576623397,44.7914614271966,43.92635172126932,39.57789880638756,41.02991876687454,37.01357966472563,39.70238848143983,37.950426352483184,40.91122367231772,39.86365125107543,39.161746319678926,38.60740512015838,36.76119514597102,36.80685348596026,33.03506251070988,35.49933591513141,32.811909950146806,30.096367226287676,31.879048645748,27.985448659442962,26.713489401875204,25.30969629459599,22.804159254520382,24.034965763019713,21.26288788222314,24.21778463563922,21.62486524585338,26.67638135699276,28.117831282955663,25.299047203803433,24.246164279264985,19.50339058998492,19.494740333730984,20.285343831451236,19.03600808662657,22.35474975726097,22.697113758947797,24.9324088891652,28.58059950607243,26.06666502795115,30.466885764227428,29.023428174216622,31.95880431621263,26.212691612729845,23.506034888198677,19.662333959470203,18.025881235759627,16.042476590550788,19.42948686649832,17.84252236494024,22.454312241798526,24.23212737836094,23.372859209334674,27.01624078377362,28.459983311269735,25.71595079937979,27.754569255830283,28.403555057040467,28.41491183957571,31.041568842878952,32.90632041935061,37.47094709540809,39.30838330773649,39.39765339606161,38.22209275332319,34.99743469641314,34.629335039161816,33.71427581112101,31.809726720728225,28.222209087467036,30.74407865595323,25.71497106590727,30.17249789392693,27.540645165136883,22.27988369781842,25.1054909256295,24.01602963336071,21.820608802732146,19.358668820282972,21.890603893294312,21.907167280500417,27.086874028646907,30.260693406131903,32.99658254257196,35.779290030694,35.59978967165992,40.48047386837246,37.732252497472736,38.462420765586835,34.20949250362687,32.76068618158219,34.38707395306073,35.03803710077272,32.02852621738426,34.78784623869959,34.27337754725992,36.27097363773302,32.62762122516993,34.30322049138769,32.525661881749976,31.45866517048945,29.980316208133008,28.660119243698162,29.855086049761955,30.364730310679246,26.831030812060963,29.68774494284542,28.190833244452215,29.518933192521327,32.392339289107696,33.12812017012679,29.174144662098517,28.73717108704521,32.866085807151705,30.620244995280526,25.525820105244375,30.016958481192624,34.19693038256143,28.9160804832356,28.729667623377235,32.690299512439985,32.0080681413106,28.138659811820244,30.85627158009551,28.997006812853524,34.406552526364244,30.58208692312696,31.87386967220371,35.976305399361934,39.101890059524486,43.3199839565413,43.87842706075896,45.17396723043978,43.111091085228665,45.28805787384805,42.977594921978145,45.514385223692514,44.03238444241469,38.157386666628476,40.3349938115472,41.9809217283291,37.67335036652535,35.61728644158511,37.78948247811938,36.57144319284302,32.75621518568836,31.22573379303716,30.747271973355318,34.28345219869714,37.57894501787129,38.57192260424417,41.31899722521157,45.05991173508518,42.80977483855336,38.37304865527606,41.45644731111948,43.08601305056927,38.338320580472974,37.1687529285658,40.62775083069069,39.52923416831932,36.012226629637055,40.13635877352319,41.685476231648934,38.08209874798389,38.05807467451187,41.58755623134939,39.33555569217944,41.53332140091518,39.92542363474026,42.36487660745936,41.172613160273734,35.6796528721188,37.77834527693852,38.53269142982095,35.53741204643582,32.878881736861494,37.675377709084685,36.06611398549932,30.823887377150108,31.89323122503241,36.011491492126524,33.673134244924846,29.699068751124518,25.838862109469854,27.5664247265302,23.942097520204943,27.633232683131272,23.312572046225633,24.987970060555604,23.339465380328647,19.956303202851505,19.820567315771918,20.30579232735139,20.444414787898946,24.51038799604708,22.21326721221638,25.130694835799957,22.588132685821755,25.058318374718542,30.078981887316658,32.99899034655118,34.10546181960552,28.837369394909746,30.17493612900058,33.80120541874364,30.27362766282964,27.66521863156011,31.985454692517404,34.50751140690895,34.63492015090051,36.15636254808228,37.877352604421446],[25.315224123058332,22.272839095931133,20.192187492020825,16.35258666522195,15.8126578023381,21.175123082023664,21.500718639462104,25.89398936782227,26.68815338578087,26.11689417053001,29.696275434583757,32.60598284128094,29.496131891960264,28.357905716875575,33.25173720346606,33.550419085386,29.92167144068926,33.33374826441125,33.25171515756888,35.05395408824702,37.20563899742292,39.689121033250224,39.76713960249269,37.50773399261898,35.182689950474646,32.499447926385876,30.962403549231876,28.83618300743041,31.873892245616627,33.23500681396276,38.22705059738771,37.79460451378909,42.202526550243654,44.63508589265495,41.12486847032645,38.12021547651707,36.9227846955957,34.638407201995925,32.46373371181173,36.50462648682453,33.06306378263673,35.7471240537053,39.430466050439016,37.35202994005116,38.575246269948344,36.96887912738471,40.65269403484351,40.475725048796875,36.06921740574354,39.07788063323539,41.96264002446723,41.67301510745003,44.127056233638456,39.89064019787654,45.83850369773049,47.533831577735675,43.9668481953378,44.961018936085054,49.563364168499355,48.218261091299865,45.19134671298292,48.28778132750092,47.611458309375486,48.551017770101204,45.15368181244987,42.37253205290319,40.443338573676385,39.00173046861558,36.62071316539073,36.430923751315376,35.30395922773834,38.21975355060734,40.181879178974484,41.76672252839051,41.89718409422516,47.8627339681383,45.09876278154924,48.75076793108025,46.42025093506492,45.85410327534857,44.044390517285244,41.653933177656825,40.50238364291542,38.89016245738378,35.234749115198944,36.2890343887299,38.54808487608262,41.17955952934932,41.02631919788313,45.887129599382426,44.113151986596606,47.91915959939894,45.42077730248181,44.19182146754799,39.774880860449024,41.48774095645377,37.42237821252255,39.27960667195969,37.0902303332036,39.37160320308813,38.399679462783894,36.79941117314368,36.524094361783824,33.85858890189665,33.49841366419808,29.45813425848136,31.33614732363575,28.288355549257613,25.446008407758637,27.72966363817416,24.109891167153783,23.59776321882371,22.939720961741713,20.919473152198606,23.36771176151619,21.120784317345606,24.653533436161588,22.686811048818118,28.395011293697863,29.25704751936145,26.783711792570152,25.19721519844181,20.5719337138313,19.562950496168252,19.37030247028093,17.032381979178524,19.127768196071937,19.19965505270778,20.740674581274078,24.576098896490134,21.344102159896323,25.660683909198802,24.685459707872514,27.954994316434668,22.40920962841782,20.16387074714261,15.434046150666541,15.256876627446594,14.622257178584778,18.429555801162465,18.45293716975317,23.195730874458025,24.86020466540659,23.241505339297483,26.689386306929638,27.864811025588253,24.93412421737421,26.490529972882815,26.382738498508107,26.495834203158548,28.35483884641688,30.736297410091574,34.81804440849375,37.05025430013914,37.586741455294806,36.19631222020162,33.270066731348365,32.23108825643323,31.938435926275478,29.14585587075152,25.886131653407304,29.2539962969978,24.364431804680958,28.70008246454034,25.686444938220703,20.627144615801637,22.474561672424855,21.55112196625307,18.497322772338794,16.62240223594636,18.701884651978318,19.457609643422398,24.59808174439057,27.79271437736302,30.764526671044788,33.27797791864492,33.74674433903396,38.22303576089602,35.61995569737525,35.822621414110536,31.632689662665236,29.564316580162593,30.940135540709754,31.64183795335665,29.01060152838998,32.590803144432854,32.78277864512489,34.64147390908991,31.70258702631622,32.54176256939379,30.356015542691903,28.89742040629556,26.70326186692274,24.84363874455172,25.521760273143546,25.477855824891904,21.72503288596064,24.273369023092172,22.49856766505557,24.168176804060803,26.714330615800087,27.815215177668907,24.017641772095896,23.11009344150455,27.327236983923175,25.528393793217354,20.22507589147769,24.56592161061675,29.091202979306416,24.241700890745456,23.88494332934993,27.88747390123264,27.72644918626928,24.071226679878745,26.494368989500526,24.23600810020017,29.554244705427646,25.24787122633652,26.367198530706126,30.532209235293045,33.3594649556008,37.73960917866413,38.024755649976704,39.29389582684391,37.16909092968757,39.3477771698199,37.16022873457492,39.57780219713268,37.99428209576299,32.1834983262515,34.43972753292573,35.969707713789646,31.615770072822908,29.663673612939657,31.960544362293266,30.607638579482035,26.72731599686508,25.488839150604882,24.83922044833712,28.75253168693242,31.918768442077425,32.90620165487995,35.88246272960801,39.64043129736722,37.7019187658062,33.099873073815566,36.10954056979316,38.07459018155327,33.4951715292784,32.04721706635742,35.73783131459614,34.95239468284234,31.28817412300357,35.14900190998944,37.02909877889454,33.77814032435712,33.308596925906414,36.64162537536004,34.13822561698002,36.12180656813565,34.44033580145427,36.6427731887969,35.52764861796448,30.09717660140358,31.95523609357524,32.63536602162302,29.73328897445987,26.934369995323067,31.622186562036788,30.10721537289913,24.86071896978943,25.807042355326466,29.962742536279762,27.766138628649696,23.775256656256477,20.007519702890505,21.981140455847125,18.61871704150593,22.38735930983414,18.21996191829243,19.627139108946107,18.59804800715113,15.234793677384328,14.42201210538205,14.580535067666624,14.463414554784062,18.589101790918736,16.771854110084217,19.781042209635856,17.975335414102855,20.464556415063797,25.59866555851052,28.370536926462304,30.007959054512384,24.90879833993795,25.951054614807354,29.934104456012328,27.056381181330835,24.325107015565695,28.370436672024663,31.3599103712134,31.960665008983927,33.72254885252413,35.48897200087602],[29.71346970015766,26.808929699592433,24.92875070579713,21.117188064537885,20.678255332145408,26.0215583488844,26.192412356532532,30.570082552606294,31.179806938120226,30.248135070756263,33.72378578686798,36.83871687388646,33.42254710193903,32.041884549399754,36.83958375810649,37.162001205303085,33.22178374820725,36.226295474635066,35.482519171152724,37.37261633481176,39.057743888638626,41.35004826033705,41.07139348459143,38.44969369365641,36.540934815835335,34.150011787965155,33.092214452792206,31.423350647302005,34.85163551481288,36.66160867225236,41.51464591434062,41.47246495208358,45.892386789784524,48.00712391605325,44.44818036635348,41.1661819482812,40.251873454582594,37.357203666200306,34.977253985127014,38.72427848908869,34.754491440680404,37.66026207355181,41.20749136521187,38.73428334534986,39.492227335886675,37.490978210462046,41.08662131971717,41.44955524773277,36.97507358099778,39.75215120109232,43.084194796757394,43.040674366589954,45.697747931541414,41.71123727767096,47.894509750754885,49.17924991069096,45.57718553772561,47.06667701794979,51.49692356120484,49.6661564953411,46.85784499436512,50.21034882797831,49.87094838537833,50.381385416805536,46.843899343571564,44.459985105480044,42.46454647409401,41.47944536051275,38.903433888877906,39.15277848309711,37.75288550105867,40.49580629914304,42.72363531462448,43.975421098788395,44.5471670649009,50.400380099240685,47.610376426213676,51.49521247020189,49.11942320293056,48.3201855819833,46.83868892081072,44.23442293101614,43.559924840392014,41.662803246107366,37.83952666819466,39.188931067505656,41.176794533936764,44.25132243775033,43.78705093936359,48.95132906878654,47.089508210624054,50.82789148970306,48.553888464090086,47.61636025661876,43.31615060127778,45.07847513030956,41.10069893511875,43.18134877366949,41.214215145601166,43.78363050392315,42.49563236400574,41.13056284141918,40.476625272733784,38.011025695679244,37.24926665729444,33.484028678831834,35.30559018251906,32.084206454872565,29.580434402868313,32.033346889218954,28.639540727071225,27.859035249166865,27.364677662471262,24.947260758784285,27.104026067473306,24.430903480651633,27.539821030315725,24.96173754579515,30.344878703567282,31.892673076945442,29.4333456519908,28.32306201720401,23.570516411446437,23.15198361563064,23.526065169006316,21.159571153392935,23.785135138345787,23.489196442566175,24.90271857661149,28.347541766800322,24.87469234003798,28.925656594538186,27.485285101730806,31.136453079758006,25.437232068657803,23.61771833518917,18.948699233968423,18.625047419577985,17.72262565814136,21.167105086581063,20.070628730356173,24.36126838060292,26.677925442354926,25.599811758700316,28.987399068374767,30.785152982702108,28.085999514100077,30.142815239316214,30.358835495580173,30.80413588976933,32.88054648627742,35.36145242715189,39.49562449669471,41.81572676343636,42.1980930598888,40.70594539819282,37.615621356469426,36.60741693339121,35.99083157605411,33.20491738366148,29.45979526107929,32.46990917580314,27.146781467135096,31.263850503128808,27.785173614357817,22.296874088297,24.197824752761665,22.41434355065031,19.86695039331034,18.465714226119374,21.074814773781895,22.16878559639019,27.317161217365154,30.771240128370046,33.93505209612501,36.7764275801439,37.33249516946478,41.73456385182024,38.73065110970982,39.00015935716433,34.39798829349322,32.955624783337186,33.74140670962343,33.98296394300633,31.31730241522424,34.55471619053654,34.74027009431108,36.03490908389469,32.57718781916957,33.49271512402959,31.18837782098811,30.32741672372039,28.144371522167134,26.704060391704687,27.611024095667133,27.642806674344982,24.484724684550294,27.29315978802864,25.865355191654718,28.039144771855373,30.493637688462606,32.013579520923166,28.346843557453393,27.146499343799505,31.437546704624328,30.007333295174558,24.549969624003808,28.643189044020605,33.45039477341557,28.756664813421825,28.110223684961984,32.06972451656173,32.20594370185495,28.378497705703612,30.416817280657064,28.022497611737982,33.279815468352446,28.2945463826144,29.852280215058343,34.044913461017416,36.5390540115247,40.902428114849606,41.037051077470416,42.6308209604479,40.52240055233717,42.720262861589596,40.734526503949645,42.757936918624985,40.99493892540022,35.44525836687989,37.60956173650981,38.601590677235095,34.25636450007272,32.52033609249984,34.483404427869644,32.636434403491734,29.005495565061448,27.95215744129208,27.960925700908785,32.153108032707586,35.283250987752616,36.634368524828105,39.766491572546485,43.668100068375445,41.88751805275078,37.22463344288773,40.32240819747446,42.494826119574746,38.00585240787123,36.471320710782585,40.278102840880685,39.62628311395961,35.890266831148324,39.56909536715763,41.57674080204612,38.40198557961471,37.6791005456513,40.8897940216583,38.252043357243664,40.18999949035677,38.54841341112407,40.444418061152156,39.26590728015584,34.01324013157952,35.62438709201664,35.97946511605188,33.1559395134284,30.341577618050433,34.53950283883003,32.77923324013783,27.791293810933993,28.505753042328124,32.18837368423143,29.796575579951877,25.9902729543631,22.689219405393146,23.670655042529198,20.55439856176391,24.835664399747106,21.32001792816085,23.3252356336181,22.861094176095694,19.06166309311996,18.175174837166068,17.558514031722112,17.74139897023813,22.17130802642004,21.04757395633598,23.85142080317183,22.469642722701273,25.1786973280458,30.24721337029191,33.02627506143715,34.76187945397462,29.731165541854033,30.749688688780747,34.78621786933758,31.941596909128712,29.18672485879646,33.165826573956515,36.21079755249236,36.7925470776681,38.5366782547464,40.27509931542933],[33.1693959309803,30.392782616166354,28.676723808894526,24.16289076861246,23.661475644891357,28.353921465086568,27.825352370844268,32.12601779231862,32.06876014478466,30.36016463440437,33.533397005103055,37.03786744922867,33.21747107803858,31.299085601509795,35.8799397567515,36.374770713910415,32.09814654021453,34.51743760688796,33.00931782977776,35.251368007774666,36.39136338286834,38.75301122623864,38.02169654895303,35.175143986992474,33.78754541077503,31.433304311888495,31.062310459849915,29.738956248408396,33.52707848613923,35.93438332781124,40.218128067230424,40.95887917385526,45.2606428560078,46.93625137650524,43.51635553172784,39.89704163275114,39.62813513540667,36.11909600093258,33.803704193381236,37.70212654478741,32.998384874582634,35.60551638397023,39.21010938698159,36.59500099698482,36.82210143242848,34.72503554103983,38.34397565830064,39.15977111572956,34.915754096927536,37.90152277718886,41.4107865600675,41.8323255588981,44.42345214334328,40.429586344440594,46.75283188663704,47.51784653267409,43.66203748943632,45.42925741632216,49.69885320135462,47.421781248203914,44.497719147634506,47.82380652084023,47.692879877497965,47.62409502210707,44.13153610084175,42.170254509629586,39.76858144198793,39.23453848180094,36.27686753666059,36.95099596170994,35.18777091800504,37.6375347479722,40.2075216390955,41.16296466595306,42.32898547164503,48.078095728497175,45.51833505314038,49.67100246270791,47.485763626216304,46.69250172474713,45.79184776429177,43.34490473116514,43.306670077107995,41.51130666114913,37.43489533347812,38.612624801310545,39.95975979723434,43.43879521275464,42.27218964298901,47.63006490013744,45.45015648012677,48.92719783724444,46.89292769906637,46.37414264072329,42.259582035437546,43.97616146533795,40.1710079200466,42.75129291336524,41.24434900614009,44.4679501862257,42.777290702691,42.21252283903346,41.04452441833126,39.35396677799624,38.68913253938506,35.33740261629237,37.69054826020543,34.77489710102586,32.595741310685156,34.625898809114226,31.166344867256747,29.519818246319915,28.66992407431715,25.63635216729639,26.86536108308134,23.667582219508724,26.092839235863803,22.881650631930185,27.61334296319503,29.852748208463346,27.349610396952077,26.87982993776289,22.141644389668105,22.62842053909245,23.95688351261159,22.0921945966534,25.95308269475561,25.51002504134548,27.45215848563954,30.50010637736169,27.717961633347116,31.777751126373083,29.724583566714944,33.0645496977402,27.179808271620267,25.0811907957076,21.32172233503538,19.69655560465765,17.780634065313293,20.63121165856758,18.053105557099165,21.91094851724782,24.51434818759573,24.187454425732493,27.591086176860763,29.839328579701206,27.442858312585926,30.07920694232964,31.00040315674316,31.67960175469968,34.4459480998428,36.74815540390127,41.21660304569963,43.51987746543997,43.35001039826954,41.79499894167997,38.35586427183924,37.78778102894093,36.47480321043067,34.32719446446877,30.077237570898124,32.24523851554526,26.704985261291476,30.751876126558376,27.49268941393514,21.860780937263662,24.608467467708362,22.655389031599825,21.0819848189456,19.15779586883926,22.18098826834325,22.663663740685248,27.74276646550321,31.214571682463138,34.225018366905225,37.408393432774744,37.51685305117389,42.14357645052271,38.85394807341032,39.586124034418624,34.82219331407802,34.161427469143966,34.9904379937663,35.0873764734134,32.06958950751377,34.43666622072761,34.00531929493458,35.2906279657971,31.172452441497896,32.84187056110302,30.961317622093794,30.53293497293068,29.120935528080604,28.300444365719404,29.790056739117627,30.509159221759557,27.674057504986127,30.909439411988586,29.9903147749087,31.817362553075736,34.82503668921387,36.038418514566914,32.21051791430077,31.675091970362846,36.013623957250076,34.246908509181395,29.129509655612715,33.50379617380706,38.01359007515978,33.11650217185694,32.83390857147691,36.830859336738634,36.50095088051284,32.73135659689851,35.19798394443692,33.03422189689115,38.376156808231684,33.79450726613375,35.182275552300936,39.36816303691338,41.98557261583417,46.37057618284129,46.497587994711395,47.882112357860585,45.6193913619669,47.627820300683126,45.331010569094495,47.40426334293257,45.947864575230724,40.2574505024878,42.11355075913896,43.30154306263948,39.131448827550145,37.08713144710741,38.75466274845429,37.328821550580315,33.8612170313808,32.078744157310275,32.46864986602832,36.02051663513405,39.36057298404043,40.93468297535395,43.74830057691916,47.790788964218116,45.595486083876985,41.12688750795383,44.5746075327954,46.40116407268948,41.723391131739845,40.65296906716216,44.412151908547095,43.54120952835429,40.03801519750441,44.03533507894388,45.85757543290176,42.50865106878248,42.2424035458761,45.618205645151356,43.125523858776816,45.042904050013846,43.21744421329036,45.32363751519333,44.374736139143025,38.975183883047805,40.55068545113127,41.21625315459911,38.43481915789434,35.43166649392878,39.76684830311926,38.276244859906335,33.20596291882671,33.694107937254614,37.56328049815474,35.37030905283351,31.555329511318813,28.248341037087602,29.367937326280206,26.24887316724581,30.463409293806713,26.710899805305225,28.509556350342773,27.501775949506353,23.964865279358875,23.290493691427674,23.029268885205674,22.916607068847405,27.144634465934182,25.285192040714783,27.727223455864543,25.698614137261774,28.798668174632038,33.589007762971335,36.66830707347481,37.873973963820305,32.78965080211578,34.38658944207151,38.13893519176133,34.60370330368165,32.328674632833824,36.663765850929025,39.25149482756509,39.45999373198401,40.92127119333486,42.5355656896435],[29.88837780042064,26.770866815770724,24.323638210933904,20.111727640576778,18.4358006325838,23.543135384850952,22.7565513378927,26.866989682466368,27.371119690208634,25.756567480178443,29.157029812041937,32.31184758693067,28.3387072211885,27.084210743257618,31.61119403683545,31.729712036260725,27.563709656795016,30.32667237476715,29.427881601997143,31.17879138889559,32.84470164412787,35.09266087729907,34.88794591059989,32.34934184048725,30.31788268565242,27.92940785546342,26.843755067594948,25.30346126123554,28.8694682578128,30.92216774444212,35.7948436428265,35.922986879573415,40.36043975795321,42.205628817954604,38.5898708964083,35.17022432244987,34.41219157963141,31.23465575040991,28.842512764072126,32.6966642401366,28.588039761259303,31.398688571264078,34.98425276066174,32.585838021118555,33.42044380082773,31.601804345533836,35.27960315912743,35.461697843782765,31.09238601009667,34.12892202085134,37.27526217769115,37.32484826012377,39.848225159944484,35.719161124864996,41.908064070789536,43.13352141014288,39.439824929875925,40.879839632756365,45.31463860483657,43.50771616554143,40.61005018565439,43.94094873928438,43.62628715722668,44.151513817495655,40.59302797353545,38.2019600395637,36.31496934204966,35.40978926324088,33.00101622790696,33.473294973813694,32.17205628560322,35.08842197382318,37.08797119865985,38.103014569256786,38.614705689901136,44.35703441669129,41.44769836670088,45.374397310766454,42.9580529262058,42.113802951698936,40.76479842943376,38.2126132264704,37.77147229869897,35.95292130630424,32.00968037142707,33.255090149306014,35.04613758466579,38.276057010872485,37.654494305640995,42.93901113259283,41.10822229063631,44.895090036528615,42.78579307387457,42.01230466721163,37.86323898524692,39.8448591722505,36.042783296350756,37.99898814525222,36.282905112853385,39.23300621427084,37.37735822004363,36.446273083448226,35.27499777742607,33.31490710996366,32.510703367337264,29.123269126108994,31.437538473057867,28.5479154144156,26.449864998920553,28.462796178771363,25.16306211372103,23.474051990366206,23.016003935094595,19.973816423724255,21.825515943875185,18.84349282194946,21.668469575179778,18.93055313101634,24.357714898602985,26.042592426388556,23.827055970525834,22.960026868778197,18.25644329034672,18.117122913214256,19.088047302703252,16.454892688173057,20.26051069048572,19.42462922489609,21.269479023167015,24.239239055418302,21.566746186668226,25.692930200946304,23.714424078232465,26.904373812401044,21.036443614500225,18.865947524884724,15.101316031392626,13.539588153634435,12.05258220920832,15.193922313829123,13.816115417550083,18.15173136880094,20.418545463698425,19.409355668950962,22.791009995233885,24.76704248462012,22.213805101950157,24.63570723277696,25.247910678459007,26.150888368882242,28.70018180605779,31.382874793039672,35.62866523870824,38.356791907273134,38.1841785734716,36.3427676313737,32.948998280718925,32.03844418683755,30.876087810228775,28.34020641158452,24.134692719643166,26.691241651612454,21.222721719635892,25.349070731119436,22.09647988993935,16.614890908874276,19.171262644039608,17.83350377885235,15.755460827932785,13.471436658309766,16.255749499958018,16.734333644880973,21.89293962757613,25.33149008504638,28.396367527753146,31.456368281523538,31.808819615350377,36.29841768628052,33.11751543941944,33.666987225697056,29.018176726357282,28.03006161956603,29.009140274471193,29.335355801542665,26.35339814970277,29.122460795032563,28.920402496220206,30.525958395920323,26.975820253594478,28.32780833811957,26.412557263426557,25.428468981635525,23.896933342464774,22.763954392244333,24.170154635500552,24.984969865935224,21.897326148330343,25.17317022845574,24.40956257458882,25.941676678804583,29.280061717356133,30.32465164785313,26.48025717140861,26.406628951485082,30.79334817527958,29.00696325929771,24.31684995693178,28.855045521043138,33.16760093596943,28.586827089299767,28.7224832964462,32.74174135027861,32.31464794963492,29.059280389145915,31.8490856516035,29.603150690863945,34.85430625848495,30.597198172067454,31.318103680337618,35.48149121255901,38.01068878805699,42.577494626901846,42.44256659111004,43.34184264562255,40.82100710248903,42.568506495716775,39.945322544746794,42.1461251697688,41.04887087767445,35.165030618640806,36.77147476759233,38.36266524405675,34.36114868944412,31.953622629089878,33.5963529372681,32.80526454500204,29.32320152037469,26.892902893585184,27.215261458504934,30.240028743287052,33.68639391932531,35.32139968943149,37.91141026790199,42.03483107178224,39.643910896684304,35.28251421493487,38.99562828924319,40.67519852334952,35.96867547804502,35.20521861630127,39.08301121107457,38.26616530108767,34.968238526404555,39.078374061343474,40.98833661141717,37.867486689774644,37.76550110354547,41.11854501346645,38.60182089649169,40.21816027587338,38.06887712660056,40.28242327663674,39.766805393646266,34.24923959151183,35.57386742255353,36.70363572593411,34.09437671213748,30.724663748145467,35.28799609064251,34.401090466773404,29.16265271676105,29.299430012463652,33.662545108903366,32.00950244879087,28.10656406845443,24.76988703622077,26.770941050794285,23.91003935280255,27.86242858859221,23.82533574317948,24.731662978849837,23.5761123726377,20.746659273963743,19.58799561638659,19.630080712078406,18.684875115616776,22.437805665704822,19.95219059523979,21.969762457894795,19.83026740215852,23.36271931458918,27.833537126131528,31.076471549495853,32.19012054751573,27.281458837091815,29.276397166909252,33.00887637852108,29.41190110675163,27.6741836897355,32.09993092574612,34.61560846451168,34.94771477781616,36.34939053091611,37.87423327444585],[31.100253970363738,27.85638582192522,25.124453098034813,21.5415030200432,19.495657763172098,25.217480608041072,24.687437367696973,28.698911025806964,29.711320401137336,28.340406086997508,31.85904758928536,34.76552610128678,30.757507234589507,29.9145107064426,34.3579689356616,34.23008830715752,30.103218430629386,32.878337347486934,32.01768805545631,33.39058695423599,35.05964797156291,36.950938529073284,36.84975467089432,34.21748314320521,32.117543330218375,30.094678824521843,28.845988210912893,27.554107139649386,31.105892195673817,33.047278143501515,38.29378581787501,38.07102823488472,42.590687263289894,44.42077912458815,40.63003981659875,37.270046038184574,36.20254110146369,32.96827081992935,30.329465407566495,33.639120806525746,29.76872575215785,33.04576634633101,36.35315208116357,33.73667979861994,34.61726086780152,32.55782582621514,36.07686711772537,36.31933400742614,31.754706261761235,34.360112593676014,37.69471091728929,37.566892845019204,40.295357931291875,36.45392764981735,42.670005076082234,43.949394271574334,40.494512150527946,42.152587716496924,46.51107731704604,44.66412872931735,42.133699293096335,45.72332047453094,45.57998303105526,46.233359443272235,42.512206472696896,40.15873329008078,38.704743560673684,37.88670938764807,35.78045379605486,36.37478303813261,35.21977938665619,38.25817996992353,40.067832555987955,40.906941314962864,41.25233528612594,46.84640458466048,43.65685823150973,47.52276042689393,44.86854314830978,43.751684856512966,42.22049555727921,39.32092397173205,38.82423956856924,36.63986842514396,32.80340330880814,34.4999096664996,36.571164502064256,39.86509876174991,39.59983228970206,44.983878836636904,43.43377202893884,47.391797026455805,45.373482243895175,44.554245431884176,40.45816761437503,42.60559269039209,38.84485626507198,40.422288067552024,38.57645514021601,41.250058203311795,39.271486443128595,37.91036184465662,36.69142028651949,34.327396283047804,32.97281474186924,29.6195975858886,31.468144119963817,28.219690578126357,26.302396974483568,28.765537905857517,25.844702565359853,24.521323052784155,24.67493530915474,21.776169554028176,24.197396509011714,21.370754289781843,24.24118033671555,21.59369720012998,27.096713738142697,28.810440775251127,26.831019436664743,25.92627952326563,21.314217022747897,20.91346360261944,21.563495252383756,18.326354938774756,21.536022549949777,20.29346362106525,21.518925883144902,24.293961273364694,20.943634977562105,24.77867998969967,22.778518909188463,26.491327622686512,20.696993266498268,19.24339439840044,14.922239237942101,14.443973015273235,13.868407856699513,16.910673217664122,15.95832346915291,19.890584325392506,22.470754937276457,21.337515600870965,24.46061639439101,26.63523623055871,24.156748504597108,26.529211372407044,26.83130762497352,27.988629316969842,30.137974671189667,33.18014964992984,37.11873694482227,40.12167271324312,40.14701309968479,38.13024054748159,34.85727916748036,33.542256273309285,32.59912355089592,29.50019147302701,25.24815993691147,28.113940245140046,22.537460169683712,26.345118957060205,22.508473306099983,16.94539692438063,18.710456137008624,16.80160770287664,14.441942174874846,13.102912782159674,15.919808618735209,17.26688855236966,22.301748876660145,25.904792227084872,29.243656112367333,32.31422275444459,33.17040387136936,37.29485657115011,33.96200414459376,34.18349379699313,29.317474150600415,28.34895279038027,28.70143637913504,28.71648936112157,26.00232711185021,29.105354424623492,29.419266989834078,30.493837952441517,27.107154015354322,27.87775355183692,25.57108946083919,24.752530489903393,22.68450483805058,21.47306400793711,22.67907390002857,23.166518348781306,20.391054813119727,23.665427632857543,23.0095977614467,25.133176303015357,28.196699085937677,29.772974849498258,26.149162164877325,25.585791699676037,30.062909752135273,28.82969660622829,23.961593954046965,28.21109031294942,32.894004745904624,28.72579421066595,28.584866118689703,32.57610696762938,32.65393684891119,29.450488346015618,31.818872666795684,29.26336874150526,34.38155972490642,29.442589807249533,30.285272474451578,34.481296343282345,36.57961729763152,41.23701126195349,40.80368710692332,41.86608027091412,39.29832380602951,41.03254740180328,38.608359991397826,40.45322373674819,39.1975302864657,33.53385028299415,35.09256959149547,36.247726764616274,32.24631283408898,30.02479559625284,31.48368730456301,30.30838478393051,26.97947872462113,24.783136094925418,25.512460593762285,28.941998505192455,32.27892841630685,34.18490422580516,37.0161527996252,41.249216682138695,39.16919331931229,34.67577807606773,38.40570654418582,40.43299462309367,35.914880001200444,34.927388575848106,39.020037378392765,38.49515272801256,35.077641981223955,38.887577404834644,41.08370527380208,38.247992281591095,37.713334498248166,40.8515641724588,38.09926975262194,39.52812575442556,37.34648029881614,39.19708917637597,38.72139778738916,33.376902101370945,34.34871658454917,35.241226660110584,32.77332962669951,29.27652006130565,33.42383227266246,32.498543622902886,27.445444540920533,27.275396509552834,31.36948433598596,29.750912475426016,25.980978861107616,23.06811075979584,24.627427818016287,22.184017906664618,26.448674655213935,22.95001878096671,23.992192750051753,23.581120963521343,20.565373689260195,18.93466600868509,18.282712090269506,17.263264838505226,21.177621220496587,19.479227221925854,21.35042724568641,20.05403720739642,23.713290355050468,28.16398652519959,31.292849649164317,32.809629296349314,28.095464674099095,29.865592497924908,33.831897085769555,30.697879702136394,28.863878656643507,33.044270696842894,35.870394609422085,36.47992371639548,38.016398695785576,39.55238041755166],[34.839272939791144,31.669558113437244,29.065205331379666,25.27439910146436,23.31195049408041,28.82890099511601,28.03123932540159,31.987670665824133,32.72968551109238,30.94444194006709,34.30357752508076,37.400446382516236,33.09612431463952,32.01361408864548,36.278912241860944,36.17448283090126,31.79082826108671,34.10103429591405,32.60049517825715,34.049819000215294,35.23522908760889,36.943423922777185,36.49331985603084,33.55983989184351,31.893609906044617,30.161394347883746,29.425906894964147,28.597964190085726,32.4673085438512,34.84819195056014,39.843232634483,40.06166689730022,44.53594659591263,46.00894220102416,42.22680170164622,38.61432534073929,37.9031382363666,34.099885449235025,31.348461055106263,34.41664216654956,30.018278375292898,33.37350128832134,36.54077048106916,33.60910960171061,34.01183526151217,31.64167643691623,35.06811835682081,35.81617251710823,31.29163442041004,33.74834741213784,37.43555945248977,37.61357535677402,40.453282868882916,36.831857889587035,43.207044912891085,44.04228335069816,40.52907907800814,42.61859951921918,46.77892328818328,44.47719419534523,42.11655141892961,45.88531869006355,46.05292056918202,46.27242443910717,42.46367245930677,40.51765745061444,38.988377462848284,38.623154471596216,36.362214268206564,37.38799994343638,36.00287615869876,38.86785651996985,40.87100439443922,41.358546052936624,42.11934539911357,47.54831057906095,44.37364893474436,48.44158505176849,45.7932964815862,44.494112705124444,43.350368848336075,40.345294173668556,40.37088505829238,38.023961129973664,34.04089347751102,35.89554511258916,37.58970123233589,41.284096216746505,40.64112473496053,46.263642172595844,44.61256644438066,48.458904470324626,46.687562841677476,46.181038976098364,42.25024576664064,44.44067246461266,40.818689158451974,42.61172307860019,41.04314493029409,44.06010899594,41.7433674814623,40.7566765035113,39.13588898072714,37.143453047084265,35.55618174578072,32.554628340415086,34.511553478558326,31.298133674571055,29.71720640279781,32.11469770857489,29.338170817490308,27.62013554366823,27.77165674948985,24.511280198703815,26.47847539746972,23.301425657193576,25.653110786537923,22.490185969245722,27.51440224682965,29.856014670189403,27.95248149218197,27.53777654685009,22.942743245991565,23.121753238283727,24.328112382220024,21.25753026174743,25.036853691262614,23.588575735849332,24.883765882488355,27.25077190103336,24.062050889716907,27.64868618331328,25.18807476295709,28.95473276777763,23.142305972908442,21.914459392874488,18.090513731947745,17.133420254003433,16.122611317884502,18.608012569060783,16.50930877958026,19.799383223954994,22.912847816452867,22.387089474064805,25.377117847757017,28.09095585386288,25.908521336736147,28.734057494630946,29.43036307125588,30.861481191604536,33.31139939232877,36.36180317521584,40.396767428492474,43.46997727532142,43.23633762559462,41.12014189535253,37.662543796277,36.48129990720163,35.140558358624915,32.24515486412377,27.590783111622002,29.927370551930384,24.094416833465786,27.629720443373408,23.590413808863115,17.840150677841798,19.8516013649245,17.290972420262314,15.816027198718565,14.721416195604489,17.898622810201065,19.21645834793344,24.06175613159919,27.768236040467663,31.13873970242229,34.49438675848609,35.28479015336347,39.36655918021593,35.70037292591306,36.09814063891508,30.95949587465848,30.683555453070948,30.640866301264087,30.28866620488334,27.48354074066854,30.002842455685517,30.12893933747978,30.761516521233542,26.835440607719757,27.874366643326308,25.65084363028575,25.44007893311398,23.701811587499325,23.053195019353243,24.60117494219219,25.388332579878043,23.188654297145273,26.682622868790357,26.416274054507348,28.66481492875956,31.821620995182055,33.51361112645548,29.941397354888586,29.437068401941723,33.93663801849689,32.7976720817575,27.966266017317466,32.16880149754439,36.89488706542316,32.74923389142698,32.57468345717582,36.56373095211434,36.653867686641796,33.378392095830776,35.698349512686846,33.13255940614118,38.25473037601422,33.097508329496705,34.09329063191311,38.29577920535512,40.239983923425406,44.898986589364974,44.35226504195202,45.49745319843208,42.880564465227664,44.53563186493106,42.12179790304363,43.73534550141116,42.508961896290984,36.98556819275842,38.355883220357356,39.26023971174862,35.3775330948736,33.185809104959844,34.31262842411577,33.03460588326432,29.96700986652297,27.634991568925397,28.869360561416492,32.17774901153693,35.52608178613278,37.71109710964543,40.497489041097595,44.84518152836294,42.725472227133,38.29287663927537,42.18035130329965,44.20412503580117,39.69724817616403,38.821953766678945,42.96019336103505,42.44809099024031,39.07402143660463,42.881862867390566,45.09730350693692,42.26267185428089,41.73359302511595,44.85448400557317,42.07063764569986,43.4493443460036,41.22007513418946,42.95939453141915,42.54890788686168,37.26611171520315,38.07494066610006,38.90134520023143,36.5102243123164,32.95213588561338,36.846947645284835,35.91068402281401,31.001124446415186,30.622426197474223,34.4875966447444,32.87338026986793,29.234887927887666,26.584190348666883,27.69056279092708,25.39675320256119,29.86384459479379,26.59841840231424,27.863377445153592,27.5446481175214,24.37439529215732,22.80271338970466,21.936453563298397,21.020472339105282,24.979463204871546,23.41694850155786,25.076978090794043,23.8098141312793,27.63596787839233,31.949175008199944,35.15938170034591,36.56203123223477,31.8908562723238,33.817182079506985,37.7266592444066,34.41104612828936,32.70996835405178,36.96766675360559,39.69482799321829,40.19493640078756,41.640638688745256,43.12329551216637],[34.1102281176713,30.92760852166358,28.205193896693977,24.066573227566924,21.690948144611365,26.69941769729454,25.314264767458813,29.072042133670188,29.548964722954878,27.31805776394778,30.53089771860784,33.701063066289024,29.14442171544886,27.998421623379727,32.07768348397221,31.948032802437293,27.456029200093127,29.59137795810123,27.991408064323004,29.500151454125184,30.685746923439133,32.531817661003345,32.10123630489023,29.270972232227358,27.525788257166244,25.625413153930577,24.93299927594968,24.096847680506883,28.040144093061016,30.597767086522026,35.42482344715728,35.876580575865965,40.30181920731698,41.63145179912183,37.90454040040394,34.20550025862573,33.714281318959266,29.787027368962946,27.140917496805137,30.527235114924164,25.940542343506085,29.03119448747561,32.36139482832307,29.587405974532498,30.05058721061924,27.92392224312398,31.510736280748233,32.07348402071204,27.685352390410593,30.552788554705085,34.008144790230446,34.30991984581181,36.9598049633807,33.08703421257626,39.44982558957631,40.257757356136956,36.570175282110036,38.49906235175683,42.716756815775376,40.4828616211502,37.87467222607844,41.5039563648098,41.58702529125449,41.787814449636926,38.0412032294054,36.046833879772855,34.400779066869625,34.03018397429141,31.76182892211055,32.86082777208039,31.49401510392559,34.407828869354724,36.32880378988311,36.757663529841814,37.52952313399022,42.951250590374094,39.82986028149546,43.93367015614038,41.369445654706176,40.17734938905514,39.17540731525808,36.369943290794474,36.53749667988481,34.420279504565904,30.326060519489964,31.902648253687577,33.36004343340805,37.09862472056639,36.22037945786833,41.8493457912956,40.10409688517966,43.901770724770216,42.18151813835595,41.77864496546852,37.92982245285225,40.165749389054184,36.653050619247956,38.50531413269326,37.14013301838834,40.45291327925857,37.89265393719171,37.33437527458338,35.46030626064519,33.94158941692416,32.59491657094428,29.81426036978629,32.235453957071066,29.40648621519222,27.975497889386947,29.89934806703574,27.05442315408187,24.7085810840739,24.643390623141762,21.0284643822014,22.53986319649258,19.16633874754285,21.238052261832483,17.945995269268547,22.912539176954425,25.326338913313947,23.51726791927946,23.29259566853438,18.807691014533734,19.283902403542978,20.948506264921335,18.037198121479648,22.595368077801485,21.031566595216127,22.78223165742746,24.91862372559295,22.538475249151553,26.25684599680494,23.552001651607778,26.754619974312472,20.879650608273426,19.159541433895757,16.231521146332913,14.127628133432943,12.441904329646238,14.558188785936991,11.978257286568,15.39213486222482,18.390503583168087,17.99616223100046,21.062618641992945,23.81675128435718,21.731431169228266,24.785344388641093,25.840790104172083,27.42407117272026,30.263091482407848,33.23764562659612,37.41110328236332,40.55735589818389,39.94850231559603,37.73450732790653,34.09546750844654,33.147368906726385,31.41990033141243,28.935037067591164,24.07958260197612,25.97706334147628,20.134420329293462,23.783248975814153,20.162189018154933,14.455413168427492,17.290187482937903,15.354348567611728,14.335210076202642,12.214103746164746,15.45365214357279,15.97585477410903,20.812924802147464,24.409193602109962,27.574991293545782,31.031910457119363,31.476630180156597,35.74900945760048,32.07377014311723,32.782809336194575,27.74799409158227,27.72341107371946,28.101882165868716,27.974098300508658,24.8604861849654,26.940578268879516,26.57881897529484,27.696883032357345,23.64447494941286,25.258017047566433,23.487250716188292,23.06473599339868,22.00974090865616,21.56172557109901,23.47288027869703,24.848223635146223,22.51469451597497,26.195772525233302,26.198885386007824,27.78917010955485,31.489241605976687,32.65575178825938,28.933351925541203,29.22796217947723,33.6795863595225,32.1105907334443,27.798782275701843,32.300491258434356,36.563438415694876,32.325024164736945,32.65448912171682,36.65070989346317,36.23511525746661,33.24851778215549,36.09934240988814,33.7658782172624,38.918761456004034,34.4855858786292,35.009351067039525,39.159377218377735,41.34840574214491,46.04449086751728,45.53480999798942,46.238648859717316,43.456689137472985,44.892955209991634,42.06268873144577,43.96765431201433,43.16651024133898,37.374257774415426,38.49624664458574,39.96171136262018,36.2614981272022,33.64374226096504,34.73244405742016,34.226873539345235,31.138777861137225,28.023051086053652,29.139621397121264,31.615797271249583,35.15487390874901,37.30920296702825,39.67696883413577,44.04930150619918,41.47311465750925,37.29186087401923,41.4494749856158,43.03650075716797,38.36180834451018,37.989656256120206,42.02658214607991,41.297269158662694,38.22691029116891,42.36195131013272,44.37690878590839,41.45764933375698,41.441901016172885,44.717502485972005,42.12574291113651,43.43303702094445,40.982915835758924,43.062199226048904,42.95791275745703,37.48366793319755,38.33628312006729,39.668153947213455,37.31361675806439,33.58114468127332,37.872739820374534,37.38641802916668,32.268299221055756,31.803798107548438,36.14902116631839,34.874712016044775,31.115964871778083,28.20259669107505,30.06140205899046,27.63408825258768,31.753018483311607,27.968252259144364,28.648039140231614,27.668549956322973,25.06718593760505,23.608446612913944,23.388612379093274,22.02249222914958,25.53015081267409,22.97407662333831,24.277433211222842,22.2867838624211,26.392231745783903,30.333995956630226,33.78907398004588,34.67652650481571,30.051933422031517,32.54035557624676,36.14625070226635,32.296580274058314,31.181916045214475,35.704043848526545,38.002872613227844,38.258138313439474,39.45545577280459,40.80838073743539],[32.25028117664419,28.848320755826972,25.580795753212186,22.161505118287547,18.91752287857922,24.523690484071768,23.289275218666788,26.84471145622089,28.077512849507297,26.27422890271744,29.721199714917585,32.42611952640091,27.942909851817657,27.55442939755567,31.591204092147745,31.08740065292298,26.851666586251362,29.379566547022527,28.463459291199673,29.382504560820124,31.069541139398115,32.66078142506371,32.7533573069291,30.199128457022024,27.88173910555195,26.127969157173982,24.680018519594004,23.696304120376027,27.29925624403843,29.34945213698622,34.84107418172445,34.51125457502437,39.06569174507341,40.63482146743562,36.69282275511004,33.28292055082332,32.13434797536779,28.63569282048431,25.827503367871426,28.854755212574332,25.080537169613628,28.58199299879707,31.724319542777483,29.075096532541757,30.13083754452588,28.139352564833285,31.630991947647814,31.657669965899387,27.066223460235168,29.662664680997494,32.88305220436821,32.69704503254591,35.41135898972635,31.59579438407606,37.81618461458785,39.11474616419449,35.740113788797316,37.44878137697298,41.771372118483114,39.97655423183373,37.59243904153149,41.30797888843011,41.27228478828485,42.07318441645825,38.24597339776,35.87814994241551,34.860715258201246,34.14582751108624,32.46640198106323,33.31793113272497,32.40448912679201,35.6659595804926,37.08058263082659,37.59221835182133,37.717394758508235,43.07154986958903,39.591438986441446,43.41758778003188,40.572526938611865,39.245387855735736,37.69198132762562,34.62397233368164,34.2899776015005,31.950387218134892,28.083057359235617,29.976107494735544,32.066094781556494,35.515379395211454,35.37417517271372,40.89618073572267,39.587296359633335,43.692738131547976,41.88827288027736,41.178382934540494,37.291487797944754,39.736064765918876,36.208334849131546,37.37374186062582,35.68887514002426,38.49437450880469,35.922639017236285,34.69666997097812,32.960320130413194,30.84171502498501,29.093849339225443,26.184914652918234,28.20494841389707,25.117704848385497,23.77479169060015,26.022967475844595,23.520552824763016,21.551618962933297,22.184999482840475,18.84850136009667,21.324870677800835,18.418630753074982,20.955415525255468,18.347049684202965,23.842204044308083,25.61620839564169,24.11259525543116,23.412956683396615,19.11157738156511,18.772787012285594,19.724883790459945,15.91287446862629,19.73202771429949,17.6849474367618,18.87461638114763,20.914973985747,18.065378596707664,21.688611593632704,19.125093543948964,22.625620371040764,16.77516810557439,15.501465737713835,12.029259314224262,10.962913381507587,10.593701780342862,12.98245055688626,12.258150132393027,15.785802878130362,18.457218265632573,17.25576681550993,20.103407338442967,22.562152673939078,20.329621732631814,22.982673319195424,23.446194156787087,25.228397563379932,27.516214782916872,30.934744237612986,34.70987046378699,38.225062841886164,37.8660842940337,35.434025051513885,32.00232316976791,30.523762703917228,29.21322309394384,26.01069739456047,21.312503614013295,23.907382021514913,18.167600494480375,21.706932648800745,17.694751143089373,12.102254881843868,13.998740092080222,12.276924778708407,10.269324916804102,8.513204786300225,11.563969368221136,12.867774968773338,17.756296533348642,21.43843795428539,24.848678089524956,28.123178058263637,29.12108543001328,33.052514520540896,29.468654455899905,29.74522519552806,24.71018838280846,24.222778358595782,24.362198945536093,24.279355133618825,21.41088327807628,24.269491083496597,24.547829404056706,25.626436190790546,22.319654924567587,23.126669495706118,20.981908089360847,20.062867824164442,18.361472961642757,17.43076886954824,19.051398082171957,20.19407804113012,17.756020679829945,21.424810444311778,21.536069256558722,23.282772960596546,26.96907398742374,28.34438072012512,24.777018248640466,25.02925927014825,29.507710217276117,28.27867949502056,24.174109696970753,28.51985673428504,32.835202125779574,29.08570439043081,29.477469797924414,33.40628716562955,33.257506701139626,30.63627037162344,33.36262010614607,30.843343168503196,35.78540150610158,31.246763093433664,31.429593764311413,35.523937336903515,37.41842431971395,42.22163875613906,41.42260364571836,41.936398024911774,39.01881583141098,40.31659789875025,37.44074999440233,39.24913628645839,38.54579784936212,32.77641108002649,33.76352504072491,35.25154750602202,31.642282990773783,28.930947854979244,29.96302648672563,29.639965054086023,26.61096180608606,23.270690722766684,24.489271779356983,26.89579305936273,30.415875484825023,32.70101924869273,35.103025710868295,39.54903854740135,37.09045318063896,32.87380084872256,37.13226993944652,38.86487800698091,34.31538470056054,33.9367503431621,38.14197702513116,37.6354980928724,34.60680823956179,38.575183602471334,40.80224476379009,38.20954732793146,37.9993623918482,41.103446731326,38.38075029134098,39.410694576496006,36.79366500957904,38.71793617874639,38.85932117285657,33.463614902543235,33.98449214152248,35.43810345176465,33.27486477850559,29.313522913529095,33.49361246124601,33.34031913356271,28.28423280895726,27.47431047184101,31.944919177557086,31.022833644459197,27.33494930830818,24.669507308578005,26.832316512648678,24.819289523422977,28.80584760184674,25.222460591812332,25.41217980725291,24.79701739074661,22.597125859098778,20.639550060266494,20.257282836751667,18.357449986076702,21.507826958974633,19.06400187150231,19.974990006036254,18.509051976888216,22.882913865096388,26.599035777497647,30.022284519375788,31.15935300807934,26.794638385454483,29.284799607194476,33.01698768781445,29.54324051562603,28.620906973101086,32.95024166655526,35.4291280495321,35.969135312460196,37.25707984586158,38.58815067156731],[35.4335886166617,32.01810655979085,28.748328263012667,25.73042343718047,22.65194664999376,28.653624331444142,27.74099739548449,31.29911652265303,32.75818408743264,31.09765417051302,34.56938047297799,37.20638436964633,32.70974725784815,32.41275521815402,36.38911837140018,35.792361847982555,31.522237990827325,33.85893586368222,32.650914806220364,33.37531353154449,34.77061348121284,35.96488103370429,35.91075748524389,33.093869872839925,31.042069539139025,29.76895393666108,28.53082674593912,27.97089386058325,31.673874496133195,33.80695452246678,39.394620057320225,39.00675528968983,43.57361967539796,44.99379378171459,40.954916142245885,37.505849936041635,36.2868814613733,32.52541606512641,29.491084423422468,31.829401476534475,28.032237500134617,31.95676184944098,34.73187405015634,31.703730771818158,32.46831881954544,30.04132576949696,33.26309094188042,33.70906338095639,28.989034965967495,30.96213083805208,34.60715165683859,34.41854468743916,37.41372480310129,34.085869656334665,40.36768255228806,41.44878627961307,38.30823613134866,40.47569953318427,44.57841791331164,42.475851296676375,40.563958813223216,44.591690763139084,44.882656983655245,45.522565532209384,41.53409588025248,39.45937339179647,38.7206056538985,38.31796641470494,36.72691925417519,37.84538859841512,36.872211331857955,40.0733213053801,41.52838900516463,41.775330066533336,42.03291295669071,47.19158117123802,43.542079468647444,47.40785164425008,44.39583234804825,42.751307379258535,41.25020936530404,37.82841329926296,37.69930030104657,34.941667543939,31.165580912501564,33.551204504762616,35.681756101892624,39.34776220509142,39.32037705250924,44.99604946112693,43.850384950751526,47.99785246099815,46.36679669820257,45.75686729126901,41.969856392845834,44.49487847919655,41.024556325569336,42.072572377536616,40.3784102032358,43.05493198523871,40.367417549602166,38.90035853536843,37.05524673845323,34.69483036398091,32.373657228246,29.631242478244403,31.141450742714554,27.694073703497295,26.61775194983592,29.317196916480306,27.199554533882147,25.599402600484662,26.63890269293504,23.438802584820696,26.106846783185123,23.21446006039043,25.585385286501914,22.80186280065216,28.030799417884865,30.13635681130156,28.738645499720647,28.203164831225433,23.90229794534839,23.63886831503593,24.508399328438873,20.555174639556167,23.879267309201413,21.655491897821136,22.254058156495567,24.004911855211393,20.45507304705388,23.54292811894094,20.863480864425448,24.98259639900599,19.392985135406384,19.051947902956194,15.219599408763575,15.209204094497707,15.333003894155551,17.444982275604044,16.40124760196436,19.180657498140217,22.35523251124562,21.43721981171702,23.96626946821768,26.79029075570208,24.765339623511945,27.486528617419804,27.81900467517299,29.767742253537268,31.775737197727352,35.38876023771142,38.945723483694685,42.589824400690446,42.3915158577479,39.87569459239706,36.53013708549324,34.80155455423813,33.60538415819073,30.042090493447294,25.292504790365395,27.91615431863628,22.109116295977046,25.136994418514053,20.524994366747332,14.982620126199588,15.93317233675703,13.002614358269547,11.270685314450615,11.256793675694656,14.267216175806897,16.472809021421973,20.928305691274673,24.720974700631743,28.34694966749494,31.685992651673452,33.109902910724266,36.64521637229995,32.82018504943025,32.828030676259296,27.51987091280614,27.354291828702053,26.600164257126742,25.942513148872603,23.43451793263809,26.322747566846573,27.08478807923286,27.25488647901562,23.84428423030502,24.084116540924718,21.485400893158374,21.22787028332582,18.99363704589926,18.302089103639116,19.761773255550505,20.514794382116037,18.84155581755563,22.469907715894287,22.769047621186008,25.311648230577156,28.529931475677504,30.577362266190008,27.311412326194468,26.866277705478932,31.38780514530379,30.7937612063783,26.38192185464222,30.326230333014934,35.090795758011204,31.68100726965944,31.63777639553838,35.520766287677134,35.929873055761234,33.17357626117312,35.36019000045175,32.54719301313701,37.367105417891,31.961397650636737,32.51134353222014,36.63053578169119,38.01767991348363,42.850134355375495,41.75779823384428,42.62095248097597,39.72172711974585,41.050120886585916,38.52680808207984,39.7951171364576,38.80992649052225,33.443255108910655,34.384799826058526,35.131110209726515,31.539379098018852,29.195200568043273,29.886333101029713,28.862805293729117,26.147671122803196,23.28263653225781,25.179599281883856,28.181165381874536,31.494228183748035,34.136388895670535,36.85856593086173,41.400648080347906,39.369372843291586,35.01749231389841,39.20922445445171,41.36771787194672,37.06868115323062,36.36441509650467,40.75051733936986,40.54537650240924,37.33894317519028,40.93253013656986,43.436979963272044,41.07675121632492,40.35653726485279,43.225431606793784,40.25508050758106,41.15716676810749,38.6084154799228,40.04942279884276,40.12023807780725,34.99883723604925,35.15646845528763,36.16905288035607,34.14997676649127,30.168667009007937,33.68891017141845,33.31832432184686,28.60507966716864,27.478913425818426,31.377673593064774,30.363872805272393,26.92979332015816,24.86871567812805,26.133681637996528,24.599989812085564,29.019379247716394,26.172740073643034,26.829652864295504,27.03926901364147,24.387032093094493,22.1439450891283,20.907002884949737,19.24262992886967,22.69554943624571,21.394185551620062,22.275052657993566,21.766918398868235,26.045792061988788,29.82400468227349,33.05214837633507,34.62029129640735,30.413252161374988,32.53698436051361,36.49661196009447,33.48728891851774,32.27857853745026,36.35113681530266,39.153087041074684,39.909427780863325,41.34005235798512,42.70744530435902],[32.906391856612615,29.515417853094377,26.350394442537453,23.615393650308,20.912996570645173,27.16163377955203,26.77873458737057,30.518107677124114,32.154433729352306,31.001353823047474,34.6150351858048,37.16323739984834,33.077569086946696,32.808059405444446,37.0576391256816,36.57530045692498,32.53627788061239,35.29349761359786,34.54206886714728,35.37970103132323,37.09369433330652,38.514727598756,38.61614623102281,35.958425040866935,33.71274585498681,32.150881040552925,30.64116354185975,29.6525008720332,33.11348133504448,34.88162842953078,40.578807824836495,39.889292382333835,44.480436233778285,46.260738532053566,42.26182676826927,39.01831463592521,37.548953172947016,34.29861244299935,31.394344861733295,33.970757601390716,30.537257677887894,34.3399843647041,37.25886977974629,34.451078932563576,35.46842742168188,33.21193714079026,36.48814119517342,36.688755970810476,31.95279108250478,33.98987687695662,37.440456951008265,37.04093229118527,39.97816125456783,36.52057900439294,42.6765613354223,44.06543495436218,40.96265430756134,42.82561549861477,47.0688490528814,45.25575451129953,43.200377180512604,47.072980724381075,47.119724131421926,48.00048339705715,44.104761867374194,41.76363867244295,40.92124910108204,40.17765733562047,38.53137067382845,39.26270924141593,38.350439392277096,41.57624669639892,43.06190251923495,43.66711826402409,43.730215221367295,49.090189908749835,45.53063308152883,49.26859498139222,46.31134784639249,44.85661628838647,43.073730325241705,39.76374645948051,39.18051885830816,36.56306009623452,32.92848942379092,35.164373509161116,37.58593157390551,40.90636472602475,41.130148485914376,46.58897074637489,45.439305836413425,49.616028001187495,47.73299619167076,46.85660470031983,42.87370228607363,45.25849561756413,41.60122889329876,42.6293011447358,40.657199289367256,42.98954413195228,40.78313304115648,38.92427622873641,37.58781016280171,34.78848773298065,32.718668880504275,29.530417909321127,30.789963148643718,27.175398272631465,25.63588138990791,28.569160449422625,26.258780673496112,25.2956425804084,26.247413727235813,23.518298945291605,26.550114343872128,23.956120313334115,26.810314834076134,24.362594853816702,29.912105992376247,31.581434326106056,29.957082525426596,29.013395419453172,24.600365942204483,23.906854855820356,24.23718723568475,20.330730442972474,22.87323744180795,21.050298604823183,21.472650236838263,23.791777171744727,19.765243400873555,23.05967855862157,21.01043019379944,25.26963869139604,19.753437708014502,19.289890206247552,14.650507227460894,15.44228899153149,15.929244085126452,18.656551148893435,18.3381398460317,21.705350814746385,24.496236841365494,23.181728295744186,25.897794338421747,28.241148226322515,25.914902780131214,28.191792682431178,28.132399560950024,29.66209882392546,31.32285381187018,34.8232558170855,38.31573714808379,41.72880001261724,41.91541064559387,39.625319150561296,36.50566303159408,34.68870048247692,33.9706453503777,30.222001639445672,25.95660480857824,29.117547585996167,23.558758100184903,26.86309843635256,22.430984618865732,17.066806965448055,17.703480347273295,15.2409982722227,12.590730116572232,12.627121018987,15.222254338903417,17.564295157344834,22.200642735341727,25.892778189518356,29.4952254005924,32.53227998165808,34.01413508043724,37.608697927970276,34.1206554962306,33.92728776679681,28.877267461470602,27.979009899749013,27.521197706776228,27.146700025724023,24.832802935969994,28.310164612870743,29.280273527376966,29.72049325313633,26.707517225172285,26.682754979266992,23.94086841812677,23.26854246660728,20.556775429902004,19.262695627050235,20.187474778095467,20.295405746628347,18.07922003777258,21.331748865460487,21.00453690365537,23.78157295047765,26.561235182864294,28.75262396634436,25.497743126924266,24.515617283537196,29.023167451740754,28.517452815685747,23.73697510117837,27.54973455182919,32.52416601314504,29.05287511211478,28.725116420109654,32.597474639784615,33.23313713475094,30.31134266903247,32.23744706839917,29.35069926712388,34.16810468022643,28.562770912126833,29.33634691664848,33.48525488038358,34.94215819945099,39.71919541574902,38.7990585381566,39.90577587964921,37.198800784082806,38.78730523309429,36.525602692765595,37.887423783123424,36.57370092098493,31.218516343368165,32.557991793776885,33.21354765268998,29.341829612330603,27.26733780439524,28.365780812425342,26.890224624988058,23.881026372571615,21.752588876437684,23.145992215447894,26.825192488734906,30.008787680185314,32.33114837438304,35.34346964559496,39.724129641004424,37.97344000506768,33.425108469551354,37.25650676059527,39.63348827196516,35.39521676002938,34.28317011015348,38.62666616013167,38.47623262150874,35.0483052070764,38.481610295367894,41.0221456486832,38.63261069000018,37.656258199160945,40.485385524343876,37.471734282993424,38.538137716682826,36.22079740115868,37.60818344009286,37.35668871600198,32.27876982449776,32.65890936034075,33.388619411597574,31.220914764833175,27.471342522129753,31.025871293416817,30.288350916966156,25.547520246191798,24.771714883090134,28.566340313842947,27.23178497549328,23.71918227805068,21.526832812140114,22.66576406016118,21.011448521033667,25.47893262113648,22.73236908249034,23.636446755753727,24.106453050696178,21.214445350396947,18.94744041465534,17.502320845679982,16.129949920585826,19.885833361656747,19.083776036362146,20.463481971260418,20.24680401423602,24.10237833392125,28.254438002505708,31.252461383973138,33.156584799258006,28.83639571398917,30.474912467182744,34.608378295481046,31.99473211810264,30.295067664398008,34.160866353266435,37.23679757435943,38.15479844717698,39.779656654785356,41.269567213553664],[38.16264899945517,34.9122976411932,32.08247998529773,28.90097593200821,26.633172272553683,32.60451056326894,31.98902431649948,35.807321560574024,36.98717838371424,35.34969152825038,38.785013736656275,41.66615433253261,37.2672499944433,36.54954755521326,40.67745313252651,40.320559030455314,35.94221883095836,38.140268398634745,36.543995345314386,37.58310975034004,38.63375442359512,39.85867754408751,39.43849248808115,36.358935653902314,34.761609658199106,33.5511097762411,32.77517677882452,32.33619617134052,36.21871049847662,38.56841407086069,43.870537054901575,43.82017926175877,48.35012839195011,49.69962568343108,45.744438094769414,42.156605630861904,41.205214255165856,37.22592360041737,34.21072698229785,36.52704811354771,32.33928153266907,36.191665357429294,38.94110044076832,35.70421891691986,36.00604271998041,33.293413204269406,36.40534922777426,37.38539397215779,32.730394237210874,34.52500017452081,38.501996477549895,38.55807579612718,41.65006871122984,38.520730818811955,44.889239737860315,45.6321070542183,42.44154223797032,44.90733722382854,48.867001015421586,46.394514742264676,44.56519386182105,48.659724356211555,49.12249606342701,49.365190393532814,45.373334576862455,43.6086995840933,42.57325246755265,42.426423711017144,40.47831242194955,41.73283488129582,40.458803449946735,43.40229454840855,45.233827250154654,45.43623389965646,46.112296179226654,51.29784114289503,47.82370112384197,51.85170150365133,48.94565330346152,47.28317970956985,46.0531367579833,42.63987255429346,42.76156561146536,39.96437041834899,36.12556257308993,38.51968698891024,40.402405633885934,44.24731775809892,43.90869517842488,49.67159435361651,48.32240406179777,52.313533899798415,50.721275013565716,50.24991666059708,46.43492344467708,48.812615819128986,45.277737325332126,46.71216617011764,45.08220655066784,47.883016980064546,45.34618941208917,44.001347803442584,42.22352420016228,39.9156003298545,37.66018448086885,34.860450423650384,36.295818794239274,32.75351839794979,31.530693935475238,34.34720672256388,32.0727910241148,30.648516420923052,31.406563389607946,28.23996585139048,30.63058263406161,27.558708968616173,29.832192812367733,26.704980570829147,31.64071863013822,34.115115010528406,32.479647912960054,32.12336076129115,27.634047025560367,27.670363878942442,28.68507863000734,25.13825716794924,28.441657655255863,26.57975426261175,27.239643227061993,29.20116990499193,25.43557252047262,28.455326720634748,25.88604214859794,30.157527288296393,24.63428757922705,24.29880681016738,20.255120632152334,20.238978543502945,19.959276637290838,22.179883036523762,20.349264550585403,22.976895314293515,26.425392137925172,25.91695841381602,28.533629168302742,31.534361711129623,29.533294904221563,32.37469192151994,32.844596146928616,34.587757894476624,36.68532635930005,40.0901390391307,43.79997950256792,47.17914058508635,47.082394409265305,44.757396516726715,41.396506005045836,39.83035106134523,38.624615619145686,35.218665664767215,30.48279238874271,32.95977354135088,27.073369557752322,30.09725952511576,25.46962042336704,19.867056802180496,20.91640037609157,17.568091662738276,16.258063607556934,16.475993939367555,19.53367349987444,21.67785973650134,26.127066381386793,29.932372243470024,33.541873693008135,36.936290138562754,38.256852002753874,41.86656494006545,37.972196234203395,38.0395548483474,32.65960854459703,32.63876796056399,31.7324944820759,30.874076943874396,28.451406948418484,31.096133579082597,31.78202941063365,31.59141827703348,27.804610043333486,28.14957543498144,25.51656572201028,25.776611611036696,23.550383997275176,23.073820239346603,24.43431977250526,24.894992827697994,23.4535247449502,26.87603325864692,26.915571963164087,29.814702680036962,32.600433593254884,34.906897627209176,31.684037533136117,30.67704578576947,35.17263163222282,34.711819165542046,29.824217856701544,33.58488911260605,38.64518846977523,35.03838007921827,34.56431912184191,38.44943187629882,39.09693978249069,35.910105851224834,37.72567082498475,34.85992822392272,39.73484139565724,33.81401780995755,34.97446135926735,39.12849025940101,40.45180030773732,45.15017423188769,44.1898065881704,45.54855276109916,42.886152367532084,44.46277451973652,42.33330523669663,43.381425120727144,41.992106738742805,36.90899971266453,38.106171861325954,38.329438867615984,34.58915719595044,32.701249377646874,33.4102954526054,31.61875857682373,28.976285267611164,26.96297785405579,28.891097468976678,32.53072364093009,35.66623805540345,38.24849971430335,41.254629077227854,45.71492824721274,43.97705298849665,39.481338191502935,43.391404838665295,45.79273298635537,41.56342363804321,40.490271520600274,44.83674322621856,44.66705286163573,41.21665391351763,44.637341360324356,47.16426517113795,44.684294303787574,43.67867506611593,46.50978333736221,43.47553561229711,44.59095309442996,42.33213730944963,43.570567419351484,43.24742305961345,38.28297718757279,38.58779665076602,39.09097188310595,36.95577339761701,33.299221241023155,36.480408300779665,35.523989022589106,31.041168527165482,30.193044632307984,33.50019792422704,31.993035156147993,28.702874648144736,26.800819255582766,27.126772305354198,25.532048072093257,30.280875147416495,27.84270050201085,29.279736693552135,29.797822007155368,26.496875170311068,24.509064815929786,22.85770924863999,21.936583616965844,25.875652428006937,25.276950248300974,26.634978228615065,26.295659996097257,30.202466906925896,34.360888790575544,37.42324856442496,39.20844585020684,34.816663047427774,36.535236931842185,40.62960966323563,37.77570945050847,36.0370801652372,40.02408746863192,43.02488762334227,43.78235242386781,45.33862698088815,46.807797064757466],[34.53989036614073,31.34504366737086,28.596306803285373,26.458789320841355,24.66098202620469,31.059186243336363,31.430187193869006,35.32683899849942,37.10638949445426,36.47099895410513,40.16168305151626,42.66101089857406,38.972013004272505,38.629189737284285,43.092330680397936,42.73674159904428,38.83747523443912,41.76871983513037,41.090472031945644,42.01760077302446,43.71711099426362,45.119495554392145,45.15019429973327,42.39224099208442,40.27213202484208,38.752332143976716,37.29053016589017,36.2380917615333,39.627785460914836,41.22794845761082,46.95488975942405,46.10355160968484,50.695230626961184,52.66758104392788,48.6808514614749,45.54000656551028,43.92575727878609,40.86718820706102,37.95380629103578,40.34263703837663,37.04946084600813,40.95570591815049,43.78445636435256,40.88099669806796,41.796068488598664,39.34866063658573,42.48629354916931,42.88793039265067,38.09212829423323,39.795276091772116,43.41090760036209,42.91906520841843,45.98209417977633,42.7697902289557,48.869226291285415,50.27789099747477,47.327062324870234,49.29296650012784,53.4777886595769,51.612615740328096,49.73054038388106,53.67433166918961,53.7577052752795,54.621300843873016,50.705476417643204,48.408124171021676,47.535592656221944,46.769614491694455,45.008356155861605,45.617088508642865,44.62274736135087,47.74919701997298,49.40600152289087,50.14859448758127,50.26251619323502,55.69249112306481,52.16896590231707,55.87829388082903,52.90622456175416,51.42433690912571,49.528668436458645,46.121358388575935,45.37093136723413,42.633099398274126,39.15591784114251,41.53217084224834,44.11686468986831,47.333558012190245,47.719089122584556,53.11266251838277,51.983631900589764,56.15708401831394,54.17216563215591,53.17431742300843,49.07953550043114,51.3345971245894,47.540614493076276,48.61539326844373,46.43546857586337,48.425651599741414,46.634267363352244,44.362352245547555,43.426508773071106,40.17382699663063,38.0393257107999,34.61756527259768,35.314812087936,31.413697556493354,29.638445522816554,32.98087720429548,30.745318992871134,30.585236903824008,31.556077747194514,29.311846794033396,32.55513830997003,30.138131433118232,33.20310257239212,30.797608854299938,36.35823364812668,37.98864720658341,36.17203905741003,35.06857947053496,30.54274084128407,29.6895553885365,29.63576423820151,25.935835369540733,27.567970982494025,26.166448987159946,26.153278035842664,28.738953701965634,24.06315022530123,27.00648355924001,25.544706308673913,30.146954890169983,25.04971078923838,24.973121531546912,19.828177250213713,21.480619782421794,22.19334419927667,25.15843355811142,24.878117342910205,28.26223622843745,31.119516733250467,29.79914494439619,32.52829668129648,34.7647959170103,32.3417267654781,34.36168251677352,33.9938979255229,35.19275357720337,36.42578469695134,39.807155540328075,43.12146865516136,46.26088039060879,46.92868173652512,44.879563940984006,42.02846510793973,40.07556556257109,39.816293947571005,35.825535708361784,31.965046380244722,35.450894831835996,30.035945431817396,33.270754352774375,28.706364039433957,23.50250884237287,23.58531807730127,20.824967100687655,18.071499527933565,18.869710491035168,21.14022871170514,23.830034846873296,28.302588331628062,31.928033336322972,35.57721060283704,38.40406127759812,40.11422291706493,43.536351547028424,40.18895957853464,39.710400328300445,34.743620167907665,33.52000417663392,32.760161073594766,32.226445148587416,30.339283731233763,34.1352967633608,35.48227312877527,35.52603296866821,32.65882558698558,32.17671143925723,29.112754231535206,28.667208808813186,25.4148483451831,23.93662363887624,24.268605411564078,23.477804379984523,21.53232805649169,24.0936391176794,23.21521750291954,26.71611148978669,28.42922139957101,31.235793584767215,28.35404299660092,26.19115739921093,30.47961942159527,30.588133723912105,25.26218782683978,28.356777218030306,33.80939284066605,30.564975694967426,29.45082312784175,33.12965025028316,34.49571388347391,31.222993129450106,32.22909093001826,29.11581781467532,33.68915318381436,27.100679737542496,28.696362938220645,32.767417971768374,33.826025192669356,38.38380209607684,37.499521679671695,39.360460896062285,37.0574013404337,39.02482396249383,37.535729767258665,38.466485068196505,36.437216428232226,31.697784877635858,33.49507294760613,33.23911414009601,29.14023772792646,27.94751851751374,29.18513557795812,26.380128283736386,23.476781225067942,23.06890228757031,24.355873713313677,29.2108942875475,31.913928338844645,34.05519251089433,37.6099225829853,41.751798159629146,40.73414518276414,35.964154414519534,39.168315752112655,42.10368718744839,38.223924039831765,36.369487960295686,40.664311148902456,40.795205615700745,37.011026616468264,39.85133892412732,42.57863318055362,40.3289079268512,38.6246157375615,41.15368172850579,37.954484629810324,39.167075032352926,37.331544853513364,38.180026700963715,37.358531449491636,32.760308992725726,33.15909393719511,32.98235731460437,30.78144725236075,27.58287161094981,30.346328601579497,28.747970563357185,24.578070795565345,24.130119076874074,26.853355773036224,24.8418203903212,21.690246478522553,20.09348666580452,19.665821843078046,18.374369287228127,23.24505150991932,21.63366454235006,23.528791728054593,25.034190970304554,21.44317264004093,19.23534015643867,16.761217511548324,16.48049883995075,20.64860096492384,21.555984955657838,23.46663291345149,24.161811631265472,27.22148679572565,31.72353246584611,34.215374966405136,36.738071146908496,32.470794148006746,33.20846589008114,37.58899681857792,35.765782489701266,33.274486108439696,36.62473750812305,40.186109375521816,41.38411669702571,43.30495283117343,44.94807911370166],[33.8454029005487,30.810267267555854,28.522835368299823,25.608858226527044,24.494699518466977,30.493737081679505,30.774503745453774,34.93661260912174,36.14473509006391,35.29363043382004,38.881070695369154,41.73215899386039,38.07580232226685,37.185567712779104,41.7979414285146,41.76223842362319,37.737617556246725,40.590831773626725,39.6676869934695,41.06313563443392,42.598688890258146,44.338290514012016,44.09763877367268,41.26231749779206,39.38992677987591,37.579936081507014,36.461836051220736,35.276090980267576,38.81897715910628,40.65849680679931,45.96240528512674,45.598696338594344,50.13071590087617,52.07755717888013,48.26148714429385,44.95804115246281,43.74888730941491,40.55953248027402,37.81156642730437,40.730815741277155,36.930996966572096,40.471600318348585,43.58421331821049,40.72572059530289,41.39445449485904,38.98988967006035,42.30404370731134,42.902679566274635,38.21668270352098,40.32316278207998,43.99141424574007,43.799105162286125,46.75805071373973,43.278329876061015,49.51358128537513,50.715743229346806,47.44962814008388,49.383322387791694,53.62443393528956,51.59059590871688,49.365501269813194,53.1394487866521,53.15143008802499,53.70053788640043,49.90061531656228,47.70416782124074,46.29573179859036,45.585438889519075,43.384205693618625,43.97335825982486,42.7040158819656,45.60078253351096,47.61017706290467,48.475348145531456,48.9478249346962,54.54220230465909,51.3408015340531,55.21716004074175,52.49752125557708,51.24478061523096,49.64790244464238,46.52757028088751,45.97017716181868,43.516613534487675,39.811279055944574,41.82153342316598,44.05091514294659,47.35890459201199,47.25274863165228,52.65499984481909,51.15721697453004,55.11632215586218,53.06722185478079,52.1864865943211,48.02031469343371,50.06660198857744,46.199647450853035,47.81072303661036,45.780780355987375,48.12146455998476,46.47703570969543,44.67497296422331,43.7650501014987,40.91180214079911,39.28984765301814,35.761078569477995,36.965892450987354,33.3060150537429,31.254032063312522,34.25847092062605,31.511637698088112,31.0110671824717,31.34788191504207,28.91005298383288,31.612082142309315,28.947951243979205,31.934311100536796,29.258511324033435,34.6519636746744,36.467050411424445,34.35837903581536,33.385316410386146,28.7006424930037,28.188233900112472,28.45771495099944,25.32173317992654,27.5384169793604,26.563431015046245,27.186333551609092,30.11233297657606,25.887956174038806,29.30812853381479,27.71589801888118,32.013644501116275,26.551087461116378,25.77237411494708,20.785860696444775,21.505771487025093,21.423184114136806,24.544882118938204,23.56419246303338,27.209025529876772,30.05733570905415,29.013180563801587,32.03501643237929,34.27963278285786,31.784845206390642,33.97707588889757,33.96231877763084,34.9025458088314,36.58460311062773,39.59087479013666,43.31839304651886,46.10172141843887,46.6173301683666,44.79920897934689,41.78343851216536,40.26456114600077,39.7574132073624,36.29886804601705,32.33157883236943,35.51779306039473,29.978662984964302,33.56908444468581,29.326768238885776,23.812374012199122,24.76123359741064,22.12961471657689,19.6473691714057,19.56641051322103,22.19095917959894,24.2642195034879,29.093340608594932,32.743954178625444,36.248769795607814,39.196828971050145,40.40872199290648,44.27638213718258,40.94870568370642,40.83475420209526,35.882762404963024,34.74575197514659,34.51977231899929,34.193379196418526,31.923299695923106,35.3529454951537,36.16523643849362,36.58006702675609,33.23254102026837,33.42453841291329,30.659060191860124,30.25158968272474,27.498570779191454,26.185668424462648,26.871609250814718,26.49328507819131,24.140315129296987,26.898602345118373,25.823780608889987,28.86598577059608,30.881579550588523,33.22265016441547,29.987156945973037,28.13726615440797,32.46746805629395,31.957448381105106,26.436136001693804,29.94363895027977,35.229334028480615,31.306592405445855,30.276728011242778,34.096404042536385,35.00953651016568,31.368838274612653,32.70486945609518,29.863260220915674,34.767773469839774,28.656667487595687,30.442561290601425,34.59619243896063,36.242637020939,40.6903681818899,40.26636455237312,42.15722671436893,39.98219912032079,42.0978866407386,40.47242196387722,41.79218391094632,39.79200016658738,34.76587411304039,36.74530854472312,36.8828893840377,32.65319329511051,31.307449656575844,32.80487883988585,30.249460377614568,27.0738672035181,26.484254868717763,27.33156441873429,32.01286270498881,34.90265704093638,36.76432629351846,40.1993613023613,44.26987213993637,42.9639514922586,38.196056370688105,41.35510392417525,44.0250271141908,39.87634970462709,38.10047839243673,42.2112499542046,42.019162987541264,38.19272100143532,41.36662026437547,43.806800728287726,41.12843837127302,39.76729798601062,42.584010256445,39.59262511302896,41.16396002168438,39.46084019632625,40.700596621393586,39.64118080000597,34.7874607008274,35.71860049237836,35.64491106366736,33.14667747219238,30.164122332842158,33.452075048862255,31.62747265284976,27.157456225057313,27.257156717301132,30.24069180665543,27.915638219930916,24.515992864665915,22.219534288787337,22.071416126990457,19.92711133978587,24.72733109856111,22.43279926197451,24.65278286006438,25.426563294530293,21.515325438924755,19.9123343320358,18.0627800072182,18.18091241673411,22.64648718031489,22.820647661958393,25.176861581149687,25.008837583572923,27.961218097517012,32.789581244123134,35.41800802458556,37.63938925267167,32.99022828569066,33.81362960711682,38.0946012272252,35.822963975376155,33.13159204641712,36.760910708596754,40.147984545741025,41.07304898870021,42.93467397674275,44.631812783184905],[37.68158167492827,34.70405963168004,32.50681554934958,29.307819416778504,28.1867053833741,34.04608104544735,34.049035629310545,38.207726993703915,39.16905898355241,37.94127240746116,41.41461768119906,44.455930832789846,40.52579322714321,39.414505520039455,43.90413407871572,43.89943968738393,39.64473244023581,42.1249272800547,40.67325977611891,42.14713880433048,43.273890064097024,44.86325063190433,44.31793614373189,41.23955308190309,39.75403241888384,38.18462028585177,37.494747560251696,36.671760584074555,40.47731467228861,42.688361236701894,47.78206616871048,47.8063018101928,52.31114772134752,53.95625900611253,50.14690804572739,46.62047592308503,45.72014689189782,42.05179397053373,39.216863038932715,41.95030486010071,37.71404476175175,41.298877194432364,44.290130469662955,41.175227469794066,41.42465908702155,38.76303925189299,41.96372317262694,43.012369176949726,38.38914195345638,40.3437406010204,44.30796959699364,44.38584454574986,47.43443548318398,44.15591837924011,50.517887847525564,51.32470694121996,48.01445907107748,50.31929637028702,54.379263973821764,51.94422607566668,49.873284671888115,53.78997154359022,54.07179031325421,54.23130898965273,50.36968684032588,48.53331857428722,47.045789875896425,46.719002658925554,44.37297181939921,45.31719180652689,43.84460340813979,46.580968173236215,48.770302371009045,49.34373428181544,50.183599585801474,55.6410799660888,52.466614906938176,56.520675697394346,53.81465672301445,52.41165521717301,51.15572295015687,47.952691185228524,47.84327079379052,45.257518905699925,41.41963017991068,43.55164242538145,45.45815440642478,49.10814922702908,48.66734274800807,54.27541732113004,52.67720676203281,56.53392607024931,54.69296845771964,54.08321246535806,50.04599719778138,52.125397068714356,48.363284225458194,50.183549073492706,48.388923748426876,51.05300390653821,49.11147504345602,47.64513091192643,46.38345949435494,43.85454248732851,42.0503082807053,38.79928921334047,40.14576948270159,36.51987527655754,34.741096805219534,37.67055729658565,34.99521797512586,34.10212989071082,34.40871609427361,31.62283217396787,33.96595721712999,30.996507397010127,33.598349192338205,30.519539116274135,35.526601866988486,37.84179884799925,35.779625938206706,35.194794135455794,30.497930236517377,30.438860635575256,31.172162562673865,28.134732221719897,30.929353844456895,29.769260160421826,30.524264071200356,33.14702306548602,29.087769290427133,32.36059384630874,30.3486361361976,34.67950364286935,29.142981169153355,28.47369604782796,23.84999206067434,24.088997356349054,23.63480248487077,26.407976548963024,24.60548028316526,27.772598084717153,30.995692450581508,30.416728315049912,33.34799242174379,36.014791843024064,33.7377610771708,36.3088207619107,36.6320130128894,37.80168930422474,39.78318676291184,42.807603782211544,46.66399892721186,49.518612989648844,49.791052670843825,47.88147103547792,44.67821942305551,43.28427146396493,42.41989920519297,39.13589481697502,34.79876204919517,37.56317150693294,31.795434810941988,35.197908958030325,30.807232655664492,25.15126346770624,26.31416945091097,23.2109326562057,21.415630643468656,21.43207423343652,24.35363382411582,26.36859391963112,31.10434201832397,34.85253471182002,38.38982513950586,41.59119078432972,42.73120303304826,46.59502007914842,42.978445960644905,43.02613580796569,37.83525119687514,37.27123294328545,36.74444618370572,36.118667742104414,33.75699786415746,36.69405216171316,37.340698580777406,37.386566079135484,33.60798803574956,34.01545701314853,31.332807686026644,31.438612379771616,28.97764330302584,28.137894928976937,29.13220625955973,29.053715148538895,27.16448150947792,30.159610918334284,29.45409747484216,32.53620146214337,34.72115916816992,37.11114985682565,33.87009822041919,32.175018775615115,36.541863587367146,36.04899286528227,30.593464210120565,34.13116116520172,39.40965567449883,35.46520909789057,34.471541455037624,38.29867291887003,39.15666912615574,35.464074290215805,36.828649331331114,34.019825758715584,38.925919699637504,32.73123488574485,34.59788330494231,38.7363449764035,40.26023385242048,44.68568105899707,44.16742509579584,46.10632444470246,43.88053162652886,45.90466283657614,44.26110210784427,45.38576599481345,43.44199762740992,38.53613247579827,40.31812144508257,40.25832583572129,36.17086051290584,34.81717182836558,35.99729839164589,33.4136061265618,30.50735502580527,29.699627457235394,30.996918301026067,35.48685481169301,38.41581218905423,40.530690814996454,43.89915735717695,48.084273328822036,46.70462044364442,41.991365297954964,45.32477128603059,47.96313826290605,43.78856158847388,42.150655819661075,46.30550748333939,46.09939753682367,42.321657240145335,45.54032303147007,47.980419485715565,45.278276275762295,43.97222935085954,46.794322708860925,43.79377107770515,45.320618987321744,43.5567862448868,44.72781828743242,43.74970489227924,38.93554535611061,39.72784788655662,39.64000561621367,37.22191271516408,34.17129503793912,37.2567545184201,35.4709647442336,31.147031899144505,31.037356686900804,33.8273964946244,31.56083895763871,28.324101630617964,26.267521604243836,25.797368426872563,23.821189732371977,28.676023631418285,26.53937763426303,28.85352888477662,29.577520960725067,25.618597463805777,24.102830497153374,22.238550576860998,22.32306631153918,26.743604143961043,26.820566878859122,28.974817496161528,28.696288245673557,31.882762086500247,36.61156305370265,39.36333369374171,41.447634460565915,36.78633303135692,37.81731932024941,42.04696937880879,39.53906982085928,36.99061683019057,40.75007566996594,44.0263086977748,44.83239398483083,46.60679767733049,48.25755508150669],[39.61949656658575,36.914287762643426,35.21590445044129,32.174032598639194,31.828791567666272,37.5444033344853,37.97137311913708,42.27883707855794,43.12306975265501,42.16272125651192,45.623860954576365,48.73854614839037,45.10092180235288,43.76706615249577,48.422764048645774,48.61528881002066,44.435735632246235,47.00947304922138,45.561629236737936,47.25004620517995,48.33328761734493,50.043138452289014,49.37307007957019,46.24324142625437,44.90943495472995,43.24953462276797,42.675543815144664,41.73765111185902,45.5166705618744,47.677208048644154,52.632249304183304,52.716328975975195,57.19283357060511,58.9661992408833,55.236174291286325,51.73260988222482,50.87222472644852,47.31451153756051,44.54296041532029,47.369058098246335,43.08468618677804,46.585962726016305,49.6298790248501,46.506565106620094,46.63848320330278,43.91923220304793,47.0824135512595,48.28564559930524,43.69152709845463,45.58547793933154,49.63313173434614,49.74588731974297,52.821474069295384,49.576231656274,55.94025687813666,56.707036232313676,53.379904262960196,55.70534744229362,59.757679930111465,57.25495862943066,55.15343419937139,59.02833063810701,59.286585979031535,59.33008554551625,55.520545834453,53.732381492854145,52.02611278325083,51.68175014296168,49.11342021264546,49.942069183203415,48.33159552935973,50.89542935460723,53.31705242533426,54.04242733343543,55.034222293898125,60.593873702040426,57.580829971359016,61.6636400700838,59.053615877583354,57.73532629642692,56.50118400092279,53.353683808890466,53.17956012188078,50.63282310737814,46.81258553358213,48.88726775706884,50.78993118906474,54.38319899180351,53.88045423462956,59.428650845746795,57.705519884370915,61.46981175919249,59.52871884964061,58.873815443780785,54.74105222410184,56.64312183229944,52.77550242424846,54.81860424664921,52.942847154232474,55.50252895272355,53.89922274560236,52.33756532133143,51.35283998749353,48.676281444334215,47.02854407093157,43.58123700756412,44.77647810139592,41.0734635084922,39.05520656855137,42.09250205914688,39.28728807908706,38.752033885937415,38.866129024460264,36.32555915283722,38.63281350009789,35.734916629682374,38.44500806281127,35.37085047441637,40.30320659072061,42.59795866244846,40.331071790331265,39.673056363308234,34.91826489370379,34.84238278183662,35.41710185638181,32.68746431567788,35.1087323676843,34.31915647257424,35.0295551321105,37.92190272174598,33.653898489996024,36.91113539002908,35.19755500885894,39.615093345501165,34.16809108683316,33.473058274426975,28.601457681976136,29.06265379267073,28.575684947663575,31.532592035146482,29.689526906411967,32.95713331139053,36.13455874262743,35.58940987056852,38.615777178456256,41.17554309502228,38.80426515491952,41.24558712373451,41.48201097687719,42.35608062714975,44.21919951089438,47.02462235151344,50.90613918008941,53.43649185492606,53.96206444034433,52.305038402139715,49.22319720075257,47.901794804707954,47.24561698509241,43.99536394441309,39.87738010039897,42.76749929862122,37.062427564464976,40.56207453717472,36.21146574713706,30.564919421531943,31.663082946798294,28.533151399239017,26.63150810556639,26.74795551020431,29.580278292705557,31.619129704265678,36.40366355163665,40.1255866930065,43.647191706348934,46.75487686629743,47.859673556463584,51.7876152595808,48.27878104619105,48.276245503781645,43.14708654466267,42.37398230246086,41.889132777812904,41.276553504270126,39.022723835719994,42.07434835254683,42.769589412000606,42.75972759454957,38.961705173575055,39.31331832940263,36.55597553721728,36.7306027383976,34.10593194707363,33.16011816812629,33.93254957188185,33.50355297439071,31.57881708189789,34.255278424867385,33.180056855882285,36.45329402034258,38.12701205191483,40.66840598620696,37.54192573415825,35.31493717834933,39.497254725095836,39.13731245588077,33.39042291835507,36.577333795766265,41.98475648370608,37.976491003349274,36.54549974512174,40.21805825105086,41.34150688718024,37.34171565464457,38.201846519249095,35.44407325291049,40.20084454791748,33.736841508820824,36.182539529886434,40.19788184072802,41.68538377565986,45.81612220891066,45.55189768048588,47.98794832058082,46.12029195786308,48.43066975348834,47.24045971867365,48.25120112415923,45.88292943915395,41.31185442015977,43.430856783021625,42.9776596421657,38.76007303799213,37.89829003809505,39.2570569198891,36.03034702360252,33.14394237080555,33.257381109614414,34.29123954415696,39.324949276340675,42.02341053610358,43.89251490860397,47.5180014904386,51.497870995418346,50.46635490006279,45.6415486653433,48.54317868047201,51.405015081957316,47.371215083135205,45.31851372851129,49.32773447244728,49.169075405506,45.185998751512436,48.12680696649731,50.53876610102579,47.775164974541276,46.15510681606836,48.86439049093665,45.87537106173475,47.63483848738869,46.26223184478502,47.24154671322542,45.79919386371463,41.26500167984071,42.28225232789435,41.661422667722675,39.142164664841786,36.599584102320954,39.34626819862882,36.94328979811777,32.9923415374276,33.320046660806774,35.463573984424926,32.68491899062166,29.71619308187711,27.834982259018087,26.482185935449124,24.48002540055147,29.27960744216578,27.720420466597833,30.70557251479403,31.744513147794997,27.388900711857996,26.23287557122947,24.126410457530866,24.95937505697538,29.52447116611342,30.26078577801853,32.80923003767884,32.7368295552946,35.41050650203775,40.40699074215959,42.88508188123257,45.21390852614077,40.479220207765906,40.9877662733587,45.283464043851346,43.12126174628365,40.03892364407202,43.527677465862496,47.00240820851186,47.869247314705305,49.79394973988041,51.5499511632558],[44.55836265848564,41.78249717487415,39.91471857531794,36.79753459738202,36.086674366063846,41.86452249455363,41.981952911954465,46.18972239089542,47.00575812919717,45.70219523761325,49.08944417116937,52.26717730531631,48.292407133654606,46.959857313628355,51.40869328912371,51.490924432465384,47.11608018385625,49.308490023058475,47.39643922721549,48.96099504749392,49.656968206939325,51.04678261513058,50.15308527214045,46.81190155403331,45.82353077817548,44.560942503496214,44.31076341233013,43.819296918692544,47.79914944972669,50.26257808115483,55.15398129889061,55.46704861334506,59.9357674287975,61.37193783219684,57.58322855140597,53.90544641918419,53.226082330348305,49.20815141607871,46.29436476938336,48.705617390663576,44.17400721348746,47.83182857765635,50.60947425833983,47.21577570987376,46.97469625588218,43.98783942680939,46.92641407691262,48.53512285847649,44.00813738004874,45.57930321119631,49.8877890611091,50.1954178538274,53.37270080576078,50.479564872065204,56.87865681415101,57.2767494595091,54.047094158277325,56.77781684216512,60.58354128804685,57.706532515379905,55.93171452814409,60.01577447367854,60.60962140742793,60.3414003059786,56.43250341989299,55.021168204322485,53.462461193007904,53.52287393036781,51.001834916417636,52.23133132137245,50.53049223457402,53.01925239002399,55.46335716222533,55.79676197273378,57.036823580630774,62.34265970532469,59.23356011247035,63.43515725357704,60.742634395973795,59.167074760641114,58.20379438223853,54.86799723100896,55.12448479785657,52.34141892290094,48.47803377523662,50.80669451733745,52.47651082941361,56.397507259339974,55.71962455029612,61.481865031721696,59.80580493336993,63.537191358311496,61.86869428814122,61.4745737089427,57.52432883457388,59.55966334136538,55.84799357157925,57.886853074110185,56.21787971223784,59.00922710727602,56.9924884703938,55.62997003968988,54.2314352781277,51.773645910323765,49.74753743992457,46.65076036061977,47.84558691656412,44.11592279556793,42.489802488703816,45.546926439953985,42.985026099413005,42.12236881769663,42.43919272157505,39.58839238665295,41.73596834725264,38.61661581968151,40.953052207731915,37.592888378040854,42.159312853152315,44.891779721140736,42.816771165462086,42.517226109673665,37.83090668540597,38.07430197261562,39.00497444085376,36.12608369929666,38.96642289073074,37.812367567174036,38.46254409773281,40.923360057652765,36.72049499708,39.684985431511784,37.57368603911869,42.072703854525095,36.68975090101509,36.31253395478918,31.76397302409971,32.034901406189164,31.463907910134523,34.01647493854699,31.655728256520323,34.30733953437042,37.82754997274322,37.65318304717579,40.453275807937516,43.42997124154852,41.32531569504655,44.09676506687927,44.56108850960556,45.79175169195473,47.82330827953667,50.81480498161838,54.6918045494165,57.47083462305129,57.76539118047077,55.88958760335844,52.65023897720853,51.29404642599897,50.328272720078594,47.06836793740122,42.59490725472265,45.13654369759442,39.26247305249281,42.419945805048485,37.84269116746435,32.23717901460067,33.26627044674863,29.704280121952802,28.436143026591086,28.869726721783273,31.84292200496191,33.98628118147433,38.524736312450386,42.31437639780217,45.89947500463453,49.22691128763174,50.42827259478,54.17953712733421,50.358171768970216,50.40568733212213,45.04451283434291,44.85996137528973,43.890204668895336,42.90178411942605,40.69127908411967,43.3034354365983,43.992028608145866,43.46398577887494,39.401724799681745,39.75998127132575,37.053682480771165,37.746372954305905,35.33646710765092,34.84779504693601,35.833232191782706,35.62525372724397,34.29439061128489,37.16475961433344,36.56148469323387,39.96515029339279,41.79191956486656,44.499707053674264,41.453971290358396,39.36917862021502,43.609402703701974,43.435708650298984,37.845426034080845,41.00994151776934,46.450938418475154,42.637703766299964,41.29164539091824,44.96452714826419,46.13670630674677,42.25176874109281,43.12675613420357,40.295647119684396,44.97947059257463,38.32953823633258,40.68696552842686,44.67646555705758,45.84431305517424,50.014552751823366,49.448524225139884,51.85085278751944,49.847787433265346,51.964924989787434,50.7439516308122,51.430449945395715,49.174713545727464,44.80073439636768,46.60510878473351,45.86926364608657,41.88568773471992,41.00500911866533,41.92391703341667,38.70132763243938,36.208794898862244,36.017862040263196,37.6624109650424,42.45188914018715,45.15699426689147,47.40241294129831,50.95524787289387,55.100528926551725,54.04083678033745,49.29004401780785,52.4484678967199,55.33520416875385,51.33855026906258,49.46085526277571,53.60339925858264,53.53123160244507,49.63561818461391,52.56144035773267,55.07820390775178,52.443023907308614,50.81110361682938,53.44868581610986,50.37620026837654,51.9317119351677,50.391912592738635,51.19832746922033,49.99280023304993,45.54218360827362,46.208501013840284,45.62296685779833,43.30537717460024,40.551254446124794,42.96643213680796,40.78838168194996,37.0414865673294,36.92182993226974,38.86655733323792,36.344341134919034,33.61100805058948,32.1423575806204,30.579445466062808,28.99908784801219,33.876582285044854,32.54716620890509,35.388961187673196,36.540866888564075,32.28906952108926,30.94807020647389,28.707304761553406,29.24676414869337,33.674829496868924,34.40487807333163,36.58301770531184,36.619875944012485,39.64593632582225,44.42063038251941,47.029115630794855,49.28043305668577,44.658300195053826,45.43517745539498,49.71458903471197,47.397335718214926,44.606596291772156,48.187957376484455,51.579091987396644,52.41813576702248,54.23457173452353,55.926995518053],[43.43433772052194,40.951496852736796,39.61075706674351,36.541063266356524,36.64659574483353,42.17013433390048,42.71482747964755,47.09676573436993,47.73936365313199,46.77549823871499,50.15805717718649,53.40130185489765,49.84116388502993,48.26202928779809,52.94973865755403,53.2912176043841,49.07462356501629,51.53355926627726,49.86353704001969,51.73201017606824,52.60405981896447,54.336532402456804,53.450332176116696,50.20225619329007,49.14811021382471,47.52474921545738,47.218185091482475,46.35374744519446,50.21245239119704,52.499594079853665,57.24030784002921,57.55239054689287,61.985525329593095,63.70273164653187,60.045063057581025,56.46238857480417,55.780589370834235,52.09752714665137,49.35062055266024,52.17813544040229,47.67841977559488,51.107866963319964,54.13566605826929,50.920322730776974,50.78934043028874,47.95438687660426,51.040343242892106,52.52634729382129,48.007228788514766,49.82607301652579,54.028443324290166,54.28242195307079,57.39667352263372,54.24426636438887,60.65266200071199,61.21479344289943,57.85009605594578,60.32817920604745,64.2924350782365,61.57269694546371,59.502128908512496,63.38522534223901,63.74015155401577,63.51927189785479,59.74006324571778,58.1521465013946,56.25321282279816,56.06402047732838,53.28375767599846,54.18583597648587,52.39934377663027,54.75470855505846,57.40317247222194,58.10231355444035,59.365719326594224,64.91208018167144,62.04901967073816,66.22476885037507,63.704006724448554,62.393699859220334,61.340392979482985,58.21836541795448,58.19965532882045,55.64553853273937,51.779419180616514,53.84199797835359,55.58162127902944,59.278315634635256,58.56752903653868,64.15148257224398,62.29000821065223,65.92466130380168,64.01438447971981,63.457450388194935,59.33002007025481,61.11636813217716,57.239731648921115,59.532850928258064,57.721741420244506,60.37091113206828,58.85845550657102,57.41104334984906,56.448591707532124,53.84432185952224,52.24820846087801,48.796429860808786,49.99228632407221,46.27619847019221,44.21538690700354,47.260314231335634,44.38683119943325,43.88260900029284,43.842680358488266,41.305732294287516,43.41688357258274,40.44466928462018,43.04280968567071,39.8275592743661,44.509068410325966,46.98476523796037,44.617552411042,44.08518295892136,39.328011582063276,39.435256486962096,40.111574316300015,37.630865067708804,40.0857715984698,39.447536593828396,40.213753944557425,43.15331719768928,38.86728234916244,42.0865419457903,40.37504891985012,44.824744947386854,39.38686135185856,38.67982354755279,33.82385254198672,34.1922901833043,33.52712735777731,36.444557087415085,34.266880307557486,37.39137352206848,40.65103370895251,40.320791405019975,43.36356562980602,46.01186421420984,43.677610274970355,46.19161620528974,46.52884419235793,47.30804478900362,49.24190583743627,51.89911463988803,55.86405821491595,58.20461762933377,58.76935588518154,57.24045855794026,54.15080178321114,52.951704205635885,52.258956812927266,49.134662780456864,45.00107781972931,47.77548028174443,42.03170537778202,45.52139688820347,41.17519201172561,35.49757644236725,36.67842593218697,33.4050034118645,31.707111372731653,31.855013903775593,34.744560547958535,36.734723838013544,41.51284651441538,45.24750944981796,48.75522133930898,51.90990769341622,52.93351672991447,56.917258175796995,53.36342012429881,53.41765143706692,48.243327376686175,47.578571248510016,47.03639339892694,46.332400880745716,44.08640763738318,46.98373001759941,47.6026548560813,47.438238850007764,43.45478042403798,43.90120635562936,41.18260978226635,41.57826433831693,39.01818342913883,38.1996827446507,38.982066957375956,38.50134105014704,36.702607725518895,39.29994364162646,38.156748443493846,41.506689312263624,42.979478903917304,45.586118179692065,42.509253587103125,40.081506858872416,44.156702303348176,43.84164712423762,37.988102145917956,40.99176212165013,46.42165200275897,42.35523040329028,40.70948712511435,44.26963657285403,45.48886943125382,41.306290381920725,41.891678094886196,39.2293381326639,43.859358592154976,37.32360507976924,40.11185138468291,44.00927271683678,45.446059206265126,49.336927721190975,49.224503578340745,51.971220402109886,50.31772500338339,52.75796303427049,51.826299636947276,52.709714792770704,50.127122209824336,45.806952008634056,48.04407732140837,47.313508328798655,43.095752021503756,42.50497256078812,43.85098817023984,40.29192960030305,37.530691658528966,38.041051384951764,39.0688596758987,44.291863007803,46.8824088161036,48.688106181310374,52.41696410181017,56.30695165532283,55.43452561894528,50.579228562529515,53.288677858696666,56.24321288070643,52.274058361786935,50.04763136472583,53.964708129345894,53.80832015282559,49.73767156416132,52.54194857160508,54.908467190630056,52.08229235417308,50.330084866284636,52.976996318247046,50.02185915199754,51.91404997144348,50.7622117665203,51.622070841724344,49.9301141855781,45.59010963460491,46.70697562054969,45.78243474714379,43.23896300673219,40.99237473279329,43.47799943054677,40.744399005571246,37.09383415884788,37.61031529797673,39.30732332094515,36.27532389951462,33.56318578076823,31.86403216552354,29.956052943762707,28.017137310221816,32.68078104975596,31.4917275065972,34.840002579254524,35.97748813720941,31.44363615377608,30.555078793143636,28.394765923002772,29.585133917543434,34.17175893244057,35.16307055236107,37.853334039337994,37.80143088209899,40.27206149717479,45.374980669498655,47.74857498037821,50.13892585652171,45.34889519884418,45.64889727647012,49.935219844894526,47.857396325690424,44.535770619253874,47.91409677444685,51.43295879851384,52.268552148748874,54.22997436058327,56.01292500035302],[43.051985825669846,40.7669359202484,39.822752420762875,36.201037976769136,36.813954523586546,41.836460543024884,42.26978017417583,46.756707735907604,46.88316955923473,45.74298632335412,48.94192432523002,52.43549262572413,48.979700752564526,46.9415687129445,51.653677572886416,52.285275376988196,48.05239376529545,50.38886153400903,48.54165428676867,50.811870870217774,51.53093460113561,53.56613512913211,52.45378677240764,49.21264754666695,48.39609251522539,46.52035366483274,46.52133762848789,45.542858189180244,49.43655898264817,51.880227359228954,56.14759522487359,56.89726446206481,61.20817565579267,62.88882898048025,59.44162317858003,55.77340491353729,55.460191250044225,51.745864615106946,49.20589177025391,52.47453936801773,47.638477944568365,50.656755119302176,53.90922755315204,50.81354581535525,50.495030459802656,47.77903040019871,50.992062999475436,52.59296949455623,48.24824570665968,50.43297688646149,54.57946494533674,55.07862972293031,58.04180496428708,54.65670833464861,61.10423906615925,61.51126653252064,57.886873157938396,60.26711071141438,64.2596466158638,61.450943858346506,59.055799992439,62.706159319794025,62.9640709040084,62.466863153894664,58.86359742724193,57.368821962040876,54.98459390656058,54.83427591800054,51.68609666839176,52.53813703584956,50.52055667333147,52.59189488646786,55.54443586903984,56.36351970073971,57.94595513620408,63.5821464573296,61.06898248167302,65.34021094499802,63.09328520814558,62.03007726591637,61.24309526035417,58.43166270569727,58.55348860667076,56.29466729767146,52.28475710986382,53.98343707550147,55.399062453221035,59.10369722836871,57.967056253019564,63.46935760475188,61.285480138615064,64.66864994407071,62.712408779767664,62.26756437657646,58.13313177398426,59.69084996630531,55.81230835526749,58.56729689291599,56.9231000218183,59.851664186411696,58.4907939410885,57.48012465873026,56.55513354050263,54.326622419537934,53.189319375350266,49.6801294364361,51.28382615790491,47.798424083378606,45.54435071030317,48.27906173310206,45.046492377747256,44.27027202047277,43.72402157388344,41.09793541830808,42.688085737845405,39.607761423955374,42.046838146071366,38.70724803574105,43.06491306262771,45.63614702588717,43.05978804728091,42.66842273549762,37.94577969556383,38.363543016865016,39.30022854958647,37.38287656242997,40.22429130497837,39.920466859919614,41.14774056593461,44.294988862904226,40.405917157414194,43.96497579085512,42.178866556414505,46.34948082484805,40.69392855356697,39.47325224540455,34.85413491740731,34.56431293038636,33.343956764213274,36.25272869406794,33.61019943835286,36.827361368086315,39.941811146837914,39.851045738044746,43.0559830950677,45.62168037453976,43.28168991322816,45.866247429328105,46.488144734481054,47.034013480940956,49.31085540277445,51.60287617954295,55.86415441167688,57.86843307824421,58.274546649807114,56.968990659383145,53.780196459705,52.97808017426678,52.08288301892785,49.46357397757677,45.32546986859194,47.80884715709493,42.106020426925134,45.821644725927655,41.846821030865165,36.089800225762644,37.87779332058858,34.831220210408375,33.27816205760302,32.81587659650279,35.84445055923942,37.332563040987964,42.27191880005885,45.951383671776604,49.28003161810366,52.47868235704993,53.060910979799516,57.38272677016439,53.906733283688766,54.26694202812209,49.18482066750748,48.56028517015211,48.48753990247714,47.99457970013318,45.460264544004275,48.07070052212339,48.237773169373014,48.44410656379423,44.17133489379279,45.161312221613656,42.718225458997395,43.06838919815195,40.89672775855017,40.147318702393505,41.16678499487298,40.98979505301264,38.84503833650043,41.59611328611268,40.330577664004515,43.29998497146782,45.05733007085471,47.25941812585317,43.918929544520964,41.81899230487845,45.91884076507664,45.093000943640476,39.21421090113466,42.54219625977333,47.75058926619583,43.191541363221134,41.70373552993118,45.34079906109434,46.11315593986156,41.736591451860406,42.661129873425374,40.2835369200985,45.13554492427949,39.166141652921425,41.953745200040615,45.90157088510283,47.847642563087135,51.68984823110719,51.939918544624,54.596330857794726,52.98152486654713,55.500409842163606,54.3643667385192,55.62501016515405,53.14430961120703,48.4924958628214,50.83472038673177,50.535008817808084,46.20121580561721,45.37811369126586,46.94263234689167,43.70304840987033,40.661695960838735,40.87836898573501,41.57888941277659,46.60383278755748,49.376750722611376,50.971966457750895,54.560401571525006,58.40607302835317,57.24069601871306,52.41632609909897,55.12853016290332,57.81010822283433,53.61782627078499,51.52360482194651,55.271449377232095,54.829049246383185,50.78927775405273,53.891821514220986,55.98810485719277,52.81916120158003,51.432971277981906,54.32618989737492,51.57889491128113,53.73418862841601,52.64057438598989,53.87083900913451,52.06061285710509,47.47474140076352,48.99627240581496,48.26674315088833,45.50083336134448,43.340566020680455,46.33460155196397,43.55575675022599,39.57883090207173,40.43122611257318,42.51853472620075,39.36502859563729,36.376664457020276,34.11790867520936,32.68159935857298,30.149780617609757,34.63965119179619,32.83594299392737,36.233008459800395,36.727188817105336,32.15479790145233,31.707441631315,30.08408813999058,31.381787841453377,36.066337900498155,36.439952664603844,39.36109686911052,38.67103743075009,41.044296187825246,46.2900836835784,48.76768276443629,50.85933994643551,45.83066314230504,46.24058099130586,50.36604203134776,47.91332115784422,44.52997608184842,48.103817938901145,51.38647793719806,51.95470165113067,53.82101095729922,55.62137901430046],[39.831546570817984,37.741713698157106,37.18337053619329,33.48215241937252,34.686867073407235,39.369685303406555,40.0495390235485,44.61278856841211,44.56511717533449,43.67409484300315,46.835062601710085,50.345494373294144,47.24369749989009,45.04567354457982,49.90426728983182,50.729341934086406,46.683462173272616,49.25693424210338,47.71832393000808,50.200714702380054,51.148648293027975,53.496513495168166,52.47730334887995,49.40767204956049,48.43295241948667,46.2100648324586,46.07625951374654,44.73759938564227,48.453105784733225,50.69491472256606,54.817977219411,55.531774277007536,59.781533870878405,61.70630930106437,58.39196240337819,54.853562095532126,54.52224440821717,51.17375781412871,48.82275650592386,52.490354719246874,47.771290160552454,50.53448228920345,54.019624984310276,51.167126256598856,51.04839660364785,48.564012429800734,51.944618862797086,53.29168319782616,48.964324939516615,51.45232561640182,55.38686448373919,55.817597303310194,58.656683832409016,54.99163930061755,61.381679820961764,62.005216832491634,58.26289720733408,60.31347930609299,64.47118867031685,61.91129640208757,59.2103316166453,62.62622111851596,62.61065701014627,62.25616499279328,58.79534230291849,57.06817294858798,54.43325492841006,53.99290399847724,50.70105821791776,51.215054994753615,49.196023225258905,51.206083807206944,54.239424996224315,55.4012693196659,56.89799454579088,62.724857410432506,60.413908585443444,64.60675802894907,62.51781274961435,61.72435924230234,60.82262754804479,58.252788643506776,58.10205817295454,56.11233292781584,52.12507003284432,53.523712793140014,55.00042388607333,58.439742946845044,57.31051258829022,62.596694411839906,60.284327867982654,63.5908429648666,61.41655992162575,60.80722320517827,56.54486286809774,57.90076191469873,53.91179119455104,56.82548829733064,55.08015589603848,57.891765429462865,56.93524204856657,55.90867654242078,55.33604065556703,53.06323948745662,52.36324123656277,48.603140774113655,50.29863084901993,46.931795522403156,44.34681112402957,46.94886494723454,43.44828392191925,42.87366109862448,41.993865203033344,39.63430967905172,41.144191558470176,38.23932294273979,40.885362952555724,37.76348111638719,42.23192349299954,44.47416019017001,41.68959076290948,41.066369158614286,36.35588867412004,36.629167305078866,37.353499384650924,35.81557520626858,38.382890752132,38.516540194256365,39.912172261356496,43.41144031390517,39.64007834226217,43.441269800494446,41.95978199423351,45.945974508595384,40.27424891853666,38.69621110088197,33.98834062921034,33.64833894697785,32.32450775630945,35.48169615119235,33.10428021877719,36.74286264001587,39.52376317779678,39.242870429534015,42.6272608972158,44.82674040332411,42.30930608465801,44.63180868239638,45.15934781766123,45.32552006612102,47.55102678477893,49.535491239806234,53.86477319789837,55.5116640188389,56.0755696037302,55.04545015198722,51.98247500065337,51.34709117969345,50.64847991442799,48.220801493516795,44.4092406199564,47.0400421331783,41.53973914978885,45.52829486438021,41.86081794214719,36.14122288092738,38.1100442311182,35.44841436475924,33.555807875524415,32.73354857794809,35.638786181456936,36.88172265142984,41.965263947711634,45.534573095214455,48.72925408369692,51.74446572383646,52.117247148485895,56.63774434229059,53.4446320445444,53.848368226834516,49.00613277287661,47.97058537311876,48.36918254240336,48.19305494774823,45.590131833345346,48.403136156258476,48.45660253148695,49.10930383466071,44.95611547496039,46.072806859943555,43.68823775148898,43.677825797480125,41.491657298493394,40.46846314125476,41.37737190815678,41.10695212029852,38.50969784283943,41.094706055367276,39.45650062786048,42.18411757937429,43.834897789460626,45.77669660498171,42.35682966487717,40.233741456548756,44.207410827958626,43.1035856868009,37.16663784369412,40.5127183151522,45.55679928134792,40.73302320650193,39.197392463930434,42.78284512496482,43.383632642541144,38.85909975999674,39.80487551192108,37.63906394516094,42.53155373319918,36.96648404026595,39.856420295278305,43.75753697751771,46.07672549760196,49.773734636089166,50.38973616494023,53.08042271263062,51.64573487729523,54.33555268878133,53.227560474570794,54.80326382042602,52.244116908553394,47.45377573375072,50.061294392909296,50.03832057880149,45.54526605558433,44.737975891959465,46.66255568500914,43.48362359709345,40.156136136098205,40.57676418321923,40.742161118767505,45.85345279216167,48.61665758999687,49.83824374763657,53.42670877742923,57.07944372001213,55.89574200660064,51.063822726246464,53.51161019252043,56.092439763647434,51.858630643261414,49.64942581043989,53.183576948675345,52.59230703979822,48.51272581403255,51.65563741199136,53.55647120748958,50.198290205055144,48.91759891066395,51.90095081708198,49.31889490326239,51.72026288333181,50.83206182481645,52.26703091527097,50.207218463180965,45.57699216071433,47.49087175831146,46.73823996183608,43.78384954183701,41.909343342378726,45.200442503804915,42.21977141370473,38.12176433528731,39.431545854294285,41.65117860822663,38.271422044731196,35.143965861883906,32.48765637709168,31.27486885304967,28.28779533355851,32.52460082687952,30.449225758750107,33.996467557038045,34.19283794703279,29.563300337376415,29.51520278164674,28.22547731690283,29.838780268060482,34.53953824155239,34.78266491891869,38.03236529513378,37.08617237766895,39.05904457786724,44.46816516966954,46.817756196340945,48.86692698932608,43.73104157829405,43.90441042578418,47.94159693835377,45.54655192780147,41.890750722359705,45.37667280064983,48.62316381479451,49.129895783349745,51.03255262354535,52.908569422396205],[40.58619586762057,38.786692903882816,38.69483805704551,34.811211388164594,36.59062082722604,40.80021041732382,41.5743596142315,46.17770852283329,45.7783974409069,44.93133247568627,47.93410086404672,51.5664994638254,48.71378157994368,46.19596569511621,51.0847829120616,52.15572623039699,48.205369340999134,50.754786799433425,49.19831837209751,51.968205757871125,52.856282308793105,55.433365457314004,54.286711508290345,51.2664856035238,50.43768057965357,48.021017769688015,48.054846262971715,46.576092791963426,50.227581483587855,52.47800754390311,56.24072993346336,57.19583244158581,61.327097205448425,63.3021703546689,60.172483757836055,56.64641799170167,56.52016947961809,53.27987394506097,51.10514966873692,55.05833484651562,50.21427454863358,52.682170288721174,56.30781611176115,53.576973482657735,53.36815421877649,50.99011355324008,54.42321989262649,55.81338347325106,51.61339161332227,54.296565155922764,58.17068362996497,58.716227578011924,61.458208250561675,57.65625009465757,64.0245770898601,64.59134439387788,60.71127105083077,62.647268407615904,66.82637072540396,64.25711775438654,61.3418592367197,64.56202997726513,64.43813505430438,63.930872492668975,60.627067822822426,58.93350863789825,55.95286493657057,55.476383298742746,51.922916328411354,52.302684570467136,50.13775516530317,51.89772057468064,55.15588052641907,56.48869366349699,58.17871321760451,64.07315874299867,62.05888768277289,66.27000233118335,64.39799311858863,63.813464710054404,63.042698033978375,60.705873840206095,60.56280451003101,58.790464806632606,54.763208280242004,55.90302546799947,57.212284296761645,60.57030044122153,59.20796316586775,64.3580123603603,61.82689399909539,64.92949252894259,62.67344105932511,62.08475099268733,57.79884506594223,58.92155735244662,54.91326185796251,58.156059320590195,56.47416552824032,59.36187781257379,58.67242332408299,57.857161042330866,57.45064862005603,55.34222498718708,54.997738818765065,51.146017901002615,53.00813073988307,49.7807450155771,47.01298706025098,49.44040947877513,45.716593599046334,45.13857194870095,43.899013516066354,41.641491321866525,42.83263610981781,39.96877414925313,42.55446051037402,39.46304040073724,43.68823383366774,45.87805506962466,42.92311138661526,42.32008503988505,37.70372304857722,38.105823640237894,38.87191468409418,37.8115769782956,40.386402923408816,40.858615987579945,42.47832423996151,46.15996259324597,42.58779596569002,46.543723445854376,45.153741391763745,48.97092556604628,43.26377401684333,41.40101135980393,36.79897376292433,36.200335825944585,34.61102693530164,37.787834970126816,35.264315584803605,38.97732763709077,41.573475192922636,41.39192080447057,44.86777696524055,46.90886734698406,44.36257914627901,46.61206836921761,47.24079152137469,47.13358996021072,49.472075746679714,51.118484883440615,55.585400776100414,56.86586399511947,57.444920242899826,56.674649883730766,53.645509523362165,53.280575921469406,52.5753155058343,50.47742290439155,46.81449196516727,49.33047474120293,43.95832483067706,48.08600988825077,44.689988460545244,39.00144315483605,41.236473633810974,38.74712561090879,36.8698543501707,35.764239428995445,38.65763303171554,39.62419788525588,44.760849737421886,48.24705037789276,51.30140395766998,54.26095223870143,54.360186253948775,59.074926574451695,56.0175997629161,56.56709254180448,51.85465246892395,50.728968032857175,51.43591582793607,51.411601739166215,48.704458353831654,51.423254409394794,51.25296861545495,52.13696089899754,47.882888140467784,49.256519976970694,47.00957413473491,46.93183369524562,44.89967873530272,43.85387654574489,44.79811968188698,44.57520980452679,41.77511883768293,44.310297116893125,42.49347799935038,45.015856588023865,46.640461354096075,48.35643810170579,44.86369718984801,42.79343752432504,46.65174339365977,45.28955146197282,39.354873370844906,42.71014093996313,47.56531025741347,42.48992197773515,40.93170925588817,44.43281530511436,44.826052400961096,40.157559574700535,41.11619648520946,39.21664324335291,44.08817280010233,38.93955286492372,41.95768580245132,45.7688781704241,48.372461645743414,51.877550970429176,52.8145552546475,55.58542349429491,54.32217643043221,57.13838247092382,56.06968705828781,57.839208697457956,55.218743332861266,50.38027734436986,53.14899855828213,53.26966255509124,48.7016502540493,47.92269879486386,50.03057244675577,46.87453945223786,43.420030492676005,43.946154378392315,43.82300804487591,48.93289554520823,51.70171419561353,52.68607460968379,56.24549674686451,59.75849704103049,58.529850157746026,53.72065852119317,55.98329209739774,58.44701509155033,54.1675636437701,51.91134159079771,55.238276746304244,54.48688575518804,50.40309512035595,53.59244820094316,55.28007937919187,51.71840007271554,50.57897131651674,53.64070288399415,51.2376377783712,53.86473724871638,53.168187917877205,54.7594361546692,52.48097940702711,47.85736095341505,50.0831991023748,49.283619562241746,46.19687869883216,44.58235207219841,48.03357065806199,44.86871393292895,40.764412581063524,42.39873326724673,44.6201579307604,41.06074149098097,37.91830073610152,35.04115005276218,33.88821351190319,30.630773571039363,34.57572741176377,32.36538711916806,36.050030848934426,35.9359596534399,31.30298791776213,31.66044664127363,30.679136517468205,32.52387273934137,37.19728820590411,37.275990905602185,40.729066477838806,39.49341710982018,41.181890066242616,46.683530572159995,48.9601681107662,50.88707380905015,45.651940193740366,45.689694234805245,49.58595888952375,47.130841462438866,43.28898485403365,46.726033565270924,49.84898160168012,50.20505990838026,52.08178414007179,53.98765558012831],[37.03975075168126,35.40839241222144,35.63574176417163,31.451095370472025,33.69372494379913,37.372510139648405,38.17036573604606,42.77911316420561,42.06252298546253,41.28761451725719,44.16138303804282,47.85270133641705,45.28133501563014,42.5401119876412,47.47450452912309,48.75010784065169,44.974164142859536,47.632287422414166,46.30134653682948,49.30014962050631,50.33970842113473,53.22172950825157,52.133624094473596,49.312937342442744,48.38893977000433,45.645149995937714,45.63317904099209,43.854932123505996,47.3249928249161,49.44711865637255,52.92534172177397,53.976699401651274,57.990804997254074,60.1075919503516,57.16091439195734,53.740512058174,53.71551718068375,50.77823551882753,48.843970986566575,53.20014656071707,48.420258705601775,50.52890010258569,54.366230424227815,51.913727710116056,51.85110633987422,49.75501017252938,53.33357087004788,54.48233341214105,50.401197752802325,53.42541512758654,57.038915928592644,57.58706544451547,60.142120357156585,56.06767219053141,62.333463945811694,63.039692075107425,59.02412299389769,60.62800068230972,64.92011428917458,62.575140532013776,59.33701999624578,62.27341294043569,61.89409714054713,61.46275962498083,58.344142439693,56.4807476557269,53.219823633080004,52.51178898103885,48.80637775301959,48.90168727998184,46.71615796564513,48.36943050882788,51.70496767091439,53.3257993313424,54.983850985872124,61.00298107313659,59.23838250944054,63.374573811732326,61.70864895184961,61.41043410150758,60.63015372017788,58.60247507191073,58.30092678681869,56.855602891488964,52.841525495299756,53.612314788852274,54.849792340307395,57.97170566198316,56.50313348364179,61.419128540908424,58.72864100464757,61.69249818613193,59.278003485471835,58.60227585345301,54.26005693504962,55.17815746300254,51.13003490238102,54.58311741397045,52.912155672422806,55.817035809859426,55.42084123083343,54.787032854290665,54.606589700373554,52.66377658310119,52.79827762691337,48.83004265590496,50.93212323409251,47.94963808139946,44.95949331530563,47.09657267431612,43.11130868148244,42.50152714240081,40.856510008371835,38.76003958862228,39.66567154818706,36.94104221149409,39.57460906609831,36.6809836520504,40.83985842795845,42.74740939297477,39.62511562513777,38.89518184964482,34.386530252049376,34.78194258299215,35.498750750289375,34.94158564439829,37.495868391422604,38.355660899428194,40.27407039223774,44.17611520839246,40.96776036675357,45.162449046205566,43.93142038980259,47.41510296811549,41.703156963597955,39.41135856764857,35.004949671357835,34.07302570323206,32.225451996803265,35.480573416167225,33.08290057487531,37.07503624114119,39.287781269336264,39.02482724278299,42.6232910574378,44.317605808802746,41.68339677296861,43.73538729610244,44.40723063584985,43.97523918535591,46.409939899301854,47.70668714806229,52.297426253666096,53.25156351173333,53.81315763174649,53.28022150994177,50.306512923930704,50.21261359303021,49.5412160594082,47.80699185072607,44.40750654827219,46.86599214432414,41.752814568227244,46.089635366931695,43.127236439933604,37.57207639173494,40.1236745339632,38.08256124227361,36.07302748337802,34.48093185921653,37.25829441435726,37.809388934825904,42.99401280197543,46.31250782422116,49.149894697440914,51.96098570811955,51.739555667654784,56.66529505905637,53.87089922243003,54.568805921364216,50.12824001103957,48.75873769388818,49.9836220598921,50.27671850215614,47.43556438574417,50.14529119404788,49.72353455911271,51.08941363370969,46.91514659007216,48.55175340155824,46.49440334584029,46.10784027942381,44.26645339004036,43.08076688170053,44.05364634260774,43.9521308317357,40.75976067058978,43.25244719056971,41.242211115112816,43.342243274915624,45.11110503976932,46.40816911721364,42.770234378383776,40.99771544346841,44.76877735921878,42.97007059678297,37.16016466205973,40.71693632018417,45.257857270641914,39.857903928334096,38.49583800798688,42.00326400947429,41.98142379049834,37.27056943426655,38.567850730646974,36.95122385095301,41.947638630491845,37.47801161493288,40.32662143522119,44.12507521522937,47.17772392190711,50.644478738922714,51.87349275472001,54.43736454733578,53.20330372769016,56.052333619356176,54.79246417851631,56.94653534613557,54.46500061616257,49.348809604392116,52.21533685079014,52.80398862977872,48.16983584827942,47.18699561913938,49.55136219137074,46.76733499530428,43.05678325399969,43.37153506761661,42.813548336935106,47.68721098611592,50.54270250440939,51.234502700855145,54.62592537377639,58.00705516207229,56.56017435749138,51.84044448319868,54.01496503488796,56.20503069359727,51.80505460662594,49.66581445278332,52.780583322115746,51.79397937240381,47.79664111775848,51.20145033303863,52.63180505512375,48.835313428055514,48.045132203942565,51.29064529737545,49.10661782168741,51.91435771697581,51.265678065480955,53.19734926914716,50.87029414601335,46.06912447764271,48.639853336784,48.07929502871402,44.83937601329642,43.31945108322175,47.237221152112255,44.14864905768556,39.76985764811283,41.693673675693034,44.31471320626011,40.76538689987422,37.38463517680275,34.01837076354242,33.49596199653802,29.78305339642598,33.42817886136437,30.60885732426864,34.13400093888382,33.419786024952465,28.94287697575481,29.68243319867548,29.27224609082113,31.137847993774102,35.713691157053006,35.2633329629612,38.885921549950645,37.1643841655581,38.599176108917746,44.12798364005686,46.39841268701002,48.07641339355655,42.744180027599995,42.798952135204566,46.49806093537206,43.849002872199115,39.97064711703795,43.476937873834366,46.38186401822633,46.55545371334078,48.36277169890893,50.28282482444418],[39.02066622045937,37.651197618567295,38.212708086854995,34.472887601360796,37.10088365060654,40.75780096672954,41.94381572611841,46.56052331089388,45.95827033862156,45.52102509274086,48.418665502227725,52.00918411672329,49.70431198644877,47.015321644988546,52.02561153066965,53.34156797378471,49.69301878323166,52.49441194085917,51.31146745792539,54.29697359578309,55.41363775452881,58.297605171534514,57.24182899468478,54.41760720426615,53.461113448225106,50.718028404017005,50.617134890162994,48.76345848248683,52.15551354756283,54.126646633080064,57.66660787925386,58.55905364282125,62.57043258527188,64.84012105990075,61.901505116288014,58.57031492211818,58.41092642927529,55.63415401052745,53.68356928514294,57.99158444124425,53.33127741164183,55.52659127795781,59.3500738817071,56.87710806850239,56.8540210817094,54.70120992470336,58.247991047904925,59.409228503260145,55.25692111830095,58.16368392847449,61.83052616839266,62.29237956046616,64.91275505573422,60.88179247013204,67.14781101200072,67.93513492563676,63.97500192849882,65.57150310325746,69.8891628763819,67.58064649573892,64.38728547726437,67.34173695404547,66.92906254744338,66.55942033059328,63.440677179379875,61.52690408917977,58.28216075032004,57.4922169259395,53.78909452482181,53.7574728838463,51.59838186532283,53.216576115755615,56.57192390651378,58.30920275491391,59.910963318197865,65.97606178127693,64.23130023786983,68.32010721321458,66.64755249220354,66.36400748808347,65.46512689087051,63.39466111603828,62.93560614609189,61.44666521585179,57.49470131224389,58.32708795628391,59.71302792721286,62.740272657199924,61.411479018323895,66.26360457264316,63.59856134215302,66.56998769274522,64.06474240721506,63.276155713935786,58.868436546442375,59.69841207765372,55.5875889497549,59.01333260837733,57.20251543432244,59.86404766013986,59.747223313058846,58.86564394685886,58.93818825216545,56.73593203882565,56.87934798194872,52.75606270945393,54.61662040814306,51.52125589018563,48.393407990424315,50.68817546207417,46.72823053469835,46.50488358264447,44.90855339030546,43.07360299411974,44.17964101490113,41.60808945225211,44.39694933856558,41.62221801640073,45.87216024880578,47.65059764948877,44.48837945149486,43.61131970552831,39.122011466052875,39.32212299257163,39.76009955103318,39.19616675951882,41.26343934750642,42.27595862039547,43.98919336260724,48.02714801215577,44.549998563477274,48.65732670086576,47.67398165274003,51.30355827741887,45.697278803010384,43.54794039133826,38.87429116030869,38.357671373435245,36.75794390051822,40.14600738740482,37.990465671448874,42.0453209367636,44.263002464816374,43.87746066071695,47.483320688707906,49.092513374554756,46.37873249481875,48.26409812259886,48.73212129184446,48.13917830284828,50.31648397197634,51.53542891860132,55.996445097800226,56.74804560807554,57.5999244412788,57.23342544521171,54.43913754659996,54.26546689748314,53.86740112658094,51.98381919514255,48.787938679353395,51.47962316822954,46.412747278442524,50.762372603978164,47.6896759533375,42.1250513143994,44.42144778248845,42.2911749868952,40.08698455486449,38.75219568529648,41.44304218835541,42.211287931151695,47.405563386766815,50.733852420993244,53.625457313627976,56.330007988365416,56.23031285155386,61.098820251966735,58.39523265970514,58.945426315075544,54.533915304848755,52.93875875073896,54.0921311335708,54.37101057492291,51.67239580902371,54.624200545398445,54.39732580043766,55.66314522838388,51.59155284323704,53.003338997872106,50.77701067666997,50.38335971184878,48.27302690381808,46.94435936684139,47.699463136191405,47.280617410540835,44.09807374923428,46.333056458951326,44.080318145997914,46.37517483534813,47.68939231970188,49.156026821574095,45.69799896492535,43.472572069329566,47.038561327726605,45.46018971327385,39.53304581502176,42.67605075877679,47.26605253943481,42.00757356850876,40.277812571020796,43.54844702177817,43.833179168093956,39.01115591117898,39.75357097618268,38.20642405689293,42.899731324198136,38.31348598828568,41.55867740171939,45.154143764826784,48.1014547518204,51.252861279080975,52.68270634975264,55.623174527657646,54.70461690665832,57.75878418155283,56.89469735103237,58.926671594522006,56.12066578544137,51.334553482605585,54.43935857277325,54.711250363362595,50.022014849917824,49.42983895683203,51.91360386523418,48.677023448908265,45.01743647321818,46.00769547538068,45.28173367673906,50.55300840447596,53.192271141546755,53.69835795902576,57.29342249995547,60.48261028928798,59.38005340230831,54.59205159723181,56.385539454599645,58.78667915101502,54.58360693674619,52.09060529290387,55.07119368365335,54.18771484759899,50.05902638344917,53.122801847747915,54.54739485505568,50.81112545409621,49.69325593860387,52.75207178375159,50.592968341010234,53.5356295370463,53.22469181240971,54.94062984490599,52.2594614992784,47.79008953955593,50.474285858512204,49.47962751748076,46.22329542245656,45.1352051179756,48.70619718294884,45.1907111379329,41.20550351337932,43.41305233360694,45.50434709944508,41.644197338831184,38.5537809371509,35.42914387235428,34.28104160699474,30.699094074740113,34.10042589128758,31.898942201802956,35.81782455062412,35.48439213733105,30.877087562316223,31.793758199841818,31.150981619658065,33.45517862063853,37.99520545026329,38.1519531126821,41.954081425547756,40.5785088366131,41.62884211532585,47.25737010930654,49.248787331800195,51.19175054190114,45.92610359489861,45.507330240388754,49.24235324672977,47.04767492446856,42.79254168350117,45.92647126353167,49.02001619339291,49.32128860400158,51.26749864706868,53.2466587444924],[39.24536740853661,37.57203046393507,37.65589435763906,34.26846161712741,36.33559200924009,40.62663308198754,41.82994199175505,46.43646308864291,46.304427812047614,45.89807240315833,49.01725910435431,52.458271974942754,49.89439758938659,47.58655120413314,52.60779835077357,53.640051570115865,49.874447021053385,52.73620148407088,51.5652530237867,54.218930356077244,55.396246416543455,57.99531128789552,57.06696306141952,54.14535137695362,53.044434883276445,50.5501166276112,50.25773907890425,48.5722273338931,52.05512415093258,54.004756482828924,58.01323559082698,58.58884443191846,62.76421913428355,65.00333144567429,61.8255841713981,58.476133543590805,58.04113322198695,55.135342903219296,52.9475621125822,56.884585840357886,52.37086519590746,54.96444715764519,58.60927478799391,55.95161012791924,56.00993078102526,53.68023099215633,57.14316956320586,58.30306888446763,53.97223672927571,56.59207937891548,60.38213126849574,60.69921850055383,63.47157900463357,59.64116448445068,65.95273512569706,66.79994096603428,63.01939329202045,64.79545604269026,69.08598273217407,66.75220078176658,63.850117502359126,67.07421048312428,66.81354504658103,66.60759576009187,63.280007220976294,61.3437415467546,58.50857465501577,57.77463568410498,54.3600713922115,54.49019811362437,52.48453748629076,54.38812130565968,57.51168301934325,59.050046725452155,60.44633989191812,66.44854721695552,64.3418302852872,68.42438562014661,66.47525637102167,65.9217279370075,64.84877772961696,62.45996364360727,61.9721595817749,60.18139977683014,56.28072964261888,57.46854046430151,59.091334006486726,62.225508013821184,61.200659051563655,66.23687050536009,63.83482158835484,67.06239179671307,64.64283123276607,63.8151301778312,59.40762073701901,60.508545745498125,56.388664605677235,59.4267480894245,57.4982987573494,60.01566069878274,59.63414185836282,58.41326362239622,58.343127307691965,55.84710973525999,55.529384392959145,51.46223136522025,53.03078239631382,49.697210461544245,46.7444951680591,49.33816621899126,45.65255716482689,45.56231847340865,44.425115335263,42.52353049093841,44.08255651957208,41.47045544487131,44.3776387414674,41.55345501239022,46.11913490415882,47.97792364612301,44.991941391684506,44.07102939122286,39.43032746922272,39.44456505764506,39.77127647421421,38.61114695023732,40.536689712111716,41.18127460132547,42.548876287191,46.41984893786971,42.57347469838162,46.46003533210927,45.444418872089265,49.358420004613926,43.8174002010552,42.071174594395636,37.14841724355206,37.08643906803984,35.86735592818785,39.286393079202156,37.324109446909304,41.30183637756283,43.77838475076198,43.265745973578085,46.77593882211543,48.58615528045714,45.88148462281178,47.83629145498266,48.12984122093599,47.83243911774623,49.80401403282482,51.435682115115725,55.70656170239452,56.86589903726291,57.7937045026533,57.14416060989535,54.34360237570707,53.80327504783889,53.48739741582914,51.134263094154555,47.78856906860861,50.69444270952377,45.446498595052674,49.63661240219864,46.17278382676103,40.54493452596218,42.44165835239977,40.04455215815404,37.770515258493255,36.876911453876374,39.56859375372458,40.75509260514527,45.90526569490872,49.356369622215844,52.45437421859019,55.21493814012554,55.498317672158215,60.11863600518952,57.24805912745125,57.57339800264053,52.98186313667964,51.44349542964567,52.16676599911683,52.232478267835106,49.7117657017656,52.84673014648937,52.95586447971067,53.87578148933269,49.920422338234246,50.955943456344514,48.50793425569424,48.22171954628135,45.833706301174615,44.49671485754434,45.12984365206037,44.52545900626541,41.61062782240153,43.81188924278546,41.68240156472089,44.34073327938394,45.50241938429254,47.350769485943545,44.043350545472094,41.541842802646045,45.195031848619074,44.0459500296255,38.017078576085076,40.99326224052797,45.896360649662945,40.99299083464649,39.117766256819344,42.42886180434523,43.13177534928753,38.40965467722556,38.900494240839905,36.99919881794227,41.62877295831544,36.35482993515867,39.655276856579604,43.30803893858936,45.82932836072372,49.10814668832673,50.19531178049409,53.23093702347927,52.2271096670851,55.218306533760845,54.48428524657789,56.197828773059676,53.308043888517666,48.72960773690786,51.739769759271496,51.6597849562547,47.02795665239737,46.584536239914996,48.88099233785696,45.38004392954683,41.90871008227632,43.079776934352324,42.66517847826293,48.13615247647727,50.68428894723429,51.432169785052665,55.169597900883176,58.47797938788947,57.5785087680492,52.71235251753315,54.59988919633704,57.259916218026234,53.17991965825877,50.589475755921264,53.80729418810648,53.177243138083234,48.975279918689395,51.84880260236281,53.567457324379596,50.1098475865683,48.6521478783845,51.540720333780335,49.133420218399834,51.845342391789245,51.42514452251463,52.836218049966774,50.274334306142066,45.9249095006515,48.2519109222113,47.10625059952297,44.00363540226435,42.761630967589234,45.96260476723467,42.46225596316948,38.656488099037084,40.579404778165106,42.409937911145825,38.600598429890276,35.66012052434162,32.92812268671724,31.357026463252787,28.160153886990074,31.88975564024312,30.151888965151205,34.128594326565306,34.377928873161224,29.647565247565115,30.122303706095558,28.95766462059708,31.200532258470176,35.80442176218713,36.44296891299612,40.08539967519316,39.207825285719366,40.48693717115605,46.07467025898845,48.06582042713937,50.27984835627405,45.13732941099221,44.71175276886055,48.67399665525783,46.7089571777986,42.52390898410404,45.607964919924406,48.95888017485601,49.50814935290747,51.54907176319486,53.52984924274262],[33.30572977986304,31.492415818702728,31.479978749035425,27.93846621386643,30.053464475512065,34.261079802310995,35.48717079630604,40.09373449489523,40.00514814871965,39.72560239973142,42.89656694965827,46.25060141746348,43.80858923518975,41.60951063439374,46.68871522424845,47.70031646246296,44.07626838519374,47.160783862249346,46.35821874601172,48.97058877855283,50.448309366085454,53.19043235187451,52.50249678033034,49.79301681494806,48.380064788169676,45.66788684646939,45.085328155891446,43.13196579629195,46.42814620457766,48.1560891198704,52.246512177058754,52.617678582673165,56.78967467000896,59.19570750148221,56.03793783807715,52.832678022793374,52.25416695905822,49.669910417877276,47.59625138659035,51.75207047979733,47.498131744746715,49.96751783847363,53.73452238603045,51.31532556482074,51.696435128124214,49.62146068059953,53.21591719031783,53.98774630361094,49.65316328163081,52.503710393693154,56.01579746647954,56.18264944914943,58.829454091128845,54.78313681706971,60.98177420599566,62.0992492369365,58.30155607396224,59.753939260599566,64.18385287460217,62.17452848694895,59.09051013898255,62.16427662169102,61.677755191173745,61.77371523288219,58.50680789624965,56.28667614146314,53.493332756588146,52.468221549699116,49.16963804504954,49.051751739803365,47.21075192992314,49.27897389590041,52.223473887933324,53.961560088311906,55.066380844516495,61.15942510733585,59.03813191506943,62.98894510249673,61.05574063026623,60.64565646186335,59.3774501788759,57.127612254309916,56.37873360530098,54.775075850320555,50.94230022264051,51.937077975862174,53.69725293905762,56.58767685717943,55.72723815511325,60.60056503900571,58.252005285986435,61.544490242435415,58.992705709782456,57.99670748638421,53.52134101378877,54.62251989786286,50.45201491223774,53.357295698089374,51.32686410167271,53.73092313694682,53.47470708441633,52.18583553158045,52.27903086461201,49.74661480284787,49.67273435437474,45.496250848745625,47.16479314328286,43.97108548795122,40.86551357612677,43.30969007060432,39.498572664680225,39.45876190998717,38.19886272988521,36.45389470621866,38.08486157411012,35.64493342288029,38.75492818497889,36.201034302779625,41.014711808942295,42.51458005959483,39.5009032106206,38.33270846810623,33.70836561651771,33.479953551823854,33.597598285529635,32.51987995982543,34.288343050172195,35.11558531872527,36.599579550067446,40.633376856952246,36.98706277895433,41.051186403794,40.21035983977392,43.888549294468696,38.37833686037081,36.37139601090917,31.489621383970288,31.376259990835642,30.180304551862974,33.7531201151524,32.23034187940311,36.53959484481305,38.70122376365307,37.912617123778574,41.492816057061766,42.98917124719723,40.16567275654247,41.89712720249652,42.07287654961922,41.618883284717064,43.534832762460404,45.099520534509146,49.372142130034,50.50975517681267,51.45477387723115,50.834297102985346,48.091767065375315,47.569075807895786,47.36925019646202,45.071845251537724,41.948775103910314,44.98592095583159,39.94385942037224,44.278225063647504,41.07895377899445,35.58966318366181,37.571772007820606,35.61067784942682,33.06283889093079,31.839791279239925,34.358860829202506,35.3322557100949,40.51373584359863,43.8368922454191,46.81801444550196,49.421108223709545,49.61397821344943,54.298636000883796,51.64276221146119,51.973947081117274,47.605010071980836,45.76886778244364,46.85761893416888,47.200761588797285,44.63252711096409,47.92717679858446,47.98331557823459,49.29708139300561,45.58738149788831,46.66036355661099,44.296580403987825,43.629900792639326,41.28113655852089,39.72717301213561,40.31466409498255,39.7653655361354,36.48226565895297,38.641349839062244,36.36741863830458,38.71103163098097,40.04417694836542,41.601022562872785,38.169597122626385,35.92318598113346,39.60174113427738,38.15847672201332,32.195233061377955,35.435205511240355,40.19349106762473,35.090919517239875,33.43663301979334,36.88533939687948,37.3140147526069,32.62497249193107,33.513763158013006,31.651694171298388,36.53636984275528,31.631790175035174,34.62722795842644,38.403590645006965,41.25489413585924,44.71910156992678,45.864647127892965,48.56901992963654,47.433207338000884,50.37070412582391,49.35797813795371,51.39558441014278,48.719661118201714,43.801610147462526,46.82447996490726,47.2150218311422,42.53420827458929,41.808570071978444,44.30786642844707,41.24235787581487,37.510686478578926,38.36045262166152,37.60009144417872,42.8404816837195,45.493619713286115,46.0717409462187,49.660744207094595,52.93997976386101,51.829467117273786,47.0182697819184,48.95921997878128,51.42277311743105,47.226709355893924,44.77925160615164,47.95860942576392,47.20389830369261,43.06757492519402,46.16932781749594,47.80445934583248,44.243476917991046,43.04215535060137,46.10237374049063,43.76307063642257,46.50063901541827,45.95551578634761,47.65398289073544,45.21881135442099,40.598513969524056,43.09069089410477,42.284968475058534,39.07840540882496,37.704470913466345,41.39684747267379,38.13963413331135,33.926589525888446,35.962983716253845,38.34748600314716,34.6817992737756,31.393610442044864,28.160160780769303,27.388926475970347,23.744908973865485,27.436822661473734,24.964117846267083,28.689488039746553,28.517442927397596,23.86878148406644,24.446295835709698,23.69413009615966,25.831480775320696,30.407757011821122,30.59084613173497,34.32928528537073,33.15984124958052,34.352932509786285,39.9563365049488,41.998052448026186,44.07855764799358,38.88632849190095,38.55739018367911,42.47456127581364,40.3809269893448,36.255288695043305,39.47065855690449,42.75137043160212,43.263251368373275,45.282367076664976,47.26114286436856],[33.559446925660374,32.192115915990826,32.84457711869409,29.220243147585133,32.11133179393616,35.64597380157156,37.07033353976224,41.673987687726616,41.19977101463463,41.08752273815714,44.060391228223914,47.49069105186909,45.45151755427066,42.93042750181963,48.04237764183642,49.33832030016457,45.90666899969765,49.023576837959844,48.313930452814986,51.21963017287407,52.70076127908159,55.70834131902913,54.93859221909082,52.330528251883216,51.01445779281079,48.067062855574726,47.597973008092,45.438575125111164,48.58908611355641,50.23832492005326,53.929075233678795,54.49158199742977,58.50641435906634,61.033606489997545,58.102619244803115,54.976560223910965,54.570877162145464,52.216559341068894,50.36435228432613,54.83559138514579,50.53650038511034,52.673296157775695,56.59729843004701,54.35525071797994,54.701130175060136,52.77391620548081,56.43611489096786,57.19036404922613,52.98557548500965,56.04500010821238,59.44733053446882,59.69428519462394,62.21523307707034,58.01035734170866,64.14389836558635,65.266969241582,61.345880407823586,62.60695071700461,67.0771323998109,65.13422358041633,61.80377284697266,64.6324984560107,63.97593368643562,63.980793753192536,60.90616682866952,58.66201822307438,55.51079983858137,54.371378763267785,50.8217315704497,50.468214090831474,48.511129622603455,50.316797674640604,53.47153904079758,55.46895245951303,56.70594353307836,62.88735740031002,61.10087706793187,65.02047853962664,63.334471138953276,63.18697115440058,62.000979974083805,60.029602220228504,59.20803099930944,57.87196921699819,54.042089603736734,54.73058262678059,56.3564211844421,59.07604536171634,58.02665563307843,62.68243009509031,60.11538665804837,63.18468573196923,60.49610534333411,59.46130575639215,54.94592092412904,55.75018402674489,51.548251320127854,54.78573709757224,52.78192825253946,55.1745779912599,55.32561597724706,54.213382317002186,54.588333086668754,52.19226780532088,52.56688178198526,48.26723950835704,50.07405302039235,47.064183418667206,43.72990000494788,45.9570715568103,41.91397251438506,41.96479197402541,40.29066455613278,38.77092524468847,40.070791808316535,37.77155557237447,40.852725720294345,38.42848103748926,42.99941335174526,44.33121473059994,41.129841613000174,39.90971816111478,35.44819189197824,35.283833636606204,35.346257676521056,34.861607162701056,36.48088765680753,37.753282564016835,39.45052538818395,43.69537831951784,40.288664060635995,44.48541863958111,43.82270036371981,47.28073985335653,41.807187352306926,39.500902426752404,34.762885392470714,34.42935228782769,33.00308251681549,36.59620491240957,35.035401012392846,39.44692973977685,41.34769927686202,40.605450207855036,44.27288049864105,45.511353567090566,42.64076099591017,44.19804581475238,44.42141266703233,43.590052831726865,45.548408155322015,46.66889499426279,51.036965430333964,51.677717910303265,52.714647220404096,52.45183634207878,49.82418858679603,49.60407560573337,49.48545338196582,47.55914979223531,44.71471622268227,47.6705558631625,42.8524572038808,47.33233290422968,44.46051942979728,39.06588571840971,41.27817289367371,39.540417801188596,36.97499732766216,35.47860882803127,37.92516876883827,38.60142693157612,43.79679078924063,46.98697401177918,49.78484640245913,52.25842302858255,52.155583302404736,57.02577058269964,54.59600083369026,55.0530475646274,50.89663059686515,48.88074678810413,50.339789893400074,50.880900170722846,48.23885537176456,51.48276916049959,51.332735122959846,52.92300404735836,49.1789056828379,50.47234521986446,48.23486676827611,47.459713069299944,45.240344206014804,43.624598006158884,44.20177702240286,43.658010451481296,40.15186116380998,42.17820571008351,39.668876207960075,41.744750797858266,42.96039914654574,44.22898150057122,40.77515419331561,38.56444660483254,42.0129519456376,40.28260078845462,34.401969629005315,37.54599030166601,41.99478490720198,36.65122016171129,34.94588345951535,38.20455011764796,38.391676126129944,33.561204701156214,34.39194335677502,32.92583332790633,37.68065980493407,33.41366607470829,36.55435302246235,40.13972400063412,43.33117534562916,46.48250769311924,48.062161004336446,50.86659851345806,49.98806071481112,53.08179723682188,52.16609918005847,54.432951019986724,51.67249127780928,46.76415300347946,49.9919666649673,50.546202684304774,45.80618160311182,45.15975925071796,47.88834189846121,44.84665094368229,40.9955378799917,42.04112153234485,40.8943800491916,46.121236124434866,48.72360336262471,48.961482993616634,52.50522034381617,55.54929882419556,54.43786090819201,49.687818592076276,51.316437592303785,53.63768422081493,49.44951782007781,46.912661527165966,49.77631931388094,48.83821032521066,44.716390069462214,47.803324558500954,49.149246139660136,45.36623249268694,44.316680373812744,47.430065531763084,45.34970885415461,48.3701870635639,48.11649768771298,49.98204289803692,47.251349111402035,42.72086942030943,45.60672569087757,44.71199896461619,41.36829609168413,40.39434937404885,44.224071231640394,40.73855302499896,36.60648869303838,39.06112545973407,41.38008622708682,37.519445073500435,34.28070960934926,30.840781277459463,30.132752488803835,26.2386378400234,29.40882461728899,26.858747168506348,30.71024317692413,30.169318756668073,25.622939088472194,26.75245471914037,26.409990885332753,28.830894189586108,33.25481020763559,33.300612617669614,37.2590960501436,35.80158697108861,36.54000793657026,42.19943323043737,44.073436821357284,46.02714124315276,40.77922977305774,40.19347085588811,43.89254140201476,41.83651134360214,37.4497944694215,40.49519594542395,43.62327382750442,43.97579063012863,45.97874727674284,48.00267919656806],[35.92736446478802,34.642323573047626,35.30532289872015,32.361461993120535,35.20425652877913,39.06138066137235,40.81194595916259,45.37724235270571,45.27731908533895,45.45487660657049,48.55455888792812,51.80219797174377,49.83641695095879,47.581356176400895,52.73559767013157,53.898912118309184,50.50579267045201,53.74816556673223,53.13823347372078,55.848230636982386,57.40484994351059,60.24678357903659,59.56067257307959,56.883071375135934,55.480393270041716,52.68533284223376,52.06012353649587,49.956588901061075,53.09988962006182,54.622773894856266,58.61570261388908,58.87612190598742,62.971567403055936,65.59625999108358,62.54083361358158,59.47733763490005,58.81269880922231,56.50678872842789,54.50641959483309,58.7122384771287,54.58726982895173,57.01714829563041,60.82170407472762,58.45204206733977,58.85779636601737,56.77482063546572,60.361300379631714,61.14373078963776,56.78347670918516,59.58063564738249,63.100261499197934,63.200354517263506,65.86050961361128,61.81601361962832,67.97138825137182,69.18598956128766,65.41493459043426,66.78094495976666,71.24828162414897,69.3106850477861,66.18686358504885,69.18582462910666,68.59676461308963,68.73047234311875,65.53701516005641,63.25382414519124,60.343039503891525,59.18774164217231,55.79775232936665,55.451802028538175,53.5926308735736,55.51628817344948,58.566207696540545,60.53075392501034,61.623193540698814,67.79668830114811,65.82407390095433,69.70381918169588,67.85745062149824,67.56436139286892,66.19102887263516,64.00222448070795,63.04203865478999,61.495420139230376,57.75382221813119,58.69997523817778,60.57320017759666,63.28021854775296,62.51237555060736,67.21991793306671,64.82389815138083,68.03689733875282,65.33231795658565,64.19299235867334,59.63768612050989,60.52216114411535,56.27857487369368,59.267237618155015,57.09056760313248,59.188064477731686,59.41791964188477,57.903667889770425,58.406102430487245,55.62818690931261,55.73552548741727,51.35590691634628,52.76928339931734,49.53302467235838,46.20098524095581,48.73355813393232,44.90446274709755,45.365142188367514,44.01706701804078,42.676974870781066,44.386482467694606,42.184422540872035,45.42485444330973,43.04890978860895,47.83591896387165,49.13917244269487,46.015020409044666,44.68188998441856,40.167156125337236,39.77112998616989,39.5663838721023,38.72970057296115,39.85622077104426,41.024083295571785,42.326296783340055,46.55814171659765,42.72038668301508,46.67971674684317,46.219351457715455,49.95380765143451,44.63848220811926,42.70628482048274,37.634728502901076,37.90840157515795,36.901468838416044,40.58497713157728,39.287769410949714,43.66979584100007,45.736597779214506,44.850986231700226,48.45712525842899,49.75618040236148,46.843734691585176,48.31273757447691,48.27273008937856,47.49035317146212,49.10100809029509,50.3922737546196,54.51102608102674,55.21258059919081,56.5417295768369,56.25667282879613,53.78867280110404,53.287769250726775,53.44469408304225,51.127637776640576,48.37349044798417,51.62610069806373,46.74950756890131,51.128590334616945,47.943378549235064,42.52051437057921,44.29132631385381,42.3255782326345,39.58424546458756,38.565943428890414,40.93497038392285,42.02963688278342,47.18194819019174,50.44217128042225,53.39649718111672,55.808899610606986,56.031717771630056,60.692517410140916,58.245949991223895,58.44853611321898,54.22083044663736,52.061804422887036,53.198108159044686,53.59802960258741,51.189917112942496,54.72516062456214,54.926967170685096,56.22357571256376,52.62675021984227,53.52401186451636,51.02690872363146,50.3178736745171,47.725306000749605,45.99523237322991,46.31119055783336,45.38182126083199,42.06499161010739,43.82252049030756,41.18000554832142,43.635331796378985,44.323258789909744,45.970942304270984,42.803379092932715,40.01854375359833,43.291053244261676,42.04770438715276,36.05500587514675,38.65811130638214,43.30630021773721,38.37084101859847,36.233160800695984,39.245584422935416,39.99600592755632,35.17596523211756,35.27794052576912,33.67614335105006,38.03033237092907,33.25606931952905,36.81064936612,40.193932573031155,43.001836701577375,45.88757796685334,47.467082954356556,50.69406396680723,50.084356173799925,53.3296898117195,52.88150761959146,54.83503794948127,51.7210196120497,47.2823731258159,50.669240619683954,50.71267607948246,45.97763212411169,45.80142809490316,48.522927722904896,44.91362760670627,41.244277854900446,43.036025234553705,41.917016588974874,47.5997003652125,49.92862452497813,50.12834698527592,53.93048891092291,56.84702345716904,56.18828430477799,51.35296307541781,52.664998530732355,55.330934950173585,51.42587467462614,48.51061237507685,51.37011349236755,50.69033899544698,46.42722976969802,49.045769243728365,50.556284078093405,47.029153331065956,45.456894928926864,48.25959294183569,46.065696639188154,49.06142694390174,49.07620348977861,50.53722687927009,47.54074187206239,43.442280619465755,46.207546553528246,44.79685954671775,41.55007097084377,40.92476680937159,44.16620918560109,40.28017829201965,36.68554707386536,39.2399857920578,40.86141054394451,36.74007067551031,33.910397543274705,30.983812635916138,29.391338070476664,25.908622982416112,28.96866413896626,27.39488984137397,31.624893633878656,31.834968324668854,27.166513248727714,28.172445971690344,27.284635605710886,30.059944164708824,34.42448085352874,35.33642657144723,39.32043797126607,38.489837738267745,39.01485413553212,44.68640733980546,46.28678221302528,48.63341177853561,43.56456653540827,42.54368852357762,46.38097740471533,44.89987542638479,40.25616433994733,42.891693792635415,46.324234649075244,46.94382483977568,49.118351272345514,51.18459143544382],[32.905663289040284,31.293250757016686,31.51105370051671,28.805625618209397,31.223386354824594,35.51130937093575,37.287825503062756,41.81727932695001,42.106295597115725,42.37570696995538,45.649802556544394,48.72109871351528,46.634825556158155,44.73670248909262,49.8968008109724,50.83197300514208,47.446786527740436,50.83030788417626,50.42445747502152,52.85668556874276,54.60476256048335,57.30206134803797,56.8352444322004,54.21374024036291,52.55448501842015,49.84070246188309,48.928559418865795,46.818089723687024,49.908409949110926,51.28874920332662,55.65033333653553,55.56914376185581,59.76768645480291,62.44479929607198,59.23547522301857,56.2475315020448,55.30683986197059,53.08993209537831,50.988079066025215,55.01747818943155,51.16274705723283,53.80215111395873,57.522304102485876,55.158019123948705,55.79351800043644,53.73194382024545,57.307062741678685,57.876847161582745,53.40875011580217,56.10786131120601,59.550434655860045,59.46248006693152,62.15702784391262,58.15733233083849,64.26091749954438,65.65943190945603,62.022195075070016,63.340910525205246,67.8461016907452,66.06885021651365,63.070455759413036,66.1724852979136,65.5780976294053,65.98484116239426,62.68553161790051,60.24884554600225,57.6684898097642,56.40904707110674,53.30471148501968,52.95237788750784,51.2990818981944,53.50121454145289,56.276747540830314,58.186596719448865,58.978765723881786,65.12530037355884,62.89216454896388,66.68462485542983,64.65259888622286,64.2390818324766,62.6416338687389,60.302582868467525,59.185428058578985,57.52194492939527,53.87122566114719,54.970928163934815,57.08399200552332,59.72871761474844,59.27276438877825,64.01097847501674,61.844060462963306,65.26473917494327,62.566948745527434,61.318935394328975,56.74877162066857,57.83166662342716,53.57595634356332,56.194495926839636,53.887173947239624,55.81080960028432,55.90473634446699,54.10427056481042,54.58526432310251,51.57344336557542,51.46468721815485,47.079349004469606,48.31367789671518,44.97905421856623,41.70050785723165,44.37841184635028,40.706693575108666,41.31115098991979,40.25761867248535,38.97237126591222,41.056167053565645,38.939465708563404,42.34971026799367,40.10594473478838,45.20811995839033,46.37205291052139,43.3868098688327,41.90307547495803,37.330306585580765,36.66538306989107,36.25712986519581,35.018426225043925,35.91213237371784,36.896877249364955,37.97709176413403,42.15915185434895,38.15381310585926,42.025169448381476,41.656710226732464,45.463849378833544,40.246556249019925,38.49378687683041,33.274628872891896,33.89965284302123,33.223392446398975,36.9801651119017,36.09222444434808,40.54924638762472,42.614166323288345,41.49212811119871,45.03565332347099,46.30232546636727,43.351555470608744,44.73696356060752,44.497486703438945,43.85489377680922,45.26509183260468,46.83107056229668,50.79024249095668,51.79139038286677,53.18008673557925,52.694975972148015,50.26241108433587,49.49402659134758,49.777536207942724,47.143413888708785,44.418732778394045,47.890182760095925,43.02644007176768,47.335908469049826,44.026874597460484,38.67833010756345,40.170877888395864,38.26760362599856,35.32636625884081,34.4792377573079,36.71897097920799,38.01188821965136,43.109129978895055,46.36956794790087,49.39956319134551,51.75466002204571,52.21579367645194,56.70825823448231,54.26254390074535,54.297591423701675,50.07719748143325,47.798760270508645,48.80908355602136,49.20367124952125,46.917316910882,50.6681609040558,51.09066559920708,52.343955460993584,48.9895075562644,49.623522749536534,47.02164264526172,46.1799098225522,43.4057781632726,41.544999817230426,41.7276234983825,40.67333320811494,37.3572734068445,39.04061964180038,36.398153700647484,38.96284412166197,39.60958241381043,41.39685249183984,38.28720950359591,35.41086917316941,38.76442331247288,37.7026594397055,31.660855589015092,34.267564519612904,39.09671993586543,34.33687325997392,32.197512995034316,35.327695482176956,36.268236541252044,31.550226686903216,31.66870221983921,29.782276295541138,34.25071201794554,29.086100402207986,32.52945002941735,36.049706225681796,38.714322187398764,41.83856649506899,43.170478230206825,46.28524749286522,45.522473116326324,48.69369942768633,48.184703207572426,50.078535950070474,47.01693677870246,42.53649521487851,45.86573911948082,45.90382449413579,41.17426933005294,40.95897304350371,43.66149567287594,40.083979582775164,36.39932040223491,38.18012885372813,37.0881601259696,42.80974659535598,45.121197383715405,45.40888197488139,49.24279086140321,52.237144061436304,51.616741482926685,46.751320964695836,48.16694672558563,50.926011998175284,47.05298928518787,44.14014438670905,47.16940801394292,46.62063637100845,42.33636843566517,44.935618650882446,46.637867359885206,43.27468810767213,41.57560580255003,44.34612090920121,41.98289323216883,44.81042233397441,44.66143437644012,46.048169667050644,43.217088109832986,39.0450876934277,41.625181589956334,40.2860527340636,37.08987066144609,36.26654285660774,39.505356257963456,35.7543086212668,32.05069616789221,34.46555705202563,36.202262292567205,32.17801927253232,29.24824079563283,26.331392746103656,24.83188595544625,21.36368572752977,24.709402984407852,23.099537155588433,27.271478754857718,27.747153370865412,23.01414159120868,23.71733888031094,22.611169649917628,25.325162284498646,29.7223777246871,30.803835675952612,34.717686979471516,34.13960197058808,34.77230529851286,40.40930781001408,42.02921620105817,44.51683690906534,39.52978873025508,38.55121567217608,42.54021266844094,41.17594938049465,36.6326716344612,39.29332861060249,42.885755745740134,43.67491064110192,45.89613848515465,47.95010094143583],[29.516002194594048,28.05243792177891,28.605382798927074,25.629936796799758,28.555857348232976,32.358777773108,34.21270390772672,38.75168848512199,38.79021664195413,39.17842515640245,42.35249270967295,45.445051226743935,43.632187771554015,41.580680298035574,46.775975162750164,47.87234664884065,44.66487567682203,48.156282651890706,47.97633432551849,50.568703450400875,52.45417691902832,55.386344196175145,54.9828688884766,52.54006800637893,50.796446092157076,47.82943300024123,46.85924814496209,44.4959556968977,47.40448875365339,48.64575395063681,52.77817771286056,52.74473505687527,56.839820850723584,59.647485097510874,56.59546721647834,53.71655095924946,52.843168373771135,50.91016712224212,49.018204016579624,53.37272538754715,49.597979655036745,51.93414896908598,55.81358751630023,53.69098613751365,54.45138841157923,52.628275001488994,56.307288060030785,56.6747360823409,52.31827969466387,55.28892665834484,58.505588411190395,58.4195846200667,60.95016128853751,56.73331564074416,62.7324705130741,64.24574489735637,60.508327057657134,61.54285506795986,66.13244082736554,64.55036165024634,61.29686868806321,64.15654383099316,63.349003926104125,63.8323387119279,60.693823569380264,58.11527636918177,55.33037934990144,53.86813405782394,50.673133250977536,50.06819803873927,48.43018828205602,50.5586897093141,53.357930692895245,55.50590718644011,56.23910726780446,62.47136646008051,60.44108607032838,64.15245317508375,62.29130115077023,62.11793555629666,60.50476974186196,58.43142602150761,57.172044820177,55.79482143232963,52.16781145444237,52.94910111500457,55.007904741288,57.43515272937713,56.909854766016835,61.43361299942245,59.14983265426295,62.45702897536987,59.625764398163504,58.28963524117562,53.67448716940826,54.58635361392546,50.29804928048531,53.062182788777974,50.74591413590084,52.6548875708713,53.02149246230877,51.357164045174926,52.05400139959729,49.17477709544915,49.49844993762949,45.00641510310856,46.45520084424203,43.35112352093739,39.861810322669115,42.26863347775901,38.350199613615615,38.955040071395246,37.540390858128625,36.43867371584477,38.3070439469025,36.352812983228006,39.82253875289331,37.79339012385658,42.84313405776297,43.7302386542686,40.62871811246155,39.00427042874796,34.55113493713105,33.81930221019155,33.30031745088644,32.499052291683874,33.29993607119609,34.66346285477326,36.0083950164711,40.39821965821567,36.73867673104012,40.826640453258385,40.604370777160575,44.093059355632704,38.88865491462081,36.75293726896189,31.72183228220887,32.069357493052934,31.203172260066985,35.0238137724137,34.30680499292515,38.973980875155476,40.69900056071539,39.48738106135926,43.11368814546251,44.06350192548936,41.03849107064057,42.22126551665652,41.992520523666954,41.04658844955591,42.512058925037955,43.7640208123035,47.824925492403175,48.53174432695187,49.92789942554646,49.65734532036972,47.28964816126661,46.748297442844425,47.08766226638026,44.763635255074114,42.298023720972004,45.73132927918335,41.119708444128335,45.592836241060446,42.671053799766504,37.469983985546364,39.22177525466997,37.719979654567496,34.68744099821281,33.41543906196714,35.53169537859234,36.453736157809686,41.56894611403193,44.66761294284847,47.49847522315098,49.70998947670052,49.89629392374312,54.56101748117129,52.3551593142064,52.514848265885405,48.546932190129354,46.04991183292179,47.523306525405644,48.19921211184153,45.80030868974065,49.52932345000456,49.736648673362104,51.39539057932331,48.11991179505922,48.97551947480496,46.55009548513587,45.451958745164454,42.86508730853822,40.89656691634808,41.113341310328735,40.189757669460086,36.52226394084337,38.166715970454696,35.34936905388649,37.49097727530486,38.286347296958986,39.65580510547651,36.39879883743704,33.81665481740261,37.08906090767007,35.57991337180905,29.638572192635987,32.46764479077471,36.99196950062228,31.87084100875859,29.915682030682184,33.07833430380862,33.59688033332089,28.786097846696293,29.26527040155392,27.665476853762986,32.31378687499898,27.876656385590465,31.12792326923669,34.65363408619513,37.80220198526817,40.90773918969581,42.52307210415207,45.403171623309426,44.65273184781028,47.84293694648466,47.12588041844949,49.39740582528047,46.495426227771596,41.72987601485686,45.13728071890309,45.646344468060015,40.87108616718885,40.43125855062188,43.3657634118249,40.1917821870431,36.27240610921257,37.79294516127776,36.28931373712592,41.75375971266522,44.15413774511812,44.16475718973718,47.82901839920059,50.703823400665144,49.86447333485889,45.08243922903214,46.42183120261777,48.91558771232687,44.91686616792171,42.112691873052114,44.943918988697966,44.163161611206824,39.94539446101553,42.773172775894835,44.228670571587934,40.61590480813335,39.25844310741436,42.23353419892773,40.08175835895174,43.09820063079532,42.986006037895585,44.72335291335643,41.855196854564255,37.480055738549346,40.41281131469314,39.33753459648203,35.98242614820357,35.238862161122526,38.9700135819825,35.33472181156878,31.326712554688864,34.02114473708921,36.19601616826191,32.22926156758808,29.04656239146565,25.592741102807427,24.849300460077266,20.877015324325367,23.86419182792214,21.50368748172653,25.519797314115017,25.341498082616617,20.720888723805484,21.878718764375126,21.425033453066977,24.162940123073113,28.45131069565692,28.986157335831912,33.07989005040392,32.03335105503966,32.39072887015026,38.07569828360164,39.68649056001693,41.949025721546256,36.857186609846536,35.86822448758963,39.689258359100364,38.15995723872349,33.53428292866401,36.25955973473056,39.680345658401436,40.31750539577174,42.49933161848587,44.579774620623866],[30.137050378065155,29.174392462245052,30.37943364044731,27.67446021567917,31.260011159909354,34.49611759898656,36.65974538174627,41.12741588147572,40.980175169543635,41.66334285908707,44.69125478951641,47.73598179165095,46.35236334840971,44.156052499606766,49.369427434143816,50.65406881152716,47.67194740447267,51.2510829308513,51.238169440837446,53.989351370684055,55.936589815308714,59.03834571536191,58.626258642613905,56.27116925267823,54.54601910800775,51.42330560818661,50.462036299273315,47.92484848343969,50.66951430797874,51.756381140744125,55.65038796485955,55.63216945116006,59.60174023011704,62.57079508798984,59.68419895101667,56.93151736639584,56.088684894837364,54.42472336947964,52.685327475548064,57.21598691018693,53.505975767149046,55.656147705478844,59.62512223747821,57.628526671621074,58.417552622843075,56.6869854518462,60.39262604809308,60.71478241137691,56.41711243865753,59.480895819619064,62.62122016916559,62.52323457384842,64.99656692225199,60.6879938151941,66.61905194647356,68.20167846102572,64.41571746195406,65.29295829046104,69.92642758527987,68.44442622317666,65.04620597755016,67.73752052240538,66.78344174773926,67.27878679961185,64.27240962913851,61.62845317682844,58.64712869796476,57.04676143097604,53.72438865173188,52.887720260081686,51.220783912639156,53.17632185074821,56.07706846686523,58.458636831735184,59.20682367131336,65.50565011562709,63.69690997440886,67.33498377743891,65.63324979305955,65.64940150546576,64.01188692852863,62.117195400927834,60.709088024539376,59.51170362862736,55.94112890914484,56.53270219782414,58.58339323449154,60.817499528037786,60.265059845794056,64.58079642751248,62.190137533158506,65.35794359009425,62.38971097418829,60.9542169740391,56.297024956900806,56.97200841899867,52.65321238575323,55.573917990188555,53.204257402288206,54.9445832116638,55.73567277154909,54.05947241859923,55.08479146690837,52.17984879929645,52.8238853440694,48.20395072264766,49.61591525182844,46.62711021471634,42.94500056280738,45.23902958937717,41.22159720510135,42.077505104022265,40.42310436697694,39.62429269048355,41.357522426243776,39.59971600150791,43.10224043884827,41.24280410535698,46.16844014730272,46.856722159062556,43.640760274876044,41.90804830786514,37.61512426806374,36.827766338977675,36.1338656270142,35.73145208017672,36.17488598118105,37.900430657168165,39.274784313157035,43.82240549564932,40.259699529732366,44.353369488915526,44.38361809407465,47.738532594710726,42.66654479274946,40.407858343258965,35.42867824657505,35.804077941476436,34.90825892363806,38.75477627005539,38.140678029771095,42.88241804080221,44.4194705818369,43.17335045673018,46.83373219261947,47.55370044851963,44.47770622019439,45.44193721953424,45.136162863440006,43.86012304306196,45.19724425640122,46.09236548942923,50.10376781279572,50.361591306502085,51.96893712571478,52.02925064267263,49.86174649905002,49.482220739888795,50.02629131902563,47.89462662389924,45.75483747327848,49.227554525037434,44.83534281474118,49.38292744535394,46.6652898772281,41.56229565635319,43.34478331617818,41.98344381072825,38.87386210494107,37.52894439342074,39.53335538537458,40.335205256188395,45.41550346384825,48.39674934360599,51.102737265273326,53.14689060268838,53.19258604881692,57.92640653292969,55.945344342036144,56.11393356278664,52.34352446166926,49.61422103302,51.316622386893584,52.13594685486991,49.767382601736884,53.5662924423103,53.72332081698427,55.5362028851823,52.32379859223013,53.21705810254911,50.81819536658628,49.624408499639955,47.02028880447088,44.948675305482354,45.05682671914405,44.0056442110733,40.21186784362171,41.618426122008785,38.55443594478591,40.546376560426864,41.02829746075823,42.233980756053846,39.09814210641973,36.37366465776486,39.31184015451969,37.71532477560929,31.905341621137868,34.392568656470345,38.61785092654047,33.48029422717134,31.33773735089394,34.166114322721434,34.653245202185914,29.777341175058336,29.898008656719465,28.684437870718124,32.97813702145665,29.099306368245962,32.58530004280196,35.79432629802162,39.130694341073195,41.81369059807893,43.84474651043602,46.93121797320796,46.53948357177083,49.91506984017445,49.456687424501325,51.84168846583012,48.75982981806006,44.19755404395475,47.83637917768423,48.34236614221838,43.54993373910864,43.34460214942792,46.486211983981704,43.18489704925078,39.23861481516491,41.177617059952105,39.31049828243449,44.861955942926905,47.098952136361866,46.753039897759365,50.43538898983029,53.0102148287061,52.341674874045765,47.623096472172726,48.526817000620184,50.988137541310316,47.135101040887115,44.123662906479964,46.61605846265298,45.76026580897451,41.53921142307686,44.148223865202446,45.36752505844331,41.66374995566197,40.26755534355285,43.15378433167794,41.24076573517469,44.50571342098201,44.782483716392434,46.532769219990776,43.300303293915725,39.2101587122061,42.46694799517537,41.142270914408165,37.716692329318974,37.50517832210399,41.14188361029401,37.19211548849951,33.49457783027129,36.60266354061434,38.47455680632586,34.28290778900461,31.32663542984727,27.897306799774846,26.96856318732278,22.97451076147423,25.28888872182655,23.24566271717895,27.41527608023655,27.150125916219757,22.720353419840286,24.34865248369777,24.12390241735009,27.177485691423,31.20155667221229,31.90075100174581,36.149352867240395,35.076324581164684,34.90784620452821,40.57996127183894,41.90171345532509,44.1762415675722,39.15699701566877,37.75025734814583,41.375009591764666,40.143251697492246,35.205506910978755,37.558841435927995,40.929222826248285,41.51424976844132,43.74073512881706,45.85603590743878],[31.219585907842752,29.951924777625116,30.59679908251636,28.66581975903948,31.588198583829804,35.58483854967966,37.89642028795611,42.287785113312275,42.79034802786713,43.630325809014195,46.90611854923973,49.69561999460422,48.11273258627881,46.42095346167532,51.62870721367482,52.577777047221105,49.53278696102448,53.219000797459906,53.289707978007726,55.64165835870368,57.69677618269851,60.475931385932135,60.239756051062756,57.801354284683015,55.887487060689054,53.04170569241893,51.81596865547175,49.44083048348679,52.229580203604854,53.20933244582041,57.66075251951638,57.192372576458126,61.33077082957366,64.32007260315281,61.16921862660075,58.45738652763397,57.22935659241718,55.519064985201204,53.521408784083434,57.59826467036989,54.16330544276484,56.771149414895234,60.52320646336833,58.34855816009574,59.27230075512905,57.360832099114624,60.95840669233964,61.24047156835526,56.74107176660418,59.44303351102654,62.68535711872905,62.36664303553039,65.007214296776,60.941509911753265,66.87835203579884,68.59379419645671,65.05437333406368,66.09108873772323,70.69757187531232,69.2467139998137,66.18934873981735,69.17023211777776,68.35988990412939,69.0884797193563,65.86046552089974,63.15790692988626,60.66128369205827,59.08514035146767,56.11388049383578,55.417075700913045,53.946922101206845,56.21237226065017,58.83921228006982,61.02874624461103,61.5054951413985,67.72767666403853,65.51481629068921,69.10362063784106,67.08622406631778,66.80821268989571,64.90694861712227,62.64795050053149,61.113675944660756,59.56870912456041,56.11984409933115,57.12790340097213,59.52093937899918,61.80496996964874,61.68157416387397,66.15296953769497,64.09482652076552,67.55452712697934,64.65823001847461,63.133720689348486,58.476909895503496,59.44060627091831,55.11636394497893,57.53312562587562,54.97899278457888,56.42410718026069,57.00601365292275,54.81101086523654,55.78058207714898,52.41439616349662,52.5215127851513,47.91716643570724,48.84450126429069,45.54292672006705,42.01410998787207,44.72900971102837,41.10005811637573,42.31037840520512,41.26201888156065,40.51814591202431,42.86276574496198,41.14372023790047,44.81445354988829,42.969418130488265,48.25392899785483,48.97261204606872,45.96860213395441,44.1478378105314,39.73005385737929,38.663429307415015,37.7379539774489,36.613900492865916,36.6374663094975,37.96405577570321,38.795962848033625,43.178488539533426,39.08571722205005,42.84185567179853,43.0127497685016,46.714370412138436,41.838788206830365,40.127268944527984,34.79040970662386,35.91078176837178,35.59165365810776,39.48993616602119,39.23644861251045,43.894694669730924,45.6810411080244,44.234472537371694,47.76234443062609,48.646275493138795,45.56623123518829,46.51632193829214,45.906191177076344,44.926135540563266,45.87376241133119,47.24398460947756,50.91647479304454,51.60409402375517,53.416581413118436,53.1906734981077,51.11265703814313,50.24761086134744,51.01694918354779,48.26776014572599,46.08675833277019,49.899787800253044,45.3783909587944,49.72068984041778,46.55882488457198,41.461475931609264,42.65506399974878,41.04674235067773,37.7458770293803,37.00292001338416,38.89872373635464,40.25199876075681,45.22823637370968,48.31111141746698,51.24834356892046,53.274193090250456,53.82519261015581,58.207033452293054,56.109588916595094,55.940292139532716,52.03139962628179,49.23661449365915,50.43036394040831,51.03212242644093,48.95976234720803,53.086208994467704,53.71473654433319,55.13359233442023,52.16031916706609,52.526912814786094,49.82948150474213,48.691616279384924,45.66158423637016,43.47864196287182,43.30320217344983,41.86043056640966,38.35631649843959,39.52786856056986,36.45966536665208,38.953818102236966,38.978030443611125,40.72707301030572,37.90866023783958,34.60942296155539,37.511010215076524,36.602504130977486,30.66439471033623,32.66337780701786,37.298977017601274,32.779716527890116,30.26552254396968,32.9944287839939,34.23139482485342,29.52355031738543,28.98191756684927,27.28805472591181,31.29050362822526,26.379049053163026,30.157022068435566,33.32464949681734,36.04755208551551,38.73261572256135,40.44949865231093,43.85101680652444,43.51578601037412,46.923944448297476,46.83133536695393,48.78660561916406,45.440222734053194,41.302342882467265,44.96468714313441,44.921520470203525,40.167545767891454,40.35697189454779,43.376757384306785,39.56096520147176,35.84031718418406,38.39478935183212,36.73393819361842,42.70590872297528,44.693194494931724,44.509135002566616,48.453379751485265,51.05201877241256,50.81218273459399,45.990938525653775,46.79938014588573,49.68005127687407,46.10651102708227,42.807997834690376,45.524215966962245,45.060023707588385,40.7113053204719,42.876260444866396,44.48222063028035,41.22121100992942,39.20628168053486,41.74800734836931,39.51675123825603,42.52953996864124,42.83763713712992,44.08689850175111,40.82629981515379,37.07761087111309,39.93721719099305,38.19166901589586,34.951256571472506,34.80242195497833,37.79984815382772,33.623660124070035,30.370521302917286,33.33152348648576,34.59908663642176,30.27690661815417,27.658572855667163,24.843272401182627,23.02114715067244,19.567645945700587,22.129581998928884,21.15349906594341,25.593096060477965,26.38189590494673,21.81177794867801,22.88552860668621,21.83257995059359,25.06381153062159,29.064380856544485,30.72094942127128,34.824522640918445,34.57023380080912,34.47962708021598,40.07478907665517,41.23653497998908,43.975348039317744,39.204342990629655,37.57505936211306,41.477124779756416,40.77941470418943,35.84504765600618,37.9215792911299,41.684645161410465,42.664240646251876,45.050951917399686,47.16523679785806],[28.48801880644386,26.815755975146303,26.9529800293411,24.98684573515722,27.453508220067523,31.826717069156086,34.01579682052623,38.39828743200881,39.135764619964114,39.91506317101278,43.30663042638473,46.01527927497819,44.243342257995735,42.784896984311096,47.962647664336856,48.738780340945794,45.65927052241509,49.38713871143324,49.55065079176841,51.71116533078872,53.86584529769681,56.54225331085135,56.44459672042953,54.0600811559881,51.98750616309978,49.20355728874884,47.81008284033891,45.45714465831958,48.22379515404187,49.1559749073258,53.83147569273702,53.19248638380924,57.40241794175606,60.364725878782856,57.10908158658897,54.41658073240744,53.05313115638254,51.34936834484138,49.29549710337495,53.271835662617086,49.990453448517876,52.694646820091,56.390433423572375,54.24160464752665,55.302764998121894,53.43844891021571,57.03529070789159,57.16926826207973,52.635048174425286,55.31536602360363,58.471266882556776,58.065495531222375,60.68858035598636,56.63722702461362,62.53083544365589,64.33554518539388,60.86998574283482,61.867501930093255,66.48205227513657,65.12640477847195,62.138066068736606,65.16992660114785,64.36787079969343,65.24897311324764,61.96381149780132,59.184101358584705,56.904636800655965,55.291533454845286,52.5227833344814,51.865158973688466,50.52888159462191,52.986433660391825,55.416385076333654,57.520529387524654,57.81519099507701,63.99070295289643,61.60250371030677,65.14670296288712,63.01295379239614,62.65195480536884,60.64911159582782,58.31045450458003,56.72814286328208,55.12349480345779,51.715314725921196,52.799777615912824,55.29753243568806,57.569935419642135,57.60241055988006,62.11410215120042,60.19962061619859,63.78796028876747,60.93538512731964,59.38704951271015,54.74901898144748,55.87856827728665,51.574011399282945,53.7527891745771,51.16436238727943,52.595533482945974,52.96751410915756,50.675572817579024,51.528532461932826,48.0991375970872,48.06095598965277,43.49292856248752,44.405516800191634,41.06572237359166,37.59996458770387,40.36721495415789,36.8096802792877,37.98045476911023,37.11893807028757,36.32370015960581,38.872892229875816,37.17478720520864,40.911422759951954,39.14063292037297,44.59288500432156,45.24426035531415,42.3614092814536,40.48508694365644,36.04049143425102,34.83525563551026,33.84409464449666,32.42746818213439,32.43898834545677,33.58850941989881,34.34593273895707,38.67625516661608,34.55109512836438,38.318290653234996,38.46478427700416,42.16715627601969,37.29971354685197,35.643410213005424,30.269413716754965,31.51715914128191,31.369610958996944,35.28222571421335,35.27627122175949,39.958109041183945,41.7167209130464,40.137974171583075,43.614680713665166,44.48906122545984,41.40921863659827,42.34999196885857,41.66894941220357,40.84415349220788,41.753139207234234,43.3565477886245,46.98544334912727,47.97934959881215,49.70734668433812,49.26874711916955,47.134324977031326,46.11295387145681,46.86266026419975,43.94581992214841,41.70871052569801,45.59901536866002,41.07830154980741,45.372799787296174,42.1718332679581,37.150369166694524,38.236534085107124,36.732479128780916,33.33752103136346,32.60956044460183,34.426665022768454,35.836328493594856,40.775368035793015,43.85375655957334,46.822731686093704,48.848848556987505,49.51364764421263,53.80870230879255,51.68048126310933,51.4550555008113,47.54168717353887,44.73514977004439,45.886851963954776,46.502022972862285,44.45204052692466,48.643170176481036,49.34734200389819,50.78538665681927,47.951594699945844,48.22282787939346,45.521528081054214,44.278866086916686,41.22795704818496,38.99277616954095,38.8039187334042,37.39601214263349,33.84141402940773,35.07571664401726,32.069199926018335,34.57039985623059,34.786051665068456,36.566773421080214,33.66486857891112,30.47455814376877,33.58694458146831,32.67984541089387,26.664442365466584,28.929040489742537,33.74438447163122,29.209563120547724,26.855994057116895,29.860178982699562,31.078078819464036,26.438037011423134,26.23565922186237,24.245677071019816,28.600846688555826,23.38025819746682,26.893008359385593,30.346940970967445,33.07089241352608,36.15767357108105,37.59089665326291,40.71000513273261,40.07916490694076,43.351638757558895,42.994725483791335,44.996179734897815,41.8365760779518,37.435854006780936,40.97090837245135,41.10185093562843,36.32892396067948,36.27874246975386,39.2662528805875,35.67967426608013,31.866357340821168,34.097963746225055,32.49908206541555,38.37281336208629,40.474683840661584,40.43971633025818,44.33815762934157,47.11241654716211,46.71822736757169,41.86646684072662,42.95243691343772,45.813912094179294,42.129196085672284,38.980766758388924,41.916555212115355,41.48463584141753,37.146659432940055,39.509087562772876,41.26802160894308,38.06054714455055,36.118634836377126,38.77172645560709,36.38255085316214,39.23083182560108,39.23365655280398,40.56554230492071,37.59369462273577,33.54827805952963,36.25030169337557,34.787291520875485,31.54711060158622,30.99879881751662,34.24718791760874,30.369558174832665,26.728598632722306,29.486023082268286,31.17522708806376,27.053055533539013,24.11590519515291,21.061610391910353,19.693104256625105,16.01452008282721,19.061874260154447,17.58568865609528,21.881454171201085,22.684178090193328,17.998924801866075,18.769966375737987,17.643239052662363,20.717585732382467,24.855273846684575,26.37379296394607,30.417074327646393,30.192829800255666,30.340325997105083,35.93108028798298,37.25241437151459,39.98983423399792,35.202618367779344,33.811766712486616,37.84727845370322,37.008756979115084,32.28481093682318,34.58256534449512,38.3951403772335,39.45101039421068,41.82458284745495,43.92351496841924],[23.82636741664992,22.72527341743115,23.888918535062334,21.658459741815587,25.4184541021395,28.60001212105528,31.112980223082953,35.454194487696405,35.680015144801445,36.82832372498828,39.9676122095352,42.672917009755636,41.58210983140641,39.80753443411044,45.02908641756414,46.158712745652146,43.488489895834945,47.40336377854452,47.98224266548408,50.467197157519365,52.83161907561222,55.935986254907675,55.90704949754327,53.829106459784036,51.680405194814064,48.45845071595695,47.01597947209484,44.21204302409326,46.60587415173297,47.24754920793492,51.41273277668327,50.870419267103934,54.83872355159414,58.07501353242023,55.16244810782177,52.705722403815216,51.48274935089651,50.347603165805324,48.704898915832516,53.247970763865304,50.10427613705561,52.23629990711973,56.19985239901811,54.47441873314714,55.69868312183095,54.22743513049691,57.96970668122412,57.81695452168955,53.50616436429229,56.62322662933824,59.41334305655566,59.03270030156631,61.37444876776027,56.97323257704105,62.66131801362733,64.63863831130875,61.00117362877871,61.50697705112742,66.24787868029671,65.21282830081344,61.779663939096224,64.35432651812953,63.16897003919924,64.1439722252014,61.17947558015163,58.182484152412954,55.48778432468262,53.516859470340115,50.54575682514671,49.39199642505299,48.06370309675523,50.301317087046556,52.81673919089915,55.391135244986486,55.61898975855196,61.937394959138146,59.987397320732946,63.36880121483711,61.59002856077911,61.69115932767672,59.67911111087429,57.849539031514375,56.0035611334472,54.937224433557056,51.59788678646561,52.088685361808075,54.469099453981926,56.31486147876203,56.20482173689177,60.271614344203435,58.11835038273526,61.442953449253906,58.32589754519512,56.599723820028366,51.882790563673986,52.61449389057719,48.25362940441135,50.74327444172327,48.11958036707905,49.43465304289241,50.470298713692706,48.40190070794073,49.76728252167137,46.55739533085066,47.37800620778698,42.603297937018326,43.84481543977757,40.96007010658545,37.082549434468035,39.323140213980835,35.325291971464864,36.62164660388897,35.0428323406622,34.716980438408655,36.824592487129976,35.49889884386626,39.30739604754347,37.959452587395106,43.20795075257578,43.34332707274025,40.239713589622305,38.10522078903559,33.97134961745008,32.64152867833877,31.376965556373857,30.905725424283055,30.560848771114287,32.53028547434911,33.735770053111885,38.44149844080353,34.97188582959656,39.04907012593567,39.52636683236413,42.629788679698414,37.880192842699934,35.56898534216025,30.601575122371504,31.378433296908042,30.898647124541483,34.865845000329756,35.132932453371716,40.099407248467195,41.25220172185063,39.55593768597148,43.14939349347845,43.42760050397178,40.23201925894724,40.74312329264771,40.049862299594054,38.56145365266512,39.486519372477396,40.3723537946422,44.13356107401276,44.39387160153043,46.25572230478827,46.347989158648616,44.43182906784127,43.870096641790205,44.812695782817606,42.514909453624135,40.86629979279169,44.67610419054694,40.681771988015235,45.23320064499311,42.7509737863622,38.032473321515134,39.545498344760816,38.69918178217784,35.217590045609306,33.80967498860069,35.383812310019266,36.132896217534295,41.03762244499448,43.78675412376193,46.36243266162943,48.078135305138694,48.22643555135563,52.815823679838175,51.17468918293612,51.16173545035217,47.74985735130615,44.528485908720704,46.5070738131641,47.610382014016594,45.403264426935436,49.534223800946236,49.86178672259951,51.967375119407535,49.25732770525218,49.90751233650862,47.513340871120676,45.88257027543207,43.159031922906486,40.76480378680246,40.60525585664053,39.37887871647175,35.27788411368624,36.33539637160434,32.97889960692543,34.67455512192416,34.971304675532565,35.95042021003226,32.89267462331924,30.154942544831382,32.9057933074736,31.19012689342931,25.47547477819624,27.897563266938395,31.97390832027059,26.810296717246977,24.66632608977256,27.51104964263428,27.966732568112217,23.097796636065887,23.31006754709538,22.096697549194463,26.542882335942323,23.02867090549351,26.294027034634993,29.5279866815495,33.163812313439486,35.92302174113109,38.067076846165136,40.90223684054364,40.49435693798022,43.87078364190675,43.319389865913564,45.97074920214156,42.9997304910359,38.292789667099335,42.03781462006964,42.911304920350496,38.114899569520354,37.82579820905973,41.23305396372537,38.26221013940944,34.13975677526138,36.10961900687866,33.718904224146435,39.140753192118474,41.28536246662739,40.621273583044356,44.22308136668095,46.62828564242134,45.96833433808271,41.31523248023209,42.02982632813262,44.42253172395827,40.62231598777276,37.549219447394535,39.94726766982892,39.08209280767076,34.85815136242732,37.47597351930201,38.67635324362538,34.985371200102264,33.60378867733672,36.55443069441697,34.67264140895308,37.97940980806242,38.269169784439335,40.18583340990942,36.962394140006,32.76755085224418,36.22783001492306,35.076551459650794,31.567295830749426,31.46570924881543,35.425826997464554,31.624634501050085,27.725042590237834,31.112695888772215,33.311146638830834,29.24738374445518,26.10683917241,22.262739135761368,22.11688594522695,17.74851480017371,19.597590242390883,16.98522261724377,21.00421050645532,20.543552945505425,16.247125785010905,18.172860650067424,18.41220359669621,21.595167717338033,25.2896801783616,25.93171185125409,30.30663225182592,29.280161418014476,28.651257473587485,34.282595113281864,35.41458021745267,37.77241721239382,32.86581452603643,31.204239657892312,34.83300154834643,33.9018874376629,28.838896389973524,31.011861328503784,34.51714361746947,35.30125875137098,37.645861969965196,39.823419465870096],[25.174710496352716,23.40970411182809,23.663501133856037,20.610827619416355,23.418598886395657,27.32486364687112,29.19811499935764,33.719068748921174,33.94449811690959,34.454934886055405,37.72380890180655,40.675078055637385,38.89487757117071,37.07989513591444,42.283765104643365,43.2655905133237,40.177672439224146,43.84827832910283,43.996139438376275,46.42917058364108,48.56617862612233,51.509603142618545,51.34407554940337,49.085330450179754,47.066116236526234,44.019382416888845,42.756502545674884,40.231732230042454,42.96238793053488,43.990568596403406,48.29662940881919,48.00106820327505,52.119594690798,55.037101302634056,51.95091586028483,49.2061235566116,48.1433684145016,46.467952438868,44.63497890013459,49.04385850082613,45.572620453498665,47.868930441081915,51.76738748634007,49.823897010646945,50.85927550591192,49.22987612645291,52.950464076989995,52.999957454757165,48.65651287935682,51.71743571495359,54.69208429640481,54.456884848873635,56.88691132182122,52.57307207553853,58.44118348985408,60.17760728138044,56.49791778154884,57.30013340132746,61.96183465256397,60.6478334326196,57.34297626915479,60.12389469071022,59.17894564298165,59.94427506894137,56.828311421905035,54.03373112828515,51.419018281175774,49.74418582351664,46.76508727836049,46.00429946216969,44.57085251545197,46.90312815857849,49.453048958725965,51.68412818163715,52.10679604137639,58.349892704627166,56.21784806842609,59.79717998484106,57.88566404504158,57.760899699058626,55.95545090945679,53.93343190655972,52.45753244988484,51.17621346894932,47.65051830590769,48.34398286240112,50.560598914905924,52.79206218567676,52.48605292151555,56.89715830431487,54.743803766462506,58.15708226329444,55.2622049928605,53.78889666594325,49.14613016965661,50.13918436976015,45.834147071648566,48.35242754583727,45.930474457302374,47.707241798971275,48.08540482623098,46.286631334454476,47.07058923645166,44.10542232905471,44.53130370674975,39.98019248509238,41.45886526404615,38.44590792295635,34.87351787042683,37.19427866792499,33.232688114216494,33.91407265881847,32.514552790130594,31.563999360403777,33.617666892784435,31.856486399147922,35.50439515991032,33.7579423100557,39.028049159766574,39.60068103782621,36.572961964188295,34.727737247827584,30.325534544693525,29.296520358370913,28.520384338139866,27.639182537571088,28.201008756685624,29.648007226035396,31.01210710031357,35.491380012194185,31.977391541885275,36.15519969668977,36.08636756140835,39.37920691664069,34.269491876905946,32.000065988698346,27.019110667789793,27.44208478145838,26.73836991469422,30.64610968592743,30.44618303602373,35.28933555905779,36.752709443255775,35.270311206578924,38.87743547469694,39.57699576886668,36.48045920477887,37.45437677924248,37.06829431207247,36.06511576290115,37.41933096062773,38.73088685840141,42.73736174490201,43.569074849657824,44.97320100188412,44.6300255907513,42.30746211083583,41.682026165578634,42.13691484768313,39.752885051019014,37.47124969078507,41.04949402976461,36.63678387792149,41.14654617466524,38.40773355025303,33.42354338633411,35.12319329261822,34.00369078981472,30.76715259937423,29.310401585760665,31.199557874056882,31.99626281129772,37.050767533917906,40.02433902210238,42.77162578551738,44.84214230929719,45.04029492759021,49.67327948410878,47.623997196671716,47.737729940240804,43.95506878564228,41.22814934328861,42.92445952568631,43.795274044643946,41.41418967515212,45.277238878990936,45.509684065660366,47.413746188128435,44.41869574112184,45.21209176135978,42.8502577430278,41.46075746047574,38.89540084211705,36.76209881141077,36.912458222787734,36.02608225725089,32.112093534390795,33.69877102865617,30.803581342062714,32.6878510071949,33.64957236380982,34.80828194530967,31.45298008451299,29.102596479169762,32.44012619702641,30.72259311607008,24.8263832874096,27.93745653041218,32.396753199637914,27.142298060822103,25.422901094777515,28.7854431180511,29.0995463247594,24.35262215701591,25.279799335924878,23.601117268664474,28.546931024177383,24.34968576835555,27.200716226446513,30.889269667284974,34.25021599902215,37.60620432815757,39.13856929836132,41.65384233249965,40.70475918057068,43.78351645310299,42.78388712764382,45.280502388990264,42.61588424366184,37.55599145037252,40.90278773012243,41.80256657626433,37.03431875942947,36.31696854830184,39.360336657774624,36.61457203674934,32.537178908706665,33.70384537800921,31.964292600994145,37.17913835359501,39.66602876500561,39.59921010544863,43.12813609668484,46.03267304656957,45.00407951771269,40.26322041036913,41.7285996658695,44.08007501840102,39.97510449279349,37.32383363534737,40.207911257000724,39.363452786019,35.19754824120453,38.25033104118341,39.71375691903824,36.06914717573431,34.911149930626564,38.03745213219269,35.87522593765736,38.82868911293598,38.51170298007091,40.47156974463758,37.82082230607493,33.166050752916725,36.14320985171772,35.42780803361889,32.03077099034625,31.055929023950704,35.19996736378065,31.905837877042423,27.51305280977913,30.19088053593687,32.890576329155955,29.184361653858286,25.697195774530613,21.823187998960734,21.951485797386486,17.672227391517637,20.64824405038773,17.492632148242695,21.157379554842723,20.612638759263668,16.05059283906343,17.21802972985708,17.177987899741353,19.730247633458536,23.95025248499118,24.07000749428594,28.20595449819094,26.975529673108504,27.307601049906268,32.99246258271433,34.679432895110565,36.866442309555076,31.74587068881724,30.891236110960598,34.74132342576897,33.10581192491521,28.588494690962126,31.47884869358185,34.89622951798173,35.57857549596818,37.76620330119966,39.85797158283556],[25.667659805257127,24.521800786695113,25.698865526682354,21.82709692319804,25.597840308112172,28.203492956438403,29.897809120271912,34.42119502783377,33.70516273847494,34.0402422554059,36.89865426794817,40.180048907300666,38.7671593642665,36.22181752531229,41.40427773810785,42.88101475135185,39.92920725962308,43.423074936460395,43.44619495065025,46.43914229376878,48.39708930215013,51.76308723261296,51.33611385290347,49.18589619073308,47.470889822544834,44.07795961249284,43.21432788771919,40.494655084367196,43.133833097405095,44.29026617897791,47.76937657054532,48.096395564449594,51.94184249861097,54.839011942073654,52.14277003698467,49.37229417839697,48.84091754778504,47.25736150709388,45.792352195962415,50.74389554291055,46.937627435007414,48.60307646781471,52.755119097562456,51.04784092206073,51.86095915852124,50.45162460355093,54.27107459664614,54.42023482675861,50.37597173988863,53.839083909410064,56.68773571804535,56.7471327882261,58.954035284073164,54.389971740954486,60.20315461861942,61.746140996054116,57.78316943587448,58.38830389027157,63.045618419932346,61.68045948319774,57.959629888580906,60.34738090156609,59.218958473747705,59.64987690634247,56.84800194177484,54.16132548874932,50.87718147756833,49.18248082660545,45.70146281023075,44.73491388123492,43.007295988172736,44.86435310943092,47.83017840684799,50.34180278759312,51.16053816462167,57.49436733641784,55.93966629369996,59.57049763037525,58.10183371018491,58.37454251663322,56.9297766108923,55.399628546040134,54.09247909898213,53.26683122337989,49.63041227409001,49.77904944116297,51.523740676542864,53.66415306121776,52.78477760840743,56.9486513689624,54.344714897254526,57.331614227965694,54.33400901330467,52.978241053890855,48.34902738450846,48.903006142093936,44.61449881381729,47.847082879525,45.682550673615424,47.80634156657099,48.53913890813872,47.42231852216268,48.33052711172084,45.975298862769876,47.10462938974902,42.58727967756629,44.6017427633451,42.02047190877815,38.31249674961384,40.072911587574914,35.708370419078236,35.983185226192816,33.77766377781339,32.82158362237218,33.95893976685845,32.18611017912881,35.53525094699455,33.78294309267757,38.45580697944367,38.988971796463936,35.659235638705944,33.95841266626578,29.800041300510046,29.213263403939926,28.77821535506775,29.015360744412718,30.069790106375777,32.06226470902926,34.064364154615916,38.652637733462214,35.8493468711081,40.28772548359819,40.096253132928936,42.92374036845908,37.71275478098479,34.83726470221367,30.458633594521483,29.923878058562533,28.447388859761595,32.17412949672584,31.434393176760455,36.28347007621622,37.40204719600754,36.243178750011886,39.978889258241715,40.44824898982497,37.4002747852226,38.361316039388655,38.3818933092624,36.94523334934259,38.76556112359303,39.35914763582919,43.73919657420987,43.898015291641514,45.079296957326335,45.18721923138457,42.81289442745876,42.86078686463744,43.05473256856268,41.536055364550414,39.39174110286929,42.46962838204567,38.30535831428533,43.01021473184964,40.873410801354005,35.974564267593294,38.36529219871997,37.520309464676984,34.62059141174439,32.51443828169795,34.49518400552209,34.58848841879975,39.65886411528933,42.447833621610805,44.85417029295408,46.90265146538201,46.44166056505903,51.47287704876058,49.61623884800644,50.14531966522445,46.59605003971372,43.97650975674409,46.25976444308218,47.36553705280007,44.68519800300418,48.09027110130342,47.74356481759421,50.08714740698975,46.80145309560196,48.22859461186388,46.2401276020759,44.84316547671453,42.8117361825371,40.860127796401336,41.31040225779579,40.833943903732404,36.72421463600372,38.47011240150886,35.60662267570087,36.89334595805888,38.2056763338861,38.73591589483229,35.165102883183316,33.442027286341336,36.60715277461533,34.19088257303634,28.675297175217164,32.045757006516034,35.85236565537869,30.076878755278813,28.742630599548907,31.964079459117844,31.454152110640116,26.639356667705147,28.103152866761157,27.13709368057062,32.0499475696525,29.137481768932734,31.778002655705862,35.27020181680748,39.17567792678474,42.26761126565949,44.248826939011906,46.572511064379505,45.72711026119265,48.805011077884735,47.581278418917584,50.468307153700664,48.00527604589937,42.72628842729602,46.07017988324693,47.426772990916604,42.692483016595396,41.72879963419924,44.87105730299635,42.55194066722947,38.37065714877741,39.09997118690407,37.141251483599625,41.863324242325405,44.4975919424276,44.17541779509662,47.393039121668465,50.13736477017932,48.73610697048135,44.199850502799066,45.595555567371164,47.4650473916627,43.173387616269494,40.809617573882804,43.285562898221606,42.004787049819825,38.05634744310825,41.4419616171893,42.383631309938984,38.28785532312396,37.802439117472005,41.189343618121704,39.47792621593978,42.72788527606821,42.53806696771352,44.94813938915098,42.21767367179904,37.449269112154326,40.8637098963321,40.43221417433486,36.9109968083832,36.11846911269255,40.678577849248,37.4862852640171,32.97278631846155,35.861409686114115,38.84512726026959,35.19515907890552,31.64355450285417,27.4552960338719,28.07485309340737,23.58940210283537,25.970496555811877,22.295106614139417,25.600613002031363,23.967354108479594,19.92547699201066,21.772613143483248,22.589720699898507,24.94228180532782,28.899925471886455,28.09403873368493,32.26908120242116,30.145804805042438,30.233827726090954,35.83607970197265,37.579097028397655,39.18875900120324,33.90177921372992,33.209999700286474,36.576191968320614,34.40456802906789,29.899365297454025,32.94503640225122,35.793839236212115,35.96493769544326,37.93345962312829,40.014691328223165],[29.439188924372434,28.281977552141367,29.33474625193959,25.424440319224004,28.89490124195863,31.737441210494516,33.23954894838032,37.801038718886076,37.01528004861153,37.071798033327944,39.89958600934922,43.32498344336731,41.664244629573105,38.97883827084942,44.116101143243434,45.60434303581039,42.43840402061248,45.70528649515148,45.33907460779641,48.41096704182067,50.100738541646734,53.38823369216723,52.74214431273171,50.394808063383714,48.9325340629801,45.674070575489644,45.08587181911226,42.59652656619801,45.471101264932784,46.90129847140146,50.30956803652256,50.88860722173137,54.75975167499516,57.46586201991863,54.73670874940253,51.7838373351287,51.42907219414545,49.48407989236241,47.907703635941814,52.74835989286801,48.63009694597693,50.387903597026344,54.48825728901365,52.57625565819666,53.123194590000786,51.520259642977855,55.29219140003475,55.743585210541895,51.686576036893804,55.052406974523564,58.135021433647495,58.3448930766241,60.65227607599689,56.19870172234071,62.1584599422354,63.461606902088114,59.45271201024061,60.32839602783193,64.8984781476471,63.24748058783822,59.6183674883003,62.13301339865688,61.191550361881866,61.34561135938001,58.47951731267174,56.02696436715711,52.66105635581168,51.23287977218632,47.60984699320459,46.90380479239764,44.99795374493868,46.72737129100509,49.87691463336878,52.19526962523143,53.30478980621183,59.58442626750051,58.03967894950861,61.8236118787639,60.34370677419902,60.49824468717992,59.25630620181706,57.61758084279352,56.58312618727722,55.606288202157224,51.848683817839564,52.1425999985653,53.729292178378266,56.134627453727404,55.0476346253599,59.40075256725299,56.71809215723006,59.653950010634524,56.78815252865098,55.61876429193487,51.05238848471534,51.63985453271656,47.40298868876262,50.78804128114336,48.76362928785635,51.10104299638347,51.608018787759974,50.642639854435345,51.304358533508896,49.06119306800447,49.96402916331765,45.559197680670074,47.590056413850654,44.883583945291484,41.32709068911487,43.20579792143251,38.914614844610234,38.9854307851612,36.883324044650266,35.633386122161475,36.662269585168886,34.61792006467226,37.7703957597921,35.6798135039157,40.1803096380955,41.101675296053955,37.77098083753239,36.34498473916713,32.08330041432111,31.807662220250265,31.70451186305474,31.796504051424414,33.25125457912708,34.98289485905186,36.96827875423444,41.41674044540636,38.45783795126054,42.8490900629156,42.400261469454335,45.44137339731736,40.06640214443931,37.33439788354103,32.88779123534397,32.254025003647065,30.639792245144328,34.273166612920946,33.01752669811921,37.66964973167478,39.093830293406135,38.204286270457686,41.940226859075466,42.73847891760128,39.786034879345635,41.044452434966445,41.25427148810681,40.03785374495514,42.0300706890041,42.74718383348385,47.19948793960271,47.47170642329043,48.521820587210875,48.52985905655989,46.01255212373247,46.06688578354319,46.04291008622538,44.502184258052175,42.032464269225684,44.94625248164135,40.50733052553726,45.15152441520702,42.784325856506875,37.652912537082074,40.112075203013454,38.90404966498638,36.217664615828625,34.25538724639366,36.485265828334924,36.71474907697636,41.86234211370918,44.81275746196504,47.34151545426257,49.59743279880802,49.17219561984623,54.21184885934366,52.11357109986404,52.69767817648946,48.89839885842022,46.59277646826646,48.60450224179207,49.49246441929878,46.759474635372754,49.996300689847665,49.61814447061437,51.70313883200815,48.13585623310244,49.640582146992635,47.61296922949025,46.50082195761423,44.48789440235525,42.72637730821731,43.30297326999607,42.882594363342996,39.00053984208279,40.926474864524295,38.233693017601524,39.78829470915895,41.14300601315936,41.90956133497734,38.33723798089264,36.502989300835424,39.79708341966423,37.572895837031616,31.93040324417354,35.26904473097993,39.284277075031895,33.609992117162136,32.172929871528694,35.408439216213246,35.08205284537594,30.24814264905436,31.517558119612143,30.41828488269397,35.28061127107803,31.920731443015175,34.76398411597187,38.29296953406333,41.97434850699332,45.07420893419788,46.943526764451,49.44897830805826,48.58911113685318,51.67442187975695,50.5338094492267,53.21430745375565,50.65526381852076,45.476684391614015,48.76680832747345,49.85047092200535,45.10209791585505,44.220965245859276,47.19614042424052,44.62812700422959,40.557230285024744,41.3303229708427,39.71179622457996,44.587218498638634,47.25224979437273,47.157156946211195,50.47195622359388,53.342952290272244,51.99300883481185,47.38696820426414,48.90173795777153,50.891182711677196,46.60010985723684,44.21819084412082,46.81712694284739,45.61574171734246,41.625333065851606,44.94662054537983,45.989730237644835,41.958362518109126,41.33485252934199,44.649540876620186,42.8371780027827,46.03090591090978,45.81748810392219,48.065228194886664,45.32877517416529,40.62385420803104,43.86918779782045,43.28614941492201,39.81367489322883,38.942710288951965,43.26739452027339,39.958988821287605,35.55951169155721,38.2845731884744,41.04798558403176,37.301787898555816,33.8450326457932,29.908108833935767,30.01501028133001,25.71657199735114,28.41923912542723,25.140566328270392,28.667074892872616,27.371562422386297,23.139495504060488,24.738418191067176,25.139398914554942,27.501325365512272,31.676604856549986,31.095157589481552,35.18490796024403,33.20385754007957,33.58845346378067,39.21110673508696,41.04504531354953,42.70637775183819,37.39946272348629,36.81321009702975,40.25507500853596,38.01812636588696,33.59656561861288,36.68802982697593,39.55804662793889,39.71682376497067,41.65075504350111,43.7001993044327],[31.89328510176815,30.320463780675308,30.734730187765443,26.386078762435446,29.01345261265481,32.298281809761065,33.21898915289568,37.82467771501405,37.00499030893448,36.457190326244245,39.31563110560059,42.942159450565214,40.679003606979265,37.927996454481836,42.95847076723518,44.32551136236473,40.78535569177754,43.71469646764739,42.83460165118033,45.89035096657409,47.26292889703007,50.38269337796407,49.52881609996244,46.97375885835274,45.747701605078475,42.69733682721241,42.40124149570736,40.25402467102577,43.45772153201278,45.2953199897936,48.72598382364607,49.608164502318466,53.56537392317128,55.922642929734174,53.07561885466866,49.84796232015246,49.713445505169695,47.221422781236015,45.486690965348565,50.159261594034035,45.67218794223596,47.54333541556126,51.5513459271678,49.40966259811599,49.6765787609962,47.89309681986093,51.60767805846759,52.34758389557671,48.314388542692726,51.600816987277064,54.88666983032617,55.290108950102564,57.67632164509555,53.35184197052351,59.46329106971222,60.46400516974447,56.41287255413899,57.61420370076397,62.06031538047694,60.083775694892985,56.593952407890065,59.29315976466751,58.616774737513005,58.48487019828601,55.49646593867321,53.31878692046657,49.98608993545636,48.91524709205278,45.24502304915334,44.969378222284575,42.918640433669296,44.656445182976476,47.88290582991161,49.82936416959565,51.21108229970371,57.37072073729587,55.702321954502295,59.6810036223372,58.11159152303051,58.05279628752945,57.07622312883425,55.280268859547405,54.65696760555712,53.49149301573341,49.572944287228395,50.046318714098895,51.40158703135498,54.19046080561939,52.854095391373086,57.51416670478588,54.81030981202344,57.771575247394686,55.15366253622116,54.267981129729044,49.82435834992643,50.62577623927029,46.4953129701613,49.93134197855259,48.14309466493413,50.897008548063276,50.812798647477415,50.13974643938871,50.26165578716535,48.29980711666889,48.84373581570164,44.7161391017379,46.929318024553396,44.15532834712894,40.93324382303625,42.84347071302285,38.66565912076304,38.18004056322821,36.252377140990774,34.43669030031988,35.29815924930469,32.83172449529626,35.687768872716404,33.154012515779726,37.497800354125644,38.93484000593202,35.69942448262279,34.65982662607543,30.228432386987514,30.372312183467702,30.823176481270387,30.612641944682565,32.9006932571878,34.13849977321006,36.23156250657771,40.365989848620266,37.443803961986525,41.81500462712614,40.86330711004841,44.02691774903763,38.414816980133494,35.77826081793814,31.486131045637112,30.45303348524354,28.563374370654792,31.9836672860402,30.07939042495684,34.45614917083919,36.222782130503894,35.66757748916705,39.363318250510936,40.613277870218745,37.830161391435574,39.55583546187949,40.09953064308506,39.341919121979,41.7074042358858,42.755579594266216,47.36430794198421,48.09309214556288,48.73821799509168,48.384907145310834,45.53549019215399,45.56308691245089,45.074681661301526,43.52202903429238,40.49111489134273,43.07754688847967,38.28546157208438,42.81161614734866,40.237513833623645,34.901596010719146,37.566607194639325,36.05308107610097,33.75835722303106,31.78472352892011,34.317377610266014,34.55568023833698,39.74379244912027,42.86657014029811,45.51360979348052,48.092449578580165,47.689426368374534,52.72854183998088,50.2539168350248,50.97578304221061,46.858289952854456,45.09622673544187,46.80395077664643,47.43877241880128,44.56581141958302,47.44296769552202,46.93308331816235,48.77230783933342,44.879359669620044,46.572499896539085,44.622873887478505,43.82134853302419,42.03219616359832,40.59903868281495,41.481109611005266,41.38922949532853,37.796670572734,40.1413321358975,37.90221121455285,39.59664363554185,41.424274652696795,42.341445258115016,38.62087490254924,37.090175113099534,40.74281959046632,38.588913928987324,32.9300540178845,36.633725888437304,40.87775318337072,35.25438284083653,34.08404038015098,37.59815179783855,37.23903260543626,32.54723761043344,34.169658490751225,32.76602847127172,37.867709132700064,34.02696994724744,36.62765993453105,40.40625805503484,43.832116246603434,47.295004952566835,48.72994334066212,51.04244265738553,49.819584943313004,52.67289457298952,51.24427037464788,53.7469252803883,51.41185595855501,46.068998599306724,49.021268180208864,50.05762204072803,45.39371745159893,44.23603325983797,46.86012491992804,44.45505200883299,40.51836742182542,40.68303779831575,39.650183428976796,44.29550203871313,47.181389079499624,47.56477842503249,50.80005074372937,54.02861350560615,52.42958408091772,47.80343885592002,49.862465611648986,51.82543719240624,47.360625902160244,45.30506106737126,48.23781162330502,47.08077131647789,43.164085089686104,46.730029110990074,47.969350144757534,44.02252919076003,43.511882006157464,46.89871308316715,44.88822661400604,47.808448830261895,47.18194238192908,49.40382930641948,47.075965487419126,42.1301124757507,44.9794343187959,44.66414120357165,41.31629888869978,39.87386947389903,44.20925812542481,41.25735752628156,36.637293411646176,38.810866011250184,41.81657550636839,38.348056189906956,34.7603618166463,30.957190045078388,31.131534877956128,27.04794337984343,30.36106572282366,26.9428563601423,30.21473659153126,28.97001007937792,24.700999362774983,25.756578598288378,25.910638313068056,27.757827161763224,32.15611165521572,31.2549452532358,35.02591514840168,32.94250915318734,34.07230650586078,39.605669072414635,41.82535490433394,43.338632094925025,37.964574594470854,37.9840553183757,41.53725002505596,38.81613532887561,34.88636161293423,38.420345749794315,41.19581577736717,41.28354388787527,43.07568914131125,45.02403759104484],[33.58851834949726,32.28275878827546,33.033925579447306,28.3064454663059,31.214303130793525,33.81223367480812,34.49204034873981,39.017080886037874,37.638111673379285,36.84329981776124,39.38611281719901,43.21643697050957,41.077492033794314,37.8799476190029,42.77804157463827,44.424846383570205,40.93544930573826,43.61150610482492,42.5201475571197,45.920158368028275,47.06904838090662,50.40645815629579,49.32630598494321,46.824129549808475,45.88827526472856,42.6899571627064,42.747112591351055,40.585598505475595,43.75757018400431,45.75261304895268,48.5932475706603,49.95630824837822,53.71257942843003,55.94786897704063,53.358874875421364,50.081295923022545,50.35145369236374,47.82302900679238,46.31747999189035,51.254028672927596,46.52164202829415,47.969244739790696,52.08168649390964,50.07323611802469,50.1228966990755,48.473346180231054,52.202985852672015,53.06556554751387,49.28464628521975,52.79036237518234,55.99953748275174,56.63341787841014,58.86473936461962,54.439757023012675,60.49499260979113,61.29492547421418,57.0767454108261,58.207467939457054,62.58770232662999,60.517943113022504,56.803240342386616,59.253541378748395,58.521890922943314,58.08431456980107,55.31055553145539,53.29829658960232,49.539660053208024,48.56264089106057,44.56984641409407,44.27315253802141,41.99644112267301,43.36073897019196,46.87773375296681,48.89763758362198,50.624316831302366,56.756285778504065,55.47338911820372,59.50394645175909,58.22676004041941,58.385807511578115,57.719546135463204,56.22724946146898,55.80716221225306,54.90273275019957,50.918507415785456,51.07481852332365,52.057071670898004,54.846063869584704,53.08224967555711,57.608057991650746,54.61712638419294,57.26388366524088,54.66411302754514,53.94302161215797,49.58840926821898,50.13775630378684,46.09826260636382,49.98540233057234,48.44532743292688,51.489340313803915,51.49370398627252,51.31919761410216,51.40119291766915,49.89086152367593,50.78527353841393,46.765982645283906,49.30423263735896,46.78746621619832,43.566442705020584,45.1501793691947,40.809206999127746,40.0012758994691,37.667139435402134,35.77029839944407,36.010244777682445,33.495358993609806,36.01468706576351,33.42405478429196,37.209418063357596,38.73296082636115,35.37694556754714,34.570296361312174,30.378138200512076,30.92056748887796,31.705547560426336,32.108566938007236,34.77907699973937,36.214278672893116,38.64855346088855,42.74687364591564,40.26334299716951,44.738434474338845,43.65835612267785,46.53809919561807,40.892907989422795,37.95570751452345,34.10167456904665,32.49123391537929,30.14877575141857,33.324089939696606,30.99008950096135,35.195676653470606,36.76641381579627,36.514700309911085,40.21684323171255,41.39364574936539,38.72764517255123,40.51687155310928,41.37486928922389,40.461327583089435,43.14821054607366,43.82336771074295,48.63313587025684,49.04786889250833,49.457058336442316,49.304672104716765,46.38268241486892,46.81782924172144,46.07563793295932,45.07027306878239,42.05396295341371,44.22815448274966,39.59552816482789,44.1521155474512,41.95695042562693,36.73494748610001,39.81049782941042,38.45177830757834,36.448688091928815,34.125645678757216,36.70105606155262,36.515879051996066,41.63348937504938,44.63050038373054,47.05669920269254,49.65642570130294,48.85179573013106,54.09008431378169,51.68423100800049,52.6852788604763,48.693559143724414,47.11135642575589,49.10446138602006,49.83568198193803,46.78669848402159,49.28759345319397,48.39054554059624,50.444264880380075,46.35206795301743,48.46914236859962,46.79477098746864,46.04499166753738,44.63802971822524,43.37342321234335,44.46085587389332,44.646820386595856,41.00365351666332,43.46561607591585,41.30684660471444,42.687489948946485,44.75641336579898,45.3546274063348,41.51942591711343,40.36460149689454,43.96290449804606,41.46680916776069,36.03311669228734,39.89568441889861,43.825749045833305,37.98143403571898,37.04900700493054,40.51692333851681,39.74232613444708,35.08860884055546,37.01157164765991,35.905615642840374,41.01079246504074,37.727425609505,40.19183049273303,43.90944019589363,47.581692727130985,50.97212960103041,52.57519152090087,54.75151879429991,53.5273399601603,56.345074511283855,54.748540289759674,57.44167105965649,55.25380440894703,49.76451068357026,52.66740483905218,53.95496113725753,49.31944873303408,47.991577855911885,50.624436085739156,48.48652363381033,44.50854963469055,44.36674624653406,43.279401722338186,47.61131317554214,50.59907175380104,50.9077406824374,53.95050488114352,57.13850977111119,55.29276385185939,50.79535294923098,52.89617398320819,54.58082941874455,50.00271550421388,48.168189090370596,50.92305990481057,49.54166260046573,45.77842653103351,49.54593834986595,50.53383517417805,46.38396078628004,46.25125380996418,49.7739921155468,47.97323859395891,50.998592051002795,50.37388917053077,52.83171179049821,50.52758053173949,45.48895981681968,48.5068712964719,48.38249197444403,44.98536791477051,43.56013006013751,48.120837857291335,45.269572015158985,40.54593825649943,42.77097379859333,45.96645806693241,42.556449629291144,38.90348726381648,34.93548125192772,35.37911351452289,31.181787911684943,34.29001179242466,30.598628289283624,33.67807683066593,31.947112187191696,27.94286068845825,29.233060797964857,29.752107665127212,31.47183888186014,35.744046007776895,34.35731008235065,38.07824730223385,35.53577397624379,36.630738031326985,42.04817699987993,44.342662272729825,45.50205208392221,40.08077199827892,40.29178610870921,43.5681119717433,40.492684605732705,36.72484455269647,40.37386646278174,42.78565486627248,42.57351799679862,44.18180253603567,46.08200561783302],[38.08888611188006,36.62877747929439,37.07394635174559,32.1627518541791,34.52455798799005,37.31513442316794,37.566953316658584,42.04199740238313,40.54776634129796,39.25048587289373,41.688100187625075,45.68116502310946,43.11705604596796,39.78591978901899,44.47033025271587,46.0772519078428,42.31093129664617,44.53761205222753,42.84969828918631,46.30682484110366,47.00763201154754,50.18553372588784,48.784190250300746,46.060725404811244,45.54076442777607,42.58957771812385,43.0963324402834,41.33569154201295,44.78612723624224,47.1917215862288,49.84059610778144,51.61465192663581,55.35142964175882,57.21144979215092,54.61267730103222,51.08838628663847,51.679517457459625,48.6265974047294,47.02886472731517,51.77792967904462,46.63220116326621,48.08721543968665,52.07341810131746,49.8453031490664,49.48516523068545,47.641924587086784,51.2594887018629,52.53026612594838,48.861123708200054,52.26558125219022,55.70018778164964,56.59991344145526,58.886521762719674,54.639315935900484,60.799879581874976,61.20267163429544,56.934567463903676,58.416050234867086,62.603176617235114,60.138220797354876,56.556513281783666,59.125026718234864,58.67797075101498,57.80930584903987,54.99604240283956,53.37663861614159,49.53885540587047,49.00021453876174,44.87855492304174,45.023548317405655,42.534469281380495,43.71291099252771,47.40171775218281,49.03991241664504,51.18220824624373,57.120863968501745,55.865255313235906,60.08441728355222,58.82063506587558,58.817884560911914,58.517708184432905,56.94346397287307,56.99074300888291,55.94584934216518,51.82534021817939,52.109161730312216,52.75868740362179,55.91190641646371,53.79665497423721,58.54958141709198,55.46933985438634,58.00338202728842,55.67409617405574,55.284576356235064,51.11541344083389,51.75796110207526,47.88784961792748,51.92475265851721,50.669260130744206,54.08635085173066,53.64125250397297,53.8103345339546,53.43700000112556,52.251053672188625,52.869980125946185,49.13665906486185,51.8130046250052,49.266039834926126,46.345550710841145,47.934024326064225,43.72161547317472,42.47037168061028,40.25920565324479,37.92219336736801,37.889085863000794,35.03166960301165,37.11566200294558,34.105302858544775,37.44142549419195,39.52361965580154,36.287668901649475,35.9578210060321,31.787249997069317,32.812751353663835,34.12118938048673,34.37348614491078,37.68422602831077,38.731347742487515,41.22454220868898,45.005717178776266,42.57694865041386,46.96541280662046,45.45674437417898,48.42647297638523,42.64153378038805,39.8393777030816,36.20554445947348,34.2590989449274,31.67299126530993,34.512436422544845,31.44644051847365,35.16645444995393,37.065050377102075,37.2699988734267,40.858783896949355,42.47301172065539,40.04802428657309,42.25976159389506,43.45904839426856,42.911109097590035,45.905968746922845,46.75695564740194,51.66700825246742,52.3355815595716,52.413115579135614,52.04087140199981,48.87768059360879,49.36587903436433,48.20551523174559,47.29472110396082,43.828727227312555,45.59665861628511,40.71349719054283,45.07854186011667,42.74356683758642,37.40364198588209,40.662577436420385,38.96914965544905,37.44592292919886,35.188135825122494,38.02265368631583,37.83654762841633,42.89392629800428,46.0057986004512,48.48959881076836,51.36674888188246,50.52742783540787,55.74522990031985,53.016828501617454,54.1773471329384,49.92849142290639,48.90391764490631,50.59528563130123,51.06169974516423,47.90641954798579,49.970160076072,48.89706790596715,50.656364678257034,46.196698382833695,48.54969163026521,46.99472637090035,46.63150106922905,45.48629847739847,44.58624627919293,45.94550052756849,46.40112676726389,43.0950224286718,45.86203016823157,44.07381911468302,45.59499682720133,47.94451397891813,48.68475418529273,44.7932813150679,43.80036477935691,47.599577786845614,45.20295596387077,39.77710963936438,43.78404570954182,47.8594714188655,42.091241282372714,41.26514181890042,44.84611809385249,44.097052440257904,39.51949847962076,41.53739236687878,40.27306755264326,45.44898471632187,41.82203759048391,44.23916398373606,48.06785606988229,51.53110491354454,55.084649472463234,56.435611801440174,58.57560749150118,57.163244823264115,59.84651373987456,58.12271402803935,60.63069863991985,58.548642728682665,53.03507368769468,55.70506306520525,56.85777083701125,52.29995020715596,50.85194740169818,53.190116493847725,51.073163519798,47.2601162299847,46.76860899097701,46.168645883986045,50.36173580662672,53.471706394236,54.136265909689776,57.135685708024205,60.555542743801745,58.572942845379174,54.07801527215559,56.51779448526133,58.19971410542543,53.53979658281458,51.906303102644486,54.85211297839618,53.5070372005929,49.79895178510853,53.667222360416226,54.76514090735041,50.67544886769554,50.57822779713453,54.11110017389628,52.19654875001086,55.065105537137825,54.223908385380255,56.611270744150985,54.52268916527069,49.40291813754064,52.150363638525505,52.11433691272098,48.81205057560457,47.08096748398674,51.53262574079683,48.83717226229861,44.08028104701203,45.943135131206546,49.15443582795868,45.87261450567501,42.22818644206131,38.46073056177383,38.73967857779192,34.758052781607546,38.20995686199884,34.62949987752632,37.64810378891732,36.04907583830177,32.01358037592831,32.98152398247541,33.24897935539953,34.69676695919615,39.089420808037474,37.60994389701215,41.06854286341136,38.51803537264242,40.104436497455715,45.40777582723118,47.93097466038811,48.980288314453375,43.56202339786855,44.14438060279225,47.45108477209929,44.08270916753267,40.654063692275805,44.519599566581874,46.8352198318139,46.54264745557378,48.02490131013612,49.828232617212834],[34.85489016960212,33.54734314750118,34.22113806508508,29.03893853849449,31.71028154211532,33.801841374296615,33.9564581772968,38.332471914291006,36.470579031680536,35.187006997101264,37.42900589055203,41.465033195092595,39.194512920888116,35.637396881202655,40.30633868320803,42.117854450705615,38.57746318288768,40.88627926105667,39.481130570114296,43.14069609724788,44.02035457297821,47.495722941421434,46.20263902584622,43.753025209026745,43.099453206720156,39.822592106231184,40.251353386180206,38.18079908996501,41.37650227431226,43.62068949692649,45.92935122513706,47.80141057527324,51.38514449798694,53.36946847634068,50.98057488687147,47.599404246421216,48.298076956643314,45.60445568453181,44.29384678685605,49.40927491386035,44.42420681989622,45.4669470322537,49.63076197601074,47.74233033251105,47.57527446994914,46.08209525171673,49.799993054070654,50.75772755003143,47.267680876298165,50.97620510944907,54.074662050549925,54.95101110936606,57.01332715831881,52.525596253746556,58.505066239511144,59.0655238732646,54.70583981881831,55.806229906607115,60.08235039292698,57.90169629561209,54.01421666307449,56.25728643919847,55.531731417697486,54.78804431531793,52.18910200311932,50.37633840593798,46.290548192668794,45.48411450820335,41.248423584730475,41.07020388310585,38.59198340016168,39.66442624775241,43.39127876208003,45.33959926918114,47.4024902145757,53.438307874270805,52.44232247807664,56.54449392516544,55.49822793509107,55.79700433416695,55.47920091025462,54.246778639224516,54.12689430447394,53.44127743222366,49.3888118518404,49.27130481955929,49.83392107328804,52.700602306048516,50.497563776371535,54.96298512940809,51.744491899819515,54.12755469836065,51.64341035701597,51.164073129642,46.96646906594181,47.40020162538875,43.519771625191716,47.75325220278701,46.541435661174766,49.99190270393371,49.8092471013925,50.21017822604479,50.036246150386454,49.080853873896665,50.184577836611226,46.420251101842425,49.33615923909925,47.103048151234454,44.04743482154836,45.27546674853364,40.8787095141177,39.53670797702362,36.919871097238826,34.76060520852087,34.346872566847125,31.68903709947392,33.7505454178927,31.034816339976313,34.21457852637623,35.92880775847379,32.551346096132605,32.09655653018424,28.150818474490766,29.19893162516759,30.494734057940736,31.34877936204447,34.660327595466725,36.064246194745316,38.84689728534081,42.73142481771245,40.785027642993825,45.31379678805879,43.96185476790737,46.50784611428435,40.83942696313216,37.64467523316644,34.39065518067243,32.078336007992,29.249415923979683,32.039710942357814,29.198228489356826,33.11379159587674,34.505419554945284,34.61656189247264,38.2572556720694,39.45429671748806,36.98860188563306,38.9597749029364,40.22214462927699,39.358587273931995,42.46339574606496,42.93917885141677,47.94348563701542,48.30888165428882,48.297707023579314,48.14448321841267,45.04081409409712,45.8292917807348,44.67007602948223,44.19255951192159,41.04079860844084,42.67850440368326,38.17786449759808,42.67552471249219,40.87057733819872,35.82757281690732,39.343748235375095,38.17641682486089,36.583217981607206,33.879084818471554,36.49923307507133,35.84677345091642,40.81197276497398,43.67465934189711,45.8741726029389,48.56058678942759,47.37868078200989,52.75913694692965,50.33181070438188,51.64401251405107,47.74380095361074,46.510087573440316,48.71310698215384,49.496450639605584,46.252400180778295,48.253487082942826,46.92907366426105,49.176519509527914,44.8972545537294,47.47363324814803,46.14859638470294,45.46919507843693,44.55621305635872,43.54828082949236,44.92546686626923,45.526534291382305,41.9255765602621,44.61869677004176,42.737465342180805,43.77300755672013,46.294094721387665,46.57948848502775,42.60149053438274,42.02695010727491,45.68766691111923,42.87821640553283,37.76939576698009,41.94130108270356,45.59653047876911,39.630478963185766,39.12011392724501,42.66048563598644,41.44618511832741,36.99889311571536,39.432956576037775,38.4616612274403,43.66928414660035,40.793435057188546,42.88956002585019,46.65099774009019,50.45758310652042,53.97489286073544,55.51211618991319,57.355201402001114,55.925330919309566,58.55256085645386,56.602761086962275,59.448743617431255,57.584563846747876,51.85419904697908,54.520537625309004,56.136516329167804,51.610685961346924,49.939155110596694,52.44439482981268,50.77969398815881,46.81232860003417,46.02892434626346,45.0715055458568,48.87085186156548,52.039940459583995,52.452329426590474,55.201953263245635,58.48193282137326,56.25294426600574,51.93105775172909,54.32345370586958,55.67150230480531,50.92775271439758,49.51739447419515,52.236156506814204,50.66185960073871,47.140738595238254,51.22372663350221,52.05862559671739,47.8014793571198,48.12805211968728,51.81019187150512,50.1304439249214,53.07934640115381,52.22126913670323,54.928660304123106,52.911535964385514,47.66106046581919,50.641401192991324,50.91527601904375,47.553118970082686,45.85753429430474,50.69547221427783,48.21341434755781,43.25880635290747,45.26935641129245,48.85328142099775,45.717846820161725,41.9179203509016,37.810974298604975,38.74120191992282,34.52370569981244,37.62691763935036,33.522739620586336,36.15983879668764,33.94751687371031,30.308267053540057,31.549706969292448,32.392648125874054,33.68632924035476,37.809960999207036,35.73870830461063,39.20274075169865,36.163755298376344,37.526390896861926,42.68859755676003,45.215235978806334,45.92864637930968,40.50875369665223,41.21740282448461,44.23742700101935,40.61502631828111,37.335780499558425,41.28057584218848,43.26788531537432,42.75561237539827,44.0991691232289,45.87785640681041],[31.321095396949772,29.753093301667615,30.152597213627768,25.174726616988906,27.713094353987618,30.368450952524835,30.785134543299815,35.300280509547484,33.952304543191545,32.98022082948435,35.58621928672514,39.43078303917166,37.101842588710525,33.97879128132522,38.881423694714556,40.4369954688412,36.882512867863774,39.58451727451557,38.55245644073296,41.88101337208695,43.12335973634186,46.459090717863795,45.48482614576339,43.046470578999404,41.969243835041915,38.728436222063465,38.678985686783534,36.48119991723196,39.65578673023153,41.65856069077936,44.60943404285623,45.9206246743198,49.72656850238578,51.932799419835774,49.28287689951718,45.99465492430145,46.229581489923994,43.696523631660476,42.19503265428528,47.16888837016384,42.501067191730726,43.93063783890557,48.06327363120964,46.118365636610896,46.28801351172222,44.73690934883436,48.50646270924799,49.211721416224734,45.44261594060841,49.02707653893297,52.12125206153589,52.71511272820225,54.89384314167806,50.41302815912783,56.43415057944696,57.30101581732099,53.088244470996436,54.14293225114315,58.556355605799354,56.58093945926095,52.84060197460266,55.290780785009794,54.527456543947046,54.21126953318353,51.405167147216254,49.30153376284418,45.637522126608125,44.601742588229484,40.70802771234903,40.424302930402106,38.22624615297888,39.76324201466292,43.14931924454977,45.13929244280572,46.7356062245647,52.88119090591703,51.48661106061385,55.50193530727763,54.16408244290941,54.30489551347104,53.59187901014775,52.10356574613379,51.66991776520831,50.79564414022235,46.81561880815565,46.935413058992566,47.93431426554438,50.713273680560334,48.9964865016152,53.550891098856276,50.621632636497814,53.361529846197755,50.77678509165273,50.0455485615394,45.688588287998336,46.361689120512665,42.321856227637454,46.09556357870548,44.570611541243835,47.694755285967666,47.51478632867491,47.39047453676425,47.34756674731021,45.92042628907381,46.80401879594683,42.862110648938284,45.516760068119886,43.08663549952289,39.949247051239325,41.42557832173359,37.09402499399598,36.080303145356275,33.74896715634654,31.72629876482284,31.933358455546102,29.369949456809135,31.90283690678457,29.329479067458124,33.243594200297004,34.71974818359199,31.392956197844434,30.56158025114627,26.30282823272717,26.852345496040435,27.73682608425833,28.096064538349548,31.01582067323341,32.35573345944003,34.900034039108576,38.915995562179596,36.633651674447165,41.14418712307741,39.98169040453465,42.71660612715189,37.06938657864401,34.02785454863781,30.36952571868341,28.52944001347497,26.0791368776332,29.219555342721783,26.94168648723995,31.234201638841363,32.70897195220075,32.397099637688854,36.10920224484551,37.2516628632252,34.584857493944156,36.407513353639104,37.32023195415371,36.50589104644448,39.29998300821572,40.08334311564565,44.932672074733404,45.55585474876665,45.80962976670309,45.501410421356525,42.48432512874628,42.89836942746291,42.044823391842144,41.06101127234697,37.97658167536763,40.0924871668432,35.48203952480351,40.05328979595629,37.96514827410781,32.82502036186926,36.00632859795286,34.840637688024266,32.872191804433896,30.351796794855183,32.88449888207748,32.53626634327198,37.623982486546005,40.576974212761904,42.95923863848648,45.572965729145466,44.73827110375092,49.984837044436134,47.57002688377949,48.6128143759456,44.65953256472802,43.11905029759617,45.19976337567794,45.994944143050816,42.89472982996507,45.3349285141897,44.371951791752835,46.55751848941637,42.54186162232823,44.717555277078006,43.13736134157689,42.2784241078227,41.00398554359811,39.75685626215064,40.9241115684597,41.279328411106455,37.59578244708636,40.158670245879804,38.144250034627724,39.3439861800076,41.69050731838262,42.154588188066356,38.2336361707039,37.4088361839552,41.105623321413894,38.487670284899174,33.208426297300555,37.31841456051325,41.17811244713116,35.32273374995535,34.67767022345631,38.284485616887885,37.3306164628476,32.842673309198354,35.14825289852394,33.96891597877635,39.22183228533387,36.04352856579356,38.155840638481216,41.97390067697249,45.66294357636895,49.256991349778836,50.6816521506059,52.560778369699456,51.12179366753504,53.77301294066969,51.9155598900266,54.6868387429028,52.741610560912434,47.067338417474055,49.79330264525469,51.31608611796349,46.759372350467196,45.175559929953444,47.740335791273466,45.95919426103075,41.96926239685501,41.383964405430326,40.35044489192312,44.35931924330202,47.45784072727054,47.86083385097385,50.744471807143356,54.03399004690031,51.97840932314917,47.55145312687143,49.893040168484966,51.436008724300045,46.75797782811054,45.172801469935024,48.02159799196179,46.60202256389359,42.951457639651146,46.92047097896311,47.94030294500375,43.81583972313942,43.884987361108095,47.49701605252165,45.668032102306626,48.54763091124407,47.67674219429209,50.25941206507028,48.23674876781109,43.01129068699425,45.91073530123022,46.1020955286245,42.75894397850082,41.044449482572894,45.81019725794001,43.3058984684273,38.36403909040145,40.375395770377196,43.91817488651745,40.7838689134375,36.98060465574558,32.8953172681689,33.82906933727502,29.63363072882796,32.81598384528989,28.74542519845326,31.428057992999566,29.449241477394946,25.65515719807198,26.7708279033455,27.493662253480796,28.84059919071465,33.02126726215631,31.195036970853245,34.75351114000702,31.98858517060855,33.32629002378186,38.629125434281995,41.09733757201657,42.093808972107944,36.665239852165186,37.210660010979275,40.46898760643057,37.12103340295026,33.65756337843001,37.55393957533026,39.85979322087866,39.60837196573719,41.137789162374446,42.99443056262089],[36.182963743829745,34.29276420567894,34.10198466344495,29.113697361564345,30.705678818411748,33.98263496222402,33.9207427165154,38.38666998474757,37.19478772751186,35.654705186775075,38.28706352174525,42.233263002067844,39.23332322215229,36.189734553881316,40.862547438570324,42.19080278275747,38.21007215621185,40.427528650456004,38.67525869161527,41.875619529998204,42.628702050937534,45.61466363393524,44.33130732916103,41.5378925567503,40.85109697489374,38.0392746534947,38.40919784351328,36.79273012345179,40.394956678549185,42.89148088407901,45.93084645430204,47.53018357469371,51.42935424577223,53.18305017391995,50.36089071601558,46.752080835197965,47.19651552531441,43.93539331156599,42.158576483726655,46.71942194955516,41.59499059371734,43.30249826998669,47.20783055339819,44.864857922784246,44.59387986566552,42.6817855549677,46.30964272889352,47.511082933792004,43.72923312967356,47.0622714149521,50.52545893090146,51.360074597306124,53.7089033976654,49.5204679097907,55.740566948039486,56.177675212961276,51.98164753669338,53.56966857884751,57.76530398109423,55.297238001270514,51.86828659494903,54.64351246487322,54.308515530231396,53.58857001936576,50.58123512864351,48.91479262562156,45.39942650088171,44.91735046657842,41.03960738503789,41.394708853067534,39.03883342655517,40.55973513577403,44.00435109909395,45.41729500219806,47.3741989934594,53.276193292530344,51.6746959704262,55.92545491077488,54.42376289697061,54.204800452304305,53.8154441372109,52.02713897476999,52.130547981893415,50.903425399310926,46.76200878410984,47.25158170465075,48.00439550967512,51.301895690552044,49.34761599038522,54.30940680841082,51.42961010104872,54.210854143720596,51.988757320527526,51.618356712978766,47.46714671261072,48.423277168835554,44.568111326880974,48.27832387778904,47.00713270225022,50.4823579962003,49.61740091918171,49.6911317658587,49.025069834879396,47.80187183778737,48.09272182810336,44.50656421531666,47.17602256969161,44.56649686112016,41.870366723558874,43.52700773371153,39.48332806056522,38.00947262353594,36.09488498332042,33.48220880523536,33.65308457576796,30.617223377996588,32.718346819193336,29.552203434664406,33.18664993159318,35.42192986047247,32.33866741571887,32.05460989261766,27.67632450358712,28.69894703810836,30.15477252581936,29.936075819213038,33.571039953548514,34.22636577295158,36.66023696082268,40.22239310832036,37.78859390692399,42.10993534920771,40.394418487341994,43.41087014134293,37.57860141596794,34.902485625844626,31.335506665462546,29.312830090413286,26.753378904845782,29.537163261882434,26.404593996575567,30.118718590617036,32.21115603719884,32.381047116744774,35.938906674730404,37.766154151714765,35.375543128665505,37.77730315555536,39.000526477434384,38.80609640534537,41.85116296117657,43.092518411730346,47.95558218330703,49.110137015955154,49.03130688401347,48.30032959557944,44.990059606553096,45.244873073323326,43.94322587195994,42.78118031134643,39.03966294340563,40.80791209535651,35.7306222121577,40.01558844981959,37.49516311229576,32.09224166720298,35.32865630592989,33.58432400258969,32.15443009553185,29.90629725381622,32.811018774901214,32.69808660198319,37.748280319311675,40.94515890783059,43.53998516929333,46.54094776961976,45.89066809080981,50.990870130620735,48.076188481541045,49.185607106536615,44.78956464291069,43.95000000883598,45.437627582596626,45.80121999605773,42.63901271866077,44.66906959720551,43.676680681819235,45.327193144416526,40.88525403960084,43.16572660425687,41.59398471472281,41.25533710326643,40.144426673617325,39.33102833429659,40.78752136003046,41.392848606163,38.22446859391174,41.166792613122496,39.65567395218051,41.21350130392462,43.83262095276896,44.66054720391644,40.735747316189965,39.955757075601724,43.948030116767804,41.65861734796246,36.30848741331037,40.516203360879075,44.71748025174006,39.11341792091223,38.49789245376544,42.26294093418912,41.55969486249844,37.17858709537377,39.443966350792145,37.91039539425284,43.22999083616498,39.324986456581826,41.42396534899095,45.408809902977175,48.673755058742074,52.51780589643707,53.50416204515559,55.38918587188183,53.686972846291866,56.15484811426675,54.203109121195794,56.61367645727367,54.75445798621577,49.12965054234348,51.54016001450775,52.75188011008455,48.302915686121906,46.63036820026429,48.761573828976644,46.8991547844939,43.171340320667326,42.22497956045039,41.92202324246876,45.87075426218549,49.08611827741421,50.03351554052694,52.94424936281437,56.574376264526556,54.459050187070616,49.982094564957464,52.77383174125375,54.451613935169114,49.73295954501737,48.32258724029171,51.52129864430484,50.2749755208824,46.635137402314214,50.62537189059878,51.92359905853195,48.00128010885103,47.92529521048889,51.46816579350321,49.38228234428807,51.980024657858486,50.80721539532244,53.164639784790545,51.441359684033486,46.16782522893644,48.5902414119682,48.815124537835025,45.643780613862894,43.49333719087485,47.98009360248274,45.66394649945076,40.74274481624966,42.20223525673106,45.67292139404719,42.71391062129084,38.96349909820579,35.26005032616377,35.83665945110211,32.029724609563374,35.770525243543254,32.00966143085075,34.68084447178817,33.14492626763416,29.209775808597325,29.744629058080736,29.922801884570468,30.922359361763267,35.3080538518952,33.60200074337091,36.782409852154274,34.26103922252064,36.318821895825195,41.49207596475676,44.23545520909783,45.261241655409876,39.885264614968335,40.8499128423244,44.280535775722385,40.72833527452866,37.67193987983808,41.780595166660326,44.136516129235424,43.94341680137158,45.393544968302415,47.14354120855046],[37.08634400201464,35.32318431376644,35.25454905396742,29.90855757992118,31.516960845505274,34.126111128012624,33.67016028695662,37.96651411265199,36.26034033949525,34.34910654653121,36.645004523200235,40.765367299054425,37.77597755606811,34.34899597480317,38.797300137992295,40.34033647000309,36.39099073400295,38.27991633587508,36.286252017003655,39.79751300551537,40.31826134347482,43.511329517926825,42.02651574631052,39.331432914084274,38.918213382834374,35.95667795464455,36.68844058574576,35.08834763487235,38.64315364716864,41.32142321811394,43.76289373486397,45.8560063577509,49.544951492561374,51.11113965252127,48.53944413056288,44.87820498362132,45.748490692032554,42.43717371298033,40.919702867194346,45.733603101658154,40.40792559722217,41.62511129744316,45.620366363064825,43.467080886026864,43.013078525403984,41.31970010912521,44.956227049377304,46.20178271708319,42.74120202968827,46.33206294642888,49.621235398225416,50.68051939137851,52.82240593919541,48.52512276844231,54.62793731777772,54.87139522080397,50.518777710623105,51.99373222346251,56.10946601642412,53.59060525371351,49.92452838104354,52.42405171922573,52.03067752417226,51.0288633237935,48.24377242336536,46.735704415741694,42.82879500277122,42.4568405905263,38.30217918409735,38.69486083806168,36.136428360442636,37.328705684458285,41.0030368019761,42.422195249448734,44.703639927616166,50.53730945217512,49.287838714461394,53.57947958696528,52.358499729165686,52.35041694004498,52.28592890723261,50.82808724546605,51.16102618930623,50.22722531463583,46.04910815977018,46.18363980793474,46.52401201665084,49.815137335191466,47.42676555150616,52.25146537410947,49.116250064060985,51.598778883188714,49.442322481000865,49.271390164652615,45.25953625232214,46.03409438001528,42.326020701471705,46.40909928992849,45.43707976370055,49.24812186520378,48.337793850823125,48.96352243809864,48.16493653075696,47.47287569485077,48.09477974633688,44.706538828951395,47.73468105951218,45.452095740674814,42.83391723604123,44.098151649600055,39.958219636233906,38.064478760037275,35.78944010827471,33.04419880772878,32.53354458309492,29.44284673748291,31.10207928249749,27.891628340174393,30.87007571122942,33.21555329889119,30.077169711307295,30.103295602818644,26.03712076213286,27.527460215559323,29.40507023438221,29.768357669892335,33.86689446963808,34.6345783151859,37.41845096163935,40.84240351966572,38.981196377509406,43.36643568958621,41.505672029759246,44.12124364627047,38.33307232008411,35.34400918408794,32.391436572957225,29.712902076899706,26.686331861450235,29.09185371290446,25.542458646981512,28.991670824263274,30.792743703212146,31.29934804705819,34.803015466450034,36.53930758487538,34.32807485306681,36.81367537654424,38.397389614764485,38.13127087640385,41.53118563894745,42.462968649972765,47.49503898097484,48.465210669746455,48.047542592235565,47.416084314176786,43.9971133021979,44.64675177927498,43.013405541090854,42.43609448906733,38.699016862204864,39.958074206298555,35.1198232868227,39.37392815693357,37.35196573657113,32.210665994975415,35.88563783122962,34.44808158262735,33.36414896074238,30.696004359911395,33.55636807867484,32.91582270819948,37.783257311479474,40.782296198165994,43.092767587787186,46.10339546656887,45.02719856323926,50.29035371258481,47.451454810799014,48.8705435797015,44.66139467279897,44.05582864498052,45.861537424848905,46.35388661303421,43.01612471460537,44.58783776957631,43.147654283270505,45.08446710892008,40.51153159762603,43.26534970116756,42.0661286838774,41.72257045622928,41.1003107497631,40.475828593411556,42.15801770900218,43.11496096476192,39.90595512264219,42.96677649707185,41.61128317536383,42.761357703424736,45.71354226929745,46.166930616751436,42.13446357823277,41.86971100071804,45.819119091437315,43.17853015843372,38.16436202998278,42.58348387384396,46.433924020078095,40.68011203769207,40.41283673080825,44.169911818753015,43.023663678521004,38.80086120070727,41.47591222328272,40.17493897423665,45.531131905453805,42.180663173263504,43.9967725482541,47.951480197272666,51.43601570536928,55.29372958812639,56.35390658697806,57.965307935486365,56.16737108488054,58.51288137060181,56.284986432571785,58.906548891588315,57.3111138204045,51.4902578687624,53.758636214351746,55.32215170926208,50.96115923136752,49.01994022429445,51.122680849140345,49.699188357669236,45.94137910891549,44.51912565610732,44.173286893211625,47.633186076509226,50.973137129061136,51.88422877949868,54.511953587582056,58.13322633097645,55.68860374792219,51.40138954814618,54.335251193420305,55.668394513146126,50.8252673604975,49.76067465488732,52.82036658324487,51.35761236084241,47.945861117469356,52.190376476655864,53.26903696106112,49.204876890005615,49.5692840508013,53.25628538794333,51.3562463174473,53.96400120541313,52.67961707980863,55.303699805194285,53.74473587692823,48.32727306303237,50.83684341372572,51.384177667539326,48.20618601333108,45.95830089881324,50.72697433675973,48.66738752386689,43.578440928666645,44.99591588317046,48.78278058097865,46.00596273447121,42.14677274615093,38.25485674095078,39.28386434668988,35.37510737888232,38.93438304553209,34.79969594159476,37.12122289363647,35.073707691739074,31.50497676065213,32.17085788533418,32.75663982917078,33.49517367262453,37.66705857987033,35.347252392021645,38.359199716223756,35.336975719655044,37.45364283770144,42.38873599345857,45.26334577406764,45.860134289542756,40.50248483626008,41.811054856341464,44.940160134127325,40.95097327971834,38.26045906172836,42.54859015115198,44.48888524550901,43.99871245636723,45.21171572076377,46.86147426032965],[32.39725313523507,30.544827730747055,30.39871507940804,24.970217858822025,26.612594301086965,29.08729476343217,28.677310775513412,33.00728881702596,31.380656335300657,29.66002884509544,32.09749938120176,36.13708185134124,33.29209727657044,29.993837984801207,34.64477475409858,36.15869203286101,32.34502972494559,34.63167883895046,33.16999295257188,36.60362541145983,37.58202236354119,40.92640156350502,39.79632030024059,37.33924431431428,36.45205889509501,33.222339294773874,33.491710854822585,31.507827604132743,34.86078313809255,37.23585065842277,39.925324338088146,41.669745530434085,45.42819718707382,47.274755594718755,44.65421114037596,41.16369341444701,41.760226513920315,38.85250985273684,37.41432219135416,42.44682235687807,37.489984251829334,38.678105484247965,42.81545429441533,40.89625084720115,40.8847748717327,39.4356019437505,43.2091363976745,43.98404581601635,40.43139138112895,44.185844702237006,47.198556564013614,48.00810771195247,50.06556886043009,45.56352900406838,51.566419662886474,52.18704868039262,47.868900793423705,48.99350037437664,53.3056895448403,51.182501086383965,47.370622735411104,49.77452500235315,49.11613794529846,48.56258843790121,45.78295478782933,43.86734023212704,40.08323912735123,39.29278778051581,35.30204937369794,35.33674407788795,33.00258700711918,34.50576642945736,37.94640416992482,39.66639723728193,41.50662811920657,47.5344028543692,46.17263324057714,50.313527135089345,49.03279106331333,49.14686025602983,48.750043053817045,47.365266545588064,47.316040849870866,46.52500189968419,42.44281362146053,42.43289258244259,43.048700713639775,46.04937143598677,43.96494609933657,48.646189250266964,45.61544603672397,48.271266440462774,45.89957041063208,45.45463310992461,41.27474766322644,42.079037824275694,38.218584945891536,42.11927515332965,40.94077858338685,44.557539657807865,43.83662716600987,44.258570427839025,43.70197035388268,42.843587498711294,43.68694691189242,40.136373556378295,43.18051271765576,41.00395958417116,38.22917356241944,39.3807899690519,35.14019774802685,33.37215369285206,30.97280497255505,28.42459751691766,28.05447478556968,25.15342473423922,27.182636118387954,24.300219210120677,27.79843875625212,29.64746192090036,26.397894192199402,26.014570755855193,21.821741739931248,22.980912524656087,24.599469369319248,25.080755560738556,28.983309775725264,29.965874015771742,32.832535691387406,36.4291020366973,34.72243281726581,39.21142385441427,37.60083299052258,40.01481351494925,34.318469894700705,31.104536795194626,28.183622093859235,25.497192439387778,22.49975909427605,25.146526313533236,22.19963857767954,26.178670402746537,27.611593916334822,27.69228959682815,31.329938065033158,32.681473443492536,30.2604270836468,32.46098651234749,33.852994943900306,33.38485542260612,36.67776222056957,37.55783193841386,42.57146440091783,43.51943032772589,43.20895160800715,42.61633209031723,39.28309455427293,39.89382143198006,38.46780352980636,37.85666875796088,34.39318995937408,35.911625041213604,31.27150760796581,35.72375872878246,33.91768047308322,28.92771809237919,32.581427270848806,31.587564233339663,30.16102514512443,27.24028201387471,29.865582378140534,29.048757935361067,33.958104097085275,36.834420723144824,39.0620626045989,41.87873993642182,40.78285848334875,46.09919436755327,43.501292875790675,44.843605704221915,40.86151018464795,39.85483740983147,41.990034102969055,42.75021075801678,39.43951261494728,41.30270445512062,39.931772797032686,42.23386626023112,38.01330461352462,40.6367580435884,39.42358774795804,38.67543849253028,37.96895545988434,37.0767204615796,38.62283969808589,39.52329155688908,36.025934158994126,38.943962187303235,37.44062033986278,38.31748083770081,41.30089080902692,41.52462857457846,37.46347850280725,37.38084791647965,41.24965579996348,38.43211306284658,33.58125138420882,38.08511509146421,41.74064913141809,35.94742518699336,35.8607027381015,39.62158025154702,38.30156381403768,34.20288874573368,37.11349195129961,35.88653043344684,41.261604383966244,38.2792061894648,39.8284678059004,43.75288682731146,47.38207511619512,51.26108738005912,52.36278052295789,53.75955887910577,51.93758056757457,54.24373566127785,51.90464260397666,54.72205540020148,53.24625221543265,47.31329240386464,49.602933581493524,51.45220662872595,47.112566819080094,45.05625695247856,47.3187286133514,46.16983688062863,42.296383135930576,40.77000673870348,40.1085534304896,43.385898269555526,46.722927937909446,47.44274489493139,49.96339533674348,53.49016002981741,50.97089715156979,46.74804911922824,49.62704883848888,50.836166445308734,45.972946910573555,44.978194734098594,47.962736903687926,46.43717303953621,43.09410307848609,47.42432553094759,48.43775427919718,44.35887754557334,44.8737095496792,48.61271337071945,46.78710484290508,49.382829994325256,48.06168883969539,50.834736063141406,49.34941908660745,43.86284058569754,46.465688648290815,47.20367755362795,44.01521782336331,41.766544784815835,46.761247607878616,44.873306809286966,39.6672275065873,41.16476712155253,45.19798556992931,42.558492950381705,38.606302626365256,34.512734094701955,36.04099958318493,32.02655795488565,35.358086564818166,30.89608526918846,32.89291336927717,30.54762685034031,27.24634347638792,27.97840686421323,28.91601467802548,29.512509678591005,33.47835829605965,30.836325484609816,33.87797232463541,30.64459293300508,32.6193780672646,37.518363743955035,40.37460587381911,40.894787257748106,35.532422951415235,36.87282896177615,39.942126442036795,35.91763651819262,33.26873753436851,37.6094392383024,39.50313732525215,39.01771305966839,40.239072437457956,41.90804682906477],[32.995417165122575,30.762609788220455,30.036640454388184,24.948120097075545,25.867779169560507,29.378705114555824,29.01987782161734,33.43763093065505,32.47847377870325,30.79653817932465,33.593489835363194,37.450640755135026,34.186236290510244,31.424029434719213,36.11548628173794,37.22191162493491,33.160716509530424,35.51453125259715,33.958403585632546,36.937452408322976,37.93594684502964,40.87027081052908,39.842312703702085,37.14393256752861,36.112860626735866,33.25812086749363,33.32092515262757,31.631449090059295,35.23627663609038,37.66818748915347,41.0527102756085,42.398612397704476,46.416341620957155,48.19668420779335,45.219447156606655,41.63380705274977,41.879661439807435,38.65894782705411,36.81856899328905,41.382187243952814,36.442082413752075,38.26256609254742,42.18914497226747,39.913088649868804,39.92824395884839,38.13160259697812,41.84717727757214,42.73823665527392,38.863290200594676,42.280182688748866,45.58492531972789,46.26471738646508,48.586590388138184,44.31112830207448,50.50504068936138,51.141332156182486,46.995518662366784,48.45915469838546,52.75198449602496,50.487545252542716,47.06185346492184,49.898241581031336,49.50004890415823,49.08769327862644,45.97762946226834,44.08651055278705,40.843489529149366,40.2079968032026,36.59230477950277,36.93685905898528,34.79209105884022,36.681312562922336,39.8199136769704,41.19808287556988,42.82209670717621,48.75911846580968,46.89036996769737,51.082228349241994,49.41176698502083,49.121651061448446,48.537410840206014,46.67260189485336,46.65536434146238,45.4061897756359,41.29129441370273,41.81404109010669,42.731303842417674,45.98617964795286,44.2565665587289,49.275168178793365,46.57602842688445,49.58315347951715,47.35369853293252,46.89018203153995,42.708936349208756,43.89558541209326,40.023065949164845,43.41161941298378,42.07382249011291,45.52867405799752,44.42380212718653,44.39869898792629,43.60391365265351,42.34790041620857,42.54125047699515,39.019790618681334,41.74955994730397,39.201880139218744,36.619865312750406,38.206877302817375,34.24289576228346,32.58510254028811,30.814924875249435,28.05469788524103,28.388854855143794,25.301954509046972,27.53963553681462,24.418118849672318,28.473334103357793,30.5823562862368,27.595718056190762,27.188190977187304,22.65037820405928,23.544626369018996,25.038716903485692,24.524148779580237,28.39457697576323,28.832593294687236,31.311755684007693,34.75948291474222,32.4976314741688,36.837249436169195,35.0582117818807,37.93952629051422,32.112487473770415,29.365157871201436,25.96570417553325,23.7596802884416,21.170026135735714,23.985955227815577,21.060407635245856,25.02621757017042,27.046331564933134,27.00262183963895,30.59405026393814,32.383752083946426,29.943050188647977,32.36589077549189,33.557769496853346,33.54943547299902,36.619654381959805,38.10506556778842,42.92364808952288,44.417730524060865,44.22179582298425,43.24357700886809,39.856969324862796,39.9591078488083,38.602665090671735,37.30416840632095,33.47884229949379,35.30765474788784,30.205879006140723,34.528366644530905,32.04510163566153,26.696116526539704,29.98704889190938,28.50318781836565,27.010156175920415,24.537015147739304,27.378079386326945,27.145391212587125,32.197806891501,35.374206176857676,37.97490159751592,40.97670721321723,40.40452003287359,45.45982032716578,42.53488879503189,43.6130840408579,39.2449459728405,38.377521810810514,39.9315074389921,40.38198466429006,37.19155258448738,39.283164019385076,38.31675942484816,40.133909347216985,35.873655916828035,38.1083583200304,36.57991479059146,36.0260868108823,34.98329930843687,34.121069724390246,35.62675383453837,36.39110292776127,33.161492454656894,36.196253109632565,34.86079514496658,36.226004429314514,39.139084584058836,39.847506011893636,35.86943320649531,35.45200270002003,39.538960302505416,37.189809288657095,32.06799749839909,36.49939542876321,40.61814038481059,35.129858379082286,34.83846553969998,38.72257747824909,37.89642600180089,33.79676018412071,36.42286309400797,34.771909220220685,40.177604862312954,36.38239006055565,38.026348354543785,42.08796147213265,45.303957148655535,49.370964091318996,50.11443405474247,51.63191612285476,49.68274617691199,51.93828536725775,49.70240109089559,52.1799907683956,50.608823151968906,44.80957491228324,46.998674690762265,48.4775497026031,44.14883640890737,42.18565188753824,44.23536927633764,42.812295314052605,39.086551931626936,37.624617140234776,37.379330199560975,40.93885687234453,44.25900763709286,45.31880152141549,48.0490079149518,51.78867171617654,49.47387510433473,45.082398052618935,48.143559488744685,49.69039128007493,44.903304192999606,43.767721966399925,47.09246847611432,45.857990022819685,42.3597100344921,46.515847331731564,47.892164709298015,44.08564987274811,44.1773435808662,47.76351975083178,45.62704593804635,48.00274510984534,46.538229320836365,48.99313231055126,47.6242051324007,42.18740533377461,44.41399255821247,45.00294791246506,41.93658536631493,39.445870209049026,44.124550368760474,42.25234068070026,37.125880807011384,38.29637894128593,42.16059269079356,39.572289362817195,35.685613827680626,31.9049987803112,33.08322780201852,29.363669868160805,33.134544900685654,29.02326408068477,31.15144555630117,29.435933768947017,25.83010920580532,26.052389692087658,26.42067287549102,26.906439214911934,31.113760514443676,28.94013485057833,31.863245939292607,29.175576655200693,31.565697487047093,36.554059011825146,39.47905468747029,40.373137839807946,35.05559475138198,36.39724269253379,39.83038956266468,36.067564631103785,33.411746024701884,37.73858865463076,40.02228394506172,39.862580960826946,41.24488441875663,42.93063417840339],[37.097341996905804,34.8096376876641,33.86881759850462,28.648437621393967,29.028465658727793,32.41758778264321,31.518661111517986,35.72547139596179,34.5461351015148,32.26950626724498,34.82690480771207,38.821580515497814,35.1335287246957,32.215232766395914,36.54014118284813,37.60739936576103,33.29365826161928,35.042434407632044,32.78401497237814,35.83925869884355,36.298610231327444,39.07854263456719,37.68272425157617,34.769266755361876,34.226733169683364,31.632447296343035,32.27022192550079,31.07071153099556,34.943275340049716,37.846110544881014,40.88381645383654,42.747698421592666,46.670528017094675,47.990905812691096,45.062782196037034,41.225446080687725,41.904113243535555,38.11882039442009,36.249862805839776,40.63318604802075,35.2211046924867,36.92675953729157,40.71914098509635,38.26067293280771,37.802983166294844,35.86478708298337,39.47537074087663,40.7862861575597,37.12381078915544,40.513962454721906,43.98281263554159,44.99913466416657,47.306242064844064,43.197796904861846,49.44884656195959,49.6279400206687,45.39996440624395,47.19701933104749,51.26140850724265,48.591522421171305,45.25823062761495,48.16441095227699,48.05726498638247,47.16295761819856,44.042266917973954,42.594245627886465,39.233614971596644,39.098298020040374,35.347704878444546,36.204191706163506,33.83447938436869,35.503306415440804,38.79638286259078,39.730257785360045,41.81546011744853,47.49937076702066,45.6974112382537,50.0765617310935,48.46552350050306,48.038395917950275,47.91160406014263,46.04387481120866,46.5828922890312,45.270738757533735,41.033637079349134,41.597883860145174,42.04830695602499,45.675548434932935,43.49431926601833,48.70836447581181,45.89799582192918,48.736911709011174,46.827654709139075,46.755596759254786,42.83887676173985,44.107875825455096,40.48917434047948,44.04100278259281,43.08393659664387,46.96976587089152,45.367132302491925,45.83956290245043,44.52292144043884,43.77232718512814,43.758633583916705,40.6600819311385,43.60822975886939,41.17787014481681,38.98706947692141,40.42104424198187,36.64268935405038,34.41632794580698,32.72448524223437,29.509276092311094,29.348169907081992,25.928855473633458,27.48905866320017,23.909677105265164,27.248607539258366,30.01452522975876,27.223747221126082,27.44661920564914,23.11965575430915,24.665352342788566,26.814921830170853,26.304270866424467,30.88858887225144,30.92731559755852,33.515452054666675,36.493306104837764,34.542947113110465,38.72310346926448,36.4655806342035,39.24543039515816,33.39085989919288,30.7489507971425,27.918497490166928,25.17400743154355,22.23900294551985,24.418464794886468,20.53175583477037,23.74669853040964,26.067283611341928,26.657205408329745,30.042223708792026,32.294869048942,30.222433763021005,33.10821226040623,34.754437407757926,35.139678316368816,38.57612052657955,40.14995302970593,45.040374511211866,46.75084845120883,46.124590838153125,44.93513199364144,41.30798447161727,41.55611006719528,39.679970337493096,38.6549664937672,34.399190031240416,35.59722553362843,30.35838874755479,34.384606325425025,31.931216614572072,26.626253881181142,30.233626458361556,28.52466341990612,27.748181813906005,25.23937384547461,28.285647783767285,27.86468750528851,32.6776546899026,35.86671534230735,38.408396609049966,41.67926843813446,40.96457534343656,45.980332021668794,42.754183926018435,44.082110964127935,39.541098571637974,39.369842450671285,40.68053649902326,40.88819420860246,37.55855707574236,38.994749112092165,37.70323011532245,39.287870013392144,34.6131970900886,37.25559940150581,36.004998991375174,35.86647145421034,35.309413866674106,34.92851831929767,36.79276335956174,37.97403956708792,35.14327578790853,38.4810550863331,37.61417879855626,38.94179629699031,42.20612866882688,42.91029660282757,38.91249058422781,38.84604429644289,43.03988951740845,40.707215668628294,35.81067639671592,40.36126608238667,44.43369463182935,39.05439867303446,38.97666132441895,42.904310611152084,41.970686270042414,38.04487560028737,40.844676104722446,39.15478583768948,44.57171788275449,40.710156552833816,42.18879176976562,46.29205958000862,49.36132250405763,53.55310871397781,54.075372545653266,55.43392698013053,53.280159114473214,55.33159878888724,52.88510950678012,55.23631202836174,53.892980562459655,48.056573049781264,49.93149331059948,51.4060565292165,47.242571646534934,45.07666817151383,46.791668403773585,45.60141869752024,42.07826552750577,40.09211670486747,40.3218077270548,43.48803726959301,46.93148257627794,48.32139985914686,50.86917748482772,54.79869920869058,52.25615553866278,47.98794805463727,51.4021643553807,52.811494584391575,47.95934340518986,47.15624298582598,50.58498641837059,49.333513140782024,46.00561877120917,50.29330091214173,51.69353916088144,47.942666528615916,48.206839822676905,51.81448435239437,49.65142882374982,51.853459110854125,50.15218305743907,52.60757665823274,51.52528791206483,46.02043234078794,47.98826954322811,48.779243766869655,45.83859516420863,43.05450634224533,47.67450578835952,46.07950439530753,40.92774322524684,41.71935034801434,45.67443903595323,43.32136175634709,39.454078401575536,35.85274743535745,37.033190165402914,33.53325313441196,37.46749193286808,33.39157992480165,35.31447203430555,33.582438259263384,30.150917559124554,30.143963475487244,30.418433387173586,30.55128255815527,34.67868226225391,32.25377530659347,34.773310281603656,31.976991063983434,34.817521530505886,39.503439537543734,42.649490650695626,43.28462085854342,38.07302009072835,39.86395502353801,43.17937326249827,39.06155669703002,36.8993968243537,41.40814260528824,43.44952179490765,43.14137523184756,44.31986048905161,45.866340715791424],[36.446223071280826,34.07878574043885,32.94044921031029,27.612055019772498,27.619160275379205,30.787254408715498,29.53411791048471,33.58359999820682,32.30564266545513,29.751844995098054,32.22114996746152,36.233675218629244,32.373362067293016,29.44826364018929,33.63756612912801,34.661538207575326,30.289238242724785,31.909059501051164,29.577818415118053,32.654332486132255,33.10478643681911,35.94108676929048,34.569246584279504,31.725191854070236,31.14025642392764,28.466337865857714,29.147501980594544,27.964751132148177,31.855929713698114,34.85190160884352,37.799808032039174,39.77595621233805,43.66726090290227,44.88540696415547,41.97770816559699,38.105033111747446,38.89447424683069,35.053258618862436,33.25733540470505,37.74401783979429,32.297389006618936,33.839503622942914,37.68320695811396,35.327748906121315,34.91235364219032,33.12686144899144,36.7940577201701,37.97961179962894,34.421743306614864,37.98030398332716,41.29309548535421,42.34882318977959,44.54508860402366,40.35003243724662,46.544777373333254,46.719906883121965,42.43911933691339,44.14465581026967,48.21818351295973,45.607935157071495,42.17277224531283,45.00863109389202,44.864020059500234,43.985172321476476,40.88953752611964,39.413464513802836,36.022273765996836,35.8922794550236,32.15706756233859,33.08085406791263,30.725150731718188,32.45929963253141,35.684218564946356,36.55774338398919,38.63007524691696,44.29471678076803,42.48739406315485,46.873913512346824,45.28718082358144,44.8976747394577,44.83708289079246,43.06679877207587,43.6813397297321,42.48011233734051,38.23329154397204,38.66303046446427,38.9855187054163,42.621682904439275,40.33951448368477,45.55219245889837,42.72445510364396,45.55736793493867,43.696034736406325,43.687208610491304,39.83522184193052,41.16627264494131,37.626338143429706,41.1601059075476,40.324574224314226,44.36169603925611,42.57464572452373,43.26240580485452,41.78155660120377,41.28171089560416,41.341346132957625,38.409030347516165,41.543924106838396,39.306357826221124,37.25094889143742,38.46093885930753,34.72602850458648,32.19080591154096,30.441950573727663,27.063344419617415,26.633304421494646,23.129856482474388,24.47253764415351,20.82554402997956,24.044172597866265,26.878595849607763,24.145702325175648,24.5178460485554,20.27595718356917,22.045716086239135,24.47359321353604,24.060481747601916,28.99736205399123,28.930756605428023,31.678385144522526,34.470052996225085,32.903246404090105,37.07053063899411,34.70182157395524,37.20622072930709,31.413098626924477,28.622182616622286,26.254209669431557,23.08455817159925,19.89764612671783,21.79975871266873,17.6959366673005,20.840195411176683,23.02108146308444,23.72594885381815,27.08661374582699,29.330365535925704,27.354052010727266,30.337294281108107,32.16694641321748,32.66211436576906,36.276361677751346,37.84968533832194,42.76507541368961,44.58572782512423,43.73322201558134,42.44201335641748,38.72244651245289,39.0646041496292,36.97906576009397,36.15838843557211,31.835334587432563,32.77322055764145,27.62199180193513,31.619855051138938,29.42527924470781,24.305201788942963,28.166212191673058,26.74535089799225,26.171101007176027,23.363496229488195,26.336571578605035,25.579598938376975,30.254559550702346,33.331196671703914,35.73674469566733,39.02897366792442,38.161608673499984,43.21205156739081,39.99241100274098,41.45670645162018,37.00905092182639,36.98467141236769,38.447394075055676,38.74025663030839,35.31931485246182,36.52444363519469,35.018989866211065,36.80884062052419,32.14760642838014,35.01341812443802,33.98187851359874,33.75417986871143,33.498735247722045,33.21556019182635,35.21659212577433,36.64965072969603,33.82406270525583,37.24234642424075,36.56178993461869,37.60787279199005,41.14122883331272,41.627940188022585,37.59499239108119,37.93358481014331,42.11727708415508,39.6378663026864,35.05046049928026,39.73897864443304,43.59446730132555,38.26625564456832,38.48077164800501,42.41973083456794,41.26524141553178,37.574073938862014,40.66246019916125,39.027090019408476,44.44331431353246,40.87358421255405,42.03037288585911,46.12045494156984,49.22712480994514,53.49612529532238,53.93265529061877,55.0101752080553,52.714593349716836,54.6021022144598,51.92059109305003,54.36972773613803,53.2802980115967,47.321023362115085,49.01047884428683,50.74324162179469,46.70469969791915,44.304756076805845,45.94348458835956,45.155899627963606,41.660705712511465,39.23584643133791,39.49348062867859,42.22254111211335,45.749245079408446,47.18330234270654,49.50506120771075,53.47064934689874,50.70087393287411,46.58265210550491,50.179151786924464,51.373658704293845,46.46313558862647,45.95334251291828,49.368432920389836,48.04419168360619,44.90425773815495,49.344974514452204,50.68789433033115,46.963238904019256,47.47902739752441,51.13812240404507,49.03732936252222,51.12231115627715,49.24532598685862,51.83563955300101,50.99519277842658,45.39739446414526,47.286130883938405,48.37049515161814,45.500540650497534,42.54078934268942,47.318168645560746,46.04037646416859,40.780084877119656,41.408449033526864,45.628866962116255,43.534590715898894,39.604796017165135,35.944425176532384,37.537973791878045,34.08286085991556,37.9094494571983,33.60193497945553,35.12716657949706,33.1410104159979,30.059761864137272,29.962954929088802,30.472291363780403,30.263094347451332,34.15157252353935,31.278932559925558,33.54310743409781,30.480142531698974,33.50519112015209,37.93107374489146,41.20671551423091,41.58331640414738,36.45757589047973,38.58310522494856,41.743458018433614,37.359518363859564,35.59517112163698,40.24295561949409,42.05562171531365,41.64197666338678,42.673226858598085,44.1294107656945],[34.10966149808721,31.48825611326626,29.974684514692182,24.945954592860517,24.547859789157098,28.427109792883613,27.391067007330875,31.557430779525063,30.873787663186732,28.645075642009775,31.495982990096955,35.27163229477947,31.33812567520084,28.937207980482768,33.33932003803461,34.06357528682896,29.686630792579273,31.736535260674938,29.84655303630023,32.48699573409468,33.34589931905847,35.96920848170651,34.97117667236651,32.146503301350194,31.06706207684838,28.49974136112602,28.591013345637148,27.300364904106424,31.175729017653556,33.89922087638811,37.57500308609153,38.91898522622019,43.04568596382901,44.49222544669646,41.298816783649116,37.53421031267282,37.786170397407695,34.09286960609711,32.03184316796921,36.299043151613176,31.206039653268633,33.276820306123376,37.04920947319833,34.58792512384261,34.55911214952611,32.66114907232966,36.36105288060256,37.28131409346061,33.36119112664269,36.720867785878916,40.08568648285305,40.81515480858994,43.18524481824184,39.02449690168389,45.29817369630879,45.805455747509576,41.709707577323115,43.403384768317316,47.61592619935841,45.21574212259295,41.99262961201812,45.074762263461906,44.9083058069807,44.496199927593906,41.181288425172355,39.399723544236245,36.52960501490183,36.153962807948446,32.844760397824295,33.6400038552079,31.62140922214633,33.80926380066724,36.64126681898368,37.55842120628692,39.109057942032265,44.845964370416034,42.61391487204523,46.88664410701154,44.97645333769313,44.388817631278144,43.88561007456061,41.78664808665007,42.06792836391793,40.59835157214375,36.40917441821388,37.177090798875604,38.01513355274472,41.57921984751323,39.86041016997411,45.1706175094022,42.67855692159472,45.87987773195002,43.9236030878378,43.646592047948964,39.64818365688721,41.22046548560222,37.53815564380582,40.56008791224343,39.39474585256452,43.07138075926108,41.26463952592185,41.37040021598672,39.992950321239604,38.95781800542384,38.68632950124352,35.57360862975991,38.41259457117877,35.903322889915536,33.81688002326598,35.34811092185294,31.731773956094212,29.501190276027742,28.16489941408853,24.857875390570936,25.20761833902241,21.780419597487192,23.68621102974731,20.20524227301576,24.337310203991642,26.86448440408721,24.245912558874096,24.17942372858508,19.599816980120682,20.759734288599194,22.740445590733028,21.591942335481953,26.20372893581977,25.911922535993718,28.364046303847832,31.246222341144748,29.230749077570216,33.38131283933254,31.116819806278112,33.932655796383784,28.06559888047098,25.506479691652334,22.612759422633488,19.953498861084896,17.214703811325975,19.576303948102908,16.121180862552556,19.77660668166738,22.16563225273996,22.329752063617903,25.77476636463863,28.028550358378,25.82135137926214,28.68562508466154,30.119700806104362,30.751565109512086,34.025025404765245,35.98840170732461,40.71536825907993,42.837873493517016,42.256381564147524,40.78238309829922,37.153048500225786,37.054738816470774,35.28631650882614,33.841797708326126,29.496173290308008,31.003471524646194,25.6188026379971,29.70179467760744,27.036443329577715,21.6425648476838,25.115891173653043,23.5562970747039,22.551491194933796,19.972971973440647,22.98393816697294,22.68113659164176,27.588468338198307,30.855954430000732,33.54271072328032,36.806123233019576,36.381152630304335,41.26396321673441,38.000385298884765,39.144233087286196,34.54602624196393,34.230573272125326,35.46391334944401,35.70990726515119,32.42686847361545,34.16204621669586,33.12011359018101,34.76587152621167,30.36588676457925,32.72221794398988,31.33371094705207,30.94288520229535,30.223744697546866,29.697726970880684,31.51532084279272,32.713188350555676,29.849708349334797,33.22670189086159,32.495924466748455,33.792754127316854,37.19963803190691,37.94129466559077,33.970366947327165,34.06133107589828,38.32871517506287,36.11587156758421,31.379473187093254,35.99887952462053,40.089713211032475,34.96478728679963,35.062947710192226,39.0495675977277,38.1981463087765,34.54701682419637,37.46972985393712,35.60070649987785,40.997305114246046,37.07044880330098,38.20217682636864,42.33932107663763,45.240438222214905,49.59981019234501,49.85907099453676,50.968201221482175,48.6311632453199,50.51606868124297,47.92057876104509,50.24067489214504,49.07524205324493,43.18136156845327,44.88477411189564,46.474175032705,42.41553994603827,40.08311767527523,41.71859487568847,40.79897013247975,37.3163555450409,35.00811809768664,35.321585250844,38.27057567073555,41.75272279591656,43.26598123080268,45.74188965438466,49.76637859595417,47.179795626702855,42.93464093542503,46.53777425656399,47.95890414833362,43.12150632276186,42.4500453817195,46.037619746901655,44.9018284704255,41.64523650672443,45.946447340531904,47.5043976154065,43.96181419895933,44.197176449167344,47.75017179931007,45.48052249591104,47.4445244294521,45.51982541551319,47.940907819853365,47.14099788794059,41.58743702091661,43.30569184074271,44.31370697228034,41.50707699667163,38.45357785626523,43.103343298273884,41.85331586868934,36.627929255351134,37.133624133115546,41.31063857832419,39.274614726914,35.367748489404015,31.831087262701693,33.39742293992386,30.103297922400824,34.05483088931882,29.88817546229235,31.372961613060674,29.72258080644383,26.561594545388107,26.165985514348357,26.442130325210893,26.129341228604254,30.08096189193454,27.465539694228106,29.72810857267278,27.014421413778674,30.173834332945972,34.70803487319109,37.95758521210687,38.6443443146321,33.53700421652313,35.54828634273527,38.959380230609185,34.86878132478477,32.991234748166,37.570394179936244,39.6936001594514,39.553668418465676,40.75490902995151,42.26831240260719],[38.36886096202973,35.7875971859651,34.339103600934095,29.48779507881076,29.157125954948434,33.32515400218761,32.41074280810283,36.59091478745247,35.976193504289014,33.71015534009557,36.51554317737444,40.31297044859716,36.266961733986065,33.85309211635186,38.121065985967306,38.80588785112125,34.31625213083361,36.04839891548803,33.69350415073799,36.26509725272719,36.69590314723981,39.01898146913174,37.71707428043382,34.59086120727824,33.95013295139349,31.8030806444115,32.27485369021239,31.432292124680814,35.493062782499265,38.446296800583816,42.05474075261693,43.57463241275474,47.68714271341166,48.894955321568006,45.6669092645091,41.76143812587364,42.142553056124115,38.05220095441362,35.81776683516368,39.65573784237313,34.2778403600289,36.58090641959934,40.099162215556596,37.29152865296695,36.82065161856174,34.53267764008126,38.02765279861592,39.484991824846496,35.55567088747175,38.553260458003116,42.31261902756351,43.227949916434135,45.78348454323877,41.96003327568984,48.35325574903452,48.49722915400822,44.46894801941033,46.61957819414313,50.609589615107055,47.78431523170526,44.874552097330486,48.18512883932121,48.353778166225766,47.57232230995413,44.159327998709024,42.78343321647237,39.983525174315574,40.02906387453391,36.679232127509124,37.835028187705454,35.66547831843427,37.6525990547269,40.62863893313936,41.21384564128173,43.09373687709036,48.61720584520131,46.35528520412541,50.755589150909834,48.791583497448734,47.96682465094738,47.70327113955098,45.38784983759557,46.015806685525405,44.26514811569675,40.026843214446316,41.108892503877456,41.7945031679983,45.66447697246831,43.80290685563569,49.30144508576714,46.82116328253888,49.95143482799602,48.21311857044622,48.15134700020322,44.290508499800104,45.8986002976251,42.32210040824145,45.39203351669644,44.33518747962644,48.08327497336053,46.095494462583495,46.21271716796834,44.62749269279293,43.58187326122172,42.93103978438428,39.96460085186222,42.61604062761851,39.889853668659455,37.9832989999384,39.769205206707944,36.33484360495126,34.15710411109229,33.07790156279078,29.682962901965617,30.097981462886263,26.56944368537751,28.20639090158484,24.474753506226385,28.177472289455967,31.159308425555032,28.687790051810563,28.92279279557314,24.441537175041823,25.76333436256543,27.81126305178266,26.448940738293405,30.989862852664054,30.471197454002795,32.6627534865073,35.35817042677571,32.97597020246103,36.910514220044,34.42714805515009,37.601582280098526,31.710026875320878,29.59901133508389,26.496799336258835,24.19506602013267,21.707383157044795,23.852853286327335,19.998197004919408,22.95459927630954,25.842562649039927,26.368269689447544,29.591940435058824,32.277216396303565,30.274996557743304,33.361387782361234,34.84881315355268,35.69350596817289,38.92439825720717,41.025627718850345,45.6983953667978,47.90345774438607,47.332520398011205,45.78717431361587,42.123954413266254,41.928329494329816,40.07637049273759,38.46905796194357,33.884339260133274,35.270442493400964,29.671046383052342,33.44599450559661,30.361012824073057,24.80694133337517,28.015133454961695,25.76855760075246,25.103928712542867,23.126587108613,26.358042324150887,26.502427216545193,31.305261152252296,34.73593261887346,37.59240594136005,41.03430277545635,40.805999596753196,45.51148536981486,41.96946021192234,43.060860067074266,38.172975691381545,38.247922524349214,38.937469863265875,38.79539830578119,35.601243332051425,37.14182538273514,36.22775684715531,37.268132818534575,32.54306190170321,34.80859817652634,33.286713161488954,33.430666713017445,32.623227834128464,32.37678255807191,34.250645809133516,35.37296295854168,32.93669767734261,36.40051463260855,35.81327398640327,37.562900129229284,40.79046413466766,41.92366212426288,38.05637282853355,37.76676976280772,42.11590015544357,40.23526342262656,35.23654144614788,39.67234708020494,44.081072825165485,39.06569760283553,38.86484851275955,42.85216463518214,42.32772455630416,38.4984380199435,41.06268060929811,39.029459872762835,44.39994807469984,39.88458925105147,41.36662044075619,45.5454521522528,48.18187376963342,52.53722638431008,52.67584430924528,54.08219209162917,51.782255282629265,53.721756063377924,51.34003035614245,53.335621922557294,51.97184435588562,46.302810260308476,47.992988876794115,49.11610529755451,45.045266380388156,42.936867386317005,44.35718778553182,42.98723295221047,39.69220159088841,37.65633501646737,38.38539202642141,41.67932785230872,45.09381017342881,46.85197322108888,49.528154324544246,53.655800817285616,51.27649906670782,46.919739149559746,50.53510533765535,52.20853211088129,47.45886197722743,46.60296307462916,50.31974264759554,49.33460703346743,45.93785643779272,50.05596709971018,51.767977500083624,48.30023490423373,48.23159219932795,51.67703948183593,49.256895531525124,51.20295976097377,49.33738244051334,51.486828707838924,50.587025270706356,45.16817590726181,46.717663949176334,47.41991544555915,44.65390331661395,41.61481467858022,45.88397870604007,44.40106348766761,39.37972013611923,39.76236745727971,43.54435626679422,41.34322047175789,37.594408492897685,34.38585815990043,35.256898858030006,32.16074166943414,36.433610318464844,32.74205250197416,34.66449263756963,33.498805815542035,29.94709475078303,29.443598386022003,29.19553490910903,29.11713050340778,33.3333153161271,31.320188801928772,33.583081047695444,31.32223315805461,34.55997288565736,39.185098034379145,42.38823312165336,43.30152089135209,38.21980884259567,40.065267232861544,43.63281667514029,39.73514827685854,37.677127337583144,42.146765026344326,44.4578383088336,44.40779445674705,45.68054616865783,47.20844988461116],[40.41734336761765,37.78491943697863,36.15199891061633,31.17486602157196,30.40820542293069,34.33216240014163,32.948617560118194,36.893546017477846,36.10630076736174,33.38680703595467,35.983707783044856,39.829994481861135,35.47861935589495,33.01367077441066,36.9430957504175,37.560380856848404,32.93071638519808,34.19852395305877,31.380768091030337,33.95101587579585,34.01727466201786,36.22092285688045,34.700485782006474,31.46900397410036,31.136597051053567,29.17752632110502,30.040572296567984,29.561195962523943,33.762563406598005,37.03094086728103,40.36730922158507,42.239420237740205,46.25351944507467,47.11322233042088,43.93699493171169,39.88075560908845,40.58019760912289,36.12233418812275,33.913731286544646,37.64202779552308,31.966256026770765,34.11479971756929,37.534897817776425,34.65965209803542,33.88697274117111,31.57655393201074,35.01497455181232,36.69436715996058,32.97717892387672,36.02894499282076,39.80713298244605,40.96725382704156,43.44522116518741,39.70702180524236,46.08424431257572,45.923036032144594,41.83023278563658,44.15444148875122,47.98295004111296,44.9275552862137,42.050228921211925,45.37298078428509,45.721341018259444,44.647310544425984,41.24065021061065,40.15093985077982,37.31111391518612,37.69244960103099,34.32601498930476,35.84567584330828,33.584704229059625,35.468292308467475,38.44802812057912,38.69408927844497,40.82864164107675,46.136432176898026,43.90298260624104,48.40235925188933,46.48476422704587,45.58164096095515,45.64534935189571,43.38093815811314,44.40626393957204,42.67936639846312,38.38229789716818,39.4214275325899,39.73848851633725,43.835497740123074,41.6550460456509,47.25407834856983,44.72309078567944,47.73911826914731,46.243271526840545,46.45596721657028,42.82059646235106,44.51121335799966,41.15773749189335,44.275737274598605,43.51531190825141,47.57204236745535,45.19691998612717,45.72478246637873,43.743381926667055,43.14759634188217,42.417439840148376,39.82059261011347,42.695159861045155,40.1734949004494,38.58179698522053,40.130450394516686,36.84471875631493,34.18594088674827,33.12807531667155,29.424015118937504,29.409733282023716,25.698395355099343,26.779356280518268,22.790710877166365,25.917998211717112,29.323359344121616,27.07052200150295,27.759142753832396,23.535628108522133,25.305569012036816,27.823345170767695,26.534730851346986,31.60472557025306,30.820786867521814,33.14934609661036,35.44190538976039,33.4989252391261,37.30261090355757,34.48726223012984,37.40357990287064,31.585733110490573,29.474124626183112,27.025818460905125,24.19495224950018,21.419409206602626,22.966689152982482,18.45935619044175,20.75160955937486,23.7714399097528,24.77117753645794,27.785850405211033,30.754247837167995,29.06655428781812,32.45618741939695,34.29734112473307,35.428482949176434,38.93994917326281,41.07362598586647,45.77320724305598,48.147669787086144,47.21105544738111,45.49641551862007,41.66680097684664,41.60738966204697,39.346866082758964,38.02423582871588,33.18154094821979,34.019614676715925,28.4359314007953,31.950639366618443,29.047343421421125,23.69771032778051,27.218252655485212,25.02098546931258,24.974870488992465,22.824097880474504,26.088473224544913,25.916944244077957,30.42249038775217,33.76491520493932,36.48605195863436,40.08446768019759,39.691047145615286,44.355227783219505,40.64477488210024,41.961469144590076,37.04671101523454,37.64701819020323,38.26721760185379,38.02211501202714,34.707143310964824,35.66975798480077,34.428930633464766,35.413194292358824,30.433502207791676,33.095702601375116,31.904083016272082,32.27782430698222,31.986459430880405,32.11626081859158,34.284721662261845,35.81351566786354,33.63296637897165,37.29087437385132,37.08061443205907,38.61145622634691,42.17978233657933,43.15872052296471,39.275159509144075,39.4273533228479,43.80137807736357,41.83002298503243,37.156822497798686,41.72482114156141,45.95086718819087,41.01701211040394,41.10195461427053,45.107175692892525,44.37755783190396,40.77048234470412,43.60008298811529,41.604493260556566,46.977683293652326,42.65192597350701,43.85379044258619,48.03296703957422,50.63367533889495,55.08455353425288,55.07232584360823,56.21597373526354,53.72934589263121,55.45482602337062,52.81653144230262,54.8065200554332,53.73287944008807,47.980833997715884,49.380398771028176,50.66921494903409,46.78340876929551,44.423358274188985,45.60768187876485,44.63855739050563,41.48522933361222,38.89219497281885,39.884137348962646,42.663296749756135,46.18237496155371,48.13510501489419,50.55692199202429,54.79404845338203,52.15289616683427,47.974210800072775,51.87707161701619,53.33281609356118,48.524931648538804,48.030074843199216,51.77409353507508,50.73003508302654,47.546362622549275,51.82207723115147,53.49715966688418,50.06830634486391,50.25260592174436,53.74208693411282,51.36077465399636,53.15255223114972,51.06538563321744,53.30292318347335,52.69873750635581,47.19700664058151,48.574349884505764,49.56614579529143,46.9093386870271,43.631002614152976,47.96547036108649,46.82643866482615,41.73659464805298,41.83752930241827,45.82454440358696,43.911654986390396,40.14414098173924,36.98101030106827,38.12460929537618,35.147524036813024,39.393896753111804,35.55925360094021,37.14142903417425,35.78271937201869,32.53447137910006,31.911772006971788,31.80071308170527,31.35677271918581,35.354447907626174,32.93334566964332,34.823230334947695,32.34533413046514,35.89112234281053,40.17947046981781,43.561221587517046,44.17084463381365,39.217497528107316,41.48291570848366,44.87704468589687,40.648462460700074,39.078237911297876,43.707460672542965,45.74568781945749,45.55040562412101,46.626703682944544,48.02379564261424],[37.95432964458973,35.116561041598786,33.053801490352605,28.213855262097187,26.745766188262333,30.785779014787995,29.12123636717013,32.89262593306989,32.38396694811573,29.56767541078074,32.28111766772562,35.953196146214175,31.372046601419456,29.28761166372197,33.15641279461544,33.50587140651666,28.82525330453265,30.22531702645534,27.650425460724772,29.917437766619145,30.28963054275341,32.425097255450794,31.231980661549315,28.117572566545743,27.32115825894016,25.32339181649226,25.7909194541165,25.266959856167478,29.478201111191794,32.66452510830371,36.39225718864295,37.95108057180072,42.078011285907834,42.98027448803006,39.63654174968202,35.62257529501942,36.07639794676807,31.657098561838648,29.34525840464346,33.0705930471273,27.588548142877027,29.92327675005906,33.38220315453507,30.568589786433876,30.169483262483304,27.992813517514396,31.57262114648327,32.851607812989585,28.976153136890407,32.15446567865478,35.75558436586427,36.72359719890922,39.1776449616149,35.30822675130751,41.68822978007096,41.78937523664301,37.74390908947495,39.91465990806326,43.88109516241917,41.08223290798401,38.19388345988792,41.59450921211337,41.853114488578115,41.16194014164059,37.63373466643518,36.255916272752216,33.752879213918085,33.9409839987223,30.914840307857077,32.40661535251668,30.422949561295482,32.70210698233233,35.2990788871999,35.52421408787654,37.24608892343436,42.58544045019958,40.0501760130132,44.46739652291779,42.3564770420213,41.37555142334333,41.19272476021635,38.824999074668966,39.6982259598464,37.92880127669815,33.64937836341418,34.751943362274325,35.278945663901474,39.32962791594413,37.427645455290424,43.08283402722067,40.767338113929036,44.03263533402962,42.5155212696122,42.606023717900634,38.95471514982224,40.87482657334721,37.53304693928817,40.26256907207368,39.42710525619444,43.40328286891589,40.805593530304826,41.205647240627734,39.098078834151266,38.45816429600189,37.602607215469064,35.10576486714371,38.01597873868701,35.574885387503016,34.1480473819868,35.60879368103457,32.483643811588564,29.639630444154186,28.81143476981815,24.966193334783355,25.14379229190545,21.403386625814857,22.55872228032826,18.60509818364852,22.231013888644803,25.491215002592426,23.43004676603693,24.003548351517875,19.734386346644992,21.351659633251952,23.89328608128179,22.221203658943487,27.4754722049743,26.38737273431623,28.698668236399033,30.777128455244327,29.05560018027986,32.813406400732845,29.91951090945096,32.67239456740797,26.89015520355356,24.75791377317247,22.619947743084673,19.5709394144916,16.806485641196517,18.208347769854985,13.788144212965035,16.310561829856944,19.37249992091839,20.149303108372102,23.185346216714926,26.17807492790932,24.469463128053395,27.908844313505586,29.709731945159874,31.084380564190123,34.56644907417695,36.94426470523257,41.51971783075821,44.20643076051643,43.18041768547278,41.23361194163261,37.37228894976563,37.13483836440267,34.83348352077838,33.34977066995556,28.40608479895447,29.29056858021483,23.6402582331718,27.17354425592438,24.255924433538812,18.916462666151933,22.555668323456477,20.651176060205156,20.618222783329703,18.198341814906037,21.410675869957405,21.098267958379676,25.574454505769868,28.911094584128993,31.654927665635743,35.26421711328163,34.98086888348843,39.57329167117722,35.8432753260247,37.11680636391251,32.213851687011896,32.80942179505805,33.47669312315552,33.3210466407957,29.96266700193876,30.995314923649058,29.789547737321662,30.97388617444391,26.17678491828018,28.800112613103153,27.64860552385621,27.761403849484815,27.564879041208204,27.661490223683376,29.899295994097756,31.615368373909476,29.417560654210536,33.14211566258934,33.14366711953396,34.45516117254721,38.2657356346511,39.116568350331214,35.25481057775011,35.76543144985533,40.139856121974304,38.160409726274786,33.82812732955333,38.47651838632649,42.5372492681744,37.82786299527376,38.195916185582995,42.20265936610242,41.389183040338615,38.1185478880078,41.16711913969373,39.12859051909553,44.4403963575512,40.31846119421952,41.10319437012708,45.2584243747063,47.784093810214834,52.35030007444208,52.14947289027516,52.96058397676251,50.29239103617877,51.81308533574558,48.94407227257902,50.98840607123728,50.187516610357406,44.33719959265753,45.51643444256073,47.05753598197446,43.32487121665269,40.71769925050313,41.81482604717339,41.29353321974694,38.18563400503712,35.113995441735184,36.155359826816465,38.49330934900823,42.0772715834316,44.11426626468785,46.33702894528009,50.633565377763325,47.83153745936211,43.777540242648705,47.88627989301472,49.20615829626345,44.39367159021377,44.162347629933805,47.96819142303021,46.9532051785915,43.94717245198663,48.297783498950686,50.01702685878912,46.74698740488803,47.06752570464618,50.536635161577486,48.15082628657358,49.72594741566108,47.412641967831576,49.71163791144669,49.42321019781523,43.86528218613836,45.04715329952718,46.35264577146684,43.83041272093051,40.31084515770382,44.7517212881993,44.025700899355414,38.852787860187576,38.692471533564394,42.970640347486814,41.42166768920047,37.611975297200196,34.46187916338648,36.10516310709829,33.288325525066355,37.41006551818971,33.408368803037476,34.466226970920914,33.00775083171612,30.18550321431404,29.297652934144594,29.347720849094422,28.426211408455845,32.103641413160325,29.301035137788993,30.833183913421955,28.26646774909735,32.09854379502942,36.08322317687601,39.5830905601504,40.06306565524894,35.26930712232733,37.85271463055232,41.18143166224875,36.8524999153734,35.710575820632755,40.41238753779287,42.34900518228433,42.197861126506496,43.1977285608863,44.514291952400306],[38.45804509060829,35.53943977550733,33.41481660938035,28.94941139751339,27.565824431085886,32.31462538371548,31.14858146333467,35.11870251049683,35.06947972844826,32.704125688612685,35.69131429030141,39.21255238185867,34.75677675940792,32.959053481066434,37.041985182259914,37.26848779482567,32.652794846699706,34.34678761815992,32.016988817984675,34.00131204245938,34.515548643947206,36.383705352532914,35.323143768188075,32.12091877852052,31.201736002382518,29.46582843624879,29.633888463106825,29.125162216481822,33.28981298170836,36.24538058353096,40.43157277195068,41.55263125615447,45.823341658176645,46.89859512966693,43.377088061315916,39.45595382467262,39.51005424540232,35.18471521126335,32.626363705780165,35.937767350552235,30.723962267741378,33.57628898095007,36.827007723658284,33.786222803035486,33.47458012469541,30.99049760828666,34.41579371524381,35.78819244510962,31.616171538163194,34.32059203684769,38.200904800678224,38.95060847637094,41.672497450076335,38.06009081171462,44.51974289814614,44.73519066694251,40.92067486604861,43.284720051646154,47.23567140575613,44.41444051890091,41.873290809976936,45.52566463843225,45.8908113276108,45.37340215144407,41.69365580847024,40.274078607716866,38.12881998176084,38.26142508697285,35.44651436978844,36.8555620570591,34.99778770510137,37.39191542271704,39.89571932067483,40.14710452727169,41.66525782255189,46.9987161397545,44.23388582603836,48.58394844914876,46.25566440932184,45.06315070874234,44.6055151031852,41.89335275687738,42.56755488436988,40.447261530378476,36.246057723062535,37.78033745901549,38.71262640964891,42.75160387963011,41.26962694226042,46.99193456539379,44.9034090130992,48.35434258131237,46.78972753231737,46.71465123478557,42.95819725316266,44.95213169186578,41.48263198708615,43.952202549871075,42.83781762513319,46.46117851844788,43.99162467460081,43.827953508046065,41.897608247394544,40.675947188205974,39.418090690876916,36.70840390787727,39.155383977672365,36.28221099935613,34.78764386213524,36.75772486738751,33.75787238409132,31.44994280562612,31.018714260472706,27.40121691800016,28.31148789732241,24.73176361696258,26.354148426213072,22.592481980417592,26.661440807753777,29.72580037373916,27.679356441393907,27.92321016801931,23.44270103955586,24.542133465549977,26.55260332962611,24.33902390858083,28.960801996443433,27.766375832308196,29.60989797732754,31.83909416431272,29.310899737242277,32.95221203538993,30.172627778591515,33.534068985663126,27.689606134736923,26.065800418600226,23.04953684698017,20.981184588860575,18.9320247270738,20.830956514398952,17.139131123880837,19.791014967891748,23.10974652231589,23.5030494435744,26.49440009020254,29.539704944781263,27.66712843874968,30.933890211695328,32.30391740700248,33.691742141407005,36.75638425253637,39.3991400838782,43.79907216640586,46.586051368827555,45.94009971145209,43.965605997195944,40.255733952116415,39.63447915661757,37.725027650788235,35.62038576283764,30.71652412431424,32.18293240223077,26.33565686293987,29.801882939968323,26.220989153809132,20.56197350583297,23.447770636026426,20.87427896234254,20.426943063655532,18.81383690828533,22.155817241560253,22.700699919085274,27.35931387974215,30.942482983532972,34.028428921419426,37.61079136924568,37.82237470273775,42.18361760930358,38.369179409213245,39.26594418901474,34.124399070976516,34.49493846333154,34.6561057584837,34.2411973608086,31.143805607938592,32.71405808080204,32.11274655627116,32.76687448101038,28.111997602607822,30.04850418816233,28.359518289488207,28.644431688733768,27.749056250791426,27.67341432366801,29.644818509920523,30.904622518384112,28.87188337855319,32.51608983830817,32.385566988971185,34.30849704527507,37.7107273015898,39.084444129834054,35.35611273869869,35.19717380673498,39.65884641711119,38.12996623770192,33.36088510071971,37.757042995300225,42.269790699670175,37.72527322448946,37.669096487175736,41.68719373828789,41.383677650336494,37.908463563775385,40.477173625935286,38.17185868264041,43.44164864341666,38.60959282055812,39.75222803043282,43.959145804325246,46.18495778004002,50.7540792568399,50.42979939078284,51.597955183931205,49.02633315494024,50.69203157224098,48.166409556561355,49.89768356228726,48.75728045318019,43.15639995417589,44.48575972275337,45.50873592895655,41.66060310752705,39.39024455646064,40.449117222953674,39.30197766670308,36.26895327536296,33.7609265618342,35.01174928395886,38.01913426740749,41.462175058667796,43.617595967430915,46.214653665500165,50.55195974868696,48.16038280356013,43.85964152203584,47.813962072477516,49.564859021867285,44.901366897188225,44.24372386641364,48.219558046640834,47.45368456183336,44.17199200925714,48.2203297747475,50.189551339639856,47.06114154246644,46.87516398233366,50.17904709150718,47.57139138787566,49.13796552988637,46.956026390220394,48.91040267462685,48.42592828701065,43.03953389602688,44.08226739421659,44.975112646524174,42.470573620530196,39.02409063557175,43.07389608541611,42.03464920230545,37.0669061008279,36.87079051522649,40.7369853638412,38.974370965036286,35.30417690082764,32.45648354633112,33.46569254232143,30.85691397634669,35.28659656281049,31.78092909380474,33.26977978178673,32.4543626871092,29.178414555531255,28.085987358856013,27.548781805897203,26.89545695673186,30.904394878347873,28.92340192364377,30.65487991662628,28.770483184873484,32.53707483906382,36.82725349404463,40.16330175158649,41.15351695679794,36.331846716390935,38.48335174205784,42.15021448678188,38.322594552675966,36.71428094696479,41.20183377840525,43.58613378829397,43.72780305205557,44.97948930192575,46.40986999270496],[41.573804931736504,38.754741802742934,36.824341908084705,32.367015322462436,31.28115368039976,36.04360300856369,35.00201126838081,39.03085479442405,38.88040488533421,36.50635926728143,39.423809469045956,43.028942128695306,38.5970233899618,36.63931191150522,40.684911690213184,40.994767987337944,36.344296277777325,37.84347995696951,35.22184416590721,37.28815973084092,37.499085195932906,39.25401719486533,37.94093127406795,34.57491978494887,34.02733796146003,32.49295136627856,32.97998716254757,32.6790902534756,36.914033213620016,40.00700276265531,44.0041619481453,45.330586738767195,49.548816832698165,50.49330093868234,47.02253111530088,43.02289727912758,43.23938408806079,38.726429587384494,36.149258799710296,39.26854503602602,33.869439861961766,36.72351735027342,39.83492209717224,36.63404144167145,35.97868393243835,33.2896880977295,36.54173674160753,38.306409874711996,34.229296257611765,36.704146992019744,40.80373316977309,41.71922768828202,44.51270132226328,41.12163571152256,47.60393840999122,47.54453060677308,43.7570698957624,46.379941605034546,50.16199586203068,47.055379617856914,44.67160013700942,48.39029928449176,48.94331713690726,48.11921415925736,44.44610712604967,43.32029728785454,41.08897287420093,41.479089638637525,38.52925408990352,40.106567011105064,38.086875451938106,40.26238816840346,42.95541611382467,43.06427116811139,44.87038111511798,50.090888799019396,47.4209261118052,51.85460257251563,49.575194057316075,48.305998128055826,48.058135321086226,45.300455705522026,46.199769646822894,43.98531947271704,39.771026490224976,41.39944549496833,42.16436820773196,46.35218356971689,44.693013292718696,50.47322116038253,48.31185355476218,51.63930458796154,50.18442503116603,50.25415921133205,46.56741262114645,48.497990792207766,45.07243288874433,47.709134364277794,46.680534537526626,50.38099349867761,47.9022384628396,47.817599072229456,45.83183860715838,44.6554895565291,43.29692623800552,40.64179721106571,43.00737687015817,40.04646901154214,38.58681984819071,40.66137486516364,37.686052873495235,35.44318036857776,35.00411452632533,31.396284782772337,32.204765904738025,28.585579146301693,30.045025309158156,26.163029308382537,29.853004806241362,33.16111168063808,31.102875538845982,31.522726133341877,27.096324445810268,28.35200583923571,30.419376813425227,28.322039347873442,32.87873880011789,31.724423404036383,33.48871052041812,35.691435232284846,32.99351772482083,36.523738716263225,33.690151710213144,37.20879753264288,31.400717144769715,29.95967541680482,26.842409462213936,24.945277133648396,22.93413546410163,24.748421420914372,20.830668547552765,23.08198333375711,26.543927776010428,27.193361248983436,30.072989368453605,33.2747835792534,31.51142222168862,34.85522977905706,36.28809682062378,37.67071608406487,40.751087059008206,43.34666967452879,47.775016121337785,50.48374419414201,49.854254182803906,47.93139715683557,44.21047633473092,43.63265969778069,41.68159914479518,39.605893084820394,34.651851211392284,36.00324864591207,30.131561431056447,33.438084978287705,29.750123506553162,24.12584340532392,26.855365289127192,23.9444344048188,23.70875569891604,22.448734621637133,25.82462061310829,26.53402512342078,31.0901829171337,34.70118382943017,37.81418030990342,41.459598056076814,41.691195933698154,45.9973442563864,42.07819537645612,42.9830453211968,37.744134012425604,38.30986029926355,38.229129000717116,37.61205696432389,34.58730217841964,35.98745252456183,35.40461929083468,35.711797474736784,30.87216348666753,32.79159361445474,31.07321523550766,31.715135103614546,30.799526995335572,30.891447208226438,32.85488729870226,34.02049119497683,32.22231503049069,35.84435989852632,35.714129747832004,37.87577388976986,41.10448746447011,42.670831363091956,38.99496009067005,38.57047301983302,43.038368345671095,41.648254771687796,36.68469463239527,40.95739865369864,45.63307020454487,41.06567313157675,40.794957113002354,44.79710037934652,44.64913165938719,40.9932125910399,43.33701105485339,40.99260892502096,46.25112268143867,41.12152214989881,42.55571670582166,46.76759358276309,48.89172235021264,53.39879932592492,53.08482918407264,54.495033633864644,52.00938793766279,53.758244664265845,51.414385962577164,52.96964214065354,51.655630996475736,46.22142575415819,47.605165779095906,48.32222850605804,44.44593689606183,42.37625334452334,43.349230572643485,41.85315964692764,38.92700516308411,36.724548457261804,38.13931417071338,41.410840201247495,44.780608749886,47.00800383987329,49.74072586795386,54.088939380713015,51.841957670369574,47.473174942694534,51.353697016199604,53.2460535062834,48.63178922369223,47.81878009111841,51.813239690291084,51.09751651204527,47.70965505216469,51.6501740184827,53.661005375055666,50.51208969836189,50.16089743838647,53.420109762577205,50.75896704491651,52.38666380452202,50.312994628041324,52.12247254301146,51.49153951831141,46.20452385877287,47.235631183859866,47.88382986064733,45.36545064337688,42.02809324879347,45.84366576581813,44.566233664235085,39.75488896531679,39.59303996378419,43.14466110129222,41.196240559230716,37.646743384584354,34.97042533851126,35.47750769838906,32.93045629931206,37.50524548196523,34.291595933722824,36.138710115171804,35.547360081366534,31.989401192108975,30.97051224937065,30.175929873583087,29.802678034951914,33.98859906306463,32.38959300140787,34.23017659761918,32.54381885631719,36.21524399005482,40.62267532921695,43.8931264317832,45.0013067747463,40.14433678226148,42.12621211351117,45.86085202118931,42.131159783978184,40.31669665814938,44.73677425492007,47.21560930238665,47.36568901066783,48.663799635430735,50.12459163871994],[39.132061605742095,36.33460421678742,34.505602761674034,30.24606984098287,29.456887340152342,34.44534238341992,33.811659007460136,38.003643393858006,38.05561792286196,36.09898125693816,39.20088220890502,42.71951511720161,38.564392927811035,36.70745975091243,41.030695414774655,41.37411469154744,36.87116146100272,38.80458417110575,36.64789679310287,38.70257674685088,39.29412468043645,41.18983738847257,40.12170642109627,36.89639445722814,36.00501110843725,34.24899449634283,34.336632842776446,33.67273953228216,37.75071987123991,40.525882540818635,44.79091750031895,45.756573678412245,50.0628461711642,51.34074095651542,47.819976048315155,43.98190013224794,43.881319426548565,39.75409267724239,37.175875305396865,40.43156163635529,35.366582643896905,38.32313370303098,41.55079672697602,38.4697921500424,38.1604736636083,35.5692391583008,38.90509159058902,40.36721247758249,36.111440126956495,38.59394254603188,42.59250766201958,43.2442087742406,46.07246610457118,42.55931803954356,49.02466454753809,49.30808677807794,45.577481816702544,47.96911629024693,51.9285365813324,49.106081433176094,46.64896709206099,50.32580727199174,50.671001493231344,50.17522299369911,46.50350883530349,45.05903921705296,42.87159720890191,42.91168345010153,40.005158982922566,41.23350668082472,39.329426192304034,41.63814639597928,44.28334248522186,44.714389150415165,46.237271270584685,51.667877437927906,48.956763709155446,53.27820956657056,50.95211860743546,49.77736249509355,49.19113788222343,46.41078940555151,46.894812930769966,44.69106177736925,40.55394164587698,42.1874313489079,43.31379183716237,47.25001729803925,45.916050867970924,51.58074421686874,49.484013631416275,52.93516453949333,51.245800319913805,51.04272922042931,47.152519096923136,49.02571442973383,45.40700022693554,47.947016308674264,46.63963719895677,50.03053000823913,47.900194596964994,47.420155168561294,45.80857843113015,44.212096488329834,42.94191834951335,39.949066832425515,42.09938031011728,38.9704979102665,37.22394472386693,39.50337446876107,36.41972133629009,34.63042435659564,34.20020704576254,30.897385011507208,32.111255352975355,28.690743081722175,30.643262124052054,27.029589125134258,31.246784412004025,34.138452369614534,31.90710794576793,31.911237066805224,27.294953067261584,28.125272281735207,29.747879814534066,27.55402573007667,31.583191359657793,30.65056730049544,32.26513476061274,34.82438242970338,31.747108687803056,35.38920592266627,32.90691391484093,36.62274210514868,30.786799005866143,29.337862300151237,25.64802219331313,24.269841242064086,22.564863211953984,24.893859308403794,21.638117197780627,24.513215000506356,27.781364116200816,27.97177537091663,31.03730505038638,33.93037259880682,31.880815856728415,34.91718755190868,36.008227241630536,37.136794271394585,39.932260686878735,42.51285767763163,46.8782307294722,49.45890465099297,49.160990582449415,47.37444303119683,43.82174757513514,43.10207326593356,41.53936875717263,39.19940273568809,34.52140633005662,36.38339819236633,30.54929804176711,34.09948043872825,30.310569696259364,24.567541229009233,27.000361507612578,24.163842606254775,23.272328758856993,22.143501664145923,25.424249618049952,26.39540988995679,31.19461760708103,34.84947033939633,38.059068060687615,41.52673909762059,41.90708332551114,46.24133623681271,42.515520882906294,43.20609038824603,38.044048898702,38.07564405411422,38.10635810060497,37.63445494110898,34.73272995328063,36.70228970677609,36.41446754300238,36.864074649536114,32.34169267641086,33.89421100269387,31.89197248824772,32.220107885251494,30.820509453021653,30.504538378929045,32.158414268276545,32.92667481920862,30.85146069461191,34.26372275171536,33.77438798493463,36.11274509339533,39.024394516916736,40.717913987280944,37.076102382897275,36.26620018089177,40.69620386054393,39.40345990644621,34.1915861155957,38.32590312961722,43.146453298450695,38.559819691663655,38.05287596346762,42.025265216531295,42.07377570370158,38.27818158037663,40.382435550132215,37.989380845545554,43.21959720095512,37.92786324805443,39.56752022209655,43.77021590117179,45.910064428948296,50.34003411637925,50.14358673067357,51.75719686047172,49.43023982761353,51.35941554409574,49.234930810476634,50.811761326092764,49.25365475126041,43.886956245833915,45.530234519942205,46.131201849708575,42.0914083407472,40.23852747061439,41.4466964991775,39.61980916862064,36.548703909877766,34.850656000545285,35.98913377446211,39.706013318015586,42.972101574826084,45.00385121273755,47.950311493471226,52.185506832859055,50.17338419235059,45.661383871383094,49.278146161917284,51.35559130222948,46.808905913972175,45.6863536203852,49.652563779816404,49.0006513124514,45.44483402032965,49.23182164024736,51.28227948577192,48.13285448328826,47.556325501218744,50.759853773288484,48.06323685152298,49.801991298972595,47.91318309613307,49.64391326096507,48.77331201270918,43.567761077765915,44.73499814298699,45.145632556669845,42.54362360240936,39.409112507495685,43.17402673868919,41.618979898578175,36.86504756063341,36.944633532618155,40.33750175619887,38.155607271427726,34.61507876188957,31.904077158958916,32.208456427579875,29.581411641086678,34.175672548965,31.100593199211804,33.19480373708162,32.80655924838952,29.032013125912748,28.064704245092642,27.128836871758587,27.045554723855975,31.39490792636273,30.169566371119846,32.31714434613654,30.851809125219287,34.24233507191022,38.90708351432775,42.006170143656654,43.38464903777782,38.45337109892664,40.068119041907885,43.9449114682443,40.537540615132805,38.33667966209242,42.590854397591464,45.30591862194426,45.60446564186012,47.07133021862073,48.63666833940474],[39.73585578475489,37.206071512107584,35.89373849336311,31.464814496083118,31.458944333929182,36.10081143580763,35.723250120383824,40.068021573385565,39.78840108912014,37.96729936499726,40.96641263525382,44.64630929434812,40.7945850624354,38.558556280335075,43.01837321045675,43.656551611274644,39.24518035698739,41.22229351642595,39.05607569692118,41.466827552948125,41.999925915786605,44.159438072210904,42.92964836826893,39.72793685406632,39.02367612275807,37.039395675150196,37.31311351889028,36.45182181707385,40.46899014721548,43.2292141209765,47.15228530416754,48.34515915109141,52.55913117934977,53.94063858370286,50.597567745791636,46.77223782282742,46.85498287873142,42.87339247363473,40.47417891267243,44.03150613723967,38.85449162324059,41.51361031158795,44.895408369774756,41.924971113961455,41.49652443300695,38.98335716822972,42.34997341769605,43.90590463338455,39.774750194850554,42.40168391234749,46.37137846972402,47.12426337217097,49.87779343805722,46.256157033073265,52.70212269866359,52.93243669520951,49.0765957045097,51.36908988142471,55.3493352908462,52.49755769659933,49.83733829646216,53.32521756216101,53.56346713342022,52.889846347679764,49.37482771975339,47.97210200421474,45.38470984459545,45.37822836291691,42.13670996813763,43.19924835764158,41.098819598039974,43.13437379686984,46.08744279832543,46.7343756203305,48.49123211485137,54.042193222105524,51.644781553471645,56.00151530198432,53.89561947684804,52.93657489826034,52.46262283281738,49.9022883123196,50.34976124082374,48.346857156335155,44.18340992473928,45.56987641264651,46.565606192015075,50.4050470198769,48.851041942597334,54.384257019272845,52.04492283115451,55.2961106955933,53.489705410785334,53.2833139062257,49.3152668892949,50.929990382752585,47.2299182873447,50.1503470399764,48.85214391584587,52.2810992544459,50.50082575171222,50.1464968605129,48.789500839886784,47.24720362439611,46.33880951676613,43.15278781112298,45.38259143582176,42.306281176585706,40.273543863848886,42.48549111567327,39.12875433201394,37.49764227433522,36.67873345128273,33.556596020749154,34.51420115030392,31.145149395475492,33.13657982008912,29.54834974228728,33.55637723575962,36.39256041730385,33.89559045058462,33.870148923271984,29.25345647712779,30.17711434258375,31.760772386947284,30.081567256340687,33.96516138407291,33.48064746543179,35.270075454423974,38.15084953808696,35.09056631607386,38.90206966925157,36.63529677014319,40.285800475580885,34.42013195237436,32.70580531777185,28.89476877163106,27.451425817646474,25.52473647806928,28.028390078814482,24.684129761084282,27.734234737320904,30.789019690012314,31.051771070064504,34.262107243071995,36.95078784210285,34.80815941641266,37.71995442992288,38.84784290452509,39.614776579141555,42.46698168710269,44.70060003312547,49.221997027057135,51.397600847370704,51.21072430935789,49.725291825488036,46.22964627860756,45.75574467329086,44.27761024219296,42.20505576910504,37.73907771186213,39.597170507684524,33.890218581213404,37.63201263364513,34.09064770562406,28.37039997419384,30.96959120725166,28.27939469706038,27.24908175892723,25.944492112059084,29.169655481438916,29.948530037782756,34.855012417357955,38.43975889265329,41.53682097057264,44.91709446883082,45.057316205775805,49.59872947642996,46.0343610240802,46.81873221676762,41.78839653853665,41.61548795082184,41.93608184643676,41.61002741277011,38.66765294332383,40.653680950623766,40.211160390954234,40.84842731630249,36.26199191917139,37.98504072025934,36.04799573127769,36.319633662763344,34.92745591701907,34.49831984874162,36.06245131020216,36.68695400217085,34.37413345759472,37.632500481063026,36.80745219023492,39.0992438551143,41.804210956054156,43.400609227084544,39.700297240922055,38.69048229223551,43.021508130693434,41.55807601575865,36.13796074746455,40.2169408637808,45.013648594153025,40.13565709207366,39.43589917110117,43.355499846056375,43.34132004855968,39.25888345423322,41.23352083957463,39.0144988759435,44.27081391731155,39.10710666955579,41.0833774697012,45.24280066424657,47.62198202610156,51.85757946223377,51.99608123530018,53.86489192357105,51.7773265384749,53.932811232508655,51.99127105476947,53.69691698190569,51.91350167557292,46.574057255754305,48.50168247759936,49.076306874881794,44.87377466983614,43.215828865911924,44.6712215163809,42.57924655680121,39.35607925137172,38.11449217880606,38.90436957560776,42.910343383150014,46.117915840890134,47.87369554275159,50.92947691959733,55.00535391298624,53.0782039630803,48.499823507981766,51.82936727193948,53.91852903753341,49.3502733408049,48.01361939134316,51.80177022793347,51.03537444646654,47.35905571736164,51.121881887473045,53.01794806106842,49.65429747036685,49.06722430011235,52.32823571998057,49.74278584732262,51.76099171538522,50.14656790674273,51.94821054027667,50.726193902841366,45.56168977312531,47.077307954475266,47.256903691503496,44.475557144098985,41.69045076907698,45.51422195508148,43.561628027044975,38.85347706776287,39.3678344672797,42.57844767235705,40.02612501989327,36.49406643436171,33.601403296307616,33.6392048126798,30.706199433291257,35.18940478426369,32.12841261558519,34.6378298057175,34.12118577036133,30.08526499888199,29.547020104577797,28.72430260034913,29.140825744520818,33.64873596316264,32.55454435068487,35.09321942690692,33.470246373279565,36.45202642961795,41.37602782433142,44.338283973718305,45.737709495881155,40.638128738443235,41.9498510219942,45.79181349192913,42.435280474687396,39.84051973897172,44.013251766230724,46.741060005058856,46.948527050685435,48.46836918257014,50.11570143768293],[36.64496226862148,34.33649612731187,33.466689073924314,28.869451549897235,29.5825428590212,33.805242941316784,33.69961462625882,38.164936835260605,37.63539608794927,36.085524401610485,39.04110884929079,42.7807410847081,39.34620572936351,36.866428027169654,41.53036736720595,42.42693233766149,38.230139422183726,40.49525005239115,38.69487885662433,41.392097275019296,42.19231985941442,44.737088290878155,43.6084579755715,40.62400418487907,39.750082918460976,37.33676532741779,37.46070647582258,36.146525137162286,39.94713869371862,42.473237227856046,46.19946344000358,47.378319429484975,51.52034147031273,53.19032350866528,50.01297541224248,46.33613906978224,46.41499744995639,42.87333142056423,40.71382514708181,44.74646417316221,39.72222764731169,42.05279008393036,45.70596873337947,43.03701104591317,42.83750632877706,40.613040633094286,44.14628791714047,45.407711339340395,41.32942197061583,44.27940492138023,47.989840026695965,48.659917939497745,51.26126086010407,47.33548366661549,53.69242256444003,54.16504688082514,50.185656191679236,52.08941000458092,56.248129775229756,53.68335210336785,50.67265769065134,53.87040190080248,53.78825924256463,53.26330043772587,49.931748198510704,48.2667231666511,45.35529371190072,45.00302199810754,41.55579935017788,42.20320881287111,40.07469896509616,42.01581630926746,45.102780021710025,46.17364103516544,47.85551192640346,53.64063542096658,51.50642813876337,55.77517385506948,53.869365196332616,53.23629057365799,52.63957958876219,50.37359984362675,50.504639165041205,48.82250867978399,44.693350315680554,45.716390085236014,46.773732983123956,50.29613458584922,48.73324761313629,54.00615324113392,51.496230155156425,54.64257701398979,52.57402158343768,52.17990376923668,48.04986999539265,49.41148384560961,45.56717654571328,48.719946014475575,47.308254932323095,50.6267962589735,49.327253189088715,48.97251090383253,48.03175388590482,46.446136740170466,46.05912970047607,42.57562611456369,44.91466618464212,41.97533323414271,39.55510528080763,41.6091685228444,37.92476069036041,36.52049952721846,35.2703999534577,32.45786997113757,33.28430333666907,30.1144178021896,32.36587049166544,29.042646339834867,33.17169910469583,35.60277279965515,32.81664892198312,32.5083176667159,27.878912352584685,28.65275033659913,30.00650804498244,28.83718071843991,32.43480725339312,32.49101344844483,34.50094723662687,37.80514244469464,34.88215097726297,38.965972854566544,37.065552982604046,40.502314862550136,34.63373627607375,32.490977433545844,28.57459504541989,27.058543561901487,24.973407098417823,27.801475792017563,24.795945540399234,28.38695437516645,30.98854599244069,31.018918974548342,34.45479100678822,36.68038795749723,34.315603739766686,36.90921453517975,37.93761343649948,38.234086176207136,41.05351662059777,42.91000007415927,47.54226540012311,49.293966890419284,49.27656913211267,48.120727765979424,44.75745480013805,44.50111228732625,43.244455389496814,41.41859553762594,37.344355576492475,39.3737894191585,33.924595363065464,37.997664948320306,34.84491294286792,29.206547579270172,31.993434671464065,29.775940873834926,28.33054877420904,26.618984401373595,29.668361879465476,30.14415902161389,35.21384423805986,38.65572475864913,41.58545552650666,44.74491332045518,44.626319586785385,49.40980678097348,46.18353208837447,47.018559680610416,42.28011892433576,41.618601572612505,42.48783418911622,42.52427587420642,39.524088916887166,41.748929086496986,41.18193196678005,42.32747650344796,37.92205576671765,39.75781804849068,37.882967227767104,37.748804104224384,36.31596684461035,35.563274342584045,36.97360091038313,37.46131629223215,34.651851649151396,37.70046714891361,36.448783170781695,38.47060047990268,41.046247144058924,42.35125737287961,38.55724222556281,37.52426615714255,41.712619677822914,39.92783821955217,34.44050507910137,38.552747063267674,43.16111808261092,37.968709551132235,37.23290580120641,41.10125463864497,40.872465574681,36.62016571151195,38.654978438351975,36.679749973809,41.981364965114246,37.27857506691875,39.35477943203055,43.4566459645322,46.22672601670769,50.29514711534138,50.82272481761149,52.742363421082054,50.85570279601847,53.19803269904196,51.306026487659544,53.33645520402979,51.45454381458936,45.99224759034961,48.212200396716014,49.05394476058207,44.68888305416833,43.07570656528161,44.917037021209296,42.84955437523704,39.339087852508065,38.3693655947824,38.56753113511414,42.6842575908338,45.86851926977854,47.20799619852161,50.26918336283668,54.124545850878896,52.18747746832156,47.599847737524605,50.626590010523834,52.60431166481967,47.9880615293649,46.52107801014077,50.06887019436019,49.129278900896345,45.40671627844728,49.224651936207685,50.899791206379156,47.311427596748196,46.85690512849533,50.22365032644455,47.822810005196004,50.11217449789761,48.727396899815545,50.7484520236635,49.25020248542583,44.04436427070523,45.9890467027678,46.13202025781853,43.152032556405594,40.68482129716024,44.80886481771286,42.62848020951374,37.81482285875964,38.82003114600439,42.133383944216185,39.33975163284974,35.68822354119155,32.395423898708735,32.65785303489103,29.283042308500825,33.47532675250324,30.109596084278625,32.757963137073055,31.873539435839703,27.7887762850262,27.704525129905424,27.277800877669733,28.033589912835428,32.55437593999106,31.296161795815777,34.22010012605356,32.27979975820446,34.7954998975666,39.923211824592855,42.74700813469488,44.09208713314641,38.84481277511516,39.899545542356535,43.64118020868929,40.314799723748905,37.4021673482193,41.50897301101239,44.18705581849252,44.30176336053515,45.86118212713855,47.588818064265325],[38.89169010277227,36.71097234187699,36.03677167139182,31.7667357257739,32.76073800292921,37.155604424107054,37.3788419692612,41.90404242178145,41.51301016309795,40.20361725628114,43.21265965608896,46.89927785182903,43.59657838689931,41.1645550583116,45.89395212897394,46.79614780910697,42.63883392346534,44.964217877394276,43.172073163400135,45.82334115202264,46.591623311105494,49.041880123522006,47.87579097201255,44.80936820287422,44.00198482406904,41.707649943717314,41.8275541702952,40.560404604283846,44.36147972298158,46.82993415743486,50.64560834754326,51.72233873446063,55.89177217225237,57.621246204025596,54.40914887834046,50.75322313004783,50.73322639163604,47.19944475910111,44.9574302648766,48.81856711530061,43.83352832517887,46.33027947679326,49.895240840791594,47.10696217919658,46.83894018364634,44.45597555657859,47.89632483903486,49.303640340245636,45.147696590400535,47.87655095405011,51.74258666781894,52.37604039299392,55.09035063055225,51.30920989154581,57.70305526095044,58.15256294511853,54.25482402420712,56.288318716072645,60.40719763198517,57.75634527733269,54.89296610294332,58.189180233712385,58.18220305529316,57.623450524339184,54.24776744496538,52.64296028695582,49.79320145674914,49.481650604602216,46.0406982848126,46.684261812212114,44.54265105719768,46.43428563010185,49.5686315582707,50.639348155334126,52.347038998932284,58.12395433703529,55.961216265159,60.233345499693066,58.279528624226586,57.57040574298932,56.92512748763914,54.53382880899277,54.62695126206741,52.803876104414485,48.707175051666106,49.89606234017469,51.05976328525442,54.602376250189124,53.13797957285173,58.43866163092979,55.96834039034824,59.13286255451927,57.05161304161798,56.62139607896319,52.457626158909854,53.789857869497425,49.900930639501524,53.03135940017375,51.52237805450581,54.68350414295677,53.51535735612771,52.94240491946714,52.12188894655592,50.29724002396426,49.76995506673176,46.18959653194332,48.27942584496879,45.14976876589808,42.671252002233544,44.961047740161206,41.33800775826184,40.249678464835135,39.129871062559126,36.47490714723559,37.525848930959,34.430987141824275,36.7841910896795,33.48733163547965,37.64813168198313,40.084624465617665,37.29137387731387,36.91900436132002,32.27127402596059,32.9077394546495,34.05083478426836,32.76906680398611,35.98538116610615,36.076444658999804,37.84589513513929,41.223622479235374,37.93031926698891,41.89729773785271,40.12096125940743,43.81983656183826,38.00200883158807,36.10968294461658,31.857817203759023,30.807494508624824,29.00427116378618,31.936210693295898,29.071198021351247,32.589394975604,35.3211873254988,35.308912367723366,38.71013711178438,40.98413758011469,38.58707896906508,41.11580513601139,41.98404819181312,42.23215074540125,44.8466573669555,46.7318536939755,51.27263920033453,52.94948311752449,53.153482027124554,52.06799553288949,48.80748873001867,48.43035804545914,47.3627638369082,45.323922464453474,41.31384480238292,43.53699762456673,38.03317634288819,42.049014877211555,38.65541047547717,32.950873322508805,35.41848679515047,32.923228555998,31.366977208688617,30.06386078977268,33.10329870752939,33.91365579583686,38.991744485712594,42.508733269192035,45.557014823148855,48.69439894294659,48.75816626599243,53.44585857994934,50.192989150320464,50.877513346262134,46.05430334161299,45.311511052597616,45.94307824002633,45.84409137518345,42.99319510794014,45.39465600992763,45.05713221353908,45.93230454811106,41.54337909823442,43.12094015158102,41.04112850161317,41.05038159762341,39.32997409161017,38.52369088484767,39.76042580731028,39.95125074976645,37.2740078369286,40.16516011934067,38.76896680296731,41.1241215748198,43.31877032320683,44.91331911881689,41.26051182514934,39.747745815855986,43.86646037870707,42.36269739484847,36.64017870643423,40.441255815204556,45.26115865063646,40.17978343134699,39.07973705746427,42.83980645199394,42.95600864880418,38.53396384477134,40.096980188152344,38.05096947070093,43.203451379336144,38.104312678336875,40.58120569104913,44.61298882534038,47.20360453358389,51.11254495093262,51.692482221739304,53.97718808823445,52.2885670501299,54.79375875154534,53.242974988495774,55.06406949256237,52.87489692818642,47.696132402957026,50.08459020356165,50.52343220268794,46.09000963038456,44.82832201699402,46.68343998300516,44.09983105612081,40.675706453900375,40.30019420555703,40.533326722386334,45.10422554022158,48.12321862217703,49.43877489957609,52.74049666189392,56.52796328189237,54.90652424207272,50.198666223589534,52.99122610335039,55.233406582410716,50.76221959926641,48.97067651449623,52.51711729416106,51.71296699124801,47.82057926618894,51.36379699427853,53.126569739507524,49.602519527716794,48.797904318397144,52.017072253313124,49.53920681158155,51.90304796089484,50.74082065009812,52.51152411786774,50.74922181703323,45.777977043041595,47.72336992393424,47.460704741045696,44.47507906009727,42.26328410531768,46.024742571286424,43.465582185775204,38.95240368101725,40.091974115667824,42.91670759037575,39.838263544400036,36.406492517174314,33.38402510830639,32.9516591010113,29.718488956893033,33.970303047168414,31.158570649571754,34.2619329255804,33.833928074632055,29.45214345060036,29.416534249169377,28.59853351441302,29.759973160197525,34.41393491336116,33.81304495498341,36.89664842500163,35.37022374113147,37.66582368127921,42.94454269850499,45.578972219024166,47.21706919565661,41.98844164875784,42.66524582471837,46.53693832042352,43.578216967873594,40.31779077230319,44.175227309218364,47.08970078680564,47.34558929778055,49.04729917708275,50.843173062846944],[39.85433205645926,37.32057845586292,36.00513663363527,32.03771769946283,32.12617617432512,37.15188808951246,37.17244301024685,41.57965608632977,41.664382057594196,40.222814018089466,43.40317221477433,46.915619452012834,43.21019052439565,41.23144445869784,45.83120448097283,46.36683601017874,42.0472867401601,44.28715126767629,42.39406025977434,44.60498649027892,45.34132840379003,47.38131146558235,46.32680387282764,43.13401307081598,42.22516286816101,40.3212083403819,40.30126538984332,39.36540238658903,43.301062234818694,45.833871418115244,50.10845659148816,50.91777363020134,55.23148125699636,56.799293826674294,53.33165418055455,49.61924250424109,49.36972240486313,45.56333849636226,43.036734510649566,46.38349172594781,41.49492250491952,44.450863532689006,47.74338250555537,44.706951857361,44.45750494941289,41.845581123779866,45.14972570582924,46.618462106236294,42.301292633658775,44.67254584360942,48.707660115411144,49.24081960497009,52.126244146075926,48.62234283960925,55.068772200222604,55.488119076515105,51.79828912649978,54.1069449660789,58.12945425861053,55.38301054321005,52.900083994399466,56.51954992742558,56.75138816227374,56.31020978136257,52.69895120712013,51.15736076588335,48.82308327083658,48.67756519373096,45.61600483716276,46.5509363942406,44.592365594134066,46.77966889971036,49.604392735001674,50.33417777018837,51.84981023445731,57.447280091043524,54.87041637431211,59.143422147795626,56.88049454925067,55.8198640468721,55.0736490058816,52.314044319915084,52.51603272804392,50.32839834735105,46.26864172683373,47.887542344609855,49.21694985362323,52.96050416291937,51.76488973233273,57.298431991170986,55.13835417329412,58.55523879858381,56.6627857382496,56.27666409239317,52.2090269046634,53.878418854486,50.075235610563816,52.752535652747866,51.21797803207635,54.32085901378848,52.69661582341341,51.88965761500608,50.73812156266659,48.74914202789796,47.62953029759183,44.27277391592652,46.12909014115738,42.79866831666264,40.68439351400086,43.22039795817789,39.98377063246842,38.81671094462892,38.26583374942333,35.3955652557469,36.85031053972452,33.65540263212428,35.97017003151928,32.56583572856928,36.93862989804983,39.56165099425512,37.08057664080193,36.78576229785654,32.07279755922009,32.6095982238015,33.77919969167493,31.78046563707827,35.077429602870694,34.58277976048136,36.0076096202856,39.00032946500425,35.44101600706294,39.113592626192414,37.08690033607078,41.05691846348509,35.29058236097418,33.8992253248958,29.58719768324205,28.863133043014788,27.439401085656883,30.207165247137205,27.40790839852325,30.61626057696961,33.721527209171036,33.67706276447844,36.873707091942826,39.49416196165847,37.220923881770084,39.93911936452439,40.725469178447405,41.45004928726253,43.938595857811585,46.322503298734915,50.654079425306556,52.867995388217025,53.00021282360574,51.522202670044464,48.190905238414395,47.43796269309227,46.302581517694364,43.810749363727524,39.497529342374,41.78195203908762,36.04984206860516,39.768213262021526,35.91552213681307,30.150132433996824,32.224040065666,29.332856573900713,27.930871112828207,27.130321105342965,30.24979874131025,31.50218572326419,36.44354401235225,40.104839716410204,43.37214359154746,46.650219049679365,47.11962874657255,51.49037535467438,47.96155199600672,48.460915823464255,43.38219780206317,42.931822276495,42.997472927581036,42.58144787728399,39.875014136711535,42.29154283405274,42.26354408665374,42.671345887681035,38.330675845109525,39.56178267529177,37.295517556513914,37.539971871537006,35.65845256396548,35.011877335813686,36.272297115477286,36.469882994119956,34.23353122372532,37.26428479073667,36.25223295123792,38.928505510160676,41.198411509988055,43.1442230132021,39.6252106290866,38.07895083958665,42.35251502597999,41.25881233623963,35.60724227837104,39.35504591028237,44.410731600928614,39.75297648455074,38.700138253622974,42.531176467733964,42.94525366908893,38.7751044102947,40.279658480436694,37.893245763907885,42.99409033259593,37.34451112716214,39.6221654886173,43.732102072039616,45.85386085996174,49.998256877535404,50.089583286206995,52.26261029735244,50.327375491399195,52.616088984205106,51.01285704065258,52.48944817092181,50.41069631327807,45.357110475940026,47.444812455378305,47.61695952812299,43.34984304891337,42.04191603220168,43.530280324011365,40.92644870868648,37.77749402687534,37.15887226341984,37.95791697320267,42.46031795653137,45.474307347553456,47.208672977691734,50.52990583283854,54.540729704115236,52.980724892843206,48.26614991372168,51.362670580096875,53.76715740638678,49.382125570926604,47.69551165325467,51.535354152143015,50.9710570550952,47.11911406237176,50.56864587112866,52.62810228801447,49.420543678161536,48.418663675122055,51.494373559944506,48.77560137538825,50.78809066496225,49.34538206980233,50.85482748546601,49.43549642817626,44.50701008924104,45.94221339223444,45.74409765925004,42.997016879257025,40.39832651404653,43.84485326581448,41.59226570266105,37.165142451821296,37.74264801883328,40.50866748065479,37.74923134820442,34.4163748364153,31.82518309313603,31.26274189290093,28.548446564261937,33.14458688336992,30.629827535143587,33.480298955033916,33.52008358359071,29.230227988209457,28.58563221874057,27.304136888303045,28.035356131386862,32.65989034891427,32.29280895800056,34.97019545247846,33.892788112818664,36.67025637830691,41.73640263446148,44.488719785334006,46.271167288779424,41.23386872307138,42.1467539465405,46.18283204077394,43.29860814185164,40.37218000471665,44.27323749243708,47.32103983673898,47.76843536939994,49.476129224623435,51.20019627010396],[34.34451320546927,31.699964309400066,30.260694560607384,26.261202745963807,26.313822256393873,31.350691244250765,31.459889334002487,35.89001151146564,36.10249823092928,34.88966721873707,38.181291622174165,41.56854924982353,38.04582065468364,36.23129534782316,40.96774332801387,41.478959466356606,37.33373500084527,39.94469530736297,38.57999244261955,40.744697522385124,41.93115566236624,44.18304521451333,43.465829548275906,40.54227931123442,39.172093135533025,36.94678745238097,36.47878439231707,35.140333078067016,38.85179428845574,41.06563574681787,45.53081910349729,46.01199910266159,50.359805581186166,52.209923131517755,48.73750673489121,45.21555754496516,44.71176332112762,41.34952156155372,38.931663118036234,42.5845270254491,38.06103378176339,40.92235469124525,44.40927498170363,41.6646487745073,41.88290914824902,39.58512858432441,43.0853828544469,44.02584211862873,39.63536772278028,42.29118447375229,45.9862222998011,46.27575039947926,49.032815456615026,45.229653483050015,51.572375685388806,52.40365700162164,48.69577313583419,50.577222748072124,54.826143848685604,52.51933400803915,49.79473908845975,53.243579024515384,53.16167310013608,53.146196988217326,49.59538189307275,47.63669972243932,45.34916139176784,44.78058313179927,41.85375059401742,42.42493309100482,40.677322097859,43.0889395391694,45.70805711191871,46.74828349806294,47.865437789596335,53.64158471920605,51.03022268979348,55.13957339910053,52.874252220984346,51.99853059168361,50.93103260798035,48.306472426355434,48.0918753702962,46.10335551088371,42.12442458511123,43.5403565404885,45.13783251348511,48.55369429863251,47.63312325882953,52.97411056591773,50.88495509883234,54.41770087107739,52.30679771561494,51.65807133717474,47.452378483626944,49.11019392092028,45.19743790999713,47.699362796587735,45.97413861878045,48.863489976842885,47.46621496895319,46.462410156496425,45.58702483470389,43.425674262632725,42.581216478874914,39.00141262917333,40.90277790822597,37.661682028397834,35.30930089390697,37.75414460332118,34.36709956767829,33.36100109770396,32.712734633997854,30.05537312229108,31.724668850419825,28.74238838757783,31.42546504679447,28.36360955380543,33.20314198117042,35.331024581225385,32.77678917963655,32.10457500825694,27.334271015818658,27.495892466980628,28.347357353146318,26.334791356969273,29.37547390673815,29.078539841235894,30.583764118314075,33.84515824036041,30.383116048832793,34.28924447054543,32.54809345236259,36.33085183613619,30.55775079483309,28.868570608034887,24.421715587789677,23.757921540837796,22.431618050473453,25.535507017771625,23.389733167410512,27.19715181298601,29.918908299988928,29.427539434335095,32.78188460089974,34.991752413279315,32.494190536793795,34.90927377884668,35.476865338101334,35.99327870327278,38.34558546522596,40.679109745515476,44.97669326839886,47.142721047751785,47.39030000596657,45.974025960952424,42.75057120407873,41.9611428962549,41.05461714544925,38.52498866199207,34.49829468785311,37.08646347794739,31.543561494870904,35.52253094310353,31.906198203578747,26.21395044049081,28.334355423728983,25.9757919887219,24.042546271341134,22.858872531775205,25.789151878830406,26.87979426769337,31.972036033867052,35.532482770455815,38.721062916718694,41.79260493207061,42.21553954727888,46.67778084605961,43.426344816157325,43.867422540423156,39.03388216990079,38.094927596409605,38.596031655310036,38.53538835397527,35.79752594184572,38.58075783728778,38.57846429944795,39.49298036973343,35.50709774763037,36.6848474290577,34.425580175109815,34.123281214701244,32.13895722778598,31.113062934710136,32.2334957408013,32.37369096373114,29.64120000900449,32.5699026670869,31.308968157943966,33.70269799226012,36.0560137254131,37.741760006500954,34.12321971464355,32.745583237577875,37.007169057723104,35.67555817716203,30.087617714295916,34.014418888891264,38.92154106426745,34.1489406040398,33.27006221274581,37.16122250176022,37.3846807651235,33.30252353999396,35.07570284735819,32.74162016434347,37.95368252370438,32.6842795029247,34.6871307319951,38.83928160563967,41.23234842415218,45.45081097663901,45.65375541995366,47.57977505256054,45.601393879751974,47.88931042538622,46.109161455757274,47.907117284141904,45.95596529699933,40.63384088398984,42.81223253892196,43.41647815766104,39.070244349367044,37.564671200404874,39.3380623902374,37.081079743165944,33.64496581343242,32.859753484386054,33.21062474408009,37.58795395305946,40.66701286266707,42.156429758306075,45.38544846878958,49.31191801176513,47.6279642662687,42.938509604065096,45.98949253106757,48.251608855883916,43.79508224949046,42.166196217325194,45.93895327889517,45.2839485413204,41.47679146104611,45.06105119953152,47.04048561016579,43.779126242010754,42.94944095576671,46.124998124179626,43.48540719623296,45.5336609349357,44.04581429732052,45.7890244083265,44.41818477449436,39.317107142742174,40.932270743080764,40.980293357669346,38.14385110085206,35.50837062144142,39.37146129451777,37.28096991288742,32.55589497308866,33.30246868011907,36.51567965632183,33.84844636450621,30.252601376186075,27.23726975251855,27.380796483342593,24.344835991170186,28.794625268588344,25.742987552525516,28.300562048570146,28.018488061919715,23.888705037494084,23.267872617721192,22.350912357863518,22.949293189004564,27.52391553104422,26.775686037269335,29.586930658564416,28.273530475450457,30.93898706895142,36.0494919354691,38.80116657000174,40.52470972205962,35.445402016745454,36.373707853042035,40.379391018031654,37.476963285525784,34.565364473804294,38.51213516413357,41.53029536615345,41.995009270373856,43.71651523195988,45.46155596409042],[34.57540439465278,32.32219879109401,31.589879459429685,27.655568370825048,28.752160221299608,33.3728664283884,33.96046178682219,38.52236407703816,38.48356111754865,37.6203755797367,40.82620923472415,44.285888932610966,41.23061175253621,39.11318123478687,44.01950075112553,44.82214861150945,40.86772098438916,43.629084150963905,42.40295655117603,44.86640609444927,46.09153324419897,48.596198636943356,47.79600158090216,44.9247379005175,43.648905447738606,41.19562116152971,40.80024822053192,39.210790316413174,42.78479830027969,44.86042728043876,49.052915603752005,49.61639388540473,53.870574212623616,55.92789974536112,52.6280277424292,49.19672730117203,48.761810955569,45.674536651157744,43.42902267531213,47.34568748349784,42.82721004909041,45.45657833790299,49.08637399226909,46.461314053664445,46.64586203519092,44.417512615123954,47.951893856759106,48.92240063127876,44.59431808635333,47.34876364110498,51.01086741235327,51.320280478292965,54.02828426457507,50.12383659198537,56.429600801037004,57.30198785217146,53.512242708569346,55.251756897773205,59.55523425698519,57.29564225577697,54.39010604865115,57.65926288486562,57.42677740915551,57.34371530444943,53.93914962813908,51.94126598499312,49.319892955709136,48.61374035917931,45.4132772632538,45.716036504845626,43.83753896394726,46.01083777410521,48.885214086343424,50.22338018397599,51.46272059954468,57.38676598046721,55.063066095792294,59.151466755102966,57.08172877695546,56.4298713661872,55.36500274163909,52.93625711551209,52.56397644850544,50.763338092458525,46.811099488569795,48.00969889814864,49.588924172597,52.823257832293976,51.811826498228214,56.96697952322491,54.68622073279994,58.053930835920355,55.76281181496731,55.01653070539815,50.69428163108678,52.06305725106695,48.03338927298679,50.84397175309931,49.033109523795886,51.79631500212054,50.90377166268039,49.87061523406328,49.398531749234905,47.14687460671105,46.68022240805594,42.83927766821987,44.69180344588414,41.47574148409345,38.7739043546099,41.20248301088165,37.57071691237934,36.93931754520199,35.93231482909354,33.63375687030433,35.16707505484006,32.3647457282025,35.17981277091174,32.2619541103398,36.980173665565296,38.92056955067661,36.10468383443512,35.28252535038146,30.555023748943395,30.6560863475156,31.272399489021947,29.790817302107744,32.369135173764256,32.620685623026354,34.18503434181841,37.81536336084606,34.2856843699457,38.29304773554422,36.91141335834393,40.65554778837428,34.954091160497484,33.07906589228779,28.44900323877557,27.934748282917873,26.548386417531788,29.849364688105002,27.804783651915958,31.798866887017212,34.29502550867687,33.774030705543744,37.25304018960183,39.18503031164334,36.55718645030573,38.723404896155785,39.19502774077532,39.256064746082615,41.500193424821134,43.44012230706974,47.80195942261991,49.46348695685243,49.981735929978484,48.94923099028207,45.897316464734956,45.29975539447283,44.64416747688112,42.30096805059638,38.63252603958898,41.3446530772575,35.99428805076029,40.149757609207064,36.73994390560094,31.10636059978052,33.2469513915207,31.016351909381793,28.88236583284892,27.6539116820491,30.448787958146145,31.439379898360855,36.5951063120218,40.06303642300249,43.1489004624669,46.0512677644173,46.30611555944611,50.92179250730868,47.905567105943,48.3519692846055,43.69780603753143,42.42226454262349,43.19406603275466,43.29126525990272,40.59369132346281,43.52288865167615,43.47797533805698,44.55252749357126,40.5892567355898,41.80362854669378,39.52705233174811,39.13844991162102,37.042377512299865,35.833798401774104,36.75601031152073,36.6129086490592,33.64841881693656,36.26698804232825,34.54998139267911,36.93954420709513,38.85719982741155,40.488164310308136,36.91359278879544,35.13991840104788,39.17262168684939,37.7539656147451,31.93249506116882,35.59736952403832,40.47041948400133,35.46493249818743,34.225048046736944,37.951913510756455,38.23648096456102,33.80832256795125,35.21340666366522,33.09587472537595,38.21683626277137,33.06623038089564,35.5767814494783,39.59263628022286,42.21544465490608,46.09941710545188,46.745702714090775,49.06588973338643,47.469388138892825,50.0703881283335,48.63915019377402,50.53896334621268,48.2370793373997,43.08295428485515,45.65500580963207,46.13267614802527,41.60990733660697,40.466095336956236,42.55773486116468,39.87991223072435,36.30671928446789,36.279096998075936,36.15850191766559,40.9646540110995,43.87225452568334,44.968115010062476,48.37567499367798,52.03117987641947,50.58621174396103,45.821765872034995,48.38935438649702,50.740709483559975,46.36512937917912,44.36513255925688,47.877023505748696,47.1496203024301,43.172020510156436,46.576874488897396,48.38808302860454,44.93797889605557,43.96137492378021,47.11759971184915,44.61212593836617,47.00591203824305,45.949455779328076,47.68544249500694,45.806558527236774,40.89247394523717,42.93025928699051,42.57125601115853,39.54046713150345,37.47206995806222,41.26586752611853,38.59760306301561,34.08257990206723,35.429621464884356,38.247514753140095,35.073970285497346,31.60089204760845,28.468485809706966,28.11330384459312,24.759282847272836,28.953925595172347,26.138614102474147,29.31116313607262,29.0413058917109,24.581703971335852,24.54839027811928,23.692283230361262,25.05054218723457,29.71442039955077,29.37562043992305,32.65745855543901,31.34890688657017,33.359557166335684,38.7494565388564,41.20917223125986,43.06998958899196,37.87885157282354,38.25739121379845,42.22907821782661,39.61649454405421,36.12258227243819,39.79525063138704,42.91663896745737,43.35818218012859,45.20381550122716,47.06487637481101],[36.917221706822865,34.499419234708924,33.407682509337086,29.994562464845526,30.57081130410308,35.74648367814276,36.4005035817501,40.885228702812405,41.295040295491965,40.49668912320862,43.850653719592195,47.13718395430729,43.888211906033575,42.13488966984547,46.981315399060094,47.52343812003476,43.489990081971634,46.232957433598465,44.9539326726876,47.078967765258746,48.27572119472864,50.44021934956674,49.70821018858363,46.71042522312857,45.39012556084615,43.272841549954855,42.76378310415754,41.4258570372547,45.081600959484675,47.15105563507756,51.72895410424406,52.02173608823785,56.39258224574107,58.38206977174516,54.8792660659271,51.43423548235751,50.75877563142258,47.508467104861374,45.01627973252696,48.455984591221004,44.067549511154866,47.118771817032055,50.50168001122548,47.64448560323259,47.82383526027959,45.35493930730705,48.7350149773482,49.80971490028116,45.32091654347564,47.681178579936365,51.53540444382521,51.726171100385976,54.62095964733424,51.005811735205185,57.3530458633031,58.2139246117774,54.635708800463405,56.630384164632616,60.84550458531928,58.48970731158728,55.94319528677236,59.49406588557475,59.46556981683747,59.46329007012096,55.86864024220131,53.936997228337056,51.72042093417203,51.14293949788125,48.21497397332167,48.71240168127682,46.9561103559939,49.308700952418455,51.99506705855518,53.1011113141184,54.21216138360985,60.00833927125814,57.373124562660735,61.45471496972128,59.1337873212566,58.189876841380055,57.0027660341387,54.23498103394721,53.89026416456142,51.741866587718576,47.856752264630806,49.46545044575551,51.247322635528924,54.616227341857936,53.87871431909383,59.20407657831314,57.17659808417476,60.73829132503122,58.56672128296513,57.82000183216742,53.54457327287839,55.13424315975881,51.13956185704959,53.60020547660764,51.70362906240311,54.30322419634723,53.17730604124594,51.81424749892607,51.19796352340137,48.65368037003664,47.66459842182096,43.921291456737166,45.40595297375092,41.915481696976386,39.4437997580696,42.21840240025213,38.938231444953374,38.48771327045361,37.99521125012113,35.66497873153486,37.632613043231814,34.820422924343404,37.666375541967255,34.699864787748645,39.58107455358185,41.64644117968797,39.045139121106224,38.23995712611948,33.467414526423866,33.4195450267879,33.92215142163691,31.856378153644783,34.207606939978,34.05053145680115,35.17209585604545,38.55893920295741,34.57795469488491,38.25955445700599,36.82428072241386,40.93457310673225,35.348156475748304,34.02303501228363,29.136972187759213,29.208718504922917,28.29973631171184,31.53506654194146,29.651918553986544,33.38968175822727,36.201896245031584,35.62031123853203,38.92725539278563,41.11267833855965,38.55332470867551,40.79438194028096,41.08911393105016,41.4587402296607,43.45295714753702,45.773126456042846,49.895555540558256,51.89763719334974,52.51933121490648,51.250045152373666,48.2310287326794,47.27335990693735,46.710764481272975,43.89458636553114,40.080864246897676,42.973984551457136,37.45476242128275,41.353833184329595,37.47918284230264,31.801175616379254,33.4151198327706,30.761710269422515,28.62332763744143,28.050333109422763,30.850172327622058,32.38299703827261,37.41871518059407,41.01925618172646,44.32986576042586,47.29504632875509,47.97093155356108,52.278977899901655,49.06944251060173,49.26642837800611,44.40024567190514,43.25026838069588,43.4565822101071,43.24730671932064,40.78196544995521,43.86961230242659,44.214538309716936,44.79436817308495,40.92548257188371,41.69481149685903,39.14531508086721,38.98299072776947,36.5516116533112,35.387057505097985,36.16403785220505,35.77348478066966,33.22487450523133,35.78784657874936,34.23615720529512,37.107443597832614,38.76610290541595,40.876809981761674,37.53615066838497,35.37572391204191,39.444434016278336,38.56944215355026,32.67252941288464,36.02018578396714,41.2077534059471,36.660591611639674,35.1923977480144,38.86101696127396,39.64401390343403,35.33394076121448,36.31917972853718,33.887749959080594,38.806955108791605,32.93062033255159,35.58012488381377,39.578345685657496,41.67501863143275,45.60647424182558,45.908903303626055,48.42079860296457,46.79618510583785,49.35485087998194,48.15733010715676,49.635286897051884,47.17739553640929,42.35716316211937,44.83510457390458,44.80007577275091,40.35510334097966,39.46559123769996,41.3051693490186,38.204610475494974,34.90711240061454,35.197539741432664,35.50434566277947,40.5994303535548,43.35711967706904,44.73216480421122,48.32884464636149,52.08245965682493,50.932326792978536,46.08961644986488,48.69066704221011,51.358254703359016,47.1779570165929,45.018972934140166,48.737264314074515,48.300654693598396,44.24796037452265,47.352320961808,49.4526411665006,46.318018427108406,44.92729851399681,47.84074000376053,45.0988102845094,47.263126868889955,46.16649990923478,47.501006302048935,45.6881478873081,41.01368215060227,42.6478721772493,42.02024940537359,39.18399010135542,37.0295186714854,40.27707319501918,37.550797809675075,33.36500540081407,34.38296087157508,36.750647279900306,33.598206134236584,30.394918945862557,27.848357205964774,26.81177916623333,24.027849113755646,28.52694083072268,26.44676756969721,29.73504543478858,30.20768005234988,25.66362996703509,25.163900037743197,23.619962898862195,24.948587950698624,29.642012336945978,30.010539910130078,33.07626858047923,32.43455525881001,34.62653551395044,39.9240961213233,42.3139140291874,44.4935367033096,39.49489147741891,39.773051886354615,43.940396906189925,41.669392182957864,38.21048137294927,41.70696928210257,45.081038541397646,45.770188714433516,47.710592497619,49.554303665422225],[35.12516257126234,32.47104282531036,30.964977139046404,27.692609852193637,27.733510753457857,33.21010907089464,33.7608027724222,38.16201488320392,38.84932564132304,38.05420086281209,41.508250730458506,44.648362249039664,41.272968785149224,39.813899984984324,44.61007303464118,44.95950162362702,40.933717530717665,43.75190514124568,42.63077178115167,44.51601689844685,45.863413851688804,47.9084259324868,47.36403834749844,44.434095359918636,42.89259908249363,40.84547450120625,40.10003108196472,38.77529864800856,42.38460640213601,44.355895956271596,49.199194354100236,49.246406785778035,53.6806802082576,55.68270670369888,52.07059290329454,48.68329383797283,47.80975922078161,44.611961943964864,42.04172856634507,45.34315662017534,41.167858665307065,44.37572100786721,47.691179939143154,44.85230741619379,45.22830721438244,42.800157247528134,46.18004265598658,47.059725842704665,42.495650485775656,44.799102893350316,48.57018420008513,48.619382981571434,51.52510431440233,47.927790479470204,54.234241714893706,55.24095062078141,51.760291319113115,53.70301704178926,57.9485302893518,55.73210039456315,53.27021379044377,56.88619009544157,56.84619359444071,57.06240820914341,53.39849038948935,51.34270789287595,49.3943724392,48.73765508947585,46.057081705856355,46.5569104657007,44.97666588207559,47.53966370988132,49.986327028881696,51.03831307924663,51.90463512657525,57.65774264889225,54.825281307401674,58.83015543477589,56.37313572091541,55.340466265606935,53.99071753538412,51.11616239904313,50.666863821574644,48.43504874085011,44.611470923349316,46.33442295955172,48.286339699719164,51.6119061252849,51.10445617469608,56.446478152953794,54.59890454348084,58.30879775793932,56.15716726698533,55.34215426385178,51.084003637105354,52.82915427309338,48.85898083453142,51.02510953938801,49.06315773928532,51.56125103946478,50.28317685052294,48.75415907208465,48.06737412281274,45.402182380897976,44.23280215087152,40.53262519313811,41.93059558892131,38.39006029720443,36.022343213893755,38.86834441173708,35.736560659331225,35.28984517847055,35.05145252143519,32.701522676504645,34.93286853227534,32.17644993612403,35.11219149175503,32.255804818266554,37.36402653325992,39.314327133533645,36.85969958658236,35.96342821479716,31.190025968177697,30.95624717433287,31.354740184433613,28.93547025869852,31.223098331845513,30.830930537790763,31.805365013332075,35.08298773710852,31.026640911347823,34.65198831596275,33.19810181535337,37.35255458370488,31.802233823665848,30.61640786661792,25.671768071290863,25.949996689338832,25.298438324050785,28.545206322969317,26.989668526759644,30.765275514894334,33.57012070658411,32.80237940281465,36.0417389969905,38.21702664931185,35.652295992424456,37.856366551372105,38.03141490840469,38.56533203390121,40.448568058841936,42.99370926594254,46.99148561973565,49.25181999229792,49.851847511863795,48.404349846812096,45.39124791356777,44.24374125653254,43.72084470925402,40.68764013868177,36.845936918220694,39.86507427039829,34.345525756771856,38.17617023962367,34.20062076015566,28.56910607627542,29.987670261403146,27.381614996219888,25.09486234231187,24.63324474525772,27.368166685942853,29.05301324795897,34.04658207103207,37.657697999618485,41.02648456724367,43.97047857832107,44.81646806325389,48.99368559720753,45.76764857143524,45.859331049694305,40.98392212469817,39.79347318038776,39.90117659827559,39.685409085229,37.27909975014862,40.506495990266565,41.00270283766662,41.57171600435706,37.89161190572068,38.475872069942376,35.85673826454532,35.574344766866886,33.03384609121169,31.79087749689194,32.52522947807366,32.128228711923136,29.592223422162657,32.201376330240166,30.76315713936296,33.67108419836168,35.44424232301535,37.61265202753725,34.289404411827434,32.224605174620464,36.38843661831594,35.60917686938393,29.802609172756533,33.231802835363425,38.46590393052242,34.091355662107205,32.76683002462144,36.51259230626943,37.33166117852923,33.222965909841164,34.350862774280166,31.765541832517457,36.723922959260655,30.754339181957807,33.12019449390894,37.1971030692693,39.179055402169794,43.30500991038616,43.37801029687816,45.673947107074135,43.862871325937924,46.285657128225246,44.93562135758762,46.39260816608128,44.08534185826286,39.16651321963198,41.50285260685577,41.55720272606275,37.162319830677006,36.11501512726559,37.87940429780932,34.96663548188867,31.670717687000042,31.690624716107553,32.11807243353256,37.09203309792752,39.8973520106661,41.40430796750181,44.950067256617224,48.8017589362465,47.59255044401835,42.767712059703356,45.545041781470665,48.208646301135744,44.0267096179317,41.98694290013271,45.836463632591695,45.4728566386839,41.483723911343205,44.62926763887582,46.842657112614255,43.84606818091171,42.47041754954827,45.36953252587522,42.540636308747146,44.52077116808106,43.22124678469446,44.54684467589332,42.97597884403769,38.21252654734608,39.64287850260829,39.20898798876032,36.461350576597724,34.032801345508524,37.34055257927125,34.901550238892796,30.575847240918566,31.330865381598674,33.938619506246475,31.03738378220807,27.724299526345092,25.19459917402132,24.486709838173525,21.836965427650956,26.485999095561315,24.265013586509667,27.22650378354125,27.780599507589958,23.396529460059465,22.540364970842212,20.9049849894304,21.8839178742299,26.546745200644793,26.837587861229675,29.719397168634792,29.205963677964775,31.62698210575495,36.803622551821434,39.273347385527046,41.472055124725465,36.56701542173733,37.01682224508213,41.23710806619269,38.96242435130544,35.73547895135267,39.29252489369807,42.68614985320407,43.46107809469698,45.386472758127574,47.19020079570078],[30.821233210229465,28.39140641557879,27.38629266643293,24.115684000094934,25.04953217047522,30.12245175550113,31.13284318780203,35.641041276274215,36.19100039968225,35.85434434081922,39.29328160770574,42.38819704301097,39.55449494922404,37.966398128215054,42.9671812072401,43.54423411731387,39.83231576076536,43.01996261300169,42.40055634335414,44.50563695590482,46.19587003553485,48.61462518942155,48.23613356162884,45.566632189177156,43.79532390009879,41.32024342070532,40.336197897243785,38.50988838033792,41.81011020057855,43.42730990024949,48.128705931699024,48.02711163671902,52.38044582882053,54.7473829466196,51.30520342153863,48.145259272647245,47.17648396940109,44.555323085813434,42.251436078841444,46.029389761963614,42.121374142337224,44.992525922300814,48.57075713809486,46.08327683982319,46.75344891838565,44.64948398397964,48.19841034946263,48.7171698512293,44.208893469127446,46.84920783292457,50.29980683533605,50.22085866808275,52.94513720136199,49.02709811305269,55.191156862167006,56.51229625403881,52.93604220018513,54.419040555968564,58.85996929346773,57.01132592179585,54.195334504260444,57.4976555800124,57.09295501918154,57.546967257631316,54.07773395992483,51.699759073761214,49.48997161236661,48.41667201184668,45.614683669112146,45.627343618105186,44.10334710054112,46.62009850153326,49.10684624315425,50.62184050541178,51.30116454298277,57.28111073716529,54.69119893093741,58.54719822938623,56.280583108292404,55.59668521346356,54.04543796293222,51.48678248864427,50.616192687398126,48.745180135345244,45.01223435969463,46.34032586713721,48.426136898189796,51.33907342469605,50.922998422009876,55.93702749387805,53.97121172266921,57.601197417502554,55.15086231197658,54.073576210586396,49.639637859894094,51.12726896222493,47.0027018460727,49.29547123415228,47.14182372941754,49.38824647985208,48.704282540427045,47.05271762233288,46.91123408902413,44.1013814392354,43.52820553794687,39.45729459955348,40.90512053102753,37.525200121146256,34.660909683621945,37.34880517127948,33.86243015385029,33.82807857361207,33.16161782692915,31.294419162939512,33.5171794512485,31.098022114224044,34.37552089400247,31.92220105931577,37.197865180241024,38.61633025979279,35.914033535965885,34.62874891300809,29.90809003367994,29.34825793707153,29.307037326540204,27.38415664506877,29.07847421605984,29.354527104148293,30.49731208224999,34.301052049118354,30.38744565707226,34.30581501186604,33.38836863145024,37.250635640075785,31.789578926261328,30.138624024346026,25.052233482048813,25.404371928867942,24.72676952840735,28.337126718980027,27.340875767334584,31.65518950570754,33.9369777281626,32.84541330185063,36.28270186208021,37.887462397213255,35.07176330237708,36.82314152685153,36.77672833892217,36.74709192276534,38.454664690523984,40.59319868311131,44.62796191034893,46.41160898934544,47.29951426401249,46.22912167651248,43.441375288388656,42.46515273034732,42.30550656435204,39.472756536493655,36.18344022279686,39.47322971544945,34.3222106699928,38.48272596910969,34.96555601019911,29.52143576149362,31.080284910074624,29.096190716023788,26.328589264717717,25.40954933515268,27.839173346812178,29.188719946735763,34.2989257381293,37.70073543993979,40.86272128000996,43.49068456943378,44.099273310577736,48.48725326529936,45.697996835898536,45.79513131603646,41.31269360532443,39.48519535689624,40.236972545078764,40.47054362537143,38.04638984804106,41.581702015338934,41.978644185601254,43.11945608991522,39.710742227961184,40.38341453027914,37.85217167012168,37.07482036058758,34.49208018942505,32.84233718124901,33.34105582560835,32.73949319525691,29.57185955581391,31.824888604435806,29.78489174612493,32.34465791951532,33.8619870909192,35.67938235662402,32.283464384108356,30.09586359946497,34.04416951390131,32.910045126551,26.970596534850024,30.380320216035887,35.42068204186377,30.688382799080028,29.235124179890594,32.91824895175272,33.56848374986944,29.224023139834753,30.331785670304818,27.991700358102662,33.024424093079766,27.56399976186948,30.102093091244964,34.117339959312694,36.61094334189992,40.53019824365004,41.111667168606765,43.48081256671949,41.94772357355067,44.6249331016268,43.368848922427524,45.24362075101983,42.79782236871768,37.745423400254225,40.4840138655428,40.89017453568286,36.29541449106811,35.33575309505474,37.62954305469256,34.77262372890893,31.09861432694296,31.539649867789826,31.113323467131103,36.24650429109123,38.97737499851982,39.908447903562966,43.47715504453722,47.018744059628574,45.850802797644356,41.01143296813649,43.35292836604336,45.91768525131442,41.71702274390027,39.45179059249856,43.00433410051982,42.46677222000631,38.38578106157569,41.54384922619027,43.51844183920301,40.28109190558961,38.98181579097067,41.98910032111203,39.362852612922424,41.68935073834895,40.705796713563046,42.285943199843494,40.33460678970695,35.53543433812144,37.53219752889285,37.01975290110036,34.002181620825866,32.03222541051675,35.729580013436355,32.967061226159274,28.505029464704812,29.978125772001107,32.713810442347096,29.47620354757064,25.9948268940064,22.872100642993257,22.505088838161345,19.155129202272775,23.410924110052928,20.769723411199173,24.008103473432552,24.19934849891646,19.650790329401115,19.390207491906384,18.24450414323993,19.810357909279247,24.482721326586635,24.68609808324205,28.10519431866529,27.301391721384825,29.036471707357492,34.480662003574444,36.714793803406884,38.928948230445975,33.88591675445995,33.907183379355544,38.051348096836804,35.96199817517656,32.27438426155658,35.6627118801371,39.092547064153955,39.843047103013475,41.86897836253083,43.78183882360891],[35.23963103109191,33.07737414003792,32.40033102570636,29.492920329099558,30.7267078277686,35.76081690176619,36.98658894684776,41.49506369266293,42.04274704774755,41.79303646339556,45.19701337850686,48.31792399751088,45.54919906917753,43.87412933193302,48.88469017298385,49.51379779748056,45.76192429782579,48.85426642866356,48.024371678509745,50.173375259016936,51.67365957146487,53.993530648684334,53.44728512600223,50.6072533492941,49.05794151543403,46.73839743119427,45.94501545441851,44.280376039757975,47.68270889383758,49.39139630810681,54.048807107157614,54.025013852009764,58.37546404754988,60.69991399353607,57.24898226054368,54.02903379795842,53.10397487361154,50.32816810157319,47.93634693042526,51.51566155580755,47.470988566018384,50.47771191947332,53.955017411256485,51.275046234118925,51.72269692523135,49.39101292809428,52.8275129588002,53.643364864476226,49.09454721649165,51.495619219109265,55.189405865395756,55.16994367232789,58.030039379225045,54.30849175635203,60.54751474759778,61.70941866611706,58.180984256357654,59.90536953342791,64.25298648773867,62.18275361699281,59.530211824963814,62.959888249805246,62.70635879376246,62.97429199682622,59.450183398495234,57.255767276815675,55.01714347110919,54.1171234473198,51.21100373389319,51.34014275252288,49.69186592707822,52.0696750970057,54.71938588274018,56.15555657007206,57.03006993523244,62.97686867869979,60.40514924620561,64.33692757171741,62.05234220748858,61.26669185889566,59.79879122295231,57.11381032135605,56.3606382703834,54.326072592908396,50.58543102248805,52.0903630646138,54.14393651881444,57.188084316731164,56.72035319339446,61.821264331097666,59.82861909668219,63.41801317397023,61.015011915359864,60.00160843848629,55.577905601970905,57.01693737122336,52.88765784856929,55.27781427325746,53.12670746077475,55.32852597093623,54.7068988840632,52.97652157406465,52.85510793975323,49.94023846032627,49.188543513174466,45.13626652853337,46.354459527700435,42.81979241756821,40.012810420220426,42.891561651583125,39.53576418751787,39.68721616206356,39.117185680187035,37.29006860628881,39.51627520857263,37.043234043742224,40.22889048239469,37.616742812307386,42.73177553529555,44.36743116842809,41.63923654044271,40.47218670758393,35.74098486146552,35.30135633960911,35.29222921127771,33.38570201607272,34.9269558504591,35.18028628395214,36.1141698215439,39.839889829145505,35.646301677157204,39.326628355634526,38.43000407245166,42.536658869763144,37.16417072356927,35.81312134043401,30.610253184131984,31.207939812540964,30.60590539163435,34.13167943570715,32.86425462233811,36.93994671998743,39.46692120694265,38.549345588723476,41.934300109767804,43.73015178480335,40.97276841749863,42.80344904643777,42.74741822980384,42.730818143386806,44.339880173010435,46.46158828271691,50.42369646071026,52.09994075934053,53.13692424914711,52.14198276058492,49.413658539150134,48.39305455445438,48.29583829156764,45.362171381300925,42.03739589917992,45.32756402105424,40.06797940198888,44.10699680139571,40.3479691280057,34.81725681720332,36.16620158922905,33.78041187167716,31.164976848082205,30.674727335173266,33.17626929989999,34.79305309180037,39.84303025537053,43.32589619034183,46.58867365819222,49.26657197689951,50.00473963847767,54.298165150901994,51.40508722835177,51.41522399128794,46.79688633153293,45.08607930898494,45.503016621765546,45.50455169036828,43.21834787920418,46.744107728451375,47.28762978839209,48.058041682230595,44.51671740998129,45.03501528235819,42.35027603207504,41.880360823394874,39.12293431517883,37.578996444225226,37.9764175656443,37.131113965484786,34.307966080721,36.40399779026078,34.34127403733501,37.26393446796009,38.33323986004235,40.4858453184076,37.32589893154538,34.649928616652026,38.423711152923104,37.66934488924347,31.624592300648718,34.53371864350943,39.72018734611716,35.23149642852135,33.3604593830788,36.795075725858275,37.85635511830223,33.39136282328405,33.84192737051232,31.493085970722646,36.17282239918216,30.265693176510023,33.339895318264695,37.150639904844,39.30980261488203,42.926214924222656,43.55741372830608,46.42557191766332,45.18046263232434,48.023619476683834,47.23572754952778,48.7644107971395,45.94723447615077,41.38462645693704,44.25666662373667,44.07082128759693,39.48584572026267,39.01692477900021,41.21104021194418,37.69705495590044,34.27644319082306,35.44685630804764,35.20027971730832,40.755172978686915,43.24737612420208,44.19903646664871,48.0011335739497,51.44172165405316,50.65520373265001,45.74913480265459,47.80789541075047,50.65448724918923,46.67851512398663,44.08891340256166,47.58675227839291,47.21340817279162,43.00458569894832,45.77385528906587,47.82012596324548,44.69921612320575,42.99645409128902,45.762230433123335,43.081649801300934,45.46367018916493,44.77967860813647,45.99031720127395,43.72699212340947,39.34649176576841,41.273358804633645,40.20915603595092,37.262252798921544,35.675536141300306,38.73972400500781,35.492209864013866,31.613413105106982,33.18182784563294,35.10391433577924,31.516585629362716,28.50139828348482,25.9692245247528,24.43978175405135,21.516085834473056,25.70969859062921,24.096163229069003,27.86374876528612,28.64589330122245,23.92312247806442,23.765317886490024,22.119925269733404,24.1293268520238,28.758528514130603,29.755032278221794,33.18945379586287,32.83498134180938,34.35584186273019,39.82098070237975,41.82943740936716,44.29690878266462,39.35191751687704,38.99984861673346,43.19142892828059,41.47206272978318,37.50110049028356,40.56825630965549,44.1668645886836,45.01299457443419,47.135393579213684,49.08179749005274],[36.027467198360426,33.52962138911757,32.1880394494957,29.800540628236632,30.13092009764656,35.78389561179662,36.91611195325379,41.25726612953265,42.35179613901032,42.10393196573683,45.67115006926435,48.54535778516167,45.504800430110556,44.33344121052958,49.21988691423731,49.49235931409962,45.68701839414085,48.77897074219645,48.00301943085648,49.70209376936466,51.269755277945514,53.218820446098434,52.86290873029091,49.98947731891544,48.260070056544954,46.27140878496104,45.23536775478634,43.800748036770756,47.21972354701162,48.86034944606879,53.98702802499278,53.587389961892534,58.05947892183043,60.30712513720238,56.6244773934438,53.440559681089745,52.19639362649872,49.32746474600899,46.699789557316016,49.766269909050585,46.01124011452966,49.43583796063635,52.643378173658945,49.81210132687384,50.392194764711384,47.92500305570041,51.213209763482574,51.95971220639928,47.27176842358224,49.29657913990352,53.04762936431494,52.82826477017311,55.825180885223766,52.375985256675676,58.57774622387811,59.82688189464639,56.56094320294246,58.44459561269854,62.71666708720565,60.67854217226386,58.39014155403967,62.07758363311434,61.98586433570222,62.469381839043756,58.757893652469654,56.54298880857428,54.83116613394203,53.99231393473149,51.49216977297554,51.79623190361012,50.370837175283704,53.033889347036656,55.3547592782796,56.544914797199105,57.14678765548855,62.930646299314155,59.97168780789516,63.832565251503546,61.253273658272626,60.16608163124836,58.49741389978257,55.47390782501935,54.68353206833901,52.31684442583874,48.702235970498016,50.61113103265725,52.92729659474031,56.040796112483065,55.95219869451843,61.188484409230924,59.538670361452226,63.378502235199264,61.108100034300186,60.06523353709135,55.71943169181497,57.45688511185374,53.39984709014567,55.28816199122688,53.050320192553215,55.0679690957908,54.10449289099999,52.018322028567894,51.694293701291755,48.492503817679314,47.16907545982384,43.27951733998479,44.12681710911653,40.356095310138805,37.86674942099808,41.05632128871157,38.1460790897172,38.41310571181828,38.456752553297825,36.57861543735622,39.292244088070994,36.854799018728684,40.075950484393225,37.51038801695868,42.85336370492399,44.51458145719867,42.07993924422536,40.89487408151667,36.16287819631739,35.51580383057246,35.388009311706284,32.790638026389935,34.134654697846834,33.85717831092324,34.31172944813613,37.691156585626224,33.12359081672526,36.4315367937543,35.483412464350025,39.88000922947676,34.700545203088666,33.92638577135787,28.57541969633652,29.774224933844163,29.725750262890223,33.13548709367388,32.21989565638902,36.063026485269454,38.79714718918944,37.723156629498774,40.88603026036009,42.8665417102553,40.195068905481605,42.06020394733485,41.7967073350319,42.173083212484116,43.51221162565148,46.111872791212775,49.77192535940338,51.94605479961803,53.00517155116982,51.66293666165205,48.95799217898148,47.515304733570154,47.49139526500959,44.04550569767289,40.593041151277994,44.0699083186282,38.726059359569646,42.462132722248086,38.3050004005253,32.86590138986625,33.62553180035271,30.987874597624394,28.30480474011569,28.444196476394083,30.839678932133765,32.96967966407863,37.811452657839794,41.36736525655111,44.821013327523914,47.52075306850109,48.716902438875096,52.63340768259137,49.58026909588809,49.31460234870381,44.553001590958864,42.94576037430199,42.81329370151567,42.55380112704353,40.52953127863553,44.24610281122248,45.2070503199449,45.56383819536943,42.28382828124481,42.30020247998064,39.3741304426018,39.00231656477441,35.91932218482684,34.369793846765596,34.59750254710253,33.53508368047508,31.124473360988258,33.17450906281299,31.37810351972299,34.72053581123874,35.66015246920242,38.26095174903403,35.34117838571693,32.456559983387415,36.31737651447757,36.11847976518185,30.163002509884954,32.85009423524188,38.3051643989976,34.395555808000154,32.50199962445084,35.93655484317689,37.42271692272158,33.28924244713035,33.55148252838646,30.81186694040158,35.31981063632752,28.724578912435454,31.617683267119613,35.46520200809406,37.02187115692856,40.85722908250677,40.94743256840655,43.77186723436871,42.320769799504234,44.98289649830288,44.257691606594236,45.38186153614058,42.57712044738848,38.2442376481976,40.882982723723316,40.31187957906155,35.863321883831084,35.49159523129315,37.37378217810731,33.644477138756926,30.507318443656114,31.745419407674085,31.99339937881954,37.65019414042286,40.033875937035454,41.350169335088054,45.244130597478545,48.84785534138151,48.25234481701465,43.32797127622279,45.57827271320584,48.66706516134023,44.867992041894894,42.286373575845374,46.06426839850762,45.997441998805826,41.81829344077075,44.37276496983132,46.755970067541114,44.03794001227629,42.03402987958079,44.57222437242613,41.62041035980717,43.61136478328906,42.69415011153946,43.54230536926934,41.586428896454855,37.3513764720614,38.71147333957768,37.59782643302853,34.92984075778889,33.011521527749785,35.608260596228405,32.59419372585976,28.91664067295548,29.91905731224759,31.617354301376096,28.296455113937462,25.45895500386303,23.545013957132586,21.64942574195241,19.477872422899715,24.07146975005527,23.032667889270552,26.527074331114147,28.00196612431109,23.44756809447089,22.559673717473853,20.239109332585073,21.87299281155596,26.41616527552157,27.94901863562066,30.982286877250587,31.291429924874464,33.15720639776665,38.37434262732918,40.39367930926895,43.102303088571134,38.43277646341205,38.18819856912947,42.54690901779578,41.07071630418562,37.39692038297656,40.38369933508794,44.156081540557715,45.250358686857496,47.40398515976443,49.2835425643051],[30.99255096094248,28.326143731422167,26.770030539886474,24.431625498953164,24.63930522857113,30.344640752678142,31.55229495416487,35.857612756576756,37.09974291758424,37.05093927437516,40.674714530020594,43.39507740167396,40.51648948049199,39.536075020874186,44.450469953584495,44.67657777311816,41.06185699833847,44.40061333941634,44.05124207627389,45.673358539691215,47.56927285013263,49.6554125125818,49.563755264424564,46.93537008385909,44.87603868241467,42.67415005748224,41.30096278297291,39.58017906645412,42.76293037129159,44.12304527242437,49.35838516321814,48.693275006997254,53.15641213295736,55.59775708754927,51.93922132311127,48.93635541654667,47.50043565144512,45.01654335900019,42.50995856794609,45.79205078303825,42.36992504270078,45.66580808662866,48.990827222112365,46.4283157753082,47.36252890962309,45.178174755902525,48.5890841332538,48.917211134057524,44.23752825219166,46.496664249715906,49.92834770139549,49.53440208864456,52.3875920043565,48.70828257364276,54.77671246280039,56.33568400411579,53.06355671749709,54.58555640266643,59.00552743609077,57.32824239648071,54.851334724901264,58.36356136072127,58.02700465516251,58.83304780398894,55.20540619234942,52.69020777108662,51.0389033598064,49.887038045516974,47.53947569545565,47.57097653756405,46.341858863967985,49.15619304777737,51.26852489107666,52.66604662717197,52.94597141070569,58.804606319042094,55.83914996843978,59.53992174883137,56.98104829994784,56.051771578760956,54.15228415290845,51.273010593426946,50.15881461451954,47.987659583832375,44.46653203622181,46.18047532910892,48.68208647699907,51.50630483438472,51.63190599445823,56.67163041480038,55.094773950189904,58.99542447373076,56.58427899891032,55.35142821160136,50.945285056755054,52.676133743719,48.58264930732552,50.28543206996269,47.9172026028188,49.75265374766628,48.95092732944413,46.722790370989614,46.61117245687965,43.29527073981909,42.21390986177965,38.15655482898941,39.054559857922285,35.380765883889495,32.67755685293452,35.77989239126491,32.75369771946083,33.176759034016314,33.17557116311286,31.52361791173119,34.42441836676144,32.23275455619067,35.691412002674475,33.47512721407056,39.068008632964684,40.309807553149206,37.88789407615705,36.42307766885315,31.76702652826319,30.78755960401544,30.348990399862156,27.719968387127498,28.734534110989998,28.612074994214463,29.095768755502462,32.700051272665476,28.234598245263598,31.76207088749788,31.07845643471073,35.267922966527856,30.119762387053324,29.104156396817206,23.66275395255553,25.01522087974888,25.15733480567571,28.756732089940495,28.46679773088343,32.646175524081734,35.01308789919668,33.595216159256715,36.80678869999985,38.42133641452722,35.61469195165595,37.19061512135828,36.73013592840038,36.944486163009,38.13964149227386,40.707641943412874,44.31223703955795,46.47727097523054,47.60243893281904,46.2914839275866,43.6861327759292,42.2086733750818,42.37147043780975,38.90962183958918,35.73618751604077,39.43262359097367,34.33225805468326,38.217083638467585,34.325461627883016,29.066914473678235,29.832223108504586,27.719720223915584,24.612038907407758,24.43867489245573,26.58478182453674,28.56120721478629,33.4401289149079,36.86011219236781,40.20701614216571,42.709831156734964,43.85469827723793,47.818531448780774,45.01623336553115,44.71771189215333,40.20551086167886,38.19759460827068,38.461902029810524,38.52829084771629,36.475555140733775,40.44746247104733,41.39419387250198,42.1880354687587,39.22244027041899,39.23555120353921,36.38254840671821,35.54409788795726,32.44125639831498,30.57260278110625,30.685060114901137,29.60508625216502,26.69428375107889,28.659939549038864,26.610279321260087,29.68137347558458,30.754535992171046,33.099569307510784,30.049114206225955,27.332030906683578,31.25506492606184,30.80206691526413,24.847393463924327,27.794192534094062,33.16968868045459,29.108636365620068,27.40628524545883,30.983125566799966,32.266915810356664,28.216235751565254,28.820535384397044,26.064534042441256,30.806583652177125,24.529457289686317,27.092160112411555,31.09075815592111,32.99425521527105,37.02808256131617,37.203601130210444,39.69640102645698,38.11778496818808,40.759475764048645,39.75708506076361,41.25496325408265,38.6397611359489,33.90454778739769,36.61723257300518,36.57490727074177,32.01207326106009,31.341385973413104,33.52260227550839,30.24477803349315,26.738984559280496,27.690965456980113,27.476839221602564,33.0012709627162,35.50028976655583,36.60490779041707,40.395507383502526,43.96832697857306,43.18478867269358,38.27147597213391,40.55413278250033,43.48328962953381,39.567577353082314,37.077703381969705,40.839557541761835,40.67235007358997,36.53157728683893,39.28753641102879,41.61254165949325,38.823674909223655,37.022050549682334,39.713506376889065,36.810101686513576,38.830442868579695,37.79505491035677,38.9353049143771,37.08118949514619,32.55098609072749,34.096624174962066,33.321207407140406,30.519829613099073,28.450897400445694,31.617141698035603,28.835216822806334,24.66072100236842,25.82885710346238,28.18765969255537,24.996835233204582,21.709100729024676,19.1704816632636,18.233269867353513,15.528646185731299,20.159433822315602,18.351877709446754,21.55877345534459,22.74745587398942,18.278738590064354,17.2992013871707,15.244310090404806,16.775477491128036,21.399665007953228,22.578677012256012,25.765035045556786,25.892041398302933,27.663653540043665,32.92687979251719,34.9749681846875,37.62203383928602,32.916221557536005,32.71879192568784,37.07078616647164,35.55642831505533,31.940621062312676,34.99678576315898,38.7401400254907,39.85534339026199,42.00743227371706,43.89828114461858],[29.686812700808613,27.475204427630228,26.762195847609746,24.464276929227818,25.871986104820163,30.941818887333262,32.62569884958898,37.03529200196779,37.96620020240019,38.28611647546948,41.80197692464332,44.57918878216888,42.223703184008265,40.93119016547337,46.01327478091922,46.549103923204314,43.1619491643702,46.68539685562609,46.54347932090035,48.492850323059784,50.48891165921387,52.90244639541534,52.76658498522403,50.23753246016682,48.209706227431724,45.689827516271215,44.35522755242063,42.31012967796683,45.322463560608355,46.513670590348084,51.437141890870095,50.84995766861559,55.19609742354022,57.88485962830844,54.433363720871164,51.549426065324276,50.19825730537952,48.0632623466587,45.788729338440696,49.469208786076415,46.045240519826585,49.018254829796454,52.55793904161132,50.18923345340033,51.145823239693236,49.10973407610274,52.62695465936291,52.89932826377762,48.300904251346786,50.801017380351055,54.11857066970264,53.75401810047194,56.495386542175595,52.61016851315555,58.620949641702985,60.2680201209147,56.86258175084702,58.14140927254678,62.6621585003811,61.10731468692991,58.34642886091293,61.614928852667006,61.0522134113815,61.84600936979275,58.39283405142685,55.76802495892645,53.74168538386673,52.37995393844318,49.76152823458702,49.462900231274325,48.13642936846409,50.74898291495171,53.07451566785686,54.82772777015023,55.17151466170964,61.21369360480585,58.56170867447291,62.217751640469295,59.89029146025613,59.25623588214479,57.34566423572382,54.75191369929235,53.43774764814806,51.564758708099305,48.064411910480956,49.43992245667502,51.899483458308644,54.480052376672404,54.497015649737634,59.29720577791366,57.50717735964629,61.23630463243087,58.60396986373412,57.23675787129653,52.70046643473184,54.119977349299646,49.90472146959188,51.9153133269245,49.45552840435543,51.15192966975616,50.924409462496605,48.71682287192558,49.06856017330392,45.73383389987401,45.20326828556804,40.8734031041183,41.83268091106876,38.325896592959666,35.21112726038279,38.1362557966343,34.78083770981959,35.533791178416486,35.03897810818519,33.77204290424109,36.44646428114953,34.452512373978195,38.050156938037155,36.00471844000067,41.517506256403394,42.50851919715593,39.812417126472894,38.162313899233375,33.56256525642154,32.51601338856215,31.847122053451393,29.871644801280794,30.467822447930917,31.021309516081548,31.710188578687802,35.72553182780917,31.442427054399857,35.14761133676617,34.854139493045075,38.79877628075294,33.73269457136797,32.330348614817794,26.905500418102363,28.120303240993,28.027492555902818,31.81709005610661,31.577018935949837,36.04155446372116,38.11697571312531,36.65598270763472,40.03883972974388,41.30379710328904,38.3475160197168,39.64313838353965,39.11727745662868,38.797818258830006,39.91550273753831,41.987397077977924,45.67210654708399,47.2464268854743,48.64203641215414,47.770496956631405,45.35860871863259,44.14688978670085,44.56223095826204,41.412541987282765,38.66686729546968,42.43374869085219,37.58513033131781,41.717150973060235,38.18619911025385,32.998369913451796,34.00778576426662,32.19318890832923,28.966218281162263,28.442432748101528,30.466592904660075,32.1095500986699,37.070074812002986,40.337294430303835,43.496081114129396,45.79124348147118,46.65273258446895,50.836456394714595,48.3498724575728,48.12523761683449,43.88942626647402,41.50232345401031,42.245320287238144,42.59213141229573,40.500172945800955,44.54707090047695,45.322449443440206,46.457412673362484,43.496657042660196,43.701918835865726,40.946037519482864,39.92548531899285,36.88494061969111,34.8516591343829,34.84691306541563,33.63171797441749,30.36353909088094,31.995060369710846,29.44316382003439,32.2244222003463,32.90941810585164,34.961306173851106,31.92686872111647,28.97787872845077,32.54931367564087,31.817199890284638,25.74151318399476,28.436270688707847,33.58592335297104,29.187691532232623,27.16140590969829,30.525220104614306,31.743629407912763,27.32624909685373,27.599751699747063,25.19151490758782,29.84556362872597,24.01489054525938,27.092323244095173,30.886268562762407,33.23795194701567,36.840735189824784,37.65080290501506,40.47211084251383,39.34924039683767,42.32258181769228,41.620929406095776,43.39107664012272,40.494282968319126,35.87823934199419,39.02135502406566,39.07710504673554,34.37357110304266,34.00004802643917,36.60294048662233,33.152725512502336,29.455675072615392,31.049986289607194,30.124002421960032,35.85292296736161,38.18527010068848,38.7244631726494,42.58073818148314,45.78108094978221,45.15884276195158,40.25007267696736,41.96591695049735,44.85600446821245,41.00563404929098,38.190524097669574,41.56444568025623,41.23900883077957,36.97207022129475,39.591807841259396,41.63571936427721,38.58696200896237,36.74098631298348,39.459600946533484,36.797695554760864,39.25680127286847,38.72262931519671,39.99019407510711,37.5676594681468,33.21483745616209,35.37114602262207,34.25869550082566,31.19857239782542,29.86223270953009,33.12752861114973,29.76081971642394,25.780374746922817,27.782811482583664,29.838225317935347,26.12282366048639,22.948991134556874,20.06492091407353,18.88231193823998,15.550125513201397,19.561055548656476,17.80612717149475,21.659720947847827,22.609832159274607,17.884368820832982,17.809895598513364,16.21626676896009,18.625681376951842,23.121397562431927,24.42546129991372,28.11817156150564,27.990255619796162,28.969903175028794,34.47607212959999,36.2025618221337,38.87850016219193,34.059389088070205,33.295544426753665,37.52031378970553,36.26506723103417,32.06270657369871,34.82043730993313,38.605922121396,39.66505051062297,41.92840650523414,43.93289358646453],[34.54092470123235,32.39639847363009,31.616994076781467,29.69674709421136,30.837663606781867,36.134120109388704,37.81955907528075,42.16755380922839,43.269627900370054,43.537047524773335,47.087424460063886,49.83801308872164,47.324756576163516,46.12340607295187,51.156067752041636,51.58563011491938,48.07280616101963,51.4641440843148,51.08197175830492,52.90447820829932,54.723463719732806,56.897866661048404,56.66428077462111,53.94809473417564,52.06298677312894,49.817274030071495,48.59350721676252,46.817677604275225,49.98536831916997,51.30340861421748,56.370198897199316,55.76316207065034,60.168218537411505,62.73696876462086,59.17031568703218,56.19979490477113,54.805579737576515,52.41081436834094,49.94795983618633,53.25519020916224,49.75830907188767,53.019028151313094,56.369805869736936,53.74816666827703,54.5305881461346,52.22616496498005,55.59582957496766,56.131052602379306,51.44090444007761,53.598053398629894,57.16879564431269,56.807559985812496,59.7262966140449,56.12075341924145,62.20835536124896,63.71187170350281,60.436956720049295,62.024389103487046,66.42535399169363,64.6507854081191,62.17756214230495,65.67906338954856,65.3408954463776,66.02031132910538,62.42825429509912,59.98280887380377,58.13022163750848,56.98744822333271,54.420729952299865,54.35196253296135,52.97888616196282,55.592567378666516,57.94757291854183,59.486986072921844,59.934130789991585,65.87919847745928,63.07404683604306,66.80177434695791,64.33240270442514,63.46787220604419,61.5924447345187,58.741168143227966,57.57838254536748,55.414695561287026,51.925862358949054,53.626454007203264,56.1178096165834,58.89922937927087,58.971717122866906,63.948532753419315,62.258169884899544,66.0556709139033,63.54751249510709,62.26717101836254,57.784420424542205,59.31019944893326,55.13157101709638,57.0524491214558,54.6060100010502,56.27349752962706,55.868736086511326,53.52408646494713,53.71890576500114,50.2511715355214,49.29924144822475,45.10822873805133,45.77701964553966,42.056158888475856,39.19045926830255,42.37612667930574,39.32546503039234,40.14370495020748,39.97575023151794,38.59921442339425,41.407586825279104,39.29039787608369,42.77780023471483,40.52806414554452,45.99093467030064,47.2595827579067,44.65708218851947,43.16225160947461,38.50482899320555,37.56781882157644,37.00726740786119,34.745621035035526,35.35494654076767,35.59277268681326,35.972367015203865,39.714848039130466,35.097665414599206,38.44570848133106,38.048471197526354,42.31179248342904,37.351655342361106,36.418249282358246,30.900729709590756,32.40614092438982,32.488901187486704,36.138732939585005,35.66712032098501,39.83655782309665,42.252105237913284,40.93168234117188,44.19735797009492,45.77092844391765,42.91958018575396,44.38675226215653,43.84977863525441,43.77201833238698,44.791279295183195,47.07535612783909,50.61295080919983,52.35360588229536,53.803417062572215,52.80689589910515,50.39347155568952,48.99379519491433,49.39575957507066,45.983134169939824,43.05224490491908,46.82110203678998,41.77832767679256,45.68881463352558,41.77313874305199,36.499409155496686,37.17778014872121,34.890715871995425,31.842600898782756,31.872378301626014,33.98958468020607,36.02578696351961,40.8776957653707,44.27261206281122,47.60480866342499,50.00873973955446,51.145689897257,55.11553147725433,52.416518572832445,52.04341177458214,47.58786491636357,45.43999172379177,45.64900774346739,45.66111207354678,43.75509603780294,47.79723323097083,48.821888614160656,49.46349838067948,46.43158887615355,46.35671614489544,43.39739111871968,42.718577391947086,39.461835349965355,37.57995896395135,37.48937140662213,36.060179130093054,33.31486188715896,34.87236322994798,32.52142152933262,35.76498710820362,36.10940610615103,38.624802090832745,35.87867311584368,32.54299795713693,36.01880255496084,35.84156125286621,29.803339379387364,32.01477397573388,37.35454155890837,33.452027660937574,31.153201056751506,34.290302573770724,35.99200079426688,31.6925968227413,31.393014108397516,28.835253982643135,33.04696105610585,26.582643958737854,29.96437535318181,33.55609976125541,35.27607342060937,38.69136258357271,39.258332591947266,42.46535255787208,41.47542891229695,44.463690642561716,44.16581455973204,45.423520329088625,42.25346631369672,38.190956132857785,41.27231565057791,40.635105959126584,36.056953260901935,36.11911665553591,38.42901667089298,34.359955306523915,31.070004476447952,33.21178702969215,32.75346201471877,38.781783889523005,40.887783402886846,41.66608503625626,45.717237367507,48.932054384800814,48.675976462749624,43.732117321685664,45.35962903882675,48.561593964460286,44.96579911987263,41.960172877955195,45.422089291394116,45.36267250581787,41.050134497124084,43.2699199666123,45.517525590979886,42.76288213569585,40.49522483457932,42.89532536738086,40.077943661751696,42.36102510161049,41.93733551395089,42.717483115836906,40.22851181894481,36.32284221570545,38.09760233034463,36.526120088174764,33.707751823332025,32.505178827756005,34.96310640170343,31.34595817912711,28.02618951550984,29.749389241297102,30.967552615516034,27.129664269300523,24.52558365773444,22.560483905604684,20.16056085108,17.753324738883354,21.816648555893636,21.30269335519636,25.313758484238278,26.99224084186767,22.334942034804744,21.964318086643406,19.717130562041376,22.12618070723862,26.481556901296173,28.53566975890772,31.96914837357989,32.414931393709985,33.505567204824914,38.86731416815528,40.473340840643495,43.398577704352746,38.7777181985716,37.87680322272135,42.18091249733903,41.228969343520745,37.03140949348593,39.5572942313741,43.48973229793435,44.687297292971614,47.00411214381267,48.98296268728583],[34.559942802949564,32.07907868074715,30.63711447419896,29.156995935774933,29.426836174208784,35.224491584742516,36.78101166454621,40.94356048741613,42.519914368228314,42.774525145415154,46.446107607468356,48.96299967036082,46.22327458315665,45.47718846527695,50.371899686749465,50.486085362534574,46.960160390003836,50.35184261483855,50.061813082557386,51.48681906432339,53.393000416267995,55.265274079978916,55.22845008487424,52.53372133505659,50.46205208375988,48.47548281907675,47.013764158839805,45.40870859471798,48.544742607191914,49.771842283901975,55.22337288055639,54.278611745577884,58.768940745792236,61.272956977833495,57.52385016695476,54.61407432154233,52.938546579035446,50.51698720704915,47.88488514418737,50.77006658693149,47.58500255965071,51.15559889631244,54.27881733560732,51.585231569574155,52.528826259428676,50.173261648596345,53.4213566021877,53.823502125163444,49.048538948188636,50.91965643129226,54.46360626283912,53.9108324449088,56.90515399718703,53.510933785316126,59.51907661784463,61.13500272954177,58.090759407844544,59.75288210416239,64.0949063655501,62.406495848207925,60.218303990763324,63.89722510907944,63.66504879882508,64.56591880147894,60.84065928255794,58.34906066842597,56.95578124462401,55.83340040674767,53.63894906363463,53.69337861355618,52.53554092541208,55.39705298884915,57.43921150257723,58.78406517734493,58.962767902498555,64.75400664322295,61.628942161618106,65.26559393460617,62.55760207464413,61.46038188349885,59.39606398411775,56.28940011578516,55.06373516486852,52.653744078221614,49.300613670930524,51.308049514485084,54.029478849571426,56.82439701881615,57.23958864434287,62.290945601963315,60.90627637312532,64.91016907752581,62.51381040162118,61.19968875140049,56.79952614998731,58.58127508172214,54.48349939863783,55.94799893013098,53.43531259183972,54.93963722162941,54.23235790891588,51.59234350927759,51.61506131976295,47.917143432478944,46.4978954828245,42.45869971294594,42.81367148848074,38.92034160855658,36.336908331830045,39.76294646231775,37.11552579123128,38.023946593090265,38.38712642943453,36.98711842451346,40.20005097369156,38.14902690585256,41.65717875204613,39.50288834853387,45.14109414270395,46.37765211609891,44.04222227066024,42.52119030633199,37.907348586141204,36.779928136642596,36.11024858530157,33.275350209087954,33.70152103892351,33.474706290989545,33.43646824178191,36.862634449324425,31.97063957703057,34.989782621644274,34.586397525170284,39.04284826671028,34.29640219912058,33.842145821679225,28.25497620721167,30.281171827269336,30.853603538817655,34.37887366644776,34.28542669348171,38.26115988032837,40.7736407638034,39.29197320780411,42.34960349910547,44.02127740630977,41.250888057441045,42.70983054625181,41.985474503290625,42.24226520632041,43.02366116729454,45.71798383845405,48.981358522241706,51.17365990328808,52.610680653919644,51.30065208321928,48.91300929259608,47.15407445672225,47.61809655848599,43.78690042928202,40.78836029810289,44.71006208333525,39.6640693925588,43.305697872773365,39.126168177975494,34.014510893054016,34.181562429234624,31.79641454802174,28.656810679028876,29.184561778105127,31.135622711240707,33.56480023967243,38.191390269863795,41.60058994587,45.0582979064401,47.44585053849218,48.96016224746443,52.59242133997499,49.79776370784537,49.19192750848144,44.67035787561278,42.57657864311106,42.3622612789376,42.196769025659066,40.52576672131892,44.74097775121962,46.10973158494919,46.46786796395705,43.726616747884016,43.23101604092975,40.1050924605447,39.432153805857496,35.91758505053288,33.99107057350528,33.72641282937333,32.10488202029552,29.67279208443173,31.162469817736472,29.03982868190296,32.60924117384261,32.87586088702914,35.75342848141245,33.21348028141831,29.758551395398907,33.32611698889487,33.61676372242824,27.71992405227762,29.77772695049125,35.32743853806347,31.953461355419357,29.724472981563764,32.88815392669674,34.90223599876476,30.96974862464974,30.627675559371202,27.713234115763527,31.805567637141912,24.774300257014747,27.857626069741404,31.51818086600435,32.71355813050035,36.41556080962183,36.43475893979797,39.501553364159264,38.2580240549793,41.049957087995345,40.72927850753562,41.67516131141306,38.574495078975716,34.63648752356686,37.48919501747454,36.59429214772265,32.122622889100484,32.207972761046925,34.260922705168205,30.08278451889913,26.998953096805025,29.141995953827855,29.08712341991055,35.153912930715066,37.184445999063854,38.285227686143365,42.383057625390045,45.75823121051011,45.61766051163152,40.67617362071651,42.51996934393932,45.89368366514597,42.43338805160383,39.49492401033528,43.21760125449827,43.41368843494483,39.167795550328776,41.248875409413905,43.79242154079881,41.40111304844124,38.93874271658206,41.1647921999346,38.107420914515025,40.002137935067765,39.30257822753298,39.805998421758744,37.66969252955894,33.83016408669419,35.07132198212903,33.54988000027318,30.988562520063397,29.398701449523177,31.514524439722987,28.203495858012637,24.97235258873489,26.13305211163304,27.271953220910078,23.74477241109109,21.215425824573103,19.785590761399423,17.19091587128382,15.535105338737562,20.01266795398094,19.905377914963722,23.507218269205914,25.753181686180525,21.354332539489196,20.255927485103623,17.42408170661605,19.38980252833815,23.621491166453243,26.09387388508095,29.128947156160603,30.139915559923896,31.550008640756733,36.64122571586934,38.279016664899885,41.373030742933004,37.01713319624258,36.276965178465176,40.70187271565382,39.91373354200853,36.06460126144459,38.55737768213959,42.591237108175044,43.99263832409511,46.30144854192413,48.21155930373075],[31.029024014490407,28.399347913702858,26.737269778437813,25.380071726697693,25.47637157158666,31.338350293853136,32.938726439222776,37.040584711250425,38.759196416376874,39.15097160149718,42.85427330408181,45.23658117435312,42.59851904881774,42.02385143991674,46.90335490251895,46.960766176722835,43.57646639274724,47.11803099971374,47.11870120953776,48.45857503730951,50.58078841042729,52.51847982067848,52.66764615362838,50.14481080114959,47.85372725245474,45.751164436049365,44.05655753308352,42.28103890407612,45.24147313575671,46.268463182729626,51.802493215404226,50.6585171139426,55.137344515941834,57.75888356853684,54.023186232613256,51.24657681068015,49.42797038831535,47.27189409370292,44.71948152413934,47.713840416288825,44.78205554940105,48.27168479827518,51.44969305443825,48.940422874703785,50.124925546210285,47.96435225295494,51.27774320252989,51.391833981191006,46.635521355832935,48.64704566585679,51.9650089755843,51.287098671857386,54.17982158746882,50.647000813646066,56.549292606671415,58.37572157133176,55.34233342874778,56.761723587962386,61.19130104002368,59.751508292793915,57.45584817912647,61.018291540345025,60.63005369272783,61.75472264957489,58.08668369661358,55.400635882288334,54.08045327945947,52.75616356342678,50.69594138472973,50.58102886651499,49.57329833578658,52.5405101914618,54.41469883458584,55.87691604243084,55.824040817441215,61.638248552043486,58.49646628078663,62.013275900215795,59.31078691114999,58.30838600825466,56.08410934612857,53.06794749655357,51.624642783129865,49.337124064444815,46.063312478772374,47.95168678530292,50.80450707029822,53.39858287560582,53.976707344409796,58.88981016134787,57.5761700827116,61.623791398270775,59.14882157710188,57.7108843177414,53.28922964287922,55.08134684939591,50.97916672087613,52.2794985710792,49.68225240033933,51.0490534528605,50.42750234136891,47.675346502799606,47.82945453678301,44.043720158196365,42.76030262829825,38.619915826267416,38.98340723360227,35.146498679942944,32.43120136838188,35.81733809499742,33.12853017452634,34.16488826165712,34.54710809047265,33.3172218690886,36.67936515435647,34.819044345980956,38.46480009541872,36.56669318118158,42.34510667884257,43.2959242421868,41.00381303857599,39.304572204624556,34.780165174861146,33.41931061447028,32.52629227189474,29.635048390349834,29.783188248621663,29.62598610634183,29.556432828336867,33.108806764644484,28.266083857835802,31.409637669670456,31.20403594787472,35.5219850440846,30.829886617135717,30.255689298332108,24.62391286289202,26.821005144862685,27.581320138343557,31.18939553182798,31.552012223116176,35.69851608886168,37.95847423283686,36.24520320051011,39.29935633864999,40.72305220856852,37.88211809862347,39.13362187336454,38.25919221276761,38.43023043928741,39.08468387439461,41.78626609291456,44.98151656533476,47.20275181422734,48.678554623676774,47.36627854399012,45.053465078248664,43.24565005993743,43.842200652467056,39.976478083622425,37.1786104143042,41.249629511647825,36.39486344245327,40.0981836364224,36.100086353295936,31.155781149859653,31.281047520402993,29.264340209566143,25.841543926642387,26.202307948591507,27.94332887062772,30.290297212251325,34.89487400123469,38.196962616103775,41.579479010465654,43.82344268105901,45.32603091806312,48.96012882598794,46.33599484945262,45.69411707313791,41.35068883812233,38.986007555921525,39.02059689260225,39.0732176696026,37.399989756097895,41.79120107985942,43.16508365331704,43.80348001654507,41.30366639610156,40.78612132678138,37.71255655186888,36.722328761560256,33.188711837951075,31.038243499452502,30.6769588808856,29.026854211144126,26.252129873086677,27.663999989839784,25.355493183533195,28.770063821136322,29.120196622247573,31.851966866648446,29.232101529994214,25.861362677724273,29.49934607879679,29.650968882529096,23.74247521455296,25.974867805263855,31.517687141013976,28.07368164151785,25.976683280479293,29.26323846114358,31.1678225368113,27.324709016031548,27.224832567330537,24.24428577877419,28.528679796125225,21.636433276690894,24.45661443889381,28.275257114383052,29.711481626908885,33.62510909854095,33.668225291832044,36.46949634968107,35.08918627291273,37.857249692408416,37.30729285616862,38.524529925003506,35.57508357741432,31.299142566118768,34.20236332439628,33.70352696226466,29.125783500602985,28.971633795377606,31.24468583917297,27.40083444879471,24.014977695369467,25.950843219691322,25.5671240471943,31.57035445727913,33.69002429763321,34.66354465818926,38.69904475780085,42.078398414317974,41.79768485658817,36.852495197275964,38.748093564416784,42.0232663878035,38.47625413612299,35.60524844215239,39.35096181043183,39.493244520190515,35.27190867652316,37.50188366798215,40.03421824610152,37.61288422236109,35.281466737138366,37.62060807959914,34.56619292901658,36.4581114573985,35.63671862916213,36.347901804820616,34.315099327101855,30.223604598197415,31.569380526201666,30.31347741938845,27.648191735088172,25.888206780318132,28.44921668987071,25.331479049739045,21.660638034530763,22.918517692346363,24.61462471804871,21.187324584023838,18.24104812045971,16.322445785236567,14.459816281534017,12.376170501318287,17.037929897522194,16.377121644949085,19.76380362043072,21.90849947308858,17.592122722153977,16.317703366879666,13.527082224896008,15.438312407807807,19.74638624640616,22.06784341021868,25.185583743264182,26.14934632746792,27.499928863714157,32.60011430953157,34.25897976393391,37.32993726402981,32.97474175169242,32.274623931245884,36.710390748799206,35.91612725124286,32.14147989510411,34.67405378081031,38.69850870956708,40.12766549974624,42.433557788269226,44.33766543098558],[28.488921640636818,25.532502021727947,23.297307524746774,21.892018646223324,21.264790114320284,27.402278938790996,28.769108982293297,32.769297082250276,34.68657224198548,35.00560470686193,38.75515227889747,41.01233391780095,38.24524083523662,37.92548612842036,42.70251850537092,42.60038311374104,39.259737839594074,42.844564358095795,43.028591065389456,44.18075236881261,46.453967101888054,48.34693030995644,48.67704578851367,46.29942822194673,43.805554240577834,41.70085460555745,39.79136144188661,37.97479698072609,40.826924081412656,41.74776713012013,47.431058748158975,46.12014970242954,50.61995185108711,53.23420926552678,49.45132940381347,46.74320548753094,44.79996406800355,42.7503987663885,40.20937335005045,43.195369826775696,40.48391864269659,43.967305486452915,47.12728998968753,44.74483901888138,46.1403836678248,44.14236862827731,47.48147285430439,47.33345501474305,42.60102568736904,44.693997365966716,47.81614161556894,47.03653868632461,49.84911630290191,46.23736944327865,52.05515214585823,54.02455823570705,51.02954959601661,52.295041862875316,56.76459121945491,55.50916682135072,53.18977501924608,56.70553725233072,56.24813810683678,57.562094480987874,53.905613403691824,51.090834441185635,49.9501107419035,48.5227443362472,46.680496098962756,46.53325532438738,45.69710384242064,48.81489421686135,50.45602767431924,51.889013363573284,51.61700425366134,57.37162088222716,54.12712338792367,57.55341774870949,54.795084423378185,53.791226470456266,51.4563798485991,48.452493525181104,46.91014851291042,44.65865330374583,41.43189545134431,43.293874276729056,46.24501120271699,48.748558045251954,49.473094939429735,54.33956280216755,53.14762781123731,57.275357349886015,54.81988577907793,53.339526942927165,48.96130436747743,50.872378855150885,46.829167838860194,47.89105019350689,45.28415266907103,46.63608566766499,45.8434848894953,43.05600777845247,43.11742173612131,39.32906590366699,38.00292117415302,33.88539227690867,34.328699475605596,30.518813206534034,27.841428608118168,31.200036315056614,28.553084921417895,29.483935279929597,30.036735054205955,28.77993669168824,32.319245931096845,30.560569949216664,34.250285370203976,32.545840500225005,38.435551528640104,39.20453653553792,37.06673648462219,35.29025511769181,30.866126535875928,29.333939849105555,28.353699620044317,25.183219611000794,25.31765830451182,24.949884913052674,24.84044205602294,28.35891366320149,23.569443281891445,26.843296159749666,26.614697240462423,30.84389480590228,26.119214934414487,25.5066334885175,19.86737615056741,22.21059158801618,23.216168103748807,26.79966498018335,27.589951551535577,31.7682139581245,33.85065148649962,31.94604187515768,34.92597259517724,36.23090913274574,33.39210603165672,34.56604966160477,33.615706017827,33.92030752005201,34.552461499311505,37.43991458744984,40.59051035742318,43.07423708345121,44.41306702507987,42.91966063554655,40.563949786993774,38.65259046311396,39.21748352195854,35.25904646881074,32.456822610398106,36.59602932268597,31.840839729962212,35.519904619827265,31.614813117654805,26.832415550038068,26.88674458678258,25.186194619120577,21.555629432983128,21.795001103343246,23.365710707685565,25.691787770493484,30.246714706871114,33.493891300859744,36.853418242592035,39.059152039372606,40.60459260593048,44.19652642159022,41.60713439680363,40.95258303809693,36.67587411410373,34.22729207744781,34.37954093653652,34.56334584518816,32.85014974110467,37.327171206188964,38.70764120533208,39.538626096698415,37.250543746651864,36.71194984824993,33.70849997215967,32.46380389293348,28.966827418438985,26.68153401702456,26.33552680812385,24.81782518777305,21.780224070529716,23.351340349354327,21.11830811438115,24.394563422262443,25.178428547808053,27.776344311395107,24.976043074925293,21.980318077747093,25.900311229049212,25.88062777893236,20.067608033347053,22.764983549470273,28.294619254148273,24.820109045870346,23.147464881544632,26.68374403809235,28.321145644015,24.747537087576873,25.232496500480575,22.150009804928107,26.70583490886097,20.11835167621385,22.247731317402284,26.29620884222717,27.886946136485186,32.18214329545159,31.994228760940196,34.25450927423693,32.49969466304954,35.040932051817165,34.00765547436717,35.458237801154944,32.8965724311162,28.127863927068983,30.82435729829883,30.82980853637124,26.25129457015859,25.567760458458096,27.861455241882823,24.646347412461328,21.025825686401067,22.158975698787753,21.76121762468846,27.45209916723763,29.82043349127972,30.927548818449605,34.79307394221561,38.371134224163214,37.757895198580826,32.82963113245552,35.10927459454952,38.203038326897506,34.46686780979536,31.910038683879097,35.83437507395043,35.91742071165971,31.82102407386531,34.37738342441114,36.95390201271735,34.545785130464026,32.518014671151626,35.02742169657901,31.939097971749025,33.64692628359071,32.427486232636056,33.40550078033996,31.800546184669003,27.29384897180219,28.511401508005978,27.838512945636893,25.18557815159579,22.839158426422017,25.970852993646286,23.490046485521265,19.190338848985604,20.096869516101407,22.7078625598542,19.81287521790648,16.363504586103026,13.94482936134146,13.50385771968961,11.245342173961903,16.04028586530363,14.414182776232039,17.016199484626362,18.857176065444236,14.865133503969432,13.027872469668218,10.35658979492598,11.500549453113658,15.971981316657676,17.752529085635246,20.72148232277621,21.5853988676165,23.304642927652836,28.30986339767683,30.208192214139075,33.13871636962568,28.785592534402596,28.487235251939616,32.946299949681396,31.894698546886758,28.511820506104083,31.305521462134884,35.21613700188604,36.62947382700995,38.84374645483421,40.682914501570174],[31.773606033417355,28.942019484403772,26.680267583036244,26.155769339284834,25.378184558594548,31.568660831011904,33.15685895835206,36.91972950261681,39.21222948040769,39.75592584001657,43.53367655006747,45.54646488405586,42.84577894992631,42.832033462228495,47.511408218490324,47.23225594148786,43.97646856682677,47.558760477382556,47.78890283746422,48.66542774351466,50.9416263021662,52.55801524226215,52.97737005048651,50.55200909393625,48.02369613748329,46.18950266907097,44.1756433014467,42.534739522361676,45.330288349530186,46.125185905597334,52.047009156404656,50.42918409068065,54.944875438306426,57.5662383846125,53.67732167889985,51.07492528000142,48.87207696685513,46.8648608270048,44.18488190132342,46.674892647619764,44.2629311971482,48.04740991976585,50.94557818443722,48.43812156073916,49.86999480416969,47.717692840019645,50.86760497838108,50.750103660394636,45.93764137321723,47.60610631548912,50.79935318481446,49.83272944974208,52.77520554112743,49.49801656292078,55.20427591792406,57.2424368788065,54.52646817427896,55.933534750712376,60.29286131218795,59.05451668289012,57.077582147957436,60.77416302809766,60.443818042875876,61.88468356469317,58.12219263542377,55.33804236969633,54.54379917353425,53.16866467224836,51.557123317483345,51.479081151616576,50.75289425656163,53.95133582527644,55.453966193922355,56.773802951069655,56.3603680681724,61.98550318269463,58.5319090192327,61.86789336382923,58.92644802732339,57.71193126260718,55.203208650221114,51.94472196381701,50.30885558671534,47.78666011815099,44.769258608125455,46.96678027964581,50.14398739232876,52.62154559275051,53.6765619647212,58.553527119824885,57.6148920212962,61.86517268178055,59.472514937603734,57.93226450863751,53.612674761116416,55.62886943327019,51.632556476503275,52.36860882434583,49.650833133283726,50.67428863468004,49.86826096373718,46.67189519941495,46.7828591085442,42.6384359393655,40.8685662512015,36.878968238012064,36.724535770851865,32.70499637097278,30.29245339424493,33.971222382412755,31.85231097259718,33.20548410818766,34.221305855616414,33.17152262250587,37.00645334207083,35.38018630722815,39.04980345230195,37.40595962031094,43.31015138894045,44.09229507279614,42.110311228134094,40.32073895998697,35.97621911560943,34.333790932923996,33.188922682506444,29.762954255054055,29.384645263213894,28.785012932867968,28.08562831182511,31.246013965040458,26.072708579211085,28.673049089412054,28.69858877022192,33.17819174394737,28.97075191372307,29.042237807851123,23.42790089533396,26.409972166604707,27.850138746136043,31.24928230042402,32.218649140823345,36.109196460525055,38.34371664868543,36.39123192719696,39.14690481260741,40.539427822180116,37.79764231354171,38.87942425266886,37.681495223674986,38.12837000968686,38.33897160530339,41.42175478938423,44.16434348522165,46.78618214174259,48.36694051276448,46.79195834075875,44.6469077503464,42.4110739694095,43.2331810692463,38.8806674109369,36.23222142367045,40.53815732610871,35.873753977245954,39.209446432072724,35.014968938745206,30.466360344507194,29.85073630134392,27.88196801153,24.29436804282254,25.318326939156687,26.65444940748059,29.452324051407896,33.63508119546869,36.83738707194236,40.294468082533115,42.379266636949254,44.34657212218192,47.5138243450968,44.9131193951861,43.92507585503127,39.65417657469401,37.19510767520737,36.76689245038344,36.67307852166576,35.39840265493002,40.08809248461562,41.9271305898333,42.27335936211909,40.282924857769856,39.181089073942374,35.91018739816529,34.83644243639244,30.93387279453324,28.61974890010276,27.87083147358677,25.788473835014756,23.40182631268739,24.450476396523328,22.2870965144311,26.114585354470343,26.07549838184711,29.28683314157395,27.101782247165165,23.420770095087082,26.95858897561514,27.825838752574622,22.267228489220816,23.97950634914093,29.65978829980164,27.076906802138026,24.979559139283364,28.076072081262236,30.460527931580135,27.18256837537876,26.792109889737212,23.49867616662349,27.331705253441115,19.901968796022743,22.357734444831923,26.071193103697862,26.75899703348865,30.871042981217307,30.302525551652863,33.018853039706656,31.466416462159906,34.06017338447836,33.65282490782289,34.46025150262092,31.47584275186875,27.516128562770117,30.24373672278018,29.334372505017477,24.88042415322344,24.947153144689082,27.013206083929443,22.863275171658287,19.72706945257163,22.08285250513386,22.016782493202612,28.18772992609094,30.053837849597574,31.278933911127915,35.422540278519904,38.857968730754195,38.87993430243517,33.972411165750216,35.90842749012671,39.44688433655595,36.212574316325075,33.30019616240825,37.24383176241039,37.747672624042565,33.62979735280471,35.49248213952253,38.35135548956595,36.45294070062375,33.785540401448515,35.78641690144777,32.49149083915989,33.91571161889576,32.90411709218296,33.17262253692889,31.46225857815958,27.662178886927855,28.355538362944273,27.00197145928015,24.705274138375376,22.667746168607206,24.608312245837332,21.763264137152127,18.439569869804494,19.05282346189945,20.43439878461315,17.33284255175808,14.657728761897113,13.733928430032073,11.446655320284199,10.813965157688157,15.532762226505183,15.807605621094131,18.52984686801073,21.51731013244608,17.83456265440104,15.768582867560097,12.272109350875734,13.596429627059058,17.355790328879326,20.52573820852427,23.0814034285827,24.942887940591092,26.397540459349685,31.034748628273828,32.53776016306958,35.884987497386604,32.00512734447128,31.283679496897868,35.7725083763162,35.423793893388826,32.00364665704081,34.249007608919385,38.38975662657162,40.084890802294105,42.40507358512818,44.212186307026506],[30.014157323225685,26.889230713907473,23.984662663864334,23.7059955131383,22.021066684229325,28.451141796645267,29.810479004653224,33.327315819331815,35.94952064281981,36.47299772570891,40.27452049475296,42.05349096952965,39.24550940798909,39.62073933051487,44.11372844084499,43.600876160323736,40.450496471023456,44.056872144722675,44.5147980479914,45.091881307282364,47.53325685747873,49.01480062501589,49.66757231426083,47.41419661175307,44.65432024305106,42.90415038314687,40.62060677660826,38.993482846394016,41.61807130183745,42.24033741307045,48.37137119274312,46.47648004537181,51.00021698961805,53.606739150904765,49.64874496150804,47.17192341855545,44.75500048899737,42.9034392267874,40.21252635596111,42.53409771531338,40.49476265548597,44.33392577227629,47.12593424069035,44.74865266377385,46.43500589307081,44.442061067887465,47.555678230664164,47.13987929742353,42.35718509616972,43.99448584238764,46.95634115576243,45.81418669951247,48.68720025785643,45.41791271599742,50.973133715116255,53.20188000206665,50.61573390322702,51.870393706462124,56.23805419400463,55.22749701910489,53.31843322335772,56.99197733740173,56.61381868677391,58.30440293058963,54.54493997693248,51.62703052242074,51.13776676292605,49.661399512211,48.37297012543764,48.27410110887722,47.77681731424371,51.146571486517935,52.34072622599644,53.59255204349916,52.89149181979516,58.38930788395679,54.776706981387285,57.96849921790833,54.92388065442524,53.656553594127146,50.97390240037664,47.669305831142175,45.88269451850082,43.33538119211795,40.45065304663506,42.70789189962388,46.058470348253216,48.40497344060438,49.72773643495002,54.53138378379772,53.80781327579269,58.16596148130553,55.820410011139195,54.21915223203161,49.985985195791855,52.15488976501316,48.262008365018644,48.62806103064089,45.87991218952268,46.78537145852711,45.77798060514862,42.42948882702474,42.445719038412406,38.1990694034311,36.23962633104057,32.32631904313032,32.06487509256844,28.010285086038834,25.74615917013183,29.49723870422693,27.63443726611743,28.998756839826275,30.3811690378808,29.38648152329032,33.48767813046045,32.049394917418276,35.72010904618726,34.34437845423287,40.315592362835346,40.8808824012659,39.139361975344535,37.27400217197954,33.127488215797115,31.275094783156234,29.99035310231047,26.202340024907468,25.620674444509458,24.674331126672215,23.694123304139293,26.654160522108892,21.411592712439578,23.921047592635702,24.022429890785357,28.477050043612383,24.43399902618975,24.722141066373123,19.174982817747477,22.575039904615405,24.462891752062564,27.70452100452043,29.237952955037017,33.02269881857377,35.06306969351143,32.88646254453636,35.45471084597321,36.713728511175944,34.02976521518482,34.972225660118255,33.60722679492921,34.25758387160502,34.29925928323326,37.6468376880417,40.19552314558559,43.154603948518435,44.63804110725622,42.83313447967793,40.71251588304614,38.26371022753291,39.12600705560051,34.55861593613676,31.976654336338992,36.397402179266926,31.925917820129467,35.094531362117934,30.95066994716798,26.736802784205576,25.789873515222087,24.163186747711705,20.344942781603535,21.510244905802946,22.499568729731603,25.41913152468638,29.362533058085265,32.45866454018616,35.902349332809344,37.88830356930894,40.03377492921505,43.00715332656562,40.457496503473635,39.350702051202695,35.17952195455586,32.60916671906303,32.13673158495256,32.12372008627817,30.95193519281192,35.81449715880299,37.80210583205418,38.24351891267568,36.61459739869081,35.31590715145094,32.05924599184,30.719091048191782,26.731218684554925,24.220322223515808,23.327173498570037,21.19033095636586,18.672902588045954,19.729605255390553,17.687703672693164,21.572458674230916,21.82061299223924,25.085529067358692,22.889840779120615,19.469120945287546,23.247905521666617,24.199144768723325,18.922578940572592,20.872064947045228,26.541157420639948,24.23362587419079,22.562568872308496,25.79292600651563,28.04098762910573,25.215588237361327,25.280907658971465,21.868013700034435,25.770526400118406,18.622221875412478,20.233692748957182,24.102087753173638,24.732163497467063,29.25587158168669,28.303114636333706,30.43025974541955,28.435452562468303,30.74467693179934,29.877905491090658,30.805434805460674,28.209728863395625,23.81197430004852,26.272920442127603,25.76341620763516,21.320627522972654,20.879966694017998,22.909281863566566,19.31662007155852,15.97110817649041,17.611963656826127,17.667509552341652,23.63144626246628,25.674828225017123,27.133199438967964,31.15305284657734,34.81051315486523,34.60027210695452,29.713833387093793,32.048582853640774,35.49099633441769,32.17298029175324,29.559747767895264,33.72871832223266,34.28227370416072,30.33436489227186,32.391100038640424,35.37299042891554,33.64551428843989,31.187087438301706,33.2443307643018,29.868847937221826,30.97223975327377,29.510483513458748,29.91281735438125,28.73392152268613,24.619295844051585,24.96649272353342,24.19157001078802,22.03339053984254,19.28449332047756,21.626909872011414,19.575719959989296,15.699917423958887,15.662182839254543,17.985635863049662,15.643013074574066,12.507071163287247,11.430082405668422,10.69936724914156,10.393603947602054,14.962850268485559,14.591156256748429,16.245770660098998,19.173299056028526,16.133559165073947,13.365614076655392,9.832734204303813,9.986197115625508,13.56365117228945,16.56042985383817,18.688038753883028,20.83358276833098,22.650036638384467,26.982635657767887,28.64853778529032,31.939103208944953,28.25014194707692,27.897713530881738,32.38629760490982,31.945762168816465,29.0278696923637,31.393726487658313,35.4246128530839,37.1706086003045,39.390966367057615,41.10402458942495],[33.20368531203976,29.980124813212278,27.006671911964805,25.835778847981004,23.822953260771566,30.390440204052958,31.163504098861814,34.82127479185777,37.13361817109063,37.01795254107766,40.792971328387196,42.890499133205424,39.52237627673186,39.65475409044395,44.08044339184043,43.54603743271118,39.97914869395635,43.202927981079,43.05725678905007,43.67618414408463,45.7278572982038,47.035680454285576,47.41326237086169,44.88319028293479,42.41945886403113,40.914696374277376,39.001764075527284,37.772295694862976,40.808165686265376,41.94049607841559,47.9864020049061,46.54853555044081,51.1392820541856,53.36563944156427,49.322649331639305,46.498997044455884,44.41746499409483,41.87545786838646,38.983566871481486,41.13634124155477,38.53611853452266,42.556890638029934,45.26164760413198,42.54830489640393,43.86299293727966,41.579484840229036,44.63861193711454,44.64173055212895,39.807239159129125,41.32400484335787,44.65834995180208,43.7896790260136,46.82049445429755,43.694131853050415,49.52575637155164,51.33889507811746,48.65712783694155,50.357336721878944,54.59193835739159,53.127159964947296,51.36787648104646,55.2714047104776,55.203124635439615,56.50792956965757,52.6094138847433,50.03107102985677,49.50831710981973,48.44454319151162,47.02763417174823,47.36732412140773,46.663946292150015,49.96814613847135,51.32148928326034,52.219133262364004,51.885248050366215,57.28279424853651,53.602067675998725,57.048572553494665,53.95011122098051,52.461434962604265,50.14296226614295,46.6594510381285,45.42871260266622,42.64689398921872,39.491603100285374,41.971151506167715,44.99509587555794,47.84045578973723,48.78015481158331,53.945052724421046,53.11265719798235,57.4395606095988,55.33913364255892,54.064237711828085,49.940860712381976,52.24179600150163,48.4331444618193,49.03787884541686,46.583274135638845,48.027032181286955,46.475588109148894,43.60826341970278,43.021352657443806,39.22858583158693,36.94186815969822,33.37865056671964,33.49836368250296,29.42484944466788,27.59382617334738,31.240236161788303,29.35981398598309,29.906815105701554,31.286377971994806,29.588381953134434,33.369372647815645,31.418081314998652,34.75240741351958,32.845836604022665,38.63415848376385,39.780119881273905,38.09383525561989,36.64477314453176,32.31379852131663,30.951134330158602,30.307478246452902,26.36067248600852,26.937663230610486,25.52918177302994,24.888925201696576,27.468832001393597,22.365781873410416,24.93353649823064,24.112823862557715,28.814820779278918,24.268984760787998,24.635572727107355,19.257610050853,21.973415941231465,23.44827436901955,26.471287924363665,27.168961554911338,30.624613510126448,33.15686609895862,31.39528887242388,33.952701513986206,35.80398937900862,33.3038600634308,34.84314207530869,33.95598973334795,35.048619831216854,35.65788870665346,39.175428798359896,42.040052203136526,45.25392679943089,46.28730299822404,44.238670649531414,41.72754107651719,39.415382377483986,39.678494658024945,35.25221206851025,31.91850985632943,35.8869656200335,30.88394553888742,33.95454790781812,29.42271578587101,24.741445531206736,24.053916896747715,21.703263355954633,18.38881201526066,19.712343133482545,21.319497877181064,24.358988897355093,28.48350283914846,31.89670503139403,35.5295527392441,37.98666416491523,40.06772091696116,43.13933066091018,40.086710178043305,39.21438767393257,34.542485851229344,32.76432527078353,31.878946093353523,31.451464460862017,30.009068860815827,34.384120843479,36.205096108123506,36.25502025618106,34.075197279083525,32.99035874423882,29.72507737621403,28.90230188767372,25.129369864876452,23.159966913040343,22.84411860599689,21.323907498298105,19.358117039547693,21.285843167792937,20.096564301783474,23.972052259148168,25.021949252176736,28.21278505599487,25.740561109564947,22.996498013716394,27.077401749094147,27.764628737135386,22.55969501887541,25.059608218724094,30.642155539246133,28.030447121154175,26.68584847287826,30.130103097158145,31.99622348297964,29.037219344392756,29.564150495967596,26.249865746487902,30.42125216543794,23.461629701031285,24.979187138694815,28.915525671830355,29.541320663424223,34.11728071855103,32.99408293871738,34.9389514148911,32.69027288862273,34.706446203290255,33.51291401769654,34.24484708960236,31.993629978474534,27.524401660451293,29.464396277769566,28.9096338233842,24.747398805023813,23.89977461654027,25.277425963104402,22.033369467661313,19.126022025613693,19.528926672127977,20.644327722333465,25.989229229257884,28.36790853234109,30.409625743609478,34.18981848615136,38.191231425569164,37.60162912484672,32.78899875318929,35.69904940053189,38.935508031444904,35.38166400786594,33.2216566946686,37.54504832414727,37.96872273071823,34.15037827031633,36.55575892834514,39.492673989802896,37.61677068404746,35.49777741428615,37.72529317872521,34.38194922449386,35.392932125144775,33.63756959254765,34.1397943747334,33.301109869335825,29.012425426139117,29.136788049514543,28.694322176315993,26.663510012957676,23.52947471767563,25.860853018355673,24.222486332920898,20.345614756913523,19.73998141227772,22.159995394194492,20.20725546627125,17.233552784825278,16.203380111005963,15.49285419940984,14.961806185748232,19.72127759014792,18.857014738424063,20.533727562842788,22.827052659643314,19.559164588049157,16.932131612147977,13.85597510879727,13.521042136091328,17.326020574894134,19.28266085133876,21.058856094703444,22.658734812507802,25.32136091036263,29.61811909211752,31.750985734318874,34.678042828077004,30.782909151708562,31.089993843631063,35.544385828772675,34.40766799760829,31.838964434590036,34.71722421715386,38.51471595091574,40.024559366188065,42.07453021438056,43.73363538862957],[29.121760878166242,25.718378576646863,22.39428964884464,21.093151313998533,18.55990002891653,25.188948435265193,25.80924132339377,29.404628796394054,31.794940032707274,31.725576851050455,35.51321085743297,37.50575612529361,34.208975120256746,34.49301335134397,38.89313194141526,38.32810260213691,34.914786463988264,38.32316451064593,38.54640560375229,39.142783703906076,41.47929600067824,42.97897888020465,43.56967162941802,41.30124910898179,38.56293514203585,36.80219447788187,34.610844353512796,33.08905061086214,35.90345400924393,36.81567544677592,42.892712357036146,41.30661290088811,45.881755260031085,48.251054716824314,44.25875896568681,41.56663401330876,39.388157896535056,37.18065075414935,34.44872973515241,36.95511585938509,34.59433612431895,38.37342144282126,41.25491776987471,38.854956304819,40.48487283156731,38.547795511257426,41.76199800528555,41.3565074901755,36.59868058455126,38.4931747472686,41.46774660533496,40.507233484606544,43.33790805391287,39.87689939921275,45.60839382087817,47.673655494854074,44.891706793314555,46.20329470950629,50.59892076148358,49.45848583860359,47.41373987079857,51.08543516327651,50.75971282228999,52.303303198911706,48.528677351272165,45.684369464855806,45.125733795578725,43.78082824234027,42.46553943658242,42.56567312058087,42.026083104015534,45.423466488885964,46.60085151012214,47.67998576878395,47.10206529992281,52.56585153052354,48.94919094432719,52.27450424174574,49.254812726568474,47.974684705646865,45.51076728624292,42.24743815472673,40.75859833726862,38.247049710260846,35.108541616084196,37.29314641904926,40.413181624058794,43.00294966974392,44.03358109092828,49.01639497176564,48.18208182923347,52.517269921834085,50.29693291797486,48.891583011610486,44.72907449911283,47.01330779823504,43.20027320167716,43.69601974120093,41.18375224061569,42.58659653851526,41.11016221109319,38.25449130924496,37.789910912762046,34.01468261270818,32.05593699382709,28.300667473229613,28.69389014729185,24.763182725761663,22.670564263504968,26.148658950236346,24.039039894874513,24.529928272601133,25.844276882122575,24.254934949315484,28.163603861789582,26.429812553401554,29.930495324804443,28.37646993862279,34.30925926543875,35.06100542891652,33.41106182952227,31.75172381820772,27.56860701807379,25.93804297112976,25.080050428679144,21.051680479606354,21.495351445315983,20.114359491567196,19.61881731223788,22.490134806348593,17.57248490956058,20.666508260011238,19.997502204216488,24.405533394406312,19.664297296969448,19.58972952485577,14.064941040299882,16.897811441626985,18.595694209632317,21.75670462482517,23.113341110567276,26.871634964530696,28.958737244505087,26.87821027040749,29.495967787233248,30.965373920097456,28.33919642639761,29.637445250916535,28.63520839177339,29.623400834421464,30.23101222149106,33.7403891802693,36.658470634632934,39.905555074131065,40.862115002668936,38.805390463846244,36.294120092913026,34.01794660753767,34.33398396243781,29.97737946088039,26.817140735477174,30.94670419283043,26.167651032565054,29.461004403949378,25.307743148372623,20.81083803807102,20.32594621435397,18.755058720478804,14.938028137184212,15.620225276285899,16.945617932149037,19.699691620559644,23.95106876109686,27.24271874886027,30.748302466219428,33.07098053458183,34.985115449721434,38.2332466303381,35.403654026354936,34.61496923667372,30.174036559541786,28.00501813545312,27.725871552531807,27.752887713839073,26.10645019488511,30.660637766919294,32.29098216535098,32.96532366586844,31.02203328921745,30.164447380391866,27.132069408615006,25.73586359472133,22.14575608483027,19.822006952723203,19.543457068773247,18.277468031219335,15.400281023389304,17.532777283206208,16.124191807283903,19.504702602752726,21.16594075150113,23.868818224256497,21.021097753484117,18.85968515427018,23.196279526520893,23.340712705805846,18.255380728440823,21.387355440512387,26.73808943674705,23.829194792651155,22.98705126348061,26.645786928907388,28.011169592265606,25.25814617889499,26.458687660015656,23.276928318171013,27.737865160225034,21.6168558173574,22.46386414970279,26.557782718313454,27.752558396938504,32.52694791504125,31.578889091591556,32.95584087070227,30.47774818561969,32.38184781143043,30.614929050288183,31.96609627360434,30.144974636332016,24.96364191855043,26.877167266683646,27.283139482469778,23.04785610398334,21.49927567950749,23.246142281812674,21.0446057267185,17.604293734088387,16.940740903119945,17.45466056293952,22.333817478984756,25.088405324902524,26.933108081804225,30.456628243508295,34.53073889675726,33.46244069394339,28.66224311263976,31.84013593107281,34.727382668396764,30.859065677200764,29.01995610085856,33.36131176365141,33.553067278599954,29.85670033646561,32.71962946236379,35.50877397550082,33.45662176533619,31.815564365709346,34.33115909976538,31.126552120771866,32.17411113266819,30.14802494498747,31.199599732644366,30.613153730552213,25.804747298971797,26.192398140374817,26.44883782834465,24.248228927443723,20.747689749559235,24.100645476137032,23.00087241220466,18.351562704192077,17.851247039974638,21.47373331803294,19.90548399692695,16.35128287218457,14.321640112326486,15.460604033289195,14.232584922824968,18.589549978485582,16.5037006650838,17.340764143992065,18.898342726416562,16.124512587035433,13.278655897145391,10.979486820977622,9.670027929989372,13.52885118739197,14.37631653578189,16.198197815313453,17.335248344717396,20.25345371874496,24.577159810250006,26.957163970005396,29.635796396970683,25.607173109989844,26.27499805606975,30.67043263391445,29.20611599756709,26.931747297090773,30.06931134179493,33.674945422535366,35.08722311969074,37.03982401636472,38.65105864289292],[28.172195511896465,24.881807601697584,22.046814831057553,19.630882229267762,17.84587435686625,24.159724613007334,24.619000297694846,28.61371791827296,30.340514352071096,29.966211169302124,33.69661839055828,36.13358829279692,32.78302521043605,32.44495185477641,37.06215062921469,36.839350070473955,33.214575080328004,36.556548944764266,36.49022798819585,37.59176824301157,39.75682062274526,41.61450884570155,41.912650614206804,39.53582380556604,37.04022806200928,34.96715912428856,33.13173983721074,31.46682979822898,34.51383663775528,35.74151415571486,41.40455215185135,40.37803534642124,44.926713309725386,47.2509219188911,43.41255464797139,40.49314587099336,38.77475042041323,36.342717547211215,33.751028582325716,36.85413343865982,33.86502300925691,37.29886216039421,40.50365198655655,38.10711602046078,39.463897362898514,37.54098835988552,40.95701406084864,40.78437272021881,36.10782372675959,38.430249959061555,41.51691063027703,40.90247214456588,43.65050006953222,39.89479545674724,45.83226201013124,47.64448017738273,44.5017001624558,45.82382801183234,50.28980073608389,48.92742311543654,46.52034794007241,50.048331710653365,49.6668068216776,50.8621635315728,47.180034010835236,44.444439538324296,43.315291963434994,42.039728754937414,40.24528993198585,40.3470419028025,39.50755668433009,42.70306911054624,44.25584328292598,45.452421247573646,45.26243031493362,50.93061927362115,47.62711901670762,51.16738455470049,48.398220057081865,47.3410019826313,45.22055514262157,42.239068118972526,41.01399511528247,38.78534906703507,35.34120078724533,37.15048850381276,39.86654028006718,42.61954439520694,43.08400261324569,48.136313872183784,46.890384191837,51.021644931044555,48.73711214424088,47.471843887568504,43.209537906453214,45.297011829211584,41.379787062992854,42.48358036556965,40.1430800348514,42.00273985652617,40.62943444850725,38.3444027408769,37.84312659647661,34.56443252322375,33.16826512675159,29.318005058113314,30.382446167965714,26.75566654555738,24.382549592697288,27.416760519245045,24.64634693552703,24.60956255500214,25.15357531639803,23.22281619464382,26.548994421524785,24.458310386544344,27.93162269666581,26.031900004985392,31.893439686004584,32.871342598361956,30.889544026657042,29.3561832060746,24.90241940815693,23.621257976401772,23.152156685016976,19.66148154085756,20.98676490408137,20.080910420933098,20.471310481153726,23.745743438154104,19.444754762851186,23.133288682757986,22.140148229088283,26.2027981958849,20.919080465311808,19.949390874391355,14.56431169728766,16.096678991188735,16.8182829193566,20.280372199187774,20.862028469226043,24.993598956246043,27.12526182130237,25.324877407228588,28.319839409506613,29.864130317581658,27.127193384770525,28.697611067402903,28.144766553143928,28.882289231414198,30.096655442749633,33.21288420852019,36.67414492658269,39.557443592514126,40.298548971166234,38.46710527637387,35.70551430465238,33.930874803301776,33.896867347251,30.146491364967375,26.738434156856407,30.514496120728506,25.470104916126193,29.21542556980007,25.338383541193107,20.335426037691025,20.908991288291976,19.328627293678164,15.869497966152753,15.486324400493622,17.410847007933054,19.460264320846395,24.249590749321925,27.648068433715817,31.03573285515987,33.571618784229415,34.910575411247656,38.70201741260805,35.823905420746286,35.48074807594298,30.971854969909426,29.002283223952826,29.298479798564486,29.499938309720147,27.357844765406092,31.44297626800768,32.461819220538935,33.505435847900145,30.95499633222229,30.851076830531664,28.120647968798277,26.8390292607414,23.835650281276976,21.818566498885406,22.08986672956777,21.45887539673059,18.27247696141464,20.763921709034552,19.27053708545343,22.002227644575317,24.11496331227318,26.202603295851596,22.885490439526876,21.21358201440048,25.59602451914714,24.927996145001543,19.571437904381074,23.29699175308024,28.433773888796576,24.627056867686825,23.90949460824966,27.788136029338908,28.573277842451333,25.322656377405465,26.986200623085026,24.112854717243728,29.03436435997134,23.45019215998502,24.572441208424546,28.77136808044439,30.65023221576942,35.27505767320304,34.8529319038852,36.276694638415066,33.95205037952411,35.996119622557636,34.073744022430034,35.82056239512169,34.06027650560205,28.622702103101478,30.678140921801,31.476046497284205,27.172104491195377,25.472105215842202,27.390683482410132,25.46687141287086,21.872921776346644,20.94005744899424,21.079133792741032,25.59446891702045,28.570784337860136,30.13238807371616,33.46311094500827,37.46450454543553,36.02406151516734,31.26041093522009,34.42410900537116,36.96555714306738,32.75984910322388,31.064702991766456,35.19008075394001,34.980785299325134,31.23947987113731,34.539626856257094,36.983174723514125,34.39976337046121,33.19510986046936,36.07162125956697,33.11534140209934,34.58613783578257,32.707524671433774,34.21861183407814,33.36842932033239,28.26844282704237,29.284064833649257,29.6557809128861,27.121072207612702,23.911824752789336,27.807883532538813,26.42658828241198,21.502529841250283,21.658014620477797,25.434832886668197,23.48011284669911,19.715049688544685,16.88024217666992,18.163512011881785,15.861399831748919,20.248755431937067,17.269124972471943,18.598756331671506,19.154384854400938,15.847628400487665,13.778532524250318,12.351337666597106,11.726331607490629,16.016133868833894,15.720080135851376,18.136935242160515,17.995239358452533,20.901360040819814,25.679953579110805,28.29172350449162,30.563138402231875,26.007155547047837,26.861570608705005,31.16150392295731,29.060599788210943,26.552630938691195,30.125431362316693,33.530510043658616,34.610632263946826,36.49954113794375,38.18335431420018],[26.854978905468617,23.42320947797735,20.22934933300974,17.312638835709855,14.645372503060878,20.837762420833865,20.67608059652556,24.573642050120785,26.219675644606536,25.50768397072018,29.21927507662612,31.667635835993895,28.073013158941635,27.8304518992054,32.33476857139362,32.02692694750474,28.363480046059404,31.70127696624986,31.76054011607454,32.810386004492265,35.10891043669548,37.06209361781244,37.48787334908145,35.29429848103369,32.62381873463761,30.40854940086614,28.421025745707357,26.637181950911568,29.628453192184928,30.865808345630484,36.53357891230208,35.54984525030666,40.10412572825102,42.37330483696978,38.54371635364212,35.61076484673852,33.94443550509196,31.545026633967122,29.044164390065998,32.422507099798146,29.47423077028186,32.70575197796262,36.0302746288165,33.84114151997677,35.37547295083894,33.725870998279355,37.24551513674354,36.79558306154247,32.23627084832265,34.87481872137188,37.68760576932282,37.09782559379918,39.66877791925379,35.67063006173439,41.55952275958047,43.449241788770216,40.20035291572668,41.300363465604576,45.84666087518547,44.64210427119799,42.03731108363477,45.420278386931386,44.91798177871353,46.212687650447634,42.60159739072398,39.73924396492813,38.60750598251071,37.22388367178359,35.53336881214704,35.602108487593924,34.87833796266185,38.178051395248595,39.5585878884205,40.7527979535474,40.43352803809844,46.09340713000545,42.795359215263346,46.30602145486573,43.57793010151208,42.62230835880882,40.515601993991446,37.69174625022261,36.46432564682109,34.435554990889585,30.91811465338249,32.49533460813236,35.14398942921113,37.847768628601436,38.24596893760514,43.26503678856293,42.00057637309433,46.1414049968884,43.86734375761975,42.62184219752722,38.39804644118108,40.56338910391894,36.71260741875985,37.75652290170739,35.51677873538572,37.59155011659806,35.98505256449882,33.97329677096082,33.270471994004744,30.296558966581394,29.103193111534733,25.33119946181574,26.88752485834716,23.55863845621252,21.25487366854582,23.885273130148818,20.94657710826875,20.303212364885994,20.74519097653947,18.504551322461097,21.76138771505798,19.639903573833354,23.10976919820129,21.36698215943639,27.3067348220104,28.111789831461046,26.246034504894126,24.694641488771513,20.345513562961965,19.010840497514824,18.692460803660435,14.995993547460916,16.997079412994722,15.850102889374716,16.716645629780608,19.95945354498019,16.31650145007608,20.388734965553798,19.121705476174316,22.721092866976633,17.168212032898506,15.616631811286107,10.563860190996742,11.34208432020315,11.948843743251105,15.457520346509016,16.429985758443785,20.733659874536656,22.54094365305498,20.571226008920654,23.610997923276226,25.008106756549267,22.244092951227945,23.86372130999988,23.46847646973262,24.357198103579904,25.888603803922287,29.07332536372488,32.6960375655796,35.76742384439996,36.162208305181636,34.17142034624469,31.222138732374738,29.561344953063273,29.24574763793653,25.699082327591867,22.108652785238,25.752587042830328,20.73496849842101,24.656032392199823,21.120094729173367,16.219686163101702,17.28427102444606,16.39792594016815,12.960123743402837,11.5888759139629,13.469119795451704,14.96873298466645,19.92388616539997,23.266162259067304,26.53599582346189,29.133969531733573,30.236594968839928,34.22103143765327,31.362110368712766,31.238212046445657,26.816466101528768,24.88284817142882,25.654093697829293,26.144647249647097,23.698045321161928,27.600873900018815,28.293196945795774,29.830404691802077,27.345671764837125,27.59729537606501,25.202576092749744,23.593672690255044,21.075628630083184,19.089963174189414,19.712675554938247,19.735940595307387,16.19769288649333,19.077598316056214,17.934691341949755,19.86789018292296,22.837916607441073,24.29368080906028,20.656812438236894,20.076177089624693,24.539590280050433,23.29082053840905,18.528513468905246,22.816248908161107,27.417111568394212,23.448841467423584,23.456771862991033,27.418360497221933,27.545650868301145,24.67169735627689,27.109931663361504,24.511515682432073,29.50795773788164,24.913051968676076,25.307486915511298,29.457304428703978,31.63519627842246,36.341678628699896,35.91585775224532,36.72626487960009,34.13321916549358,35.870398233324934,33.364096163353054,35.482134314070755,34.29085335805243,28.44342815488605,30.14687970131747,31.687049014834262,27.624342443061767,25.28474293857727,27.131050151957933,26.26844712970319,22.667944353612857,20.494839273733845,20.547340464312086,23.998586324121387,27.308244079762954,28.898921108108492,31.749122687069857,35.86757528410891,33.839453387255325,29.2898096234957,32.89345167603651,34.939187009122854,30.44681125408706,29.371227663404415,33.4768906129448,33.01403684921126,29.596718806147855,33.376530261002856,35.626959545058966,32.93445056647702,32.36635346282025,35.46742481221927,32.71268594031212,34.06234753113235,31.82927555184837,33.79127393661542,33.391743476121604,27.97508430329872,29.003711928837983,30.10524151435924,27.638181182981715,24.086416478986912,28.55424838152008,27.868525832482057,22.650014761275017,22.576159445399853,27.06288163897445,25.67159596064714,21.78849630943895,18.643083987658358,21.06184988974205,18.67920910390918,22.48473893854412,18.746010143061863,19.102283089587022,18.665625083396,16.213472720563747,14.2249442715225,13.916527872276276,12.345970220110175,15.919467764795213,13.936844785573994,15.911257232782878,14.772820783167552,18.329008458064123,22.81833276275182,25.844958076937665,27.570163648242122,22.942832163807697,24.565930661340573,28.625395540174917,25.852140629222667,24.023660126469537,28.02558023959088,30.99770401964149,31.844872718309986,33.48895540874889,35.05440156674345],[25.788667851826958,22.236169904806058,18.554463667065598,17.042175856354557,13.81236212794484,20.46236584761617,20.852402914077533,24.379769051766928,26.82972516953897,26.798523440031257,30.590941529938345,32.47681768645982,29.261762366100076,29.70239062049192,34.06704998788134,33.48165765309139,30.25068485839956,33.85660502605763,34.489425648896564,35.0773628256284,37.70950737721204,39.42487366631949,40.22951312352803,38.25916883728547,35.26305535623314,33.22144864511671,30.749474599036784,28.892629935960564,31.436634603328248,32.101039378740865,38.178161311792294,36.45249460343891,41.0022978223386,43.524096448345134,39.6043546155968,37.05777172464164,34.79872798423606,32.97715645192281,30.458157938354958,33.3762605991365,31.282581565458436,34.73284326020549,37.799948547984,35.766010500980954,37.70073512858827,36.15860844370718,39.50439146420379,38.68386640580085,34.079319561400304,36.36652807111598,38.92436155531794,37.90152987723113,40.47800647744947,36.67699217406248,42.25730170394199,44.56811792562576,41.683929078778185,42.565647977097825,47.112641481692066,46.3114103321632,43.960641665013355,47.355430209111965,46.75312516503418,48.526840375318386,44.912516304382734,41.80210477585372,41.18095385909868,39.53474523593285,38.32056838999938,38.151823528908615,37.78763770582994,41.26541732703336,42.256032145522894,43.53525903118842,42.70668430022254,48.23502755827952,44.7128867155606,47.906140753555334,44.99282537277555,43.956093094149495,41.36112890407876,38.373284372250026,36.61540902640272,34.44564487913716,31.336064807569937,33.14305505369564,36.332430904877576,38.63012293749446,39.730038629319914,44.49907794900332,43.64412836159363,47.9690775610362,45.621019797627234,44.07992873972573,39.87644399958267,42.13068398848761,38.31473368017129,38.71278766542716,36.14621930327858,37.52741670730741,36.13940672828616,33.3345467709747,33.008634731213895,29.296637459981397,27.778361962627287,23.809282691678845,24.59212095609215,20.917048233374377,18.502984194160405,21.680506417279048,19.237738200392485,19.60714831151532,20.785234528708543,19.324016758866186,23.358181055193295,21.902109023110487,25.57761724262017,24.46081488584463,30.489847726895942,30.783949951355286,29.177257392290358,27.283964937264663,23.313613927816277,21.371308534498183,20.25449860430091,16.15539925507853,16.46458642488058,15.142875562221233,14.933247135175725,18.20723062996037,13.722493139461863,17.476566495611316,16.995622851489053,20.866698126542268,15.952213354304902,15.187590186365487,9.574915873809056,12.4390138369895,14.384615980696058,17.67722462312289,19.825906842418643,23.861780305055678,25.380248725078026,22.958572018567317,25.62915367208284,26.623481171843473,23.856992780501812,24.857177097180788,23.736500816703625,24.578437989518875,25.22276632516875,28.69961578195768,31.7116707461235,34.9828816462948,35.829126057104546,33.76979314876289,31.243926528278706,29.04032958398404,29.397406299937646,25.172244186941064,22.23257085886259,26.51477439317567,22.048602382784267,25.597403468544048,21.991782394720108,17.83944530122756,17.687377708291805,17.142267937897653,13.040325623499129,12.73515323730097,13.614072107882661,15.811068977625911,20.161022729132814,23.24972665514063,26.55321899918549,28.70930514487758,30.379874921317487,33.852501299409454,31.295038623719016,30.636821267991454,26.511661881838837,23.91101578966667,24.410204876792726,24.979135936667653,23.10083783823826,27.734931589516712,29.08731685426374,30.469470021449478,28.792046045022733,28.238265750816833,25.553825720897485,23.58701220975104,20.372448165625904,17.776381123424343,17.601514832186623,16.769424769210378,12.949300365903946,15.230409800709776,13.642702244688623,16.11499319169497,18.541093567744852,20.498038737892312,17.198497499387056,15.949694122288502,20.435726451116434,19.844256935999088,15.086555272847445,18.93090012705945,23.810752665368877,20.564301847372306,20.38101853098664,24.187521539638492,24.899338504256015,22.43386015328292,24.407605538308324,21.50928451284956,26.149564519825827,21.19929668171907,21.30740447070687,25.403820322150132,27.177354584977266,31.995887169451517,31.280662929742046,32.05662663325157,29.407362171969115,31.150219859287304,28.810185568050393,30.798122189838576,29.470711905030026,23.706437564997785,25.523961039099877,26.93334028620211,22.79572625350186,20.58736210376101,22.633217732596613,21.605881729816083,17.89626626845737,16.134920494138367,15.908942856100621,19.911980518472188,23.01567013134711,24.568530398796923,27.699947146704552,31.78690057984882,30.164782523402017,25.46210810320839,28.900986311847635,31.32212140691173,27.110079214133926,25.700752294889433,29.985183864767965,29.8818465677468,26.380813946032468,29.756625893769186,32.3191997067614,30.065033407621186,29.022732381539537,31.83406807616404,28.85828447432579,29.943831099231552,27.665625846625694,29.32377015266481,29.011611830461398,23.756687965196278,24.455285199756435,25.46197630691787,23.153873323352254,19.437253187159072,23.72890831917005,23.20716316936024,18.06224775715239,17.743880408790663,22.29520067374293,21.155763270508167,17.341375200291942,14.514559496154234,17.255915078859854,15.508493742601832,19.074808599316338,15.865789367376324,15.68196131751161,16.14797514792493,14.185114048912821,11.390362705342536,10.538071489604874,8.224893384358975,11.513017635372064,10.486585886846905,12.332525346795546,12.58960050516611,15.872234506628649,20.19908148391312,22.894672850672922,25.19889106403186,20.995126887388913,22.152844569985124,26.420252383152246,24.5069221270833,22.624737298771624,26.085346393407523,29.407061867988133,30.680218056244303,32.49694884006734,34.06724995920695],[23.944856886874312,20.54064191401718,17.390824327838917,15.822723700588753,13.86791743955056,20.331475166429612,21.32501447106054,25.148894066929696,27.346420899307542,27.668502883001146,31.46097927002437,33.474717185995466,30.6807980091462,30.77054143809166,35.39870214812977,35.11130252746675,31.994640301867765,35.77817233948071,36.49238590562796,37.42291420111488,40.080587012247406,42.07112960093589,42.765194355467145,40.780282825204,37.88087384389996,35.58090585842081,33.228079234532586,31.1167995305149,33.61235604671484,34.199713238035116,40.030718583174085,38.411552382649894,42.89986465483639,45.632293954304394,41.864040054167454,39.365390577931194,37.213117990308845,35.606439290200136,33.253057327229136,36.50166930536225,34.27116496472413,37.49439440508587,40.74674514833931,38.78542564939983,40.63885103552982,39.10999029944449,42.546208915427684,41.81284923368679,37.22740602535428,39.66780581551641,42.256420477739105,41.305264664604984,43.84167238679802,39.92379644814804,45.505136610828096,47.81391146558608,44.81283638184482,45.58893167356557,50.19641170248487,49.40322670681904,46.85241566173361,50.10472206876895,49.36605723628118,51.06571367144437,47.55035891143156,44.40143864927985,43.42434280458724,41.655542183532454,40.13940378202602,39.73854998261805,39.23052999582764,42.558823676178875,43.798874468312434,45.35706828787452,44.64929119721855,50.37065345441265,47.0933143245135,50.30322299793039,47.56768408840506,46.74473439574247,44.182245859282695,41.40176030184316,39.53355509521759,37.5789409386834,34.460717448849365,36.01207307852821,39.12932715135999,41.28805254750568,42.24588282697282,46.87566445778235,45.813381947884736,50.01084288437112,47.47813119163367,45.83865955401423,41.48214169299627,43.485663645189426,39.507990704274036,40.22461317669127,37.55292511039279,38.832177391031294,37.95838436564773,35.14118631009661,35.24418043653426,31.47827322951549,30.44661478790895,26.198442761517754,26.976402484253093,23.40480360946731,20.519748073317775,23.615682350198878,20.774897843416692,21.574083740438724,22.19794577180741,21.083561435780265,24.912650974279305,23.523256036532995,27.388908357485704,26.265976146632067,32.309657318007815,32.508013068730996,30.579908186034935,28.528287910751622,24.416417026225574,22.433599969115377,21.10759745931049,17.627119258731046,17.518148746428423,17.044704078108968,17.08368515085234,20.865510287765556,16.48808743580369,20.318551059548092,20.259510896428782,23.96207565185088,19.178292016766036,18.04630914545542,12.43956385260757,14.955757162046456,16.414527045191097,20.039086766839727,21.92162429769974,26.29125146378942,27.727905618475962,25.359332394993245,28.265343695200343,29.053319123830107,26.123187396122603,26.94159517120782,25.7893512070209,26.08866446267658,26.67454494272624,29.7155118007475,32.859705180332256,35.61671208022105,36.759606800780105,35.09091103816151,32.713424895842024,30.738198045439304,31.34275002658922,27.383897117719087,24.815502290172713,29.143911164748292,24.7975265376801,28.59950230590331,25.23216871371702,20.965455852256813,21.129067010355538,20.52904058259713,16.504323064724794,15.968810380979674,16.965680393824236,18.839131642509706,23.327762327610046,26.318562852123605,29.47342301652,31.474289513997746,32.89309658078101,36.57381377430624,34.256495120722775,33.6638799188231,29.73687429005291,26.859788923343114,27.701744454978822,28.420000726637497,26.543352727319085,31.167391094975436,32.37282880710452,33.908184471888106,32.08451187587902,31.703979526178685,29.035880790373085,27.106475954300812,23.919895548188087,21.29781847111003,21.000428370656927,19.90157333595139,15.950428803873411,17.72827573655494,15.43658437490003,17.863190426490824,19.64279330087838,21.518175937538626,18.209513860913873,16.307398054375746,20.613288656337637,19.84593807447592,14.415411097810093,18.17383570722295,23.26264581607385,19.531092634804427,18.863530639347594,22.732438336143076,23.565463510641067,20.56325525998508,22.269858330678176,19.37143780320556,24.238899311038022,19.095946282951303,19.801004127669362,23.99251406715869,26.14154088016012,30.78959509651972,30.52813454037854,31.740123708802525,29.481570656026584,31.633538311421788,29.68094094883493,31.831041442943572,30.06892368277522,24.41117635147478,26.78242323931896,28.056067459481188,23.62571625061756,21.886781924563962,24.38679837078489,22.767989073588446,18.78575093155886,18.176624299674184,17.222310197108563,21.880824239856246,24.74104654730154,25.75642307268191,29.130188058630587,32.894146887046276,31.544021993601064,26.72811823164066,29.579067818921175,32.12668043899322,27.959764357197663,26.05524804336861,30.101999564376403,29.907034562677453,26.107467919788924,29.371320743297293,31.811184906315965,29.288794418881043,28.041665406538197,30.926299235782537,28.00351823220844,29.523534184685804,27.704537623699615,29.407128595281538,28.481067686733457,23.258436555098744,24.551960612599178,25.08221251479318,22.421524128066476,19.310595898789938,23.70437497440967,22.426585157335666,17.221065969408578,17.807374390369347,22.038665068513854,20.187477442179304,16.21689293816338,12.81898957421435,15.303369833517015,12.83153178564448,16.550909543866393,13.108199662421294,13.73901712707629,14.276916993604004,11.490357804393147,9.009830358949312,8.059047010132845,7.010529443150294,11.177981603295615,10.856853986114116,13.757781479714156,13.872718817833865,16.170639965287734,21.08298167140538,23.442387243333492,25.95787303183797,21.489165179518462,21.9575804039024,26.336126439826348,24.71022282595055,22.03315382340094,25.324064084679705,28.897736642849836,30.20291037758463,32.216088789320935,33.95313769953938],[24.40178080846561,21.203548972497746,18.427503716642164,17.61298480590878,16.426261681329983,22.688538041607153,24.212044618252143,27.979409621566685,30.294824091120084,30.985248518400095,34.766213895609035,36.665143010454116,34.175528897363634,34.283751507830495,38.96565098850087,38.72275151527922,35.74016246653799,39.60102825152576,40.38087591231752,41.31086943615004,43.97925269810174,45.933388915889424,46.62430573337119,44.595301007362124,41.72321949949849,39.47026778713709,37.11467103228169,35.00139917965643,37.432802338197455,37.89112812873441,43.737436649474546,41.96821248545506,46.422375469688426,49.27572883156168,45.52470231407029,43.129393894708755,40.85718453509728,39.39412482848213,37.02734768283414,40.115292683671264,38.00739799425523,41.326014752829835,44.509018343920616,42.49714838547617,44.33761018423385,42.70815868962626,46.081928803631726,45.41232173111038,40.767256912447344,43.020263707296124,45.68385421922141,44.642644425291564,47.25057243731668,43.470976309254326,48.99963294215931,51.36461586613543,48.471654231143106,49.2825048233495,53.86266187619025,53.08634029364417,50.64330547620592,53.93735466656435,53.205293174498195,54.94908804589249,51.41786294424116,48.26541256351109,47.32406411577986,45.526300710555915,43.998075708206024,43.51962728768469,43.002359208507556,46.286901105118,47.576334566449844,49.211421038432256,48.4813452143529,54.21669278794893,50.940827180991725,54.096169411548196,51.33984889717449,50.49657424073154,47.82953011390606,44.98557654521836,42.986729673769524,40.95651269763608,37.96773576745786,39.622443133338585,42.860428436911626,44.92553012631044,46.03388850308121,50.59003709984726,49.58469688784496,53.78682036845337,51.1949952079418,49.461541500383035,45.06948640058414,46.994808079227475,42.971951780365636,43.64122148699773,40.83979332278187,41.820029205049494,41.234742297196725,38.12140202004915,38.500960151750135,34.44507612285499,33.353339455665285,29.03000191137633,29.36310077478252,25.657508762095578,22.69460784070374,26.021756061687146,23.379359895838114,24.743345023614726,25.441395650085582,24.675040874027147,28.582810636169555,27.32332714895293,31.24014194510996,30.139912936572028,36.177442761431,36.34904623753767,34.35880238376612,32.23432319206247,28.124345962301422,26.082966845227656,24.555092758341164,21.25760538725709,20.52461000991195,20.291858056051453,19.95178356659426,23.716616031165785,19.014346651241116,22.43791249714162,22.778574453799976,26.649631649640714,22.243537324823247,21.479762804063608,15.836437066253724,18.75396803924245,20.311052427926143,23.928017588969205,25.75359579006398,30.083132928741843,31.610878078486802,29.251560498177106,32.12061891276085,32.87680094615581,29.940651479188112,30.60332217373342,29.25567438983039,29.37342875066169,29.602181832035154,32.530491348733904,35.434665828245585,37.98388237482869,39.47580137478715,37.97996883207853,35.84972557067505,33.769497868569744,34.69895444478307,30.597815603016652,28.331873844592494,32.80915756390457,28.574606186981793,32.264973488286316,28.77794999269493,24.565740451746045,24.38955081919112,23.539144037855948,19.474150618922053,19.449822116377938,20.365931026969022,22.506550589742297,26.82221136603622,29.758207884345083,32.925962198465434,34.76575338461981,36.356304746911704,39.852963299775084,37.6521326621256,36.85757377943593,33.01638297830445,29.96833609715921,30.57664668188883,31.19159641877376,29.59752734836898,34.4155167394877,35.870062125600064,37.16974243582765,35.4539859659588,34.7854242053778,31.92071233683947,30.0903386529218,26.581740663300096,23.863323006043082,23.21327048753159,21.557919243565394,17.860056328727417,19.059511785544114,16.361389582243813,19.27113707630974,20.100507634408824,22.421294502000393,19.541180506091155,16.652837849222607,20.655947817637628,20.44977720161176,14.711432735869282,17.67746880752511,23.12301464626673,19.71114234693836,18.35018739814002,22.00608080239803,23.494325173226414,20.307549487530583,21.179312465933922,18.041479602774274,22.69711867677248,16.6942313336409,18.05300525544763,22.22416490567098,24.13345594895712,28.664623027206254,28.473478054820415,30.218588996791876,28.278845530105446,30.741560700477095,29.36392199834223,31.269834885505,28.986709110406,23.7499273836892,26.52191151365891,27.233093993769607,22.60204177565749,21.525817084423828,24.233336852133345,21.743913659469627,17.7191245354314,18.482084574393877,17.275624334222744,22.775472944538038,25.22123506119543,26.012650942466852,29.75944296866135,33.28008066185144,32.49735222759356,27.577909920866514,29.87844737487907,32.82708472617064,29.00592155531563,26.53123311269107,30.48542673594102,30.529836366944274,26.501655799583965,29.233650942423616,31.81344051880613,29.460675838513676,27.617817654961055,30.237150265587196,27.172450404977226,28.802323181913867,27.378517664207838,28.68044001979362,27.2950383907601,22.446275106277717,23.798124156812264,23.628927727422056,20.89117923879578,18.267848405735126,22.15006554365054,20.171919644539713,15.264276296814906,16.304396370592244,19.857633724968654,17.419848324485326,13.517728295292976,10.263820121479446,11.861509556179458,9.349683067285845,13.523237036010132,10.913273765189626,12.439041979673048,14.113993971586734,10.794364158466292,8.25541792497218,5.864341254114467,6.3186758496134345,10.80266315340519,12.313988674150039,15.44266894242468,16.40674137914707,17.90562411205166,22.85433771389945,24.714047476573615,27.686010122554897,23.436629738309676,23.13899607406709,27.615258722900727,26.71876511786434,23.52461991546384,26.260734667766577,30.169465196896148,31.707457978677557,33.91654273634711,35.732525980286454],[21.834771919113464,18.83272237516183,16.738698454921767,15.378593321117123,15.459454967859404,21.19825786081422,23.037240446957966,27.07420100290884,28.934327351465036,29.795759940892513,33.505285999435856,35.59921132541625,33.459496029023086,33.1463424776369,38.033207654313735,38.12074232410198,35.23942113942479,39.22885848358861,40.09701519099217,41.41746674355229,44.121502427515914,46.43446734993554,47.01752467982007,45.05017716093696,42.259062012903975,39.66337359476657,37.433762378709304,35.01874183356149,37.38245435014355,37.810890335928775,43.29550099982539,41.763635929229764,46.126664825052,49.14435018486099,45.59652016584915,43.21701463957214,41.16604130645084,39.89841969425461,37.76801357990596,41.36928852955966,39.05806219444231,41.99815419123345,45.447285112386595,43.60268760827493,45.385911954218116,43.89726216894147,47.41708740473634,46.75675150854499,42.21638550235623,44.80760241217939,47.399223381666935,46.503582765030124,48.97926425728038,44.93779821314456,50.47626261210923,52.819519754527775,49.705455500715885,50.3204648778565,54.99614719343186,54.254217118121595,51.47350183378955,54.52634095623573,53.5994277104837,55.2387394200276,51.872323299971896,48.66158641586217,47.272591891623236,45.32715155106695,43.47043906020774,42.7397133754055,42.08081552100319,45.188119365797505,46.714421907445356,48.64662090430058,48.05549945696605,53.987000468379264,51.03428578593253,54.21877146226237,51.71597909212665,51.172005050288064,48.61669227591406,46.10030924805466,44.05357426802639,42.36932610323229,39.28959498831442,40.53340216382383,43.588223364210016,45.51855387413032,46.3516106277499,50.746062549798644,49.453072810098355,53.470843405025136,50.69722504375752,48.90749559638194,44.38490373261924,46.03556640024225,41.884772779900224,42.96398998926958,40.15176245850209,41.20838553488323,41.06047528507588,38.19006842177448,38.88619164663858,35.033524670712914,34.598706083200504,30.0528895455564,30.7496636656616,27.344603436932307,23.969030294707753,26.9161143212205,23.717692509020843,25.09490341580432,25.084849002076215,24.50030275401922,28.03243000691176,26.82270380877783,30.852288148508283,29.801856357339183,35.771191146824854,35.793576509980184,33.504944076356516,31.25519107804848,27.10265996177156,25.07847971100675,23.463846083972417,20.871424198043396,20.121018222897792,20.656983838713714,20.886848621894707,25.121465590223412,20.912477296120397,24.711475620573538,25.167511569364333,28.656607127841355,24.117230821232898,22.677710096301375,17.202875382455908,19.437425467918068,20.43670580634596,24.29167202212276,25.929556853504014,30.591643026977525,31.880962546520433,29.56926163858293,32.68605080553166,33.178206506643775,30.09243403316996,30.62130221595271,29.389026338847955,28.998138887398028,29.41521182225236,31.83091392206642,35.03137961214874,37.043874937874605,38.62549910657501,37.512851668903075,35.41374336236137,33.724555951173805,34.698427163789795,31.08158798246229,29.05726711029515,33.43606030287866,29.329934576966615,33.359641839663574,30.289132089923264,25.990373630175217,26.39966432204975,25.785390837057466,21.8135277141035,21.12468021965695,22.152379453301457,23.72402515462759,28.264182412764466,31.09725954653371,34.051463068896844,35.80923508970427,36.94918675672045,40.81698850484774,38.8428142335267,38.290455050903944,34.65320761251508,31.418539592758453,32.63736499411447,33.537030675480324,31.710955223998344,36.36356831792587,37.441835735089704,39.150939213219246,37.234298791022546,36.99692208669009,34.33886663445212,32.42186044118748,29.22565926866295,26.539099695015395,26.061053346150192,24.639667351027487,20.597479448246204,21.755652609439895,18.74753895205905,21.025001305051305,21.876580284245307,23.59442657237569,20.46312856880793,17.772638598501327,21.549540778564143,20.628030315873293,14.635320146160034,17.88115944575372,23.03369450338624,18.805176214149594,17.34839183679057,21.10234707925956,22.16390296666743,18.424231589650546,19.517540394072483,16.71680349797022,21.7492417831634,16.454184824535595,18.16064896891873,22.3100034675396,24.968509374933525,29.21285807865921,29.669981380280284,31.51688626496327,29.893151442367863,32.587180700112896,31.239288884216517,33.56582353520993,31.226489966704303,25.88653638864033,28.949025284883483,30.00955566887902,25.313254308303435,24.270093544938856,27.291839662613935,24.96971178148699,20.793795114346718,21.658564598148015,19.84229679813867,25.137085585544263,27.596305993133473,27.868677785295603,31.4989394711414,34.74204980531323,33.820747831316915,28.950866796562345,30.905019493940813,33.601104706568016,29.621340480352572,27.05044351730243,30.647919540627246,30.355862954088625,26.220836067879553,29.176195616079568,31.393750308324233,28.564560365723764,26.983382362952643,29.877812039213605,27.09906685478203,29.229203105432113,28.149441147896088,29.847186992510018,28.028707616615556,23.054550683831632,25.163457435593845,24.9597288260372,21.875438485785207,19.84506968706078,24.16569758825429,21.806507085696918,16.82359931359535,18.72078084895802,22.25176576672166,19.417403834372173,15.476858662667576,11.474122884647945,13.276318553925483,9.614791094968584,13.278183316413006,9.641943554386101,11.864880737780263,12.58804031224108,8.51981763440913,7.196165563669497,6.250548798140598,7.8650020176425866,12.247996565486758,12.990726272678177,16.806187267136032,16.858370430742788,17.7117752751311,23.09679817817602,24.870538939665384,27.63988204416858,23.020336673111522,22.438954919627985,26.820630767648204,25.757492550388957,22.018837627408992,24.845056282817303,28.720466431519505,30.082670054005757,32.3544175216258,34.296175821880574],[23.728887582470826,20.934850552433787,19.397830960806548,16.73670865197511,17.39344797254132,22.775032246954428,24.214822311772103,28.574322807485515,29.744240015250863,30.078963614222225,33.70001732107633,36.288182799478484,33.88016481746905,32.94155998311934,37.96009719303358,38.317359227956324,35.0943888266076,38.83443880202529,39.17868820029143,40.90849968232318,43.27718981096199,45.759224576728776,45.97944017656595,43.78886702684525,41.34823027236935,38.657540567502394,36.89258531424909,34.5804887569127,37.30677866004459,38.21016544905445,43.32281008860768,42.42769133305368,46.78779125573945,49.588171565479826,46.11954877270546,43.41746639341494,41.85624958892802,40.09718487298118,37.96333021265282,41.84335755697598,38.84904722326539,41.64438458543242,45.25760196119848,43.239701303572744,44.633267930818896,42.993727223485,46.60774485678865,46.33319802211506,41.82403233648469,44.59966297988991,47.46115133204703,46.91613201408197,49.432085050418976,45.303702078389286,51.10418667986254,53.07148545895614,49.689958495246664,50.547102076546544,55.190520276107875,54.06334294524217,51.12995952007422,54.20037343030124,53.39513784833479,54.58220257142606,51.21808417623319,48.26851257941133,46.43925345926102,44.756635421195426,42.45601294571992,41.932619760358556,40.91915962516046,43.80193064819952,45.73528818065854,47.59802934764274,47.50076432380799,53.53115156658198,50.78844808206508,54.24907735159208,51.901141283363906,51.39692584199534,49.2565724479734,46.827584392614774,45.22801672931396,43.58816912627701,40.19277778077928,41.32783711821538,43.95320976972569,46.23889344690152,46.49663409233908,51.10704102852755,49.46595519995146,53.30564167172207,50.601693987078946,49.07490109253367,44.53693363951259,46.07889971226612,41.89089761893845,43.56285269013567,41.02252891569605,42.64738987972041,42.3337934032456,40.07865779296213,40.46231956080555,37.14343328565419,36.847722885452164,32.442558064520874,33.65446246862251,30.3657523070201,27.115713427103472,29.799884810275707,26.280309722823294,26.92379932776953,26.416245347163912,25.257933015890156,28.165233358412166,26.44528700230805,30.265081377156452,28.688337078080593,34.467090270639886,34.95447293994654,32.412888759268924,30.47276512927679,26.02325832987179,24.549410882718135,23.569912978964886,21.389027485688874,21.846379453040072,22.434818255174196,23.311871591886643,27.505318321312107,23.610303862205573,27.66383642330701,27.497097190165473,31.01492550680884,25.952821582973996,24.14008162351951,18.83597780905338,19.99728293286048,20.120571004273835,24.035788546123523,24.665990006782977,29.40323319403759,30.96423567650782,29.0829104818818,32.44056567975394,33.28054078344195,30.22579813890723,31.234474691041818,30.549548915020843,30.20231387852113,31.297026062984354,33.49482832294091,37.188491912456094,39.02658623593639,40.26222024055251,39.21985880373106,36.78249272566045,35.508931963213726,35.96216149442823,32.81728488896618,30.26984829820624,34.18356934010601,29.65430303138126,33.8970404911167,30.787008592545412,25.96921727827549,27.07510308576743,26.070311883328145,22.51962427876216,21.414169625778758,23.065034096504633,24.33759565529169,29.256102783584673,32.3133895002399,35.299045771127886,37.41830954051691,38.184590640480934,42.417010894104976,40.16004325521729,39.97376523896482,36.03498723936542,33.322603453842085,34.59044168699325,35.34257084402693,33.143578814113155,37.31153900830294,37.9723614491944,39.66681062369308,37.11755135049375,37.404241199638356,34.880164013372614,33.308815615041574,30.47827448230619,28.189014065622533,28.213950741694294,27.290421197752202,23.423718975166548,25.17111684026162,22.580981465746873,24.739536103149447,26.11283201159873,27.628829368063638,24.22250717425475,22.04542429568932,25.922561956465966,24.604493604712726,18.684228072918675,22.260061201006963,27.19266592204513,22.474535604163272,21.20100656353869,25.004989800244587,25.591082389933863,21.502270495741787,22.92351824499759,20.46852140035406,25.659506482130546,20.669098696687982,22.621171506195132,26.7288830730694,29.54817135778918,33.656213217451985,34.27634880528606,36.20466160125184,34.586446914120856,37.24259627917631,35.77562057954182,38.0864191820028,35.8273816657651,30.444311017275613,33.34366785251688,34.3729523174178,29.719728019217026,28.536969945482078,31.302420267619397,28.99724751358891,24.943329313620698,25.334739565856033,24.020769971724523,29.032474922168674,31.719199598858125,32.20572375409695,35.68850376338895,39.05378849171855,37.84657479773337,33.030960988468195,35.21092474617219,37.6812498582195,33.48222862111792,31.175697830740763,34.69136095939516,34.14949503566491,30.083352498618833,33.32467245939648,35.31411340230242,32.15388768472923,30.93138000112056,34.01376710974336,31.40473374235543,33.69389022597422,32.61748668611434,34.465948714131144,32.629941647208604,27.5917750798043,29.796391603109242,29.64969292510773,26.534661074663482,24.501374320563006,28.807392425687986,26.383453077769413,21.470009305244453,23.234600627849574,26.663768475500536,23.710770090932172,19.849017098738077,16.001743926592503,17.147411371068493,13.356973498657004,17.20787009107801,13.567645819534059,16.155195464215335,16.101247026010157,11.791496516087832,11.303470887767777,10.759023449950028,12.196937097837067,16.699251376903703,16.63215308686657,20.357973731108757,19.598754896981337,20.883059595727605,26.382623874603123,28.462379928023047,30.816306836820264,25.86440266817661,25.68403942865252,29.907071210943304,28.155796652735248,24.433585093317323,27.696579477944237,31.281336112799508,32.279652765761114,34.41794891424128,36.36846912184522],[19.893434516434702,17.001536093801207,15.51776317180982,11.768656000225983,12.866131974217842,17.641471677154733,18.941160258154643,23.431204949946828,24.228784632231577,24.595944779047933,28.156520726103135,30.819035147235912,28.650691353513412,27.534333464230727,32.6246527221446,33.16608517036581,30.159198177872813,34.08129550968778,34.80127980451816,36.72896582310695,39.32826687873654,42.14855785228366,42.49285667589388,40.61695643765247,38.02927699875463,34.95819834624039,33.06835221379399,30.345375835524692,32.77810595828182,33.48394562775658,38.30712998460276,37.489087238129734,41.73905016921487,44.69677130679087,41.430037815518254,38.86265988744216,37.41896198402884,36.072351841447556,34.28859618718262,38.7093675652402,35.85231701195312,38.118343744001976,41.96967108124507,40.36557854487101,41.95946115883824,40.74425246686259,44.48438051216269,43.870319007113956,39.60590408556364,42.820225734190956,45.26829041882961,44.759459238542725,46.972660288431165,42.50904313217694,48.11408382163913,50.22657055963035,46.69228953577992,47.099015664287435,51.85623603889202,51.02597374247347,47.70740378034248,50.39957166163427,49.28131789350733,50.59382924544227,47.47116668169314,44.30571825232191,42.209144379747926,40.215719149213356,37.84151485230602,36.962980505209714,36.02737817757799,38.885127324444085,40.762860786854446,42.93160565178652,42.69855708798065,48.84036903388243,46.35918686827962,49.707440951531844,47.59848875007268,47.448228777731565,45.30963006015018,43.31064450579001,41.53849008229547,40.380251474971274,37.008383193799084,37.59062871939118,40.091834528001606,42.06170971384141,42.188546286355304,46.50667802417736,44.70008231997694,48.406638541084256,45.531704992747656,43.89454415565592,39.286634204462445,40.65861499000528,36.41963314545453,38.262681562474256,35.72969349236859,37.458527189609136,37.39884323439267,35.44628464636841,36.045322283042836,33.04516517935967,33.478037609645256,28.957155417475633,30.706887019584528,27.91594362572422,24.384746978888632,26.452506361620017,22.42326697022936,22.813386742001185,21.61726465819479,20.647362598709595,23.213957686045795,21.75073754632859,25.71080729004701,24.55366206642124,30.278196850851423,30.281515081511134,27.613335969793916,25.41408536446699,21.141809297897865,19.450822322779512,18.26163820771565,16.746193316827142,17.28721655735551,18.54104558199759,20.114457660627814,24.63358078711109,21.642300069350195,26.094733242309673,26.05028127233123,28.83109280802237,23.800871470095753,21.15548044426281,16.477953224325056,16.795770257031144,16.482299903564495,20.485048999976044,21.54141129227269,26.571087988896025,27.468987021809355,25.406608194735924,28.878244665679368,29.16503331702763,25.98380237594988,26.67950710217695,26.067065798214834,25.281022142318115,26.626958525491936,28.422400868565948,32.409503731639845,33.97609082207981,35.05443419699199,34.20608865419157,31.735810397799668,30.833897333388187,31.24744928970581,28.649784643718814,26.44597768750684,30.23143513203273,26.14609221646313,30.6629419644961,28.324254236254504,23.905465454682503,25.560018505680727,25.396193721455898,21.922686398476355,19.893507602003332,21.240393257765117,21.628684721259678,26.512261785604288,29.24294396446573,31.845781822012654,33.76757323779462,34.02327010799499,38.58731910715431,36.68066896904614,36.76983099467958,33.26197851384041,30.277693969205313,32.40269291535926,33.64426705402412,31.20956420098419,35.17943496672861,35.39258672055551,37.79509357771525,35.38931047580576,36.117986467841234,34.0129557917868,32.04531131634453,29.740796078110233,27.403851106367576,27.6093499881694,27.139227524306065,22.780792986667702,24.558493598067415,21.9251305429485,23.04652071481927,25.0148672353541,25.609184367966435,21.827885629162775,20.673150018029027,24.45272959932564,22.169992293369905,16.71718006155999,20.98470305382083,25.17860851079847,19.827629057872915,19.325647955536187,23.258242523335902,22.85350295991605,18.893578857898785,21.41302227855531,19.494965930509704,24.900018366384415,21.477952738613993,22.64599087004308,26.662297919367564,30.131516502163798,34.20141223268479,35.10118179050717,36.42250958530724,34.690147947194106,37.17646734336902,35.187218725197134,38.095404820747426,36.32474805879549,30.489733920633565,33.26529396319918,35.17203032474553,30.668353529475965,28.945590296496672,31.891966006912725,30.572028502773392,26.36509375056366,25.877804930514813,24.03289945819496,28.1144385749176,31.026419902331426,31.163713395461727,34.164735553842874,37.420055617817745,35.6418303652483,31.05948173225029,33.35800365838857,35.22439637109812,30.699643701677132,28.869887595086965,32.1281769641326,31.13970998645341,27.32353632622372,31.1639721330239,32.74625365748985,29.19668247782087,28.798700734561056,32.26682883443015,30.02985364518905,32.451649010337015,31.217071314385684,33.72448198181382,32.11752938201629,26.69686837359961,29.311518545958933,29.87840830934176,26.674944554110137,24.56953099345911,29.668580711351233,27.80418196103454,22.52628955398636,24.41662076329953,28.59043132281982,26.091387706923197,22.057391498449174,17.648429820680903,20.221843410734138,16.240959175027694,19.098946818925132,14.26329254259846,15.706910263477793,13.936321050109525,10.524399983758553,10.73353234549435,12.046705156146386,12.704436225302175,16.468033953589032,14.580205938192675,18.4100141585242,16.331905966663992,17.43678523760523,22.970058803234174,25.282144073964506,27.03579612978768,21.789210833317156,22.04487645615799,25.974605629357157,23.532689033666475,19.991419396720044,23.759231792107112,26.915542770649008,27.58926884494848,29.565721077297713,31.523005850431176],[19.567153892731188,17.300868745475043,17.071182069618008,12.798019694502267,15.576948199215378,19.04824336141009,20.556829006664003,25.136664719500214,25.16812946520205,25.59616905442555,28.8846941877326,31.827655468082458,30.086010612625515,28.324607203093855,33.53394970769811,34.51866067324755,31.624259430119775,35.48848362913516,36.11207545282,38.52248180748253,40.98800289256935,44.1432614905838,44.25904704823542,42.391048183325786,40.05646846804288,36.712261362870365,35.149606770861965,32.2571379168018,34.65424339806664,35.439758599822675,39.65760154707143,39.27680343816492,43.33827131372769,46.36116449724764,43.37963961452744,40.79710806748001,39.72483689262034,38.46476845595046,36.930809683029295,41.73714951132606,38.58732114541039,40.4482897971394,44.49832613109084,43.00123989180702,44.3875762873512,43.243521936993126,47.05965758149194,46.60345101406283,42.49523489315857,45.94103795429809,48.39701593860232,48.09508865255307,50.20717308132056,45.59726445254995,51.204426065013976,53.17146574797961,49.435060972578015,49.75096049492851,54.51525534896837,53.60745350824654,50.00697484083832,52.456599137310924,51.21209782071674,52.26817313677216,49.34341259424302,46.25764182466932,43.62433364155842,41.60428399073649,38.782883079461165,37.71065351069847,36.50926833167074,39.013705741275224,41.27909917723508,43.71988080278427,43.805264470877646,50.08661108443133,48.033403159938636,51.44021746103222,49.64861111677168,49.78500582121907,47.88564798527364,46.21447029339448,44.53435320028355,43.672787229820905,40.227244246895005,40.45069965381973,42.63809317523327,44.54092950379934,44.2629275368562,48.408806683597305,46.24966483068356,49.65528030105009,46.6493999151461,45.05029232336311,40.38090709230597,41.377657912689976,37.06494326164593,39.5024121213673,37.081892328954645,38.96957947948668,39.35268179186145,37.80049715629363,38.638565801965285,35.979257100888965,36.951253071877815,32.39524662400245,34.39154029220456,31.86132523406764,28.16891687245409,29.899599492362675,25.583582763873004,25.89442218823269,24.013643805228384,23.171516334272873,25.013896285749524,23.538226893410332,27.339277557052075,26.108100757685598,31.454749848155515,31.459315581762922,28.451977627354708,26.3018539349907,22.095663417772585,20.743598865802632,19.74801868755251,19.316535156047983,20.035647191305383,21.893490363581645,23.847424598212868,28.475012343348507,25.85693139423238,30.37340090368887,30.34800222196564,32.90449446373802,27.87179607299191,24.90066964090545,20.594766683307377,20.29959048108409,19.33384208364677,23.24537338675189,23.71923089990476,28.815184585372197,29.568041113419557,27.78383448483459,31.406696037475584,31.552164557963575,28.368736112667317,29.029520208780706,28.677622130445105,27.426667449456247,29.021748076786807,30.154036278749917,34.395488627942356,35.280132850343335,36.386265401646845,36.00790309388725,33.58848112726416,33.19578004740406,33.549195049954086,31.577629354672737,29.570578190744516,33.03696881897659,29.10220704597504,33.77821826123633,31.78307520245181,27.314982122404835,29.411927132760855,29.228772104409785,25.99405701397489,23.690500144834946,25.19099836177861,25.189302898558427,30.10498179506599,32.729913187780895,35.11266801947237,36.988694121430996,36.79327523419953,41.63737255936224,39.89710392312058,40.23273733424363,36.88061908573383,33.92990318005572,36.38938918327487,37.734703183040835,35.15651966248528,38.85773793533094,38.72698008631951,41.33214598926523,38.660530636945644,39.774016567270934,37.83233806056984,35.950938940763244,33.89421653207589,31.683740999805668,32.011855907802826,31.63602467639177,27.251489971342234,28.972683735370733,26.20542668747771,27.09001400908871,28.89352116938064,29.179422485118234,25.4104285306105,24.280819801139195,27.733605502822957,25.100263516326365,19.75695723818749,23.817067995239043,27.632691919780132,21.85924625732946,21.21365969426529,24.92928444861197,24.161661927408897,19.79426136777953,22.284045585062064,20.89196084169216,26.26355130985001,23.470785041592634,25.03580604934872,28.852680407180742,32.72905968573804,36.436322060090454,37.84904776048339,39.38772255332517,37.97899496961276,40.66523944931381,38.84038035084207,41.92596569380761,40.011078942071144,34.26790788240006,37.2605642151548,39.202433142469914,34.63694289175496,33.08929837576057,36.19110291691384,34.72866649925864,30.46779869618047,30.296443710445374,28.21527218402394,32.31223711097535,35.14466649378842,34.95659574603598,37.905026510633185,40.891446617266986,39.11476348271154,34.63370819840583,36.55865213983714,38.244587695779586,33.730453555654535,31.80294390373454,34.64748724029041,33.39722399872744,29.58575397308728,33.43102552281307,34.63050964414551,30.71232054323661,30.531282478568134,34.11116772431406,32.188441646758285,35.00426144475893,34.15617402418039,36.82931719158998,34.8204003343371,29.53271845934587,32.62618465772204,32.98693543038976,29.60477822364981,28.039118835207947,33.16325287265327,30.8989057726963,25.789752771432912,28.17541787438176,32.08768701746194,29.220059866463078,25.280539865753997,20.73106321112553,22.92447062737999,18.55268213832499,21.02847173594333,16.18629582483233,18.194551058050106,15.936807967766313,12.398773369605356,13.67968459578534,15.258594903998574,16.60006977062267,20.254792401924398,18.42449763369228,22.428776886994754,19.984438185068292,20.46273508479968,26.020220564187586,28.119614137058598,29.636636038961306,24.284674906355736,24.21266655135417,27.82016334562167,25.291358339721704,21.309493675336192,24.957929445585624,27.893393244812707,28.26572526032969,30.22958746032292,32.272348698040226],[17.290993151563118,14.75432436912526,14.091691849161892,8.919673530654043,11.529334983193483,14.419781283862577,15.602161645529595,20.20456007475124,20.114312800262923,20.543887528537226,23.86345703973291,26.750542337566877,25.089509700824372,23.434647866966614,28.638575683157164,29.606382671348843,26.920355272454408,30.963106243551476,32.01791623549835,34.36148162267205,37.09370111273575,40.371968343452046,40.721836963079255,39.17017097511673,36.59935797193206,33.07277762425036,31.2512995250937,28.07589367759908,30.148297108311386,30.681360751881794,34.852316310090515,34.342805392292966,38.35668487047171,41.488065196338276,38.58597629457733,36.1670810578358,35.04378120963443,34.16587749473559,32.877065548017654,37.929096590258546,35.10315273626504,36.63515050104743,40.75766276011363,39.60938661506208,41.26559549693806,40.487883689968,44.32337369966601,43.48682294378719,39.5816977768751,43.242828614375995,45.29902737371049,44.92503353924934,46.79642977224554,42.014449819692906,47.380368720630344,49.53392568099973,45.79751808779432,45.742601259266614,50.56662842105721,49.97759101937667,46.19903935130546,48.399095912094964,46.93151929563751,48.23266378986182,45.45584022455888,42.14936499906864,39.55043604801073,37.250633539188286,34.600404093987066,33.262754315399334,32.28302883123592,34.923297749644924,36.924889214601436,39.52724517351442,39.31362023543286,45.604033481900096,43.5999545324624,46.84755858050055,45.13714201698144,45.46595109829739,43.46490311181504,42.05290438138861,40.18584415321783,39.6392552700901,36.30420251512496,36.17591190830616,38.368941633194794,39.98037581238182,39.77673487276447,43.69130612413266,41.55863279612333,44.96740813070551,41.86894917648934,40.145866274943955,35.45386004074389,36.45523126635522,32.13589762103314,34.45823034940959,32.00495311332166,33.92126735916493,34.34599057001428,32.93231070473523,33.85800593488301,31.399096424065682,32.80009706413741,28.25935413550269,30.60061540746933,28.475589997240395,24.740147740325142,25.973750789749985,21.438275218135015,21.49663993228288,19.212675556376183,18.55757537451617,20.25028635430059,19.118598502861946,23.04805765260876,22.338412814020902,27.686781297556237,27.176741457769584,24.233023824515932,21.794246230215762,17.85147455294391,16.122817155783345,14.807066856973515,14.835429965863506,15.558481413972567,17.810947832369806,20.202983869536805,24.86684237764566,23.018373662458185,27.648042740525057,27.71176386620485,29.65453268661569,24.832594604254727,21.38795212760372,17.804305697351687,16.974350389714385,15.885280294397354,19.67216705524131,20.80826131655829,25.95794673917555,26.10930300962008,24.067101617322095,27.63157422860746,27.284845636219416,24.047574280313484,24.37576128282625,23.99709518490955,22.502912554070516,24.23795228095024,25.211267122061955,29.60002890315453,30.517639589862082,31.4262061537703,31.02921469679741,28.56962748087134,28.34179799134562,28.670061912363714,27.015693211956094,25.315977603110046,28.708775202564087,25.249177451845952,29.98648146411836,28.600757177900267,24.675377252723642,26.957253162764832,27.48486820941439,24.33430890419457,21.53059180149933,22.618105446619523,21.995705630374115,26.65778909211981,28.946735033401502,31.011656749731934,32.684378132742374,32.206549714111425,37.16769542874946,35.70503377267112,36.17493415348357,33.208367291256984,30.06510537935065,33.079214258661985,34.76710617048204,32.11610631904764,35.68878128368079,35.32809577932312,38.41354732666363,36.05410309924646,37.33050568806948,35.69779462971608,33.483296476421145,31.793510367502584,29.550598557015782,29.954777456642287,29.90372890447228,25.316481850313917,27.02286409749292,24.412408319559546,24.518378195303843,26.830191053083944,26.467405923238793,22.51916944125648,22.3373830897171,25.702699068959447,22.49581984574106,17.869109603910832,22.356586137360065,25.53644616139721,19.64553688978932,19.83225164860796,23.573840808237634,22.084788401841838,18.267724853274352,21.66752540772164,20.55843167771719,25.869690661586038,24.090721695387856,24.791080661598553,28.50033704614223,32.557708867044994,36.348089947638115,37.67864082120135,38.5957086072289,36.94700603629153,39.33974736276758,37.03636184497305,40.45430318182907,39.035357233450355,33.008055684566195,35.71777216975916,38.28416438358994,33.95406555950338,31.943486079601815,35.02495457895161,34.39491796233558,30.152088505283658,29.182664734229775,26.902622548712607,30.11346688982151,33.091803990687204,32.79124340704588,35.28698776690665,38.25813950167223,36.0119768417118,31.790071432320723,33.96500742495838,35.165935245269246,30.445502784973414,29.061653493689523,31.8044259575668,30.29323058317033,26.822092274739063,31.117516044879157,32.10822265407708,28.099153280233285,28.594377880430358,32.3735347653557,30.663354396376935,33.31715171215318,32.15146200464068,35.23249010564777,33.67170882977593,28.14643766299736,31.23332856071639,32.26083675767051,28.999981338551677,27.14816755032093,32.70695741162899,31.125233502045035,25.817398858776027,27.945228052087558,32.42285005136523,30.129849907778606,26.123221101469884,21.467600921154972,24.658039389324824,20.543108664522585,22.526320320851518,17.201300066670342,17.944812742480448,14.684602009924161,12.481832453062275,13.643407483596434,16.08729249851751,16.50788891365785,19.387606875550226,16.24066866734511,19.914711540730096,16.583847122171154,17.100504501586144,22.367586000721737,24.7149032935767,25.692168930459783,20.26175616980976,20.808813658669624,24.129689898243267,20.951954349116548,17.51073938715495,21.65648465515262,24.149891123082433,24.292111803011423,26.058490014313506,28.0406087631746],[22.2091891469495,19.42570082556604,17.912828052933843,12.846332222504792,13.23872004461191,17.058913263982312,17.059893681958457,21.607264238700264,21.52306374498179,20.83463621214661,24.225220931193533,27.42848001458063,24.696381610139834,22.966671736042464,28.04172387178648,28.77825459740927,25.392403016100562,28.988307198526243,29.278617517109634,31.58475873247647,33.94124052191386,37.00179098725374,37.10980860974288,35.23164340585992,32.863404747812346,29.573876839017736,28.06421267191274,25.34600165889923,28.042668458917152,29.253061798165607,33.6080283519112,33.52140616458866,37.72593229100612,40.35028939285466,37.201020928325015,34.31958961252865,33.46862548784921,31.68503178416881,30.06083267694217,34.92506630393267,31.512210414254614,33.33816631552704,37.3970834188134,35.87036576814735,37.222297138617385,36.16667684430303,40.01033039116356,39.51113288235265,35.50408532968362,39.107829706577704,41.49290823660418,41.34339226610664,43.38321229600287,38.71646424685365,44.409128304950244,46.19293880259248,42.36564687806134,42.79348884775625,47.518000181072274,46.47823515624164,42.87445578588264,45.41281926931759,44.31622448122363,45.27116792149289,42.2464689985972,39.25391628981914,36.7330316118754,34.9166272069349,32.20293097159489,31.514989369159043,30.327165990733693,33.06998602743466,35.17677036657696,37.24638119636222,37.388566230219936,43.575099130702775,41.31186128718432,44.879942318316395,42.974598713297894,42.95421257462395,41.274672510616526,39.54644078299617,38.25683546879881,37.35185267102258,33.70803371586098,33.92792099932888,35.86437392782451,38.10615384754871,37.580950626316046,42.03846533101048,39.890017098432686,43.40874295379612,40.6534980917085,39.33358455880417,34.794978705745834,36.15672995451521,31.984921728864048,34.35854778973793,32.262296743089465,34.80535602052339,34.272414371676916,33.26297685123535,33.30063690345842,31.217596235614288,31.936462223089332,27.81352979176242,30.391469051490667,28.06470239016346,24.91352225242529,26.307604535313736,22.06771049404388,21.134365578479155,19.29934394747139,17.454711265620382,18.991759289128808,16.956209902508867,20.584157937411334,19.057189079587012,24.53594680098486,24.832456141570933,21.98941933266324,20.122740521934478,15.622890945724446,14.594509752549646,14.438807291039412,13.574790701349215,16.156460387300775,17.248513024701765,19.78632301966669,23.915347949658454,21.97205404746001,26.606341405758908,25.83425799611234,28.100604138495147,22.743374677570973,19.420531529487008,15.876425220149251,14.257903964391403,12.559322769626068,16.34433636744985,16.54694476375983,21.66245557152948,22.379592062291668,20.705473193035914,24.37597876157021,24.803990976687086,21.72612466759477,22.933052739489145,23.11589193827439,22.52259506397327,24.882760751593796,26.49252484988545,31.03250289120927,32.68124797061637,32.98101853012529,31.99488860154029,29.012864722487123,28.67345890142742,28.23497470015072,26.43720371535777,23.663335161317193,26.645961104830118,22.395762554792455,27.11132579110491,25.25748377047931,20.792837342548918,23.4648742221528,23.555417438238955,20.820378785320354,17.84673998228899,19.51701682450648,18.944189316858985,23.92647477941785,26.623457476366983,28.9957639055963,31.249358622319118,30.884404925551436,35.870480196250455,33.75612027800145,34.40280886359656,30.82655742279592,28.499135583941484,30.991600988083047,32.28423196888522,29.37654769200601,32.54569654084796,32.04278142192414,34.80281993729465,31.956218701599337,33.47009908849079,31.86859083577082,30.03050425964847,28.574375076839605,26.747303379364045,27.616372058008594,28.03432307830662,23.858122495837794,26.26640925537148,24.37995154246367,24.86898482724355,27.825919689417933,27.866080819391485,23.800993801608257,23.91968025515038,27.78242369163735,24.961942990899935,20.349108287082004,25.070877730665647,28.646849669136945,23.182049863159758,23.50805827319151,27.420659542722387,26.201590007519982,22.670220286192297,25.989405593635194,24.448687351250648,29.804948749856454,27.120212407095668,27.75592320801357,31.694817582673213,35.23361333083108,39.38166066929476,40.145566777950684,40.969705292895554,38.920705219788964,41.02874250752995,38.465303149920445,41.51358327402479,40.31015546329507,34.19510565175271,36.441975250796034,38.790255336449526,34.568698807167856,32.269395218796625,34.82238673033281,34.284723745966765,30.264594550831266,28.52492911084005,27.196951375538028,30.185574228350873,33.45819051173694,33.9142907271396,36.360367332692114,39.832658236723816,37.35505639688179,33.09739464758533,36.00727427906695,37.26945493908744,32.429241349362144,31.450825951631586,34.65377795942283,33.32567513065105,29.990330380727947,34.369822347523694,35.67069562301212,31.950753848270903,32.38046609461885,36.06496206287648,34.07231091833662,36.31492964663969,34.67785059677059,37.53983288227689,36.46089725848438,30.821852956575007,33.24477952688302,34.451098880232536,31.41755473723573,28.86803328424204,34.20686681530544,32.971083851827316,27.55146914860184,28.892364202267295,33.501292102291515,31.479267279986388,27.409068122329607,23.124557660121713,26.01440987890637,22.258398878688514,25.09788973539943,20.097926825285313,20.835781705626886,18.25919771758456,15.819729092609276,15.972700026202496,17.581666715201766,17.335993957754862,20.639295586287854,17.33380579777999,20.37084744467049,17.083733723596865,19.068070561067234,24.038123690367605,26.918472667082952,27.760142174149347,22.41304931477669,23.84005610768286,27.267046135048705,23.58374741018132,21.06724388175415,25.529707464005106,27.86107426337926,27.947454885432116,29.457490693904546,31.226093983442425],[24.641460989159356,22.447579064094217,21.882676639806323,16.327433949676905,17.802168312717807,20.20036056170423,19.913604549962148,24.35689557846238,23.151067715851404,21.962519694568655,24.834893078699114,28.55871301348298,25.98252633801678,23.24792510871418,28.280063077021982,29.571793513026737,26.110002559272196,29.271064511891936,29.026932056033846,32.039624642411674,33.958011486382354,37.40163290741198,37.04639607417987,35.096970060561894,33.264137653411936,29.70849435372351,28.91449471374835,26.218321462925932,29.048999603012216,30.677791321567526,34.0617604509267,34.88122136507863,38.81342870267206,41.226369179580516,38.446642052712235,35.37163259110691,35.25732771141552,33.23284766859385,31.91093522221051,37.17811782457999,33.15634330078036,34.39006208496068,38.651376857726596,37.18729327434192,38.07259293436375,37.07699200633819,40.975832544658495,40.83337851575412,37.133523048490176,41.03111933092245,43.477533097362574,43.744400640482944,45.642679149082504,40.867147824271164,46.58903420440606,47.965155381952606,43.84083138165172,44.30928976183541,48.93506536440831,47.606296674482216,43.67623561670739,45.937843182716335,44.82324082098421,45.21233050093974,42.42991840594833,39.745798335657526,36.45400031743464,34.854051176394606,31.44926737602241,30.79318702855737,29.09512934466943,31.293013584482704,34.02989882860174,36.22575318601169,37.040308371291204,43.30665353996885,41.61257265447152,45.37743382086437,43.897106801287244,44.16311222830644,43.034374947116056,41.710752649052885,40.854295686523876,40.27434700530243,36.46310455815433,36.26160284559839,37.540366494765436,39.921375702218704,38.617218721839166,42.99324807711579,40.32244539052446,43.383540466584,40.64171861822165,39.615001529177185,35.14013608811306,36.103302713221964,31.974216820172003,35.24619926051794,33.56432066838178,36.65675505622213,36.26841142790563,36.09922405404294,36.040511373541605,34.703894544645,35.89150460765342,31.999904350531995,34.992542338243396,32.9931219608721,29.915911814318022,30.887662055100126,26.481964731696145,25.06494457412048,22.52767289886865,20.47976821338187,20.705526517665476,18.369177173173778,21.33558620950839,19.3967002924752,24.017566250301353,24.68780949930906,21.43103757186822,20.034291783755304,15.648150035184466,15.680188007190726,16.430896827198247,16.94848671292242,20.248918095844832,21.66315579082303,24.627255351074254,28.57305824328907,27.150038671701505,31.782063904088382,30.742356689133608,32.74533265794912,27.343323124358303,23.756581890229917,20.892395870436577,18.3899467878968,15.732123877376358,18.93632635167585,17.785378707533358,22.64514655413045,23.277947778738003,22.315209506723594,26.080206188304786,26.58775321460068,23.729670809567352,25.21524355069638,26.046728292312736,25.197938390632416,28.142880715210243,29.06869237517016,33.97036995173803,35.02916885440147,34.99266284027212,34.378025906345854,31.250440377025242,31.623326776616906,30.721756775111864,29.85433656201435,27.010998174854958,29.203364611809057,25.05295714820003,29.79718183199535,28.385834685594432,23.89328144425773,27.244347492221767,27.19593569494386,25.061983634886857,21.793572303857935,23.758027090361466,22.669022677407966,27.543871233728634,30.12816903988703,32.207560545306585,34.58012899972772,33.584015281756734,38.892189708789694,36.7852739789154,37.877657989089194,34.37566108297551,32.501057345221035,35.22493448571185,36.499162328570144,33.34292498159146,35.85147860473146,34.75451600349298,37.663009954965744,34.3022148870506,36.48732845904327,35.22323699168493,33.67825395555914,32.746167418807154,31.297176985904372,32.49056797662639,33.223019288969525,29.20343621686422,31.761135604744606,29.985005661029128,30.29583237319325,33.32957450269426,33.11408142704624,29.019895551331782,29.331204207288728,33.03275598458069,29.910223812558947,25.453142074228086,30.120697908162647,33.38883112803858,27.614304734545332,27.95121571165371,31.722621880098814,30.10657867359554,26.371051020906638,29.77482154105379,28.63371613545378,33.98220124858948,31.709589563931512,32.6120056229495,36.45205274807917,40.26438680943807,44.198603405211806,45.28595585652669,46.22006142388202,44.31692436194923,46.49788438252186,43.936701882023215,47.09099856701545,45.877260546662455,39.76676766152843,42.04847946791807,44.43525344255396,40.19662533107677,37.919131428316874,40.44890053376417,39.875712979546364,35.85592048621395,34.11068754933615,32.84021450384625,35.695389348626904,38.999661238114506,39.36807193217364,41.6723877106653,45.03277514286157,42.38860374893684,38.28742633139892,41.093702849247585,42.091581274212146,37.197746529792774,36.35274328263985,39.24843134554983,37.65010801529675,34.44441103658028,38.933310890215814,39.8878957960042,35.85843638164547,36.63094869238295,40.43819195422069,38.71147137393518,41.20122707768016,39.75064901074314,42.77860511778782,41.513656223918304,35.90993017013261,38.606277877455426,39.75288823604521,36.60906095915519,34.3087604447199,39.68646620182376,38.23214562061865,32.859340707663385,34.418456985942804,38.90700184348816,36.64950705546439,32.592167586657304,28.217576326251745,30.780638003721844,26.76012728928073,29.546680060798003,24.52960157474862,25.667380482603377,22.753099619182994,20.194991892450588,20.92407388930873,22.60179353776021,22.754965624880587,26.140627675558203,22.802734880931467,25.835304542644835,22.20417388676995,23.9164948351237,28.725523626552285,31.564629384965684,31.98399316921431,26.61594324310049,28.067324175293024,31.082284018884803,27.016096103108815,24.504698577113732,28.98760045028702,30.859205789145594,30.48397077041233,31.773929096176236,33.499608719462294],[28.44644125601786,26.170886435590745,25.359006658026345,19.91060745171059,20.762180182105578,23.590729394907047,22.94255214321408,27.284779285001882,26.087445847562304,24.37538551550715,27.154707861962052,31.01441110120838,27.92170645604172,25.103737342620292,29.910176729355623,31.10446261046486,27.255020024693337,29.938714174322058,28.98159538901754,32.04093319913496,33.51017961680674,36.77811868046806,36.10444777142227,33.8368396371465,32.360228555358866,29.048743524864324,28.704800760576127,26.479065088618473,29.741339737612314,31.86865104671426,35.18299068823206,36.38627605930538,40.35217504475726,42.37634463350026,39.51066346451766,36.13068334397292,36.297971372912315,33.61646450638805,32.089124012238656,37.13197097132752,32.59976614630508,33.996962971489324,38.16114155711686,36.371069860168895,36.85918147753257,35.58230246859291,39.44285971231741,39.7225179074529,36.003269345878586,39.80591005580501,42.570864146992314,43.076230258007335,45.10743311524577,40.4943643274924,46.43295176224205,47.43624197462954,43.243692651533955,44.13611966813596,48.61718152957408,46.86146504243565,43.084043977439904,45.573025411377095,44.77779371613194,44.76850480892445,41.84577752313538,39.52581080431455,36.19569667070887,35.06527899211527,31.52014324418625,31.397932626431125,29.45541837570957,31.54351105534525,34.47474727572505,36.24637967727391,37.478181845286656,43.60093108252468,41.83103717830227,45.83256957023572,44.28479854502233,44.31359075080555,43.51269625139919,41.99755930582476,41.619873887928755,40.7919314349041,36.79588994480068,36.84417967264626,37.84325317083833,40.681063514584935,39.06287195298256,43.773676380529885,41.046422407812294,44.073063731022465,41.60936717520117,40.916510200592484,36.615322091979294,37.72976013036993,33.765498160925745,37.13696972347381,35.728362164162974,39.161333622309584,38.26299810454668,38.357777780547615,37.79100325588345,36.6989391299505,37.4517883753357,33.85401906747743,36.890331459084,34.74949264080521,32.01450477652504,33.1280676443102,28.948497227688534,27.12503213965982,24.900752960699343,22.299052584075685,22.342068082192917,19.488606587507643,21.97093453328805,19.34363902141614,23.678413075093562,25.11433956448983,21.967234168754157,21.168795521383878,16.655088246531797,17.35783586275995,18.793756460288183,18.865250505417876,22.859436838329525,23.684136845856283,26.572391254294775,30.150873787868832,28.58814244782999,33.10616143203714,31.584428170551384,33.83968779126559,28.20801547413722,24.881890090394894,22.06448330414686,19.301684503490506,16.375916299654673,19.2644145761675,17.032513524639533,21.543308445343172,22.742395903769538,22.298822361711817,26.023865268933967,27.166754252333867,24.55193951654771,26.61725540960955,27.803845257257166,27.467531112860517,30.666618575365156,31.878374962044546,36.79811027507815,38.16362528806823,37.85055786556693,36.97309024532322,33.61228040515794,33.94034709462545,32.61947728194674,31.703349964556754,28.269265356613243,30.088526539064887,25.475775921939466,30.05026340347347,28.288709511515062,23.443637352686682,27.006771170521816,26.45640586255742,24.763227054066075,21.607266657266997,23.999254989540415,23.063244909934394,27.999760265337798,30.825895183546763,33.08062345079371,35.80986601681503,34.89075502818338,40.141112164757175,37.614480680812115,38.81792077595509,34.92655538345604,33.6646668575253,35.93697334811446,36.868822918890686,33.59763483411196,35.739162795698,34.532977986248895,37.07453058903283,33.25768340563063,35.64910738737617,34.40970032287924,33.27660887237449,32.50938003286569,31.4195301483932,32.89049147915673,33.842663628461985,30.198204218710686,33.09536982817164,31.68571682812166,32.32378412522136,35.537602693159634,35.62681011590552,31.534976495640567,31.80022338508753,35.720074580308,32.8637982080048,28.28153501207844,32.96959003488934,36.52211364995209,30.909600155934314,31.158180073403784,35.01322001836577,33.62001307711014,29.867703537009774,33.11228860696415,31.747470218149747,37.14454074779952,34.30178187792368,35.34143277302084,39.30110768527981,42.84596246532661,46.91170912627962,47.76569828047477,48.78873432211063,46.74412192074464,48.841822527877454,46.254841450169316,49.14646955126973,47.94222089411815,41.874106000685316,43.96983511630541,46.09769968120074,41.89339930919887,39.58317598473387,41.81539962378676,41.11397001453545,37.24692474886945,35.28928121275274,34.569199882424094,37.45965478011977,40.85914614071621,41.62390167882479,43.97853375990357,47.57588075367413,44.90994103375988,40.76149215527675,43.85801209749661,44.96919871394873,40.062355545197086,39.30188256620464,42.418125350592625,40.9401438070034,37.72436625450106,42.18162613584449,43.30692409754079,39.3973700411243,40.026418884008926,43.77253951184195,41.881110214568125,44.228041461955925,42.62660833911966,45.47690913335002,44.34401244052777,38.7331452234959,41.13352822750707,42.227178342161615,39.16712076714286,36.61581053432522,41.77905376805983,40.34979845795487,34.99473247498667,36.22668657629685,40.621198463875274,38.38408880968488,34.347118929753655,30.2124211523946,32.389300757396924,28.54076659253229,31.77867643642334,27.024458238154093,28.372121774886747,25.86501884299988,23.01497881604993,23.399406989048956,24.586206097501943,24.629837702100087,28.292659444748953,25.165747387657028,27.957700840603056,24.55953452059965,26.813890516357368,31.538903165688488,34.54965803864701,35.00134040652825,29.69573011679192,31.38154081716144,34.49694484017799,30.33842678455052,28.07325574979499,32.6159276283865,34.51399427245554,34.14799560139082,35.36372667072762,36.99299517840703],[28.260121114037666,26.182369177006816,25.5163718243671,19.81595474751965,20.636813187079007,22.246158680708568,21.02046877215256,25.0374630904368,23.14130952446078,20.977913144429696,23.36737991795391,27.435618976771824,24.442080030883197,21.139811319813347,25.81119940476995,27.291702578650348,23.578659811756097,26.118949007925494,25.264050138449157,28.687191612461856,30.194718647285725,33.82987532476253,33.162691529289425,31.224743720010302,29.77182129502881,26.08446460025921,25.877120131593465,23.370747286138,26.382243297127214,28.530866558301163,31.204679252565192,32.83149012596912,36.57176245662406,38.548481353442746,35.97600325038533,32.64909210933589,33.19890012475936,30.757133227983704,29.662439925195176,35.15034987344304,30.66874282056087,31.368844998566228,35.71746230642786,34.35377440246711,34.909562727613384,34.093104936785686,37.993532616501234,38.01584165017077,34.68390425285871,38.85757819256231,41.19886162497838,41.818952794571175,43.519042239658994,38.68371323106079,44.354163854301014,45.35114677205729,41.01900265372158,41.529013027034104,46.01550320304806,44.464199180764865,40.319135263089876,42.38399552451996,41.33390526167665,41.28091287911454,38.65364866121785,36.255590855390395,32.51436663720334,31.206298561058244,27.41553056979592,27.052176671184938,25.012475285717265,26.938341060052906,29.985375946505123,32.002580940324876,33.31817719446434,39.51197367521496,38.10719706597923,42.05497080804179,40.82579081579966,41.21085753042571,40.605254359646274,39.57469281333934,39.24102155114416,38.89910584448043,34.95920828445885,34.43223097049177,35.06587476989247,37.67754202895671,35.70197192996484,40.128381847037645,37.13850580031924,39.91088569912164,37.37099120603157,36.739839111772014,32.48332966911915,33.3887919441377,29.48921126765403,33.24835436551952,32.10080441255695,35.866771179994075,35.03007213944131,35.7406500120359,35.158998194432456,34.68830557222169,36.025651476429644,32.643191591955066,36.113323659682,34.50602179364986,31.843912499013417,32.337678406181304,28.057978311913573,25.763723446850427,22.958074158275032,20.353287480700917,19.39922530836569,16.650849091568684,18.719947683624397,16.372168137824264,20.12977885453782,21.26412655270694,17.914637101378876,17.21290763890807,13.072802336258029,14.303302936946189,16.257257982687516,17.42671510235631,21.864092536876424,22.967706489203568,26.307635352665034,29.69529993986561,29.039434114522564,33.55182732650555,32.04162046820321,33.6029350994782,28.251536001641007,24.468782739482293,22.67969978165046,19.127200653529115,15.678762372695205,17.97800768576009,15.739092619093624,20.070593585997134,20.474078814029998,20.18562843729289,23.861352020958872,24.534924122584385,22.051061334824027,23.989658579821775,25.560076135802646,24.971942769809147,28.583744362923138,29.31039312395881,34.41538942061411,35.51800584209778,34.80923358659324,34.08736840688018,30.641085505275058,31.496890565167877,29.85728133169167,29.759997820498228,26.58196059804528,27.829876463559756,23.796921969161176,28.380780227475615,27.50509993374786,23.30381353999579,27.28358450738393,27.405338165227942,26.030746078570917,22.370440234764015,24.418261309580238,22.670230875066082,27.198270460985263,29.596591158164316,31.36159151175083,33.93394097095184,32.4236208293322,37.89474807764731,35.654939184478344,37.205787197343234,33.766643285439194,32.5732848422503,35.42993666332657,36.66826679901832,33.26816176967974,34.9571529576751,33.236757370426794,36.326044752154814,32.6513752838687,35.488770474164475,34.72013814618967,33.38868937682698,33.19081621425844,32.214907233796495,33.833680051144874,35.138688687224864,31.41735353250528,34.27418845906783,33.01236001242786,32.98406806118951,36.52068736871938,36.02567365871851,31.896693435650977,32.889474112892685,36.59047212139038,33.28803137820973,29.371897105940015,34.1798266608354,37.10820252628198,31.452786550383706,32.207743856397926,35.92912693099177,33.952804686964036,30.569415907958433,34.30890957117149,33.301213119383014,38.57317241568667,36.597961348423354,37.196394256861524,40.997194780925895,44.773838723817974,48.790745797050405,49.735828093145635,50.34981160834681,48.23416819723376,50.15084643436583,47.24871088515627,50.4311078735295,49.586521317439626,43.3659725990339,45.279215830608685,47.89283055257776,43.87141983010577,41.271914916843954,43.50388346943262,43.41209232781908,39.558226726081024,37.104590205367764,36.195492910468175,38.34826275405661,41.813203830560035,42.410915702078384,44.33224104895521,47.805942298932486,44.74748886396426,40.93355051722817,44.11108196290888,44.7219656530282,39.72946640760269,39.44751107451945,42.29131528774075,40.536609220694864,37.70156018663548,42.42431117658693,43.22971116484264,39.20768438312379,40.43441399244421,44.30381702112505,42.70610362652851,45.021464947913884,43.310195420900236,46.4914635353653,45.58945123847492,39.90624722887453,42.40694805242485,43.91932125292595,40.9129173323675,38.33758593795293,43.78341880352773,42.71873108384183,37.29033939641616,38.493221742333915,43.19875970949601,41.246360780964984,37.18006147189449,32.90760485823844,35.641447115138504,31.784038768672353,34.60505810236191,29.53337516577398,30.31091919940093,27.176011864693308,25.050471329093508,25.608521489893732,27.334676951455013,27.056012181614005,30.19748284335323,26.31645783153179,28.78712962485172,24.74949869570717,26.891256486111686,31.124380412504117,34.22383099320418,34.05839267412735,28.888272200158095,31.01638761046611,33.62697966091278,28.933210023542514,27.276328023135907,31.971774807280916,33.25524108943362,32.52630127038819,33.4369521681181,34.94308395802014],[24.733657784267315,22.276829666175818,21.07461615508372,15.517603215103813,15.821740609341783,18.147601154178815,17.1263219546761,21.39449610594301,20.260875979568137,18.59950454312251,21.56319467133775,25.277904485011515,22.2628976664118,19.724169087853426,24.687542205650953,25.77161831310473,22.16298798226263,25.34541443271979,25.214629365740496,28.060348631365706,30.132105776094395,33.5420210964281,33.36613600214422,31.563272244252392,29.50554855673511,25.911205395558238,24.908292658340397,22.145820184246553,24.974377885293976,26.640622763197733,30.218358122504778,30.972381410382376,34.98583232204198,37.30821696202489,34.425283615010606,31.315685889800744,31.16365345068706,29.104362990192723,27.804491283422262,33.13893448053408,29.242891044580883,30.407069298618634,34.68416911455933,33.348926226238966,34.42076244560547,33.61882379662474,37.52623714835107,37.133078819856564,33.51680014943763,37.51145218687287,39.73894517122255,39.96229806698258,41.7538511626272,36.906832575612086,42.550465970339026,44.007215378260845,39.898770819776765,40.24740425071624,44.90400362843086,43.71142926609055,39.75622008368352,42.00217925734505,40.85362381750966,41.4121998349963,38.59820941334237,35.79112131137162,32.68338803954581,31.00336993272108,27.818535999815577,27.21581432434194,25.6969081431623,28.18688839191951,30.633286957835026,32.720263036014984,33.31106688952835,39.55241788503193,37.67862573007079,41.41791275951027,39.84439649479015,40.07581569925066,38.898467943698435,37.59030850678097,36.745689396056164,36.227027093339444,32.42217257919032,32.13730812277469,33.41131791415076,35.79143251456417,34.5411811282724,38.97449059449452,36.406729600023844,39.60862740046671,36.92678420674715,35.914665254732796,31.47487482598422,32.67078667251504,28.599864951911023,31.639012367836564,30.026996127662905,33.29776120550151,32.51803786055323,32.497026904110626,32.15422364217202,31.034270731322472,32.19699261116621,28.510235152412665,31.738543961914374,29.95009950001885,27.120605327133227,27.82996505492104,23.527546531519857,21.5979160562891,19.075424809489316,16.674237403226705,16.747303868050757,14.267854998456214,17.26467338817093,15.430222777160157,20.299962436557045,20.8309464227325,17.701614144450467,16.253792607892468,11.725761671404417,11.75776197376736,12.876773433671655,13.304436765292596,17.33359135887231,18.44835344622561,21.648055604300385,25.3014897074328,24.390490238923604,28.97599960099605,27.763622917538374,29.422307876016166,24.100899861177577,20.314990474555557,18.115977928026098,14.992588886785429,12.009706269558789,15.012515495806682,14.132187778617867,19.07157168886424,19.39132151553885,18.28034317611472,22.039894727722984,22.450325805795366,19.601151037396395,21.1814174912492,22.184380131272228,21.592632541938674,24.802221417555746,25.94875908780482,30.884588415446647,32.34031596771397,31.96855681608765,31.04327855827104,27.720794962724675,28.07089470466708,26.888979597192755,26.109848576077738,23.10092282235013,25.109493989510696,21.034280945312855,25.790180908601943,24.662404694354763,20.481035042375705,24.015416629312753,24.400070094817547,22.465086520902425,18.859460375411707,20.62475266243725,19.100371059470735,23.810336184447465,26.263933113597595,28.22433278774887,30.636662028912266,29.552861483017058,34.88680399185243,32.74788238738768,33.94608730761858,30.52779520850999,28.7886243358125,31.672544638341215,33.04896059798379,29.81400496203366,32.13185548329354,30.88281589409332,34.02382228549447,30.82806642995802,33.11918684872268,32.072913036403214,30.373251930998578,29.75145084651631,28.398663939065145,29.74122087902397,30.801064298420226,26.850790390677822,29.53803980470467,28.12146424998681,28.071412118406716,31.545171381240003,31.096595486089853,26.966262221022813,27.914390667842316,31.64785972903811,28.431341771789384,24.50506076330116,29.349808780648456,32.35992882572801,26.84206513609531,27.655489302523748,31.439778541515015,29.620022100899476,26.388998563355894,30.151291690518523,28.970324164096674,34.23217649820415,32.19161840502027,32.560028673085846,36.376393016331406,40.05587997540081,44.14517588549464,44.9575620188721,45.47150303230638,43.298508169389336,45.18195037640484,42.27525179052525,45.47041800589655,44.6419731401117,38.40634700843576,40.337849134810746,43.01397332619799,39.008077460967314,36.39249471257729,38.720749563129935,38.71083001939156,34.81984082435622,32.397052847652006,31.296732383571207,33.48343180082177,36.911350623813654,37.45318254290157,39.44163430048678,42.928405128786274,39.96808001552157,36.06149386586685,39.23734620541077,39.97989647559342,35.00173025031026,34.62679875674611,37.61328591674621,35.988682778707435,33.07171674257159,37.75882918255772,38.7388753148427,34.87076712029912,35.93667334575431,39.75440601241121,38.03444067751796,40.2274953573701,38.429185186657634,41.56552712730226,40.758258369748255,35.05187884507313,37.46023232245592,39.04500192033633,36.09355557350039,33.42701108075108,38.912241785139486,38.00151067028074,32.54624425143213,33.69099994829774,38.50454903571643,36.71168622668344,32.64284672169876,28.37720904595856,31.428430008173496,27.701623532894182,30.414215251610166,25.285920026649563,25.720763754616428,22.633915249623072,20.731671224819873,21.056867341541533,22.897090324796878,22.374759388414585,25.32540223131809,21.335766333779382,23.827703046765482,19.839986646281737,22.045670241600472,26.397439288333445,29.508720287916102,29.583541183575427,24.356192472339327,26.462528943965935,29.31573592702214,24.82021045258818,23.09383899501864,27.83269906642475,29.408433881695256,28.959248076298493,30.037931631423415,31.60733845165815],[28.53411594605978,25.76713876151975,23.948751599933388,18.827040531286734,17.98965526488707,21.5606568171168,20.306358218188166,24.43982991690102,23.888565753001703,21.824070376320947,24.887328675263944,28.494635879657867,24.711237953317806,22.601681566933884,27.237438506597933,27.878527272307295,23.74823494118994,26.45227773597373,25.543135369483352,28.03670745067428,29.691774159866345,32.60973258901045,32.23082080383568,29.95834208300021,28.090623672363265,25.021865222078844,24.270665608690663,22.237549331439048,25.687056119042452,27.878938299893253,31.902530991075896,32.70844679935243,36.913169127562604,38.78894155412326,35.57003259178734,32.1135805731355,31.95637024989599,29.0122531112878,27.183067694712527,31.942693078558932,27.56925887189971,29.396435227510565,33.42423573135572,31.516265189703073,32.272482499681544,30.968335150565203,34.83136166034418,34.870376923508644,30.973231133784658,34.679601535452626,37.398606485877416,37.73342769480685,39.83963553064095,35.28329487828475,41.285470454788125,42.42375022660391,38.37062138623775,39.35613731521399,43.87169952170876,42.195822010430874,38.658270533097266,41.43555806524949,40.776222578699674,41.077952020626455,37.89142126093601,35.43937235696961,32.73074939489674,31.62900066939955,28.637641630413686,28.806515997040407,27.21913904145761,29.851553473818658,32.22831251396896,33.62886525553939,34.44668210976302,40.43496997601925,38.11472988255302,42.09671561926274,40.17024310906777,39.87037919688012,38.85849506936626,37.00351790369622,36.638669448972166,35.53130958556339,31.51456388212409,31.88900270723202,33.133106577824556,36.14423242400383,34.87633043523308,39.86718351332717,37.51646589968404,40.92795689022275,38.639949413081425,37.944033306077806,33.72496207083305,35.337499599492425,31.48240531860828,34.180862072249674,32.734873880844354,36.163157466535814,34.60369044091929,34.492255175509136,33.46469191282469,32.28178079920663,32.50112955615932,29.14215561780892,32.1742458444849,29.972383610939634,27.6391220267782,28.816639213586782,24.985912625881923,22.744715451998744,21.128216623385924,18.012074543350895,18.550694624476865,15.417429079107272,18.019567988562294,15.261863293468027,20.300324951209834,21.81504924349649,19.102655797404438,18.30783079561523,13.548648124789176,14.048714228704577,15.694067426320537,14.644319493108974,19.277128701300793,19.28332286483585,22.072086378819655,25.222995419608278,23.76457470772399,28.156999992580904,26.318555736951303,28.56264973419905,22.867293856021135,19.67521246857271,17.142583576047663,14.049286288293583,11.086986309035602,13.961567778619122,11.939288672701364,16.685885184972893,18.076012086745614,17.357006005855443,21.055683982193337,22.489089254484828,19.89081335866048,22.25557153394275,23.43503894003219,23.76980141134277,26.989388251663204,28.885138173494788,33.613419809794344,35.75599227010498,35.217813817078024,33.76061654608511,30.217595530691668,30.1116374666478,28.584870969657967,27.199221353138793,23.297631078666935,25.18301765445488,20.234363457716,24.73935181340511,22.7138012246165,17.821359541638007,21.38739590469595,21.003297737786443,19.409404557131737,16.075786969980783,18.478867269958045,17.525526439925933,22.48683369992743,25.443472164672322,27.88539553316708,30.801112575110814,30.21650087296566,35.26759800116499,32.46565294295152,33.57106122509884,29.464764161101424,28.436857115008852,30.451533221032072,31.287482244699305,27.99242748739939,30.145370006599087,29.084789561983474,31.56230571619765,27.90500401566882,30.134773976880556,28.89270490709774,27.661233382471888,26.97683397761511,25.973343738671463,27.59068604769763,28.822914113317147,25.381534352550503,28.524186323890316,27.611325268937705,28.196293954203437,31.84053429083082,32.01256861894093,27.94483025682267,28.645854542033902,32.74638417009824,30.11529313056392,25.904564231534252,30.72693810224085,34.30758559538743,29.17872696317074,29.77720716185082,33.71733236297351,32.44171921854178,29.20821596632627,32.633499981446924,30.970869394467023,36.292311763272764,33.23567200932508,33.73860355623992,37.754384289053085,40.91713507925817,45.27223797150951,45.612371118086266,46.240836390929275,43.827739949026,45.57608236313863,42.678431191312356,45.41278460574019,44.570613966384606,38.43256387107049,40.092418851083714,42.32808120665391,38.375600158235585,35.73565935383656,37.632717297973485,37.408864680783346,33.75033654471879,31.05353200349662,30.767761840405655,33.121659622953096,36.65336167137761,37.82184351630639,39.98163343512943,43.850575611927276,40.99453703282145,36.935803593426954,40.53593124407969,41.608515745159714,36.68093249657508,36.30498565649275,39.73578987242935,38.435264748089736,35.41661585898627,39.94450676828968,41.331797105464176,37.78082346593592,38.42532635507867,42.076065865059874,39.99848308588923,41.89317119559078,39.83727097640476,42.600602917176495,42.027813292449665,36.33919134687442,38.197579617295894,39.67775836301311,36.897568793852635,33.79800298241742,38.90522802405108,38.09281412034354,32.67809685366983,33.262509715380894,37.94802768247403,36.271225894892595,32.24483965028888,28.388337192073344,30.974828720503673,27.611526187620473,30.978437222953374,26.27046460377236,26.91466355482454,24.61963873870749,22.27098886107727,21.910473421112513,22.960720776299066,22.161832792627166,25.499224396902022,21.970956229173872,24.10389631685281,20.751973754749855,23.833001035449147,28.137108536352322,31.456455310474965,31.838507144458752,26.75207076170436,29.063065102009485,32.26038220072709,27.93331616049851,26.43256918551065,31.15879797856453,33.037378212842384,32.84321011297086,33.962579424434125,35.44423054042382],[31.45841648580786,28.887501105301908,27.257147175076806,21.923781948927697,21.091595594770162,23.801970736054205,21.96353443823705,25.754207791817734,24.553076000518036,21.775775133197286,24.37200174974462,28.258646545520477,24.220880832599907,21.58422571342277,25.863520556078974,26.702241733986543,22.36962529554359,24.448726415742648,22.8758094511024,25.79472115684074,26.995337879166637,30.102749611836174,29.362766027431555,27.034883252837226,25.596958743238293,22.40661392664226,22.31220658324691,20.51581780599117,24.169792532347493,26.864453600103822,30.174404760727366,31.7476178035445,35.74626505182338,37.2272209328535,34.2260413919766,30.534473850680605,31.027659688572466,27.679068605405174,26.072327308391838,31.041451711353655,26.158011286208392,27.460484320973723,31.582887165910332,29.738333158746762,30.105424001463543,28.933317478440248,32.811337464106025,33.08363805374863,29.549087350374503,33.52253344985447,36.17952121224052,36.8868492895271,38.80923714266225,34.205940542182766,40.174569051165165,40.921361603138344,36.64996995194584,37.7073214512247,42.082431771528825,40.14965245240506,36.39883015628322,39.00280932431528,38.42323643515466,38.25825659386797,35.20602812761328,33.063920913515524,29.89025685806406,29.112761193642438,25.723668716066687,26.212201915363504,24.282478681521415,26.630175139825333,29.318652013801167,30.521736201655184,31.862513625179236,37.772824862952056,35.74945886142701,39.919816432513365,38.2459133129614,38.06307039916553,37.57247133880556,36.00630199461174,36.14862843985066,35.276177484671614,31.14671163886546,31.201219242385797,31.800139945452393,35.037862789020785,33.10534446566808,38.14098459702588,35.47235234354662,38.589221362620755,36.49082229699105,36.166147363743676,32.156934107268484,33.67786589554118,30.039549223353596,33.203313087617445,32.23277024327065,36.214616475825935,34.354968410358914,35.02926576962491,33.60550920438056,33.20208235556951,33.62525251950451,30.706408726329563,34.13240171817315,32.30460342385534,30.27186013635718,31.009793791113534,27.254877803100268,24.373040613368513,22.43981456907601,18.974564855110895,18.384973606006316,14.914038999394824,16.56816395192415,13.289475709429261,17.435577223592656,19.53278492413496,16.757138113313427,16.690318882522416,12.228079980006399,13.870890314610314,16.490363682760208,16.213852767481672,21.566716118246504,21.505541105606884,24.595138139270418,27.294097508913215,26.529030509919757,30.776458646194317,28.602087970995417,30.416767517852637,24.85764783481116,21.521906309988264,19.995135124995915,16.092622655831182,12.470371234685791,14.285070874137396,10.901148968659909,15.017388274789967,16.276471745900864,16.355571624848366,19.955374759699854,21.596288088691526,19.392104123753455,22.16313348410412,24.0072540091432,24.4794553478533,28.22805942087416,29.832156439969584,34.729122903224024,36.77427718825944,35.72669475681958,34.27041235186989,30.504625554182088,30.868220652951933,28.738592658481558,28.101590755916696,23.992982817810535,24.961074086117506,20.168215741301996,24.478986551280023,22.98650125326715,18.432391270749466,22.587831561847498,22.32865893621137,21.521403571306365,17.927222105900785,20.350772964154956,18.778532640973356,23.31329348298047,26.054617366487783,28.168044295398836,31.238423148328742,30.15494598263381,35.34856189574498,32.45389477305237,33.987582809173006,29.97530984777979,29.57256259636681,31.718947061799753,32.51891744362074,29.02148413703878,30.363491940277296,28.686567417652363,31.31066398594874,27.29221722376816,30.191500152875882,29.436910834968042,28.456744102004606,28.478892813741297,27.933944964493747,29.902492576993332,31.589536025950416,28.421553087462154,31.724574921917092,31.151414765939517,31.432053179479727,35.36927913003891,35.27254073444521,31.202659146138984,32.37203795014,36.391724515947274,33.55955192524241,29.732884610546442,34.614710068123415,37.88432121706484,32.73723268768364,33.58986865288604,37.464695803837856,35.862572987764686,32.78115897189886,36.44067161616654,34.96846623907195,40.25643352147309,37.52776220538087,37.90241409862236,41.860463827750934,45.09346801852514,49.42493317742353,49.77766630169958,50.227215038597116,47.72756802802023,49.323948563715284,46.216146985627184,49.0006810940734,48.401419093707915,42.21364805808786,43.64851498734755,46.05082030398068,42.254636557461396,39.4307355042778,41.136241790693255,41.234918200684696,37.697588445869776,34.58297263090712,34.49393790054234,36.33150216479873,39.942732024495555,41.205257403630355,43.06628250541398,46.95408495575567,43.79941349199039,39.98743499101466,43.76937979996651,44.52130816166187,39.536427069223244,39.54491711976767,42.8489272888357,41.384211855552884,38.63087255490666,43.3253890943915,44.52906929368825,40.90673553905348,41.91563377282188,45.638030110945266,43.712727721963894,45.567296698506176,43.40611014996674,46.313835551561205,45.916171790469576,40.19343138060389,42.019998265001234,43.716913459672085,40.99097955780243,37.81617772630243,42.9808959204665,42.359454455776444,36.93067292381669,37.387415856341015,42.169510391420445,40.62636204472567,36.60821194736598,32.769091896468375,35.419655334896376,32.05942401829988,35.37633026298552,30.58606563530567,31.102231565734108,28.534719474590794,26.42221592400997,26.181040439043777,27.363375595664557,26.45366005434837,29.605780322803756,25.7450557056611,27.550787450240026,23.874478179290886,27.049441928535643,30.93880914892038,34.37742703972305,34.29164833123982,29.35204434162727,32.04848742047569,34.8900333212706,30.119009094771446,29.118233472447223,33.962528248642215,35.382981386802584,34.86516037284378,35.68651837731483,37.00804529077315],[27.37869463934696,24.916627338421232,23.367470918948182,17.974435042125585,17.223567078044972,18.842828243943824,16.735761481069503,20.41497275564697,18.903958625423996,16.212128052193165,18.866685500860157,22.754865023414887,19.101390981128237,16.369803526213644,20.991993360569566,22.009725324690244,18.080089337800427,20.8683509781047,20.43566593412153,23.41675305631039,25.377575380784254,28.90043309008107,28.684870013882364,27.019960199216747,24.990840473163665,21.252428136393718,20.43412344083021,17.711317307170717,20.686128306496563,22.753232484333402,26.035989674826478,27.266453278511527,31.221783372505556,33.19039721107276,30.348382687386003,27.035983710551786,27.29233676613405,24.92019906946124,23.794132349742725,29.34783444548789,25.256519568969157,25.998929514329703,30.365323075510478,29.210586514842202,30.233959008293162,29.712363265023296,33.62817170850135,33.12809201672761,29.814382929739796,34.06154328121104,36.038877451041756,36.447819821529265,38.02664547279862,33.08311515199323,38.629351176407084,39.91780849319649,35.688274220946965,35.95777446195079,40.56154244901352,39.34241822580192,35.22108981292515,37.33459709804238,36.191270553523694,36.62372897553227,33.87091647183577,31.122946290000495,27.87953492501776,26.302745806833283,23.06001035533481,22.693926998728294,21.12581309753406,23.729262567109853,26.09870630073294,27.976695881185307,28.68277015733711,34.87216511790164,33.02257307627777,36.8664415796934,35.36868751370138,35.649169655091,34.76258231892961,33.658834980212276,33.162334022884586,32.85217910909075,28.974983815771058,28.398649348994372,29.240899825553065,31.77427409651518,30.12898167088873,34.65586165026892,31.966074001966014,35.11424289627731,32.60467492966963,31.85440554512352,27.58291590656412,28.943859057085362,25.080023094362915,28.22300905837149,27.02500427549621,30.857156539111926,29.476384693353058,30.15167818543197,29.239667718295497,28.876574887192145,30.11402192428202,26.9660070337505,30.638731191848848,29.28902747391049,26.956497009827032,27.148509026754827,23.103984843398266,20.24373800503397,17.612438873417744,14.577206055421414,13.58187204218686,10.626192948825029,12.94807146612362,10.8830607317581,15.484847517345102,16.19422660817403,13.103124667050201,12.105699469595615,7.5386295938019385,8.663440454045451,11.144001544080755,11.992222592722825,17.19364371967838,17.833288463746015,21.343694593635945,24.306709040105602,24.302575593878018,28.669121808112124,27.056352871803018,28.13996819585234,23.01810656002697,19.044108758947072,18.1862273684085,14.012560327261522,10.307079069343056,12.20931145258104,10.773581482892709,15.36054605012317,15.170865875368309,14.400153753235491,18.096870916653675,18.528894793971777,15.960781988223388,17.963663528189773,19.64713939172506,19.468974701408683,23.2906776609835,24.45057255943552,29.47086042730231,31.227442690649205,30.185186794345796,28.962184160365805,25.30757512728354,25.9604897464854,24.0617731907754,23.89601489974944,20.557640963045387,21.716752510995416,17.822181460139333,22.449455118400348,21.955775356578886,18.31882505853257,22.36375801551907,23.195878982346294,21.95580469931084,17.956541946468864,19.55672158822598,17.255209922420505,21.475793223713648,23.6571483546996,25.28253375502636,27.846711693923307,26.344896557312694,31.792231244357883,29.54881839591682,31.133029983694133,27.84816895852093,26.689213074266117,29.759665552856553,31.179768258587227,27.75534760217645,29.36082053585502,27.578556710376652,31.024655391154887,27.778758947358554,30.56654470701435,30.014645496469512,28.344655634978043,28.44777065408048,27.49416926335682,29.192392117806225,30.823113585220074,27.188656836042767,30.089137226186857,29.24979348787913,28.756426829286255,32.746553500291554,31.984116352649725,27.900503294452843,29.63596240519044,33.3073410565382,29.986902252723823,26.795749957694106,31.70694800933149,34.30728210930672,29.11328099318017,30.414792212319433,34.10685874212674,31.992551866219536,29.30297292258938,33.37404087288953,32.26957400443108,37.372911934935715,35.65306725740111,35.562124650649984,39.29173527619664,42.84044014611037,47.013580868882926,47.58729795509577,47.67158290508054,45.23719698496004,46.7661268176989,43.472580817106845,46.67976049569786,46.31736363479051,40.009488791551476,41.481444599196514,44.44655923712067,40.75608857199593,37.77813900199555,39.77258994966878,40.3992744112634,36.73520250959458,33.51738068998566,32.75577966939051,34.051027826012614,37.60522027388363,38.38727255842429,39.91248725699219,43.50992896972658,40.12063032703275,36.5690239691932,40.16377483072882,40.4963580030498,35.46729365063906,35.74267749246961,38.70858633480903,36.99303459296755,34.52282695843559,39.40237267531247,40.29418066987901,36.57651873560824,38.069939250271666,41.884347071012186,40.26570823689491,42.15889992862478,40.021449388531856,43.28048954120365,42.965871779100056,37.22440967048589,39.319540820615465,41.35868609577167,38.63243811821922,35.637448749107236,41.15261338578421,40.78942930401534,35.325740211018775,36.01826211324983,41.08118335856095,39.74231819831669,35.71127385437658,31.62425377942345,34.97932737710579,31.531721269766955,34.19162745166442,29.050664668360717,28.93160418678589,25.700036168984617,24.4096084024627,24.45281902547301,26.35166993417299,25.267402617618426,27.756185374332286,23.201129409550127,24.932318622295092,20.60223303152977,23.30202614909277,26.861885693752114,30.23861300924261,29.716709370088246,24.8355887787475,27.7205435611348,30.15427439822625,25.0961026040982,24.44608999932221,29.341559151945077,30.343074078721475,29.625946012433097,30.29306970709511,31.576629274483835],[27.975195505254806,24.998209008857557,22.501373558279994,17.758687926779587,15.44909451550639,18.808807136887847,16.73022534533487,20.398918262481967,20.201634351762838,17.75095338299588,20.91939913361019,24.246631275555973,19.98101202804872,18.513764873539106,22.913787187949776,23.12031383475851,18.92600118562814,21.7979385441352,21.348331650842805,23.370181971824195,25.461120368233786,28.283120849726192,28.35966816011705,26.429530742537573,24.00810964340577,20.892565018870314,19.516185667721967,17.288373420886224,20.61318723241431,22.662059016254712,27.168562929128292,27.59753846412764,31.926245711998114,33.79105806406014,30.389448948147578,27.006847914918282,26.572102364523598,23.763055873883506,21.930832853567644,26.796627703109433,22.862409839070946,24.674572734905297,28.718981108281458,27.090966753996607,28.356244219879645,27.426219172118525,31.310926344742274,30.76567595291492,26.920789149973675,30.782578522746494,33.0562951027827,33.17598413526457,35.10772764160573,30.394033805274585,36.225409132855646,37.6715261212921,33.710584736733985,34.381156015585226,39.0087721442686,37.71206745021021,34.145826645750326,36.88185507791923,36.08302162123963,36.84468648928318,33.62189595797556,30.831036178915998,28.573262453700462,27.200928633212126,24.76031577380422,24.877054066377536,23.75224186001275,26.856530133266222,28.610605894785213,29.919546443608205,30.171425546750523,36.091240841088975,33.44588122914258,37.27432326687641,35.15957709878134,34.81947883785573,33.54481094249655,31.684756508799428,31.13378578774552,30.118453450646403,26.16249472006902,26.43573823301174,27.883185352215996,30.759971277532685,29.805798385158823,34.79732406107211,32.72070080838147,36.401063495745056,34.14123745359614,33.33508757585755,29.167589173193274,31.12025148288474,27.377341255545748,29.501635827295914,28.04248256641149,31.490226958933373,29.477242195764738,29.369240310686347,28.049188727429133,27.009641154640995,27.19002431799535,24.067429358499695,27.360530165245265,25.481598194755943,23.479095887233846,24.27534852182509,20.677157270337357,17.817400605694633,16.426688545437095,12.867820454453604,13.538884814878388,10.31282003568463,13.135178602116603,10.795701972767736,16.49536791099008,17.51883849206995,15.230955013627325,14.216355268840514,9.56590333153137,9.685019632236271,11.577797895510653,9.871064714672121,15.327613650988242,14.778915545860576,17.79463623084059,20.494296426294817,19.838337422950378,24.120540555881963,22.17981567364117,23.832268197935235,18.34335025067346,14.814799010039042,13.424543028454814,9.361231579820139,5.832592325123006,8.546291697273618,7.708399351879995,12.83889723178098,13.558876300084451,12.220696396877765,15.943547437515768,17.10904007527766,14.42665733174681,16.844429650809083,18.099748616868595,18.870533929860255,22.25154480646992,24.509796941803646,29.107454844365243,31.77656934201142,30.91669340992811,29.047341950342098,25.360560587242613,25.087719340171088,23.322294054122604,21.891721647186024,17.817991247998478,19.64035350921146,14.79829916162504,19.413109780082976,17.83433712543482,13.543326819401132,17.294374476388963,17.87038810904476,16.419761347944267,12.506699390918511,14.353658419468012,12.622375745518934,17.360004731454648,20.09818179681616,22.389844990044775,25.287138503179595,24.682366528632645,29.719013384894815,26.954186853932686,28.121045072908508,24.20222260601553,23.170586455040137,25.511925653746108,26.610446749707677,23.244745629835133,25.31492961766794,24.140352681218257,27.091652050532176,23.92140535450496,26.149105702183718,25.19244041489531,23.525208599302445,23.22785071887699,22.221716364073846,23.945389059411674,25.578931915114755,22.16999284945814,25.343527059677207,24.871331666790766,24.84336117297652,28.98958306936539,28.775948180895956,24.75711532656662,26.321943714873342,30.31476123603212,27.58390727172584,24.238368025079225,29.126068106444414,32.227112633735004,27.5521293582508,28.743252321396934,32.57388285556074,31.050742023124144,28.536709984488752,32.32248288521779,30.70528638747979,35.780756046739,33.238986059708424,33.01778781370639,36.8861821940935,39.902425528657986,44.36341417955035,44.409965302128825,44.45760178983499,41.762334483542666,43.12167122909166,39.80345241166106,42.63996968727483,42.31946939163448,36.0766093063766,37.294677116949195,39.98335135391897,36.3861392714644,33.3302892556857,35.0215581747337,35.62799324352022,32.15332852229607,28.62260105775792,28.406861605947693,29.762927061604746,33.395076773052125,34.68192334474589,36.377815084275895,40.32330165981603,37.08694345940031,33.34158853365209,37.328002775269724,38.03992054345436,33.07760712958916,33.306078368691445,36.76874060195565,35.45199036884842,32.8560479679643,37.54896499231726,38.92838794434825,35.63920464293443,36.645159716122706,40.253210138495625,38.24780247526837,39.76086882445075,37.31704479168964,40.222551447300354,40.22091075627737,34.49703501907328,36.01619666656406,38.066360499345016,35.56161840063885,32.111856699676515,37.33505309710997,37.244909303348074,31.825614941590015,31.951646880380572,37.01573500650723,35.97201691989985,32.009390043012054,28.314231918811252,31.58872713656717,28.620360728592814,31.634186066421773,26.843948984897917,26.533408986094837,24.022693287831906,22.658303349462987,21.917867421970314,23.273797325968786,21.669180176410485,24.184136311528867,19.85997697710205,21.16272940718685,17.41445163277483,21.021659602986755,24.55871057425241,28.136323139818728,28.083306078259593,23.333098943956482,26.39202166889173,29.306445405761373,24.62563588429184,24.15212868144085,29.000699008152484,30.500781782985687,30.27071227769266,31.132042777252945,32.39879768241759],[32.18084504836994,29.19621421738056,26.73468654651357,22.01168366279132,19.796769231144154,23.56363256299068,21.540653146942894,25.130182806787325,24.876294786110158,22.120942422969517,25.057866934727546,28.495559373177475,23.89787491075773,22.268782327442313,26.31218358654958,26.45807682986242,21.921796053391546,24.024310137707925,22.500350320499578,24.53433399421333,25.880044088428612,28.35173790215945,27.92693826753025,25.442608568500404,23.588824477761417,20.972600388788486,20.363004922679224,19.02327416077475,22.917695937118115,25.608120619396832,29.884183620956637,30.812442334483325,35.092876367154695,36.43948153814449,32.98004367216714,29.24329470933597,29.195443371589317,25.474422729554522,23.30930757457119,27.64786741638512,22.91378292429614,25.09677359759957,28.91719254765816,26.707310124456786,27.329468366737554,25.85623752435975,29.710302572935394,29.85840546448808,25.891066954862296,29.545887977619195,32.40382534802866,32.87714794869268,35.06399459185545,30.668431175571815,36.82652164685887,37.70287662089283,33.68445862324773,35.05024840789409,39.42811368299118,37.47527071398223,34.20656516729579,37.32711944803535,37.02741874427224,37.2083081113568,33.755751480303594,31.542468498873816,29.287769908327135,28.64520950664735,26.031791749801528,26.89838890775064,25.43075465459482,28.30010477673687,30.334236890301753,31.048432565045413,31.896642732291784,37.54922006479744,34.81450744005949,38.94057939893648,36.73585079658702,36.02490226273339,35.221885980786226,33.04477969354133,33.19755488324041,31.764480560264523,27.596248546977577,28.333741723027046,29.374054195811123,32.89229696097116,31.531043395597827,36.93707814157886,34.81605206496056,38.400579038055,36.529331966465435,36.16255789539115,32.27011887437101,34.3260255479537,30.81995060647479,33.09867577904575,31.973415188190028,35.70750541700341,33.226459092513515,33.38156823695758,31.523021273701712,30.727137220629366,30.27730538104733,27.570862208124904,30.714130136815086,28.583283743605325,27.003473729273015,28.097779210974554,24.855932632715156,21.8451570742456,20.909611039625826,17.05941843162942,17.486848077457488,13.873881556723784,15.697944282964905,12.301516646437731,17.268956402902603,19.506228977326547,17.43934205114563,17.319961727639914,12.850500252376799,13.890386095029298,16.26035603894473,14.36157569232994,19.855642661507865,18.777699426704338,21.404661993606414,23.611172585456934,22.526947110712754,26.52680151401194,23.980457908645153,26.12735524070246,20.431013244318923,17.61471165251068,16.033684390362072,12.26855032044617,9.078599900624976,10.823473389927203,7.520436487062697,11.822838939636306,13.883797282065668,13.60577798228317,17.07883753920822,19.339611334206925,17.191796749921835,20.307960319943128,21.911157686277306,23.198607685117366,26.654286470888987,29.101855819866923,33.621167951832405,36.46570222268311,35.432622885856446,33.39300897194562,29.575385009636463,29.250579336240648,27.115335944559114,25.602362453949244,20.91931026264579,22.19253196054181,16.75821344082503,20.871179033881436,18.55213016050327,13.549778560357764,17.52680609521323,17.03295594173707,16.323788104837348,12.843996519900564,15.506145537968392,14.381474193631066,19.0615073059405,22.169247985664878,24.734777159232348,28.07155579346478,27.670663152569468,32.461804029486785,29.137675704028453,30.377569636690772,25.899641490716796,25.7870228363119,27.278165628070465,27.770604380108043,24.324422672403507,25.861612149976526,24.6259608330607,26.833716402034916,22.873520819541717,25.361582501348263,24.349992085730413,23.434117701725924,23.283281097043304,22.842121799070263,24.925079318500593,26.756947971074524,23.95616039276406,27.503453405845267,27.417716112993876,27.980876888878512,32.10964845805415,32.38976889474434,28.459474553335895,29.6685066947655,33.87268484960663,31.533349659517572,27.84169280283899,32.6493518163434,36.17080550462031,31.591731557073235,32.48924707071794,36.41175323950197,35.21466623453902,32.464580789956926,35.969705876454476,34.116557595436234,39.28761685720304,36.02144345151576,36.127852351971974,40.137350212986824,42.86653222007348,47.441791622103274,47.26888733912784,47.54754108227066,44.77294441824013,46.111656775090424,42.899393669182864,45.35457090441512,44.93005342833534,38.82800380049308,39.90587863487196,42.13792852160694,38.5433759348969,35.57816015520577,36.910330220655446,37.17678830657171,33.905845184297306,30.333128559048227,30.814558600193806,32.43924097081978,36.09956286031485,37.83842063119912,39.69913104596298,43.869572267179066,40.761366381224576,36.92272960332172,41.09719501879954,42.047913028807876,37.15837920321889,37.29656238810218,40.969446934288406,39.821641388234255,37.109537891589916,41.66206258238184,43.23529595139052,40.032136978939306,40.75620592916009,44.28232219997435,42.08069549371244,43.51939970406316,41.02708023894597,43.65115478839876,43.66115785990318,37.99154261335511,39.234399584910065,41.059549772248886,38.609936622198745,34.99490215075984,39.87329631972434,39.65799618050626,34.31505615682523,34.15730483382526,38.972339083997255,37.842204642814195,33.92828603413892,30.512148517454538,33.18663697375758,30.358503294799903,33.89570280136048,29.428180747920898,29.589592542753124,27.584443106333183,25.64509760469763,24.694894271305806,25.442849644965012,23.948942580517134,26.93035691595508,23.200525171844085,24.41900064370199,21.25357894251987,25.16581907334787,28.764865486295303,32.37265144370884,32.515589335899136,27.842885150933427,30.826221232368127,33.911654536615515,29.359161405699975,28.770307414179175,33.567721323425005,35.22590292755773,35.045239175444365,35.92334705569232,37.166255713515795],[35.921410998230314,32.98915497553983,30.50482700515995,25.78747075169487,23.37049572863606,26.77524862178107,24.349930642357826,27.558937703444663,27.063667002897827,23.774293896914532,26.334525564982197,29.813728822989944,24.86370674626185,23.133357687390024,26.628634539487994,26.691506756546723,21.94196426400371,23.256446619873532,20.89597721108441,22.936216238319513,23.678125013596336,25.95115421999134,25.16704553745332,22.416777545353284,21.016193491132785,18.706718288245614,18.783610709997223,18.13961052297923,22.335306165146267,25.566159362171046,29.417539066870994,30.895451846025242,35.01815052156548,35.84270898880166,32.440263677254926,28.44479242309928,28.888741589658167,24.50270644993373,22.303596113654727,26.39225148147023,21.068168786800808,23.13894028294536,26.817102750314163,24.392509174138905,24.59309720217805,23.00163513629218,26.84982848076611,27.318650026327177,23.505509219092847,27.265743527318076,30.27122345404392,31.078474782604488,33.23987400912443,29.002757316587317,35.22216367119407,35.6100705105228,31.481140107386114,33.211707880935236,37.367856522535156,35.00433740193712,31.8116970160148,35.05021511915986,35.06198075038757,34.793106169307535,31.27075910578189,29.493046040675853,27.18408608093169,27.10398243191834,24.43940901572703,25.9056189130237,24.260859473971813,26.96931828342049,29.059288828459547,29.247027010667498,30.518123380383216,35.87841526756661,33.1479891733919,37.466545984634486,35.29121066865011,34.40411070222903,34.09403653016101,31.91149628544352,32.7237088836573,31.236669474837107,26.94314465996299,27.72242819609557,28.202927107167643,32.14253862148215,30.298279879558645,35.919036096842525,33.72318108481278,37.15737249888017,35.64507744518519,35.69428820619695,32.13682522404193,34.29477941355077,31.117475041653194,33.49284378781495,32.802965008194505,36.92512009630438,33.93651651127921,34.64076579879389,32.22327192159853,32.03549258592408,31.36627175288038,29.231913243916985,32.52865352952409,30.612975612637882,29.516177140292434,30.388234498627515,27.469529372928736,23.96845139726263,23.152777248666435,19.012541668831467,18.754540180677093,14.952421772344433,15.669584923984033,11.722396989788265,15.641727720258986,18.71837982219539,17.017305776549275,17.71739873428172,13.827852201668215,15.658528486920764,18.63257936368682,16.970522864414555,22.831264604289796,21.409560052873722,23.997113550259034,25.55200052295054,24.89503621709213,28.542329432408923,25.54807158226908,27.468938328227456,21.986301889897994,19.46748416721562,18.740329556761434,14.692229977797604,11.490206404512168,11.887851215509468,7.136149156111585,9.824638160849128,12.418055638075968,13.137447309284699,16.18793162689144,19.05873857362912,17.524643867276122,21.134967517583963,23.251259417536303,24.951770184213757,28.68609477956626,31.13375669994066,35.604769656368106,38.59783824019161,37.14652172136293,34.928882735183656,30.94401878235965,30.79441853091881,28.119408091614524,26.98610943805651,21.95250781239666,22.337364762221636,16.90921067589011,20.46274538335794,18.283451022083202,13.56001615812524,17.857741233277075,17.154272239954015,17.476976404188946,14.174834453173242,16.8909533998902,15.557351431409161,19.591626964173535,22.589871068137708,24.99720157039634,28.589135813748516,28.024456014402258,32.673166687837785,29.0422511048546,30.572423666711288,25.976041478403772,26.736152285314503,27.91025422466761,28.1167068927532,24.568512179451183,25.233487397658873,23.56411594479575,25.503312691053154,21.076799677366964,24.090128980311356,23.458363939704924,23.068616176369343,23.5870712655195,23.752611754248154,26.20302887099885,28.464929344567746,26.206451760246523,29.93559051226319,30.317119111471012,30.816321549180266,35.15674814317982,35.418197975372735,31.587548431764418,33.067688129402285,37.2541335446644,34.97692531342761,31.553214306284843,36.33666446579228,39.74705640604566,35.32806599795009,36.354612653706745,40.24165887549055,38.971010130847375,36.363713472266134,39.93938991474809,38.093573611503395,43.218224572676206,39.92885577329729,39.954544245851686,43.94138679802114,46.53428181467377,51.17336352906075,50.80268906647108,50.946039886653715,48.04820626761588,49.18826594934849,45.83075015424483,48.136723513904045,47.9358957146767,41.895733685961495,42.66578336514713,44.86540536214992,41.48211206851724,38.38650156171927,39.376757861312534,39.863995274485085,36.83785889029076,32.86699647547172,33.77993723120101,34.9836664166448,38.677707942417676,40.693886929912594,42.33535796406406,46.61277497248844,43.327112626520375,39.69133140265065,44.11172658189955,44.905061956094,40.04973402639048,40.49459942217349,44.18188162552381,43.030748468349294,40.51990128405173,45.10948304986327,46.66914561505888,43.547082443042676,44.410917352349905,47.91339995071479,45.72639621226086,47.013119043647336,44.363915428627955,46.95236482329772,47.19874360482585,41.55785963719641,42.575383348068236,44.538537882030134,42.22082791322853,38.439453703283874,43.18175928289147,43.184336219741326,37.903327681270866,37.45325813816148,42.25579218447557,41.310833210431575,37.46586614478114,34.24001266409008,36.81651465308523,34.15462032836418,37.77866135381561,33.41522081532688,33.50835218374598,31.53549626352663,29.690878181286543,28.664526644652526,29.300922983543984,27.66408913888471,30.524341112934344,26.76138285074692,27.582273744580608,24.466887506391895,28.58570908614689,31.77791628631907,35.4771501675149,35.37078027376977,30.930178812101804,34.218929880535065,37.10895018505136,32.34071695846724,32.19346268720105,37.03419227944709,38.44042128493031,38.11372292093545,38.77528010858366,39.86391413551335],[37.18355702625042,34.27619628679844,31.854618209046492,27.151731410075772,24.865980841558013,28.324103268386562,25.979559789472304,29.20671704478708,28.668142690220222,25.381939845451214,27.887588035102375,31.401072455967924,26.47979623996886,24.659068432599238,28.111525587749792,28.22084177332421,23.470424902738635,24.652362463011233,22.118688146895483,24.20601428470154,24.75441506970976,26.949308499654013,26.02059420933522,23.16555877457811,22.01129490488189,19.840663003238713,20.143213541263076,19.635500287540676,23.825916190985485,27.121934270828806,30.840802805672283,32.43445903755465,36.51450421544325,37.253755777771346,33.887976871607634,29.86240289376924,30.402360207590174,25.923434960987084,23.729848316092667,27.655662469965687,22.24887215136172,24.3086719198328,27.878683256105916,25.368374473068343,25.420335800975696,23.661827345815325,27.47148112382929,28.121850847326613,24.240348142641796,27.95755217018387,31.12793502601392,31.97875460130802,34.19399705412604,30.110349526855018,36.31258339556376,36.52401334901012,32.43489397007691,34.31646654967836,38.3583899770774,35.84336779542546,32.74592581552974,36.036033500798254,36.15145949869775,35.71793154763002,32.190041281556994,30.588529333917492,28.23232335142724,28.312221870023066,25.576284095278762,27.14716992907565,25.407547758383426,28.000173238414007,30.193655548593128,30.296954046746404,31.721735186369298,37.007760958745514,34.32304437943317,38.68384149520947,36.53232482284449,35.59068142596495,35.403257071965015,33.19852580775673,34.16352224050004,32.61444225533309,28.318522829393157,29.16272526446103,29.544731686145155,33.56224395188265,31.619970037870466,37.25894747513393,35.03163932549462,38.39590178281887,36.95219897352804,37.087308898145444,33.57925583976469,35.704116478190734,32.55942363214299,35.018092547818334,34.38400443762097,38.5364673530458,35.54089926033699,36.28244914478134,33.83447333263807,33.6688976926487,32.916634651984026,30.829802584070304,34.044903872893094,32.05939769036763,31.00227661642167,31.957860731146226,29.07782941840743,25.651754823023683,24.857358924935976,20.77338365459332,20.45892162591479,16.694071038605767,17.2768759216752,13.329310306211314,16.87980790757583,20.096513056825493,18.388234553994245,19.21487861738976,15.407565969974733,17.345881225137234,20.318976299834002,18.741516810440864,24.513764240571582,23.06522241284917,25.557081220221452,27.0862970503646,26.272774812413147,29.8398933696664,26.8016239868786,28.85774986070368,23.40744113466237,21.082370792959182,20.19711429703765,16.40982423524076,13.413683642802475,13.815643542052895,9.293890321749354,11.408069984161925,13.993681989893883,14.871933780128735,17.768159575712843,20.667896365513744,19.23738263161899,22.838246056137077,24.962685750447815,26.648865318282933,30.363126910715124,32.78483043821429,37.2479299773491,40.20280808531792,38.768338295557534,36.57101448753299,32.59403126562356,32.46364842171423,29.77969721582927,28.657476295525047,23.63614820708398,23.956520372265178,18.59777853161771,21.972183195297912,19.716665750778073,15.008279225401788,19.05745659195044,17.989060543002267,18.42987784645845,15.476904199226487,18.272809959288324,17.199245021619827,21.123800272356313,24.126379210330782,26.546275786974846,30.151130158363326,29.619356766347554,34.18662955199024,30.516384430179777,32.0319767148562,27.389989637772604,28.26460737772251,29.2462876828911,29.307173758542913,25.82996053289601,26.41318466444677,24.790563013381746,26.436165585772745,21.934001860651932,24.865294146274614,24.123271719406926,24.055493340086947,24.515534889146007,24.77668514207685,27.226870678364477,29.433089739929528,27.333290380152356,31.075071504091188,31.47524193745062,32.13956398188121,36.394862491559095,36.78265635351042,32.983067725473205,34.308480024306846,38.5208889558223,36.33407453455513,32.792024760642086,37.528463384055286,41.042174264540556,36.62533249090644,37.54536669925555,41.43924302314024,40.257315535788905,37.554225917845976,41.0438882182375,39.15800069872298,44.27870573367382,40.81961108085577,40.97451697064325,44.97967438221602,47.51132760647459,52.20718839095085,51.7544145918616,51.984780190458935,49.12131674592265,50.29101963627096,47.0095517496186,49.21563471115032,48.94864917598534,42.975603805179254,43.75931205366051,45.804860712141696,42.405855045504495,39.38921194119667,40.31593860171699,40.64043064116549,37.658496273727415,33.80633308818825,34.839549798084235,36.20111860053754,39.85698571787585,41.94013987259204,43.652728472218115,47.9489723322277,44.73973956515589,41.06624565763734,45.46217302312831,46.33602524358067,41.513164415716275,41.88096039715015,45.59164721584392,44.47616715208447,41.91128145808219,46.44787130615749,48.041260235876905,44.91735451036903,45.69686901382241,49.1764991842171,46.95142338007645,48.254657485053485,45.64210157593252,48.14991823706159,48.345491180832944,42.7393566497824,43.73086592292842,45.58634135155932,43.26730000345649,39.50196007277625,44.13749492375777,44.044538963110284,38.81505736978201,38.348300887792135,43.031382512565116,42.0151638123596,38.20429741508357,35.06029125381424,37.42189398179974,34.79767436568047,38.51792523715453,34.27763740160351,34.53314147341953,32.69680935956678,30.698182137311218,29.65906503391073,30.142216683153773,28.60334627189639,31.582101344478378,28.033919752196038,28.911136580721536,25.94704067253526,30.026228114164653,33.289441079392965,36.95439796712709,36.91303199460546,32.47577454019437,35.67598380645757,38.6151819325569,33.911035396946005,33.661143885519834,38.478038696191376,39.946295740035836,39.64139843710392,40.338640948734174,41.46780898192852],[38.809347700961354,35.90002575750539,33.46178116643928,28.9025071399507,26.61985685391302,30.19688611179834,27.948891378269646,31.12234268388186,30.65153483793937,27.406189046824792,29.849868698624196,33.31269751569519,28.414804228610524,26.62776607758884,29.964748113554585,30.043816792517536,25.33034017277175,26.3491889092305,23.677862994717636,25.68434834543682,26.05378257590056,28.068437204225685,27.04971543363757,24.117928540814454,23.15933042511145,21.23530834751155,21.69882311397144,21.403072994205463,25.54208178619787,28.865632249726726,32.51484395350556,34.142164979018936,38.178201856518854,38.80839581573407,35.450006747746016,31.42395768612258,31.994462452662674,27.419929698897967,25.18745422947334,28.79285463883012,23.393790047952297,25.546662209836942,28.907255916777547,26.29798474650245,26.268689933486893,24.37418097868345,28.07295494451708,28.838638157112523,24.913397454909376,28.432915158079183,31.763328820660348,32.60867462366553,34.90204962034556,31.035075998419032,37.19734234228605,37.24971483502265,33.270502423183665,35.33943652582649,39.23464416637467,36.59110366755299,33.682601382881096,37.07455069095061,37.32679787214438,36.781027907821,33.22291708616919,31.789829564737158,29.518710756194597,29.774227950510046,27.077362595455778,28.769518164380642,26.999937763289328,29.52468494961947,31.721542782397655,31.690652565150895,33.20486417872565,38.351730851341934,35.65356565839893,40.01633914609845,37.837798627023,36.78036805767331,36.673310503410846,34.37300455073785,35.48399601602243,33.80434711208538,29.54523667422525,30.550355856789192,30.889638724718296,34.98381247809779,33.03544296139655,38.692797746070575,36.51690914098207,39.844382846621826,38.502440725968405,38.714988154858275,35.296479308796535,37.43214135157098,34.36498542856486,36.79067346730754,36.202777910238304,40.326260533888515,37.27111999962178,37.983480172531955,35.4665504102729,35.276151364847394,34.315934366851245,32.33317898447005,35.381910182008525,33.30406901908885,32.37538637888939,33.452750846830654,30.732492418813436,27.41271000089375,26.785372980364773,22.78973039310473,22.535411863365002,18.90735743109828,19.321493791422373,15.518535897188096,18.59157156401584,21.89068811735341,20.27504359245403,21.235681742439954,17.673723161391116,19.60347227895941,22.474285243878956,20.83211223781864,26.400796330852064,24.823836282409214,27.09430757599791,28.48738237241794,27.465139884708442,30.851208074030907,27.737389901651028,29.972036995296065,24.616398784599795,22.637022705132175,21.60862765573685,18.229147178024483,15.622801241006965,15.963345988370316,11.788249351722591,13.248317233914293,15.880526639228192,16.86380552978388,19.488262842436114,22.446897154722866,21.17829490121968,24.74036115732494,26.812580650452215,28.565954882980908,32.17437711753982,34.64876782374749,39.011990429548774,42.0123686510315,40.59596121470224,38.366161096654196,34.429101459049264,34.23596013335194,31.566979588817002,30.357102426739722,25.337024995555538,25.61605981595946,20.343690630836853,23.419184358721942,20.982021602306162,16.334560997368627,19.97700225917942,18.473153821089344,19.069612510566085,16.630075213658838,19.472376379539686,18.78374912313308,22.511926673835887,25.525803847315064,27.993727551883154,31.614960199285395,31.2210038371272,35.60569850507422,31.856526054228183,33.300984455820284,28.58000253672695,29.619452329365473,30.271691199578562,30.118510345193798,26.767547869017573,27.286707636004238,25.818487065088384,27.0540835303925,22.550021044059566,25.274618938186098,24.37797780657513,24.663154694279093,25.002743080711948,25.391805683279458,27.83202663299648,29.974633992934102,28.148554965043903,31.90256245064631,32.4034984630799,33.28720171544495,37.44282344727831,38.021746058718016,34.31256187369025,35.46459157294704,39.697511752608506,37.69782567721858,34.08227206099114,38.71538851046398,42.350282438849696,38.04832979914923,38.85721862959789,42.737816807717266,41.712617138329044,38.98248500569573,42.331800614062594,40.35751686653832,45.43565005433663,41.727717921263555,41.980455633428825,45.99022388785489,48.364797842207,53.13266615029049,52.512837588046274,52.810192309986476,49.956105674579085,51.11288255643887,47.91513590616186,49.945537728546554,49.63152105801036,43.78301211444533,44.51831128838506,46.34499338161435,42.98467547133941,40.05505649607276,40.83948299142736,41.00687746218835,38.13792457625648,34.37136823398269,35.63053850996165,37.11924393214951,40.71960780168415,42.935622564066676,44.71753198878625,49.05367241794609,45.95328769191853,42.256822101860415,46.65943188261907,47.64134145918794,42.89894223612169,43.20116809239746,46.96819838428805,45.942664844829885,43.34512214047223,47.77484131124882,49.449930402349,46.40023018791145,47.04738191425702,50.456999180973455,48.1616610676727,49.41437872527975,46.8045929413764,49.16962983432377,49.37136991042291,43.8434685210589,44.710474589079055,46.458339363173344,44.193619730501005,40.40224915491991,44.843205808843294,44.70716969539948,39.583669357384245,39.0018179024297,43.52900267130314,42.5040552837607,38.77049504995759,35.80883922921999,37.920546679838054,35.446248602525635,39.275050354117006,35.261756189769436,35.63318491210472,34.039650099175915,31.929098380754468,30.790591363776212,31.032869728314537,29.530068899538968,32.569252577000846,29.324927560474656,30.15454421248388,27.482783112153246,31.566494627590735,34.82484345068948,38.44375138974825,38.52019788643983,34.14665943812176,37.266844787938155,40.264551834932426,35.68312927865038,35.383786905072284,40.1424191465771,41.68787178333123,41.44138613236533,42.16715687446836,43.29823086140881],[39.25407980984356,36.29943513076359,33.73093749357839,29.431434787938077,26.945027508548463,30.719525590176477,28.565084037882762,31.65154076878961,31.40773038409413,28.3030747128597,30.77356149630974,34.08479966579404,29.22755546402368,27.659986029466378,30.927605109047985,30.89298811602345,26.285142085936528,27.328645879260467,24.804561954799592,26.572816171001172,26.99790088712819,28.815522528795714,27.91998597474891,25.033047890678937,24.000825766350122,22.28377550801494,22.598093075423105,22.386560601840696,26.383172628332908,29.56526999985772,33.35847488563511,34.780049296288425,38.819171773572336,39.45901617911453,36.04379758551392,32.10787988544219,32.50201707142233,27.992986673330485,25.680695630309682,28.956546258344584,23.80768947287127,26.176761421061936,29.340283356947456,26.70582674722927,26.84516808959505,24.963731163968692,28.544526941007252,29.160896432783524,25.155591018477477,28.423515257754808,31.783976108488773,32.476253345640245,34.837389058429025,31.122089685847442,37.22129956975754,37.3125281621662,33.516067861372576,35.638392546247815,39.46663416785092,36.88628665092146,34.17351058913909,37.66437255784728,37.961862459455205,37.541445962530695,33.939087709143905,32.48976526424999,30.470420281022047,30.71783391426011,28.222584975919734,29.889063196045083,28.22428741812517,30.80495352126905,32.87279960997784,32.8140271502988,34.173156024004406,39.21603076724958,36.40459641380138,40.68153692291788,38.4001194902733,37.229458757559904,37.00212547453398,34.553953935984616,35.61658218701356,33.7692554810499,29.599723400748033,30.81629977679435,31.322095573328312,35.38046357966252,33.655325639958335,39.286081064851366,37.27081255873017,40.66702496850539,39.35625237715658,39.519671931035525,36.1395218000256,38.33603642916765,35.303356875512186,37.52068511139431,36.86883979373144,40.830869443713034,37.745068573268874,38.254606978312786,35.735080850149124,35.36935426874483,34.15427858649417,32.222887745046485,35.04907135040095,32.85926051612141,32.062623211646,33.29003385436427,30.775379268239977,27.615390126673418,27.270545504194125,23.402215163677784,23.43730233385243,20.01927289080338,20.50237558463306,17.039158128946895,19.9834343923645,23.09184003477768,21.616788131957854,22.47793726488141,19.09710618510029,20.778153665377868,23.401510772053726,21.513898328558813,26.78171783813104,25.005617558782014,26.99452079144767,28.236168555453187,26.991324079742473,30.187867185735335,27.04101194337818,29.462629895160244,24.203895722875146,22.58540822298789,21.42699938262077,18.52451736897522,16.434717347212754,16.791716785552527,13.277455584040085,14.47830833196721,17.072953483445417,17.860961400030128,20.262011268662363,23.169751311490554,21.956492511918345,25.380813136579683,27.260030165314312,29.105217971688017,32.50126353438769,35.116021092802946,39.30239185629583,42.42544657806009,41.08967581320628,38.78715839611672,34.937469662674275,34.56381133793386,32.01964458698533,30.565793403298937,25.585017765654584,26.02490460136585,20.823675202954792,23.669703754234817,20.96839037777321,16.36520960627049,19.496057290575955,17.687105113805107,18.241599294864564,16.30295028082406,19.1178995550602,18.86688473541865,22.45264076874766,25.50445688602813,28.071638196965868,31.65585653262133,31.510283619134963,35.664613145917514,31.891544842214085,33.16375615007476,28.39100617810087,29.431915476978673,29.77849443512816,29.474100793278083,26.27701296789724,26.964399768366185,25.78976204241072,26.737748901221803,22.43689111342604,24.76337150138871,23.650947396402472,24.046646348322714,24.111882461295934,24.499436798266952,26.8784240552847,28.93981537691861,27.32683044795964,31.078008121806807,31.703638076723063,32.76203861242833,36.831289631441784,37.5884142631202,34.00393557456375,35.03887484040595,39.26595686023169,37.485263206999164,33.904563227012034,38.40613344480316,42.10942831899525,38.02812074725067,38.78377113405841,42.62217656313576,41.76487169360245,39.11825713361505,42.34292936488019,40.27482752886445,45.24888244059448,41.37385955456412,41.59543973508757,45.57401515999416,47.76126777962891,52.557780067937195,51.768546611123945,52.06579339063784,49.18295193025504,50.27917604172866,47.13406132234637,49.01094140223238,48.70030365505547,42.96005689397767,43.6117709829219,45.29780017935605,42.00006375293319,39.107354611999675,39.76657440944783,39.88387666035268,37.138852628298906,33.36044772263216,34.82627032731782,36.34912577884111,39.88853811646082,42.23599260781488,44.05716516954889,48.431195615109885,45.43719764068046,41.73482198871907,46.16176163900832,47.24153527731708,42.59915774311483,42.867548902334605,46.70246188436393,45.79614346938706,43.201853497162574,47.505088882359935,49.280671459143434,46.37996116721377,46.88975696321943,50.19999431508024,47.83276012929991,48.970724075041026,46.322939906994655,48.54555965866202,48.82345173042772,43.38824496325904,44.07480934114673,45.783180326283166,43.61885518772401,39.76391721055422,44.01780470109881,43.95756303007744,38.9478485884324,38.19146156290049,42.62083901499419,41.70373149435302,38.06041045478127,35.30584625913778,37.30629689557925,35.06270868170149,38.91116730345254,35.11244825610698,35.43231580434976,34.082867857437556,32.01012447106707,30.70002997997365,30.749872978004316,29.15772081035948,32.11380326678276,29.11090193859544,29.789855566160824,27.44340932693154,31.582990120990953,34.746273137602905,38.309586247102004,38.5130631054344,34.27620608486504,37.338831690810096,40.386488582938334,35.995128158150834,35.71621715095417,40.37828551700898,42.00414607277069,41.845805604864,42.59461400082618,43.73195762529871]],"stdvs":[[0.578949711659296,0.6001168860429299,0.8475406870116136,0.5688563309720771,0.5378898634887039,0.4909908729279102,0.41905258934004225,0.42192275726958095,0.4010908141285103,0.3691379420225144,0.3744815501473657,0.43310425861647395,0.35850894204157746,0.35023537903497853,0.40363532064680224,0.3770091432989445,0.3886758942365806,0.3735936372099205,0.5226916333604067,0.41726103889711286,0.5755840206003772,0.5563660180359866,0.9841120978296389,1.0091376063903263,0.9057239600119764,0.5955219426976301,0.5100834785204157,0.33895298160985093,0.3795722836145834,0.3162902826849902,0.39644664799407014,0.33861730246116656,0.3883698299013746,0.41276443117835393,0.36808154010484306,0.37985393151829067,0.42496060606716163,0.46434196589340615,0.4252239924300494,0.5956616092413446,0.7666520511725057,0.56571634680474,0.635625557424133,0.892286758089931,1.481867710539054,2.402514759648291,2.5721275305769993,1.68676087046405,2.24940795277332,3.186760432506986,1.799008280394775,1.698216932445483,1.0596814719429906,0.8648320570910687,1.133746258674477,0.9004580648927001,0.8912768949396263,0.7032475535213052,0.7182944457578243,1.3733457108874618,0.7529462936942731,0.6770806526573981,0.5299162373987546,0.6945991390573989,0.6556699607453232,0.5054795230076452,0.6132374260798871,0.426236928420787,0.5587056754320251,0.5341280138341054,0.7728427807811958,0.9860831521642087,0.5804002485838001,0.7147514886888394,0.5071431049772657,0.7195308545892711,0.5007539308233323,0.4521144491104007,0.5081927071596403,0.5475815544380559,0.49167927463120925,0.5418671116848152,0.6717058620231964,0.8524577955301232,0.5332089474926118,0.3950875195971572,0.42680058909414953,0.5607072816448978,0.42570028440633856,0.4395593525134968,0.45895088257352457,0.5521416750502738,0.5346028835113674,0.40613895016321916,0.36240401202116856,0.4523778877364696,0.6281631754887955,0.4451294794681985,0.40966370790484874,0.3864049998786438,0.3563775001875845,0.43631041618027966,0.3938610616994785,0.4126912371922695,0.32906064114034195,0.4562586011356062,0.5717414875343465,0.5752029623346754,0.4625580536837154,0.46373414436253413,0.4164748422669055,0.36359487632773907,0.3574065080813194,0.31539282462696233,0.425390880613278,0.3807704813566932,0.3265016075566063,0.2819892781720203,0.429517535335897,0.3410650236551495,0.36407920164351537,0.3865492083368363,0.408409534965239,0.38347742722802647,0.39224576829391294,0.40081953002573134,0.487632795438724,0.4342206642069365,0.4386001983110375,0.3896812053259617,0.4176947798568389,0.39359095643833,0.34701461219727464,0.31266442270960493,0.306331192606023,0.3225411850189121,0.5142488840534644,0.24792330969618145,0.19865060891978023,0.20614044389637215,0.3161382528145185,0.45300769965212057,0.3427473714790055,0.3158029159698938,0.3861072572627351,0.36489264355904943,0.38113775592861066,0.3292117234863609,0.32697681075603147,0.38492961321169683,0.3582388449645482,0.39340187635527046,0.6607134503457982,0.764676349185201,0.6775982310468636,0.38648599923998866,0.38199564090896254,0.34422347163127875,0.34478202238206557,0.3873911121795804,0.3287199197617518,0.29619808209098686,0.278261467317957,0.2803406276432198,0.38390609703877615,0.19984760379889624,0.3354413723766604,0.5224911822901912,0.4089069157948365,0.2822516012157515,0.28000400426024924,0.21641846205377588,0.24601433564999706,0.2594665253512707,0.2541699698235739,0.2701697277198923,0.3258117302653509,0.3276760013599408,0.40492434313370806,0.41462020290886936,0.5312658725023236,0.32591124986031994,0.41004404610239864,0.4031311586096507,0.3927549238555422,0.7420001889495139,0.8273967905763646,1.0351601771063297,1.7838959179171283,0.8980646974654126,0.9839947978043377,0.9815313417206099,0.7724187854802169,0.6810744878718957,0.4912181766319293,0.5356114739020048,0.5633666492642433,0.5535253877808478,0.6041849319493141,0.6357616603439781,0.5874184867714176,0.5435602596586314,0.5115493249273755,0.544132006735903,0.5318736354287682,0.5210429241859081,0.6265417324798735,0.6003139608281393,0.5287056015915809,0.6372021239607949,0.7038087547622383,0.6610577364312089,0.6459514103771514,0.8446736850132897,0.8890801003557912,0.9040751306306378,0.8500558069185402,0.8522131402390124,0.7132182861290239,0.7094324239538441,0.717148370818598,1.2523981303248484,1.0193812690437405,1.1325210534566479,0.7627806728397896,0.7251873043707944,0.7248097469333918,0.843238702651637,0.7556796124143975,0.7904473412271164,0.7531982858708555,0.8940731793250764,0.747828890544497,0.7004439157236767,1.2894247010844953,0.9883408624653124,0.8807544017754397,1.203147118817321,0.6286925832213491,0.7924607899722373,0.6966644391280794,0.6927663714791624,0.7664035560375727,0.7553218303253701,0.7831386363187793,0.6845829656296424,0.6939017165325445,0.6554214829430917,0.6215111788784354,0.5173645162709806,0.5150808435691063,0.5402309914680429,0.5105452899664545,0.5352485975945369,0.5255125008015742,0.7711133243074252,0.6046555215020062,0.5514785368855947,0.5643388512403058,0.5642270441084098,0.5811401765097809,0.6376568049501794,0.5744356977871118,0.5707940843564809,0.6017140315908698,0.6091622925675813,0.6396697926135979,0.6249067085191545,0.6926208201385495,0.8290618854925728,0.735980027933011,0.7380018328076211,0.896579252759607,0.9998022409223495,0.9594333074054767,0.9675840883429272,1.749843412208485,1.6449101391660903,1.0598855668201117,0.9878138682836809,0.833567059832696,0.8510585478303324,1.2611899909214719,0.969319983457633,0.912545364522383,0.8465347699107121,0.7621096964368189,0.5917647179471182,0.5115541416700454,0.4485768730230458,0.5181271461491903,0.4893145369336092,0.4951151366237348,0.7103786480884955,0.5304624798158157,0.5138232253544822,0.5313386239867657,0.8747840358787285,0.569021308886005,0.6913003275323608,0.9570059116841845,1.9561070581820723,2.9139866748811967,3.9111321133710244],[0.5590221092876334,0.5751917039411296,0.8299385786935247,0.53479323950477,0.5278355134217564,0.5254611703020137,0.463504554560886,0.4860218226645761,0.45651713113178144,0.4188472595888217,0.4265716130824724,0.48699381616330356,0.40875328118681387,0.38712837461305505,0.4245594768199784,0.40162251113516634,0.40860862960074085,0.36146888221595114,0.4788875051377231,0.38655012783072634,0.5310348053751746,0.5172516917224109,0.9059302603652087,0.9362610985834233,0.8765043585621769,0.5670760346164696,0.49670387284763684,0.3273580169533956,0.37009420872380316,0.3576547669211004,0.4005711099717401,0.3746848091995778,0.4199971736111864,0.4142805011420345,0.38114191565672817,0.37463152036173736,0.42456145374544896,0.43805639870976054,0.38786750481748244,0.5419714643695138,0.770929203607188,0.5466533613148743,0.5967207838771935,0.8799244046918816,1.4140141358325196,2.361613692306519,2.48899990382239,1.6413989988604485,2.3182996416185926,3.2235727580406146,1.797814842718603,1.7577391499948853,1.043449927857072,0.7956371038585729,1.1204306954992955,0.83719170687538,0.8748429570573621,0.6190652173566984,0.6535210367204476,1.3590592009327538,0.7101974404524203,0.6572107402452274,0.5060004709067787,0.6371993520362298,0.6055216751635936,0.4698869466088207,0.5803373252223742,0.3889122858748276,0.5025634203260072,0.540293940841955,0.749078298424878,0.9432237507021403,0.5751192552073251,0.6605101731728901,0.4897910506765417,0.7167599090343273,0.4612571319181321,0.43162044312163506,0.4829822364347683,0.5051821702323633,0.4699158367314824,0.5006270751786236,0.7069125469332178,0.7687094334807032,0.529582931923786,0.39246280192362093,0.398552767893533,0.5257914180726032,0.4071982266954156,0.44780284053489605,0.42570089122009325,0.559285304759814,0.5267404124219915,0.40507300531723806,0.38781169830809403,0.4757954782027361,0.6442846987035201,0.48229091977708266,0.45371609069207075,0.4597883236870892,0.42213276883599554,0.5046979648118513,0.4349190883434591,0.4734114008517777,0.4207433043763412,0.5050933331122684,0.5446038743935083,0.5425777471690764,0.4598488420543879,0.491531563191359,0.4471617720428562,0.42146145136866986,0.4272130580969814,0.37139802033115654,0.46069506972521274,0.4239068162310842,0.37837388918158504,0.32954327323854443,0.41571168507487605,0.3816173117482993,0.4019560492504797,0.4491616379387561,0.46429457855990497,0.4127566358461609,0.4249527695774828,0.42034521873839187,0.5199301412290817,0.4736351532541272,0.43663214108320053,0.4115680467582184,0.4014299750468264,0.3860910267317226,0.374650848569806,0.3742266449294891,0.3547801316550071,0.41725883844329004,0.5395144409092669,0.3190658005216556,0.2032847933790341,0.25087801478035127,0.2807928444732228,0.3931188502417442,0.2882074573432041,0.2863905163413443,0.39412974132608075,0.357226487364701,0.38202325279106064,0.36849739409270316,0.37988523503915766,0.43553790795602326,0.4108456787840986,0.46047642109839687,0.7103470693267472,0.8457456908786445,0.7547590598697214,0.47329082890078517,0.44662743517775727,0.402743707937505,0.4084053348373858,0.4347191546652368,0.37924704180476554,0.33081519720357017,0.32856240225412975,0.3452586166390898,0.3885045372744456,0.3170779335022511,0.503936020861863,0.6436767735406934,0.5985889470296202,0.5279983949100435,0.4143832686429336,0.35212298383413115,0.36244738329948745,0.37778246565776025,0.3578776277707612,0.37312443822341057,0.40096153486971264,0.43407578447990114,0.45764117325881365,0.47870709464481753,0.588051843800815,0.41763372376651314,0.4672040619036849,0.4978528530673809,0.49009405019955593,0.7387034508558145,0.8091273763311935,1.067461541288784,1.7932808464248258,0.9583548804466123,1.0137996097698951,0.9731097489343411,0.8553848933166739,0.7915064621517364,0.565417334654028,0.5684439249484966,0.5210198778936204,0.5152051588380554,0.5676517598557254,0.6227908304333027,0.5417739089111103,0.5104810363496107,0.4907537097866598,0.5113725882513823,0.5104836809879851,0.5254523844474754,0.6072832610025942,0.5847211721884813,0.5339584151693573,0.6511350643129254,0.7123440177126165,0.6753566110616605,0.6721018697613989,0.8544205618561114,0.9107714769815171,0.9114066766044666,0.860622059816235,0.8353554100746486,0.696247577127872,0.6935503212040539,0.6894070894297467,1.2200284776935262,0.9409614473749247,1.1632925058422836,0.7229453274968178,0.6470917015976245,0.6619901818696878,0.7871843919865198,0.7114221078094128,0.696010092685468,0.7358366264967467,0.878908149745543,0.7157810073079355,0.6356026765040925,1.1530806559845348,0.9059342993445457,0.8536962002382271,1.1710415866813713,0.6013331217884262,0.7382770238167132,0.6425747060468996,0.6588435234655723,0.7149548180486396,0.6860185919864248,0.7150738931522999,0.6252857734001334,0.6442214125835856,0.5995542019574788,0.5800169843297722,0.5046975683996296,0.510365981951421,0.5580547704007705,0.5252872154822259,0.5269634416966875,0.5447428018205791,0.8103200904145904,0.6210378264897449,0.5591269658317113,0.5618169881658783,0.5390791636246226,0.5435422380059292,0.6011850144641818,0.53723023248175,0.5437918883487148,0.5616343995696599,0.5664385517594432,0.6112838989705291,0.5800665922284635,0.6261540778799491,0.8168452424493723,0.7175759414437449,0.700339788340191,0.8518750810939768,0.9658483276012567,0.9157744950898195,0.9364101184965534,1.6907077694242452,1.6181689359936062,1.0184438824834607,0.970935861925286,0.8255353607068483,0.8527344794118996,1.2464423367646702,0.9408999889709585,0.8677686356872449,0.8218168427009783,0.7445196237295564,0.5516201621885024,0.4833541963955091,0.4192010854564141,0.5047932468684413,0.5087800927135517,0.49721042350028494,0.6884194885359576,0.5516407510493467,0.5240628198177586,0.5280406698904815,0.8847120757195791,0.5626245975974012,0.6980139838985143,0.9227021482571264,1.9391544838271961,2.7843764700779876,3.73851777279181],[0.8901994986693338,0.8736613356897975,0.9615529158943641,0.7894582400697554,0.8209402992403306,0.739952965549091,0.680866971913301,0.6519889759671961,0.6487193612314345,0.5325834564387569,0.5205270798256396,0.5924708655768799,0.462143756322605,0.4581770438482309,0.48018463724376836,0.43388078094843024,0.4312178057690725,0.4329694005508507,0.5665106694993665,0.5004885957068053,0.6111833072045659,0.6513440174110143,0.8985398274042831,0.979924827928003,0.9109597732381679,0.6793797369324283,0.6184631154750828,0.4246720584030144,0.4240033204892533,0.3731956461773698,0.4372082889728866,0.3756800524136422,0.4213170143119998,0.42267364878497116,0.3868247460960844,0.4048514549184546,0.4080619389709165,0.47373654888736233,0.4876510328253682,0.6397215467900781,0.8969462703064556,0.6614264732774712,0.7296975741357736,0.9896851271175907,1.537817443362804,2.3658795017842484,2.444418411707685,1.5961767036370746,2.3449176122764643,3.2027785561949447,1.7682862430294592,1.7799972933797428,1.0020652247713453,0.8870933036411821,1.2668579533918856,0.8387462898259197,0.8632821864978193,0.7474380906116986,0.7432293141186187,1.319508405633895,0.78091991960373,0.7157948058238445,0.5821616430093596,0.7363288705470551,0.7302345029153874,0.5729596296721166,0.656718230539683,0.48657206710962186,0.5787903902601795,0.6505199449686557,0.760285788168102,0.9475074716291924,0.6522422520686509,0.7428859092054894,0.5605102243891944,0.813043482554366,0.5275801349157063,0.4710896347926124,0.49034361322040765,0.5338436515546034,0.5180153675239928,0.5631664028202285,0.762659813648932,0.75895355712653,0.5904013239161785,0.4205448713509992,0.45960894793236096,0.5396813663544684,0.427847638328831,0.4642193796708929,0.48216185587625626,0.6237761825666857,0.5801084713068667,0.43826587891585367,0.42899828674417867,0.5420704803439893,0.6581590595736139,0.5042614008941977,0.49377921861942825,0.5327059920363021,0.43562283983456773,0.5082421317303044,0.40554070770751915,0.494647155845707,0.45870339631674273,0.5408999783819195,0.5552025492768566,0.5926852741356543,0.5560841646117104,0.5917893837059783,0.5675772236579227,0.4842398173031402,0.5237606364989017,0.39548138366720725,0.4631934544868327,0.45989992253941486,0.4591277131244601,0.49363226245678143,0.58395372876355,0.4689546192033702,0.49221557990196285,0.5151182975065688,0.5333753753830418,0.43234661933456675,0.5246068815730495,0.45830763358506516,0.6790655465815362,0.5527788114111618,0.5045627678625524,0.47178273797210574,0.4952889819831838,0.49387525186769865,0.5108222783513504,0.4704762293881143,0.4689832441343222,0.48906323805207336,0.6812768491883148,0.4561155092718219,0.34578042688811106,0.3946697834777165,0.5593374885481261,0.6988816445974432,0.4999323563376809,0.4360123836408568,0.5154377603850105,0.4120374538212178,0.40801308702757266,0.38634766328901093,0.37442048705596503,0.4877497395000712,0.502548409583386,0.622226094967698,0.8132138679325697,1.041997506741504,0.8972995184631788,0.5633545287628245,0.4991060237541675,0.4415942474895801,0.40879229593642835,0.44339141613864846,0.35735472842951804,0.3730106257948226,0.41362428367122067,0.45685075456631136,0.5693805218061062,0.6228969107271494,0.7260925097673604,0.9347495991609456,0.8661514361781945,0.7876067604444367,0.6112827477657664,0.48441317647531124,0.47789672724151244,0.43073687211403816,0.3968054180394293,0.39025965798692286,0.38756248269780397,0.4474220771245063,0.46292490008237874,0.4742740998558059,0.661220795946062,0.4319662873871145,0.5292224275495765,0.5922988224788337,0.6015904933685158,0.7901017697360857,0.9103663099435515,1.1780720165158,1.8479561879869104,1.0274427048510204,1.2077451340319656,0.9314974556410682,0.9350269784714178,0.8818273697085264,0.6840349392440791,0.7158051366890944,0.634712019467869,0.5998519488617219,0.6654996193453063,0.725641965666993,0.6554118917388572,0.6481829224822109,0.6522308413958499,0.7000324953981165,0.724052245012429,0.78720939808069,0.8946782807442735,0.8794413537131527,0.8452460841774386,0.9909362276285594,1.0708484719440843,1.0458892959281263,1.0581646403898786,1.22803667736583,1.3077124990964288,1.260763045746014,1.2164349177800549,1.1181892394764696,0.9816223330034103,0.9843954062723341,0.8676106685043327,1.1238248283325156,0.9711799346450213,1.4428985165736532,0.8953882584601571,0.7307058598186603,0.728524847223993,0.8142012896864987,0.80542681474264,0.716142025989299,0.8379927359980985,0.9793759984151835,0.8703176009897976,0.7312192058375421,1.091305114831445,0.944201710228893,0.905107950721365,1.2038698980178677,0.7097408927720308,0.7561166850299684,0.6845174184339745,0.7406191309315865,0.7447125812862776,0.7168023896645374,0.719251830803037,0.6769794664489864,0.7253899283085954,0.6466471575982363,0.6317677816416335,0.6987501683665264,0.733153211741603,0.7994613481924601,0.8085052725938607,0.8049586086033149,0.8664819657402163,1.124663391827366,0.9670493181214765,0.9062222544946357,0.8949007884257626,0.7949215124380447,0.7280983498547114,0.7802350933827282,0.7842122165387893,0.82152002371645,0.7260439447304423,0.7677423505475345,0.8480724124186605,0.7553010123666805,0.7454942348133848,0.9905283591786797,0.8896923520157514,0.8322902846085697,0.936276247435622,1.090135793346921,1.0445933047293572,1.1103526072996073,1.7835212076099052,1.7751964959698388,1.2567130827457194,1.271866709708321,1.152226446694856,1.2470197819094562,1.5752745820185914,1.2136717480421801,1.0400990596383224,0.9488383929187805,0.8581120174695148,0.7549330635158328,0.6322375321455046,0.607144065792633,0.7262832327374185,0.6682150357122003,0.669557057101778,0.7907893560370801,0.7020379762962472,0.7770881069929242,0.6961357839351577,0.8615992930460373,0.7687022400182787,0.9418742238076805,0.9062058938694053,1.9355265419905254,2.3460304732546917,3.372896734862428],[0.4979788243681569,0.49587759358418315,0.7275343461973466,0.4573285240207613,0.3969018043582054,0.4273661370213129,0.34920523420692007,0.37811434485225065,0.37508536592003616,0.3452030051564535,0.35388371695349186,0.4293595180503504,0.35560240985357733,0.32839790880602526,0.3524922561188273,0.37314738777741996,0.3825138622530769,0.3661443845932272,0.47271975813871764,0.3752398884585001,0.42212890478417375,0.453877942192584,0.7347161081978508,0.7675379851726482,0.7569447006267348,0.5009429698101909,0.4704597640652617,0.3328495856921943,0.3991754746249048,0.34470418880155174,0.3626612098113724,0.3442535638069441,0.39251414293375586,0.38996684514613306,0.38465027865493795,0.37688934803784574,0.4178415497958,0.43472645835583107,0.4134315434708485,0.48337214156620606,0.7634219118363699,0.5556723755710226,0.5803453759380249,0.8453996309211891,1.3261584470639645,2.3187343525395336,2.314872230825529,1.568832185960271,2.4844449424544512,3.1809893627594192,1.7334268423538346,1.7913983804418898,0.9492389088133909,0.7523976692552402,1.261907564108397,0.7450575107417168,0.8548333998408795,0.600039906199588,0.6637007011107869,1.2385569332725408,0.6668129976246393,0.6297270949878666,0.5067419684976477,0.556850814863581,0.5319727572234237,0.4239063046090228,0.49667592272355987,0.3903003824884164,0.48949829942524065,0.5631202275227946,0.7159398127449849,0.8117928050128272,0.6188745752643426,0.6398175730866198,0.47070056654021175,0.7174215120413628,0.42292441157602073,0.3860800590046322,0.4425593552033798,0.47514179147367125,0.5002462955512241,0.48205334593636884,0.732473043817528,0.5932763313212893,0.463652321315893,0.3812817857656275,0.3973410156706703,0.5486219931079855,0.39349875858598526,0.45536511898170395,0.4186048914122576,0.5539018459900407,0.4787336091542737,0.3635462579194852,0.35892122850091485,0.4070283136153836,0.5374463535033864,0.4063422782370398,0.3609977373884128,0.4226892551394093,0.3649384487322838,0.4665066935969429,0.3468123431992963,0.4357055944274954,0.4084121185196749,0.46521855382500893,0.4527742793392019,0.5019009131461115,0.4026425037137706,0.45574502924525623,0.37405350077632327,0.3473584701346925,0.32053688299036576,0.32290453049526013,0.3930003463118044,0.3828450952495955,0.4149370157739396,0.3628483073434794,0.43933321042674917,0.4050051253027668,0.40554249622441163,0.4338981463894982,0.4367997868510149,0.3825016832026774,0.29963011407836665,0.2894060674623982,0.4240455229805001,0.3806527852859879,0.34381952964272755,0.3585987452401393,0.3501435037775621,0.3427043196915053,0.3267106335585173,0.3598720692368272,0.2949174279103119,0.4034277114953965,0.5381915573223905,0.279215614821988,0.2634494117513188,0.2930873209312023,0.2751486963374572,0.36240198404397567,0.29821071543470534,0.3125241503590425,0.5256167482217811,0.3792918211491774,0.3876907652556026,0.36162918407917866,0.30685871347991117,0.3432762783479246,0.3528382668953615,0.39076415804273623,0.6618533456667796,0.8166614139428869,0.6903966749554517,0.39882649500895045,0.34067987308758124,0.33849042379144745,0.34605925488368233,0.35262807810527774,0.3009048324037033,0.3422040464429448,0.30259114151588046,0.29198820076738935,0.32417702434972945,0.21708411596184707,0.375256832358305,0.47534273026396157,0.502878248068946,0.45448590612094486,0.327514178256676,0.25937139523252695,0.3265339030685881,0.35747037824489597,0.3311423603486082,0.36836859551908685,0.3581362959425475,0.4511852898961481,0.3982580487920947,0.41739933807642987,0.6005381769433813,0.35644799116102016,0.3782212260825272,0.38077067956396043,0.4184775939665841,0.6506948690577349,0.7835443789853003,1.033489304082068,1.654594685826135,0.7789130647167415,0.9916071510812288,0.638524992181468,0.651362882203085,0.6340573282665016,0.4505408014668047,0.46767093873827775,0.4717649908616748,0.4314307404419563,0.4758374153754734,0.5892345305637777,0.43436284631083,0.3968529414526161,0.3831713475681932,0.3791475791125271,0.3679156995152475,0.37151638424658234,0.45894567313203805,0.4281231346663242,0.38761076821230916,0.5014365254856333,0.5617984867051763,0.529642492274724,0.5417430305001085,0.7120799284270181,0.7479071892302103,0.7563716577198022,0.7279900091327245,0.6908578676295344,0.560099215496195,0.5499286635177398,0.5659083216371866,1.3011518589356246,0.8578845363358907,1.253032264475923,0.6632154900894464,0.5629139812387445,0.5929763292173638,0.6988786656017408,0.573956158667655,0.5305965813644938,0.7051260683276004,0.7499039200106868,0.6586784145614686,0.5564651828900253,0.9872323632982474,0.8041107222196018,0.7607611743125392,1.1852894859338667,0.529093853946125,0.6264617049802594,0.5311073455912606,0.5760892801541859,0.6218208197111674,0.587605041374259,0.6378133989238103,0.5381376274124081,0.5398541892081781,0.5134362498915209,0.4746684663159753,0.38872442443219035,0.40040831468554644,0.4661052993202011,0.3939429528040144,0.4067172454267439,0.444663328833484,0.7269464252945206,0.5033680748251825,0.43901952842838304,0.4429035310179232,0.40291216746634967,0.4170874343761686,0.4726501283019017,0.4139782977402718,0.41917218152857477,0.44491917554312416,0.4405513475903742,0.4840640266650873,0.45545436221885166,0.49835879562006286,0.7129638654032464,0.6238196808433268,0.6164200812064926,0.7003233233340419,0.8528240172771586,0.8086741772509389,0.8278504235255979,1.421538847848673,1.5210002882549891,0.8509876649181517,0.8151523186963635,0.707128589265858,0.7226631329600867,1.1100327850348162,0.7592354363618478,0.6980073615324897,0.7976727800750452,0.6417984866983385,0.44773277571971304,0.3835316707093961,0.20259231185857654,0.31033542962616334,0.4010726036971397,0.34587978733947045,0.6332579779779636,0.4614337762569665,0.38406401095932147,0.40465770905960846,0.8568720258709346,0.46936134366776633,0.6295721735822023,0.8627627166832221,1.8216803448298777,2.601625272710784,3.4744833697803847],[0.46905244933418516,0.4993583532742442,0.7265749836596639,0.4356884835956828,0.6647667416901379,0.5206679817998522,0.4434635844510103,0.46588521116648934,0.4425879027006752,0.3717141800060732,0.38090294318327306,0.48247847790134873,0.37971029969330605,0.34477498012784397,0.374318026635474,0.37679742900578295,0.44218311610638883,0.3997296499779201,0.4885336772430411,0.4186585118705021,0.43835197679510884,0.489109217968251,0.6918965979778466,0.7359173400368949,0.7240978150749456,0.510769844925654,0.4895836799295148,0.3630098559084485,0.44290680271810623,0.4053555523986472,0.41657936223069725,0.4105940588206331,0.4517650113933215,0.4522914781418561,0.43031981823917154,0.4116220213767261,0.46378701147298806,0.4630481331982105,0.45383819410825893,0.4968588630446634,0.7623440178423677,0.5694029139629199,0.5768795520178315,0.7872774142293731,1.27724502443638,2.1771000600994626,2.1411754627846173,1.4089362845681543,2.3666599043135514,3.0147630543905697,1.5913182432063253,1.7131597533035403,0.9032191551680115,0.7958011028807597,1.3304208730748834,0.6861735116225505,0.7802849538380663,0.5902904586159857,0.6398666222647845,1.1821478005904742,0.6939289223049345,0.6342933902208775,0.5421592823758914,0.6038390258805447,0.5549286057571491,0.46123833514970836,0.5708119571955579,0.44671025364296874,0.5525206847247843,0.6138112030484744,0.7578059894914947,0.867875432738121,0.6678595314472885,0.7288696338144767,0.5138483873760695,0.8205527517932789,0.4726278341693137,0.43620273163522233,0.4649929821504352,0.5027645531602581,0.509513162208451,0.5068550925938752,0.8152625098460736,0.5493754278325362,0.4905552012551043,0.42257357117075345,0.4349274744818617,0.5842459361104927,0.43079158760644853,0.48448860173064895,0.46656457312649036,0.584273620367242,0.5298607026164308,0.39091270345316315,0.3904751277830786,0.4726453521342052,0.5709877030971885,0.47580524723642403,0.43200284024583463,0.5307426826411584,0.42897915852917273,0.5675553465946368,0.444466179857974,0.561375997710724,0.5709756275226532,0.5859557579170828,0.6232106643487925,0.6555771018744834,0.6146285384276475,0.6330928939712281,0.5607545510496152,0.4901702732595881,0.4298738520964195,0.38443180282422057,0.3929445564814587,0.40553107301848373,0.41650361355230464,0.39168086566135213,0.5014529286536185,0.4421379659885055,0.4522089891817508,0.4768162839915917,0.4579771883345527,0.3707821452394831,0.30309021482035975,0.3795842346947374,0.5510818457759759,0.5283327634276265,0.5232848546180354,0.5381476985837853,0.5392818616149012,0.5375764507709979,0.5186065117521702,0.530163281856009,0.49006614463731824,0.5572234315975951,0.6800183106273465,0.4306509407745045,0.31703271309323,0.32986364198798307,0.36413662671482716,0.45162146656888064,0.3734250298366178,0.3432868793831538,0.4597752834492604,0.44424203006614094,0.4205334682770306,0.4266236160567071,0.3990494402697151,0.4521839304211862,0.4881921042109393,0.5166637947657543,0.7731756539280951,1.0264233239380312,0.8654021845188847,0.5095212163423827,0.435580426420089,0.4631906708911512,0.4204211782139518,0.5055435447317448,0.42069311064600784,0.4145900432542975,0.4042605794779816,0.3865777989725436,0.4204845398198574,0.37202777520004454,0.5079691304720141,0.641503572975073,0.6669405836541697,0.5954804662978536,0.48015704717322316,0.42879336988221245,0.463664037244895,0.4542820671808248,0.4312130878746255,0.49869929014651965,0.458087984871178,0.5802749193242576,0.48363924087229465,0.5090153909389352,0.6208666048770324,0.5029542789912977,0.5174005421665464,0.4981004908346939,0.4755518579165824,0.6037241985553876,0.7452577806077249,0.9904948888026684,1.668665313085931,0.8270432523361895,0.9904636303290585,0.7368112632265957,0.7664002329960754,0.756659614345753,0.5979966714468626,0.6085605399007916,0.6219784790947728,0.6187964557998095,0.6811177923413526,0.736001517725361,0.6519555423474716,0.6106978536414823,0.6115322871573698,0.6370615863722195,0.6251371111647377,0.6169292573279923,0.6725899334697636,0.6800594800394024,0.6465855747001695,0.7099802629142705,0.7766256000263086,0.7721845230330713,0.769521528231697,0.9176392335464185,0.9754345479873907,0.9505685039086191,0.9921685326880249,0.8822401237523162,0.8064562189022206,0.8051825807075759,0.8060729134713019,1.3596224902857752,0.9654192024022099,1.4715153860302381,0.8385697648933899,0.747572502299306,0.7777745497235641,0.8600322921109353,0.7817336929377791,0.703382113227238,0.9318668655404181,0.9274732276642114,0.932060220397439,0.8109246395666864,1.0336529080413996,1.0001617143028967,0.9309824915855714,1.2212875481189331,0.7511714093071665,0.739813640864784,0.6961674682481848,0.7470328018774527,0.7392746431953087,0.7660609811995461,0.7333733481924425,0.7020417535823591,0.6762438773352859,0.6496769473807057,0.6027116516145071,0.6094747006976959,0.6084217171915653,0.6518866100872093,0.5980437505841836,0.6265832084931593,0.6655710959923794,0.9178858074933809,0.7382955444755714,0.7022993957115572,0.6985446399087771,0.6530839349336799,0.6330950504348154,0.6789073931875269,0.6826118298491708,0.6890245490946972,0.6867407158039865,0.7036277199006158,0.7481137411534493,0.7156449002103379,0.7382894108777176,0.9378344233895518,0.8441366487681325,0.8584856790034585,0.8728824170887302,1.0625024814039987,0.9786211340194658,0.9824254747932281,1.408868090986584,1.5066437827333943,0.9992231287954302,0.9583084630772877,0.8873938082691635,0.8709979662411459,1.180584046227749,0.8551755172655969,0.8679588390126797,1.0597232976119924,0.8410154863601594,0.72621201049344,0.6282986621387325,0.5555441254750099,0.5464517566139461,0.5965467947477325,0.5358265068419705,0.706317903927393,0.5754634149566243,0.5166239383136988,0.4647376188121545,0.8211267333417704,0.4826680489933559,0.7174904219746091,0.8110045451246786,1.7946784516079848,2.1568023683650597,2.896579017532344],[0.485189802674619,0.5149393089062996,0.7668084354680232,0.5458702639393336,0.5687459363782686,0.49050557324010213,0.3858483547181278,0.39809941878100114,0.4032029602154121,0.36488651388563476,0.3786738398940645,0.42190440061918233,0.38796814329072393,0.3497820875346926,0.40257929396350234,0.3933432467328231,0.4109623127368261,0.39375010604762395,0.47374845095986173,0.4317348935005748,0.4982597398760051,0.48384011733549565,0.748930355156636,0.8026908463080857,0.8133396019641757,0.5674634483838009,0.4725565863565528,0.38859398868320094,0.4003984417464689,0.36608452346474885,0.43582048110926186,0.37435821409227665,0.4037753306372412,0.4319414472347089,0.3966089799628218,0.4007639531972086,0.39405050051952845,0.39356974000227024,0.37933662708968924,0.42345532757177007,0.8003023904797731,0.5516520584916275,0.5651979091074788,0.7880541993212232,1.1480477928508392,1.9767821060286581,1.8599234244660197,1.2704404894518382,2.373747346242141,2.7892064081566645,1.4632782304447916,1.7027347346170492,0.8797224127053448,0.8401236778094892,1.3343303688220427,0.6550443357331334,0.7293764909241359,0.6417445022329703,0.6213528174369148,1.1641127245972376,0.6381681053590552,0.627081123575453,0.5471000586498203,0.6947201706665276,0.607567774785672,0.5031700784780534,0.6214038297160623,0.45337709981120217,0.5421478324037939,0.6082260342520026,0.7611930134167446,0.8844225137262014,0.6741128735288622,0.7260384115302865,0.5671384991248544,0.8359473174206717,0.4800437729531562,0.45517798077381566,0.47036910705856566,0.4844126443158545,0.4303370181048137,0.4287200865383458,0.8160296079655329,0.4982825369462911,0.4882195679774342,0.3555479876495296,0.37882251721309196,0.4897085799335727,0.41055875894275823,0.4606851584197496,0.47201589289602125,0.6333329286375453,0.5742577074962091,0.43098091816091016,0.4082360215579274,0.5227979730625184,0.6099962259654048,0.4699656738729593,0.4159884076654853,0.4638155000563778,0.3676837843580974,0.4560971268925074,0.3903860279407671,0.42908375122623954,0.4039876579721322,0.4217913505156821,0.44835891711338105,0.5152598843811808,0.42948489217246855,0.5371373531465478,0.38468289501310804,0.3347930129451167,0.3193709203123032,0.2969174564550507,0.38034516456098466,0.41709317900769527,0.4379832528635084,0.40361793034890014,0.44613772744565644,0.41907221881286977,0.438212400599719,0.4608712725167698,0.42639403086149313,0.30853782850709066,0.2649760668747824,0.2745528930995108,0.34569369433913755,0.3661526925304687,0.3950005002100875,0.4148654288686043,0.46542482879974484,0.43195803807492666,0.45808662096299146,0.41928928748218114,0.4494474969153252,0.5085561201298141,0.6246341060800585,0.41859951959695796,0.39124819509380415,0.3648733037699756,0.5330791168221358,0.546053668297577,0.426426327739318,0.34540899264344255,0.3737665157505082,0.39892671704852817,0.3780602289677764,0.37658378268687204,0.3163025978917925,0.3821771769236898,0.3893449101165105,0.46112906874448883,0.6134174395034108,0.9723357536222655,0.8763904013157888,0.4293899898391914,0.368695343156488,0.3566716311802094,0.3692712315721602,0.3726893000923184,0.3404428752962566,0.3658304961282349,0.3660445898579659,0.3656736640893928,0.42161643943168076,0.4576799465989742,0.5140820647520391,0.6418882097261797,0.647499050583794,0.6037059280071065,0.4832133268387658,0.419558008048487,0.41938693367183155,0.37551464711619703,0.3302226673355316,0.39451606355992525,0.41413463493977987,0.4979961603377042,0.4148540450949751,0.37606501948773213,0.5359047720604369,0.39291211580570234,0.4505541760497784,0.4697334881277022,0.4873059761157905,0.6122048578496512,0.7040399704233667,0.7459562090190359,1.7778066945191007,0.9145806140577917,1.0706508183653094,0.8642864863836677,0.8292746543632229,0.7747602154323388,0.591117559606349,0.5693330455306619,0.5860926310621009,0.558059500158797,0.6105082651160385,0.7118827273852257,0.6087226911433278,0.5681261145562899,0.5695369684972647,0.6192235941721841,0.6132405925843754,0.6216860660414579,0.7173389183132708,0.677485466706293,0.6449295887462612,0.7203403423351009,0.7593443198327255,0.7506419910848878,0.7819005136132674,0.9200530351947948,0.9621884149719571,0.9900645792724442,0.9577033894486072,0.8750603206633583,0.7612111345022495,0.7612131081412342,0.7362418913732499,1.4145753900642202,0.9024459360158306,1.5055627747639597,0.8465428723644898,0.7496962103158192,0.745792596329726,0.8080489294025357,0.7238624017944669,0.6690595199041588,0.8049596208697057,0.8112268832567181,0.7754907997783325,0.6710217236066557,1.092352263468781,0.8833640481084183,0.8860639263141641,1.2470213685148843,0.6723150511499071,0.7159066396950797,0.6453956570459326,0.7053250278299978,0.7310727436128397,0.7279237125762558,0.7600170488441775,0.6883117366899174,0.6813052229414287,0.700983679071326,0.6340112502195802,0.6007244125919081,0.6292447148327076,0.6786411277598678,0.6186249730461604,0.6339136344905905,0.7021073573549295,0.9094263833618432,0.7677985299892345,0.7197386657817695,0.6850426714785753,0.6376202691141555,0.6225712885106708,0.6517709682112157,0.6609459084466821,0.6467883694563646,0.655493844064067,0.6610394253047258,0.7057873288943073,0.6593156105831559,0.6825142648941523,0.8686005043230609,0.7948013298437406,0.7786264263380106,0.8107990328779903,1.0052902763549276,0.9447577770482315,0.9530486497800639,1.420182297485423,1.4828402589243153,0.9951356415842776,0.9705055585263656,0.8973848148897384,0.8838162814331526,1.1844714277993718,0.8683819797389566,0.8445298331355674,0.9615036583318575,0.7956904906333484,0.6844697966015397,0.581734870716493,0.4926905302045141,0.5395515462969263,0.49280870761390455,0.4975112187810321,0.7779476520608922,0.5318387338992986,0.5838160326442206,0.5598653053817572,0.8692674081213947,0.5744422787441551,0.7407634582281545,1.1792082183182486,2.0182613632414226,2.6748598600005318,3.5475769337685867],[0.4013359914979694,0.38997584433754073,0.6096966637144864,0.47446673062989986,0.48449257188928485,0.42037025375169096,0.3244049505138896,0.3275835402897611,0.36744513566138276,0.2606001398420139,0.27400865592583284,0.3763457151034621,0.25209518840611334,0.21532433690798186,0.2750945658801269,0.2451675712367549,0.2998484750629156,0.273031926387361,0.3464011548240646,0.30608144848925106,0.33709178260954803,0.3840913767612787,0.5537829720438018,0.6584447706154769,0.636737156874912,0.4335190661149203,0.35902122666076924,0.25327613164770885,0.29985598523787704,0.2669303247625807,0.33096653372610424,0.2681340174858503,0.3407263903669532,0.3507270241317627,0.29480427472849463,0.2908958004927769,0.2997713460895727,0.3145347565919142,0.29759120897606517,0.3399076402164569,0.7780910289180574,0.4957766994265086,0.5123048810226876,0.7166704587269417,1.0570547513377528,1.8434665523984777,1.6647164538763533,1.1649336886516624,2.351885019681314,2.6316638633406306,1.3507493294311415,1.6362028870904615,0.8125543247275964,0.7786952585078277,1.3665761093349666,0.621263811074199,0.742627548173534,0.5894976938028861,0.6210087147875336,1.1349442947848036,0.613189426223822,0.5846727475805886,0.4930845558222293,0.6206191504351602,0.5030000840535218,0.4015247450028485,0.5386954910191376,0.36019800791797923,0.49332625111013345,0.5490461094241382,0.7311355843216201,0.8435395239972655,0.6602119734690896,0.6793949483963786,0.43624035017648,0.8323753317705717,0.3591443688255522,0.347812307854394,0.3406332097673509,0.35968535919656885,0.38198214212075793,0.39300396836135043,0.8313786350251725,0.38224221992217666,0.4111555925151199,0.27796201684183264,0.3023352744512514,0.44985623863727536,0.30032379285009775,0.3997986798223873,0.3711245660714836,0.5975205932905595,0.48156452773089664,0.3149961941628166,0.29920598011708555,0.4218433525370781,0.5226178344444847,0.38889935334830533,0.33532320207639543,0.45918098621464004,0.31670674605405863,0.40227291108236424,0.28731254232082487,0.3635345365701655,0.3384512276165282,0.3832029173621507,0.4295173521765354,0.3918832764315946,0.35129395288305165,0.5373086536986487,0.29156027263026507,0.259851209249523,0.2432392160435622,0.19517487561625124,0.21484115235096088,0.25672753734600706,0.31676673669672245,0.31003076544239355,0.3639929146994038,0.28730893018090997,0.29538862074270716,0.3010031954414877,0.20887473105928556,0.14665335709833163,0.13622681958786673,0.2472750046495312,0.282903694249382,0.2874277613785893,0.2857513059610057,0.31564253375179757,0.3240657021571223,0.3191180467487316,0.34665819253121577,0.3850891476585618,0.3603692767149492,0.4210005047023299,0.5879503183659657,0.3450015475776571,0.35513611375327137,0.31848240516921467,0.5048223399027262,0.4996360333398762,0.39074401456026603,0.28385332990111534,0.31100567628124626,0.30359612716178536,0.24798410587235023,0.2673962724094901,0.1976942547316156,0.3049430175739327,0.3334250259883697,0.4704212840135521,0.6080599022482924,1.1131107907454236,0.9515515781643198,0.401540273080466,0.2966169182718414,0.29709145115829677,0.2633279930402045,0.2956851850848977,0.26831203458646746,0.2599212134450727,0.2825591689517433,0.26009464822920003,0.3675108292426665,0.40187515663401624,0.43984091653847684,0.5825461470836933,0.5852890599904506,0.5524940120389313,0.4099453419439495,0.3739673178811794,0.3573532515383607,0.29988972025213595,0.24785085471489712,0.31734588569227834,0.32167209604322755,0.4655088820585133,0.3312408745218963,0.3025971660941953,0.4702019051800736,0.29408371525182464,0.3537738223484995,0.3633613579842989,0.3952144802632597,0.545755386083158,0.6464480443693977,0.682401427876461,1.7278892050284418,0.8590738827603986,1.0449787921688145,0.8393992218514302,0.7552764469126847,0.6958888436012889,0.4934556811779508,0.42976885250684954,0.44752907987975776,0.3808981674377367,0.4618028676415363,0.5612540483710093,0.44079592735819034,0.4228498054441344,0.4110264492252375,0.4607950488351881,0.4591285079831246,0.4873327612903043,0.5929783617428966,0.5436219763001483,0.5374150442422682,0.609115049603781,0.6610461236833786,0.6611642022162287,0.6930167295243754,0.8283914762429503,0.8635176626289373,0.8684584008871998,0.8879961534302494,0.7786262181100947,0.6610435666535396,0.6591274434806702,0.6323742254146493,1.5213572253861984,0.8211321822231412,1.4738737303429763,0.6968322141003753,0.6409677225835182,0.6655964520967785,0.7444523519778312,0.6035686921806638,0.5078568610304065,0.7445617868876842,0.6990639438218231,0.6984276031065102,0.5562688656135711,0.9472136326807117,0.7607999412747161,0.7786823556192902,1.1436718576908074,0.536427561773885,0.5565039121772567,0.5511457099451168,0.6403865304788506,0.6794991020902633,0.6809676097247159,0.6818740087212143,0.62308756214615,0.5841954841250372,0.6481746277330227,0.5557712202679328,0.5214482304212537,0.577303951716803,0.642948445903193,0.5435191705100582,0.5628801382546281,0.6716287242690606,0.8702864325230644,0.6789253806280565,0.6360062887487602,0.5870502998022991,0.5361691649599337,0.5167343290342455,0.5341705012702005,0.5503594806289949,0.5330331335200745,0.5210273013424299,0.529173387072494,0.5932559389884289,0.5200491569160376,0.532188472903502,0.751610603162136,0.6940924304491123,0.6681394023003547,0.6874774597848147,0.922786820820324,0.853400364107548,0.8635989384047081,1.2660568634394431,1.384777726866227,0.9313360300983857,0.8770027904020414,0.7966879105219289,0.7496085292059077,1.049712662621886,0.7608652415500843,0.7799819986002958,0.9395678412121944,0.6872436329293327,0.5616880270825368,0.4306616845662185,0.3734137101343274,0.4034142811365486,0.3898447101102124,0.41613823016302076,0.8263496317100513,0.43908470643318875,0.46637128384660037,0.503829694105462,0.8194483848732987,0.5141098932310353,0.6702939977866875,1.225062262624967,2.0580641309475114,2.6458634007410926,3.4481524807915678],[0.44507541409811835,0.3960261211223456,0.5776553331161494,0.5082710754033963,0.49548679443315147,0.42601059730474466,0.3271178986507802,0.31124986594855986,0.2992630300894043,0.20997643147360298,0.22206839689505195,0.33397809956068547,0.2676553138551863,0.24188462755577372,0.3325267612695472,0.29186004427191714,0.3796904754268705,0.3773122943249084,0.4699828842838202,0.4360894201464741,0.4788917170751631,0.5481338214281648,0.627477117491224,0.8018630419544898,0.6148125768685061,0.5413785330965529,0.5054626105936965,0.369266121445208,0.3866197349002605,0.32715512130327784,0.3703519206580632,0.3145234470180568,0.3807609897127486,0.41005593025018144,0.3518252157815074,0.37569972219971925,0.35124701052078516,0.45076779574397874,0.4413985264981231,0.49450084397626565,0.9103452133298445,0.643806424548464,0.6804755119111336,0.8232554304227137,1.1682760831159176,1.7848268269998546,1.6277220638843333,1.1548162228536178,2.2707285348875255,2.4306182638705183,1.2951650150471,1.585331343884143,0.8475016764888681,0.8550630594492021,1.412308455336994,0.7035664471387206,0.8046959355499651,0.7614162059644012,0.7345855080098006,1.2296387903049024,0.7599293516126742,0.6659002017097913,0.5593359487268927,0.7591467399605727,0.6436245894320073,0.5156913445068851,0.6395021456935069,0.48239999784382753,0.6457866407807534,0.6303850682600981,0.7965730496930925,0.9161012452052879,0.7200004826851496,0.7996878367720823,0.521759975523198,1.0038128071388872,0.46923279257655387,0.44202240006803883,0.4201200411828869,0.4773625419638677,0.476724384907705,0.49616881257463175,0.8805650212949323,0.4670202146685554,0.527983457368904,0.3794199910524014,0.42860278804776053,0.5384688753156514,0.3948399441503689,0.44294412650925713,0.44871938914237797,0.7163480914860325,0.553101055424565,0.3863453158140664,0.346027622252685,0.4720663179551746,0.5569003419598283,0.40058042741697003,0.34679505190310533,0.49720199265273934,0.3314320721024981,0.42292584279771317,0.33017856887156977,0.39462700672305784,0.37035247147972333,0.3973127741010971,0.44035963441479353,0.4126268565869014,0.3712854008112079,0.5495488136145549,0.3072369148307511,0.28892327466697504,0.2938382167163146,0.2904386069814003,0.2937571607173779,0.38003273991613234,0.3996951869251095,0.44392593587686946,0.5224673336613485,0.401116282195466,0.4056968302186288,0.34189435565798043,0.3646157164494931,0.2867523564729254,0.24024330472283664,0.30310437026945836,0.3402086124254785,0.31365885449036013,0.32650950718982225,0.3573678405825987,0.34661939695133703,0.33363278561598403,0.36874786587160224,0.42200896382047304,0.38423478140880857,0.42511349136453025,0.604493722385674,0.3703124121188601,0.3816966004787568,0.4127348365945572,0.5956752446928334,0.6203192092945977,0.5263491655923602,0.41017526897030626,0.4079524973245034,0.4127496569093712,0.3458805103847657,0.3402582948663606,0.29363632206743256,0.3692465434274791,0.36089780017396733,0.507159407333333,0.6092898517623387,1.2960073270078483,1.0626273633689296,0.4210516373127488,0.2976229147900129,0.3503264962762759,0.29795423505654217,0.3514593280102426,0.3564610033128042,0.3506867712415201,0.35112347420354867,0.3509566047970725,0.43365507277211407,0.46326344650668794,0.4898736274153589,0.6244615458469559,0.6034759518041352,0.5639152724558805,0.45355232834672554,0.4211747221709772,0.41043722599092375,0.36605620588473275,0.33890707255458186,0.38178426373490887,0.387464059258633,0.4787548889277765,0.4189569072564434,0.35725161989289733,0.54967554112398,0.34002110148250053,0.401899623178429,0.4006102452996151,0.4559975298466962,0.6423609387537098,0.7622201250034114,0.7596848754907571,1.8626182143638768,0.9209652635150583,1.0990858657353386,0.9576678995895529,0.7772882601021492,0.7006795471030637,0.507687205511145,0.454129413737614,0.4682154627533778,0.40095072623874434,0.47675272341758757,0.5597192214266741,0.4470418777856108,0.42323517603297756,0.41409190454257794,0.4736856389817241,0.4611617438549314,0.4834675797239685,0.593479991040009,0.5522475448315464,0.5402085839087242,0.6083535903888381,0.6786085408115676,0.6809631637874167,0.6953369519443942,0.839728320910316,0.890834043146133,0.8842923793110735,0.9224710425550812,0.8090352726938174,0.6804843839107534,0.6881082230048933,0.6594994362463722,1.5382339575377788,0.8523518324042737,1.4668877346940628,0.6951281837257884,0.6496984852104613,0.6721842544025898,0.7517806178031328,0.6223017874485167,0.5244007239066868,0.7433995324817652,0.7126899961460468,0.7116968777827062,0.5715194504842969,0.969060505210062,0.803247131377694,0.8132440420000826,1.1791099835244234,0.5554216261103387,0.5759322834687661,0.5544944329011042,0.6435204760278832,0.6919340486469692,0.68730245386578,0.6936243176080155,0.6257796562725431,0.5765566360758393,0.6786495826527553,0.5634323003756792,0.5213302736539733,0.5944815388201063,0.6672105012478787,0.544171444892952,0.5674067968309059,0.6984943954838877,0.8839408493739221,0.6842341061915448,0.646659251770291,0.5942253367953838,0.5452096448338047,0.517817452490172,0.5380933326464994,0.5604909263003676,0.54592514451828,0.5321285648879208,0.5480567219484486,0.6130329361464805,0.5372438864048753,0.5610873138656595,0.7840978929717843,0.7232417060374015,0.7045537669149906,0.7261139469245902,0.9853445112341414,0.9060489436232827,0.9106250713013564,1.3314220342075622,1.4072846006859727,0.9878250224511651,0.9284592932888223,0.820475445559971,0.7561729078678037,1.0623805376263864,0.8053260702497516,0.8411114984077999,0.9857836172502321,0.7282706841327048,0.5802480468462422,0.4392249802190913,0.3850119412675856,0.3972361966586598,0.39430164344298146,0.42636954129047633,0.8914938807923027,0.44101004302565794,0.448382121448663,0.5291826254652258,0.8088327181321328,0.5134648018441289,0.6630604015708994,1.2776255060959438,2.121163576760193,2.6514313365617954,3.4696321634782685],[0.44186946237677005,0.40140640641075104,0.5599537883584583,0.4918493164140008,0.4941722552131605,0.43880294081920357,0.40125854497176977,0.3183175557660354,0.20726391174978923,0.16952489845941984,0.18777510032372988,0.30114025849470377,0.22271043779102245,0.18751179928321302,0.2755032393469973,0.23546280331779162,0.3064214223490632,0.2970878257407876,0.3669152759922279,0.36363046440085117,0.38025437220242425,0.4239877169912616,0.522414733340574,0.685014273381969,0.5401443813179275,0.44495983860831706,0.39018426791925015,0.29000315696203605,0.3124756394231871,0.28735389689758106,0.3142204857629054,0.2689494593927177,0.34705686800582053,0.3430715477630915,0.2907225114130698,0.29707007480436465,0.2984530963728965,0.349732962634247,0.3584318255177708,0.38937386642534716,0.8120698512749585,0.5505546848694158,0.5680447243047764,0.6908518441629998,0.9762488977576471,1.6193241960057438,1.3769138128171734,1.0534724108928022,2.2757213228940794,2.2556636246542014,1.1590381888978984,1.5356055209345958,0.7853407521092993,0.7804246304602679,1.4112327378629543,0.6154783944221652,0.7549484891140028,0.6523781172689777,0.6626714195707405,1.1309095423576407,0.6544482741840307,0.6255996966064011,0.5410177239525934,0.688749999790632,0.5100006661085894,0.45380534656158555,0.6098730047070775,0.42056589250850535,0.5657490333644568,0.5738955962995527,0.7458451719492982,0.8630565721567851,0.69971625646481,0.7240970224130674,0.4492941119394364,0.9131486590139167,0.3739372120068421,0.36616077373552275,0.34505302464895593,0.38578113968557937,0.3992300525803945,0.4618314756501242,0.8887534461119557,0.39088501084038296,0.47878865648038,0.3217827152515733,0.34763517307364955,0.47374553249323004,0.3164116542729349,0.3951962489308341,0.37604656336068615,0.6367728230505698,0.48627058845597837,0.3266093857669431,0.29064853973924104,0.42615566505228447,0.5302712402438752,0.3641125513054452,0.3204935295890053,0.49663056440414083,0.3282660349027372,0.4259099774042674,0.3392379593274521,0.39455790099704596,0.36600479798373065,0.3997916699632872,0.47702688743452115,0.4349306666923322,0.38786156527656407,0.5873847082266039,0.36920532610871754,0.35286578081540093,0.3628033448261161,0.3414167631981862,0.34570724391784147,0.3009027846726559,0.3335351884771836,0.30879218693223576,0.39339142484194145,0.3369730443956651,0.31593554997350926,0.2671141603482609,0.24781707628071553,0.22333164955056817,0.31202226981209197,0.31930948736187276,0.4708084027560576,0.35757045661282383,0.3835431109687192,0.4298190817390154,0.40427382848248167,0.39834105671472797,0.40403759397723116,0.46486274136835326,0.4176176734524826,0.4377638381024726,0.5674000934115151,0.34577600726128843,0.3552830319608564,0.3221846450518459,0.4607479893236604,0.475483171292891,0.4177740514174824,0.3110727659838226,0.3106760039951947,0.36571670516670096,0.2899321876231938,0.3189266054349732,0.3042081006916206,0.3828764315648552,0.3963949112485755,0.48654236354027136,0.54861322526707,1.2702232478246498,1.0506863257027637,0.40512309068619307,0.302513497731143,0.3601359032956188,0.29630083942339114,0.3487605761128102,0.36007321695235256,0.3158656267123452,0.30081655272807706,0.29653747753819876,0.3930753558706448,0.3668363622533738,0.4007960741786478,0.49301403995436366,0.4937332615817279,0.4722697842526358,0.38637723349937225,0.3774040165448732,0.39269961698021316,0.35425085747698537,0.3070523430766828,0.359952761381723,0.35951587762524756,0.4899397694817424,0.3796213898396817,0.33943955821834054,0.5022206011272271,0.336991405122625,0.3837794618850917,0.37814591047827933,0.4237176762537188,0.5867176758777147,0.6769135983855755,0.6914318802293136,1.7207838353449374,0.8285020141273333,1.0940496323391249,0.8740786853199712,0.7251341894548918,0.664421891942264,0.5124155997208004,0.4493009905197728,0.4592161146188944,0.4328026242429865,0.4710256416494386,0.5962658106037844,0.4795417234660554,0.4782848704823216,0.45976846083384726,0.4807560333085635,0.4806494518164339,0.5070950988895387,0.5769075200111284,0.5345078319143692,0.5468133439899252,0.5840542540197509,0.6269123536617758,0.6289867559032396,0.6652768720657436,0.7938320066563481,0.799957564272836,0.8024405289593809,0.8395382027082444,0.7467269757486634,0.6417249110465872,0.6328989316041439,0.6211161421456347,1.7089788478244958,0.8347716323632601,1.4511849931538194,0.6936631423376086,0.6947773503180705,0.7184590239201089,0.8244136965656438,0.6362979296323227,0.5502463096036531,0.7243519575172264,0.6610240479475289,0.6568609952690048,0.5241442865896413,0.973521676546998,0.7183746647171748,0.7697094098110064,1.1609852145599031,0.5269066725713738,0.5949139288334254,0.6003131938337265,0.6760135402176876,0.7561130357011747,0.750925614190612,0.7716806792585719,0.681498464863254,0.6335685664628091,0.7695552590002579,0.6352879469800772,0.5694276537531386,0.6413108159956145,0.6954965559424151,0.5686865515057159,0.5890372418336446,0.7080757836239441,0.8537647973865812,0.6738720151063358,0.6407541729450189,0.5847910326118331,0.5495418090046751,0.5446266734101636,0.5373676913354646,0.5583516659308201,0.5349895365741011,0.5346202229312168,0.5239461401939487,0.5742324933390636,0.5190251091188653,0.5339426526117943,0.6951474706707972,0.6745992176245044,0.650339644682002,0.6588550308104049,0.9062738726071378,0.8482606968927826,0.8553822885407338,1.243122426672017,1.3695543798964747,0.9144627618249955,0.8629637272814297,0.7759552480571572,0.7234953006647407,1.032581497918219,0.7543471807063225,0.7774357465130843,0.9250012831511442,0.6811949553737157,0.5674596010186735,0.4709785894197717,0.43941933714931763,0.4756433314694886,0.4467848736718375,0.49263903120325414,0.9720258720268199,0.49477973462537905,0.5187274477351267,0.6532582342875034,0.8207455374504845,0.6106845265373002,0.756854999155752,1.5155986829370367,2.2614578554982594,3.0258264117005798,3.9849789870898293],[0.46111812515371203,0.38144703172451155,0.4644225916401124,0.43967560161625757,0.4177901890214333,0.3608213565875177,0.28510732412320344,0.216099848389285,0.1953504534896052,0.1197304076371842,0.19002151613845733,0.3304344547178383,0.20766186752492885,0.16245757432060481,0.26342329136972537,0.22399548977842554,0.30112335583640876,0.3027624696250823,0.35184057914110567,0.364752202431896,0.3698387377375546,0.39003165335514567,0.49503730632208354,0.6674457930930725,0.5144631135269847,0.42335497122300025,0.35889417109996263,0.29839814783331925,0.3069716983825198,0.30347934259372067,0.30656146557272296,0.2842724625395185,0.37556900693561307,0.3451055734798105,0.30060446971964994,0.30151973126296255,0.29781956529782805,0.312281129022277,0.3169043858463376,0.3407950143985789,0.7569245714522256,0.5146195640294704,0.5126654256656688,0.6475842252366856,0.9088665790787243,1.5944738255069169,1.3059173850646488,1.034438250777808,2.319378859603831,2.2449373566947077,1.1515100205714854,1.5222988999384448,0.8121104520280955,0.7750772161413053,1.4915520926710841,0.6024322120131514,0.7492690016725969,0.6008641898880102,0.6717972088869604,1.0286159524272749,0.5948785495983925,0.6441200565833124,0.5849693382958188,0.7020552469387782,0.46805673879065773,0.44857247794913047,0.6187939867993275,0.43103322075318773,0.575550958112672,0.5497913962297956,0.7487795478790634,0.9161216722898279,0.7338057610972913,0.7087788720284653,0.44484819342987114,0.8968968714033921,0.35703992424087855,0.353234144697031,0.3316742154923891,0.35684242478495287,0.3954340227815153,0.4546423579333995,0.9371011611059431,0.3949692066263077,0.437893529894935,0.31959263962234874,0.3149994708879353,0.4729084650624422,0.31731001091684435,0.40418075209235943,0.3545025822928879,0.5722319390937511,0.4211791203349812,0.3005730040015606,0.2748997931128278,0.3910739460402271,0.44817958197234975,0.34509227719674257,0.32588430488204634,0.5762437739391268,0.35875225192047056,0.4204354376158144,0.32715439165827004,0.38373065821380203,0.37011534465194423,0.35796511146766563,0.5070160223410957,0.34051542352739533,0.3356487778264767,0.6141771998177056,0.2730735305216632,0.2617175984413835,0.24587394279607663,0.29186584834647805,0.33922681172369173,0.31326581168970896,0.34901856799450065,0.29918023510718234,0.36441112288563166,0.3709897809439445,0.3179202716543733,0.2545201056948592,0.2546576379430356,0.253411346512113,0.23359947133895598,0.27238034303191466,0.4178844283919283,0.2918642511979914,0.29264423728664785,0.33187167299747006,0.29981315209390896,0.33082866993060694,0.30767109461905057,0.4227218042873091,0.34841580750437506,0.3625919665346316,0.5649032074617466,0.3154695294638625,0.35423743890291853,0.30954341139583036,0.46280747035110664,0.44793295217224044,0.3954293068996238,0.29315936218683547,0.3098764150512725,0.3408047271017441,0.27924000886495476,0.28029283150822754,0.2505952124875288,0.3071116631937172,0.38112459318872766,0.5075572153230138,0.6382494837174617,1.4479699864519944,1.1277162045317688,0.453615355792806,0.3003025736529845,0.35111900721167594,0.2731534701304502,0.3363333080029459,0.29277784853397504,0.29230023042718545,0.2628940565976792,0.26099842057111383,0.3776213299880682,0.3338068152085444,0.34728924510614234,0.4552332515124342,0.4763201363627782,0.4621680444024862,0.35038540546367375,0.339967265119935,0.34071374542242094,0.29648739489998593,0.2543031795662192,0.3415208397744179,0.33267374788417375,0.5700654489932907,0.33325363911157346,0.34752461798822376,0.4246955916546734,0.2838766968835366,0.3162022308436197,0.31078729512106085,0.3539067397474423,0.5330148292975311,0.6155618079754749,0.6521625688445898,1.625944954726812,0.7797905995356817,1.0944344511159514,0.7627462353227686,0.6411176296306336,0.5797752148426243,0.42160061307579855,0.3494855018932511,0.37442211000300835,0.32226825495701394,0.36619648121994086,0.4832664650948297,0.35694049199466843,0.37440728784490807,0.3452445475213049,0.3787298290906108,0.39773768789031405,0.4340909941820057,0.515032042783884,0.4581731506484751,0.5033442962972773,0.5243146921901177,0.5721795448032533,0.582762336571584,0.6212296827447881,0.7419205334911567,0.7451385924785318,0.7382369625396263,0.7856113017441336,0.6923860589605734,0.5913308394865864,0.5830851033346439,0.5815583579339008,1.8217609192721294,0.7939020866301216,1.4809036267115263,0.6375659811480859,0.6405069911581458,0.673806063715694,0.7946495894982301,0.560569734287595,0.430279750435517,0.733052209601804,0.5995267213481991,0.6045273215510546,0.4426562496850259,0.8707569069459542,0.5872090905993699,0.687814343879934,1.0571699911777253,0.4316639103715233,0.46096953253379214,0.5234988222592619,0.629867646095436,0.7292236691973685,0.7595877719211047,0.7440158432390124,0.6566742176834902,0.5954204348510618,0.747248257884786,0.5958414011006932,0.5194384995634131,0.6245134622511344,0.6831094585503447,0.540221473390721,0.5672852332714474,0.7119145433166301,0.8162466960448509,0.6394377981041836,0.6227529885346225,0.5595832964478475,0.5190665926492382,0.5029537554484272,0.4909392200152572,0.5176047061524425,0.48664194601276345,0.47670087545475576,0.4662104405483079,0.5289527079964005,0.4454767818143998,0.4513327100300527,0.6439115185358211,0.6180142856996877,0.5771186338998595,0.5953619389192576,0.8366002871980183,0.7688940492476061,0.7869861882988237,1.0692842102511677,1.3008115936085816,0.909209376927042,0.8149884496678247,0.71546210179737,0.6560290083198785,0.9708363362906743,0.7177080458896297,0.7407239664636409,0.9002094294833277,0.6077946563175759,0.48632355314727455,0.37758642027185135,0.35373141620565085,0.391811646500912,0.34552165529447987,0.43722425629769424,0.9737766454236364,0.39560779457405676,0.46349418193158665,0.6285055982321734,0.6906459804857006,0.5863539070418838,0.7578534668832914,1.588136664984446,2.295110708279043,2.9809492583713175,3.9322352508063956],[0.48906894844468773,0.38766634903060443,0.44204546979401793,0.441783289341355,0.41309173253624093,0.34419945454729034,0.28312454244830854,0.23633971321351852,0.19248146902515192,0.17939667635335424,0.1383514394839441,0.29215041665996533,0.19483495360303946,0.18867591730144892,0.30455140520713025,0.2501197111427082,0.3242075699026656,0.3505852033651476,0.4113966484348612,0.40571800471764174,0.43224522992489317,0.43298005285852503,0.54572904183335,0.762472627858395,0.502505487287749,0.46667590164341055,0.39868452907632773,0.33012594419681535,0.3266989629410343,0.3345661592969297,0.33034365445873676,0.31109993357322885,0.4184119615835792,0.36790359286121954,0.31824566756724687,0.33399024924414467,0.3195208910428602,0.3554771146577747,0.3497074262655673,0.37649929111825814,0.7603108612786059,0.560424144891647,0.5567980175975237,0.6498874827161701,0.9240429292039782,1.4673000699289762,1.185765944309907,1.0034865343666526,2.2382371099203544,1.991080815601174,1.0670044331922022,1.4586310982476334,0.8620422472537344,0.8153013542133933,1.5478954314056488,0.6163232944731875,0.7351124888595902,0.6582766932388953,0.7214235002346341,0.9901820148728263,0.6056513892824333,0.6662218673038386,0.6161455518516985,0.7788611261045298,0.5099713326793871,0.48864735602715254,0.6766593120070551,0.4830601870757801,0.6620754690821271,0.5902047878020554,0.8105104352275422,1.0057551711126174,0.7773223699603902,0.7692943423543547,0.48430856824029195,0.960232540053323,0.39547703851993365,0.39347767083962537,0.3505252471717437,0.3840413947873224,0.42354705450421815,0.4894963669983488,0.9874350397934771,0.44378465331400535,0.4708514230735141,0.35037470394013587,0.35341860859549,0.4852610724660299,0.35698440568773954,0.4269349330935272,0.38432215906367273,0.604352388220297,0.45243673422317865,0.3381514043256652,0.3102422268697322,0.42714484849725837,0.4603508809269275,0.3648223682923831,0.3535882905884845,0.6123993143325536,0.3712957333152693,0.41974249193818847,0.33989111038102554,0.3929469226039273,0.36170403741301166,0.36338779671907084,0.5256114289133164,0.3419044959854858,0.3303514312132771,0.6032770792124719,0.2661320300118863,0.2741916075334888,0.26413210649126184,0.3034791737936857,0.3853387193652961,0.33074050673340166,0.3624320524007494,0.3262739157673872,0.4256033296716642,0.4472540603767655,0.35810291619267154,0.3069247379852602,0.3040037573799086,0.27904693793561025,0.2427954597078703,0.2729775502658541,0.45736942605866254,0.30003131096733365,0.3100823600473694,0.3501355809745882,0.31072817859222174,0.32927996899024725,0.3175947300488867,0.43855864539358697,0.3614187611578083,0.3565575127235468,0.5357531641584448,0.30694848488170307,0.354980234016715,0.32746688156929216,0.47236314030151333,0.47697071422426046,0.41854994826450453,0.3064194717843891,0.3066154024741377,0.3547103159115301,0.30529840463753877,0.2810658790923145,0.2844918136543924,0.3040231164523154,0.3830074732311245,0.5312283840553151,0.662066768889312,1.5935193002542822,1.204195039067127,0.4997580272711396,0.32176247428230403,0.36519312064396897,0.298452564640387,0.34442451598410534,0.3193980411352488,0.3172396460161669,0.28591745849030864,0.2994138734094562,0.39464727693932034,0.3510959444856478,0.3438020347668934,0.4454473158920263,0.45599480270572573,0.4485114232340696,0.35049937251723884,0.3413924433414164,0.33604799152892423,0.3007065435233797,0.2716885410522519,0.34995096176526175,0.35347912112582236,0.598554761099316,0.3548202137091392,0.37287583416035974,0.4156088323705684,0.29509678918329457,0.3173886239800782,0.3265172602648298,0.3631212052255221,0.5417177040994893,0.6057206817590275,0.6953021109339863,1.597015787554402,0.7708183486811636,1.1302463311758684,0.7870357751360602,0.6396467558790186,0.5628964403923408,0.4218663717935138,0.36215438746996603,0.38026567924702825,0.3315247242621607,0.3526920951414384,0.4697405513745591,0.3413312195958133,0.3696292611993911,0.3313539408236001,0.35833157935214593,0.380184952189929,0.41624560836184155,0.4964885308136414,0.43747942295867576,0.4859959446454882,0.5027558874426723,0.5514710494836622,0.561715751574497,0.5999926404668796,0.722416720857866,0.7185569558601235,0.7209638015905906,0.7582175872711484,0.6758566631741384,0.5727420425579214,0.5592329998148058,0.5693809382124245,1.8922721705682215,0.7915412640885624,1.4606640409681573,0.6230156164176318,0.6583489871130538,0.6919808032836408,0.8278718141440709,0.5601124481273865,0.4248113585830708,0.7361869678058129,0.5965398275562523,0.5733957341512191,0.4132964970038075,0.8845196147119107,0.5532665366573621,0.6759546297507149,1.049806244234249,0.41196078273021136,0.4723230609656962,0.55283255576702,0.6439638206116283,0.7624020739004252,0.7871585703093893,0.7752540205644272,0.6728880314337411,0.6063308741639466,0.7846731528172618,0.6070188141409103,0.5169063067058141,0.6392583999844956,0.6888158145135902,0.5385280534323501,0.5732392068256517,0.7188066272864024,0.7910568136203887,0.6272177279887364,0.6178630248858122,0.5487775527972097,0.5098669030829874,0.4966156753691169,0.4850865049696243,0.505835969528261,0.4672347206832618,0.4656986371009305,0.44833727223812064,0.503615428027308,0.4232999453983036,0.42394603086783833,0.6192214099454859,0.6020608509809638,0.555942753514425,0.5763020282227204,0.8168916747759724,0.7594658353712187,0.7843982058973499,1.0793946464922721,1.3059356780952052,0.9048901890070845,0.8090030443763149,0.7050570190289015,0.6456858925031763,0.9663372301980245,0.7170395605239559,0.738768581324192,0.8935920927275331,0.597233450226649,0.47613007370211735,0.36812468502558576,0.3467215273524709,0.37825670882530765,0.34225821834446346,0.4513890118432203,0.987345032696844,0.3922720935605248,0.4544243577245682,0.65815853306004,0.6242206334828767,0.5660010089456602,0.7597187421949289,1.639299125052791,2.284203252472813,3.0059953154482826,4.104721434309573],[0.5365111374851114,0.45030302299917785,0.5001292684313973,0.5278165673687921,0.5128782074699166,0.4316594142139583,0.37973861349672755,0.3236816371717334,0.2749094282587668,0.28788711399024924,0.2751044728045018,0.39441621828296314,0.30642524510179253,0.2850253284336927,0.4111434384692625,0.37102352672642086,0.41507024646485474,0.4391163218643137,0.5250570144482057,0.49834477576887504,0.5524904233979305,0.5611942228977795,0.6821615511973422,0.9106714012414339,0.588039035482516,0.5793524127591707,0.5000947720333844,0.4139254199365094,0.4031742209864242,0.41590245235470114,0.4311667988987438,0.40267783678893027,0.5398596232108591,0.49458823080570513,0.40853379306629267,0.43825842592426645,0.3998054017396879,0.44838252813783686,0.46459843820613683,0.4771681868209948,0.8622206707100181,0.6519585904922018,0.6554403038784079,0.7139250612630204,1.0560033472408856,1.4308148815158355,1.256027899347922,1.035146560686597,2.097088189967036,1.8272862122205706,1.0319600939483236,1.3982378795782784,0.8941206429990617,0.8673695156571445,1.5403287905725331,0.6803352199624154,0.7599197205491303,0.7749486362017031,0.7840801403239688,1.085173806902493,0.7119937634432724,0.7232749064887593,0.6656532743377701,0.9048935046569292,0.6383531433847919,0.583935808212463,0.7637941357573711,0.567959898129214,0.7944961801973133,0.666546843143773,0.8488458933273347,1.0649279308806028,0.8042153994842205,0.8873194106129845,0.5757893487598277,1.1288542019840766,0.4992404629751453,0.5195369503889765,0.4607613277875809,0.4892352537314491,0.4958433691467106,0.5569559318542806,1.052726538683439,0.47245489019853887,0.5565334794150707,0.436501061555009,0.4438785228830301,0.5493508548899487,0.46427288577228193,0.5293923254409129,0.5148634580899514,0.7573089931475984,0.6100041367628626,0.5123599220839844,0.46131655478356626,0.5926222548281667,0.5653300710393193,0.48504461435938795,0.46890237058057227,0.6766752159284987,0.4511708520728774,0.47969800583380523,0.4279151208017964,0.4756648148742589,0.4268478051330952,0.42882933375854615,0.5792016594990379,0.42292851241480467,0.42763447581846814,0.6578423273296906,0.3721548250938741,0.38461604533356575,0.3646288532561059,0.4001798302174092,0.4552714609298124,0.434279195814364,0.4442564487204859,0.46670297927935606,0.5962072013944262,0.5253296599062701,0.47041559058699306,0.4539864855933389,0.4783116680587176,0.41256353523545597,0.38140544718476116,0.40987958757729814,0.5043552280726608,0.39182226817811844,0.41312186986573834,0.4478426577479191,0.43923390696007525,0.4257428041200617,0.4386644946792527,0.5138864725601393,0.46052748865506904,0.46192854745837547,0.6190604697924518,0.44519421302173867,0.4758983213796718,0.45890670538675726,0.6085345726650461,0.6515092356363325,0.56839510207687,0.4286743979231129,0.42414521769611496,0.4442852103491113,0.3968059902272584,0.38099916291234315,0.3884604928354939,0.4010324430314534,0.4522003982341545,0.577202720495428,0.6875889507623749,1.6260675444872574,1.2366393325449214,0.5404876737502923,0.4056799558734884,0.43851956261200625,0.3907487609494223,0.43159985740441903,0.399857343586348,0.41636098424754714,0.40384601914597146,0.4138520558996039,0.49227098460122387,0.5030289262310168,0.4829877863294873,0.5847514905831647,0.5643519942041715,0.5500003686150575,0.477877596887819,0.46113039074809115,0.45423374609481726,0.4125281304000798,0.3846202370226242,0.4399005027844231,0.4501939190293216,0.6354686663788344,0.461693880988707,0.4456738014454691,0.5228705493747333,0.39581777929152145,0.4288727390376739,0.4290377928483759,0.4628735141195349,0.6217003413060287,0.678622242379244,0.7970104702907409,1.6802637234548479,0.8285736993853817,1.1644711523843845,0.9399945416500227,0.7313567978432808,0.6518949811149393,0.5210092047293639,0.4761896154223833,0.5154551877706559,0.4565998373625604,0.4923081133767451,0.581238440554361,0.455806284379102,0.4545192066319598,0.44625735465429145,0.4815637112448536,0.4787065423706237,0.5053494174478609,0.5983552219823405,0.538656978725634,0.5719450436276091,0.5929949948742519,0.6374605594772562,0.650703001473098,0.6827929736177415,0.7967450614426271,0.8269984291424566,0.8242517545211562,0.8696815943579514,0.7880772283826335,0.6848730953495706,0.6760419938922227,0.6680843000819728,1.7981463248323637,0.8540541994983547,1.509338521652004,0.70122924096898,0.7038220410643338,0.7221736307820206,0.8288446476320576,0.6283560598646292,0.5188080949892386,0.7692970344594215,0.6723770507250489,0.6581375669039485,0.5328822188932862,0.9714206541280272,0.7067473703648253,0.768409594267314,1.1526147668997686,0.5452704516526798,0.5685381245775275,0.597173185252652,0.6652898857435887,0.7929383519931545,0.8075673244543196,0.8124517616822744,0.6975091600894846,0.6404966161746183,0.8225554548021679,0.6545641205229631,0.5865935034440273,0.6791471638369352,0.7269140934961241,0.6016341274041086,0.633132949744679,0.7728804127598433,0.8534039519973003,0.6980138419983934,0.684773788787547,0.6232137068539235,0.5858749588458099,0.5666719127783547,0.5695889306527036,0.5879140044401474,0.5573298869347337,0.5692065588559423,0.5571727003362478,0.6112961572383965,0.5483856200846798,0.5578030439064425,0.7365762104380794,0.7075980307968422,0.6808691963529744,0.6801965800583891,0.9325495283871004,0.8773268336712838,0.8934313535457665,1.2203515201920898,1.3864385053781452,1.015816199445687,0.9160254975797502,0.8030657950698504,0.7294305859501828,1.0230008438845295,0.8227198061652173,0.868892264029615,1.0178281747321916,0.7325574719234997,0.6005580075621231,0.4857204771766402,0.4667588489616551,0.46211644665883755,0.42137905826840855,0.502830791487242,0.9853795376836757,0.46160648123976844,0.5179596221459548,0.6688512684671077,0.6840010780934378,0.6093943022963905,0.7649529526802161,1.5910279745892382,2.2307514920362084,2.844880866667645,3.8831611861593784],[0.499894356143367,0.4103341716028968,0.4508392771366232,0.4620735885481656,0.4296266530731999,0.3544337768841596,0.25324727287488735,0.2646192724154467,0.2536150484183577,0.1646520495014296,0.16713388140573873,0.3289628657076499,0.20325183516693698,0.19798027872816523,0.3315097480725236,0.2718884007254963,0.33406008051382174,0.3675949990614838,0.4416909308405091,0.42011239172805626,0.4626796011500023,0.4705692536054507,0.5844760933264594,0.7950940350734323,0.5347905612497282,0.49829986779935853,0.4182698700333789,0.33370879253139873,0.3348953247634219,0.3445691592745063,0.37037563487742,0.33814337559411767,0.4573181076134557,0.40044831346331833,0.3429141712918328,0.3623871770661735,0.33490816778432186,0.3567091660847663,0.3566309122977551,0.3781267608868628,0.791446196176188,0.5705797723663968,0.5704749440678757,0.6675278786949354,0.9826572133131544,1.5223756729509967,1.265084427241285,1.0135524334618091,2.2236735350538073,2.0824555993929823,1.0828887910773006,1.482948291720141,0.8322256237936739,0.8078353917064457,1.5328398017942906,0.6261093901853209,0.7405461296910919,0.6695343885234928,0.728140815710228,1.0293320600961384,0.6362345602457432,0.6820510262882362,0.6302084312761234,0.830399047289412,0.5501934769513471,0.509281284834133,0.7044834680686003,0.501532437240246,0.709722440731945,0.6063237938110692,0.8225102515021611,1.0538675436639744,0.7801189884085142,0.8268459159758184,0.5069175418169322,1.0323559841018832,0.41455394678241136,0.41676990077019344,0.3751025247057303,0.41096044661391956,0.43643186156869823,0.4854942588817883,0.9893197018911699,0.4392378757632521,0.46473133329219385,0.35214370643403514,0.36064722548582256,0.4940139796145431,0.3816425240646987,0.4495452289718009,0.41515434106069793,0.654951330472686,0.49112947964198345,0.3949877603525449,0.36171687383283896,0.465263298759617,0.45852019789654846,0.39488070828933874,0.3928459530694076,0.6806859821626351,0.40933192040272054,0.45308528909819307,0.3523626013950997,0.4048390950277659,0.3745916845584594,0.3680840873164846,0.5364792124058281,0.3368918089261123,0.3692042469788507,0.6382689810865374,0.29700038386798555,0.27743340330492294,0.25757188750868587,0.31659776009423224,0.3569300446346192,0.32855700688351136,0.3652790346417297,0.37130686221975145,0.4820639676746505,0.4289264939247115,0.3789130011676975,0.3267819234807192,0.32104812090312634,0.2915976348056313,0.2847532632770651,0.3063668531086128,0.40070813151005236,0.30402100496835915,0.2997525286085898,0.3413654020726993,0.3114864596648036,0.34071829200117376,0.31701722459577253,0.4339157099778952,0.36722131626884297,0.3871333786653349,0.6075412977017244,0.3495339973459239,0.3765452445212944,0.34911357841694546,0.5325938718563034,0.5307246628820519,0.4587621115921647,0.32742413511434926,0.32876561670351395,0.3710589975428271,0.3081616846011347,0.28174609792079314,0.2771555247564553,0.30438733088989595,0.3887112724762091,0.5245451976340402,0.7521148063857787,1.7107713357664143,1.2180386901494291,0.531865945070824,0.3375207529484625,0.37249090333389473,0.30395181606448307,0.35456343546396146,0.32077603221715323,0.3090892594616481,0.2960058558545207,0.29460783763356724,0.3978175383920974,0.3818597151039732,0.3980003187124855,0.5203063943501014,0.5256417250267413,0.5114713623309917,0.39123786385123793,0.36435961658699884,0.35832872177020536,0.31853914510053954,0.2734392703568515,0.3462256682976239,0.34626068304300206,0.6044326942189603,0.3510278702828374,0.36779655560315694,0.4278608173800396,0.30275614134684986,0.3374015257804512,0.33048872235518517,0.3706271672071254,0.5404912839876514,0.6164203156513206,0.675229128476102,1.6605863867990407,0.7875259739911883,1.1257500311215713,0.7919427690919991,0.6804337870942502,0.6178126985685602,0.4422847865853466,0.3841948826670213,0.4116477600385059,0.33814448967164307,0.37651524122465957,0.46415414529300075,0.35509132862133796,0.3789428529758375,0.33859017219360465,0.3827459479970682,0.4162060510373779,0.4504612286761587,0.5351229322522388,0.48279141881841003,0.5406898954669057,0.5400149234640885,0.5952645710327381,0.6190260638149269,0.6489431360544377,0.7522764724793357,0.7786421526100544,0.7575414765036926,0.8304005066991741,0.7306097907898201,0.6257524273608365,0.6260894393445328,0.6293878462357131,1.8368809383816067,0.8121267362128426,1.518822313571304,0.6424745777217034,0.6588131044756109,0.7089684559316902,0.8157230023408065,0.5802963781852558,0.4347932082660379,0.7742722389266095,0.5997426538506935,0.6408739637573593,0.47781994646242304,0.8642083422602489,0.6163527861598437,0.7005364213771117,1.0629412082158745,0.44684301736320725,0.46180022191452086,0.5330638664134368,0.6619634075617399,0.7773136804174949,0.8285892601527585,0.7926354066242424,0.7073686922109822,0.6392752826947768,0.8024765201189268,0.6506661171361118,0.5705414026220866,0.6958129922663606,0.7564919991505628,0.5937902889638158,0.6351528800635111,0.8037241674866626,0.8672908207984709,0.6973573458437553,0.6983302268684518,0.6230908520766532,0.5854430820280072,0.5560488971538811,0.5421185978608657,0.567884790981641,0.5283853203995811,0.5135320635599072,0.5001953721929165,0.5585385613038715,0.4567428664907306,0.4649698723109573,0.6662310862936008,0.6337539686581424,0.598613888683386,0.5908472441587793,0.9078183637562687,0.8065705206111581,0.8173103262759653,1.0527733075693353,1.276372945512236,0.9899454736468306,0.8694634516516265,0.7445550216481791,0.6605230098727255,0.9858861050182123,0.7859740667383786,0.8244777806205749,0.9741777024886986,0.6315170067079108,0.4971675895508448,0.38873376252890324,0.3724775563853671,0.3754142154609186,0.3522586886895433,0.4482668947113607,1.0100020059551018,0.37974281057484127,0.4540658732166104,0.6132299254696529,0.6367834611348009,0.5428759560538022,0.7328859626711424,1.5542419594976848,2.1642303746130724,2.5846189415858642,3.431831448611117],[0.5035361973978849,0.38571857377125646,0.4429153505263672,0.42559083983696455,0.4199941341153332,0.34416054732813495,0.25103668831384,0.2706966014907335,0.21592340864231668,0.17503488660208527,0.2013101341314009,0.3330959463809548,0.20847184662520965,0.2115930474581303,0.37019978580348545,0.29942091340045857,0.3188045224154762,0.3569087661398934,0.38086872633555974,0.38500249353520194,0.4044432356511308,0.41567542541969965,0.5125413707397285,0.6857417857764255,0.49287511101497883,0.4301519200267149,0.3747140974776939,0.3271534893350857,0.32920232026054375,0.36115873801826626,0.37252394419774415,0.36322135589945487,0.450465743854409,0.3987874649606828,0.3578215564805988,0.3589205693496876,0.3607964969604614,0.34693198639937683,0.32575199605258487,0.35387125247191337,0.7381830608712991,0.5137988795544849,0.4982587100759267,0.6247355486454498,0.82947172214182,1.473301937427794,1.152703448579132,0.9957262971876986,2.301910953260121,2.1048430167890357,1.12137674325424,1.4824190397366752,0.8456130090015128,0.7773536703280305,1.5482409861932587,0.6352272892918783,0.7687279215811184,0.602982129681894,0.7315941465831606,0.9772203916333325,0.5820125280262424,0.6899000529782732,0.6410426456338386,0.7614201793974182,0.4746640309746859,0.4743316140912429,0.6702577996292103,0.4696710392073972,0.6233857213932484,0.5654850018186437,0.8116387851223107,1.049700875584048,0.8171848282408262,0.7498022699439509,0.5020226251806201,0.9421292708679158,0.3837337982993997,0.4211753649515519,0.3801241143155939,0.4021552493371312,0.4460254082319137,0.491182782201519,0.9939326148329458,0.5345482382294096,0.4586982963430813,0.37019306850376493,0.34939300537013585,0.5272756523109396,0.3749721622230227,0.4585058885322455,0.38745570634377746,0.6110152982642031,0.447537756134818,0.38697466457718327,0.3609547325555795,0.4480311317057067,0.46518512355042035,0.3992041688809113,0.3987990183050827,0.6858767467234411,0.43056415713236956,0.46999107206009383,0.38056697828940095,0.4310999184015523,0.4064662217098509,0.38345422597674494,0.5862025456203269,0.3486622577466667,0.36649225714175354,0.629683444367755,0.293351732998819,0.26805537989639305,0.25178818446162005,0.30429563386202385,0.38019847406679197,0.3548256311248384,0.3705818608247564,0.32984992307829614,0.40303309638181933,0.4397383980317902,0.3745332988281525,0.2969152418823368,0.3025146583162193,0.283425858463914,0.26749376627022114,0.2920269021766697,0.42734348143493567,0.3244142764544085,0.30210364302534515,0.3474843977347329,0.31470081133238614,0.3595597444231881,0.3273729539231182,0.4702886630859598,0.377981141972234,0.3799045071201557,0.5780938739692422,0.3406955712470386,0.380870490770424,0.3308323547323009,0.4742246647636278,0.44327757836237347,0.4009788433668189,0.31073146481767516,0.32682623445369213,0.35610879381753907,0.313207382873984,0.2858670667537149,0.28039192498228466,0.3038065228195589,0.40305776706189,0.5331257909041425,0.7675079717530909,1.6915184934414043,1.2198979361940085,0.5536726569572321,0.36344837663525875,0.4021883330479181,0.3386396529732054,0.380783108335487,0.3184824167164099,0.3170297807523989,0.2837089058024277,0.29492067931445554,0.4151386422769917,0.3446211589715979,0.35793912516648924,0.44606719902041664,0.4786162477576173,0.47562255355351546,0.36683871745094704,0.35467225737177643,0.3460937404919746,0.31380727652917817,0.28888806685577345,0.3587663999189453,0.3530074047705346,0.6389809157543301,0.3622838352149358,0.4064444490849517,0.41171669294701324,0.313673895563955,0.3407411670674851,0.33035839927191374,0.36542797859740095,0.5298660278940255,0.5880751512836344,0.6563653244232244,1.553711127988289,0.7764586764834946,1.1146409214854043,0.7236283443549093,0.6290554285396076,0.5685163649522265,0.42739086243409224,0.36838046736585817,0.37177830558229935,0.3215510746768879,0.3543352144436965,0.44675738990932545,0.34479622757418926,0.3867177879638965,0.32954222022958096,0.36700379020457646,0.395050889022276,0.42782540063430236,0.5265918202571033,0.4529323852256678,0.5139083456989487,0.5107475964980054,0.5567575831170264,0.5836693926871143,0.6214236154908421,0.7376274686670485,0.7217993969725326,0.7160716358163707,0.7661672296511378,0.6955605766438625,0.5977378958107289,0.5855372087177315,0.6027763398958603,1.9927649044663287,0.8074454985949387,1.4991934153594821,0.6519696594079801,0.6914945737787851,0.7219494100289872,0.8691362224841567,0.5765584494916087,0.427395994793271,0.793945990423351,0.6081525090966398,0.5927331487072782,0.44653553553250225,0.8638527510021671,0.5291869290551559,0.67101523715672,1.0162937468574713,0.4240902357633766,0.46601207417480256,0.5711809392055174,0.680712652046956,0.8057446855053392,0.8556675082065532,0.8239481403559089,0.7401914648300347,0.6558735937480841,0.8306536348970467,0.6609268468359282,0.5629940943528093,0.6817886094117539,0.7246780499826101,0.5660687261798535,0.6015837633172813,0.7535056459016709,0.7970020565809481,0.6461536448848934,0.6485784892290278,0.5816935191691849,0.55684887410377,0.5405443889409584,0.5293254665782435,0.5436446543058995,0.5013889299417205,0.48745800472306444,0.47559630817995446,0.5356687015127425,0.44368803259298223,0.44306991252125755,0.6182110669990984,0.6100737024940135,0.5444840039590022,0.5763273753659823,0.7967961376799735,0.732721258694986,0.770145536848033,0.9761503792544995,1.2651815784296088,0.9488489545824216,0.8185701777548089,0.7123418386578412,0.6582374633219018,0.9730970289522051,0.75040378380174,0.7704896808462217,0.9144033468136954,0.5911208694468709,0.48262965487245324,0.38197845086028803,0.36607941138400985,0.39852506726385467,0.34052865597731957,0.45673309932604716,1.0056248128404222,0.3813142516109658,0.4759672477063479,0.6586991020250555,0.5600569552080544,0.5800379898773272,0.7975631936561742,1.6493097564107404,2.2326107894586555,2.899700130855032,3.9836891225009863],[0.5428566239891988,0.4652999631547487,0.515043111191169,0.46655521885982665,0.4519382959531258,0.42626428488661283,0.33079095525490093,0.3883841900910177,0.3257833422287498,0.27605103847953905,0.3139156215617422,0.4054978965895486,0.32992041060448524,0.3899223300895161,0.5143938129732314,0.45124925573748725,0.4644920103011556,0.5524146232027681,0.6013570501980241,0.5642570757080724,0.6269856526630836,0.616258932931312,0.737408236907495,0.9034772262005805,0.6277710839245397,0.6156281871355079,0.5530231138211881,0.4949229449473986,0.4903978479667743,0.482383914930873,0.5545680930144412,0.48391247986398606,0.6145158971799178,0.5470201386953494,0.4959933412952791,0.5201508818484597,0.47974843909245635,0.4876888000176321,0.4658545104633945,0.48977583427430854,0.8081858356476906,0.629403489612335,0.6155664698095199,0.6794483374362268,0.9333745295218566,1.3554956418038944,1.1190585202585985,0.9943659168016855,2.155830145782091,1.853192269142648,1.0880167795674658,1.4425845726533713,0.935669591496637,0.8711071720062866,1.5996260442810135,0.7364349924128134,0.8349861963999847,0.7225476393864719,0.8293266325683837,1.0593331072412346,0.7401015105482474,0.8352080647649406,0.7915157421446694,0.9557590612720234,0.655065975879376,0.6611716292581998,0.8508649110890887,0.6427213622307983,0.8387915150288804,0.7124943231383565,0.970983402632347,1.2634540093233388,0.9692177701717085,0.9540650147352747,0.6923825862115826,1.1489989827818623,0.5714263545913486,0.5888886454230544,0.5426518048876794,0.5456094673533534,0.5643305709077037,0.6024880706320337,1.0832442389514438,0.6237998290216472,0.5598496602738776,0.4862196563143864,0.49033397833431724,0.6122746055356675,0.5278013584962473,0.5952811228585138,0.5510277846506473,0.7953723638504167,0.6154905134061014,0.559183304936037,0.5269944501556563,0.6064191036740428,0.5861296230932822,0.5077230531927955,0.5009237235939699,0.824746133053815,0.5234189717961671,0.5393475451015725,0.46528150240628474,0.49259493933972753,0.44869614774278466,0.4445764464114484,0.664913426715644,0.4144211764578133,0.42146748781008214,0.6674791939481997,0.3788656248908637,0.33479478291089176,0.31972347329612816,0.37078531155762506,0.47491952506463464,0.4644518554839982,0.49895994863991555,0.5292902489538025,0.6283591413512465,0.6133984032963151,0.577286889282664,0.4796681231976004,0.4671599363916919,0.39538170874293743,0.33642550270119953,0.3482930056431486,0.45334890477622275,0.36621400845797414,0.36458948759343157,0.40311435139193,0.3628347161158883,0.4028848399362019,0.3709424137933239,0.5105410430310834,0.41485367247459987,0.41669128878343586,0.5814979737316721,0.39196278719181704,0.452583667602955,0.4504864875568546,0.6329172310696369,0.6140002650725088,0.5701279632498025,0.46015818067440195,0.45563072049401593,0.46889548692780897,0.42806990071788037,0.37401930648802406,0.3664288761388961,0.36072873614957834,0.4752908722857792,0.6097277807864682,0.8860747267275394,1.9024074789530356,1.295902936301458,0.6626426476086669,0.45551670007844136,0.4830306359101769,0.42592527174590034,0.4354491985372049,0.4068896746878063,0.4201788529785839,0.3940609362075361,0.40945265288658983,0.509059152021835,0.4589063191621437,0.4319293069220829,0.5259391251702259,0.5204951833672722,0.527126838369343,0.42049461373246466,0.4315583246427013,0.4272737073653305,0.3922943357424796,0.37989243684291707,0.42200579877501526,0.42938552438917926,0.6940404516333375,0.44644392147814366,0.4641988594205721,0.4555895593989874,0.3768317456166996,0.39902300941808494,0.3882168946456492,0.4235669709093438,0.5727147007935521,0.6135524456576632,0.7697524981527079,1.580991313845266,0.819582816512992,1.150349923156937,0.8198684294273875,0.6855786470511129,0.6049135420149842,0.45529631003849985,0.4053333791043853,0.4117897954036456,0.3755621477780115,0.4196946366069347,0.49945497359107127,0.433291879714661,0.48259483420883953,0.4182684180990674,0.4560330724885348,0.4999438202679433,0.5287696185233447,0.5945312957164947,0.5477551538953741,0.6359308807187959,0.6028515837015487,0.6448758610358606,0.6848470147797263,0.7158413394596838,0.8237255874449559,0.8122105552873692,0.7910390553224743,0.856141725672803,0.7699233995253668,0.6869117934982881,0.6950563526776221,0.6965797564661479,2.007647487579336,0.8902097547177056,1.6019147619454932,0.7577404515637663,0.7959651830999624,0.8213815889938062,0.9639264198197012,0.6699831206812795,0.5230869043636059,0.8596121545282981,0.6639656470871151,0.6547553359532811,0.5129116332141457,0.9039116561325561,0.5778307445426396,0.7075798581967334,1.024324989943272,0.48048299327962934,0.527421228937196,0.6395528334268428,0.7574052758309264,0.8880479168453855,0.9613029682762376,0.9203003112487541,0.8346981920763524,0.7844928347004314,0.9602067601900347,0.7832312796532083,0.6926320088674142,0.8260393223255904,0.8656262792929836,0.7030546367645317,0.7418499868162686,0.8934522461475609,0.8935624061870306,0.762470264417107,0.7867564943081431,0.7137003283694784,0.6939123203070701,0.6656697432823637,0.6458891908516606,0.6700879448737354,0.6070720884269029,0.5845670928012997,0.5819024969910271,0.6352265962663484,0.5295638666609327,0.5377428957376149,0.6903400019997367,0.6749836926887992,0.6069659209604326,0.6283719843420631,0.8563125364977445,0.7844598749800131,0.8139785270023602,1.0104859265770156,1.2752147427340432,1.0173444755765806,0.8837030813703031,0.7699114838370738,0.7108517109582673,1.0110198287175884,0.8182846010231063,0.8439426772944921,0.976315700373358,0.6471160828895727,0.5358447788288798,0.44623880757102474,0.4239195011985075,0.48181054918526267,0.43912741093794694,0.5605571073228386,1.063129531794574,0.4840466900210513,0.5789916352421609,0.7522926128637731,0.6158065026985088,0.6469234216539588,0.8464455050710915,1.6302461838390414,2.05838293728303,2.606596209753569,3.666682718899893],[0.5059473413854626,0.4092465867173602,0.4281794346959872,0.46552914542388113,0.4255335281023135,0.38461780504585413,0.27576623211364726,0.34473419802565053,0.2864365242912298,0.2324143343838738,0.2643247388869462,0.3895727898253534,0.2761889638152608,0.2924207304998031,0.452208587535885,0.40111014829690017,0.4055242357444134,0.4825189673687961,0.5291875503178939,0.5070103082753767,0.57582765945498,0.5679482306513146,0.6973653443501657,0.8938320212420025,0.5721807529855558,0.5600866076978793,0.48046271285482395,0.4124803012504056,0.42374560951407797,0.4388626736537538,0.5132472302217858,0.4561872184299945,0.6154584928104823,0.5410557198170616,0.4722194508683007,0.4821546281485146,0.43719615443936155,0.4250357777028128,0.4153221134996589,0.43809204419976394,0.7998089685300469,0.5986886122474525,0.6009282128945369,0.6531069477045455,0.9625988105267013,1.4001874087638926,1.177083122401748,0.9762995327166436,2.1382747360663497,1.879555179100718,1.0417858063854433,1.4466770390378454,0.8926824136457165,0.8468291242440142,1.5842888920369316,0.6989353877070594,0.7923456766914782,0.7283444580411464,0.813224387710493,1.0603769365287725,0.7298105135800851,0.7945168213495853,0.7524513008402468,0.9484441150068507,0.6362862424514749,0.6278558159639893,0.818568889487905,0.6068848830130303,0.8457944861366878,0.6875583329096394,0.9118084236872183,1.199118629480942,0.9051170958148455,0.9522315353448902,0.6536400041680707,1.1863411488454279,0.5421061739985922,0.5656422267434019,0.5136698042578004,0.5183870607814842,0.5442982809810123,0.5736855728012694,1.0565066423449303,0.5498620532806924,0.5097765513203422,0.4410350934663313,0.45131616269739716,0.583866319030767,0.49351384283850985,0.5810198852545198,0.5434650115591065,0.7954113239876119,0.6135713211827628,0.5539762168053677,0.5081819678764921,0.6021625534645166,0.5533875882008107,0.5097096419072782,0.4911292519791333,0.8026316808217472,0.507464194505831,0.5099709647422496,0.4347286625165848,0.45999755768734685,0.41547350930518634,0.4092242854636738,0.615883508826641,0.36469680966942447,0.3850146173402528,0.6471152688322729,0.33176901004403486,0.29243177342861926,0.28197382248344105,0.3274674149041906,0.419704298679988,0.3848399959793443,0.4172392808357725,0.4389799697416964,0.556046142343881,0.514872869868959,0.47143032209863345,0.39623495090863003,0.394978324696337,0.33433164851553704,0.30868951995353155,0.32089843062417345,0.40823737090636475,0.3369575238329773,0.3288901642820484,0.3572656020881138,0.3335620460885244,0.38175235840033156,0.3280956754239023,0.47187339788193455,0.3701989316116918,0.3831999186248606,0.608258171303775,0.35180614524704035,0.3894083638447398,0.37510994094491507,0.5843544288584516,0.584928675741571,0.5256318124654051,0.39005950399816,0.38680343405887957,0.42251545356062764,0.3701353096353854,0.3325679443063578,0.31934614609495554,0.33488447905304214,0.4375072397714861,0.564266087479655,0.8650331217994318,1.8842107717882135,1.253407655809974,0.6198022857125879,0.4188397886891696,0.44310291679437974,0.38844409169126864,0.4111431869364555,0.36305986063005696,0.3669750007664457,0.3280179092722245,0.34484743343814445,0.4262930865919512,0.40291162656003476,0.3914643661680135,0.5217912713355604,0.5180150972313173,0.512736039734803,0.3903137559635593,0.3717358078347942,0.3734123840340109,0.3441642458095273,0.3351158567838856,0.3933563649016582,0.40257827977740196,0.6733468354318264,0.4166749883801912,0.4306426497496909,0.4440416605199362,0.3400163467743078,0.363852334809193,0.3605736301017719,0.38931491028305365,0.5659513760493989,0.6091151693356922,0.7238006236805602,1.6294157778770595,0.7871997988294626,1.1477796694499367,0.7966962084850492,0.6688806643252123,0.5933599217879796,0.4325163104252396,0.37848047243451644,0.4013214899490708,0.3524951419585957,0.39501403464532486,0.48899000118787456,0.38580520633585813,0.42237558225817523,0.3639978280947101,0.40287930547804285,0.42648360624846354,0.4537736619141049,0.5521389023515164,0.4794120155967596,0.5534670740466957,0.5275472408357983,0.5824661898997526,0.6118195747751256,0.6354508361710572,0.7473844740515532,0.7662539224326498,0.7589101627293723,0.8176743177106978,0.7459452210236583,0.6341984456651043,0.6311615918374504,0.6438677525882546,1.932509495285839,0.8483762690034992,1.5706766476000458,0.6959731543313962,0.7280340907377016,0.7624388109752758,0.8780993222266132,0.6075883999546114,0.45330632252331093,0.8177025735055891,0.6022985377932774,0.6266440174019169,0.48215085051308176,0.8642406677902338,0.6275133317253162,0.7233138702061159,1.0663915124948227,0.4740339016447583,0.48865997941742007,0.5768947812004327,0.6977513433962231,0.8197994545631779,0.9101039819179583,0.8647585626821424,0.7758648159323012,0.7150088790538638,0.8981385526611633,0.7298394300180132,0.61623338950238,0.7561744902684269,0.8034820400058773,0.6187730585345464,0.6680666070515454,0.8442418908634175,0.8523778952973078,0.6926788588620479,0.7154821196215703,0.6448575192821643,0.6243959223439746,0.5988643884239672,0.5821726359500804,0.605621746068185,0.5345456723084682,0.5231684107860956,0.5138503903706373,0.5651767958328481,0.46358453277819334,0.4811809978193849,0.66471703463559,0.6462506312938799,0.5947649426439192,0.5921056011332986,0.8961939406527337,0.8047334296780293,0.8350255258343898,1.047338728367086,1.2809892259332356,1.0518787471583309,0.904777053457098,0.7511152354671192,0.6674119023161804,1.0141652780255093,0.8471994906181044,0.8908380070711442,1.0256045717466808,0.6612172484974241,0.5319305832635386,0.4175276140306928,0.40480685348299417,0.41461681054546645,0.36871249978616416,0.485763002559185,1.0246151906569212,0.3950455203373758,0.47329102369268644,0.6500346909185057,0.5917798225171609,0.5335836216467388,0.7295848378177473,1.5055430186223533,1.9555716152561522,2.3809960675198494,3.2640213850410738],[0.510667820731391,0.39904051621844316,0.4717095065248851,0.40886571667169114,0.4410996062013487,0.4015592998061351,0.3111616101254559,0.39186654160481,0.34471744863779635,0.31099539757215466,0.3700430371696,0.4756791325264234,0.37424761883479124,0.34456746284527007,0.48429185444857187,0.43728765866881464,0.4105463007203468,0.4670295924491673,0.47426439266416115,0.48186691108310875,0.5077224449258274,0.5140685181762243,0.6098075154417516,0.7791451871689465,0.5560470962544588,0.505366358368929,0.4626334053739376,0.4140801587368157,0.4347017531598359,0.4789552187104217,0.5305479300394936,0.5131981628634237,0.6125375267023102,0.5482026993689969,0.5001723304712301,0.4908243882377511,0.49681123704451824,0.44758590688405625,0.4074254567958554,0.41888033980620615,0.7512344451142245,0.5522459479659394,0.5371304976190252,0.6555117994058047,0.8860399989371437,1.4589067114543746,1.1829234234418822,0.9971487413381713,2.2431617779547905,2.1056021381527246,1.117220778162036,1.4790190037666977,0.8864253798825662,0.82002333154544,1.560293441450234,0.691159277653739,0.8079381119273703,0.6508241337902763,0.7811748545229957,1.0230343588796187,0.642768463000699,0.7584444660079552,0.7232461424248661,0.8454930517889775,0.5694477586008844,0.5707153387910233,0.7624607160859624,0.5690923993906792,0.7408715467796096,0.643044747559604,0.8746582323660514,1.1608437203718844,0.9013029699918051,0.8825574424833196,0.6120911427685402,1.0762718391326584,0.49595077181975494,0.5571963285578438,0.5070076355765932,0.5038075422531311,0.5368761450490926,0.5632638531099299,1.0601037995070748,0.632165174055606,0.533838454339405,0.4622873654782058,0.4511408765914713,0.6284490489167545,0.49981916955352584,0.5966342495129431,0.5045734837541976,0.7384734303295343,0.5858470490203642,0.5537731991364229,0.529094027228428,0.6259852705571854,0.5877990661317471,0.5487024085404651,0.5547040970984356,0.8152760300410402,0.5882247697393481,0.5785779539428545,0.529908583587919,0.5405585789683673,0.5152240520164318,0.4845573967548708,0.6874227927633287,0.45691227032190457,0.4843841037566977,0.7096598400676408,0.41564545667464114,0.37430138737634083,0.3489721802678313,0.3732691878231429,0.4261019345304154,0.4018974549176072,0.4376835568520642,0.42876226276911256,0.5071330946402388,0.5251757392064634,0.44712058593304493,0.3963980586333858,0.36815430008682415,0.35251663935164534,0.33225701363143045,0.37020582843730176,0.45139591478276003,0.4145431212208666,0.3934881923122259,0.40787404607588557,0.3710302818920328,0.43693725685895135,0.4016779918938156,0.5344645980042079,0.4430216384356103,0.4487400022349516,0.6574373326602919,0.4065514607002863,0.44638547250439725,0.4266868186030607,0.5852771616022248,0.5729203169640145,0.5109927145960099,0.41184700756426457,0.39681427212021086,0.41519978908841226,0.39018711598145844,0.390586320615261,0.39259245574644897,0.4081066599451692,0.4853744329815183,0.5745093830793039,0.9269606290043098,1.8210221215904736,1.1927183485356236,0.6673780874322306,0.5228977043934285,0.525680454182024,0.4714413058108731,0.5004336810310958,0.41449933772088526,0.4243391905995621,0.3955877986104644,0.3945029060888037,0.504715579752088,0.4410505781011618,0.4369908626475079,0.545719390650958,0.5962359940671659,0.5731688027566104,0.45959433964576263,0.4497834447255023,0.44942482948741197,0.40007852287962475,0.3931665699969297,0.474366124925607,0.4733603246229872,0.741059349537523,0.47491405148788796,0.5296913558848007,0.4677233719922257,0.41259262658520957,0.42387948769968226,0.4118422234529132,0.4384484172005386,0.5358102580368003,0.5937557406905175,0.6706157285905153,1.6140768148529276,0.8372617320265087,1.0687154689530183,0.8065826076215278,0.7064559233131774,0.6525002668063266,0.5024538338353522,0.4270940474656228,0.4262622994495492,0.38910565538659114,0.4032091228326788,0.5042736410498606,0.40930611651787274,0.4568585424213874,0.3987360598096098,0.40293890427728807,0.4528937128628751,0.46588273061325286,0.5381260801290871,0.500283147068699,0.5719676179918713,0.5373640983833426,0.5978993070688533,0.6313839368789882,0.641129177217629,0.7422132217070382,0.7648398597070748,0.7556402810171503,0.8156865278573654,0.7486141080185584,0.652517224632935,0.6612964992750874,0.6810959004150716,2.026523774743529,0.8521862887511795,1.5450914962544633,0.6668081691641513,0.7462646655630039,0.7901162643401578,0.8840895127801361,0.6469830734610761,0.4974965874408005,0.8526947476252902,0.6198481052933521,0.6743013161309319,0.5170602130427749,0.8570414533531535,0.6091769166251011,0.7368561515695762,1.0224889101865224,0.47298881786362423,0.5108928378342856,0.5927318012656969,0.7125259965742938,0.8318200467414811,0.964379005542017,0.8895382628516334,0.7965703856232009,0.7430988186882571,0.9227218970177802,0.7712525428750374,0.6447852285158745,0.7804795982912004,0.8290711577511644,0.6424297249951244,0.692598394330783,0.878379497481846,0.8605026334051666,0.7060655608453895,0.732002319649644,0.6715955694846709,0.6554791364001438,0.6388906170122697,0.6170682183440228,0.6324066806852582,0.5685455641891263,0.5567064747241087,0.5446773157166611,0.5933475920241907,0.4799022605521385,0.49980729196434615,0.6634618224964943,0.6452683552936863,0.5900820171723031,0.5958812631221978,0.895056468705619,0.7856124688663181,0.8197087106125309,0.9575135551501655,1.249251295209497,1.0667251446058903,0.9018094082635097,0.7483857643476441,0.6761764630369042,1.012303922359092,0.8481383669437449,0.8752478226681534,0.9958617883248386,0.6250289950885008,0.5057074329510801,0.4352610351043845,0.42079393057696624,0.417272775918759,0.4373552813188355,0.5244540048484685,1.058793836639786,0.43029470715930257,0.490619369500606,0.6515241584115463,0.6038026194131327,0.5407614255873745,0.7677985172639752,1.5139115103255836,1.9595502482071863,2.280078362384471,3.047400069955204],[0.5121264337253434,0.3719720274706549,0.5021352728013838,0.3892034718655806,0.42778450910644705,0.3884981589845586,0.2825748424677619,0.4022957863444797,0.3077315099352722,0.30569926653437546,0.3741229244279463,0.4473765713673793,0.3722307543575582,0.35300072171567515,0.5169790047802414,0.4730674055216525,0.43111297329958226,0.5094705188542246,0.5303870420028737,0.5180979978519744,0.5600717135077797,0.5589074879005586,0.6607451880250016,0.8382827923376192,0.576632602827178,0.541886706882911,0.49582559115361624,0.442649720802998,0.4670315391937221,0.49570043296306826,0.5776999042281835,0.559713135459581,0.6591290031490911,0.6039715139210982,0.5460123077431531,0.5297678335428708,0.5264797872837904,0.47193507768357407,0.4176612068931106,0.4468218226661112,0.7450925997077242,0.5855671137791375,0.5637652114029766,0.6563970350484555,0.8906040828702971,1.4117094010166835,1.1319557059453702,0.9929340132827388,2.2247165464301446,2.0057197683657817,1.0961323593051715,1.4670831425616977,0.9239689973250651,0.851479278683581,1.5951955490305763,0.7099496946198147,0.8299677978078867,0.6625940027898992,0.8070115652163184,1.0149266757498205,0.6752651109145696,0.8295176984091377,0.8057031656282164,0.9242698904987651,0.6202131792738406,0.6289673478729154,0.8163030149197484,0.6199214879806211,0.7999240677130982,0.6852067512803582,0.9180644691132305,1.2462766786169657,0.9540844822568841,0.9391142429761543,0.6827119644428419,1.1637651338290878,0.5651336769122027,0.6330129083315641,0.5656543836576471,0.5560993600391618,0.5722695330962076,0.5991736110542176,1.0983150837007336,0.7262505748762335,0.5426615422100589,0.48732832698188105,0.4776786333020599,0.6696029113171684,0.5380886220940267,0.6438365763629643,0.5565921163668704,0.7923244587560884,0.6620524702618179,0.6239214166981433,0.5835104740958389,0.6885601577614449,0.6560107679260885,0.5797334606452328,0.5841163187167472,0.8790109578229951,0.6112681151850888,0.6073652526547119,0.5597821007107601,0.5481951226455041,0.5230498301109864,0.4865368513867685,0.7411315057292184,0.4478007555839047,0.4750909518288617,0.6983428035982946,0.40384051803488097,0.35401589159535624,0.3268480205865596,0.3616872298257079,0.42411126268527916,0.4047049376094694,0.45841212557009714,0.4560210755399994,0.5620508055762061,0.5660297047976434,0.4857997384400435,0.41729577124423844,0.39074799723567216,0.3566613116313101,0.31591052335099273,0.34974297132762644,0.43085438658762176,0.3847183863049194,0.3729160956313754,0.4002858291781987,0.35618080858323287,0.43948440700761254,0.38169439049948667,0.5527276148216729,0.4307872139355065,0.42937792695377525,0.6357616963540383,0.3932092481876858,0.4433351706754213,0.4244111895508327,0.5984289612358383,0.572551827290194,0.5163638883075095,0.4149114820761159,0.40606116380162927,0.4293068780135254,0.3941963970935746,0.38864540990317065,0.38718232518808776,0.38350812430013353,0.4605909870626014,0.5496869964361121,0.9802362724721017,1.8700794847431217,1.1375487900475991,0.6978154260345801,0.5210879680572454,0.5135579519867667,0.48397494136194047,0.5041694872020239,0.406863428003292,0.434100091721662,0.38948602126765175,0.389422553910849,0.5105172897400931,0.43363066282312873,0.42660722155230285,0.5284174544499916,0.5746868684746774,0.5606816279783668,0.4378957096408474,0.4298497067725605,0.43509178834430406,0.4138627629476691,0.40501728814357896,0.4779079897865011,0.4786381129869393,0.7678707238472137,0.500764758642229,0.5583098816181055,0.4686350224008979,0.42265626449898863,0.4355227388722721,0.41121696558324006,0.4311033338421995,0.5269287189469751,0.5725129305973082,0.6703343346795678,1.5547346231120107,0.8271872116246635,1.0999423846295684,0.7608652843355437,0.688972733741878,0.6287068931639774,0.46971298734324224,0.4015341978002632,0.40930777503596993,0.3749790724162805,0.394797247188282,0.48176563056277866,0.4169856640266793,0.47419233185557996,0.39526360091114215,0.40740755079158203,0.4681770682788657,0.46942580299090747,0.5408169622730707,0.5065708618838358,0.589396968569127,0.5333024355819718,0.5990210254502936,0.6463736594469562,0.6410632053176359,0.7528256794862522,0.7873254778795679,0.7716421170233864,0.8173095884224343,0.7646031842827635,0.6715607406174936,0.6814066841924481,0.7147602073940985,2.0909360000958674,0.8912829944081946,1.585124767231568,0.7164833743297319,0.8115112010794862,0.8511471921844745,0.9354581396410968,0.6974382304813477,0.5268150967217133,0.8881229461696907,0.6164966768195579,0.6682754777660556,0.5173283003747922,0.860553238342365,0.5817521232540313,0.7196875419925987,0.9900933354637804,0.48441677253834686,0.5218518823851676,0.6198682275048325,0.7425815568344799,0.8687899615585781,1.0155419796068919,0.9438610957963303,0.8556784740529482,0.8118237440964134,1.0075050387059195,0.8367339591002145,0.6918011737238235,0.8440305322734215,0.880377504907126,0.6656296794224792,0.7467995854550146,0.9432865567451217,0.8616160190830211,0.7318223645912425,0.7756566275522407,0.7050677965351513,0.7029768961893167,0.6898759827778616,0.6716925460536922,0.6811492561635865,0.5961179036677913,0.5935808529663491,0.5812934086310514,0.6148365619222994,0.4958329937646369,0.5239986055954428,0.6826269827148708,0.6536718632391397,0.5836248121932543,0.5934386751087133,0.8989637044559556,0.7943682394859558,0.8404248529197925,0.9593731850088626,1.2411321905161408,1.121127544609649,0.9416200482505566,0.7558905198010311,0.7049650356462006,1.058285779213771,0.9056079404869161,0.9291706726489513,1.0272905191108526,0.6554379155050327,0.5232198207661541,0.4309105869399819,0.4098300413647677,0.4161193496744613,0.4312877595134212,0.5549017761652105,1.0657463832573804,0.41779410538423645,0.48860249871309674,0.6544223146108362,0.5829514746528789,0.5039686732700256,0.7613191943601822,1.3873241701795764,1.6924268114326337,2.163913130623651,2.934156794942954],[0.5809313278877161,0.5118010241664654,0.681911311206048,0.47596360984921815,0.4943003163488747,0.47339015695460657,0.37993578365381275,0.5111914162849309,0.3732540820950515,0.35749942579048716,0.4290968022023422,0.5099535140064765,0.427993717556269,0.3926977460371873,0.5671642455733007,0.5233697072478395,0.4731625126122349,0.538724820508906,0.5380521880480278,0.5395690844065737,0.5668794011742059,0.5796730612777201,0.647704996831122,0.7675877231612298,0.589090569997205,0.529584789366705,0.5210908694213721,0.46899546333399644,0.5049380711783211,0.5604033566943255,0.6379395445455359,0.6329152589435515,0.7327230197249465,0.6985122937266036,0.6451158090232249,0.5883337031655695,0.6116782224435278,0.5297330542333237,0.47899737840580564,0.5183268864328032,0.7496589411640245,0.6047906424897501,0.5777361637300645,0.6791397015646106,0.8558165675622863,1.4878931667569546,1.1594825295921278,1.0532294720718756,2.3231564858139397,2.1378378728537046,1.1781474206977225,1.5295253087218896,0.9842820421198618,0.8668172086723888,1.6077848687834548,0.7726964897040286,0.8942134366218901,0.6690508616413645,0.8405317472551922,1.0186414029844248,0.7014181788010458,0.9015918830670537,0.891324749101944,0.9394440818205689,0.6400350922390452,0.673123827522956,0.8322052210142453,0.6532185012727597,0.7683867596536491,0.6981511847404932,0.9222203819174543,1.2613383161535263,0.9899504370911064,0.9292865381667659,0.7190072146751506,1.128188287154059,0.6199361683590794,0.7214558746181807,0.642035082185446,0.6133564579332355,0.652396775015598,0.6646864928709602,1.1525382329593783,0.8491123472706228,0.5856308424099541,0.5702784676256704,0.5544068712735918,0.7741316544492645,0.6065435998855248,0.7333466179626162,0.6242122218668487,0.8374943092740645,0.7409462763040057,0.7173254093427041,0.661011857624568,0.7922735708214622,0.745096024011984,0.665057897762243,0.6575452982607047,0.9161135703752793,0.6959677507192096,0.6981690702126935,0.6512320778420861,0.6631862232265616,0.6463908748816811,0.609718908548212,0.8842311511475177,0.5740353215275555,0.5922559849683098,0.7786792463810088,0.5261474210556465,0.46901549856328295,0.4178011998122294,0.44791515506948365,0.4695588068938432,0.45733958415215353,0.4820598224426937,0.46897857528611203,0.5537670228492525,0.5871690354810029,0.5028988943934657,0.43300694189004874,0.4101474371808466,0.402991581933228,0.38775727901403995,0.4332767821163686,0.5022659265700163,0.4776172781019906,0.4793004381152531,0.5178518090634294,0.4827359824059955,0.572608014746477,0.493738189394286,0.6730692291157299,0.504430733300637,0.4920717527638939,0.6997808686386932,0.47666747859177067,0.5175816256646505,0.4763207560601646,0.6121836737339539,0.572376049165508,0.5261538058878509,0.45363593108116373,0.46319658513060596,0.47639702622630364,0.45030823681163307,0.45087629632109183,0.47255455688752196,0.4680836249429401,0.5558370464303495,0.6129440965774005,1.0927466232321683,1.7533798349274272,1.0325857825573437,0.7696298016955655,0.6026157102725818,0.6096041455538471,0.5697279543848307,0.6101456820949382,0.4941689701082845,0.5142010224697952,0.4522834632885209,0.45694584971023483,0.5780111270145023,0.4857987513718592,0.4851319700052327,0.5621162808548317,0.6260099485389807,0.6053021913647623,0.5038569151745887,0.4945436538834085,0.48485073551902197,0.5044744123978985,0.5070711689094404,0.5734341862378212,0.5547660348640273,0.8671258948199633,0.5848645970494689,0.6588480512449707,0.5588073956460712,0.531363689444984,0.539635044881334,0.5150965737098788,0.5068745606248043,0.6048853100269173,0.6230372890989305,0.6880392051918799,1.4945422344280244,0.8390326991029118,1.1425793358965248,0.715768241361784,0.6858529113705736,0.6464013958931575,0.5401364984127454,0.5077061813401453,0.505287217124716,0.5123287551693635,0.5075332628565856,0.5558550969329414,0.5496815035600507,0.6018542645968065,0.5160654712973222,0.528593115737327,0.5946410987116789,0.576407311911333,0.6445871392908866,0.6226865372776031,0.6955658196910025,0.6333511902615341,0.6992039880761702,0.7488088543872493,0.7298247171732202,0.8604966316544291,0.8964036865599887,0.8601489861471885,0.893983549376922,0.8319685241311219,0.7548293249212178,0.7783961551158249,0.8219180640001386,2.2166606832138975,1.0227415288002841,1.6685825401967047,0.8279947776452738,0.9372390280947223,0.9721039736080789,1.070753627901717,0.8206031540902875,0.6630397838307894,1.0106425794377571,0.7240701950955388,0.7529149802107761,0.6506776835667175,0.9414449221347255,0.6550574844931206,0.7941585620920399,0.9969638054389135,0.6075140490574674,0.6273257637622088,0.7371207330741488,0.8533185350974836,0.9736614253196333,1.1289915088421476,1.0452938549724868,0.9718830793086704,0.9430321932271601,1.1208291463674536,0.9566153455790594,0.8001218662780161,0.9529857193898905,0.9713880797577822,0.7713579425121574,0.8626002297168649,1.0367963683056138,0.9055559276860947,0.8347381362764883,0.886327474278256,0.8183945028954188,0.8261690646341562,0.812029334676309,0.7997839617411471,0.80563826368658,0.7069635336951677,0.7175060408209964,0.696822226157296,0.711316164181459,0.5982121565495192,0.6316986906917998,0.7580083686889186,0.7207283425909646,0.640623331295495,0.6708244450294861,0.9485895358240237,0.8418564919990504,0.8922435304317864,0.9789699040711711,1.2242230174377984,1.1783216717462657,1.0021207583705487,0.8117057294755933,0.8072120871912281,1.1482989989016088,0.9888275065276149,0.9992697795654547,1.068411868279813,0.7398452838737032,0.6018583373089244,0.5375176426794165,0.5078306562268267,0.5320602043868893,0.5363147388784887,0.6445110384662112,1.092869278305648,0.5188525781823481,0.5643945577810046,0.6880195050711179,0.6776583058782941,0.5677435239057512,0.8379827091611857,1.250909893402863,1.4414554087893805,2.249351565977882,2.9534968392682637],[0.5038230352466216,0.3816462265710922,0.568510180424689,0.39027579848183286,0.42895868466211845,0.42428697892772904,0.3207145777067636,0.483420456322631,0.35432746342169313,0.3365192216856133,0.41224284143230805,0.4905443445105963,0.40287676081656537,0.3753336863265036,0.5393836548405636,0.49955527461788096,0.45975107078864524,0.5277345049276645,0.53367436834396,0.5249667147493422,0.5671089925170864,0.5619955235543435,0.6762236728001412,0.8604113340310622,0.5911540853817913,0.5522865153297252,0.5004863796084738,0.45642329107721347,0.4872540118182009,0.5236404906628737,0.5964523485299311,0.5934321469999237,0.6939317536296257,0.6470664305863681,0.5860090994619311,0.5535040248922426,0.5706758032889307,0.5044917095347415,0.4472340164351624,0.47548417352333017,0.7646474406426242,0.6039352482975731,0.5772283861329373,0.6934210493356018,0.9264258120271146,1.504264899904896,1.1888306847248697,1.0220316004114334,2.289216624643417,2.135760711861177,1.159821735136407,1.5223449944650265,0.9439283365954233,0.871332662592253,1.608244164852672,0.7289827336882085,0.8343588876989557,0.6724295234285677,0.818087860416914,1.0154160885130314,0.6900548952531206,0.8560387728909515,0.8338857943950915,0.9540955665124354,0.648052674950739,0.6493712103362099,0.8376318871876771,0.6399604066265511,0.8310271629392375,0.6917366145018257,0.9242303213123999,1.2209547500317677,0.9449233516281311,0.9374952376641219,0.7002251095496831,1.172714972513367,0.5984970537321419,0.6680147365815995,0.5919274729734058,0.5749756310334054,0.6085474168063404,0.6173036322669969,1.1037966449084995,0.7655037720902802,0.5649844226350335,0.5270925331642112,0.5117349440939779,0.704520179457026,0.5607757027006279,0.6769099667887593,0.5878632285167968,0.8198051058993119,0.6957928232348471,0.672391696420366,0.6204892969159166,0.7329101865963797,0.6945936987863116,0.617322512951909,0.6142152370277736,0.8979166654745515,0.6546134841390938,0.6487543646320821,0.5978052359058034,0.6049086834479467,0.5911916882196989,0.5469193906213646,0.8334190863059915,0.5186637038594847,0.5515887218558867,0.7547908001566336,0.4797674366282101,0.41521718265177404,0.3780439683260847,0.40400458267455924,0.44729455083436936,0.42183995473692804,0.4629261204331017,0.4699230344221277,0.5727066929682689,0.5640580430335618,0.497817441423744,0.4298307640088404,0.4039721095080286,0.3793123794825392,0.3596296459080508,0.3896080296005263,0.4237272321928368,0.43742764815601504,0.4235153108816965,0.45878874539263426,0.41322845036480127,0.5083205432764555,0.43369307803329393,0.6112829654830321,0.4786035244937039,0.48256671857112254,0.6812818326872982,0.42964274014520104,0.4481784154957939,0.43324900222641854,0.6057438816346369,0.5922587217014554,0.5376111441158101,0.44288159644174724,0.4379184134846332,0.4568743068121621,0.42233002663720765,0.43016121297418924,0.418002686585887,0.4225932372493345,0.5186659887868579,0.5961777406731572,1.0549954921594558,1.7514173079119244,1.0531864907990183,0.7358379821134691,0.5671212530653736,0.5648952539004157,0.5193570110137498,0.5511950221901109,0.4487943883295457,0.4698891699811899,0.4248579530336866,0.4313799318132284,0.5449981973566363,0.454472188491088,0.463409695646105,0.5618662216938469,0.6097923988288677,0.5900897295420185,0.4695011371862994,0.45323946930877407,0.47693825106903065,0.4559224398055092,0.4498398576612624,0.5175080441392431,0.5051239942468764,0.8193126717538484,0.528741581893755,0.6067660804800954,0.49748859513601734,0.4713983234618882,0.4839522767657795,0.45810541080132233,0.4681834783676268,0.5557073559797567,0.6075964301354941,0.6637823282716612,1.5720670964900068,0.8441963435643387,1.1132434897083765,0.7263015953941118,0.709020276976136,0.6626449255435104,0.504002136957747,0.45146358976610645,0.45193580668324024,0.429893352434157,0.4446034821902765,0.5066193995120989,0.4741697672498492,0.5194083895552808,0.44169926421000993,0.46583859690554,0.5359935256400955,0.5212712711102319,0.5788838959110606,0.5673964191981714,0.6535335934257603,0.5759679516832602,0.6577344476479969,0.7019414298875993,0.6725129865411406,0.7961526247076548,0.842238113973118,0.8403952128168943,0.862342334900213,0.8414316153856592,0.7328854882280966,0.753417423833141,0.8104116299508866,2.0737838761168206,1.0239110106964775,1.6762728235998245,0.8079161953225553,0.8981476939168749,0.9288119924116108,0.9820802837688986,0.7747493006299468,0.6107240673381117,0.9422568795147511,0.6644530337351711,0.7531890010741968,0.6095120466919054,0.8846479962197159,0.6789912858588358,0.777800736697645,0.9589647190439204,0.5365647154680007,0.5650011660991658,0.6683449552354109,0.7956489388275836,0.9180369546138453,1.0994117730550323,1.0078666973577617,0.929997152319133,0.912714152390105,1.1025504527556549,0.9295564011743582,0.7780769484826079,0.9548077768925379,0.9911142678776586,0.7458144585568458,0.8559370234760207,1.057548336186153,0.9285715904091544,0.8115222468196235,0.8787165260074028,0.7956940370887281,0.8094465381899307,0.789581439014789,0.7716341729190048,0.7863262147098538,0.676701125530656,0.6767885954370748,0.6758796280067323,0.6888868096942145,0.5656952783894199,0.6139580095420651,0.7658483601766501,0.7170733425790312,0.6532736832586776,0.6727541084143445,0.9961075541850792,0.8758467887098819,0.9120299735094731,1.0129358929977552,1.245596262013109,1.2469670257738354,1.0430807094839583,0.8191868862859752,0.7587263296221437,1.1415069701081775,1.013666964552047,1.036779637499739,1.0943262767876787,0.7022054338404138,0.5719892546064222,0.47132274934329893,0.4391117490706031,0.4382705647243024,0.5072961672497874,0.638031655782696,1.095510325561696,0.48098313278268834,0.5234143240037331,0.6684891691377739,0.6654945798575654,0.4981346602231439,0.6828845293792927,1.0566957370386298,1.348069256178324,2.2920158791152367,2.9629835850655173],[0.5740613114791405,0.443945620043472,0.6817137983255455,0.3894681866266128,0.4680509036819972,0.45751173876995144,0.35897378427564897,0.5470018303011406,0.3841676076435339,0.36197390576998245,0.44866714793436246,0.5481385882259633,0.4592663883016685,0.4014628358792252,0.582952573095791,0.5561854400329139,0.4922384822889561,0.5699128189744096,0.5653123831829698,0.5657071130000717,0.6023220655540791,0.6104277797573354,0.6910125282188554,0.8401904534749156,0.6195290357223826,0.56213627799696,0.5384033551790159,0.48351107737315363,0.5281464678632541,0.5806585744925762,0.6716061549930735,0.6760726712926906,0.7915476051352577,0.7536953594265884,0.680823405684558,0.6251091806002782,0.6390630849944982,0.5459281023079304,0.49030055992905364,0.5371309225029766,0.7635234091020077,0.6178012599314522,0.5834950369046428,0.6879349617686182,0.9023894688351067,1.490394987954615,1.1676893048202492,1.0417443286013022,2.3080040420984504,2.124033086102501,1.158991614960137,1.5452099453924413,0.9972627466183402,0.9003947087022455,1.6451909646881258,0.7780532863184842,0.8769103778388796,0.6981043221604037,0.8687674926864437,1.017251135533657,0.7245381406872289,0.9195937306099979,0.9187340530892323,0.9966858317072931,0.6896669481056119,0.7038948912781579,0.875657717514545,0.6879634008113488,0.8370760202517369,0.7222237311510109,0.9448812631872548,1.2685873420698126,0.992855560138151,0.9659737113692358,0.7731364158046056,1.2070610615108146,0.6817345980937204,0.7763861017560513,0.6899665963727455,0.6504161454024469,0.6867012834253656,0.6930231890274473,1.1744331077686814,0.8967126262739568,0.6112582940095098,0.5863383488458578,0.5718838224985259,0.8042330800331746,0.6393677615209776,0.7714526753090214,0.6807977304802065,0.88859803390923,0.7905270629560215,0.7706084886766009,0.7036471025271624,0.8202200496316479,0.7723276416283937,0.711773377773408,0.7012389684780301,0.9707458781470011,0.7527388606325465,0.7451630986329483,0.7107883326586473,0.7028146664526261,0.6770341219586582,0.6273721434230091,0.9309664792337091,0.6098400593523939,0.632566242073495,0.8156888186513557,0.5476113655714945,0.47284543603259094,0.4248179308093368,0.4362574685151377,0.4688408686923518,0.4246656425385892,0.4799606959924556,0.4749425255554425,0.5876135505812218,0.5921129924603182,0.5207957382639103,0.4430752083638099,0.3964950627360148,0.3810445609482266,0.3624853482982096,0.4073944188415248,0.4469007414605072,0.4857082396965737,0.479519228183269,0.5167085657278028,0.4680785545118622,0.5732102777339596,0.4926841083503846,0.665385336769273,0.5185103614556443,0.51147934073405,0.6833028977659801,0.44681044276313686,0.46888154073893223,0.4483061363264489,0.6057978786459106,0.5772727242015084,0.5279814352020676,0.4513187566586695,0.4590298637098406,0.49030628755298783,0.45005209496462567,0.4740192768199246,0.47881286793411515,0.4792681227570402,0.5796752244758285,0.6436350792705223,1.1124054255864408,1.6599752619595078,1.0098279632634306,0.8214727064137759,0.6544896533098965,0.6467032380337207,0.5999310836272772,0.6216350262301944,0.49862404346905637,0.5375834574583278,0.4660505844178403,0.4810674355164902,0.5882457069747611,0.4699383739433466,0.4851065406609253,0.570579155702453,0.6279136006325874,0.6050811645347927,0.49253577488400174,0.47991052775439386,0.520087370529411,0.5126807046876286,0.5227982187833529,0.6098049002329243,0.5858350529123877,0.8951389249592361,0.6157935923782236,0.7122142090875224,0.5518452397211233,0.5476991588560642,0.5623543468938694,0.5289373593847967,0.512844829104825,0.5910434367548598,0.6169570003209517,0.6720972941308238,1.533028055875125,0.8571474361218967,1.13256258478974,0.7039037388349384,0.716361466069534,0.6845635367737574,0.5552278315021818,0.53129963764841,0.5149024493725769,0.5086232720919135,0.5291368073823373,0.5841505614357436,0.5759678414215765,0.6122755696265804,0.5339747293397049,0.5705420465400429,0.6425118936271152,0.6160038429514468,0.6636655165751064,0.6813700131059482,0.755699842034695,0.6841813352307875,0.7708888782335704,0.8190922111087386,0.776355239500176,0.9164623955452701,0.9645258370739864,0.9473189280627208,0.9574257910997975,0.9464817299427131,0.8397926194684084,0.8711201316712257,0.9398269320542302,2.187827077508298,1.1479731992970543,1.7387251286042784,0.911554019698732,1.0027125344938712,1.0259854581467218,1.0888186377504487,0.8831038681787065,0.7297682700083354,1.0378804140239015,0.7743576691234072,0.8442934534341547,0.7235978989060387,0.9988914206186107,0.7438807491475072,0.8368232543127241,0.9360735675032691,0.622487352632032,0.6453448192653342,0.7452045095131061,0.8770623337325463,0.985794666857003,1.1999801884277996,1.0847008769304882,1.015640195111736,1.0137257737813548,1.1829516382645906,1.0106104667895983,0.8599612657455421,1.031809839027638,1.0486975342972387,0.8209269139188319,0.9447078770582867,1.1257079042966152,0.9596929582158178,0.9020893788494068,0.9778024674039357,0.8992750356053172,0.9137858980643885,0.8883932050418807,0.8846892923124111,0.9088939810267757,0.7792514223928729,0.7698302493893391,0.7909965003496789,0.8004805426131361,0.659377911567763,0.717165945057553,0.8611142410776331,0.8012184919447249,0.7163396235650179,0.7739444860238077,1.0559214183528547,0.9473024330841335,0.9841351161058943,1.0919464999016373,1.284033579233235,1.344514030809477,1.1350820552114218,0.903393853064803,0.8699069189255252,1.2331933621497424,1.0923109483177056,1.1053004752839388,1.148277271755872,0.778489346623655,0.6437886888686108,0.5509324980391496,0.49452224006620804,0.5096480731313239,0.6097698599178794,0.7568025807942986,1.1426881544178242,0.5661025597662217,0.6187571689779042,0.7537001203380025,0.7438906841018388,0.54653225586843,0.7763461757404598,0.9887094062299795,1.270650529996001,2.4613788089642363,3.273410161139062],[0.5595953563944462,0.4522713836873096,0.6602870480865871,0.39950016475265043,0.45844551147038026,0.45917192316596006,0.3561537152093161,0.5435082558782269,0.3787136661062435,0.3584724749561584,0.4400769050751225,0.540622855402333,0.4400793048473154,0.3911589900662154,0.5548602449673649,0.5259066234822315,0.47002048692140014,0.5441683229636671,0.5522764677117574,0.5429670155649686,0.5833993143348584,0.5792694749411813,0.6846394460464492,0.8542871745184656,0.5961242028066212,0.552270076003389,0.5093283730944484,0.4574813165386332,0.5011599997991106,0.5503031087216067,0.6447653195095087,0.646955535653526,0.7605403182803047,0.7168369354731693,0.6444652806118694,0.5893486541692307,0.6046551639893257,0.5079337909350777,0.455932096163312,0.4932170009075472,0.7711330642067191,0.6006425796594141,0.573767060378219,0.6788811149779367,0.9207339305843564,1.5060912077622788,1.1954828371490598,1.0333741797946325,2.305892308910741,2.169802407149868,1.1501188633315553,1.5430120769389488,0.9518307590949537,0.8620584302124741,1.6145349991733229,0.7409353318574957,0.851037405086834,0.6741751743984029,0.8346953198670638,1.0132795985058027,0.6968582876076986,0.8691158176133384,0.8734675486919844,0.9852386862524819,0.6655665060430495,0.6612481247993657,0.8516243937342908,0.6653764671084316,0.8250856261712893,0.7091292896553452,0.9199114346159746,1.2511841451440209,0.9853171161465428,0.9857421124586494,0.7471251801104886,1.223382348856207,0.6447145398591012,0.7446477134620122,0.653589535598541,0.6132421437078792,0.6524492983536236,0.6529566588004961,1.14398250137563,0.8469764350769565,0.5797362361031079,0.5514526942557807,0.5377502445757637,0.7660941882319701,0.5998114016954604,0.7402578686711828,0.6419773164366555,0.8768919581967161,0.7650137097545974,0.7381159287719922,0.6717196684430871,0.7851667790827631,0.7412330977591562,0.6778982847878993,0.6745757408401796,0.9612868643060869,0.7338563163453528,0.7383479322132344,0.6919064874546587,0.7008606443937948,0.6724828703509961,0.6252447929455828,0.9468377929869456,0.6173664867473445,0.6365961016557038,0.8076585225673898,0.5575248311817601,0.4696177742814402,0.4152183180197508,0.41335014559329514,0.44675370691855015,0.42258395079099265,0.4719831449116317,0.47477476013338826,0.5864039837115654,0.5678687291916946,0.5095372342978637,0.4356360278196245,0.4185572824172447,0.3637001918584298,0.3405691332915021,0.4047200682074276,0.4435720521347135,0.4729390019856806,0.4744246488677228,0.5152049129759734,0.47756501396272594,0.5824712289232397,0.48621157016320815,0.6606881818397362,0.5062032170719529,0.49945159089011826,0.6992283007606107,0.43547636373189014,0.45538311243747137,0.4366850500443053,0.6056936551105309,0.5863830472722116,0.5362995183730157,0.44037012554203386,0.4377567496309135,0.4598766669123058,0.42533989008241907,0.45099836966405554,0.45942702892891923,0.4694917450746975,0.5892025550328569,0.6483485906970187,1.116181648772094,1.6143881229609545,1.0075269977792152,0.8129542733610264,0.640252487419434,0.6426376292112876,0.5780023100416812,0.6114789920048888,0.4766095083227788,0.5081884057061026,0.4448831179791264,0.45290287089519154,0.547834432206317,0.4486093623223404,0.4761342228983292,0.5720432846405815,0.6327867681150229,0.6069219048540759,0.4840807101160984,0.45478109974919073,0.4932592830289388,0.48884482130933077,0.4996327681520503,0.595966538751278,0.5642113067168076,0.8800077179354653,0.5924312960787457,0.6904936763742031,0.5445997940538262,0.5335324455255986,0.5485296757823409,0.5164465273874566,0.50343563543683,0.5844696659654771,0.6092877628513055,0.6559714947969426,1.5730285544438296,0.8412791865543695,1.0886204601206757,0.706034003767662,0.7062324475022638,0.6732966478700003,0.5448988562368339,0.5357415212002549,0.5238286120438133,0.5115547849656283,0.5256895708787929,0.5989710776950531,0.592031152041141,0.6299315689136037,0.5437098596189175,0.5782562054470016,0.6531998242818431,0.6205440089695431,0.6915398427406155,0.6823008753031282,0.7635402146051294,0.6682474613244878,0.763543417080728,0.8041489780717653,0.752879612806543,0.874728315045741,0.9486080897213737,0.9506567865379566,0.9548769835231541,0.969996688416157,0.8440828560591976,0.8874743185482558,0.9631625975239178,2.096400561130239,1.2199549734660817,1.7804150216534613,0.9527846174906267,1.03822963994601,1.0535673445410134,1.084818905768255,0.928268654479815,0.7494858220278798,1.0353945707866583,0.7766491502613349,0.8785916225739552,0.7521111526669783,0.973639240800515,0.792988018596449,0.85912895647984,0.978150124847506,0.6489267520073787,0.6600391570308701,0.7407678911105732,0.872437009180961,0.9847657483472,1.2323859086926998,1.0991723684225134,1.0281297810776002,1.0520783476665798,1.2359988163037194,1.038249240385619,0.8895255642648537,1.0876667997976444,1.106564119072785,0.8516192593193072,1.0099342990669544,1.2073624161331957,1.0139447628049378,0.9304636640996223,1.0195574645765775,0.9336002631875379,0.9661604919724948,0.9355114935200366,0.9365946913935819,0.9452292208978813,0.8000076545895807,0.7958460267653024,0.8183311321631463,0.8142404745190713,0.6794725890888865,0.7534798217936932,0.896767391154747,0.8263502504385777,0.7468382621393783,0.7988449053785542,1.1160281883011003,0.992730902540359,1.0251878163235228,1.1408370744239187,1.3087611509946167,1.4202772077741666,1.1660352545461499,0.9232983257126953,0.8567242073385699,1.2404199213026086,1.1197144399558348,1.1435399001999302,1.1673423948909625,0.8078954983892828,0.6532513155495077,0.5446589418357778,0.48553399205605946,0.5091905867082157,0.6224947197384558,0.7628937483516752,1.138692614197948,0.5762861591156427,0.6036541011218267,0.7474979391584599,0.7864885502124818,0.537208009648431,0.7044847262792088,0.8656246668680262,1.2818076068420146,2.6652467151150345,3.563176535426865],[0.7673669797734076,0.6550236961650794,0.8524213964703549,0.5337688980915067,0.6270550010569674,0.6019708988991336,0.5078543551096797,0.70506233809555,0.538156049501623,0.5115770831299704,0.5982816817676033,0.7246598461416985,0.6198586912856157,0.5437629713335582,0.7316516436780298,0.7142242652351427,0.6232110089981494,0.7041082601627573,0.6797559619535709,0.6919113093140677,0.7130842951950973,0.7422036684969017,0.7860017725753428,0.8876378704048064,0.7264337912771001,0.656486028157974,0.6495951050717725,0.61179277743829,0.6725119038605127,0.7480631983852137,0.8359875306288403,0.8735514457594106,0.9890972886615077,0.961388084281497,0.8773163479800661,0.8023635395286912,0.8394282671830988,0.7211731867023063,0.670477526806404,0.7192296078583416,0.8947089247646957,0.7598413604670463,0.7358036023547602,0.832007630509614,0.9654771179331172,1.5832096943105098,1.2653590372297314,1.142437754917168,2.403068249222775,2.2616428970859768,1.305812809935865,1.6567587057263717,1.149825414994768,1.025946416510572,1.7443937762031347,0.9470768788504011,1.007339775765211,0.851137167126372,1.0103072582054722,1.1209376290645308,0.8728569616094943,1.074797534945681,1.0822193249195886,1.116937308905081,0.8287372571474044,0.8528701105199449,0.99336100893647,0.8110562714500097,0.9194774520024265,0.8168369491744938,1.0324963215955245,1.3277024235426222,1.076458529775653,1.058177094038823,0.9102487455571153,1.284687485720061,0.8500865121938855,0.9592502587650441,0.8806153253642226,0.8380039760675438,0.8701330595732867,0.8738847869441381,1.2871246103255922,1.0839067741950328,0.779166669801287,0.7750500943699118,0.7681151898873877,1.001624703077361,0.8232745604843161,0.9631409979763952,0.8750429837738025,1.0316304124369853,0.9741099337568488,0.9684107295526063,0.8760647734423026,0.9765222429070224,0.906914407030313,0.9059583160040021,0.8946145728281069,1.164361506521514,0.9680571180389701,0.9679949348256529,0.9306244304373066,0.9176620860207892,0.8856680069267865,0.8331064755564522,1.1173374556184557,0.8231410847401319,0.8291169731168069,0.9707055223202947,0.7439926231531546,0.6431265406103194,0.5808405993850788,0.572852279456424,0.5815929044350643,0.5255016795438269,0.5812333057238521,0.5424692203743143,0.6555349338219548,0.6927397945891,0.5948042816870535,0.528589631009085,0.47368870326021756,0.47550040474339533,0.4712906097192595,0.5396583040937007,0.5710879392233822,0.6368707989681557,0.6541255298814643,0.7228277448890758,0.6586599187647197,0.7720040665212591,0.6848750669703512,0.8580604837553513,0.6843367059948958,0.6662702397861796,0.7629226213990977,0.5711066358101723,0.5629565607389252,0.5436626220318553,0.6379058482007829,0.630714437043304,0.6039997989768665,0.5621125974666012,0.6066600081520709,0.6506552268070461,0.598264246793727,0.6358138897531882,0.6510900103664218,0.6481108561137706,0.7675269053983748,0.8184295825528981,1.262824401499024,1.631917572173975,1.1291806184566107,1.0219023627274917,0.8456621646200174,0.8489826694627195,0.7941064298980002,0.8061511583417199,0.6723174017686836,0.7074039910811236,0.6050037547888388,0.6402135224295644,0.6947884696572553,0.5692848662461572,0.6044586719770894,0.668675915369346,0.7277140978762775,0.6841229397875148,0.6080586482875714,0.6035346168368134,0.6625965212112931,0.6903560503376132,0.7161327619132534,0.8091444397975701,0.7780166406479038,1.0707464252239975,0.8154344453805275,0.9135161733175494,0.7526736275527345,0.7515295219901436,0.7561946646515888,0.7226300141656706,0.679924292690195,0.7515085723691343,0.786547323678359,0.8240829221199821,1.6202656961695194,0.9689970790995791,1.1718502770052117,0.7960435134752549,0.8266535729913814,0.8114940824412279,0.7117257588218289,0.7142474942121969,0.6874454859341068,0.7239303691105549,0.7239875608320667,0.775783500278453,0.8150301144567752,0.8413983622019184,0.7530582000338486,0.7882089473336035,0.8767967879648658,0.829736576004144,0.8501552241306635,0.8998590494532029,0.9676901509077734,0.890632561847217,0.9950980298570591,1.0520876658927028,0.9904600851054706,1.1274164478824211,1.202634056549118,1.1768494880788591,1.2007661601844517,1.1941919562077083,1.0786945189261412,1.1322524989298839,1.192835984133161,2.2396581823456265,1.4241608833204693,1.9208034809512575,1.1333790893226,1.2106407485282356,1.2286426268178647,1.2774247931461709,1.0971674063994052,0.9715220716041244,1.2166997363126548,0.9999011860482471,1.0517584618622526,0.9557140647863096,1.174212904035907,0.9545667681885427,1.0091165358338392,1.0380800664411631,0.8350516306175508,0.865824638337575,0.9522818969898181,1.0842736374055546,1.176114469114182,1.3904132603204975,1.283513418554475,1.2071230334763163,1.223651928716717,1.3886282888899835,1.1973769305949125,1.0639982089125497,1.24253484174993,1.240836007297434,1.010276563772131,1.1772013196964992,1.3368479334913546,1.147617195856034,1.125197045167648,1.2102420471929665,1.13320122369866,1.149964349937651,1.1119422115066477,1.1234153222512109,1.1499597060602946,1.0102370457266154,0.9922602788973898,1.0342039252695412,1.0302920143108643,0.8928793514625377,0.9607869389121325,1.0808630362249234,0.9991743709800243,0.901638019910142,0.9796210929354904,1.2473389310947978,1.151578038078826,1.170591039790435,1.3089050543242968,1.431877748741468,1.5829996252244334,1.325080257662003,1.1038141446204668,1.0456391972303787,1.3798421355425128,1.235953419300984,1.2486496959441606,1.261663790279685,0.9438949623024397,0.8011858068305979,0.7077192769770884,0.6303883001143017,0.6839569433624979,0.8150255194049851,0.9512533165967428,1.258894840887757,0.7592324611201867,0.8035283663945741,0.9177979146032794,0.9255287983462849,0.7006256275645572,0.9172836802645674,0.9721254031077029,1.3728783773490887,2.7701045172871743,3.758145289519002],[0.821752950233784,0.7293177184789953,0.9447929958694699,0.5865672616562094,0.6692008499836635,0.6601448732425681,0.6013225615725744,0.8037791228307838,0.6588235624676537,0.6366445075818008,0.7288472779319173,0.8644758179330034,0.7512702277125813,0.6673145349590163,0.8829762045252524,0.8706684046913095,0.757130656881997,0.8364633660829778,0.7954057684787116,0.8418249418370868,0.8344911956787671,0.8580950176687463,0.8954097954450143,0.9161026728957071,0.8561562353358226,0.7690499429931555,0.7611071596774768,0.7291506715127462,0.8073449467509873,0.8900874573994014,0.9815946602776668,1.0310590303656868,1.1441340510636413,1.1190650621956038,1.045528626928846,0.9440107455852096,0.9955229886192182,0.8717250483841422,0.8079607385302991,0.8511710785423903,0.9764587419061329,0.8958508023515369,0.886144967515205,0.9472395085152636,1.0997501796003537,1.7640916146365155,1.4236494844469336,1.2862545968070382,2.5575867509970625,2.4710444556843263,1.4426896599428196,1.7980012390541495,1.2274650520116324,1.093727417819396,1.8055492500025223,1.0627820316861034,1.0987124366041565,0.9677544514267117,1.1333997925900898,1.1906100054733129,0.961214021657417,1.1853408753538615,1.1933735192988102,1.184554253833211,0.9608457344229809,0.9879610357551599,1.099348417931293,0.9484605366220222,1.0068468408533306,0.9483222561278799,1.1072380297644435,1.3871366730845123,1.1530182034188712,1.1141873047714952,1.0207530847339505,1.3628247803214542,0.9840441609010954,1.1096115265237476,1.0289358552768344,0.9974186870955767,1.0219148947774621,0.9760280218028146,1.3541949454507816,1.1767699864410424,0.9053796501185967,0.915208383164749,0.9059762092440311,1.1466722231842124,0.9678867528479076,1.1227408799738972,1.0154347384968783,1.1493763064327338,1.119923321785702,1.1219308588069439,1.0349762869001646,1.1268413941021336,1.0608694644377128,1.0650255803903226,1.0493127794410317,1.2825898981088895,1.1155056518152324,1.084371389173995,1.0644360262438088,1.0247056295069232,0.9857339921570394,0.9037315514868237,1.1823292004131916,0.8914121536089913,0.8821163360651337,1.015701758041591,0.8131651379784935,0.7431062478878209,0.6997781409611472,0.6906250188872266,0.6963760623818283,0.608026854012064,0.6833419548393008,0.63078122552279,0.7405575745962859,0.8010048395204344,0.7049718548967859,0.6342110281576091,0.5543319154029188,0.5688781329643169,0.5838228865743564,0.6256063099295901,0.6713738085683928,0.7322665797162816,0.7361351291784445,0.7960866431450434,0.7328953666664938,0.8406093741608509,0.7769964339081795,0.9215919644821898,0.7796709584290079,0.759679252800829,0.8312849619001851,0.6334007977196517,0.6184836211670568,0.6263589445129061,0.6934366011630446,0.6875339333740806,0.668944260665228,0.6485621140638389,0.7300256323686697,0.7813449853977956,0.6954431424228764,0.7463512843958499,0.7697661185446829,0.7677317643707346,0.8745449398421804,0.9206328778926895,1.3105771015044345,1.6061005651401716,1.2238071545434055,1.1135249916759071,0.9650521876065697,0.9622122764954548,0.9254665090519788,0.9120720595705378,0.7815772752821957,0.8262823418619943,0.7087933848118039,0.7605892238909688,0.8119967152696509,0.6559472286941447,0.7118676154113988,0.7548369883101477,0.7975008886761921,0.7669428266703638,0.6988338708692711,0.6816657829884669,0.7723815522541713,0.7943358436503649,0.8330481088868088,0.9327519082805871,0.9143013889782247,1.1843760780396195,0.9418489194230735,1.0322655199569766,0.8520227149456647,0.845026153847019,0.8494697211885218,0.8330531700183884,0.7916445533421624,0.8723620011171924,0.8959946335601876,0.92340809091533,1.6331752512884872,1.0186603414356463,1.317297732027358,0.8088735737657902,0.9034936758818535,0.8902014402315109,0.8003574938599499,0.801027862614677,0.7484252482643589,0.7865608373592069,0.7934710869911272,0.8220678451779101,0.8633159011894233,0.8822669917903143,0.7971241265961762,0.8502510171961569,0.9210370891290074,0.8750575560231196,0.9247433773715968,0.9715925317224166,1.0146470202155264,0.9508122842688699,1.0723954167122096,1.1269303046055603,1.0504087157162658,1.223057229770549,1.3045926568106367,1.2672350514510682,1.2807990830803961,1.2828331886663298,1.1567710425633402,1.2023897390153173,1.260164490114559,2.2709676709126567,1.4951494411270962,1.9545790406957602,1.1914230474790686,1.2602307923936358,1.2549564155325479,1.3157689587372134,1.156954963484532,1.0240432843148486,1.2401819529160036,1.0386869901314288,1.10192599335918,1.0081803791110864,1.217512855338591,1.0234422760373627,1.0861820106281939,1.0459401778660828,0.9065836649129255,0.9067838179091434,0.9951757121507318,1.101918392675413,1.1940643689244514,1.4509350209859506,1.313740763598037,1.238004878307978,1.2680801540961764,1.413104024597012,1.2537678434040156,1.0964182140273997,1.2636543612024924,1.2596721749062074,1.0478433481825926,1.1968067889188354,1.3386973598980028,1.1523007765846347,1.1555981960913615,1.2312715280940063,1.167565199282293,1.1754798336539494,1.1485341404612017,1.1588213243033447,1.1916199068000033,1.05933190523056,1.038390242969133,1.089855266645197,1.092131459920125,0.9519679651685087,1.024276585315268,1.160467820908141,1.083616040785936,0.9693860454375248,1.0785585769590873,1.3045407287889685,1.2173484798804106,1.2501417521756024,1.4169910361709679,1.5042464649090792,1.6784796536092064,1.4158765148254382,1.1849776355370478,1.1443198066599678,1.482482426179639,1.3260405199263874,1.3350062270270455,1.3280001409137603,1.0280507987324612,0.872799863389724,0.7747581934002048,0.7073924291702155,0.7469627308531497,0.8653505179783464,0.9927746322012564,1.269950405818169,0.8107204586609205,0.8496773450857562,0.9565034018225059,0.9876158838767254,0.7402510254023453,0.9499565713869478,0.9503868935276495,1.4839889192756632,3.0303200058433486,4.144741102751671],[0.6885034058453557,0.6006411891856427,0.7934454267131341,0.5259695186457217,0.586863683288461,0.5609011330407655,0.4444348065543782,0.607588727969174,0.42177817070107093,0.3872286683201558,0.4471246830585993,0.5634424738570123,0.4574356949270589,0.3847797355479811,0.5519818716253327,0.524499961094029,0.46624870780298144,0.5158255643476474,0.5291622920869011,0.5245019767774377,0.5388125498613583,0.5503497769516911,0.6212238290851533,0.7494879449510355,0.6042243324420333,0.5268593408461366,0.5069027480921762,0.45006545886668575,0.49745121932959235,0.5631434522340095,0.6390102254414601,0.6525637919443146,0.7626645334936973,0.7215965093434473,0.6694648898549916,0.5866348118487774,0.6306781438715505,0.5169164322515521,0.49516866166517604,0.5265254273227813,0.7943821092200283,0.615014089727115,0.5910179037362867,0.7099900909338277,0.9035210450774795,1.6068550555959167,1.2833170094475685,1.1033330360798832,2.393904798730565,2.363096919360771,1.2302306089793904,1.636151775947458,0.9765907846958184,0.8417484386572799,1.5854940878942085,0.7714734545675654,0.9086879933145041,0.6779837899196749,0.8466870052435396,1.0454703123052722,0.6960783676315534,0.8673377680055222,0.8675071740233656,0.9141979953576016,0.6262740475092418,0.6506974495316108,0.8016490761906835,0.6349499178777751,0.7894921952361676,0.6996392611215048,0.917443947217946,1.234943521181662,0.9770028578029237,0.945349881117326,0.7138911839644368,1.1397750577643004,0.6118020038856965,0.7236199947424641,0.6457333447933521,0.6155829982356349,0.6607695475274177,0.6771847855202172,1.1535334308332574,0.8629407598129701,0.5963066037053982,0.576464707620186,0.5542553703269512,0.7941599184229754,0.6071981848941329,0.7523598190450372,0.6264488913643137,0.8406636729383603,0.7369685014909749,0.7293552836085796,0.6661877916211608,0.7876345650673607,0.7441630908121021,0.6943540308233462,0.7078344955603292,0.9693327985936399,0.7621657250881105,0.7754505570387089,0.7314762044968296,0.7507782367728666,0.7298545064596247,0.6929413444210045,1.0230607687105053,0.6964361596171663,0.7200058199359696,0.8578073809077748,0.6315950575773528,0.5213631611683471,0.48940326133503415,0.49310878257979296,0.5053429403245074,0.45870329680155575,0.49050878369466455,0.47264358883251006,0.5238797133851777,0.5266219579091104,0.4682204682171529,0.41469007775987393,0.4149288220043258,0.41581924456289476,0.4359068636434821,0.4887920612735026,0.5261449186612014,0.5590441329062393,0.5538396369010332,0.5937384727157227,0.5713430291025186,0.6707714513622248,0.5831934947636656,0.7297382542776534,0.5908842817475901,0.5904352129299522,0.7493257147945569,0.5264416590820182,0.5239664540896949,0.47837196881012206,0.6076337564082712,0.6043069351622098,0.5291879812100172,0.46573133898620633,0.49154205445491367,0.5086790998704797,0.4629104047962479,0.494748595887592,0.5058379875981006,0.5249644944111865,0.634841346824058,0.6782972311930306,1.0948973577831824,1.4940583108836571,0.9928783178779209,0.8250700843093854,0.6679300657656954,0.6786460905327302,0.6096963189823053,0.6685137588613312,0.5317843993730077,0.5413246018276308,0.48899258269495793,0.500006196342588,0.59960213976497,0.5171575901313489,0.5562248712174448,0.6509101712835226,0.7124315034241037,0.6767197687353352,0.5654745380639306,0.5360196337668323,0.5602406356978024,0.568816940104649,0.5468673652466528,0.6442618777824966,0.6028658647164041,0.9112799698135108,0.6318842352672001,0.7277013796099143,0.607265226332425,0.6031686415177375,0.628721612461701,0.6196707505678383,0.5941700377872176,0.6688319027248523,0.6525922203006645,0.7017280714900197,1.554407094781735,0.8584311613464011,1.1240784064044018,0.7144912491390701,0.7655668172075794,0.7478569348118141,0.6363224747762458,0.6371075863017618,0.625685477847838,0.6183278738664821,0.6466159114408653,0.6879817914871832,0.6959576768716966,0.7125703809789887,0.6383449093357033,0.7021069801482973,0.7575193001544008,0.725093666213695,0.8042188122164913,0.8080105995865092,0.8519830332206881,0.7996945267791965,0.9053720563568741,0.92788431523574,0.8689494210229177,1.041296457816096,1.0946374507981387,1.088731912350384,1.0662209647363545,1.1084894499595612,0.975271828210554,0.9975608437718336,1.0612183098039167,2.133403103744604,1.3038365374743495,1.8188969961573063,1.0319196175334866,1.1074024661288215,1.1142381809350135,1.1481720871424381,1.0257363606067484,0.8544535568348788,1.090371905497889,0.8607506465311477,0.9606743581814281,0.8544270373366055,1.0498893971700036,0.9079099417367748,0.9694539935106534,1.016057286341407,0.7738243701277365,0.7469501919175734,0.8052098825025048,0.92791542015006,1.0305903127950227,1.290300690549063,1.1417633399697706,1.0732646160404333,1.1067066982942944,1.2603657580771563,1.0927071233633319,0.95158335816948,1.1356356953975497,1.1566551956849591,0.9099107753186235,1.0581587188595365,1.2411236873283604,1.0657379558909004,0.9933423228039666,1.0756851943300088,1.0049619719300673,1.024740027977465,0.9984161762139238,1.003218652490922,1.0235476147800724,0.8955708870518388,0.8874277089432157,0.9143575813789447,0.9153284992975941,0.7967200639286403,0.8592306133099377,0.9915512746397755,0.9394937456670631,0.8633788618275254,0.912450597177003,1.2129258654671504,1.1109120626389843,1.1488872306184454,1.2888501082692105,1.4188665419020896,1.5478367690795423,1.3037002948478744,1.0657574778366374,1.0158575917054222,1.388414036261942,1.2503988564316388,1.2666021742752427,1.2766141102482087,0.9267114946995804,0.7744885190697594,0.651077417107677,0.5860307072832275,0.6143335163084123,0.7130397874764907,0.8480096598640712,1.1721583742820856,0.6629385360153681,0.7009600931095518,0.81912672869819,0.8444583701143037,0.6197138377643486,0.782523269874282,0.8486218470957414,1.3695164326890161,2.8986462173950307,3.8842725942708385],[0.5522923196393886,0.4365450736938733,0.7040958529524989,0.3750321874200313,0.4703603483429664,0.46893388719107537,0.37335946891745414,0.5779251025228602,0.3929911314741571,0.3574890955348388,0.44543572367122203,0.5678537202881974,0.4519558935195704,0.3741750359771449,0.5626978536290709,0.5313348956933046,0.46394889050420085,0.5216863084429243,0.5175476462606087,0.5278135557032315,0.5339736249263629,0.5548764066007729,0.6235357864158853,0.7395322471301117,0.6160565012810867,0.5173298454777915,0.49891802733430757,0.4504424663422461,0.5009521442753577,0.5717532184398584,0.6443729555839129,0.6583356710431142,0.750095976741819,0.7142149269265117,0.670201930060859,0.5948320228506816,0.6422190481856577,0.5328768424617362,0.49336961943073926,0.5342278891591349,0.7833350956120863,0.6156956947980694,0.583452070383174,0.7119495028092654,0.8818298906235275,1.608091584512628,1.2761531340745866,1.1040342707049131,2.418738368507564,2.3604543423917708,1.2539458131823746,1.6387000486987866,0.981820095826924,0.8549339209426157,1.592903954409224,0.7741080884054741,0.9098322973067372,0.6728599091197313,0.840598977325108,1.036693104946922,0.6987406066341368,0.8786670740237258,0.8738073170415427,0.9029765770231255,0.6247856759848056,0.6632817060123477,0.7962513138513749,0.6325249471746984,0.7611322949769429,0.6935751057255353,0.919179259561761,1.2195715242408032,0.9672387187382965,0.9100579673961282,0.7115316490022441,1.1188980765838152,0.6109406844471608,0.7203876638447582,0.6474499539845234,0.6197438765891606,0.6632891826349882,0.6827746730307029,1.1522721695509093,0.8687332096542387,0.604462204680442,0.5835525153966042,0.5645084540476768,0.7994795385210675,0.6143523759608377,0.7518096945718724,0.6273782471903205,0.8299239107868714,0.7359799516365355,0.7236359078476619,0.6709371686902901,0.7927424946170303,0.7558051831677534,0.695929358049964,0.7065696420658302,0.9512951162826113,0.7543639952033132,0.7613369196809121,0.721918032305754,0.7313959123858608,0.7099486122854152,0.6633479620239037,0.9792611118486179,0.6422117028454292,0.6615076754302832,0.8273075349166216,0.5822109327232149,0.4941099860762315,0.4487668532115921,0.44990633868329055,0.47050969779968127,0.40991759418057805,0.46223759730496,0.42493466240248184,0.4980961793686503,0.5363790938373432,0.45184651986770924,0.38847289656804174,0.3478989961101368,0.35610776843023567,0.3624488886654566,0.4162032563896377,0.457387393214498,0.5074821999020389,0.5007615222926806,0.549328935177783,0.49809732601028683,0.6029994864682047,0.5276309755801193,0.6924675819755595,0.5484983282887843,0.545476347135746,0.6980445286974464,0.46416599751197424,0.46336099945559206,0.43658029821533234,0.5642047884881273,0.5416068670872554,0.48184519862153635,0.43294426233667116,0.46951144586283555,0.4959977564532497,0.4385517275593938,0.4796160653273301,0.49465290533663836,0.5051528668950672,0.6179952339919134,0.6708562620046409,1.0962982458107764,1.546464730396493,1.0048875543901827,0.8138335376798257,0.6634020032436044,0.6722335626592917,0.6090593294055048,0.6489049471675441,0.5171134066555951,0.540223595808913,0.4653390202711022,0.48520135213516424,0.6008575435329025,0.4728055120482483,0.5123492154850745,0.5963725586647008,0.6603161462294903,0.6313114528820536,0.5139391029560779,0.5009439036559891,0.5418592205966318,0.5403291037585756,0.5391449758465984,0.633732918956267,0.6008833868965631,0.9047220881579837,0.6257098649939419,0.7213235655461228,0.5817267466478269,0.5746769022502646,0.5918500723024613,0.5738225665794519,0.5471349829944105,0.634489971702284,0.6495174954333005,0.6844590755285884,1.5348283050986997,0.8714575726507167,1.1325164761879687,0.6868214793633758,0.7271552234294592,0.7013654059311663,0.5814826629922955,0.5665341409213043,0.5428441107585728,0.5337830247043891,0.5482273580346587,0.598991523406982,0.5956767831947679,0.6282464045387951,0.5510103912649148,0.5861913729484917,0.647260684820452,0.6208306018586502,0.6809664290487375,0.6844962063727228,0.7514535908548057,0.684783958770337,0.7743721239214951,0.81091039728952,0.7649279960904364,0.9257523728431332,0.965088600580128,0.9474162882301891,0.9431444107497551,0.942559779030603,0.8359170418624164,0.8611996055296689,0.9275639100240826,2.1654348421907,1.1480050327441593,1.7452459558787532,0.9147337254942596,1.0071459620873422,1.0264247956520502,1.0793956676330667,0.8976381418404149,0.7421171831643654,1.0338634459639318,0.7743070154957719,0.8593081356635776,0.7463646583925568,0.9979562749388183,0.7672851887482145,0.853358321713839,0.9494727031022164,0.6588130570736177,0.6692713922229273,0.7441581774981041,0.8695278843141633,0.9784121113549196,1.2061270514285205,1.0816416044582609,1.0163093536729597,1.0156350539877184,1.179974250360277,1.0216114250581296,0.8651183892203932,1.0382690661415428,1.0655739642603317,0.8216617601233763,0.9399965818334475,1.1262732426447013,0.961600598765619,0.8870537717330873,0.9576810049924788,0.8874673891561488,0.903334329184362,0.8898429233721316,0.8829644285472201,0.8977458296958299,0.7786684679968022,0.7772506839788433,0.7887657344135116,0.7963269978930537,0.6670845801588897,0.7256555401007283,0.8610960378182814,0.7998289306853305,0.7197430774199635,0.7779070834166137,1.0528949343028986,0.9443195986006017,0.9810033881451066,1.0911807145059578,1.2714025342820314,1.347603520606583,1.1352481332096638,0.9068300856404947,0.8852190888976424,1.2471446709896543,1.0987754483215733,1.1054423741367327,1.1452195188997525,0.7944852862078567,0.6576640593376806,0.5639458066615506,0.4999490673927916,0.5195469063287161,0.6350988059394781,0.772229649888655,1.1471233304760982,0.5873514001227881,0.6187802192650719,0.7558038225609937,0.7798812768095921,0.5339224620391329,0.7574000615437789,0.9175826204003431,1.2862658768120963,2.695501917826445,3.4812832988568174],[0.5168322697659685,0.39518653418653377,0.58987450396963,0.34978970864526665,0.42003377158500005,0.4181530157090021,0.32725578675542694,0.5304018966685637,0.371659401495204,0.33367660461976795,0.415198000771237,0.5461698228198705,0.4116588660643408,0.3517315778175677,0.5095855134836614,0.4743970509165895,0.41568215685552656,0.47416469472506906,0.4871135473436423,0.4916141839947642,0.4938402830469955,0.4976248801701236,0.6008714640627213,0.7435936933653431,0.5998155692925792,0.5037416860904556,0.4642198945958565,0.4148991132527397,0.45113470228777874,0.5033012022999827,0.5655227493016052,0.5787272639027473,0.6774879564188635,0.6154292847040943,0.5822453226021378,0.516879781465786,0.5624964551043552,0.4714848646274249,0.42762336942099016,0.4510495342324704,0.7590413734285665,0.5769629859608556,0.5363074592510515,0.6926764135598283,0.9083380731401307,1.6303970151113685,1.3189333310674554,1.0879898901386695,2.3860430681657,2.385307536975661,1.2542305628712116,1.607891744194045,0.9254806092020027,0.8168625351551057,1.5584235102148192,0.6936947923336966,0.8302554672922873,0.6146498079218821,0.7695820086752243,1.0061335471779551,0.632638572021853,0.7802850543478077,0.7728854127000117,0.8568364793851588,0.5742157091568755,0.5962014696822847,0.7546415945638583,0.584366947434707,0.719135684687179,0.6446165426446189,0.8699335757990162,1.1621654006420743,0.8977621031805452,0.8690100078132271,0.6320625396993544,1.0687993366677992,0.5324735482372414,0.6194001867288541,0.5536331537503647,0.5352102150704705,0.5758803568955834,0.5836179674246564,1.0683563489577326,0.722260921913945,0.5401259544103527,0.49904178458384946,0.4811246238797136,0.7021369047556018,0.5314643519825644,0.6535338577011514,0.5430710190423161,0.7502797359786214,0.6375113204127113,0.6272045020327691,0.5856291383324067,0.6951038033039175,0.6721716741451778,0.6240000368575742,0.6392578977400589,0.8927638366568064,0.6627149443888676,0.686538850129324,0.627378179965722,0.641295543841639,0.6277965716548657,0.586347280579835,0.8803763445978504,0.5501917126076917,0.583511799274774,0.7883715588814512,0.5287082652366524,0.4337193669705243,0.38763201039811346,0.3949569812020762,0.4270100514223072,0.3722784385918833,0.43923660296317535,0.40794158531885083,0.48709304830775196,0.5114629668227961,0.4308056138207866,0.37442039131660204,0.33617438234090025,0.3345984072940996,0.3271345968884524,0.38098689984028117,0.42062465204779964,0.4622227174198305,0.44759968518992627,0.4809519211176543,0.44805080245953827,0.535144138487708,0.4704199104396919,0.6048563914206277,0.5022046072642903,0.5139578099014799,0.6966794342612781,0.42026424879315805,0.42091473704258564,0.3936971771087621,0.5516859433354867,0.5399190863354001,0.4711637913510284,0.38816109281030114,0.40854737454359696,0.4432374138496597,0.383908584041673,0.4325657159928812,0.4373518156637163,0.45341720943078745,0.5649905577779877,0.632008431797487,1.0605184599089017,1.6110052092961396,1.0468925681361352,0.7542335957804921,0.5910950464556614,0.6017392399942105,0.5341509466430904,0.5887948137774855,0.4615927716660056,0.47484183984884804,0.41397371690583484,0.4198527899563372,0.5366059817490709,0.4369039251468953,0.48316507535665576,0.5889200889739489,0.6514389249344101,0.610039963110539,0.4826978170826601,0.45417238198083726,0.49012664503486086,0.47272804275961355,0.4628768156205458,0.5503961234970343,0.5219696382220397,0.8225802282196557,0.5363079123623922,0.6221857577430009,0.5182767859891031,0.5016834116321345,0.5116253028773278,0.4945040945414395,0.47766847279816915,0.5691866295703334,0.6135098035116033,0.6394461291202538,1.5841115832547197,0.8354234107581505,1.0798280871448052,0.6914341809831877,0.7058457538760036,0.6744532438447618,0.5346622493051556,0.5037650030454967,0.49785251506420947,0.47176483469805924,0.481563068061296,0.5457340386848627,0.5059050961035646,0.5560356210680475,0.47695205824769854,0.4899210590275273,0.5410381649547752,0.5274273658631715,0.6012528333199592,0.5653263585219181,0.6484517138086369,0.5526624048737792,0.632353173299512,0.6737264097083582,0.6434409124738741,0.7600466250375164,0.8124059836270521,0.8089887225145975,0.8547315952968136,0.8224661820123528,0.7204463968398555,0.7538708189301045,0.8243166631515407,2.071659201792322,1.0148975389637855,1.6150938711345701,0.7935321719079254,0.8846252237410854,0.9245470885126684,0.9578213347999952,0.7966712228622314,0.628058950221126,0.943993304509284,0.6586240885788855,0.7762395286853846,0.6427661006034988,0.8761541171689344,0.7324150291615978,0.8147129415990739,0.9830565604397453,0.5846358516118718,0.5843226418016629,0.6505661525892843,0.7634850440529756,0.8891250785605027,1.1092562101017165,0.9936840474513868,0.9168634144921332,0.9094261018671086,1.1056864007655425,0.9405011765577911,0.789413229987557,0.9819968777290385,1.0323505780196782,0.7691676080535325,0.8873215641298102,1.1031299324309491,0.9724020967252532,0.8219230793689305,0.8902086336921677,0.7994752311746177,0.8238117632170051,0.8046307838048368,0.7854809626923965,0.7865346470184443,0.6800582837174014,0.6896933422136324,0.6886705068458627,0.6949148249265907,0.5800852285913789,0.6337822700888458,0.7822582365535126,0.7271743332899552,0.6688492590040853,0.687583917423451,0.9981896611434669,0.8670900269050921,0.9058811195794758,1.0042730078086974,1.206860328935442,1.2422307513850512,1.0339997957372329,0.794027722917464,0.7485585786004314,1.152918955364612,1.0382019498614545,1.0573726510288035,1.1048929330832196,0.7336431177642092,0.586395218652142,0.5066831893669347,0.4642820874474837,0.4571920069744764,0.5622875691511098,0.674973081073045,1.0879750821750576,0.5344701603932357,0.5397674714931189,0.6823771020411473,0.766697260252269,0.5034317192625675,0.6588022292834514,0.962976135857244,1.3204623286062809,2.455845964890822,3.083563320538021],[0.47262244402426906,0.3264531771274754,0.5180322780343669,0.33697028575505655,0.4035676780246733,0.3971937912320117,0.27892766850712997,0.46047288245389967,0.30324276467452804,0.2779025459569012,0.3596920165986641,0.4716021178691435,0.34156733052457705,0.3009516095828073,0.44449645720370734,0.40114163959486343,0.3652509758646262,0.4193680031158507,0.44199579762699537,0.4356197173271222,0.44677611626715114,0.4485532739383707,0.5598825456233818,0.7142159648287596,0.557342989703426,0.4663607722168079,0.419953151336173,0.37134819797110835,0.3954065477076679,0.42898152871633327,0.48525718418967,0.4859067914882539,0.5785168113399288,0.5197769463609497,0.48110853662333436,0.43945218003108494,0.47897601581101656,0.4106939632766579,0.3706233654738968,0.39319732748105446,0.7359659526230923,0.5457952585996011,0.5050270472220418,0.6628748866046521,0.899255730100598,1.6162620598211508,1.303162952377281,1.049068123681587,2.363074600859944,2.3327279261161857,1.2043092819316488,1.5731202396220771,0.8862169379080641,0.7976932672574076,1.5383641665809888,0.6581791846868743,0.8000490200522731,0.5854598058547061,0.7392762369322311,0.9930143450396334,0.5959037130822844,0.737888809630466,0.7185691290212696,0.8059047739178552,0.5275216047889997,0.5359725491971479,0.7178260267058257,0.5311915400020069,0.706986765023755,0.6236674257109948,0.8603999566557613,1.1403388513173711,0.8713248808221373,0.8356940727024074,0.5843330887148067,1.0441878637740931,0.4620132380492475,0.530421201440784,0.4672436339261839,0.46901994068439046,0.5056684850349482,0.529012530146205,1.029541599152043,0.6647453189519467,0.488120755703585,0.433625317178749,0.40872442527110536,0.6193477900174409,0.4537306293783206,0.5729423761238989,0.469230650627425,0.6845708177606857,0.5582624293350946,0.5312898832267132,0.5004755783991759,0.6166931637213713,0.5881363558188052,0.5239381136958207,0.5393922304933648,0.8165157522699766,0.5704696810582325,0.5898921319226067,0.5251709212507337,0.5525206047333282,0.5490123080958058,0.5132227492702334,0.7907926383036882,0.47237790608675767,0.5151941244124687,0.7238138216098424,0.4538661855803808,0.3771770097336169,0.338588476461,0.36371425898056753,0.39580123227236763,0.35893349656135465,0.4148643369329386,0.38852046104499277,0.47103799879058245,0.474543754238019,0.4105912722096929,0.3498627119655721,0.33090201168001265,0.32743185336153574,0.307383432484048,0.35149330588609523,0.38298788451089616,0.40333334445665536,0.3869141359736876,0.4118564902268983,0.3822693248599918,0.4703264315338223,0.40598646747563927,0.5621079347741134,0.4458711687631435,0.46311254570352783,0.6566386681896457,0.39505558316552214,0.41511816289161785,0.38006407783197166,0.5408003081605454,0.5217760977740081,0.4514887753989009,0.37273797888813825,0.3847368351436248,0.39952348997527265,0.35212684548475953,0.37578893761252474,0.3767152791257516,0.38933072231955484,0.49704932754025777,0.5652605598841575,1.003480373870753,1.6922011333745999,1.059614294663957,0.6661058570621257,0.49960721672017694,0.5113372012159212,0.44329280246304686,0.5098921320584459,0.4054589828935238,0.41445224123863655,0.3767231562198216,0.3704267424893048,0.49794128614480104,0.41288460259019844,0.4471098277399971,0.553012735400908,0.6096745564280692,0.5809834068915953,0.4493442765057701,0.4212494004327872,0.4414134280680059,0.41271138889277625,0.3936540785537827,0.4735297838478734,0.43756292136268954,0.7433167740528065,0.4721709247374412,0.5499487013321539,0.47130062652261484,0.42863368116145206,0.44549514967004217,0.4326491679799662,0.43295661437358446,0.5424681397017704,0.5856478828441908,0.6347108659401044,1.5678192215722275,0.8127642608794317,1.1072382298996315,0.6745182543262876,0.6894178328755209,0.6463748905289752,0.49005175639524134,0.43371346180415343,0.42932868403755586,0.3876618269614211,0.41093133678691085,0.47871460251103454,0.41994443616349475,0.46878053578813694,0.39569580816199745,0.4193639231837742,0.47447627987027396,0.46751050012671125,0.5503678492740678,0.5051625218912601,0.5909964348449477,0.519327531186927,0.5914623057204345,0.6290952902293736,0.61365802433132,0.7270574321447212,0.7666507664030153,0.7581266338796409,0.8091055187864573,0.7650282271050123,0.6569434481682878,0.6839398367921262,0.73694508378471,2.00945169357482,0.9317766691466215,1.6079877780819787,0.7486138409256667,0.8230488927274136,0.8717299082033402,0.915103496617753,0.7268994460209582,0.5483460973498536,0.8999263157836684,0.617034573462969,0.7203639685592232,0.5756121432883995,0.8391899073665327,0.6408671444675065,0.7576818037217828,0.9665808993400526,0.5148278182473822,0.5204133521124241,0.6173951425167571,0.7390907421458656,0.8552301036067086,1.0175759216495086,0.9328117041407511,0.8707586142832686,0.837335231135241,1.0273137880112182,0.8693644214892654,0.7242908199034374,0.8929502909001921,0.9487457530222176,0.6949605902592593,0.790471450793331,0.998794434429652,0.9190055275417668,0.7487628203751068,0.7968651131891171,0.7175595453189931,0.7309597468525899,0.7123043104530822,0.6917931311415114,0.6995443715792032,0.6081681226331567,0.606990779928248,0.6033164137842363,0.6261168778240614,0.5138610095387184,0.5523800917071716,0.7191583012541855,0.6729355217651505,0.6142627180769791,0.6218625798260257,0.9484195131704486,0.826819613457,0.8687224076456053,0.9640278553410732,1.2092828572930199,1.1678322127140226,0.9714993831067126,0.7604659776272032,0.7026361303527313,1.0849441499794608,0.9582062014457035,0.9786772680810556,1.0627474409607982,0.6824035524279689,0.5514905889678419,0.4435043255481151,0.4145890456226431,0.404175150555745,0.47091788609130986,0.5842373756894322,1.0495296580665674,0.4451321029721915,0.4722535233637032,0.6121255575532025,0.6701147367667131,0.4651897767993972,0.6200361900817066,1.1177028140611964,1.4715239716487822,2.10951219549953,2.573363786388455],[0.49971739729839987,0.3853476207217197,0.47860486766828275,0.41481732343613287,0.4107098254668734,0.39243248792745156,0.28386330206544236,0.41552601112989973,0.3256681331451446,0.3010729048584392,0.367558818814475,0.4560596918308106,0.3578782689481159,0.34143818511252405,0.48544895447035114,0.4415983392503051,0.414062882482846,0.4813870033925032,0.51364170680193,0.4931308847327332,0.5327728315923895,0.5339207830385079,0.636513731359369,0.8207269777856456,0.5839484343398129,0.5411958872271649,0.47300843200423853,0.4195522175809389,0.43951887334978457,0.45945586039169917,0.535070888289819,0.4990629725554547,0.6140720145740457,0.5494022804567125,0.49416911678162845,0.48439737566822644,0.48505169598005027,0.44348225664544666,0.3969311177277654,0.41597339920789994,0.7728037013461939,0.5751496571938018,0.5544799516060621,0.6806904189092894,0.9478880711379349,1.510043411183782,1.2406746324144058,1.0123446211246274,2.2464031319347466,2.1323510816523847,1.1306123425267807,1.489265380338101,0.8916837295440985,0.8251719216457978,1.5541788750347212,0.6675060419887967,0.7904888809117965,0.654442189516543,0.778001648047818,1.0197279303705935,0.6652881032928478,0.7607374948676888,0.7284694942744725,0.8867218125309893,0.6070064290139953,0.5843419121649641,0.7854049004354636,0.5849116192892123,0.7970895487010944,0.6674841026762642,0.8922797789229424,1.191779698361788,0.9066341461710676,0.9244816496294047,0.6437385839365793,1.1478259120810412,0.5189946991707842,0.569364110051182,0.5052490627477173,0.5089765070967811,0.5277681720708202,0.5462730175314091,1.0496757196008875,0.6358600430964465,0.5253464200927804,0.45416971305392967,0.4413519320646425,0.6179631836447235,0.48970882288040796,0.588732916831694,0.5176983144145452,0.7613780392474562,0.6181411016792259,0.5742817672850729,0.5371420577160156,0.6405335173612835,0.6054863403450882,0.5396530613245062,0.5424902921581563,0.8272750184364209,0.5633453474631074,0.5545673093216347,0.49858382500113657,0.5205297849690002,0.5037693646487991,0.48251851886347247,0.7163163030324842,0.4320572765492959,0.47079471259851097,0.6803620198420832,0.40060042571430665,0.3543587936194591,0.3320690463173882,0.3653685207942772,0.40113138775177265,0.402275281621616,0.4400081480943535,0.4477718316871636,0.5475002283715837,0.525711099727156,0.4681470320331992,0.40130168452271536,0.39013449114701804,0.3539871313890123,0.32567024891137125,0.3755037079087605,0.395949911831669,0.3821227329644434,0.36899380105340573,0.3824948329378899,0.36378520016050486,0.42997972790705463,0.38588313831621096,0.5345543769987398,0.43311627289262006,0.45668845144486553,0.684452676274766,0.4078181909964561,0.4337180557752251,0.41550975845228705,0.6041667493363848,0.5893191367999263,0.5286408467673777,0.4078599855057078,0.39728245859367517,0.4115168981196043,0.3829929288252496,0.3794388837582103,0.3730690994791763,0.37857120804941125,0.4639066667506806,0.5577796217185363,0.966720860291392,1.8105470720754964,1.136208155764997,0.6552257963832842,0.48388127375713863,0.48761765591122413,0.43738353700532884,0.4887827892290966,0.3959345761711368,0.40761368870832876,0.38390806942272515,0.3837725578864445,0.4853006002774246,0.43388220214937817,0.4498917022388604,0.5572805610580973,0.6038577684728853,0.580354096790118,0.4565147018101871,0.4298440302466246,0.4299830599463528,0.39653386814288355,0.3757343670193963,0.4512709679215991,0.4433130831430622,0.7355375283605858,0.46453867856591063,0.5153033464601303,0.46310527928042605,0.4074200354658102,0.42300295069681493,0.40577090875839283,0.43565253074713306,0.5407384292247671,0.603210501958268,0.659351153936466,1.6175364828148961,0.8259018587253157,1.0866343713226696,0.7719851729767907,0.7137892391402924,0.6569665886633542,0.48982165300523844,0.4148640573495561,0.4149602203404692,0.3679436983410278,0.39169369095885487,0.47661541189469914,0.39488916123202933,0.4430947210202408,0.37936443411767556,0.40024425745205094,0.4515192420197195,0.4555924370105549,0.5328370526036786,0.4873215901985996,0.5689080457256492,0.5097081580904183,0.5832463712581921,0.6243310814525531,0.6208880251379242,0.7082143940984845,0.7655528732754927,0.7636185772928243,0.8197595635483633,0.7680536268301895,0.6592773651861422,0.6708663373524089,0.7118973072998523,1.9743794640661987,0.897682409395095,1.5870564563845755,0.7077312920582837,0.769774865554035,0.8164525629740187,0.8737373672369474,0.6729375247648176,0.5071933440056831,0.8635453560781479,0.5945312321735162,0.7028280799529502,0.5380824738244236,0.8245362871306245,0.6435160879461127,0.7530121990602592,1.011928496694932,0.4908909463353308,0.5062867060755758,0.5848250218375655,0.703412749193889,0.8197629331139861,0.9667065139591695,0.8923617100931445,0.8137156192135673,0.7840393990216045,0.9797410250115123,0.8105393976383681,0.6816266544753881,0.8484488842465611,0.9060146097892112,0.6638317132530047,0.7505639940804988,0.9635002275315254,0.9040690815928567,0.7348394708931117,0.7760079524972218,0.69606757064179,0.6966309459361445,0.6713189498227983,0.6477666889687115,0.6659475583464268,0.5855771520251885,0.577435373157801,0.5765395400518433,0.6100774678202134,0.501796556547849,0.5370571027298172,0.719782493964133,0.6752482688971434,0.6215548736305532,0.6203414674171878,0.9559926749583922,0.8328710704165255,0.868835131965156,0.9921732524755406,1.2507278505873844,1.1470078180082437,0.9633845822518522,0.7574846381341537,0.6805759305888386,1.0655285137260708,0.9452498956506149,0.9817294028973963,1.0703951362216642,0.6732911452299915,0.5331130164807601,0.4221580498477363,0.4176640423480047,0.402969699386553,0.4313874244058569,0.5438773263954556,1.0475434201404972,0.4130252154952623,0.459710219898475,0.6120782165124495,0.6320182018041124,0.46928499138775626,0.6418192269548424,1.237309819040882,1.6100271810270832,2.0811500616488074,2.6544357736087676],[0.4709076611356173,0.36221719886309534,0.38188173150452215,0.4241652487026658,0.3928173525795811,0.3732131745674298,0.2430273893494517,0.3597405994368564,0.3157942126389979,0.2804955848573676,0.3300805262985472,0.43384034671115185,0.3381359597424646,0.32711096419990204,0.4738330449046787,0.4306435746393569,0.4167501096777494,0.49363508005184553,0.5511665738493484,0.518906627157675,0.580492002656276,0.5754899343072583,0.7051205748597583,0.9176521146285347,0.6032575322555367,0.5840392643964419,0.4937022894549973,0.41948144151219535,0.4425170264909438,0.45330009752207684,0.5234628953512016,0.4807966289503679,0.6181597322318853,0.5475144793698175,0.4777402436216603,0.48329843461629896,0.4627544147346193,0.44049435752709337,0.41633932163362564,0.4303156112480271,0.8071122090961886,0.6099892798335881,0.5990937220934721,0.6977696650994455,1.0114563718893388,1.4811508524762695,1.272439127267229,0.9919542475095245,2.1489810560886924,2.0117247673052017,1.083164666227053,1.4542406047858598,0.8681869897676259,0.8450563662212764,1.543014623851057,0.6561686078050948,0.7755985422419003,0.694744100724727,0.7763587648246624,1.0669334398543888,0.7126651667600434,0.7743549145447949,0.7200307060335588,0.9377724960038006,0.653856420947779,0.6097281478877503,0.8150735552393568,0.6084706758579368,0.861885513156931,0.6977332612189407,0.9054651919503824,1.1817724532416467,0.8955324252507768,0.9713842567093883,0.6599479219398847,1.2116591170526383,0.5407445898409375,0.567992401284835,0.5175035274084899,0.5159968523900923,0.5254649220492978,0.5502798645310888,1.0280965184818953,0.5515311396406976,0.5314269785643978,0.4418854763887858,0.44500353196294673,0.5959644443672834,0.4971130848387722,0.5842775632162265,0.5408773563946506,0.8044870087286526,0.628616990080053,0.5721445275271102,0.5291094705221242,0.6231733380935663,0.5734701028889878,0.5266580375452417,0.5170711990088427,0.8058637024473378,0.5364188987059493,0.5346653079109699,0.46627412605164387,0.48327390674746484,0.44882944749709675,0.4241945813383097,0.6355750892906775,0.4064960890858752,0.45311317364306564,0.6789125894347741,0.3698890285989859,0.32491950083894106,0.29846225694946454,0.3300430524511045,0.393728422949637,0.39223988333092014,0.4293673433519865,0.44905073899340286,0.5944940235647148,0.5378136346183251,0.47803631000947583,0.4075866672373233,0.40420433124470107,0.35286549187230165,0.3021581353360385,0.3460984038692227,0.38776601203157457,0.36135080925103275,0.35208622759776825,0.3598289485992416,0.32711544886980165,0.384836144486698,0.35262708460756476,0.47616342045869753,0.40108815205688264,0.43241278173099007,0.6686687726613237,0.3904829972821429,0.41074806437790046,0.39739549631111215,0.6060196063451395,0.6272817993402925,0.5599401872511038,0.4032586906602008,0.3955877309012157,0.41175520327398746,0.3646697562693346,0.35388997924960086,0.35367566083011537,0.37314802205424297,0.45159909173487006,0.5713920137089872,0.920396895220502,1.8483806136741654,1.208089840216486,0.6385765886216941,0.46100721757241764,0.4642770379076246,0.41905711928009676,0.44835342735561123,0.3757253020409617,0.3744993485152168,0.3623676745912206,0.36786294843803596,0.45137906046314175,0.433561457461061,0.43243138785314816,0.5606698079982495,0.579909018704501,0.5532764754689242,0.42783919019064076,0.4145760340544743,0.4130179985502019,0.3634812963247726,0.3426545797266266,0.41934537934316973,0.4321551628612533,0.6879175830637543,0.43386858107758686,0.4494107705080778,0.43899442389330784,0.36691196606236764,0.38615103855318617,0.3709573424144193,0.40857482036368103,0.5344809092521494,0.6142968861912562,0.6888531939209451,1.6682579658447516,0.8482270778156594,1.0850918897633632,0.8375401497804353,0.7140009468983071,0.6498994410195028,0.4672296872145105,0.38394837519179126,0.4059782660774147,0.3530152050550733,0.38271924392433226,0.47746430384309496,0.3737976407012539,0.40935206835346194,0.35504504454054603,0.38439561717574705,0.42441981499967785,0.44572354037166334,0.5213735887243627,0.47143617712411384,0.5559876436437833,0.5051521260720092,0.5669120842849636,0.6060576058894273,0.6170210123586559,0.7123873458283855,0.7597290555898187,0.7528915867947088,0.834585948984723,0.7556091323470306,0.6473909883276318,0.6605235594335006,0.685322143339196,1.8671947182086772,0.8686759941136394,1.565615619087183,0.6863999953892227,0.7215517919568835,0.7732708282945633,0.8301828330729727,0.6373327758710139,0.4654634225467467,0.8189529439692135,0.5762586952918465,0.6698117444210299,0.5017591574913853,0.821182316160027,0.6724028477656528,0.757035150496198,1.0632811615874176,0.4809402022188722,0.4851834198090138,0.550642407709098,0.6699896181796873,0.7886119552140535,0.9189818015093533,0.8631446199971298,0.7727740879261177,0.7342862585721835,0.9266751654437307,0.7620394002218982,0.652905400098763,0.8089868051590212,0.8734146758937915,0.648156506182864,0.7172980220939398,0.9283750187214719,0.9137983210366318,0.7193902652524228,0.7493124240588918,0.6691944652873855,0.6613074475760873,0.6379346331874854,0.6126721843191899,0.6387611783029623,0.5686144149358482,0.5570253010233609,0.5532341492684663,0.5999653787399977,0.4843304783723579,0.5143850606550341,0.7120303956930496,0.6656201198796527,0.6347151946606118,0.6226688677581597,0.9705946182050388,0.8405955132120573,0.8637297421074872,1.0427878293564687,1.27161258934296,1.1240042211531207,0.9419854796506179,0.7544547931296055,0.6313955387916237,1.0118135030820523,0.8978993535010804,0.951158528699764,1.0636739742553276,0.6628391751137923,0.5101396365783409,0.402034126518438,0.3990731293558432,0.3501274316871665,0.407260708694194,0.5187845396104969,1.02144645655619,0.40534634017252047,0.4489176474182633,0.605616155417607,0.6556522921222382,0.4625262045258082,0.6048242577943678,1.2821441806406095,1.7311291869622432,2.0890121870648506,2.7258310698386428],[0.5000877753696301,0.41503044264325356,0.4669808642593389,0.47457167834434416,0.44387441162154706,0.41942440439912226,0.3009510554702626,0.3911271392165237,0.309573481851061,0.30152931324234183,0.34326813696472025,0.4395931847675052,0.3639019922107054,0.35089854811824145,0.5065754315822228,0.4864791771542035,0.46557134691110036,0.5550237949236824,0.6177547930037456,0.5823651617165799,0.666439204067039,0.6494242303545787,0.8082289230479148,1.0196371547361383,0.6356705764433527,0.6298258962466594,0.5439502830467712,0.47448137676697766,0.4957077553082382,0.5011942401659508,0.5813327309754879,0.5602621820510444,0.6982140377288335,0.6291449691473867,0.5526502970855012,0.5579692048884928,0.5303138537190519,0.5007768239364062,0.47424061947912516,0.49024326403247576,0.8220937885488608,0.6653295588045846,0.6645325327826189,0.699026441511643,1.0201293126790825,1.3506343219750159,1.189751323811231,1.0291539637651212,2.0970584585655416,1.7355272938228428,1.041462496483383,1.4110797425929125,0.9605254910310816,0.8867610909915049,1.612684634186187,0.7497879069216713,0.8382097115961624,0.7732717064125944,0.8629021612833998,1.0689544579493238,0.7676077577996588,0.8601981765251246,0.8282339397210585,1.0489111962542417,0.7269083637706698,0.6954844684305788,0.8971255488338341,0.6866601254240684,0.9241943386984397,0.7384913791438612,0.9340468536957385,1.300219022589026,0.972797951162406,1.0404216916817979,0.7435963440216089,1.3080589206493252,0.641584534070686,0.6726251523742537,0.6206614564247732,0.6065294446929024,0.611726526861091,0.646142257896235,1.0718796467940288,0.6515564409903702,0.5684764789344853,0.5012742052668318,0.5145253368023655,0.6418247013097184,0.5806620388613758,0.6653956215634658,0.6208324908950239,0.85696071657637,0.7002072546790595,0.6480879168561154,0.5939249597734242,0.6742282787007416,0.6071917830000317,0.5760959182124621,0.5665361117770477,0.8920059945731348,0.5885309204296845,0.5999244450973001,0.5455638902973317,0.5347109304777724,0.49400104119515714,0.47574980017834045,0.6913999825203639,0.41652815125170267,0.4172261487098611,0.6851667349867786,0.38103398438924224,0.34334740236544053,0.324480664461083,0.36485224113421116,0.4603283908596382,0.4247577596391585,0.4695343040074895,0.4857387219122642,0.6468472711452752,0.5977249976195883,0.5293780371580771,0.45142268276351044,0.4300486330402804,0.36811391426844675,0.3200973474895876,0.3268133255257585,0.4345447381170776,0.36364513654947606,0.3624349937097764,0.40613434804940884,0.3600123004078308,0.42286461826140526,0.3579122400148646,0.5244591860498625,0.4011014709192101,0.402800426647394,0.5947374240632537,0.3732360444303455,0.42235540036783137,0.4235223277570023,0.625615223625965,0.6325338120870168,0.5708822317207084,0.4486372959063811,0.4520093711911566,0.47365921628945584,0.42015189302231526,0.3869641165792147,0.38157196475653327,0.3787602395997077,0.48258810444419276,0.5708011471467347,0.9655203644012351,1.9964800764850834,1.2393263868309554,0.70845452137496,0.5017970707051108,0.514088733234569,0.4726979061038176,0.46696047302000376,0.4047137705789938,0.4357751740222061,0.3958977988293601,0.41710847048850647,0.48342235748460205,0.45225004935093127,0.42966774480622993,0.5316923960457686,0.5327022980546285,0.526116898136759,0.40862598891041474,0.4125521023666836,0.430544487442856,0.41203831787537515,0.4064244254054679,0.4524430477960214,0.4704496704954594,0.7484424265566101,0.48868290166237793,0.5351440903354928,0.4837183234298034,0.39581830263708023,0.40363315634292496,0.40052494465868077,0.41809693082780464,0.5841293647495333,0.6316443251701651,0.7868810983155488,1.5968623675308753,0.8241650902366954,1.180449252845158,0.7977667130555712,0.6831276636758866,0.6133601801819749,0.4508745991608553,0.38684223461088896,0.40480835854608244,0.3849510145755847,0.4150184230861306,0.5119400868235149,0.4221139575306488,0.46714208207564734,0.4006136541435607,0.43830857309389065,0.46833530416275343,0.482854711206862,0.5776452367460707,0.5112947202862741,0.5935720518864828,0.5494236600623169,0.6086932325207585,0.642919032881225,0.6477017515958268,0.7739810995655284,0.7904638623833454,0.7807810606993891,0.8341384965621156,0.7715859333467678,0.667343402216737,0.6693639200970388,0.6849708502425295,1.9997324682932933,0.9028986040550676,1.624184501102199,0.7396814872097343,0.805266491550231,0.8342736711721827,0.9411389555347299,0.6836850296835444,0.5095322353801426,0.8648113767296326,0.6178055849464893,0.6432943063457697,0.5061831162507822,0.8829611970498711,0.6272281886016404,0.7421664409122699,1.0595559792709095,0.5061002493279031,0.5210800342398788,0.6233113164800079,0.7396036012429932,0.873576739464129,0.9969169579306133,0.9247078204894257,0.8346664166394884,0.7979998380294667,0.9934033522777015,0.8111929061896026,0.6759112392423139,0.8286882680587444,0.8635736977680646,0.6662945284263833,0.729942572305584,0.9162106288937661,0.8631422145719573,0.7268034468894333,0.7714271695302628,0.6929286777266551,0.6835484598301745,0.6637588424483716,0.644784800533883,0.6716433676116935,0.5823473183269801,0.5759326245147757,0.5589850845175136,0.6010248820067104,0.4943488580852497,0.52220343283427,0.6814018433311376,0.6689683830621357,0.6187753814542972,0.6080841177108403,0.9196037415157154,0.8272901552022422,0.8595611359217188,1.024802872229203,1.2842246189830568,1.121955240726796,0.9476674705764236,0.7748018200562168,0.6924108087789672,1.0470170762022744,0.8990562926792443,0.9384370221097496,1.0476059347777196,0.6887901145132681,0.5568318920621748,0.44560316871967826,0.4112208210673126,0.44615835007920346,0.40538270233221646,0.5247717695703185,1.0547724976716855,0.4234131817632975,0.4965825426382263,0.6722513292293978,0.5748917842766599,0.5431931250775397,0.7518543225546871,1.4382982365755643,1.7626833563284654,2.220872865663154,3.0906372138950373],[0.493488662084374,0.4034635620088673,0.40597094382377064,0.47439976059048133,0.45214518780191404,0.3828907547033142,0.29169377411242603,0.327638394374575,0.29556307944194343,0.289880811119474,0.311786717674519,0.40295292940203825,0.33461555388902253,0.3499002692224761,0.48617484937727645,0.45959592869291965,0.4701848098768076,0.5545211268852316,0.6438259266576409,0.6020216006064606,0.7049814281291594,0.6954977090585486,0.8488437341541535,1.1025380620609484,0.6964513222899372,0.6862213747911033,0.5789742984467777,0.5020021537925113,0.5022404690048048,0.4892926129192969,0.5546937723603325,0.5005662669835229,0.6641030314101819,0.5864432960900879,0.5111912454085666,0.5491070677573452,0.4912924240658739,0.49686550996464346,0.49417905986015914,0.4951452224692201,0.8761067517907484,0.6898403817433788,0.7015535334270397,0.7335713357772676,1.1140006679795151,1.4001162982603557,1.3044603685319003,1.0321231780013993,2.031218853240748,1.767451256738171,1.0434186349800652,1.4090588583984307,0.9277445327749495,0.8980792454405017,1.589002306044621,0.7494814713342586,0.8116469258685884,0.8241952022308654,0.8722298475771266,1.1501124415322936,0.818689212027236,0.8464953564683071,0.7959798980985515,1.1011944455771654,0.7718085725020083,0.7203129318493099,0.9035003649735022,0.6879005614051373,0.9709954816545361,0.7568576653069028,0.9361159848205235,1.2308380980433045,0.9494451958169065,1.0788515155889227,0.7416026322883212,1.3260335093271816,0.6362265794187285,0.6489714206962156,0.6002370192180503,0.6014514848087049,0.5998188171127578,0.6302499710439723,1.0577703724208543,0.559964043892251,0.5684787889493218,0.4850543675256921,0.5262357387876779,0.6109442614220829,0.5780838629548104,0.6326779818830159,0.6153356414062305,0.8868936867517715,0.6878693292068289,0.6160215986034617,0.5570534753483604,0.6431543445765491,0.5582394336672695,0.529856202798847,0.5128026171584442,0.8269727566830645,0.528965807018453,0.5223300403707235,0.4667979754529299,0.4750608931794084,0.43597181056386325,0.40453479790668706,0.5876853011334985,0.38280933097500053,0.41159346715829714,0.6540047983778644,0.344157403013855,0.3273575769305683,0.3236525835554713,0.36162683714769767,0.4455907697310741,0.43829786241193985,0.4922853495010479,0.5388469927997058,0.6977577794431707,0.5875238993860671,0.5491619123411791,0.4851172006038762,0.4780827978626454,0.39621260211514914,0.32874157771185686,0.3638944352154073,0.4123282932531647,0.36486651393482084,0.338659673572863,0.37316904735734735,0.35057016535197605,0.3716760344427815,0.36168278888998256,0.46557019659322446,0.41267059843944154,0.4303140299894668,0.6669575269581619,0.40338687657313765,0.4471170971372553,0.4614527658182631,0.67894417431244,0.746640472966991,0.651551962595016,0.4848562021593251,0.48404463356009847,0.4745224780560757,0.42818939995588357,0.3716138057892742,0.36221778296500035,0.37469882136626403,0.44170328927502084,0.5610561809357228,0.8717339752453994,1.9059400750780038,1.2488984829072598,0.6333864024787086,0.4353490071985499,0.4453095041802903,0.4110470906507462,0.4193200179958256,0.400220898064147,0.41338863716385554,0.41295417393026324,0.4255299772291669,0.48532502781451836,0.49387720547607766,0.4659500750718432,0.612512905872169,0.5842707046217513,0.5652682068194869,0.45562623283928516,0.44032949700304863,0.4148339266194022,0.3999958769796441,0.3842107809325616,0.43191412453065964,0.46024485406653004,0.6916897760002401,0.4666372816822756,0.46218563921054784,0.5060845465695781,0.3773507409371077,0.40136346639532017,0.4092952955475238,0.453393098141052,0.5887592896541929,0.6430364544529771,0.7825386900816613,1.693103422015674,0.8663501743428857,1.1197040272894165,0.9463161590578245,0.7438678173936599,0.656427928754969,0.47607500010955145,0.416691754352624,0.43748811487004013,0.3618545815800712,0.4007060788074269,0.498428865874759,0.3866317298045518,0.41138225504455955,0.3650985326730034,0.40934679682216546,0.4344556548794462,0.45477505145139757,0.5417832480933256,0.4874189093869477,0.5483307145084282,0.5217274837169293,0.5966282292442739,0.6242641414281481,0.6348339006281225,0.748215915731557,0.7948716683141637,0.7883365693689097,0.8609749617610243,0.7894382932768542,0.6755510603845991,0.6655695069051359,0.6858839140196793,1.8529588758372961,0.8593235571400059,1.5566409724401902,0.6818887045722412,0.7060730197338307,0.7487046255557415,0.8386376223627632,0.6281213318766933,0.4724544430466304,0.8054420065135741,0.6088004891595419,0.6797310491121413,0.5130312926235806,0.8843577226138212,0.7112230513562365,0.7861953970690833,1.1169138464326906,0.4995005994826219,0.4779772875319088,0.5364176325350861,0.6690970893350879,0.7751213186971411,0.8840498319123191,0.8333332398636405,0.7401181679827924,0.6969208780337647,0.8800061219096452,0.7139300178609826,0.6166653047665395,0.7717639598451204,0.8338135694633666,0.626778558378227,0.6936399460550393,0.9036961664894285,0.9036225672091799,0.7192127475615255,0.7495901890016594,0.6653570346855772,0.6410528843376289,0.6058890274408288,0.5877588752580116,0.6272211240272291,0.5632362937994291,0.5511133423860852,0.5543528054765952,0.6093982146503066,0.505299017466236,0.52532513046545,0.7436314669314367,0.6944909659923402,0.661633612084471,0.6566453101162335,0.9988351911037717,0.8777845870127746,0.8977119930657106,1.1118355654519907,1.326415148047165,1.135354125571229,0.9655361087908994,0.7967172669246552,0.6668568442213157,1.0247871797303283,0.8977423093266486,0.9547127754844609,1.0761299840012135,0.6943301563965358,0.5354060531126289,0.4080719553632898,0.4059548746615514,0.3794352710940936,0.3986296510770818,0.5049747289255655,1.0367235946130031,0.4059880697078482,0.4532183787089975,0.6312597543954479,0.6310198253395504,0.48368597699861704,0.6468700159028548,1.3807466387976348,1.8255468985212384,2.207048598864182,2.977456921050724],[0.52158222553911,0.44612847489579555,0.4372122403322224,0.5099323528664534,0.46143546537551083,0.4299284146236834,0.3456543276760088,0.4057066356351892,0.366810439861108,0.35656783877318143,0.415380251492309,0.5619470051874963,0.44125813106098444,0.4194804202414289,0.5716337496782097,0.5728598809608194,0.5429166769512238,0.630591394467411,0.7142289954419283,0.679915154462507,0.7999527055779401,0.7882788234212397,1.0109317633343442,1.2267373066161813,0.7680972973612118,0.7439088304044696,0.6170136169141947,0.5414524173929713,0.5697068483834559,0.5865161366481396,0.6587625895460723,0.6569115444274859,0.860817087029731,0.7681974606401368,0.6619851794122437,0.646913150895909,0.6261232273674409,0.5922503737897572,0.5727854910490711,0.5766553108092018,0.8877566133849374,0.7470893703780457,0.7780002540102584,0.7580769195428818,1.1718623241374253,1.3569579998801915,1.362182296812428,1.0853484682595336,1.9554694216442912,1.5787842315200267,1.0141199545865742,1.405234094806173,1.0113927505102558,0.9497233720856322,1.6199500627806187,0.8115093553701882,0.8720613414058669,0.9099152936950914,0.9452734558133529,1.1613725183847807,0.8772704285412366,0.9414928038463828,0.9037077358973545,1.1982401588657288,0.8700972625716905,0.8042654072080071,0.9978314624878001,0.7881396388366179,1.0434311776136136,0.8110994366789348,0.957669665570077,1.2771944421016455,0.9768146829450267,1.1452416896902615,0.8427012197080784,1.4651114947669066,0.7824755561060223,0.78958737493951,0.747805072093878,0.7221998504131624,0.7019307344952953,0.7469698917606894,1.098357547072678,0.6622145120916524,0.658597036617397,0.5961913782586495,0.6225418808752751,0.7110777652290899,0.6983259330271924,0.7676743000894363,0.7565518229143074,0.9792665689631268,0.8287150290449843,0.7863937197733907,0.7179187593138142,0.7932246935444048,0.6926664520231244,0.7169465231075978,0.7000969667949204,1.0137344086963325,0.7070781356897264,0.693183115838383,0.6407016720280754,0.5978303106227781,0.5531622809213912,0.497986241260524,0.68250013390412,0.43810243464955095,0.44909902777327193,0.7035874635468365,0.41158748156486696,0.39271792562843305,0.38341183193417344,0.39020850172739674,0.4784099867549061,0.46359393937565757,0.5288539643871825,0.5656513741985107,0.7445095898620718,0.6482148366230305,0.5794858414935619,0.5245596331530531,0.5246853740815763,0.4356105403632664,0.35928596569131427,0.3890508388350129,0.46017306269400216,0.3945545019690334,0.3909261557607353,0.43027208486933444,0.37720663185303366,0.4224362991366663,0.40463451721236976,0.5593363975363239,0.4414375538678396,0.45287292038333277,0.666677792917198,0.42487738933661917,0.46548887913804504,0.4897586373841358,0.7147164198540575,0.7793592906909246,0.6637742470840797,0.5028195011119825,0.5287065063198391,0.536515795621162,0.4741998732464254,0.44218118730283246,0.45164337833820895,0.457471335951612,0.5441795355764388,0.6507040767923871,0.9602980020694684,2.0310101861212426,1.3604505389486885,0.7905225546586478,0.5946314893312135,0.5926752699345489,0.5545147243400053,0.5167882914564289,0.46372656567791554,0.502146499852687,0.4584280200017556,0.4929113649572835,0.5339627225835613,0.5420503971477738,0.5098387484977644,0.6461859003271659,0.6007807443396351,0.5877315406673684,0.47989637894435255,0.47956782367223283,0.48317256065672626,0.4732626203460199,0.4775139005366399,0.5461855294132173,0.5779546859230524,0.8196180566881631,0.5750345261218452,0.6120746012214535,0.5608021852878374,0.46080487350690763,0.47431195998771014,0.4737281027480256,0.5003861908663448,0.6585849817344261,0.6961206177477288,0.8704653289641293,1.706120027060468,0.8920027395185304,1.1974384555201927,0.968985555532393,0.7613877869245167,0.6731755820301852,0.5053806998655609,0.43568833922761085,0.4532054790565753,0.3859762799106493,0.4085606779107399,0.5063410404584096,0.4011741193487222,0.44221721186874297,0.39078238008769356,0.427727228753157,0.4487862383988941,0.4716462617552283,0.5473387318349924,0.5010273173433127,0.568539585762907,0.5387140856977481,0.6129640075920678,0.6371381914151175,0.6437783504081862,0.7622441537520674,0.8120322956804394,0.8169852859307111,0.8663753005350828,0.8179459801020434,0.6890888109791219,0.6765863537017894,0.6938322477039701,1.8880229437204117,0.8815164234249352,1.5863603470780596,0.7212992062087744,0.7584691622854033,0.7918719467434322,0.886958789063779,0.6478206674979965,0.48759907375383094,0.8113189644711001,0.6199023232318221,0.6693606794651189,0.5009627717623027,0.8886133924761478,0.7150392835488134,0.78272811943834,1.1173927030108954,0.49427989671021527,0.5166309458592148,0.5808513189598059,0.6968966196986954,0.8321679329526184,0.928853622905934,0.8966747333008206,0.7751426488924816,0.7431824250961828,0.9497987271684644,0.76416925395787,0.646742263508139,0.799421027108113,0.8517403333774745,0.6478591906399471,0.7091374521730521,0.9107051714576292,0.8954514265100662,0.7264378337972042,0.7642367172580516,0.6763496313719873,0.6598912494231585,0.6301719973905711,0.6107786709105913,0.6469672426772626,0.5704525082485007,0.5590524627080007,0.5619469931248342,0.6157467657028816,0.5089015028458408,0.5328809475151507,0.7408361415031376,0.6992817742839492,0.6577624026860348,0.6503785250351509,1.0057265789031284,0.8868395811932724,0.9164485597944073,1.1464174935297753,1.3607105419833954,1.157784203792744,1.0012238054676923,0.8206265402095642,0.6992668135615228,1.0561237978817106,0.9232216117147616,0.9802447031200405,1.0912993547960712,0.7091485097262119,0.5526292226979294,0.42014160261327593,0.42031431668540276,0.41402008593421447,0.4180761462241192,0.5180112012748904,1.0510216159974315,0.43879768729795743,0.4931173447833567,0.6759960843011393,0.6343798631672338,0.5345773251307845,0.6932561198753969,1.417547524911064,1.8164129731346965,2.2764283565835424,3.099975358206046],[0.5169615768353593,0.4014588423021748,0.41588350814485436,0.43925889967441395,0.42143329191376383,0.4072879616509793,0.2984162647381009,0.3874627235506685,0.3192889775477499,0.3024230249630024,0.3462875965957153,0.4593462622028691,0.37638779353752644,0.36372019895662044,0.5239806450203343,0.5285762259736714,0.5036315307739485,0.6157812389979863,0.7069363111374759,0.6677868847987231,0.7951755474000469,0.7798153281248074,0.9886207997399412,1.2087297351560322,0.7560623304083747,0.7329993137416558,0.6170537504924072,0.5347684451744648,0.5500061321762167,0.5459124333285904,0.6338781074225981,0.6036987291700603,0.8035879746538945,0.7178907229136736,0.6166095722908923,0.6295567403007344,0.5765284278644571,0.5556472664483864,0.5315777359884403,0.5365080610164031,0.8618830856125659,0.7062681315509034,0.7335737861629141,0.7167448927954279,1.144823618810408,1.3136968448535389,1.3303924941094687,1.0908111032088406,1.9216732217910277,1.529009187802355,1.015221232873467,1.3469251545573429,0.9938384643172532,0.9183389537703578,1.6265865587963022,0.8223069693576034,0.8592457120208905,0.8783123534208581,0.9548072252062815,1.1379132039866393,0.8625179880419356,0.9356268376330101,0.9096018061283418,1.2068491785912505,0.8536062079537206,0.8010654863907628,1.0081644124825258,0.7808498315155149,1.040625854069766,0.7960756353180333,0.9481623051296375,1.3019164701368628,0.9958599742487988,1.1724568506844693,0.829148825468236,1.4307059201393404,0.7515655700292616,0.7751515555395319,0.7170504961235166,0.6935332990711116,0.6813839325620576,0.7003207273950293,1.083916496913998,0.6591696260990606,0.6109216465873436,0.5507604098504846,0.586457792200882,0.6864355932339606,0.6617641227392208,0.7350826302986015,0.7095444116106523,0.9597300412113268,0.7897523632707762,0.7444539018402213,0.6642998471100988,0.733217572697983,0.628982009916963,0.6435442514168337,0.6291814881795812,0.9514197164645768,0.6486520009047801,0.6549063704684007,0.5929989532684283,0.5591240468192324,0.5111719792641602,0.4832571021967019,0.702526084642674,0.42557791245751836,0.4491419998026638,0.7199719440023011,0.3895672303141489,0.3697733915207212,0.3273037924222022,0.3706814472360505,0.4640098204276532,0.4409086154918997,0.5157647892607636,0.5497143222465782,0.7400299828800314,0.6595700764526701,0.5753073147039656,0.49558849623044904,0.4946867878874574,0.3993053046103406,0.3226160411462855,0.34955758296155287,0.44122874137407014,0.3714969341784107,0.3658180165875843,0.42144215447134714,0.36001981910311326,0.42164840588887026,0.38897426393354445,0.5281795034897463,0.42458322850543795,0.44264127119556895,0.6478154637757698,0.41050208268615523,0.44860341281246335,0.4615350828685589,0.6873380526261251,0.7621466976139343,0.6641918386278536,0.4902001534363045,0.5124878780382434,0.4955481123537419,0.4475128952775314,0.4021016696660444,0.4079295100265115,0.3950731791244323,0.48999806883097363,0.5991170436187873,0.9780229549265904,1.9754722028281395,1.2534478136020897,0.7413921420724393,0.5377423926368496,0.5354276592690855,0.5061826292496607,0.4728574333186706,0.4326442824426874,0.4605467905424623,0.4322275594872666,0.4584856143325133,0.5213163785866508,0.5064802138002151,0.4688925899267931,0.6037099900572994,0.5759845798791305,0.5659666340496692,0.44917522494867596,0.453599714750363,0.4483228983243714,0.4373171061987834,0.43009793826330334,0.4930482835501913,0.5153130140969068,0.7763161492878056,0.5163551888417108,0.5348183163319257,0.5115588699186548,0.4286943289566858,0.44114237124472566,0.42966177187504884,0.4587014392923819,0.6101550176873057,0.6404258623157099,0.8575400860886767,1.6618014635920948,0.863691627449143,1.1447500529807273,0.9493545528116736,0.7405321008806891,0.6652745724431705,0.4955272067836235,0.3946962612988755,0.4199686006997489,0.37432779809043887,0.38959421816595546,0.5094606380049475,0.40236130455087193,0.4721916603823216,0.3962649658932608,0.40565116193136025,0.4582696836945215,0.47407440317844063,0.5304187079622521,0.4937137843240026,0.5923087372739216,0.5277783784464041,0.5910364925109294,0.6338351615289773,0.6318836017917637,0.7449254796062501,0.7925747618851396,0.7734934016980572,0.8452392998284306,0.7658680294320018,0.6680940454863277,0.676405068332162,0.7043083347499757,1.9325597477409269,0.8855564672689141,1.6048923091581717,0.723908055728275,0.7728145830379877,0.8062979181911913,0.916237803866443,0.6631304407487969,0.5005916897675238,0.8471286806882529,0.6152146749330332,0.6796594822636138,0.5095873409120906,0.855672533765929,0.6625244620848892,0.7485199093669256,1.075442832652202,0.48026506639481636,0.5112050817340504,0.5923012467481371,0.7191218278220621,0.8626348718260465,0.9914517715233617,0.9224561700710276,0.8263029269539098,0.7966899571967718,0.9961222744481316,0.8063668799243796,0.6896844535055304,0.8542201849345491,0.8990017341024539,0.6803439434783412,0.7592106360229567,0.9705127526139182,0.9099051398211926,0.7593656990430826,0.8094347751735487,0.7123308843698409,0.704962996263935,0.6873829400050181,0.6643442790295947,0.684817532107899,0.5954073978449421,0.5890540913353756,0.5780026049244007,0.613509434883732,0.49604852605347327,0.512007277578268,0.7318332644831506,0.6836450201909199,0.6242841741776296,0.6231990367123248,0.9435183866726472,0.8309580544979325,0.8664833401006506,1.0583511983671483,1.2977971313099188,1.1642201544407829,0.9470072207753425,0.7649872235016042,0.6398535052978359,1.002492278837686,0.8916648454212064,0.9480684668229007,1.055826828896024,0.6632796406857566,0.5092582973694583,0.41243046310347453,0.4084095248728792,0.391847669976714,0.4430897702157042,0.5559746187181803,1.0673831813790373,0.4494049568886335,0.4940619125491884,0.6745294263934628,0.6123513672287118,0.49605360577183166,0.6787733312845935,1.3228454233436109,1.6505632611097356,2.153932501053794,2.9282430599196756],[0.5055208062876793,0.4105622099137215,0.4262159033547301,0.42092516535396934,0.4238504622037731,0.3920441021169001,0.2783867648810578,0.3619730460899605,0.2922215573844404,0.27711521699021485,0.3227285176135364,0.43295780520925864,0.346707227525672,0.3479947942464825,0.5130725733174178,0.4927615865464662,0.47296923249710254,0.5731892216743832,0.6596568745912856,0.619386633506039,0.7346276579753098,0.717025803228774,0.9123378157208195,1.1332491493986885,0.6897562521625904,0.6788973685701994,0.5645826162526458,0.4871942910075803,0.5128595003385109,0.5048412270433452,0.5949993360243054,0.5565641033254647,0.731521558970594,0.6609099850794883,0.5600735244364654,0.569673694681632,0.531774934893939,0.5097472092426503,0.484712878078294,0.49366356080235985,0.8485090924169955,0.6918021936236961,0.701368393792707,0.7245340379636074,1.1451172872165418,1.4221787872117757,1.340199454880599,1.0406970349172715,2.0056714813029735,1.7196953374883912,1.0210496495144128,1.3951624600374126,0.9675829392936569,0.9164228619156494,1.6111892136927601,0.754886465680958,0.8211591894603963,0.8233702618289924,0.8890713056963724,1.1170231016342853,0.8240250223210452,0.8821276371013558,0.836061791179947,1.1414757959871553,0.8114690361575073,0.7384212197003661,0.9521442154723664,0.7322863783561335,0.9987793890149084,0.7799565703104486,0.948254006461353,1.272631708169653,0.9766923712745146,1.1236893845158389,0.7967385948454131,1.39426359002436,0.6990025381473142,0.7100349986196839,0.6562964107604984,0.6414652244397253,0.6171865413876594,0.6343524802290861,1.0610193892507067,0.6061710953437361,0.5643230747063641,0.4923361713619547,0.5366510796792573,0.6417951369557463,0.6083213354440485,0.6894244234278447,0.6671615647564161,0.9234487236957114,0.7513488513267532,0.6907290347502185,0.6237306981750518,0.7029729712467478,0.6108983501879661,0.5889134182542126,0.5680200379771874,0.8966009008599489,0.5891479562377724,0.5867248099732155,0.5226327785626629,0.5193753263373855,0.47069811138254164,0.4289594945512216,0.6508438976216052,0.39526522812108034,0.44434884005447856,0.6876643890118561,0.3727210134246291,0.3276068228625788,0.3098900709062505,0.3395232303733251,0.4290817703867246,0.43185131182206826,0.484459289168482,0.525894157793858,0.7041562090416318,0.6172904247651817,0.5459956634904659,0.4747361988348728,0.4772650569100761,0.3898285455946962,0.31890108953471813,0.3588264506484104,0.40948179968580295,0.35778802082138966,0.3540267654350882,0.3742079066944285,0.34099638276952077,0.3776108069707579,0.35861920121139657,0.49447514884028826,0.40295102404474065,0.42968015827905165,0.6595182884696272,0.39683938378931416,0.44612321932621823,0.44947492485014184,0.6896213474402412,0.7417386899627308,0.6408739916987845,0.46733894927192077,0.46913405871328046,0.46485807583374117,0.419377238540495,0.384138635064937,0.37522471752295167,0.38920204621311255,0.4741442496324968,0.5763823410736766,0.9599301042572402,1.943661611387108,1.2331698532415103,0.6983839142979895,0.4842342186348835,0.4968472922902384,0.4495375832529872,0.4565747345054783,0.39559032038037384,0.41908831097969057,0.4029565971035037,0.4116407810868805,0.48159017748736327,0.4861709232321142,0.46597442282287765,0.6102244427300693,0.6004964582665057,0.5791480677348011,0.45058956535917427,0.43534488852291253,0.42754577813788114,0.3978572291678113,0.3803099541713826,0.44346383064172207,0.46435775312955696,0.7264872682971908,0.4727031405625437,0.5009484635677477,0.4825362856164289,0.38690061188934455,0.4044602094477124,0.4002078988078322,0.43217405609917464,0.5680872313849018,0.6298053033563723,0.7628470333432366,1.6804171451805063,0.8625305228261261,1.1403283049089032,0.8940481030684527,0.73433434710601,0.6598238366672546,0.4810492675296808,0.40687788809089404,0.432593811963393,0.3561941818856713,0.4016973991454949,0.4914056677197643,0.39325284762006485,0.43248466800925767,0.3738981595892408,0.40845385156430253,0.4567211070110937,0.4714225264404553,0.5348727874977856,0.5101381679164618,0.5998308135839678,0.5430909852043716,0.6138678604555383,0.6586585171205731,0.6496825372076289,0.7603732169724327,0.8182504790532927,0.7933364343604195,0.8858487827891252,0.7967618945573887,0.6948301931997486,0.7030049063290638,0.728857437211218,1.8794244184662754,0.9028371841065104,1.6034886989154342,0.7230494018528337,0.757444139763155,0.8099852735160307,0.8798818070200194,0.6658912466492382,0.5056281643995653,0.8653734996519368,0.6182125739144012,0.7035266223194252,0.5417983235388487,0.8584282889797501,0.705660083141984,0.7691678080478451,1.0712777497383357,0.49510810788952414,0.48648341770328335,0.5711208315329124,0.7059462669351193,0.8232282222912318,0.9717133532471792,0.8971277136698639,0.8104639883607331,0.7872355594563969,0.9759361575827621,0.8043841862726901,0.6861854353768551,0.8498340330823537,0.9045684971006647,0.6859039140803238,0.7728244156103629,0.9905481914495537,0.9420542931419725,0.775294568000019,0.8211693144578922,0.728543311280702,0.7154202205973857,0.6853047740531704,0.6617235792596172,0.7013854248057871,0.6146110620199987,0.5993456970534907,0.6011857422940259,0.6424905038068663,0.5184488218090691,0.5427077031941875,0.7625537916445585,0.7081079034475142,0.6614042544948214,0.6574380085925452,1.0012920460845796,0.8784175726848495,0.9041454989026335,1.080286849764334,1.3086903672329857,1.212560011622153,0.9867184212806748,0.7895406407912758,0.661667722332523,1.029428581527917,0.9338905411033236,0.9936468842321351,1.0944439591509438,0.6817902454943779,0.5279169047212015,0.4179629827395074,0.4109704977680841,0.37866001797875326,0.420738135756672,0.5452550694007672,1.0490617773419144,0.42056399959522234,0.4803348923761891,0.6462176829898881,0.6234274471525364,0.4899698514937357,0.6414827475981487,1.2523411421923245,1.622038197184358,2.1139139158817417,2.796096080792263],[0.4780964001781222,0.4038862717807121,0.44988656388497833,0.4222180816088224,0.4253981779348602,0.40058943372901795,0.2913455366290809,0.41673180605872673,0.31946006084748557,0.2929945142465697,0.33145298053469946,0.4292140065600371,0.3436005263491613,0.3271694722061552,0.4837955416545674,0.45596571717660855,0.4320643603322099,0.5162610725230105,0.581629722447097,0.5438417298879035,0.6245769846039231,0.6126021249468564,0.7644559099143601,1.0034677468255337,0.6089490842252412,0.6009907219186345,0.5054678848223468,0.4322224025627507,0.45584013870331264,0.47009025650181974,0.5568042862637006,0.526225328637628,0.6668717953962042,0.5910206276088301,0.5109279223272224,0.514723952244711,0.4984741129245504,0.4552506901368534,0.4233021032178816,0.4378933659082538,0.811759127995961,0.6284576438772972,0.612340256351034,0.6982333549214054,1.0228109362901958,1.423601320099048,1.2334340710418097,0.9984249082067651,2.117622719949549,1.8899171340700545,1.0466010685356664,1.4280827953708175,0.8970250678792604,0.843184433428678,1.5803291413952192,0.6950154996169796,0.7889374732539267,0.7253223973729408,0.8218100360795716,1.0559804153540058,0.7265909235146327,0.8043007128367531,0.7695172867582014,1.0135626506445161,0.6985229420125736,0.6449102517962761,0.8656612652070726,0.649354975013466,0.8991047520757296,0.7102519884798172,0.9054517221861806,1.2427744171502604,0.9276698035087314,1.0232132167843238,0.7012146894426358,1.2846903294570096,0.5923175904153313,0.6278228443051603,0.5616223417278658,0.5519105080306458,0.5707333600680986,0.591990926033883,1.0677421172487158,0.628459864780084,0.5491503916783007,0.46383611369760896,0.46331460725312945,0.6279200735379104,0.5287744964407587,0.6232679684219777,0.5723891158394278,0.8395655038880293,0.6753322455290686,0.6210873167193934,0.5659562441139235,0.6563148909735205,0.5944829024545613,0.5604165516302518,0.5535724759262847,0.8847150813114343,0.5818695114161665,0.5962469685284725,0.5270910473111237,0.533386611621652,0.5007569897188086,0.46545740411859765,0.7084576660407094,0.4448307999220308,0.49596820135859704,0.7404655722892486,0.4278829535278467,0.35710419971352925,0.3260651195491631,0.33976217462690605,0.40105038779713287,0.393590982218595,0.4354493951382896,0.45885376699207325,0.6175486727831593,0.5547118435460785,0.4902262315841219,0.41609001258320716,0.4146285056492347,0.3570639654456924,0.3123274290339168,0.35644188485345035,0.4056718364167504,0.36920517683134635,0.37357513903677814,0.39825157786919935,0.3589122119515514,0.42322705872126415,0.37285918583119215,0.5232698361575993,0.41995596544360764,0.4410031490275341,0.6654393867381097,0.4065656856707817,0.4248319017258592,0.40994711631599356,0.6212659593969209,0.6356967086914099,0.5478961555228048,0.4096726010213227,0.4032110690263895,0.41879465156641404,0.3757461631213607,0.35722859425389697,0.3774274558817873,0.3958686521685587,0.49829360251476545,0.5878994644895807,0.9832579983084196,1.880469820401935,1.1690776166652224,0.7005104756021806,0.5034603850053151,0.5160299119765671,0.4549786787430857,0.4741173341360871,0.3939392044477446,0.39920578600117396,0.3738451700588962,0.3809965318769356,0.46061697118753425,0.444420110223086,0.44078211947713175,0.5731009240751994,0.5959853415633226,0.5746619101970201,0.4332049338629946,0.4202168229444567,0.4212350205385366,0.39301008192875747,0.37143145084683943,0.4346578113955915,0.441643051999933,0.7338110703494561,0.45129374906119546,0.49334551815395256,0.4510904721297609,0.3945175696638379,0.4090799858062694,0.4030613321068087,0.439365279048219,0.5505847224930298,0.609011522474498,0.6959453107589731,1.6481136353751715,0.8424768319351664,1.1105151168766683,0.8207935567642155,0.7107418140158642,0.6443246509660147,0.47145538469243436,0.39540907106860007,0.4174298279158478,0.37084045044367425,0.4093478525274248,0.495925713769105,0.428476838691636,0.4742481413213806,0.40585836070544345,0.43450224779084073,0.48480422109514026,0.49520279416041124,0.5585053359599221,0.5225445985485686,0.6221422583399465,0.5517016275359818,0.6176980497459854,0.6642777548707407,0.6500762659238153,0.7617933238104716,0.8044510903192514,0.7918074439248639,0.8734672567251932,0.7965385505554974,0.6957214018642905,0.7143801554441586,0.744903680188198,1.925082637646466,0.9344810019141736,1.6390106655631196,0.7623449876003358,0.8052053544819556,0.849034496192488,0.8992591796255169,0.7069948870323642,0.5428242359837602,0.8863161243473773,0.6261003041670413,0.7195356099107968,0.5529937643084978,0.8209386387599467,0.684707392734076,0.7605161235750137,1.0288403586198351,0.5122302591094581,0.5117949731525975,0.6017088738611935,0.7381905943342383,0.860022314766552,1.0347037328844317,0.9473101490268514,0.8553595257395317,0.834691493877385,1.0377141725875945,0.8612649169002626,0.7227439864008856,0.8934457157688401,0.94407074421395,0.7155948082390785,0.8058083687173316,1.0214417406233511,0.9494179269230445,0.7903418244746526,0.8438349385617949,0.7502899467035069,0.7484169856150082,0.7236211846453922,0.70461129064713,0.7340413364651737,0.6376972948364693,0.6306460193870652,0.6236183310668345,0.6556905748482739,0.5301386508422355,0.5647252136785524,0.7542993809515869,0.7050856213388835,0.6511325242067397,0.655774021007347,0.9828265686303645,0.8676411304572696,0.8894074982028836,1.022218186614448,1.2496745456034322,1.2051760708320576,0.9777411502907785,0.7839952198595055,0.664802175048584,1.0321671529972243,0.9402380436173546,0.9881098258676293,1.0852342290222694,0.6875276263607328,0.5384798990279772,0.4367660846892625,0.42104574536012845,0.4053174009579904,0.46337903813982395,0.5831419330163453,1.0861596501374153,0.4529052291774801,0.5015106581691808,0.6638446840535795,0.6645433988117959,0.5018906008551013,0.6553152211971202,1.2135404192960064,1.557284535696432,2.1153009944454193,2.7617712567061377],[0.49172460458901146,0.39939851200375115,0.4207768641029043,0.44814976923064187,0.4362917960137993,0.4225350291537354,0.29337297339169316,0.39108350970714245,0.33466564432871665,0.31017406000188485,0.3385885095025096,0.4318939054256282,0.34237200403133605,0.364161317628639,0.49409952042775995,0.4539582048615434,0.4586439185111032,0.5347757779120731,0.6131114145133116,0.569287858948377,0.6554925358138349,0.6516954293451539,0.7918499056139146,1.0360328808202026,0.6581826401239532,0.6474826674930738,0.5412663352304314,0.4656268314046231,0.4768832242671239,0.4739550639708681,0.5649556458594444,0.4965686561200968,0.665419466746868,0.5871984470299242,0.5027172960554663,0.5318749363733445,0.48363576310296263,0.4725255811977749,0.4574250950611158,0.4685751042090046,0.8674761824280518,0.6579127930164606,0.6570796803605108,0.7468433261617428,1.0839507654604144,1.483093555617331,1.3273750768504304,1.0082237422974016,2.1193010060346835,1.9804856769817671,1.094898379812189,1.4396078958725025,0.8890471895633287,0.875989978135635,1.5608230482236403,0.7151316249666053,0.7980436847728447,0.767101711115624,0.8312914804940416,1.1261106771109068,0.7867015759915077,0.8105901158520435,0.7576184332227882,1.0379980047096855,0.7454329288146584,0.6681730539997435,0.8666833493905596,0.6664509951116188,0.9331080219615411,0.7494572383123711,0.9261576033611606,1.2175038319349079,0.9444756177012018,1.0707163577087029,0.7256917765389748,1.3186982593164067,0.6104099776159546,0.6413946910172812,0.5749663460065766,0.5736977803383796,0.5705204585558703,0.5837741137759503,1.0657300171074242,0.563493235817897,0.5611861163186681,0.4657606876371851,0.4784396207631729,0.6021910567371136,0.5507010197707806,0.6257464329521958,0.5991851805123004,0.9027933712974197,0.699636264481548,0.6310142163898859,0.5721400303506319,0.6695357631100796,0.5930107882224088,0.5475251881155403,0.518276273997761,0.8193013344189527,0.5454794655894387,0.534690627367407,0.46336594471168296,0.4804499811920425,0.456636563604102,0.4177787009572234,0.6272751005368705,0.4179838087992526,0.474020183160256,0.6794609089621583,0.40433814311142025,0.34767271769271674,0.32918297016551085,0.3562047576037524,0.40743495715111877,0.4381216447413029,0.47267607684411994,0.5140044134484977,0.6637450820629385,0.5645282540255946,0.5194543617044727,0.45698897988213544,0.47977287475265573,0.3960472217086218,0.33746513396252736,0.3863671948582308,0.4144860155798675,0.38849993025320617,0.3832752134533218,0.37488594924155555,0.375236651175665,0.4060036192162313,0.38927946658760826,0.4780124882382011,0.4278428592735921,0.464118238280935,0.7092021029065898,0.4258208057128419,0.45471936075925395,0.4595617951424647,0.6808232035161202,0.7192147185744722,0.6238020198233432,0.4630320093199983,0.4479659317908688,0.438869263067064,0.39900232811916797,0.3779033444130677,0.3628566123521957,0.39496738950166993,0.47185615075375836,0.5690718736613625,0.9294902576178885,1.8445344862815178,1.1944242753066097,0.6362013695937367,0.45787659293193017,0.4674202967796552,0.411234269228312,0.46000384182050236,0.38974904684366957,0.39222010856905987,0.39589201911203226,0.3925325553885351,0.47742435568529157,0.4907594306237519,0.49433921809855436,0.6420471152250872,0.6596947316976225,0.6270979588541455,0.4883071027829665,0.4529815546098588,0.4355067609846714,0.38291680168590564,0.3632154861007408,0.4306788523455645,0.4479109318829608,0.6990602487464614,0.4539376380061697,0.4615929358267006,0.468755551306945,0.38171752976433343,0.40062677430000293,0.4031077418850179,0.45039401858413436,0.5589318481355748,0.6444365502712026,0.6990818637303053,1.7222033048400658,0.886486332432783,1.0999908916784602,0.8916599955097474,0.7644881256466644,0.6995552120177569,0.5261479727738705,0.4509727443664876,0.462945098181309,0.39012932100235126,0.43579590070479574,0.5101137221260735,0.4144043166569055,0.42886654178113004,0.39143095372370273,0.4425395985301744,0.47333812410413384,0.4836013849890577,0.5721435162987827,0.54125833083816,0.6097071666586087,0.5589678147049206,0.6330386003418774,0.6721706805473889,0.66233090357434,0.7423309382946022,0.8196356540637104,0.8083677232176759,0.9114485606692287,0.8216794300067091,0.7156450090618053,0.7330630938230097,0.7568613297774546,1.8155488605210464,0.9305457464355101,1.5892321512528107,0.7333564252560051,0.7551246407840464,0.7986173394721582,0.8386540521148004,0.7057610208486015,0.5376323547439222,0.8555504229810367,0.6221023892393587,0.7426435414613589,0.5806271098611355,0.8361481328204116,0.7816512694144805,0.8192164018837509,1.0800255891603248,0.5360105045417822,0.483647465556337,0.5618606226575779,0.6792408855306217,0.7802710095924601,0.9380767480061174,0.8521830713850894,0.7823471980874678,0.7704413382417041,0.9529108287690042,0.785366699750695,0.6853849551625668,0.8492106554973461,0.9183804992547921,0.6924702515742035,0.7806083099924598,0.9980572890524907,0.9819266385104403,0.789103667412639,0.8224373116236867,0.7420114340900462,0.7257462437433027,0.6839769062893801,0.6646109373336951,0.7057934071140375,0.624564382236477,0.6073944236430157,0.6162651228461951,0.6581818464976599,0.5539559753070651,0.5833315529368858,0.8082855022307082,0.7557133186516573,0.7130746164080968,0.7023530438534515,1.056643316321943,0.9251957479272227,0.9395970893532073,1.1187212094375611,1.3146517611467938,1.2405891867467704,1.0138666048710303,0.808857219406863,0.675057788676309,1.0355550699697604,0.9811519980678358,1.0491452830852186,1.1452226218344477,0.7291835460621947,0.5739074295262749,0.44883707588633237,0.450196538211724,0.3995041766670897,0.44533863546390273,0.5471776743749552,1.0200030659975319,0.44097464703928,0.4738661785449976,0.6216277185885053,0.6919905121073467,0.47330546092728776,0.5846951990953345,1.1484073025669472,1.5765564126692997,2.057984011542309,2.6348744782029767],[0.6134795063300351,0.4599734294893682,0.5846516714949056,0.4503586176206829,0.4635732807023495,0.5060001250836961,0.36533025675378095,0.5198367094869316,0.3713583464165919,0.3043314227645074,0.3505785420094487,0.47864050512863937,0.348463585377825,0.3144812747098602,0.4616623091045691,0.41651580260021126,0.38288634920755793,0.45669279206393465,0.5266017397557826,0.4818775664188157,0.5392845075524515,0.5302140963489276,0.6573194406538181,0.8687316781752213,0.5873075247828778,0.548590451401065,0.4501149252002668,0.3765160451467718,0.40412492058141,0.44095845974303854,0.5205229996128505,0.5009052089245235,0.6245648354404396,0.5510405463675857,0.4848885695254721,0.4544821496118265,0.4677809763626452,0.4146532020098792,0.3651958545330153,0.3920193292821143,0.7782876354580871,0.5746473844408826,0.55440015947929,0.6795650293869614,0.9855579605191028,1.551917833840166,1.3099564787729006,0.989436431701289,2.2331493337125434,2.185281393572718,1.1356932689437285,1.523713194792493,0.875155919931447,0.8282712879375261,1.549800867575628,0.6352901316951657,0.7742177109615468,0.6467154829492355,0.7484435500224643,1.0420407022419194,0.6665770084910416,0.7537787882073472,0.7225924466189709,0.924035878940056,0.6258876109238644,0.5859816661580316,0.7967328385828898,0.5931198816249601,0.8441473286934619,0.6957751282014774,0.9078828025759663,1.225035139727006,0.9314732130261029,0.9894529961789661,0.6534717059594957,1.2000698462421597,0.5236514709425794,0.5747257243628351,0.4979160505368541,0.4830085573708815,0.5062370494815944,0.5367006676994152,1.022002907368492,0.6129652923738471,0.5138707748194642,0.43191704099813566,0.4206868310484134,0.5966707109958044,0.4695747814986688,0.5817041029615921,0.5147465878177286,0.7995470109186336,0.6391489834518959,0.5830238809999904,0.5342136704743609,0.6429945525817079,0.5958237742045054,0.5373922389407119,0.5498624809484376,0.8872532101110215,0.5928956524235299,0.6485959387907105,0.5390731772774758,0.5751200460020217,0.5573954408134436,0.5642384225446974,0.8143838273662667,0.5507107374799534,0.6182943695599874,0.8226060187394274,0.5637948882582231,0.4442754024275232,0.3823948799467573,0.36308947661564417,0.3805779669568297,0.336888493047088,0.3865617049515958,0.40365571950655366,0.5502239293866655,0.4937392465223347,0.4356952213282615,0.36216367152300105,0.3430206290505118,0.30295253151207135,0.30633325436685965,0.368144219823652,0.4795463096042462,0.4764448028231667,0.489445335461066,0.49127942830307686,0.47609897002896295,0.5620169795864348,0.48154084609176256,0.5805651842120829,0.4793918585314634,0.5059283172136587,0.7065100881690177,0.4336540065972505,0.40800287157980936,0.36423250401601553,0.5692946253465806,0.5936512869662534,0.49752752132582523,0.35047526478657043,0.3323712098930559,0.3694355638387293,0.32761395359440487,0.3703137121888866,0.3915556155478488,0.4269465208146773,0.560121652253923,0.6686918131958348,1.0897476878756973,1.8491355893237345,1.174199659615183,0.7387299708082427,0.5398580829793848,0.5555864403374987,0.4639623006577238,0.5312217233972306,0.422213026411092,0.3872699720981346,0.34669311627043037,0.3586022864032579,0.4809802524517818,0.4259147897373336,0.47894753358954817,0.5991393998790215,0.6530231924287473,0.6049667265146513,0.47811234341375175,0.4307091554214823,0.4471050655241984,0.4014013431754939,0.38712362242893306,0.4803443047382511,0.4572432904878072,0.7468857333341065,0.4662370109411503,0.5390837317263917,0.45132101841782546,0.4626803683942784,0.481137339564433,0.4577353722652109,0.4635791677496269,0.555869958949507,0.6136003945594658,0.6447857650868195,1.6824144877471783,0.8407676188601121,1.1161740298762823,0.7450439372621959,0.7376981671815961,0.6956179129506838,0.5573949724495662,0.5117761440842958,0.5293029244789951,0.5181913096490143,0.5481732753716831,0.6021988985350472,0.5756046889254018,0.6225001512099729,0.5472930343501354,0.5797269973108994,0.6515809830781087,0.6514839572782036,0.6562593206009184,0.6709497485120582,0.7997473790417058,0.6907010674168385,0.723315817275873,0.7960244334870111,0.7969865602245109,0.8001298146283533,0.8845099971524637,0.8417179012928726,0.9711900351261448,0.8421692903138364,0.7876595579066893,0.8511945384385634,0.8860797781932642,1.9332667146233296,1.070779877460073,1.6473114362144385,0.9103059758337249,0.9624702889320319,1.0223784651643268,1.0392879886445126,0.8856143811879905,0.7095964848803987,1.019038228943793,0.7146460073652532,0.797572289407936,0.6977355975546744,0.9047170983749425,0.7925819258677987,0.8429788328322231,1.0550021180717999,0.642844712736743,0.6347411779515568,0.7489124201309193,0.8595052824687588,0.9804969921622643,1.162649355712072,1.074532819079369,1.0086921693279969,1.0179446489266357,1.192524690338524,1.0340431055158126,0.9212152570952753,1.100859766823062,1.1598628545954581,0.9128578410652807,1.025839205896714,1.238398313583027,1.1798261593584367,0.9721683739343957,1.0186979616006882,0.9332169411788427,0.954177407744496,0.9278377081877707,0.8986850549709352,0.9002651378465156,0.7956515506526288,0.7852204757394668,0.7829281273223021,0.7913611050566826,0.6764300788560209,0.7200309305509102,0.8641893402341828,0.7939090838641144,0.7434424764349099,0.7505484902918347,1.056238808605511,0.9358821624420759,0.9516819116239348,1.0886531267712576,1.2568462761694799,1.2663442759013603,1.042807547138099,0.837950982470354,0.7485229293230504,1.098660374171222,1.0453241248580165,1.0891564040043262,1.179172367059882,0.7976442843309559,0.6566584769794264,0.5753175476883667,0.5436780648269046,0.5323875439023409,0.6201987194049186,0.7402015534661418,1.1109211958123693,0.6050253548661216,0.6495458413098346,0.7710048044253177,0.8358500609728668,0.5929882626723277,0.6511290188249679,0.963651061726902,1.331347090605963,2.2032392559674063,2.7846819829622906],[0.4776344272731233,0.3512430404649199,0.46196335916520287,0.3579635965709742,0.3887656289062571,0.4139301194671748,0.29290563666171004,0.47127054280330327,0.3652253677114491,0.3131942727899293,0.37855388628261116,0.50643497031946,0.36712326589991046,0.35097404030131546,0.48138847538819357,0.43375127540663944,0.40249111570078683,0.45922666768043874,0.5098676235607238,0.4755174085954682,0.5121005997415645,0.515843908181636,0.6273704163591142,0.8304538761686348,0.6008581039459571,0.5401776483471307,0.46684646924859646,0.3997384267932488,0.4182095306815738,0.45591263793617237,0.5260314840027268,0.5008330366511048,0.6268808216650384,0.5579047092150954,0.4937248863767614,0.4673709102237303,0.4716095114504915,0.42374956888411663,0.38726265720641795,0.39746139153168913,0.7985646129327134,0.572343180903349,0.5504977929926149,0.7214288225263056,1.0011695312674624,1.6199456716224312,1.3774832227107072,1.0488480943072214,2.295894086455338,2.3519956764614016,1.2280542229783065,1.5796860886617936,0.8604327581630612,0.8008787417410147,1.525007477450958,0.6531614911928121,0.773111174369068,0.6510161702265113,0.7612173152837595,1.0535586838444155,0.6575057778452972,0.7293137082502533,0.7048978124147461,0.8807898360746712,0.6040274468544798,0.5613138916611929,0.7653231692048079,0.5735453117534732,0.792621811878634,0.6714719724585227,0.8864564248379379,1.1528347076466103,0.8855822382610499,0.9321486859647836,0.6434485604739354,1.1560785758144083,0.5099850170185569,0.5711593483716283,0.4912142633451567,0.4918727250161559,0.5090655185178677,0.5199478872619995,1.0365276481424404,0.5803035761741161,0.4933936417190668,0.4229326727061498,0.4250000252098801,0.6006236829584142,0.48075803026703917,0.6032001823422481,0.5123888770314052,0.793211515342584,0.6385790978131941,0.5977261625804302,0.5490985726825,0.6603064705576641,0.6116305681622207,0.5647779460723049,0.5668219122798439,0.8316279153830567,0.5873769838204802,0.6076566052356757,0.5058182139996493,0.5573786449982436,0.5319732780511346,0.5074945613552372,0.7742962728820717,0.4934572777579233,0.5517241120533937,0.7447764631246226,0.48806111098301114,0.3978384416289447,0.34335809363906994,0.36274022991758875,0.3838808802927107,0.36013833457741984,0.41922968402145805,0.4160641753146605,0.5329898836167788,0.4905704605715153,0.42961627867194296,0.3797212698977607,0.3468077633990904,0.3048790912586094,0.31093043000290804,0.36450691415519876,0.40085121145716984,0.40696736734244315,0.4122660253207827,0.410982118211203,0.39518105894109334,0.46663605330080976,0.4187886950079272,0.5051014934015589,0.43959454578359614,0.48179231712199444,0.709195474902244,0.4043108732779216,0.40964684329387596,0.3867963184721297,0.5736014454586094,0.5974213300376913,0.5031611561994592,0.3781139756559059,0.37934678093029667,0.39778353595494353,0.356249041628921,0.38367792890712005,0.36894733284113135,0.40262711806352613,0.5244510246874323,0.6016750251948976,0.9863577511902631,1.6510800402852546,1.0745569747680541,0.687775490017656,0.5229996898183542,0.5324322964644855,0.45538166411276604,0.5060420579624565,0.38475456186080814,0.39372010531452006,0.358433727433676,0.3544672445772838,0.47097343900245664,0.42859804982135474,0.4741242632072523,0.6161633547665982,0.6746341181568354,0.6191495240727978,0.476366749115113,0.4204589953467944,0.4309510434838307,0.3861954276719263,0.3741570856666767,0.46611473106239226,0.45737060053470907,0.7505900083682711,0.45476043928027343,0.5182586153699752,0.4630995122793258,0.41611673876769967,0.4323064301824267,0.42795354890058196,0.4371080769008655,0.5397528607234984,0.623308794756776,0.6446536914925763,1.6891367861773714,0.8428815648284653,1.038789602384414,0.7451268023125281,0.7240393772436289,0.6766474990694622,0.5100342082896049,0.45597622250336545,0.4651390895185764,0.4170533442713403,0.4373455173697409,0.5159634307465961,0.4527351606150173,0.4856273198320099,0.4245196164298353,0.4601204098735502,0.5010269146667642,0.49610726600412697,0.5711305764038402,0.5429492298242495,0.6289297683383719,0.5385363628312524,0.6139021462964379,0.6592246820183567,0.6429291882733148,0.6996276094248033,0.7935666577698349,0.7948200898155529,0.8883135742208303,0.8284030828684237,0.7208786251576975,0.7558238688822889,0.7965487794465655,1.8140630318998179,1.02929310287244,1.6138060340232072,0.7783877715133406,0.8213821511323738,0.8733443409091136,0.8626352513184763,0.7829330916846466,0.5831344260046991,0.8832483045684077,0.6103070129811952,0.7770619810845807,0.6274721258409777,0.8018090818481143,0.80074172383591,0.8393392524662056,1.0422759104116675,0.5824235990478651,0.5408873718800425,0.5785384762729733,0.6987507422805683,0.8104646472578518,1.0512665072636824,0.9210800458105024,0.8436712220721209,0.844020186129685,1.0339894541291414,0.8770574159621453,0.7561848783373099,0.9477587259512602,1.0155749655524253,0.7573312092393699,0.8810570396562288,1.1134145091929712,1.05247452792432,0.8362309790060909,0.8906975550604268,0.7960941544346768,0.8051670288229793,0.764967997909795,0.7381566679446571,0.7648583115280838,0.6610129527059206,0.6516451778088129,0.66933968797434,0.6887319754960657,0.5685538070352008,0.6230818446118488,0.8099123981576576,0.742083907156621,0.717013300045413,0.7054288523488298,1.0811252043100044,0.9309424276282565,0.9510807389416341,1.078228380239745,1.262483217659345,1.3004368342957042,1.05882096365511,0.8124085366570873,0.689235085000788,1.1159352845361803,1.0655218676309655,1.1117412195601746,1.1765387459039638,0.7504279447525116,0.5695660066651452,0.4608083629964997,0.4361535207947012,0.41395808182981136,0.5241271160717285,0.6225861729475525,1.0377280131001447,0.5204714499904384,0.4965200181464086,0.6436165682890052,0.7981503180602986,0.46082406502112283,0.5126567526832279,0.8476499110327462,1.2720199905615648,2.1860260084979997,2.850541802583252],[0.5891140204985444,0.5150145892496154,0.5546328414039636,0.4126552900453604,0.48026192780400023,0.5465734408814131,0.40261793118386713,0.5637060583400053,0.42128850480911184,0.3563949975467639,0.40794195337758726,0.5415348040906124,0.40005236942762773,0.37411799448282707,0.49496310228921847,0.4457887654798075,0.4200770120597438,0.4826987295831777,0.5465523829414501,0.5002370733413923,0.5409816796706097,0.5396183234793651,0.667762575719824,0.8740023591004812,0.6349756013302609,0.5748755072343553,0.4925255049303555,0.4326293175920327,0.4452031211642179,0.47997209152105025,0.5519158960956733,0.5246711485849709,0.6642499734767937,0.5819446336654004,0.5187297527831598,0.487678488436073,0.4998254750084206,0.4433066165467324,0.4225557035294508,0.42491405457826004,0.8103363331913175,0.5891785964080017,0.5695458680779479,0.7463304262868371,1.0512209628211824,1.6342396890414699,1.4296245467155262,1.07537686738464,2.271990936583915,2.3778852307680114,1.2368173089154038,1.616206143275156,0.8744236160469855,0.8374341434053351,1.51244011654136,0.6518066051623183,0.7743683374785425,0.6475638010432818,0.7378183933397872,1.0625006280936038,0.678605514470325,0.7309685115444792,0.7150035518401361,0.9197047698947942,0.6355646773756046,0.5777866765336188,0.7726641952776712,0.595885278280669,0.8128308837695344,0.6953451780628132,0.8823551393657044,1.1478903352634657,0.8775819144727157,0.9669887711970969,0.6714411514237719,1.1883578425249346,0.5436556980474739,0.5974814812777607,0.5194243573754627,0.5023037174368092,0.5146888836776705,0.5169131086880308,1.0539216443840924,0.6138666852229892,0.5190311279542508,0.4398937194808828,0.43952255455291,0.6265367759781216,0.5006783433016304,0.6217550793482547,0.5476972554000337,0.8125651919344735,0.6720671327554971,0.6242506195471026,0.5700918720583663,0.6870506626297377,0.6268314623537025,0.5964154364122906,0.6060916442397708,0.8916371940049911,0.6311839101844788,0.6631883632082697,0.5655970558448351,0.6116509176266453,0.5926468181665865,0.5783021373368423,0.8518619789818668,0.6251471486103592,0.6944184272553142,0.8624804476056732,0.6292722974630681,0.49164072285891797,0.4274847175802357,0.4204089946205776,0.42630541115563864,0.396792630753155,0.45901908659331914,0.49092127072060415,0.6037124383745225,0.5237885456582336,0.4790335774256049,0.4263464172460315,0.3953360173046662,0.34518204543417946,0.3590778860429854,0.42128510099202043,0.503908079296145,0.5160735597592667,0.5353947837026636,0.5204776655981784,0.5301150141378782,0.5826099702407531,0.5460869726389449,0.5715889779035773,0.5403318581619382,0.5827684653139374,0.7727546077016767,0.49099562556930076,0.4851736237943921,0.45457583253338346,0.645215192780799,0.6914855790643819,0.5662589424976868,0.4247817342797831,0.4109927349787398,0.42803596650328457,0.38485054546105,0.4298270745943532,0.427745680961268,0.45960313993337754,0.6073787602655565,0.6764765537352105,1.0447714168229862,1.6467420867390552,1.1060775643270055,0.7506239183589016,0.5731930784255673,0.5873080539515114,0.5009726227328621,0.5534044427145954,0.4440211761681666,0.4368131209605153,0.4252205684255268,0.40456751510600414,0.5155633919342316,0.5019558780143846,0.5381880782630105,0.6893891158621092,0.762320552291992,0.6796004193202175,0.5445140103081065,0.4904897499544579,0.5006928381663256,0.44680262268641013,0.42709735347284444,0.5178731179897281,0.5052089391368011,0.7869815386055031,0.499185830576015,0.57475618521245,0.4958945396758102,0.48813259320217806,0.5067387109016768,0.5102143010333573,0.5067296816375317,0.5457084312695518,0.61730410277819,0.6360510390861053,1.728013434933304,0.8929585236115973,1.0196672344947175,0.8082023516835107,0.8063821681094545,0.7812226120807768,0.6396482145932731,0.5848802809441194,0.583955805971784,0.5749941348158726,0.6146789114793589,0.6535777102689986,0.6498920183660899,0.6647003106996882,0.5904538628155084,0.657406618307373,0.7034367627722858,0.6895367924448962,0.7279218909872324,0.7452819040018629,0.8392691043734232,0.729060293298848,0.7846488873478424,0.8603161859849852,0.8424629460763459,0.8304873797096579,0.9396878018125396,0.9505513410587123,1.0626853329101351,1.0086782194063688,0.898289650851942,0.9767231437104258,1.0328202874120267,1.8625208092897783,1.2176215059608144,1.6299962348984676,0.9827292766892805,1.0397305873286118,1.0643841354380523,1.016942250892774,1.0282354397476914,0.7840756841890764,0.9908069010940181,0.7826917246605047,0.9379336444672017,0.8080024479644113,0.9309057542694122,1.027620404316194,1.0393485204759476,1.1528321385559928,0.7717159511129658,0.6976829600231002,0.7251109591013565,0.8240401791365728,0.9314714265407897,1.223933871982334,1.0607267894490984,0.9870282560903693,1.034333401051454,1.210020335222937,1.0518367194346396,0.9628185521335715,1.1679439547193597,1.2271621348112212,0.9729328822447987,1.1311274823140258,1.3534290431586367,1.2833014646596033,1.0694802971843713,1.131828090174686,1.030038534581472,1.0477523466569483,0.9807125146039071,0.9738603585187349,1.007495009203117,0.876267766997569,0.8561528561678474,0.895657342333875,0.895081920884004,0.7732181618931471,0.8489077769844323,1.0253256834646083,0.9464372009263688,0.9323563479323327,0.9377611792821673,1.3241842061241436,1.1305644597756637,1.1325867316360059,1.2636737418209332,1.399231183608859,1.5066619804765788,1.215067556737414,0.968878507941717,0.8138372752889497,1.228875266325424,1.2209749349070749,1.27772809569925,1.2985479924815169,0.9109348134133672,0.7079554061276183,0.6110946847316621,0.554426830525811,0.5234236434548504,0.690925697988724,0.8114246736078647,1.1158505715518783,0.6977464239248465,0.7020688102417146,0.8358182153914143,0.9730744175615642,0.6378030084655278,0.674704041639148,0.8024411673680254,1.2396616136614347,2.41811157956796,3.300327914599648],[0.5033851419812287,0.422035304211406,0.5890882155441208,0.3691081080539319,0.43372202115495845,0.48776060436725693,0.37733277383343994,0.5395845900269457,0.3973352044962853,0.35387920395085487,0.4120224292245925,0.5348378011509836,0.4077869730766503,0.35961022364657363,0.4976650301414846,0.45311401200492707,0.4043281766162448,0.46018328758956106,0.4901527229366578,0.4692918521579892,0.48135119571382307,0.4810140639117252,0.6120541522471252,0.7752881539088602,0.6211714349194382,0.5141155651897673,0.4529837683567092,0.41108018085210996,0.4322453856991569,0.47407038688852077,0.5374238731909599,0.5421057537054219,0.6521765409730877,0.5869922149052151,0.528222618368486,0.4801065309759664,0.5113160385775668,0.44568578755907756,0.39831560980534614,0.40662471710282905,0.7811567947579037,0.5545848578812145,0.5233381301095341,0.7076709984334313,0.9657379142785236,1.6732146322188495,1.4159741640808965,1.0875767035231094,2.3476424490110457,2.472073002264105,1.267141734191056,1.6354091002682998,0.863395026084132,0.8013608437464609,1.5063270689317751,0.6581493610143563,0.7982857504686669,0.6037091927618318,0.723415703478984,1.0350476513741902,0.6291160766690324,0.7400501073856615,0.7286989145682634,0.8475455107297428,0.5828034138676471,0.5674933803091162,0.7428799133094313,0.5727104009432101,0.7757534933821684,0.6646352846313133,0.895787715771663,1.1628678352656803,0.8894741925152483,0.9076643866755846,0.6371441817741507,1.106070780267734,0.5096493035084421,0.5872984218845202,0.5147402245833438,0.4915400742072166,0.5155348192423949,0.5309622453658878,1.0318831087219347,0.6640119832307465,0.5174755936038784,0.4536253539254784,0.4461818985670724,0.6402943536873299,0.49997025714583043,0.6211585361625489,0.5152695804888224,0.7562936833051861,0.6273393732955267,0.5965670157196539,0.5573761780080554,0.6727814146258309,0.619528467570404,0.5900762663995607,0.6166078131491097,0.8784173728237178,0.6583302034146489,0.6740962188030283,0.5921965308023551,0.6255486282790748,0.6191297620949575,0.6059175906648719,0.8923377518504574,0.5979159148747613,0.6464482006455033,0.8125170397853138,0.5851220080517979,0.4668937082510632,0.4099583534333805,0.4039471787437519,0.41008129725000686,0.3682734491486585,0.4330218099573511,0.4331898283179224,0.5269241586614335,0.49807910375616055,0.430618647922289,0.38102165942254324,0.3652618734722818,0.32321137294775754,0.33987927217851127,0.3958708370920359,0.4797590948976526,0.49543699502792676,0.5044357425971151,0.5135184473553379,0.4966701048879161,0.568214834840579,0.5193677012682194,0.6118634569110813,0.5226170410262938,0.5597855642770764,0.734982665237208,0.472575571848712,0.46559399853630884,0.4240938447735963,0.6042944542753127,0.6066804377389876,0.5122781202063962,0.3882583757341845,0.3841992567268492,0.4102878947339536,0.3728020164523788,0.43530030697001265,0.4313367588933954,0.4604525163998195,0.5831725477490983,0.6454775544708757,1.0336430553568279,1.5383258174721128,1.0381437109937517,0.7400655517680009,0.5847818560272336,0.5971697662269095,0.5136965799157002,0.5728056216545572,0.4507373468474825,0.44615831343101237,0.4217789540609679,0.4141830487136761,0.5310947704084931,0.4691596992249477,0.5288865453706019,0.6605746463526878,0.7271547533327933,0.6715676797466309,0.5308564886050858,0.47931489371004316,0.4969819980759052,0.46743273228095633,0.44452965468987654,0.5433473456266704,0.5106972028624258,0.8067423759439213,0.5274041567557267,0.6103441216496556,0.5220078593537361,0.503870489166688,0.5193547232602779,0.5090969990463163,0.49337349075729003,0.5683946596672227,0.6199094909770873,0.6936476442506249,1.6559934325767893,0.8589406891636547,1.0566036886890198,0.7289153666072888,0.7746520773092063,0.7382459613827482,0.5904457298882484,0.5373680735054873,0.5353437678646991,0.5322405209434351,0.5443575974929117,0.5857684133227505,0.5683879293991598,0.6081239629636734,0.5354241772214795,0.5656134134328009,0.6100812545732393,0.5954297788782102,0.6452222709386999,0.6332062985191329,0.7249804888871139,0.6121058927839789,0.6774168689970431,0.7285537409796041,0.7045846861626098,0.7384134894515195,0.8391774953673575,0.8483250177265858,0.9203191588020461,0.8921463485056057,0.7818501336830324,0.8398442243437504,0.9107347806683763,1.8818189461136412,1.145179078192335,1.6259090767603321,0.8810516665019789,0.9493245741303695,0.9860518881199919,0.9651991952218493,0.918464409489367,0.6977503119593531,0.9513056967246636,0.6999748565310298,0.8568766460028551,0.7206061567652738,0.8691672754615221,0.8950882860223514,0.9135446201787272,1.0563511718370329,0.6713276423114356,0.6421352979590347,0.6780268364890545,0.7841241293820499,0.9052741850326165,1.1869303533595583,1.0199090238922814,0.94823940353829,0.9786896138186256,1.1548358607457796,1.001096416881677,0.8807553689121214,1.0801437116506367,1.1425092531421124,0.8714597852241803,1.0154344303058584,1.2435653424165518,1.1521840915828596,0.9394761772626731,1.0088543630010776,0.902809778639366,0.9325148170891426,0.891307998885972,0.8689463623630673,0.8789759709582065,0.7563501519898674,0.7575721062697183,0.7805413400328193,0.7795873592262423,0.6650298442630774,0.7281669244376141,0.8931966883341398,0.822971231897949,0.8000753162801333,0.8052308794855845,1.1617454149705082,0.9949399857765115,1.0154787997997918,1.1405976773954365,1.2832222431676732,1.3894318785698585,1.1365795525126436,0.8663760013777826,0.7672398664490194,1.2241395836796811,1.1578719637484396,1.1899620466874854,1.2121708526466326,0.8194640394364551,0.6448626994317394,0.5554425867686981,0.5103320947602075,0.5142282301371205,0.6300478788939649,0.7286469750357224,1.073768306309096,0.6231083230768834,0.6062800551835077,0.7339933211138858,0.8720689666074002,0.5587729365506191,0.5938693014020686,0.7594216474111666,1.2613816574671952,2.589614937446601,3.492745825751788],[0.5598912444147784,0.4692044860300917,0.6259221886338783,0.41466726989649155,0.4709298748394902,0.5129136115291595,0.4282821655552084,0.6075966622394955,0.4703024148042572,0.4146788414856759,0.4816197792496081,0.6041971578877678,0.48818279003802734,0.4432107742086205,0.5787257140264644,0.546251799240199,0.4912205349266331,0.5512493210898196,0.5737133004401556,0.5509678840837093,0.5749446789241942,0.5810527430882302,0.690687988357257,0.85349704488255,0.6396342135228033,0.5775338630133923,0.544084767633728,0.4847922951618584,0.5179873624921061,0.5700207230051285,0.6354836618442398,0.6460385049281431,0.750544894582511,0.6841935665437197,0.6300618133240107,0.5772149468717792,0.6163764974085396,0.5362813349992519,0.496597129483597,0.5164972426308279,0.8222284959936255,0.6266262593670238,0.583792106022706,0.7529194049107765,0.9811284558151008,1.6007340598126454,1.321281593660099,1.0877556845173908,2.347542732776359,2.328016970026365,1.261472927608659,1.5967904177089167,0.9473833987451733,0.8766081565837058,1.601784990132707,0.715850708665323,0.8301170905781495,0.6662756888289434,0.7977122285936352,1.038609293255917,0.6899853875492493,0.8213981069448467,0.8086283426235219,0.9395614972658699,0.6565884663232684,0.6494237943957625,0.8187676395278515,0.6474536351204754,0.8455797174706386,0.7207242781665681,0.9369216598019081,1.2169289326760586,0.9414402241267269,0.972514967100198,0.7171429503852026,1.188767948063134,0.610089679236317,0.6948216119314874,0.6183641917779898,0.6010596738970865,0.6141571044573894,0.6081451267770039,1.1307584673681235,0.7944180940582318,0.6048943773966784,0.5458778424281493,0.5422690953849055,0.7413717129263749,0.5950569071597311,0.7102510243100509,0.615847284502659,0.8471019260294196,0.7291377214912901,0.7016950496873394,0.6564594102423182,0.7586737243967528,0.7005135689960923,0.6811230858204776,0.7052534294791601,0.9771914330520642,0.7498770184491989,0.7666673875839068,0.6931308383027212,0.7222256950786842,0.702566248048927,0.6499223262632879,0.9391662717143552,0.6534474023752996,0.6955215151519952,0.8782703113705788,0.6342555950641718,0.5323734612482963,0.4783456224672739,0.45986075146304173,0.4596569321661352,0.4312369884328519,0.48003701368404567,0.46538056183707777,0.6125252329884218,0.587578734687138,0.5139915802731659,0.44745108745302553,0.411602580625883,0.3979004058259933,0.3993095074973591,0.46266457456598004,0.5037727366722434,0.5399249843032796,0.5491825719545017,0.5647118832228839,0.528244834942016,0.6003138943605983,0.5519359471588053,0.6593630037905084,0.5719431927094697,0.5905581505979698,0.761055079576416,0.4742478983589909,0.481672721277748,0.4533974243736944,0.5985764920137007,0.6064215882012008,0.5522616269697783,0.4504838575611824,0.4588955601449053,0.48684606374447426,0.4521070458131187,0.49941225800255107,0.5151862180914075,0.5298656626832049,0.651869325904061,0.7191488831623112,1.1119964751257745,1.6516772574924106,1.0993911983356546,0.849249672586879,0.6768218213190625,0.683473490697468,0.6158004961792455,0.6538566381729536,0.5287213423310629,0.5351195253385971,0.4717043238223841,0.47925808943946296,0.5944131640191607,0.49271654031776857,0.5419737026429959,0.6523026156955904,0.7128788439038789,0.6660892524758422,0.5519912040365147,0.5110782786235105,0.5430642514512015,0.5189003047076111,0.5276627185660137,0.6258841990491242,0.6049432958363191,0.8997211433040024,0.6002231034892086,0.6969301066894613,0.5626176542627133,0.5671487249209839,0.5733773833284143,0.5396827703729818,0.5285182638543271,0.5919417812785956,0.6685978756793982,0.6704639927051538,1.65333527165529,0.8972954697769365,1.0611526408507475,0.7707862733315048,0.7666271570413439,0.7415049738850066,0.609179121430947,0.5666157965156141,0.5678049767116511,0.558032426885585,0.5635055053104184,0.6165213738956176,0.5947045741870997,0.6416508642606125,0.5640024116682572,0.5775974726570429,0.6344921355250804,0.6141219920081866,0.6616592629203599,0.6564526661418612,0.7514532813897717,0.6324862395992935,0.6992924490068227,0.7431986158200231,0.7105070940028012,0.7836860413873568,0.867597819280115,0.8644175687955341,0.9158078015003297,0.8900389993138857,0.7931930378720086,0.8485097937543267,0.9288619994058621,2.063113396500935,1.099042651220864,1.6082838331784814,0.8903297818822059,0.9823093005579094,1.029741993550064,1.0439436306130707,0.9159797156556609,0.7182228466541076,0.9953598137935153,0.7176326225185388,0.8378678382156066,0.7159973523190508,0.9103512572609523,0.8220464029882112,0.8887298427302791,1.045738813369557,0.6658336416173468,0.668663507248945,0.7052503972137203,0.8156549066441091,0.9529468668170681,1.2209454408722058,1.0749387794649994,0.9859435651228314,1.022263194377836,1.2088498023111496,1.0450054428122595,0.8972113412891094,1.0924770252567846,1.1367992594523877,0.8785750776150872,1.0252533070456271,1.2445065640623552,1.087752074873967,0.9334564254755593,1.0119789496763867,0.9213019137441281,0.9567915205967927,0.9315688216853849,0.9128907976625722,0.9125029753012776,0.7871118408358652,0.7884869139814471,0.8023284294841335,0.7965544990931844,0.6760859819781798,0.7384955698814668,0.8822763757345571,0.813895971869635,0.7582909927663485,0.784296123431069,1.0948121335592569,0.9445475269660661,0.9730216616795971,1.0872701772605753,1.2480107598389927,1.3422239909412172,1.101502979562762,0.8467716546461809,0.7758736278025647,1.1900033582501617,1.1069435108432384,1.136758568014388,1.1633556352544663,0.7933337410626964,0.6281174365860859,0.5764677754883372,0.531989002234033,0.5141142488433313,0.6733573673328608,0.7990057720629649,1.1421341093353004,0.6524520000925202,0.6480132973789293,0.8020433750506534,0.897985797194089,0.6031625812152661,0.6767779649220361,0.8729729600104951,1.257959842460878,2.5935474807363623,3.4161815828782185],[0.598929841735508,0.49123534998059715,0.6493719162832173,0.36808611224649007,0.45279804207185415,0.5035325144017433,0.39313265673333103,0.6004709161807075,0.4276084968762254,0.3611795147615437,0.4283814500727403,0.5796446260572671,0.4447430995350891,0.38344105994833966,0.5241430998096388,0.49978259990448964,0.4328203473790865,0.5054596815690698,0.5350477845311359,0.515980216122485,0.5496216050887246,0.5328353122032289,0.6637960640792093,0.8419709799591701,0.5867460288751528,0.5366504210774119,0.4886512473009354,0.4192293903896605,0.4652491712910539,0.5312844888345372,0.5996618778878247,0.6358134293481489,0.7492475507612932,0.6704620340697744,0.6102237970468876,0.5400222560462102,0.5881197066850001,0.4791039550725367,0.42442540385620864,0.4554044913700305,0.7544418947265729,0.5724551639100425,0.5411384219490902,0.6612838445884501,1.0280171590236018,1.5906520854284305,1.3310938191834272,1.0283107475520046,2.250284021753368,2.213014500911863,1.1578183071056993,1.565274684457483,0.9538507655088062,0.8979558793812266,1.6103134409035615,0.6547529850534414,0.7590239838610163,0.6349881173894131,0.7724327112241138,0.9818906700090865,0.6549130232677252,0.7704237902357403,0.7758167667421595,0.9519994414061237,0.6314705614408058,0.5989237118099244,0.8118762746323226,0.6354185080678423,0.8535779243718057,0.7044946160480359,0.9175145603011554,1.223061513906707,0.9246481618147085,0.9823118737670272,0.6880898932504517,1.1784851502920508,0.5844964444756579,0.6748827684053886,0.5958221394336434,0.5687681247790081,0.5959042753769036,0.5791423326403844,1.1373064569079558,0.7895564609449435,0.5625086853813805,0.5054479837774534,0.4894862481581205,0.704298584876087,0.557664356852252,0.6854701769510059,0.5931489578114635,0.8198896627764859,0.71102587236884,0.6776893598250665,0.6263391301912491,0.7234751204899386,0.6660621120273353,0.671348249565979,0.7052327170051533,1.0202157538990637,0.7644037784865239,0.8137143529248623,0.705892002529111,0.7501723354329685,0.7278943880894484,0.6843818732027765,0.9799657044348813,0.7008423025972003,0.7544240451830386,0.9430878933692034,0.6792043883521688,0.5307082405147382,0.4484804333906429,0.4064711279311386,0.41107206128648255,0.3656890935296531,0.42284132388999984,0.438259616015275,0.5913213500652186,0.5472692696048007,0.4804522211006365,0.40124852418684254,0.3958400777610497,0.327604525052907,0.3279347191013519,0.38861431402519375,0.508397559067722,0.5394738291752867,0.5621956260179973,0.5789167475454802,0.5468847712543008,0.6319571981903856,0.5646461776632392,0.6691118235156193,0.5466460459575853,0.5563527957739782,0.727767324425799,0.4457319655451196,0.43977551214670674,0.40284027196768185,0.6003824999126837,0.6248462307676917,0.535748660130242,0.394521161812664,0.3745593798482902,0.4073917276744822,0.3816170528387641,0.4577347296364518,0.4868015645188191,0.5047060906798829,0.6656800800913838,0.7478808118181759,1.174048317341226,1.7041579281380372,1.1502474499957431,0.8967788476938359,0.6923401144693172,0.7125411299519786,0.6101571269407994,0.6592539107297396,0.5000599410552882,0.48334270393198403,0.4301375490636023,0.43120773837908505,0.5459083061054506,0.450709877473295,0.49747317322620865,0.6150286418560522,0.6846898728205256,0.6243788827883708,0.5022509471838168,0.47063234115050645,0.5055123732822029,0.4875779835504643,0.498937338580734,0.6260195888277184,0.5897944607699979,0.907952027090137,0.5916568104398842,0.7059469204261135,0.5286377669060144,0.573453127994088,0.5755647709905997,0.5310299842366294,0.4944426752409867,0.5420180063082056,0.5924826692740337,0.6290748332482352,1.6238051188595346,0.8323604869864363,1.0656282163415878,0.7425086088663897,0.7634857848514912,0.7388768636598515,0.6253702469458714,0.5802238148198163,0.5859437975445309,0.5983314931926454,0.6152259155227521,0.6571478791149562,0.6794413704356709,0.741481859337545,0.635404143135199,0.6461699797162361,0.7394886784930526,0.7093361731279192,0.691220261462622,0.7302453904609497,0.8694603925592702,0.7092950724303687,0.7561040914934146,0.8277184942664927,0.8003662030399092,0.8001278410661209,0.9194957570845976,0.8998179271414741,0.9948586904744438,0.9205549643560256,0.8586345579299282,0.9436096198115936,1.02858017880616,2.0897266720475964,1.144831769543868,1.5618469145777003,1.0057849019773129,1.115919904006591,1.1774976851482069,1.1749766382228608,1.0571211492355226,0.8281597618931898,1.0885955507987042,0.811473097241478,0.9081644294169571,0.8079326406578619,0.9726246980373162,0.8880071661136747,0.946251709199094,1.0552787688496723,0.7190813557207505,0.7356626036575747,0.8072420188633735,0.9219197725856642,1.06988214510123,1.3637626422418718,1.2094765247901096,1.1097174370552254,1.1800050817764067,1.3768816964917379,1.193298580651733,1.046424304020937,1.2619055778814898,1.2996549683669263,1.0232270732849076,1.1927327406947426,1.4132656254581129,1.2343366151258703,1.07037106005846,1.155518884857845,1.0585123553056695,1.1183142062371048,1.0776926023255697,1.066943307916963,1.050219358519104,0.8990035857973961,0.903997142883927,0.9189467775847568,0.8892273238866099,0.7585755381253404,0.8325452035826609,0.9646419635379724,0.8685937716230991,0.8268918440759043,0.8591864994656685,1.1762022972185875,0.9960936036621221,1.0053687075554172,1.1405459611506004,1.2752309661318553,1.3808072808548686,1.1273903449428508,0.864676601120239,0.7804620504871003,1.202390088412346,1.1396915556131058,1.172088023373863,1.2010076908942138,0.8181850732781861,0.6550197946360112,0.620457053410394,0.5495712372891782,0.5467004465212494,0.7575404722475285,0.9017766331396814,1.177803963556209,0.7284908689095978,0.7434502887535032,0.9117141333104357,0.9816389052987814,0.6535634954826994,0.741603207758021,0.8744682259140161,1.2383231513672004,2.6714343619209693,3.572789258023275],[0.8909283930847905,0.8299558485496351,0.9406743882477121,0.7150049984518416,0.7774409907346946,0.8132982892326619,0.7151120323376593,0.8320142886525191,0.6792313586542164,0.6135789751388776,0.6309996901642136,0.7369955229555534,0.6557504019832103,0.5815500466837134,0.6671435185438876,0.6672804905700895,0.6061423465792226,0.6432770092336948,0.6476819049576769,0.6343333296659824,0.6522898546423341,0.672160151148163,0.7459285646295937,0.8868939524578694,0.7803199312301435,0.688309148340039,0.6594304271803599,0.6471196643257568,0.6556222374158085,0.7179978490427317,0.7324519001543046,0.7827113137136813,0.8429075353559426,0.778800553045135,0.7543468600268884,0.699688023089666,0.776945543213135,0.6713250686100437,0.6581575574144906,0.6924053702420057,0.8845182092151304,0.6736719822573805,0.6508378263556652,0.8193563906649868,0.9392738405140408,1.5229273104715129,1.2781251019672442,1.113135390214728,2.2971283581351005,2.3905251941864165,1.3511840216637219,1.6544482874344248,1.0759990412229725,1.0057913425566969,1.6367937140009252,0.8060770087125129,0.9197434979856942,0.7222393359778939,0.8386028444113401,1.097137676540319,0.7758603694921072,0.8944310233227133,0.8738432607305656,0.9556045422661763,0.7174808825233759,0.725692453286545,0.8420436371101738,0.6931588898694931,0.8520606687068271,0.7392603011636751,0.9492145293273049,1.235815890254628,0.9896181733907895,1.0133382835767946,0.7730416888669842,1.210335526537949,0.6877285808681753,0.7637676784200897,0.7230857427443366,0.7087250551707734,0.7403684600490459,0.7444156551351755,1.2883527001276724,1.0082994477524165,0.7847856586730004,0.7207973494250347,0.690797335449215,0.8872108663022665,0.7097842135402637,0.7983205982829739,0.6914958132386897,0.8950591822458552,0.771034466796413,0.7634587579200547,0.7383242741966918,0.81322283233675,0.7816467260916972,0.7845106042493166,0.831055169226069,1.0947647763551207,0.8984183641756942,0.9623372611237336,0.8901079184463143,0.9573634472520993,0.961551659495495,0.9283581868040327,1.1973200650447717,0.9928466357308382,1.044801476510551,1.178217217004031,0.9616294881245704,0.8356660461704142,0.743485305862611,0.7122275425696992,0.6483344716198592,0.6511924216890835,0.6587245482470862,0.6491324535385954,0.6843389040153534,0.6899940749128096,0.6130341013912757,0.5769740721384157,0.6106181776993574,0.6156360320203508,0.6242077024356252,0.6813755589782698,0.769714197805008,0.8404367755669263,0.8690124246614728,0.8897298153767372,0.8552834633947262,0.9097147039084745,0.8767929087453135,0.9353617591309239,0.8705394693509436,0.876970675286115,0.9900153206166085,0.7911198921695615,0.774254013340454,0.7282927018398142,0.8235160489588103,0.8051603012738686,0.7387900012373869,0.656405303387786,0.6273736822143893,0.6404576224575073,0.6478848298117299,0.706499073939643,0.7468451107822419,0.7558430162507539,0.8831661760502207,0.9333783196152236,1.2889306738209405,1.6526055795200971,1.2130767438355452,1.032488267623367,0.8644273714121925,0.9019212329565225,0.8192972688549994,0.8757888427757611,0.7764969063051571,0.7377653809105031,0.7271380542914683,0.7042547622170061,0.8401929955532479,0.7635289395168978,0.7825076752626805,0.8748681140359361,0.9642741739337467,0.8920758545721371,0.813152663268326,0.794764918657142,0.793560599683471,0.7637106213302236,0.7671612383196467,0.8531194030528443,0.7942675192587884,1.0614320501278165,0.8149389940861981,0.9413070115910411,0.754774956792147,0.8390638414989848,0.8468016294117573,0.8265222309795802,0.7782297944054287,0.733923103939207,0.7401894909547782,0.8137893833492065,1.697077936096184,1.114837232382312,1.0104033057567838,1.0649441413107723,1.057715189363208,1.0317229401184482,0.9216490812393546,0.8506489626592771,0.8664524645371601,0.9031525340504272,0.8914544366049207,0.9286477789627111,0.9617622440029362,1.0169129468772762,0.9341698177085075,0.9152085180961448,1.0050402822779763,0.972574273852247,0.9222889710837779,0.9705322841565655,1.086804981118369,0.9481075067263298,0.9680888001936772,1.0258544777443437,1.0101325458940809,0.9768510039475783,1.0737805523814314,1.0613494875763092,1.1343315431004368,1.077908293095803,1.0434073666047055,1.1295120622511157,1.2167714541957075,2.208505951252216,1.2843484664279439,1.6206991231626202,1.1995324850597822,1.3008730423317822,1.3579261312081627,1.3371810131358115,1.2917236359676096,1.0872066130946856,1.286450599480203,1.0723310829218577,1.1545812005814715,1.0652669839783275,1.1691373515927312,1.082255324718782,1.1489579383180066,1.1776680962543622,0.9596383037025807,1.0197905459814882,1.0628887192833572,1.147099314623159,1.2780511895311375,1.5613801115719568,1.3794641918733341,1.3076696449431484,1.3660506848542397,1.532053550829551,1.3711923916197888,1.2534309872251388,1.4476939901786574,1.4798209122514887,1.2290903769781205,1.3899158988869385,1.5877668493569,1.4288415924460545,1.254117114359926,1.328297425383742,1.241655498960215,1.309538870414486,1.2914990500394152,1.2763841442286685,1.242356786491452,1.1156311130185252,1.1430960256760523,1.1465000915197625,1.1008735326984316,1.0011120718949114,1.0599955934928698,1.156584819957348,1.0672941323583882,1.0289264825632425,1.0816104187155517,1.326097895758468,1.1340858959387115,1.1187901971624097,1.2042058085820517,1.3367300052944737,1.4946889420608818,1.2256899186713022,1.0173139893112897,0.9457465374293375,1.2900724249478532,1.232310217163588,1.2466623982970455,1.258064624617004,0.9909634121107187,0.9083865386543399,0.8909827842992868,0.8304917002187098,0.8504609103375311,1.0246292092123142,1.103267373856495,1.33998113103148,0.99949394537216,1.0010593933925636,1.0981934119827592,1.1935685909290412,0.9288355003851556,1.0089573417566864,1.063892831381256,1.3451026472115235,2.848239135565375,3.8438990583189274],[1.29935002941339,1.244684829283154,1.3909878217533773,1.0204239669905795,1.0886198933542555,1.0731444846263285,0.9318272676719079,1.0175822996068076,0.8015757910622976,0.7301192403148891,0.7318616834642837,0.8554139078069964,0.773120391564134,0.6821418281963041,0.8041453444468524,0.8091255733244604,0.7423263032582388,0.7673914575160633,0.747947470467963,0.7519243416875048,0.7666094860953965,0.7823934490596484,0.819630298374342,0.9429181041549869,0.866432574098245,0.7526046429641372,0.7835563784738606,0.744188782615803,0.7697491618036872,0.8439887927628842,0.8714239981771222,0.9376524909058536,0.9993298104081222,0.9677975945857714,0.9247849196965873,0.8442287554262589,0.918964676137563,0.8301809682165643,0.8211488948453578,0.8627125077340395,0.9935884473668829,0.8133412547145206,0.8009712367746009,0.9185143365417487,0.9955538830314571,1.6010598753810326,1.3662433590313536,1.2077416135992696,2.368759442908991,2.4593217689704097,1.3849783529580908,1.7926391726288144,1.1813645762152465,1.074909625291255,1.664387913332638,0.9705644318342327,1.0855450572143943,0.8731194420871027,0.998773250302092,1.229017371573169,0.8939170242428396,1.0538138192846636,1.0583250027969013,1.076544469946887,0.8344098144877683,0.8665171504592957,0.9611596219015752,0.8512408772717059,0.9643356578613883,0.9077990398214116,1.0629527795059772,1.2909403531464558,1.159057219693978,1.1603545507714086,0.9305399325644564,1.326500113971675,0.8395581655914658,0.9369688554025761,0.8920282611030819,0.8564895038329133,0.8876058258275524,0.8997765676419006,1.4177528483377564,1.1863408707341938,0.9565203380255376,0.8747430946167937,0.854371325202469,1.018481603848655,0.8790396315039717,0.9820303115729904,0.8686426632504738,1.0674555808131723,0.9410087994029273,0.9552390747918295,0.9151532830200595,1.0021154449196048,0.9395652842604247,0.9441731368232842,0.9712320915275816,1.1843641869062291,1.031553261550659,1.1095989451940713,1.0523315984426438,1.123749948940715,1.1444971274752016,1.1531339023921867,1.4528937241034037,1.278381067389644,1.336788760679011,1.4417856237239361,1.2281126390045956,1.033616883907935,0.9402001099915758,0.8934151413957707,0.7980034483389431,0.7294376131275988,0.7329138634371403,0.6999663030041234,0.7195514978542628,0.7685098818225571,0.6839279411533984,0.6583910284582583,0.6664707262617136,0.7136508973151878,0.7831944355793493,0.8971288166629244,1.0533283021148858,1.0940484336651057,1.1668768733126214,1.1645623857566063,1.1866811883205668,1.2554484837504585,1.1951298334336924,1.2121273859110095,1.1467921182852503,1.1288995017176608,1.2167876686542416,1.0241314235179926,0.9445063091609147,0.8730151819082145,0.9035146313222254,0.8548238987501794,0.7879236132384317,0.7577151294239614,0.7285760415893333,0.7918941238453948,0.7760696829125908,0.8746659495293522,0.8984327539172922,0.9039017178565568,1.0581834306868787,1.0559447691143826,1.3419200365421915,1.6165571356070656,1.2454817576600563,1.1268613556272458,0.9921980220486605,1.0555048785808143,0.9627552041788755,1.0418287377591184,0.9655025725179005,0.9078770585745747,0.8917630522802291,0.8887951640401575,1.052035315137337,0.951955715996404,1.0564136793748196,1.1489646137907528,1.2543159520836524,1.16011130728395,1.0724096883209473,1.005045717569517,1.0331248819525538,0.9726090130412576,0.9442467126855889,1.0342697738109745,0.9627609086798654,1.1931989258462734,0.9927533812319985,1.1483609887424442,0.9365557524854919,1.0579954882349496,1.0962048325241875,1.0722418344651028,0.993925786993105,0.9011024031205033,0.8799246414858329,0.9566008681464615,1.7366013657594086,1.243967875366285,1.2847293247613776,1.1466819771086565,1.2821442185835537,1.2900887447890208,1.2312178062286154,1.2319133209621873,1.2621941058936812,1.282999285986383,1.3113677531016936,1.312688548363037,1.3854784165288174,1.39651431270028,1.303683375345676,1.3631784514210181,1.4545010366590938,1.3875098736534686,1.3502586437298016,1.4655867200361345,1.5539373314664562,1.4152341687109462,1.4826003988153253,1.5603558636734542,1.4886665885259285,1.4871709292306168,1.664495020690453,1.6249265898116148,1.6910475398972593,1.5998198560429242,1.6084234758593996,1.6997238319319634,1.7592973998253878,2.4568819098906167,1.7550396472687992,2.0539889994900915,1.7513683778083238,1.7724253657047917,1.7762346725664535,1.7872977474910763,1.73106545270478,1.5819150772320414,1.7323678860189913,1.5762646876195183,1.6553343877177542,1.564346620811014,1.6337961317562977,1.5318272758369795,1.5301539392277301,1.4302967286177528,1.3837723630156644,1.3970210443231976,1.4663706548893538,1.5569873797030862,1.6287074304755271,1.8879208141497006,1.6925584494059926,1.651780804980574,1.747370708748986,1.8591525863442162,1.699009452568746,1.639657818243596,1.7882784274371721,1.7690705133682918,1.614308672695477,1.7979905011833912,1.9233047571476396,1.746336483585619,1.7102545931868194,1.7698057940085565,1.736040579929257,1.7793776496338343,1.7287691795083848,1.7594072601496873,1.7613222643746815,1.6251791269384508,1.6253279732129546,1.6811026684204682,1.6412587903596827,1.5078678983247111,1.598321428973036,1.6720330037487172,1.5695149690807653,1.4880580436547761,1.5981737385985957,1.6710735466261042,1.5724037755541564,1.5386682633973519,1.6874548015002204,1.6955336900317346,1.9322134121363714,1.6548751996849504,1.5022439479630025,1.4256560724678604,1.649798824151716,1.5929392248674534,1.593478635582586,1.5625993293465252,1.3850806550350043,1.2642225884130782,1.3001750615502965,1.1746234565801563,1.1771890921425228,1.3562017985971175,1.467948878780957,1.5050560615854662,1.2996364599600867,1.3837181014512376,1.425748264531817,1.4432308368866915,1.240779594026552,1.3857906463582004,1.3790227783567346,1.5949442077805243,3.170618723106669,4.280628851968501],[2.2330348562106948,2.2306829184740837,2.4018205575068756,2.093621941951827,2.0821240775485617,1.9690061528761458,1.8334496852070947,1.7576477332198532,1.5744100843530615,1.5508297297361586,1.426997401560141,1.4295735142336023,1.4980037538710715,1.4102075503272369,1.3214276753392054,1.3970441268429143,1.4532772411060277,1.3889833094928465,1.3945690764375793,1.4336856663953836,1.3992685536120617,1.4326589277850807,1.4943282697843936,1.5593455039913258,1.6123245514948783,1.4823572341710243,1.5697074343686368,1.542631166155745,1.4854080578047788,1.5015752869770769,1.334047175031572,1.4766495795666688,1.3960627170559685,1.3532495906454858,1.4283401265312032,1.4203819259702952,1.5619800559217325,1.5628358194231855,1.6233403089995924,1.6688152785463923,1.667182807790285,1.5117291302868479,1.4674185709649679,1.5908142405613963,1.758337725028645,2.19424952091781,2.050508328439983,1.8683032551866374,2.5383107030411387,2.71079037768996,1.9367584365585262,2.2543121932707457,1.8851013763450024,1.888691545967273,2.1563464135860477,1.525497861991958,1.6143780699484815,1.3855714437173428,1.4158229884943967,1.5792767974570052,1.4272703947016536,1.478319229662122,1.4690129342990914,1.3275382338399642,1.364164854756604,1.3970964919586184,1.3653298058397756,1.3487187494293054,1.3314235935902632,1.3009120259828626,1.3602769570870663,1.4672714335338775,1.3153325718312756,1.333277503854163,1.3068532616267938,1.5576596785415178,1.3038893409155747,1.3574607928451115,1.4038531341987028,1.4132518653705777,1.4629224662448903,1.5459013993202246,1.9870826124780212,1.9076561926115496,1.7396282956674511,1.5929550489960194,1.5208560931582562,1.62029144995444,1.4651127748572705,1.415984677639537,1.3039294715863654,1.28113412558932,1.260320329554468,1.2692991764428447,1.304208494573487,1.2748407086173335,1.2971256591342026,1.3646535933404116,1.4317128713766258,1.5900712861051423,1.5151384644314423,1.6496597688762427,1.6411413185001966,1.7634150038600376,1.8447435848463023,1.8892150582805223,2.1198858328088956,2.0515636071608565,2.114967538751317,2.1664492477608257,2.037665063843998,1.9065808275460125,1.805696262971951,1.8065417159882675,1.663750063078252,1.657278448649254,1.5882366140259987,1.645843682054329,1.522141555282152,1.5014324071588276,1.5103983476995588,1.513566482794134,1.625645383517635,1.699860731337563,1.7583936091406704,1.8763579367162848,1.959278782727154,2.0172792847171266,2.0619871018033096,2.0106407768654164,2.0914289448738974,2.1144509489309815,2.095248421121516,2.0364963711092603,2.0421334282549664,2.0329162628338158,2.1070139346226027,2.0361070398107146,1.9684057270756163,1.866406182262758,1.9127695249428278,1.8298787503460705,1.685822786408622,1.6928716735151792,1.5799395173360025,1.6036816357109878,1.6500487512305462,1.676634268415852,1.717306926100749,1.678281747339461,1.771745769631898,1.6850739203564447,1.8681027836660817,2.002127688428471,1.700536232066289,1.6428908783831164,1.561740081588325,1.6904040386606238,1.63539082457598,1.7818362784034276,1.828151423673036,1.70327722356482,1.8280100412126024,1.7666912247909483,1.9806228621226227,1.9686382689038542,2.038157893262067,2.137879268189399,2.215239701191969,2.148849476701061,2.04026750688047,1.9795027226444568,1.9449694498730952,1.8458581263417788,1.7560278047339757,1.7691067302188164,1.6552899417639213,1.7947285775002588,1.7295370059463269,1.8826649792112296,1.7493887473981247,1.8796301308619676,1.9420803485838505,1.9430317809962507,1.871216688665855,1.7110709543050246,1.6337516891181476,1.823643475443139,2.1374501389715737,2.0436241443177576,2.1179482451336007,1.9965214693132014,2.172858010403085,2.1829281221246406,2.1383078369879365,2.1451203936244867,2.180627884357339,2.163227901128341,2.1913597294074165,2.1304147362245667,2.1552730736806835,2.1138357721800514,2.104337184663776,2.1876205040927243,2.1871090656181904,2.1458845855902915,2.2034543512702522,2.255864793164671,2.20954876354542,2.224288147110258,2.3017308459146544,2.271041295606398,2.218939587870382,2.3333319642308266,2.4395725175445686,2.4484435481973454,2.3512655465529804,2.3542766690159627,2.372978476261354,2.3457208591745777,2.3588730639841793,2.7083938119423214,2.3322884993468476,2.5495530259848223,2.309281205921885,2.277534753153972,2.3041621994828625,2.3279709092884024,2.263803458584327,2.3050652971327414,2.4228951042199496,2.283349501949009,2.4452568125441494,2.3806944222489697,2.4043267348781154,2.3140414594771332,2.249570367754335,2.1161862539872858,2.168155071288565,2.1547953537978817,2.195002509339407,2.2261288692873795,2.2146621215231783,2.3498517797978975,2.2070242805284046,2.263992175612774,2.249773561053936,2.3075835236916387,2.222544604056446,2.2151686451759987,2.2620467119651817,2.2404857399369815,2.2012819343029313,2.274359232868513,2.325857039796354,2.242956933555848,2.231655953707327,2.206548554049039,2.2546387825710554,2.260510416315362,2.2598483703164516,2.2722591015168185,2.283389580551367,2.271608480190125,2.2738421780838127,2.320631328695441,2.3215370051020288,2.2713804794524766,2.3197031472154888,2.3699979576608023,2.351847688432598,2.2734768978536617,2.340389326944099,2.3456754705832936,2.3543992103021916,2.368855966262869,2.489896841820836,2.533769060518204,2.658378983032941,2.5110457882363613,2.369060410990883,2.333623544610809,2.5175335674740658,2.476043473331533,2.4811539775925238,2.4262940941609927,2.2380769081218843,2.209992887045316,2.1985611716006814,2.1172420512968424,2.079471770360483,2.111354647177105,2.129807977897945,2.0827555233348978,2.0831538374556584,2.1441128068162825,2.0648362291709494,2.116235935283448,2.070651656298734,2.1325917139559363,2.073917524109758,2.032502391775803,3.3981701049720505,4.426196129169628],[2.291109251630842,2.2696553778510773,2.397855042769638,1.9605068165347637,1.947564135433741,1.745719933885307,1.5392918962099817,1.4910871542029684,1.201154945545752,1.1197928379532667,1.0074070756306714,1.090875251752108,1.0921941133700472,0.9687275477491619,0.9705730237319107,1.0290879199352958,1.027069308500955,0.9806703269272169,0.9592940382191993,1.0078832457017737,0.9668174659324017,1.011405733050269,1.0312365953641869,1.1416448696410426,1.1803914313742143,1.034288607164718,1.1244096071070055,1.103747716927975,1.0712898801581756,1.136277985940174,1.0297194681326354,1.15469897572333,1.1762403355857578,1.1400096996213525,1.1322283631709427,1.0662033164857214,1.207606795289556,1.1711124414928138,1.2238399868836316,1.3127448475477148,1.3320318664943929,1.10959113149837,1.090616202857997,1.2102031715250545,1.3609632756030352,1.8651651660916568,1.6809861136240514,1.5240950131930158,2.401925829762209,2.5604741189624955,1.6560751621293495,2.042674136785425,1.558563030422497,1.5333323009831232,1.9052128207321868,1.215890465716896,1.2866133675511087,1.097544194350236,1.173410359277636,1.3212875500863832,1.0833934769346065,1.174257866874205,1.1965919587357319,1.1356701401866818,0.9878886146201917,1.0252950269969952,1.054021661628995,1.0101962622893133,1.0416208939191145,1.0113512937237266,1.1095818532192498,1.3087141605072616,1.1811672230070964,1.191902040150604,1.0269449106816029,1.3746318980493013,0.9820574796472772,1.0999112673884561,1.0856419439363496,1.0675787836922939,1.142145137619862,1.2335717002292141,1.7341915853908596,1.6175539247919728,1.4282595854642908,1.2628596106963155,1.162403206048551,1.2801893381292424,1.1061253478062458,1.1627377400250707,1.027309804698421,1.1719194055724753,1.073274413758457,1.1007956119324698,1.0585571134011584,1.1336779143100055,1.0665286948876487,1.1134245472006543,1.1580085678356093,1.3639959189028144,1.256418214136861,1.4396031939082197,1.3847599975118898,1.5641790308701278,1.670708724903425,1.7471434694750956,2.063034568195568,2.001982901965992,2.076625087533294,2.0846456816149166,1.9100649174379567,1.6797348397907728,1.5141521313379414,1.4757383501406052,1.2599513199840935,1.2346450274374026,1.1526267817906815,1.191980346888427,1.0655284930194184,1.0579107369245928,1.034327633954449,1.0516132487747971,1.1625682239881272,1.2659093847354643,1.3663167194437054,1.5646886244124953,1.760855178532225,1.8302713807726554,1.9384279946654932,1.8778706224643822,2.03018892705809,2.0818034224855544,2.009498796419103,1.9085994986479984,1.8863262121073314,1.830099598356395,1.9763538252009696,1.7880340350827457,1.6504946032531433,1.5160738896381478,1.5357406529845443,1.430974874680081,1.2643777079811436,1.2847716960806663,1.1734493674517428,1.1959518344933173,1.2567414899073572,1.3038360905113089,1.3993112621233617,1.3600022232940483,1.5482605368176023,1.4337921304460992,1.668632697722553,1.832938168629969,1.4740948437819739,1.4161523475966185,1.2928772242236517,1.4564009665584388,1.3345330252126248,1.5393352246238599,1.532791218586676,1.3495104659184538,1.4702141065826502,1.4232043861490487,1.6803143336744861,1.6791293601024304,1.8165488523332725,1.943164980334469,2.072737744543583,1.9490421925516994,1.8435461582655353,1.7171512212712055,1.679945393908627,1.5649277842695266,1.4600106634515295,1.516387850692861,1.359145758381808,1.5631464626024572,1.4474611040591294,1.6407334267730111,1.492408515440777,1.668150234348225,1.7626515352177223,1.7709044133310747,1.6631311478137976,1.4540063638723948,1.3347220750717834,1.5458769868631763,1.914548200252613,1.7737333695805357,1.89967152163588,1.786093671873725,2.033235700217612,2.080479881466563,2.0787259683112786,2.1461088520750184,2.1755065445199553,2.220361510034976,2.2970277248527835,2.1982829521939036,2.3396608642454297,2.261500370981417,2.1830133745676963,2.3697765196670697,2.4436107275173446,2.322003794133084,2.358942697871323,2.537738862855912,2.5272678528529653,2.4266388341618703,2.5830659424701596,2.6653069970022183,2.5143030106757673,2.569366927673437,2.841117256078554,2.810155569338555,2.876039153956912,2.77812423375107,2.790046353552219,2.8686012206978306,2.9097916274979556,3.191481910602192,2.9262436083605463,3.065000980065223,2.8008756516421376,2.719615178582026,2.6513182903739354,2.687001859620911,2.690345755542894,2.6497027427354536,2.7109275503721166,2.6442606622934997,2.790567898663537,2.6320140966590175,2.624815186833893,2.612963150105701,2.518172740666335,2.264518024396759,2.3530163651298723,2.277027258067963,2.3895428602145388,2.4706753477795793,2.411851872584175,2.5932486490434865,2.3672195430345986,2.426147586385333,2.529630677763531,2.5343136611958235,2.369538058723339,2.455805920413706,2.5472789555422315,2.470212499510764,2.462018682123512,2.6560489647995555,2.689205103132924,2.56202440491476,2.67037952324393,2.7385706793097238,2.7504153647764595,2.734878387949057,2.6345709026612205,2.7170862325774228,2.80104351916195,2.66690737722927,2.661210143004289,2.790454844184654,2.7637668782858333,2.609678822026832,2.747499654490985,2.825074027711703,2.709916956965091,2.598324651517443,2.7409216604343505,2.751360100532636,2.6958390889373955,2.6379717832202543,2.800555093811894,2.806396417814406,2.9761816376943964,2.7463775899048577,2.609779547848222,2.4799872063396706,2.626885421185345,2.5914677736604315,2.6286813094637176,2.5283508419875833,2.4059617281271066,2.251468341001977,2.2352770600704197,2.0504765936918057,2.073845747333474,2.1139666523803435,2.2210247891819543,2.0943649695686024,2.0247036668737604,2.2110411173833726,2.1218759981336692,1.997042869982321,2.007357981922261,2.2139378484653562,2.0556647826038983,1.982995796380141,3.3515793008562835,4.497713833065326],[1.4493858966061237,1.4248273433551972,1.5195224429165823,1.1785207216842644,1.220344353121576,1.200593560102573,1.0293717668810551,1.1017857205776218,0.8624380909741143,0.7745354518863873,0.7681946967328968,0.8806078729258414,0.8087605933282462,0.7157616324351936,0.8202557290781576,0.8224099077333701,0.7679340267938186,0.772001806184083,0.7571211240429696,0.7559384236411969,0.7565381647626963,0.7955370790290744,0.8701092794177997,1.0266919273277395,0.9119955050033672,0.8019226017913392,0.7959485333151373,0.7817411077424572,0.7887490182104724,0.872069911740996,0.8868188096689105,0.9365602438224456,1.0077790651979552,0.9637016950794067,0.9284335652825388,0.8541687938800878,0.9506548319574524,0.8497215919063207,0.861678204255589,0.920995185812359,1.1106748232488024,0.9007672136014291,0.8641731850165154,1.047366982686961,1.0308421821351637,1.6855449121549209,1.460365207387639,1.3411102251660003,2.5355666313645573,2.674733001934824,1.621194277733895,1.9034328718002154,1.211376236439663,1.1405190627464117,1.6881355470264883,1.017346015452428,1.138710165526915,0.9240726186637597,1.0058216026114115,1.247712654612069,0.9060077399644123,1.0075210406234296,0.9859883172501857,1.064502424683399,0.8536536590269184,0.8660475448747689,0.9119119189104469,0.8026684450217296,0.9303011137213212,0.8640238340589386,1.0162692180941562,1.3150052442565614,1.141132242062788,1.143834469872364,0.9298971933541164,1.3966866879681388,0.8464614504827178,0.9374702454796993,0.880733611549789,0.8755054750941528,0.9326673920293902,0.9493284103332756,1.4299857014119801,1.2340641623886128,1.0421835881470134,0.9398207390324529,0.8791054434846187,1.0543196764206983,0.8631423203011748,0.9844184551539565,0.8752181979466327,1.1253393135451888,0.9877912877905427,0.990191722320773,0.9264781217912871,1.0163308661500532,0.9863134698555404,0.9628122738477548,1.0024014357760695,1.228291556764098,1.0640582375566432,1.1643746999633366,1.1097510612533676,1.1953966956507767,1.2372514614106005,1.2410003875805444,1.569004555931218,1.416677377048596,1.4823456382124767,1.573502977336814,1.3625568420349643,1.163430147715086,1.0414439669870172,0.988593045661829,0.8519595911838566,0.8361855053691715,0.7972680094198422,0.7649617323313883,0.7300898043382972,0.7910331502769699,0.696853043504911,0.7003261412591569,0.7275903422189589,0.8112299881082563,0.8803030848761637,1.0011004912119121,1.156136394902081,1.211326985429863,1.3020196181637644,1.2854513026419845,1.3298250651216497,1.4028199115763575,1.3365079799620527,1.3303240238532885,1.2776041847109567,1.257411196420589,1.350521400336553,1.1403206555291194,1.0282364752570163,0.9519975643902799,0.9662773711971375,0.9123839145090842,0.8051193553227542,0.8181884740078602,0.8223771143775578,0.8586213144751441,0.854492407370964,0.9277473120240517,0.9854339605929675,0.9896969295276374,1.155217959090874,1.1550692752784348,1.4499469761967247,1.7218066699670675,1.3293524125741798,1.2083923129878131,1.0499217865099086,1.1242055282587002,1.0178213882616864,1.1208563650622245,1.0615726956709022,0.9555617624909621,0.9499968727576482,0.9436732704483606,1.115451228820072,1.0580775395823097,1.1717670318821798,1.2722823695141146,1.388399110163821,1.2732044816040713,1.1967241927861467,1.1054330620972803,1.1341541356007223,1.0609466945387327,1.0278704325282153,1.1035133952841234,1.0105198855161157,1.2284661954931102,1.0417600945764265,1.2031708188559995,1.0077333181134256,1.1536112513647054,1.2053001491573154,1.1914138182770981,1.116179449335892,1.0080807401270493,0.9991840547525807,1.0107219472466373,1.8274776014846812,1.371692459267237,1.3080693901733438,1.3043150805635204,1.4397847275641509,1.4522333638818086,1.3800267382578941,1.37508142662067,1.388238363313989,1.4355909595260266,1.4792443857870665,1.4632474274331628,1.5622866954957515,1.5574312813980296,1.4599624841117567,1.543496102510872,1.6448485120956375,1.567573974729849,1.5208398236954068,1.6626652146068825,1.7444606566303045,1.5993556101834057,1.6763652391126604,1.7679167296143439,1.6858202516415477,1.6723383861933239,1.8560251380763917,1.8219409261528698,1.9251611504225423,1.8094177877586177,1.8255171039347655,1.921268951215601,1.9776834147616926,2.5401108799494403,2.032522904393075,2.2718346961176445,1.952262025227517,1.9458756220953584,1.943381240933562,1.931596943701784,1.9026208522594255,1.782903470787993,1.9022916421256397,1.7763748685623622,1.8874468476558912,1.755353122172794,1.7598042718145332,1.7404664799246952,1.6827019120339775,1.5165279256577997,1.5306884605489566,1.5473054743320258,1.6418427896206058,1.7343102791975085,1.7829600720986545,2.0360861073244036,1.8459661872802156,1.8209272417306517,1.9140510946505271,2.019620392829542,1.8494676361255888,1.8094239730794606,1.9725497071074825,1.9497847242693294,1.8027611446399883,1.9960273216621598,2.118813177251974,1.9630796753171136,1.9161128917200856,1.989448916536611,1.9469369382696977,1.9797922857348396,1.9126575545207052,1.9477210793654571,1.9719704848729174,1.8196903075579964,1.8265622059696924,1.894125474011302,1.8475681486077227,1.710905597183724,1.8249158864848165,1.8845053104498017,1.7727077066870853,1.6940826702507399,1.8017214224295077,1.863092472775587,1.7585346344123582,1.7181366810911938,1.853515474231557,1.8902395118126385,2.080126058127344,1.8183900847594268,1.678711498381121,1.560492337610696,1.731079572579194,1.701748640341399,1.7248651790316825,1.6664960635156276,1.5280465396842018,1.4248674746687628,1.4546509168468575,1.320453122963999,1.3288537561182319,1.4966085125777286,1.6104538954580403,1.6400258248917758,1.436547303154082,1.53641010902407,1.5669392166978076,1.5570943891708842,1.4021835473437374,1.5383149965709235,1.5240452115658825,1.7019822818502341,3.2276609294581515,4.291285940091368],[1.951950979600707,2.003826672222259,2.1979623452680346,2.019661709764047,2.0471122786268,2.0304287305560402,2.0091067708359787,1.9503328809073033,1.897655518043318,1.9372899123045215,1.8879395993228565,1.836632610085803,1.8995608655538518,1.886005128506621,1.7922465145243505,1.816543051190827,1.88450475430696,1.8606261605301802,1.8902825211115917,1.9031870406641092,1.8752132701141913,1.863792654673839,1.9791578990703234,1.997695895493508,2.03045571614021,1.9339979555417128,1.9552253195403924,1.9690694978087826,1.9107138272585404,1.8787396707054997,1.7908084826620114,1.8404194953755182,1.781634886156272,1.7600137606961745,1.8067120609234875,1.8229378797761875,1.897400439728836,1.9087200224349807,1.9494612442350434,1.9628301164216067,1.9184911375141196,1.856226355256232,1.8168258827623334,1.892254099690684,2.1755891653971338,2.447723935180075,2.341747050580925,2.1227597310442645,2.519923367843436,2.672485666384559,2.154202877505918,2.387145228054746,2.1727676464495635,2.3000202446786644,2.5627303510686286,1.8190314462864015,1.8242012752425742,1.7466897154565404,1.7911542653980648,1.7956397535863802,1.845594813139796,1.882314366345137,1.884509051484697,1.844462208654965,1.8520116557405324,1.8409916326992775,1.8638073423979429,1.8422027400634562,1.8796239371585537,1.7964861641783303,1.9040699039135682,2.026824828326961,1.7559907523988578,1.8053324416043628,1.8262340744035352,1.913051762205594,1.8092631533400176,1.7966944816556452,1.8246157067445654,1.8355501157098835,1.7966126044531656,1.8514137798381822,2.2399117569483282,2.123062236455833,1.9887704019106476,1.9007873776825586,1.8594219523794144,1.9182436743493547,1.8537351839907503,1.7877961331915042,1.7733252647967965,1.6801542017376472,1.718391841250152,1.6920955893244882,1.7479797366715433,1.7420104744546974,1.7568857581525243,1.7541624750595481,1.789521537515469,1.8546325761259692,1.829674596166933,1.8633899501735902,1.8692952174409343,1.9576916936256015,2.0186303707662456,1.9781262690931565,2.1500400902772117,2.057946995685478,2.0994568962406834,2.204302241477146,2.0910862207647574,2.0581375705140696,1.9965803022383126,2.0206174238698247,1.9809661623530759,2.0040181947961417,2.0012473478824258,2.039676401343496,2.008825095873505,1.9877342377556593,1.9926360120318003,1.9758180231029496,2.0172271086666895,2.039060918072631,2.0352055843785655,2.025089766787662,2.022747072714033,2.107077325693275,2.070680359813746,2.0423695812580807,2.045754539664998,2.0514741069413778,2.066637567705116,2.072097383382806,2.052953911806523,2.077231253504618,2.088550227721264,2.12644649942851,2.127034428888401,2.0807740540606607,2.194320535699763,2.152803209032278,2.0610236703281237,2.0109132687945905,1.9012578806245266,1.9328594782842246,1.9690676271722687,1.963466740559965,1.9692717122534535,1.9344116674182605,1.9584117848786697,1.931680221219413,2.108518442021044,2.230452420682479,1.9708840849442588,1.8966595701272297,1.8567943858068812,1.9180457745819013,1.924732589571549,2.0000139425446846,2.0300097979612315,1.9789718476944376,2.0733672769664677,2.016611449530011,2.134303621641958,2.1160204991500935,2.083699740711751,2.138036010362468,2.155038949176559,2.1492344071250207,2.0710922703173087,2.099842397992756,2.0641414686458623,2.017842519882811,1.9873336117995695,1.9854018852395043,1.920156407502434,2.0397137230477265,1.974987545442673,2.0577827731963185,1.930946580911443,2.0184890216773623,2.039627681840184,2.0145024128376816,1.9655913962588265,1.8669040625620026,1.8283014299761773,2.0683120408433786,2.229873883250669,2.1501215116158794,2.163665409116846,2.129440308085438,2.1966325579042034,2.1722049077125347,2.102654089717887,2.0405036634964424,2.053932586110429,2.0267819085382746,2.016757571274552,2.0031267082960045,1.9634698401764308,1.9748447442810801,1.984648450308264,1.9546695601131743,1.9550463180541828,1.9614216513434757,1.9465540398085106,1.9426758439502452,1.9490123481689763,1.960230834865804,1.9486186059997939,1.893828446245953,1.9238787905037393,1.977874043482844,1.9305667176098047,1.9646603920909465,1.8905581440226644,1.8598024422364514,1.9250139907923969,1.8962982476170498,1.9240022864048594,2.4452196545241174,2.0228766332949006,2.258706550483441,1.951912711695519,1.9826209507951587,2.0759718951035313,2.0670037464418116,1.9815771718988324,2.00599514262517,2.1700322471027262,1.9752918097305185,2.112146130989559,2.092386026840015,2.092712141792011,2.021932777568101,1.9683949967949383,1.9085360173261603,1.9326768665044058,2.0008441398279246,2.0298787326951184,2.044121705808918,2.075645763252017,2.225659827174428,2.1185085098357734,2.1406213158767105,2.0783447770225036,2.179291875746053,2.117896246119056,2.06045103511205,2.1424043721350223,2.1731136583376713,2.0528285791619134,2.076439142597313,2.202798433401758,2.15186684256025,1.9703684753325366,1.9719749216683742,1.9479218682400317,1.989139255613645,2.0223111164463647,1.99387845614918,1.954708573056762,1.9457409504362126,1.9803021014146291,1.946450943246159,1.9233444395431578,1.93595364824441,1.9492399604027897,1.9505211548742574,1.9686450836583342,1.9540660087157025,1.9400856960716382,1.9939009460984378,1.9478670980416128,1.9845879877506247,1.9909943799470513,2.1333534532711598,2.1636386623858748,2.093511313825332,1.9872479073732467,1.9954010867005618,2.179036843026021,2.164814066290518,2.1573773048977163,2.173405856250559,1.9479454731806694,2.063993158926421,2.062392394269132,2.076780003659896,2.0037500509657953,2.0540689179210365,2.0050743030295446,2.133867243440123,2.0634286832057116,2.002926658242257,1.9722742892451952,2.125195798827759,2.0034577392476,1.9774793257733025,1.9786062619816218,1.9138406406867605,3.077570592068649,3.940289598919734],[2.4846529779278432,2.52524924014556,2.6794590039142294,2.408324996567914,2.398855442133636,2.184747861323171,2.0736253634485746,1.938200338427076,1.7469305385263283,1.7306414786022029,1.5585636211488574,1.5212392044307124,1.6603429598509678,1.5802813831351414,1.4190960840038598,1.4932681047986343,1.625500759179655,1.5452256202734231,1.603491965252088,1.6354726796132382,1.5883661219375027,1.5988564414126403,1.7062982593529328,1.7769011038322198,1.8512337221047894,1.7380782170948694,1.7966716124460447,1.7903184626080866,1.671923153731886,1.6326615651892005,1.390237162077352,1.5186204485027743,1.388065034736574,1.3442889751697003,1.472661894332545,1.5129964700677518,1.6669437446022757,1.730230205804667,1.8393870141505801,1.8884746686026601,1.8664372450232374,1.7031987651476077,1.6680190895660882,1.8072595064081682,2.1462258838001977,2.523714119588307,2.384991402192402,2.1132226808603125,2.574720676100202,2.753130398870195,2.1424905136523216,2.3943084199229676,2.087291091220645,2.228121651426522,2.4690899014311394,1.683042727376963,1.6657097866686057,1.5678025824956638,1.589955389073858,1.6176801755195713,1.6024444345993678,1.5876195206722774,1.5553912188113739,1.5526443147038163,1.5514656904158208,1.5506268620350145,1.5256181253245351,1.4796249783551705,1.5558669490028427,1.4089294085644555,1.5469449247562,1.627566232678858,1.3384224804474838,1.398000957515329,1.3752677230042432,1.4724652994619787,1.408957447591881,1.3636029314808784,1.4599515291201435,1.5475035225351688,1.558207156332276,1.6959699927924348,2.119492393056026,2.048109387171123,1.9551090730905218,1.7814324884587485,1.6653087960324786,1.6901349536023802,1.5476439033908742,1.4056079630680793,1.3478463169853363,1.2004917031889253,1.2240050733746426,1.2087842443953052,1.2944627453133928,1.2222132314950813,1.282254570582861,1.343004244240362,1.4426598576672272,1.5914906942551559,1.5712997582920623,1.7474783256696649,1.7437648965994978,1.9437989852726267,2.086954098948553,2.1123124887854927,2.3577942658571236,2.3554466030132972,2.4160154194878634,2.415580048567391,2.300802704540501,2.1840639060590474,2.048164532478647,2.063213585579422,1.894836171645412,1.9370273882038864,1.8461722568964636,1.9423177952541584,1.8013719361204932,1.7163138431310097,1.7388920148996765,1.7536361043443023,1.913240600131947,1.9815760114194125,2.027809682127258,2.150680429367727,2.2563673368203787,2.3437308673860917,2.3705163470097523,2.2850202153139305,2.4338683056254644,2.4464916336846096,2.421338849266526,2.3266778489459705,2.3328384389224626,2.294118056025913,2.4506382091078662,2.3523021269051787,2.2721759988164805,2.1616597469704595,2.2583475653371474,2.1776045646812388,2.013522091121405,1.9881144862229003,1.853693789976601,1.8367692684586765,1.905282491160796,1.8795065285999406,1.9455493668743398,1.875022053221117,1.9699665991789244,1.8270559680726923,2.0322691469379057,2.1030185105761166,1.7435940722660461,1.7172598350139672,1.668802291069814,1.8356523858278715,1.7882458866601663,2.0082155267622785,2.077999762285982,1.9238089822717424,2.099214654652914,2.023805357191741,2.240370356814421,2.3000855205857995,2.3432091894256732,2.4461772056393913,2.5075870319716276,2.446874575441941,2.3661300182130898,2.289076838163132,2.2064560719520796,2.1077986801414297,1.9998603838699731,1.9831834255274476,1.8287205172103582,1.980572909344941,1.9421830033998955,2.0802006563756685,2.0300219424662203,2.146929838958041,2.2434576497401033,2.255790207993772,2.1796756295550086,2.003329224941002,1.880647486947185,2.2119077780354686,2.2742524234927712,2.269216435060005,2.4586710324775263,2.3046008116027914,2.492441981527409,2.517284313781778,2.5124189342954715,2.5465396384840173,2.5503625285460525,2.5574381980347227,2.6085353943069784,2.492563124921453,2.5372169934355546,2.4506421928697373,2.4522769496451007,2.5804990365226534,2.563313239549004,2.4959689725936087,2.601308414416795,2.662778077048648,2.5665493727216724,2.584448410881523,2.700298181079848,2.659570313076226,2.5755281672220796,2.7297720321151044,2.8233335500458896,2.8535515723159772,2.8142352403416537,2.7937351798438295,2.8015162117424235,2.777637707297893,2.8055366652223412,3.109329962848101,2.8864498558459024,2.9205659429737607,2.681734215204376,2.634166187084938,2.655462523863134,2.7062324616355173,2.665794089957299,2.6975180546352067,2.793333312148253,2.6857392056899836,2.8450890160990663,2.7752331483030432,2.7635298535816037,2.8032869106367126,2.7345327720807355,2.523501940522764,2.585890946386606,2.4952099764919553,2.5626225907340903,2.5723741892349397,2.498842156860601,2.6297531543722843,2.4530224590124514,2.55384290673967,2.5373700397056296,2.5306324859198206,2.4590773574984253,2.5260443420830616,2.552922791276036,2.520465489046439,2.528181554771532,2.59896469551887,2.6335569618699237,2.6082549656360787,2.6020491104732657,2.598906047114951,2.6397021815680812,2.63132890295405,2.605186774068845,2.6458208548377016,2.6943363377160097,2.667250691018338,2.680165395344173,2.748595047545091,2.752981480989059,2.7024139589263623,2.774093577627958,2.819335610941714,2.8232989126504537,2.787922443657322,2.814945509282526,2.912267805805472,2.8511124052313024,2.858667246553088,2.9586903994065663,3.073122997236193,2.9896629734866624,2.995606256072253,2.80439868338057,2.739650889582894,2.9675686962454626,2.94094064849848,2.9867158350859815,2.9125428568152585,2.681324368206308,2.6457415471188934,2.579128029698453,2.4809755287322974,2.4330360553807764,2.372959177850771,2.3832977153664787,2.356454376081137,2.3269499048055335,2.39593913873762,2.280511463124513,2.281065429598753,2.305158894532545,2.3541903403690605,2.219949545098092,2.0434468092634432,3.1292809653357123,4.153625294092366],[1.7061765175492352,1.7191446283564273,1.843961492662448,1.4923552193997647,1.5036966582141689,1.3519045655008346,1.225332740841966,1.165752961478334,1.022441822092403,0.9948099631223429,0.9587894448132551,0.9754821849341749,0.9610606395974777,0.9462884664603983,0.9514413612215893,0.931837081177059,0.953168857859636,0.9444168829277441,0.9960103684544755,0.9548191561440541,0.9574258057636977,0.95223491879605,1.01031376000805,1.0792983841399457,0.9902923791550233,0.9591522231971013,0.9740303546471171,0.9618301758725607,0.9577393382062056,0.981674879281132,0.9683831183185014,1.0012264710939751,1.0316431018086774,1.0081866480230437,0.9709440547403902,0.9509483767054494,1.0113550758110457,0.978827341599912,1.0317757473271487,1.0519970640334766,1.0636271583201597,0.9446648389748382,0.9263074592084847,1.0387732901100395,1.4253624895524253,1.840150931574717,1.716300942485164,1.4142559963262342,2.0450783382924467,2.1772919048756276,1.3891801428652575,1.6406536855044263,1.4066230118050878,1.392089165379176,1.8342195832529122,1.0295616379328907,1.0778001021042476,0.9284080190540412,1.0581822615870948,1.2051634619038016,1.0280083236103872,1.083445909694507,1.0790304957062669,1.153175630838241,0.9976698287908655,0.9291011750663926,1.1400674911465563,1.0443961642972395,1.2034884414103177,1.0713662250740814,1.2546171341511405,1.512232533052293,1.2793574291845475,1.306913744138758,1.051461379272401,1.4645244791327592,0.9752425697007211,1.02118657053133,0.972307021769567,0.9527442758308527,0.9860981625473285,1.0373342691091658,1.4993341563913343,1.2455592791129297,1.111452296744278,1.03751541123347,0.9537122122812713,1.0747798815329712,0.959411342938146,1.0174998166943083,0.984107256357362,1.1798901896381757,1.0622812986766241,1.0210702806338638,0.9924040467964154,1.0887107527094255,1.0068214649569505,0.9913389432918579,1.00302814341057,1.1976781761965651,1.0615308722753518,1.1603794658442548,1.103140370017228,1.273674683227911,1.3496129015555376,1.3613733970264912,1.6499198351182436,1.5612046433197317,1.6306620697343335,1.667600434683668,1.4946173901340989,1.335673536221704,1.1927890592156487,1.172444178874188,1.0573545120869527,1.066222166380353,1.0104030248690885,1.086399956775015,1.1005187040363,1.0094595472111065,1.0218691326099516,0.9912154885031594,1.0622826989956562,1.0994563131501078,1.1281034764265307,1.2153814513991748,1.351358429644277,1.4371498102650182,1.4939975861396058,1.4411567882587726,1.5502392087440002,1.604074562211862,1.531709882013002,1.493987087254195,1.4342854777629386,1.4036479705808627,1.5559954139606642,1.4239467766213416,1.322046674807509,1.225130124843475,1.3260243504848783,1.29845726266298,1.179691454313857,1.0991788894750147,0.9905907994676835,0.9984937117945548,1.0493357658490763,1.0561370038121107,1.1350719689519544,1.1159297189023443,1.2322065835707883,1.1948227561158458,1.5234728797991008,1.8128542692303034,1.3997845396654824,1.215127184373194,1.0689529085863454,1.1767119935583579,1.0845383685694094,1.2404972447594285,1.2108533913269892,1.0970331177537385,1.1873398955027357,1.1398673946479456,1.272222329801836,1.3367919282909826,1.3719275316387414,1.4962281883116395,1.5952640312983797,1.488015871675847,1.4059980790915234,1.3544497110029023,1.2777311446426165,1.2423037763997566,1.1633756750411623,1.2174998584592953,1.0901347920306403,1.301502570160635,1.152883328222178,1.2866693540513048,1.2086419276833476,1.3194268504697815,1.3858153532315056,1.3837181032957628,1.276101898123345,1.1369654601900978,1.0259982695533665,1.3075660823634296,1.675390382094162,1.3788162277803826,1.5032561202022832,1.4840967803305822,1.603420125107289,1.6321131099926858,1.6094401601439252,1.645045932220829,1.6522123554054382,1.7189694774151938,1.7876494756275618,1.6870841429955623,1.8169743382234531,1.7451483500658656,1.679806041245151,1.8358191240140145,1.910023198966866,1.8060805847933887,1.8317056423152966,2.0054444949925245,1.9936782701654985,1.8946222449365524,2.039243032568577,2.118489008803419,1.9830118619309778,2.0470896823606104,2.2587405918301364,2.2291730774918808,2.394215141494191,2.2690857213895788,2.2482462206835914,2.330975591424483,2.3837998328074836,2.8158008082933708,2.510317377403108,2.60381400980231,2.232793178365354,2.163320629728393,2.1160778445536375,2.157270448702562,2.157442740128367,2.1019060038869366,2.197703262919149,2.111419712352992,2.264926264855869,2.111401206907827,2.051256296217849,2.1453358745355477,2.02577893494011,1.7441978938685476,1.8412273115974649,1.7474512094104457,1.8762565370317423,1.9613994080392738,1.918069013692528,2.1461137684444247,1.901236082038247,1.9418372630039469,2.019428278728899,2.041639164154309,1.8842981447532827,1.9549292844992356,2.082419816418699,2.0438652231730177,1.9786070197792995,2.162071161545721,2.255399249262007,2.169356017436143,2.1685297379886443,2.251452379685536,2.2257031775899203,2.2205691329010206,2.117260602285605,2.182778849200975,2.281450817057114,2.132618512618613,2.1375413057849024,2.256497122048204,2.2336619833717046,2.0769043017420437,2.2200303062481703,2.305443881982604,2.2036253582832717,2.1151519116905,2.2256345683560856,2.3373267237806408,2.2052974166227943,2.1683651473449657,2.312387707823348,2.4038602195406544,2.5012096524096536,2.2896642253325794,2.0919810012765705,1.9388360375034004,2.1527857491613918,2.127587576584191,2.1869451672705593,2.1136025757380774,1.897632875265395,1.7802074094961582,1.722995863894595,1.5887881673128623,1.6105668642670417,1.6382006745657633,1.7085786296381484,1.7766098080482378,1.571507640255238,1.695538992613166,1.6297794049305876,1.5208434183453043,1.5543895909719336,1.7124543707969326,1.5765589302025869,1.5434216257593782,2.800513297749027,3.761879831131122],[2.0946734258792827,2.10374088286666,2.203996909355679,1.9967675554616078,2.097534653352398,2.1116793202080952,2.038691870508675,2.084782905501129,1.9385973683920399,1.8634419004057965,1.7937911207021184,1.9092009559426735,1.8543173075589257,1.7209158653162284,1.681461697392459,1.7439397480803625,1.7203950312587042,1.6882157860775096,1.633938070147635,1.7027289091869322,1.613491057928262,1.6180358513021682,1.687862893699764,1.712420664160168,1.7862828237495973,1.6772127937891774,1.7673506495002589,1.7812615120755058,1.7723804511815795,1.837539052614223,1.7139237336101194,1.874579337877224,1.854775055557349,1.7573731114860573,1.8047018197277358,1.7683871781560125,1.9204623551514675,1.810148036927365,1.8403513475930338,1.877071270116715,1.755250056683597,1.688999474128308,1.6557404777566624,1.7413264037152714,1.99610192734943,2.286554114949454,2.226313202938182,2.022089998895297,2.281750978085421,2.4027120450476898,1.9519010729766433,2.347498273986225,2.114321967855152,2.1917345867637175,2.3858387996445307,1.7214223615873758,1.7577038558747478,1.6392950428792832,1.653077972690933,1.7412298243594717,1.6605510273665995,1.7209895129954509,1.7620932072882969,1.6384569437570669,1.6376495871273709,1.692426894295513,1.637636325890366,1.608372278179694,1.5715898898734855,1.55146717241223,1.567845176405333,1.7025258458881982,1.5185665403858897,1.5389074508495848,1.5948139856973271,1.7267465559494715,1.6364665798135247,1.6838373546659882,1.7502668874361391,1.7561882215942524,1.7884424759979696,1.8207519388758755,2.318479866795286,2.1370806887244744,1.9717879592243208,1.8867385459569332,1.7970596194724824,1.9555284929913697,1.7904425813630842,1.7719159633246457,1.6543351898044716,1.569783636523035,1.6420533712996748,1.6785777164975006,1.7128184530829165,1.6834630776471293,1.6837060375890234,1.831539139261567,1.9220360899728108,2.1563821804019834,1.9938828127845676,2.1062389299233444,2.052254477889353,2.1416157624877936,2.1572720184880714,2.162697829381754,2.3440503639117147,2.2374634237127666,2.2827723042581263,2.4453365659245465,2.252641062823271,2.1441038303983255,2.0380559983061213,1.9814354724980576,1.9040143673002816,1.8265219323448731,1.7938704662731442,1.8018288323657299,1.7441983262312155,1.7299033551919936,1.7123533254670584,1.7455445596467543,1.7737565526679013,1.856248040843019,1.9122349374330925,1.9398988665726395,2.104399600444388,2.159693750119081,2.1691981964301523,2.1709275356818027,2.150881437862177,2.205924395516446,2.1634783413385934,2.1719759948259916,2.1024027664149725,2.089708253079379,2.0649155106172623,2.064666330364166,1.9838099991654636,1.9408429316581512,1.9912282275350974,1.9945220156115142,1.8923608837502897,1.8467934477136725,1.7644175663143253,1.826042896615182,1.8504704307873192,1.9477131627549817,2.003530058998731,1.9865759721375262,2.1285848191462984,2.138566096044904,2.3629273955050727,2.6025280932522317,2.316176641828596,2.1618691159314176,2.0185217475402237,2.0868397040593263,2.0142708458934395,2.0867860688347735,2.040634172401054,1.962961886719882,1.99450336139934,1.968349749743615,2.0305287320604206,2.0081444187550974,2.0120552693674933,2.0364754880111686,2.0811449112621476,2.033956895839741,2.0110898228160314,2.0383409469444738,2.041393896409205,2.0365957243681283,2.0152775163337955,2.0804556640289174,2.0047850842032573,2.1855359230319973,2.0365801853039898,2.1514857375794545,1.9683372224177025,2.1245472789038784,2.1346639854824603,2.1021306118412317,2.0111470864140677,1.8517578951477522,1.7271395523906703,1.9536190104039035,2.0845673030710823,2.028279018451259,2.077664655369155,2.102929023260273,2.192129595358817,2.2042220494112894,2.181419719075315,2.1614679280747047,2.1576547768511194,2.2018904384160467,2.227526165237794,2.204350651276709,2.241541099199232,2.2545636450385347,2.2073486583762505,2.2123587529742217,2.279145645651555,2.259699353419378,2.1721431100507873,2.264149523814824,2.343019411742842,2.252350222432193,2.2472174559332267,2.2922433802306665,2.3002562327957414,2.286473058093563,2.281521317406412,2.2533762418900767,2.391926072386029,2.1966979590416558,2.282576610205393,2.3411689464112677,2.3621739468860263,2.7300448934144548,2.5191309862639697,2.669118472491436,2.4006600294340723,2.425809282019659,2.484100669110233,2.484621412310803,2.3825797459374463,2.353849591803793,2.5128410670084382,2.346185360589421,2.447783742690959,2.4154453773799043,2.389522894557707,2.346138238639205,2.2404755890996237,2.085442117626392,2.204892874393104,2.2454122739699396,2.339041575793185,2.3965215314402832,2.4411426830355194,2.6417594073238697,2.498298479503596,2.49308972616174,2.505045256939126,2.625565109503275,2.52133503867998,2.4570649572704557,2.5983545595724427,2.615142259779037,2.4621722761207523,2.5555313136661635,2.68834625303303,2.631485790754649,2.463981368615477,2.4852899884533817,2.430415945952693,2.4743811923027312,2.4605041073499985,2.448681748756333,2.431722469059353,2.363880719566567,2.386924712895379,2.3687092923691933,2.3350602690884217,2.274928867299291,2.3400327966290666,2.3141395703822565,2.291132469700116,2.267202971688696,2.2498274487063283,2.3160444797792934,2.228307823658809,2.2219647718377558,2.258077010088819,2.374548111704516,2.427825525979809,2.30164341190674,2.2185168936055235,2.173689901698722,2.2931684504715943,2.3018840755486676,2.309417838514367,2.3393665725865924,2.1628194028023806,2.20034440697679,2.2109246659498716,2.160683169481951,2.1168792497083855,2.2878474923623875,2.34756433944175,2.4260749692464088,2.2811283525343584,2.2938695325193246,2.3547002422587195,2.3630882536844178,2.2045503455306594,2.300195238907012,2.264968490132714,2.148449107084812,3.108869488218597,3.9599391323529733],[1.6278867006562765,1.6773109671070034,1.8250165718816618,1.7099901263753978,1.779031437907738,1.666082272387983,1.6590872907592356,1.61034213887117,1.5842070055106285,1.6447229649057624,1.6165476208760414,1.5651437193549567,1.6130159976418126,1.6369238686241387,1.5674281548357891,1.5632173647817265,1.6190538183280023,1.6192315019936392,1.6598942586392293,1.6287296264389772,1.6498624932661508,1.6403505478574347,1.7143900349527275,1.7441756445027539,1.6700305981978958,1.6609932827808673,1.6549255230700304,1.6709787816394832,1.6439584431027185,1.6361148648723833,1.569640042930603,1.5963357227137605,1.5668183026393612,1.5314936850004544,1.5631402937763377,1.6002689211351677,1.6355070960773803,1.622385926035483,1.6598254375851311,1.6251876995220087,1.546759019851539,1.5639345478023838,1.5184458329072255,1.5620305279864097,1.9795354822344389,2.1468084303220887,2.1796705205772877,1.850179014631355,1.897347825150581,1.9881224700078508,1.6736795574364125,1.8991254982964998,1.9939915572539781,1.9555252053375451,2.1673856628341164,1.5968790045747407,1.6820572519778698,1.4207526296964077,1.5170316555972883,1.7509747421183326,1.6032647977875027,1.6030749824412007,1.6384895208613852,1.6100493939991483,1.5586268011683595,1.554263009486664,1.7158478276328437,1.6273443134868502,1.750216728971065,1.5845250474643817,1.7467445094512717,1.9155859506831192,1.6709240264753324,1.7682393198470163,1.5756977140094828,1.7329305440576777,1.5558200821256611,1.5665412032429875,1.594218437206317,1.5595932319678716,1.5786295678781264,1.626937882373032,2.0556740094000014,1.7701502035607815,1.6240100058751725,1.6270274378510041,1.5839652392302763,1.6572297668377538,1.6005812251177043,1.5464293985025919,1.5267136289608148,1.540773577454084,1.5284117656798604,1.4829839572598098,1.5154844465552364,1.527139352422027,1.518821593295816,1.532224628791364,1.5695023887750341,1.7359479805087616,1.6079174538822865,1.6454230746702985,1.6313978985472488,1.7208009557210264,1.7311340080332518,1.7341176898434383,1.8430649781559232,1.7034823997099109,1.7381883516260592,1.82873186241246,1.7104646637225416,1.7069222570280487,1.6377458146365627,1.6888778689596942,1.7012107715780291,1.7284878016081688,1.7064127369869633,1.8216668634769602,1.8469643406567824,1.7202836398527517,1.762653090983451,1.7313103863654513,1.7974210278293778,1.7489171563618588,1.7060505936531116,1.684182143309341,1.6583713397231041,1.7255539223652985,1.6957207268901753,1.7125195996378864,1.6851532590799405,1.7141583603481283,1.702711978338678,1.7587867900398222,1.6801181097406965,1.6910847876660355,1.6762513540453028,1.7845674451793896,1.8157693852193244,1.7964617302122123,1.9612802698859437,2.032438415321155,1.9104704723280004,1.7781821049119686,1.688793112265115,1.6485943732179729,1.6890656590944146,1.6722691872672897,1.6676090799001835,1.6347968824748382,1.6453506841969798,1.677877206115195,1.9468972261776516,2.2908168342151822,1.9266599565520586,1.7192240937696601,1.6067375331319695,1.6556662699800038,1.6418108125200332,1.7097913265720386,1.7000216377680295,1.6971729985104564,1.7791155725407368,1.7273175921609638,1.730447332852843,1.7951679133308867,1.6900553578255626,1.754370025364924,1.7444516368584015,1.7358072226333332,1.6727773669592492,1.7621439080808023,1.6970535322660283,1.7361520185656019,1.6951886319597191,1.7085611522985715,1.6497212889960173,1.7863976103082622,1.703830524937519,1.7475207786144469,1.7143018831093935,1.7260938206292122,1.7281144701600022,1.7032795975987727,1.651522987290713,1.5915570937814665,1.4840831001651582,1.7905374802043472,1.9434053439172652,1.71361737385265,1.8227537407153103,1.9004872797139885,1.7957240619446178,1.7706943326026,1.711052735464605,1.6873217344141083,1.6984165708781653,1.7087415625662887,1.7168196099163813,1.6896792686246072,1.7090253778451363,1.7107685493058709,1.69522092064671,1.6928457975131301,1.7371744017701871,1.7214067688713657,1.6875492563800818,1.7449907734983061,1.7832400319993191,1.7252402895817014,1.7585950212173211,1.7942047080647465,1.7781202004812293,1.800619749907799,1.834379830175593,1.7962361373075582,1.9413176171029145,1.7839955586039749,1.820402478910636,1.8604234171602687,1.869805277623004,2.2507141515511435,2.1532969393128822,2.4179167567762514,1.88161471208323,1.8576151815189899,1.8869003809619698,1.8957356545701003,1.8016707642604877,1.8216863596801662,2.011706817062911,1.8479012821124965,1.999761095591337,1.928439494140417,1.8681004147290325,1.8103424565550112,1.6939470354393624,1.7025643297202995,1.716878318732771,1.7271173929668318,1.7875309502667287,1.8576789745803628,1.8847071261498811,2.1067488414910263,1.889235058697718,1.8980593074059773,1.9194643886076355,2.0154115275921454,1.8855732700620278,1.8471979385011532,1.996211304569623,2.0099882279253203,1.8588387924252474,1.9756345396509944,2.118103644546265,2.0394165771261834,1.9125164815825897,1.9657603769228538,1.9120242054599594,1.9323291918008672,1.902269593160775,1.888313356131659,1.8961179788356486,1.8230933202097133,1.8422879849594527,1.8443459670932467,1.8232003137306083,1.7606250340478204,1.8232087607525114,1.8244577865388465,1.7919179160001768,1.718450381304484,1.7403394848838625,1.813614700541534,1.7856598339384517,1.8108722500414085,1.871119664403313,2.0041483417555606,2.1761535548066693,1.9026476983397278,1.777685275349139,1.7186761557219243,1.8934025545531308,1.8761275892398086,1.9053114616360876,1.948083968270024,1.7063110289455123,1.7633756626163855,1.7034136767351578,1.6968555543365167,1.7061479787522673,1.7313627054448766,1.7243742246675837,1.9054478989048693,1.710899782086868,1.6909520897434147,1.6828427327371116,1.6919484284623278,1.6513288826805628,1.6955707074424908,1.6738333447071256,1.6771037448851296,2.564854632446123,3.3498261866196555],[0.921076956563728,0.8753347207888957,1.0084686469510624,0.7122137976610273,0.8022920613130988,0.8908984434878531,0.7947294583569071,0.956875821020428,0.8454317143854893,0.7768865777268122,0.8333896721346439,0.9866148493450856,0.8366509884275456,0.7252992527995146,0.8195108538974197,0.8229576469215028,0.7322703053241706,0.7648461047907203,0.7263614638821101,0.7411143822576496,0.70095187430006,0.6906808916799533,0.8149256956242217,0.9305641619080047,0.7483966735066053,0.6733274359916472,0.7019734204005907,0.6661432482560461,0.7613054844005442,0.8632532199749844,0.8935374004465024,0.9729480533949117,1.0688400408076049,0.9646711718409379,0.9325575679785557,0.8419066873129306,0.9355447953048256,0.7774115545324125,0.7398369490579845,0.7346807646604634,0.8671391120721951,0.7518652524800225,0.7138937146014157,0.8408392464531562,1.2052812648089595,1.7205736829066307,1.5745756960586088,1.2198481583884935,2.164409953168286,2.2399505010560166,1.227306192183527,1.5930118053379663,1.161459388188523,1.0829401108187653,1.640668873902149,0.8030947619763776,0.9164588039376789,0.7239212804054449,0.8352166458137799,1.1104009891368016,0.805636113338991,0.8720612793870767,0.9204805957228427,0.9417022411247624,0.7815670441098551,0.7762858997019224,0.9278848456786701,0.8279693037937541,0.9079517584973817,0.8417640806521126,0.9868508080226261,1.2660740543627742,0.9973545902063592,1.0874067945434565,0.8557124062477814,1.2277693426715528,0.7927297770362249,0.9176857772928562,0.8725726712695597,0.8238291116359555,0.8691469656009492,0.8254885015185723,1.412548409263174,1.0208754021435067,0.8228501482510533,0.8193676636567078,0.7627791061112295,1.0046842235980282,0.8517109468201959,0.9606060767654592,0.8565613576104092,0.9936081634969106,0.9699192427138397,0.9560002774469243,0.928614474295895,1.008774038707404,0.9357504911356609,1.018238953003374,1.0568349201136618,1.3499904405466996,1.0967626326777489,1.1519102646956567,1.0536578144255326,1.123401840911686,1.0635060465618018,1.0450886226349207,1.2779375871092984,1.009725521605257,1.0464795419501887,1.207356316162298,1.012426115407533,0.9010155582675093,0.8167208744796624,0.7437629625795124,0.7579489159382281,0.6233388621965912,0.6562212502929795,0.6714968507584985,0.7563192287257685,0.7215999579036793,0.6781214791458663,0.6483884384030146,0.5910544673013098,0.6059395477629581,0.6619676008420411,0.6863377456800343,0.8103661052362101,0.8332296745363488,0.8646170228751254,0.9064388526640371,0.831429197746448,0.9339128418598778,0.8354237351451038,0.9454237768870021,0.7867795256347999,0.802628388613141,0.8426963187294787,0.7042435169177862,0.6761655852680796,0.6818081434166701,0.7841369651957335,0.8495017496182273,0.7678498180845279,0.6580306358073668,0.6263054331831152,0.7046730937664274,0.6771006235510233,0.810879628301904,0.8456258948296846,0.8743256230909223,1.0290620320870278,1.1461539955022901,1.5520172788025908,2.007998317864258,1.5719034087642785,1.2739415422533193,1.0473942887840533,1.072209187772188,0.9682420265589283,0.9925776962621187,0.8368331299778973,0.826359298794144,0.7542803272270703,0.7627033721086068,0.7459868907110627,0.6780838004441416,0.6695798465988377,0.7382724550478243,0.7965790785878284,0.7302172825422638,0.6700583950266812,0.7148702634573341,0.7580632597728318,0.824081033154338,0.8474360767429745,0.9822597583887093,0.9353160303554373,1.1974385073256217,0.932601900659547,1.0175672251396688,0.8651747227684542,0.9267171666583583,0.8899275524616241,0.834383178379893,0.7570665609432271,0.7312554247871514,0.6867012598635114,0.8181148093479469,1.6441544627471858,0.9290975538991889,1.0489035138884162,0.9913060275386131,0.9323635772983547,0.9269189173480713,0.8484065453497677,0.8124627301742484,0.8122754583353544,0.8889167805297249,0.9217378232686178,0.994312640143916,1.0380274580410578,1.0844576050781738,1.003278959789011,0.9920379487889577,1.1158495913620423,1.0957169219068108,0.9981102884064397,1.092592773469643,1.2256118967820169,1.0883781615973587,1.1050316386486778,1.2131201087404322,1.2209716422715085,1.1269648119088858,1.2138301632646076,1.1881261817203475,1.3269657699032404,1.2189877528851336,1.1954731114074055,1.2770826533424167,1.315277710088397,1.8755461888081857,1.6624269160764402,2.072174741709113,1.349737937891171,1.3710164480656768,1.3941076888706732,1.339729539368841,1.3098828511838045,1.1747218815735279,1.3664609430684287,1.1602498180151404,1.2882285249475522,1.1629010922370315,1.1566065830304018,1.189221233998217,1.1374577672259059,1.2224973484079513,1.037445197723943,1.0656632995831405,1.1189651775299834,1.2385663065256183,1.3200083488140342,1.6397950854330539,1.405221486435273,1.348187046425164,1.4410087388175452,1.586656032598844,1.3995898983458965,1.3454485765653803,1.5726283646351165,1.6206967303422437,1.385232369649705,1.5305094433287143,1.7350126809975637,1.6399145710113558,1.448272068890384,1.5253493153124178,1.4232757094154935,1.4429277619826892,1.3836527997883399,1.3673898032358693,1.3716145676687228,1.2409275847666161,1.2367473486721068,1.235916121451777,1.2015806088797993,1.0962764867308892,1.1593292071757908,1.2565894125042831,1.1538237261108863,1.0896291563609886,1.1264345245326441,1.3876807839893612,1.2532992884359473,1.2577027134558,1.3545834398576015,1.471829269408634,1.6595032922688733,1.3181301498425644,1.1516025476670344,1.0130496746969364,1.3092339663831767,1.291827370995878,1.3495536059094027,1.369278618583538,1.0691702864320465,0.9553304045756149,0.8961115815641749,0.8443791587981642,0.9339713467996221,1.1032481713760591,1.1957633748662304,1.4547188159309097,1.0894639086387756,1.09473466445391,1.2236359903782839,1.2126534075814666,1.0253647515898514,1.157094155319945,1.331768074768018,1.4774617842699418,2.446885195868881,3.276813571979694],[0.9875562971324413,1.002019830214996,1.1029241394305211,1.0790730590917705,1.0833809735770161,1.0012902221634967,1.041166107350713,1.0839219060807255,1.0895599180950868,1.1431901855113331,1.1911132232515333,1.1803916606063105,1.1632618227073834,1.2347367354175283,1.2813714150253577,1.2253979834442432,1.2715153176755214,1.330732943836586,1.4317613756298078,1.3636772819108371,1.4513001422584884,1.4231019091061754,1.5582691039087566,1.6360730448042466,1.3713916508140538,1.4063199748399842,1.3314067734501172,1.2692473183057265,1.269667483518795,1.221638336432011,1.3138996291522793,1.212856049385742,1.2812278519029097,1.2933342932949665,1.2467423921013316,1.27817289425158,1.2021563697681226,1.258909696338636,1.2514540622900328,1.2211774205489223,1.4967105729094767,1.4104513185056748,1.433338994088647,1.4298976770959506,1.857059006570086,2.2033501929592587,2.063540295104425,1.7309049167484951,2.5830687216532597,2.543963940256688,1.6034452634237624,1.9337457835540992,1.522753728505725,1.4197098762896034,2.011332957374523,1.41628592058188,1.451045859111424,1.4222506613722703,1.4927332028085483,1.6602101808704375,1.454366196034254,1.4262792170330585,1.4058101745009215,1.6536880317608702,1.4831721428811313,1.3604169220411957,1.5880272330000598,1.457935225714789,1.7035088783312962,1.5349704251577658,1.6534172282552162,1.8858778330792596,1.6744612397672334,1.7992265377931973,1.4940702781035264,1.8691059547989175,1.4003898258567697,1.3869200170990708,1.3124743533931496,1.3199805669296116,1.3090319008285214,1.2938646521649433,1.471821398475826,1.1065382378013708,1.2025708529069967,1.1979385752115381,1.2562203909336784,1.2071202397640948,1.2865196155018068,1.3335589195235344,1.3577046004450555,1.54943686052031,1.416424758144185,1.318876482203432,1.29103230814631,1.3393427180225803,1.3058560302681712,1.2174800533299346,1.1579644356745622,1.2540847109944755,1.156846987334048,1.1201971772486325,1.1117854279702624,1.133277178371448,1.1018402156825597,1.0888890679975813,1.2149777426944004,1.0128857788382133,1.0168572178655022,1.0497385832006436,1.0193247081800643,1.0480540118378436,1.0614456433357518,1.1102740654210608,1.1573584496033738,1.2066804175008075,1.2841412979729732,1.3066566608510566,1.444219874244249,1.3607605565597065,1.3353909611835326,1.2905112437481616,1.2565596893017446,1.1641588743870632,1.117320461864816,1.129104636385413,1.0840806157172167,1.0534383742632296,1.0292858662338393,1.0200203510082408,1.0298561093910314,1.0587491573114696,1.011733118064825,1.0632264318291758,0.9933793819895143,0.9939361523639924,1.1393947252723495,1.0479569050673176,1.1257150188625054,1.1756906043375945,1.3199062259232537,1.4182325320486213,1.3506783589416398,1.2450300272135923,1.2569436503910596,1.2225498784173139,1.1919117467913796,1.146128520027748,1.0926147886987276,1.0981978474781184,1.108033003736139,1.1410256152715876,1.4188524366267012,1.9875816301498124,1.4330292075095872,1.1671218736922477,1.1030105396871597,1.1180566159088579,1.112624341373723,1.1402606175002503,1.0914076661504175,1.1537251919152387,1.157384930576574,1.1729389708090052,1.1045680596083687,1.123468614084827,1.0823458456876607,1.1319018048548293,1.089606634088705,1.0939600449441689,1.0428839094806144,1.0613528266515972,1.0686706393112306,1.1159627556865137,1.1139646350548498,1.1094556572060679,1.1311383193961841,1.2227037305995536,1.147359055304869,1.1118525705731364,1.2182044448828515,1.0659248110820245,1.052623792909787,1.0589639769269605,1.0970344737875175,1.2750944453228437,1.3652911477296052,1.441700343585369,2.099251555071994,1.2555241549796499,1.626526451163649,1.2073079050430024,1.1212617255310253,1.111314155323611,1.0506017270609878,1.0790886602282697,1.071739163646589,1.0464723098701587,1.0721959815990796,1.100329303997065,1.0429695096168288,1.0125389328085785,1.0290559914578783,1.0590960200656472,1.0533783022487904,1.0385340213484484,1.118703489584802,1.100798821629238,1.0986958798470277,1.063770869752038,1.1291333297694914,1.1716346383625542,1.14391304993845,1.1468130787645998,1.2444851604993603,1.2676439140566818,1.36327597027877,1.3225201373011835,1.2394326075578532,1.2884855612291275,1.3244906586947114,1.8934649410620201,1.6271584539796191,1.9981698450063359,1.265319360645122,1.2594702745901867,1.2486081362735117,1.2138450742363047,1.2284923297029657,1.0856830310072325,1.2307258228301796,1.1120296443932725,1.2882344185741874,1.1725366518944123,1.2491471831794738,1.3876789403995802,1.3453394011934465,1.5165379131147807,1.1807488315180714,1.0616919544994725,1.0188527452939105,1.0789192779862296,1.078917786889965,1.3722428207334272,1.1187319265219282,1.1207206316149874,1.2006854023542175,1.29584991816343,1.1356233857816398,1.1361801278561032,1.292645091079905,1.3280365138620034,1.1680844496179386,1.2912105148572237,1.453964793035929,1.3740121330420656,1.2698179345400729,1.332666141971385,1.2800689584012368,1.260105977378504,1.1878077359472177,1.2019977446996883,1.25879455320992,1.152149291422761,1.1150486662115768,1.1698752040024698,1.1768906451712253,1.0989408114397312,1.1425859587882126,1.296791974785611,1.2644522575450534,1.2396942966748479,1.2279736413111666,1.5436106183714158,1.451555346881113,1.4627139422790285,1.5608189612845162,1.6780775491028759,1.7607807539223945,1.5020904020010786,1.3058493558667856,1.1882098704109825,1.5094189412449905,1.5177689399957113,1.5924017774114834,1.6231350280885357,1.2932055523819592,1.171166166876694,1.0547172715642923,1.0668132775328893,1.0678086416828076,1.0110037622954982,1.0496468010039826,1.321560203014997,1.0029608772785539,0.9760610239433888,1.0430739798643927,1.0857162700672167,1.003786550039694,0.9943540595534267,1.1675927141129268,1.4965679522163757,2.439943148935603,3.3422861180326198],[0.8909701512686843,0.8607996677800341,1.000386766185667,0.7424646475937853,0.8016049355546027,0.7425608888094881,0.6559409260660044,0.7083847765975033,0.6164331525227413,0.6114588346458018,0.6322985849648186,0.6862469674738996,0.6231180712930389,0.6313905496935477,0.6748556023600475,0.6441992000533837,0.6630227443118671,0.7023786065299742,0.8026945877893789,0.7366055564490236,0.8127976646675041,0.7794680877019283,0.9635669266179393,1.1137019681594225,0.7819155960295434,0.7949652905395301,0.7484702445189725,0.6736237438411926,0.675409045219264,0.671368387151459,0.7083829289131505,0.7153683627572512,0.7898663845586883,0.7219165568003332,0.6811135693619088,0.6745533702848754,0.7004483844948787,0.6524256674799492,0.6518270798274828,0.6394825596254788,0.8684447538913247,0.7703588885143747,0.7573695409078425,0.8229711556779191,1.3313793166811057,1.7563456510619202,1.59858114101079,1.2136311787116407,2.1379250556440574,2.0849287235579754,1.1551847610094872,1.50775032707269,1.0854023194603188,1.0352023851098662,1.6592629651869373,0.7987772985315945,0.8932671882733224,0.7503715038837115,0.868765011016999,1.1167780005700942,0.8516287871905089,0.8764427490935612,0.8781215191063864,1.1232428898517772,0.856241153887986,0.7487924687817448,1.0046393182312432,0.8114785391249981,1.0914554197017208,0.8814767634287187,1.0738817483215168,1.3456801657302064,1.0733141392510248,1.1912945895113651,0.8741050744974205,1.3315435007822949,0.7634529566189437,0.7634121638890082,0.7133942880879041,0.6804717491579545,0.696455007243488,0.7230654633929288,1.214749146270436,0.8193599090222876,0.6685045636199791,0.6418443234645739,0.6368529851292778,0.774162725856572,0.678387896921767,0.7410699696443369,0.7147748154960353,0.9170187159616161,0.8023346193647443,0.7473606851133227,0.7049003217385761,0.7763323067593121,0.7576266285139444,0.7151042869303541,0.7377144669887289,1.034654949590094,0.7943743222983944,0.8702882208018736,0.7798654797065926,0.8562451512744829,0.8293069375247869,0.8215921069045888,1.1158584435050074,0.845692204895965,0.9109139062959458,1.00440506817018,0.8145072974370309,0.7192405845492981,0.6445084029461864,0.6522339964909392,0.6748546369063023,0.6811266051136569,0.7053873282615754,0.7746652691531484,0.8987460468306029,0.7660226877765587,0.7586684308674022,0.7040750509332933,0.733705670583363,0.6608996641150773,0.6500082726727724,0.6759693013057729,0.7037988022224249,0.7166970604679918,0.7399122273526719,0.7476842274550244,0.7369479296338192,0.8112168659263258,0.7151826281495556,0.8157024681691349,0.6682597066883101,0.6677491119956234,0.8318005795549748,0.6920032802791622,0.7215409334428771,0.7140462889181791,0.9045499248606677,0.9636817175551617,0.8524543751726616,0.7090701668851596,0.6758194204563813,0.6535800202876726,0.6463881110769988,0.6573838490455177,0.6632619186612039,0.6763251383011826,0.777506020005134,0.8616462567562431,1.2884553270635484,1.7479793771299323,1.2182024165971723,0.9560900742796954,0.7640729646550238,0.8075597520722804,0.7156452189307351,0.788337651200463,0.6841815374078126,0.6633738241314442,0.685515664580197,0.6580677893317781,0.6744608492456855,0.7008745835352722,0.654897378662034,0.7568868333134197,0.7749101122544558,0.7310468481081436,0.6510430883501283,0.6764496910443014,0.6551051478478273,0.6835313697101892,0.67168030250099,0.7423969284020803,0.6944525276729099,0.9255255334513619,0.7276530910615943,0.7898788729129855,0.7274856613056762,0.7371567785780052,0.7350944341626972,0.6918880165512721,0.6631020224314806,0.7107269935291403,0.6989367885289034,0.8868401382266201,1.6048314601754072,0.8324454969396103,1.1673991566981092,0.8987223661885729,0.8230733991493965,0.8224532586605936,0.7588208014516614,0.7870350256224095,0.7891034858663178,0.8426174385676127,0.8826949944436372,0.8909638441802068,0.957356257994284,0.9783780870032374,0.8948888750257071,0.9433142678611385,1.0617750719271795,1.0168860534057376,0.965282317675246,1.0841903836501472,1.1883320112561362,1.0525738506807902,1.1389778827108221,1.2362727518338894,1.1856387398083823,1.1693034945446859,1.3018289289124345,1.2670952923156666,1.4320258371887646,1.324620243307165,1.2640945771146517,1.3738273613398118,1.405505453253801,2.0080696303263816,1.711395130218376,2.0723769537211623,1.3750008469739163,1.3688450153309772,1.352106816442827,1.3284564868683848,1.2972458107754001,1.165688473534263,1.362090532492901,1.1594416802409455,1.3073945731928178,1.162517456090673,1.149737491582085,1.166106643049533,1.1128966808994833,1.1367562715824928,0.9777264004146775,0.9608531019052101,1.0365038729758629,1.1778038904228396,1.2510995959659348,1.5593863963068648,1.3408791704113856,1.2646400386332408,1.3881109267528882,1.5163910010231176,1.3068091724556183,1.2710231488117911,1.5035708741666647,1.5231326502431577,1.2971364430896177,1.4874492460069095,1.6873689076143117,1.5411278991801145,1.4377346891860936,1.5504640084513832,1.4384479939226709,1.455001041055663,1.3596367488723087,1.3689555897773755,1.4149297656492728,1.248530529331866,1.2360315392094128,1.2852896293681628,1.2556629347628334,1.1117632162656421,1.212274381581832,1.3118365938229064,1.2109694075010435,1.1161635007646253,1.2018582991667153,1.431643735237971,1.3170756733337086,1.3202539211948232,1.451398844239618,1.5651210592169942,1.801624490635062,1.407218872208172,1.2111764414058999,1.0553017005881027,1.3558089297390519,1.321531171830871,1.3911081779709027,1.4038289572157572,1.060701648530833,0.9269406947907604,0.8439021512088806,0.7895261035714249,0.8483773870348444,0.9326763845450623,1.0534829315873395,1.2712848820687594,0.8964896940569435,0.9649360185765946,1.0500646046716526,1.0086055597066421,0.894813568726786,1.0271445543058746,1.1657541766959916,1.406296505866206,2.617404866206421,3.507074193131943],[0.679896894768048,0.6503980109679274,0.791715159220195,0.612666268428279,0.638016009706449,0.6507919029838395,0.5556449778592525,0.6766080747071487,0.5560628930836394,0.5091702078168282,0.5467781105852506,0.649628752690299,0.5455318599073363,0.5240145284301437,0.630392652320687,0.6074762279515469,0.5589191309075928,0.6238471767617213,0.6722361805734106,0.6249141490392857,0.6743370962076458,0.6741432548350075,0.7784437778296097,0.9722780669792397,0.7296643655827814,0.6995992280919449,0.6306753913930595,0.578750324617643,0.5860319325981388,0.6128957306372437,0.7044114817476232,0.694732540825031,0.7882588416347092,0.7205850837173915,0.6738624330427783,0.6479690539037857,0.6600806574090846,0.5639678436586325,0.5503180156375138,0.5617057557748345,0.9037321944677782,0.7107107862516717,0.7026058141847487,0.809394780150309,1.0905415657718178,1.630512518975134,1.3760086972010768,1.1405613264118564,2.3330204024490997,2.2994015110505983,1.2489706689576423,1.5881239004527812,0.9608604989725353,0.9049369534672225,1.60831370301957,0.7984667751834339,0.8831154023016041,0.7619131018643853,0.8691579934545992,1.1085255668081295,0.8223648628472773,0.8616208026418528,0.8570265523817661,1.082235537927994,0.7592846619775981,0.7372299173630738,0.8838848721092692,0.6999008230626194,0.9301909278849327,0.792896625334633,0.9671011117545344,1.246431349514356,1.0395097680944247,1.10017515215255,0.8080427152430086,1.2983296218186837,0.7022163288187422,0.7469237018093258,0.6737286799766057,0.6457357690428733,0.6673490577985524,0.678051490312802,1.162992683807522,0.8051508902379478,0.6338492756142874,0.5889215819700102,0.5937252043981466,0.7568023387615758,0.6372960833119168,0.74262321375498,0.6709575879252988,0.9326825041216418,0.7963316554454953,0.7585263133985487,0.7007871264685993,0.7824326788270729,0.7493764646758698,0.7233369873729093,0.7398147423664857,1.000470096085374,0.787648359619305,0.8169433133370014,0.7504620897491274,0.7925252177073123,0.7567048633206114,0.7414643022405092,1.0478402881335585,0.7663849777804363,0.8238293059114729,0.9347260460657058,0.7320490424918186,0.6148846883673696,0.5743414650171433,0.5712364740200179,0.5634328732080588,0.5837324348425433,0.6055473029794329,0.6133237388623,0.7175445502389423,0.652570629991184,0.6029656744921734,0.5599632708443818,0.5639159551713133,0.5301409502301435,0.5450646552553637,0.6009482005531422,0.6020673231054047,0.6062528142789951,0.6515424150557745,0.6535118697289906,0.6499453738481357,0.7219312738827166,0.6389747696802669,0.7146954008514126,0.6309264954181331,0.6426506574867373,0.8795488606375516,0.6107441741088468,0.6024129915713964,0.5702600424750967,0.7188633374632398,0.7196049818766277,0.6563797361228247,0.5728222088831482,0.5833253951865346,0.5720055249956918,0.5480170348756923,0.5530667378432761,0.5792666906998887,0.6117252389593985,0.7207791773196676,0.7868749630518571,1.196149802706255,1.6548243781922385,1.1250310744221779,0.9047868115476808,0.7367356953519696,0.7506833382460641,0.6720826759778427,0.715142023250468,0.5934089162018695,0.5688220242801133,0.550142878917429,0.5352213997961471,0.6215044497110844,0.59084524712427,0.6163198785465815,0.7160803201537511,0.7835242076229525,0.7242311592974752,0.6331978282694417,0.5823208862453079,0.608858282594674,0.5880638634927899,0.588640429485054,0.6672606281871775,0.6410204896153651,0.9024002525010711,0.6540015118859239,0.7271213561152753,0.6304458009683761,0.6347613825292978,0.645246427497905,0.630148969002699,0.6355086189233572,0.6893436937694711,0.7232263102077948,0.7457421818988126,1.7242562849566339,0.9200418257758423,1.0899100266390576,0.8468600265415414,0.8249123695693762,0.8111978801488969,0.7091527454685339,0.6944081315386906,0.6895583096655724,0.7248361026168392,0.7444817056985412,0.7828876244106172,0.7934940129970901,0.8231948069713361,0.747437576209865,0.7836375035860843,0.8571353027316084,0.8274441544488247,0.8395598353829427,0.8797240625485916,0.9578474830475113,0.8571265600858257,0.9279924809840733,0.9660217880143065,0.9239801403063939,0.9673239939211674,1.0641144410274102,1.0684854872571143,1.123987751530675,1.1345035342722753,1.0236758748774972,1.1008082168495632,1.1658494702441786,1.9507814760088604,1.402810825076655,1.8117230073078952,1.1101890564978834,1.1488527861449676,1.1817299113925943,1.1518510982076235,1.1171412846596753,0.9440217458043799,1.1680598475640762,0.9316627600599268,1.0745549711968205,0.9385366414823934,0.9918760270786726,1.027762304413774,1.0414837891972288,1.134169530775653,0.8411303951168689,0.8323293374279732,0.8754678228075247,0.9804105439118409,1.0752415988812691,1.3636157534194748,1.1951835343724373,1.1087525501150588,1.1927928023381413,1.3475549035658625,1.1601974445309815,1.0744490531187387,1.2890033025470184,1.322720368940173,1.068683859448865,1.2388949902663289,1.4407667977606617,1.2837091068689461,1.1425362946671742,1.228506460445859,1.141201583830325,1.17358099077354,1.1169320487613839,1.118916021682658,1.133077340461625,0.9973486792957729,0.9904613405817699,1.0147781702813432,0.99313836193354,0.8897360886477844,0.9587315562939741,1.0964283982737537,1.0216341428759426,0.9672117726416603,1.0327075760458522,1.3175218511959015,1.1711355186756713,1.1861983311952586,1.3344194665614937,1.4362410946860977,1.6146433768465374,1.2811977154040175,1.058509632726275,0.9488674546457512,1.3090905398331592,1.2687263872355596,1.3175778369778168,1.3351963931989017,0.9820160260955613,0.8173198869851287,0.7379570727999619,0.7011775545393611,0.7094621139132761,0.8113438496233307,0.9146740218625535,1.1687425550502424,0.7822917729413738,0.791166378767417,0.9046723028922953,0.974127541332412,0.7558250885922438,0.8231171551842742,0.9847419366646033,1.3395257934711553,2.727957385054463,3.68695478466145],[0.626388903528609,0.5884785577213302,0.7140559045500721,0.5402834360438028,0.594598286081564,0.5712933136282453,0.4758680891708317,0.5860006111592108,0.4885912602918605,0.46986584927360187,0.5142790551316115,0.6065362746352226,0.5135128878460791,0.5045010885508822,0.6233696997803972,0.5918728392288152,0.5601605121561474,0.6349032148876071,0.7056261760004976,0.6570553921505338,0.7319260831198242,0.7104167719850761,0.8689471462497131,1.051387185293057,0.7044779374198611,0.7041164216622392,0.641568244425219,0.5693894892927197,0.5852687211128438,0.5987251990834823,0.68121011000341,0.668095933636898,0.7873490517812839,0.7225229743155027,0.6503155587340114,0.6390718069490937,0.6363449047076274,0.5738604496290904,0.535573407633831,0.5448489007326865,0.8489108385136823,0.7121580626002988,0.7077749594106604,0.7622199618546074,1.222093458167174,1.6199122367726164,1.4309118861275623,1.124892647051395,2.1982911216488885,2.038010735246363,1.1320942816307207,1.4826050715517558,1.0585802382205654,1.0014090269132545,1.743371009462513,0.7937656809635607,0.8175320363032166,0.8103743261320056,0.9025088228305614,1.0678077510199733,0.794319073174132,0.8511570061964043,0.8480435459333793,1.1251181573720066,0.8141410608519583,0.7120099187851758,0.9585404127255512,0.7556473319907251,1.0189894050609183,0.8154868187210156,0.9946138468763077,1.3003919995887907,1.0262713305688755,1.1428058783324244,0.8242739542523889,1.3191843569276163,0.7330379035753234,0.7463924207295642,0.6876090743382289,0.6600469161617822,0.6734637383119415,0.6821950538875646,1.1585923429765648,0.7403801379864509,0.6242336811183692,0.5900814412345446,0.5889394339243114,0.7181904716760052,0.64842249293203,0.7392445554232413,0.7030362433066868,0.9037896978513406,0.7888767823689663,0.748775683948941,0.6964975090972705,0.7778509471631881,0.7248442399889324,0.6952055495013209,0.6898187048824306,0.9948656006863769,0.7295827849641116,0.7816233927349485,0.6808337315298605,0.7153578133833339,0.6895426818750492,0.643423922088032,0.9162197597644454,0.6569019423912658,0.7058347895745959,0.9079917892149072,0.6554453422022727,0.5513499159375995,0.4919517645893832,0.4961932997399311,0.5248235938794442,0.5229012454402666,0.5600025802438667,0.5897728930065703,0.757645681769438,0.6534952473567679,0.6123746048418727,0.5348290822725061,0.5604993237412834,0.48222700984948397,0.4773645184717737,0.5049617484547448,0.5987358685658781,0.5729106838625492,0.5881267562151432,0.5884382392154148,0.5842305048232145,0.6551302657367938,0.5660090124345454,0.6606575936918047,0.5409012382065292,0.5412728390317765,0.7521429826058658,0.5102479375680077,0.5269570726052937,0.5335773048763357,0.71102666098305,0.7500108789679562,0.6851046451853148,0.5307993969384639,0.5341731392759319,0.5337971521031257,0.5069089761837829,0.5277513077474764,0.5195021345909416,0.5228804956496587,0.6488292124406091,0.7126392278646748,1.186604865594244,1.8245422912246985,1.1839736404191514,0.8612384830806977,0.668143210200153,0.6898680175997314,0.6111140106722247,0.6627369342228269,0.5529099577415196,0.5303012131437214,0.5121894746434018,0.513720169591184,0.5494223048534442,0.5270490000415364,0.5439304819799967,0.6456760085058573,0.6913551864868337,0.6405121401788928,0.5348244737783967,0.5080391043951853,0.516272607075314,0.5218769081577384,0.5389158410592656,0.6112410634230805,0.5942530589794988,0.8495467392654865,0.6134089318647419,0.6810571970796242,0.5949340724190003,0.5812504358626193,0.5837733604336913,0.5530626052901016,0.5453928436605113,0.6317092429612678,0.679259562028755,0.7551526589972091,1.6285693547817455,0.8216745958304391,1.1865178135486594,0.7613546043387421,0.7432266926691585,0.7192809067136727,0.6294958007958021,0.6230849067116263,0.6319202054816778,0.6425408978140006,0.6730504948252154,0.6945912825555324,0.6893490633913976,0.7247436270585114,0.6525136384939436,0.6995454793683435,0.7709240121497993,0.748219881594343,0.7642327468879597,0.8008429133978183,0.8970476061433583,0.7850967906382973,0.8495751238400838,0.9167206609459259,0.8755470784133986,0.9040910901719404,1.0316489318265005,0.9902142364420032,1.1204039921626032,1.0125438988621742,0.9616482794999368,1.031908521887681,1.0838074659395496,1.9679782351242059,1.2460560140056847,1.7144982210225073,1.0481967935701122,1.0966611110521984,1.151095971755854,1.153734891675921,1.0241714094152559,0.858720786076697,1.1417464745498376,0.8391515571715127,0.949638893604569,0.8664893354588034,0.9869837212173315,0.9632592042864159,0.9729879905009831,1.1047339425494656,0.7680246679036052,0.730197161076702,0.8278702068286372,0.9294128877634246,1.0302377585917721,1.2791572426690212,1.1353859331866956,1.0755546673631937,1.1252423462196068,1.3126753253379717,1.1130006928768255,1.0147661559635321,1.2237021561409127,1.2597947749215028,1.0151268939408455,1.1692304627654364,1.37584921149411,1.2403145705510796,1.0975473962543505,1.1658218152534476,1.0978722745088525,1.11794941264225,1.048348704292363,1.0506773045924842,1.0707615139197186,0.9297823988133125,0.9153370999480733,0.9403782351968716,0.9267006024730322,0.8099953881827205,0.8686692023934184,1.0198287064018758,0.9411319749934206,0.8789525238275288,0.8869297455060746,1.2062693674277836,1.0629899303697723,1.0718692065324653,1.205431113364166,1.344099814525847,1.4566150545462646,1.166967698052521,0.9484495032290459,0.8464761512108426,1.20641435095817,1.1777664241589993,1.230392737152797,1.2835728297641986,0.9109005727955066,0.7609544184226604,0.6851590797226925,0.6515047224821514,0.6253416402029865,0.7073145933332369,0.812683032607414,1.078523921535879,0.6891463853427874,0.7154987619780875,0.8146962528703581,0.8909895876749311,0.6797721256937617,0.7286996786526247,0.8821097704472057,1.220979477374275,2.440453207632514,3.323645899228277],[0.650333757285678,0.6370826943243656,0.7696341207553323,0.692026259238112,0.7088273472122344,0.6547557892626708,0.6065875593569812,0.6527141043261809,0.615685919454445,0.6473521876263167,0.6753553549086929,0.6999809633458595,0.6692890395078525,0.7099324236532063,0.7944924213004546,0.7615525755211082,0.7751315005101328,0.8485044959883727,0.9427725586811525,0.8879931724204501,0.9827111901181087,0.9510144324210947,1.1073790713134228,1.2845425423625711,0.9254738731170642,0.9415677119777816,0.86986802052029,0.7978230329216358,0.7859081239821825,0.7589100011550614,0.8343416739510794,0.7837903721149203,0.8926672586869411,0.8572897877363661,0.7966410799754886,0.8086812864037414,0.7854031169545237,0.7794256798930738,0.7452996507705122,0.7371274562107146,1.0149711569942945,0.9200873782106047,0.911818426992347,0.9495215939841192,1.4177773903204791,1.7248374646736697,1.5612680502424834,1.2829714270229442,2.2530057160365806,2.0336783897538706,1.230299076947883,1.5080433918046872,1.1959534429176006,1.1007871316737181,1.8514189049287029,0.9693598971180345,0.9732435737112717,1.0196953637894899,1.0984660875901213,1.185293142721498,0.9814975242628317,1.0318068507845612,1.0073432660717865,1.3059641431435802,1.0400594956051532,0.9075126396961279,1.1788168793364036,0.9662562775476444,1.2182229607166701,1.009219137571498,1.1830050987104432,1.4779941897885274,1.1812965667576907,1.30297224208823,1.0033802474004545,1.4344331978471772,0.9179731515512964,0.9000162895289096,0.8549246238405237,0.8455493336353267,0.840225871980718,0.8390305725269394,1.2119685600138692,0.8411266420539628,0.7876830327134531,0.7529958112168808,0.7810580066327185,0.870585648705691,0.8263540434575094,0.8759045052938583,0.8788733165797339,1.0312259175772904,0.927618322413185,0.8898187131158318,0.8457319623891112,0.9093095761931328,0.8809061465316618,0.8090869676835765,0.7749818610939266,1.019216381012525,0.7835736237009754,0.8066357369580749,0.757813587320051,0.748954224031833,0.7375100472526191,0.7027723617523379,0.943246753902137,0.6911877735431906,0.7300682716307811,0.9159188788894194,0.6897208596715654,0.6430822135439874,0.6185488842152723,0.6737235857902059,0.7187013227631409,0.7631573951204258,0.7896878365994899,0.8376557091446207,1.0049653728686339,0.8806007825435715,0.8634222442271916,0.7766227138409693,0.8249306420791264,0.7345507705032246,0.6861091658945772,0.691215777621966,0.6952873587383035,0.6731187247890056,0.6593820108108809,0.6634976030016309,0.6674140455825426,0.7204061818646718,0.6589194226749067,0.7328779691682018,0.6598311300980078,0.6603119544080699,0.8606251951658108,0.6896625573229964,0.7221226111710236,0.748188906876429,0.9345202305309538,0.9896233325553118,0.9173369231310295,0.7643464452980094,0.7653287217579631,0.7407746903643492,0.7191582232244612,0.6881157715474864,0.643829523229998,0.6287730258153063,0.681336659892385,0.7152396444546718,1.1591072557148936,1.7745997789476773,1.1610782718454138,0.8695075686484285,0.7282109456433474,0.7285262010779767,0.6946287048037033,0.7173270990119937,0.6849308688689174,0.7019152930332063,0.7031752213869695,0.6997284234383041,0.7098879293677045,0.7288703782060297,0.7130412016904514,0.7999759032055795,0.8229425725202495,0.7942194412235185,0.6925790231942021,0.6819233903125266,0.6651800722199361,0.6585096407647388,0.6687076906648379,0.6998907567624795,0.7030741388695204,0.92303811079437,0.7171099849792736,0.7689070108672575,0.7251988168929142,0.6678585921936537,0.6755989055729753,0.6725179354192528,0.6886074354146128,0.7920007559872099,0.8609238850237746,0.9226366013282963,1.691243682402281,0.948496416091394,1.3002377468751904,0.8748805531731579,0.8308619151398309,0.7938573740435453,0.7140687089165565,0.7040064616604886,0.7066309603651513,0.6942875475526035,0.7101776805239566,0.7381960279221533,0.6994241926479842,0.7221197815761055,0.6740417982267541,0.7159543347807368,0.7600454443035702,0.738929520554006,0.7994024255822242,0.8032818014506112,0.8649466516784754,0.7842228542848738,0.8603672130129291,0.904720168145852,0.852284428601063,0.924899797512028,1.032284725303425,1.0112349024636342,1.0961547694088816,1.0575106203360694,0.9705008751538796,1.0327590486535119,1.0837130905433905,1.9122774772309266,1.3184855504175923,1.7755526027658464,1.0322537487705294,1.064524534003446,1.0980344707510985,1.0835576376408242,0.9939691588305307,0.8537359227218236,1.1219808792436214,0.8411708689921844,0.9866702067837203,0.8828362328475939,0.9919334331074142,0.9999751198493694,0.9888635400529814,1.1312134006901466,0.7959595953206857,0.7434543252290381,0.8198614690305995,0.9099893811498003,1.0026915876323976,1.2723266845414758,1.114685791175016,1.0432015298879964,1.0962181636692747,1.284154585768484,1.0845593794450656,0.9744468025569945,1.1864806331428002,1.2180855516786306,0.9693009001938938,1.1371934967270598,1.346848470760607,1.1946216053137444,1.0581188450608299,1.1378555613633856,1.0593198318998045,1.07772364089328,1.0093961589472946,1.018291335170113,1.0362764546513397,0.9068243103896034,0.8967970788625558,0.9210322884560149,0.9143682807052375,0.8161283796049389,0.869953704561294,1.0278438757536306,0.968947790674026,0.8978732569332729,0.903401388936055,1.2302316623356508,1.1079394861420493,1.1330202949900552,1.2783256851523004,1.4124635044456968,1.5276330612396871,1.2277963570562616,0.9944149109794119,0.8999066009449133,1.269745515220657,1.2443541756405019,1.3058000059245967,1.3472371993711294,0.9602189233819403,0.8338604416044056,0.7294644549648239,0.7321344143052494,0.6865856907675295,0.7019734315630013,0.7839507960513885,1.0805900815148073,0.683454738201749,0.693942447255788,0.7866283391733833,0.8721756797614533,0.6985847231239988,0.7424321713557234,0.8949384072422355,1.2893349944388428,2.5609289454398123,3.469650973624816],[1.0210536863754125,1.0017087213158282,1.1008750100413267,0.8868468188129567,0.9371534076588035,0.9143971315964918,0.8217309636370089,0.905796302316168,0.7925429696478627,0.7152960971757807,0.7106110424722776,0.827055085895058,0.7378479122413537,0.6667438866256247,0.7366619851338837,0.7475121087052297,0.672796599404629,0.7071386705950236,0.7307367877439332,0.7277821105734829,0.7400263513452597,0.726424905819798,0.8577837285116099,1.007719114796452,0.7736713902579317,0.7461281610135927,0.7277574324043257,0.6992477784830284,0.7131123226923534,0.7376948137805118,0.7967028164484239,0.842415942607646,0.9654089200822056,0.8700420274625915,0.818125318765413,0.7432135116638351,0.7925027455425582,0.7102817392198594,0.6785279242837217,0.7120845641406448,0.9074178219827252,0.7672730477477606,0.7541961440427974,0.8307779563174724,1.183932864606013,1.6371620397119468,1.3995044175161595,1.1586737555460287,2.294235443095118,2.175969302749797,1.2225006332787105,1.619952739727696,1.0777341163054586,1.0455606973119995,1.6813407675029823,0.8591479859491393,0.9153709804307835,0.8429087009744225,0.9627744762294494,1.0904105322193494,0.846875941830937,0.9528102014700405,0.9632930529915178,1.1540966947957703,0.825249811069313,0.8041161980927499,0.9495492496442142,0.7888462480502144,1.0002973191333802,0.8363306009877823,0.9980097521664147,1.2942359228475804,1.0391491956855143,1.1169341145315683,0.8646926100171057,1.3435323853073906,0.8056581545366772,0.8596222061196988,0.7974978850537785,0.762484286813053,0.7784372664260452,0.8029784322871316,1.235406593726602,1.0252854026883305,0.785367886903018,0.7525718522560829,0.7268711520365411,0.8987928704728807,0.7607138987062723,0.8707448483180174,0.7852561589589876,0.972195801511861,0.867712915772121,0.8693062254303336,0.8057089066755887,0.8771656648784334,0.814606180324665,0.8844479498628028,0.937488861378629,1.1908452973995736,1.0008108861300022,1.0446127046018545,0.948502784650391,1.0114427587928478,1.0038038566866383,0.9688313727238271,1.2483881106398016,1.0640713941747102,1.132148188266278,1.1471338257443215,1.0049184920850496,0.8766414829410778,0.8260419120286167,0.7606590973898839,0.7470470378885354,0.7280154999145625,0.7165537662613954,0.730647387408525,0.796737063338991,0.7214827983675266,0.6958142187190999,0.6679633534818982,0.6996051075936632,0.6949814035522026,0.7287425626829912,0.7811305073292397,0.8868923670813813,0.8805798302815128,0.9366484899696135,0.9150452289128242,0.9364951510072651,0.987059202303006,0.8998617801182857,0.9775987169020021,0.8688040535915049,0.8472132867895351,1.0662597089977601,0.8064741586874214,0.7730666793220652,0.7494425127828749,0.8759598591923055,0.8501698588441203,0.7661068667229506,0.7100990604355253,0.7030222131281426,0.7137456386076728,0.7048068183388726,0.736501603091062,0.8105857386440043,0.838052712728313,0.9489234031975051,0.9850192069563342,1.3372785920926713,1.7152977579504967,1.2497270360403865,1.1033300548279081,0.9452256567831527,0.9577039142178038,0.8769623734189617,0.9386171205447922,0.8201425362720396,0.7744639305202987,0.7519596246156152,0.7273679275919027,0.8440106064679421,0.8034535001205331,0.8646255604654781,0.9422401606894303,0.9897452738930769,0.9405099558658183,0.8760479431245921,0.8140591261700986,0.8481215544606133,0.8174242712779869,0.8118705268696372,0.8955433425630792,0.8504035233487107,1.1095869571144712,0.8688733077029792,0.9751352247955671,0.8472395896552442,0.8833257384112714,0.9051026510383611,0.8657057720288938,0.840485885259581,0.8329068634158637,0.8190310104140829,0.9281946108023701,1.6957779680608327,1.0108511167437928,1.2762163635427672,0.951935643703761,0.9911559677411036,0.9921051689530351,0.9541413944134314,1.0067949571592423,0.9903586316589797,1.0510017490998085,1.096740924437332,1.1065046709963386,1.146964884812732,1.159221099136302,1.0963516996005347,1.149136141361862,1.206335731164415,1.1653409668257473,1.1820953216686,1.2399975768307252,1.2906449879617385,1.2053313646049517,1.2886968122986626,1.3283954723743234,1.2789426808251547,1.3179000024177212,1.4227768654256057,1.4103323406860748,1.4731809257291861,1.4627690723717552,1.3620633551605685,1.4589173637076904,1.5374735848335188,2.3462865131778585,1.7310371209239497,1.9747132239900853,1.416832998647823,1.4773569584259811,1.4980223205040597,1.5037437872834756,1.4485807362043823,1.2953005733178165,1.4920535657634824,1.283938932571222,1.3560716270839714,1.2597008430484562,1.3312970255036265,1.3107498522783874,1.3533154199401762,1.386555898099487,1.1786833298203276,1.1604207530281654,1.2116580562615613,1.3043849751289984,1.3946706762743941,1.6292730821140657,1.5199197022900568,1.4037866183281908,1.4753913562860612,1.585921203938118,1.4372036615218613,1.3710302336647857,1.5436225619066988,1.5519537890182193,1.3670156277600414,1.5237878236891775,1.6890281364932833,1.530296089609883,1.4482113039707805,1.5464103045452469,1.4505187620640922,1.494812549587276,1.430148012510398,1.4497296908197115,1.4652336138365236,1.3377778377027616,1.3380075832628193,1.37686854017105,1.3606811246234531,1.2511312653265083,1.327638239137754,1.4307849596182918,1.3528948505037728,1.3077440470713473,1.388663373041782,1.633049207256865,1.4846648480412161,1.4789487720824281,1.6192451663968674,1.6703892755140899,1.8354066524191404,1.5625152277410608,1.3665779095669903,1.288595267640269,1.5827772286462665,1.529657399447015,1.572940579123727,1.5926245353742485,1.3016923674532177,1.1480123216578646,1.0838257677639613,0.9950080142914774,1.0379804629078369,1.1266811163798314,1.2810584541948744,1.4268888273809277,1.0828049119209588,1.1386872108480441,1.2519561821620102,1.218206861146038,1.0834871896527087,1.1681284351695944,1.264714730697593,1.5819938733828527,2.911126723806945,3.8219048733357535],[0.7036385591904725,0.6539924690458483,0.7309971760414143,0.570912664357428,0.6026003057636268,0.6117374527489818,0.5268618188841713,0.6522988748250221,0.5222752561942768,0.4663040586318082,0.5098670966803465,0.6143446299014356,0.5214850355068976,0.48192491022148604,0.6215309547519331,0.6094437847695359,0.5289352426504608,0.605400237110401,0.635761024524477,0.613693372850702,0.6555806225238336,0.6623640616138488,0.7227045242467945,0.9130359490024038,0.7062752317809055,0.6590429239936657,0.5854326121479057,0.5456832099335924,0.5727997830902938,0.6175783494122483,0.7069339209571049,0.7103851157445128,0.841811215921598,0.7765892030637086,0.7040688273545118,0.6523382151412705,0.6797600484557851,0.5816754288159236,0.5350580684582386,0.5733447129784643,0.8835244176412355,0.6696903045757979,0.6613765550800653,0.7495744367303059,0.9684757516427015,1.4890416725648516,1.229896848839351,1.081929674383981,2.292867784219769,2.145844961209213,1.1546841994887642,1.5704436710460048,0.9651467007724447,0.9006017815283928,1.613406072365127,0.8090306630290999,0.9007201905094036,0.7626013030801335,0.8989794026721994,1.0856045113196633,0.7792584991280203,0.900640172133076,0.9152670333639134,1.0657760492893982,0.7469023156172957,0.7449981036195634,0.8844821348987292,0.7170478978983451,0.9184057526542039,0.7645288179316578,0.9526705744400349,1.2832743116234773,1.0064617436885348,1.0566123989997054,0.8009375498407512,1.2883227968710664,0.7150946915846268,0.7924661997606726,0.7159411204605964,0.662649290078196,0.7114022692145269,0.7428243638272507,1.1737694517362167,0.928553541137642,0.6781780712334752,0.6364502091992332,0.6255968676723996,0.8059320586279229,0.6651876596677379,0.7843852101485308,0.7098955103635122,0.9149122384600876,0.8246268452083326,0.790729230108119,0.7234029941884694,0.8122206235666332,0.7571639927307677,0.7483288086259778,0.7742674790987634,1.0439434824365648,0.8293204019548982,0.8456526019039069,0.7836851981908453,0.7974556789551146,0.7647957721912185,0.7144033772631609,0.986268320146789,0.7347913304784061,0.7805331258535304,0.8980824964790463,0.6892228545887334,0.5781241220695282,0.5423770633780349,0.5168953479479645,0.5121754437786016,0.5286289336110405,0.5663275247012662,0.5611313491986605,0.667800975919789,0.6377906398742994,0.5621297521558024,0.5065750903792223,0.509155096468273,0.4714439445955808,0.4560063067264904,0.5302162813295739,0.5610262552337633,0.5881610799091039,0.6160716055927826,0.6297789198250281,0.5951780185699475,0.6723572366457907,0.6080612065265866,0.7327402176676825,0.6379021311721198,0.650570072170566,0.8269045389503463,0.5740002275577211,0.561109680132864,0.5195941120250959,0.6772806960129787,0.6650581469582854,0.603533343497102,0.5189279753314059,0.5227716040829471,0.5480586428351909,0.5232707802928652,0.5296699327982539,0.5629537939811489,0.5904451919011916,0.7028639037607411,0.7604740861017429,1.1753137729038208,1.6875750279889918,1.105275247614169,0.9159746221213513,0.7406269504038533,0.7455061622590433,0.6712019547713058,0.6871006815308309,0.5760561912036046,0.5683458569297952,0.5101028352914229,0.5313053749890126,0.6029492896618566,0.561845241869906,0.6077186287838923,0.7088495648381612,0.7780777916196514,0.7310727680378809,0.6150173970169206,0.571318591136861,0.5988234711842177,0.58957044474166,0.5815412026893679,0.6829535425486967,0.6517854484584834,0.9290652242562003,0.6742329483939677,0.7671783022148887,0.6214335877095959,0.6254368360963997,0.6421975797767225,0.6216337702860861,0.6176592357205407,0.6816358634678933,0.7182132524730239,0.7538554260516735,1.7034673187672564,0.9620912026009972,1.1430595061026627,0.8341625005074276,0.8125044762888454,0.793709085937999,0.6622757957348978,0.6307324012395871,0.6178703856935153,0.635708796455213,0.661261533161131,0.7184203779963481,0.7298332705622951,0.770343876010643,0.6830876626242218,0.720272829094102,0.785736472598819,0.7580920823845646,0.800218890044644,0.7992395299631652,0.8906323048220002,0.7861850382800812,0.8598980071173262,0.9145102777505688,0.8681688307414573,0.9209282668558298,1.0127032226905515,1.0235485035163916,1.0596238422950646,1.0741457012495905,0.9501987477959858,1.0198341536461797,1.0971868389184969,2.050186081740798,1.3030832100470853,1.768680547783182,1.0502684914646476,1.152892070999869,1.1756024943185288,1.177021765725828,1.0642890052659484,0.8803917018022359,1.1267092111265342,0.8883320617686029,0.9768300877008476,0.864697196233117,1.034683474431133,0.9151583014623982,0.9960873973177473,1.092301835874801,0.7781926680326688,0.7803462472892305,0.8500760989634941,0.9714096458452193,1.089265584440765,1.3332976759663475,1.2174921544657056,1.128343175927777,1.1688250455904872,1.317037950561883,1.156142865418373,1.026215099604667,1.2188939261015088,1.2408453902110017,0.9948896150939736,1.1571023507408016,1.3495545634645263,1.164040555746878,1.0598086822521438,1.142735762191847,1.0527134237401972,1.0900287176585632,1.050255441416481,1.055778392076954,1.0582507404839372,0.9246872999792098,0.916163883499201,0.9424839311448489,0.9306437582274488,0.8121985762503142,0.8817992788507576,1.0192881503617184,0.9329283789127044,0.8865780244469288,0.9526839890415031,1.262400611975691,1.0969561387746276,1.1077622626067616,1.232566355981205,1.360538488836701,1.5352662624045617,1.2208568948404033,0.9909415610540755,0.9032632882449905,1.2687404856474913,1.1965618258546857,1.2326081522562624,1.2614845743532408,0.9257919638453344,0.7622628761306331,0.673495508559369,0.6363250664996237,0.6427955343406376,0.7648747999644762,0.9101218793260666,1.2182672517873387,0.7212536576872495,0.7516710801983909,0.8836511189772263,0.9058249278382301,0.7044724679950122,0.7711508655324796,0.9210027041213752,1.3718283807619278,2.7513931700189618,3.6448292411869536],[0.6503387504651457,0.5768486279709648,0.6761745848849025,0.5480942919592368,0.5794344472554059,0.5926209874676649,0.5241267609012056,0.6334149761150895,0.5270872124093922,0.5199027856231719,0.5602598443021486,0.6354503770771989,0.5615753816279349,0.5486956075601885,0.6858701822492124,0.6632319730084989,0.6106610049174983,0.7163951142000012,0.7636011404669684,0.7237506926411521,0.7964720624825391,0.7993424050822795,0.8787947072913143,1.064291953038726,0.8125197643754611,0.7778820794326278,0.708573399354608,0.6400853261726518,0.6559344074634778,0.6896419512369112,0.7720375688897967,0.7524196957650167,0.8737935973296771,0.8239842065311661,0.7642589814059148,0.7369094863686975,0.7267579451978552,0.6621075463658732,0.6166299062671478,0.6464359765164234,0.9477067232748463,0.7456474761602502,0.7221825865339515,0.7896944872724293,0.9994992178959178,1.4231599360876717,1.2404439158394531,1.0981464084019488,2.1917787293087376,1.9186923339692115,1.1120890778698744,1.4861977649238707,1.0501419974284885,0.9564634788847285,1.6402270553677276,0.8783985331561577,0.9528535570265277,0.8343440917664409,0.984191709806548,1.1318140706846593,0.8827414082788885,1.018953831595081,1.0186124623038415,1.1723327717083958,0.8601917755365704,0.8567188237656219,0.9831559494285959,0.823045486258214,1.0389373552922834,0.8744294522278294,1.049981098834243,1.3849773611413376,1.1113767799054046,1.1877419763510004,0.8926771628038165,1.3511242463785393,0.8158961247082159,0.8713700775536167,0.7878857591059932,0.7409752673130298,0.7696805091248138,0.7945095900989546,1.2265860316957695,0.9754589188355115,0.7456525001158085,0.6962030503323707,0.6888071663293622,0.8455974708514244,0.7547704457757316,0.8303391575863454,0.7875676326565895,0.9889763297822413,0.8872707792704313,0.8466246580302441,0.7744552820647169,0.8483462033753659,0.8028457530762946,0.784472949871792,0.7687716874150466,1.0712433600874147,0.8332927775485336,0.8236719801726142,0.7809630048027223,0.7822672746217136,0.7573573898532386,0.7072588963125853,0.9640705906690704,0.7178960728263465,0.7668396796378013,0.9186476518887752,0.6701579985593734,0.587850896046471,0.5575371860104249,0.5492965440384592,0.5914601772692699,0.5971108199912404,0.6433170180828004,0.6389697924136872,0.7483646133312384,0.7317419904587831,0.6637894461998022,0.5915628470811133,0.5850941799221241,0.5550006173687706,0.5120819511150665,0.5459012425685928,0.5688836126566424,0.5991215306204783,0.6065239490046537,0.6182964412840152,0.5851785690674718,0.6508854378727585,0.6043012158958192,0.7407906655057911,0.6481337589374764,0.6568314787851666,0.8315753055519967,0.5953180754493681,0.6138494589438812,0.5712051964505229,0.7342199295908619,0.7434681123992907,0.7010719581152435,0.591963125105964,0.5895099747179895,0.6110499234226632,0.5842995924000586,0.5633757515419191,0.5843777183922283,0.5971839824683417,0.6844639982947457,0.7490780919696477,1.177189179202367,1.778549082978002,1.1200330902701094,0.9171170803403714,0.735467233665172,0.7360262325025799,0.6731795110620029,0.6708230803364614,0.598290449612098,0.6090692820798046,0.5583048403805388,0.5874200104669373,0.6230073688680474,0.6027010465118241,0.6152244267653534,0.7205104447702911,0.7838208084317088,0.7496533426007517,0.623753766775546,0.6064332136841294,0.6100961546092974,0.6083910758182371,0.6035705764131912,0.6922149307211025,0.6890680928949571,0.9958922354380149,0.7027716846938858,0.7780056478142477,0.6337242167952245,0.6205403104606073,0.6282015670967656,0.6161204338053663,0.6224024821864221,0.6924600196594185,0.7247555090112888,0.7783242009207431,1.6966280601369814,0.974822449674052,1.1182871326511818,0.8827250373378862,0.836602504834238,0.8055380273965729,0.6744663171301167,0.6339704071719396,0.6115288574820036,0.6220781048111745,0.6325913846434474,0.6674003577804415,0.6865830146887696,0.7279611194275583,0.6425859863616362,0.6755381809304583,0.7356479142358109,0.7118045351471762,0.7684726570672012,0.7552299506843974,0.8435754173602583,0.7404004402590468,0.8133735056476109,0.8599829286606014,0.8189127057411599,0.8962209349838048,0.9825034133247947,0.9769289948407084,1.0205919196661655,1.0153440071482402,0.9105509957277079,0.9636244066071621,1.0352864900804042,2.109444948617671,1.197445535188367,1.7356535811362168,1.0065859181924577,1.1105581288891109,1.1404726376270955,1.1763194539649604,0.9895004183627923,0.8398074113999247,1.1310036977687918,0.8561223993670218,0.927056707250255,0.8114334115784325,1.0203625088597592,0.8522780758191587,0.9153360838043765,1.0172730439578088,0.7088580770499838,0.736574294968777,0.8384446920684855,0.9588152884780728,1.0823031097812998,1.3150198321042026,1.205392866357977,1.1127477991326127,1.1427489533197783,1.3167393208103664,1.1304643709976552,0.9760382900380857,1.1715519188923131,1.1831513433404346,0.9342207627648277,1.09352701674897,1.2804961663516905,1.0884499493357906,1.0014063324942002,1.087642894856783,1.0102737687588779,1.0439401467445155,1.005118701488503,1.0157129898918582,1.0183718365311987,0.8756609744764383,0.8737044340187128,0.8865052601680499,0.8842960490062167,0.7559031095918823,0.8243809225580031,0.9566722838371787,0.8857058521967888,0.8182303605278732,0.8713655984134849,1.170027821738841,1.0109800861225218,1.0396927431770573,1.1645759262254691,1.329758636488761,1.454378596562075,1.1752575101086118,0.9437988209471945,0.8552502404356438,1.2123114121331862,1.1370954524468324,1.1668777706414188,1.2161140125993675,0.8612721768249357,0.7307049719452643,0.6546934497530664,0.6171290620338861,0.6001149066369578,0.7373287450333194,0.8640360915892463,1.2163508947572572,0.6859527355287051,0.7170978277666976,0.8538837463286612,0.8795321153846677,0.6698430199784977,0.7558031246637344,0.9616793537621372,1.3160404376936028,2.549916490996071,3.368848481048366],[0.573755571442826,0.47705780189247365,0.6147736322730885,0.4766630736934625,0.49846241831656807,0.5044614382692486,0.41045175668209155,0.5379911874350161,0.42792783726149364,0.4162516006928019,0.46290395155795855,0.5463655298682623,0.46478335315036734,0.45402774553799796,0.6123727664193738,0.5898937534325052,0.5448958921013476,0.6654645711105738,0.7238712021210456,0.6895683833093251,0.7661999426741831,0.757537943504595,0.8880427920998304,1.0845367285852205,0.7572532378140742,0.7281929000840675,0.6545003446235075,0.5681017068329477,0.5975390627965617,0.6221080883170074,0.7109462519180494,0.6885828071472034,0.8317022445692532,0.7773521614199467,0.7022073942860335,0.6820826913524897,0.6667738330239177,0.6081028874899168,0.5617625364419724,0.5883183036408749,0.8712336903509459,0.690158875294978,0.678476756340932,0.7263154835960283,1.029991567657982,1.3794290072045543,1.2354797343098936,1.0705390642409924,2.0956317750443505,1.76666340146941,1.050329606779122,1.4206915164023015,1.018148997963035,0.948842239348216,1.635842003955876,0.8218222333882831,0.9051202834307938,0.8044912099509008,0.9397398702120097,1.1119760094205933,0.8427998881174077,0.9915113026951334,0.9936314423762777,1.1623344732629994,0.8328176603413143,0.8251287626704128,0.9820495593672427,0.8026758096627425,1.022597572486125,0.8338815091396297,1.0071121830156888,1.3525397547866158,1.0714004849933036,1.171734025605678,0.8632744518363021,1.3414326828099752,0.7788590113078849,0.8313545501105966,0.7532270848440176,0.6971698156513014,0.7287836673413821,0.7485222475832118,1.18628357299827,0.8833427093753313,0.6741936452443191,0.6300638629264074,0.628496342670234,0.7871981584012522,0.7019855943381536,0.7945670265180316,0.7466067433330977,0.9595301123746454,0.8450796755191384,0.8046968219039545,0.7236527557667602,0.8072304896319679,0.7527574485039694,0.7147220995909833,0.6981445838788208,0.9958304734709716,0.7480770200302509,0.7326418922269958,0.6828413108152703,0.6885016274672074,0.6606469167822019,0.6014171383395889,0.8730384613031245,0.6030395665288406,0.6422611982728867,0.8283579236247808,0.5615903986553349,0.4799014287894643,0.4456533893020019,0.4486942618187103,0.5254034971104726,0.4925127711232468,0.558922046742417,0.5712586961033163,0.7172844963659557,0.6677376938156401,0.59903734675534,0.50600513677039,0.5024448504355338,0.45122086997349486,0.41488564068894906,0.4471480798967032,0.4937667148256811,0.4950249041266951,0.4808442900416656,0.5233391170871684,0.47595460359934544,0.547363534330725,0.49391662569622186,0.6604846096947455,0.5397216057378403,0.5534587795308155,0.7178651171956931,0.49545881196899505,0.5258650687574539,0.5026085377330934,0.6870332585822105,0.7142697772075102,0.661056474637576,0.5298772308808533,0.5166712545674806,0.5423968114705565,0.5044255074738374,0.5020247392774232,0.503092801906742,0.5171835271261112,0.5971841696421513,0.6589401657627673,1.0921132646968947,1.79854757624899,1.067042752701383,0.8181253846865888,0.6505979579283696,0.6514970335191412,0.6037778644212835,0.6075433196757045,0.5040092657615128,0.5406275639274747,0.4847973979989159,0.5207902863414452,0.5738206387599217,0.5173392541190973,0.511400396556645,0.6217908491186563,0.6655043844165062,0.6401789271838887,0.5231682807989629,0.5239249050085468,0.518796961151732,0.5184349661588418,0.5229354274660076,0.603191884165906,0.6120105724971674,0.9283936058970417,0.6248820694901386,0.6914785881393607,0.5603447574873563,0.5422173622634017,0.548748144905102,0.5224237234227641,0.5159145578798109,0.6051394087103249,0.6480783317730087,0.7535422866045755,1.6069428732426456,0.8948549556878019,1.1134792037988792,0.8465537627467733,0.7621324831758509,0.7133630338398551,0.5706499960460977,0.521083933727396,0.5195997161995847,0.507472099883759,0.5200842170428933,0.5929572550193765,0.5746477200016118,0.631326834831876,0.5380715467441616,0.5618583684721696,0.6370790729454504,0.6188801015119182,0.6601792700194749,0.660699343907626,0.7615554559503988,0.663557588711696,0.7337096870748527,0.7766834235925714,0.7398032007933749,0.8458279062343779,0.9225706293103683,0.910700465033995,0.9454725895327399,0.9332177799733117,0.8341197955326652,0.8760142577559531,0.9366931936368522,2.081448839821406,1.1224078978059429,1.6966373294637762,0.9171019311797494,1.021499035434933,1.049792307120103,1.1057666174405858,0.8934649801374712,0.7132984921125839,1.0310124202311424,0.7410960770043221,0.8049234982087466,0.6883302395767488,0.9296959106246131,0.7662237656456389,0.8597752964981487,1.03165593245784,0.6270606876477344,0.6582374410875792,0.7551742016078871,0.8703239000497642,1.0127953235726157,1.2234668358839471,1.1213571401939189,1.0214918804967412,1.0459898871502067,1.2244145060438638,1.0351578625996911,0.8887851994174214,1.07196842706872,1.0892083326201185,0.8544196047211421,0.9896449406921313,1.184213110805806,1.015277400600441,0.9251022267579063,1.00861931515285,0.9232037145221974,0.9483275150219035,0.9082523780846603,0.9093851549325809,0.923239194681181,0.7838972891218394,0.7758859082098496,0.7931170016898339,0.7940670029212129,0.6619354793058098,0.7175541493078925,0.8813111705221134,0.8005473132314082,0.7378081477009211,0.7824056958113351,1.0842513434659469,0.9469528815931684,0.9785801594558258,1.1043907894656806,1.287537515788513,1.3747017553536234,1.1042676175818946,0.8781766007096493,0.7930451230214565,1.1623286468804754,1.075082204717717,1.1055107393012673,1.188010676063782,0.7952037748783012,0.6570969265930314,0.543396968009512,0.5072043983905797,0.5082518938128183,0.6224789754793809,0.7633129988989614,1.1544913164035777,0.591532990889679,0.6331274478308558,0.7831597746632775,0.7629314470674763,0.5871160225361503,0.7318289823351197,1.0225349356760944,1.2936129278765711,2.3280425725019165,3.1228590851041274],[0.6052474898034159,0.5527996419831464,0.7579620125767796,0.4866129818776941,0.5564382315117679,0.6124213728944355,0.543482353516045,0.7155322178468168,0.5991539549248422,0.6402753350432528,0.7191103624019483,0.8155340827392391,0.7455230226763409,0.7007867372542543,0.8817290355156464,0.8769727281241775,0.7798908926966113,0.9029091886533782,0.9042767752551086,0.9066801185781939,0.9610461937509349,0.9750415601376159,1.0560492720176902,1.1844341385707053,0.8957622545780974,0.8588411096960048,0.8649568344917653,0.7611797547590718,0.8366122151323532,0.8880543353792396,0.9880507791756701,1.0206597765793213,1.1140458433769893,1.0990222103631098,1.0267616481830062,0.9595514395862117,0.9642550479327021,0.8735080589239288,0.7971765120658704,0.8481373647443492,1.0039038464873877,0.9148166748813158,0.8979673883161883,0.9179411310226403,1.1778020237820375,1.4929846587367936,1.337521087528497,1.2588976907583909,2.2056219861449864,1.808531885617026,1.183710713945837,1.4758908167899818,1.3257634906417484,1.1654450347406262,1.8428517978072074,1.0732538473618285,1.115864430895294,1.0365791360455072,1.1958674209241686,1.2155322834340236,1.0427943131792592,1.2304509273869761,1.2372985633934952,1.3569162541543573,1.0723894336796111,1.0360917569433081,1.194681805478937,1.0314758626803677,1.1409934113585294,1.003061158932828,1.185541241129645,1.4315384098558843,1.2307920275661044,1.269743605118236,1.0848154111768282,1.4557974286679207,1.051100387391787,1.1373722754288975,1.053248524742692,1.0107796156677191,1.029064502129933,1.0132556095462668,1.399708143906163,1.1597539221923905,0.8879510922881805,0.900094079335941,0.9110852441500141,1.0944123477022938,0.9850897810706889,1.092587453444951,1.0488192160177379,1.20035273902015,1.1385540641668326,1.1084732609061383,1.0202225369341626,1.0832455262937233,1.017069962149427,1.0382526160884784,0.9942241958295799,1.280668323226403,1.0714375423195934,1.0429656043823368,1.0133739173541763,0.9768142953759492,0.9414583192761863,0.8586761476410619,1.1475176924457968,0.8134981994726368,0.7972044698726017,0.9945459860413397,0.7270821192952005,0.6786736735936325,0.6401902216964332,0.6444726316437632,0.7056224553461906,0.6335825181612096,0.6984981282248708,0.6818614855913772,0.8650674493271778,0.8313025919707421,0.7576952426454346,0.6533143747075949,0.6195257450458455,0.5645218920211166,0.5379820521756647,0.5637239156305835,0.5872211835387819,0.6278203405401199,0.6390624900760004,0.72338110109964,0.6378556610765079,0.7513040738597098,0.6735843866862742,0.8654911486520691,0.682963915987866,0.6611942115070623,0.7666132557571439,0.5864188487452872,0.6117790237275682,0.6382828633457273,0.7523772620077483,0.8052989813044003,0.786553237852297,0.6936494649405756,0.7127192945022215,0.7389465468386787,0.7036707074390741,0.733365738380033,0.7363412050021282,0.7193720579551509,0.8107224050387484,0.8652764825018511,1.3061569323911129,1.871899294943018,1.2550698787545695,1.1022522141917492,0.937714357973147,0.919695820268206,0.8849605999295418,0.8471650090794856,0.7449871193405295,0.8013448867109134,0.7003754986459843,0.7450870342993888,0.7471605605940239,0.6420423674174939,0.6553014059841519,0.6935425246147467,0.736912405395917,0.7165070945566224,0.6425307085464925,0.6541684838403903,0.7017392095286407,0.7559558850860784,0.8013555096566037,0.8997162015817363,0.9022274242539334,1.1632976449288293,0.9175302509370473,0.9799304347890284,0.8210629100239474,0.7901092264023762,0.7864419851643035,0.7510634961439034,0.7163835935235154,0.8430653046915518,0.8267124085683885,0.8712217028097385,1.6133224629432008,0.9715779811835543,1.1933516354399307,0.9086310890288238,0.8155818492778005,0.7873992681764069,0.7108693427344194,0.6770991355190931,0.6342426767831176,0.6834554664120167,0.6626185003986216,0.7454681538530287,0.7608201204007546,0.8115067098053904,0.7078605307198897,0.70335407082585,0.7942386392991714,0.7600641437795308,0.767003664026517,0.8097377271556302,0.9167266769035343,0.8068968612758514,0.8800980176364551,0.9492917156563979,0.9036756949573674,0.9892975827899141,1.0762482354222904,1.0469883553402675,1.0964169600855154,1.0566525840848637,0.9530508596416706,1.0324101457401629,1.101785450775438,2.240284366816014,1.3665892309962049,1.8919667813055712,1.082902986556302,1.2065697549758156,1.1965365372631656,1.2476505904607396,1.064747619277279,0.8830571915146083,1.157406696698396,0.9163965739546199,0.9591990882465037,0.8424901993624481,1.1102126065998184,0.8667231236974293,0.9296673996527699,1.072361531862915,0.772425855403023,0.842493202691707,0.9181098278971178,1.0166506498329066,1.1563682355015132,1.4114351409413866,1.2893662021894796,1.1585420233258992,1.2097669139694756,1.3780761990483883,1.18827949990866,1.0333949150314423,1.2126325521798755,1.2089920486917116,0.9940429008402089,1.1469898813532795,1.319140810196217,1.1184096887089066,1.096653514663365,1.1910958647410312,1.1046951874811897,1.1284357182025968,1.085760096474628,1.0951982212372777,1.110005341824633,0.9471256835166232,0.9450098840144485,0.9664918762733369,0.9558365861405465,0.7982431076218142,0.8799930013410924,1.0081270444452373,0.9201275468563274,0.8379462937107739,0.8992565968234559,1.213760801735517,1.062696429557768,1.0896593567084227,1.2026905435874384,1.3765202921787407,1.484004654801151,1.220099910902952,0.9947436770675028,0.937249462431874,1.277122498576344,1.1604652811208502,1.1793210222731,1.2031232653928339,0.8646617793890744,0.721940549305171,0.6776369696116298,0.6142030834592048,0.668011696534266,0.7741896638714706,0.9116727156710249,1.2531720218040239,0.7340570591220069,0.7574034921746318,0.9049965118477877,0.8641474185370046,0.6817453806942614,0.884833407289172,1.0843560478745584,1.3712757903250743,2.5351084355064586,3.3370413523584053],[0.652390676921694,0.5767433501218487,0.7325905392925083,0.5168540459263283,0.58641532858013,0.6008875199473791,0.5154936431053748,0.6741895352342867,0.5243267913783326,0.4932166631820366,0.5468874854285778,0.6583267168716834,0.5821027291209637,0.5080272317709874,0.6623348951782477,0.6753441539532725,0.5923476008818013,0.663001093469989,0.6628655680623983,0.6566163908240342,0.6942115174382855,0.7055753659066695,0.7907049182246347,0.964093462916146,0.6974166839755592,0.6634925767918576,0.6422149831100048,0.5970228661414946,0.6362295117954497,0.697435532161338,0.7560362203609595,0.7971044390281522,0.8872070176929139,0.8529949657465336,0.7802884097326814,0.7307060766552744,0.7522581906968732,0.6593071566959632,0.6002276351691015,0.6528704923487924,0.8893277778621425,0.7165918780161957,0.6925039160805393,0.7733967107421337,0.9713968042234798,1.4677801525416314,1.2030560480412829,1.063633338884319,2.2690110149598737,2.0295368233443813,1.2104604167453008,1.5724659284233438,1.118434011828234,1.0265785810060173,1.7448183023300188,0.9022805862551895,0.9418337425560692,0.8336613609414816,0.9686114198973638,1.0849609064229642,0.8154643338765278,0.992390152418645,0.9947486456786164,1.1141606033214382,0.8063953681169975,0.7904536127657543,0.92725849520017,0.7525631626934761,0.9282237543218075,0.7814081532924393,0.9707614189210492,1.3305711469697197,1.0466087084511537,1.0737333211508806,0.8440607523240552,1.3201624720559209,0.7814591401133248,0.8719413584111124,0.7931188355513251,0.7623040616545129,0.8104538966087033,0.8214031972801092,1.2834223836142176,1.0257211945936928,0.7460870360921215,0.7112110461891954,0.6987674817781442,0.8980234952931895,0.7457522378541128,0.8720527300209209,0.7759155433498972,0.9783243297200728,0.8839365835997909,0.8566866766288952,0.7786665465392562,0.8553054633443153,0.8123501860272716,0.8050764059584077,0.8035400297825754,1.0960664713676394,0.8829890955276921,0.9065600661214631,0.8420251324878769,0.8564726614510647,0.8230482535543205,0.7732214244310911,1.0517278110828752,0.7590009231732312,0.7747277528137693,0.9645400795939912,0.7017183282900603,0.6279419069489619,0.5778041772894867,0.5623127937953769,0.5586071564133895,0.5554560208059823,0.5866403178662938,0.5737211894962845,0.6724611798484691,0.6783736697242956,0.5848232435189553,0.5194549115601861,0.5122262563382031,0.48315291123261117,0.48566683309667047,0.5353190138134437,0.6099431387879964,0.6226910916628532,0.6315348226082063,0.6680036204880218,0.6248254879363798,0.7175696780321225,0.6391452272454546,0.7756188315604383,0.6558732475159998,0.6285556196107436,0.7971966504821844,0.5670124350562428,0.5806109733891555,0.5695267316095635,0.7020951963436917,0.6921718760302776,0.6357127584151854,0.5592612148667462,0.5702502939025161,0.5894716386186849,0.5806399033414165,0.5921238249992045,0.6123651929469887,0.6176884093511238,0.7442057735563332,0.809016009564225,1.2651646506460459,1.761979311196595,1.122770889319319,0.9781142713380592,0.8008850823018976,0.8086719551447606,0.7382138385936318,0.7612789819857193,0.6315566745353495,0.636583944721247,0.5786710484239137,0.5944787804524877,0.6613829321502995,0.5853886884250493,0.6100340475989833,0.678867349593525,0.7437223702691591,0.7176858187002474,0.6171928295806673,0.5866591043778362,0.6309673318998978,0.6510646424338264,0.661821765312732,0.7411135510187213,0.7206645269510118,1.0259918209376115,0.7533498136666128,0.8458226085575024,0.6933720459998344,0.6932326896003156,0.6932171061682612,0.6638508322813493,0.6616961063789992,0.7202760835514317,0.735054962711543,0.7734104350827539,1.6068154496012568,0.9358395699576298,1.1531702357621871,0.8395878603169401,0.8127014191202819,0.7736588300262991,0.6705720165604916,0.6547588174844429,0.6266330595844251,0.6442078525144201,0.6566861296582095,0.7271987389994983,0.7307448495818837,0.7796608497976316,0.6943574300856927,0.6893178645127562,0.7678324958845915,0.739491542314613,0.7526132543117281,0.7556478150649093,0.8575283947019414,0.7388022492227123,0.798430310637938,0.8472330395808425,0.808624196947747,0.8777502023140917,0.9633870951519781,0.956040283607837,0.9807471818694778,0.9835120142111871,0.8832745381950989,0.9268105568717883,1.002571167881513,2.17210289250312,1.2176137175061137,1.7708148327549094,1.0244927802644814,1.1673784058177012,1.200941901147153,1.2291619121670652,1.0443422924515684,0.8788989619508079,1.163750815015324,0.8900075327185059,0.9500820521929004,0.8300987914987329,1.0429985133583246,0.8471876869991268,0.9050684466113732,1.0102055991161372,0.7399311214845975,0.7801555207208326,0.8990926971236323,0.9906154609063167,1.1350405703730952,1.3690929233736657,1.2641504073720498,1.1570896895270217,1.1919849709208847,1.3531469198255992,1.176009631303473,1.0073219736374126,1.202127862859315,1.2086717592092593,0.9612898127725392,1.1093927783695083,1.288429582333277,1.0742323006570664,1.0101051983572142,1.0946834714995746,1.02164731898521,1.063676295827205,1.034323850816088,1.0487365144410699,1.032854708894794,0.879482465176335,0.8955443068977174,0.8968116765480943,0.8747768128986659,0.7526319038198558,0.8358572046013599,0.9377099207203956,0.8531934337076162,0.7983317594938717,0.853696109000429,1.1245076103111713,0.9815890871415752,0.9984279959020523,1.134403318953932,1.2811141793029648,1.3801057325139368,1.1471045324885154,0.9221970164778975,0.8597862327756831,1.2159316767005999,1.1142459714594104,1.1348039470640312,1.1629078967881699,0.8400587854159912,0.7308630040873666,0.6892243542925383,0.6413154484219197,0.6606659334419572,0.7692078317013106,0.9000154624144109,1.23985310881288,0.7225197808476145,0.7382979967088141,0.8813635562903406,0.9220663436744972,0.6785020081833938,0.8011314755827063,0.9931888366794341,1.3713928645550644,2.6620718267274537,3.521765005586438],[0.5339541396630034,0.4397038063787999,0.6082318614113311,0.4296589374662782,0.46593860819851846,0.4764808486976971,0.3701172238295946,0.5362969614258069,0.3965098740200133,0.3697171116209989,0.4452838361383743,0.5568301687373352,0.45394780169169474,0.42144666455651597,0.5859085040231482,0.5640823820104783,0.497008118007131,0.598664690485533,0.6210056958398997,0.6020063224674491,0.6515178971994422,0.6451198047969291,0.7605877196148216,0.9542532502555192,0.654302259132087,0.6288787453315086,0.5659676990561364,0.5063452743770707,0.5411554662178596,0.5862458956985942,0.6764286707872379,0.6727802571079795,0.8057011757831399,0.7567056283384314,0.6785033472016735,0.6312778065382896,0.6324608401252082,0.5457775042483918,0.48694738846847674,0.5269699697184124,0.8314871235215243,0.6479587294917855,0.6331434844477747,0.7114739241093596,0.9518764535250134,1.4292321729795647,1.1864388477708412,1.035764996011686,2.2250134293930497,1.9945631269075943,1.1094217332351612,1.4913972226018444,0.999776320833338,0.9130565817933232,1.649783528908576,0.7824931304261793,0.8738945986374782,0.7472209483055811,0.893664069149007,1.049098651240571,0.7526418968241854,0.9008489555471568,0.9025474299008518,1.067494849668046,0.7367634293638643,0.7152524460992241,0.9066936912637125,0.7131691698410341,0.8982693711799274,0.7473137437166341,0.9279387480464566,1.2784529288608106,1.0042394235906353,1.0455772218806585,0.7891622643420212,1.288992064228807,0.7062444951368362,0.7820749917951231,0.7035312557517586,0.6604904740494231,0.6943831270131868,0.7006840556143269,1.1694241330089892,0.8583940992935815,0.624144904996961,0.5900174896869577,0.578668229805492,0.7765610973796041,0.6428813041592191,0.7828311752757854,0.6913440346052129,0.9266820864284956,0.8089172001961864,0.7764345801630346,0.7011638187553827,0.7978300358393913,0.7408337222435113,0.714289061328598,0.6959642679637705,0.9839369938321474,0.749416962101931,0.7561081900857052,0.6909955851187012,0.6936394660962677,0.6695774526358697,0.5901583791220155,0.8811137928575714,0.5906753171226038,0.6271056604977461,0.799826148172384,0.543061169101746,0.46829391975712564,0.4229800162569841,0.4202676074328123,0.4637023334486214,0.46626506941319085,0.5064647352626839,0.5086434094718532,0.6235588183299365,0.6056275914361863,0.5230646458893962,0.44726043199695037,0.4407648377561845,0.39510867530887794,0.3633767232081656,0.4045884849845072,0.4475830300081493,0.4686780534718177,0.4685616284322891,0.4970309880423312,0.43960556262213213,0.5369115431579442,0.4551224349455842,0.6402234409343988,0.4972451062989781,0.5010911131607262,0.7093132922796637,0.4496620875619497,0.4776436115455036,0.45292083216668666,0.6353643348835268,0.6357304806991555,0.5788059431351176,0.46728486621830717,0.4649949735543028,0.4913040147348618,0.4603732379436501,0.4556837233273545,0.47318905678644607,0.4820531419872815,0.5939256863307992,0.6657323052596292,1.1238706815209127,1.7556330669408582,1.0774498978772244,0.8425369539559148,0.6626864072373372,0.654466656612841,0.5956524790671457,0.6042855540804838,0.4800683041412296,0.4965189028826048,0.43606609216755365,0.4616753350317599,0.5185122887144353,0.46788451854646096,0.4797174877087896,0.5847696800823797,0.6390607955699492,0.6175992133575299,0.4828373956022713,0.4594782452563061,0.4724915067529773,0.49222674712211595,0.5013340261354713,0.5971317364274628,0.5823499157700154,0.8810037151493165,0.5975306154142782,0.6881662166285099,0.5640012821804147,0.5190083475073863,0.5297551221951508,0.5002157093535377,0.4955767627594593,0.606984192943118,0.6460665380253316,0.7107352224274709,1.6205412249110742,0.8685514772534239,1.0986561618220831,0.7730640505879399,0.7133000184954467,0.6743517762698288,0.5210059140447427,0.4829702255760413,0.474156398723529,0.4757991086633405,0.4991529879556987,0.564610000861036,0.5482674288057527,0.5970696484182454,0.5102077595255514,0.5402856891099932,0.6048981456340966,0.5864054650893078,0.6437542059005994,0.632051163002858,0.7192751897329791,0.629864398615043,0.711838304110599,0.7602963150531864,0.7190868039481816,0.8252926530685507,0.9036530794341152,0.8997600303438014,0.9320853534355041,0.917614366483211,0.8031336453820317,0.8460083238978185,0.9143090768454936,2.059640490925625,1.1365962971958314,1.71862992252364,0.9002484911753037,0.9843303442353958,0.9989889441918258,1.0380395134879055,0.845583734399414,0.6812198459856864,0.9930306489187875,0.7133796929336059,0.821048930124851,0.6796445741613568,0.922670299973422,0.7455748087587586,0.8216607750211231,0.994515099048335,0.6047125987349075,0.6194397510461189,0.7073906205566783,0.8422189264298926,0.9651974690367098,1.1769798097093118,1.0782034106863307,0.9926160128916685,1.000545843644417,1.1883209236138665,1.0000730398515782,0.8475684906956139,1.0267189810678294,1.0487224597675289,0.8148940922891934,0.9448845969585727,1.1420378091117134,0.9789853660076605,0.8885173024666404,0.9667791475303155,0.8791417631389912,0.9028447765699749,0.8701214091259373,0.8675556830427502,0.8789663742694561,0.749569777771175,0.7492919970189494,0.7619988183722484,0.7704942660150769,0.6352572140729996,0.6960175877028508,0.8607797301128198,0.7811608129099371,0.7131968618224241,0.7547482330099076,1.0708162022877084,0.9274150168324189,0.9698185907047813,1.0917483280795002,1.2838746972796644,1.366051816104171,1.113327642831204,0.8693440927019134,0.7890452892783294,1.1780640112546785,1.0810121050316348,1.1067919706516898,1.161229855757704,0.7787196317103358,0.6305362568962753,0.5208952898578229,0.48311894974841196,0.49092927037896733,0.5906402002681653,0.7323196494724317,1.147111896814676,0.5547684712409816,0.5925571844566577,0.7420749231471742,0.7438865553519809,0.5413839922618461,0.7059364454188221,0.9856678256590037,1.3013998279485046,2.456094220136444,3.2350518710947784],[0.6197297921861104,0.5021066324216298,0.7188432988166624,0.4839368794086752,0.5484110509629999,0.5657649817689643,0.5384930027148687,0.687684014530499,0.580433656180642,0.5945406538473503,0.6691430943557697,0.7451768133786573,0.6837486700358918,0.6462675580403308,0.7570460943237993,0.7468553430205926,0.6964406755864285,0.7826505596953209,0.768351447296421,0.7907411813591028,0.8320078093428589,0.835960297435585,0.9041612831078817,1.0170962743769976,0.8034428632011579,0.7614165916183017,0.7576250990465891,0.7094833348106584,0.7392375400650306,0.7793754329480528,0.8463448131217056,0.8538228504643864,0.9554826045812091,0.9394416159299691,0.8621317205051856,0.816614093120747,0.8168302255178652,0.7415352562256212,0.6901567883375408,0.7339404258426644,0.8718826508726386,0.7851259090160402,0.7548895481369441,0.8270300286382778,1.06045402558376,1.4927358731369071,1.2137077893900843,1.0897086710297035,2.2624054340626545,1.9709757539363046,1.2429700758263558,1.5568860293285096,1.2001631025425594,1.1092241874570836,1.824242205762258,0.9442243294660585,0.962147099654967,0.8953392608281012,1.0644812322022776,1.090206236137068,0.9031416523255614,1.0641652327578497,1.063323571696774,1.172320246010132,0.8868881297716662,0.8785760522101052,1.095171358512892,0.8894903134120741,0.9945524298737811,0.8763688678040432,1.0636988207932183,1.3696143820317825,1.098320300502027,1.0892578398573354,0.948721464239096,1.3017826270455115,0.8889619738752713,0.9715566036283662,0.8984059460856053,0.8760995816859493,0.9061677519975632,0.8880323362083735,1.3194827120768629,1.0600110064671677,0.8031292466913906,0.7927954441184857,0.7622095116236162,0.9779818078318411,0.8322683562656178,0.9599951577546544,0.8837821068495357,1.0463870798299535,0.9768929627127577,0.948423387525273,0.8787102716872561,0.9774196056773562,0.9179924718509279,0.8788523212135058,0.848047945711415,1.1014144576080438,0.9046422679270715,0.9151822565453258,0.870822106556003,0.851021907270891,0.8413244186358364,0.7428723382929469,1.020440858421475,0.7504667543858032,0.7590178536683116,0.9372886246718637,0.6860066710805688,0.643190157583299,0.6010625446175001,0.6070520841544083,0.6370730466250841,0.6157136788961827,0.6715548874193675,0.6843913548596113,0.7858172260493699,0.798988010615972,0.7305688164802643,0.6542825538803889,0.6172912122314006,0.5996986112216359,0.5714826808104165,0.5959632356574694,0.6189795688780744,0.6341811375523215,0.6341780807140853,0.6607760618808927,0.604484878634505,0.7035372606030432,0.648042192834408,0.8027766563671067,0.6681380682476925,0.6526923778024157,0.8174334295898126,0.6222718761237153,0.6529016282837564,0.6537670426052851,0.7826578812597985,0.7618932984401438,0.7280473720013855,0.6744317797921925,0.6649840296121438,0.6789010782407524,0.6603133903950363,0.666491906457385,0.6654015735291268,0.646051253605114,0.7423071529325145,0.803607789572031,1.2241304737937955,1.7849341948519915,1.1402093541798406,0.9883541746436972,0.8253705059805533,0.8128742354618201,0.7758141949850494,0.781220891624088,0.6831961621457835,0.7120119752651629,0.6639253041118691,0.6745996074681715,0.7664877744455985,0.6759944870043313,0.665490085747431,0.7263317733668269,0.7454581655962574,0.7568277796561859,0.6590298576469117,0.6575166151177341,0.6782174032843098,0.7015364645646835,0.7101274088541377,0.782764191137866,0.7626360906431733,1.0465479991256066,0.7877766206317931,0.8612273175854677,0.7430658590992767,0.7268640408249978,0.7293131711250878,0.6955748115064001,0.6836443806227428,0.7607068180178698,0.7962902278265,0.8758764656495439,1.6259189921748984,0.9763668934000791,1.2610912349880252,0.8834438816129156,0.8305146037142798,0.8048104052614369,0.7013328806091411,0.6501292482772474,0.623926613234271,0.6075598603257863,0.6044143968148433,0.6725535127030324,0.6436870586086987,0.691798241347481,0.6286206648824628,0.6194283166325493,0.6956596403854688,0.6751341692826017,0.6930246655571217,0.7049044055761878,0.7900441119875962,0.7085109645273828,0.7748322399295399,0.8292377436286626,0.7981529952019001,0.9178183446379755,0.9591823553146815,0.932594059970885,0.945747795991269,0.9183488597526905,0.8265769524553499,0.8623102936484266,0.9309703908307152,2.2534683084677245,1.1251334756227664,1.7403028804794125,0.9430940228156376,1.052109425637445,1.0744600658595818,1.1658689977764816,0.9188777865678139,0.773602623048784,1.107290745924547,0.8362405580127661,0.8646740537306884,0.7706769134191558,1.0555389118594256,0.7479768889480671,0.8561937915100235,1.0199756163138356,0.6876152496541189,0.7368576718512627,0.8309856297899141,0.9372637842114689,1.0588104270074534,1.2227954629745401,1.1540699248368909,1.0753831238647837,1.049788568168248,1.2283951411597274,1.0564136363491003,0.9062018510609059,1.0597319104528764,1.0652332096612547,0.8574777502147816,0.9643940159892626,1.134116828629472,0.9781971224822271,0.9271944899160846,1.003001968496471,0.9202114006558941,0.9466922026970556,0.9271553430611327,0.9264906554870067,0.9320909748322731,0.8054833504997142,0.815580516486426,0.81004289179125,0.8126142182044716,0.6845441190776075,0.7383621560934497,0.8662838069895408,0.8166197800655511,0.7291136068843328,0.7909241893899913,1.0268533955363646,0.9150777519297407,0.9491203474194718,1.0512674908186508,1.2622218781090233,1.281319380321461,1.0941316197861188,0.8863053425814398,0.8574032966597691,1.1897977691313644,1.0653594853965105,1.0756395363545024,1.1301088552476963,0.7848325780565589,0.678358360051918,0.6321106398280059,0.6052324107311954,0.5967473660985791,0.7090558167084021,0.8253489555248864,1.2122783274590363,0.664527188606376,0.6967516023212483,0.8298576889003314,0.8310839199383814,0.6299630310844772,0.8696250714646696,1.143183199866528,1.3426097596201096,2.3083663533351326,3.133471927214995],[0.5052485758890347,0.38795226992644366,0.5716114624976417,0.41297057758951455,0.4499657469684476,0.4287775602573627,0.3646017201560798,0.5036016478868386,0.3929498025006473,0.41598679447723114,0.47432409514084634,0.532280009182034,0.485385728612227,0.47054392326455874,0.6205110793304885,0.5908984893918761,0.547549227419499,0.6353368435372142,0.648773942434864,0.6389051805489109,0.6985045061929694,0.6933620065228902,0.7916889849850959,0.9615628931772165,0.6776185402857463,0.6570645542287422,0.61741421266271,0.5577903509853802,0.583891075558791,0.6133813036728358,0.691210181975041,0.6943440343190198,0.7847312705163784,0.7509043211550701,0.6776659457415618,0.6602274413690097,0.6589323715412208,0.5947435638200689,0.5403747085682863,0.5755586248017001,0.7969030101141521,0.6585289216777438,0.6456218904666278,0.703962843669149,0.9706028559693433,1.3918830481084343,1.144864969675821,1.034816801406625,2.187961412438724,1.8657879611256252,1.1097616003575923,1.4475944951386566,1.051768238896535,0.9577853985571096,1.6742890641440753,0.8136264045692571,0.8832374403825366,0.7514516597937602,0.9020752183733225,1.0439788558946512,0.7778668163752973,0.9496773257939867,0.9330080076457348,1.0758806384442108,0.7694532373610484,0.7472650328496134,0.9340808913836907,0.7430860342408079,0.9193960143232136,0.7745079571946,0.9777665065235223,1.3200439307844145,1.0269562975405802,1.0385486010170257,0.8086120830811366,1.2627830955233343,0.7298508614058197,0.7925839259650707,0.7126543762893882,0.6782933917210243,0.7078277366703838,0.7199042956021247,1.1846589718294043,0.8849961904834395,0.6572623595364419,0.620689767746647,0.609239105310935,0.7943797979564211,0.6698575984771523,0.7758005870656,0.7060807001635733,0.917008494435297,0.8015817137654064,0.7660571444579171,0.7058468866206795,0.8012650241237016,0.7548961299885025,0.6974554337109204,0.6747854474275409,0.9587035536491099,0.7175187022256078,0.7145107800093053,0.6666898600746651,0.6604741141854429,0.6404953914485725,0.5895001930793112,0.8254936434929128,0.5556825784168159,0.5721711815949241,0.758792798401599,0.5001842470046914,0.460401870195231,0.4200955891826703,0.458719433619821,0.5166747227772417,0.5073199700272458,0.5471838265322571,0.5568451877320385,0.6790534688876254,0.6830234009993907,0.5979556666340313,0.5236359044275974,0.4927990250420968,0.45106499975014164,0.4205138077402997,0.43909641629018026,0.4891405632342863,0.4654334864193209,0.4612247008816061,0.50013481106827,0.43802431202837394,0.5242963101561042,0.4692261976627174,0.648643566758358,0.5116519216191306,0.5046134654753438,0.6856377740456011,0.47517608581754445,0.5300993889926239,0.5208130098567976,0.6814489330858593,0.669118504855715,0.6239577472806893,0.5300247409974193,0.5163171024172856,0.5302828637249568,0.5023003942092339,0.49722504174304544,0.4844768332950476,0.47227591665533564,0.5649682910345395,0.6285617298220866,1.0950290180528173,1.8618114898984257,1.0953851216590322,0.8048932183508855,0.6314931080949803,0.6274890479357607,0.5972557763233256,0.6115175263296379,0.5079329388348417,0.5455789252351309,0.5065534919804981,0.5180840700180227,0.6217847872549639,0.5299594225295531,0.5145111897954094,0.5863661209115241,0.6240480761484669,0.6185827230587738,0.5062264763937454,0.51363545719944,0.5301102362869567,0.5184546763096235,0.5292262824102347,0.5824230468121749,0.5835938671929655,0.8955374756886929,0.6135220263410592,0.6874006890448258,0.5636274584455007,0.5261644505799781,0.5345835735022842,0.5021587519428167,0.5143691412901771,0.6117326750965558,0.6512503342956852,0.7615562796686163,1.5578483924933961,0.8608742531698715,1.1613410650147775,0.8101956473124311,0.7284748241045812,0.6756864179200245,0.5256670966784419,0.4592901439210434,0.45784207458124154,0.45227135474182356,0.44939315467583696,0.5309310067266267,0.4870666955551676,0.5431437432208727,0.46472327775094613,0.4693451630106929,0.5321145780892451,0.5219066423405148,0.5741765210257633,0.5539308388806591,0.6485369089082195,0.5700451182464094,0.6433346323650303,0.6907184024737693,0.6695318679810934,0.7973565338535762,0.8323484595851359,0.8149881261375397,0.839879081745978,0.8105097863415274,0.7124718737784677,0.7343262742390134,0.784281392267178,2.1726801881454585,0.9862962149032851,1.6486820007365002,0.7938217891401141,0.9019360113209246,0.9414532926508963,1.0260453100200213,0.7676857702329165,0.6027674562809748,0.9575254816291681,0.6851183785020489,0.7165926392021349,0.5793965766990212,0.8909963193371011,0.6143796294082914,0.7518236470436449,0.9952942755974389,0.5421489886610661,0.5872254348535872,0.6980687171727533,0.8158862214577762,0.9548788142529298,1.1067087119297778,1.0346218176557085,0.9359192075700159,0.9120769349899955,1.1073139309495013,0.9256522170620851,0.7663696770240482,0.935494309987933,0.9539814845570457,0.7277835017058658,0.8339189433402475,1.0262786407906668,0.88905825491179,0.7997471900504116,0.8674863077111759,0.785468966195904,0.792183721260474,0.7734632127370848,0.7629254193096257,0.7665854125375735,0.6571676097863572,0.6600979955187251,0.6510534738795742,0.6686799719116081,0.5401353818245385,0.5808704002646002,0.7277027224503134,0.6745536914695058,0.5980316949980848,0.6273870902050279,0.9178102555096588,0.8160324650642249,0.863477574774634,0.9733482694442315,1.2407462336584356,1.1895922026355474,0.9994993725884945,0.7907655564275246,0.7482569579031267,1.1139536895341595,0.975141239413721,0.9938461391601344,1.0755799074625219,0.7002718689686616,0.5740920149716734,0.48396490813031157,0.4562807288648694,0.4671070635327131,0.5132387145241633,0.6265664765030858,1.1091951647187797,0.48937498746118635,0.5350429794190736,0.694327634965384,0.6383532566452513,0.5239912758258342,0.7726066052808745,1.2309334548224282,1.4383528710719686,2.1725034201798046,2.95723267319195],[0.6199845800571059,0.4975467500841733,0.6615498653528351,0.5171246830434243,0.5589697758923033,0.5408952460894572,0.5148176757057804,0.6261559706225942,0.5259491311191394,0.549928988002529,0.6247680242661738,0.7099696937389605,0.6573775621246747,0.6039312113465427,0.7935187637768735,0.7807625952778069,0.7113315613178872,0.7823146377720229,0.7798380662711656,0.806439322288769,0.8158527601607718,0.816641476125247,0.8922365441276644,0.9825496654785236,0.8024090984543089,0.7765055286865686,0.7658576901074745,0.7208000350633562,0.7552094312386295,0.7952733438782623,0.8599667981652068,0.8655396593200401,0.9414965229354118,0.9250829105995237,0.8737273466217169,0.8350380801107439,0.8514415086462789,0.7869540308437261,0.7451885445650483,0.7815889421959435,0.9208634822502664,0.8023108570374669,0.8284201709961755,0.8284001403148814,0.97203416376439,1.4120083302073394,1.1412322159568598,1.1738263791753536,2.2976465308101925,1.993115985425683,1.2424270584563346,1.529181018350025,1.1398790870834634,1.0288693610938673,1.7493373241708927,1.0670353991232353,1.1202864135154023,0.985140912620457,1.1655826514845957,1.211377821773095,0.937538608699454,1.117043555669858,1.1126228010057628,1.1831908303828218,0.9020831130104692,0.8987520740904598,1.0329306620290677,0.8736296056065591,1.0059608192644474,0.905118676411398,1.0804577356319915,1.3490264272616612,1.133612797835842,1.0984210994330263,0.9090869834009585,1.2991054373950344,0.8707797341795895,0.9578730124048451,0.8792067596606661,0.8518260377421348,0.906198741477436,0.9397333443318822,1.2853436245186804,1.0286182475228933,0.8240272831409824,0.8357047315246335,0.8215228886745872,0.950620015904528,0.8429906680587519,0.9485551307787757,0.8714032569363779,1.0177916282254813,0.946919937827354,0.9339379564112914,0.8830843592699167,0.9845658479833409,0.9324492011562169,0.8791822717846765,0.8564293013063402,1.071469139621761,0.8853440775648229,0.8719538460830907,0.8347695480860969,0.8302102050255904,0.8209971873954737,0.7406044112520676,0.9769098426644705,0.6907689459085953,0.6765275021243948,0.8515215304629001,0.6185213608373329,0.6013669253193029,0.5841106931125608,0.5989673529826358,0.6729138145626495,0.6648961318068748,0.693272617121027,0.6594626755377947,0.7433093732284209,0.7680059151471523,0.6979071910110315,0.6161801944991567,0.573823668277136,0.5498164182599653,0.5349362667545738,0.5492299139575931,0.6163489607796058,0.5879098514415804,0.5875288839334479,0.6565241154876212,0.5880640397447445,0.6915695936508075,0.628392207678848,0.7980506914090952,0.6452307182581658,0.623848635711601,0.7657437854376432,0.5776898723630459,0.6108449534821969,0.6028398999737566,0.7214813358317194,0.7274948034201874,0.7248559536491752,0.6398836037009147,0.6692145669021972,0.7074001977956447,0.6518653611172847,0.6387848731681982,0.6548555370998308,0.6482700702853585,0.6835612196137187,0.7265282572419259,1.142032197682703,1.8236172528897436,1.0949682336142277,0.9025517781610928,0.7980002579746679,0.7910816792451861,0.7800405942768555,0.7445434320713359,0.674471622158395,0.7230059198572106,0.6499012279906557,0.6966619413470969,0.7334029198424566,0.6353988540913177,0.6271569439281856,0.6593859412805848,0.6875185536179613,0.6897163003020973,0.6201775195780683,0.6251540669901364,0.6593850493203675,0.6997016905436187,0.7208489008825586,0.7788039638998822,0.7793116974742659,1.0466232343877113,0.8041144335866456,0.8536544258655391,0.753296469259301,0.6863814895652552,0.6904506092098944,0.6600923149622016,0.6691775925367072,0.782706295539079,0.8118677881896276,0.9497512928721498,1.523918944310996,0.9478731005288457,1.249636207483627,0.8397115396113369,0.7872736788545194,0.7535245896431622,0.6544404288616421,0.6322682164782548,0.6105486293304611,0.60676063009317,0.5889644837613134,0.6568796001824133,0.627064414383005,0.6800640168236969,0.5953127337902119,0.5794564176957908,0.6338873072047408,0.6145384443295853,0.6532955206012524,0.6337224724492213,0.7136606740820952,0.6404757639357168,0.6887146156879346,0.7442030565447216,0.7306603185575385,0.8606695271675432,0.872018587871101,0.8385261089268583,0.8720483418812149,0.8153994196315493,0.7456133785909606,0.7718770141170274,0.825512654143001,2.325906673114427,1.0081566310206258,1.6501155681194954,0.8523820946645401,0.9781658220953633,1.0059975915005086,1.1345303952565255,0.8471320212013941,0.709183148385223,1.0325545738335966,0.8080696180914924,0.798925001441098,0.6880020965448087,1.0118400995038195,0.6842588085434348,0.8011021387526147,1.0465262253550824,0.6529611050241255,0.7399119390682045,0.8230971699265303,0.9098363624171264,1.046768944088942,1.1690640331310909,1.1098210017317789,1.0166201927468959,0.9738992327754451,1.1631058156524523,0.9812484054380449,0.8269586903180904,0.9743344145253912,0.9751199214718128,0.7720994978488099,0.8643763802891699,1.0269266303652518,0.8889432838832183,0.8303877896475234,0.8951149947787129,0.8246659806069581,0.8400249819609444,0.8323466114692419,0.8282413824340975,0.8129695940210248,0.7133382261703195,0.7403622542244503,0.7080236777055311,0.7118506974644536,0.6178879938146583,0.6580048486082463,0.7497929180629306,0.7100175296126072,0.6426989669646128,0.7067287158201678,0.9050890932446886,0.8006266831102268,0.8622412403549296,0.9670076237590816,1.2257353110016416,1.1376464563764348,0.9696580747212629,0.7914720409006369,0.7956794742968936,1.10683428693764,0.9562790286811346,0.9592057947652463,1.0524827131055337,0.7431777136916126,0.654495665645072,0.6072550936649168,0.5835896879887226,0.5921434268345575,0.6290117489319083,0.7250824764644341,1.1435814007814524,0.6134453546661065,0.6270264442490138,0.7773795330996226,0.7134949769292441,0.6065063900424628,0.9098472591461061,1.3451479108211906,1.4789203008301166,2.131077326061836,3.0300878627986707],[0.6059516135400326,0.5039840944465778,0.6376516909785676,0.5131885728667265,0.5898746191647641,0.5313953304182049,0.4859816007637777,0.5888067924730077,0.4809594972960616,0.4600852783042044,0.5004781172110919,0.5551085774919214,0.5162383899522215,0.5112823022108507,0.6751566990294924,0.6308503358645015,0.6006345516166524,0.6754089263439301,0.7058177530295111,0.7025186870651607,0.7333593289978969,0.7266505262208572,0.829590235714653,0.9426097954243086,0.7223314673076036,0.6992683718642821,0.6741729199980054,0.6088399088308327,0.6309650240976259,0.6534050427570166,0.716324519684558,0.7091603057642052,0.7749220087541514,0.7452661195389907,0.7016106012428687,0.6823506521517513,0.6898880998924996,0.6446223830984041,0.6015517865789028,0.6326614209425571,0.8335770217282696,0.7205091205983023,0.7016707984366144,0.7428550258560174,0.9553287342688264,1.3912818217145984,1.1273590577286097,1.088848420780642,2.2343040698188177,1.8364733851774289,1.1358264475074,1.463468810425451,1.1000237628417893,0.9766481065889561,1.7014224738995818,0.880194306406945,0.9576791371365236,0.7987645782025932,0.9592276253740002,1.0816945376714735,0.8220433923971991,1.0068511219408387,0.9872948333088022,1.0976498440935418,0.8069211853313176,0.798292526116074,0.9602517052209375,0.7820149752520602,0.9287490359107232,0.8241394312726741,1.0385581842922156,1.3646147787868255,1.0744179428987852,1.031634870763638,0.8225898264788366,1.205997015359076,0.738987650200794,0.7889263321652149,0.7196351453391632,0.6973135878101718,0.7368728287676699,0.7807714303357646,1.1994078892975746,0.9353349076590665,0.6897448299261995,0.6694522498381095,0.6616256996021574,0.8130740281295246,0.6926815782287706,0.7769571995962209,0.7108037795804852,0.8911730838549032,0.8020196961762851,0.7621504689232291,0.7242588100797963,0.8337085717925959,0.8053542926834796,0.6998871123725288,0.6961937285067445,0.9847967028894812,0.7463187513897845,0.7788912218114515,0.7153952179719811,0.7240351925137046,0.7088414693460413,0.6832112116012893,0.8814124711959481,0.6600724034936852,0.6624186353447585,0.8290715039637417,0.6020835291916291,0.5375402714738033,0.5188111341740201,0.5342040124086388,0.600056112137449,0.581852071105386,0.6009621780881911,0.5974754199597605,0.6955589715386921,0.7075807596240474,0.6316842189446561,0.5569364562946854,0.5291875017916079,0.4849446143704938,0.47623190206896304,0.4917138846469159,0.5664841120028232,0.554714718646943,0.5562337943392408,0.602561259548885,0.5374020589666761,0.6163217204980964,0.5612648180497942,0.7510031408272371,0.5659652130246509,0.5409297225174461,0.6738135044468437,0.5165356891730918,0.5642784746146452,0.5518634435246207,0.6911593839644793,0.6653098377605818,0.639292444981947,0.5702498884668975,0.5780708603501385,0.6025335107000673,0.5671968678549697,0.5636151001885067,0.5572321645758647,0.5446741925626846,0.6590848752815824,0.7089622930869938,1.1457619389929579,2.0062567120917,1.1911948755957622,0.8732914128504337,0.6944992244546523,0.7077028935199234,0.6604215486731265,0.6776491338290285,0.5842802897823647,0.6094409397275452,0.5529571537153476,0.5828270110192517,0.6548342109470334,0.5646520114507607,0.5428795777470423,0.5942440044628282,0.6169355814379792,0.6138068814989589,0.5374700910438209,0.5565430929878596,0.588555113387728,0.593271151258758,0.6037392371023176,0.6536136660312974,0.6412789431575876,0.9267661419609002,0.6778026466301523,0.7502008421444825,0.6482473340632359,0.611629847259256,0.6148102302529715,0.5829192055996711,0.5763641983833447,0.6987362850760238,0.7014965551784585,0.8392444299932569,1.5055092400541483,0.8842339600050223,1.2400217193388667,0.806661401374681,0.7310803118853606,0.6961290071744153,0.592819221450189,0.5598994007301018,0.528864686372973,0.5787337853955483,0.5750165623529491,0.6561687791784899,0.6275796012393285,0.6700864902144001,0.6045476947143171,0.593501316576793,0.6453231636710824,0.6370969590592672,0.6554523963326938,0.641495228099091,0.7047530908749597,0.673461157311273,0.7280448214974304,0.7562760852451708,0.7533673599356863,0.864235079530031,0.8737231319657774,0.8443514208190341,0.8776705266233447,0.8355720935794868,0.7704066489205964,0.7631535431827822,0.782507563788366,2.2847513571356877,0.9896573171107772,1.6533160563355043,0.8538688238824765,0.9567349459694534,0.9887338789412004,1.1151862685301046,0.8233059023419254,0.676435443401269,1.0024122291540754,0.7958477055927388,0.7667004907661342,0.6538153085443897,0.9817424844701979,0.6890708206916099,0.8179688512273017,1.08504759564783,0.6687637393956765,0.7038098919683078,0.7981195449083925,0.8888924635091492,1.017688221313893,1.1512406344192847,1.0815776509459316,0.9836658601369063,0.9365120190687886,1.114435617989255,0.9415073619988604,0.8058992705397654,0.9306692995727234,0.9360483567529412,0.7702397891718903,0.8182141009712091,0.9619315382504238,0.8839235655266858,0.8082686411030261,0.8647440734392796,0.8066721678745531,0.79441392876942,0.7812460797637422,0.7746324318843992,0.7920657160103473,0.7003763306355971,0.708394585111612,0.6870948416299882,0.7004539588453579,0.6224139537814934,0.6299225829697751,0.7323260615671368,0.7385483933269207,0.6867120869928237,0.7204605409975524,0.9166188431542797,0.8578496052683473,0.9238081595367903,1.033071502598406,1.3070041982250762,1.1396893108070505,0.9905096804116468,0.8404191678225519,0.8268360606539353,1.1319983905003925,0.9640837428633328,0.9761107821510024,1.0809960543579742,0.7733132817569771,0.6712791865144196,0.6038570457267832,0.563768277279238,0.6127175365386256,0.6322913776581275,0.7276130034039314,1.1902727502742463,0.6192100115631544,0.6551790299198218,0.8300953205832912,0.6781485025227423,0.6491520252355157,0.954579075352595,1.541634853382022,1.7216138274497257,2.2010815399841865,3.3121055774278494],[0.7823010104257161,0.6958279555436867,0.8172324117796186,0.6805186848978172,0.7212462385934034,0.6889663533997893,0.6785327539101856,0.7442363786560668,0.6975391876453382,0.7609455346366297,0.8246183640213096,0.8418557850295689,0.8332138617937107,0.8177718095935259,0.9410001925819822,0.9217522309463089,0.8963751306042019,0.9599831707537144,0.9688149400022031,0.9722527059385021,0.9854612480162002,0.9788416098339511,1.0499189715264041,1.0915695676436374,0.9831920738832518,0.9676295381683289,0.9626869644277053,0.9191218507858552,0.9202231599531644,0.9381705329821112,0.9942750975488412,0.9691414781790975,1.012829601758677,1.0094218381734477,0.9625124313205449,0.9664169904862648,0.9371484135537478,0.924674236073743,0.892360654075855,0.9283495503763993,1.0539341235511608,0.9660922214353315,0.958649134853298,0.9862924640142031,1.107429055816787,1.5247045642757924,1.2772551553096527,1.3115997858370603,2.3571323369595576,2.0063680140182014,1.329659218145947,1.6230004563467195,1.2334080445546731,1.1574024414030226,1.782563744929734,1.0943302681195506,1.194524161161745,1.0076544616307304,1.1637134631551909,1.2460082086545927,1.0143336949190003,1.210054091275743,1.1964800066765489,1.2597133270867429,1.0181862616269706,1.0202921321697342,1.1417881355210424,1.014020780674675,1.0945113739637569,1.0510871454623667,1.22360026244325,1.456873037226791,1.2565228750620003,1.1820502535999782,1.0843243685141002,1.4024659604113348,1.0029055227604102,1.0799396883019454,0.9912669809035308,0.9556709073585655,0.9720076553564774,0.9863530835680259,1.359041537677669,1.163822374581692,0.931182568293047,0.9217517318588824,0.9365082095423576,1.0441207199594704,0.976092270513518,1.0436541673848798,0.9760160807189544,1.1228451503268224,1.0655730157158696,1.036338340078537,1.0019863752543188,1.0971318907731273,1.1004723522831474,0.9711960262967809,0.9167799644590625,1.0413409765662929,0.9199980734043789,0.8862660297312493,0.8819141693993795,0.8664158029527336,0.8676330068680844,0.8089177692088841,1.0107478250364257,0.7913618396792002,0.7844271450916391,0.90868995749172,0.7467473523227572,0.7505636842718901,0.7446816944924298,0.7790388588383834,0.8570462017547968,0.8630391480868368,0.9050952350976474,0.8776118293382855,0.945622786768591,0.9796990562087752,0.9222862235774882,0.855934072193992,0.8184222080118329,0.7599858823377881,0.7382236526346483,0.7495719035857012,0.7887067619604241,0.7525835508499651,0.7381993312708425,0.7782361464221916,0.7477149521099743,0.8054337970906187,0.7620468836242299,0.9039077755507863,0.7958082038273945,0.7828966357483097,0.8823449548242824,0.7596037603546674,0.796733863498477,0.8048593612215283,0.8803825394264082,0.8854353384044776,0.9086309362831374,0.8248650544237511,0.8426867957076096,0.8578532198000182,0.8295051530236385,0.8115742206247984,0.7949121503091744,0.7900677245854596,0.7780126325615436,0.7958837072453389,1.1725946935096865,1.8989829321829066,1.1099813709476651,0.933978404856542,0.8578988907008255,0.8347859834323951,0.8704793572027589,0.8310018800540214,0.8126744437780254,0.8622377362282364,0.8251982129702036,0.8599137399358652,0.9004075016100099,0.8181775154302937,0.8039721974787084,0.8302541862329782,0.8419632800532552,0.8608564271495361,0.7936130647334568,0.804201817692302,0.8247133246423258,0.8275675741252723,0.840458158304542,0.8649332904604902,0.8755355072746295,1.1160413984244983,0.8995909748923592,0.9577367631684033,0.845779690975761,0.7974337171535085,0.8119475181648631,0.7998834271148308,0.7901090158313572,0.8858014812227931,0.9286097112411452,1.065673450623334,1.5532608327672048,1.0761076493726003,1.3375556667282118,0.9591550978791108,0.9202503957076731,0.8695767556818222,0.7802205631050436,0.7786413492696578,0.7650441454380702,0.7515512918406139,0.7370823475041014,0.7712436004134446,0.7460394125695139,0.7807436557136409,0.7357798106705021,0.7258750617801862,0.7654826956846,0.7592877851028947,0.7642938665433834,0.7664318493447391,0.8225425196451718,0.8060276124952905,0.8542094026185234,0.8876290507745321,0.8900132665377981,1.0015240482761685,1.0106248724026496,0.9692974509020008,1.0008603758217491,0.9457310008879137,0.876571105144885,0.8749954011587451,0.9005644228345319,2.335994437902614,1.0420821622704945,1.7126606744845718,0.9402901151773116,0.996869262047281,1.027599697193097,1.1892177126097219,0.8669889313482801,0.7898742523028848,1.105166437588314,0.954731197206026,0.9244935859252625,0.8168107019282523,1.1198131127374362,0.8022292815525525,0.8668143315597204,1.1226220269826652,0.766484855540826,0.835572185395674,0.909045812823025,1.0074404942528796,1.0881663793328193,1.207309403499345,1.1275137498180416,1.0555197639942997,0.9985196354078517,1.177895188408463,1.005810146038778,0.8836284220289617,1.0135029860301736,1.010593595357873,0.8575365305546985,0.9257425808626149,1.0486055512824513,0.991476421406418,0.925471702998535,0.9728809406375405,0.9087565303645968,0.905971330927179,0.8802873358570368,0.8767087216464114,0.8874695358137422,0.805339353964808,0.810957464208547,0.805479395335318,0.8217676501557819,0.7470868267870902,0.7535802064319113,0.8482906890106482,0.8457172774530038,0.7735789206288158,0.8569118992288091,0.9447923609838015,0.9283327844812197,0.9848661865054825,1.0899914686768772,1.3589471463493321,1.199350571969361,1.054593974016009,0.9395162290656494,0.9364498161722608,1.179782131209904,1.0260555449549216,1.0276958264361045,1.1385285094590665,0.8588125690994132,0.7773997913922261,0.7727963507882504,0.7519475373187094,0.740014093912472,0.7483530288406252,0.812755331127716,1.1706157994524886,0.7584289896832052,0.7758773469331359,0.8894352805002544,0.8333675085425215,0.7998892698325087,1.0548201254474787,1.5505874601311747,1.6744662000939587,2.1330307720722677,3.346037110151123],[1.0346718360463014,0.9250229492283469,1.0537937849035783,0.8900617048788305,0.9254389857372217,0.8791261880538697,0.8861965961062852,0.9549384608124589,0.9243264907884172,1.060451700773832,1.166259994988036,1.1754987429511243,1.1814921875342932,1.214733335398486,1.4036810753651787,1.3660768352451618,1.330793687982621,1.4391291181907078,1.466213870992741,1.4635793269760753,1.4869047350294666,1.4823639493251148,1.5039346645138252,1.539071436879449,1.4497138156710376,1.4466147652167105,1.3909189855785968,1.3575252509858569,1.380515261142446,1.3507502818805581,1.4955835752677447,1.3847522393238334,1.462887625052682,1.481864483840657,1.404396983945793,1.4367348653281646,1.3667065439717931,1.3704090723940276,1.3202159246977665,1.329985340130084,1.4771384066084077,1.4429505372170066,1.4298237581366067,1.4491009108504882,1.570889631203163,1.877210860848106,1.6917598434521839,1.6761347386116023,2.6063348967384,2.196462579555351,1.690252984632683,1.9421928190287114,1.5802359744233825,1.4927823615209799,2.057526668547957,1.5506364957607552,1.565471068107583,1.4649234405999054,1.6131666702179503,1.6167592755512525,1.4816892397049306,1.6519764271658184,1.6442333579123758,1.6916842841886848,1.530022349821071,1.5093950535978038,1.552887090070744,1.5049797095058557,1.6074313406933292,1.5828926802052279,1.7157225191997172,1.9814511799300683,1.7677983940349895,1.7321574981601229,1.609933275265108,1.8925399155824338,1.5406346574133105,1.5654822847211598,1.4750131614463275,1.442520543760834,1.4018639570721219,1.3894283843169428,1.5998077920046818,1.4854639429377812,1.3030056084314092,1.3137419583249894,1.3784244241143688,1.4069061819952255,1.4527897504065241,1.5069421993042906,1.5152508612889104,1.6438499880899162,1.6131606458792829,1.5576769357069702,1.513853530953532,1.6200094394756719,1.6300157263931632,1.4282897405860566,1.2771776206518666,1.2288731355995837,1.2230431111703117,1.1114319733399105,1.1619083105567307,1.1173625340071482,1.1087915569111169,1.0394230693346325,1.2200766765074331,1.0299623965728884,1.0188778717272486,1.1328603904351762,0.981351527827524,0.9890486015284902,0.9862877473194323,1.018537545451195,1.1351767016703407,1.182528592486627,1.2855888614835485,1.2593578084509995,1.4416399327114715,1.4509765955003258,1.3527602379383858,1.2381178168076232,1.1558710877780425,1.0661481017081589,0.9865905836148531,0.9733798153454679,0.9869491525768476,0.9713279136431725,0.9591959888821308,1.0160839047507924,0.9723838660697174,1.025390535126083,0.9966869898622343,1.1299061517382638,1.029225531104102,1.0129143523013244,1.0665305210330474,0.9950374897985491,1.0501825636370534,1.105130072474744,1.197188580734469,1.2397223601601106,1.2857690655287672,1.2090600265530953,1.2582914625526138,1.2524250955294278,1.209456495356348,1.1477087491321554,1.0940892207348214,1.0669516263321341,1.030917811434563,1.028651572036925,1.3741923236628224,1.9531007159875338,1.2078873030374377,1.145677391091512,1.1296260578679067,1.0930607522055236,1.1798284673059032,1.1011161008325063,1.1154615596313868,1.198584936447317,1.1659212025443781,1.2181078948403175,1.205630110024028,1.1198571562752482,1.0737752424822855,1.0792332042678099,1.05892242824934,1.066770647214282,1.03242939259715,1.0787730153256283,1.1066021058961029,1.1247448517457943,1.1564776604991995,1.1340072183824017,1.1802381676784277,1.3888853001322987,1.2200041468042941,1.2354598912380323,1.1546289562901066,1.0822329301637754,1.0933251623073803,1.090719064311007,1.0780819021056827,1.2165947957285033,1.3092543226026159,1.4333613099443092,1.7968873480464815,1.3703982593512096,1.5821858365535837,1.1924979264944855,1.1141019226111677,1.0681509863252217,1.0124627399190311,1.0135011065680073,0.9886450855899223,0.9752146489817385,0.9569913437851812,0.9876302538592399,0.9937908223290046,1.0289732360387576,0.9690445213407115,0.9599742895180798,1.0331887362823,1.0183505391441414,0.9623160623103334,1.0144586154928086,1.116591652969485,1.0523240174973612,1.0859799461291382,1.1565961239594122,1.1571548637760063,1.2024582640906338,1.2383094884726789,1.1693071518367695,1.2485599976641233,1.1518216933359524,1.119221727497317,1.1489187203699958,1.2077506481752618,2.5232268076396434,1.3245598584676308,1.9264481541012,1.2164079653102855,1.241159003937931,1.2489108595755216,1.4369432792269285,1.1079243427943608,1.0599130825919154,1.314031284047054,1.2068680102302376,1.1583296398101963,1.0629513040775391,1.3019440101050364,1.0339212638519297,1.077719862721976,1.3202539061417076,1.002060054982379,1.0614865778568365,1.1378093139997942,1.2480118069337625,1.320365164779966,1.4496405483054204,1.3511650860524331,1.2771607468967356,1.252110605560652,1.4098693591947944,1.2286054007500582,1.161410436716436,1.3141292363347894,1.3059547744521276,1.1458920395961254,1.2576934656085128,1.3833564883849891,1.315579454884904,1.254184263195386,1.3141417284653605,1.2341207874704585,1.255584587177143,1.2183417938868253,1.21566041815439,1.214685643941826,1.0951160358259655,1.1116283179187905,1.1044682316455976,1.0824647778557686,0.993628333418252,1.02482522716848,1.0741900127782484,1.0462984907055548,0.9994431493367258,1.0733875816670004,1.140708733907704,1.1135644978659847,1.1527192178578707,1.237384374022306,1.484902380473922,1.3308269610937031,1.2133899391553593,1.122245420990397,1.122520665732283,1.298314430101526,1.1688743310761616,1.168689600618451,1.2847009531251947,1.0440362729378125,0.978268186399586,0.9763038918490372,0.9612436408106615,0.9566262326977154,0.9860416986907571,1.0520664554585288,1.3290113676170348,0.9982176529042609,1.0326782084219461,1.1546232019752098,1.0748827859842107,1.0224810270080067,1.2956993345515582,1.6787037252671537,1.738266657546265,2.1552554056080164,3.429598042453024],[0.6615878547213245,0.601861742920217,0.7243115959404085,0.6401356313870562,0.7316591492792961,0.6837359887082926,0.6831992583576141,0.7451234041825292,0.6824226969053644,0.7251144708228636,0.7602568749446813,0.7721921538728544,0.7384056629785025,0.7734497584841391,0.905363341150085,0.8453441518739482,0.8454433218627033,0.8979177077438454,0.9540528400887899,0.9374984931374211,0.9745046672864248,0.9560925820676113,1.0601610358544233,1.1660942405634493,0.937420960327991,0.9434927925418617,0.8884865649451029,0.838119529588267,0.8569237149851382,0.8579118374365807,0.9234283487837989,0.8820015797144286,0.9268919516830278,0.9056089880345448,0.8833661541879637,0.8923916002778542,0.8783398145197754,0.8623848602251121,0.8409150987805118,0.8670773345417334,1.0006544255176322,0.9421590794225768,0.9304497480908914,0.9330058482460994,1.1352344379143358,1.470407887518241,1.2869684366606344,1.2224206549858336,2.3068448623657685,1.834219878901836,1.2350292021305325,1.5996894812105116,1.2270254880150941,1.0924340359027398,1.7600777364042457,1.073227196784736,1.153799639504255,0.9947166428627522,1.1312738710044066,1.2160786752013342,1.0060599677023048,1.159537770928682,1.1425728690986579,1.2303433776552735,1.00955222493271,0.9875607615380826,1.143207200714822,0.9913384137597872,1.1212077519165322,1.0313499544747564,1.2366904124746432,1.6131246453281243,1.254206695231166,1.2412161961637351,1.0216522875212115,1.385619527136801,0.9373532103645904,0.9630714113713081,0.9159785590373603,0.8986338814064215,0.9348639881651881,0.9800640338198807,1.3196879990339552,1.1437850796598596,0.9034599037686907,0.8825739057323132,0.8787910077660884,0.9988853359049537,0.8946173688815657,0.9409900413237688,0.9105545732195882,1.057440532566647,0.991531250591009,0.9393551341743261,0.9212811117577943,1.0092998099274304,1.0377821102939013,0.8633233803132511,0.8460530720609525,1.0291654398466452,0.8688607156973918,0.8819281955611924,0.8584477737509609,0.8617668140245853,0.860559083170319,0.808353798580841,0.9861322223698623,0.797038085837259,0.7825549075285505,0.9191342265398302,0.7343728765077713,0.7085190877898614,0.7185718887452156,0.7530022744001043,0.8158410840324329,0.8271706923617859,0.8392678964841481,0.8317644077975739,0.9219593589043732,0.922786779606086,0.8791242852667335,0.8163857687468695,0.7843776783359708,0.7595834838960774,0.7459067606468303,0.7318681381017899,0.7423411354371529,0.7230067626536967,0.7214617308397056,0.7710227531438397,0.7142977741333035,0.7780940837279141,0.7465893101493919,0.912878299605433,0.7517493889666829,0.739614126766741,0.8249043753768392,0.7170502577429427,0.7583591638767632,0.7709633607327429,0.8585833915337115,0.8752370883066911,0.8530732728992346,0.8180007475546546,0.8315467950612419,0.8460934678187219,0.8260844530886304,0.7806882257786948,0.7694002282903775,0.7490688550635802,0.7817101650802573,0.7976316524731631,1.180632486422743,1.9130060693051976,1.1308439944950455,0.9436055070510868,0.8402584381704429,0.8339898520680391,0.8386870710870488,0.8137750505654083,0.7806998826016642,0.824197425096835,0.7801347751277804,0.8107003650691935,0.8403142996246102,0.7715354491941213,0.7543830384476728,0.7879947224893894,0.8020310020023512,0.8028624377518438,0.7516682378616967,0.7750014185327078,0.7972350039140139,0.788376276860381,0.802382468316996,0.8256228930537578,0.8237962363311581,1.0605891307452846,0.8552185465113632,0.9252808204974522,0.8284745747139464,0.7807940277817927,0.7933576319433504,0.7860273384508224,0.7782897592035454,0.8919451841775837,0.9221389653289059,1.0903988616213613,1.5897976280909327,1.0681381136008044,1.3773650874311303,0.9204149224136325,0.862201685405944,0.8388777888723574,0.7636806425006588,0.746570068890276,0.7033884507493287,0.7362591225128453,0.7115473179093869,0.7639691789588687,0.7289121802341729,0.768798887215075,0.7174357748495865,0.7000466743871882,0.7341058706380149,0.7228486786750786,0.7273375577427201,0.7122458932300828,0.7710833552321585,0.7401299111187288,0.7878014144735633,0.8121348750606957,0.809432504140966,0.942808776951953,0.940823585285043,0.9155194041005843,0.9206105917552183,0.9058413588931125,0.823852477978258,0.8153542509640332,0.8414416853339342,2.335599798824681,1.0260291275093605,1.6962181895738362,0.9188597580236143,0.998385055986235,1.0304821432561662,1.1974401724765857,0.8612620502109443,0.7639632227669578,1.0946691968482274,0.9428877658167383,0.884720296046384,0.7855920850321757,1.0885566730637435,0.8040845635497774,0.8984565656181845,1.1595675473196974,0.7712854115734145,0.8431059924450569,0.9103047963831127,1.0012619664895823,1.106900664913645,1.2190722079525904,1.1547064424389548,1.0629702553093834,0.998664185325122,1.1852033484500486,1.0016333269937912,0.8702659839560438,1.0033282646160167,0.9971850046718918,0.8243639740540024,0.8947783175906494,1.0334214149830605,0.9372703849082877,0.8734916055898178,0.9343078803799737,0.8646849896968098,0.8761093045434347,0.8638270126526827,0.8597096587520165,0.8555408810388229,0.7600607219433712,0.7744331411742222,0.7571875436609333,0.7602016362046473,0.698885502826812,0.7001965423025034,0.7927310730295599,0.7989523148136324,0.7511099895895461,0.8012300539112782,0.9390451573632236,0.9157539003261206,0.991657194512581,1.0908781535931373,1.3739720548743635,1.188596916430808,1.045482214381642,0.919101628874739,0.9012844778597185,1.2018912114756966,1.0425730321155502,1.05697337991967,1.1625329061945424,0.8614799014212492,0.7773058417625559,0.747819122249817,0.7346782370756524,0.7310837851900056,0.7305125245005347,0.7837995154748902,1.1728290921367706,0.7362593156162349,0.7291238667442282,0.8667504319127907,0.8008090731294001,0.7347950362810289,1.0033438268402175,1.5046380501798868,1.62327421095166,2.0931735848024164,3.270086932546524],[0.70078751730156,0.6014866418893692,0.7677108495367977,0.5951248374323136,0.6924397797642073,0.6817014555126469,0.647573753226929,0.7694188270519812,0.6557608490482707,0.6776762624680488,0.7259004220046402,0.8248375248567,0.7656027704279429,0.7150434803532627,0.9183921417572829,0.8961222238395361,0.8360057026971022,0.9149667010813141,0.916262956555092,0.9535914768170373,0.9786202409614034,0.9870548175506885,1.0647855535209434,1.126326332854959,0.9223247577236799,0.9041410314754509,0.8965543377652294,0.8240404347787861,0.8953431294069742,0.9469034940581283,1.001842081494751,1.0310636221574416,1.1268189567632496,1.0785438817108288,1.0380537408763122,0.9952730301612286,1.02455106479297,0.9489788270142416,0.8964278761884038,0.9620500807441876,1.0142662338772421,0.965782982304388,0.9766692228128537,0.9614235851463991,1.1320316405947362,1.4789223524054051,1.2960172943672006,1.255768168077593,2.31416517903766,1.8876806366132168,1.250255663111037,1.6452710631680112,1.2959833865155863,1.156561303944463,1.8109923052036396,1.1611999321834832,1.2272424336759482,1.0847759438915638,1.2272801112486327,1.2808086100576972,1.0588454560791112,1.2288649265506808,1.2274612179205333,1.2515273007356469,1.0528231273998507,1.0473921897673137,1.1559554159402639,1.0288884621613166,1.1024436423743722,1.0134108424217956,1.1782172819457832,1.5416671578889658,1.23130596881722,1.2399524417506425,1.0650488099196818,1.4374986260665255,1.0290188259175914,1.0931773521891088,1.054452324829733,1.0405656080696735,1.0894528360159899,1.0895578761906088,1.4263849520156753,1.2565611071356155,1.0022461332440538,0.9987498861333493,0.9852531533486667,1.1557738159994846,1.0046602615031133,1.0897900702177077,1.0267551522297074,1.1405733562958487,1.105435193767938,1.0767938105445725,1.0231845648796596,1.1141403102972824,1.0718159671863337,1.0267569251384439,0.9938792393181942,1.199346139089769,1.0606913072008768,1.0841852366221327,1.0414613055493198,1.0249863382037436,1.0107252752795928,0.9243807533938438,1.13766175955639,0.9096344088737665,0.864174512378873,1.0287582815938514,0.8131987924210887,0.7709752729106565,0.7303005519035863,0.7263564678489579,0.7731346724270635,0.7495233247274654,0.7704795005948678,0.7429224668862534,0.860706316006708,0.8859421590517743,0.7850256891866223,0.718354309944399,0.6495811626549204,0.640061706978555,0.6364294124498227,0.6620078928897478,0.7418789527340035,0.7333803330077674,0.7663485262933684,0.8475665588357928,0.7549599123048703,0.8726648665347625,0.7974355000969798,0.9863420811694332,0.7818794718756668,0.7532955170896088,0.822734467350907,0.6808444454219003,0.6966675731641836,0.7227796067974189,0.7906414008936113,0.821947242510167,0.8171092467230276,0.7638002792806413,0.8041186258718629,0.8403056408936711,0.7833811551642553,0.8034798459647207,0.8122505958951451,0.7897383748649254,0.8456232051904239,0.8824233608234707,1.2802361758601102,1.872317801223609,1.201964551929234,1.0818122297933268,0.9694553307455945,0.9662405523287917,0.9461196059673961,0.9009280216000694,0.8389071553319216,0.8881756033097201,0.7830404793133193,0.8512681120876949,0.8687154126208853,0.7438317790677865,0.7587494947387061,0.7598519857229206,0.7852233865839667,0.7679629178306968,0.7464622447565756,0.7581650505032744,0.8129078342769432,0.8421565519053464,0.896296996722706,0.9635676100238042,0.9610688684785409,1.2528519790509447,0.9859248865836512,1.071925227455678,0.9151823397980685,0.8684372285333806,0.8722075678773307,0.845344454894964,0.8223511236526759,0.939577738217133,0.966100514072272,1.0978780169951285,1.6152447530878986,1.098055321525382,1.3998038456543347,0.9496596665567523,0.8868697873441825,0.8746992678152105,0.8045505173676092,0.75936626126182,0.7330958956976233,0.7834627369595748,0.7491498760986816,0.828957232593749,0.8043294137477346,0.8569087525070603,0.7724971957946276,0.7172855959169426,0.7927306089432657,0.761636839608333,0.7370208011844029,0.7669110488757062,0.8602631494410679,0.759017247528135,0.7917876540699913,0.8508907835366749,0.8396304601263976,0.913943178252693,0.9574623415564346,0.9218814048683592,0.9595828655574208,0.91907810645152,0.8606111160008072,0.8808971125363653,0.9373414840195889,2.423592041359146,1.095870688859054,1.7171081531119337,0.9890377286959029,1.1435431905690854,1.1614266923759715,1.2866406202629768,1.0025900875770823,0.8673989527026895,1.1543789111387612,0.9838576758308846,0.9514698453027867,0.844025856900549,1.1191268092232132,0.8382812252337903,0.9350180314433063,1.1577039728569918,0.8037853396319562,0.933384298047865,0.9939153375003812,1.0634008596212445,1.2158208990187738,1.3372634913028054,1.2756120859367313,1.1714687372491848,1.1476288392830312,1.349712347703941,1.1325313012937435,0.9802834516799909,1.1268279424188026,1.1125826015299296,0.9290388786217082,1.0310629555551085,1.1869464275217678,1.0277153406887027,0.9762663165377594,1.0510289096367538,0.9814341254764027,1.0070683770317628,0.992788619915967,1.0029058043187264,0.9656370243220823,0.8633480382715786,0.8900945039222476,0.8587939262580536,0.8434604231932169,0.7618710658602124,0.8058929581264738,0.8577514241081391,0.8227531003938569,0.7747337565252576,0.8368316873796425,0.9810158052769081,0.8836222129659093,0.9431956997326351,1.0359827030484432,1.2830655779580058,1.253414480873812,1.0477550079942897,0.890117871122377,0.8654222143249,1.1529191985283491,1.0095657213214186,1.0080650588727995,1.0881754133007484,0.8177458908349928,0.7524398715495555,0.7490845283321617,0.7098159144448074,0.7146123775182968,0.7970881192239995,0.8581488941518477,1.238059539310625,0.7732906078284969,0.766287207671604,0.8828396637025312,0.8462245194683014,0.7624702648587218,1.0225589657025145,1.3773879634354704,1.445577025039371,2.0964039259548755,2.9937866841845353],[0.598095139714265,0.490673433991143,0.6010492721568692,0.5113507314161779,0.5302456770465535,0.470918498118789,0.4242981051440237,0.5009911686197867,0.42969346652440493,0.4223892096781357,0.45798089608811526,0.5165118036280452,0.46562756321453097,0.4735218321187956,0.6319694344493284,0.5984137158748656,0.5718903877991888,0.6543147047433111,0.7029654593675833,0.6782622375460767,0.7417195642892106,0.7385895032877892,0.8587982531717464,1.0345348618340233,0.7078354829547707,0.6965248438265225,0.6500388313466143,0.5805165496334074,0.6089893566138664,0.6301282533274377,0.7065066421595948,0.6927501419997449,0.794495948673572,0.7525832639979135,0.6903614335494568,0.676799287185904,0.672570919961506,0.6246898294333373,0.5778484555984928,0.6046818726002697,0.8124303563614024,0.700756296188995,0.7114011604883353,0.7172123059227705,1.010525194823237,1.3080889896583865,1.1468195741111284,1.0902104999748483,2.110425777916695,1.682638601614059,1.0618392651403454,1.3976057509520563,1.0396315703018961,0.9220093189792524,1.6322969429546539,0.8554981089924676,0.9621250166232094,0.8040737358756299,0.9457006499876071,1.0997717596976015,0.8456224998739647,1.0047280418873723,0.9961970561427153,1.1355562308897917,0.813655323574742,0.8106198623604844,0.9565103261805565,0.7791693934375913,0.9614643118578068,0.8058590694016025,1.0004918195636983,1.4088504009436758,1.082257673074861,1.1149839706004203,0.8348314040496067,1.2919890175249331,0.7528408771211252,0.803781834984332,0.7385994645481745,0.6875080213424458,0.7494321730641791,0.776844530520115,1.1809725998736238,0.9050466314974485,0.6652488983191663,0.63805513501459,0.6474220125333302,0.7882088379450696,0.6894756089303327,0.7741564355416584,0.7182918803642507,0.9304198841052688,0.8119790983043527,0.7594763064617468,0.6999520321107792,0.7800163142555148,0.743642330342072,0.6879446836433707,0.6796251989146476,0.9916250086049206,0.7344958640343323,0.748180788231291,0.694168575467121,0.6887276414165695,0.665364569265246,0.6244710561639091,0.861378407362061,0.5729005026726506,0.5516749970710524,0.7573661186645314,0.4935078373327675,0.4668198625272633,0.4443666492016512,0.48124814694608575,0.5604386349088218,0.532564001761426,0.5740750663214133,0.5837993706179448,0.7060040568216864,0.6985482066050221,0.6270206409820153,0.5484769339346832,0.4998402292149875,0.45334128287034603,0.44567790231355,0.43730983639273857,0.5114479663976265,0.4678088407455096,0.45744796995366205,0.5313790921626632,0.4532983332590843,0.5481225337467839,0.4820313112788493,0.6534750829806193,0.5082344747307836,0.4980452022133777,0.6445587393501098,0.45778244498526566,0.5181765986375612,0.5023444066650455,0.679413608337843,0.7040663969790141,0.6626977663298026,0.5473989293878215,0.5491129625923442,0.5581133104481414,0.543515353111467,0.5124363031001671,0.5146322469838119,0.5056267849479716,0.5793664388044047,0.6265613151442366,1.0917206326537838,1.913575756315747,1.1215214352135519,0.8177004568859707,0.6373819546799379,0.6388693802881804,0.6347253319183621,0.6121968009179759,0.5306445589842692,0.5652191931496249,0.5112808828617669,0.5416557869228465,0.5958602296498148,0.5102474326299761,0.4851002705322448,0.5384173981773416,0.5734010416672175,0.5608142559618922,0.46660971754066144,0.49057755824338756,0.5263639483591321,0.5537841441572094,0.5562375778416383,0.6092346333578443,0.6196519284572019,0.9039000117530365,0.637483448928142,0.6999582161894232,0.5983801445200331,0.5539184585172803,0.558593730070981,0.5400353204321157,0.5385891315632888,0.6484947849596598,0.6609915643872222,0.8488549104910333,1.4880315528561314,0.8393607655038094,1.149481643041721,0.8098428013094141,0.6909380838335032,0.6489778302013604,0.5354390842867507,0.47947923279590804,0.4627581075735964,0.4793492280003787,0.4952433661820094,0.582502293922575,0.5371197943391238,0.591768628861876,0.5125037869034706,0.5271666307811688,0.5732736739307288,0.5690123231266094,0.6257401654470774,0.5953122604935415,0.6801094107083683,0.6314922397891061,0.6995652913724771,0.7345682604925035,0.7234282478109965,0.8575105696212112,0.8707846631326531,0.8671967126440543,0.8841726828595242,0.8485013523615974,0.7506283810943057,0.7528857679824061,0.773753080538123,2.1796514578854103,0.9723458485700058,1.6825164946221043,0.8299385857188415,0.9010965264944693,0.9272315856419532,1.0504876852336162,0.7573163607635508,0.6211289246429618,0.9598474353970968,0.7257482111094841,0.7398466026233907,0.6007044814306369,0.9338680038909849,0.6332249522835731,0.7508342937230842,1.0321868142737913,0.5759532748123838,0.6296664487218,0.7264372909967327,0.8369627035721897,0.973554491110237,1.1232665150800025,1.0411086854036415,0.9441956568655888,0.9295261776649344,1.1117771776201992,0.9246136246699516,0.7784310418951602,0.9345670042034956,0.9435191215375014,0.7410526412338071,0.8282276347490607,1.0008364518366022,0.8901735326260083,0.8207987047651656,0.8809906432013329,0.7934214807142046,0.7973283100823331,0.7750803947683903,0.7646704959626818,0.771144718981898,0.6791873531562069,0.6791104565583871,0.6683385096000172,0.6947333071230345,0.5729647339255083,0.6016035116835626,0.7465698297272358,0.7095174134615244,0.6112831728290774,0.661961584536185,0.9319001739437087,0.8534367858582069,0.8964349845913667,1.0072309809967093,1.3188646066054068,1.2134958522419672,1.033589237377789,0.8415668085421517,0.801229932003454,1.138361790731744,0.9908003603666119,1.0176840923858246,1.1043145223708721,0.7293574263813886,0.6154352514753764,0.5318666274279632,0.507107646418915,0.5296189583302033,0.5369382125311161,0.6593936558338439,1.1371864170944492,0.5338718731382254,0.5863513369489749,0.7548910091949922,0.6307207169657758,0.5756294748236035,0.8628417968519387,1.3760932133065977,1.5516057024013143,2.127970631417423,3.012628027655902],[0.8000748415943714,0.7815011152621744,0.9257415022825276,0.7680700558621023,0.8659507162509682,0.8581617832992121,0.8450537996389172,0.9411526595041461,0.8871270544182943,0.8584371693434799,0.9073905192203777,1.0105221220239295,0.9610741168009147,0.8779565642051335,1.0452605510320783,1.0615465568879998,0.9941643088791913,1.0530399981729728,1.0862486079861486,1.1001864825330623,1.147274323728611,1.1415740967771697,1.2829823249948662,1.3986690765626113,1.082185466272089,1.0553366734486243,1.0518144692668818,0.9566641558713841,1.0305372242278552,1.0619494014500646,1.1279867143676412,1.1326770180934833,1.24734992546704,1.2244168446381825,1.172446148261136,1.116056970228688,1.1029741589028315,1.076280548146778,1.0282561335966702,1.0504561581277658,1.1351512484154165,1.1447698635613568,1.1615521472060444,1.1367790368750585,1.4846552243771085,1.6418959992031148,1.564287970153563,1.5065895342025235,2.2096966132318525,1.725319160243831,1.382130171986582,1.541971148604312,1.5160172916855534,1.3274919496592306,1.9853272991597692,1.2582711196115761,1.3090169894266823,1.2549545552972596,1.3767373462716714,1.380388462336684,1.229107191917594,1.394702806861613,1.391636070335772,1.528775950847044,1.2428852333581737,1.2030251270387478,1.335812814349102,1.2165357678238802,1.2734775538009184,1.1504468250951865,1.2417389428210779,1.5557525909719931,1.332036118463878,1.3946981789749582,1.2450172038551883,1.5107781745807964,1.2017376699531432,1.2285572882711981,1.2177268104093568,1.1662643065719926,1.195044553093156,1.208848095324969,1.4505848148899616,1.2046171905210241,1.088239211498293,1.0927095695437918,1.0977479181586984,1.2377872027788184,1.1522699499585987,1.2460470617236377,1.1986562560569227,1.2879635156079952,1.2388963829070267,1.206120490888674,1.147745411190844,1.1799180503773257,1.1120937609563268,1.1478414641914034,1.1444329739742614,1.364244967731479,1.191088326072352,1.2321221097566548,1.1787664423183724,1.1479993459026416,1.1112908589797426,1.0459249092545992,1.2677024399325774,1.0101281156518163,0.9650792513485776,1.1602127448647421,0.9412765119544702,0.9353729237280594,0.8954120579026129,0.8959962087304092,0.9797364226054067,0.8453648794727441,0.8716191106826111,0.8696347459825011,1.0256539384208894,0.9954426864776204,0.9499293353030299,0.8754348115285278,0.7847452625479882,0.7614021723429223,0.8019223092600827,0.8187583731340363,0.8330663210670367,0.8631321466878101,0.8953990316837239,0.95340433102318,0.8887274791595413,0.9835995366811815,0.9012065063824779,1.0455479398534933,0.8897105399669852,0.8662546045359788,0.890505125568778,0.7852612233188677,0.7772061893676624,0.8108668690473585,0.9004009536457696,0.9685862603443003,0.9549337259987267,0.8734477978742445,0.9333823123564644,0.9880937193133476,0.9026694480935579,0.9627500259755944,0.9817284420320406,0.9556780051159798,1.0300265154957462,1.0514025444528363,1.4345248140143811,2.092469829284515,1.4298278074450093,1.2422258788034035,1.110311424622827,1.1020269458888252,1.098404015189207,1.077376539873214,0.9778655633254433,1.0283844214921598,0.9084671315977841,0.9780408897653695,0.9501856895204185,0.8444728021012505,0.8824777474605339,0.8690824498105221,0.8623467531478477,0.8380198845687503,0.8263755734281777,0.8283737838972985,0.9462534225968976,0.995363113519395,1.0320537978009352,1.10172399345592,1.101350326265318,1.3117872562333466,1.1045854721690498,1.1991463310456854,1.0452409897828059,1.029309395289599,1.0237705989757784,1.0091014734965142,0.9601134852413308,1.1014870369362366,1.0802381478873055,1.2208168730658626,1.523386808885765,1.065242246522725,1.58502109588832,0.9215354445434684,0.9407502593697143,0.9393621295776013,0.9036954303090701,0.8865415308689917,0.8326655981343861,0.9079685478961976,0.936834126641713,1.0372645508516383,0.9794086976000129,1.0257487118512223,0.9689726249080486,0.9631502713822744,1.0102616384372118,1.0009328062324314,0.9772251424123268,0.9830933322937183,1.0826091529364603,0.985013216174268,0.9985242269548597,1.034099555221146,1.023034547641083,1.0920645274011473,1.0820168095720928,1.096312503499747,1.1507054826160796,1.095209303806763,1.0280399805086058,1.0707030945458216,1.080281107158453,2.293204629483088,1.318718581799881,1.9786302396433455,1.209917924925865,1.312737751495209,1.3523810189402645,1.4162752975989372,1.1700292345844583,1.04936643716963,1.3290161474366378,1.095184378079152,1.019056194408941,0.9766810526315363,1.227765652323812,1.013491635944748,1.1284427978705864,1.3068408640321072,0.9849303010805485,1.0496638634822106,1.145369999232779,1.213833967913998,1.3359053936274405,1.4551936703805803,1.4207735879398093,1.3212809888926413,1.338312913735371,1.489823579375567,1.326397392921743,1.1797392619981373,1.2962227925656933,1.2944738022483009,1.1497825190599151,1.1985844835635109,1.3142949954656218,1.2019943236248816,1.15940907833446,1.2312446580673135,1.1524469136380082,1.1737851191628046,1.1489059111681632,1.156229997067028,1.1603175256717173,1.0522734723398521,1.044545493302271,1.0232641944418153,1.0141372022820927,0.9543585342677664,0.9843877072229128,1.0183414861547249,0.9809086858615762,0.9751868767621258,0.9809635943992436,1.1771966683786863,1.1022220919069883,1.1291338919405878,1.2212768344321243,1.4004901810184915,1.4019816304376067,1.2062428194087085,1.0791954335362433,1.037277236180794,1.2772028246622602,1.19475720519249,1.2296216137345897,1.3262996248758183,1.0532778437965347,0.978559290252321,0.9646884816970038,0.9359102190054002,0.9721690591454027,0.9712302229385326,1.090710726339272,1.4273457473682714,0.9835719070426306,1.0063248849610709,1.1373944379479906,1.0292026113841743,0.9817965324100153,1.1366804921043765,1.5407403553292711,1.7008367963724023,2.343878511540001,3.133202148832357],[0.5317316765568678,0.4610204385575629,0.553897488862992,0.4218798876535672,0.44585282525381664,0.4585201998631589,0.3534265430502045,0.5025148092747845,0.3793343477460457,0.36253509903446507,0.4051777035268316,0.5031199836635165,0.42993439246170706,0.40343985361618795,0.5696996339153529,0.5562519561132035,0.5022882912605636,0.6110297266999614,0.6578401271403228,0.6304278551721368,0.7057301382883786,0.7000048592039708,0.835689102826675,1.0477559083293888,0.6821164534603475,0.6664065700044055,0.59394690813779,0.5198285601186158,0.5544224813457832,0.5841608457873887,0.6839357723716185,0.6649108805576027,0.793448528738712,0.747885777705941,0.6623328126791567,0.6507764237953816,0.635916865619032,0.567834658587196,0.5207108092377193,0.551877349390435,0.8061398289903517,0.6470306402856228,0.6609885168685529,0.6883185281620163,0.9898511804611597,1.311836391913885,1.173703215306371,1.0203510534126665,2.079210095890924,1.7284960090654786,1.047695219121059,1.4042411722999026,0.9882555870997703,0.914035646017084,1.6079694972732308,0.799220481853554,0.8997641816478711,0.7711002127979733,0.9102509377745719,1.08440795696728,0.8177600174053856,0.9686735530154571,0.962411070924384,1.1341044842498689,0.7846276593957223,0.7748748363175998,0.935187526484801,0.7337092430334389,0.958029205054496,0.7636341833117187,0.948227405251264,1.3380194155302763,1.0356684646543846,1.1230175742850266,0.8200072320183684,1.346284164246731,0.7408567292315775,0.7979273882668246,0.723686622419095,0.6647613988040464,0.711712258969366,0.7320590473179126,1.1702578071987932,0.853780041935503,0.6470913863532591,0.6027178483065878,0.5919868696983073,0.7598307129520581,0.6629020990638931,0.7724782684014025,0.706430544163676,0.9569175388004085,0.812017300607357,0.7690541187194635,0.6894144495469826,0.7696416360494026,0.7048361223617678,0.6814345845481592,0.6630754617744649,0.9810362649700292,0.7227608449951608,0.728518752577363,0.6669129026781131,0.6680776075295729,0.6385819550765074,0.5723271878383143,0.8205021958808482,0.5621943196187591,0.593313669134013,0.7930260811793843,0.5115273522740713,0.44756649597558257,0.403271148024731,0.4219936613075799,0.4801788699248463,0.4569518098978816,0.506659902733291,0.5150332924153895,0.6732660154156578,0.6382493496612504,0.5517410844752103,0.477644711374397,0.4474745809378615,0.4006817662180815,0.3686986294541446,0.4009586515735238,0.4761564037632318,0.4509890309739826,0.4530025727824916,0.5016098487724329,0.42891793719722854,0.514130976504167,0.45538541175411146,0.6252897354508665,0.5014945969259332,0.5026309753687841,0.6889106699440724,0.44238029471529805,0.4743492881805013,0.46042921178842444,0.6422950855304069,0.6652996521114931,0.6016719794015866,0.4728663268502207,0.47543081524741504,0.49336791406177183,0.46350902797727345,0.45867353058828825,0.4632370411741643,0.48095055731409725,0.5900505184895859,0.6606847367975454,1.124081374893245,1.8791158341522909,1.1176977888263078,0.8293317759475153,0.6286242999794452,0.6343564920813983,0.5920041407976212,0.5828197784679994,0.4772746730173022,0.5062808138230735,0.45802899411152137,0.48873484401483386,0.5615942937320734,0.4868780753117584,0.48001820066770373,0.5780638076485856,0.6317458667617125,0.6057880995222146,0.48768090674760073,0.47961447391432716,0.49556915752444514,0.49083136028914404,0.4979730643343167,0.5693006365540468,0.5795741832003345,0.8751600555285814,0.5945240505556489,0.6555532099987832,0.5359681978969427,0.5065666619671473,0.507568833183296,0.484383169675498,0.4921823967987794,0.5840922195902383,0.6277301986198536,0.780412731911451,1.5717077396547123,0.8728980850686942,1.0832354907049286,0.8471785315931972,0.7336079171342126,0.6812269147242951,0.5157469013847269,0.4544515606942228,0.44663066453346234,0.4551789016204868,0.46597216882459996,0.5538844829209024,0.5173646439159255,0.5757622798649723,0.4891480738701317,0.4999006856721472,0.5786614366494174,0.5655912820979231,0.592473713107639,0.597811477394682,0.7082445114330868,0.6138395194099496,0.679533253692095,0.7229918137619994,0.6979229258100335,0.807466308282669,0.8652860601622478,0.8534835619406259,0.8938377301279141,0.8534821231954156,0.7583535970334903,0.7943603902710376,0.8439988190366293,2.1322403123395492,1.0378300103571942,1.665672179861333,0.8515789999085867,0.9617755132655097,0.9875312863709649,1.0497176604658578,0.8297030796000092,0.6462302964861706,0.9818352520594156,0.7119809327279992,0.759636565688054,0.6167132589504558,0.8940050988356689,0.6778456579832881,0.7833641534249678,0.9950634686998235,0.5531034096282549,0.6001536617756786,0.7235831065732038,0.8460405299663913,0.9940813730538796,1.1662416519087333,1.0867196486927229,0.982251617470916,0.9815065503953413,1.1870678630908404,0.9823442095544546,0.8328421297041485,1.0196191381317867,1.0405089700759187,0.800567245672529,0.9207917875002851,1.1249300685766095,0.9627408012763926,0.8610126093988774,0.9355009119950007,0.8507897042542854,0.8727717747411925,0.8492268633722818,0.8376849654624188,0.8450870276402055,0.7205743479804804,0.7196272376800743,0.7152896560203055,0.7132996894115481,0.5904350838250244,0.6393773724021021,0.7848595910171058,0.7176184613905677,0.6571355789780069,0.6925027726137621,1.0066910333660974,0.8690710731152028,0.89867238796565,1.0243476638859115,1.2592144128992648,1.269218013933244,1.0253547799133524,0.8179532913194251,0.73622008637965,1.091229840616448,0.988632936338598,1.0213309306914173,1.0973397738833282,0.7199590291609248,0.5861330907092468,0.4977586690741575,0.461641384947396,0.45829416474345863,0.5525524756859408,0.6829194157690751,1.121933955238785,0.5305101657796857,0.5803018749553676,0.7405937778944408,0.6933486841861171,0.5667416659719754,0.7320313177430741,1.1355216072032757,1.3722125066796604,2.228495218247411,2.9933630294080364],[0.527597382587489,0.44629517458478696,0.5072022673186574,0.42601927799994205,0.4409060083709295,0.4313194335367906,0.3440811438587753,0.44686216422356256,0.35787600057577773,0.3514747754098559,0.40025732465273656,0.492188415904811,0.4214980598457834,0.4041527192303185,0.5572688661591026,0.5490785925263563,0.5258538665235042,0.6298358480544987,0.7071703725042684,0.6671275275490748,0.7834804104652973,0.7705561361515912,0.9634565346775873,1.1797445828648125,0.741446119229831,0.7246045342020009,0.6184769859296416,0.5409020887031486,0.5651009289912283,0.5693371619175928,0.6723586460162894,0.6369410142101248,0.8034860685209436,0.7336242494670849,0.6495883225655475,0.649057989289351,0.61519325777421,0.5821918792959858,0.5368719057894993,0.5537909826388582,0.8307693160218101,0.703202469249492,0.715070669167616,0.7208392066074533,1.1008419814148345,1.3068844824234895,1.2661965799929518,1.0687905977410175,2.0034796230346923,1.601091893971585,1.0513799024146158,1.3732062258715938,1.017739659640846,0.923577513167755,1.6409282971115513,0.8342445085479449,0.890291374332316,0.8452618750272987,0.9553867653745958,1.1113979995423362,0.861864219892636,0.9585180789463615,0.9431608927027686,1.212136664455578,0.8367856141444945,0.8070809496223111,1.0131962336819975,0.786637666125446,1.0353224357070727,0.8063200661040227,0.9697317908609081,1.3409171265976298,1.028663880957681,1.1707145101249739,0.8412999176399004,1.39731077331926,0.7737424969294366,0.8067448168556683,0.7267779509612484,0.6836088838964824,0.7131211288125116,0.739790460806577,1.150127826509074,0.7774018018093759,0.6343816115208807,0.5825079179539145,0.6009962492579941,0.7165566046036366,0.6683141345175434,0.7480690412404843,0.7139314598779184,0.9622991684103781,0.8125874207932845,0.764777312361721,0.6814244638118053,0.7530599723467678,0.6633160769668276,0.6565039365809179,0.6275674136446953,0.964055037666647,0.6809743553136139,0.6950511784717326,0.6287596475908139,0.6254415680572883,0.58796217477089,0.5239567193449515,0.7669104337693498,0.4923737457783647,0.5106828921803142,0.7436835619853439,0.44596941744351987,0.40234368565742873,0.37129803075006473,0.3957935480362019,0.47965088643908993,0.4566238502709904,0.5161476351522242,0.5516815975056097,0.7371883753780809,0.6634474793632378,0.594542048307234,0.5106986951180715,0.4824647019621966,0.4078809922591656,0.35576302293313034,0.37734092380392165,0.4709955285222126,0.4034285703567754,0.4114253853932486,0.4473480646097307,0.38106373118890663,0.45984838500561437,0.39655667263590283,0.5647882322498883,0.44229068117855624,0.45532404395612425,0.6533247615987723,0.4207455444816621,0.4659661171125722,0.4585374087173657,0.6724953694124229,0.7277046796156741,0.6510315888667587,0.4916091943438327,0.5051394564803047,0.504800392213535,0.4667076571265057,0.42733810447308385,0.42952053805932333,0.43413852725306473,0.5358147401551103,0.6143340610530404,1.0704974036087984,1.9222984959018998,1.1278298012660346,0.7819725461096,0.5789128439659585,0.5857881691606751,0.5456571436887451,0.5316552669946785,0.4310343368514384,0.4799870909077225,0.444183784122341,0.47654378494761884,0.5357720700917099,0.48886140774228726,0.4498982653479246,0.5743261790767052,0.6026810801894759,0.5801635728636597,0.4600913602086881,0.45536571512299434,0.46395097887932146,0.4588651391259011,0.45988757329368535,0.5272442606915686,0.5525098123324076,0.8525721618714043,0.5617909161456196,0.6137373336066694,0.5148918143913793,0.45304842526277567,0.45534856627451137,0.4449518723847793,0.4634697671917304,0.5934652489659179,0.6479263158708852,0.8227626431004069,1.617224744620829,0.8616730936374478,1.1230039274791273,0.8635823967973228,0.6971672184733728,0.6344867113484736,0.4826654684689012,0.4255297604705224,0.43304908523181596,0.41356129143645964,0.43743465027298417,0.5240819975041999,0.4795062446878736,0.5388838804164178,0.45044540436036506,0.4811060496274613,0.552738895432318,0.5473615167149543,0.58739265508405,0.5789424872755756,0.6935806668717225,0.6014711184901104,0.6612925175564202,0.7161249263103863,0.6942630852521223,0.7943882352925841,0.8505014803222588,0.8317297948578377,0.9020948192842168,0.8436047146368505,0.7462569920116078,0.785240007472971,0.827262739745967,2.0799871390545976,1.0201672252492378,1.6586272845051433,0.8310937922868915,0.9254052346917043,0.9473887394596329,1.0197931795652655,0.7986657356258876,0.6167952639772459,0.9571247828439787,0.6839103209811089,0.7328706803517377,0.5910801305826645,0.8884692752234774,0.6625281863310836,0.7603535729382982,1.012558984460494,0.5187789683618148,0.5571252746560719,0.6931303442384724,0.8122310809345236,0.963237729324051,1.1223389857619082,1.047952488459458,0.9413357807360107,0.9420518632268201,1.1485335264916807,0.9433936191291468,0.8034506149499826,0.990787203593988,1.0168069110340467,0.7861078116678585,0.9035715338624567,1.1099315584366758,0.9658195918317312,0.8571758198545919,0.9274433267920722,0.83813302326144,0.8553238745180142,0.825575678489102,0.8093469368152915,0.8231378111102059,0.7019509814191313,0.699458335886895,0.6940061620630107,0.7040667927757848,0.5695147792506948,0.6172859330754973,0.7786590354369102,0.7130085121500961,0.6508138832530009,0.6708182315278912,1.0068994414025911,0.8765122630533017,0.897020133101076,1.0280716146687807,1.2587891611251083,1.2526916576182687,1.0108754868622682,0.8030432297052119,0.7020294738754091,1.0575966220979947,0.9603347739338065,1.0062299101020766,1.097212138014142,0.7010387857477195,0.5686251090188736,0.4755225403500153,0.44486598011234785,0.4381492252599128,0.5037129446066075,0.6370848143285447,1.1079448106372876,0.4924757483766372,0.5547614084529503,0.7208313505223947,0.6632958100416687,0.5457695916468316,0.7170911068503708,1.1730330874106298,1.4259596615370245,2.193315101428723,2.957810149724147],[0.5477049770792125,0.46852761004230103,0.5234659448563721,0.41866290768177145,0.4429151497486335,0.4533458929860613,0.3460198237883239,0.4696821035989697,0.36855597550155544,0.31853491719191046,0.36110419927470544,0.4479089646069917,0.37231148848796336,0.35518697831775214,0.4986393823928804,0.48243478222734354,0.4565384894754211,0.5626403627400489,0.639782833148552,0.5956130952908267,0.7097809407426106,0.6971819813094389,0.878414514017144,1.1144923824283908,0.6802266823703772,0.6657032253247275,0.5541329720772993,0.47785386832343657,0.4932848113929064,0.5019165993035437,0.6071020629791299,0.5738816875645834,0.742041233881335,0.6638614641475825,0.5789088879687311,0.5696437112566084,0.5432383372128808,0.4994965369806968,0.4702972988693263,0.47777512755513446,0.8210416254441679,0.6469494745402742,0.6553258721129547,0.6865873603049777,1.0384781058678378,1.3325948034980768,1.2382267449857844,1.0136862000222582,2.0404866632541863,1.7397758446644407,1.0074071173766033,1.3900760322800516,0.9191719091944849,0.8509680285234837,1.5637535954003756,0.745851272791615,0.8391743929976979,0.7637331028582793,0.8719058036938078,1.0911858035754347,0.8015100137558006,0.8752991056176274,0.8537297148307884,1.1144672435272682,0.7676392537617645,0.7317242918696372,0.9429852295754805,0.7103247819061796,0.9804351616154088,0.7544959648371719,0.926380325795562,1.2821468524588435,0.9752524464201323,1.1226551877248632,0.7648253963337233,1.3673322414498115,0.6738209379960903,0.7246788136621454,0.639173089345528,0.5996410717200817,0.6240809283223795,0.6469798319171212,1.1061391016172073,0.6998083652607807,0.5826150834043577,0.5072493408467348,0.51216726168533,0.6673407221224102,0.584237636522777,0.6833219592309037,0.636591336394887,0.9118622401609259,0.7496032549510414,0.6980328786590236,0.6168334678655553,0.7031942410494191,0.6247554334027212,0.6018393363714072,0.5868440393953789,0.9258035077818838,0.633982360465389,0.644668731070252,0.5761003315174624,0.5759048367548509,0.541922175495481,0.5057588256813592,0.7692497683115433,0.5070488460625904,0.5622014026671397,0.7733176238394639,0.48218423924503595,0.3985183152473091,0.3741522598479376,0.3848737643011907,0.4393628683971398,0.4193771901038454,0.47210745434240087,0.5019980444002803,0.6781389634921293,0.6055671390994246,0.5284654678577894,0.45277303134209246,0.446056247473821,0.3855702116157667,0.34993737114319656,0.3940324710896447,0.45794408893168315,0.41626307473470653,0.41545624002061615,0.4342256690148197,0.40046693757333224,0.4606339504623784,0.41661073637565893,0.5513719599396206,0.4596701720457534,0.4827219453381586,0.712061557578425,0.4518203444423117,0.46423209405798926,0.43767842283106223,0.6698857277683637,0.697355551764686,0.591007766973628,0.4403648289954623,0.4434731187419085,0.45254158961687396,0.41284852683228934,0.3993393311621377,0.3995464616186727,0.42766207305534115,0.5419650024665975,0.6273286423628792,1.0600066956042427,1.8702733355571046,1.1236292648464017,0.7500557805328217,0.5445437651923528,0.5537420755126287,0.5012397181314249,0.5160406746448033,0.41812612009509276,0.4279020933772057,0.3999099267491244,0.41728060993025007,0.5002150424847946,0.47828381898518024,0.46633123568343643,0.6093197915454683,0.6479692200816846,0.6172862595942851,0.4825853874250187,0.4589307481930997,0.4531977076157923,0.4269695660029827,0.407882880893962,0.4779642001682987,0.4895203462774614,0.7849022265029366,0.5051727275687679,0.5454538130985583,0.4597361825532587,0.4322210476061192,0.4385921196329022,0.43331241943251136,0.458193717167828,0.5567357848571001,0.6107857339905256,0.7378161003880958,1.6670042487384429,0.8563573011989144,1.0697493512588299,0.8809919573260054,0.7381516768034727,0.6801627560348428,0.5197647907629239,0.456651417022268,0.4675149514850789,0.4349976868451721,0.46348518126453686,0.5290069019892728,0.5021587319824035,0.5496468979137308,0.47171992486066666,0.5060982103345404,0.585912496831316,0.581337970624576,0.6006436991894195,0.6197113505889751,0.731448300534689,0.6363725455179127,0.6930621661275431,0.7519721176944603,0.729499355580142,0.8078170309490014,0.8791111300627996,0.8511693131404441,0.9341001479876375,0.8665877265918368,0.7806283926736954,0.8329085367600392,0.8856087551325037,2.0234439772723607,1.0322050549294477,1.6233032661165334,0.8614670403035289,0.9376876239371956,0.9599014780542674,1.0079709040406724,0.8528306218615734,0.6564447694566828,0.9716870315037345,0.7077267744235347,0.79453083857294,0.6488095739030837,0.8855612865728728,0.738833534845952,0.8101901120145529,1.0188285486401898,0.5537969042305739,0.5735780395267732,0.6856129786818596,0.8176143747072034,0.9537788945765127,1.142978225532048,1.0602828819061814,0.9525683589523787,0.9577859683800665,1.15191593377939,0.9674773138167588,0.8393890437944913,1.026589131999123,1.0635878370590885,0.8296011444848002,0.9579813577489565,1.1645991815082042,1.030181822245387,0.9083829829092916,0.972101449777046,0.8836110243313589,0.9045318252631933,0.8756018127482544,0.8513905282527808,0.8636182431670087,0.7506199253004957,0.7476608231372681,0.7537291567324849,0.7641042745340013,0.6179886783922286,0.6636712515424671,0.8439497487437803,0.7604176990427877,0.7093325234050366,0.7304366654959011,1.0572051015766757,0.9128726455604551,0.9260359144098446,1.0634264282162094,1.279823995235512,1.2887758715069646,1.0367890595571376,0.8184478271285129,0.7085509538137715,1.061934908125999,0.992503213184627,1.0396860074395433,1.1267096682938462,0.7180522729016104,0.5808004708530055,0.4929287076102611,0.4648309758360234,0.43788634799271603,0.5529177241617231,0.6700188520065744,1.1114930046692448,0.5298796512174107,0.5945631317693717,0.7487734475404014,0.726431281554967,0.5475626695443219,0.7048632054904077,1.1151938261099117,1.4090053737245052,2.2413874672619443,2.9504119486814706],[0.5453148689253519,0.4715314116913622,0.5451511865525706,0.4522506025568974,0.4857858464691858,0.47664321461143877,0.35474930404332466,0.47744073710504836,0.37033836997144476,0.34518958200627936,0.38066973000647913,0.4520140560138621,0.38547187506728714,0.4001485969787881,0.5342860482752403,0.5092695584052231,0.4909693327903554,0.5861896932631012,0.6766045739533486,0.616488146436935,0.7286333797027564,0.7094777129263061,0.8904810097777802,1.1120303338045188,0.6946933287362085,0.6960156128499437,0.5794756347200869,0.5085876199385388,0.5154818420357977,0.5080336517816145,0.6055398813915986,0.5804199798928092,0.7224967044059858,0.6543252396926323,0.5687653602866294,0.5687472807966031,0.5446777294625899,0.5082937027594111,0.4741564175939195,0.47102687480409894,0.8482641338788488,0.6856178110038174,0.6763574292363557,0.7409808445065778,1.1186262355182819,1.4726428933075257,1.3256974265356034,1.0472657121084106,2.1311380043808734,1.9013841637527007,1.0906089258058382,1.4400442532896875,0.9447997125919504,0.876424423125783,1.6060799023677137,0.7521541927987172,0.829166685301512,0.7819541201468702,0.874407942127747,1.1022107070083091,0.8033022531525288,0.8596484065657783,0.824030998553378,1.1101232069120084,0.8070193356281883,0.7111582534476755,0.9595583821117754,0.716863014807369,1.0049569760829402,0.7644747430898068,0.9772274767413011,1.2907851077863084,0.9702951383488868,1.1120200384019099,0.7732687367229139,1.368645965269438,0.6687278619545464,0.6999180473923514,0.6235330538357995,0.6038305528445015,0.6128713755242123,0.6291185673382704,1.0949470405999115,0.6871898370164936,0.5673136127025252,0.5029835007980126,0.517399695382951,0.6661871602560753,0.588894922111013,0.668688792864864,0.6317762631409058,0.8883046259234632,0.7353190472004913,0.6874994683636989,0.6187682580439366,0.701996120468338,0.6421720739851177,0.6073628765338062,0.5922197603289674,0.9326688609923345,0.6327687946771146,0.6600722282484598,0.5739032106694356,0.579740022038458,0.5515831779448078,0.5045061066379185,0.7784979602662552,0.5134387917071537,0.5819111896528313,0.7820877817318763,0.5040164546880822,0.40079473435559343,0.3820709256828913,0.3791394235536976,0.43399323122560196,0.4729233170775653,0.5094235577975607,0.5499974697437503,0.7250383581677492,0.615722282862978,0.5653256647737295,0.492122314388922,0.5237352847271113,0.42438451996773674,0.37359031402011594,0.42070333754525685,0.4642937013751184,0.4473072326478576,0.426700021290391,0.4330175064225158,0.416490689502673,0.48444250569342734,0.4204603721984644,0.5468283853493232,0.46151819398365096,0.4760444365184299,0.7048266071515968,0.4346355337301131,0.4781053296524149,0.4786321094346246,0.7036276259547849,0.7258483372821563,0.6272120099142414,0.4846627116868206,0.4816076837612795,0.479935578385582,0.4491827219596826,0.41610844687238985,0.4019228618770086,0.4383220669884774,0.5505823572408243,0.6231320589389943,1.0718733178937985,1.8262057981674649,1.1181833806790082,0.7597629021263813,0.5501815567886015,0.5625913866914168,0.5008797063217592,0.5227679891602345,0.43009686239053424,0.4518375679635365,0.4344448794895979,0.434472264329004,0.488115662931489,0.4966140183085475,0.493234797181082,0.6263149880830975,0.6447865392329148,0.6246499867541772,0.4909559422103326,0.4537116811343341,0.4393789497100732,0.44291155477605865,0.42994135166503844,0.48177708328542834,0.4876595056757752,0.7748643524894508,0.5137982360647755,0.5662530605426311,0.5023553394875706,0.4401620306369169,0.45053557357518464,0.43924614365244663,0.45831989646956933,0.5674204652867795,0.6325398165670102,0.7104588377840958,1.6809886838095065,0.8381209734859216,1.1046757336793198,0.8264510371692652,0.7160977970452329,0.6569268050839374,0.5127704503331425,0.4646293284747467,0.48077870283679763,0.4640466892401904,0.4970450509986003,0.560036691224784,0.5366332132814856,0.5779213389090831,0.498107195878669,0.5468176400027838,0.6195614913610382,0.606726463446044,0.6454430031858517,0.6620985188852835,0.7713955645071623,0.6613646365512487,0.7225473842646337,0.7969191778026503,0.7696651543978651,0.8164936153388201,0.9129979760468393,0.8791725513540893,0.9921464447220022,0.9051476658621215,0.8222736453779894,0.8824682926226974,0.944183556217689,1.9771712392789529,1.103643499663722,1.6570818758849302,0.9155947221949111,0.9822636498630422,0.9852814069114435,1.0117528042225394,0.8978263181793265,0.698721771562778,0.9994246760316061,0.7214351167844901,0.8251164462700178,0.6926162058464518,0.9111722919223941,0.7967936796296449,0.8559650002454711,1.0590277006877888,0.6016736330139739,0.6069313677422276,0.7000651670937671,0.8260589946615522,0.9623316297087604,1.196427951426009,1.0857746041949545,0.966299455299397,1.0024033789127915,1.192914007404757,1.0072354143758218,0.8765685746241492,1.0732688387514226,1.1109201780087175,0.8760582673061665,1.0283026389555798,1.2373772626236372,1.1017221339759407,0.9727311608291589,1.0475462371012751,0.9487461268883963,0.9716000664332177,0.9304635613155189,0.9113898101135809,0.9248641410765381,0.7997311078418724,0.8008532769000156,0.8085503148719915,0.8085823750839717,0.6665937959314057,0.7188766290993007,0.8967761454531401,0.7928262571290349,0.7486742787468549,0.7731632211219611,1.1156497374704148,0.957702245972802,0.9662942409810309,1.1018753827774628,1.2778892562723476,1.3418031075769685,1.065251452364135,0.8362949741204386,0.7240260366102902,1.0909082784599446,1.0486163836914488,1.102252284074574,1.1746208643861171,0.7820897258836791,0.6361522734315661,0.5256576495465581,0.4997703977281828,0.4848517834827347,0.5692427153787329,0.7014998674390253,1.1066983208110666,0.5403561793493918,0.601285754993953,0.7576583953058961,0.7620843419548513,0.5611379619403961,0.6756690577794604,1.0003906448725686,1.3388890324725533,2.333513010930293,3.0845315812193443],[0.48341839288463795,0.4128205849352385,0.4617397143076128,0.47694710351518754,0.4575334924921984,0.4488715734710391,0.3243057985341031,0.4282609136228545,0.36410814414697057,0.38070182453823687,0.42704351106132565,0.513527356832855,0.43690410905900373,0.454345672106254,0.5787039927077247,0.5501325541474941,0.5426017020410239,0.6203890262837672,0.7034368411602281,0.6604954699100902,0.7507591407178827,0.7468811564106497,0.9239611195935372,1.1623010529057363,0.7378071052481682,0.7365977930943045,0.6253274652463441,0.5582510658908141,0.5642492358190453,0.5523707807989596,0.6456908194784416,0.6062364414299464,0.7512440695967044,0.68195591498952,0.5962053164999166,0.6109378594893423,0.5746215338499767,0.5597030111700437,0.5314617331400634,0.5322283256691028,0.8981887000168285,0.7272187786837566,0.7275990751492946,0.7840083587016118,1.1741340339944701,1.5188773296334264,1.414093911560983,1.0535195121191079,2.1015703356720365,1.9298728871775432,1.1161171255982034,1.4557284414080687,0.9441960737073279,0.9267693253575543,1.6007585176552377,0.7613078817281687,0.8395357497260756,0.8193943560735475,0.8873497707033985,1.1495922643661887,0.8455678665309264,0.8926398342476674,0.8436455723471871,1.1368444914845064,0.8458694563636527,0.748079722337156,0.9557907329470071,0.7481304649725606,1.0249995492527422,0.8093263058458989,0.9766872104978143,1.2454808777086694,0.9855054546672511,1.1379242366262416,0.8078921641213838,1.4235461380863859,0.7151578455924682,0.7378105090784295,0.6716384269170833,0.6436553173030041,0.6600107672106316,0.6744737727680589,1.1084679509566555,0.6253098531717394,0.5928490388261617,0.5421420147335684,0.5677681294749437,0.6892655136493359,0.6370807179453518,0.7145586718294707,0.6815102142746748,0.9493352463728709,0.781883873771796,0.727382008145631,0.6596443857891411,0.7483498943060788,0.663289728600599,0.6350644312728021,0.6045021364309469,0.9177483402932509,0.6384748465434337,0.6462605385106358,0.5769778680609332,0.5713114082789835,0.5203672031899323,0.5035357439808118,0.7266019048375901,0.4535688853982029,0.5096589877355788,0.7212842658059234,0.452550035502718,0.3953629753844793,0.37493453008684524,0.41018856964319556,0.462262418246472,0.5066399318311278,0.5507857916893303,0.5897182980842736,0.790023989748832,0.659722143427242,0.6111482704596278,0.5313899188441783,0.5718917334423134,0.4691492779368295,0.407338160274211,0.44827037553779575,0.4316153523809043,0.42805506286347295,0.4163606271290767,0.41035861944833235,0.39396009157081263,0.4480101941662372,0.40547016646040857,0.5037252919507115,0.4281293106963949,0.4603589712808203,0.7268700539057881,0.4517255239595601,0.48974597655228147,0.505955772836373,0.7354856617291267,0.7825967758514972,0.670792376517166,0.5186768797401684,0.5338968869516916,0.5207701117389499,0.47686321771747203,0.429980196221789,0.42201487882364286,0.4547821440511106,0.5309021927035076,0.6291332483600739,1.045487892819952,1.8609371563171269,1.1836561063372282,0.7457228515739985,0.557119404167259,0.5666900991820937,0.5137899214207152,0.5403546295594743,0.43620711857651245,0.46039956973483126,0.45459246864586544,0.4572673975785257,0.48525537477322134,0.5298618097063106,0.5148473816025481,0.6637505360319178,0.6663602628436676,0.6359011623041447,0.4991892750339557,0.4719498081627263,0.44134580451538813,0.4308123875509576,0.4379712745794994,0.47948962607770057,0.5071611914478203,0.7658896543970113,0.5188198606529199,0.5353983890437569,0.5355416402340406,0.42911224933683867,0.4245590290853457,0.418936487336604,0.4689286020725057,0.6059832470109279,0.6846255371623695,0.7724549937357308,1.710780260600015,0.8754629706032269,1.1426866331692875,0.858300424310051,0.7234828904362287,0.6645566311347898,0.5091911377368471,0.467585801885231,0.47492670674809484,0.42264475642619387,0.4390486094041381,0.5186922636191363,0.45019302470126193,0.4926950751049296,0.43269574090289625,0.4662513699143067,0.512406553137507,0.5178019869383442,0.5879102047823094,0.5586695628776799,0.6561562191715066,0.5621095712886361,0.6232444632206999,0.6799380168244742,0.6712011535648328,0.7143899335738605,0.8110407297704514,0.8011027490667039,0.9146112064218742,0.828656031742191,0.7183181995901912,0.7815479828287822,0.8217858386067396,1.8049607933928107,1.0820139519480405,1.643227534905694,0.7868360879662554,0.8373365807713775,0.8726503921403908,0.8777321109697669,0.7704515361864631,0.5751621923764099,0.8886414211982538,0.615966077249939,0.7688869072717033,0.6113797919779542,0.8059747332976923,0.8130472046656426,0.8292140075456036,1.0878421258077464,0.575468247838113,0.5157999618622774,0.5821702765203007,0.7144485490405084,0.8426485123907,1.0552209349546746,0.9493081882094697,0.8614660544099203,0.8599614338674528,1.0648547219472846,0.8795664598009972,0.7579722706911007,0.9657865010539928,1.02401798231047,0.779099156066346,0.9073146319185859,1.1309080531861995,1.0447085237506264,0.8657435282195173,0.9279031432693247,0.8307692649639264,0.8328100639736651,0.7777096857102856,0.7546558275017679,0.7879539589830479,0.672142419576694,0.6527654668805507,0.6737719198018204,0.6935075523845396,0.5623115246484297,0.6176711891609482,0.8109371628904205,0.7526781448191127,0.7232869962578532,0.7063575879145193,1.1010262396835597,0.9403388818274128,0.9544219546537948,1.1219408185157265,1.266958570823102,1.3102240283569013,1.031375172947666,0.7971619582876618,0.6571295222562532,1.0542135330360216,1.035077399418029,1.1101527414573993,1.1785609447643326,0.7666859555528651,0.5897812951525496,0.46048195371325173,0.46478474229899513,0.43923604858439486,0.4840282152587423,0.5825215927389357,1.050998458156441,0.47013036668090114,0.499813129364982,0.6496633857508075,0.7299396503230203,0.49472101005813185,0.5454860184680566,0.9947311016443838,1.3918668384133182,2.231873123515498,2.906527304096188],[0.5411414275471744,0.47768638977793715,0.5260335876269889,0.4848295452056553,0.4933440900267482,0.5294404043881235,0.40183646677675483,0.504437041854954,0.4146622010729362,0.3833411744679768,0.41283959271553194,0.5183518214221378,0.4143301725152896,0.4240051265285116,0.539678071932242,0.49535603110164966,0.4853216309147898,0.5422353939728835,0.6267466641417498,0.57675841965484,0.6672387627870588,0.6646706503040093,0.8176540667901411,1.0496431410256706,0.697276621908906,0.6719259795220226,0.5810014200455724,0.49871932770677385,0.5023640844127442,0.5044434428510779,0.5855030971549118,0.5573726495023195,0.6798438007275791,0.6155900142517319,0.530222609280609,0.5452255050903072,0.5353602332915864,0.5096602216683209,0.4791983889885412,0.49989630048346106,0.8864552209591757,0.6738737685230795,0.6746379497132927,0.7698536937811701,1.1535259019245563,1.6089300337634203,1.4515797834718762,1.0287138331748331,2.1897156135689175,2.1605823976889447,1.1520815863425737,1.5631366692331026,0.8885376874730155,0.8727188740740159,1.54747647993897,0.7093145028614742,0.8005960159720132,0.7506457064571939,0.806059404745368,1.1369491461437213,0.772255165813691,0.8044218019124085,0.769220088541733,1.0375766577118886,0.7417902776121744,0.6775489876757848,0.8605456101129813,0.6692234482167262,0.9335306327381643,0.7498398909777743,0.9365739763515439,1.1961317481689746,0.9430300394135698,1.0922161650670712,0.7445403431458975,1.3191485005229637,0.6304493976557463,0.6582406722518162,0.5835678973701107,0.5586995551813352,0.5714411524660278,0.5874559252366228,1.0599747770428827,0.6003131311393838,0.5855884843329342,0.4925287744384006,0.5107649006097335,0.6163427002270822,0.5608510667585792,0.6499914500702112,0.5949447500146897,0.8892443691904673,0.7301782234525434,0.6609526074835078,0.6020470600211205,0.7013877227126346,0.6475363429089579,0.5992004460665856,0.5872128177594268,0.870869163366691,0.6119763505021846,0.6134580727198109,0.5446529841043063,0.5608339847492174,0.5276297959558015,0.5374663518036386,0.7729549218368612,0.5344586448996624,0.5994662245486579,0.7945980184380134,0.551855279532185,0.46428781446642803,0.4279985929031275,0.4323146016050847,0.458347058254085,0.4752452508157498,0.5092155297445713,0.5404065381262182,0.6952182729342311,0.5800294697095643,0.537977835182134,0.47362073264878274,0.5185918319712478,0.43192600525470953,0.39985509529789853,0.46337771368554415,0.5062346950858599,0.49031645429197274,0.49074694571869076,0.4734545045906198,0.4758290701626951,0.5256490381776913,0.49062170440374975,0.5478946334988275,0.49522987455056566,0.5324636261696759,0.7401382395262801,0.49139907876429867,0.5018707150228549,0.5052995063122574,0.696970357394689,0.7429748522784515,0.6425734117282448,0.48884947102050685,0.4772198815837952,0.4719897905684455,0.43590301849087193,0.44709499027722793,0.4180091382632548,0.4493507707321939,0.5591621266280219,0.647513904100601,1.0205303151636371,1.7856652746138704,1.1421882812467425,0.720640321822185,0.5458566851966943,0.556632491288378,0.4890807143431657,0.5179984322754669,0.46135635016798726,0.4283059240532477,0.4590289192198077,0.4485372411520497,0.5329510727196677,0.5313105257026902,0.5524330190864297,0.6927939720911716,0.7326260698792827,0.6681173850084705,0.5414329409279208,0.5022941342081728,0.49927309356440863,0.43818286977685855,0.43111078047818296,0.4930594712311182,0.5078537072018683,0.7540434113824499,0.5025633854907375,0.5355252409436244,0.4920083977241232,0.4533709350874088,0.47187166883914905,0.459954301930362,0.4943648901770587,0.6117020117034102,0.7046615036389275,0.7028856617670043,1.789704624335961,0.9206992686399852,1.1416316798295998,0.851621928667502,0.7901076207186626,0.7388274507658441,0.5860787510805511,0.5448336807115286,0.5537005500249284,0.516483893393167,0.5467767421769605,0.5823218924685669,0.5605928263995843,0.591553736431649,0.5195346542824242,0.5769657398209727,0.6285596320931178,0.6299506090442941,0.6725341637180372,0.6794208686767075,0.7825248451872012,0.6826996772067587,0.7232948668335747,0.7997367767021251,0.7992395191023131,0.7906962862768544,0.8949858203973471,0.8774413437502907,1.0295872404998747,0.9213762987810856,0.8242758168493229,0.8998941501336511,0.9260483636709084,1.7610616778072923,1.177457673033503,1.6820415474889578,0.9054597256445617,0.9392295108065453,0.96004920077111,0.9489002434779776,0.9026476733901572,0.6938760603885555,0.9507141719873435,0.7019339547760146,0.8612165354571426,0.7346200781012479,0.8723407507127994,0.9386038305185399,0.9364933082273484,1.1248483832049376,0.6790026486341149,0.598799756893731,0.6714876772373871,0.7857479577869418,0.9116783885389709,1.1655568007208827,1.013184436628965,0.9301513989683121,0.9568319330772959,1.1429860677044776,0.9746212395021842,0.8772760226208922,1.075442674517873,1.1319371922353754,0.9039751617445583,1.0447117080975692,1.262085055337659,1.1964658759105302,1.0072791799536476,1.0633713172168553,0.9632895816606608,0.9680973637161124,0.9033538215791727,0.8859537039764077,0.9217438792034548,0.801186965430774,0.7763996025899577,0.8004983229780827,0.8078409900662867,0.6774674965616004,0.74082949528872,0.9237695768793079,0.8450860079398915,0.8233862581599604,0.8206725644494293,1.1987241903084964,1.029943528927746,1.026102663556687,1.1739521935021229,1.3127072257330739,1.4192942281844616,1.0958551029690988,0.8725791822957661,0.7265628324675776,1.0947176353268753,1.0967119714890203,1.1649250519030354,1.2231145845182483,0.8243623094579144,0.6474686872593207,0.5473859603371076,0.530687475143411,0.49426078436742454,0.5889735037664805,0.7088891951626269,1.0695503259087482,0.5812879018092303,0.6124476500518274,0.7298216587398124,0.842471618337021,0.5758195305211476,0.5997202790442969,0.8669765493601919,1.2976943581482123,2.293454457870185,3.038776997286653],[0.6280543584227674,0.6060657498158499,0.6332274359460924,0.6380903689032258,0.6452168981400522,0.7284816178900724,0.7640726607796687,0.8523691798743864,0.907654823427968,0.9198968033487787,0.9827648358745738,0.9924010840852993,0.9559645941896122,0.9780708305162504,1.0806233137932206,1.056451704835178,1.0111189337820135,1.0842963985772047,1.1525241563467332,1.1012796929026114,1.1709149003977057,1.1713301470284514,1.2436071818830103,1.401704550401105,1.1217189084856598,1.1223046035497855,1.0320371400728687,0.9929149771211551,1.0214880448530579,1.0214542099784056,1.1230854843918647,1.0570659328806642,1.1253923685558789,1.153368346603037,1.0754923904708924,1.0819266377625636,1.0235472788518851,1.0088707194225737,1.006245174292493,0.9964918547528127,1.137265639055259,1.0709224271472122,1.0951371065131503,1.1287575913120231,1.4543050877372132,1.704537605303841,1.5989071533931754,1.3061452195602645,2.1427805274216354,2.1779437109277207,1.3915021202060671,1.5840274301574928,1.190468703364111,1.235036546617547,1.8011742798690682,1.1299630320385834,1.159532172451481,1.2537530535204502,1.3256225074202037,1.4355419247430736,1.253983013773083,1.2925687318291907,1.254255045106982,1.5110740529726059,1.236384522571498,1.1887319511284256,1.3003763796870171,1.218101323358128,1.4054786740366987,1.2917762164486557,1.3591637862933914,1.5757089590378934,1.38817976607529,1.5067078069305706,1.2610366645313118,1.6674247720473252,1.1951571476551324,1.2134993742125373,1.1360829025588393,1.1227012753143006,1.1195393511137206,1.098023094194523,1.3887752077534952,0.9742284424400439,0.9757644503576676,0.9936013530315528,1.0474256499189427,1.1090616709157624,1.1054990835167626,1.1827914205905419,1.1904762159253766,1.3940787987673668,1.2591377832375747,1.1968539226763544,1.1341213198832836,1.1984208030076127,1.1806561575301437,1.095474224949524,1.0596550645565388,1.2383123089517059,1.0330310917045402,0.9915043492155123,0.9422959295998331,0.9481946808425105,0.9378905629907842,0.889610381867284,0.9439890178920604,0.8465694280913976,0.8491172388919296,0.9657841165140183,0.8267469847319325,0.8085361593599001,0.7997345392759755,0.8296803350696399,0.9082203652068481,0.8595245747265781,0.9442266026431864,0.9478785147404155,1.0752119134762699,1.0498851027570169,1.0337615010549148,0.9731381692900792,0.8970845874207553,0.8339101526228411,0.8228508162660532,0.7868679053735558,0.7397722015608752,0.748681013768371,0.7373048140749116,0.7673728594331506,0.7108046431680339,0.7342704964043444,0.7569457803026802,0.8160221521707683,0.7883992577073377,0.8341667170034655,0.9688210219729418,0.7859517459980411,0.7726484431922906,0.8295504561472327,0.9794012401269595,1.0820311366216946,1.0286186383393623,0.9006833503417919,0.9302402373806463,0.9832184341654652,0.9076403759564221,0.9099117839650391,0.891262408045492,0.8992311213660718,0.9017627628319062,0.9794494553821949,1.2179288540628725,1.8078926707084493,1.3532504262466527,1.0275122764233227,0.9615120125904052,0.9419084925463239,0.9563822680580156,0.916125420691575,0.8841930817777657,0.907256660817369,0.8756306553875312,0.8991460034805555,0.8850195138482058,0.8593219770001316,0.8496314938890955,0.9406282995528352,0.9315239825683954,0.8928247145864765,0.8096511425704683,0.8355621758107243,0.8770153319597835,0.8676763687814093,0.8778125240809809,0.9334178082049024,0.9699771438654108,1.1107981171607026,0.9488606545277881,0.9008593531368726,0.9238165052711518,0.8622236722520763,0.8540138944583456,0.8590178608479351,0.8797751002460084,0.9704513896917965,1.0533215674265766,1.0788009252761097,1.837533817130816,1.1184874169915295,1.259073096061419,1.1583318523879333,1.0406395732773834,0.9554667301492982,0.8132878158301586,0.7634061110529075,0.7445833261159467,0.6867282680654923,0.6718581966500092,0.74596516974846,0.689019099496434,0.7176505137123405,0.6974604622433419,0.6734124626195729,0.707335500838584,0.7207489326484037,0.7132163390013261,0.7422693505672415,0.8246169405472887,0.7608514457544953,0.7966930394036346,0.8644987918853122,0.8711953665647845,0.8667782808575992,0.9669378662015693,0.9317864338026879,1.0919996011257727,0.9693373668682966,0.8730022219515134,0.9308364602919819,0.9368667189410251,1.6951328353167792,1.1605237988278037,1.6711490153645823,0.919176106714905,0.9354792356220343,0.9933544537536194,0.9870873620837091,0.9303541649307955,0.7690062389916813,0.973909372645744,0.8074630251336823,0.9310249863407101,0.7746626839797748,0.8643125054178413,1.0446689886059928,1.0153234948958942,1.1715692700078852,0.7568306652155219,0.7672453638805987,0.7700760787655737,0.8373727359858265,0.9155326271133192,1.1246722729153442,1.0450168362831362,0.9368162566452773,0.9557789578298249,1.1123340310711602,0.9952795618467737,0.8983578854113625,1.0672613481047122,1.1431010247314157,0.9253949987713682,1.017415724992432,1.22773992548219,1.2245896840754564,1.0129208113220716,1.0680922551213634,0.9804963869166277,0.9604954548381431,0.9115339747771832,0.8792061653039169,0.9252390544767164,0.8344570152082171,0.8198058312909416,0.8333910619173406,0.8505173033973082,0.7459163966246108,0.7996681914387814,0.9941602038511549,0.9107024188235663,0.9199089289967858,0.8973011710162059,1.2475759598161982,1.0847719331827803,1.0731278375056568,1.2584426471811294,1.3596193582227012,1.4254164945289152,1.1250241744278355,0.916321656152066,0.7612513811589284,1.0939894817721216,1.104786078243767,1.179785537360953,1.283339290360428,0.8877473625681759,0.7447988063260242,0.6801791904725476,0.7065974569863237,0.7192231048851218,0.8122959429124262,0.8172794972904601,1.1950424492770328,0.8193692912301598,0.7300124914583804,0.8522123727465118,0.9863606174031366,0.7142987402621672,0.7316927057117911,1.1314126644670641,1.5733774844283979,2.192873018992754,2.7207654983798863],[0.6604561163082864,0.6118920146505327,0.5748973458784583,0.5409978953108641,0.5115636183672089,0.5383354138631087,0.37977005268005004,0.47055311382418885,0.4113487387644206,0.39141594733688756,0.41392745234741574,0.48894024227871713,0.40028856824274284,0.4469929253755694,0.5553580254216968,0.4966784757316479,0.47188521205542894,0.5799063473400277,0.7065305608981577,0.6412144329669568,0.7189128462823138,0.7114317383560743,0.8673604822386397,1.0580065623138604,0.7409500235886295,0.7178647067870623,0.5954158301384791,0.5376203467829729,0.5255592507079466,0.4752529517933473,0.621222174604477,0.5200834554088002,0.647502829681981,0.6170911256075813,0.5249275000630089,0.552656817291221,0.4838292499938363,0.500655220383871,0.48517359251641484,0.48182283001474097,0.8737249975719974,0.6708912836687002,0.6788317379691728,0.7969251282601891,1.189809897361778,1.6171815534752032,1.5019378755251047,1.0516624686090448,2.1126012347777325,2.260410094767187,1.185146459632625,1.5348309810218412,0.8697573610705236,0.8899313716750417,1.5297474666196273,0.7486679365146994,0.8259993578898219,0.7867973727403856,0.8326483469787309,1.1929571708513615,0.8233801692826744,0.8660121844465166,0.8037826869017765,1.1316906387200352,0.8129986170338362,0.7130816948076968,0.9240991413058605,0.7488597338716554,1.0081362175232458,0.8674849299833515,1.0159573895520269,1.266022811091165,1.048307186905399,1.194038443419696,0.8184552483303035,1.322001604132971,0.6885197657282555,0.7039491359067369,0.6201050416147025,0.5970503000091584,0.5540152318426453,0.5624746048334941,1.0485665880650192,0.5094392114324848,0.5255894020301051,0.4662293696630079,0.516697600464842,0.5995715128093533,0.5727090452364796,0.6655703159143141,0.6586456529358505,0.985331015017079,0.7945743803346932,0.6851624876234528,0.619786981536616,0.7321814336393716,0.6721432842406808,0.5837624793301804,0.554431264820909,0.8298307462845135,0.5562041517177606,0.5706244904714763,0.4777407255295874,0.5291590042748898,0.4973476512493158,0.5302406366165365,0.7354142149579201,0.5605393570551908,0.6097837189891125,0.7788331161079545,0.5562537810805892,0.43285455594802374,0.37886702214211343,0.3959658736314993,0.42151485590151877,0.4881211840499428,0.5500739640849999,0.6554249136537065,0.813519876829143,0.6061134125172303,0.614377999741893,0.5490538857704333,0.5592783901230208,0.44442713634876957,0.37577531143992604,0.44697040957015627,0.4925678253452003,0.4936987278196537,0.5016198986505848,0.4698412365720629,0.49320518351020687,0.5253473254588621,0.49045337587499405,0.5112418222397954,0.49285911721528747,0.5447978709022396,0.7599582076392578,0.5141210138231196,0.5331451377321519,0.5241104363792243,0.7818300017568498,0.8681151850898046,0.7448526613447407,0.5398814596925592,0.5167025357352589,0.4809272245067873,0.4325098913310182,0.41354238037327085,0.3818706670468372,0.4220348246276479,0.517113402676628,0.6145745571715029,1.004497869729042,1.7259928819372468,1.1470463413073162,0.6793892442775917,0.4824681020455125,0.49459781858021495,0.4312027968090647,0.4867494805542638,0.4125455764228192,0.4101329182309999,0.45740747972730006,0.44989008950560405,0.5149636000637213,0.5763314859384693,0.5787067191113726,0.7458681121985653,0.7610894550003362,0.6954118373961442,0.5569047509251273,0.5178244152708152,0.4883004303000179,0.4111396431339419,0.39269414429224647,0.4278195356365361,0.42852979002551805,0.6563968067600994,0.448310489905702,0.45237135066280537,0.5125523003944781,0.42716224613886117,0.4519786705536366,0.4956401902454615,0.5345949944108874,0.6102311416256895,0.6866169780559536,0.747335052874679,1.8250392475881927,0.9776824394422782,1.1120504412599495,0.9263658337953242,0.8046930199647935,0.7474181463080013,0.5903450272356106,0.5763027274970473,0.5735934520623641,0.5566639850237833,0.6062345122357402,0.6338835167872603,0.6562922556584869,0.6715998492844594,0.5955453339248113,0.6697570268571104,0.7358731834647984,0.738894494222259,0.7735117956594839,0.7940364774965211,0.9395866122789096,0.8270710096687083,0.8615112558266569,1.0014293287061986,1.0282268655153568,0.9363791882193807,1.0763606142290156,0.9852453337476491,1.226254346430664,1.019391694843129,0.9487370875296678,1.0615538914532572,1.04510978427447,1.726153601104009,1.315796293494551,1.783592574070527,1.046950408841449,1.0236309638465035,1.0410406767518672,0.9884235512131957,1.0033277049817446,0.7841886398014537,0.9657459093061441,0.8206108872075117,0.966661095358147,0.8132932216195311,0.9189230502517635,1.0632648108485798,1.0195650446942741,1.1843570243786363,0.7651918724340635,0.6607522523768682,0.7045936362720095,0.8274947263649347,0.911404379829691,1.1744584255432633,1.0148711460976663,0.9550672620032551,1.0232279998473925,1.1573685553788358,1.0150294874179842,0.9794079235607533,1.1966888154313857,1.2658774701315012,1.0447192060880772,1.1969766208572064,1.428733411134195,1.4342417737384354,1.2206235465622786,1.2801897059009288,1.160143446800288,1.1351889244187017,1.022579963142679,1.0122824005146682,1.0771042921110703,0.941534188543439,0.8822123260493523,0.9470014285473163,0.9563970929815183,0.7922452321308258,0.875322095690962,1.050432925085182,0.9331630886225274,0.9142675330035304,0.942524640855386,1.2961087725940124,1.1171159350903275,1.0872426939478654,1.2477124569040283,1.3392992523265963,1.4556455653506428,1.1192564318683589,0.9280587471343826,0.7701789645185684,1.0709801438596598,1.1199644736682202,1.2067059557993496,1.2756844146434938,0.9099553284324442,0.7113349839143593,0.5906174238409961,0.5554641075487972,0.5863918462260094,0.6493597351695595,0.7647928451734368,1.0974654781215412,0.6536357251341974,0.7140937132127443,0.8180123543708179,0.9214701174645104,0.6516402719324753,0.7216577738039694,0.9112848041950963,1.307831653851998,2.1290929512596253,2.880321407609282],[0.530975659708397,0.47704308093880843,0.5040148969262375,0.4641730541737327,0.45505141344404937,0.4941443631924576,0.34837382810201073,0.48395883285976427,0.3996348185248248,0.33001494151298894,0.37325687607082586,0.4918529343292364,0.355634447071969,0.3509509881789745,0.46319381745644284,0.41176513328924474,0.4073860594771091,0.45642493416321783,0.552670871722528,0.4961549485353565,0.5543878884577057,0.5637091453694807,0.6883646334261597,0.9053712839180778,0.6302570389629649,0.58509740243065,0.49089991565768176,0.40536730213592603,0.42618392826618434,0.42416557336170563,0.5105262044021592,0.4726092499801219,0.6059843354460235,0.5273316434975934,0.4617852649355487,0.44929192017045716,0.43751748329783385,0.4155122752501904,0.40051284065450216,0.40559888574011094,0.8411099518466376,0.6135211024125954,0.6211125649198912,0.7602378751759382,1.122826104945966,1.696105519102452,1.5171774350136973,1.078876989549631,2.2580615642759163,2.3869393621112636,1.2319778168012274,1.5694390298968661,0.8385732303538441,0.8128685391137555,1.484164102932102,0.6564301342959781,0.7764937421459175,0.6914269952106611,0.7492819202739383,1.129266187483355,0.7277474621885235,0.7223025735964833,0.6681876336142063,0.9301943658724467,0.6693767058376251,0.5734430853977546,0.7803547243296169,0.5866686870137378,0.8272499464179318,0.6986698251578205,0.8726536823082783,1.1251762043768716,0.8881172165838508,1.0002539721591355,0.6468342020021571,1.2086187849448509,0.5163000789484061,0.5467680037118638,0.48002699593974907,0.48465272095911094,0.46925675974443204,0.49429763139673333,0.9913182680742545,0.5027267365077529,0.46646880381152656,0.40361117060349433,0.4180473418650508,0.5535034305018791,0.46602423430722656,0.5814998119867701,0.5147215616480754,0.8099353841965268,0.6317167355653787,0.5674778234432587,0.5220755236864971,0.6296912146389675,0.5703879774299153,0.5427406758009456,0.5504060832938434,0.8322268790158496,0.5889148247433045,0.6202973592244421,0.5088129847670914,0.5593900945342627,0.5382269320860603,0.5248074167646442,0.7394082415758141,0.5315878402719663,0.5814791143371408,0.7550194814032417,0.5384822733537331,0.40971209802382985,0.3601787340786757,0.3588955625488693,0.3561253278980113,0.3917060264728583,0.4277996230899491,0.4750523413047742,0.6230248120341779,0.4685781144573398,0.44574336814448007,0.3899978037081607,0.4128830981905901,0.3264587383198657,0.3176073878860108,0.4023223369183391,0.45707563777905336,0.4487845250427074,0.458472756388005,0.43772723501481237,0.4519727378522973,0.4938387028868713,0.45583892314358093,0.4982663911674429,0.45303387107981535,0.4993758272526644,0.7392762654125865,0.43657108857069515,0.43513213700049425,0.41240902696252246,0.6310287967414325,0.689053507957,0.5700551404549457,0.41269877000863614,0.405515803240873,0.4113756160741124,0.35862361352493727,0.3677869488582239,0.3685226796023071,0.4305083696239843,0.5474308622332336,0.6319337458611491,0.9995701887308116,1.669971312058506,1.123279598971268,0.6985957193343468,0.5194865722595353,0.5373901723087194,0.4467644546148529,0.5122204179065033,0.38368647948897106,0.3774508095817686,0.36634351091057255,0.3463511591650166,0.43843493327050775,0.46533820748841087,0.5007664881274493,0.6632273231479927,0.7050948195123241,0.6338034681623433,0.49690230410162844,0.4335185518210037,0.4180483050030299,0.38402129640864274,0.3760106819960818,0.45241391805929404,0.4432140306936037,0.6886070481306795,0.44197043444723955,0.48034860386673783,0.5227506011457249,0.4338904877327696,0.44232059789128875,0.4438005410545077,0.46701534532746614,0.5835224622200699,0.6817822078896687,0.7194996249733135,1.7820241719841996,0.8846717920991245,1.0587262930236407,0.7999603585306441,0.7397766963764529,0.7007680373360103,0.5564171273411821,0.5274542628833987,0.5264412003323483,0.5091955239517861,0.5410140851990379,0.5970909914326941,0.5676264240951079,0.5898028422226628,0.5281899562369791,0.5709745271774849,0.6123587792243985,0.6157981680958103,0.6579472721863998,0.6464821255027724,0.7672634205711623,0.6612750856890468,0.6999672478297145,0.7929611344957408,0.8211030180573186,0.7624751017295166,0.8758864483457662,0.8454029392452229,1.0206636487099932,0.9012682256914377,0.7996028188849619,0.8777381432008996,0.9139582061922129,1.6964019039839215,1.1546366354582864,1.6271385605065825,0.8764789803442302,0.8843162558823844,0.9319047716906226,0.89660911687611,0.8842698856689649,0.662084818346554,0.898661869339014,0.6994717884101702,0.8700989738311043,0.7238668770503345,0.851923010110436,0.9786256529510454,0.9655019464937339,1.1741279592045668,0.6978361141781934,0.6282732293432098,0.6218377178588531,0.7210296957060484,0.8254827692335209,1.1084394203761896,0.9488302710042528,0.8733600520478201,0.9137075166974592,1.0762773422555783,0.9436493944123389,0.8641170934997559,1.064034235575091,1.13706922538635,0.9012447244105113,1.0334223337720334,1.2654962026596923,1.259016941506594,1.0161639315169808,1.0715748396106468,0.9476982412185012,0.9478836814938871,0.8755756485541718,0.8483658472769491,0.8796565101536624,0.7756710006089886,0.7506800051608242,0.7853360090258952,0.7961834465219156,0.6716295503135365,0.7515571311303979,0.9477600180671469,0.8537611494341296,0.844648045903068,0.8447625338599809,1.2325787794978642,1.055578804775472,1.0482327453067042,1.2031910995455415,1.3229851875772178,1.4037543812309337,1.0960571920275768,0.8460012331590566,0.6861132994419847,1.0898905658444822,1.1178032860445428,1.2052704112500372,1.2678065005736148,0.8536603048142346,0.6563614514145326,0.5350185873458966,0.5040936938536674,0.525717165496106,0.6085654950458986,0.7073266632656435,1.0537203036076108,0.6219432589737234,0.6176113306804659,0.7441368846031222,0.9135730458016488,0.5717002893981461,0.5982257916728285,0.8061751159381182,1.2194528223931542,2.129896311718538,2.909167352727163],[0.4805250125463588,0.38467405102551133,0.41298846872818157,0.41338590379892337,0.4207406715295689,0.4287543564856058,0.2857268473131077,0.41639617997469575,0.3499587557257287,0.3050519463962156,0.34158571997611703,0.453841107437576,0.3357090911562805,0.3617414089496547,0.47013429556415787,0.4161659589770829,0.43322697200491106,0.4882321668858827,0.5795065857441951,0.5243145729762281,0.6118659800830797,0.6148675913456205,0.7499231535503137,0.9944469393143247,0.6524557103778993,0.6303375849048801,0.5262284341616957,0.4445712986155389,0.4427519705771038,0.43728185801499214,0.5248107494322081,0.4710915756370823,0.6094311224401566,0.5323767097181686,0.45796164619513646,0.4763710719410867,0.4457111933020303,0.43811024707136814,0.42650116864773674,0.43359268073973334,0.8552374618336915,0.6248619964100263,0.6378854808599191,0.7529976173759749,1.1056253929618558,1.6128637616377033,1.4334103824096294,1.0208957342886675,2.2015901627971983,2.2166369569969726,1.1545662455613643,1.5266935712905336,0.8369735537435994,0.8233749984383735,1.5194531899244985,0.6769654719435121,0.7779033725621135,0.727458896421926,0.7890321098300851,1.144317239307321,0.7603240485236631,0.7557761764352788,0.7036214198226387,0.9946739051401471,0.7098988747178328,0.6160363323151743,0.8224503514861746,0.6221170599541959,0.8895439528946059,0.7263088877022901,0.905829681863623,1.1732958253033015,0.9241899417892655,1.049855531747154,0.6866463417388344,1.276290077479215,0.5625970182330601,0.5800905720502041,0.5070368310406803,0.5175893029697475,0.5011081585979412,0.5248824060119468,1.0189802006729065,0.5125394169727242,0.5119971549547941,0.4264396300405493,0.45021847480072863,0.5516159443203353,0.4959461093631628,0.5839774553140179,0.5364037387256424,0.8565732778672891,0.6551715755156394,0.5765634224730793,0.5264348258095383,0.6286647017176262,0.565605073136953,0.5165274876995858,0.5065669660900932,0.8076003245903991,0.5380600546006933,0.5413150349120649,0.45216276937339855,0.4946646317720218,0.47425838179585156,0.45611101240943847,0.6817050744974582,0.4537402986215975,0.5146780281110357,0.7182532950032926,0.45599247940442245,0.3694939757855748,0.3303095568859982,0.35911685902432006,0.3705240688297834,0.4241555951179092,0.45973141011084123,0.5022175409918679,0.6547106008004002,0.5166414269055263,0.48679746940936586,0.4363746032240754,0.4626893469097824,0.37355782350232264,0.32783750237193526,0.39513097387129426,0.40882422127990203,0.4072791923572268,0.40425136023181435,0.39653104760642355,0.3994716396069977,0.44347750440610045,0.4138957953898701,0.47045623421406724,0.4348787077079123,0.48048292284604605,0.7302347579829961,0.44494739454181204,0.45069563130213536,0.45084321746918193,0.6593972013219076,0.7018911459136549,0.6023946260683226,0.44240391810598034,0.4286477264056944,0.4220636199256704,0.3738862867079355,0.3553815060635127,0.3469634448179918,0.37643108312059653,0.477683471042043,0.575198866391183,0.9585609709769924,1.7394517849724005,1.1353307463520206,0.6388653438841191,0.4476933562792794,0.46628541434894744,0.3981713932421999,0.4576012597629539,0.38536260591394844,0.36805841929990357,0.3823149747688944,0.3724983236041277,0.4573819997794911,0.4900662473797188,0.507813232699631,0.6730915334060872,0.7002895031217754,0.6434612103742005,0.5035120914920141,0.4521787656541388,0.42385568558533004,0.3690994173835552,0.35938891922311833,0.4210756064302206,0.425799043082059,0.6781972318021597,0.43094011941373417,0.4515713584299624,0.4823663898925563,0.38227304621761204,0.4036181199832231,0.4124530065663249,0.4575610145017615,0.5722049547464922,0.6665861322044524,0.6833142523479417,1.768278796762089,0.8809116360671408,1.0772908579662677,0.8405722712644977,0.7511541558149865,0.6963701090497993,0.528012738553459,0.481720054863867,0.49014858204023576,0.43534388348294784,0.4651723448999736,0.514465963766122,0.45994424932953437,0.483218498505131,0.425111120386286,0.4811844574848491,0.5208383583778294,0.5250953980476027,0.5914161690949502,0.5732167929404387,0.6735584668422733,0.5840290792548766,0.643039156843206,0.7136414008488818,0.7179080654839686,0.7273581375060559,0.8324240088082915,0.8056802386713673,0.952245364658667,0.8358656763525127,0.7343360944334277,0.799749156015807,0.8266456477109105,1.7267051871624661,1.0497790593219378,1.600289120450504,0.7950473794220746,0.822480798101969,0.8780638397265235,0.8564352908101727,0.7989186856060023,0.5916679637450147,0.8751932335099359,0.6277577852525338,0.7819484097500787,0.6387727037674904,0.8287227964045725,0.8713129233147415,0.8817457439021557,1.112183696692395,0.6001240704903598,0.5324911693344521,0.5805583782209851,0.6995486384311366,0.8065636861552004,1.0120558260699672,0.9089056440331102,0.8358734650789325,0.8421663802375571,1.0170003603845812,0.863757824441901,0.7732209845601994,0.9642899378166778,1.0389363567463752,0.7938699927607429,0.9096521411202569,1.1363309833817858,1.1159506574260856,0.8964576190271135,0.943371458175205,0.8444413514705496,0.8397969820018644,0.7779776500862143,0.7511919569278664,0.7913849312210213,0.6862024591686736,0.6614150183157049,0.6881196019398022,0.7121053124332233,0.5885054583873353,0.6447892423239923,0.8438704167660207,0.7671654715988565,0.7561187615786708,0.7387542106833282,1.141073502813077,0.9618984501726838,0.9661092932336566,1.1244085353466968,1.2809723591831355,1.2965260094232236,1.0354269385188675,0.8036826786060656,0.6501642201580733,1.044138387918975,1.0385640424235494,1.1129134269800791,1.1949625261564063,0.7763001279259615,0.5859593701713557,0.46610393487997437,0.45870065147465255,0.42094183645288824,0.501296977410454,0.5962300584951757,1.013234494440649,0.5034709382674324,0.5051929225317707,0.6313323885451189,0.7840032153060976,0.4536320502824899,0.5126393114696395,0.891077781249038,1.3431176074073568,2.06415405838418,2.6935776439148214],[0.45593157676929236,0.3712888877920594,0.4499372301512675,0.3843376686592734,0.39974280342392116,0.42550620404290024,0.3056508635011251,0.46494356054591823,0.35217311260611456,0.3118124382816679,0.35423057929316903,0.47635229514261046,0.35890704133125495,0.34368966613773216,0.46838111038675234,0.42948522604938066,0.41711053420472705,0.48380824700038505,0.5439323448919776,0.5134246765953895,0.5780976356537945,0.569261899730462,0.7178704802334424,0.9579006499743633,0.6022782436394479,0.5816047279171317,0.4929259598491929,0.4193497628237584,0.43128574445599965,0.4591924006478452,0.5293773453878615,0.5135119077624853,0.641287892504023,0.5629622392412312,0.49901559901026493,0.4834120346095752,0.4832854023966614,0.4329134123619473,0.40282679124648024,0.4161513014576769,0.7967858421875509,0.5921962386549244,0.573520082232622,0.6841534523535234,1.054434244120859,1.5445217470127997,1.3412086614154757,0.9856070652526343,2.1736048461978927,2.0941765054286767,1.0954533280346799,1.5005993779609927,0.8879689823895806,0.8575571786791883,1.5757289981997975,0.645040037346374,0.753325787277156,0.6783949088775278,0.772762351453212,1.0483874405163986,0.7053469699193443,0.7508062129225357,0.7301270213467271,0.977675841012998,0.6778945083489117,0.6047555700178889,0.8134883718877012,0.6249015143775326,0.8760470498388624,0.7069165463611219,0.888055334709648,1.2112800554159258,0.9012052002954111,1.0163978506434859,0.6703026840871336,1.219356510385777,0.5563690282538558,0.5906762440787391,0.525424366125664,0.5220760099352112,0.5316058789795901,0.5507950222788388,1.0470501493251554,0.595909147457737,0.520701431471161,0.43587350283433685,0.43570562365569526,0.5988152897056673,0.5002555467663656,0.5957953668363566,0.5386981407284,0.7980167785045761,0.6509779444006109,0.5901192101266354,0.541003464852282,0.6344666382086005,0.5914984522050813,0.5429805323314337,0.5482073112754328,0.8718548451835776,0.5834954248195178,0.610529688440131,0.519717275188364,0.5416729295334753,0.5031439544783585,0.49040237179954155,0.7488239667174881,0.46747751882908684,0.5382156619499724,0.7461939935017545,0.47316494809494386,0.37570190772332274,0.34725791047056925,0.35538090816727536,0.3959507439844899,0.39329976776830394,0.43056528234219793,0.46396365439266846,0.6045498118640102,0.5154667806716942,0.46733224941350787,0.40499447760840673,0.42536958024768523,0.35547669792883363,0.32092567310452846,0.37414793312581013,0.42192576971366264,0.4069592149151634,0.40548572254838966,0.40212776763293395,0.3902956136964699,0.4550459682902186,0.40508281984302263,0.5099351247040199,0.4274060982036591,0.46318198993058146,0.700318867201734,0.43214509748335667,0.4367345015546693,0.4178344407560837,0.641486807628388,0.6649394557594758,0.5616989810202386,0.40425826983673785,0.3832274425576724,0.39649135325026075,0.3562150336791415,0.3679535214090852,0.3764423188264261,0.4070146210840055,0.525102804468445,0.6210128512206435,1.03392535114,1.8034126132466775,1.1384589673518701,0.708830009402898,0.5145787961549311,0.5316546933612707,0.44993642801881645,0.5116883441315865,0.3999333176753891,0.3798424977538677,0.3732693442044177,0.36972433271558147,0.46920082360134296,0.45834985873456785,0.47120429632489363,0.622534899492207,0.6648726020593025,0.6169063049430298,0.4685272326466129,0.43905980533739053,0.43315434912642475,0.39626922502344214,0.37590919942059065,0.4613439625708943,0.4629105686519301,0.7567833321386351,0.4713622112577123,0.5130488733325553,0.45542237783049494,0.41205587934884524,0.42787647894418035,0.4136522989432878,0.44513871338433014,0.5589026969888031,0.6179611119517153,0.6373150889219336,1.6937045831977129,0.8360623462900284,1.105733850005852,0.7808890875357772,0.7232164816398842,0.6731292747907728,0.5076841946381644,0.45931299471588194,0.467324948630491,0.40963373107658335,0.43953618350444124,0.5037694720337139,0.45387736371595677,0.495225107178821,0.4279220339665213,0.4618268808922332,0.514116570042817,0.5179919766480583,0.5722524154427581,0.5432295086875681,0.6554893683004307,0.5486087519844953,0.6004398608182592,0.6617896510970731,0.6533059831998269,0.6957678477034326,0.7828633237692695,0.771016095069265,0.8741074910606772,0.8021888168000093,0.6984615440378028,0.7530882827024098,0.8095513849629806,1.847185029565297,1.0247943125693828,1.6092689235163955,0.7907858312429087,0.8554132155097995,0.9032066044161446,0.9010235647791287,0.779302479612453,0.5809947571379906,0.8949905016322081,0.6141326702686833,0.7540528905197263,0.6073031249448939,0.8174392199053613,0.785947612906228,0.8181271259618775,1.0518913544175268,0.5625723110075602,0.5178137016505736,0.6010352393373486,0.7341010326323548,0.8644392211328561,1.0859628469425648,0.9646496232075316,0.8848227168073644,0.891027387003535,1.0802801164907956,0.9087729205034702,0.7868932595959661,0.9860694278521795,1.0476804078864235,0.7857228005630686,0.9131307756937749,1.1444663486712185,1.0568845474055082,0.8618534436165347,0.9242092940936854,0.8252462642848905,0.8365594821693499,0.7947607548145599,0.7696651536568611,0.7912418548896284,0.6719170464231435,0.6572884368002379,0.6714530760975558,0.6844828968190709,0.556975144501648,0.6108654516470334,0.8001675658003546,0.7226187844094561,0.6987061231131477,0.692366778746687,1.0750935582658179,0.906246703513281,0.9199709182109062,1.0526295772238805,1.229958674969534,1.2675094401457474,1.0092900309670638,0.778408494267174,0.6471320472542793,1.0514179484031565,1.011534466949923,1.0714035351649835,1.1425473729276998,0.7294775886321204,0.5591899868320178,0.46872747076507854,0.46060931109688447,0.4137659402557965,0.5190299160072555,0.6315918520296603,1.066374032923476,0.5016623991695757,0.5207096899249121,0.6702732801259041,0.7606423997159717,0.47962987846220256,0.5464895365864656,0.9307395535776278,1.334082021287221,2.2570590414849607,2.939165404895545],[0.5781092022158034,0.4775889374493837,0.5218799198660127,0.5460797347897093,0.5467622523455287,0.521662698808806,0.42030231084766506,0.49771643644823177,0.4514483928510549,0.4541553378900606,0.4733439604245853,0.563592434865852,0.49158553558529905,0.5045988156502422,0.6242344306827486,0.5965413291383485,0.6012927208203814,0.6829564011215888,0.7660758265761077,0.7268896920694032,0.8099370145903654,0.8048695400606541,0.9540978433228658,1.205259287591478,0.8073478538387834,0.8020253956313059,0.6936517517440572,0.6191303949193088,0.623628114192951,0.6028151534767935,0.6905033783318489,0.6234476256114406,0.785313579680671,0.7149654234233501,0.6359629308324302,0.6633175700608246,0.6124861942890822,0.6268814611552574,0.6076116437280785,0.6279538535357058,0.9775389718304223,0.8031121523743872,0.7951851069956486,0.8852319397673689,1.23290601536458,1.5764371481300994,1.4513700151177586,1.129883766011143,2.1409173102418944,1.9643450769333146,1.147643913854155,1.5186379268653316,1.0022553634055953,0.986616343434617,1.6210035308124395,0.8145508504420926,0.8839126861348205,0.8757846811896972,0.9202070401001389,1.1995173263497672,0.9104404580675516,0.9394710816354666,0.8909994245012338,1.1562008232962853,0.896813136295077,0.8087065306365312,1.0056818179010056,0.8183575220496203,1.0641787478500513,0.8826534667107333,1.0348831075975669,1.3356065455543347,1.0504117416544665,1.172529547631447,0.8761283793478195,1.4568845432769806,0.775395076723479,0.7694248427557614,0.711358411628283,0.710577553176609,0.6992998035981469,0.7084196546851353,1.141918233509896,0.6846609020461092,0.6705535240881234,0.605220004030974,0.6285518692875548,0.7359658129600218,0.6914979012871394,0.7509269691513233,0.743111301993357,0.981989156704842,0.8180636404484435,0.7604408052649461,0.7024671480407034,0.783270750799274,0.6909562209437167,0.6548029266523184,0.6396208782633415,0.9402749010180586,0.6686973205480372,0.6532905002164228,0.6059857639408531,0.5971580055670732,0.5701921223821508,0.521441514518204,0.7214438077232489,0.5094206517319428,0.5666118679368833,0.7650982490796239,0.5149499068417467,0.4717778458468124,0.4623042517797264,0.4947338424691827,0.5486230706780861,0.5665202816478427,0.618008701507275,0.6633589186515829,0.8206857183626957,0.6868435557823691,0.6617644659943478,0.5962890073880105,0.6175571132508741,0.5264410051907545,0.47427343742283995,0.5090296849687208,0.5081655515772735,0.5026749214532686,0.5059356732139583,0.49718513339653064,0.4824960627804505,0.5240948014041582,0.5105682774742288,0.5923574611528165,0.5483068176812593,0.581847906105859,0.7794255057558283,0.5573929744769065,0.5883440305333456,0.5984865118405015,0.8057027477549418,0.8442994018163364,0.7430248088176459,0.6034501802719112,0.5939556566343485,0.58185121251338,0.5509781510081434,0.5207804951043549,0.49513620664537694,0.5183399996260263,0.5685362070487107,0.6423250183204188,1.0110525113487174,1.898423549419252,1.2343229449040112,0.7380725629037057,0.5771528516719148,0.5793021173097621,0.5465207277541577,0.5777197351674473,0.5156730687583733,0.5493282514295703,0.5409906479271248,0.5443903485643591,0.6018155446533398,0.6294121039263743,0.6217582098242994,0.7425771636275702,0.7513138799286748,0.726835610367872,0.6059321250979047,0.5875232975301489,0.5770011525610763,0.5379957626249997,0.509813595123527,0.5534861579212872,0.5653612497528367,0.7939713200966907,0.5716909166910481,0.5871616858771588,0.5849835140773892,0.5241613625765899,0.532478157071305,0.5474095758371942,0.5833351083736642,0.6669359898178798,0.7446595266682264,0.797245977737082,1.7736984742349386,0.9802586432210925,1.1893650557446398,0.9501641331557716,0.8394276752520199,0.7739498566940824,0.615904462841941,0.5371261677840677,0.542875054064188,0.48727763793507944,0.5289220928878731,0.6043543218974886,0.522131953685374,0.528557915650743,0.49635238395706444,0.5449366236732173,0.5752433659264123,0.5751685919120159,0.665875969026069,0.6243552310414283,0.6813456038303464,0.6226190681193758,0.6895728089191657,0.74141864809951,0.7267702905490833,0.8001012089126196,0.8731352924139858,0.8760075255105403,0.9751324283600163,0.9076626885729118,0.7911729511353334,0.8203288295381844,0.8606526519003987,1.8204270406255096,1.0715850473419106,1.654442979391757,0.8019489848911938,0.8282911066828719,0.8745911620944208,0.890266823441909,0.7816156216180438,0.6251631741096193,0.9072058114842841,0.6958490193417695,0.8287456532755408,0.6752926714579207,0.8947608081776126,0.893205335045204,0.9148192117735161,1.1476506210859638,0.6523563260966387,0.5938215119010339,0.6365522296448636,0.7447992721411747,0.8299161381015516,1.0084594420677224,0.9234352931273154,0.8543635521968874,0.841871759052414,1.0261465848504152,0.853382055372586,0.7734356292479228,0.9483597275579181,1.008573441687989,0.7871650764174863,0.8975908956106575,1.119463179046182,1.0728322909389156,0.8960461529730531,0.9471037770005163,0.8391149535268003,0.8317314189818272,0.7751593089863217,0.7566307911200787,0.8016092095225731,0.7146350615907517,0.7039210230164903,0.7222265859846813,0.7511742864591348,0.6359029207318541,0.67240889291854,0.883608671421461,0.8279261537584379,0.8053749299528488,0.7781668677115106,1.1611604736532848,1.0083319695473378,1.0303272751088264,1.1835955374242895,1.3360609523750016,1.311011915455242,1.0869772222750544,0.8738129738943038,0.7402057227505172,1.0951269017953127,1.0723384047565463,1.1411841656160713,1.2108664647604657,0.8164743922490687,0.6594417457626596,0.5488096614086947,0.5499876413400695,0.49401432539342044,0.5486335741429296,0.6471589450528954,1.1054244659264343,0.5530825310880563,0.5558350543805566,0.6780095258896311,0.766269895281993,0.550826159243421,0.6134489278932496,1.0706548615833142,1.4629793181052824,2.096776277455293,2.7285047989967914],[0.4955467571905465,0.4160667773591898,0.48328611148770523,0.4026616339947391,0.4328970489932336,0.42136859342929095,0.31151885933661716,0.43910281353529224,0.3316475748314901,0.30318553343341587,0.3441885772748923,0.42980522306070135,0.3489366418448461,0.3401880508303449,0.4938891093080089,0.46768091767592346,0.4393596771723227,0.5282685718589419,0.5937834710092457,0.5493608583704488,0.6446690444487955,0.6275309085489946,0.7934399277364328,1.0251831260581425,0.6212669834508838,0.611668058475609,0.5152407373955087,0.44622890966307555,0.46452667201126646,0.4771846546263181,0.5693359233308621,0.5440999489524938,0.6878809439396323,0.6128765221118987,0.5326283391697639,0.5263336923723857,0.5133404480625957,0.4663440233110529,0.4316683023118104,0.4380202246308256,0.812756267792753,0.6352584602626333,0.6236919629130053,0.6947873775150422,1.0512453478374604,1.4327380234140987,1.2540971599548438,1.0073071827801274,2.1241088121722687,1.888164743151272,1.047651392678129,1.436548124054494,0.9203779858532045,0.857749010640732,1.5885663484476975,0.7078698586508544,0.802351096003795,0.7318495039633982,0.8321716777083835,1.0574073398058443,0.7415243541196601,0.8285743754138598,0.7960358043297455,1.054140903557634,0.7282444891971223,0.6731732096250984,0.8841006427144792,0.668578684888422,0.9274910163153627,0.7269673873648457,0.9235767317527113,1.2744746470276718,0.9507281009386195,1.0588421173163531,0.7259062517010458,1.3028289194089786,0.619532497176548,0.6567429823389008,0.5829595437501494,0.563568129876135,0.5846516108885722,0.5995119208857811,1.0704425855611335,0.644844325454707,0.5472970661922795,0.4645432946524533,0.4789120955846353,0.6368567094200844,0.5439000980714459,0.6412130891697716,0.5912426677949612,0.8469942592503873,0.6924144777476346,0.6398655959902823,0.5828015422253626,0.6697433782637311,0.6083174570662104,0.5711609584333247,0.5645794705649826,0.9059392258541686,0.5975811861880971,0.6227306156304182,0.5442365883796342,0.5404063621728555,0.5093839413666121,0.46247000581233144,0.7437734025036562,0.4607299155336797,0.522315124704804,0.7470935622495439,0.44115262736697514,0.3535276880442679,0.3327741689133952,0.3413167170684151,0.4050615147169765,0.40858618445958184,0.45064123464199046,0.4901085266125173,0.6359438690593187,0.5738072097608973,0.5127378243521489,0.4311005816330863,0.4375537997552108,0.367429466871796,0.332168285411763,0.3806210224397928,0.4172761266710423,0.3953296513588604,0.38413879157044045,0.390459175094207,0.36967445551982053,0.43386672953648653,0.3773459533742102,0.5189069085751574,0.4314608599329814,0.44987233629188145,0.6956155715754416,0.41870440073645676,0.4562539903495917,0.43814136376576046,0.6659363238453129,0.6711822195672486,0.5737957160325959,0.42893676239666345,0.41404245573122933,0.42957184257551245,0.3884902208731799,0.3680871543297099,0.3735957835228737,0.3945310437803341,0.5062068871582914,0.5926591970037622,1.0310528516556914,1.8690801189566517,1.1417443052699354,0.7180267288679423,0.5113533865490408,0.5225720674556907,0.4641222902481218,0.4741614755708165,0.3979394934433729,0.40725607969233607,0.3880557107477542,0.3920580281803472,0.48331288389648536,0.47212835667003733,0.46907811341425065,0.610530671341387,0.6425301413970679,0.6184362793830688,0.46838682405007864,0.4315981062790918,0.42645228026706705,0.4021917442926202,0.37683388952219715,0.4414142265614082,0.45111141342100936,0.7440936894843299,0.4575962660849063,0.5131990691852337,0.44170293001192684,0.3928359062468537,0.40763007160620807,0.4053455220922669,0.4385097870899083,0.547732485950131,0.6046551770022295,0.6824098929814313,1.6589471692573323,0.8430107520052482,1.108051686362205,0.8216420215117622,0.7131412045083011,0.6519991246105138,0.48866761838896694,0.4255332745705927,0.44127890290110694,0.3966957700318683,0.42842091609691146,0.5067279092705729,0.44811010911503707,0.4952533708414572,0.4254300387439208,0.46241781825363837,0.5236548378940624,0.5241228423910811,0.5768446235213552,0.5612548858947243,0.6677496366532613,0.5777221999461861,0.6438824143925403,0.6980471098611772,0.6765781799417666,0.7679068042238923,0.8276370374823739,0.816409513844179,0.8935756840313733,0.835380314242146,0.7282579205066267,0.7702189330271957,0.8165395348267704,1.9712273976396817,1.00342141051207,1.652748477980329,0.7973537701794677,0.8597400708059173,0.9058838592038079,0.9388161266961559,0.77566857976526,0.5983997102641119,0.9215908646746744,0.64865598596572,0.7463777222955436,0.5931415846560983,0.8448936884707342,0.7087412064389947,0.7912210546503433,1.0084703965747146,0.5234349806775497,0.530148144156006,0.6256021099121251,0.758150540624852,0.8833323685716797,1.0774901002807216,0.9833680077841839,0.8895425443726988,0.890500664356689,1.0868818680354284,0.902223863792346,0.7708902009925171,0.9596640334104907,1.0053149850054017,0.7671348862887609,0.8796667234320691,1.097588225551758,0.9888413776424682,0.8468372579892992,0.9075100727451718,0.8163441528392268,0.8241731836457667,0.792006299435654,0.7745955957646332,0.7982600344839892,0.6885928525595784,0.6846617410467337,0.6824203482956217,0.7044768106628612,0.5673439679469907,0.6162580461170312,0.7988439885112916,0.7227665685665378,0.6685531848459506,0.6839405371078429,1.0247449704126548,0.8876319617903677,0.9056562682310441,1.0344490001963493,1.255358420290264,1.2614572692297246,1.01435073537531,0.7984816208180282,0.6831636826345813,1.056269503098148,0.980373506228321,1.0287245676694983,1.1157331391974867,0.7096689718507765,0.568207286618332,0.461187167108894,0.4428919412794829,0.4154203003637722,0.48869185937982035,0.6214948763618833,1.091993711265974,0.4735328865360161,0.5242820959551471,0.6769768431617947,0.692338633465438,0.5074452775524331,0.6423073986769955,1.0957264501294102,1.4246352719075326,2.1945900922941095,2.871237598127147],[0.52874419303762,0.45527637803918863,0.5006368630383039,0.46868108716002516,0.48731034993116307,0.47847495103614374,0.41493203611105883,0.49527724049167926,0.44392653837005386,0.43627486005865396,0.4629000144494202,0.5223017978039988,0.4831573235046654,0.4769842941911474,0.6097733066480427,0.6074021014724958,0.5819823200294612,0.6670377833029184,0.7443791014697189,0.7082959707158455,0.8163150943737457,0.8013744448206939,0.9932516636028084,1.2111333924866148,0.7767995801056583,0.7667668016939974,0.6765889803391615,0.6064401950455185,0.609940828419725,0.6073080020276793,0.6903443132383763,0.6679604870708152,0.8013035385155848,0.7577392132280172,0.6660304835773248,0.6754074275884479,0.6418785037861994,0.6121418173737381,0.6074260710305913,0.6022068820860066,0.8986794154943847,0.7393565681053541,0.7496954056165874,0.77619342524877,1.1673807415164235,1.3682613582511503,1.3440650738282958,1.1229956636871445,1.9863570009809,1.634316594870393,1.097987549749733,1.3772823663897815,1.0294619259737834,0.967567032300892,1.624232356032589,0.8559639876635956,0.8866996381508622,0.8745103115292682,0.9654750100255244,1.1500989406424087,0.8701685507429382,0.9328802272595539,0.9024121596849406,1.1763295539468024,0.8599700567177386,0.8182553904132777,1.0019117911969664,0.7910847719075732,1.0477107263183494,0.8182366619064049,0.988597530660524,1.319532936128175,1.0105077142812542,1.1811503727888184,0.8488926674705203,1.4533227785851976,0.7703937596777702,0.8081776621606729,0.7416009605864411,0.7221592841484721,0.7246233794149678,0.7307463249528194,1.1552533469648956,0.739678581467124,0.6653194459829357,0.6066125462503725,0.6290516479145939,0.7640140764252636,0.7038521165345872,0.7853843929161138,0.7430849690994257,0.9808292316919557,0.8252101734033395,0.7791260652107708,0.7093502559561329,0.7768158151068727,0.7051448634390233,0.6884384065369561,0.6721089484000328,0.9662181547717839,0.699303724679425,0.7029792554360483,0.6420971105318123,0.6332759931509254,0.5825150722462324,0.5386427599943294,0.7453222188266947,0.5175666621602303,0.5502692889214935,0.765748974455507,0.49750048918960066,0.46254483382170103,0.4381648003463694,0.4721266798481457,0.5295966238873066,0.5435427748616917,0.6011038219739135,0.6127197597001318,0.7744229575246568,0.7384879966003276,0.6482756262010799,0.5765091213616067,0.5747861998645346,0.5008565936032331,0.4469053804989674,0.461627957246367,0.5251460471663367,0.47405050725264186,0.46602099995442736,0.4956183899771442,0.44624022627232984,0.4941098742998299,0.47212490190378575,0.5807033577904543,0.5252699467479135,0.533490571393876,0.7043392441089257,0.4971306888729565,0.5284065392226573,0.530457893395403,0.7387517580705886,0.7869564497016006,0.7139236399260411,0.5727398870542046,0.5755552977184724,0.5744822880013948,0.5332867292465291,0.5020435479826595,0.494506177800537,0.5024340336305887,0.5826876154162233,0.6750820568534558,1.047873185862713,1.9405302737727783,1.2041015955736936,0.7797316093033385,0.6032894934120042,0.6027701866259915,0.5861769800967908,0.5675584922825141,0.5195194843062135,0.5142390080927877,0.5204191292264826,0.533783652998303,0.5870768947737948,0.557079818846009,0.5255086424108583,0.6516270310215854,0.6405906290625938,0.6269282993918602,0.5203558175304248,0.5317078272210115,0.5222618339092329,0.5249086381755012,0.5064025560544105,0.5543827836780822,0.579462245607891,0.8410414942294226,0.6045097740522156,0.5968851424741323,0.5745419011169871,0.5144136795976411,0.514493676473122,0.5077076886193083,0.5267856831314253,0.638248458744772,0.6975173738265371,0.8563782147698019,1.6930551912943503,0.8968873597406197,1.1342557565100428,0.9613981334616214,0.7663455332039012,0.7043467733904664,0.5510789713789771,0.48568059983225453,0.48891744071984383,0.4561270905933548,0.4635409507199729,0.5418696679465802,0.468674841413616,0.5253471785380599,0.46275669404552255,0.47497338971187736,0.526554165610217,0.5347556772338907,0.5790651062157026,0.5598788643918492,0.6599860566058687,0.5759595456793108,0.6370853640377371,0.6880181763258769,0.6753074910122506,0.7561739458754556,0.8208365777557706,0.7957573832697676,0.8898566381477916,0.8071570014571362,0.713717492008192,0.7429105889583917,0.7703743294368592,1.956228164476224,0.9431126811074726,1.6294925879551092,0.7822101538340358,0.8538939052580032,0.8883542344604409,0.9632597382633253,0.7512463692355406,0.591405509700508,0.9223797346663275,0.6658606258922155,0.7353016219324198,0.5850038352093819,0.8726155946387615,0.6941968263421164,0.7822243135784437,1.0720052916514593,0.5365875989813536,0.5398737395497757,0.6480737727189874,0.7739199319868761,0.9195248732526942,1.0707588694593182,0.9915486526935707,0.8934693967296112,0.8768893227720495,1.0683510199702402,0.894802424860278,0.7636637816942063,0.9391700486667849,0.9806100146545914,0.7514594288024973,0.8505990758152645,1.0612410427265662,0.9631669823498127,0.8248470617577717,0.8768564894670704,0.7916891746922283,0.798465404427734,0.7801584548619167,0.7550699097834964,0.7695994569062785,0.6720693946366222,0.667519575180724,0.6620754842604664,0.6883815836831093,0.5635280164345925,0.5950909959219657,0.7902683621841762,0.7300957368203668,0.6759279794237796,0.6715791524011183,0.9987826602969253,0.8818634093500106,0.9058314330307902,1.0620757358776003,1.2868316752578548,1.2451226828411586,1.0042049354055422,0.8007436113070555,0.6825731532747445,1.0496147233740243,0.9713544328020097,1.0320075222314804,1.1354186575544607,0.7159651895993382,0.5838056150670454,0.49058685554566644,0.4952508046776031,0.46047236812995535,0.5117284893600806,0.6166318359450974,1.0951813415483125,0.5084036273558994,0.5515864221888243,0.6995284054693318,0.6837709997429954,0.53666059041314,0.6934692705624226,1.2365002579194604,1.536779675457289,2.180805946071409,2.887695626145514],[0.493275333110852,0.43410080118449146,0.482121944015801,0.4613659757808357,0.44496985410641,0.43916206992835105,0.3429807098632399,0.4360868598841109,0.3526285525960634,0.3382077677685891,0.3933588190384808,0.49447649253561515,0.4116432669637972,0.39035178736620446,0.5497144002050762,0.5429526027616736,0.5127152769157908,0.6109699165427606,0.6823236044202502,0.6486115023669071,0.7476334882158736,0.7334544077908093,0.9049461409514047,1.1083384201060051,0.7069621827398367,0.694432105820826,0.6027427994231749,0.5160480595616794,0.5484881077765841,0.5617670001192357,0.6528997288412006,0.627995196261708,0.775966331739811,0.7109934865925047,0.6301391837955244,0.6302634035334809,0.6008452674674086,0.5595528609263438,0.5237960561130857,0.536672189097848,0.8236900484918896,0.677806353534709,0.6963094353460499,0.6953002631874026,1.062115364229197,1.3056287574883947,1.2406124608055293,1.0533553113092915,2.0024333608533498,1.6063697991128363,1.0337881784926481,1.3459813131833827,0.9843057485008783,0.9014629473059228,1.617665586259666,0.800272025932988,0.8844470987225916,0.794995629072369,0.9012498728225838,1.1028763973872682,0.8262543743082253,0.9346835604817121,0.9138201561116863,1.1459449450734294,0.7928553811858717,0.7753892362650802,0.9746176694793238,0.7550907800690719,0.9996456736363527,0.777339274244169,0.9563143361434675,1.349099796227715,1.0149895868953618,1.1273089550679147,0.8042109361836166,1.3553725878553349,0.726707662952052,0.7659148513480254,0.7008357343293108,0.6620182708094962,0.6908892405910869,0.7207950150846703,1.1307760596019192,0.7586350637510693,0.6241417348394392,0.575464347574037,0.5840768212974812,0.7242064342114534,0.6484278113743688,0.7368637585225807,0.6856813180194682,0.9313082451015136,0.7800902052287569,0.7280933764479177,0.6569060204274159,0.7317018304579761,0.6458848907475122,0.6412779337252791,0.6297514468872861,0.9584450706369056,0.6763478876932929,0.690663642207165,0.6353148588987452,0.6145983226241398,0.5755902373349595,0.541590921266034,0.7701709501374734,0.5012510087777857,0.4932439468670794,0.7375906557274425,0.43322291401085855,0.4006418618932548,0.36181268430132074,0.37961221275129664,0.45817695667747843,0.4449242320730523,0.49169790689202514,0.5201118659840362,0.7035215394251907,0.637006875994797,0.5644100698852189,0.4877304445086164,0.4594649311092671,0.39315914437121013,0.35576162007327816,0.38100988256081464,0.45684456617545177,0.40039768465456665,0.4116248946272361,0.45348731859035896,0.3861455230402241,0.4723970519380877,0.40797329371727337,0.5816840152603079,0.44807807464463567,0.45987292506828586,0.6463941786881061,0.40900818038174197,0.44216185688901916,0.4408266270924195,0.6377749233766068,0.701028652028981,0.6243084646797453,0.46640229627004537,0.4777754524323098,0.4973169614555856,0.463854573809395,0.4332769182976922,0.43939993233004165,0.4366784103059203,0.5320164761129945,0.6190639805200956,1.0524768483633333,1.965062873564441,1.1707847687352508,0.7754169970548968,0.5796633415715313,0.58269807298945,0.5523563928453775,0.5344633378737966,0.4603135951035867,0.48016837967976816,0.4266275526764681,0.4694413718326345,0.5126657812448788,0.477760070261487,0.44720400555500567,0.555895467672757,0.5664300190800718,0.5512756234743275,0.44260214881722215,0.4566917312594429,0.4732949270082436,0.47147408085558035,0.46950612969305167,0.5266182251796666,0.5473322530066452,0.8203673673272909,0.5555602194757673,0.5922794337104821,0.53760602517526,0.46873733234620885,0.4718427215382966,0.45745563193474253,0.48750081823391006,0.6156559331334245,0.6435628533169455,0.8382166377258271,1.5805582811823278,0.8540984041431348,1.1362041796067406,0.8538348876196115,0.6971260032598069,0.637231498914328,0.47769162976802254,0.40305147748471165,0.410669847124308,0.40868812816527844,0.43581042217014376,0.5255376520314118,0.46839948629654576,0.5299823336505638,0.4453112991676337,0.4653023292502364,0.5170979111615336,0.5211639286670666,0.5779339871907344,0.5268782862108651,0.6451394147636513,0.5578924267511333,0.6140262629368257,0.6596320040365269,0.6538079143751246,0.767867646387456,0.7937882179726001,0.7823033219853504,0.8515371725383141,0.7918080266816809,0.6867872117760593,0.7062997296934103,0.7337149044032908,2.0520349712433936,0.9587000993492374,1.6749761630532818,0.7885701092924925,0.8723745898630493,0.9066145284625652,0.9832660940913919,0.7336588680422567,0.5625417944002464,0.8980452930940706,0.6467264261929203,0.6889463227265497,0.5426645334716761,0.857666310150964,0.6328999175585928,0.7464922003902189,1.0316885522380945,0.5246348976994637,0.555630913068331,0.6837645300494559,0.7897402821142788,0.9469062367416361,1.075024039292351,1.0122871355542886,0.9159937842352739,0.8991935049505799,1.0929007065783822,0.903950341075524,0.7647950411239386,0.932896729075918,0.9611562219135525,0.7400082508824877,0.8248012569476906,1.0210494911441421,0.9109850777856935,0.7972400726770268,0.8582310847281217,0.7703461856333599,0.7721848409662705,0.7511367133400724,0.7328823058293791,0.7473234691996272,0.6346354950564116,0.6359331556581258,0.611538999163461,0.6308632240186686,0.5242387925587777,0.5585277872367229,0.7114349159471847,0.6689095955040774,0.6156583827951015,0.6348339700722891,0.9437097302059241,0.8376061108576855,0.8625870138053274,0.999847797378815,1.2528817825804504,1.1782614327130216,0.9607811887493507,0.7778907658194247,0.6779266755747686,1.044461845699829,0.9215445726968965,0.9683473861265843,1.0622102373954216,0.6837456196729162,0.5536179131641089,0.4690489021855799,0.45554992377540726,0.45896350370412636,0.47264241143811475,0.5897856492034645,1.1424334056997325,0.47044763457762856,0.5224205749520985,0.6899803010879136,0.6113050133206234,0.5387807385282876,0.7258841412603396,1.292672475506147,1.5498432037147105,2.167202697542869,2.9410331318546654],[0.6639521383014926,0.6498202827160781,0.7270040611587686,0.646219775394745,0.6684958052751423,0.6782855034684294,0.5972215173041201,0.6926870414276745,0.6048479287477785,0.5293785074075257,0.5542164974020428,0.6816025663335501,0.5853133768782773,0.5190379554496514,0.6339746194669016,0.6526478079701474,0.6087159756685773,0.6800300234679021,0.7449756981448182,0.7147465116249588,0.8154577422930415,0.7970695684279979,1.002148309412861,1.1904010167490824,0.7626023891106128,0.7535612466765489,0.6936175162042585,0.61343723895264,0.6396604897166075,0.658543007266234,0.7145217403574867,0.7355815932813692,0.8712716556233514,0.7789141055959439,0.7149064473481782,0.7088635079910913,0.7055627260425997,0.6614097113988754,0.6242258217994457,0.6477921060449218,0.8633052035325399,0.7654638189720959,0.779001157164981,0.7653822481280445,1.1736888331698438,1.323672703291724,1.3188645023431376,1.1767851769690947,2.014317614539225,1.4964210361169614,1.1351463691685098,1.4245146023317303,1.1541762981277128,1.0311461056402365,1.7775630199729815,0.9047633244514918,0.9223852184246925,0.8921497268907468,0.9902010567674085,1.118982785156017,0.889308280263267,0.9907074390115694,0.9769233289645368,1.2235949660178023,0.8705261790025397,0.8398136944773773,1.0370743656926085,0.8107787650960503,1.0421909434979177,0.812348041205261,0.9841899637296926,1.3948525219311836,1.048786674656312,1.1650882142362955,0.8529842054887039,1.365162731282222,0.7994662599376557,0.8242281219143499,0.7642586669158318,0.7457584405908794,0.7853140354331707,0.8139090651664249,1.2223748303352193,0.8715346117068353,0.7158104355962768,0.6815638115281908,0.675205310687842,0.7929259767090776,0.7214896615179541,0.7836708755168579,0.7379953386851204,0.9485104018347074,0.8231769829118589,0.7849381976865063,0.7247028241761428,0.7750741332874377,0.6967156603399006,0.7471553717170921,0.7693132232391636,1.0962202796906442,0.8185330884862684,0.9022747451737589,0.8023204373459495,0.826814450813906,0.7729599423872767,0.7759168879239948,0.9562656926234335,0.7332305545992319,0.688566810544781,0.8992859914766906,0.6688462220592493,0.614603030768101,0.5860489277268078,0.5588552243358342,0.5926346996478444,0.5621633553543715,0.5757405270602157,0.6044338138426371,0.7794975490576486,0.7082846002781155,0.6416523882375976,0.5898935280847214,0.5598240236479781,0.5321769420733248,0.5412721423866201,0.5556234476661757,0.64329153194463,0.6176400274286475,0.6563263596886227,0.6767060146256194,0.6252508420369166,0.7097360570975925,0.5994813296643704,0.7482951907502409,0.5838494726616648,0.5781843051004728,0.7060980242248127,0.5239322523566244,0.546518376900738,0.5606792988084045,0.7161045021821302,0.7537750491242016,0.688275777542308,0.5620613516980144,0.5924969593834681,0.616225894161544,0.6001858569955508,0.5856834562094125,0.6286122167508255,0.6139965273976734,0.7375198346247459,0.8229251291205113,1.251866470865797,2.1470215872146254,1.304251956909401,0.9751630754583199,0.7586194083206564,0.7832201696594964,0.7158154265999052,0.736318966990441,0.6327356720358228,0.644716497474121,0.5818951915780095,0.617026533097055,0.6309185900399819,0.5833597458880688,0.5717480006167525,0.6451274398363522,0.6292221289306728,0.6207480872747784,0.5761858719224865,0.5711783918619783,0.6244289442711092,0.646965348166518,0.6573958465011157,0.7082247898471578,0.7090700909527097,0.9701519030328024,0.7120893361550875,0.7940113895586901,0.7019446947647484,0.670672702053896,0.669097357053312,0.6253284732552353,0.6273308208003401,0.7359520605921713,0.7380912997541743,0.9561346443107862,1.5556954871666426,0.8655678102435642,1.2785030047925303,0.8412626805713442,0.7325644656466208,0.7090323491292839,0.6245586151912867,0.6243701464012493,0.6280346968193873,0.6730090061977725,0.7117684971508244,0.7876305065327396,0.7414143879728999,0.7813060918457465,0.7272406501657043,0.75039313589722,0.7791650653123374,0.7825747014199951,0.8223612383618173,0.7883917689746587,0.8943465713351387,0.8023198211804551,0.8346380716555987,0.8925526514740334,0.8878679351842859,0.9569102554452209,0.9688042915762751,0.9540681460893042,1.043691794591633,0.9494183373069505,0.8846253718781808,0.919321833804945,0.9299923839052556,2.2350990792267154,1.151446094751473,1.8198657941226426,0.9975210958544674,1.0993079280503455,1.1103593355404715,1.1972345809261398,0.9474691404689114,0.81516741158327,1.0917700526846166,0.850737996093521,0.8133954007885882,0.7525403950885402,1.0532365814736748,0.7919499434915976,0.9185586827678914,1.1596844390967296,0.7632551923834454,0.7618965041883488,0.8962883934148608,0.9782181357721238,1.118887354894159,1.2119254175443703,1.1704377587692136,1.081241556683128,1.0938576913158022,1.28757255100287,1.077932126314235,0.9621656096004364,1.1084971101170373,1.116355872074033,0.9530689000878853,1.027497018064593,1.1830526687808556,1.0781196702758378,1.0141173895202482,1.074753598550377,0.9913427243709151,0.9965141830749319,0.9573369839700824,0.9508964650131966,0.9753934758377322,0.8698285478124681,0.8507256690844863,0.8322104243366657,0.8358472389986373,0.7670113100587993,0.798464341154222,0.8641775630144449,0.8350498355059051,0.7890278106134531,0.8219285171429348,1.0404515102746892,0.9640205263397637,0.9726087518600646,1.0878593566704928,1.288942687532751,1.2435657381477203,1.0612195508144968,0.9230108886879187,0.8717052949250392,1.1645033082979261,1.0423895955880824,1.0879268063026506,1.1863215124783675,0.8947526461722383,0.7829180712173931,0.7340294588511647,0.7028215194632139,0.7496851872559697,0.7202968357361522,0.8288408603282321,1.274399588738094,0.738096558083953,0.773075417246116,0.8893677631410473,0.8243603270890643,0.802966397763798,0.953481507257559,1.4437301890306469,1.6377197148380074,2.23347096936778,3.0691238165498627],[0.6187471554521922,0.5685466260099831,0.6205004602212878,0.5809396675641472,0.5795174908496713,0.5927870753100334,0.4946610683615115,0.5785706495267651,0.4978883118499902,0.44066962241065627,0.46081933649671936,0.5923115937015224,0.48238679344468327,0.4414931110823524,0.5842704897141108,0.5924581006801071,0.5700600431615349,0.6615744287693709,0.7618315032248302,0.7133965805967378,0.8295195703130092,0.8048165671635814,0.9983103620855002,1.1809279984591252,0.7775477460689078,0.7657546574158486,0.6734341127615298,0.5866781033541103,0.6036479855701773,0.6017584593559264,0.6800909459297949,0.676201986964407,0.8246309028902868,0.741225085379886,0.6637010884219513,0.6721469160302466,0.6480770854551695,0.6161952745538452,0.5848846757119388,0.5944086461252344,0.8686695843321394,0.740711464782677,0.7553364417551425,0.7414580116573568,1.1074861934760245,1.2612922696031883,1.2682371152867395,1.137913359308213,1.9770779872564848,1.4865943060001776,1.0924211472864211,1.3295712290345645,1.0595610840958312,0.9342307021627682,1.6791378591724722,0.8993455321577941,0.9399665200288898,0.8920332885888901,0.9844469644749018,1.1396971349063585,0.8850298209129143,0.9932087026400644,0.9695430100405694,1.2296386683634555,0.8735838840965856,0.840938939957216,1.0403274003941354,0.821682574124285,1.0572293458187323,0.834906131705196,1.0149331228139291,1.4454601092668222,1.082986469861087,1.190418090017764,0.8537601432335891,1.3778332026413438,0.7832474610831901,0.8083091412798984,0.7404523869170943,0.7150311329444334,0.7324503712220026,0.7769055606593958,1.15697791607246,0.7899311969482807,0.6743477963783544,0.6274113418769749,0.641386845651288,0.7215786288152893,0.696681408179944,0.7558012848803267,0.7215383044481084,0.9591984930462879,0.8045712824218275,0.7525032547669176,0.6827638987807632,0.7375338211160013,0.6605923258332816,0.690021853181261,0.7009657421103165,1.04218998167565,0.7462137765617379,0.7987270372368526,0.717435194058264,0.7144151269854653,0.6677938339842746,0.6666188809037272,0.8550187948854067,0.6179718341070729,0.57003608849729,0.8179684707534034,0.551398799362906,0.507512244248782,0.4732454952714754,0.4675107843702538,0.5372146811198304,0.5186035328847575,0.5524918007638299,0.5863795801801095,0.7589829389934922,0.6900517933836937,0.6338817339625308,0.5511032013323878,0.5178791953935343,0.46104892112030865,0.43669322955764317,0.44120520581962885,0.5883188740782305,0.5032216147077855,0.538362245049571,0.5885153210929464,0.5170209423013231,0.5928846997345091,0.5021230173769674,0.6644079697799737,0.5198361962409515,0.516251867235541,0.627282414525213,0.4592802215938325,0.49602090420230466,0.5013386552934119,0.6753750826569688,0.7433327810378818,0.6780156256784742,0.5364619372227678,0.5529115217473882,0.5701882781262438,0.5372465528139757,0.49215398121111803,0.5165149517357103,0.49763550397083667,0.6102747402738005,0.6994432085161042,1.1003681086046257,2.0736389644369235,1.2683020437985082,0.8598738462313756,0.666360700019878,0.6771470436056923,0.6307981653474847,0.5998192306404436,0.534834347854982,0.5503679421153613,0.502845858028923,0.5328343227559571,0.5720712112777889,0.5282347897921643,0.5070082165538011,0.5802244956381738,0.5741730194907325,0.5718949452099458,0.4974784435898303,0.49940880869475723,0.5372801289262307,0.5488015668011772,0.5504457205459705,0.6069833109751784,0.6210382133189979,0.8819630381933703,0.6187416971025963,0.6902395789861928,0.6094669752595286,0.5531215085279968,0.5546229696551639,0.533155303562364,0.549217974671111,0.675087997133571,0.690253232634,0.9452945090020468,1.568230095070421,0.8645866492517754,1.2072113299329201,0.8598725917450544,0.7155025730969744,0.6732784314301228,0.5584733498360847,0.5040467359370291,0.5057122656709541,0.5528106561329463,0.5886071994909191,0.6674372052773514,0.6192968435776245,0.6760314485597028,0.5994346433261357,0.6308410179603706,0.6674922183991404,0.6707380415511376,0.7270303478158766,0.6805919839303296,0.7941077378157909,0.7098293516228097,0.7472750240325974,0.8052247804680387,0.8134714639383454,0.8983375666796555,0.9023029877988671,0.8897618712391171,0.9576390268375066,0.8679569951397573,0.7836096561566965,0.8133795716500123,0.8122126822146758,2.1405098312496333,1.014003197123508,1.7393593872136928,0.9112479441668363,1.0083345934353138,1.0092336050054982,1.1245897833316127,0.8603516751415384,0.6956523829285831,0.9632890813469132,0.7527680663802985,0.7536276452789503,0.643260707321867,0.9714377517659746,0.7147788996251461,0.8388360277307699,1.1160551046380631,0.6640261214612031,0.6771648202070699,0.7907774739936566,0.8910308351983536,1.0471928017269856,1.1569412556964787,1.0842552733040243,0.9888976961691023,1.0027741864479927,1.1799300594531856,0.9895628930555768,0.8654818799379028,1.0216718964947957,1.034486417977757,0.8563160656593606,0.9255827875713618,1.0883472531448608,1.0139192225909786,0.9216698040323201,0.9775395240340424,0.8933367017543632,0.8915934821163717,0.8520420996917251,0.8424865271879841,0.8652982268678306,0.7665512650081323,0.7413523025438724,0.7263533214580441,0.7368987995756995,0.652790448199877,0.6870524342411984,0.7740910750318394,0.760174400906963,0.7120897912377153,0.7263848692721238,0.9932553548019517,0.8921115048590172,0.9141675784015708,1.0434672091737796,1.292951569652386,1.1797203350758398,0.9915706132526091,0.8523507729714824,0.7833565085785882,1.0877840560486618,0.9461360737352882,0.9826004884962741,1.0744763301873583,0.7909984670239855,0.6680693123234321,0.609814639478471,0.5803963531998851,0.6305288922877699,0.6019880552745226,0.70310954036898,1.205624612938241,0.6343159614066259,0.680985920261962,0.8235168575775498,0.7244897691750711,0.7143206988642887,0.90638214176021,1.4896877646624818,1.7007275357737899,2.240960737225473,3.147796667285337],[0.5139386064898528,0.4399993324717026,0.48587677793508005,0.49207277537442523,0.47052865612660666,0.44731026412603164,0.34683483740163035,0.4413213355755008,0.36454302928609084,0.3112233238783089,0.3541112467272918,0.5254164309934377,0.4017643389594996,0.36434865978236014,0.5230598781906945,0.5392811122870004,0.5153926148042376,0.6249755725550821,0.7311829932417191,0.6849386660429315,0.807349319729362,0.7850263332188254,1.0040808806268375,1.2050016709613267,0.761397137659548,0.7420469852537916,0.6453367845204385,0.5446797708284502,0.5628913218907449,0.558089657853587,0.6421800333742237,0.636830090439701,0.8379040383508544,0.7334067711813996,0.6392458240289054,0.6353419899963652,0.6003706663091978,0.5715933225050023,0.5475358858555784,0.5626061716292716,0.8378757936990342,0.7076562477455213,0.7373693587959126,0.7140686912724588,1.1214722447484786,1.2422972323313477,1.2928812822172475,1.1240360331706027,1.8974683161734234,1.4196617640751943,1.044245054425686,1.3165492178436404,1.0449165454248899,0.9366495822580428,1.653973122147179,0.8608343012058804,0.9039702661014302,0.882168628336776,0.9627916063967434,1.127536532045587,0.864075055932642,0.947712928377765,0.9273106345182222,1.2000855341181949,0.8534102964382553,0.8112285830969619,1.0220127459286859,0.7929008590486756,1.0408683801282312,0.7950752010620183,0.9814803005634617,1.3854186407873539,1.0284755546428543,1.172518387319789,0.8201841624271187,1.3897617688347483,0.7451372872985571,0.7732567739983129,0.721837919081429,0.6948629340590559,0.6956790796709458,0.7323914626962564,1.1126789835718747,0.711434451767215,0.6156657294139708,0.5733531192503669,0.5964374358194473,0.6938576481641349,0.6654098534072158,0.7392840726161799,0.7065652414489142,0.9390246226148605,0.7807454208962666,0.7487576393633517,0.6747150251676053,0.7332169340733785,0.6177128028955576,0.6771529265135358,0.6717960232169228,1.0249805769733105,0.6981638325682449,0.7073749082624617,0.6472438256107416,0.6258096811563211,0.5699292266414316,0.5394644891592648,0.7491633331889569,0.47758709313649034,0.44510062437698306,0.707539971541856,0.4192157666678421,0.39640544508879966,0.36583166737870326,0.39751797179932263,0.4927155253541952,0.45753027050896505,0.5162439193853281,0.5499236171737601,0.7379507559118641,0.6526327138683344,0.5868892162815664,0.5064075187607832,0.4860823076549751,0.4009250315214429,0.33295605173485626,0.34155714617523814,0.45574845746896636,0.3846460773230224,0.4030673152180134,0.4628102900952449,0.3849084760342033,0.4571834715519439,0.3934809976436848,0.5647449495471086,0.4207697021751291,0.41941023503361263,0.5741191495322078,0.3919823681971807,0.4468890054458809,0.4439099721786699,0.6570313878050901,0.7465516049808304,0.6594339827297623,0.48314996462463655,0.5128623924593448,0.5050761319430551,0.4594695602831218,0.42019337640403087,0.4389886969401102,0.41372700174249954,0.5250204526125035,0.6416791932657884,1.0225869069234172,2.0617316503277117,1.3272374005163659,0.8107580098862535,0.5912579029013902,0.599623911225358,0.5566060226143991,0.5112505243097084,0.4454786786801627,0.4919789901297168,0.4373856438032622,0.4785160963756693,0.5253347557275876,0.48448969825361415,0.4358357199303062,0.5496116831030696,0.5165067470626349,0.5161982611867975,0.41384608978101384,0.4320712066106921,0.4588944779008692,0.4624812825012966,0.4719262486182665,0.5376751958466848,0.5525218864743241,0.8193031966923733,0.5523362047951205,0.6020619223291871,0.5384491093210388,0.4625463849277308,0.47033499228136405,0.44880116703687745,0.46277268618238776,0.6173601520057853,0.6383153237445072,0.9271577674679271,1.5680795754767993,0.8322343997928009,1.1471632358174668,0.907971981747366,0.6927437758895839,0.6229721091857378,0.4771205105643147,0.4027053105839897,0.42047147519489253,0.40778127037762857,0.45478841381273866,0.5621547783415214,0.4819045020159591,0.5401503288319225,0.45982133493165633,0.4774769950938341,0.5183240875602984,0.5367750768591723,0.5976886092076562,0.5462098494046431,0.65898978850407,0.5902170349151653,0.6360403712337687,0.6772677114123619,0.6912225527180587,0.8051011687132044,0.8112440128643892,0.7971687996826883,0.8745174237464353,0.7841214564170725,0.6771481632140625,0.6933969476035566,0.6984581024839605,2.0023024558724063,0.9130203706918204,1.6537189952241294,0.7912425939813321,0.8536172533814287,0.870310230296276,1.0009346255567182,0.7148137967071142,0.5541003553232149,0.8852076161660273,0.6618546399284109,0.662854201976065,0.5403515969203768,0.9167193661669634,0.6497159277087116,0.7547914429954351,1.0743809982406338,0.5295661052465225,0.564089240922227,0.6729726100018656,0.788553146164417,0.948249972330301,1.0694644541760618,0.9991504855448491,0.8927869969943109,0.8708693729730639,1.06162137494513,0.8722337055977271,0.7362506067031033,0.8999721406694753,0.926297412688676,0.732283069682109,0.8007387761271584,0.9802423115728843,0.924887892388287,0.7995733490494951,0.8540966403469962,0.7624996113805688,0.7577247006035557,0.7269749232750378,0.7107125294386414,0.7293896849122372,0.6313188916840929,0.6178051691260821,0.6039220241776906,0.6366846427634438,0.5286116726816479,0.5486264817102985,0.6939672010901258,0.6789372306607291,0.6185793555739394,0.6243729257209735,0.9239463309689968,0.8305562742779005,0.8548291001450075,1.0473942019273217,1.2961055997175697,1.1081190022110983,0.9423445539776936,0.7770811830031293,0.6967955535749968,1.0316812951206338,0.8763564275125482,0.9174562000886903,1.033258339779856,0.6875753974956764,0.5551646344389978,0.4752293100703596,0.44647587020764884,0.4938844490966294,0.4755517827241724,0.5902463351392793,1.0833094396760683,0.5048079185053207,0.555940105766887,0.7320568900088293,0.6128326362238312,0.5792398201354397,0.7775156686068552,1.462480974947229,1.7558990514470652,2.2450935474366434,3.194204117074563],[0.5228462703362922,0.4439812275923186,0.47892571551169427,0.4890410668326096,0.46639324379267666,0.41668083324470173,0.32150431228768506,0.37398427434246895,0.319294797076026,0.292133773541239,0.3252407686026901,0.45596347035681484,0.36625892985421576,0.3494878676560288,0.49530860392973103,0.49252630913817264,0.4807677140712069,0.5802344895091438,0.6533845395237063,0.615897476282843,0.7157345275592649,0.6945855565621052,0.8801811855101553,1.0869332423051088,0.6799551826466598,0.6714761570955864,0.5865055563401947,0.5073698862103316,0.5194414046406809,0.5171437340102504,0.587754613369286,0.5652200232718043,0.7415665767061506,0.6434327608066055,0.5694925851672293,0.5805659498807225,0.5383955121146476,0.5216415620057575,0.4999711670152114,0.5135140796740403,0.8211530317763148,0.6685102974189541,0.682937506185508,0.6889458505753707,1.0581334096834316,1.270280947440162,1.2042622448586566,1.0597855493892587,1.982612774323342,1.550553667503346,1.0317511375404207,1.3490133158658113,1.0013250931262454,0.9164911028465124,1.6328023103732179,0.7838994080028605,0.8496667844023595,0.8157233403830426,0.8856207509088425,1.0855801597229602,0.8033325915096609,0.8744244435484152,0.8487731703372637,1.103117019123206,0.7601718915801671,0.7317914512763505,0.9436395286554685,0.7165833570081521,0.9668181815352023,0.7507236727310443,0.9504231690958433,1.3342603457354887,0.9820433612015276,1.0758159323295802,0.7605572961195817,1.3287855843328715,0.6696263003648002,0.6856133640387495,0.6426093646492187,0.6270370704896974,0.6276183592132055,0.670736032183282,1.0910524246440343,0.6592794766930081,0.5760963299478851,0.5198658934641471,0.5394876378577886,0.6494092911342216,0.6041509901494463,0.6664602101043174,0.6347715863623562,0.8726802018658388,0.703643050436766,0.6577633927278258,0.6036728588452546,0.6758266392061326,0.5788788034860932,0.595798449079669,0.5913823652276106,0.9235470081273753,0.6066241649087041,0.60900609860031,0.5614935628936404,0.5514240351490725,0.5063551596853139,0.4825173966801139,0.6913537298913196,0.43126738024570077,0.4225559528696157,0.6686956958418343,0.3800656550447101,0.3673868851137257,0.34273071296447555,0.38753038913720605,0.4849241217927393,0.4475063099764689,0.4919870727496485,0.510243051044219,0.6818841856577377,0.6187444666604647,0.5513124311576788,0.47820181008098683,0.4585941961669254,0.38948378945099116,0.32820225245860635,0.33261934680216,0.4667456616366594,0.374586867813926,0.3828532894150294,0.43208210840163586,0.3658064459339075,0.4227375272514945,0.3773875891616903,0.5343915404821028,0.41290649812239566,0.41248069635444173,0.5650951670590526,0.3841380441158782,0.4328706902197918,0.43410904067111256,0.629376916510035,0.6773977407921286,0.61125538369156,0.4653251047093782,0.4811374749314607,0.47943366023257017,0.4412285059840129,0.39876302016056653,0.41071217308303876,0.3853875822531541,0.4778433902265301,0.5910487310837214,0.9360725702506888,1.9825237177097998,1.2996474172257737,0.7265723250449945,0.514083999845166,0.5262940598983107,0.49751385813438087,0.47703469555853945,0.41987392937321105,0.45474329072961406,0.42011464353894373,0.4484529489766626,0.5107159014422564,0.47374316616703027,0.42889865383032383,0.5371946654672469,0.5115431208520467,0.510638238745078,0.41087238943153453,0.4299163786307764,0.4502152359359624,0.43777494673339123,0.4296492559751489,0.4890402265671496,0.5071239788245411,0.7687341612393713,0.509612125872769,0.5485858013743726,0.5067307029973102,0.42754966500141595,0.44087113976836373,0.42420863720220825,0.4459633837178492,0.5840408621186289,0.617084978947113,0.8645315499571443,1.5723856855305083,0.8211321265320897,1.146066032338085,0.8907711207434026,0.6900571174925019,0.6203291468699609,0.4714525460777246,0.39598068805343617,0.4096872824936748,0.3822084727985689,0.4305356508035754,0.526212301784283,0.4420137175429856,0.4878559855470496,0.42372526963075047,0.44662157999316093,0.4808780244504859,0.5050384503358855,0.5712928314516885,0.5245234269854652,0.6040206152927082,0.5707257361764382,0.6275779024755301,0.6556378088070293,0.672087423336177,0.7912104903961903,0.8046076468597027,0.7975396204276808,0.8534805476636615,0.7851010851708,0.6801660326390212,0.6736762889450865,0.687466622468602,1.9891551657465163,0.8738584688737132,1.5909084112510448,0.7331990476852512,0.7814734935965649,0.7915897677661313,0.9333171589610032,0.651440509601259,0.5053591440747451,0.8414795670704839,0.6422634265476177,0.6575404501280331,0.5116361598735023,0.8983992801996558,0.6392285448140231,0.7403073833120155,1.0761490431402143,0.5003083059546268,0.5200026404693319,0.6163719097218489,0.7366004504903988,0.8753433628970957,0.9870628891877907,0.9116248039571715,0.8164395207128194,0.773447417867524,0.9546065153112091,0.7744871507627175,0.6666221405190733,0.8160981355773387,0.8508479557001513,0.6758502095132488,0.7324637477777949,0.9075089531673105,0.8853306414912233,0.751200544882604,0.7870685934269623,0.7014538339517934,0.6863438678518554,0.6601198588871352,0.6436035584653307,0.6704164799906206,0.593103123055994,0.582920622869974,0.5749828037509725,0.622079932543867,0.515456380809034,0.5193088447328128,0.6974246270827357,0.6801431771942252,0.6185396470370654,0.6313237174066538,0.9122775264761974,0.8256756527088499,0.8564167382202279,1.0622768387841564,1.3095698138057361,1.08108655518854,0.9362602374447675,0.7881559804010434,0.7051584110255659,1.0406210950499994,0.8621455531210747,0.8975630590353344,1.0160273250004743,0.6686011128524536,0.5396093426141654,0.45062729096814413,0.4259449169224525,0.45945473336075027,0.44368913840862495,0.54977981565752,1.0684552018394127,0.4662400008507674,0.532973720215529,0.7135719103647944,0.5801868587618183,0.575504685012766,0.7903662448656643,1.5374990514863391,1.9143807189081274,2.3408165581123734,3.37365366251029],[0.5584489178278979,0.4747872272403772,0.5392307129932028,0.5100226523236385,0.5234934851485593,0.4740818573677422,0.39314188214947826,0.4677944566846491,0.4067271620666285,0.372456167784262,0.41107439792724026,0.5924307821705026,0.4578321480533374,0.4294679636027123,0.5673001492538333,0.5781089065347234,0.5782378015829944,0.6880361979304932,0.7735583911872729,0.7320756238405774,0.8392855038450907,0.8129002142455126,1.0133451281517472,1.191200609269342,0.7910203857990536,0.778553560006481,0.7068368887197297,0.6166815040283696,0.621658904034313,0.6085638090223296,0.663990295411746,0.6528799131687575,0.8199692874277191,0.7127054561892664,0.651738247909806,0.6689115364024218,0.6402872862447485,0.6246543569707449,0.6070255327163512,0.6175965255829158,0.8596949289798015,0.748065556797368,0.7606443308135151,0.7519075771288869,1.1257661081818393,1.2268664204760251,1.264365429441335,1.1618238651012949,1.895925384640429,1.39009626248853,1.0727794179300194,1.314973854975977,1.0772845886367077,0.9532906193679126,1.653716275973624,0.8714771402604996,0.9260974536193196,0.8864723951544556,0.9682633001586793,1.1128468742412225,0.8766118624456097,0.9470502149868579,0.9270786124170084,1.1699201470391087,0.8558293461706943,0.8229412254131625,1.0571780199399183,0.8229796730219595,1.0488980981651024,0.8369080366836076,1.0436651103788317,1.4673751960447625,1.0777566592507486,1.1584923901005244,0.8341696915826441,1.3671398763220148,0.7467158290337005,0.7491026369812559,0.7164028930830362,0.7077268764224298,0.713857117255267,0.7661672745319921,1.129695985230035,0.7654998486818924,0.673641287588225,0.6237502286241939,0.6326635222453517,0.7252600170463112,0.6892127950178162,0.72892551474224,0.7007701114339299,0.9076903437919406,0.7484696939642027,0.7129987181045208,0.6720736508367362,0.722083156364387,0.6371251879151094,0.6844875974719707,0.6976298830650346,1.002150778852117,0.7141354469796524,0.7270049868332364,0.6837745143690009,0.6853336975093621,0.6282793535536065,0.6027215248199671,0.8070438584261579,0.5488789035830882,0.5154965715465802,0.7439952835579826,0.4874865233646979,0.4712484826675892,0.4439353098970813,0.46671523759236544,0.555695048423244,0.5345346750121042,0.5961551794835118,0.6156446569138203,0.7845763849457249,0.7321005875095369,0.6495771198394863,0.5675589457206901,0.5432923048450282,0.4486934462028773,0.3748397097811413,0.3998554120805263,0.5554739484730289,0.4551794257783702,0.47567456541834213,0.530368418390199,0.4646943363314391,0.5196434596399412,0.48300122244994786,0.6317752126002861,0.5023056008724711,0.4887464655927051,0.5959968834063595,0.4515395235954093,0.49721528591693176,0.5204490135100531,0.6942081037689214,0.7659296338678191,0.7098055183454457,0.5601224659197418,0.5868474702479817,0.5667619962421098,0.5276135915464296,0.48640771445780145,0.5145874631524648,0.48121405674553874,0.5784728541653085,0.67472244462419,0.9898035386970316,1.996560114460764,1.33604674382992,0.8368421288346073,0.6382447168557491,0.6532052959896499,0.6134040175100666,0.5813260037910122,0.5110709139165579,0.5537426315491618,0.5084220758862162,0.5560133755096445,0.5991438619234605,0.5548144713074387,0.508448656860357,0.5817006975803104,0.5524458682774704,0.5619049778245498,0.48594599795598203,0.5114495843747643,0.5311299449417334,0.5365890350224689,0.5406397568254695,0.6022301404426378,0.6140896769352155,0.8719202689564649,0.6116144739429772,0.6573780878234009,0.5925329600711856,0.5274007390883301,0.5369865666974295,0.5162066072167337,0.5382423974676092,0.6691107413976225,0.671995427001866,0.9945096536024811,1.527403614454835,0.8630751543544289,1.1909351680993607,0.9621888305428229,0.7508993687202977,0.6796878746994413,0.5545056182186626,0.48188170764106314,0.475489923471712,0.47221090642702057,0.5010865688809075,0.6018138585461511,0.537213377016015,0.5830684987546821,0.5221361135874473,0.5277863294852833,0.5748887027495703,0.5991108950538009,0.6209598634517541,0.5917933882204225,0.6871735287252655,0.6345531987969271,0.6681503908939753,0.7021381802930481,0.7315044928666181,0.8244522900714646,0.8232105671003398,0.8177520166549531,0.8841456709571345,0.7966243214121599,0.706861399187814,0.71966255170153,0.7269267104980847,2.052782739027477,0.9045081014760631,1.611872002206411,0.7989308583051171,0.8588925709327515,0.8556210200514062,1.0008435029828608,0.7207112873256969,0.5910769766085088,0.8924324413229164,0.7229232409994847,0.6939854136952442,0.5768567608457634,0.9701206358735934,0.6647236347700544,0.7646666200154657,1.1045430797519975,0.5500158654557459,0.6088605581733798,0.7057002546569285,0.8257399040835053,0.9698056556712132,1.0460201291381201,0.9977421095290916,0.8921404869658354,0.846739528249534,1.0391353631854983,0.85504983563545,0.7518433931114825,0.8894208773070211,0.9149831069986774,0.7536744121403918,0.8090685942914952,0.9721319994085801,0.952290622792938,0.8254538791774613,0.8664894661710036,0.7752121193862433,0.7661895814295541,0.7461502597825401,0.7336659742918632,0.7338455760619581,0.6564611201192501,0.6537631451042262,0.6359273281298882,0.6670501231579153,0.5692425014952205,0.5754164363967456,0.7069896401692707,0.7013466139014094,0.6410412850325704,0.654673048724748,0.8886839827289924,0.8120240776845903,0.850591659402309,1.086021628090703,1.320418666651302,1.0489751587727976,0.9215177548457072,0.8000580980477946,0.7338818458077837,1.0366460090717993,0.8435754970961581,0.868322927871747,0.9871560434349013,0.6839425001474008,0.583837757318299,0.5305504919641597,0.49653589706888435,0.5537282780020439,0.542972303769049,0.6322225521865228,1.1053422111823739,0.5701239171544814,0.6300260219933839,0.7939467678357365,0.6377618128639898,0.6604349043833121,0.8857953591020112,1.6333439536620744,1.9841471755121962,2.4810075452322464,3.627337139247875],[0.742780435089145,0.6743081919192702,0.6769363051878851,0.6291184354566853,0.6117130769517276,0.6145668261475566,0.5482912556583245,0.5891554784738186,0.573740558611659,0.47699476208879343,0.4978809935436688,0.6524767836639231,0.4803854917068291,0.4690996370827552,0.5750750511016268,0.5716364266861159,0.5586339447113097,0.6626467967232156,0.76349522444669,0.712376301914925,0.8064351863888816,0.7761423236274301,0.9479054608918734,1.1369324597389416,0.7852814202200022,0.7817161271302471,0.6906706388778773,0.6191821110858889,0.6017403123918594,0.5868622481769582,0.6319363653239016,0.5982867410887027,0.7169550937686512,0.635122609793258,0.5928494952679667,0.6313518609248858,0.5863456634703036,0.5858177811580705,0.5713333456934087,0.5853096531668331,0.8671071488338362,0.7462078300467817,0.7604569906044781,0.7645762560907977,1.0828832669317872,1.3182942095521815,1.2289676031587116,1.093854642825928,2.0216912980474517,1.5666380281819452,1.081640890646827,1.3901581284897522,1.0651591097280884,0.96215288750024,1.6577574385238076,0.8365322369752166,0.9131666454177293,0.8526247075322647,0.9402657976112375,1.1286437722435911,0.8636900527857869,0.9543756767405993,0.8989057017003093,1.112656168633544,0.8407861216379151,0.804707933669732,1.0272874699030805,0.7904073036594131,1.0718342217180004,0.8906354419674798,1.1003526014823355,1.4262261901586244,1.125971179872936,1.1448170255545485,0.8543940283832121,1.3409570691477501,0.7217240226103893,0.7039140718339252,0.6721955870631212,0.6687358350733137,0.6532710329075817,0.7126936480226128,1.1173527440704374,0.7477309753491374,0.6408288617202842,0.5780298608278678,0.6024475096475664,0.6839556011256982,0.6537049935497938,0.6825846502448883,0.664650761565325,0.8827022032897963,0.7174807445615659,0.6409205400326354,0.6144146190656663,0.6728364662516723,0.6073302689191352,0.6285062809283247,0.689270221444151,1.001778419674937,0.6904480728408166,0.7349529951086349,0.6492424688371761,0.6889552463578152,0.6357789616534074,0.6223001060436625,0.813084435952229,0.6086095419758731,0.6162646015628895,0.8152664891818527,0.5882291448727198,0.5215281042089183,0.5344022076299206,0.5093816167718972,0.5903701819291927,0.550447889550025,0.5939925437541236,0.6154822253885688,0.8063887598933441,0.7280332711086739,0.6851130009265939,0.5751885208281039,0.5411675830767937,0.4965253792643187,0.4635857418058868,0.46951549506783524,0.6550802836420204,0.5099980133693107,0.5531767793159045,0.5686105267145822,0.5270873490159286,0.5659648901627604,0.5268872683251626,0.6313099682344714,0.5389671286336856,0.5348072254343451,0.6673572342680915,0.47998974616217727,0.5067795182642993,0.5217131833934517,0.6797466681240186,0.7373179622786435,0.68317764728658,0.561634057955489,0.5832516023633174,0.5698511937632282,0.5477487255902042,0.5053491345177357,0.5334446890828057,0.55222475919899,0.6602216026812219,0.7658246523475478,0.9839948971399011,1.9334389180654001,1.394076532787214,0.8551743842552965,0.6667340483573347,0.6845285083783468,0.6041337178013636,0.5997948780791815,0.5326395114924537,0.5414050667681256,0.5153469071372752,0.531373911483215,0.58813233616475,0.5670110979107016,0.5223022596174117,0.6003626428934847,0.561140322905146,0.5645737532380795,0.5215035651516369,0.5298865159593587,0.5415456203156227,0.5410795081858899,0.5227027337565816,0.585413377041429,0.5910067609939057,0.8244319572352002,0.578851562332931,0.6259317160173734,0.5911721335266715,0.531964918788846,0.5339130033896318,0.5118459979077611,0.5438842518595601,0.6591036853649942,0.6817577286925054,0.9258604492751269,1.5755726386977063,0.873002807792067,1.2069244721959618,0.9194970301930193,0.7399299103011182,0.6801461861993767,0.5834754532215265,0.5394542582421545,0.5436234047159741,0.5447158066389368,0.5710781266546677,0.656163389707293,0.6199338560687943,0.6678704267209635,0.6166694138715378,0.627872597288062,0.6731833425746289,0.6958924190440905,0.6977011787021304,0.6927929051746762,0.7660790658943021,0.7455575716775923,0.7830322883326664,0.8098646799477797,0.8368058002954901,0.9305728283713113,0.9209141637630901,0.919777476359476,0.957077219706239,0.8916473896522722,0.8099648464747156,0.8052935773670521,0.8276115032830423,2.1185478758878236,0.9561428865567932,1.5968457771541302,0.8607521965229581,0.9242959403756563,0.9165415465408846,1.0462379808798468,0.7949213831835256,0.6688521535237015,0.9112514181384047,0.7788546297856999,0.7657122121251402,0.6308479907350831,1.008599137398785,0.7481890496602106,0.844261867798522,1.155169136296884,0.6064642493439353,0.6803237470721434,0.7345874003386086,0.8411417444483785,0.9542663707165592,1.056388851542143,0.9990541091372578,0.8844331890650493,0.8899623497721978,1.0624998695818944,0.8862411898686934,0.8101435123021248,0.9303117841000047,0.9551537159656946,0.8389470753873863,0.8683975455405657,0.9860530386295108,1.0059301582066058,0.8958868209866097,0.922887224785183,0.8342998603669516,0.8227634046371296,0.7944954555090412,0.7820973792308663,0.795507388489494,0.7365014310434287,0.7325805674003408,0.7254703408447974,0.756961606231057,0.679355677625042,0.6696402620887005,0.815796115882671,0.7852412614601207,0.7216189172374803,0.7615902977637369,0.9538109545347783,0.8718546070049308,0.9271676715604118,1.1666009756786861,1.3888483971265244,1.0887811982928823,0.9693760691460263,0.891799487222459,0.8170523893688795,1.0805535201935297,0.8874508103644684,0.9118401555845762,1.0346017421121012,0.7555971771589004,0.6503946035010475,0.5975782064397196,0.5879879753333583,0.6558610989201137,0.6747554398630656,0.7753880859233409,1.1924954585014091,0.7047248893112723,0.7693732530588859,0.9591488373056207,0.8242163201560303,0.8122098339777905,1.0230787080145878,1.7499990576552529,2.1758016473813653,2.71136489655173,3.8919403309106646],[0.5806783975611246,0.4613444089094542,0.4878069154377838,0.5439891795678149,0.5128373100957472,0.45946199529147763,0.4003116802615608,0.41234299316631534,0.3872985079882195,0.3600580933694929,0.3867641007872836,0.5023751824815784,0.39194697733863376,0.382174118362389,0.5046289357121309,0.5061631343475023,0.5138825177462818,0.5925778184184902,0.6919923011548039,0.6525819287226913,0.756275389823598,0.7456471615650236,0.9316924150018527,1.1577714336218765,0.7381384101257593,0.7221979680535234,0.6173390831269622,0.5306388124567359,0.5427833478024691,0.5479529257988528,0.5859050622555759,0.550362905438612,0.7255716743429985,0.6377276801638431,0.5772896961353042,0.5953376291099516,0.5465816126082063,0.5565253810231551,0.5504255465753755,0.5498302539046015,0.8829207180717866,0.7244251524099854,0.7491801460668955,0.7479999561459201,1.1504742819310445,1.3347522546959691,1.312365238282238,1.094314048668122,1.9721244752409188,1.567201458765379,1.0283541087014274,1.3880559477703547,1.0061416428693049,0.9462927354044521,1.607304985398628,0.798647979192534,0.8419773731607161,0.8782320508526104,0.907936820397657,1.1426295782221003,0.8408597642307387,0.8702642675347834,0.8187257086830553,1.1272443163677217,0.8049169733083857,0.7505226278325737,0.9399632882505816,0.7302670888890295,1.014304409418467,0.7697977598182414,0.9601779831330178,1.2856400104206356,0.946436420584931,1.1062666990406578,0.7662498234508762,1.3568428357917104,0.680643485557922,0.6761622356937703,0.647325643527047,0.6443204616388641,0.6542883004421998,0.6986465397328547,1.092675472580118,0.6384109208031801,0.6378233153919346,0.5575936800417085,0.579854341728145,0.6803585824542927,0.6323719754465023,0.6684251120200916,0.657377884525348,0.9000281662860258,0.7193091899810543,0.6590447347803237,0.6038431138496252,0.6845763168890897,0.6007104967148962,0.6051848778436961,0.5976295551258972,0.8852757960715206,0.6014058040384059,0.6167125684076638,0.5579791979978485,0.5656106913254011,0.530830348622103,0.48966724973709236,0.6665979357375417,0.46867077692228515,0.46787186488033405,0.6809102347646532,0.4247807312790965,0.4119980374510906,0.4088364510706418,0.42667131170674877,0.5094640656416799,0.4729256585450001,0.5286403142886665,0.5504711786907556,0.7013075621032555,0.6206152375158847,0.5655069549680504,0.5163451530872256,0.5016254352403192,0.42581879800499545,0.38093767716373766,0.3899522618696486,0.5150046865559224,0.4235475657733527,0.4381868440953509,0.4667817034671934,0.4186906372602365,0.44645892563346545,0.44673929054797534,0.5603654706160284,0.4685970904632123,0.46418780622713857,0.6103044883509611,0.41347923718382334,0.46156176779196034,0.48768767782791167,0.6837843090306495,0.7515534154152538,0.658340773885949,0.5007509140275084,0.5277238202283085,0.5112663308961511,0.47814403883112594,0.43152437101728297,0.4487976538009885,0.45918676785702717,0.5278609961365017,0.6372209342150036,0.865289799206257,1.9164765134301909,1.318046923328465,0.7109898707246657,0.5347629965217119,0.5503643270861902,0.5076877932840766,0.4998640991103384,0.45560463221193287,0.47926018715805385,0.45756528806747426,0.4867800182159151,0.5294825960189867,0.5264769660060556,0.4845552522919425,0.6015558712329004,0.5545444181955821,0.5512635887813392,0.46305477663481975,0.48470332703105423,0.4832674669138092,0.47840921933258274,0.46338466737923867,0.5263368115559258,0.5509797080362988,0.7638582957536121,0.5461553962258251,0.5633567240466658,0.5655117776099018,0.4448826837731089,0.46348135951804176,0.4723136333564592,0.5053639792864193,0.6354394066029838,0.6628260308776047,0.8795126081045226,1.6366172287735987,0.8549169772779184,1.150151565100151,0.9631550097847584,0.7493623829966461,0.6842654583047367,0.5330418546695517,0.45516966173918433,0.46100270449493147,0.42116770044510643,0.4584719872086368,0.5469083158001322,0.4564559827549635,0.4821943377717465,0.4448502740094984,0.482742097999918,0.49078029615900254,0.5133315241966326,0.5876640143626878,0.5454457111713028,0.5850260907806851,0.5860682326943489,0.6528102921710519,0.672286237981092,0.6889306417548879,0.8182559145094661,0.8439392930814091,0.8466241339701226,0.8735530711739318,0.8198879018064622,0.7206778437817296,0.7007543568044666,0.7147549353908895,1.908833879594551,0.875206912771928,1.5554055508050908,0.7208438625581264,0.7506270377598696,0.7686616850377126,0.898173983445473,0.6386864750313773,0.5203600908646981,0.807575064384255,0.652028068090724,0.6851114521690003,0.5246821860154326,0.9575286523669415,0.7098908105443333,0.782269953354917,1.1495822381808267,0.519186298423234,0.5691746591368657,0.5992898534667649,0.7046303756783734,0.8157409486943028,0.8935456041864458,0.852187466347944,0.7550451148610582,0.71095093414868,0.889444195058212,0.7145744273298945,0.6353581439027036,0.7597585983667938,0.8082939566578627,0.647308417796773,0.6881558198151134,0.8588829496245245,0.8874144527936022,0.7286410800376117,0.7440907365894711,0.667626172359773,0.6401721442707454,0.6172424117748303,0.6059690187229398,0.6360096421696594,0.5909242025501215,0.5875871699142502,0.5829416685064671,0.6460989962637973,0.5501494771792913,0.555848442693907,0.758761302503802,0.7279649483154622,0.6677475275727744,0.6739966734698881,0.9582437676364184,0.872516781299622,0.9069289124598141,1.175216552244379,1.379755189208471,1.0990018240437025,0.9666983522540674,0.827202837148007,0.7202991309471333,1.0537109271959428,0.887713291482415,0.9325819819129809,1.0601815742682414,0.7209525446589288,0.5917719544889523,0.4741163193056097,0.4680090710690351,0.4729874718568545,0.48172577418590795,0.5738768595581212,1.0738677894297837,0.5081227195215889,0.5566604861253861,0.7467357768989493,0.6666849338756159,0.5999588186381372,0.7827324719102516,1.5495138174113166,2.0244780773050177,2.4781812345852074,3.4507204510278484],[0.5282092875313799,0.44369063962662897,0.4711895847782214,0.5233968849686541,0.47739224315096507,0.4291097266678578,0.3671587740895819,0.3652399503853682,0.35397588756851833,0.30743801070399224,0.3335884718887181,0.4545914671706212,0.35607938066298767,0.35532642133273834,0.49409703630158835,0.4704188576295539,0.5089094847989312,0.5836984480868702,0.6947151859468549,0.6591432664324541,0.7530979289126015,0.7539742918842655,0.8991914638168814,1.1337448374247172,0.7557215403580178,0.7390401510460775,0.6295292755530759,0.5413594016600548,0.5398002330658158,0.518444224398273,0.5601997605020773,0.49935543433802443,0.6717533842229333,0.612861206305945,0.5499097964773096,0.5808685433440793,0.51584894280384,0.5617157777970088,0.5566936418523314,0.559110055437278,0.9108500673744176,0.7356040296572922,0.7497339821684359,0.7717861374876436,1.1761879252158818,1.3859577862578225,1.3467949315782788,1.080064358975959,1.9788368723419474,1.6524909034249908,1.035090915488992,1.4194399359245842,1.002642100197119,0.9716389595328957,1.5975594022821402,0.7887971960279866,0.8226092361860058,0.8898530683939864,0.9053899522480442,1.168117675300615,0.8455007274946716,0.8531547656855893,0.7976614936114166,1.115322309012093,0.802840013737911,0.736752751717646,0.9138463847534408,0.723551274318628,0.9936461043504625,0.7798515608391755,0.9578900058443184,1.20651445846842,0.9383234953247213,1.0863418792850377,0.7519670274910852,1.3146424015528044,0.6689166484626927,0.6506617166925157,0.624820506270399,0.6406329757651233,0.63248993011571,0.6794542050582091,1.0721948729816013,0.5742315286390078,0.6325315580482268,0.5370119169496081,0.5771741080677527,0.6703638260327246,0.6257936077314165,0.654199382778423,0.6517517044642189,0.900037907931461,0.7102209644023368,0.6344836421006748,0.5773801581278653,0.6720059342721337,0.6147658772563729,0.562226161867728,0.5395927982102289,0.7886949107762541,0.5380241639866221,0.5527895304958222,0.49497955662769655,0.5128132314555942,0.48230441056931583,0.45117961597020906,0.5910339109064007,0.42792682532573945,0.42406947123502636,0.6677847755438593,0.3737674860940006,0.3697277756401553,0.36541048630214457,0.39887239864900254,0.4826292265565728,0.460557394700586,0.5372813094862142,0.5781050871542912,0.7285048096049591,0.6273367104270566,0.584978882683124,0.5304173365773884,0.5063013660539106,0.4112248757829368,0.34726189935543117,0.36941509599941347,0.47058244017073986,0.385325775243586,0.40576009183659795,0.4264055747663695,0.3915803443331647,0.40086045490064043,0.41735476589741366,0.5164380353060233,0.43792450759311863,0.4389415760054961,0.6104089036938734,0.4077654975703066,0.4583775343777124,0.5016381669886493,0.7102387824747441,0.7913554316173113,0.6923448831715875,0.5237056076254621,0.546897655327265,0.5134314092326904,0.46527963819337403,0.4055397968735181,0.4141378059217264,0.4191781695879799,0.4802399710432363,0.597790584987678,0.7787317165922475,1.8202575606765217,1.2884583443749618,0.6393880572692227,0.47831203013981693,0.4945444365154704,0.4508940633307137,0.45658420048606196,0.4357951189135685,0.46471469241966884,0.4581544044374798,0.48515372458858463,0.534060434931122,0.5467790123998666,0.5008004409112281,0.6270269294831877,0.5712749475186051,0.5596113996058407,0.4678776635309694,0.4864695710822419,0.4805063724940922,0.4549660639320836,0.44208453123783437,0.49870371114138334,0.5165621320682705,0.7101990452556148,0.5321521643506579,0.5263936960467929,0.5594855290761055,0.414265570569974,0.44638099804459225,0.4550718154575279,0.4959571603601897,0.6398020506646144,0.6841254026948421,0.8638940686141879,1.6844241900668677,0.868784882986392,1.1487219967051494,0.9850610190179208,0.7562438016447653,0.6836045618526208,0.5197919721103502,0.44844375140965825,0.46409954761175287,0.40562704916538755,0.4589524820503594,0.539334767274119,0.4293266637917196,0.4425321685168185,0.41337720550237833,0.46730079205163466,0.4681623508319455,0.49637673455216313,0.576687046151733,0.5285063064637789,0.5660432325316863,0.5790690463560606,0.6408996384636096,0.6633284827856618,0.6883656965060482,0.8109459654919101,0.8545165613097203,0.8442647552937544,0.8836931476394084,0.8201414825863277,0.7019531887594535,0.6912446096254526,0.6929863708332035,1.7931213143068627,0.886432160340829,1.552875865367651,0.7174168742762134,0.7058371714016618,0.728683153721292,0.8443075597649229,0.6138101704694111,0.5009895407875762,0.7815718456228117,0.6501831804257118,0.6801769605334921,0.5229824074051744,0.9596525050893457,0.7294380877743507,0.7848847754826314,1.1612838971767017,0.518577376777095,0.5536666876839035,0.5754004185631437,0.6775309361584515,0.7768206272907265,0.8325875314546298,0.8170427792911933,0.7198278855498996,0.6699804715601808,0.832092137581275,0.6751314683415527,0.5941787767738779,0.7090495019132163,0.7650311162830746,0.621813943458565,0.656080281272863,0.8227586530800939,0.8903441149711707,0.7141316922427687,0.7146138587485872,0.6416551937817834,0.6035424471815657,0.5758888962189023,0.5672745660051688,0.6122714671148325,0.5673154060375493,0.5577701755417981,0.5589298667693547,0.6313620603370691,0.5350711012490844,0.5414464001582189,0.762474843524369,0.7274470129704093,0.6752374155402084,0.6870860615897523,0.9684919012475658,0.8917472021551442,0.9152561944537798,1.2226949463950794,1.3882174781792993,1.0764744020253916,0.9587027175696984,0.8171429258697941,0.7140248054141638,1.0409829397798473,0.8647552946011976,0.9159900713659066,1.0495445604852032,0.7238157751537275,0.5776077712169027,0.4573498567248734,0.4445555846062888,0.4442142370389276,0.42940582744098904,0.5241509885770285,1.0377495092630618,0.46791682939453083,0.5244591067507518,0.6887558817770737,0.6792692408933885,0.5869152327803264,0.725927963256767,1.5118262498125157,2.054965114662031,2.5323143089026856,3.4715493487062488],[0.47295121913090654,0.43796374762374807,0.5152671124508114,0.561435218454007,0.553264423830685,0.4792502519888447,0.456809695713796,0.47449310273899087,0.48159541855150995,0.5140547521159142,0.5868211369065396,0.6781366228984549,0.619481560200662,0.6046711519340988,0.7819166683646258,0.7483582759642676,0.7602993943411389,0.7864111521921843,0.8890557678772939,0.8591168538762145,0.9370405561555655,0.9592860591034941,1.1199965286992195,1.3194663352584903,0.9424655158236228,0.9109293616356268,0.8331473079495527,0.7532376506781594,0.7754066815475104,0.7600930100169506,0.796167421121481,0.7676998358629302,0.8745211075464764,0.8727730155098233,0.8025674371201651,0.8141493639273849,0.7806012956733317,0.808459722547095,0.7932703874222149,0.8070562431700123,1.1102789916764648,0.9668338145359141,0.9862164979231087,0.995546065345795,1.434105183011211,1.551827594150916,1.6393361317942852,1.2988319422704262,1.941468052097047,1.662378858185952,1.2032928065362822,1.5195676626011898,1.182966004355403,1.1925057004052055,1.6488026679461643,0.9822770912303199,0.9890624499671418,1.0916725260247282,1.0355622866310026,1.3261832707517485,1.0350678423317925,1.020156283514072,0.9516312748044301,1.274727142187595,0.9991268171747457,0.8829386265641417,0.9961989577269026,0.9001362878883167,1.1060806661535365,0.9525240092798459,1.0378518118089308,1.1984411463289082,1.021829819134066,1.2116988359831957,0.960967865046421,1.4159824452367125,0.8997221161524723,0.8681351373795758,0.8581222720708214,0.8451322101500501,0.8523034791660813,0.8814885857501799,1.191881366288036,0.7897386146057551,0.8484913680073799,0.7764579166709156,0.8331828460569045,0.9073617827601735,0.8564015538132961,0.888587089600231,0.8961003342234813,1.0677735777226822,0.9489105427933148,0.899441755872151,0.8391608862444345,0.9403549517972677,0.8894640826481038,0.8079838861190624,0.7676390924662441,0.8819661139991403,0.739336112248002,0.7206301001523006,0.728540320075916,0.7106070955622106,0.6759926941088493,0.6658457143801914,0.727745909670605,0.5978777328170708,0.5489060346951076,0.7650287417565435,0.49965940270686304,0.5383278931416731,0.5367882845148465,0.5668158581849456,0.6367045147073939,0.6092098602803138,0.7088896745259522,0.7455106998688481,0.9115889495178048,0.7998627890920469,0.7592595559419304,0.6836179418980688,0.6515639668671291,0.5346754562035174,0.492512514496559,0.5430500111569393,0.539670439350717,0.5241485420335169,0.5587501418617097,0.6124373388784283,0.5656884718216948,0.5623298079820296,0.6074124298510865,0.6790163200544822,0.6120548035006544,0.6118660938509464,0.748420926805499,0.6004394064974558,0.6322574609189032,0.6745884686205896,0.8739735748518074,0.9662818248011142,0.8489448078849621,0.7170808464076197,0.7586204234623147,0.7426541702704377,0.6760605814999626,0.6514660149255798,0.6265710854733647,0.6190763152585297,0.6339191073202224,0.7182791694908917,0.8462077234514583,1.7711606458117686,1.3210171616926532,0.769991110848502,0.6644906772714299,0.6766431243846357,0.6990461971585301,0.6711587186586127,0.6610494266142921,0.7052616928377539,0.6665704877264802,0.6990684129326002,0.7169028357940846,0.724052462173332,0.7160124931082864,0.8144938704015938,0.7639260871299781,0.737665983931251,0.6620915955962752,0.6577785490601021,0.6874781308739576,0.6588767604750799,0.6825508198544179,0.7166155774071532,0.7388766355037767,0.8693590803506587,0.7782161067411263,0.7570820306819858,0.7557893435808837,0.6308742616922172,0.664489287553428,0.6768080517417471,0.7179065473250351,0.8432166513608061,0.8951767747034635,1.054889547908838,1.8383093301919653,1.04746057478549,1.2725015195852898,1.1470421531757091,0.8978506891362579,0.8035856126924094,0.69384396960515,0.6581015221896303,0.6358392125054536,0.5735423157370925,0.5974561097175873,0.6696008209684667,0.5375655492718956,0.5108828555486479,0.5007763759264753,0.54495338590702,0.512440523747487,0.5284788640000532,0.6386218854753138,0.5616214491082349,0.5682056190762299,0.5924529402884897,0.6484723101881925,0.650895044323598,0.6698660561518699,0.8063090801256569,0.8564630675633819,0.8703425524060137,0.9092656457220937,0.8409611804559907,0.6961412723077806,0.699079581643027,0.6874986099061922,1.6797472770320803,0.8777028403477308,1.5300585881798863,0.7289490726423737,0.7142594407455248,0.7657757047933466,0.8502980111062787,0.6738990191298274,0.5883068729529997,0.8263874579819644,0.7679709694076718,0.780441591818228,0.6536948929969296,1.08357095879498,0.8767446207939403,0.8826512009949962,1.2967873673757073,0.6354250673744081,0.6789181786993643,0.6672118790182887,0.7258345449425745,0.8221386904742841,0.8218205045944019,0.8488250991205625,0.7600288766100578,0.6894853819925457,0.8375639611632532,0.6928742282406846,0.6011924411879198,0.6923507299288746,0.7508480992850427,0.604587905965569,0.6306066416551205,0.7910149327359438,0.8807066830425396,0.6907967548762476,0.6828477875959503,0.6267544441902941,0.5816182828303037,0.5720332305099542,0.5640971117070618,0.598852783464337,0.5713198515313702,0.5673985835653587,0.5835352676774639,0.6500668536263358,0.5894551534948134,0.6143573463618671,0.8282438530022449,0.7808090615686428,0.7638431074309172,0.8004187717154704,1.068248997457269,0.99305716807298,0.9640931433571025,1.3300898392138858,1.369845119849497,1.0798439183017936,0.9630159951596763,0.8310449981264573,0.7284479235326073,1.0381137747265217,0.8436145305347489,0.9153379124590201,1.0369894840133493,0.7562660238582057,0.6405830936866541,0.5758518181840862,0.5610087406000598,0.512589677108284,0.481270045614454,0.5166444582721855,0.9989028929076343,0.49373914777227557,0.5076937967749492,0.6436493122891758,0.7366310078544969,0.553031134898133,0.6565550615199756,1.4644912947736335,2.07077932345045,2.5481891345519623,3.466033532962848],[0.46644449154787626,0.40556884132717336,0.42385380539408685,0.5171736029226323,0.5030694035559928,0.40719298253875025,0.3354843679547687,0.3440571170598669,0.33737884966976067,0.32667116813708824,0.33859446598401854,0.420271201086452,0.38655422162739644,0.40217786553023926,0.5223419314790145,0.49223698920072995,0.5430121792535778,0.5952368653398833,0.7213954278714869,0.6781783481420248,0.777237834500786,0.7905069264044912,0.9723691125769689,1.2129697482471486,0.7895155347723994,0.7655873834906087,0.6510501486591153,0.5533131012828363,0.557707289056757,0.5288652050835617,0.5825771922260357,0.5124288515434384,0.6697223172164303,0.6287936559229271,0.5500932248987739,0.5968084818705226,0.5258052909523598,0.5885606617525792,0.5890091292390255,0.5995136033551155,0.9602717783431308,0.7922451018853273,0.8150058488411941,0.8398452313071048,1.2844442065276809,1.5048185319558263,1.4963465969542278,1.1252357186022937,1.9919783703730027,1.7689176512389932,1.0865733102438586,1.4876801176303516,1.0308981064023606,1.0217389447440868,1.5941424877203516,0.8099507360999273,0.8503202403936667,0.9267258846976044,0.9046457938673482,1.2206414945453314,0.8825907184250316,0.8751395700001552,0.802206471655452,1.1500550936796263,0.854906348747295,0.7420063988066887,0.9284671252148535,0.7459981848727175,1.015683341829198,0.8047356272157665,0.9435776796225702,1.1553624794777073,0.9200789533993291,1.1153437659625622,0.7829278287471422,1.3622514844430462,0.6997284385494279,0.6795868257941928,0.6531601712790759,0.6615655338122481,0.6446357598402278,0.6907978511369459,1.0824440854721877,0.572689742154771,0.6504616091920032,0.5545347573442583,0.6122740486775261,0.6740470505639088,0.6424055243591121,0.6782695791871435,0.6796151537222132,0.931373403065672,0.7539539305961993,0.6625868807640218,0.5947030551292505,0.6771735315233076,0.6221134350534615,0.5539991148920557,0.5162259169355452,0.7667588708879187,0.5230159298201457,0.5277720113936728,0.47949482582801595,0.4922166489828463,0.4538637236650502,0.4522719836210686,0.5644373363728049,0.42917153421174115,0.4244966416122617,0.6166717249796476,0.3569044078891749,0.3720598539937955,0.3679401372808197,0.4066494047035871,0.469933767106376,0.47092425713070085,0.5315989651795493,0.6063271610129838,0.7656370986893141,0.6202039673441726,0.5823205790815242,0.5309690484479224,0.5475972134497502,0.4349280909249006,0.36697868477783263,0.41009256201262645,0.4371153898474537,0.3924762312793256,0.39049269487579,0.4175000410343584,0.4020477089018502,0.4002441360589109,0.4208939473502185,0.5121594408606239,0.4430335732106135,0.45915730973473295,0.6696570889295986,0.4503598859304789,0.49990921774311575,0.5325944644700411,0.7570007206120604,0.8396043450350128,0.7023030981048194,0.5409687946894872,0.5605535461709479,0.5490174968308664,0.48422607268103307,0.4493839073263521,0.4200766998168535,0.4333804115068578,0.4555158113512832,0.572931944962485,0.7802541119991007,1.8335096349330893,1.2613472971517268,0.5917978359664268,0.4390165647200631,0.46413937669292576,0.44386161168502286,0.4717230435856469,0.44710768025788555,0.48847627601651283,0.4806342319579885,0.5022190699712968,0.5263709556976885,0.5833803412979695,0.5526480914860638,0.707580624987148,0.6521480051597573,0.6205557107045442,0.5075280845914572,0.5113972435861938,0.4893781992039676,0.44233939236499914,0.4563110225472148,0.5000053765415872,0.5117656569084226,0.6860060018816729,0.5409687087147931,0.5256754202477116,0.5720563410441029,0.41865123655220526,0.4461773360253933,0.46389977819847195,0.5076254549993083,0.6594014414626431,0.7346577011117128,0.8468032810222661,1.7949944231281445,0.9264233110887621,1.1932215378319253,1.010971850156649,0.7786376882879471,0.6942176412661101,0.5274808748357442,0.5039407953725843,0.5116910154142663,0.42545926172140053,0.4744756134904315,0.5448480525326446,0.41858048111162405,0.41342095518834965,0.38849368609288454,0.44993644346378486,0.4381766630813133,0.4561889468555911,0.5716880406579509,0.49434714397017215,0.5372862188673875,0.5387691829678628,0.6037709668539355,0.6312209810995776,0.6569204581056665,0.761476937275555,0.8204421386611501,0.7932051988437273,0.8873881780394737,0.7955541577779193,0.6630977664712339,0.6781611597662485,0.6815037465225926,1.7096967537344026,0.8761289733123443,1.5454393827527078,0.6863577801413239,0.6758132799080178,0.7378305867264159,0.8018748591481993,0.6301700137257373,0.49711051190611616,0.7924629698778758,0.6530724781612097,0.7063099645574057,0.5580069633026766,0.9358223666229193,0.8018946411489913,0.8310952602261484,1.1913675300653235,0.5499648693700784,0.5516806898959681,0.5764884461250752,0.6698480868269823,0.762979148955396,0.8224965175020543,0.808159365214176,0.7209198295026616,0.6580041035552259,0.8253658710293383,0.6776785085612086,0.5827179998052816,0.7213147240709165,0.795646259264265,0.6038618516345573,0.6525751007958878,0.8512869787837037,0.9167073451367752,0.7063449506514549,0.7182800040158996,0.6342059524323983,0.5961787781997043,0.5570260920832529,0.5429365799882342,0.5885647182677887,0.5304661473963515,0.5298305022196345,0.5391111839670806,0.6041859511139335,0.5184675641506405,0.5454125172297423,0.7655637823048232,0.7078200828951556,0.6903646775662564,0.6853257671571689,1.0352429650544859,0.9254735330967199,0.9224002423771304,1.2067314388447123,1.3337544973551971,1.0966651701099217,0.9506445815616164,0.7831708183093404,0.6513400811378229,0.9874300825640384,0.8740421888118101,0.9603147935852379,1.1026284121249827,0.7376010951133936,0.6008326094562733,0.46449701374679175,0.44905731068047616,0.4220102737342338,0.3925024537476819,0.46472539953753217,1.0355030760074118,0.42321813251307505,0.44912035277433243,0.6097535943478362,0.6964335406670502,0.505476395819992,0.6283532778633751,1.381614311450099,1.9316145148861161,2.278540567483588,3.0425271069726754],[0.5581417644933299,0.5122640279336151,0.5874026785819038,0.6164153869694576,0.6542329464480335,0.5452270282089074,0.5059473356520119,0.5008637800622009,0.5061672093226515,0.5158878159630365,0.5074422632035311,0.5187689712823743,0.5668816804250894,0.5860489635732338,0.6745485316967162,0.631224860496646,0.6996361267081477,0.7290389913585557,0.8351935934824324,0.7991596115055857,0.8721146619915899,0.9134504249133187,1.0459750976187376,1.2783598389153095,0.9146054579061865,0.8845037950490622,0.8092646964178081,0.7216061820824872,0.7026580522718952,0.6606111967400519,0.6818947155911766,0.6280650171306493,0.7245280772026568,0.7088152443317669,0.6704715163091721,0.721192247010388,0.6830343079176449,0.7520846606031982,0.764574929323853,0.7893630477974855,1.1346296209804128,0.9331458394244054,0.9594772782610106,1.0248131997225978,1.4151211592601352,1.6651946049666007,1.6808770394484476,1.2463593165789133,2.1132505323970605,2.0396118570619572,1.2572660202592663,1.6444381855589427,1.1023559987155223,1.134291517801501,1.5704341367026862,0.9460892233178292,0.9616297078894206,1.0375360443461474,0.9865895482786267,1.356938315271322,0.989161216841034,0.9487537102859798,0.83209800815326,1.1953638892965885,0.9916911159286929,0.8409889718942566,0.9457559858775565,0.8240578082614799,1.0176375676235991,0.9154495631553261,0.980313177253705,1.1272861848831803,0.9532122946326267,1.1470102824533257,0.8619561611625252,1.3722879115605409,0.786869797019234,0.747479657456184,0.7375755260868834,0.7569869290542556,0.7601301659149098,0.8061311754958946,1.1643001191428846,0.7436119631991855,0.8251447116210519,0.707438088484954,0.7501087916482388,0.8046840295040301,0.7616065742076494,0.7599285365962077,0.7824824115724246,0.9876776887473447,0.8259818822004871,0.7344367380866356,0.6761202667021767,0.7450087663940629,0.7197899756875917,0.6365681137291378,0.6178201475090418,0.7639566888417356,0.6148213536221416,0.6388400198580004,0.6306669942152754,0.6100588676419086,0.6202332339671787,0.5985097452749749,0.6530797008531295,0.658055028868584,0.64279074756869,0.7714836356896706,0.569047335190184,0.5616424361246632,0.5591109648203954,0.5789066280083951,0.5835754350045411,0.6906085626094324,0.7286615170416928,0.7637209268796358,0.8798460120567884,0.7476056131404599,0.740672975357737,0.6887251661805348,0.7185392049482204,0.6261300257755694,0.5655133270452647,0.6049636599755278,0.5749401124361272,0.5926121744840703,0.5943660492864915,0.615928188194315,0.6303827951179042,0.61685889388738,0.6777243710687749,0.6947291995666657,0.6970346245476001,0.7209245514247701,0.8583677781451313,0.6748663424906456,0.6926836835344251,0.7214156200959274,0.9004094810796321,0.9829321289121848,0.8181039093739485,0.7208168650689287,0.728168493337044,0.701404025763596,0.6693220912045896,0.6135692772690183,0.5942760518826055,0.563689422009732,0.5865450413100011,0.6449978953287892,0.7699074787387199,1.7053178998764147,1.2352870088864725,0.6075697720142169,0.5634398295989075,0.5803302807271681,0.6010868060738328,0.6134631003822326,0.6450991199217553,0.6522053919845743,0.6665376426740379,0.6835158484491811,0.7148245911905857,0.7699136934492529,0.7830819094550044,0.9277870948885669,0.8780699073281747,0.8249576417061856,0.7408286050596533,0.7136872521280809,0.7061273086104732,0.6533826081888676,0.6398943350451418,0.658635663389839,0.6668552570534255,0.7957357283323406,0.7207718988432941,0.691536844143048,0.7316358142983727,0.6236900652927334,0.6742674298078333,0.6926747471407834,0.7384892466782003,0.8346361664129301,0.9180023549964696,0.9365579529464022,1.972438304209656,1.1348559941048733,1.287669344918664,1.1918251209740474,0.9942484761004641,0.9165980392723179,0.7575497743472768,0.7196860330289421,0.7219727915780724,0.653532898509932,0.6917250963013306,0.7194397786468913,0.6132574885363176,0.5817063215506796,0.5869647981091837,0.6432784563639314,0.5902303696883592,0.6032557725852016,0.7105287087588452,0.6602613611196109,0.6596695389374806,0.685312079858577,0.7398174457516133,0.7591418391974937,0.7773154238427724,0.8673300269021021,0.9381819043947446,0.9345175634701103,1.0241726831394478,0.9191927514434476,0.8081956867221833,0.8225229206590317,0.8082825334311925,1.5843929104189403,0.9310470028969945,1.5428070155932398,0.7823088263622487,0.7611239831998304,0.8043386500933126,0.8893294694649114,0.7821401449176202,0.6862684428336137,0.868748140187234,0.8435115967348915,0.9161772650216964,0.7731687416969549,1.0630069851202426,1.0593709645906986,1.016267759753075,1.3109870713318332,0.7692234478702383,0.7360365486468553,0.6934360988810475,0.746362419137555,0.8112723345744728,0.8641954774560807,0.8489770878388393,0.7820005384638348,0.717438664880315,0.8464956006092648,0.7372045220572537,0.6631612407209454,0.7573841330676588,0.8316395887957109,0.6783578439333013,0.7426309850075403,0.9127336960405888,1.0181460576157855,0.8217710326122616,0.8097726162843766,0.7453258496827153,0.6892527249907745,0.6492080744027339,0.6691994365884778,0.7101801628781423,0.68341682372802,0.6782615368929585,0.7087939926370581,0.7673627967060593,0.7035644057151562,0.7390827501385965,0.9662441704706414,0.8932920544312494,0.9108916083530121,0.9217203293233744,1.200464299702926,1.0897124935535016,1.0486296836233355,1.3663112181927732,1.370870118027096,1.1752268244700101,1.0274638861229741,0.9006680443357241,0.7713373854108888,1.0168921620234743,0.9462900342914828,1.0518308347024972,1.1670559583995022,0.8694297287241185,0.7558190680985052,0.6499481024904724,0.6381204454630904,0.5373502617770163,0.5599980821881774,0.5910732424278626,1.0350952937184281,0.5938542139216088,0.553676962623825,0.6447791231687523,0.8784365626949081,0.5413065006180504,0.6570864189075547,1.2763256905644285,1.87570282012768,2.1800079855215766,2.8381562163509173],[0.5137246328006272,0.4717366197339609,0.4290310559622158,0.5166558198366582,0.4615428891698194,0.3899251812652524,0.30024383557514267,0.35511053282637006,0.37615394355595755,0.29201757952242346,0.3013177657796108,0.3875613136633964,0.3214727161422611,0.35537700913020326,0.4742762123780657,0.42245759455123827,0.4616884187885573,0.5227015934356466,0.6565435570443148,0.5968773471161247,0.7028841854149579,0.7274174098693725,0.8719001702166316,1.1138955105294712,0.7356725100207598,0.706322229114244,0.5926954315952978,0.48836938740154046,0.47485736308586346,0.4390737336393855,0.5233879237674147,0.44506576126088465,0.6049623274037208,0.565846142035026,0.47773147245347153,0.5218671827000464,0.44836797795584826,0.5053192365580002,0.49945014017792805,0.5205868207834923,0.9257098584703667,0.7258253431058791,0.7506681791194687,0.8132754613901679,1.2591087613638685,1.583950327550051,1.5482536494686812,1.0970867748424038,2.0518125870832313,1.987028491787203,1.104732177963068,1.50422229779048,0.93752640824647,0.960106322077628,1.5138055741486565,0.7361114736930796,0.79877934764293,0.8385033101481744,0.8330016421002545,1.2190004706952444,0.8394762188543466,0.825448394943822,0.7368069034387481,1.0837248373240156,0.8136832986398304,0.6817902403421656,0.8550452005868486,0.6690090024174583,0.9394189666317784,0.7735360778677025,0.9085567188221634,1.116522721459339,0.8878645379589759,1.0687850660798106,0.7345960515796068,1.3246613324356462,0.6306856323152212,0.6154224231943171,0.5788237975023725,0.5830368970895826,0.5685069842477687,0.5905527939531595,1.0170053282122655,0.48640807305108,0.5646256083705564,0.45341645001172065,0.5155295810370643,0.6018334850862178,0.5606206728438036,0.6127640951512194,0.6258938584574226,0.8955704412055197,0.709754967309737,0.6054643129508764,0.5419043186144459,0.6464082759296325,0.599088063533195,0.527043854938435,0.48632396568982605,0.7434073917899462,0.4727815983927941,0.4714858115094042,0.4125188678256171,0.4288495276507064,0.4042576890282381,0.4138274196787024,0.5382929281849486,0.42878814081393146,0.4495197081582757,0.6382631288090014,0.37482037317788147,0.32753952765846484,0.3225185742326174,0.34084261438947666,0.38303497183866914,0.4156040747910134,0.48084363356361925,0.5681294356958319,0.7473264788997172,0.5608357587959821,0.5386126516197731,0.45577518104859505,0.4906530523358763,0.3734415425526242,0.3210009605597069,0.368984402041964,0.38922624774236647,0.38197026945480184,0.37428364448230683,0.3788266236551996,0.39085320808970375,0.3877134056635994,0.4051179848413001,0.4560878507281358,0.4238669899541158,0.4580815746355333,0.7222044565345702,0.44326470361795395,0.468349747559521,0.4914653626956834,0.7353120581765356,0.8124275796655771,0.6518975379894072,0.5003768559047622,0.493814470101012,0.4712592549320303,0.4062432758441675,0.36307658188497116,0.3385071433767897,0.3545475387816036,0.4170094067720309,0.5310472763369648,0.7723688635715025,1.7641519539278585,1.2097692335209602,0.548651978091199,0.3867663608540622,0.38762105075833575,0.3645483171322065,0.39918740926219154,0.38793741896306666,0.3968572452550707,0.4140443775657413,0.4161108972274779,0.4838962067712178,0.5600768166624661,0.5608186109783952,0.7335713145934977,0.7151325027264664,0.6582548169466087,0.5238761911851266,0.47725552034903007,0.44529524785199126,0.39133360742182105,0.3649137811593604,0.40937449713727864,0.4152862868655818,0.6001335330352081,0.45260546071612656,0.4064191931958738,0.5424573430244547,0.3691210016418256,0.4102217297604955,0.4296404292413031,0.470895958854151,0.6059139777501447,0.7018640609508904,0.7819781531480394,1.831971292872636,0.9419198478677341,1.1538348479101261,0.9841821526022209,0.8174489255110429,0.7518841613027932,0.5576904096361938,0.5147834167510101,0.5189105166995747,0.4405972495368472,0.4966674810211753,0.5567719585396584,0.43196434166203096,0.41313671524753537,0.40200104751018984,0.46969815299729084,0.452649044003282,0.47075986532920094,0.5749100904269153,0.5220410070540032,0.5659634177184124,0.5556300374568169,0.619726187432314,0.669842199194063,0.7000674820976498,0.7493782628720236,0.8442030671129261,0.8146253263009914,0.9450767369888892,0.825585741171209,0.7126269181519042,0.7400014429765883,0.7439891882977668,1.6227075346713715,0.9384915755292949,1.550196384829785,0.6774685313565837,0.6408631500312627,0.7106732225713153,0.751281796016346,0.6638716348302618,0.5192318089044385,0.7649624617329864,0.6697808565183228,0.7917639384670434,0.6141999952206856,0.9321571527624476,0.8975665571239937,0.8965028143856483,1.2155600368808706,0.6042484132194764,0.5434837559766728,0.5189432968207924,0.6217457544304675,0.6933695007764901,0.7927081693180462,0.7515705109209642,0.6758600887875038,0.6457803546062822,0.7891439347215411,0.6605894372304699,0.5956114928519561,0.7332052720993852,0.820992445199151,0.628301315576604,0.6969771455308051,0.9152533120841756,0.9860742155374154,0.7704394146813696,0.7839446990675895,0.6878905809590938,0.6460111689602199,0.5888880398189269,0.5684306624317227,0.6395531770600202,0.5791200852894908,0.565228204944848,0.5835431720113264,0.6407866178664336,0.5634960981508768,0.6070062992005189,0.8437750361076019,0.7644707064648867,0.7874105169236487,0.7819817968779558,1.1415339153923343,0.988232183381974,0.9656641219191368,1.237812426061218,1.3239983091988883,1.165629713336316,0.9819930427399906,0.8038066395721853,0.6430786915804803,0.9710509001818591,0.9133941145894,1.0152623704632842,1.1244044423628778,0.7566861659027638,0.5951958892610175,0.4630763676290071,0.44552400862542946,0.3985963364228912,0.42232724493126467,0.5018908382530727,1.0326263985640598,0.45604677491517565,0.4436233064427409,0.599002583867328,0.7760493838671385,0.4508066285522275,0.5951009280174755,1.2305697530062054,1.772921274298325,2.05790650276588,2.6405720045063283],[0.4784822468338049,0.4598350456448469,0.4613530730741649,0.5055105551170651,0.5000239099144493,0.4174353227014719,0.3476982189713059,0.38813027656050114,0.4410995088611191,0.4108784388144417,0.4018077299859743,0.4642560320123069,0.4255957982781303,0.46068018073497885,0.5487243556031742,0.5024121159448169,0.5454512755306683,0.5752997966339696,0.7195037869828297,0.6554441341928909,0.7337254218492126,0.7948406760631277,0.8872320760407503,1.0774213066039555,0.7563368542182995,0.72861349614771,0.6788674357478439,0.5689995437030322,0.564884209914282,0.5122869731043008,0.5696236899406253,0.5063142606143959,0.612475734660332,0.6072295554821386,0.5290823722712908,0.5649443460244254,0.5231381664744976,0.605518418612742,0.5913150598635457,0.6251005103106574,0.9851882705985631,0.7847125026604869,0.8119767858355009,0.9023852609011043,1.38449289525082,1.728351064155643,1.7010616453627552,1.1701293148416656,2.05717868455292,2.17773329052732,1.234900815807408,1.5459601855057457,1.0186526161652765,1.0645677382862686,1.5578173928615016,0.8380323853165597,0.8488597208569783,0.9346256199592016,0.8797197255920995,1.2886355800338152,0.8937783151621995,0.8467800549761051,0.7373650779728544,1.113437638893287,0.8724633086489405,0.7055947814874688,0.8589935765766835,0.716393641353285,0.9553160190422347,0.8254404082681567,0.9536643383483836,1.1058985808755608,0.9088678388240979,1.1188944674690948,0.7739881054784553,1.318586781136872,0.6841476316406969,0.6655793723266419,0.6231172385409371,0.6409052098491549,0.6285817084947666,0.6839722845685734,1.0186591710485178,0.5724610855959005,0.6390086276061888,0.5505491770143924,0.6120350603052936,0.6597206120391201,0.6104885690812414,0.6371928420293844,0.6817940897411384,0.9494751946697113,0.7707243184003642,0.6388373376188812,0.5903372591701112,0.7064223146630139,0.6772853397972155,0.5722272706441488,0.5231614293928539,0.7057764173789306,0.5062465517141148,0.522994435947874,0.47620440137934306,0.5064131875203325,0.4714633313268426,0.49166030800111993,0.5264510740511607,0.4847191455437937,0.4913390245868425,0.6023081606700504,0.407575655713487,0.40268267051727574,0.40048566443012945,0.42481110809201683,0.4535036613664695,0.5503043626538632,0.5668044767611943,0.6477501859292404,0.8239296588881391,0.6078293529070582,0.6119424004598651,0.5241123598167368,0.5922886088492882,0.481891736794422,0.41923888188393077,0.4610131171187009,0.44021202101071694,0.43053747724304603,0.41336181315386505,0.4296509654888692,0.43796295794293205,0.4385790943544229,0.4765121218623234,0.4933013058953766,0.4849986837377606,0.5151322165043796,0.7511076253593858,0.5326214177999022,0.5518737971541815,0.5890116357792398,0.7996208345857678,0.8865137349363006,0.7440037792848527,0.5978705795277438,0.5986510195988928,0.551904626464418,0.5079601884958119,0.4572656420670286,0.45286370509709517,0.4751965593561506,0.474060749720543,0.5528392599311676,0.7493988844273126,1.6338760323446373,1.176930983728694,0.556071820049415,0.4532479813571832,0.4748757750393898,0.45278074881382574,0.5055931680228974,0.49408199303725303,0.49832672531573763,0.5252290438783677,0.5296934632827591,0.5592539242585886,0.6419502199808973,0.6692787563191869,0.8375377665184713,0.8006911577224749,0.7344815919326514,0.5981572280532454,0.5644807694596791,0.5350622900752185,0.4859058334340094,0.48077743472222423,0.5053238186046074,0.5171778628752002,0.6345967328078786,0.570818438994108,0.5033885394996814,0.641972580102735,0.44938077191778475,0.4770495452440138,0.5272640756961199,0.5703826644609175,0.697135864212247,0.8154834635831967,0.8501542620431674,1.9192177537148485,1.0234273028826921,1.2125604035343407,1.0803767119447043,0.8933215411988322,0.8195497317378503,0.6248507462522093,0.5981637618843875,0.5774052137755188,0.48588001466542163,0.5079583211102636,0.5585909078853691,0.447048782966867,0.4412589403417475,0.43242849789723653,0.47213068982614836,0.4720971755035059,0.4995744636722364,0.5582085764771796,0.5512373260110918,0.6088868235281115,0.61790612832323,0.6924502736055724,0.7590284198531855,0.7899281359983494,0.8755511299313357,0.9806833494265744,0.9080396320696678,1.0684030155726851,0.8789677511189828,0.7524747945417876,0.8080679384257932,0.7898292332610548,1.4850435150622046,0.9704197873907836,1.5220112938241204,0.7186713678937882,0.6614364851164554,0.7292981925617726,0.7320703574485293,0.6934747723975586,0.5631805869118531,0.8058298376809877,0.7346582074665596,0.8336948796517686,0.6674254290392192,0.9608404055333426,0.9777297107945067,0.9313169897864934,1.241027456284553,0.6129376964732356,0.5808329787788418,0.5570672727665051,0.6524038084977806,0.7171574700744705,0.7779247514692436,0.7517509329223331,0.6816223989766114,0.651207654584352,0.7760473436664364,0.6531475196111028,0.6095452859980506,0.7450895971114441,0.8361345082045669,0.6722746349037763,0.728954520560922,0.9370871780549922,1.0795808513868812,0.8399576276429087,0.8436148356345096,0.7467153385107743,0.6798502072999544,0.6079444372987708,0.601565013866228,0.6733603871947705,0.617040212874991,0.5832151818886038,0.633454292170991,0.6958525167445527,0.6004202937739596,0.6686351811399086,0.906262162600561,0.795517724543043,0.8162444411072712,0.8270602396682029,1.1717844249264586,1.0076670422663454,0.9800645728261731,1.3173992209256002,1.362007553447533,1.203537085113459,1.0046612252818576,0.8407099933080279,0.6857678185491498,0.9688410391166556,0.9125459460582229,1.0216905745741602,1.1474858609614427,0.7720812504523455,0.5968740818086476,0.4582244709168433,0.43739763256342534,0.41677968705172913,0.4738094791584285,0.4990982585313269,0.951223208488226,0.5042462324334536,0.46207932985714817,0.53916572112119,0.823408851727938,0.45078235464392113,0.5978644912140539,1.115236759437261,1.7881673985518187,1.934899180771968,2.4765883257597343],[0.47948021722472944,0.4502565818226056,0.4208557279761235,0.4597458352201679,0.5093143219480757,0.5035176578396559,0.3825147717378013,0.41834053694202644,0.45221418788377254,0.3990198035361119,0.3739880501463694,0.4367326535738829,0.40882216719731357,0.44729173534473227,0.5248077681102211,0.4774679836717332,0.5222302778950714,0.5522059398309086,0.7068864743943448,0.637594313562581,0.7163439715818509,0.7771249955118595,0.8591487458353853,1.0716894077760029,0.7722236020298753,0.732239728576369,0.6747795185220233,0.5490126575911837,0.5397591147407791,0.4809865225590096,0.5319996643241367,0.47118788639768083,0.5615023122672316,0.5614334344203009,0.49246736465848884,0.532506118880046,0.4924709284435064,0.5573900763038827,0.574632328725846,0.6179626801401693,0.9791968148090947,0.7590715819369223,0.7859772863840657,0.9085341646134985,1.4015626423360519,1.8138418930918856,1.7750758465174024,1.1963665123483913,2.109796113538301,2.355178335751554,1.297014386328243,1.584642717591871,0.9861165738626688,1.045949501401283,1.5622668058359654,0.8058526876602773,0.8218362512768026,0.9186796310688639,0.872263616445614,1.2564613320055338,0.8687927355678383,0.8249626190957363,0.7195174064415935,1.1047217471715518,0.8607254513471452,0.6897020229336257,0.8371389324929879,0.6903852019886826,0.9301002052360244,0.8033596166313568,0.9571148471291919,1.1113478030327697,0.9060432726100562,1.088384572204303,0.7569827734532542,1.2689270022634467,0.6555596644169225,0.6214660424296541,0.5835830572669385,0.6067195658124613,0.594958687132756,0.6521465864794743,0.9927325923292446,0.5525273993795505,0.6116152765251824,0.528438987572041,0.57788453749374,0.6280924815127021,0.5734123486792824,0.5990768771295528,0.6350692406843813,0.9059892077880942,0.7251017247060446,0.5902153368088051,0.5485691828421047,0.6672702639236008,0.6500163652181294,0.5285113444149073,0.49070877449283473,0.7177495479436664,0.49333041714296527,0.5408253850812363,0.45364348929275644,0.5172819701116238,0.4987895923005874,0.5105169665629608,0.6013569036840742,0.5660613760185926,0.571826955867679,0.7008433678981513,0.5067826710941608,0.44746076274480356,0.4221016101056139,0.47175520468244464,0.47060467145780965,0.5439149358672111,0.5562992252013529,0.6449994916807386,0.8233487016014528,0.5821146509739414,0.5849275198120457,0.524676476684438,0.588021251859956,0.48875972698764336,0.4575452040336151,0.5187604639686918,0.5128474132684059,0.520094344165576,0.5135251863286473,0.49892795505882087,0.547822122056026,0.5469413012751254,0.5691788630517863,0.5459469654138027,0.5717099068180619,0.6116901794846477,0.8498146083331521,0.5939852120705175,0.6009640811436142,0.601337186911641,0.8134843762452308,0.8909114616147793,0.7404666628811467,0.5896964921841594,0.5834905861820632,0.5554934280836674,0.5152985555249822,0.47177285702082944,0.45100147495110304,0.4940478723321197,0.5173673923309604,0.5703599839275996,0.8238278960156823,1.6035451036576744,1.1547304474943716,0.5762667343742582,0.45041234818038534,0.48212189839035763,0.4433658486956854,0.5133643875048087,0.5015933568006699,0.4775751666462706,0.5379103494900392,0.5361379568874061,0.597498994527847,0.6748216735558922,0.7283264310385806,0.911605305958221,0.8786723327682027,0.8082779478408257,0.6788231381762478,0.6133976937908722,0.5792005140264234,0.5226236192691314,0.492404955016907,0.5157679242417434,0.5110816622491638,0.6317697369870514,0.5579411253273062,0.4968097508812475,0.6693559165793509,0.4982357427763111,0.5416562896914268,0.6122703463116094,0.6385863726400179,0.722034069274428,0.8411585183858004,0.8660952085605244,1.9129310241633666,1.0362440226367684,1.2456983583585814,1.0186914711121342,0.9367089388585181,0.8710345213200297,0.7022021164391474,0.7138836809942277,0.6893993881932222,0.6068432034181205,0.5941856518358557,0.625635490595376,0.5099015154203902,0.47362994264886876,0.474726919684157,0.5450954690477433,0.5275896212328348,0.5309210750833562,0.6080826980771739,0.6119815408157194,0.6455113337950392,0.6283369161766521,0.6990042855322931,0.7854091254219174,0.7978925953887961,0.8542545887023762,0.9831981709597238,0.9051278052438122,1.107974491603149,0.9053968729345693,0.7964009483076394,0.8695647195309568,0.893717173288845,1.4825977559550307,1.0456996213956016,1.5116690551820082,0.7870044047251723,0.7361852301054777,0.788370506794936,0.7903971109225817,0.82421417096989,0.6689487954828285,0.8793437963659219,0.7953232622543982,0.9087058559499044,0.7631268750265189,0.995307983120361,1.1179502959677512,1.0261787510631866,1.2796419497380267,0.7151822874562076,0.6404000722076901,0.598506689618803,0.6518117430306123,0.7133361743807872,0.826502713027942,0.7700040759743599,0.7086876743434065,0.687630056085565,0.7827206641028974,0.6878873654101937,0.6590213105156969,0.7939405293003056,0.8867344411226616,0.7038588618851069,0.7939438818656821,1.0061393564211254,1.133013437543556,0.896659464570004,0.9165399493591198,0.8138770266578238,0.7602031708218601,0.669850177643447,0.6665465388031528,0.7592344468779336,0.6755782405567821,0.6491569947631726,0.7165552227715166,0.7636651484936774,0.6823516567517758,0.7662386033959099,1.0004847778949242,0.8796711752670026,0.9324190484281148,0.9623035067088453,1.287967571676051,1.1151468802527438,1.0695122421947874,1.3263058331007007,1.3630870917303108,1.2808968328778871,1.0429056310974683,0.8560585511571088,0.6762918227736837,0.9528942421420918,1.0234279871941105,1.16461179043594,1.2823569041190506,0.8819712358879621,0.6846853518563896,0.57086441740645,0.5498950966329965,0.47948870290715273,0.5155107576711327,0.5276058576132628,0.9104083037605339,0.5461885345339749,0.47679622104791836,0.5665814867163479,0.8843638479281659,0.41560088265619993,0.5853552164179328,0.8957535670092124,1.5240527915226867,1.7015471697755005,2.2109860734474496],[0.5095711555133842,0.5109362765392791,0.5042763219022671,0.5117538432211376,0.5124652797239608,0.47466949089154503,0.37457200898098764,0.40765169581326127,0.45761476915036053,0.41747947111024947,0.40184303317814113,0.4689159164304632,0.4399446055234241,0.4426203803823185,0.5014845348452915,0.4747807052120311,0.5351567094665054,0.5473834235793442,0.6692676146421337,0.6215156337525475,0.6741522723300795,0.7515413556985373,0.8125180465850054,0.989443276922496,0.7375603957376928,0.696466499142066,0.6706853198540139,0.5521861436048244,0.5500105684326585,0.4852809868367897,0.5241076419200076,0.4768286370513706,0.5151276111213507,0.5467820740559174,0.48629625484483474,0.5257846986480194,0.496303257351062,0.5855339800858592,0.5943170199018883,0.6356342897829248,0.9654243334024684,0.7561524648632625,0.7781112388027427,0.9093797774533875,1.417186443656065,1.8816389309952466,1.8429508094667004,1.2228871361924456,2.1321489191753082,2.458483450965093,1.3339279074204882,1.6117093595948873,0.9640647553775428,1.0309060285320388,1.5195593372373388,0.7862699372140257,0.8229299854488846,0.88543220194033,0.8412919935333605,1.2669294610759383,0.87393709334601,0.793702452014965,0.6799202174435504,1.0165795563264262,0.8070494614805361,0.6522619397996477,0.7955121329175162,0.6699868408210395,0.8673672869010829,0.7908073581165349,0.926129607875031,1.067752845370148,0.8699811237972213,1.0693863939833792,0.7061120141953466,1.1881068795831058,0.6268889254978485,0.5880591097901364,0.5720981153630178,0.6180912881186805,0.5972784332037384,0.646115939802096,0.9800666608228454,0.5940283385021493,0.6183435151221094,0.5395230410138606,0.5791485181687807,0.6476411217750185,0.5598642508005581,0.5840030410114937,0.619870692044952,0.8745982524372972,0.707766117197209,0.557060256505624,0.527751802107386,0.635605088299996,0.6322446565892985,0.5106847582557539,0.4688821675299557,0.6493000735013168,0.4673200476303217,0.5330139234096224,0.4496420647585588,0.5076781809586259,0.5121691103828921,0.5167736738778811,0.5702591512037273,0.5711693704768528,0.5606331877865491,0.6601831319605165,0.468541584895844,0.42808858827390983,0.4204163102502774,0.4593580500633637,0.47261216391333233,0.5394133807535472,0.5505145597831591,0.6539276485907095,0.8157664123385213,0.5719736353876727,0.5864008434280346,0.5297530595757848,0.5774652122427602,0.4741913394347766,0.43631131072013213,0.509835756782161,0.48597960708951016,0.5095748176893732,0.48549211961060645,0.4864961638928511,0.5292969721760664,0.5246249540466037,0.5641887373931078,0.5490618251599403,0.5715163754758059,0.6053435918327122,0.8315538483926497,0.5877767349170586,0.583719830119207,0.6064220385663334,0.8051251619403758,0.8859236654389862,0.7275269737343243,0.5970625475033308,0.5919980943294938,0.5779339945812895,0.5280847615358993,0.47443330028550573,0.44066032409220696,0.5015447640932185,0.4974206451608512,0.5560910182178527,0.7804133230089106,1.4868737762335404,1.095739963270253,0.5351140038959274,0.43732406263804197,0.47991316465092154,0.44616293272911034,0.5068497972294743,0.4947652955188068,0.4951205625053318,0.5579009714312503,0.5518229506909411,0.5979426546952198,0.6728202004615821,0.7368988546923525,0.9273782417322989,0.892827400113882,0.8149658660656043,0.6796214181475665,0.6144406095245274,0.5862171071382585,0.5348506724772991,0.5066226784180616,0.5374665300295558,0.5259422588844901,0.6304939292936099,0.5703157244465771,0.5105764732055824,0.6857470371147562,0.4906455135942655,0.5345846957236698,0.6030264820147099,0.6343936780890697,0.718482102868784,0.84501150500724,0.8887559409712549,1.9007724841823108,1.0246510449927968,1.229805446827029,1.0057587907363619,0.9164982583550041,0.8595728100623767,0.6894073794427654,0.703981895098305,0.6771352171539684,0.5874438848681504,0.5840706005549134,0.6102059324047568,0.5085047321542112,0.47518629462924955,0.47759381332804185,0.5292938298402639,0.5161188401409152,0.5223927402096784,0.5854721490983122,0.5861117939945124,0.6251037512856439,0.6341384143206205,0.7009020002555002,0.7839293141187081,0.8111742557620838,0.8970182527501701,1.006337358703319,0.9060749673445829,1.0938085343078743,0.8858128527087616,0.7798402341050328,0.8338439268020734,0.8420467386819117,1.4049945383963345,1.013101734001436,1.4952617893113795,0.7639059217471503,0.6983945571644304,0.7567722669765148,0.7551723696068039,0.7796501038673487,0.6504405121555259,0.8592358447099896,0.8049238977646437,0.9011459731907484,0.7484490717066077,1.0070519709363732,1.0974909853057866,0.996362430433941,1.2889901706391265,0.6895316927448656,0.6568042062131088,0.5978888842811108,0.6465565772093786,0.7023067979983416,0.8057093711384368,0.7494963881152262,0.6787356925772561,0.6621082409715661,0.7330964213363661,0.6505580698998795,0.6366613841738045,0.7504269994322912,0.8448082961123762,0.6860789526783012,0.7468405801884441,0.9363074318916679,1.1136254820830644,0.858091724451972,0.8572839076725474,0.7686225050024577,0.7047128204485488,0.6389201990650814,0.6392793145511213,0.7113935251742906,0.6500272154541998,0.628950627119566,0.6823069408583006,0.7347929699387831,0.6733600606342679,0.7576487201307702,0.9825036862891122,0.8517924079374162,0.9004612527790714,0.9254934403236287,1.2507828061220134,1.0783253473335639,1.0250637329259398,1.3156244659223086,1.3481750755303694,1.1935572275375828,1.0012839450851132,0.8499261212690948,0.6872284412484851,0.9365853911230756,0.9475119149435348,1.0829998893469583,1.2215964607656633,0.8429998378585559,0.6659577008823074,0.5448689364387725,0.5246953639488022,0.4798052521019654,0.5225642800816622,0.510467978233273,0.8667150719503177,0.5453849813342334,0.4750580113433217,0.5395959928350759,0.896747346774205,0.4372398114845328,0.6523304548811397,0.9262650330748599,1.614680101619024,1.679362466262138,2.159594999943083],[0.6104532227812663,0.5479777748276705,0.5764725927765892,0.556634120194813,0.6416424385966605,0.567730309361813,0.5239859984474126,0.542484668676227,0.5456502949549756,0.5913194047845397,0.5602205138932043,0.5814969873598798,0.6343099459479941,0.6407599137621048,0.6724763522753741,0.6733822471404023,0.77666918368099,0.8269332090210375,0.9816464050195479,0.9579967510094418,1.0270717589688163,1.105360087696887,1.1933877426154487,1.3163626975665312,1.1362322187384273,1.0749870963211705,1.0327934841223376,0.9324293886793871,0.8425290564298924,0.7192419168407415,0.757144186603815,0.6664151931034281,0.7011805434972395,0.7605523075921744,0.7233163481784168,0.7936248949964196,0.728136712026472,0.904855896067806,0.9646184114646118,1.0230600386633426,1.2544392415770584,1.071257070661817,1.0943119591033388,1.2148544408112676,1.7392715734780535,2.101268876918025,2.1238061276804787,1.4569994151224737,2.1638486693280137,2.552554989831829,1.5324894468729489,1.7465570302035824,1.2457968597349864,1.359886761218816,1.7454384992754077,1.094626228605251,1.073497118520848,1.2265364852837841,1.169587033717969,1.4338290369813185,1.2044113555723044,1.1330559129769586,0.9920722232360494,1.3427131512420156,1.1665993620593405,1.002107722671005,1.0772245947540855,0.941198197791204,1.0930525641997755,0.9937123462399954,1.1227442754893056,1.2398557242133734,1.044936755780196,1.275884920081028,0.9457515591365051,1.3192132846349904,0.912488267794042,0.8490603782571282,0.8286527467292167,0.9207473502817106,0.8813472042481088,0.9726636751867971,1.1821787289876446,0.9396132892412525,0.9703536024388218,0.8746401250663828,0.9129859033096148,0.8673965492908258,0.8485943826116202,0.80023930831991,0.8667852819902038,1.055181298962744,0.9048968980387677,0.7426591189294568,0.7016955333291586,0.764886312738561,0.7759751264455143,0.6500728617740111,0.5854649298465251,0.7199860402321114,0.6217217899995613,0.675674734882996,0.6559760510659607,0.6886160807595876,0.7707558377085769,0.7289111889960906,0.761255310826117,0.8355446829009259,0.7751261078472707,0.7952912689636703,0.6753620524751509,0.668287053971482,0.6242543392970592,0.7390999176248245,0.758485732125373,0.8828768886005324,0.9033274528241374,1.0441352345720432,1.1762134613820847,0.8772786046481559,0.8763912236273858,0.81588574251074,0.9117372032643785,0.772926289708328,0.6806031229911159,0.784903916428415,0.6719867857564854,0.7901870506435871,0.7495314280363152,0.7454918682000032,0.8407320758279575,0.8278951227516851,0.9354900554614488,0.8538072143319447,0.9348147648241918,0.907494591782179,1.1164424849031807,0.9670931672009399,0.9751354515244501,1.0108610296594636,1.2382046680883165,1.3234055406885057,1.141613270650548,1.0201820131063726,1.0120271137585726,0.9214539686671592,0.8775120869640245,0.7634198019810592,0.7081172975541884,0.6715866102948332,0.6379838844287916,0.634056219442304,0.828068575668268,1.4832959440029725,1.1445310167874716,0.6220374038078917,0.570104952494257,0.6264693985400476,0.6405262931239598,0.7292156698161167,0.7829120218742475,0.8277562960178717,0.9642397148059692,0.9562499914418809,1.0148782227931532,1.12969116935269,1.1564948583143349,1.3740237672520406,1.288434712355007,1.2228291454939926,1.083822887449495,1.0136428905563293,0.9650305552753228,0.8763895325645725,0.8508700684319993,0.8169981336300589,0.7862432432378803,0.8612919584465609,0.8805620386920291,0.8212228149079439,1.0085885148176092,0.806699393373581,0.8962851076109916,0.9650074550710335,0.9998712718600127,1.0429156553130827,1.1660171258418905,1.2858648319762334,2.0574874330234203,1.3700647954657414,1.6209914195011403,1.3144190561648221,1.2592896851551105,1.1945476209486394,1.0650738374350206,1.0622986706232718,0.9964507028430928,0.884911022599692,0.8106020820869873,0.7883212995249742,0.6823293172184315,0.6085634543684106,0.6371654147756706,0.6643215946658333,0.608444853248977,0.5803084353638225,0.6332123470000117,0.6484193809497013,0.6492992514263929,0.660634681732249,0.740622919813123,0.8334995115620623,0.8694949892640643,0.9679078298331316,1.0921984303892978,0.9606728459119902,1.1564832755551928,0.9513566994284262,0.8384889979546453,0.8869194504567389,0.9290269132826934,1.3724799452663667,1.0871516906733103,1.4144905572625568,0.8177412686281007,0.767056776768242,0.819218526111089,0.8616003455344103,0.9171400623281941,0.8018479295851908,0.9449394185140391,0.9319364244105091,0.9927775629075021,0.9313483384539148,1.2790648594212035,1.3750028937837144,1.1968160551540945,1.5072154093739605,0.89539100955666,0.868656146612851,0.7572351486178179,0.7200300626812711,0.7946496506711405,0.8465538579880093,0.8333551794367703,0.7624263661493156,0.6750598714377828,0.7414713388868358,0.6815718617090968,0.6526450772296899,0.7450866311893937,0.8417019575455277,0.6987285389695975,0.7690619145225775,0.944891263695581,1.1423315528717564,0.8977980745703515,0.9010910013794963,0.806637215598601,0.7391435899638876,0.6597808631025474,0.68518260953727,0.7494020031791703,0.7045847419929596,0.7162006268911063,0.7673247458232938,0.8056850111997185,0.7696356787390625,0.8956042633861737,1.0875876518507122,0.9681146310138945,1.0829696954286787,1.105963409758341,1.3842025401159204,1.196097023070214,1.1182322743870732,1.4622135901106956,1.3888267049483067,1.248046372631598,1.0149089386625636,0.8535617396602933,0.6874813881155452,0.900928903587056,0.9874652453605196,1.1807314152013957,1.3422941380494227,0.985974460324248,0.8078082087329175,0.7583790813772026,0.7084466777237605,0.6175767601507725,0.6570997548956546,0.5740459580512346,0.8369991888330417,0.6742646772102259,0.5287114060689576,0.5968896883868906,1.0005248086617096,0.48377830249592696,0.6993210141994259,0.8307758197628594,1.5389904328780835,1.6395809871579734,2.1322252750081576],[0.5230254560971609,0.5497790102375862,0.5965246176819607,0.4732831759922501,0.5345199650895979,0.4835902482699358,0.4021317155240403,0.4364349707993814,0.43693475084330574,0.3567747963239453,0.33770221567108466,0.4506610490967338,0.34165099344440686,0.3351656943441431,0.40412581307510115,0.3594870365060496,0.4076009736372303,0.41257933167171096,0.5454382602497388,0.4784168942138527,0.5612369540838985,0.6357198035759383,0.7526296162818035,0.9125674841749992,0.7299352106997987,0.6165376611757322,0.5640054758382462,0.4185939215693001,0.4065757231637434,0.3519260157314119,0.42543215919180705,0.3643012673276877,0.4309717552869776,0.44336036733348244,0.3800740547190035,0.41218409068710454,0.37388435637860434,0.4541717624013504,0.4336806161674822,0.5107731694764844,0.8804182503891366,0.6530441237472852,0.6956665344809799,0.8684538105921528,1.3562207563117266,1.9236151186670296,1.968607221484986,1.2623737782939695,2.12102893596762,2.6814379936940873,1.4362013839135341,1.6877196510013674,0.9151079016093373,0.9096148251445475,1.353100835058187,0.7536882668337332,0.7997169927449845,0.7634394750604061,0.7185117133935388,1.2702000675835263,0.7993210744323974,0.6839820647284026,0.557012765930262,0.88618038224026,0.7388522878639161,0.5340759285860115,0.6786267194794338,0.5285125366067802,0.7287999649854037,0.7156177639820596,0.8412826856405878,1.0153651884550088,0.8107851778640812,0.9717241832570366,0.6120767014571434,1.0901156388603297,0.5178420800733722,0.4791827159683635,0.4760428564677007,0.5005003731212909,0.4660428242766786,0.48719541424136764,0.8467377099327654,0.5057084601367178,0.5273143749003418,0.38556206270317217,0.43141619317522484,0.5072841426052174,0.43482594905433547,0.4783925531340758,0.5025665068251006,0.7817330551304711,0.6371909987280596,0.4645774370211289,0.4273886077034277,0.5534203154714621,0.5712232677113122,0.47157522395688267,0.44360794741714293,0.6375671507546518,0.4286135075298159,0.5261489391855396,0.3847394533596664,0.48464192369799414,0.48480121764898343,0.5037169067017471,0.6121562197604181,0.6499681034291207,0.6391867129858603,0.7191430768910533,0.5599352768272944,0.44125212633520156,0.38096518222029496,0.3586107085427785,0.34537451430392396,0.4090177546222578,0.4197250515144503,0.5228262331957713,0.6937385603841143,0.44365357592535504,0.4706603012777255,0.4195617539971919,0.4234785358013054,0.3104066727012719,0.32799198466579954,0.4167540821128795,0.519899423479541,0.5048677646649582,0.5163201761570972,0.4986935169258663,0.5797744964912578,0.5926249693619183,0.6236469781517134,0.5688280865298407,0.579950835554907,0.6089329033920506,0.8403349338976965,0.5625638357563842,0.4980182308978679,0.4757462037874631,0.6798711619331466,0.8043916516022012,0.5966655770645016,0.45193949641602044,0.45561146572929706,0.41840098482441507,0.37692052535915077,0.3817010158043503,0.3464524486149148,0.4171399849390699,0.5004499702504905,0.5568000622145748,0.7940239894391132,1.4103671015206944,1.0965577236013526,0.5346895711439783,0.4036660453624325,0.4375213912566921,0.3451169375024478,0.4275766731098663,0.4061280287910529,0.36836311021080664,0.44219130711099386,0.4395029091744079,0.5297594037795423,0.6194805219349251,0.7342078680822037,0.938795777513806,0.9442524668915827,0.8121016333749714,0.6668451268617727,0.5435810374299426,0.5267380605453753,0.46381384106224943,0.39935602401398723,0.4338843135793554,0.4153416755185935,0.5133149114304174,0.4555770775377775,0.44106103072958946,0.5843547201796386,0.4665759928414115,0.5457395050077644,0.6344154224110746,0.6196085456201894,0.7000822319691523,0.7725442954911528,0.9174636414160856,1.9032064848397923,1.0758504055223161,1.1586916846490223,1.0009477964530704,0.9590412350548955,0.936683473530581,0.7599435198331705,0.7765356073421441,0.7162253962534306,0.6706175569918692,0.688957404766453,0.6682875045000052,0.6330530736326775,0.5643734276695547,0.5591305976478007,0.6292988939729741,0.6349049586925746,0.6268669210995124,0.6698757932352283,0.7080067768102211,0.7464608397705245,0.7580507570229273,0.8178692403610835,0.9187448402251568,0.9534934602901389,1.0400152973143184,1.1483580347715996,1.011288739891397,1.2181905279816103,0.9741962881223276,0.8854186401410953,0.9487006983230099,0.9455301548531794,1.3429994711109612,1.1031406699149957,1.5051470105227933,0.8640076560876266,0.8017925846241247,0.8660790292548632,0.8431364735255806,0.9105684541084902,0.7688792996095369,0.9168101354246561,0.95081604760346,1.0239435646113277,0.883420179000292,1.071121673511024,1.2678210711987086,1.1104964741648597,1.2958884191649764,0.81509285606172,0.7177926031147774,0.6999377017966524,0.7217167584711796,0.7099621304435053,0.8556084695429037,0.7808190687212139,0.7295551323692339,0.7046535395100619,0.7552415882455317,0.6913422219889389,0.711209655745713,0.8202192498399211,0.9208751605297313,0.7912677137250161,0.8628811434763028,1.0371304536111707,1.2289014420351767,0.9918115341322444,0.9936431333085686,0.9034060805452839,0.8358484873121617,0.7334144608422631,0.7604960550834018,0.8422340017434615,0.7731008937455147,0.7526980568411534,0.8016890782601245,0.8411435634877095,0.7691809375298949,0.8790048054599422,1.0825385381605834,0.934668062552175,1.0300920860753522,1.0714813001543504,1.3672522317792517,1.1572417178891055,1.069137329569071,1.3909963434676358,1.3225731116672896,1.2464102627079119,1.0032526285701482,0.8626633956152393,0.7558426669907375,0.876973130859305,0.9406129079768052,1.0954058049573923,1.208229693694591,0.8813179166187138,0.6935439392879503,0.6130414917367676,0.5725622361756212,0.5663160125052594,0.6046667866841554,0.5865946549045788,0.8528337192713936,0.6688982235717534,0.5850255132480894,0.6387271948735437,0.9726646992349413,0.5198367153142471,0.7881513524519139,0.730748831132652,1.3886672700946494,1.3458195579527634,1.9570998956457597],[0.42829925617077835,0.44183551136882626,0.5487018687119396,0.4438260020432725,0.5342809391990346,0.4363255236279884,0.34400492993365694,0.3719039357337101,0.3894281382238679,0.3382232866811151,0.32417253450911565,0.4259309674085385,0.3496864205078923,0.3341456861958983,0.3964652370238126,0.36380768198015306,0.41330549718172,0.4221450614969396,0.5433160570526547,0.4804566700139368,0.5712093696983226,0.6302809401796545,0.7812138296732792,0.9152730924421237,0.7973633600154094,0.6460989380556827,0.5838947854493866,0.4417899694681669,0.4336468636424179,0.3709397146142308,0.42586777623767025,0.36289364391419926,0.4113126840248189,0.4433480835053835,0.39693554141130266,0.4262505588922116,0.40374598110236626,0.47707649286288006,0.4490404612732137,0.5248160263077604,0.8993247043119461,0.6620944853632754,0.711947286154981,0.9019602327031323,1.3256694795122828,1.963554507090954,2.0161065663414597,1.31584585478301,2.1857676428444113,2.7900424994496325,1.508528881848068,1.735792121584246,0.9282401783111351,0.8924387602128562,1.30966186963919,0.7762914106761125,0.836901863057231,0.7612788427459748,0.7197820865086224,1.293553860342995,0.7864155789109292,0.6879650044007886,0.543933626599805,0.8297052504797566,0.7393367603964339,0.5427994973648903,0.6653550379057588,0.5019617046612831,0.6619140942316452,0.6920461384971147,0.8100663885494184,0.9715036709366375,0.7742869290127994,0.8774101004201457,0.5986383674070398,1.0485503030465406,0.5092926640857933,0.47424730540609666,0.4942441392785265,0.5203918504812262,0.48313909299291985,0.49963278232500746,0.8307476938193071,0.5437547524011169,0.5475448154712201,0.40719113677281327,0.4497179126823441,0.5367200885004768,0.4441964736963826,0.4849847177563262,0.49200588671311024,0.7429408366809465,0.6228960371591576,0.4523806668598173,0.4179279273591618,0.5213299251622827,0.57895139556804,0.45311805588649023,0.41337427395033627,0.5710447250632829,0.3947052917932891,0.5134723497031406,0.37480715188478614,0.45850283665724056,0.4869197123221255,0.49955779686810714,0.5661746083984437,0.6384239387563988,0.5943791101820324,0.6507966117200555,0.5113156809997069,0.4237555397691276,0.36159192172849175,0.370033494845254,0.3649203289109633,0.41979186809168506,0.4382306367226294,0.5279682938222714,0.6549349803430353,0.4474162114125153,0.4862038716843466,0.4289192290952678,0.42987348870537423,0.31818204729132743,0.3369471728253858,0.40805040039569607,0.5028307417172595,0.48793436488264463,0.48663166205516784,0.4843750382639291,0.5639346952009417,0.5679880968505601,0.6155874035177873,0.5561606323511465,0.5779948341721045,0.6056430359494525,0.8277293374783249,0.5692431722634835,0.5059245553035912,0.48434524221906067,0.6655115320043119,0.7639639833056676,0.5811084558272952,0.4621726262722972,0.4691752479931151,0.43970388514231584,0.40252617803269,0.40720856698074953,0.354866856306989,0.4061942910049312,0.45352661556705454,0.49289008753983304,0.7250914179548772,1.2604180044506195,1.0049827686091806,0.46408108470365494,0.37263911952570067,0.3985582643170214,0.3515623266343601,0.41446209770378695,0.42209203484054536,0.389844868131289,0.45522103625138005,0.46098755745966585,0.5483323876162519,0.6331155002733099,0.7416075236522347,0.9372962471053246,0.9385707876090578,0.8151843546271766,0.6718768181275174,0.5573044131858308,0.5440940599649513,0.48286683732433394,0.4265023905488945,0.4541335144930591,0.42604859055850547,0.5023432930722258,0.4772797084313089,0.45708299179299794,0.5968421869392215,0.47439983040662864,0.5557939131354825,0.6384472842596604,0.6286392523752642,0.7127289115697386,0.7788216069245237,0.9445759492854308,1.9215533909772808,1.09258515713732,1.1494076766069006,1.0093053802810623,0.9625942170938929,0.929915049349192,0.7462728399151526,0.769913727112,0.7112832877632441,0.6572862560470338,0.6625852298142126,0.652321992318961,0.5818668125295824,0.505849994461248,0.5135430106846631,0.5712271749064264,0.5455435124262434,0.5247456874725531,0.578216495319703,0.6005146020349565,0.6040815825727207,0.638374866774571,0.7119078731818697,0.7881836903825624,0.8134159160441934,0.9469546850150209,1.0518412880959773,0.9427969663869458,1.109732808399609,0.9022651843908743,0.7864602169850426,0.8400736119714532,0.8756847452492365,1.294613748054046,1.0532781912190812,1.4310924669905016,0.7875626443868534,0.7291544318408836,0.7961144419397609,0.8002693144056773,0.8480555584156135,0.7250398454834314,0.8753214906782057,0.9050037252443262,0.9627465920448577,0.8356601403058849,1.091328074820042,1.229799663151775,1.068055780517712,1.323301435398525,0.7792746714583059,0.725629105278705,0.6598691649557417,0.666533567687118,0.6714968033367641,0.7741261204874732,0.7293797094091986,0.6709821413155251,0.6293811651663324,0.6491344839897896,0.6062346884783685,0.5878217706981133,0.6565799485598838,0.7497927484585212,0.6314219227835333,0.6766668182864997,0.8176989088082969,1.0637455543693637,0.8163933607697861,0.8041137256685328,0.7317184319137157,0.6734365156819129,0.612706182897333,0.6380902361798462,0.7041548541170802,0.6439207309679813,0.6521172103324047,0.710735097143394,0.7485877087403037,0.7057626943856051,0.8214811766751832,1.0349344396251763,0.8815123998704835,0.9795407236469349,1.0180058105022092,1.2909643132183148,1.1086277254514052,1.0262171648823073,1.393691569385586,1.3268221182608093,1.151310414614145,0.9639915616018417,0.8165183851660914,0.7026440880219924,0.8765515550967155,0.871006698051953,1.0400512512497186,1.1957203546833384,0.8592002960472942,0.670841217377522,0.5875354535368745,0.5334234266468937,0.5008379253081267,0.5416504555019619,0.4931110681894556,0.7491992279777305,0.5861348393364787,0.45821971600172506,0.5104376883578612,0.9335296467725384,0.39808000455035125,0.707774764572572,0.7164411971460897,1.4497574376362612,1.4454806161968932,2.0123628486424607],[0.4545780594031562,0.49201539623548657,0.6587835319955437,0.6390937929125279,0.7231852476135346,0.6254551805236317,0.6215871008425161,0.6236002467415672,0.6454853053152803,0.6748071826686021,0.6526918250985361,0.6976257422715367,0.7109359438125048,0.6807703013070385,0.7011569095600322,0.7199796418522147,0.763070650070962,0.7490736586495248,0.8069329744953919,0.7920641980004,0.8046853619112503,0.8690089656145706,0.9363277849229857,1.0710354101855195,0.8760730531114519,0.8314855379594618,0.8640001222075977,0.7942554210577193,0.7905502916194538,0.7343315412991801,0.7520061913732897,0.7206938876138111,0.7462225570699041,0.7712886003441103,0.7347982682059189,0.7568659163668705,0.7334846315660504,0.8321820658504997,0.8257602249814546,0.8717216208953268,1.106990418426214,0.9249159104463228,0.9581540897229087,1.0242501489811995,1.457021959797098,1.926360199261682,1.9430475184620197,1.3129746979850452,2.195230372251682,2.6238739954380006,1.4288120442723966,1.70841234262355,1.0225567759480454,1.076275580293267,1.5185993558880626,0.9589471350707406,0.9750467934118779,1.0649359110193,1.0056271422392715,1.3627754977809559,1.0003479419957202,0.900800419676311,0.8058202406694512,1.076576985467771,0.9411201506930639,0.8013582715859354,0.9047452728851093,0.801576148334602,0.9179774942548878,0.9204123552073121,0.9934103942985157,1.0944572967925477,0.9673981503690832,1.0942229156100918,0.8340552695258041,1.2369218783993985,0.8009159837561958,0.7784933265804654,0.7654065291518345,0.794827045519191,0.8416095713302424,0.8900816817955541,1.0838896413336956,0.8933181154129854,0.9067387964425428,0.8010004854313629,0.8344476118309092,0.8529504216336001,0.7611454424833768,0.7720445665957377,0.8192211470576012,1.005654523636968,0.8848395969625629,0.7674827976233356,0.7425099959255498,0.7860131638338976,0.8490336935032343,0.7292665836217397,0.6969389930269563,0.784374884112288,0.6989331450065628,0.7610312053536155,0.7209952819255496,0.7363483413855982,0.7730198862355924,0.7664888537930088,0.7834139789968,0.807398927355278,0.7575091049927485,0.7961787762831694,0.6990757874279728,0.7147716626401608,0.7027602304223536,0.7453270462592668,0.7509226798234918,0.7841929566664902,0.776865766923048,0.8172768970183181,0.9072230702517982,0.7398304689982129,0.7292656900993075,0.7440152036123734,0.7623484187092016,0.7133715884998441,0.7140377621356837,0.766674194771036,0.7069290736738546,0.764507887530519,0.7264735761649639,0.7231676616018197,0.7716305417335979,0.7673614156979561,0.8019362075241834,0.7756239146024857,0.7965280735220728,0.777298176199729,0.9663439067540026,0.7982502632984907,0.7933993656759947,0.8122435490207948,0.9042633316841773,0.9739362594413179,0.8614857175835162,0.8164145183097431,0.8196162066633585,0.8211064764817683,0.7727528474746167,0.7583912547675296,0.7178332937852108,0.7312722985588919,0.6936626750876617,0.7005432538941404,0.8508174495529796,1.4450328093366616,1.19433921247438,0.6955081384371135,0.6561278950492622,0.695033507247087,0.708948384878608,0.7629102157381208,0.7447710663358338,0.7795913308364082,0.8038562572528547,0.8009734287670565,0.8202215785320878,0.8510627024665621,0.8991714345627625,1.0402265952434475,0.9970544880076314,0.937369400380621,0.8619795252324178,0.8081884261171358,0.8111735582616264,0.7689328227789167,0.7835604093372492,0.7836953818680037,0.7695233955070636,0.8251003250515583,0.7955465114317349,0.7585769100471262,0.9086116663875786,0.741943413715803,0.7860384589626703,0.8102833491157834,0.8530273204886778,0.9456521254902882,1.0461493598277662,1.1214074749209766,2.019736932817582,1.1683033427524976,1.3417323046240108,1.122755487037944,0.9867696636692097,0.9501879075239777,0.8415195018077734,0.8997174771966016,0.8804610576172995,0.8005688619388011,0.7954564865583443,0.8411768428301228,0.7353496329565037,0.6846177546811094,0.709266335357377,0.7182784496810756,0.6712287233814273,0.6485825249472373,0.6990023345802585,0.6669419039432585,0.6661761113727747,0.6897869117143665,0.7388238639828185,0.7867677953656497,0.8241686188804807,0.9291158290633593,1.0223200435808135,0.9452757946125402,1.0804805491670963,0.9117263240390706,0.8075211405392908,0.8435052834980681,0.8798338771592565,1.3819597499718614,1.0700621746643633,1.4761338345635318,0.8482403895938563,0.801860991856098,0.8315884908642334,0.872141000833669,0.9188683117276224,0.8051255017897365,0.9688036150515424,0.9547572394942803,0.9926887059224765,0.9205515271327738,1.2360227593404207,1.267817299129722,1.1242462955739414,1.4819105608911467,0.8817941807512498,0.8965701600669965,0.7751097700283567,0.757899200301528,0.8268432342172803,0.8791663816226462,0.8983862254654444,0.7991344556479256,0.7573409438915563,0.7765233994179958,0.750707709610567,0.6798630332247405,0.7352453217179405,0.8179337855651961,0.6959606571311358,0.7287528908570706,0.8585924299928048,1.0561674490676825,0.8320827105063426,0.8194246901850576,0.7551512809066642,0.7097934447372476,0.6684962844536062,0.6941169456351749,0.7124866175379119,0.6926233998130644,0.7332914073780396,0.7496001578775752,0.7810751608072262,0.767179809671313,0.855656051186544,1.0266562494917957,0.9063883670147336,1.0013564852909513,1.0153972822214794,1.2958139429151163,1.1329742399755254,1.0671375649205204,1.430684139739255,1.3720081801394173,1.1584222979750491,0.9954876823564875,0.8688900459678989,0.7458376805891728,0.9627016832500046,0.9468835191935372,1.091686437350139,1.2705144501671064,0.9643275833284349,0.8309236524540587,0.7616562986868665,0.7082643838586816,0.6669219515367951,0.688798975033242,0.6159548024882879,0.8356730884587183,0.6787134464984502,0.5802989136947113,0.6260893058145803,1.049169411096883,0.5560060023636182,0.7506876315632974,0.9576087967517252,1.6541277444411029,1.8157630041411215,2.2925722410851685],[0.4068338943659906,0.401999553009816,0.5402537972284043,0.44399386093080373,0.4974202295181069,0.40092950839062463,0.29754150384495187,0.3138737277413983,0.35901455431039814,0.27895512369141723,0.2742188024001954,0.37954704675692297,0.2910338609963983,0.2735144758438738,0.354382770468787,0.3049732988897395,0.36375267663435945,0.3556484976398294,0.480002772805734,0.4214185917399921,0.4826616576693905,0.5558221165593491,0.6925669553632723,0.8274517228832882,0.6910916449283061,0.5595398261606584,0.5204411738738135,0.3717823154186094,0.3752417371971473,0.3140388420888062,0.37409197134148436,0.31420463977938756,0.3803507044372592,0.3989367515389639,0.3394473247068354,0.37126316872150805,0.3384562360287598,0.42257607723285323,0.4189297148890319,0.4888815973669296,0.8630065991234206,0.6143969426499385,0.6541507063944938,0.8383437395046952,1.286560489447022,1.9221035909218298,1.8919849210496469,1.2411754235755112,2.2046892063298644,2.671500500935862,1.4008669230001503,1.6494912523400327,0.876575184454429,0.8910438621796534,1.360369287493497,0.7030535628597295,0.7644777399995757,0.728682898639807,0.6893115793912014,1.2196731820374327,0.7421832235224952,0.629831358223137,0.5117230257421047,0.768865549162619,0.6613801308300494,0.4840950873472986,0.6105503300077304,0.4513165407606961,0.6267753269438657,0.6419213616934802,0.7799967417937355,0.9448441832274814,0.7171111831394995,0.8336120431532092,0.5356859458247859,0.9967217138004832,0.46084501944028466,0.42065717161594657,0.42741892819022625,0.46500629655772374,0.4384476365032479,0.4593770581707565,0.8330990200619571,0.5043905611953681,0.5160322241014763,0.3586470625391993,0.3965587119247087,0.5023606731855381,0.38439907849489274,0.4246144028655525,0.45291172447512956,0.6964988047921056,0.5804894553533594,0.39658379458063486,0.3649586839821106,0.5022117377689737,0.5724022035937133,0.4257854863667469,0.3732254528808087,0.5266807613189616,0.33774051713482156,0.44612687445886284,0.3187332843147632,0.40222910787039695,0.4411327414803997,0.4579395679954525,0.5044724859332151,0.5650395331658676,0.5232990098912631,0.6094404306579752,0.42710341206535096,0.36843759119814606,0.30878274280230905,0.3448223041030673,0.3112368060641206,0.38038722297542266,0.380477937257009,0.4609903478282155,0.5835883363856882,0.38129471615713434,0.4102757784398489,0.37040828430534317,0.373130037184116,0.2725918894337372,0.29369736707157773,0.3975473155725747,0.4253108674138467,0.46259610551979086,0.43782453292274714,0.4297590690790707,0.5027580816224415,0.5078673614526906,0.5611456066228647,0.5055784669941686,0.5340995453942105,0.5596845092518502,0.8089328709840399,0.5379677923065753,0.48399431811904114,0.46626662957201404,0.6401447325404169,0.7059319254061728,0.5344295941416558,0.4225325363680776,0.42262222070297284,0.4087794082706291,0.36472993495338213,0.3555761015515343,0.3099860955032301,0.3639881484330073,0.3804992810457561,0.47131355107364964,0.6810009686527595,1.2614890282971671,1.01506931909251,0.4247192083087147,0.3145375337647384,0.3376118935867879,0.3025368918529713,0.38006692010852217,0.3848779627877895,0.363251510187787,0.43030704666183495,0.4243437899635672,0.5159265595034523,0.5923911571705874,0.6918481953764702,0.8754044414610908,0.86513842713246,0.776222966260129,0.6426557722505062,0.5342668875933421,0.51301657026003,0.4394999681072996,0.38889936719291923,0.41502514971344584,0.3924449150341578,0.496800390492332,0.4435736817861696,0.4007069910188527,0.5840074680170134,0.4241403265366673,0.512109802540537,0.5720691359964087,0.5885127750639982,0.662024734018359,0.7517284882574852,0.860072918912882,1.889604895162825,1.0082286464864003,1.1508416849073735,0.9850319292199375,0.9000854403141615,0.8528748340264721,0.6810019998881469,0.6879224830586955,0.656776897306937,0.5793447445146495,0.5828796703078902,0.6041423798325188,0.5077477998857104,0.44385655901715654,0.4519881834082019,0.5166899580908633,0.4901310724373119,0.4821648870429191,0.553654876928206,0.5596046774121228,0.5627231953988151,0.6192656881993107,0.6945537016311952,0.738983135181,0.7689426188381139,0.9114749305608322,0.999073221516695,0.9218391193519199,1.0383181503045387,0.8557532443116533,0.7429182706932516,0.776199291154,0.7953422747373113,1.3903603428033984,0.9575150660026176,1.3960465415690049,0.7144082689271801,0.6463752945663791,0.7096582650415957,0.755369793210138,0.7441775105050283,0.6307353681871064,0.8248557593637649,0.8102081585927463,0.8559376993913611,0.7312602607028359,1.0519906865956021,1.0882097250793756,0.9695134550248391,1.305009951117296,0.6821028313995278,0.663445048934841,0.59077406140348,0.6256755888200134,0.6537958504988793,0.6993497191277402,0.6917026317249193,0.6146383690412227,0.5841063576187557,0.6167790437107171,0.5646532765381479,0.5262340017168935,0.6007600757116607,0.6901915677286992,0.5648675731916958,0.6071042217814947,0.753340905499319,0.9847172300986454,0.7482148681692886,0.7194937286507112,0.6643997206392829,0.6011609933995635,0.5480854033579325,0.5724663531241075,0.6173868760355196,0.5872836376324965,0.5873019539303214,0.6314540348699685,0.6840407211483094,0.6283438212941864,0.7078792313645129,0.9188082833724649,0.8022389748155635,0.8541059694203287,0.8723177842404091,1.1632653886612112,1.016764542453131,0.9758866361395889,1.3749352143000697,1.3832155657543346,1.0798504270957496,0.9579213796278979,0.8144136990733846,0.7189324031010177,0.9755402214142253,0.8479554868503842,0.9769975127449363,1.155816453369076,0.8289333586026935,0.635442586740503,0.5222291461076013,0.4648615977215949,0.40574537185612064,0.45623947441810353,0.4198200678596186,0.7589496702285947,0.48513337597282247,0.3948471087411792,0.4487283225018948,0.8797265330915878,0.37788323407947194,0.6575935673192311,0.8739648075080967,1.7165485772604385,1.8412860270414217,2.4234395264027713],[0.4120277911742806,0.38850255302293607,0.4475981807100639,0.4750934026781015,0.4264442718725416,0.4034431005070436,0.25602344593484844,0.3092196116814657,0.3659655293472305,0.2576904542256135,0.2668243725793751,0.3938473550893998,0.27558056383923457,0.2550015109686696,0.3255395098786844,0.2840189426788355,0.34233763893652797,0.3335082159110897,0.4376614758936198,0.3798829718844676,0.42125579157197807,0.49155404981100465,0.6025080864955935,0.771345877301559,0.6113510616599714,0.49856618036839456,0.44691015782875093,0.30542382693232445,0.34433461732717735,0.30404983582023676,0.34977229458520054,0.3126335318762223,0.3827948386998119,0.3672759942743952,0.3197111798495452,0.33982670621163363,0.3212224011994651,0.3603124735300983,0.36269288562685215,0.4207215307626881,0.8370766615272751,0.5729972675445321,0.5962462697478892,0.7780429892660372,1.1790381863910702,1.8573321843852033,1.7527293119158835,1.1731174745826733,2.2762892809460173,2.6254807486422607,1.3524488785558362,1.6213627717219843,0.842684586909964,0.8255624383176441,1.3938433865425377,0.6617257133640866,0.7548867199187143,0.6639582937690268,0.6602837652648066,1.182637279070488,0.6795454153279578,0.6080626415452879,0.5135653254517362,0.7275595097517361,0.5864759670592559,0.4504271542017019,0.6115742591333887,0.4422334948036151,0.6447488694506065,0.6094005733989819,0.7842376859236586,0.9533361795842663,0.7178360640341627,0.8163174744071274,0.4900313194623799,0.9767919745085203,0.40443266767327124,0.37813321176952064,0.3703585845727239,0.4157985526415031,0.4114680514108149,0.4328730709815611,0.8419959527851383,0.4031426783492963,0.45745443855158824,0.31259997752626517,0.35018277737726006,0.4817690964791963,0.3544542060702258,0.4202965013870992,0.41021218633995465,0.663163241454375,0.5237167723581758,0.37931714454852017,0.3541970231179944,0.49008932337059796,0.5218052952058503,0.41283544687370843,0.3748704342064764,0.5651465810846324,0.35002233172007563,0.4480736608485126,0.31819885852225405,0.39606695790041624,0.4046523080495501,0.41552619335134716,0.5077866648744477,0.46579212745363036,0.4684469561714482,0.6208450886496305,0.3953203133942301,0.32208769838513435,0.2650805596383956,0.30909863690328176,0.28797937090088677,0.33774101060265443,0.3547298673514997,0.4007982169857687,0.5336699305359,0.36798948257684266,0.37693413225902,0.33929122911491,0.3269511602683607,0.25101430700803473,0.2679273406353593,0.370358937385208,0.3741591022833947,0.3845670365482266,0.3759376794565252,0.3678428080262577,0.4076504281115427,0.4231806290984702,0.4439560080004064,0.4421595987108576,0.4384073178822686,0.48882396328789257,0.7520708322396378,0.43914712939901107,0.4090893041550298,0.391638097962305,0.5806638777634993,0.6264458476189049,0.4854735867988903,0.3704317306890759,0.3746748250759691,0.362746595726188,0.3129367869648078,0.3198864493026083,0.263386254706503,0.3462273294816939,0.3959726393098995,0.487943039797952,0.7267894942003748,1.368158258443445,1.0517482206545845,0.4583465509855002,0.3239917582099971,0.35292089507533636,0.2970183345473565,0.36229330375256813,0.3239437150594509,0.3088899826239837,0.34467257182420646,0.33948845408334294,0.4414319030481824,0.48230752851695374,0.5687955583804638,0.7377401125363378,0.7515441352332696,0.6772565601693962,0.534592878335954,0.44037834131095865,0.42533266876348413,0.3634275132541666,0.3185105871809578,0.364005808168447,0.35242461656030644,0.5138724129828772,0.37963479923764054,0.34300442528377406,0.5422779096111988,0.3487715407051006,0.41486450213466275,0.4655357882791636,0.49516238512526206,0.6316048522970362,0.7290457477120722,0.784900914766082,1.8575693686460313,0.9365868504412771,1.0813359920580554,0.8765268166010269,0.8028296784887963,0.7605791617013454,0.5684358625298769,0.5459095876543709,0.5299606623482754,0.4593503336278303,0.4794729841457985,0.5453648952293849,0.4277468627411255,0.38743210606156225,0.38750386970594825,0.4534675877618233,0.4390179433847682,0.4508217705411983,0.5268952042946857,0.5071052738992033,0.5467618083129034,0.5736014762590774,0.6358756283028854,0.6920368557632137,0.7375472596767929,0.8318229576430898,0.9064061177256048,0.8507465785868402,0.9725584406862912,0.7939499693129256,0.683440953955449,0.7210442488015246,0.7256957374955454,1.465660767671106,0.8920916632752475,1.4780409545122228,0.6739730652482404,0.6237596045209104,0.7110238752128092,0.7159737404838329,0.6719941038333964,0.5356178878317153,0.7741459525900574,0.6902387870811801,0.7839567066335617,0.6243158533323385,0.9024283494844384,0.9529815485498991,0.8914528914306281,1.2244853375411933,0.5952889093149505,0.5569110630254567,0.49978846880504707,0.5843483392908787,0.6372876815354956,0.7390489802747369,0.6917190775023424,0.6187072891692589,0.6077360508303505,0.6757098151900853,0.6012695803021951,0.558456198972498,0.6628088696592604,0.7590157321763648,0.5977189263076171,0.6467539152371476,0.8231900586556655,1.0106732093353263,0.752683680463503,0.7351518831484629,0.6673112149545892,0.6103604316838787,0.5516409009464552,0.5420633206835829,0.6050491947308593,0.5574312674630587,0.5440044347096492,0.5728700702462558,0.6298693816720846,0.5541544261666886,0.6120664510400571,0.8374343257892523,0.7345516616356528,0.7723117429556673,0.7598018777241133,1.1109855321913509,0.9598617921293375,0.933168450458476,1.2247840451836398,1.3190554870746047,1.0713441940264588,0.9201270573003726,0.7776425354973907,0.636326615869672,0.9365272614182701,0.8612792296142583,0.9724654661291384,1.1361983147529686,0.7592610705321666,0.574774422393086,0.4443209440363625,0.42960136581297625,0.36296653069856827,0.41883492463542016,0.4230704987342183,0.8106654059485955,0.45972013064247663,0.39267677490723696,0.4734894322467564,0.8472100584084107,0.36624207586813823,0.6055841480707745,0.9338916998857222,1.7054143754640942,1.7370009453993371,2.2675523517576566],[0.411342656461674,0.37875859110551263,0.4788472386273187,0.4717421594192873,0.449288405389278,0.36470278009534796,0.2344453145425898,0.2858587677988284,0.3476794719029047,0.24051647285521802,0.25360923258711393,0.3835819271283074,0.24779827554089892,0.22404678924771382,0.2920194116554935,0.2539187887298895,0.31155046167428246,0.30261931328658714,0.38839628145468436,0.33991309371273637,0.37839222293042274,0.43136764278615036,0.5573806839190922,0.7188320629998415,0.5921579484431561,0.4675259204305407,0.4001218185890942,0.2704729594035555,0.30466482042132753,0.2721683757363503,0.3245873412944223,0.287269498422124,0.36932420544451416,0.34173478442378413,0.2898185865840449,0.29640579399201084,0.29120823124439793,0.3264055656432528,0.30881533449076737,0.35518782526828324,0.8120706439202424,0.53805564924,0.5553000657296971,0.7420871378550973,1.0935317259168669,1.8091981089842304,1.6434808732456125,1.1417359538451493,2.30590425274485,2.556142669424648,1.3026287284730853,1.6012592846725573,0.7930506113520137,0.7726670216651302,1.379122348986628,0.616450049186858,0.7445775555438112,0.6165367367404743,0.6323804796916199,1.146200731862911,0.6359315900058797,0.597105058943634,0.5092197844571053,0.6827311454831706,0.5373664396790391,0.43554609487068824,0.5872989813708376,0.41206157405210164,0.5996271685914164,0.5804298819208348,0.76819802224362,0.917876160109663,0.7008461745743216,0.7560914366455054,0.45645974777487996,0.9308120037372657,0.37108214827818903,0.3676123636637536,0.3478874101327529,0.37718972217742436,0.3736626934617685,0.396128154225369,0.8507232278448019,0.3545139341422842,0.42458411861955087,0.2685817558590893,0.3029827192236658,0.45917758692030464,0.3162687708382313,0.3951192960318628,0.37010842057846294,0.6246035504313683,0.4874038380899912,0.3457991680473888,0.32320401966992324,0.4595164508927693,0.5200578059121711,0.40546526459691523,0.3571572950849091,0.5319457402636386,0.32933349882582197,0.4294722478894129,0.29142294019942155,0.36481886011011394,0.35542210971952687,0.3775229173488143,0.47433905421535344,0.4016632477408007,0.4118480702978407,0.6041591801507274,0.33156998400645293,0.27530551469787884,0.21951282649494794,0.24739322001565756,0.2413428795382369,0.2827358588571428,0.3161779145123234,0.35772892365801734,0.45488577142822534,0.3424614414639121,0.35042384361919887,0.3010208319778304,0.2687771349225389,0.20385122304658082,0.22087858463592822,0.294886825261974,0.3199663643963848,0.32082196890514236,0.31115138484293725,0.3095170732622023,0.3210135407863198,0.33822584398341987,0.3499418602518509,0.3827601738179095,0.3599912947641824,0.41780285597620465,0.6588724290507002,0.36485919779950815,0.36142371252432975,0.3371177252927366,0.5413111601356436,0.5710697058621806,0.4560486111195962,0.32446342829831804,0.3298270458959077,0.31708170791882273,0.2574999764473792,0.2735619742149908,0.20663220307446914,0.29623070230800924,0.35760530740822777,0.48475928585935163,0.6886099528250883,1.3308219060159725,1.046296059304854,0.4293511301105733,0.28891060411254305,0.314170123030895,0.253263116471031,0.3204469773168556,0.26528531120747767,0.2564253962457299,0.2813216031957814,0.2664752249059113,0.376623716129108,0.4092720476408692,0.46480970539261657,0.6156479734514488,0.6270396715265448,0.5809004082905362,0.4350349784589103,0.3717812646045297,0.36164391086305464,0.30151647803628595,0.24376062007379967,0.31741446959175457,0.3131911682073555,0.49190815182388176,0.33026364402273223,0.30557626293897727,0.47262510861194634,0.2915662526287568,0.3534083372702366,0.36879760529715466,0.41032997968588036,0.563223290295312,0.6741353013587762,0.716527982493319,1.7914598191332607,0.874112153913589,1.0538391437647254,0.8379881898501518,0.7435132087543755,0.690886825116122,0.49259600994945146,0.4401696079704466,0.4478459973422474,0.37859585281849173,0.43096427711441354,0.5149726054982393,0.3897764469042531,0.3669631459347303,0.35700599446939346,0.4249208734671594,0.42064801882478653,0.4446463171425648,0.5282766430091437,0.5025168626908805,0.5242300955527867,0.5710332001965488,0.6398206718399693,0.6631562093155426,0.6956632677451628,0.8121232957780139,0.8659793838497304,0.8292685308498134,0.9198937384538097,0.7714645245102887,0.6605163372835884,0.6801861622380936,0.6662973366965093,1.5708921168130028,0.8504184880446481,1.479117966489032,0.6510597739379745,0.6016514779598674,0.6694869128688475,0.7289920917511504,0.610807198045293,0.4817414684237805,0.7467867846015663,0.6477347908960726,0.7141509182224123,0.5591504404378668,0.9020637873443333,0.812332505553301,0.8077106471406499,1.1634145105687532,0.5319682980139558,0.51191629133272,0.5049996491574269,0.6064207975146191,0.6571392089178949,0.7249236154287054,0.6943843788873527,0.6237098594457354,0.5722413487586459,0.6608429013150116,0.5708203699761043,0.5298747776955096,0.6203766319206315,0.7047800174904972,0.5495261033086526,0.58082379018918,0.7403283417400365,0.9225603974407541,0.6895804936837736,0.6663645766834522,0.6100871632947626,0.5515928014942069,0.5091670177112692,0.5128449705062221,0.5570568533926402,0.5297049443641499,0.5103368501033082,0.531822981387763,0.5974795964797159,0.504964363511109,0.5402532919244144,0.7569740536545163,0.6969976435721729,0.6924855696102679,0.6849412635150738,1.0183047956115066,0.8976633330211774,0.8907671866722313,1.1927970247648094,1.3376237976783556,1.0074669022537255,0.8959887800804115,0.7783278348951301,0.6781801090308424,0.9842628534687479,0.8133375431566513,0.8850832474251574,1.0551492896867234,0.7145053043393718,0.5516286211831902,0.40861127523805074,0.37600690964081807,0.32000492902159156,0.3716736598899475,0.3975083545689562,0.8807227281680604,0.4189413233532037,0.3914468078171845,0.478876076704643,0.8095305277000769,0.42107096471102506,0.6085154530506449,1.1260958606592624,1.9401827647353305,2.165523807257776,2.794322814313327],[0.4230760254030715,0.336166217505667,0.36662424669484445,0.4266729851138992,0.39868935363304875,0.34169373096013733,0.20474873022210457,0.2967269461660953,0.3552989828042873,0.26603912374418387,0.30700377875974344,0.4378203651695867,0.3052677651062555,0.29370969952516285,0.3427462480462779,0.3159038982381926,0.3588936540868888,0.35986752234472486,0.422572345053933,0.3881996701484977,0.4027694050740847,0.4552135776539127,0.5519276678972099,0.7105481247357462,0.6043130694435433,0.4863613282233746,0.42209436171389925,0.3267741610075236,0.3543953157412892,0.34100155416976596,0.37714617539089523,0.3535436046434473,0.40867889282036,0.39237735879492003,0.35233225152853836,0.34849837811618806,0.33825366217281955,0.36020104506393286,0.344400925056347,0.36969779361970107,0.807482546461893,0.5512666921998545,0.5535495099594682,0.7481070640922622,1.0408442293284963,1.8229385069691006,1.6204021071609491,1.1620013870296217,2.399604100308537,2.6610872006528004,1.3737623553314207,1.6472352850722776,0.8034405973841489,0.7567180423443806,1.4239406439137245,0.6415187387236698,0.7840102016408494,0.622882715558306,0.6944023307865973,1.1285948797343528,0.6383950068592846,0.621048300187522,0.5575197509105674,0.704977680378865,0.5379182139179202,0.46486934952065867,0.6144620593968037,0.4561921741644181,0.6495438337607168,0.6116052912148159,0.8097640596878143,0.9601942347561824,0.7511862615776786,0.7710748222927959,0.4785892148137431,0.9364223114879541,0.3972916447108439,0.4062416637013536,0.3683603384744599,0.4136442676536579,0.42288306843478396,0.42637782091718784,0.8828223785114475,0.41018607267626006,0.44394371555999323,0.3257699000583928,0.3643108726671768,0.505596479536833,0.3587608933737725,0.4694605005289865,0.39977413041483445,0.6460872481325587,0.48389055116723556,0.3906163546410252,0.3722097513333267,0.48150208818142065,0.5086399100998045,0.42979168590270367,0.39573321052189925,0.5728616173068818,0.39567466333015583,0.48189270857973254,0.34825915303493743,0.4139220084299629,0.4285240403633268,0.4012442216984163,0.5535154273801922,0.4153703310259278,0.45001197133686155,0.6465832803338093,0.37512789200769947,0.32586043005396825,0.2571835959578009,0.3292048663535232,0.31934626460841264,0.3422807987875437,0.3692175608534643,0.3685968239669685,0.4571919377145627,0.3991492019345278,0.3762198813746294,0.33804228157220306,0.299184419737561,0.27311724073567856,0.29415441822812627,0.3574431209157549,0.34068643236574914,0.36206896336177763,0.32846604448976546,0.34085406543842156,0.33448994418715405,0.3734508388729042,0.3783593550005794,0.4136485385239218,0.3969847455886716,0.45073133424215595,0.6815531906748824,0.40584733343898355,0.388783535565509,0.36515422863496794,0.5209868170282822,0.5368498189765485,0.4525976686985184,0.364839410370717,0.3988349797936773,0.3594808779181606,0.3255815701654784,0.33121718261134536,0.28009674735157064,0.34750685237763607,0.39481602563680596,0.4672395748116884,0.7339855594323031,1.330892000750421,1.003654432824558,0.4542680261146485,0.3248781475810224,0.3614477079872314,0.31571509429022415,0.40898323218380106,0.3217246810706016,0.3252347137341199,0.33758789921404114,0.3174305299175735,0.42528392768495643,0.4178806973858447,0.47342971560655017,0.6116309224053141,0.6488438269994654,0.6073732893415287,0.4596987568399468,0.4085934841200245,0.3820857861877603,0.3406925860833238,0.3137615189284782,0.37396761334781065,0.3726274299952646,0.5796261145795728,0.388048825527637,0.3865485518723084,0.4920399439110039,0.3301963360499794,0.36986403735076967,0.38409151581425166,0.42311105881832245,0.561886546320753,0.6723163152618188,0.7147447382944945,1.724157510673785,0.8602569308021114,1.0010071456941425,0.7773118526256908,0.7218321783599265,0.6824720314712438,0.4940130151017584,0.42789493506526954,0.4325006426092748,0.3593029291072127,0.3879626513065868,0.47612427648565603,0.35881058717842174,0.36060452531995024,0.3408256457974496,0.384990035293285,0.39831330978314267,0.42644050672776096,0.4998555588815118,0.46797026239169526,0.5156547319591496,0.5300997570814189,0.593659482905025,0.6281688392968201,0.6648795921606939,0.7513100454678087,0.8061418555555553,0.762668947998287,0.8787938147122453,0.7354497928286363,0.6361563106299603,0.6547943932844421,0.6556254132647965,1.6395285825920543,0.8496372943838076,1.4953313411141926,0.6344921226654964,0.5987664446163176,0.6945574211317118,0.7199836229573048,0.5987049470216042,0.4489729493848661,0.7795582598038648,0.6143702128644947,0.7230800152999217,0.5485959002625909,0.8180691677258354,0.741398537958508,0.7595619829652328,1.0969137487659426,0.4924823968450947,0.4749110579520276,0.49928014716901503,0.6129996395137582,0.676598219075443,0.7910546859200659,0.7226812068735968,0.6581780084485203,0.6025047627088708,0.7158594352140221,0.6190305268894191,0.554353363733859,0.6655594119293912,0.7525413997177929,0.5702286158216493,0.6124933415877261,0.7890489129172338,0.9341478531513244,0.6889762343329734,0.6755349855917748,0.6158425418014325,0.5653212987035883,0.5242530967097696,0.5150391348723683,0.5554172015058567,0.5220354164065432,0.5042575256306737,0.5170055127678638,0.5821722786745638,0.4697039826479878,0.4928120555889677,0.7402124692380256,0.6712891012572262,0.6341801603667914,0.6322631872124418,0.9594136724336543,0.85145791009479,0.8581511709269216,1.0647989828993911,1.2813138902765941,1.020019016613679,0.8768887845089282,0.7399927318708611,0.6172980270361547,0.9592921816286026,0.827370791484538,0.8861859131484343,1.0478818976822877,0.6651755271496607,0.5245023419629801,0.38982421715124765,0.3916136579533966,0.3244762950956473,0.4081427783459911,0.43332535383638915,0.8811445378383838,0.4389141855962216,0.37934593362632635,0.48072240303286273,0.8083286873629697,0.3820935563611029,0.5705078260589024,1.0749505476996408,1.8382930386891332,1.8927791848540079,2.3987143909460356],[0.5243024305826963,0.4619691855307611,0.4710990900998404,0.46168159260653363,0.4195948222711511,0.3651477677868404,0.19278025548053374,0.30333104096000424,0.3930430448222097,0.3819654670453114,0.4483573156895852,0.5332102522566032,0.41760701984749815,0.413791986131111,0.4901349222194722,0.4610581351613934,0.4251773320264681,0.45860128725876265,0.4625269485299524,0.46722461016356165,0.47159020392702433,0.5075941521805051,0.589661211948148,0.7248417592853996,0.6101713826496189,0.5072804595570447,0.46284155415498635,0.41685209514641414,0.4327885955445952,0.45001008299825984,0.5116495446079288,0.479065560243801,0.5255291226487393,0.5017920757257324,0.4791945719663275,0.4563886185725969,0.44955674226686754,0.4256418751926702,0.38944330897944895,0.3878183593489291,0.8002884066363495,0.5677260220945383,0.5622209899281447,0.7421491091100835,0.927247260509575,1.6705010047287054,1.4123482425367349,1.1098995007561758,2.3963324521208373,2.4870545425720985,1.3107567071646828,1.5806678010261646,0.8029680676963733,0.7580235947745848,1.4778108699338042,0.6660325034674861,0.8128860191637466,0.6552972244711733,0.7584279539686766,1.0857688477072673,0.661685170742643,0.689142966708165,0.6363420402423668,0.7652572561774729,0.5699012075098777,0.5526065310471635,0.6715959795907711,0.5305595631728498,0.6825607452996574,0.6588520561705908,0.8629829624795774,1.0317007156108162,0.8650997573334439,0.8411728221420038,0.5810927620665615,1.008356732903777,0.4880303041878156,0.5296628016429075,0.45244787310774837,0.4955731545991639,0.4930427741038664,0.4881209334318059,0.9728883312587455,0.5199239210453002,0.4878604447931631,0.4041793121499668,0.4355547536485761,0.5886600187466826,0.47908823211514695,0.580059193271016,0.4981002154302261,0.7535143210150077,0.5896609573435949,0.538034628780171,0.5220617804243486,0.6142938679483744,0.6221443336788796,0.5447300936978324,0.5245044388435471,0.6732549316215659,0.49836216583527654,0.5333772770011442,0.4241894673263719,0.4432867148091153,0.4498821316556913,0.3950917408657934,0.5740160130527555,0.36659033886150383,0.4047084009830282,0.6315878399262255,0.33064943100721905,0.29864367484220566,0.27625070894844145,0.33897366324400663,0.384849696197722,0.3832002371697041,0.4422554410091083,0.3927897905220383,0.4703616344822585,0.490382251124706,0.43633060573911225,0.39864296876194366,0.3227966030223549,0.31412744076265736,0.29666097169409905,0.325642982629006,0.3497342287903529,0.3292110533234601,0.2961038907824312,0.3295645015177647,0.3032841688080095,0.3517904842769992,0.3304960752101427,0.43654768702268754,0.3784769583437742,0.42148356023616856,0.6396063928146797,0.36407669787005986,0.3887259476746256,0.36468432535679773,0.5149591531769435,0.5281318590151618,0.4748448597884433,0.38651562488864655,0.4180294052875211,0.4059637453590462,0.3719389953474405,0.37601008446454814,0.32984635079786917,0.38241689348598124,0.40584816434822846,0.5031499666444343,0.7692608811522061,1.4812421218921237,1.0505407346519202,0.5218001923956331,0.4244236593501411,0.41906063547586214,0.3979918737804901,0.4357445398600475,0.3491507953763645,0.36115135436280166,0.35396643854472204,0.349810739213923,0.45805418597480824,0.39222084876641666,0.41956929253846653,0.5449190509083799,0.582261552299126,0.5549956684768672,0.4157893605420543,0.3876315327784403,0.3964027477755901,0.3542530142427949,0.34160391958973474,0.41127558842289713,0.4314937855396324,0.6525941520156286,0.4402814016842218,0.43794950261897797,0.45586461621712765,0.3404305831104037,0.3657402859932435,0.36975636493046077,0.4137683348453572,0.5331003859781055,0.6328509502972081,0.6411924025865613,1.66062411534218,0.842121317576028,1.0015714566648923,0.7705538961916323,0.6796641397253065,0.6235818657847427,0.4499712550252861,0.38006118026947383,0.3918611571501169,0.32483431885485914,0.3672111211565074,0.4550147337176843,0.35722169533554987,0.3768579197274735,0.33442403063894266,0.39989218846691843,0.4273603869377489,0.4534197087560702,0.5560085743832198,0.5093309570857575,0.5585155846557883,0.5589632230311673,0.6215470060992365,0.6451388318724249,0.6657384515259216,0.7635593322106498,0.789702323938566,0.750447291926026,0.8591145998011719,0.741604281462237,0.6489682672924837,0.6441886753745931,0.6267441053806678,1.807377905033323,0.833779821354212,1.5720952601314666,0.6599058161930065,0.6549356187263787,0.7202651249055351,0.7921834063904727,0.5999512004000058,0.46345957930850085,0.8022060899200403,0.5964077087582638,0.6738297858574133,0.5070288679968606,0.8183342882976478,0.634721576350387,0.7064571928040366,1.044718866985275,0.45480276300983813,0.4505760139061198,0.5199310406822316,0.658559955693101,0.7380781547927922,0.8220075458803514,0.7613282837224744,0.7013652837034597,0.6382628596210976,0.7790702383400918,0.654793820511013,0.5815079297572316,0.6966999598452931,0.7615125675475873,0.5897045316758365,0.6219343270150788,0.7875675029153895,0.8716179218548725,0.6896927988572118,0.686997887115123,0.6331874343871225,0.5980037931647086,0.5687301486792453,0.5507788044929666,0.5888526757077786,0.5436708404955223,0.522531083917659,0.5166752646382188,0.5753712694387847,0.4740294759562542,0.49201474639871734,0.68151051451922,0.6574812308942114,0.604197853378679,0.6096359798409945,0.9163266704417595,0.8271056548327006,0.8255197955252684,0.9962564654597534,1.2500361846853096,1.0121750455402587,0.8799406492793428,0.7564692551126725,0.6774309692487052,0.9839143658746492,0.8080783802780561,0.8507894517938538,0.9913119310744811,0.6394471829525288,0.5121101907007997,0.3840205902693589,0.3719218590695266,0.3779620052584401,0.3584783400781469,0.4350723671000045,0.9772378539833012,0.36948646831647125,0.43217417886284093,0.5597598899958236,0.6903729280787158,0.5387168776882713,0.6981002904979343,1.4086523898673533,2.073786340602191,2.314859850959617,2.8789801001425435],[0.5042332148389408,0.3801251417972124,0.5076772833771881,0.34364932816454125,0.43570565498788777,0.45228371670427925,0.28838403261380724,0.3972188294974528,0.27987084958247754,0.2657124701094428,0.34058136204790007,0.4565796171501073,0.3154742763873129,0.2926599754082659,0.3826242040972,0.33979584135513236,0.35723403937348924,0.3758495275229139,0.3838104255564258,0.4036245599122124,0.39768593684767195,0.40716543307024794,0.546474838517361,0.6236417622475406,0.5678944292542056,0.43742090019853463,0.3874476679777537,0.3405062728325132,0.36970484800768844,0.39720425827258204,0.4024378468816429,0.4228753698593082,0.47212223748931964,0.4410793671207925,0.4215771086337373,0.3913583414825978,0.43263533935889587,0.38750019249102036,0.36348181006620145,0.37437426571365917,0.7221031785000899,0.5307236850675873,0.4979038021308707,0.6791791981107241,0.9723443430569245,1.830126523996999,1.5464913873140878,1.1532323604171524,2.455211987857043,2.578080748483096,1.3203158532588841,1.6421510876414183,0.8758216398512624,0.7611099106561392,1.5009630015947049,0.6413922762554363,0.8042940966198094,0.5509646994581614,0.7097184218465601,1.0195821482279843,0.5614562791397003,0.6783921115564672,0.6327736080236055,0.6854707093327863,0.4750328305372089,0.46549200263379975,0.6405643247556422,0.48460986665230793,0.6069689974275883,0.5887918577817677,0.8193861279724545,0.997519181141495,0.812615039373507,0.7268259804302024,0.503598295235977,0.9145227864870599,0.40728589861461145,0.45004774677041626,0.4181666223238252,0.447321613051568,0.4684345045719653,0.492348158793119,0.9417015046436299,0.5278246424471232,0.4357949997645326,0.41306262778354313,0.3937077183151248,0.5682587600073638,0.4176295292605623,0.5230771013102741,0.4037611857162518,0.6040800241389503,0.47422830579305625,0.42477140337109487,0.4043036461102265,0.5161595036141102,0.5049075980288075,0.4556341675951296,0.4422821809089858,0.6559400243513727,0.48653633042478217,0.5521954051403014,0.4495008818137223,0.5093866358310323,0.5213945404342405,0.5074721952225456,0.7562046206146459,0.4368755104973003,0.46257802015101246,0.7161435709514716,0.4595583750964856,0.400898410484718,0.3178410322231533,0.3524902213106709,0.35523417233945676,0.3420605804409457,0.3863663591498394,0.3340580745303627,0.40039094405532205,0.42322652145494194,0.3718179920504852,0.3283480917747117,0.28629139663594066,0.28746169199974564,0.2973171330067925,0.3520710848218277,0.41890421193620225,0.40694747514916896,0.4023451159872318,0.4378199342591252,0.4136852730440559,0.5073465065129305,0.41767303960743857,0.5642029201804365,0.40485777358918384,0.4310539578871026,0.6004637957956553,0.37651827741897187,0.39102214569666655,0.3437973451632884,0.47127322805466765,0.4705714851207258,0.40236317514660225,0.33603735543022095,0.4068651280258501,0.3877467138678048,0.33433194442902814,0.3628418958563188,0.3398108272625602,0.36101158901019637,0.48523255154674677,0.5323406164369286,0.8818033806939901,1.4481039208340947,1.0302311007828493,0.5434266990580415,0.40818410411626505,0.4680248972360863,0.38089762425232265,0.4754228325725252,0.38047181843109606,0.38316444929719173,0.35335770964179863,0.33759091370844446,0.4548139150287945,0.3748154156481447,0.425685037684479,0.5147847926488583,0.559744638316693,0.538971207005707,0.41183524872970495,0.3872943493764503,0.41157117611193256,0.3983883535976796,0.37836296958054255,0.4522537031356849,0.4067800385426902,0.6858402056875395,0.42681480309184444,0.5041688482035589,0.5080065532241895,0.42084363259314195,0.43854461975130155,0.43013424980627846,0.433399880852717,0.5855188807424038,0.6286061497423834,0.7174996515199659,1.5532297941274407,0.7708395823736655,1.1586248203353615,0.5788654849581333,0.6452362276724305,0.6141428515826928,0.492400463168993,0.45387109402633435,0.4577850897952318,0.4412968750308047,0.47382345355246913,0.544939743669979,0.46233743878013284,0.49402978138623677,0.44084449635385375,0.4826164842196533,0.513761047939736,0.5265645963450726,0.5936829996693443,0.5505162365158065,0.6114900181941743,0.5772482577667617,0.6232384382329306,0.6435908941353282,0.6546654562984815,0.7390283795230119,0.7497376221690532,0.7363763332009701,0.8229730721002358,0.7411649869541752,0.6627091040645775,0.653197301303256,0.6675481657595377,1.900039319591932,0.8723745676417263,1.63151816404066,0.7422234316704597,0.7547394320342674,0.8363677791162072,0.9104704096398732,0.6836015978048954,0.5564882947483227,0.9247002069610666,0.6706349157049586,0.7171926630099648,0.6064980297179002,0.8733904351767189,0.6617340162468386,0.7399336579953536,0.9994026846676928,0.5491164091299469,0.5625172381906572,0.6577617428052844,0.7810625352563701,0.851045667953372,0.9339213308066707,0.8572934153920946,0.8499468347502404,0.7545357821723653,0.9054941553226493,0.7873152536489854,0.6848122408968805,0.7873681870725803,0.8478473288260829,0.6585464700648442,0.6782597560383459,0.8300915652659046,0.8899439660650537,0.6953722503743466,0.7027963573607473,0.6637815375874232,0.6570082266870332,0.6477397642698165,0.6305817817811601,0.6516194790214908,0.5917878432041944,0.5841343060612754,0.5679549518786187,0.6090308869111157,0.525594469443414,0.5430398225369611,0.7076574965716388,0.6826556861197536,0.6181383145285729,0.6106023009260075,0.8929416645188011,0.819687116914293,0.8404285525432613,0.9578579072624218,1.234531604572844,1.0428681870039893,0.8961485972492746,0.764934357028864,0.7029332400252402,1.0168160974442177,0.8656353083362412,0.8905474116370498,1.026468775621962,0.6847474221610445,0.5840303276152878,0.4933030231363905,0.45642757271031154,0.4820816370241327,0.4553151069334391,0.5291904268037114,1.0185728505380782,0.44839595764296425,0.5143963239290958,0.6023137941253119,0.6784236469591312,0.5910770306402343,0.7264599699053923,1.3716028461318457,2.0356482008497507,2.051438435351664,2.5211107720163115],[0.5045566112583444,0.35179881939555924,0.5207395875290177,0.40441008970592734,0.46065072036708776,0.43025499296675346,0.326746252094864,0.45794827685045475,0.31174802762726256,0.32013015621563906,0.3670874643193857,0.470334544645046,0.3523202524441859,0.32887832603203654,0.4316586052083139,0.38271557069259216,0.3837261287737012,0.4092370602287538,0.42255410341138494,0.4344907981847248,0.4384828603065204,0.44206528227018227,0.5628228651873733,0.6629711391159298,0.6063320162394742,0.47286869274145776,0.43504893095650504,0.39676091577242967,0.39807020654562764,0.43249796833152165,0.45051439839474433,0.4523466235915921,0.5249618155726586,0.4830840620555459,0.45425593802979736,0.42945771324551996,0.46969064962950763,0.42495886959073975,0.4037763217931011,0.41086733582765084,0.7535422235883757,0.5544494846583925,0.5170768416725706,0.6832252916581015,0.9017697697106637,1.7132471903874262,1.3909305743265732,1.0955843133573895,2.4353989565458676,2.459844124289292,1.2614851680102814,1.645516995370299,0.8917101164737533,0.7958802580022016,1.5282575803837508,0.6657374573563266,0.8185566405492296,0.5675952570624734,0.7327854813174363,1.0042674424852236,0.5808275741900918,0.7238469677959991,0.6959996856218172,0.7566528925433921,0.502941559480771,0.5213619545897916,0.6708002028694025,0.5104514388109974,0.6373192646020436,0.6130897382091579,0.8424149724501494,1.0869123264766511,0.8705812257582094,0.7845580399225922,0.5508114543456238,0.9749540182727512,0.4376576351912912,0.49529562646440856,0.4439361588648822,0.4695142792255209,0.49660464024747597,0.5219263753604239,1.0200180615363992,0.6366777468980054,0.4812843216522959,0.4415819093947554,0.416562128069043,0.6065320547824351,0.456413021332237,0.5486618997973896,0.4363810857811438,0.6419872575940788,0.4957677845421437,0.4744366952630681,0.4499890230665036,0.5693104810794379,0.5439062546167481,0.4803636229249434,0.48903079535182115,0.750700014146612,0.5297226983015366,0.5446780844740537,0.486469471714369,0.511885402844072,0.526811877446446,0.4982623139086389,0.7567179361940688,0.4440642358687995,0.49436747967029654,0.7007991908487975,0.44305406034828454,0.39610177174818384,0.36144474514597513,0.4184823388038174,0.4514566655233844,0.4231551437237669,0.4765370193845612,0.44145866919529164,0.4454969111180378,0.4862029640038349,0.429470896680315,0.38550953652889486,0.39195321087573753,0.39524673215996925,0.3931286565800144,0.4213674018769272,0.4135471553517261,0.44079786643246677,0.4094309245636911,0.4234460351307689,0.4072819363697148,0.4765480570229208,0.43299165247306703,0.5655438889358964,0.47570626050190545,0.5053339396814304,0.6543370724610921,0.45682395469778864,0.4832911395421183,0.4472438284556967,0.5678591104332646,0.5586931637649752,0.4912306630928838,0.428381899357821,0.4483546557616764,0.4398355225223979,0.39931467205620536,0.40679288094228694,0.3882218548569475,0.3978318198909531,0.4822052174481807,0.5374103124277573,0.9447549218889467,1.6109170532478596,1.0533882517555306,0.6042796337492297,0.45217006751436645,0.46806231416260385,0.41335391710149,0.4971945307864489,0.4243539383300377,0.43323944345385595,0.429106590391147,0.412747216027812,0.5474179584785324,0.4736999226785638,0.4924721296143991,0.5883793790132651,0.6391505941924741,0.613829050153359,0.48994102088153996,0.4806383762346963,0.4841879803794324,0.4405489233391711,0.4060107384045147,0.4729796256273135,0.437411203012046,0.7160718551949722,0.4715248005797187,0.5407481222938731,0.492037735352055,0.435608285769735,0.45973140018391195,0.46405481849348257,0.4724606130284575,0.5779885282922529,0.6033844431200653,0.6481588280613979,1.5672808908847728,0.8265422255890379,1.1452597173547805,0.6868185117083685,0.7100673831451472,0.6657430967111406,0.5204052456250241,0.4469382224316123,0.4549323230014546,0.40444705799586833,0.42983799197417133,0.4821718499988124,0.4194369199574423,0.44729063862785623,0.39366323882017845,0.4402706593231518,0.4600268643861819,0.4655412609467725,0.5733848489703981,0.513300094746256,0.5741432612188866,0.5328449821454843,0.5975925081962284,0.6213364942994739,0.6165500024599867,0.7441430165972428,0.7472445160395313,0.7456588835713464,0.789783659883159,0.7547448162653688,0.6527364159680572,0.6477505300464276,0.6860742463443524,2.0264593762069447,0.8614768016581316,1.583781395003488,0.7139048170945252,0.7617866941054868,0.8221519671381305,0.8974752115568742,0.6753486545991734,0.5223518217702992,0.8859175959656757,0.6235331304507833,0.6984257914192412,0.5690547459492982,0.8666891823418459,0.6448426420628065,0.7625745311631041,0.99277887680903,0.5302092749138819,0.5100257142089514,0.5968025773060662,0.7213951734386437,0.8162324392770082,0.961926706905485,0.8689486987059075,0.8226743790934326,0.7557233895799332,0.9327058687148951,0.7895755873366037,0.6639096150468767,0.7978914691133838,0.8525993201250478,0.6353322378295179,0.6878346541899522,0.874550038973162,0.8612508136607636,0.6904097097068856,0.7158537835248037,0.6593570415838638,0.655081340422925,0.6445188207554461,0.6285082890362031,0.6472782260996058,0.5806159546326142,0.5702866012301032,0.5653270581760131,0.6062002073357096,0.5115115068720196,0.5333817904375039,0.705432241355346,0.6780718724262293,0.6020237169056005,0.610364063643007,0.8809219282779327,0.8114709472175434,0.86159304946411,0.9553626710342581,1.235154866374238,1.1159375900985784,0.934745677393495,0.7796773900427789,0.7188318135701711,1.0643095661659943,0.914193466435828,0.9326749524822429,1.038186868878081,0.6772603886714315,0.5731900066851121,0.4570913712231547,0.42943078019608405,0.4234559639139124,0.45742523469119006,0.5455118904728916,1.0446317974918942,0.43817570752163804,0.47640811100351915,0.6029364585852149,0.6360309604902017,0.49541988245884816,0.6863588755692326,1.3580036438100647,1.847651641451558,2.000040167186435,2.4672988707054464],[0.4343695138959344,0.3011891501223618,0.5829652782792444,0.2793510405516696,0.41036783966553,0.379701127299713,0.2705319855305295,0.44959944891146486,0.2695049279935819,0.270582861465288,0.3505891197618582,0.508238089053488,0.3493630394806687,0.29142081524589014,0.42121455725656554,0.40088186182780783,0.3537430398813627,0.3838404986107029,0.37473337175525817,0.41306568637925845,0.39025006787964345,0.4089720248519723,0.5400639563254085,0.5928259447795458,0.5720317952788545,0.4013102362869347,0.3840990441784543,0.3628622668606206,0.3805996824659585,0.4244654880330251,0.46164230221639135,0.4876126510825689,0.5629470686001423,0.5265764950328304,0.5008606938655015,0.41885142055417524,0.47064385397045666,0.39753995968397354,0.3693676763663011,0.383162124127814,0.7169401689146766,0.4962279118024279,0.4686841023464037,0.6718989452453021,0.862106571091607,1.7602175361257983,1.4381082820560764,1.1492077473949918,2.508846391379022,2.6025232890837664,1.3581687843001662,1.6782780939903965,0.8865834913119148,0.743849419632945,1.5293588033224013,0.7017465123888501,0.8167036151486462,0.5654417624232132,0.7794215374562731,0.9742842681751046,0.550805809184477,0.731317196658801,0.7075038992614076,0.7283840881642163,0.4664535405085056,0.48990115571022447,0.6636161125518376,0.5000672955258241,0.5995389993146961,0.6008017710562882,0.8292221501648555,1.055900774287962,0.86446706916217,0.7513678615376951,0.5459244717860532,0.8864123271117349,0.4489927569507054,0.5271893588617211,0.4666916380935295,0.46096620338814465,0.5089034968405945,0.5265964343849149,0.9805214346055368,0.6839230149316333,0.4633730602706566,0.43819142322973337,0.424854118499447,0.6303244495414373,0.4603853566332747,0.601088827373581,0.4479013447623083,0.6124502705112614,0.5110086756949482,0.5132752583304977,0.47455820689298417,0.5947500263170313,0.5587996368064807,0.5284855169216574,0.5449199945524105,0.7739209021763405,0.5711602682072247,0.6203177352320476,0.534327417915597,0.565206602220147,0.5724025343552268,0.5282602304402214,0.8163230709551214,0.49222151641217554,0.5316250118907997,0.7087840288368163,0.4671501668740323,0.384635897282195,0.3278019356321103,0.3583489272875617,0.37344346552096813,0.34452742331756364,0.41572384406852353,0.3325252192734074,0.38032249876306923,0.43472052333688815,0.38119655941931685,0.3209486875968642,0.29576151115507127,0.2964321850841294,0.30307875883716223,0.3609189465083509,0.380798230365116,0.4054474734173966,0.40138368963386467,0.425822136132337,0.39792900429045863,0.4934934963984005,0.4225745156825204,0.5760532347806879,0.4492052813144849,0.45419898725286145,0.6457000732308822,0.38446384156235835,0.4098691615794994,0.352602300484767,0.4567209800836936,0.4336551040100656,0.39288765617002247,0.3457079633346012,0.435684935392117,0.38984231219975696,0.34316196295634077,0.38217953440891467,0.3514536470758286,0.3751229236938658,0.4916484384733474,0.528506036856315,0.97029127476275,1.3954949581008624,0.9318637799385138,0.6402743900591719,0.5023897971913835,0.5162464848595892,0.4434276579530997,0.504340448866531,0.39082848831916345,0.4010944328559848,0.3644589613151818,0.3605890494065423,0.5171229544336468,0.383781185792854,0.43948830069038186,0.5213651503986957,0.5912479263787187,0.561757266444213,0.43366828765971727,0.39641023652457297,0.4310136706070273,0.4284090223813321,0.40811851796388854,0.48602338809376977,0.43096260884266746,0.7485906780725987,0.48961672662447414,0.5714649826193382,0.4920237909808696,0.44830686111822216,0.46912472018516377,0.45880776521796335,0.46547339461855936,0.5781123997242964,0.6099927691515381,0.7096221220789453,1.4906621174281733,0.7920419454444941,1.0953072724807025,0.5838100622450024,0.6281963771240661,0.5957733391321832,0.47749992064906627,0.4466066966309494,0.44194089204620457,0.40158275092375745,0.4068151079917404,0.4657372582719958,0.4308549023380518,0.47289514133610383,0.40385774682166237,0.4219499926617159,0.4709017170778201,0.45867911374436293,0.5401081731971593,0.49939488286587774,0.5734536145740106,0.5218408736548394,0.5956725792417908,0.6222146090942146,0.6130410365408494,0.78317790877971,0.7654779957862587,0.7510475681734065,0.7734422712484669,0.7483791593340262,0.6379329119367578,0.6532188427459904,0.7104493554474574,2.1263003707075065,0.891621529970026,1.5952183946529763,0.7392020469249752,0.825732770566914,0.875143799337849,0.9311194280850544,0.7253942522825683,0.5594823279252819,0.8957632005563736,0.6286428426301259,0.7252248676223684,0.5686961705432799,0.8363407130898558,0.6183867241190782,0.7538793919466885,0.9461111286651239,0.5218705653713099,0.5421232060080085,0.6238575820737499,0.7404523880739693,0.8441002364611342,1.012936000629933,0.9144918863567062,0.8620678010233304,0.8079076863799152,0.9831636560382044,0.8477141516906617,0.696238397579637,0.8447711625990942,0.9006084912548046,0.6579794066456983,0.727790551619267,0.9137043300595986,0.859086902782978,0.7046837215169274,0.7390512863684089,0.6784606727869734,0.6891594250118128,0.6827866359910808,0.6668571373389435,0.670167692322407,0.5890923589409623,0.5925832135374054,0.5854433242961478,0.6081007391173248,0.5100734993651227,0.5449433813233932,0.6753803224038255,0.6368063028169827,0.5799627238069875,0.5999815535269676,0.8770046715302098,0.7775528947064003,0.8255762055930279,0.9030629831018033,1.1511669426285025,1.105124173666115,0.9172173432642602,0.743390841274402,0.743334324720728,1.0710000619268398,0.9053465178408882,0.8995716508178248,0.9803473729441279,0.6579468620780355,0.5232948273456939,0.43820284038695007,0.41448027186612063,0.42316424840283406,0.4638988028359265,0.5660023270936189,1.0311411080078172,0.432280617825787,0.46999542498938207,0.5960450678454985,0.6673263409592411,0.4660547056549892,0.7148410196378254,1.2218334475968404,1.5660915145272458,1.8007123264922085,2.0031970854596586],[0.5669971370095827,0.46717959360401806,0.6655104472751061,0.39042471392353656,0.5004355088473966,0.4701797560277105,0.3867651697157286,0.5372738981449797,0.3610848167125159,0.35526214429294034,0.43581272961188094,0.5506468936198123,0.4533686056419894,0.377338325207207,0.5325632054259171,0.5057504011059466,0.44273982955550234,0.49205120835067695,0.4799294385271912,0.5006518786765151,0.4968007084343608,0.509639696640374,0.5989941192411299,0.6780517945274941,0.5684838294320846,0.45276394059318903,0.47419000094587593,0.43794267759750677,0.471256796779866,0.534584395829838,0.583610808896464,0.6192355964707802,0.6759802628990355,0.6592650959919808,0.6271991611636444,0.5454246240708923,0.5985365997782679,0.5213452839859862,0.4818425543510125,0.5131443561746004,0.6976291037093763,0.5734306424877891,0.5375190959860732,0.6832558139157326,0.8352684919680673,1.6212088756938337,1.270011986336035,1.090930008983975,2.420042036736235,2.3378953860162,1.2482032846016204,1.6024440385514416,0.9879359211372932,0.8153947324665403,1.5979885310192528,0.764814290467198,0.8877970578639858,0.6353581882560224,0.8485081610745178,0.9791216923212108,0.6335365335203726,0.8553673893362235,0.8610895014441393,0.8473985816809606,0.5704609956995419,0.5930308036393251,0.7838336274543225,0.627454700648189,0.6719840919841951,0.6870438514792099,0.8932754306397241,1.2094574517680596,0.9708007984332497,0.8642440871346968,0.6701146988458874,1.0233449258035876,0.5676225306412221,0.6712104196271116,0.6084210703125619,0.6018865526186812,0.6278990649421328,0.662158079333447,1.081596592697343,0.8545203866259752,0.5910281449350429,0.5614007900151868,0.5402256801711016,0.7612739986134517,0.5870920366830683,0.6943539028211236,0.5819523541173357,0.7327476860947405,0.6793488143723276,0.6673103698971238,0.6136535612880827,0.7335977536506927,0.6913191017147845,0.6350469919952307,0.6423627526963477,0.899859042727705,0.6871527620567376,0.7591990022989584,0.6731327566585175,0.7146643263382121,0.6980878413417858,0.670090933697253,0.9690250003146158,0.6339823716723777,0.6479063288719682,0.7936245904100829,0.5764262494830492,0.5044748960045011,0.4416086537389449,0.43989217560024657,0.46557298312377593,0.39738423803466555,0.45692918179399267,0.40154541006475236,0.4555691273862874,0.5246390753330055,0.4611641556011736,0.3848171092499035,0.3487954357072139,0.3515525002964541,0.35996631503024223,0.42583342298513444,0.4856876964854442,0.5225264047802404,0.5219435160293533,0.5569110336845481,0.5335271784505125,0.6383631811523675,0.5476033313776814,0.7138493440273412,0.5334462208668767,0.5062768257840223,0.6690231428699807,0.4499263130406837,0.46664182327760517,0.4345344787727965,0.5256963508934213,0.49196212614450435,0.46072175645794466,0.41378978252114046,0.46369987874763535,0.46605298329384814,0.4338480977805913,0.4887052541715565,0.4829430522141178,0.47091635747771493,0.6102509123602833,0.638823268745442,1.1408917803188867,1.5932394770375515,0.9925182745476979,0.7772292727414636,0.6232447206522069,0.665334094532628,0.5734175747443385,0.6265259603410558,0.5153601637589522,0.535637266488379,0.4710265246453035,0.48741636308748604,0.6111701051960508,0.44133854304853953,0.4857631154582809,0.5445387999626546,0.6029603807443673,0.5817632635862526,0.489360335936366,0.46829424953028714,0.522388219214048,0.5370140141296132,0.5456905138620837,0.6268127515190642,0.5751210755357684,0.8803789492000001,0.6295320195219658,0.717936756480759,0.5900950300592664,0.5777461727099225,0.5875088551995278,0.5717986103533,0.5480395381747298,0.6485225742817396,0.6372994402756859,0.7085034356678758,1.4596984049833868,0.8329117874140788,1.1663325752786362,0.6274194615004434,0.6750080527093457,0.6595274882577017,0.5891033266101349,0.5876245679243136,0.559944074833944,0.5511969585122766,0.5466003003081028,0.5959817640299275,0.594268234587832,0.6482542654516499,0.5614925878897332,0.5603823520656166,0.6323357573966288,0.6054643296150285,0.6445559189476479,0.633978685129908,0.7033557947794467,0.6470154619506557,0.7158337774069887,0.73864713823562,0.723466962272268,0.9079551283058301,0.881298521807253,0.8521675260673874,0.8484842940096208,0.8398996474222774,0.7379491908439891,0.7490260155317491,0.8149144812074061,2.33122368125044,1.0000736246487476,1.6361224224166502,0.871019034056114,1.006255404053157,1.0415425331765626,1.121138194481697,0.8778610955953613,0.7264455037821126,1.0753848755040882,0.7981021503955827,0.7937287457260217,0.6978046736221231,0.999040802672917,0.6737209107231521,0.8226430138847666,0.9777979107442157,0.6192276232163894,0.685426185489974,0.8119183565593616,0.9161840776912743,1.0278001364049387,1.1628427686892837,1.093631344693839,1.0341469205590597,1.0002441548081655,1.179680884498218,1.0231010058678265,0.8443168058561917,0.9901296743739105,1.011577328025417,0.7949191754360312,0.8694028642520435,1.0403300581826354,0.9009305285757787,0.8166413135427328,0.872696879624652,0.8003333993300482,0.8337500256742488,0.8259085793741514,0.8181828604525309,0.8039282395880705,0.7151673548589393,0.737354317140751,0.706498727089751,0.7188718235698869,0.6333057928077693,0.6628962750129278,0.7683824437931891,0.7223281907213444,0.6607496360097167,0.7309711590600652,0.9475232781624462,0.8517081982116236,0.8940975179943936,0.965046365304437,1.2054170372237063,1.1797295754885564,1.0101212807712234,0.8230640998673626,0.8379478100630409,1.1456725641362344,0.9618600219965214,0.9570027380452898,1.024720396355058,0.7298124161614448,0.6106024132497285,0.5613416226504017,0.5206447825481526,0.5548970267169356,0.6007161987274597,0.7131519188355826,1.1352363559327066,0.5676722477079079,0.6119990899681695,0.7431836233062838,0.7218108526632231,0.561302377228835,0.8902165402937344,1.293882045771709,1.4404636849393981,2.2597206095142135,2.822010525022183],[0.49041857830277813,0.3535937171738975,0.5428873366890679,0.3700862392303573,0.4198576098992387,0.3795044346308527,0.29424851164883686,0.4420819589816402,0.33437100656800856,0.37109178024188505,0.45171983715643066,0.5074069398282006,0.43757453485128645,0.3992316638210561,0.5153449031428221,0.4918281361072037,0.4482574035459087,0.49808548831632316,0.5070129170486029,0.5014195269254117,0.5106743638663842,0.5115820610038004,0.608619904422962,0.7369796868356946,0.575916781569355,0.5044951634322117,0.48963581499717995,0.45250956039631685,0.4700112004738873,0.513692077254727,0.561198443600692,0.5842763309886998,0.6506731782288792,0.6092529103730484,0.5742827523057622,0.5200716275397839,0.5484373221591891,0.48392000441336624,0.45716798187489854,0.47543984485394175,0.7227026302496523,0.5743812296615407,0.5329256281581746,0.6700918617043438,0.842293014868455,1.5334419058339301,1.1898184555941635,1.0616571225443245,2.351764455659429,2.199426964135295,1.192126029428406,1.5145979480033989,0.9358602516710995,0.8326899346484126,1.5903191619959116,0.7272242291949412,0.8526658269991911,0.6240524004325597,0.7936811471935957,0.9822098697790438,0.6194672834405417,0.8333361341499116,0.8101630711240015,0.8586190559633323,0.5703870353644749,0.5937822121555257,0.763290140890981,0.5959876988514701,0.7174270633554813,0.6647853114038561,0.8904362602340412,1.177199536777201,0.9295070515931372,0.8566128243359707,0.6483255442988395,1.0639781370265597,0.5446417104828258,0.6343577861739271,0.5658195391113661,0.5453207743089686,0.5674906484081684,0.5990411112747152,1.0817973524276325,0.7672187003305263,0.5248382989185214,0.4996171110173829,0.48971348377718305,0.6862160590683656,0.5387430681445606,0.6618808640043619,0.5552240333280031,0.7268666065036832,0.6194163586040077,0.6055710341072486,0.572450154608936,0.6790381069333449,0.6378786977581345,0.5817236049540592,0.6038237680733778,0.8806146283007888,0.6470112282960596,0.6597992622869172,0.609346804570411,0.5989914671985506,0.5921759163413198,0.5326565170530906,0.7947108780012018,0.4804298639267739,0.5000073680446666,0.7202376197169592,0.440385830568716,0.4027413795751582,0.3672888667787068,0.4009576303278882,0.46122322477244193,0.42191498643714936,0.47788339281536035,0.4330264853576215,0.543972705596432,0.5704118150334316,0.5129290569910253,0.43395719140377054,0.391008962065557,0.3888008782698656,0.36006574179294826,0.3813145745264451,0.40984181457193314,0.4315835610926188,0.3980129154808315,0.45785549144040455,0.40415924117525787,0.49385149699747893,0.438986447560979,0.6311334181040213,0.4745401654713742,0.4727843731456496,0.6573161741862457,0.4225560124603445,0.4672365658763678,0.42471105506787554,0.5430172634136791,0.5225978059723019,0.49949785225930704,0.4302073460849142,0.4458019475057403,0.44969138814707843,0.43043811250807457,0.43103237409154266,0.44323791988825345,0.4395000157138906,0.5082149710103931,0.5794961372127092,1.0486866632953193,1.8122505615874132,1.1197118642408097,0.747893812618597,0.5729295435882026,0.5611328941332266,0.5389130261479341,0.5498834988671792,0.4602089868835441,0.4855171623973626,0.4361709475153441,0.4271580524874458,0.5691684235348362,0.4421273345940143,0.4715200910435994,0.5486973449227107,0.5888445678346396,0.5731784719610681,0.47357201042241054,0.45786653000411515,0.48125263690066244,0.47405584073399176,0.46803804285975503,0.5375353883193611,0.5112478561827261,0.7958083986147878,0.5364510512490502,0.6056816060331637,0.5254205890920343,0.48575430450627854,0.5015030131506639,0.47847791268738554,0.48077286650561873,0.5905717984966922,0.619548865391431,0.6952643543233015,1.498820022131442,0.822975875066759,1.1174028360595383,0.7183037224917028,0.6817129926695901,0.625324251516352,0.4976342109689044,0.43704973342523395,0.43612139398312894,0.40286810440958515,0.3947763630199301,0.484835844318542,0.42831640930985365,0.48173741020564703,0.39708943203424446,0.41026653975753385,0.46373793874662494,0.4572091197704158,0.5358865437299118,0.4956690301137657,0.5774706279781654,0.5242152122034184,0.5898063291441937,0.62606695816473,0.6238736211356727,0.764512989444459,0.7614153214460259,0.7547949863620448,0.7826177854054962,0.7457608403079875,0.636103422823551,0.6576709388344202,0.7115537195362277,2.166491114144367,0.8737937734270146,1.589882920250414,0.7280779405420755,0.8131119624389654,0.8431196948440375,0.9405271258722091,0.6841802247695966,0.5252375948092242,0.8958933845436748,0.6414524650725428,0.6845393459167841,0.5420817478495672,0.8870886288586811,0.5647643175077643,0.7226526741236073,0.9606028653427877,0.4947954905104213,0.5420377696013069,0.6237217086662866,0.7475031522983215,0.8645308069290576,1.019418017166195,0.929593323912969,0.8579771028429409,0.8059464709852463,0.9981500445037171,0.8320309579866475,0.6772809077045505,0.8243661580737343,0.8576859416115445,0.6480094204518173,0.726401096878463,0.9181631894775344,0.8294068423744562,0.7115138040820445,0.7573836704983558,0.6835970453388419,0.6878342379029829,0.6776153127295964,0.6649947352963972,0.6735363400606446,0.5844926302585295,0.5851409055676198,0.5762238213241991,0.6015992403293129,0.4906725384881148,0.516776706357789,0.6687769506309245,0.6386799602459374,0.5512844242915774,0.580818990825047,0.8480403269391019,0.7731685470667291,0.829940247637412,0.9259394560506959,1.2115555931950763,1.1016604979554303,0.9201684333770486,0.7464675029589148,0.7203152325198643,1.0550714296842454,0.8846025631978137,0.8911139518168729,0.9807786258575708,0.6243197555972284,0.5087783098648567,0.42797749622919434,0.4040258082545844,0.40816758324651614,0.44939970048659744,0.5640567598629966,1.0673206751694044,0.4299094496274388,0.4891937162556143,0.6431328988763896,0.5705820609230207,0.5106751884489665,0.7847817111609073,1.4235706807534951,1.7159989343195208,2.1507498772047966,2.926496433033324],[0.5157818053223086,0.3495838828417818,0.5387532878194456,0.3612688180547583,0.4401149320016754,0.40068944380855465,0.3077127055339629,0.4554963489950224,0.30386938727521706,0.3136816248520259,0.39432552200783183,0.4767190936699442,0.37942082174394115,0.35549829218597323,0.4886091480603866,0.4352448625956664,0.3952347219798403,0.4414556459878024,0.4483250761534436,0.4611092308751035,0.4582618935938019,0.4698264488642289,0.5662710434620538,0.636281825865912,0.5493911004792579,0.43980803840870913,0.44182366579822535,0.40913117435600616,0.41548611917252376,0.45696971454929763,0.5034544263572058,0.5107269303413504,0.5732703703684645,0.5327474992005407,0.5185236270776316,0.46139393565180054,0.5004382384852544,0.44501114978937595,0.41824236424074746,0.44761859381724545,0.6941906277430534,0.5338917341682359,0.49855828290218734,0.6447961623203103,0.7902384675187455,1.5526750535804372,1.1968012328527922,1.0810637278208715,2.3941839324826293,2.2677721662180934,1.2074015131294746,1.539685878865661,0.928967618160443,0.7912345630605802,1.58322602880342,0.7154624456511707,0.839734621694872,0.5901354211923653,0.7946030017723348,0.949940184755899,0.5720472718573291,0.7953598256390679,0.7734543303708012,0.8036413404430403,0.5247950859530756,0.5280547821213193,0.7413383718564932,0.5629751621966252,0.6279590991483467,0.633861504689022,0.865044631787339,1.150477583849858,0.9023333286430412,0.7728091613804451,0.5980500326249168,0.9547981423489593,0.47912061586647153,0.5673588751426891,0.49807848982192265,0.4997152235416865,0.5384852191327301,0.57959705839005,1.0547482633875331,0.7571267903330312,0.5084258493810274,0.4851167103955269,0.4539174119714084,0.6669656300475111,0.48859156630298906,0.612355831450538,0.4840237693132607,0.641011088194171,0.5613631094340403,0.5449805953966439,0.5158918978988104,0.641471527546154,0.6053880364655395,0.528992151849455,0.546889429221738,0.8052551260608777,0.5841056617496164,0.6319888918821008,0.5669087417196067,0.5873094088560054,0.5785254269586046,0.5342268215585325,0.8027225718221789,0.49658041477117787,0.5082628433956085,0.7244945340513812,0.4399698024240262,0.3985011462542129,0.36630500230152924,0.3894212331959962,0.4391651018516795,0.4075902196712097,0.45844318722139143,0.3994154653322829,0.45414205277434766,0.504841741661169,0.4618164262679549,0.3955106628934714,0.36732238574051435,0.35799002431387283,0.3424998963897411,0.38706284410618225,0.43333203734467374,0.4475163748088692,0.411984819685596,0.45443635692025014,0.4227085428950215,0.5121808856232313,0.4461537485408069,0.6273840418105397,0.4794571650821827,0.4643228582991757,0.6707798334084334,0.4032417881472049,0.4412643862358613,0.4013540913347352,0.5020602965413103,0.47384020467970134,0.45055265881795314,0.3900536485362902,0.43529774319584763,0.42912308146878003,0.39851862492801426,0.4048526516611333,0.4121895710637158,0.4143023719839374,0.5122285727183237,0.5647077988550173,1.0258522663079637,1.7853027100917545,1.0787351437895694,0.6968521531417556,0.533593502258608,0.5463874921094325,0.49378364059518143,0.5364287682849157,0.4344789975946883,0.4545673888186267,0.40682467034807956,0.40317330949859004,0.5526716851120528,0.41192580899708936,0.4433868519345635,0.5077539218486775,0.5712000763095998,0.5472643071838541,0.45989226850261633,0.43184965000723513,0.45299135816589187,0.44574923064847344,0.44608336567449697,0.5185466324506081,0.4708776257579407,0.7845838118749752,0.5079536655717407,0.5863802632459606,0.5068990270628475,0.4691720162654409,0.48710477783625455,0.47522678543231167,0.47649413015420905,0.5763156954984365,0.5943766732277206,0.6827018618193137,1.4389784428292935,0.7936016804330301,1.1142789182640778,0.6508063880862004,0.6533845086057339,0.6084611067654441,0.5017741535265159,0.46102590062834053,0.45726111001391684,0.4369456158040075,0.42204278939169815,0.5058731670748176,0.46611956042170266,0.5201150668987505,0.4309259558708266,0.44307749583429235,0.5054330785091469,0.5023146358635464,0.571200902669719,0.5356019225692477,0.6197812154964544,0.5622448504536804,0.6123904963851888,0.662266037563955,0.6735192770779952,0.7930235571226979,0.7677211480323554,0.7520044732703587,0.8045442081034073,0.7432693359750406,0.6494288571628748,0.6696709939321026,0.7232981903556311,2.2498559190949394,0.8653382338793761,1.561484158858718,0.7274886218368006,0.8085832514562663,0.8420358604485199,0.9696990150424911,0.6948276294812213,0.5614448986885943,0.9189762068851612,0.6946682141660038,0.7103711313414471,0.5718677496033961,0.9295261435980879,0.560636296687201,0.7117595022402702,0.9575407548492411,0.4998449087919057,0.5780593689378194,0.6708190302657828,0.7788072001382363,0.8925034739292287,1.0190307824082578,0.9384048146016424,0.8700548475287916,0.8085642963750052,0.9826105811073795,0.8328284427180658,0.6980137257448702,0.8266198609370126,0.8561338025975253,0.6789751066507844,0.747075242914047,0.9161231717328515,0.8542905002758431,0.7493243875387686,0.7793273344891813,0.7135072652472121,0.7075771167040593,0.7034258014333234,0.68442547964449,0.6883819688141064,0.6182468205509476,0.6220212863232426,0.607701404591936,0.6253441047829109,0.5134495579556907,0.5457339504473345,0.6649412966689946,0.6308813756044866,0.5484028786595492,0.5948767645082699,0.8108685434587011,0.7361827230732786,0.7885111701592942,0.8901494314716553,1.1829372970744008,1.0381950535774676,0.8724526872063987,0.7306995953830094,0.7285776831013928,1.0158441095409654,0.8233826786652574,0.8212169872272158,0.9268055383602368,0.6131201225214248,0.5118136561801212,0.44883104710050853,0.4207961100997722,0.4561349521496925,0.46589902254328147,0.5807247118307395,1.070770576108959,0.4526819099723998,0.5470715725971008,0.7103715032724792,0.5669095380623682,0.5624245642300753,0.9004995002851841,1.608103241090618,1.955106801658694,2.3881800786925176,3.368161747485143],[0.5110496389259481,0.3904639364605865,0.5274135818808638,0.38210545086566367,0.4182696850470542,0.3767837857093807,0.27933421105559897,0.3894705892100384,0.26456784092860214,0.2684195755524764,0.3632149260589026,0.5029691456026659,0.3543432346358757,0.30350591599649634,0.4242820941297696,0.3905445900250508,0.36361532592552587,0.4051083999487975,0.3948969560945058,0.41063954341583103,0.40036106845650093,0.4143013447541863,0.5366050194737226,0.6210087333709301,0.5434022900192813,0.411420681529421,0.4028605371902687,0.37170317680380865,0.3799885874830837,0.4337509321742337,0.46183370456202033,0.4764732263078386,0.5499161054850731,0.5059891214156332,0.4795919889755991,0.4364311294649485,0.47467385540785706,0.41358232019551966,0.38017958235231725,0.39885531074767633,0.699346469043264,0.5194404973452634,0.4838424367634043,0.6495437706455311,0.8135794199237757,1.6010971420563882,1.259384843909773,1.0742562689165052,2.392811124842428,2.298857532905742,1.2010652107053998,1.551244395268589,0.8885908584037389,0.7752279012161162,1.5351954512399295,0.6609126564210195,0.8207045223809842,0.5599475517235911,0.7412356355676126,0.9688160557186456,0.5572030774317634,0.7371017472199525,0.7152731199667732,0.7474196624546449,0.47486768516676336,0.49624760353510794,0.6807441295442527,0.5033827826565411,0.5793131912595416,0.5852239794029311,0.8199674809535252,1.0568653767602614,0.8570328356248245,0.7261931072617049,0.5483741728217704,0.9314647695886836,0.43777261348732016,0.5241490733191648,0.4672474257479272,0.4755996899516721,0.5003012149892784,0.5089543379090498,1.0138077982646179,0.6606854036884721,0.47406688052762136,0.42806748406171474,0.4205215820427343,0.6328597103650874,0.46978277777634897,0.5848854403563837,0.44213878957761776,0.6280658435877443,0.5085300349026806,0.49164748063821617,0.4645234083687943,0.5766237101144726,0.5277748568225882,0.512704217446471,0.5221733142397796,0.7595124709923354,0.556791322867396,0.5775053996024518,0.5245650276956575,0.529762328494388,0.5337514499401436,0.47791435733015425,0.7361539808337789,0.43693551813154013,0.4627986019829853,0.7224340578592933,0.40092936021144354,0.36618852264791496,0.32111726688079606,0.36490522469364123,0.41182992805642626,0.3736114233242998,0.421399471041742,0.3640268573333752,0.40030749803791005,0.4607195738499164,0.40833444841160466,0.3413008514866783,0.3178075943328383,0.32720325516474913,0.31814583009023306,0.3562297500011339,0.4191714722514146,0.41334491693125486,0.37505022033123564,0.4234761673193421,0.40099600832886123,0.4767050079167748,0.41853347013092806,0.5707750593643655,0.4504443041692619,0.4508145696575469,0.6302253634094972,0.3934311705354278,0.4241410501401346,0.38265120021123905,0.48330890471027055,0.45152455558671517,0.4244160577090183,0.35981351193358446,0.40329236737074964,0.40003004332303455,0.3622745716169199,0.3802433232132496,0.3684494465412714,0.3732548542413238,0.47708851695428256,0.5550816380273659,0.9095345061611414,1.7072385565928057,1.1350890476062763,0.6290421335735094,0.48891065362100755,0.4873001284941954,0.4476818603331651,0.4907224536178133,0.39989817130059635,0.42550059044346555,0.37842019096094376,0.3766575216066262,0.5151527714463552,0.39370190608287936,0.4233935071269348,0.49787069904837794,0.5577254449435676,0.5350935449152687,0.4353847119267044,0.4183696136062025,0.4397955683395564,0.4159005122207249,0.3998742052981441,0.4668373335055198,0.44463471802748417,0.722277291152348,0.4690609082634816,0.5391436433267905,0.4761281596423143,0.4251181646821246,0.44639405818322575,0.4301126576822745,0.4414140216014177,0.5502036758913821,0.5805671404576314,0.6528654859707268,1.4727033227196422,0.7881722059923282,1.1120075960641045,0.6552485135764231,0.6556210537775726,0.613479312706142,0.4935161239531507,0.4362252034173015,0.4204906725014424,0.4027341579786493,0.4039871582303953,0.5005302420931511,0.4275866845432695,0.47449578174369217,0.4042841091883745,0.41483223651563583,0.46644113855651786,0.4789594892985519,0.5314131752776087,0.497400520912179,0.5753310844151154,0.5419893394422824,0.592113905446029,0.6184360754803928,0.6403195608545181,0.7453436226223614,0.7328782171768241,0.7241283040150921,0.7664363150389452,0.7053083330218795,0.6177844869829506,0.6152057465523854,0.6567850679217652,2.1080855519196615,0.8395343353096673,1.5438860991780001,0.7015413407423678,0.7651663839945628,0.8229710295034229,0.9151753497841484,0.6523891603083354,0.5114353022244138,0.8908478646742359,0.6675821200884812,0.664525605366732,0.5354613674843293,0.8965444921617023,0.5428903362002968,0.6746651931383969,0.9538413576325327,0.465853025486746,0.5478658657838523,0.6496227800937021,0.7502583142715469,0.8480144588717384,0.9554822440518649,0.8796454069345627,0.8218183416684236,0.755185296880821,0.924018562569019,0.77113936270664,0.6476842461061066,0.7657335457859468,0.7975536750963368,0.6279801540233918,0.6633353830631746,0.8118027539840352,0.8137330345098115,0.6757260663179762,0.6905333729302846,0.6415933232251934,0.625138050870589,0.6249647208681203,0.6123279541428406,0.6194843793055166,0.5549758422559659,0.5537836512158977,0.5366526662270512,0.5700447083887857,0.467408776469639,0.4822039373075528,0.63419079886851,0.6133913504516337,0.5205613994939202,0.5402757542470824,0.7767680962456098,0.7270294116529391,0.7732448492571526,0.9179887666361636,1.2222713347002305,0.9727999953979994,0.8404163898897381,0.7203782234336662,0.7001321592194011,0.9750297727631149,0.7816591232271927,0.7912706888826666,0.9300354709182173,0.5978225397873181,0.5079487260128444,0.4317936879242193,0.40586250491629194,0.4376071643059233,0.4412994922108846,0.5474928209417984,1.047244270768153,0.4388188027317214,0.5306541505227943,0.6945750265002318,0.5449702770322105,0.615403516542633,0.8521267549528059,1.6513330522861815,2.1927873996496032,2.745387684607997,3.687756412517986],[0.5362321158860662,0.40410687878322793,0.5406091458108189,0.37960773181211865,0.4201393683686975,0.34068758847951697,0.2204147993789072,0.41969406671612736,0.25483020722946004,0.26605672380728845,0.37283951751165206,0.5212513795048873,0.3588713030047704,0.29620314241219614,0.4108258273944258,0.39210422656535315,0.3756445567981789,0.39896687167409217,0.38728737210151304,0.4179679417571373,0.3901080530457409,0.41428366999756766,0.5549337604306863,0.5827605594252142,0.5823511716828524,0.4055636539784219,0.3786495089170561,0.3715969021098974,0.4105275762513567,0.4307790802575785,0.4425590559720046,0.4614346908277232,0.5262009372425278,0.49415555861028265,0.483178935325618,0.42248694009980664,0.47065170533062806,0.41569166782506695,0.3927408095422531,0.4072855177177323,0.6879420425206344,0.5015006899370938,0.4753060540032041,0.6567466985441628,0.876966685052524,1.785488162576921,1.4606461828072423,1.1514202118679184,2.4951625777414,2.5680885064457577,1.3621522171267462,1.6485224219661008,0.9155478193914973,0.7702345555713132,1.5299591616039834,0.6965132844961723,0.8245088903432712,0.560008738172944,0.7602581084099721,0.9691353898273474,0.5723075346146377,0.7342977746229313,0.6877601729467387,0.6957939512412519,0.47268843489792783,0.47720612506855403,0.6563429883811865,0.5019963246637034,0.5554609349369108,0.5871466896645468,0.797985850463211,1.001075556715832,0.8313757123632495,0.6751384390270643,0.5365048262184223,0.8189032671970121,0.44817532297549023,0.492181334594366,0.47549680492200314,0.48524124795285356,0.5322611517261138,0.5276371062587447,0.9560842313936997,0.6527231567103502,0.47090670555509323,0.46660820767273814,0.43965531270809227,0.6312685554392741,0.4553053050451606,0.5824024978257883,0.42771591025042005,0.5778149813931827,0.4784371545100889,0.46181230281980884,0.43836674170910855,0.5397183698485367,0.514474742048843,0.5018100756664375,0.5008256765704197,0.6682690399402686,0.5278181153220597,0.5790739319941208,0.5043916565030468,0.5340648391596569,0.5526093551783371,0.5098427210775934,0.7706510274435707,0.43491428269625776,0.464541462678692,0.7051284841072029,0.4229955276308333,0.37323751175677083,0.3097375909551613,0.3513547623365322,0.3548910089605929,0.3491158875432447,0.39525461697331643,0.3244155288556335,0.3572942830689143,0.4379179182410005,0.376351912789204,0.32448498190808606,0.282708285967035,0.29241017146959725,0.2832251654343897,0.3322908060287695,0.3843501484152218,0.3963280544901255,0.3618286818780328,0.42746734732652264,0.39944086700868525,0.4902843270305907,0.42390349020424767,0.5719176270406235,0.43711882698194143,0.43826031397071713,0.6185892347660451,0.40163765181423516,0.42922664278395894,0.3590038973991814,0.44362244037738546,0.43387627043647453,0.4016009753117002,0.35120574213569766,0.450075304423952,0.39239965578666786,0.36493875870296827,0.3724047713671496,0.3616551054213595,0.37996963032796605,0.48887244338951125,0.5425252885486802,0.9054777746795182,1.3194654548984208,0.9665005366938246,0.5762765573804852,0.46346747798315446,0.5062310692204574,0.4379372884089538,0.5074081488247333,0.4076611143502518,0.40533262751017785,0.3797331399094913,0.36567831056914835,0.5222305317001925,0.3831279912399521,0.4229878389771379,0.48446543890728916,0.5456520237989703,0.5280316015840768,0.4154397422015615,0.39903003669691883,0.4252799960280775,0.4352123316333742,0.42572578089545043,0.4929986299465146,0.4608783248097499,0.7417302511335175,0.4905774509603192,0.5518078418051733,0.5214560247051335,0.45648466884634586,0.4709692208258749,0.46661592030623783,0.47104322222696665,0.59432377531385,0.6044038940207587,0.6904317049538037,1.42866112967839,0.7867119038804797,1.13661852452403,0.5802424058952432,0.626227192848598,0.5918821990823524,0.4777172919233291,0.4301196793234628,0.4154813878216718,0.39691190537593846,0.3938915573184827,0.47146666780019875,0.40562207166612135,0.45608714502400693,0.3854224399336682,0.4032868180956688,0.4529560051623744,0.4628535948152159,0.5184358990657173,0.4880141242449836,0.5574027205154859,0.5364156368935274,0.5844210980494708,0.6097919968864033,0.6367579770542258,0.7529290077322289,0.7126544594730344,0.7205889491614987,0.7593227090832312,0.7067000898093461,0.6094210567905401,0.6096355623469086,0.6532022337769694,2.12900089315031,0.8401524122280779,1.5212340932929176,0.6849092880120523,0.75688941819318,0.8157342458182881,0.9076498904965945,0.6581563239540967,0.5033165173227484,0.8916987298713335,0.6437941012799798,0.6551355915675772,0.5277816401435458,0.8663715443579828,0.5436838571136429,0.6910192408901074,0.948135346895882,0.4675577609881013,0.5361406953789221,0.6469905762603754,0.7494964740027551,0.8512257801393126,0.9269584750334344,0.8690969604477362,0.8346561446495258,0.7324974840813234,0.8894921131571129,0.7683895328692456,0.6287701332041273,0.7350786764674081,0.7752618752761876,0.6038514716155963,0.6332139016765136,0.7653084416232486,0.80320004164925,0.6629203747817172,0.6631834171754879,0.6211148551783235,0.5973181569020398,0.6008759246146284,0.5916863473865303,0.599619176802811,0.5438626790715064,0.5347685895167674,0.5274465435255464,0.567606078958837,0.46315198115484435,0.4778764843430432,0.6264559529021492,0.6112755631128794,0.5204101855339766,0.5308169414035101,0.78613296258054,0.7204843567084112,0.7667164191259394,0.8846951394530278,1.196084112466856,0.9667043385994789,0.8337561237825866,0.714042191910633,0.7200619240555167,0.9851437137554226,0.7822812721274859,0.7767919629070829,0.9069530233461861,0.5877162473988302,0.49843184435740295,0.4294636934564501,0.4098555622149447,0.42803805501608216,0.4166719005165722,0.5131111511043163,1.0323742040752104,0.41675768865142543,0.5114944521488769,0.6528267375310478,0.5677644031671761,0.6156464518929005,0.847026291258997,1.6430214464048538,2.290304946404541,2.8026974960708224,3.4284472290452963],[0.5105270459899471,0.3886307048415024,0.433595777767659,0.3951447663704982,0.397002507059362,0.2870378288186605,0.15387651311461978,0.29213902800264496,0.23618765929980406,0.26191641189094605,0.3319199562559081,0.464440228815951,0.3143973548937628,0.2804293436841519,0.3509272627545538,0.33485099315254924,0.3561685215298973,0.36779720845296293,0.3789159920406084,0.3957238186652624,0.3760153039347992,0.38037673977730546,0.5255712091966072,0.5874703302055184,0.5828344467841833,0.40476106428652747,0.3571247038272773,0.3330442312250229,0.3667475956901186,0.3690630503566091,0.3783184644111148,0.3901546302284883,0.4438054102455741,0.42272598621432406,0.4072045942210096,0.36427940520842556,0.4013672571506998,0.367178164856295,0.33647926412836027,0.33634519311254607,0.6989005265936785,0.5052926027548219,0.4755935897907102,0.6523669991787472,0.939043534568756,1.827721228835311,1.535806986698488,1.152151468181393,2.4793162658362875,2.6089478965411272,1.3464269265079007,1.6454354469660573,0.867042619501507,0.7489354611716358,1.5097774638891304,0.6476837391559938,0.7762919526395804,0.5443207403467569,0.7138783665301449,0.9781284937196006,0.5465126651025647,0.660049856680736,0.6244361254948684,0.6504601168882145,0.4625543359492633,0.44129774437921127,0.6494188114933823,0.4917129000884157,0.5564340971586411,0.58756632457081,0.7828939187596974,0.9447392146068174,0.7785132420497826,0.6773152310700934,0.47655408992329457,0.7962909912747714,0.40487748730243933,0.41149475254940715,0.4127376478063247,0.42623682955042713,0.4582418289109296,0.4524205063281528,0.9050798093785537,0.4907424335985747,0.38810499868434395,0.36578868243024154,0.3643443828151706,0.5429520712982451,0.38940118260451106,0.5090533436553687,0.39336048690332903,0.5059152760778631,0.4108046281403145,0.3686480923310247,0.3550094662127332,0.43405147917715076,0.46359183973607304,0.42742052608825293,0.401184305788715,0.5732618688953707,0.429165943999585,0.5026419671462172,0.3933496876622243,0.4280979126707853,0.4447693953347699,0.4086124728112965,0.630727338545483,0.3444732729406487,0.3982564036745674,0.6320176973467859,0.32505687109337345,0.2786645400953682,0.21662356937868604,0.2899354226379064,0.3264405896280866,0.3134184167784147,0.39049637675835097,0.309840283174309,0.3759402644941818,0.40375467596937487,0.3636084998990994,0.32639582537004885,0.2591751330314024,0.25997508159921284,0.24780841580885862,0.2932968436051047,0.32371263098687025,0.3221490700231219,0.27321156849860684,0.32457614694671966,0.29756543048183565,0.3712763819873995,0.3303584060984831,0.460671215728413,0.36995241267502027,0.40112811297260703,0.6230742912832403,0.3530553493077224,0.38756029228159966,0.31832113123362143,0.4350931921864627,0.42722800812535394,0.3822315144056368,0.32336115371071905,0.4061630980451217,0.3578629914131654,0.3154802367152848,0.3269177878115601,0.2771336264426521,0.31353531629956743,0.3928786240467626,0.4576038870535782,0.7544841560651512,1.2402541157122007,0.9556074178737078,0.4648288367691893,0.35739157396753335,0.3898579414023909,0.332265723796065,0.4145990982274486,0.3185243877409572,0.33699386810234433,0.3230355530090836,0.29406277460685265,0.45085189445125196,0.35268410590322496,0.3888699782134104,0.4785012497477526,0.5415579153889916,0.5177037659649427,0.38439867371969677,0.35849155979046216,0.37059511125189565,0.3462922761728728,0.32201277741295103,0.3930371537951902,0.36350830474736034,0.6377261508325005,0.38952444696773414,0.4454026663093106,0.4595778341618284,0.33954884301143173,0.3607650397808149,0.3628049074328726,0.39190424277494496,0.5472730600300908,0.6051454297183642,0.6777915114683241,1.5103416206454008,0.777200338367002,1.0814251264763834,0.6095171604934696,0.6204063266601518,0.5730204785229597,0.4209277019134472,0.3602674805377441,0.3656507619487049,0.30823580329629197,0.32416410014308483,0.4430156964146054,0.34116571989257527,0.3744811180330212,0.32144029011908304,0.3492057147660025,0.3944638012444619,0.418747155424997,0.4920482152947689,0.44440276119936944,0.49694753353118065,0.4973698794021883,0.5440062846423868,0.5664071791014453,0.6033143605847588,0.7112528521019829,0.682161908722148,0.6975041412589762,0.7380912898773144,0.6763331357184112,0.5803589075206592,0.5777422111896076,0.6117899524517837,1.9516625708584243,0.7997196176953513,1.4740459958155876,0.6197908855642099,0.6527340751595359,0.7087902401702588,0.7718639345648749,0.5808011360421248,0.4308056031521858,0.7858654726223065,0.5665034969076409,0.6260998626653665,0.461148647022991,0.8100361251214508,0.5461836735578606,0.6736139521962095,1.0098636313537106,0.4215846497807474,0.46168621063798776,0.5324788742709696,0.6456800851295135,0.7443586098293719,0.8297700606826558,0.7775806214342657,0.7069005698502593,0.6277075368895326,0.7666015455137077,0.6506297420723575,0.5546446840446684,0.6516562844732724,0.7104073661882876,0.5379722561218403,0.569446427762206,0.7202288739771866,0.8053116185319202,0.6223038843249276,0.6115823003799356,0.573070997392059,0.5277006705346565,0.5311827619482444,0.5240844820247473,0.5262914945057853,0.504457359061479,0.4982834510877236,0.48895806703947964,0.5357088318199908,0.4351716293528749,0.4414010279057801,0.6169182752333277,0.5850927134759997,0.5198252016234355,0.5352911778247285,0.7928712460248626,0.7120247879421544,0.7590728131434301,0.9239308406777175,1.2306058694273374,0.9178078783806913,0.7981404559930552,0.692815386442171,0.6573229265904664,0.9575341497007124,0.7474853412653607,0.7594742342122726,0.9124711901125627,0.5729501749427804,0.46367812752339427,0.362618968507437,0.3458826663870841,0.349267364932152,0.3610026529586079,0.451584072106847,0.9719369837416239,0.3719254830790947,0.43730121459387566,0.5770114262437916,0.6890180830157184,0.545996192288387,0.7332661118295178,1.4797874483843378,2.1997343121218127,2.6455189667347105,3.3171098753589643],[0.43372072936069545,0.34680423394296467,0.4635378826610131,0.3865077676058065,0.38214811296523377,0.2652048092262007,0.15810658865172075,0.24991915127374398,0.30172184424894977,0.22609596764998777,0.24976252799783039,0.40084754615502377,0.2673030302060696,0.2467000973077004,0.2725296258995621,0.27870514731982293,0.32833816266010335,0.33034389637586253,0.37895096786870247,0.3581620762862229,0.34654975104292046,0.3734103291710086,0.5217242430873752,0.6151363568575091,0.5937341615445497,0.41506253773937185,0.3517343446114242,0.2970050779290693,0.33883849588011683,0.3061036206901085,0.32215858066560693,0.301931846093892,0.3460518400329737,0.34408697764451524,0.31917197718402274,0.3143765482039814,0.32346460506450136,0.32086589038761243,0.3146937108686002,0.3236279407733004,0.7310200644782858,0.4985206192840433,0.48219972085969603,0.7023241452682004,0.9888101616909986,1.8416844825600047,1.5837844084726298,1.1708990207042715,2.4558706971266235,2.650892919799771,1.3719528326001968,1.6530537840857553,0.8393556018242063,0.7561015480840316,1.460901077143593,0.6303356434400282,0.7577956494235666,0.5670670785213753,0.6836504802175237,1.0364395114254177,0.5630097345693647,0.5904127899918538,0.5425494301926729,0.6075260584527161,0.4649996917193861,0.4046068425270448,0.5800363518019778,0.42574677251463766,0.5573936601976293,0.5603636620205286,0.7852109147772108,0.9111848449869563,0.7217279662966662,0.6705556054570392,0.4394123077527365,0.7728616106172708,0.3776177210757153,0.35731209604338326,0.34847173435441486,0.38086303961202467,0.4170547995039259,0.40980154471535185,0.8671571735445027,0.41865007413869,0.39605945903699424,0.3164040780125445,0.3127894767601895,0.4862165548170283,0.33683833914090633,0.4498544347326763,0.3521619009243905,0.527832457425242,0.39216045322824034,0.31794333260720187,0.3043984350583733,0.39264344350049957,0.45713488755099513,0.3605548180054321,0.329118617166144,0.4971791113990116,0.34845384651370565,0.4659475494847174,0.31873696033545246,0.4003460441830353,0.4113722675867266,0.38013086262179124,0.5371167790232687,0.3832899117378671,0.4150410646216493,0.6282746897684248,0.3265613652851958,0.29106573339732217,0.23394348252983557,0.2974244994270924,0.29654589512426366,0.2859076332002979,0.3632206993574341,0.30559446786280875,0.3775784582882409,0.3797850671124646,0.3620841233318427,0.3427637762868067,0.2667521144925324,0.2491330417012361,0.24660124317547438,0.291980418779308,0.33871998024323646,0.32607138171784605,0.28809869305281055,0.33070890816906096,0.3007986758583762,0.3524242338810102,0.3377722244445088,0.42082732150673,0.3810301975912275,0.4219550374163811,0.6360092865230228,0.3553934211242187,0.3774923477486572,0.3161361218463685,0.4391208937893724,0.4420631484748342,0.38959790968322977,0.3185731932192639,0.38624170655521817,0.32712460948152455,0.2924128319987088,0.2959565839798293,0.25634158479820973,0.3182673497394652,0.3751985956524824,0.41242134810521,0.6338384478357212,1.1486554023402713,0.9164226173458259,0.3862752790670122,0.27344916706829825,0.3357340076258663,0.2804615541743941,0.3987386288404832,0.3091340440539426,0.30275122664893195,0.3154422616000782,0.2835262869502033,0.42357372740664306,0.36329513749658715,0.40489715177589486,0.5084272779088025,0.5574899154146113,0.5315038319213952,0.4018315651231246,0.36573804786519243,0.36279296403714445,0.3320301789779043,0.2952428494787584,0.3571416360758692,0.3552093414835006,0.5868168667485704,0.37331110450384614,0.38902696219866134,0.46293732835108925,0.3127023814009284,0.3425625338366812,0.35913844716601945,0.39840159817716747,0.5391432269121156,0.6259270002355808,0.6736340691215852,1.602548437281794,0.8051989765621855,1.0181378572761706,0.7103762856887438,0.6614588287104223,0.6137197633015014,0.4417692032798691,0.3701312824949133,0.39046625269225155,0.30650944746446523,0.3530362712329828,0.46633029991482866,0.3478052790948223,0.3717786862301767,0.33764692176832645,0.37381755411169226,0.4013947762790363,0.43968469597996035,0.516810352496605,0.4590001589964484,0.4980490294501437,0.5204646041338153,0.5550933897851189,0.5794018613797617,0.6350024860509813,0.7202298171737896,0.7200644546088172,0.7145338376243187,0.7637126801269578,0.6668561437418323,0.5816463702184396,0.5853635171216545,0.5885478024867271,1.730593265466841,0.7727418991089988,1.4733804878185348,0.645258578681607,0.6093962837473239,0.6635632536318548,0.7281261334395678,0.5613926518049676,0.4211266873625735,0.737336929590554,0.5988480506593722,0.6553046864622245,0.4836061812354138,0.8321307273569705,0.6175218578248884,0.7000823744745333,1.062369103457735,0.4439995373035658,0.4726059460810396,0.5106541863687604,0.6257909244112526,0.7182867728827415,0.7630625727230268,0.7449174123769745,0.6646568221566277,0.5946756216056853,0.7145467769554092,0.5991686863624035,0.5317691571240886,0.6151808160095299,0.680217852037645,0.5357574598818088,0.562178445540709,0.6887262091935678,0.8235892764489814,0.6378484066076795,0.6096928500173304,0.5645193800292698,0.5138957019619741,0.49680384178425785,0.5065370358308855,0.5055060602546934,0.49566763873048886,0.4910627222016203,0.48263901339195187,0.5429287597394796,0.44639594198933735,0.4483353330828723,0.6571379199355504,0.6119761810209656,0.5643081237488109,0.5769066879089213,0.8314863973442642,0.749847825510768,0.7667914041290422,1.009919526851263,1.2761670381266468,0.8774260033187987,0.7756803951511804,0.6972497143378181,0.6338101385200235,0.9337741584196624,0.6921183524656458,0.7202508432228327,0.8807536623342453,0.5696306634251571,0.4614681303446324,0.36878135962079495,0.35608058166120593,0.3368537452069861,0.3723012787155122,0.4225266596872278,0.905250468317083,0.4111522025312885,0.43246289417978234,0.5188920275926846,0.8011688504862942,0.5208869453409591,0.6688141974682135,1.3438872992819113,2.123119410599637,2.6527715764989046,3.3711688295167233],[0.3876155642033756,0.3222460699207006,0.42299507299447536,0.3744797185462272,0.3607024814360673,0.26541983112572637,0.2362653950195036,0.2905021064946742,0.3297694999445995,0.25165882599474215,0.2827541936127878,0.42381090544318656,0.2854238790502375,0.25527740770132096,0.2930619872292708,0.2975182748887759,0.3266490325894555,0.31645973866598487,0.3881358241746192,0.36357286462464333,0.36639240535493434,0.4090861217015946,0.5724200625453755,0.6720561923017719,0.656685489612314,0.45896765717734644,0.39269256403593195,0.31338021340696093,0.3459129966463832,0.30545530143575805,0.33868915809992617,0.31566214040941415,0.35390063983835457,0.36765364768577824,0.33239338560026777,0.3148090214609064,0.3238175529218554,0.32602520330647344,0.33534815816413827,0.368785292592419,0.7730715863285966,0.5038238774577036,0.5087118616888314,0.749450485187592,1.0565011318983044,1.944442352959124,1.7577654106051352,1.2420089752192656,2.4727393428906765,2.8419377175539955,1.4849406596130925,1.72339805707849,0.8661207240828817,0.7817264963877539,1.4476452398216986,0.6745087736026638,0.7841011285985524,0.5934504000812646,0.6888067542270172,1.087188993038908,0.5934288406094266,0.5871295912336865,0.5213740342515613,0.6146538138087849,0.5043880120391009,0.4129803658778821,0.5547648285694425,0.40595659434892495,0.5595227816341012,0.564975589601361,0.7754758284092872,0.895330448545393,0.7207665950740975,0.6941309574429645,0.4526230502734193,0.8392950984815998,0.38233978913688543,0.3692934351502401,0.35091937464166695,0.3886058140545244,0.42534401382699955,0.42578895528538624,0.8560441460393586,0.42280700178118896,0.4093781072324911,0.333004637604031,0.32814841162530506,0.47627716180361734,0.3330640860799409,0.4532118145478532,0.3513224257873422,0.5692837961206622,0.41361574652201855,0.3389275710854484,0.32943321284137583,0.42461742149680815,0.4786528877931379,0.3748213595093012,0.34386443375507864,0.5189647896947973,0.3785999881173486,0.4979093749573068,0.3255696914028249,0.4409475185651669,0.4624271254847197,0.42029840230645304,0.5696671211911498,0.4326720558577889,0.46258845885092476,0.6366362301605184,0.39092643840521113,0.337507243786293,0.26672185512901675,0.3215127655407181,0.2965482867914372,0.3125312106615364,0.37674531949987733,0.3403817427025521,0.4102115956282415,0.3647615922424934,0.34351350912880496,0.33448244328592597,0.28986243851432597,0.26266065647416914,0.26906501487946405,0.3460987130557267,0.3563506677316289,0.37160089180810024,0.3503495876006499,0.3575875856711859,0.35328513866350925,0.39768602103570855,0.3974173427202564,0.444108254809761,0.41801196073940683,0.4787996510048779,0.69400357381753,0.4275718993617746,0.39918962943766495,0.34820157398077595,0.476809046726369,0.49294775535395957,0.414520147500983,0.3479656034331587,0.41836976515490804,0.3487076429837333,0.3215189289125814,0.33434605139596213,0.28444545934071236,0.33437925165987775,0.3968205091930622,0.3949075789945926,0.6626939013791469,1.1286646825896323,0.8767499838964679,0.4006329788447991,0.3014669574237591,0.363590722790019,0.2972568703504124,0.4114468463327512,0.3302549843624924,0.3242983651655859,0.35414968356508564,0.322026006601941,0.4756380138492124,0.4335654251240431,0.49344883260722455,0.6147482635710587,0.6600298994411444,0.6217308542577529,0.4749547462021354,0.427598038156794,0.42837652327904857,0.3742654709551652,0.3331377436501145,0.40301844575004314,0.3616323711815436,0.5822847207303878,0.39988163451275577,0.4273781501322826,0.49829290485668565,0.37148337620262206,0.40460395321705056,0.4324438836366767,0.46011365295795653,0.5878408072972002,0.6821775931702729,0.8040725962530689,1.6877240615213198,0.8590927662242807,1.020036948981922,0.7217016378325476,0.7232672641157724,0.6903667322107991,0.5064973829340222,0.4379013754085855,0.4420171328090305,0.3649738598814659,0.39915041539731394,0.49188478345259473,0.3597696000882249,0.3531595788307523,0.34292932486134076,0.38058720683573505,0.39095489863971916,0.4180586986240894,0.4978529429511728,0.46117061825986605,0.5124124817225465,0.536128469212387,0.5795723519789795,0.6250145555223617,0.6912252375216698,0.7578442996888652,0.7855983444282773,0.748275624723411,0.8403236937267237,0.699832592918025,0.611062062305213,0.6304050344684884,0.6292820142498602,1.6244590981346552,0.8161437171248319,1.4855368483302887,0.6432424157033546,0.6178855064053125,0.6947140670608817,0.7201817885576877,0.6128906626990617,0.4564363698496959,0.7579287956365867,0.5978204515510546,0.7081163695280531,0.5474839032788736,0.8259060264016036,0.7430512719661548,0.7711117120837635,1.1076501670267977,0.5151260542309009,0.4778604811706927,0.4845023490731168,0.5889175840721885,0.6418936678106394,0.7378212210304597,0.6875718075246294,0.6286443633251446,0.5819925658015809,0.6664734810538308,0.582437248046932,0.5369281124714378,0.6302229322781022,0.7175897079807962,0.5621812213462515,0.5925590456317091,0.7464634744239602,0.929384481351115,0.6864754012598382,0.6591331089515974,0.6018725385966964,0.5462817830550023,0.5125987394503705,0.5075777222698938,0.5399430718261449,0.5042131068479618,0.48913274470225604,0.4967954788615216,0.557225567458113,0.46104041436206616,0.48597662984670265,0.7082739795899529,0.6469906574848784,0.6353549919615499,0.6143913385515092,0.9305355545643335,0.8176941379970507,0.8283595117216919,1.0293625905338746,1.2655822632928395,0.9630508381667786,0.828082780991463,0.7161647230347847,0.6107503286325165,0.9414697345297617,0.7888506273308501,0.843909028853773,1.019644074572184,0.6581544964069871,0.524189381651357,0.39974666715457424,0.4054781531305796,0.32151495526413526,0.41061908321522606,0.41271089234073816,0.831238398666925,0.4615813046057086,0.3951951327086445,0.4561263116180194,0.8614967869701472,0.4105240693440134,0.6365319316325599,1.0558324521942701,1.7978137858756038,1.9126360235207356,2.374598706856908],[0.4361546129702814,0.4772581281598245,0.665810722510792,0.5415752511036797,0.519244634818236,0.36743449401130945,0.23226009421860738,0.2597037300568824,0.3130734788470498,0.2509306654756001,0.2603489099950581,0.38140658776353076,0.27733555075831884,0.24517482876575006,0.29749351224040643,0.27448038696273375,0.348772330069642,0.3354863029579433,0.40530414090786715,0.3936785347010883,0.42500983473660336,0.4682704619130269,0.6598404778688081,0.7481683068133471,0.7251959192351597,0.5165831992017438,0.4464663996237653,0.3313364358167694,0.35511989752014245,0.29855746152829843,0.3522687292829983,0.29839201639065704,0.3376942177061934,0.36265975763589414,0.3374739056655249,0.3509330675506646,0.3381466881141525,0.3623551083604674,0.35861888122982405,0.4252209070569323,0.821279059627001,0.5515573299560806,0.5742440412532996,0.7895226890607248,1.1748432268167341,1.9849502998228865,1.8608378969466206,1.2603594531451179,2.3687968010133287,2.81809359581482,1.4658668340109169,1.6942825077152215,0.8679830232185634,0.8169218849246269,1.3787161090178262,0.6678819988398569,0.7622984346811054,0.6404406791572317,0.6575726894315994,1.1584641681404544,0.6759559354942604,0.6131262255632438,0.5291491632383333,0.6649956668378995,0.5758295193118461,0.4734596070555734,0.580506817146824,0.4152723602175746,0.5489619953333985,0.5900924498898332,0.7649945172055959,0.8973241522933149,0.6800028591648297,0.7271879061383338,0.47058441855413835,0.8728652162036181,0.4199584141498566,0.3782611739771791,0.37408476465154694,0.4249826805330554,0.42131117573628557,0.420872828540216,0.8236450003716129,0.4379810946218493,0.4493581403721852,0.3263465975108176,0.3465506762391329,0.47351553868546237,0.3585200353864926,0.41453477678181255,0.40203693618512204,0.6085415746696976,0.4930164392906621,0.338455570164183,0.3238152591279301,0.4422037468655062,0.5167325609408348,0.3798278766027697,0.3297236580172918,0.46549621737068125,0.3089464305543659,0.4491393882423734,0.30539110188559104,0.38758356499900815,0.413992649601125,0.4235058068328381,0.4949979915615433,0.4729411134240837,0.45503449696785747,0.5717506897701534,0.37771904178022647,0.33411829047175934,0.26477181114111276,0.30448154458924864,0.2928128855112227,0.34718001281985067,0.382536505492364,0.3879677113677482,0.45413740403886066,0.3464610950671195,0.3598938380889081,0.3588056654748807,0.3372798084730576,0.26068623010944386,0.2534233682351141,0.3478606554911206,0.3740214142029944,0.39529854743704457,0.37020881574707765,0.370937216994646,0.38629530755001223,0.39171215892083083,0.42416368329148163,0.433610741722204,0.4260169761637882,0.4919115303547948,0.7109787276106968,0.4474405207381393,0.4090978785596305,0.37843080443465366,0.5321567812662642,0.5660541681660703,0.4402114078009739,0.35202148718623777,0.38418952485937424,0.36500094244153647,0.32770455466444903,0.3397356306515061,0.2712894448244383,0.33114736773686254,0.3360125140646861,0.3916768135069924,0.6061862490469649,1.1032191859905351,0.9133483761572619,0.3565435519527538,0.2630176345853407,0.3147911286603768,0.28693236005825273,0.3545421392207742,0.3343206535382532,0.31514150452443396,0.36189909625490846,0.34880700370273643,0.4572136397187029,0.4820349876377591,0.5538160736192099,0.6951147129438319,0.7119127542749307,0.6587608780590842,0.5167433815844878,0.447502253864508,0.4442565974906973,0.38103150825568305,0.3289495115267014,0.379613728859119,0.36805345129225187,0.5168942376110021,0.39222081166749206,0.3753438412375794,0.5427426130038586,0.37049857735193664,0.4327702471151339,0.45698216759677945,0.48328938094737145,0.6218694877170163,0.7297639919530063,0.8302816504794738,1.8174738590692823,0.9282690615924643,1.0750276320969698,0.8300088307283736,0.790936012018357,0.7490175652241325,0.5589041166660946,0.531573769177845,0.519000400558661,0.4443643072765624,0.47537436357800406,0.5653701481629082,0.4584774335746115,0.4329254981968671,0.43158914736392634,0.48746219060006746,0.49121695942016796,0.5124777795785428,0.5761996683508919,0.5678388240416136,0.5916807243472295,0.6654409896525403,0.729759128279481,0.7561653104064737,0.8016073782255541,0.937174216590795,0.9739721013754794,0.9159901918960752,0.9965309797871251,0.8171300221437624,0.7277096381216865,0.7477817307535571,0.7321052906173179,1.4682498536033661,0.9091368754545225,1.4788512402818739,0.7114691835712037,0.6398944791968876,0.69727367418178,0.7241988123041235,0.6638648597717536,0.5516977080316672,0.7682197519074047,0.7014418916696067,0.7561994998524986,0.6091144483152595,0.9375131545300345,0.8864687922563442,0.8454525693882475,1.2210163346816565,0.578755638537201,0.5792758224668094,0.5207753168458326,0.620055275464398,0.6524949087208068,0.7020543542491094,0.684341644794703,0.6158026244547976,0.6222774379992984,0.6373473140978088,0.571070882960108,0.5561560458695024,0.6213018506036718,0.6976184832243395,0.5961977301974795,0.6248188853202149,0.7474599912619726,0.9725374221310265,0.7737967896457941,0.7364268470077677,0.6781992307809703,0.6075630071532743,0.550696906315241,0.5510176014656007,0.6029310941921163,0.5797097929701694,0.5576282040602223,0.586580104855987,0.6481566916772153,0.5654233389641437,0.6052168981541445,0.8181929716654625,0.7333702477988973,0.7323297106161145,0.74306282018303,1.0382689460149435,0.9260024334738515,0.9010090436310441,1.2326628770321209,1.3616775030634949,0.9911440539293254,0.9121137052059705,0.8182192029097155,0.7696725455001214,1.034599860701141,0.7961023433183921,0.8544950317592465,1.041930318786932,0.7409904592447069,0.5668658374681964,0.4452748414789776,0.4112653562686121,0.40428554055880045,0.41979256195780384,0.4057419291882877,0.7472147402400068,0.4463150280136567,0.4621532612621383,0.4471717957981391,0.8455115312482586,0.48383001377445,0.7203283262892893,1.0682260682231288,1.8562875435281263,2.112442383401538,2.697979422727635],[0.451421762077845,0.5066967543937066,0.5854942540580327,0.536374623941568,0.4788328612458705,0.3753646741200647,0.3101052484589822,0.35272793605376,0.4080653242238882,0.3603365690492849,0.3692736655123949,0.4623448611575961,0.3409028895004729,0.3307930751386592,0.3617221711521402,0.33664169676980654,0.39400731307224507,0.38686380632798645,0.4563617132193148,0.4225773783558426,0.46073261135417803,0.485530490994298,0.67521723382285,0.7927814276386642,0.7475975003805867,0.5556699512866187,0.4758082379900924,0.37841052506698464,0.39056093525725066,0.3492663177629602,0.4058032158460612,0.37714752573073623,0.4236641644120993,0.4427374744800027,0.39834690149294477,0.39247186873187856,0.3864435810116341,0.3953519833734688,0.3833027516698822,0.44410478420150845,0.8270518210988023,0.5660021542214064,0.5946271520353632,0.8153198961197357,1.1971572814441347,1.994261545830638,1.8856894897319167,1.2747561078266274,2.3701012252471996,2.859233950808211,1.490708286595516,1.7444390795316547,0.8724056111092803,0.8355192249550157,1.394069374708113,0.6812990937545218,0.7740358328198323,0.6497389592600257,0.6763592327650809,1.1717755406072856,0.6660347226027836,0.6127971792808727,0.5436543579920708,0.712472488943989,0.5664741766127598,0.489476904529422,0.60774331291547,0.44085650642400936,0.6163744403505937,0.6371390656806706,0.7990952608467061,0.9531221671735003,0.730269265214845,0.7641145422414001,0.5196027201158671,0.937505072634654,0.44358845578188266,0.4182117824221859,0.4240355239331896,0.4499637516541996,0.45392410599407357,0.4441115168628149,0.8323251150905986,0.4593236882084606,0.4644260540196628,0.3514714648921964,0.3837056653594064,0.5167849804984388,0.40254909246088655,0.46032430941115615,0.4496438555179571,0.6427331358382047,0.5322983026438419,0.41611846589208895,0.40914834758717256,0.5294559674616329,0.5742979500089158,0.4592872705560275,0.4162652014088708,0.5624107872222204,0.3884762096679388,0.5195481231289295,0.3551036172699557,0.4580907273153166,0.48527479341325963,0.4674320453125476,0.5703942293415751,0.522212620798189,0.520765801837674,0.635031411608896,0.44916334192533997,0.391741689864539,0.329490598286274,0.35319600336038015,0.3537271657395413,0.3837205680950218,0.4217275602560766,0.42675656671827866,0.5112729644213927,0.4154482493154826,0.4258344605977089,0.4197004403252877,0.38706088187656246,0.3261988578950437,0.33153992272153443,0.38766409546090397,0.431804642628413,0.43765909590012075,0.4211591225336156,0.4169295733244481,0.4500757569435476,0.4607293457589961,0.4691461388958854,0.46354043174202525,0.478118314821894,0.533732844325067,0.750681184308206,0.47344070872379324,0.4338724188732275,0.4112034572135561,0.5465310705044792,0.590043828187264,0.45798291129436103,0.37374293756434196,0.40957125694233804,0.3991666008801224,0.3725368571651415,0.38303255917970763,0.32884215104198233,0.3706082202622137,0.42442531625477864,0.4459229547017428,0.6937574175655487,1.1847593484851764,0.9449530178616216,0.44204847827978794,0.35530173634101475,0.38540179693039944,0.3457660802400414,0.4043325797250567,0.3887964880276191,0.35962433350208517,0.39274131676901475,0.3838809807282675,0.49165006936794725,0.5113387900661418,0.5935586304349127,0.7540803140174963,0.7706445435993369,0.7085524628509223,0.5573284888940113,0.477181893697991,0.47024578428443087,0.41623830224033626,0.3809375931217807,0.43510789777608755,0.407599706662695,0.5612981650373732,0.4314984605372216,0.4347401390206279,0.5629990177242672,0.4240441801763663,0.46604341803830523,0.5108301626300044,0.5243502054884585,0.6388211314557318,0.7371021060562989,0.8763992358555541,1.8373808320273382,0.9612800218094825,1.0841812786290688,0.8050861669862768,0.7857287892658565,0.7560863919917948,0.5815403655258133,0.5800430309455954,0.5696689569524453,0.49733700470580755,0.5241678855576881,0.574980775614641,0.48208338771938447,0.44957276502616356,0.4501124283298451,0.5078817840272407,0.5084513511426332,0.5141874836273773,0.5557557120154362,0.5656060860355676,0.6113448221568986,0.6510021852307757,0.7205783424409767,0.7744979406243289,0.8180212288406272,0.9269181664857262,0.9943838533854445,0.9200015526798361,1.0382291609258976,0.8484496465502639,0.7486632957462054,0.7864971191946927,0.7874514483693797,1.4589386414054215,0.9466551422671489,1.5011310690749653,0.7221897933529792,0.6800032372206651,0.7550527454162024,0.7633407046241991,0.7387837449692636,0.6091116169894888,0.8251930958787063,0.748485281136103,0.8386413393863351,0.6872707295291572,0.9308378015223416,0.9689276760353684,0.9170352942121478,1.210746690588087,0.6336891045602384,0.6014211254578157,0.5483016642006335,0.6278369778594771,0.6591028496754375,0.7543952185224707,0.7030878159322712,0.6404356479714678,0.6352186778810059,0.6605855382176103,0.610792399203246,0.5972859273060407,0.6826572530627187,0.7684662002629274,0.6458648405446186,0.6840917903421639,0.8321557963999334,1.0371155267847076,0.8128195219972729,0.788383584989876,0.7205127374815308,0.6636301117349562,0.6003382152691585,0.5949768297440302,0.6554080062619551,0.6180134567249228,0.5914670773682376,0.6262706245919749,0.6810081205639091,0.6072572449059093,0.6579763376923602,0.8766948847481852,0.7676061948553676,0.7977681133388889,0.8025555890043699,1.1304618698655846,0.9924218978662624,0.9576897829700222,1.2223059169316475,1.3297244055617192,1.0840298499683239,0.9483817404982705,0.8248861552225418,0.7138590441762805,0.9758756948900426,0.8782350938485329,0.978007208347415,1.16092126303574,0.7842191587742401,0.6200027539714043,0.4935342095337042,0.46544075769479487,0.46373796296897846,0.5020751281374343,0.46846982269738024,0.7847001821053563,0.5333480248646223,0.45247907043119034,0.47482058410107997,0.8837760844138777,0.4194663652063618,0.6959900530025444,0.8659406599814614,1.6083829285288809,1.624576846121327,2.122431273741597],[0.4209139478488898,0.43963389058582764,0.4899089348772103,0.42071375961477026,0.46238919559410024,0.40591766700315635,0.2752464131638756,0.3220672568955987,0.3698685966119218,0.2785703385616477,0.3010530291214059,0.421477744589442,0.28470310474354693,0.2684073804614947,0.322397170177209,0.27786924901254967,0.34033155385042285,0.3260996070839954,0.4365129600484637,0.37206749418392077,0.4259935275357316,0.47340808511826493,0.6611167007007666,0.7787029022789814,0.7008219977659214,0.5169050389717333,0.4467583875293873,0.3160657011153982,0.3360858078122706,0.29334053397278603,0.3437243409371501,0.30198693652547615,0.3642057793188836,0.36813139548330276,0.325917820875098,0.34047314846766497,0.3195209909580422,0.36180993844890197,0.37004546249156006,0.43463473137382885,0.8064243115488549,0.5445209835413893,0.5766919777233338,0.8012115271730956,1.255496573376111,2.016869446334214,1.9687814149456657,1.286025024957379,2.272519343702014,2.834568672738575,1.48113937600663,1.7110320952780935,0.8984077052449198,0.8632500612783595,1.3726406206708157,0.6799045469611653,0.7482040154328999,0.636693347619709,0.6334900986141098,1.1778044729371353,0.6808972531309635,0.5926816439516069,0.5051462489780846,0.6938337471535024,0.5883626438443581,0.44262830065362824,0.573644061735025,0.40575010445930054,0.5966911810364061,0.6153919495940735,0.7718797610317027,0.9353583281492124,0.7204860698099235,0.7935077380607665,0.4844031653151295,0.9597507552459984,0.4107821113387763,0.36705656936901415,0.37383319636464296,0.42400608174253646,0.4132960488235837,0.4091407928787885,0.8248994651836588,0.4574112586872314,0.439645503303562,0.3197592351510479,0.3337752789621832,0.4644068187121783,0.34702195872395264,0.41242370818685853,0.3980379646900606,0.6395212324743412,0.5226456903341677,0.3659591015938502,0.34817072125444626,0.48267250969875414,0.5313505391022945,0.40269151613570164,0.3570657068615326,0.5265177774192743,0.3376752403440087,0.48535860832372574,0.31960459301487004,0.4352877014560864,0.46406914079677997,0.45928562753310037,0.5803701118623013,0.5728413774078568,0.5579983412646138,0.6407046398959076,0.47476350021352814,0.3708294483237778,0.28637365614327726,0.3077441207636592,0.2781896740949918,0.33408048002682056,0.3548422069193054,0.41208415869753684,0.523168271350006,0.3531364038119161,0.37086393306787296,0.3525205804550684,0.34045352169807086,0.24731942704234763,0.25664879489036474,0.34554946800076625,0.47293546614335136,0.4680945422349187,0.4609625634983547,0.4425045057151926,0.5354901337077468,0.5513150766395233,0.5618981179401993,0.509618313879843,0.5355851747280466,0.5812736691201805,0.8019570853925242,0.5308819350019973,0.46063686338688997,0.4056969231803772,0.5890968343327443,0.6595797810721452,0.4617873975296682,0.35648442870283303,0.3721173062467366,0.35929015113251545,0.3317245233555768,0.33263464134974385,0.289012033897524,0.3381050273889825,0.4166450241767031,0.4380487730504362,0.7075333554233156,1.1945693769358832,0.9354214354583035,0.42610098492435755,0.3048117040449398,0.36369498484050866,0.2911888129184029,0.3984049847879663,0.3678791397943745,0.32480103655443,0.39088656752593504,0.3716824265023773,0.4920274953796564,0.5498796106880549,0.6469396130687959,0.8328820707388183,0.8533756294093612,0.7643093496399205,0.6133606057173372,0.5163366054043929,0.48706186810870217,0.429729348482551,0.3620722497504933,0.4086883972084856,0.3727051998449282,0.5405452111902745,0.4117790446682326,0.41287607473245636,0.5805184709599136,0.4393548861211556,0.5187655007833778,0.5690473562675825,0.5575344481058427,0.6399504946481545,0.7273185703559032,0.9428304752839765,1.839890651696595,0.9563159678807718,1.1297885013211384,0.8441843494339899,0.8703150026659731,0.858125288877707,0.7035650377492916,0.7158874747442336,0.6939592870563597,0.6260146015029877,0.6318870236248287,0.6331015509328631,0.5300185956609486,0.4572073801811396,0.46982159231535775,0.535544625901958,0.5064190727269693,0.49428820802839524,0.5548877543875042,0.5654822222278544,0.5811695509192855,0.6155323611492716,0.6864125644469564,0.7590036808047356,0.8037718834748809,0.9283737861021905,1.0083178316035524,0.9009566886878355,1.0672150066366795,0.8548788628810184,0.7475287218521208,0.7968548051498969,0.8184190764698664,1.355611830672127,0.9992464884322245,1.4552649692248052,0.7492550212862824,0.6915388958227995,0.7512342936712422,0.7859873482680856,0.7983556064725872,0.6660656988699714,0.8689141776654743,0.8359899855737882,0.9135352237497121,0.8068894561006383,1.0336214676271556,1.1182653778941642,1.0148629056212692,1.2812390176921014,0.747301299275285,0.6843928471002374,0.6147648887919748,0.6255432782761504,0.6437886455802218,0.7565559459918983,0.6823373096209908,0.6331570645982103,0.602635679154308,0.638452955430024,0.5780191197555192,0.5721603045931113,0.6474048523056596,0.7404417874500716,0.6108254574913077,0.6612453278638124,0.8170828780032011,1.052273765271269,0.7992469848190992,0.7846560152674917,0.7148239819635305,0.6572213442190099,0.5897670243679431,0.6011831268261852,0.6675478611711929,0.6142171432377765,0.6123220058943787,0.6586164881931735,0.7100643670876109,0.6552551868643864,0.7414744428366824,0.9611750662722209,0.8428642991306112,0.9120961647785927,0.916503039061861,1.217555594375879,1.06486179000008,1.0246139549292386,1.3235639987761747,1.3749276842660123,1.1554916269678472,0.9722560243255336,0.8040369163667888,0.6679048948160933,0.9193320269083705,0.9428543314171299,1.1011297494985077,1.2791167452679724,0.8689890171168229,0.6849485287248385,0.5646164766490431,0.5011818403644902,0.44890436414268775,0.4950281282553769,0.44643789525656585,0.7186434592980319,0.5292132354013085,0.41500509978915656,0.4512547546602888,0.8566379432976468,0.36322288189000607,0.6989867834676452,0.7306333815237449,1.4413919883230089,1.4118794709088014,1.9621951846852153],[0.4327358180962401,0.4341450825895774,0.4492098308606813,0.4296138086608393,0.5259675521147877,0.47371626997042904,0.36314435112039467,0.3860329488567451,0.3955356926016699,0.33663495138122124,0.33209139859495523,0.42826543954084006,0.3620260176877504,0.35259983485875107,0.40219952949009596,0.37721433186907244,0.43608688258044714,0.4413467954194557,0.5327230774722526,0.48496713554645626,0.5192796058051422,0.5637283597114391,0.6933667025259016,0.8273731916366844,0.6860895259811159,0.5679920084115974,0.519692557883999,0.42752399446427675,0.44728955303078527,0.38340119112407545,0.4273978973184233,0.3801526661600652,0.44279612837604837,0.45779453772417483,0.40624854389002946,0.4301424211430936,0.4230628292728288,0.4589288521677453,0.4730392985046693,0.5061760013881135,0.8419566510554607,0.6123584901030917,0.6287881240465284,0.8198737377210514,1.3054271061282043,1.9557921203906876,1.909345287281785,1.2337392889221142,2.2029369910726366,2.7036329983093847,1.4075583962133478,1.6790933093021867,0.9086202322502991,0.9238886653168144,1.4364009802751028,0.696344540911906,0.7513541471774937,0.714552093320472,0.6859213082275384,1.178258628071818,0.728203120366312,0.6635111611460494,0.5927552086669075,0.8312163975572144,0.6518846262731759,0.5275594135586569,0.6878912905974893,0.5509974556276622,0.7187328787245515,0.6941643535568235,0.8574435616323001,1.0074199933307144,0.774053436535299,0.9168485431592508,0.5826885000914661,1.0159206090264419,0.5081932270072259,0.4632565007757215,0.462852715156702,0.494094393662703,0.4935504124130716,0.4931929864263893,0.881394695267403,0.49500413807421784,0.5010881761831902,0.42578803211084243,0.4285075564510303,0.5510638451382005,0.44101247415944256,0.491978408184674,0.509848864318441,0.719522609023757,0.5890063126529136,0.44952753230711645,0.4278802570180536,0.5383779406386674,0.5684357948860762,0.4499764493718863,0.42069609503884947,0.6333606268206771,0.4286440263874255,0.536436325728223,0.4022099367429869,0.479661674020052,0.492930543804547,0.49845856919828335,0.6331890673514664,0.5798101102484438,0.5712812193220427,0.6892377797313055,0.5215409494761182,0.42951720542159355,0.3646631632568991,0.38599606995083613,0.38589305224993276,0.4094286923627878,0.4453423207151224,0.5356380663367778,0.6460833808164286,0.45418127162877026,0.4679314612159453,0.44056845539107253,0.4552365238541822,0.3655773047229442,0.34196566026140296,0.4282969915995947,0.5227237234045287,0.5052492721234468,0.4965698246809382,0.47825309477162825,0.5463234273300489,0.5629255712646913,0.5659951947435774,0.5393061737535271,0.552670353781878,0.6093142417331032,0.8036366277659357,0.5483022322813633,0.5124666620278397,0.48978647502555367,0.6957487249818295,0.7780295941048732,0.5958611334175856,0.468895681729909,0.46208265250885766,0.4794002015849577,0.4395205390491302,0.4261181466512887,0.36602063247574174,0.41894600140981675,0.4732977217852218,0.5188044553587527,0.7936792441652292,1.3539345476463067,1.048791553138694,0.5090988319412927,0.3981144785825646,0.4245041113401989,0.37530842706259976,0.4343061822134822,0.42308076030204605,0.42274997304147494,0.46757602355468486,0.4550436587219229,0.5338299713570712,0.5875621458687628,0.671019899965469,0.8567592552802105,0.8636891224082855,0.7811017768358411,0.632945334015249,0.5578412594318692,0.5361576051480053,0.48081223143698254,0.4320031016066464,0.46606081480913425,0.4391244940971833,0.5820861758656098,0.4672654546068623,0.43955593334990467,0.6121093615929638,0.4770776056721169,0.5406352659268889,0.59158047973016,0.583577951466303,0.6587020371464208,0.7505446788047586,0.9228999735623019,1.8469500375083931,0.9707413979547289,1.1632764373030005,0.8663752754257857,0.876965819729137,0.8566403233927179,0.6976252164983637,0.7038188934877015,0.6838195122221107,0.6260307549061175,0.6335257206868691,0.6497376152023422,0.5425614071315824,0.48380766185868895,0.48884185469894625,0.5570481365749725,0.5373083212434066,0.5260890101241494,0.5900443357114048,0.5926047406005421,0.6317593106343184,0.6289395020655121,0.6957199486375722,0.7884294333975934,0.8266400886987678,0.8986591964122355,1.0088219274083612,0.8901365243507411,1.1089319699689506,0.8790515777563466,0.7726733596361152,0.8429144066367056,0.8583894368280008,1.3661139288459003,1.0506373468930719,1.5021889113778606,0.7840110721539992,0.7339187359262217,0.7997598596829892,0.8046705729133451,0.8372156375711725,0.6895559860120256,0.8850594840255255,0.8391760682220076,0.9374007439390166,0.8204564754888232,1.01913307592935,1.1323733451160054,1.0167508883080543,1.2603322943552888,0.7474808348562504,0.6889294127415186,0.6268296255371398,0.6591784497039981,0.6953055479519967,0.8091582799829293,0.7372631305570176,0.7034426874924631,0.6662779462997681,0.7159578107147524,0.6628503351517268,0.6368844844326322,0.737793477796118,0.8379048284545144,0.6835468223312335,0.755067215269618,0.9316145287505522,1.1268019659228836,0.8715174803883494,0.8711565952545864,0.7830411266659013,0.727851373595924,0.6495984987340261,0.651814378255531,0.7278631092670952,0.6537697924799305,0.6436347473893497,0.6994227848824616,0.7427714165937638,0.6776137606846562,0.7661125201846707,0.9857030342663287,0.8516892730156181,0.925295501817921,0.9376514340669364,1.2628486824711271,1.08635650623596,1.0331903571466763,1.2812162415985453,1.3286682896366797,1.2306563907084862,0.986478865734641,0.8111917739249598,0.6498586720733627,0.8862757858170903,0.9852549300928002,1.1351919572141727,1.2768426713994823,0.8698947115759625,0.6928561662677484,0.5819193257906187,0.5324172595012686,0.4797303464604083,0.5124740161538694,0.5009118506329718,0.7879884126542946,0.5610108280318665,0.4677644759285272,0.5417318384421576,0.8943772103724908,0.412324550938338,0.6673542081722293,0.7393779779413298,1.404397133239853,1.3939348351758636,1.9498632965748917],[0.39080185170475673,0.38709072812941875,0.4876754126747896,0.38454068362502547,0.5312048407726296,0.47920777275530485,0.3665990540993969,0.40230414501737577,0.38033120473201015,0.31596986703761315,0.31532501031823346,0.43108655625385855,0.3218228042087854,0.2907059474664286,0.32845507712098115,0.31822563041396396,0.38977545921566675,0.3778408617314291,0.47929338873171645,0.4236586653007447,0.4723450110575653,0.4975956116686237,0.7242345183715683,0.8355584744670506,0.767117187283552,0.5653817487898384,0.49071842078487904,0.38207109659587146,0.3936926576759521,0.33477153829422956,0.37452658732751415,0.3371512882315732,0.3977820574551457,0.39172250862955693,0.36963572003448325,0.38144639722852136,0.3892009159864306,0.41362042595913695,0.42654785137934037,0.4735401094715766,0.8159660772123265,0.5800862302466583,0.6122050045137796,0.8447343617659803,1.3251351318405296,2.0839906756025983,2.086510743952514,1.3583591252248108,2.28713209614385,2.9580485364848395,1.5744504764019802,1.7689912346346512,0.919674887850063,0.8894250055547166,1.374429867168112,0.7138209555023972,0.7649675968069962,0.6625327132522355,0.642897480872808,1.1834859178667432,0.6973407130571289,0.6181734676987553,0.5277000586923037,0.7400085179378523,0.6161083030629276,0.4782290371053352,0.6001958305300679,0.4559936551450604,0.6136349619569159,0.6289384938082124,0.7820385530431279,0.9538849099187557,0.7047421307784353,0.8136264909799081,0.5114712746204619,0.9296887524188734,0.4496290043057932,0.3994837109743075,0.4248634649930996,0.47395345235269065,0.4486359972999933,0.4346766252085129,0.8288525977280948,0.5264512729269293,0.4864350511970761,0.3815803348069258,0.3759020833076465,0.5014995388463505,0.39820814483066697,0.45232872463411716,0.435434855378574,0.6096818833024124,0.5147554811381013,0.3758371256613384,0.36803290048931114,0.48026259959854056,0.521795215414143,0.4265434711854241,0.3971295642556706,0.5946846598219893,0.39881685076807927,0.5600285196932973,0.3992148550495908,0.5134698155278031,0.5582577397708467,0.542475260458795,0.7082674861832361,0.6822564185983948,0.6584242963177623,0.7216618557923519,0.5880211882659225,0.4653232480780981,0.36831289539111,0.365120802626283,0.35148843485279707,0.3827931003493737,0.4085422639009161,0.4677684201181383,0.5881315416868167,0.3980339122449497,0.41997505496778614,0.41604516201954067,0.40866243288066056,0.31678448394800923,0.3155524190770294,0.3983410785205714,0.607652071140084,0.5566278108833642,0.5595951754942032,0.5357039793153203,0.631054904977018,0.6506818540230579,0.6410628838094133,0.5897541704772803,0.5962142742849623,0.6382991528591467,0.8284315131441519,0.5578180929931631,0.4690799561692393,0.4408386412291988,0.5971028155515171,0.6900889877577616,0.5053856407292078,0.4030700566988896,0.4199990229904405,0.42555688359004007,0.4054749143486172,0.3951555266468018,0.365475024112771,0.39242614461873,0.4963863254324354,0.48815263942178644,0.780976500188284,1.1981859148442031,0.954716408638417,0.4876667405735639,0.3872158074225386,0.43293221464433157,0.35576239740588556,0.4619465603785897,0.43373481204223224,0.40426650984995616,0.4602947439608562,0.44549558337291356,0.5531121848204651,0.583394715759587,0.6914901991789003,0.8744702640072017,0.898076244945962,0.7990652002253189,0.6514781861113875,0.5546436120326746,0.5479224040093872,0.494128752087083,0.43552154059730736,0.49247281435651585,0.44409160727600977,0.6049390649399499,0.48372672937787037,0.5015732757760043,0.6292667453485673,0.5291404849422229,0.5966599950701597,0.6514214274190713,0.623533910429421,0.6738922918261344,0.7435725863092228,1.0326538884995937,1.8259397483947284,1.005492862696786,1.1246188374389288,0.8365873328402185,0.8931109333531888,0.8970505657262065,0.7615950218699468,0.792535949097133,0.7582234390441221,0.7345091472701144,0.7479682047548754,0.7449970403826075,0.6698511552021454,0.5706353907697944,0.5836058312924852,0.6543741728633123,0.6181441797075946,0.5841648183338045,0.6324852038222208,0.6622021533230845,0.6604549040918115,0.6571170828519194,0.7262543900477215,0.8243692088765845,0.8521301485746907,0.9688593720615668,1.0604430749853366,0.9304674676380787,1.135747850528174,0.9313577984307753,0.8380717122471486,0.8889671892047274,0.9386032968451213,1.3200859359258428,1.146631871384003,1.4987537207284911,0.8661301918267604,0.8204325403038352,0.8692607162504554,0.8712853300425069,0.9418914041788271,0.8036249173216471,0.9490184359321946,0.9725427491514196,1.0571304619669273,0.9441996590237469,1.1211104157618272,1.3129634582045513,1.14817872773053,1.3523416545513318,0.8813112772659905,0.802718274410015,0.7112157488626869,0.7003252160768751,0.6846027369775352,0.8475177820273613,0.7353088715317837,0.711978652230659,0.6774160549240793,0.6813486320579109,0.6335155147752533,0.6654015998329214,0.7193270430841201,0.8028542026677886,0.6883520782113225,0.7541335600516768,0.887895337244779,1.1170744862131496,0.8787412958483494,0.8851436593842134,0.8033929761091851,0.7525658623673788,0.6909715549186626,0.7070931376769757,0.7715486032358732,0.7110685102180574,0.7241885158802098,0.787243822026428,0.8197561166781201,0.7775684488116874,0.8936142069480368,1.0937316987242356,0.9582284629256631,1.069093449563987,1.087825675501037,1.3674393969047467,1.1865359253092576,1.1289780268329555,1.3616329611173046,1.3767880878974235,1.2640149269921457,1.024151831332793,0.8495745996421321,0.6709182970615792,0.8720118447838403,1.0691263243891085,1.2519131156319143,1.378690943089636,0.971765084686265,0.7793380443320891,0.6850372069677721,0.6019091118089206,0.5938278293961127,0.6003974182220408,0.5510043483223711,0.7241192777519733,0.6347385510739618,0.49367392791916864,0.5294014441814928,0.8779749627343878,0.41586201668725953,0.7436571014274442,0.5848727989133838,1.2211315151908602,1.1491941390077158,1.8439777312749144],[0.38422879659809855,0.38365582804567866,0.4965602588679183,0.390432660105619,0.5456657215138457,0.4763418996635949,0.36552464401475016,0.39731718144335687,0.38677628707333056,0.34065908203471457,0.32870534335670587,0.4142484446030437,0.36501602995997534,0.3417483077942191,0.3861655797647612,0.3642868894855739,0.45623559446936546,0.4589405207550272,0.5887792407773407,0.5239036236657426,0.5635352127395137,0.6128566059114947,0.7836139361334727,0.8884979593030358,0.7624969248883556,0.6321477629654508,0.583880332325945,0.47906002307374956,0.47969650884321247,0.395968518675022,0.4125810635600541,0.36644116802943094,0.4111512238812794,0.42847044968695597,0.4073843130646572,0.4443798147489957,0.43020583520495204,0.5108623060110908,0.5330444209426384,0.5922736627873935,0.9009892085164786,0.6701188467171754,0.7123697502535833,0.9025502550118478,1.4623649327847312,2.1072377867202414,2.1372715435322864,1.3834440526589487,2.1977733220868605,2.862734404533141,1.5378385185047077,1.7310223963560278,0.9584584096497798,0.9686968745066439,1.4243518455018314,0.7736380835191401,0.7964360985947071,0.7682017222302011,0.7353854027417845,1.2321342494879848,0.8155044994355456,0.7030448982961371,0.6046945922875427,0.8512495579189469,0.7138248151874824,0.5582065452699996,0.6791442283541093,0.5633414115461904,0.7396710588779982,0.707552947482452,0.867362789106497,1.0177050521099698,0.7722503953034973,0.9294622813615967,0.5939570347532572,1.0038060807720088,0.5288752446150452,0.4636049576329885,0.4744114395881852,0.5379604527782866,0.520614657915496,0.5300219264500011,0.8531984977118492,0.5919684649421738,0.5598397268000179,0.4590052660854782,0.4729829160234563,0.5569817261633672,0.4516851828204544,0.4818363758169028,0.5111688926378688,0.6887195233164047,0.5706460633893727,0.4190720867578073,0.4033120979579425,0.5100314741033702,0.559430026188254,0.43314197194903914,0.3994749985804109,0.5979044397871317,0.38912057341977613,0.5515980789469608,0.40190556687115886,0.5113635487974976,0.5631595571347597,0.5531719864000516,0.7170294363087987,0.6898703753070102,0.660426854251616,0.7281672588331005,0.5899350201260353,0.48239604102732664,0.3860971055977001,0.4197884901365215,0.41230953733630543,0.45764441442963094,0.48540992866444505,0.5807777653668647,0.7234556750269462,0.48894663186694737,0.5070822607156004,0.4706313417977538,0.4963913481198086,0.4036241073627382,0.36772539446230224,0.45626847469142107,0.6259478723360505,0.5752970200255408,0.5761813084187459,0.5597406615051721,0.6759666595185254,0.6929957158110309,0.6912303236857694,0.6215046175625357,0.6350768681636155,0.6631252475057896,0.8628836967888873,0.616668899933318,0.5493305459254405,0.5380192267998728,0.7150212127437393,0.8213084275933625,0.6443083554229698,0.525007566071418,0.5224274429336391,0.517991924416301,0.49304805030363935,0.44232795882849946,0.40026677173608033,0.4200942004033353,0.49603464131004754,0.48786212584089456,0.78576785422427,1.2576322559215063,0.9813421510565827,0.4830316968530647,0.38339675044882005,0.43814188491904105,0.375476480245607,0.47175002992988224,0.46903598637826466,0.46570788260245033,0.5333807376413964,0.5246419345963401,0.6136538604966669,0.6546585193268794,0.758148804624927,0.9450805012315701,0.9485993731099173,0.8490680030507576,0.7097216088985958,0.6170362462452118,0.599362481392963,0.5462256804704919,0.48778514195347383,0.5168156643862133,0.4625767455063926,0.6102069222036409,0.5179301539063399,0.5162492044473432,0.7018637832376271,0.553543906628376,0.6344627023134859,0.7016054928062392,0.6844273359584093,0.7488156904592742,0.8370577051982664,1.1028382429609862,1.8602953425636335,1.015172044960536,1.1979404002583018,0.8771535697685916,0.9413087705760663,0.9449856727748432,0.8232243789433903,0.8704708274429748,0.8231714217824628,0.7922562073656706,0.800112891659985,0.7769734361258578,0.7051145000112035,0.5912718254683866,0.5984529543216477,0.6874698645516117,0.6443406398180092,0.6018201399364809,0.6645992839263865,0.7077428826223713,0.7076964545720802,0.6867273645282783,0.7572017499840116,0.8842512275774246,0.9031244114833249,0.9942985510470053,1.1178572628414807,0.9717154078049822,1.2232095824710285,1.0008262363201288,0.8946021177018685,0.9682089372152487,1.018113851740455,1.3750014009341143,1.228775290738528,1.498273966251045,0.917845715997625,0.8728766842070252,0.9096350354861479,0.9203508989371201,1.0211184733135303,0.8649404252385565,0.9828631780955711,1.0566348455981591,1.1319032371010203,1.0043412939160747,1.1972535951558523,1.4495524230274834,1.2481784523511397,1.4134306532326901,0.9436401739645832,0.8520835476169628,0.7482364716332673,0.7189340715940158,0.7056479273322465,0.8940737469011706,0.7613683041899861,0.7382253657751143,0.7103898003596876,0.7186208359828069,0.6610045727476671,0.6966139288770342,0.7814970346191649,0.8682039573999828,0.7474995799827139,0.8373413872487081,0.9917734037804901,1.1952733413800356,0.970701228488106,0.9936057605182166,0.8941255297043064,0.8279205355488234,0.7401358513361296,0.7677663094947849,0.8547791889853679,0.7656929170987268,0.7766901082339458,0.8576960594159152,0.8836531168578161,0.8287970864924702,0.9819025517785617,1.1660239132816748,1.033483463511595,1.1635632708014882,1.2092441173272115,1.476387784279447,1.2798931370405617,1.195048647456721,1.4604614711560024,1.415346664399855,1.3545856674262216,1.0551427176769157,0.8732760940465646,0.6942644408003171,0.8631683957959139,1.0756235457042078,1.294584287165883,1.393362560027507,1.0103731178729816,0.7935240966449768,0.7182122684213512,0.6135434462062187,0.5894729696257985,0.5901467121131397,0.5541969243986994,0.7325575438593502,0.6302375320881362,0.5154420449110343,0.5615040771902305,0.8918282384351992,0.43073518055479176,0.7642648494435629,0.5876496833777416,1.201234620492175,1.1854587272434935,1.931885348582095],[0.4049918014866757,0.43443174382009614,0.5035085615887063,0.33413809374942266,0.5322909340395485,0.4617607427847963,0.38699520524740944,0.435038024639249,0.3905978314542108,0.3296889369454734,0.32902859195614154,0.4692808862605787,0.3389811826530507,0.30070777137119864,0.3354089747950681,0.31984556652401386,0.36457804530616983,0.3611009996458671,0.4699020801393767,0.4133067507611072,0.46180663619490897,0.4849476036462746,0.697004782792569,0.8267468279591471,0.7301217131318295,0.5515467696158887,0.45876911616553245,0.3818589459394931,0.3884213696821905,0.33990030163961615,0.3827980784629214,0.36522369406434535,0.4360901265963152,0.3985703867062854,0.37211138378257097,0.3695707947021118,0.3962868796107849,0.38581549342204347,0.4142649957254746,0.4374942962514228,0.7843283280644826,0.5393238792978842,0.5595303421166892,0.7943674297199652,1.2971571866591252,2.0267829951701852,2.0172247796808636,1.2903463506093427,2.2347854640116975,2.8760035687825947,1.507819351420967,1.7242849003465073,0.9031142962565515,0.8860559937098278,1.382181553417373,0.6744297471481265,0.7294152451935565,0.6209972667774396,0.6134838769387604,1.1516107762346053,0.683544321627462,0.6102417052377765,0.5392431442902897,0.7513253619366699,0.598660145294692,0.4630739039245174,0.6075403854772379,0.457073762286181,0.6372189130878149,0.6157145249640213,0.8001187077440215,0.9746013587201815,0.7348916558887721,0.8292524128665583,0.5208731011830333,0.9676633316264709,0.43952624565552373,0.4123010563949774,0.4158106825891369,0.4501927255842946,0.42620822562069666,0.4096621911678842,0.8640529766251468,0.49444112829084597,0.4724066803202609,0.36993106935233205,0.3520731137645992,0.4978543247107896,0.38497314382593617,0.4636813345921125,0.4067166107942319,0.631457870232863,0.5120919756670935,0.3974071885885363,0.38102163157313723,0.5061582118009917,0.5090734070359471,0.45783257447589953,0.4464894657541696,0.6785640420164551,0.44399573131193854,0.5701693561442853,0.41949400775262263,0.5210376748908052,0.5823539301349643,0.5542945878446247,0.7640080586313783,0.696520022589494,0.7030239000254692,0.7755176763087998,0.6195297282735662,0.48654652146815636,0.3740778623013847,0.357598544560323,0.34405614650074684,0.38195052835961396,0.4160175569517558,0.49223467811805743,0.6071022436408166,0.39853060675554064,0.41729250610399476,0.40197440316396893,0.41844366678495026,0.3243467312535909,0.32389001703762815,0.3942057824901622,0.5696863245694833,0.5530781953590446,0.5692715588983583,0.5501046355310241,0.6279705636280752,0.654782830122681,0.6506196159183019,0.611524170793049,0.6042484883489613,0.6544980155858559,0.8245062053736395,0.5648131021911497,0.4865820603966046,0.4556933756404499,0.6503395199937598,0.74021781048748,0.5513049062490951,0.4242149654332222,0.4113616513859746,0.4230676387606074,0.3949664756315684,0.40491665080718886,0.3646922926485094,0.40045005939340994,0.5070181550989131,0.5360360705103121,0.8480884253239496,1.2987802790500191,1.0170807814600602,0.5609557386112491,0.42179397167719046,0.45993352243267244,0.38048383371408745,0.4716609566367854,0.43849933871555463,0.3998765610697521,0.4719982511825493,0.44998039037261095,0.5580011832105959,0.5960233044191026,0.6904936390277165,0.8853545884795178,0.9161457301064845,0.8132568847854343,0.6514914626558563,0.558444278420307,0.5478445270973654,0.4959760789889434,0.4381570072408699,0.49394096732162596,0.43978422624041086,0.6246031564917017,0.4834896820216142,0.5157506245306257,0.6074480659044672,0.5391786102370743,0.5996376438912697,0.6554388849818459,0.6176624213888362,0.6473297154794226,0.7026623456439324,1.0079028475589555,1.7949446783997365,0.9899712372837935,1.1173535350620476,0.8395696998438461,0.9058633624018657,0.9044532143625857,0.7730226145693404,0.787070684995883,0.7451463152503831,0.7326012466726146,0.7508986127840022,0.713359010253949,0.7049998210455899,0.6292914446251847,0.6171632833820677,0.6997322373873307,0.6908829159541318,0.6738753913078199,0.7027296560666817,0.7600584687037408,0.8015468885130808,0.7550313952893264,0.8164383694692589,0.9509322886207181,0.9750822097496231,1.0189165394683826,1.129626303806521,0.9717152628882891,1.2755226970754328,1.0074432969229494,0.9391362247890586,1.0260785391038818,1.0679776809866188,1.4105856694897843,1.2575272844114807,1.5124866361250586,0.9595426160095355,0.9195923390942329,0.94686348544498,0.9353948814114291,1.0447492706601906,0.867733389815165,0.9980461414352825,1.0021919536401391,1.1081274608493032,0.9742462196983765,1.0969973488552787,1.3673993357891188,1.1793074094489764,1.3212348240189034,0.9029317636497867,0.7989109610427656,0.737771330633631,0.751489172359284,0.7599042443845943,0.9935189042233796,0.828430510336131,0.8142207137258799,0.8075258214007195,0.8511458530326264,0.7718737187266737,0.8022352879445229,0.9289096205676701,1.0097320429869217,0.869121831174324,0.9682448118981944,1.142241790982114,1.3084601769651787,1.0757278791177434,1.104092650780644,0.997502161255215,0.9395901740819651,0.8338212261631582,0.8482320989690011,0.9292571953477923,0.8394013218873734,0.8299578256907227,0.9055834746298894,0.9256630125609959,0.8476484210063432,0.9783364774482303,1.1697565940804215,1.0255476884357326,1.1098995016651918,1.148223519293283,1.4398494576497818,1.2389016857775788,1.1771343213944176,1.3747804107835553,1.4049556900068003,1.4145749341794742,1.091185717820554,0.8896905115303902,0.72129726401882,0.964337636692471,1.1668160594621293,1.3325128699497277,1.3927089169290452,0.9900484184069017,0.7751460690097776,0.686786250302207,0.6137791486843384,0.6344208788468334,0.6512651718543745,0.6323140602728804,0.7799893676040636,0.6908970599547732,0.5989787724693839,0.6379938307688342,0.8996113777170798,0.5031257188666896,0.8056209671725335,0.625820306299467,1.1581495762644405,1.2437394738632692,2.1072517413626497],[0.36909437594843747,0.4032084381997835,0.43309765524530724,0.3859918443040393,0.5526976883486711,0.5009205571703611,0.448869116602881,0.484625970830852,0.49190212647947834,0.4777982820607107,0.46748570920454346,0.5171632673009121,0.5027926023679586,0.5069064271407674,0.554742446319683,0.511209667192576,0.5771423011787363,0.5764810988461577,0.6559283476354169,0.6119426122976431,0.6598427815807208,0.6829952440825064,0.8284792277314614,0.9434638140257366,0.7975139964914154,0.7028999079883169,0.6315358199429836,0.5631836054704865,0.5694340524659893,0.5360481288673788,0.5603813190253006,0.5372198264123466,0.5801741636370836,0.5941874501624094,0.5486571428915085,0.5574812837394346,0.5619914561119648,0.5728693385141282,0.5802794802011056,0.5953033630390415,0.8732198581624645,0.6996859425678376,0.7002220068173742,0.8798273643022352,1.3959080914946134,1.9874947111985068,1.9526133480121537,1.2606561838393717,2.204641931383381,2.7065498617351915,1.4396435519578348,1.731760781691688,0.9581398202428961,1.0165047907718452,1.4917518882472978,0.7215747015917393,0.7681367177450633,0.7681737073661756,0.7412272637919817,1.2029752231497985,0.823874866265699,0.7935368218797164,0.7368920984112233,0.9630914536942257,0.771776152533344,0.667720834023076,0.8014502417769854,0.6646668281863438,0.8197270662939015,0.7869914914987454,0.9474473954640062,1.0935796735035337,0.8795389344404737,0.9758725812777193,0.7125995122542128,1.1110171113122393,0.6317715112633296,0.5821552476297939,0.5875962109664106,0.6206916331913059,0.6084816544540157,0.5840910786291004,0.9571824063156582,0.5762812516554505,0.587158200040494,0.5248899724550556,0.5560026517306851,0.6610393994152767,0.5600537806882392,0.6355153811043526,0.6252944754329207,0.7932541806098181,0.6845517410458246,0.5802859434362647,0.5637093381617848,0.6568792006120799,0.6690709259533859,0.5941800887040051,0.5729237212707773,0.7334917832619907,0.5631937952947442,0.6260494303844928,0.534243771071703,0.5818471641968848,0.6018748601177343,0.5666942256834462,0.7214933960442126,0.6560735289040666,0.660060934864471,0.7560020402999161,0.5988472976601722,0.5275963123270053,0.4625586893615198,0.4926009898808009,0.5330736428574168,0.5375256486453239,0.5832142962734008,0.6700365155385667,0.7958354143289788,0.5953101567446296,0.5949772468304658,0.559281989249931,0.5888141146596304,0.5064242029744961,0.48193284754791244,0.5156343860274457,0.5865664144968742,0.5791740001641341,0.5776302794594107,0.5554038002573073,0.6170026997115686,0.6291833102922281,0.6294580912942607,0.6116787750100607,0.603411755414404,0.660378369979085,0.8463943628089239,0.6057259099072826,0.5813198555419548,0.583941049181868,0.789645922558043,0.8718982859951927,0.7023052038080998,0.5818015635946528,0.5780024456801249,0.5842825720809831,0.5491571624877788,0.5478590098538738,0.48596189797053096,0.5255737593229739,0.5497144978577784,0.5981407699800413,0.8760127428654227,1.4224381204756609,1.0989160629945907,0.6110932876885398,0.5261774123832581,0.5303057624500057,0.5062791189082096,0.5544293865749469,0.532070398856093,0.5450463247984911,0.5701079103481225,0.5613171984366728,0.6302356256002573,0.6674032575858532,0.7297955519783528,0.9174788112529222,0.9208420140585778,0.8308069555310211,0.6905796593319453,0.6240677246066817,0.6066518684080273,0.5553297388779732,0.5368792813761047,0.5646965458497709,0.5582941506102697,0.6958880354897103,0.5674185740634519,0.5738313489617849,0.6476595946099286,0.5687135500067674,0.6170247959763382,0.6521647047928991,0.6376109356947036,0.7009181225788981,0.7843323772715093,0.9585532850212161,1.832755443591467,1.0301551712519765,1.2085715240032502,0.8832894344594,0.9157311922510071,0.9046202136518728,0.7678866489250522,0.7752546397150685,0.7411298155023877,0.6862663907983247,0.6853683091754188,0.6764202920169831,0.6016890700103927,0.5350409650525488,0.5389712508702195,0.6096402006517795,0.5936546997135662,0.5862122431613053,0.6298661029653989,0.6658077809866362,0.7212545602440609,0.6827945982355951,0.7438247423955104,0.8747955758802208,0.9081600243992553,0.9349657661963048,1.058060716225519,0.9217075123467385,1.212775299222204,0.9510583526439677,0.8570367304795904,0.9521538687459226,0.9843545466324015,1.3912427208512697,1.1632604143883596,1.5004919263874195,0.8700803593543307,0.8238016242908256,0.8823414252751255,0.8605564979562818,0.9318272052693479,0.7591374200507309,0.9263032258186499,0.8815466234706894,0.9967878278523503,0.8659303295969507,1.0477767679317056,1.2660127540660724,1.1070391403752082,1.3061058513829356,0.8174960261197624,0.7281389777335262,0.6592646704481745,0.6830357991589188,0.7189011200980556,0.91645912674659,0.7978770458324357,0.7637768351174656,0.7458132525955746,0.8219125461121531,0.7513772089348606,0.7394453430831605,0.87116056187404,0.9635864336804346,0.8002901388852922,0.9007092660472936,1.0900736739208678,1.2461460483908005,1.0031504114641108,1.0300845563477035,0.9193822294722778,0.8620936093412528,0.752677523139194,0.7516205826061476,0.8458626971369355,0.7442676225601954,0.7242838038395625,0.8001594837630933,0.8290192825472293,0.7475703358025472,0.8594871426823897,1.069724017019982,0.9344337684260311,1.0215397629724066,1.052871529216083,1.3730920527508337,1.1700471758666813,1.1133507314783924,1.3437919103943157,1.3641080066919191,1.3558025559812485,1.0423795457918263,0.8362348466306972,0.6610033555660003,0.9153643301706285,1.0910612676964924,1.2513831598696163,1.340717648897341,0.919390622832832,0.7209177973204349,0.6336653203142558,0.5984105227995008,0.5547952211463926,0.5920180458942992,0.5734477427169584,0.7998926481527214,0.6382206068961499,0.5353807249118699,0.5984618336629842,0.9028455521139994,0.4522826130861921,0.7001266742416912,0.642166183474198,1.2369756431608154,1.3975754267515497,2.120088733936796],[0.34754026652082415,0.3938490722733639,0.4385069175440075,0.29156009517906517,0.4933378842768653,0.46350379225759136,0.4277797734398328,0.4655658235708027,0.451666315401926,0.4166236079207208,0.42786435445491644,0.5408698987968891,0.41738695269288034,0.3897229867134975,0.4091472473751231,0.3945969914968177,0.40963331595271946,0.41925397649262536,0.49175906754548016,0.45243913535014135,0.48011045640873323,0.47827143191857147,0.6852950951482398,0.8072548768467022,0.7684412582808898,0.56976517651915,0.4478493498840141,0.41910984541310237,0.4299299530515904,0.40425424830319795,0.4671297012356331,0.4509195362181698,0.5231227325349651,0.4790432104533076,0.44939772818521195,0.4279652817096744,0.46323448358718455,0.39556309223092795,0.4073558724898915,0.3968084006678125,0.7244714319067471,0.5036879331952104,0.49589119363498085,0.7519315439568303,1.1764590662779006,1.934844192332789,1.8674138736422945,1.219783025747914,2.2431626535418316,2.8066280973069095,1.4554555609255146,1.7137689846343105,0.9003792010572906,0.888535169198703,1.3988875655882582,0.6447893657586787,0.732504222890312,0.5597825044573411,0.5723084385554313,1.1169630670203348,0.6354694344118815,0.6295928227473451,0.5949210404953,0.7514350715525441,0.5802175792506205,0.5032109653601917,0.6350015251098209,0.49009087375903204,0.6347280206965509,0.6357741528124751,0.8174717201928257,1.0049231496111257,0.7722437268267469,0.8143472996218463,0.5514432847560269,0.9719678821705647,0.48121894892697825,0.4844033513674539,0.4929367495291901,0.485614350563486,0.4428260767502191,0.4251696725069596,0.9162706458746078,0.4870567415786437,0.4663981983431163,0.39523594700429343,0.3698595511339334,0.5505185675624118,0.45434738514958467,0.5381077378136081,0.4655281861894658,0.677713917892157,0.574239251469943,0.47773994116511304,0.46642789483654296,0.582873111747442,0.5828892899741392,0.535114824399569,0.5232660297744677,0.719869509232386,0.5143940078683362,0.6032429059541449,0.47223199143697936,0.5497404704492245,0.589223506634935,0.5505736108450675,0.7560924789904548,0.6404805735999143,0.6600539352771092,0.7724730947929044,0.6050753900771196,0.5039714133682655,0.40965332413816996,0.3937584599512398,0.3988709327152743,0.41107525881190843,0.45302960582964863,0.5177036897299038,0.6000091698508205,0.4574386711242927,0.4679693406096536,0.46077163846683694,0.4560188165729418,0.38645022098877185,0.38624316789651764,0.41540970265438304,0.5448991741256675,0.5585363733930856,0.547232692621576,0.531774968147329,0.5756348244412693,0.6038991595573051,0.6012561401244502,0.5846505382779722,0.5775317499739763,0.6414040812496108,0.7921727980616678,0.5673514396619993,0.514486600699473,0.47191320694648087,0.6771064115941823,0.74652805460956,0.5812914259896235,0.43865272487565493,0.395801952549781,0.4327279735056626,0.41143384766044283,0.441109309295906,0.4024935322952854,0.4448144034353299,0.5255702762157815,0.5662963770155707,0.871211716538049,1.3181291866819824,1.039699383515487,0.5982669418910799,0.47985418099788946,0.49074669212321864,0.4323677141950082,0.5067371236816041,0.4605994577024494,0.42342250045967256,0.49804603612170434,0.46404222042480575,0.554893289203708,0.5869776560761851,0.6442299931186855,0.8191148886305261,0.8570758761098466,0.7707014446794108,0.6134793430287089,0.5637065459866889,0.5493019514022491,0.49848589824657363,0.45030956189321203,0.5182846587682571,0.4745282810198161,0.6675977415894534,0.5115810456798564,0.5353569340022972,0.5617650362176766,0.5408467648416875,0.5775135848207836,0.6134096894051715,0.5771144279141401,0.6047128728965082,0.6372166560305572,0.9253175832809766,1.7672936648373616,0.981169470826741,1.079410420134812,0.8315494882406408,0.8664488930679388,0.8571810075872729,0.7121537297460929,0.702648817372373,0.672603093871794,0.6372642073425921,0.652460458595227,0.6524128966366899,0.6072166500483651,0.5540929184802244,0.5486611086181244,0.6107522215274196,0.610732066863886,0.6082190679533872,0.6334538704427701,0.6686826251437812,0.7345891196352474,0.694592984994492,0.7393665729407346,0.8623859089123587,0.9104151405303319,0.9282558093871903,1.0260056496446064,0.8964199286361655,1.1544032982066257,0.9036080271417534,0.8290793940343768,0.9083030257843506,0.9500284626590698,1.4056953044819689,1.1172290659975266,1.508144922556848,0.8633191890636588,0.8331865385786301,0.8896598068966208,0.8545913592584278,0.9204247011864065,0.7432356222834848,0.9277890233683296,0.8340876619730708,0.9593633497144031,0.8434080373778313,0.9816599448253658,1.2008616271204813,1.0550852979488812,1.2475705791407827,0.7965703952312525,0.7040645408176126,0.6564027007559782,0.6934861742550873,0.7379738675749291,0.9519290095905842,0.8121111047587993,0.7890526121873688,0.7649955346000092,0.8372953014836748,0.7592936692388665,0.761171922682946,0.8863537860394459,0.9755906524732046,0.8181106213524669,0.9043302078700158,1.0792394173225701,1.2440595410938389,0.9898599682963252,1.005033369009647,0.9029001883839546,0.8581592299634759,0.7693004758923526,0.7575671793895092,0.8295229156343912,0.7457454976333956,0.7271908117911956,0.7807996086745546,0.8054979885130099,0.7330568556175965,0.8194161615264103,1.017391860977089,0.9025975241792715,0.9697905230115141,0.9781322741513871,1.3112572273055927,1.119661052290923,1.085962118318121,1.2498971270343044,1.3296251846661125,1.3307713050073686,1.0495315477522826,0.835640403682387,0.6570819085709817,0.9862057028341802,1.1350735669151035,1.258791138961525,1.3349316095852681,0.9044755395059694,0.7156685136912783,0.6172590893155169,0.576560622241155,0.5791379620932989,0.6174324408660696,0.5930488947233852,0.7972925010085692,0.6621726938228543,0.5568263309419144,0.6047024162921619,0.8875624947123645,0.46527679826848956,0.7293712897510046,0.6051954503530823,1.191034672074133,1.2343035481658693,2.030897680931746],[0.3964089357426305,0.406199356273051,0.46057374500139137,0.4295105553469003,0.6611682581331684,0.5753504023112636,0.5287066151384533,0.5294771942077997,0.47507760790929865,0.43925359681952886,0.431835139520374,0.5530172524280373,0.44824586024343815,0.3959583904760769,0.41041949898406493,0.413973261628433,0.4295929700975027,0.42889661018703173,0.4743904643011731,0.47444269756816787,0.4846823848586467,0.47503024634072993,0.6873727808064407,0.7939575663834204,0.7880349200965213,0.5655405877744145,0.471805878663789,0.4541699081677849,0.4660786672179055,0.46074147678823596,0.4754078712249995,0.48684523919286804,0.5429455632409727,0.49441125616418796,0.49151956009782233,0.4659390463187111,0.5366313210345267,0.4480198528224408,0.4726094358626102,0.46313159408457605,0.7152227145335561,0.5156631809107353,0.4863986119084891,0.7440039636353717,1.152707900883148,1.9366065924568363,1.8283414319445739,1.2035783066514407,2.244799150144958,2.7358002480697436,1.417460212735186,1.7221570749530184,0.956169068086461,0.9473758197820031,1.4532893434715757,0.6498285469227641,0.751844243037127,0.553948229052486,0.5762966766143733,1.0865359235541714,0.6374414134072391,0.6495179927411948,0.6243100320197196,0.7289917133686581,0.5809966021485784,0.5320742256059535,0.6437502891465556,0.4954179840769902,0.6269170299172087,0.6250299894346982,0.8173029508117823,0.9907985094832621,0.7873697539107896,0.7904871011918086,0.5506786506223631,0.9474138251251982,0.49787387054497617,0.5065285295928244,0.536729548763097,0.5334124951424768,0.4910819795361756,0.4723592491652853,0.9893172864164473,0.5776988829943864,0.5453543345526991,0.48167711119285833,0.4297847134066606,0.6079914025557381,0.5016334283510268,0.5520254127204873,0.476139287327737,0.6590474143940755,0.5682036544718823,0.4785330734877013,0.4672584582588994,0.5644046355955173,0.562141920908344,0.541644453447053,0.5372365744879932,0.7297969610993746,0.5577738422144608,0.6398869283646014,0.5499066332403476,0.6238036048551496,0.6731906173359047,0.6499812635769997,0.8300537615917383,0.7254300299702638,0.746843061712024,0.894364234647098,0.7115186215873995,0.6225962218347213,0.5131138138213767,0.4920678268145109,0.4624631884163662,0.4458602888701643,0.4803657212486096,0.5226124517877898,0.561101644313115,0.46379400601487897,0.4608138974314822,0.4621401151308913,0.4604818400210018,0.4348604195115845,0.46008141768837846,0.5103368030866079,0.6665674423541802,0.6802523199797081,0.6747689020433311,0.6580767119672557,0.6821414629125084,0.7143046506890866,0.7119617175702152,0.70306730469316,0.6918061626550138,0.7539196367814545,0.8494451547318693,0.675455208192579,0.6108945529517251,0.5580431775332713,0.7060739644606986,0.7574276474658367,0.6057574230616956,0.4863947271418871,0.43802368854472723,0.4979593603902059,0.47584922236008187,0.5249765031745341,0.49654946856404525,0.5135336273739057,0.5930622443061067,0.6121096732246021,0.9092016659022175,1.3378347502777141,1.0609969264454773,0.6333141778812381,0.5247701751951588,0.5511158188301428,0.5012832145354317,0.5929111430774799,0.5705843199966252,0.5123306238778799,0.5984539997358405,0.5525288303067066,0.6501164436635369,0.6693172458584641,0.7110703013685208,0.8522485022062605,0.8956084938300162,0.8188065924093744,0.6947968738404882,0.6708925072193841,0.6621705585971823,0.5977600462314301,0.5412801043236962,0.6190547726250536,0.5564534206872767,0.756524056735851,0.5961199205254348,0.6329797151378317,0.6035243808865561,0.6593829483558675,0.6951204470197935,0.7153861039251942,0.6519003195671015,0.6248449719624231,0.623136291236643,0.8716192117570164,1.712391858622592,1.0103789212403733,1.1537055571928787,0.8660319951925357,0.9434319655249942,0.9337810028926398,0.8080087201929731,0.7693362722936291,0.7637257056602433,0.7313684026926465,0.7537661876777092,0.7432049129521118,0.690787739765902,0.6435515924312074,0.6319510481161752,0.7042189121127801,0.7002574581967294,0.6971777879105983,0.7472400950746184,0.762919239410039,0.7882245880528388,0.7666415707682397,0.819349666402108,0.8775845651468172,0.9035302525712641,0.9472865045011499,1.0071160175547664,0.931374810114353,1.1174074418772009,0.9414973476307806,0.8890165301976095,0.9323594994761251,0.9437793753981368,1.5229008921544074,1.0836017583246564,1.5805693990243792,0.9233684984097289,0.8989049277824168,0.9782883050989699,0.9753252176749501,0.9481191930487124,0.8121603480596082,1.0393318725650849,0.8927218282167609,1.0023623546135674,0.9236005936230215,1.0413137365348288,1.1396042017303514,1.0645660487700637,1.172079824873447,0.8412852886534803,0.7709553569295994,0.7742739421416626,0.824896644665943,0.8563403778153512,1.0028413257302575,0.8929805665336914,0.9007191973614883,0.8325643904719198,0.8823200721905545,0.8391033066641721,0.8241456671631727,0.8970426202894465,0.9738212316929054,0.8294377343209625,0.886506113751825,1.0295418606445756,1.1929375816921721,0.9537468854279024,0.9538822216388064,0.8957207784227612,0.8702109622879496,0.8208302810293591,0.8136400267711227,0.8741642581769083,0.8127511835670157,0.8014802662520492,0.84002522793799,0.8742956171261625,0.804434177761743,0.8600608118004078,1.040736447718468,0.9537986652619574,0.9851905580493837,0.9770132575642508,1.276153503344145,1.1212390742584328,1.1075734254809235,1.2488042643798347,1.3702241285398427,1.317400231597472,1.1065579481608294,0.9392740694926905,0.7896893393226947,1.0931371760316377,1.1468359038472558,1.2220684119059613,1.3295465336714722,0.9419062235308377,0.8108591187724845,0.7218426366204238,0.6909617169180133,0.6177295846264592,0.6796650049742436,0.6761482577233413,0.8766751203883137,0.7144928649379916,0.6189875532766623,0.6271179206239891,0.8867850846890862,0.503836142699849,0.7142083577417055,0.6365053965957186,1.3398333702512304,1.2236572282417453,1.8734541811181187],[0.5009000617713876,0.5111526657876496,0.6955981654025444,0.5442626063401378,0.6737072591135381,0.6514159042434869,0.6809504027970447,0.6719818974047551,0.6753259688958846,0.6486965253838745,0.6394997508016116,0.7058909653316546,0.6638407214527521,0.6391778737480927,0.6325491895465151,0.6488088598978106,0.6646515819354241,0.6511249271310137,0.7167082037499851,0.6956218989825258,0.7528768342600718,0.7453836563748991,0.9291797245953631,1.0284987519545543,1.0461144058575491,0.830045060080706,0.6952912378007683,0.6955048889736919,0.6644441625687556,0.6774399893085425,0.673975759099629,0.6901848540753682,0.7163135572416367,0.7080397369065768,0.6890440156803453,0.662676560932309,0.6837406532686405,0.6466264368891645,0.6674343084357762,0.6469826448835605,0.8818607626944336,0.6965904564044236,0.7108879756138682,0.9365581870097821,1.140913547222361,1.9772440208186708,1.9736429882319024,1.372951002559278,2.3653835778964027,3.041692686183672,1.674554659954258,1.8513538284740536,1.0292377755215019,0.9748333308071594,1.3980770177535022,0.8398301332185636,0.9682336807752833,0.7412359168942229,0.7639636702108663,1.309555067593154,0.8433410490911789,0.9038465433671641,0.8414976098440884,0.911224040752601,0.8078508383251978,0.7704451592904945,0.8024996133923146,0.6682436132188889,0.7761757346614616,0.7766948516216302,0.9407127186744949,1.0729825362126506,0.9511239716181428,0.9044121078387183,0.7811975155561083,1.051277054282988,0.697976162029111,0.7332000148775262,0.7531650733865302,0.7310827818394847,0.6890456420154393,0.6734773614498002,1.0713104052156062,0.7403936974368412,0.717759130733147,0.6570904756392009,0.6684218466235374,0.752603400391796,0.6890499197538976,0.7825416660527522,0.6752527804621734,0.8424430594337499,0.7321245723403316,0.6728848796340148,0.6659468300836998,0.7175366685836263,0.7571837217266811,0.7014512697164806,0.6764236392233022,0.7370969152532777,0.7022602344854165,0.7721879072230722,0.699141964593367,0.7627985226919286,0.8029424811380077,0.7567434598781594,0.9109599491610859,0.8435142324011444,0.8367981568059788,0.9141047437197386,0.7650632361809442,0.7274617226581044,0.6734226769743143,0.6725087999728987,0.6618300762084539,0.7015525597457869,0.7212259890431156,0.7263202078726374,0.7657973531767303,0.6982386318304491,0.7059545901435029,0.7045941127427343,0.6979334739076755,0.6703476923602079,0.6787534287155939,0.693696487100517,0.6707721893420018,0.7780352818773335,0.7559898710735462,0.7441415510310329,0.7317994895332988,0.7346957316251161,0.760489339157132,0.7551059474107291,0.7622545206576824,0.8398312288134094,0.9203565181569915,0.7823302268522391,0.7429887873533007,0.7056724730759508,0.8141008335224645,0.8606864609670577,0.7744421954450879,0.7001953121360597,0.6813357399610837,0.6763869866517737,0.6795317078614164,0.6925592223482794,0.6715372630068083,0.6872569508755844,0.6892758016320242,0.7147950279802087,0.9405108861388634,1.1636560611070559,0.9450668650412282,0.7093323346150431,0.6608600201547479,0.6844861027729063,0.6872688111801807,0.7585205737733023,0.7084635347996011,0.6700394715197092,0.725514734387461,0.6993215644587049,0.7562537129541982,0.7673353119111453,0.7902170832201265,0.940406829580638,0.9843237151545806,0.9164163522086535,0.777281691413648,0.763064151493001,0.7548145971289948,0.7192814624013233,0.7037071570764362,0.7467438400978819,0.7162706967986792,0.8722847547949475,0.7527504862665668,0.8038898173141169,0.71711225358469,0.7509615507531303,0.7545249804266374,0.7586739955295663,0.7456923502818299,0.7524992374433487,0.7683948203595736,1.099826214253778,1.819368289866257,1.193849631134797,1.0742829333331299,1.0012247825098646,1.0087470446922595,0.9739079775820136,0.8324568832334321,0.7980090583824393,0.7761644698130595,0.7462953166105982,0.7422215961189417,0.7269048022536535,0.7170284619426069,0.6878973340940906,0.7044006536158087,0.6910155489653752,0.7085174269245432,0.7314618493800946,0.7150509090600308,0.733403405154285,0.7902878708368839,0.7965484937407271,0.8248782766772106,0.903441918470135,0.9600541079841669,1.0492776306988354,1.0755788656291982,0.9517119985048921,1.1170732559441616,0.9082561123827068,0.8480161108458831,0.9076023244581477,0.9297793297657762,1.403206467643025,1.0652124997766115,1.5160651817307347,0.8908643758843313,0.8651637696093362,0.9472534296968871,0.9177100533918331,0.927512534041355,0.813132845694265,1.0035178255184736,0.891907204752817,1.0014736148536822,0.918068507905316,1.0454689938754378,1.122038481856484,1.0108095052299717,1.2167475993928252,0.8359572570089878,0.7747602985212292,0.7719788199537712,0.803765531018864,0.8382074495959508,0.9865815198968775,0.8992953144474556,0.8782518315619788,0.8209146061502551,0.857095502257415,0.821315640439572,0.8295395059398099,0.889065619915139,0.9760652083998963,0.8603842757280341,0.8972892957663807,1.006566150824624,1.205005229261965,0.9667284070583766,0.9532416466233088,0.8837687986155314,0.8473923536941089,0.8033675819861391,0.7856285425747239,0.8266442417838863,0.7825544118034602,0.7687134698569117,0.8042790323418993,0.8368862363955272,0.7708534518614291,0.8257514201656442,1.0107024902690507,0.8986183775553064,0.9421744647580691,0.9506658712802016,1.2531915294564688,1.086527621920986,1.068287065701869,1.2091121971400796,1.3438649554236548,1.256962550987349,1.051636042530846,0.8684344123815873,0.7241814632666962,1.0010521747909593,1.0998042545000146,1.175261488965718,1.2856826136266664,0.9040259219983525,0.7833104087370326,0.708790376398483,0.7503675053737917,0.7654493969155335,0.7982214951844162,0.7244457786855307,0.8798204262145831,0.8388490314510172,0.6989284841105148,0.6814016522086543,0.9999736807421542,0.6261544856230818,0.8106239435982383,0.7034840348703988,1.2126574761689446,1.0990031174213666,1.7965032925990867],[0.29606146891248497,0.28553833065834144,0.41426090231735907,0.304324335902739,0.4607358297262842,0.4301959234852949,0.38562220929497687,0.4254234433800684,0.40730138654889597,0.355833197700755,0.37902344731398374,0.5243057362688174,0.3834216751216653,0.36467947909474374,0.38414332909965493,0.3711915827067214,0.3736753678240121,0.3713005318937401,0.4347840234905915,0.402497523211891,0.4067798872946674,0.44473322326702147,0.600492920681642,0.7244713828059468,0.7087311711460476,0.4982481728929514,0.41241711462287245,0.3711653805613882,0.389917652374698,0.37317043185550014,0.4132090401088652,0.4133362086756066,0.46070954653586427,0.4527276724506698,0.41459733219473094,0.36995845007522726,0.4133875392352375,0.34984991963283013,0.38713515812359905,0.41413000534605754,0.7417452134140153,0.4940838611763457,0.4745923913345979,0.7748149009742078,1.0598989993054841,1.9765945416190402,1.8576589432617,1.2793965926780533,2.440054039851085,2.97886540685582,1.5717992604702817,1.7771720520086836,0.8832009258606538,0.7965828928168621,1.4052591266711505,0.6735290752334764,0.8120018878700486,0.5597240820041632,0.6608914313402201,1.1165040955120473,0.5778751218949949,0.648653036595284,0.5874554922260786,0.6572741321532064,0.521520873927298,0.4583011024833254,0.5804657031095789,0.4441754195385431,0.5871267866471064,0.599756872973014,0.7981350445555216,0.9484930959076435,0.778119915820325,0.731356552012482,0.5117800853398771,0.8764305996332883,0.43729815360226415,0.4460539290497439,0.44019302814048494,0.4335539804508829,0.46134381629526333,0.47065431170383754,0.9115418821273406,0.5292945765059635,0.4863587346434652,0.4012644692641063,0.3680056603514828,0.5456439236732642,0.39286623012854743,0.5220775363997429,0.40118406958621444,0.6256812750344907,0.49454757874136224,0.4309241381302393,0.4227120571679056,0.5327221918414298,0.545135938889652,0.48145985411171266,0.4627909174610196,0.6297808134216265,0.5013179882285415,0.6086107353123853,0.4739904308159853,0.5538400704695134,0.6177776843164998,0.5619636416303246,0.7629762409012651,0.6585449176223377,0.687016834353965,0.7849490150540365,0.6297205743130365,0.5055047433660683,0.38879740872022506,0.38899919699664226,0.3406008967214326,0.379441094966435,0.43766569930477606,0.4251552192221903,0.4856202007173454,0.40674977658759187,0.399897903785123,0.38353047706808996,0.3707917274781229,0.33152012142611786,0.34826783745763357,0.41864924163079636,0.5431651740145387,0.5418468644256396,0.5689910128931405,0.5474293155896177,0.5639424925952691,0.604825710156257,0.5857973317570973,0.6112309305245623,0.5699418109074578,0.6347468966064252,0.7710035511513508,0.5276881985422299,0.46986141049592567,0.41881615151263735,0.530304258470527,0.562599479044426,0.4728929493919975,0.4029839788782475,0.44465312228996956,0.4020158784024175,0.37896615173860404,0.4078559853940187,0.39231361451824825,0.4332288185423314,0.5172141663496626,0.5094648174630517,0.8330164210804263,1.131264678392336,0.8662661589051595,0.542598128003592,0.44046524898612777,0.4948723405564272,0.42177909924747525,0.516887608635973,0.45149385134340636,0.3977375485593192,0.4407340214242345,0.42108782532631267,0.5565736437182399,0.5176250317415503,0.5828072153742784,0.7148844938445161,0.7758638488506252,0.7010301430767106,0.5690585074965379,0.5281119166747357,0.5376680690651068,0.48742505500211103,0.4574063090968254,0.5220741929358463,0.4694694809283524,0.6842078859637738,0.5075952615612369,0.5685671008845655,0.5539445027359834,0.5440017271440507,0.5834724831323289,0.5938712363045281,0.5674399593616614,0.6045443435692537,0.672404654569252,0.8896314888035597,1.6681821134010626,0.9468501949157524,1.0275632921421691,0.7318452497068215,0.8079229888410191,0.7845253542893474,0.6519879567973921,0.6312770828307719,0.6246314050491683,0.5939111476389627,0.5992396774241993,0.6217323685578782,0.5799696593705965,0.5665741522325083,0.5539307325991828,0.5968324831342462,0.6085934308679084,0.626866016420041,0.6575580176785422,0.6608717641640459,0.7168550975142413,0.6939645099355,0.7202520663078453,0.7760831484425779,0.8260215917651632,0.8428321502559355,0.8868755501343321,0.8384040931360002,0.9868327232946491,0.8251613455458816,0.7710420248824078,0.8160387882284867,0.8274551761588594,1.6122162422770907,0.9949295258128262,1.526867803099644,0.8419382785969786,0.8344803941678887,0.9182665737419071,0.9013269115395116,0.8652521917579462,0.7081320020741347,0.9427158387695551,0.7551626205431582,0.8815088454020821,0.7723622670553292,0.9055000128065197,0.9727398264980441,0.9332288853596942,1.1165078726942528,0.7080787704570569,0.6432661524088158,0.6638024269752841,0.7439579214522154,0.8008464128788443,0.9592929301613556,0.8614875692622014,0.8486127973286403,0.7888433363541449,0.8527971710187284,0.7990319661789581,0.776671730156165,0.84980089336914,0.9282362997660836,0.7773622178179581,0.8144728258199145,0.9542912654408459,1.1295068759079105,0.8637068866405601,0.8484413434950598,0.8077906791301974,0.7797054622281635,0.7549081162612021,0.7386062019902431,0.7784895768624206,0.7245598597348001,0.7102195883846727,0.7375759009319314,0.7701426881321167,0.6932528237947664,0.7353961442300033,0.9100841275214078,0.8373944161984012,0.8424614302861998,0.8184786400452694,1.1073315365536118,0.9791360268638656,0.9853786205553277,1.0824070987265926,1.266963856661569,1.2041547167428375,0.996658271472246,0.8408736612339658,0.701396056020726,1.0645916081684212,1.0360194124405036,1.06770814895856,1.1765586604450011,0.8286872840316296,0.6744574824973812,0.5951913854138248,0.5784536376696926,0.5563241301025824,0.6378338575617029,0.6254253993583588,0.8069429498950347,0.675509443248108,0.574514678049716,0.5757399350727941,0.8810921666037923,0.4502870700290982,0.6750203279034555,0.5969554717708332,1.2514004308914684,1.0746580771800722,1.6689878681396888],[0.3578558991318137,0.21124605686232392,0.32690507945268393,0.27539402275328395,0.300155156442042,0.393686787451243,0.3161119623517655,0.4109312251605087,0.344688138180331,0.31214854527269276,0.3562092898927993,0.5510212340596798,0.35402666365341795,0.33082399691286807,0.36909323698101615,0.3707707759643822,0.36683340916978585,0.36584565697510835,0.3896718502422655,0.4033423769306268,0.3915805509267265,0.4112611079290481,0.5932372035596758,0.6554037440076698,0.6846409955428925,0.46256268587309357,0.40663107223339157,0.36104747362472717,0.3909970214920059,0.39121420390146566,0.420242536682213,0.42930068758260165,0.49184388652122113,0.46122478379712883,0.44829298926787187,0.37585899281232,0.44082578002898043,0.36337287163130494,0.3740055632588673,0.3850207104717915,0.7634407489837725,0.5081189225078233,0.5050796559524832,0.7582309588474844,1.0546801714568286,2.039974203514715,1.8555857553628612,1.3149588827452627,2.5588474411481856,3.000983734612627,1.5934506599100238,1.8233455854467857,0.9135017786137102,0.7519191100183786,1.4390437589375256,0.6987011909742129,0.8244141473342774,0.5670973223046571,0.7086770110383925,1.0894408154004376,0.5979905725316454,0.6443374955264267,0.5970638284026316,0.627878899455967,0.49170888324125434,0.46734876410683185,0.6076404056189662,0.451722220326433,0.5654461977137838,0.5899442938747358,0.7803749703766113,0.9175718054468951,0.7774108976373774,0.6979513260941603,0.5005317397876796,0.7949538790470311,0.43378655854848325,0.44960280035218425,0.43698237648256355,0.4380581081617109,0.475626495738132,0.4822410674703244,0.8863034356921812,0.526785321413421,0.44336808337337463,0.4044145406877317,0.38988097441503233,0.5611552195456542,0.42373455479925326,0.5393830755950612,0.4074021574204498,0.5736658138555683,0.4579595576461866,0.42828647038715734,0.40920324492918353,0.5120043012624805,0.5101381076503126,0.4863925035371935,0.4784443050478291,0.6605180379673349,0.5263745471108822,0.6066797745472308,0.48410729866730495,0.5506877027704027,0.580978514345603,0.5167591012222604,0.7535267932113154,0.5410750900534016,0.5812046807607064,0.7316321676345233,0.544153705435523,0.43064695378695905,0.33186805168756756,0.3447227788384226,0.3346538540941449,0.3577123629770099,0.4339533783232894,0.39798093672353957,0.42257853244932375,0.39204146364303366,0.3803382351664075,0.3595400156426879,0.345939635621117,0.32423466937578294,0.3224769766852487,0.39261548326402584,0.4593627741509617,0.4209690451194679,0.45717468546336154,0.4591727560910631,0.4366401330573158,0.5099313437280318,0.46279323290006164,0.539061694236878,0.47563424652830383,0.5209225481004737,0.7088710273905813,0.43305020158442037,0.43434480744349446,0.37553354188597576,0.47685116693784924,0.4915757142125348,0.4320662912352773,0.3941495725145608,0.48840037386018564,0.397353351328659,0.3691424612536633,0.3792019547835494,0.36134440983795824,0.3934716239591387,0.5155518261698204,0.50608684665099,0.8411523474975687,1.0936144527076086,0.8380892534391535,0.5503406762110078,0.45539114292104943,0.4907511603431783,0.4114195618577103,0.505895400355528,0.4026608197094328,0.3888779735245054,0.39354844171460224,0.3867203542673362,0.5092817360703993,0.44363358082632354,0.5082548371360157,0.618094099483478,0.673204873452861,0.6352025052933715,0.4963629311444038,0.43592306040775436,0.45399459008449156,0.4478906823187155,0.42110696166913236,0.494358964981032,0.4454008975537364,0.712406760414254,0.47621886203326835,0.5633895672438497,0.5690176231551629,0.47832336850355844,0.5071398887238361,0.5207414914901247,0.5131347679124637,0.6247058353100324,0.695371591280276,0.8862810037556524,1.628239376899386,0.8418438593007367,1.0172710842710029,0.610634828688813,0.6651362133747505,0.6435989161366094,0.5142940106682884,0.4833087442992974,0.48188221765519373,0.42693051912289476,0.4257714889367172,0.5190236713379093,0.4122035266483441,0.43305220425290236,0.4198709744118615,0.41260865749112696,0.4394840516387668,0.4686243158767558,0.5362893936688273,0.46142322072161457,0.5729051618250267,0.5017701865732848,0.5166444199298865,0.5978789289410955,0.6768550813812199,0.6651513145862756,0.7023275794641906,0.6723685983173963,0.8102928605016088,0.6659864265695635,0.5777275929470111,0.6215007071597847,0.636113652502419,1.7228424829747166,0.8464699603694983,1.5163367958575633,0.6972681174089346,0.7105449961920228,0.7968490522495045,0.774815737054253,0.6935315195492741,0.507537273093583,0.8264934137648817,0.5809771001866143,0.7286208179436906,0.5895296870789004,0.7853041098380278,0.74191389137344,0.784235776396758,1.0503401419181018,0.5754535059978024,0.5318562486068213,0.532436202564138,0.6296264097979125,0.7189794214041834,0.8992154061866854,0.7912208041559033,0.7578054422280075,0.7019125969285708,0.8169357357947182,0.7410234895060304,0.6743473705112097,0.7897569548491999,0.88491889152048,0.6911969215478926,0.7148197117586447,0.8839191308982168,1.0395250172962986,0.7391895636869565,0.7272388666291574,0.6667300445055693,0.642383902590753,0.6335233901368745,0.6016308864015197,0.6176962298000517,0.5548373420012442,0.5547491366914856,0.539509865752749,0.5670356192463175,0.48294232518257924,0.5173663887360961,0.6883363056558653,0.6382555050377362,0.6381969675522065,0.6012412956267326,0.9194833219626399,0.799821898343037,0.8322264114960626,0.9062059693772073,1.1591451739329826,1.0431041973585211,0.8521647204583165,0.6891468224458037,0.5995419512243265,1.0040427450651432,0.914998112775457,0.9275090616443714,1.0507739776254117,0.7087371016218413,0.5585896850987702,0.4482646737465615,0.4532762479201982,0.43668004269491034,0.5493400884980684,0.5465575559074666,0.8212932264821238,0.598541285419894,0.4771804914938872,0.543675929281221,0.8703986143189667,0.38339377579894635,0.5935990478032196,0.6664734399334594,1.3299202039822626,1.1355853190714766,1.5881045200267396],[0.46805162920709736,0.2860230390782889,0.43808678101692267,0.30122824903111217,0.33874172081169923,0.41518181622906625,0.31864300698962855,0.45284571956596914,0.36669849393413784,0.3240117188406417,0.3762665645389092,0.5488144567204042,0.36352920339098854,0.3310854002184644,0.3972337808304055,0.38282375070436486,0.36741409763578925,0.3810989455337492,0.40220395000912185,0.4022778272070069,0.3832439209116006,0.40822349184245194,0.5441661044066676,0.6497095320639775,0.6282890487923697,0.45590993688748677,0.39345926524108404,0.3499895986364717,0.39289729165797965,0.4080378298647293,0.4484762194187601,0.4619148046777416,0.5210350120682182,0.4931583863823335,0.46391281894747205,0.39980641702639014,0.4434266532942857,0.38563657491215686,0.3707714720764727,0.39237773254723585,0.7742435394875581,0.5081905818286487,0.5168597147124941,0.7421713987143049,1.0092524638353118,1.9422998552939328,1.7260170585052206,1.2387219748632643,2.5262976620389317,2.8754734788612413,1.5163733619754265,1.758636404390488,0.9034365123535509,0.7552675824083818,1.485748782349893,0.7054949073630044,0.814442752167967,0.5973377266317434,0.7375105020004523,1.0641281278661512,0.6029940446805853,0.6575012383390133,0.6172666511947841,0.6616090662350652,0.4930532701285319,0.46994198866927694,0.6298998551108521,0.4753739376217632,0.6245557002885019,0.6141475664203527,0.8290150865490377,0.9905264087446569,0.825191408409895,0.7694910054530225,0.5093513054889574,0.8911776703973011,0.4351064659123843,0.46512508562979626,0.4340273587686968,0.452529816489825,0.5000053450678098,0.496247031650672,0.9063814143444268,0.5426803677449058,0.45941862138869477,0.4176769717403262,0.40422552937394285,0.5576141549236419,0.4225055984437544,0.5607518087772745,0.4262818107616485,0.6241250123330745,0.49106441099356635,0.4755152032352809,0.45426092763755643,0.5568959613763844,0.5385860418518195,0.5159896230567695,0.5176803229680131,0.7136751858397739,0.5504933882756683,0.6291779609480174,0.5114114838686522,0.5773396813515508,0.6006792786513637,0.5314799267054536,0.7953602018851748,0.5263894364739429,0.5724206338686744,0.7559862599966907,0.5330316876123642,0.4328903539180545,0.3576963830537341,0.3565161921315866,0.3348214926058496,0.35912272177868876,0.4068562806878049,0.36965430288126755,0.42762356295332865,0.39499969685004516,0.36280915799264946,0.3363673640355103,0.31573594657625453,0.3008267330037368,0.30918055592615395,0.3758198947051345,0.4389439209599418,0.4150903338998356,0.43728452355175,0.4518087984051734,0.4301061281260012,0.5178010858367506,0.45093849929327556,0.5483246013541141,0.45821426495143214,0.48995521151546156,0.6965084878821711,0.41542658753015865,0.4097739672610495,0.355605006163536,0.474408989730039,0.4887154697566368,0.4290393264943086,0.3758223085749111,0.4576221501338966,0.3885056153668049,0.3615467718952151,0.3823911686765709,0.376434149977396,0.4263429304205411,0.5437549398786697,0.5426638108018091,0.8946075819700038,1.2517431393183054,0.9287846047388761,0.6052943654375256,0.4912518724348995,0.5292853582512366,0.435216639152573,0.5319192081245215,0.404356904198961,0.397208274846232,0.37059586331541533,0.367884631626415,0.49076626585594346,0.4226372921907455,0.49178190363963825,0.5995294028357563,0.6520470078002917,0.6164991811379971,0.4820485156259074,0.4179423345524991,0.43882651791837096,0.4362930677800593,0.4257275362297926,0.5051725960656439,0.4537391583717604,0.7152121398710534,0.4819996948419062,0.5610504299786442,0.5642615765775635,0.4797801933284711,0.49459250976591473,0.5045006027779545,0.505224318261278,0.6381867778065843,0.713197477462047,0.8386376764679353,1.66351235349869,0.8558223704676478,1.0415070661023815,0.6319666251654446,0.6633925999001902,0.6365355389691766,0.5040972582577626,0.4768919190246019,0.47767125419955914,0.43426002828351773,0.44321864046376036,0.5310543383255466,0.4292037271615001,0.45573873994511466,0.4319484587584574,0.43589910574104124,0.4593189670478214,0.4713981779795077,0.5515123507758564,0.496117003289987,0.5788071443839377,0.500804273906345,0.5600332066896113,0.6179768267566165,0.6465951796500541,0.6742583259397212,0.7418731072187887,0.7367190101447939,0.8417393563633748,0.7502827550319854,0.6392215952843964,0.6709010367672535,0.7012235607723146,1.7572347889451447,0.9183950001067579,1.5654424113375645,0.7289786893650617,0.7434801391848564,0.8180469834130739,0.8024576149230516,0.7271425553298518,0.5259721348107534,0.8360043182651391,0.5881283314352526,0.7479547047691584,0.6056893935798455,0.7911771602050605,0.7615029641565899,0.8123906884816359,1.0480742025681702,0.5944562102345217,0.5382161032192195,0.5439733590056341,0.6331460813409641,0.7257664633410392,0.9520283388254253,0.8243934747315101,0.7726465082029419,0.7322623683309369,0.8698756256374337,0.7740763350832651,0.6926857387829103,0.8342520450375345,0.9295988689200122,0.7130491536564983,0.7565024738058591,0.9555819435682472,1.0628214026647884,0.7618927864229347,0.7728856443526385,0.6986256274590987,0.6906815363563388,0.6702137587865774,0.6414034511262386,0.6663225661104941,0.5927527272681499,0.5861320097184581,0.5934979218843245,0.6248526563643048,0.5265873830410814,0.5705365321335562,0.7503340512127349,0.7029443174949964,0.6853012083369413,0.6645913860412692,0.9970037281559224,0.8663697286476657,0.9002491641550545,0.9817069335585176,1.190578764260059,1.1654392216124352,0.9661268854394485,0.7677645421549588,0.6799231042146806,1.0980092799315977,1.004858823406468,1.0186505308536034,1.11237584110481,0.7422491138878611,0.5810131823280679,0.4618967691534199,0.46021290004123044,0.4550701641208328,0.5427173780701515,0.5686930654677698,0.8965664985585001,0.5713133902297487,0.47203243826966357,0.5653076324821426,0.8511875522561008,0.4205136749052532,0.4806972547943103,0.6442832646090462,1.1835396186488527,1.1516382935055984,1.616194612294082],[0.3880373395480784,0.28785457787997454,0.6527902143563663,0.30475096833644827,0.43871746093215575,0.5002469722214313,0.46026884222771114,0.6194643321177395,0.50234354071893,0.4810526564529985,0.5345260161427542,0.7195354092407228,0.5587849173136338,0.4757087833131969,0.5680571205098679,0.5926383425686379,0.537487024468858,0.5530161643543219,0.5239912108087875,0.5718084936833289,0.5274240501259041,0.5550465340205467,0.6881772952043705,0.6941844043661535,0.728413833479814,0.5341783894598018,0.5417576783769787,0.5240361228262106,0.5725719854108126,0.6110362198326232,0.6419129225601258,0.6674711753060772,0.7524539536679374,0.722382670783871,0.6912878517973904,0.6089497167655614,0.6586972259878562,0.5884771995552865,0.564128832034617,0.5761182532664901,0.8314391031916721,0.618683431212925,0.6351448235270433,0.8136625662240827,1.0170661444798268,1.9718594093319801,1.7169339161547097,1.3098869847480206,2.609400997431632,2.9231180831485672,1.5891869374792993,1.8526089531522283,0.9939933316838717,0.8244678919297111,1.567994276940373,0.8594432965148135,0.8922922226106637,0.7272913477443845,0.9075928825370493,1.0913251494732512,0.7163683829044708,0.8069875688353897,0.7914040181960023,0.7651304742523756,0.6065216212406586,0.6168768852365951,0.7406469396353308,0.6282874343215393,0.6871061021032451,0.7088573375914385,0.8858647272565112,1.035320119435351,0.9190835960466778,0.8272971260039952,0.693572191605195,0.9134371253324306,0.6358709303634186,0.6865297313421322,0.6533128082948874,0.6479739482767959,0.720238180869267,0.6908159066472962,1.0762771156648059,0.8017305519109826,0.6324763554532561,0.6292610379460764,0.6276609431634759,0.7637827699018026,0.6439504796755045,0.785880321308958,0.6411547898022719,0.7458617542682711,0.6614923297955317,0.6708069518930628,0.6472210945952703,0.7280483660862337,0.6933122148338507,0.7175011521885244,0.7361991289877724,0.8930905759801548,0.7546606414212094,0.8110119908865546,0.7438847640510318,0.7731303354693996,0.7795581396367945,0.6905743951770532,0.9538103315104011,0.6595144543345688,0.6806114036694411,0.8266054353327498,0.6397167537193592,0.5663957023571596,0.5256741008492473,0.5040020992901367,0.5003266142942138,0.4749957570675025,0.5581471280384246,0.46347448353453863,0.5145982990448407,0.5459055090837672,0.4972673572202216,0.4714508767233034,0.4202528420641745,0.42459889093956105,0.4443053083531445,0.4840852717139851,0.5291340206868924,0.49851207794141256,0.5480154620068112,0.585044464661025,0.5162579278813361,0.6165610994795755,0.5551338105766807,0.6678125998205429,0.575444548562533,0.5726983387753309,0.718699889213049,0.4678419655077159,0.49168378922857636,0.4676537367985621,0.5271870793338963,0.5281685990343269,0.5156402845874483,0.49086588616596627,0.6011889735228051,0.5522890143696662,0.5170220397448376,0.5640519202000117,0.551544375682422,0.5808381063058575,0.6905548430021881,0.719658309196648,1.0124598191988636,1.2020911265226395,0.9687308975349721,0.8006745246697364,0.7077011371871478,0.7189205796593438,0.651699695924441,0.6892701635161869,0.5701822345018824,0.5906342686415706,0.5333214752963032,0.5504272740488269,0.645998098733086,0.5009402276466763,0.5788665051897133,0.6349024139289828,0.6835601832482604,0.6485141466277428,0.5533493200160968,0.5033272860925921,0.5675346936175254,0.6021017679246635,0.6083258312122168,0.691617817412138,0.6522414391180975,0.9225774131507368,0.6832306748168047,0.7731727546755648,0.6965307744286472,0.6371702223319327,0.6448307803384327,0.6320085408778872,0.619732427710181,0.7348503263452415,0.7712618645476259,0.9263575264780752,1.5439563605037891,0.8822407367855859,1.1010637639649197,0.6444166607934619,0.6683513535689621,0.6478279812261558,0.565523341468479,0.5347997637265981,0.5291744926917713,0.4985470239438814,0.48207323096788235,0.5648264877646397,0.4983186331979118,0.5474750134622313,0.5053282760376319,0.4751072343252371,0.5019577486481932,0.5007716374679537,0.5761997096803231,0.4931803945838072,0.5879098321689984,0.4915298367084922,0.5663841063201923,0.5837190358557305,0.5597073972007693,0.7887897332614215,0.746084045610179,0.7395697474705774,0.7820449726293686,0.7358895453080804,0.6249056011079672,0.6483517246477978,0.7134059226051876,1.9941692251036347,0.9208094502050101,1.5999232286992404,0.7554879766917965,0.8234696794564046,0.8950614616123795,0.9070223599726258,0.7683005141700883,0.5735509147819582,0.9058534031564831,0.6173653401604148,0.7579574639156705,0.6372114168495088,0.8474665464364475,0.686132571031603,0.814385207800877,0.993525980179152,0.6182530829676973,0.62495919242048,0.6330438865435691,0.7095326250172264,0.8275587979782973,1.0875381087722102,0.941060007969155,0.8829817047423443,0.8474205179576004,1.0119741132843194,0.9113998579305415,0.7783483999740395,0.9339615051954155,1.0204877901349605,0.740213064052652,0.8094714880699698,1.0119159290000435,1.0216139339019112,0.7425622175448606,0.7783833563514393,0.705446456833293,0.7346839625257474,0.738215752461077,0.7038720602993987,0.6984068041444955,0.6112450388880571,0.6279802086619959,0.6114464070897774,0.6226317876985517,0.5372793779231166,0.5852600754420764,0.7137703630546651,0.6619502052242175,0.6321187772440001,0.6493219250266482,0.9384674548745197,0.8100691256065454,0.8470069393413523,0.921474736479462,1.0872619781752555,1.1434382153675648,0.9302386046642543,0.7455331554939895,0.761076657422167,1.1013113010741495,0.9534014481571208,0.935737971478911,0.9806131820795013,0.7031087984338843,0.5738810054287904,0.5115251825244419,0.5015611822980253,0.507715657218431,0.6272685650615155,0.669354440223997,0.9300527054297145,0.6314185680319099,0.5171794938697225,0.6727813122114661,0.9081453111685364,0.5508745624093966,0.42336487368304143,0.4657767316956864,0.7991827141089121,1.3564611674501443,1.95747338609365],[0.7268059286872629,0.6598549705946897,0.8923721740179227,0.5045552383266731,0.5864014969938314,0.5384345016818947,0.44680695412404586,0.5875743934437867,0.4325180568614366,0.4115315017113798,0.47532372661873845,0.6729218951591303,0.5076241175680716,0.4047904652003615,0.522542909810589,0.5447019017084882,0.4920599358285758,0.5028675085878186,0.4712572736158417,0.5257444955070343,0.4781574735639025,0.5059162375541371,0.633082482143012,0.6580991599527087,0.6734260320928004,0.49312382041675645,0.4982303868715828,0.46646335951025886,0.5111761376844508,0.5715828442966052,0.5938472185497266,0.6428806579922743,0.7448368074600791,0.6980222668981283,0.6726959775771704,0.576329671112787,0.6416053163950306,0.5498572734644461,0.5283713386668283,0.5558505536217669,0.7961157758271069,0.591647589014477,0.5737347720679594,0.7705389171644346,0.9890271022619952,1.8989759386574696,1.6201000167474116,1.2581984530194057,2.5663303539782367,2.808320992627686,1.51848554980751,1.7877674737241784,0.9834413494497682,0.8186549981732388,1.5704627562807394,0.8041033547481539,0.8546477395329876,0.6920866153647841,0.8840725578362567,1.0451073944089437,0.6648340435027629,0.8058748677345162,0.8134913301260304,0.7955913725580231,0.5637509770202382,0.5900265074742929,0.73561711334775,0.5984989127233453,0.6711914890384073,0.6530597702485822,0.8595673505635207,1.0694326739184612,0.8604508788736179,0.7878281094493506,0.623454015376803,0.9081583400113188,0.5828291949840556,0.6699970253996247,0.6282808930154066,0.6203543232196668,0.6753851716819392,0.6809443139358021,1.0754737591980181,0.8255018425556808,0.6330131048483926,0.6069776193331361,0.5916289911344222,0.7812738690989395,0.6098139968665578,0.752543302598325,0.6096858318811669,0.6854881590603149,0.6480527035009861,0.6611869487261531,0.623001639294861,0.7326680835568393,0.6618148918032376,0.713701711702297,0.731777580074341,0.9190045104541967,0.7626585309445045,0.8253334070140751,0.7446138332409517,0.7828584268789468,0.7988506264804242,0.7258581745487828,1.0180849582755422,0.7457514883163834,0.7773780984743645,0.8714842607453092,0.6964463803239951,0.5847847424561177,0.5086351432871629,0.48256598844710874,0.46659173834096046,0.421648418254691,0.4898498753601596,0.4175833826961559,0.4900208260218142,0.4952648620848495,0.45539851246225604,0.41619550596990984,0.3624615696130459,0.36513549716788196,0.3965787436257,0.48081417348651134,0.5558056101418908,0.5532931563360841,0.6215112981462819,0.6480799001097742,0.6347052163112636,0.7205802602384103,0.6578082765984414,0.731050844871184,0.6542994341949778,0.637599891260753,0.8044222998080508,0.5375934075911566,0.49024949243060817,0.4466956020265568,0.523276660981062,0.49952937195116837,0.4695066205453712,0.4427703213473543,0.5372607963733611,0.51485419761106,0.45965122822422877,0.5321030617399165,0.5296496712724802,0.5575763746551694,0.6818127066738103,0.6982316832812961,1.0663767079317987,1.2570913020022383,0.9945170808209395,0.8103152490378973,0.6915206256129293,0.7336297987864548,0.6326382812926521,0.710898086287983,0.5684096445697611,0.5757967762088195,0.5062103561000829,0.5323609067788909,0.6511009113214368,0.5266775506291252,0.6305653717894276,0.7048947308197759,0.7686126153292525,0.7142694318387743,0.6263188716909781,0.5410389882367729,0.5900585422225242,0.5990039418034366,0.6051718320243515,0.701798890477869,0.6579748441944172,0.9606645408494138,0.6891421705317594,0.8061823059398238,0.6903070124482181,0.6669317374747079,0.695526737305633,0.6885090703688488,0.6600161903985299,0.7360550073458938,0.7471112083297117,0.8703340312075335,1.528455127847033,0.9242353213990695,1.1287284532172057,0.6954711297060816,0.7555038751558985,0.7408245565806034,0.6800420618564538,0.670679227733316,0.6852236613891585,0.6685353655602861,0.6677697138410613,0.7191906674135756,0.72176100123293,0.7333800265206132,0.6884356934592261,0.706732697021126,0.754527289847763,0.7290465844025473,0.8006373784263762,0.7812746199836047,0.8289007130679298,0.7614315057229584,0.8669958146473348,0.8717657691670996,0.8246769232771147,1.03478413504102,1.05204590663088,1.0439192682415108,1.0130356566011613,1.0497836466545676,0.9266097731170825,0.9400690446214256,0.9982911549717817,2.1479383350372823,1.1587428446596117,1.6634228504360644,0.9478136687143889,1.010995570092462,1.0680198022556504,1.051750070654477,0.9688973294612144,0.8381921012486726,1.0902741012657737,0.8416304022356192,0.9725498112641026,0.8440105950952145,0.9868107861645217,0.8749920594800793,0.9672768009584705,1.0925329533376762,0.7878522307326091,0.7888169988613472,0.8211086813094758,0.8981335936532643,0.9982903989953849,1.2845533992251883,1.0923839256123082,1.031174079391594,1.04606915679994,1.2411221404599067,1.0869018157733947,0.9676669857425566,1.1363407723448682,1.198213535079778,0.9113421881830123,1.0313519679747962,1.2263193242902506,1.1503023381934132,0.9400725135988386,0.9846228242042511,0.9406576570696228,0.9663964855509427,0.9597434477843816,0.9391013344017995,0.9326875966710526,0.8682042385423959,0.8804451320558345,0.8923602234326908,0.9006349691334654,0.813851418748678,0.8563192579682424,0.9762823823385437,0.911136267727838,0.8616957967625857,0.9107435443844756,1.1376294417001631,1.0214703262223923,1.0852632626989844,1.1984947640400958,1.3069949393790719,1.4630865424297848,1.2215843780467264,1.0090271162322784,1.0138283152892902,1.358155614636894,1.2109903415205656,1.2036276673232313,1.1835528924150382,0.8866404353868519,0.776295668200158,0.6619291128165793,0.617938260939556,0.692128869055532,0.749169335345231,0.8145600150340472,1.017748924379057,0.7180488037488801,0.7224214561085792,0.7961289415812832,0.9155213271528856,0.7107309595016461,0.7321685985674057,0.8263001529642232,1.425335431916412,2.564827648666559,3.535799178896442],[0.4641689219007545,0.3157641209456035,0.6049331767625353,0.296481460914564,0.4039042219394242,0.4564274938964006,0.3664265320986361,0.5345257083615634,0.3811278119379416,0.37722547616746166,0.448201480779928,0.5929325879322869,0.46047901662388985,0.3759988467452753,0.4939005321832199,0.47929774543360204,0.45380421838226565,0.46825650278587494,0.4514399433444121,0.49539177443736826,0.4678187281954683,0.4668705325073866,0.5906009679197847,0.6766867907706123,0.614396218523287,0.4797794286488428,0.457075007311367,0.428635815676922,0.46397396612986164,0.5205005690416648,0.5331014189688258,0.5695146763128663,0.6617275555363227,0.6183506035250502,0.5877462570878276,0.5187226325662421,0.5743512592551772,0.5045224460318911,0.4591887693250054,0.47035601403990135,0.7563445625490789,0.5621748850499588,0.5229695102447098,0.7066654830629031,0.9499725128926193,1.7966839836448525,1.5002786950117923,1.1544681803988857,2.4783735119756436,2.6166681472524647,1.359946020969272,1.695458789564505,0.9376458677147707,0.7942332550558071,1.541749504679193,0.7440455262038712,0.8508550535534272,0.6401834930688992,0.8264113922825209,1.0260370841046578,0.6134474439662012,0.7772084313567338,0.7796918521089666,0.7936054829965379,0.518963177218885,0.5544620675147359,0.7331768410772943,0.5727849373756972,0.6808713959085718,0.6506055784018894,0.8607301530281745,1.0956071647684578,0.8801093292980807,0.8061582120664768,0.583820432909565,0.9449858628877668,0.5130861716125028,0.5867649328867861,0.5569916300535741,0.5614967865358855,0.6114547005987352,0.617934650629835,1.034641044484919,0.7447830289889702,0.5478148509070084,0.5307713234302526,0.5174402211765426,0.7090800916336608,0.5434688344746994,0.6683915689600014,0.5344449415907836,0.6675682184922731,0.5817814790593092,0.5725067767995818,0.5484583353386907,0.6670486521049926,0.6185831258868572,0.6077079805813421,0.6275852372099341,0.8796095899152785,0.6886909540925682,0.7154558580595515,0.6423885556438502,0.6831726150852642,0.6649989220758765,0.6266603923192774,0.9086556990188017,0.582210379013437,0.6021808543388973,0.7710765723895748,0.559224307423883,0.4986182273650815,0.43085877814003265,0.4247389743847529,0.46369848154472154,0.40743040209197384,0.4533829283386669,0.3890168848673601,0.45759731791676267,0.4974902392622828,0.43829611280944686,0.3914955488038426,0.3294485549147735,0.34004200321959344,0.35790907791537163,0.3937143383084443,0.45281233738299426,0.4449156049120815,0.47688806422716046,0.5187830399919765,0.46103959116364035,0.5768226583836381,0.4946983451337618,0.6347187296975058,0.4985098810455182,0.50284192845067,0.6727514434711005,0.4249283074596079,0.4367316665903944,0.3910440739579067,0.5066999776886514,0.4900878799819767,0.4522528617516924,0.3968154923805719,0.47528492181502835,0.46893736612325115,0.4111151970628873,0.473948443441037,0.46302278791612383,0.484063620145726,0.5881769343911895,0.6411894275954769,1.0682181189922142,1.4452556392848652,1.0227003057460933,0.7498342680479273,0.6040636185798888,0.6393154357376852,0.5447561058978879,0.6005076694741763,0.49163809910764894,0.5013771154008233,0.436349948987242,0.4459084299119097,0.5279197283468967,0.41579579121750926,0.48050254762604633,0.5534666738847185,0.6205180362333979,0.5785532635513221,0.4748655337965516,0.44063011171925714,0.4913694941765837,0.49788435406476783,0.5055058940825945,0.5952902219505741,0.5605825220630543,0.8680703529834783,0.5974440931338332,0.6842599926321393,0.5957259167414317,0.5356420059909032,0.5578131608551895,0.5463361401342643,0.5392047406369184,0.6636948692530298,0.6763092565932654,0.7718050935268667,1.5284525601384091,0.8164409180740465,1.1194079447131253,0.5981487072461712,0.6519282819207904,0.6328555600598809,0.5208944615310134,0.48526937821444305,0.4830028900200749,0.4581508897921421,0.4620940532464501,0.5380226139681125,0.4876617155895025,0.5245930895746299,0.46097883355150643,0.4684663947830115,0.5192620795889322,0.499280598461259,0.5837538179167111,0.5292449253327948,0.6149644431490952,0.5253331461806369,0.6067893996555881,0.6336635443601268,0.5971784522753457,0.7725702279859071,0.7962269832364905,0.8012982276993855,0.8162265783854976,0.8066246556373181,0.677161080926331,0.7032262084720874,0.7610467617862906,2.0149258286711187,0.9742549237111607,1.646797557785228,0.7980847636411466,0.8743653436470328,0.9302467479709022,0.9427603357476908,0.7899660881621162,0.6094352199210543,0.9350523664783714,0.6589156441720377,0.7930686311391413,0.652431249823961,0.8510372604208747,0.6881244430747387,0.799456724407522,0.9783807388118043,0.6054960815085172,0.6032330483060707,0.6698176429224899,0.7732493156001738,0.8868306611714667,1.1126122986182883,0.9739720241218252,0.9204750835211477,0.906508956209124,1.0900213608977984,0.939125493910145,0.7822219330147154,0.9620229334797752,1.0238153666016196,0.7386891597426106,0.8565165168526491,1.069711396392897,0.9740351338134107,0.7826887004972444,0.8407152608355141,0.753647237962766,0.7891322598000703,0.7762225074443938,0.7520625010201002,0.7471396346704178,0.6527639270410607,0.6595545352216746,0.6586484471103755,0.667339820454589,0.5633009434155543,0.6166640614096464,0.7526700018342838,0.6965016431073313,0.6538247359603538,0.6750787985771567,0.9853602294566973,0.857237645825863,0.908170621140935,0.9971185957557125,1.1757175360515444,1.2548453995529154,1.023175630161019,0.7965514558873329,0.7710643930626528,1.1662529275465732,1.026827193964052,1.0266832186421406,1.0609980888069812,0.7174866051934937,0.5715378061193617,0.4878606079265224,0.46766414525859196,0.46224783946879106,0.5542348230865031,0.6406200011137069,1.0209775396306002,0.5330430794289905,0.49560830723268595,0.6420584266087208,0.7847593255182559,0.47167196585466215,0.5473477191060815,0.764238547160654,1.2402923786175188,2.4308151171416763,2.9720312342749824],[0.4720264709287083,0.29204014470993556,0.5011540209903032,0.2894306838754674,0.35491677687902845,0.4241249515329467,0.3008263162713101,0.4730410939049777,0.33280498728528096,0.29924590182910676,0.3679062018112154,0.502910621987881,0.35227884441678986,0.31720623842394935,0.4279758915698466,0.393905674356115,0.3669724079467777,0.39866240226640653,0.41350860498744724,0.4056506171559599,0.39597631451773374,0.40410824968717013,0.5509460681497123,0.6616031785415458,0.6001446640737388,0.452701160246103,0.392486019066023,0.36177306625128985,0.3856361884304742,0.4246660260593435,0.4510200644898671,0.4748966116636954,0.5556421632108203,0.5123370566599065,0.4759175572058239,0.4191533253098925,0.455262771081574,0.39377982426943287,0.36618676360027624,0.3706829190805544,0.7522782081296049,0.5073473295014242,0.48470765645390823,0.6871066117130199,0.9411713574600581,1.7936934395942672,1.520048151021983,1.1409655781764514,2.464496857823883,2.6474863124304586,1.3541626151741226,1.6820680922487212,0.8522119194660459,0.7471860990120484,1.4943662756357081,0.6672024282835546,0.7974178962943292,0.5786871627367889,0.7417780555654956,1.0252513360383446,0.5836278006689237,0.7244654883734283,0.6880851236578515,0.7373870033296009,0.4991834901892859,0.5002456417219462,0.6596615574440856,0.48676867768755805,0.6463466335959832,0.6051891169597906,0.8354303761933006,1.0449922106819503,0.8444176579646369,0.7724866410500097,0.5369595027105344,0.9442784107847108,0.4313902560309621,0.4917087365765974,0.4419081719111584,0.4484926102988217,0.49557949578761645,0.49209921262673423,0.9581033341803455,0.6100214984380627,0.4649596035100657,0.41937486234455074,0.41231475547049534,0.5864712800534311,0.44461933562499467,0.583871269828851,0.4440959527606107,0.6451458766802365,0.5236293392868772,0.5038574576219004,0.4767019153075063,0.5880350034551326,0.5507314353875151,0.5258424987585438,0.5428846497567655,0.7780007189172278,0.5748727020756814,0.609312455766792,0.5109293900657044,0.5714928956617018,0.567824109791564,0.5196919982547088,0.7937962003472159,0.5119216143608104,0.5563864181290321,0.7331469649186867,0.5051049825086914,0.41840710218884486,0.3485796866082112,0.3566602095978307,0.38686087759222243,0.349769016429293,0.4102744853009723,0.36119950468337536,0.44398178183990433,0.42884273698854386,0.38741934680719897,0.3440393114695337,0.30363412627835124,0.2898971310535254,0.30682007226842367,0.35187028741085674,0.41342039766209043,0.4115197087640674,0.4176638704055148,0.4411636211319509,0.40150739947168707,0.4919678603511236,0.42993447099374615,0.5561416029449449,0.4472779476118959,0.4794759751198067,0.6696717732103796,0.4000112941330156,0.41404061674597126,0.3566462926016069,0.5056677377531086,0.49489274814376666,0.4289577352078933,0.3667368263573335,0.42369900391612025,0.4045588055780802,0.35352476539969935,0.399599645650219,0.3697806873759635,0.40670335671470614,0.5353284442498888,0.5663620510297696,0.9573716794648569,1.417922608841414,0.9803264477292518,0.6372569529461178,0.509948546480483,0.5336673961739329,0.4380966809792519,0.5215001513265793,0.3940898606175591,0.4043934394934145,0.37391373664670674,0.36408900135074207,0.49253814006498303,0.3984283510091084,0.4620674136462838,0.5647728674412557,0.6251526782793426,0.585787276526375,0.45828876381939143,0.40890169585723307,0.438202248769434,0.41513421312901094,0.4084338954943133,0.48105987638039405,0.4375141870448898,0.7418574126022693,0.47965094940113256,0.5712161617304169,0.5185002131218046,0.4473539311166006,0.4716076000591113,0.468748324483234,0.46737664808113377,0.5878421166475294,0.6396905396850238,0.7385357048147421,1.604835818922434,0.8115772428862061,1.0583581750486253,0.6219964205320209,0.6665673672208791,0.6356310954798037,0.49041641786591483,0.44342082925272314,0.448079173004284,0.41114481042039586,0.413378501179271,0.48967920938262194,0.428025066131437,0.46817813546635884,0.4066006208969927,0.4278892160471988,0.4717158122973193,0.4669844860791235,0.5598955595348445,0.5081534513298097,0.5991578119125489,0.5095167137273234,0.5847367249234475,0.6271937789749561,0.6138361800972884,0.7176070251634593,0.7649752876810957,0.765120457679631,0.8369839770121745,0.7791412141837004,0.6613493487573494,0.6963833753357658,0.7277308576860161,1.8898059113911312,0.9508221684932943,1.6196571519537826,0.7494049755637424,0.7998381050318183,0.8639902231449019,0.865157762682936,0.7444916708938419,0.5537751712309175,0.885707358582519,0.6059821358391158,0.7524942918179226,0.607241398095513,0.8011344937293021,0.6923472734040326,0.7841750243250922,0.9902398223086571,0.5636326128521246,0.5386125169150203,0.5920276578138889,0.7041282879747076,0.8147107402193138,1.0371765188494277,0.9075697977029362,0.8485978248108156,0.822655378528855,0.9863788311135886,0.8649505314963777,0.7365096768188875,0.9045509938622943,0.9826228109230465,0.7205165069244812,0.8124869896786914,1.0309739399433382,1.0093995866291556,0.7803665676294903,0.8172606101757088,0.7386201004160698,0.7462337422966087,0.7221982973310838,0.6926599215002373,0.7101857182430655,0.6250200096698372,0.6204137823178694,0.6232544164560867,0.6464060067130732,0.5304410827703764,0.5778753179061511,0.7484674675903716,0.6924036713053565,0.6448913574148589,0.646427883786699,0.9839923729084524,0.8572396503792785,0.895068766769184,0.9788932353468383,1.1938999291101688,1.2112243955618895,0.9945374266946102,0.7743339960851743,0.7099066608377907,1.1181323989593381,1.0056343987961336,1.018915064785132,1.082875283489385,0.7107500339462074,0.5498032683665651,0.4394960672807469,0.4237232359290706,0.40906775427728626,0.5138464922669318,0.5834157017910926,0.9779850535206936,0.5050661169606636,0.4569255351286096,0.5902572152435456,0.7920406850785506,0.4189067461373178,0.4713775295775034,0.7961928340002994,1.227084426493498,1.8187010896747753,2.2556187765217075],[0.4421391379629953,0.3322449617721849,0.4987145742760739,0.34383066178109123,0.3597964915599415,0.3992769320310717,0.26913782224613303,0.42728732858887153,0.2955119738998753,0.25957851284651234,0.3314673747087012,0.470466926052475,0.3079865080909242,0.2901844651925309,0.41398233208290813,0.3621319227535242,0.3434297333150846,0.38116834778936354,0.4264471884155578,0.39654077878682154,0.4061031972604492,0.4086111275610876,0.5343677025332817,0.697237269383939,0.5546711283387956,0.45448159475440614,0.38416842088497194,0.3322340430862353,0.3561047059171964,0.3828123990365776,0.43670291452056204,0.44150098395076187,0.5383330563069236,0.4886466869997564,0.4393893492846918,0.3872776371666575,0.4158515834855778,0.3612999946538541,0.33458695531232696,0.3378014652623246,0.7581659924486887,0.5128214561008397,0.4877262235441904,0.6940512042959825,0.9664878720716418,1.7533866830771077,1.483502530541562,1.1159525331316689,2.418479814759848,2.5655712904743186,1.3138343792969012,1.6215711139248283,0.8289806202778388,0.7302782565304485,1.4921814324478997,0.6481773444362183,0.783504867694593,0.5854451723151772,0.7252545158226361,1.020749938269131,0.5745951332140457,0.6944139091192904,0.6679007771076005,0.7639423180576692,0.5035042136639349,0.482987017558955,0.6802929736163074,0.4956321355769348,0.6891078273864094,0.6088640894710782,0.8372136222723401,1.0760464909647514,0.8353497389363943,0.8108489807523556,0.5466481455445167,1.0078826637343037,0.4229160160100803,0.48337277230570524,0.4196043269456367,0.4171099234003492,0.46559542221378797,0.48161795079897274,0.962593234214603,0.5509958885235009,0.44006988567665356,0.38246916427032246,0.36813316076593405,0.5676166766581068,0.40677955213827005,0.5520315898015433,0.435302061423084,0.6636333105086644,0.5293070360747594,0.49341078721711346,0.4592150435446653,0.5804079972658399,0.5445373906243965,0.4956711400703253,0.5092603790902698,0.785927519742026,0.5475950682904553,0.5854237891692282,0.47961781413637883,0.5359555842963006,0.5296460933042547,0.47857212558698436,0.7689888955467857,0.4751264940776992,0.527731449514421,0.7074513874313242,0.46507397239044646,0.36820728084976556,0.3025617549627101,0.3261997117485155,0.3452632013729623,0.33205505192420226,0.3826441490695009,0.36101663681453994,0.4689404312489936,0.42458351820374984,0.3819712581034165,0.33734086206504826,0.3098589855617578,0.28411604710515476,0.28735850583119515,0.35165575810453514,0.40374391675104615,0.38959141944036424,0.3854650183927493,0.40078373293520003,0.37982911876263714,0.46297729226966644,0.40518398010115786,0.5205027384162154,0.4248205451137915,0.4607944493730675,0.6875864622116165,0.3912028450172162,0.39914982403078453,0.3506557695508233,0.5238958660074112,0.5270362661096248,0.45071256205654,0.3462978146317369,0.3826202037255509,0.36621945780044246,0.3211853444169987,0.34748841670331115,0.3270828258552376,0.3623774450014184,0.4874201614864991,0.5473500978839405,0.9722968872385437,1.5197133429816847,1.013764881859548,0.6381026743312679,0.4755510353840894,0.4999477848915679,0.4031715392592786,0.476144468472248,0.3535154500105873,0.35660088726238093,0.32687724933710627,0.3186530108069777,0.4518123761317071,0.40208877689014977,0.4645910691271659,0.5871518050544674,0.6432461046869167,0.6058281360104594,0.46161315021191995,0.39613783693269633,0.4089671480949789,0.37413237479518935,0.35261682835581637,0.4336420097960071,0.39880887117820396,0.7089655682788252,0.42747869680094525,0.5067769775148441,0.4814358615569745,0.39620754418389553,0.424602174697651,0.42894044209244275,0.44252802916589407,0.563255328245887,0.6370333180398747,0.7012942425336786,1.6346943383285104,0.8137107396768832,1.0514097435844076,0.6404406956390808,0.6712821120543712,0.642060613944344,0.4834730750023086,0.4395454148522516,0.4427925717875259,0.40677796610656214,0.4125675627203283,0.4809945857486356,0.41589730531409236,0.4568642876837137,0.3948155275563876,0.4258547367051359,0.4667027491708748,0.46333349614579206,0.5500768888280537,0.504221349136568,0.6091595448555931,0.5057052772811375,0.5775341956699023,0.6277695911541069,0.6150937808774628,0.6939690557587402,0.7617344434070373,0.7631011812901223,0.8452370482693425,0.7865344267764064,0.6705449543234102,0.7117751897806245,0.7554230503898134,1.8345763483128097,0.9831469069812294,1.6256393955110455,0.7664184868512842,0.8144802991741478,0.8612383115682046,0.8546914806062729,0.756635560586718,0.5555152794208754,0.8746219311901956,0.5940144677736502,0.755576684133328,0.5969051043001429,0.7766593900981098,0.7297155602056855,0.8015129873687982,0.9978044334792165,0.5534890661111964,0.5236975751276066,0.5737889908900653,0.6967901415796887,0.8166587586971472,1.0443954077045603,0.9137640818906223,0.8496097854047113,0.8408463150317009,1.0132785648462141,0.8741210731292116,0.7479547003801053,0.9391287000085551,1.014749146646755,0.7445406290818607,0.8594151751841255,1.0857993743253587,1.0432092587058344,0.8189760430609424,0.8674736864903108,0.7721272741441567,0.7816632614067944,0.7448740065368058,0.7140160592606093,0.7341938855084583,0.6327236659947247,0.627613163979519,0.632587888488773,0.6497890771321049,0.5314176598723401,0.5850256564753156,0.7656108114416723,0.7000064115800102,0.66690876073667,0.6589151340074664,1.0180135481949264,0.8732668169591398,0.9100416147010265,1.00611472637841,1.2107690563211864,1.2445505676772917,1.0153590654721873,0.7732311822325184,0.6872993114318033,1.1331136085955016,1.0449063288801803,1.072661900625995,1.1257312424936396,0.7248430092711934,0.5511107285686954,0.43687738536620246,0.43075509093860487,0.4132350837195074,0.4871586572166808,0.5647095005502641,0.9733637868112468,0.47488092379489144,0.4534458607248546,0.5891452217474618,0.7522886296208678,0.4264234828156425,0.47167894697041274,0.7773109225040105,1.2376744944447644,2.1039871321929393,2.6939806661903525],[0.47452864622779384,0.3335091702597285,0.41136573506231605,0.37299052411936323,0.39381374447900663,0.44042266747066894,0.319723635423944,0.47603719536117856,0.3881234003092332,0.32462893220458605,0.3623571832519861,0.5060839785175775,0.3553274080710477,0.33392995409689946,0.4513352992177417,0.40121332696424933,0.3881828649489786,0.42410048763007313,0.45135780573861034,0.4355744893179941,0.4528246876804738,0.46595074479302695,0.5785000087684438,0.7644066798247986,0.585822250363458,0.49363538459958145,0.44794676356747404,0.38098623188583586,0.3974249493403369,0.434941515965944,0.4791268181572676,0.4686022050714676,0.5621019749755155,0.4986501128997877,0.4645025117846868,0.4412979805247533,0.450390803867111,0.4139787368786165,0.37197087207478136,0.3785973186707574,0.8062992601508746,0.5684401809396518,0.5523778975789864,0.7222537649717595,0.9433559295530073,1.6299321608971067,1.3714685854773312,1.0805974877063054,2.375878374901413,2.4371668068157764,1.2545436432238446,1.6022688918550232,0.818351595465398,0.7558213080102122,1.4959745531830086,0.671894419761216,0.807217564393291,0.6395908077941653,0.7455319228812756,1.0653307309893498,0.6113995170685239,0.7068109348221036,0.6754366581984093,0.8024806340659194,0.5555929176068386,0.5295047906553947,0.7146330004582561,0.5175501372955723,0.7168215481621938,0.6216969585086545,0.8410138572954232,1.079756670080653,0.8399448444123465,0.8418207433813939,0.5722416142251637,1.0552316981821916,0.45069960000368375,0.5159984705191698,0.4526920714410107,0.45548838283586207,0.4960683524328676,0.5141560191025459,0.998533925700911,0.5575143133370948,0.5123639724515795,0.423261279235956,0.42347746335833336,0.5876360927762527,0.45578100967294116,0.5640934570707254,0.46331353349819265,0.7194739104088258,0.5645880186749875,0.523532238314144,0.49342281007487326,0.5983393722799156,0.5619796797360673,0.5251716594209462,0.5302579988324189,0.7830033487449031,0.5514002690951676,0.57260908647379,0.4865148991103028,0.5266824093685984,0.5168241878603572,0.5051226433435326,0.7306847235845376,0.5008140542850367,0.5592818677677007,0.7324828093650673,0.4852995458054646,0.4059423478948524,0.36630548275891583,0.3990171708588206,0.41358046993967856,0.37044124642568266,0.40790751303747974,0.397782442498925,0.4876163770430443,0.4517196785024992,0.4115253337124292,0.36201233776342556,0.3383885378702335,0.3135067189044324,0.3393986270170511,0.39912992891879795,0.416225255302678,0.4422343047042167,0.4283176499009806,0.4284766485773256,0.4139432962234573,0.4676475784140625,0.4446424055257665,0.528942220483319,0.4819848603464369,0.5168902665874263,0.7401327907593281,0.44114970652789326,0.44660857591494446,0.4088465872059549,0.5711020758798706,0.5848511905473875,0.4886646362229615,0.3925593152720913,0.40389257856739036,0.4040631352751125,0.3679154699986282,0.40249268093901786,0.37846612701222654,0.40954234833918285,0.5053440668435751,0.5777002609286432,0.9392392633836045,1.637278706120462,1.0831737714771645,0.6382816219142584,0.495937105748885,0.507769069804827,0.43410691453356676,0.5084023087236353,0.4009655160526583,0.40446629152010305,0.38079581515887884,0.383210520813719,0.5019114293285019,0.4598647118034704,0.50716691548346,0.637955502913814,0.6946940559270873,0.6544292058947334,0.510179842080686,0.4522541740114913,0.45485000357805894,0.40259140448723446,0.3827335934354639,0.4486376058464861,0.4443934923786921,0.7131897824148978,0.4470848485319847,0.5072192515553959,0.47886061320788076,0.4230016989842274,0.44891377368271157,0.45899111453334696,0.4739866801358291,0.5675276398313704,0.6398020542052675,0.6604147092699478,1.6939971462370698,0.8679556379743173,1.026379580245009,0.7892006009356537,0.7546618431519547,0.7098178069962375,0.5404698259751395,0.4754802893084437,0.4794374417306462,0.4176757616036086,0.42982636421779313,0.49792973434859167,0.4270423358080502,0.45662228353653295,0.4088317202178205,0.43854165868609646,0.46783538164267374,0.47789026108323396,0.5621075564553495,0.5130362855945522,0.5953668026702182,0.5287766656589781,0.5853993142736985,0.6301264659565988,0.6286379810824612,0.700694965754305,0.7607193738897301,0.7602575381602515,0.8554936138527214,0.7782046622231209,0.663109575901291,0.704575994878764,0.736755330741244,1.8698460220515971,0.9112889138311745,1.5647693862317889,0.7283718136635953,0.7731736312806098,0.8338314411579891,0.8372852272348696,0.7281769350864121,0.5312641430752942,0.8422609761834133,0.6015159861710105,0.7437269635291119,0.5802831560894244,0.8060936912278791,0.7397498813144359,0.8164983453910333,1.0698862530010365,0.5568368626752271,0.5306258895641406,0.5726098429478658,0.6850587879865935,0.7874544345150661,0.981864528646204,0.8795416045693016,0.7979844165284188,0.7778938170417327,0.9621677416917261,0.818758461906336,0.7012879548428567,0.8632254601910243,0.9357125102969687,0.6999079330527677,0.7884860815694383,0.9991257503751421,0.981892809845767,0.7720042857809295,0.8032569184184275,0.7261686622586379,0.726093914692812,0.6972763366882062,0.6711722903162467,0.692144761889348,0.6151161231939348,0.6047639369151784,0.6113723310617213,0.6446428368116567,0.5325820970699691,0.5684439992127164,0.755213915700427,0.6992406832523456,0.6703435281817686,0.6500470426451088,1.0220855911537678,0.873627859290306,0.8975873502778778,1.0094903727865678,1.22227395345021,1.185477132820601,0.9725421071913362,0.7764276113934143,0.6578261910613787,1.0541748593355476,0.9789210101391711,1.0148418811224011,1.113314249466676,0.7135294800422186,0.5464658768175228,0.45263685915346447,0.44527893104690136,0.4011880091700966,0.5108984106256662,0.5935787154042048,1.028038711149676,0.5069642945143653,0.4796100501106905,0.6148625818425116,0.7836690804011994,0.436269861860373,0.528036305392026,1.021129760317008,1.465522377245206,1.9229299581493955,2.38488076787996],[0.5388722436040531,0.3919683623008942,0.4109404338857683,0.3933637293028775,0.3854898672872636,0.41057137746488237,0.2469723109138113,0.39446670158264746,0.2767279688861625,0.22994370205941544,0.31028987641604405,0.43282095585114794,0.2661115476215857,0.2680839326240272,0.37960007327702466,0.31670434861788577,0.33928639129104843,0.3711177716230603,0.4250429856277389,0.39349190659180555,0.40627126635092653,0.4044816076370268,0.5356762341890032,0.6884159506146283,0.5443015415632979,0.4447237223849927,0.3773435146222123,0.30318832109437954,0.3369781248332123,0.35920625941255524,0.39499341224190515,0.39462740209749614,0.48618806067615566,0.43489288761362027,0.38626794401447856,0.3614798436081325,0.3741429169300819,0.3480668195232586,0.31788738982990977,0.3259358171293147,0.7532102235213095,0.5252852675964862,0.4989879546199988,0.6761013159662648,1.0095665323650627,1.7421268035319861,1.4827413998923624,1.0928840266890627,2.359866203562413,2.4732443968446596,1.2469147294899976,1.5953802308606044,0.8342418103359961,0.7634149446039046,1.5048509522906144,0.6223322403771385,0.7564422822166171,0.5797104010182487,0.6973045466901783,1.0133377583799863,0.571491183145089,0.6660325115467365,0.6345101492224171,0.7674945882372985,0.506639874027692,0.4608877080867694,0.686072463885109,0.5145697902051422,0.7087826564275334,0.6283885137685677,0.8474821105661599,1.0686427885383842,0.7918243699194378,0.8012458317691245,0.5230049246347837,0.9797742557715282,0.415947240829074,0.43626010161217893,0.39795524225444945,0.40321733390086784,0.4418427721250467,0.4562166003791222,0.944774250233102,0.4640443937110951,0.4214793878660772,0.34827543931147203,0.3382151861577837,0.5137227485226592,0.377634895868991,0.5024619452348632,0.4216744416468108,0.6250921036355317,0.4971042102368004,0.43463684735091107,0.40670279511955376,0.5270585806921725,0.49296862097053656,0.4492380801818091,0.44799521563983774,0.7094395984804847,0.47956994955081184,0.5128625799144495,0.41498949205165764,0.4686226985843491,0.4695717453051589,0.4509575755029251,0.6751732795850452,0.45265306714801434,0.5190563502488013,0.698691839845469,0.4455993853553287,0.34475614356106987,0.2732489265425414,0.3237753354535527,0.34844172205648555,0.30050042925224707,0.351164676211104,0.35266399833239814,0.47267164370674325,0.40376136033610405,0.37810127361573637,0.32360828741477127,0.29918788910176025,0.26175298297975225,0.2769892666536088,0.3433513552481641,0.3830095079260518,0.3979259340353574,0.3875495269900389,0.3768998927103375,0.38010012697740186,0.4363571000935834,0.40182754385439984,0.48036288510178776,0.4233120981557696,0.459404672605198,0.6941617560363601,0.39089731305837366,0.3934892156228134,0.3469608692005693,0.5263686913750899,0.5352414520744082,0.4333249650605186,0.32310663558938296,0.349908122032722,0.35608155762839916,0.28845174860361833,0.3262884629127262,0.29516425292632714,0.3261171004255184,0.4535727191852093,0.5156717937441694,0.8775515955211154,1.5687174480438142,1.061337750839773,0.5722685659758604,0.41030341931733044,0.4403331906337058,0.3460863450953775,0.4412186001169682,0.3326836399521189,0.32827359617038043,0.3154325832800751,0.2984304318815445,0.4358692704342525,0.4041316324496403,0.46094825376084114,0.5913783351050632,0.6489438908659781,0.6056669579670902,0.45555382284143664,0.3949656097970677,0.3975036602763148,0.33729859012963076,0.3046333112289727,0.3931943131835987,0.3626475254428951,0.649967001986912,0.3819132765119841,0.45042953398791685,0.44799883435725885,0.36053434567588166,0.3924042892819246,0.40379166752725615,0.4151540141945153,0.5454103633010177,0.6186528490784111,0.6717904164337798,1.6577361948157692,0.8058956672035318,1.0709929147634938,0.6921591435759492,0.7096623614734379,0.673515967376421,0.5099430199530711,0.4558815864994031,0.46354970236997767,0.4030505336339809,0.4264151445411487,0.48093514455449365,0.4175449396727194,0.43716447178634976,0.39349905422514575,0.44025051293236156,0.4688745301695419,0.48374347996885136,0.5712479622761372,0.5259805617700838,0.5923341574051905,0.5481779375067338,0.6024552356794731,0.6410237917708733,0.6521831480390359,0.729309187555357,0.7694868789533073,0.7779619378504133,0.8593315488854981,0.786091954566415,0.6745281578719573,0.7097965897364579,0.7432008943090668,1.871712594431666,0.8863052904999476,1.5207559319180355,0.7063419355533739,0.7449718739218679,0.8052192210432366,0.80591151478305,0.7115375761931048,0.5239293783400226,0.8236793504426381,0.601205589810075,0.7462472646977559,0.5725484599227909,0.7976500458830083,0.7417127009538214,0.8154683690401301,1.073020324608632,0.5495792163885789,0.5059063085629367,0.5501656661448922,0.6683265339437325,0.7593009808050037,0.929667909304128,0.8386945553426955,0.7638171368849782,0.7297502797139654,0.8955091659377712,0.7732941733117664,0.6696089729847414,0.8200329115021354,0.8966703386645267,0.6822949611494343,0.7565332792657383,0.955221780721335,0.9752608085765402,0.7624781280913724,0.7791912092491758,0.7132606610556724,0.6998887912678804,0.6691911343217287,0.6483256595458355,0.6727566809552264,0.6156109512671109,0.5979145151027238,0.6106337898500335,0.6512171081908327,0.5382104149773874,0.5657906520759908,0.7598109294376801,0.7057288543159268,0.673387713258214,0.654108448500769,1.0182210414254231,0.8683835589604815,0.8959873934693802,1.0152529849700223,1.235010687885492,1.1413954411255172,0.9575647364564692,0.7853714579629221,0.6642255987970596,1.040282618555904,0.9577734164218328,0.9915252370093406,1.1039632177814043,0.7136253258946178,0.5496528399028224,0.44260459067586916,0.43263490058318543,0.39453898386819397,0.48808972359456865,0.5708687606242092,0.9968021416557986,0.4920813912082279,0.47381378125291884,0.6057697546365421,0.7942970588187244,0.43178921596462533,0.5489634746042354,1.0719145261315821,1.5875337644186824,1.764229667041087,2.1704278573685145],[0.46259118041450764,0.38868112213298556,0.37393596689204767,0.44342698483736465,0.4083383816535728,0.3993249497605539,0.271836813311433,0.38188946532808865,0.3597554171640693,0.27284010058454344,0.30974500882947387,0.41299380730773594,0.3009772115591729,0.2943390507003103,0.3892106690069816,0.33665895054370854,0.3608559106455084,0.38744599845839295,0.4574426121119417,0.42324860181621143,0.44685067051958005,0.4620168174949563,0.5774331910414607,0.7686588549062494,0.5910650241336066,0.5116323245893379,0.42838356980666775,0.366013846104531,0.37566269693663157,0.3876504527280764,0.4181085389964832,0.3849161901253472,0.4858513916533872,0.42681173541339135,0.38922081879080533,0.39354889787282005,0.39055197382920703,0.3749816307312127,0.36198300378326514,0.3633224461864761,0.7891326468310146,0.5519934096423761,0.5401831105033512,0.7065748401122406,1.013877523727158,1.6286890854133553,1.4097846887884224,1.0672867265375925,2.286347931165991,2.365531728145853,1.2016158587773274,1.5597962175730142,0.8316896706806558,0.7970296510398461,1.4957351915967498,0.6363368030060162,0.7479349140374584,0.6214620681602805,0.6978611953597635,1.0656172392326173,0.6222756891221674,0.661665982232305,0.6111118402331792,0.7934982555939402,0.5599775066359914,0.48529156275924207,0.675812820179499,0.5019230062342802,0.7274323708410974,0.620325248615347,0.8495290912940333,1.0463904155187242,0.8021417530912549,0.8479831860419449,0.5439367225709532,1.0256052877335293,0.4255697369151999,0.4446926132678669,0.41279237116499207,0.4285258713231374,0.444392095250109,0.4558666653263451,0.9806303269928581,0.48867558684477935,0.4597815187397241,0.37360728318321024,0.3740821907566159,0.5295283265964065,0.403172610682872,0.5014683344965647,0.4382778695591533,0.6848958186521975,0.5364011126910739,0.43325908453050915,0.40687121780589036,0.5251482232120942,0.510129425972346,0.4449593150807606,0.4465959583869281,0.7045636151841491,0.4735260626923902,0.5164535705461667,0.40715318426965025,0.47091828763053856,0.4646130606636485,0.4553750797495899,0.611203806779622,0.44546526430726313,0.4962021814335626,0.6630996377304432,0.405555863954602,0.35858825027277386,0.31800567239965716,0.36890136260959633,0.38423843766898985,0.38317833261134737,0.4055566111828003,0.4299293288367771,0.5285462720220326,0.4457435651773172,0.4085097687585178,0.3649305583300008,0.3681812932933669,0.3228332293770347,0.33599888558939,0.3792702877652895,0.3953015982486665,0.40603918521964827,0.3724785935641122,0.3707262495953722,0.36007831284091957,0.4010808227683906,0.3980914560261183,0.46416799260958996,0.43165994277818176,0.47248982010883134,0.7024887546243401,0.42671229434989305,0.4335182921315927,0.41548649683541733,0.5959788027398079,0.6214852443240673,0.5227840029885767,0.40104017366576195,0.3910617239159175,0.3851282180374117,0.34774971927982057,0.3576007962020593,0.33077845593980476,0.37151148825056685,0.4623890060095882,0.5499345992589606,0.8404670047626676,1.621901528810304,1.129888903011051,0.5629014634635641,0.4085201910713835,0.4378271325088634,0.3639820675893277,0.44791521354062774,0.3602403226578509,0.3539412426156506,0.362529674770549,0.344128379557266,0.4503185980235885,0.45270397681461144,0.4777786261581098,0.6222274322707804,0.6590600619763054,0.6196305785536405,0.4736265171428406,0.433799285860807,0.4158066416271605,0.36198952169237936,0.33045335947428667,0.4124771655024686,0.4005882347736941,0.652240022371035,0.4124178009669975,0.43795424301422387,0.4859550184169177,0.37841815608171725,0.39839858279717544,0.40549174018772194,0.4364713813340946,0.5382245111012393,0.618829412966697,0.6733658969947257,1.7401641623867579,0.8514579659697428,1.0267129989557504,0.8478553672479526,0.7632788183255103,0.7087860836322407,0.5142501081551483,0.43770480529431344,0.4454821844906305,0.37392367708097984,0.3966057361888598,0.4698592328569722,0.37572074942244704,0.3993099204369991,0.36252050931463636,0.39542184733652985,0.4194723316224858,0.4492808813931161,0.5125628769448348,0.46626771364028935,0.5419963885268777,0.5186396530652552,0.5740039868532171,0.6158357232954035,0.6421192426908693,0.7191861586833289,0.7645018710423861,0.7507259818847759,0.8637818120068445,0.7403943507902238,0.6325805018657479,0.6564168131780779,0.6695328961862518,1.7422324506558262,0.8490322349818256,1.5236632510666697,0.6574666460694385,0.6661585558611746,0.7454462741595932,0.7587640325305097,0.6225909198103832,0.4637118249904643,0.7982644323027134,0.5970681250071024,0.7150157295648536,0.5359156178051088,0.8058570445102079,0.7261686195264839,0.7888544838250974,1.1008089184810013,0.4994965507192093,0.47485743539609604,0.5252879171061199,0.6586470801483719,0.7489837906053768,0.8697213936240304,0.8008904405277739,0.7269716905570693,0.6725542523798802,0.8304171672465025,0.7115772101481761,0.617341409922499,0.7537481875028084,0.8315189519435425,0.6255453830739578,0.6893187749324928,0.8850623585632643,0.9445462637505257,0.7244104715466159,0.7312992936538822,0.6529678871779443,0.6254393200321837,0.594057693144281,0.5691678112115052,0.5972449610602132,0.5512026468649139,0.535744430830489,0.5371899544361788,0.5873725436365226,0.48028447123698187,0.5031519210569758,0.7221391657437829,0.6553562702521409,0.6335798800541791,0.6205484949616056,0.9897518931436008,0.8484349615482557,0.8596666058334504,1.0475563556046121,1.2418090072166357,1.0617469815898293,0.8953173185218826,0.7444643452828827,0.6065777343400379,0.9651578710539455,0.8669041875297889,0.9218278442399023,1.058010823821072,0.6662351557651363,0.521529353581855,0.40736093025312226,0.41566892068989647,0.36360771863831814,0.43768629576905776,0.4974630189671149,0.9959200938515156,0.4477843371719334,0.42991879959103796,0.569765755374615,0.76958571543315,0.43097621026034505,0.564313114875691,1.2071798670976368,1.79427281412745,1.9421635747466868,2.4194485884538115],[0.432138731658021,0.38339587703316863,0.3713450231026541,0.4362248610999174,0.40727527809895486,0.33314302587373895,0.19545848288898565,0.2899071912078539,0.33878580675635334,0.2606996930138323,0.3008680576160905,0.39762015443867205,0.2805873901518569,0.3007126959380633,0.38484987392663056,0.3363053330877318,0.3684595638865543,0.3925892034286715,0.4750822840491031,0.4312652208067495,0.4739814782459946,0.5086264328980915,0.6065657814590103,0.7970874980579341,0.5889422228729553,0.520615649152413,0.43919859238046405,0.3375973507582988,0.3702777116280073,0.3539202479406016,0.40725185853955664,0.3701046429348645,0.46217927621097615,0.42027902604572437,0.36612299336415693,0.3778259281601842,0.35243173491659957,0.37274972906199966,0.3618753226169065,0.38363930630148857,0.820562503916732,0.5741470422556779,0.5855417424576185,0.7304849503935844,1.1034514329054705,1.7166386643662106,1.5404244912422413,1.08109541313114,2.241201715421693,2.3884309481607455,1.2269726791559201,1.5478964528916175,0.834558777653752,0.8261060230529,1.465004488128844,0.639100616922127,0.7458405728422984,0.6706867555865882,0.7026282197716136,1.1266510868273647,0.6843527006036706,0.6549679480669612,0.5908408308562519,0.8037567650275838,0.6002051587466717,0.5066859580630644,0.6845195293261896,0.5224359961430964,0.7445806903798579,0.6720226313498983,0.852277617618557,1.0156089684173841,0.8050939921805333,0.8748196547513215,0.5679894491705864,1.074672830089971,0.4589261868048464,0.4537399200112964,0.41533196043068216,0.43910304402275513,0.43307188950148773,0.4654923117036758,0.9257054873564351,0.3935243273901999,0.4455585005004656,0.34065277552643247,0.3672030911712238,0.4967100833678981,0.39947001877736343,0.49334864373361,0.45955247661096366,0.72489879912104,0.5553456140253705,0.4420852195255859,0.41095378488955453,0.5382149111836251,0.5318913586287517,0.4398640055601103,0.41591555163738103,0.6496348962341273,0.42214826389280513,0.4592440634869661,0.34970062972905347,0.4110009531063974,0.3944211741027711,0.38785337685306553,0.5137811010732013,0.38643721743205534,0.42215697508122757,0.6102685363455291,0.3344292117446553,0.27286705121132643,0.2312983849609932,0.27755922551066137,0.2932208769876141,0.318603631932641,0.3706030531106808,0.4081927975643048,0.5421760395708427,0.42724919650444726,0.41237998100977036,0.3466941571488111,0.32844626745763483,0.26247439016264706,0.2580640753381192,0.3173762206932717,0.31776547793591553,0.3255972915633178,0.3024911858014846,0.3043035979785232,0.30704005034933407,0.33998845425165297,0.34314531895121103,0.3865193044405447,0.3629963491217549,0.4195707493390021,0.6746550423607628,0.3841465494258996,0.3843016265026346,0.3646705498361377,0.5810659657132271,0.6203610800554848,0.5034852393157793,0.36671321712880645,0.3557720229020531,0.3617620695684239,0.30766233494833434,0.29676879151617,0.26430011574985735,0.3361712156503323,0.39957286204635695,0.5057243844939326,0.7606360158254327,1.5489736928559792,1.1204243272767205,0.4992900138259069,0.3460856614062631,0.37836816355985947,0.30678223071825933,0.37508809173714547,0.3055064559870499,0.29508055684758766,0.311706424183965,0.30184045602483267,0.3964786682139185,0.4304540883072219,0.4694840293517282,0.6328398172541998,0.6493509102059667,0.5980140669125579,0.44259855242841795,0.3900420303296514,0.3656782961448191,0.3103712664889158,0.2842136555238406,0.36137424076509156,0.3650074440988673,0.5668820158150727,0.3708714653579913,0.35455006861538557,0.4779158244791602,0.3066073828476732,0.3450906506789755,0.3670708977837922,0.4075666678004805,0.556028017167252,0.6671284312232907,0.6922855821136368,1.7822892107961499,0.8614904432533635,1.0546537582138795,0.8430610310270191,0.7411051182686954,0.6886402450315395,0.49397440891195227,0.42807929397923594,0.428660980619372,0.35492626634930513,0.3951508905556863,0.4712723196748135,0.35821899822165815,0.3593685035383042,0.33434185112402737,0.3929632705635548,0.40416891935716903,0.43286764877218364,0.5083590800215843,0.47963325324551737,0.5354510510803338,0.5368598176196534,0.6104798099720571,0.6620615640259531,0.6920469087293173,0.7793145367269942,0.8491609183251769,0.8012100495733434,0.9351568248326227,0.7728698561777071,0.6636439279812202,0.6994745485711145,0.6978735240278189,1.6363932087603963,0.8713218976837352,1.5085148927034826,0.6451077853151569,0.608912105697362,0.6897731733199908,0.7153174484959487,0.6160095432554497,0.4619703951724722,0.7651259212579614,0.6111408468494711,0.7242806509284139,0.5484863085637959,0.8428892267918993,0.8027150962412662,0.809785462634148,1.1217399825154735,0.5061824537527155,0.46297161015049537,0.48198064266468804,0.6035626955289718,0.681922241272488,0.7919141313656726,0.733597057979366,0.6592469890155759,0.6106999949621189,0.7492754702916529,0.6285403572552689,0.5659981465933835,0.7021285967444721,0.7911406119963673,0.5985263616088426,0.6541136607020898,0.8533129356248143,0.9705805338825058,0.7375789657400355,0.7378961437138138,0.6593448842340315,0.6085819847497146,0.5509283807280797,0.5351221358546828,0.5913105338220295,0.5466171462152641,0.518289043560741,0.5436039317252512,0.6063043027616131,0.4891964287941952,0.5253316600895896,0.7684866525037055,0.697425292685995,0.6776573015835661,0.6647982547809775,1.0351568742303028,0.8944257563985887,0.895048404202514,1.1349214013579618,1.2989984063330033,1.0805455784211853,0.9180010255776464,0.76112439679492,0.6128347009599292,0.9541200397836804,0.8591414622665814,0.9382456117895469,1.0854523442558544,0.6876727751457411,0.5145553857416018,0.38054343908940835,0.37530391918941236,0.3257008861044961,0.3850687858022651,0.41894877880963294,0.9183584845923297,0.40626270808978376,0.37552068521566917,0.48089351142531933,0.7610406227109682,0.37857423178104765,0.5432923326232635,1.1340399533228926,1.808508563120076,1.909077050433837,2.4193738689977566],[0.45884196210163686,0.4312841832712957,0.4747417568044883,0.5223659863224144,0.47811825098058947,0.3989783407865666,0.30200062787704285,0.33960326478730174,0.3612407591630609,0.3090440595919475,0.2931274990497242,0.3945379676616228,0.3124986655495348,0.31115338724967295,0.3768064625601551,0.3339944195607216,0.3788229059272181,0.3930881517060293,0.4696993507690063,0.4373825494627426,0.47440468406743835,0.5136273761899646,0.6217037696656339,0.8070099938727869,0.6017081956684219,0.5304038392154449,0.46242173980756635,0.35885881969941447,0.3839474080873605,0.3619405205359549,0.4009090143596181,0.369058658519422,0.4434004426225448,0.41490080568088616,0.36316655479505006,0.37936928584582524,0.37295525694019604,0.41009609639969663,0.3903865618021476,0.42847446843631765,0.855122187806845,0.6083741296698114,0.6209086495700934,0.7629333183716621,1.11426904457247,1.7112070495060059,1.5328962752898563,1.0919920812651667,2.2380113402569357,2.3503892328553806,1.2331737947769754,1.5638169423044344,0.8521820767033648,0.8450078638471863,1.4579120249877642,0.6492925992951619,0.7590791662978308,0.6909126071747039,0.7044935180855454,1.153347456480573,0.6948765088036591,0.6551245644080305,0.5815217548240617,0.7810726398598505,0.5975635657883505,0.5088171172679582,0.6782241508210157,0.496685844851384,0.6974827635423104,0.6527155318619032,0.8188372640807425,0.9710737357837647,0.7606205962043174,0.8291597637022063,0.5556538959488276,1.0521276212327553,0.44626306757867784,0.44919430144765465,0.42281412875003466,0.45522228679580884,0.44130127908393085,0.49140414665391785,0.9215036004604108,0.41242478808827215,0.4971444266372689,0.3687987723054502,0.39164879777527567,0.5125193567265091,0.40593668187587106,0.4631309726997152,0.45181721134982816,0.7139550953738105,0.5511877067226294,0.419857635099096,0.3921742039960236,0.5074814050250278,0.5339173189920158,0.44260280739589714,0.41115968631108507,0.6109080361088001,0.4088818950350862,0.4735528770698367,0.3845346741724425,0.43678209853292194,0.4062679343425422,0.4273323290880485,0.5141069070869796,0.413694135833074,0.44158805025343806,0.6057833364600044,0.36769583888024204,0.3378427363309498,0.3233360515677433,0.33139519089526037,0.32294546423412696,0.355541501296999,0.39232668268869936,0.4300673106888249,0.5410343340851479,0.43122264436225816,0.42131014187678706,0.3660036423318073,0.3505237985834272,0.31755572163653456,0.297918715292906,0.3499074459762775,0.3788706764632904,0.3507114894637569,0.3446738252128177,0.3510600255157352,0.3347543762170122,0.34807474275052425,0.35724630084845677,0.4060297977726312,0.38832285186514626,0.43679133752371474,0.6467698943838509,0.3938363232827495,0.4030449179702426,0.401754806368391,0.5921288134407934,0.6282004517630146,0.5072630513718712,0.3853729832138057,0.37558529900727217,0.38609545577960036,0.33952260786187805,0.3286806911085542,0.31652162296493963,0.3900327144852764,0.4353410141971626,0.5472351434112257,0.7246642079744894,1.5173110850866314,1.1518181092794972,0.5107404886181138,0.3725399737031002,0.4027296530384587,0.3446591298036448,0.39843688641268543,0.3437117658977951,0.3298414901145304,0.34663498281654553,0.3428624252700331,0.4139156133543036,0.4590344025593203,0.4839526049943797,0.625886111281213,0.6280714811079502,0.5884796459324385,0.45328689005762807,0.4168433744577724,0.39753517323079096,0.35825812480059405,0.31825745752770995,0.386770571901884,0.39554516428423325,0.56915305282913,0.40400088438401677,0.3724428037997472,0.5192265882622162,0.34571870177205277,0.37460681653260686,0.3938017075163923,0.42876828097925845,0.590555731146997,0.7035858507590267,0.7124777588000275,1.8068648582175544,0.880545435523516,1.1026226582955467,0.8864937673619379,0.7541079242480905,0.6965518869127763,0.5080389113084774,0.4425053429173448,0.45844492110937896,0.3835988302676286,0.4337641422643711,0.5247343815362189,0.4141762775347027,0.41469661710642386,0.40194912020335927,0.44701021348398734,0.44260872588751327,0.47242262614192565,0.5626298402721225,0.5106726394749382,0.5407924784114981,0.5676682071870228,0.632421579140102,0.6582001282078281,0.6897103872158287,0.805341631606943,0.8557546760453342,0.8318847898275307,0.8974482896509102,0.7895307093360993,0.679190028979698,0.6946455463892988,0.6848913217769197,1.6354996084535638,0.8659904531958391,1.5126325812514374,0.6617435723896945,0.635338627615737,0.703065503830271,0.7649077405318685,0.6205130268840957,0.48869210329140417,0.7671767912843823,0.6601981124634756,0.7280334850688228,0.5610961613281673,0.9064945775848569,0.7929432530199289,0.7935521631960422,1.171297404622002,0.5342723633899965,0.5218243813988566,0.5281199755983501,0.6340792705769323,0.7043359375899751,0.76613744046139,0.7424628771560059,0.6629346540731171,0.6095349340215154,0.7321277550808529,0.6181862171338325,0.5700107193534587,0.674567429643594,0.7517607594704866,0.58539290613162,0.6178431534443748,0.7975058660446299,0.9333273072041234,0.7110628657871534,0.7011199614709281,0.6307532978211571,0.5756848708707507,0.538562891516212,0.5373997236468813,0.5778128981494746,0.5420544485673494,0.5286158640669316,0.5487692179398548,0.6150317022259134,0.5185435347770969,0.5433885933575515,0.767318520260553,0.7063190697528626,0.693046489370258,0.6829297496003126,1.0174864359051763,0.8960024899579025,0.9020231697807422,1.188940864457527,1.3317400277392881,1.0339136713675718,0.9116491448826871,0.7939785274666546,0.6793304895163699,0.990469054094368,0.8303739890880751,0.896760879995016,1.0518013155416306,0.7168982354321468,0.5728909693254302,0.42274182870471927,0.39155541798473953,0.3731874725841365,0.41604496344704484,0.46491713724002104,0.9435524122288869,0.45464806265600005,0.4407442182755509,0.5604234919794333,0.8055927665667596,0.4806630939976752,0.6306428390229609,1.2991489026780108,2.009123232036756,2.2897178845482165,2.937231616333132],[0.42931416941255957,0.42164987334973925,0.5259202984807098,0.53138081538307,0.5096808293220557,0.4132230260314517,0.35272788770120245,0.36805819790093786,0.410628002792413,0.3735606852181902,0.3410729239621021,0.4227161635320702,0.38634442202479347,0.3859565928520765,0.4644900255794882,0.4164055413238355,0.45670117772460594,0.4490642630869051,0.5587832190258277,0.5139950407560467,0.55891950643259,0.6258701204295785,0.7130342283938833,0.9025402156113852,0.6580381246643713,0.6060370415489353,0.5741443101262302,0.4566999617159933,0.46646640727955263,0.40990100951757863,0.46040576726756477,0.4230394617861657,0.49476510737307816,0.49674766698757683,0.44046912911404457,0.44558394335378526,0.4387219448767369,0.5175145350631077,0.5175637832684739,0.5616722325199816,0.9356095371240971,0.6931889343830407,0.731787894598806,0.8378826147621241,1.2419220962067326,1.7447417412751467,1.6528710310768586,1.1509903385614086,2.156399281171444,2.3230084522320444,1.2496832815456214,1.5441986007702413,0.8779879514281308,0.9117066220235748,1.447386770191792,0.74310176342028,0.8097505709509384,0.822089546422766,0.7843170133578532,1.2363353283169658,0.815997945902791,0.7205974695873447,0.5955566772939971,0.8805652889169697,0.7178768659246834,0.5702703912936804,0.7075490363746629,0.5491600019587325,0.7465549100940552,0.6858686967052109,0.8378513879985136,0.9630478516189821,0.775121815501807,0.9120128295733767,0.6119602486556328,1.1395104268709828,0.5325199263483398,0.5040836658658732,0.4772878280957592,0.5165889507699157,0.529976242560717,0.5655883451014749,0.9339484527372262,0.5310899528378696,0.5804527483489742,0.4718568841263946,0.5032580652273837,0.5864678188316178,0.4672617152142424,0.5165763184425046,0.5331417006609019,0.8055935922930473,0.6459364147860529,0.5035726889442392,0.4653277128309826,0.5905470197122438,0.5973080583395953,0.49716754964513005,0.46019645781350704,0.6253270528281312,0.45452149374502104,0.49708407525196097,0.4239254725317872,0.4767791628143653,0.4603103590324849,0.46697207516956935,0.49788667719898616,0.4772709163180595,0.474489696216958,0.6083423506064984,0.4056835755570929,0.3792758065912929,0.3955007140803298,0.4013475336538681,0.39996095902451684,0.46620707990995225,0.4659865766908088,0.5311762374136152,0.6517063032905321,0.4703206282689307,0.4667323629854755,0.40849575318143405,0.4632074510514111,0.40036187366502324,0.37784427608611976,0.43614621645474483,0.4173371318444751,0.41845209989090043,0.4085225620350003,0.4064128357633938,0.4135307730821928,0.4077880453793981,0.45131884872767175,0.4743534956912957,0.4641281082370378,0.501088140232285,0.7139637599110815,0.4835639034985603,0.480221406162864,0.5077391491132549,0.6874530429132564,0.7388909441489552,0.6185853000641388,0.4940464967212198,0.48885399989011535,0.49317081083816017,0.4323489014361373,0.4323994286398261,0.40012812838361916,0.45979211750173793,0.47061756089083867,0.5799711719793841,0.7164234504352456,1.5005395020316252,1.179251921499903,0.5423956387647567,0.42432103365317825,0.4433752566867382,0.4084926845837165,0.45653962669626197,0.4323861729747481,0.4330346117439101,0.4404091379912239,0.43739771793344157,0.49355838415931386,0.5591267828652778,0.5921867832454288,0.7432448082206862,0.7226353640161185,0.6655885219799903,0.5508072376087042,0.507075301967213,0.49167749494439084,0.4468142919061112,0.4281909407132019,0.4693444154599624,0.4648389970292816,0.5604844811500564,0.5065216709318557,0.4501517041962729,0.6227247542149399,0.4263931927501791,0.46315345603602737,0.47457279752104886,0.5242972225126428,0.6681037830368961,0.7874107517968005,0.8077000671570854,1.8789912179861208,0.9405104755154966,1.1398944907346917,0.9924438808988035,0.8443684734338588,0.7727682864981249,0.5852225899616846,0.5566188239505048,0.5410391881139189,0.4715880952764784,0.5074883466718146,0.5798387560893846,0.46510068947472105,0.4429064122755751,0.4380236682876043,0.48981870364944596,0.47475640497017335,0.48495917636909014,0.5859170289510995,0.5465776879257349,0.5506820594449332,0.5983937916072662,0.6636259813490285,0.6892010249376077,0.7182566433183252,0.844032581298596,0.9070701412296213,0.878844618543207,0.9581338875792669,0.8327915521732364,0.7159536162521098,0.7299702876408194,0.7292909398476151,1.5277886787482347,0.8975304750266072,1.4766596776185013,0.6894801593186903,0.6495270986201487,0.6971276520225405,0.7409782036901253,0.6676665540636723,0.5438963520044702,0.7734321138846431,0.7277745781486978,0.7723117080118607,0.6280924983322681,0.9957386349943311,0.9305237043334278,0.8989014768141146,1.2669569164243222,0.6099073429838505,0.5964416609951537,0.5600959860695797,0.634948216863359,0.6987237924586299,0.7446798045221598,0.7434766494648243,0.6522028795652269,0.6166881622831896,0.7188831469846441,0.6181633622560121,0.5580409476993027,0.644722084161743,0.7240666886569075,0.5787032357806426,0.6086523036565445,0.7654730308576129,0.9315575364184743,0.7160036348522493,0.6942286388131936,0.6338827519454538,0.5807130581087183,0.5384056299702806,0.5476486568574832,0.5942309972934374,0.5629741716618255,0.5582327863972084,0.5846761466168933,0.6519138393602378,0.5699432662060565,0.615004160752818,0.8343263919278984,0.7586203818461539,0.7744737926168219,0.7776316822992919,1.095891666948955,0.9714755293623122,0.9559986594590549,1.336469066900793,1.3870196986061154,1.0716151340141193,0.9569374941203085,0.8213310831540119,0.7041255657422066,1.0009807313076902,0.8529086570612864,0.9432608381599193,1.0907085671711998,0.7820548656833177,0.6083616340497647,0.4798708282962104,0.44027589206852824,0.4064916349618612,0.42719960249475136,0.45261375961634065,0.8811744583394068,0.4677784119257264,0.4457114472419079,0.55036679173782,0.8606591503089224,0.47411778977013375,0.6340818297182275,1.2196559632269977,1.9532007284857882,2.232824911533186,2.865625775209439],[0.4537133771198476,0.43749506654226056,0.5506190143700851,0.523797446154928,0.5453227043908894,0.5048711124581423,0.4727275987049378,0.4903758151952412,0.49403268433246805,0.502524931262505,0.5173872973397545,0.5768111888667968,0.5279978827058641,0.5405947304328591,0.6201541370946866,0.5618320096809695,0.578746455833859,0.5511190520520244,0.6105272364972233,0.5853699316795304,0.6085412381539034,0.663269121202103,0.7436207380417932,0.9309767695749351,0.6620306842736045,0.6279224340623536,0.6145588989985175,0.5267038670807737,0.5645181181008527,0.5622663523050376,0.5818597535267186,0.5648983109142798,0.6444710152665524,0.6326069763375147,0.577369633687663,0.5738516882511233,0.5688716591031994,0.5941486691530303,0.5810355195808921,0.6027130266008436,0.9516538350237432,0.7324657049232922,0.76382482682924,0.8294586520578348,1.2298363516632778,1.639880326593198,1.56330133681293,1.1206443747902801,2.0762831159073767,2.0799222746605937,1.152384992313765,1.501840704750281,0.9528192334453712,0.981248434560211,1.4768665245265962,0.7740408076797383,0.8218261313830512,0.8572699963944345,0.8062302840824127,1.2341442693767946,0.8307444783327348,0.7568689664082004,0.6457074900841457,0.9253260557062454,0.7482602228122434,0.6251406089162176,0.7433165139852688,0.6138377492244673,0.7908397986388375,0.7505148444856514,0.8625625280628233,0.9635922348918792,0.806986000405807,0.9301975720739579,0.6806143748181878,1.1785453362650182,0.6130083296821843,0.6047850620129277,0.5985941218418395,0.6119006024932439,0.6378884216156231,0.6419395452677766,1.0466672157023666,0.6173660878226626,0.6321696364969649,0.5703402555612126,0.5890089431674236,0.6822419707025201,0.5868435021324852,0.6309349496051304,0.6575752588761762,0.8830652046268618,0.7600809065203549,0.6393732161912418,0.6041864556116432,0.7228869244459827,0.730245972628958,0.6392443929783179,0.6237128541328826,0.7686214839710432,0.6072051430182516,0.6262935497650497,0.5498771937677178,0.615001559444049,0.5637898809789623,0.5612196944326882,0.6009356505225303,0.523537791000286,0.4965758478312678,0.6211167871204167,0.4654265579732263,0.4654453741386622,0.5086567882399949,0.47942033258153344,0.5171320617823038,0.49736929518390344,0.5227638887832429,0.55040100871472,0.6930952520004692,0.538192905364359,0.5276542301395107,0.5177788071920113,0.5141727254017345,0.45509387051611755,0.4355744148563229,0.43761414675319,0.4857782031352188,0.45166096136765044,0.46121089868514004,0.4928089514297148,0.4593043832021934,0.44675852370015057,0.47621802945020747,0.5399225947826333,0.48713300426780404,0.5071063720081217,0.6558056208970551,0.44870075875919063,0.4622788668989364,0.5109088267165945,0.6759532441804849,0.7602460478467484,0.6375949615839488,0.5258598232231589,0.5373421923708537,0.5659684852150969,0.5044676248304425,0.5495173846474058,0.5267825190776817,0.5555719288070684,0.5648296699865335,0.6827122431531557,0.7682561873220577,1.5209005132340032,1.2555549212466053,0.6892032341699527,0.5771868009654985,0.5734806558064925,0.5408593333312145,0.5531227872120438,0.5121126331031621,0.5355927308384807,0.49076887911270617,0.49420105718183815,0.5029138978345054,0.5430190770157531,0.5469857368072766,0.690411403220136,0.6515388643241904,0.6019193157471551,0.5185463450863479,0.5101014381886019,0.5128726325715335,0.5156468833119313,0.5165707409098765,0.591154632618283,0.5817624895671457,0.6765592276577942,0.601212165371046,0.5537264255344635,0.6741165540068303,0.506734626448807,0.5048350747761104,0.4951579563975228,0.5407162801605266,0.6594272528391342,0.7542231476896208,0.8015231312417663,1.8468946883436848,0.9392552598771855,1.142220564580352,1.0524510185449638,0.8154521263925242,0.7331710698345557,0.5658949334781368,0.5402420532017269,0.5610739681845153,0.491829183970115,0.5567065877581386,0.6294133648741274,0.5277104907282971,0.5178387800354847,0.5047175809273077,0.5382219371125269,0.5249734104690491,0.5433611879163474,0.6137870015248418,0.5810377058616489,0.5752890764258332,0.6222885421436323,0.6921301091571344,0.6968123505294812,0.7054869916379252,0.8460312570376405,0.9074158964446344,0.8946946204756719,0.9460810439006677,0.8433859727274157,0.7226240807774313,0.7254783974491703,0.7162198308763749,1.586168776958473,0.8923923622454072,1.4924796082428624,0.7204158807319729,0.6901669529880371,0.7113155177894195,0.8133569434233402,0.6724345930886748,0.5826352524843562,0.8058606756348576,0.7807220880055261,0.7774032998624578,0.6478137787952806,1.0253948230241192,0.8739167628025438,0.868874538691169,1.2305315546500084,0.6163220447335783,0.6425567586764669,0.618764930550017,0.6908994907251298,0.7516500749754268,0.7386537443958552,0.7579907246649006,0.6930592848188334,0.6432755189588486,0.7420843525805463,0.6376556187986009,0.5757968147775564,0.6574470679120413,0.7165610652782934,0.5911043514721738,0.6044170638386451,0.7389519231475159,0.8853216054774019,0.7053282263977647,0.6839776767187081,0.6297565720852356,0.5813839840988902,0.5596648989745978,0.57833955067209,0.6022924920440164,0.5900215818327249,0.5822312359953032,0.6005635341706175,0.6609072748470647,0.5928674601140804,0.6196609662761471,0.8269190209773218,0.766244983452059,0.7555898355926252,0.7784889041595585,1.0376042682454572,0.9539489026395427,0.9455433603027299,1.3713522012695798,1.415334443853362,1.036576111544069,0.9581959689928456,0.8420781073450049,0.7628360514991598,1.060056470288963,0.8342893567525005,0.8901698672322569,1.0360011255325845,0.776364125593762,0.6308973735719431,0.5164035468043251,0.461523627326387,0.4626107598273143,0.5159551293713919,0.5330110074386485,0.9709605412863972,0.5444151087611174,0.5217322258728901,0.6446453586555283,0.8539797394638834,0.5782685468761919,0.7057789082679868,1.4059555797806425,2.190779094229497,2.6664467974834727,3.4900781143920567],[0.6288339435714198,0.6317071482657294,0.7072906225479774,0.7208186159522404,0.735551895747554,0.6501415512626539,0.6142364789673191,0.6076413009332607,0.5714334306389385,0.6379620060249912,0.648980062523254,0.7014482589623745,0.7592374374997374,0.7613177743585305,0.8990584359010558,0.8757106211737176,0.9513572815410428,1.0000715751152047,1.1232305312702209,1.0877278506329686,1.1385791458389578,1.1871813352062042,1.2550957363871,1.3777521851504337,1.1511825293111082,1.1330406606422359,1.1034552751679112,1.0323627866956895,1.0058480954684048,0.9290642940650217,0.9481923367151883,0.8818222213775709,0.924000234913558,0.9821009238872637,0.9508905630483456,1.0045091448889354,0.9560277159238793,1.0231064306273556,1.034396072176024,1.0365677767894916,1.2516545581459357,1.1395150351313,1.1553089423358402,1.1729595853920114,1.5937071466445165,1.7289111949042861,1.8287150830345538,1.430491496106129,1.9667580859317888,1.9489425074335054,1.3147601420401824,1.6518187071481787,1.2930068814537654,1.3661766427577666,1.681906556216634,1.175114652434457,1.170831952100916,1.2266105473755746,1.2018163314910593,1.4811695505488065,1.2839400982920213,1.2450652689406465,1.1282393111727367,1.4112804773150343,1.2493766300712845,1.1129968957236844,1.188399879232331,1.0967515893267323,1.2722750249178014,1.1446114865190917,1.2653784566313435,1.3564233255868519,1.2080182255347027,1.344142180133441,1.1445392265109458,1.5237828784595562,1.1074060399972157,1.0574825500864649,1.0649877468229747,1.094047727397484,1.0478547351279266,1.0603719521520785,1.3400004670909627,1.0164647521098122,0.9853559829010095,0.9932505863332752,1.0447214072509845,1.062823642648041,1.0555624978809486,1.0257685326183332,1.0585687989827741,1.2330010171326293,1.0932350091081502,0.9709750772169969,0.9123501503172198,0.9784789139165356,0.9338163545269486,0.8553599764502408,0.809605087890013,0.8706627251835369,0.830897299521927,0.7992803785013761,0.8275991135754242,0.8368950811682568,0.8435712493459196,0.7995302338801347,0.8201987280068762,0.7733445060671493,0.7178222145014177,0.7952082763466464,0.671045678719762,0.7058413759798197,0.7078621817453705,0.7559897167786447,0.8110116261218921,0.8559576939753009,0.9559942501027273,1.0208129216822979,1.2453465892181712,1.0306812859912966,1.0193917156944552,0.9068306683284183,0.8974545290139841,0.7568263844398645,0.6569935490457648,0.7130193517700866,0.6707248448030404,0.7161990937137649,0.7228880307153053,0.7588416601974641,0.743140516375925,0.7375288187461627,0.7903826076603355,0.8393485661138669,0.7941450830949669,0.7904020905535029,0.893898243143045,0.7747026051025397,0.7918574672087966,0.8912298725115938,1.0252159378870649,1.1732228813879504,1.089013230254556,0.9736724864352926,1.0323553087000898,0.9875811664697974,0.9128511304236385,0.8829764799791264,0.8024748972931681,0.7483420851337848,0.7228850215296991,0.7627718124738,0.8434387161220959,1.58025009981543,1.2832440861071492,0.7910881119913005,0.7456384070046895,0.7662935094284605,0.803307720206048,0.8010577720248084,0.836720872173229,0.9243100180096226,0.902923115743185,0.9368738565015305,0.9067827478299402,0.9008145463667114,0.8764736517605861,0.9968344793614013,0.9051405294427798,0.8641107819992003,0.8262301074603412,0.8713793690472826,0.8979132217801208,0.8977498533504273,0.9019520830067357,0.9186028968086993,0.8975611900381002,0.9527194946827812,0.9732262825673699,0.9208597374152135,1.0265423125782906,0.8387344278132638,0.8478242618611165,0.8512278119850354,0.8892816132055893,0.9660570101282565,1.0530644200873693,1.1328057448177136,1.9134351933748117,1.1797542187851404,1.3484221160217382,1.328332502189342,1.0731550710061346,0.9917528880066552,0.8510443548613006,0.8227123597046634,0.8416662319449069,0.7726927537662471,0.8091781363999317,0.8642392471045722,0.7554063961784814,0.7084164924206235,0.7121727100456516,0.7473166689653904,0.6949001095501655,0.683009667520697,0.7751435789495009,0.7350870160858033,0.6828991838002721,0.7209848653821564,0.7968128004231976,0.7931078609929559,0.7880285326217628,0.911385076272872,0.9848524710302113,1.026703780395489,1.0435009357516363,0.9989895215211243,0.8648557628619528,0.875872892826956,0.8824069279077164,1.6078770385841064,1.0864101331658056,1.558366877050612,0.8731071486371091,0.8470331200298281,0.8505168575698917,0.9575756942664352,0.8690239889069713,0.803392046732705,0.926956911302856,0.9645583378197723,0.9857871656091654,0.8880402577507361,1.2486691537225496,1.1756910532438878,1.140122791366597,1.4486372160136003,0.876410153199917,0.8666615144729287,0.8069262049010468,0.817146783747473,0.8548462863593205,0.8189277660357034,0.8468619881459154,0.7998573351630696,0.7346102586784986,0.8224139624092281,0.7383125585581968,0.6953304385540008,0.7421156291497845,0.7890370979168492,0.6773349686575006,0.6869942105788507,0.8087971334428313,0.9448119005719227,0.7988545028763464,0.7800599305916527,0.7204747863200451,0.6898323861706515,0.679743425797323,0.7045997803249328,0.7441496506485048,0.7240369006895253,0.7354919597098272,0.7831452397354883,0.8291097330485693,0.7902944757806376,0.8438390048011337,1.0283147194587214,0.9732858734762592,0.9969763142913077,1.0179865985483032,1.257930086892504,1.1610333537373008,1.1308372299020444,1.541087307230921,1.5600999744207182,1.2066861611909798,1.1139650845157907,0.9756211093144918,0.8685169237003868,1.1654864101777955,1.0131716920318155,1.1114498416410332,1.2311548910330488,1.0049383189526657,0.8414235117607897,0.7568875433496463,0.6837583542864879,0.6509281418819367,0.6704010410920297,0.659966041786735,1.0296994793231165,0.6809912675976044,0.6310491302272111,0.7141703419001832,0.9434741355095623,0.6586369554897221,0.7500692073147084,1.3543530912564254,2.0928477880806837,2.522403288477077,3.28350520185889],[0.7940846348588041,0.8679580050930747,0.9636134974137307,0.955705027501219,1.0637802467516964,1.0056410306213286,1.0990843617146828,1.2340197105667856,1.1691759153954753,1.3385005830820667,1.4308116760228529,1.5070755021331985,1.5888024214839442,1.5455234760640773,1.7583635491765062,1.7479297997729384,1.7401320381771113,1.7725788310955966,1.6824301141618805,1.6605382788017389,1.56212433177936,1.5563800739544429,1.5137017797890902,1.5657813385342327,1.424020187609494,1.4642964919661856,1.574718802191855,1.6469664844053742,1.7474314208650235,1.7407266783276758,1.8153908469189801,1.7669897095864304,1.8197318147451949,1.829172701554843,1.802063869812968,1.7874416455772357,1.7694205978630169,1.6760517407290811,1.601262730126689,1.5456838546655494,1.5522328857817524,1.5375307214606013,1.5364342608436605,1.4715651562423049,1.7413086549260357,1.7320429949468257,1.8500124624468064,1.6103088533419936,2.044388711493351,1.9230550152383965,1.6246099340740532,1.8853782810926654,1.6944085747049515,1.788273907745719,2.0830849696547653,1.5828487268515437,1.503099556113707,1.7528618551290067,1.6669553753919286,1.6910955110499462,1.6432676027191258,1.7015270616341998,1.7187780787496347,1.8381299003803497,1.6182996429116117,1.6380666129304107,1.6518258621477508,1.7457598676209447,1.7969804361228086,1.8701333408464742,1.8687723380443388,1.8744810722468237,1.8457248624470668,1.8271478587009466,1.847874328068526,2.052767708469184,1.7637519918500095,1.7879778732302731,1.7703077035621182,1.7214066010195428,1.7431641897834391,1.6873823489099247,1.9291165215431445,1.6245235270909286,1.569614185816059,1.6833564016880667,1.6997750721507354,1.7762939554386061,1.7558973224496555,1.8094214956473544,1.8252909485018112,1.9356796328130577,1.9214558676348275,1.8634649125312568,1.8194095272710908,1.8569422961161262,1.7958403541119212,1.7511524560771365,1.6708501652615595,1.6242852834825268,1.7062923241240153,1.6220346502314762,1.7006348997560061,1.642691881961253,1.5654645725314436,1.4850576360106815,1.5083031333179546,1.3567537714318658,1.307494314521543,1.3737374926127712,1.2691067257392006,1.3590279780204098,1.3482342993788565,1.3556580929621416,1.4856933848041047,1.4323889385884292,1.5744375258784726,1.4137701659850035,1.639314178640278,1.7236247982564254,1.69292372567655,1.6079353559814988,1.3498670303590774,1.2691297751211796,1.1811974655894137,1.2107613733499323,1.2191494096908746,1.2347748333547028,1.244323577918137,1.3187665565567208,1.2206051654150467,1.2521059523454103,1.2872251312187561,1.4137854883879917,1.2860773524178146,1.2685747206422868,1.2192045473999924,1.1879591698249945,1.1724991028017913,1.3084920768582577,1.2903700972692558,1.3776188166226437,1.4219837607046073,1.4245640561622064,1.5309208300856538,1.6146964217958646,1.5401902243146943,1.5988801842454297,1.527753696206356,1.470264195862299,1.4192166668230388,1.4448835242364944,1.5268643005923943,1.8841362741451229,1.7831416111708087,1.58269830748792,1.57197829556558,1.5784684465963397,1.6412433462085845,1.5505050830868075,1.5049798850241571,1.6168195236903133,1.4538168572606043,1.5041727191863392,1.377226794469404,1.2720500658162681,1.272431938326346,1.2997454313655716,1.2482231258977325,1.2162801175283078,1.23140644562686,1.3126543749134265,1.4233027730436092,1.491609924995692,1.5865539897610494,1.6551473013276337,1.6886211689600419,1.7302326346546106,1.6770391742845971,1.630644568900153,1.576066420410657,1.4930986874273882,1.4462414611666008,1.4026844395692823,1.415663476396569,1.4120471353530162,1.4680321025825742,1.5315636452745613,2.0857400927884964,1.5432536510227228,1.5975190437019566,1.8052286970078795,1.4163691740408957,1.3295312737332377,1.269146044469301,1.2525192889736052,1.2224490376930144,1.2063318341374016,1.2109911571633913,1.2665227362789335,1.2060942961835195,1.1995986224839794,1.1781793414561923,1.1513141669845683,1.1429260261211382,1.123607515713676,1.0998310710958097,1.1087395777481484,1.0722859496816664,1.0681835778963809,1.1370191296967538,1.1106464259967348,1.0528701252230594,1.1961881474209737,1.277394924434219,1.319490209281969,1.2868931063765277,1.3181279723158312,1.1973026537506084,1.1737083063852554,1.217176444447406,1.8101755365461412,1.37284092624553,1.7572785592761602,1.2391045553921085,1.2429888231748167,1.2694518815337825,1.3840145893655342,1.2482226495004767,1.201813091457019,1.396575047533538,1.3866938597618794,1.3062966976626076,1.260599390880529,1.5243432620186903,1.4101154479147053,1.3704167467695754,1.6714916260315797,1.2319312056864355,1.31174741487966,1.3040560920141546,1.3030206923013563,1.3935610831457024,1.3242895242230537,1.4040286381473055,1.311567963554683,1.235176976099312,1.2960680685544106,1.2209641180661897,1.1576438737552768,1.1738574971291682,1.177987485086333,1.0807031963065126,1.0696451379849161,1.10787806285961,1.1845045115146924,1.0791759138344936,1.066237390798215,1.0787681420386313,1.092511340621352,1.1217787751758472,1.1473550874849872,1.0989174488793458,1.1111948690423168,1.151672467289748,1.1564842527738013,1.1781642959580525,1.1770432272748723,1.1958259355997283,1.3197967269400117,1.296568377662922,1.268611980771138,1.3098030652321502,1.5210978255687897,1.4650960536293094,1.4660094422386003,1.9180295395593865,1.8771744922248188,1.492515578854,1.4243029674102,1.3074021787522863,1.2240501454162176,1.479536445482355,1.338909062523729,1.3929004586747087,1.502794248975452,1.3425693022576557,1.2160169946284345,1.1706812892388703,1.0941627374871945,1.046710656599213,1.201680036264692,1.158931593131986,1.4011409045428822,1.144865608225285,1.0466270814716752,1.1364588752326252,1.29405092186646,1.02124047798533,1.0845844484350835,1.7050316556972753,2.4625154281673476,3.0379413735149976,4.01120238765966],[0.6964259444380126,0.6924385293888102,0.7709484436023768,0.748994321760292,0.8076047537702521,0.8401617586111105,0.8837856019478518,0.9810337362603373,0.9908032331739931,1.0537517940861203,1.1448999559720607,1.220224257014593,1.1324608822037283,1.1416840032934383,1.2455393966228194,1.1836966698447087,1.1392776885423532,1.0483044259838004,0.9689350404517925,0.9934594917135245,0.9629081243869267,0.9972599929426311,1.0784694944266975,1.2506807622641505,0.925397077646871,0.9120709350244162,0.9646551792365673,0.961761662753356,1.0600823354240454,1.1232193388709693,1.1405912828262543,1.1814501508906354,1.2370544284404772,1.1914361336435313,1.1379700994269673,1.1007969246553742,1.1256482161919943,1.0278988809249687,0.9874725530675384,0.9686037590930575,1.1318231172537614,1.0157676564416618,1.0415697458330562,1.0323839860171655,1.4391432130887598,1.5620642908273514,1.6403521969949395,1.2648712621575045,1.9207894737798337,1.7029478292081228,1.2386243468913951,1.5718114820443903,1.2954840306106148,1.3393213266630195,1.743546466584174,1.088991685767087,1.0413945782047518,1.2052963230246714,1.1357164883871655,1.34413862219014,1.0991105113076929,1.1015742509253699,1.0451611368850728,1.3135121314136546,1.0622818649156054,0.9698534485565297,1.0389657905605616,1.0362494923350691,1.1653016341873974,1.1697865809555013,1.166520911909033,1.202838848458993,1.148092591934539,1.2500821405947287,1.1379901348560433,1.509933756043818,1.0596690088533611,1.0692667753255793,1.072714693195934,1.0397068902462232,1.1041238950286452,1.1016393797156445,1.4291276082301334,1.0719290419424048,1.0375590977675402,1.0547621520151031,1.0504607713985918,1.1812369839100707,1.0897737901765356,1.1491616835673477,1.1492192930808356,1.2892320018430017,1.2118928382201057,1.2073941014168168,1.2147618173939851,1.298731733259211,1.2949145550540633,1.2407427178265193,1.2495388092644546,1.2954525055436044,1.2222992020838452,1.2059727570907455,1.1679389615099898,1.1699676062540358,1.0820362622100164,1.064485687180717,1.1056021370239812,0.9485893620002321,0.9598681325126538,1.077470588847247,0.9398090591804384,0.9514207098481821,0.9851980428288832,0.9260483313554035,1.003512273297009,0.8961394957704432,0.950618909946388,0.8596383737259845,0.9575931441696417,0.9759067471864328,0.9562507389521727,1.0187824933583811,0.8620947812224408,0.8450791961570487,0.858423311172221,0.8189798759250889,0.9405482147453116,0.8725036802051395,0.8866770071126875,0.9217021074637359,0.8398322703229433,0.8595896635446427,0.8591031220684858,0.9714728912050893,0.857099184960247,0.8578975266612088,0.9056062396335637,0.7828279050019381,0.7769306263440331,0.845536457156516,0.9147935506202659,0.9956807979453225,0.913971153648496,0.8635695158604475,0.9219852545932469,1.007978004584501,0.9631087480698992,1.0653052256030344,1.0465972144319562,1.0906836120925354,1.0891646699774542,1.1783548976686322,1.234704074956912,1.8259969098577336,1.587555656176369,1.2314274605191287,1.1830998094910048,1.1718455343771503,1.154732458448078,1.0952958322986175,1.001607844256087,1.0155964551782848,0.8953954828144192,0.9143094730710783,0.852411429160042,0.8466449986067855,0.8413837181611739,0.9188532129255633,0.8889673879104121,0.8534303929035657,0.8232687543504608,0.856995432634905,0.9071236429813151,0.9456109310162364,1.0019254603847356,1.0912159383496904,1.103710206876824,1.1678611925036964,1.0915377280660308,1.0713300717754803,1.0465228334190417,0.981729126153758,0.9353153548940115,0.896020557742935,0.9136300082567728,0.9477470376788786,0.9831022131636645,1.0878237519443517,1.8606790958311712,1.1215265376131942,1.3266447085002355,1.2889328251912948,1.0047884218846723,0.9450452325954096,0.8850793486399735,0.8711729796854513,0.8506217867630106,0.8392345671566708,0.8590855610966796,0.9284915057136778,0.8728209203445533,0.9033536546593957,0.8759113304821134,0.8442853975615542,0.860575253084947,0.8733808942283844,0.8450049793755199,0.8323204166954532,0.8646964439930869,0.8593227490348753,0.8866186297798088,0.8896778369411855,0.9014252020089051,0.9802841564806569,1.0340540402430818,1.021542240903326,1.0572435821107153,0.9784111500702917,0.9131693356738959,0.914081928543596,0.9264018278312204,1.7408737683028692,1.0900641420866004,1.6111174975250042,0.9813446166047259,1.0021262640118298,1.0376935903975402,1.1125243506647944,0.9496607910365096,0.8967129739293215,1.0941054577214384,1.0243779090523848,0.9672144578627809,0.9077917133191917,1.2623025344699383,1.0725567604015547,1.042409200216331,1.4199547259714014,0.8740400172055499,0.9735090986995811,0.9884597686716029,1.030724952588966,1.1096751894829258,1.0745046398971032,1.1392481984506184,1.0694937110153568,1.0013127186059172,1.1049618133852401,0.9993332913905003,0.9423789333277482,1.000763617348942,1.0281300161478895,0.9051251974865946,0.8974941897790215,0.9909806600141208,1.089424274512785,0.9107272362562506,0.9113994301805083,0.8869445566839921,0.8876394561466181,0.8966274344283998,0.8926296264056613,0.853878582353132,0.8392242901655096,0.8637254447962656,0.8429493023658247,0.8670026977740651,0.8458584312188604,0.8689745546097705,0.977418932661641,0.940825356819274,0.921746614695564,0.931566578941477,1.1430356789612341,1.0702523545182734,1.100860114561209,1.524202698782507,1.5367366663722037,1.1378660285328577,1.0554555502991056,0.9848064788403565,0.910074272225637,1.1309771901072685,0.9799636813976619,1.035963213458197,1.1847933726241973,0.9903101832549828,0.8963724977899408,0.8386815361427631,0.8106812949897956,0.8044789572449484,0.9155565701185446,0.9095028938062704,1.2309305252469178,0.9093670030883342,0.8694428978156304,0.9795956993210387,1.0944626129382249,0.8972529875083742,0.9741961658405908,1.6610942161499789,2.365466968272073,2.9142893172552236,3.9177642932728465],[0.456313599309557,0.42545297406301547,0.4930553541916093,0.5168944102597278,0.5152700405304197,0.42223116538615835,0.39320206861070883,0.4197946448179705,0.4325949647190359,0.45636864017564066,0.5024864078638073,0.5810724460495186,0.5460048201825057,0.5562903002460331,0.700964302118183,0.6472022917512557,0.6751088611149318,0.6852418471169925,0.7810960524923665,0.752643399675868,0.8085631796602039,0.8506239237646366,0.977359699607177,1.1787147924282901,0.8158434682716185,0.7918529957161728,0.7440791465236186,0.6577521693731837,0.6731322312276681,0.6607226198758086,0.6901029042220834,0.6521737448651076,0.7377943492744135,0.7470039058836779,0.6769719648052313,0.707530567746723,0.6668548359334536,0.7018832880780274,0.6845170046089033,0.6988540334007,1.011733708675361,0.8531695487768067,0.8825180870333703,0.9116464303763596,1.3586244286579563,1.5578229746936092,1.5973150344335993,1.180776652723777,1.945506377408086,1.8061689355186428,1.1368978181498792,1.5035091607420876,1.0798578325329853,1.1101846552250851,1.567744672796079,0.8847211856703815,0.8920991829030728,0.989469193054833,0.9396580463261237,1.2706790096659453,0.9565073911136638,0.9335511951654729,0.8408108264234013,1.170375247184942,0.9281858749520804,0.7941106349295053,0.9121403884677525,0.7956703909843995,1.0123778541339727,0.8892312443894086,0.9883243608292773,1.109566045731871,0.9450755500462095,1.1215496862341903,0.8605767567848532,1.352020625073742,0.791815588808331,0.7677810358830681,0.7620002214448606,0.7492769085398663,0.7574798792349025,0.770822834884329,1.1289027451177678,0.7010998942942425,0.7203087699708357,0.6646644368645438,0.7187283637043914,0.7923910199405256,0.7516198332870139,0.7785407963626173,0.7981107422802066,1.0090324522430132,0.8654041451790703,0.7593168491886388,0.714392389481529,0.8109267049089097,0.8104626084599816,0.7064248683814727,0.6738313014619995,0.8001125972371631,0.6584838157443065,0.6554536279216734,0.6255335320046463,0.6289504456808959,0.5836356688797796,0.5668221696811213,0.6134831125658907,0.5044746284550431,0.4771802473953776,0.6476419141650357,0.4230058640722418,0.45019752820948833,0.4653686748723159,0.47094781108384337,0.539552675866532,0.5391809430729128,0.6137683382227522,0.6656555031210987,0.870837728516059,0.6969623771627634,0.6724289654471364,0.5970772456534564,0.5874036810314974,0.46679091807409584,0.41271191950060493,0.43905935634199306,0.4692361180647153,0.44044866024706547,0.4551748549298997,0.5036477276793208,0.460029078793582,0.45121757920595035,0.5008159133742858,0.5720085579535605,0.5131181669919748,0.5218851157122408,0.6669820166975173,0.4949607829881388,0.5132135284315953,0.5797090731641604,0.7812501009806728,0.8910897672639732,0.7570789660733794,0.6142654450281692,0.6551811875806456,0.6457031788663966,0.5728117554250204,0.5735979246141996,0.5405169066718997,0.55109834876306,0.5476793184204519,0.6631741553721152,0.7635049856216268,1.6545955547203375,1.2632235267965082,0.6870778386263149,0.5872743285022891,0.5929029521375754,0.5906630720822642,0.5723876466844555,0.5717703818197778,0.5994903423887685,0.5620383136248395,0.5802315959801079,0.5851518729945488,0.6199031126218417,0.6022328475351335,0.7557151301320911,0.6982464865320058,0.6487784774058898,0.5636402758199909,0.5731017627360958,0.5793098800446759,0.5586082527619368,0.5707270665616813,0.6215459655389782,0.6232603294247208,0.7440919128170588,0.6692345184474743,0.624447436313775,0.7085499189756493,0.5305407488687913,0.54992112194406,0.5515071843379254,0.5974825186441386,0.7249483885149751,0.7997947807876418,0.9132075769046187,1.8407831342545193,1.007226741684984,1.202193438028217,1.1282306113260512,0.862044257867334,0.7589392276782425,0.5999965148489692,0.5611217555562867,0.5603158354577923,0.4785543570849131,0.5371866049037489,0.5923207995291371,0.4819367489617255,0.4551113018599514,0.4456632982563299,0.4945500808110826,0.4689550264838724,0.49318568243129374,0.5963805069749906,0.5392366152055682,0.5486221958426748,0.5887473600182099,0.654376877942271,0.667742496199256,0.6927453327273742,0.8138370476231065,0.8831293404008873,0.8765962131648986,0.933496495649875,0.826198631813526,0.6871525547761924,0.7025998873839413,0.6797134160687583,1.5843220374156193,0.8485932269450862,1.512341894881977,0.692907604358037,0.6553704199700175,0.698717215972468,0.7924988111359048,0.6215708217184338,0.5298781834057951,0.7905130902582403,0.7490431016664342,0.7508015241225717,0.61528562610967,1.0202606691540086,0.8631277565296759,0.8608215925647301,1.2406048750516019,0.592943333295081,0.6168587858466865,0.6049601243864244,0.6814231797791553,0.7465983872829758,0.733501951929099,0.7642343359082611,0.6959711918987426,0.6271269333235284,0.7596843643256304,0.6185019060425603,0.5443898524478451,0.6465555456757394,0.713855562045757,0.5737091276346532,0.6033186196465007,0.7743632374972471,0.9053159020863287,0.7004638257924691,0.6854186095691861,0.6239019017003236,0.5631393704618674,0.531040279490019,0.5379935683196095,0.5657252959360942,0.5395483597766245,0.5299440123481944,0.5515234631301374,0.6203964668719647,0.5503758310480303,0.5818579917695925,0.8134361192444196,0.7454282493228647,0.7311839366778121,0.7608412046575124,1.0487569269574724,0.9533335807406746,0.9375074846080418,1.3514350738222232,1.3841246413101027,1.062663690444664,0.9479732742189094,0.8170738220068676,0.7090674176060108,1.011667673724256,0.8232050712060557,0.90371467455562,1.0298092633839127,0.7449968244565807,0.6011098188137929,0.49376104257100517,0.4594370203365636,0.4221117652281683,0.4292232242320257,0.44675142745973867,0.9514095393900022,0.4421785450551546,0.4628214698564024,0.5653605552039797,0.7329223724600196,0.5083434831519827,0.6386757720937968,1.395352535887344,2.0665424714672485,2.482039257276553,3.3114425822015043],[0.4690097262579574,0.42386252228192806,0.44528284233924725,0.5038888676417013,0.46479299726319456,0.3875721676000536,0.31179680145942873,0.31620599250188464,0.33277951554526924,0.2884669301811177,0.2933345284940088,0.4036924531164236,0.3352206100448423,0.35044337881299864,0.47537468591498006,0.41538815395889855,0.4543005239610051,0.4961370638651172,0.6168541530603495,0.5715507611670052,0.6489469000582654,0.6771552799261059,0.8000442713450034,1.0087746630536227,0.6889422819367457,0.6588296345613459,0.5728811403701499,0.4736614562622712,0.47020203984334785,0.4472125962264407,0.49804600200729765,0.4336164975282401,0.5550434103078385,0.5328075090608102,0.45448609264527945,0.4936058191067865,0.4481909778924491,0.512908771276294,0.49664542106008935,0.5207676305737508,0.9154822408078783,0.7035249160759075,0.7262431763766437,0.7895176920406438,1.2044753568114326,1.5316507263822996,1.4464380745551357,1.060487325085618,2.041014521007621,1.929394459201382,1.0807405149351732,1.4833610248163858,0.9324829085962042,0.9491166212703854,1.509751722538823,0.7329942454047779,0.7850118906823192,0.8323675117071344,0.797191704125869,1.201894820584408,0.8051314244256828,0.772412799759285,0.6855267298184313,0.9898984679190209,0.7459163624417917,0.6430868204030139,0.8117415756836528,0.63094301458729,0.859674770100972,0.7475064023234346,0.8715517590647768,1.0253684288175156,0.8330250942491947,0.9958294239692068,0.670217595991971,1.234772508894147,0.5878262202366215,0.572552834927873,0.5463673642305663,0.5554518860565995,0.554827326622315,0.5855061805738078,1.0241874656813506,0.503234181451284,0.5819664125159641,0.4624753338105578,0.5080795062606545,0.5914531270725346,0.5275135702273586,0.573670735551574,0.5921408753043206,0.8550544433648614,0.6817781010104179,0.5614763209112682,0.5033394164555006,0.6109592250551626,0.6063519657723601,0.5032477768514056,0.47341036407895015,0.6736308084414567,0.4498577396180477,0.4857606881209957,0.4235098537311121,0.4580600725164175,0.4182300728730948,0.426047711597679,0.517969140301878,0.400173171972536,0.4097878439625961,0.612670166177241,0.3348871427820926,0.33404672113492623,0.3396393090217527,0.3490613387892442,0.39221817651856544,0.40884468021691345,0.4695759046217569,0.5518760475638647,0.7010417132293962,0.548191773128979,0.5204132534321064,0.4541012017502158,0.4780002218125068,0.36392319090948844,0.31021829526342654,0.34436790970582054,0.41289149776432704,0.34540145445385256,0.36615967625364204,0.38852211851296176,0.3714848810134122,0.36037391050560724,0.38638681013100856,0.4454368591993689,0.40029385862527805,0.4200609038638831,0.6345150251756131,0.4055400375697473,0.45196254992084944,0.48287712753121437,0.7082035893520171,0.7813417434450004,0.6540799303182039,0.4819249447344764,0.49023804846370594,0.462556131978415,0.401440211625706,0.3746937615862634,0.36356043712249,0.3938288798492967,0.4227026281975167,0.5678155018557396,0.7098385165349104,1.6641623914351205,1.220067761546612,0.5540438622444813,0.3992083952573383,0.4188532304461574,0.39025787084129454,0.4157148169118735,0.38845011384108136,0.4114292098594027,0.4119936126781632,0.42325596051221603,0.4798870242116792,0.526264607951462,0.5038581764496034,0.6563661886390537,0.6173839126328424,0.57556900952067,0.4686396606225648,0.4602591845410029,0.44421084335238714,0.39225262763657703,0.38113588836258944,0.4386689951028736,0.4403806500573799,0.6088399725529131,0.47646967876709384,0.44370375643251125,0.5414918485820418,0.37267210904454673,0.4082473710809986,0.41938196793083626,0.46514825314450936,0.605091101652095,0.6906132988144769,0.7751047091620203,1.7999157607179328,0.9167857087490182,1.1371729342224262,1.0057881371832385,0.768122904226409,0.68845958483328,0.5160851997822737,0.4703172532505715,0.4845481018418277,0.4048569623266712,0.46463769629574675,0.5399666249181791,0.41931395862563847,0.4058506632530886,0.3894002453088831,0.44682145143867164,0.4372377230195588,0.46616151058336003,0.5594676890963217,0.5186165520893973,0.5392096030638122,0.5689902011555128,0.6333795050982216,0.6520639199469006,0.676387874125418,0.7953693533418437,0.8593997027070556,0.8315531935335898,0.9143982274282236,0.8032391331722036,0.6823458479098204,0.6884151893781998,0.6809369086325691,1.6530292673353975,0.8665992831724463,1.5037670096688105,0.6683787773326862,0.6397153854028041,0.6912846401488519,0.7826060826567178,0.6029002312701074,0.4939100391071737,0.7781507931016219,0.678494639494892,0.7081300267449625,0.5659433161032177,0.9694553005886245,0.8054893557184236,0.8246972397134048,1.202634118825667,0.5410856782756465,0.5434943190314135,0.5508678836186377,0.6500504368585415,0.7301365820426066,0.7615558154735423,0.7602776861806745,0.6830725786112805,0.6200126545184605,0.7494601620824229,0.6103419766035182,0.5437307076529891,0.6517834914258546,0.7240478946973061,0.5735643183184289,0.6117308971313616,0.7859894450467366,0.9013429644351975,0.6967632532299651,0.6873446471334045,0.6244322339462766,0.568453523125667,0.528730605540655,0.5286599205394845,0.5614835563899078,0.5311726264893295,0.5188896179955429,0.5306888710910419,0.6022809497072695,0.5152375920692734,0.5386133814452811,0.7754327335492419,0.7200926189920488,0.6956609324058735,0.7055405526881315,1.0231998769902186,0.9276503808491541,0.9300145134065192,1.2799516401851805,1.3789021777741632,1.067344846032315,0.9419071319922491,0.8022141560090488,0.688105959965287,1.0121953913245094,0.8449306024484966,0.9183721550121682,1.072701869998843,0.7351799818610356,0.5764206340893682,0.44263844526718354,0.4055378872374542,0.3778846115808103,0.3885261099538217,0.440280371251017,0.9626992515932453,0.418233414696629,0.44539668231426366,0.5780149767146391,0.728237110829127,0.5024178454045164,0.6346090900754141,1.393904352673766,2.05184772791639,2.431610780112285,3.221894362084818],[0.4394610312244049,0.3884437498699449,0.44916476103924596,0.4991797076131803,0.48087888121567635,0.38910592893496465,0.2943488936123751,0.32964633684251843,0.38138515915893967,0.3484247188960753,0.3316400063963825,0.40035117315875307,0.3775692528568524,0.4024610337800299,0.5071178688681455,0.44436631203845434,0.4958722988015876,0.5119381319666834,0.6447514433519986,0.5874995619929952,0.6577350318395226,0.7136062367459339,0.8150267957713411,1.0222385893489674,0.689377854032407,0.6643340969649794,0.6138896197236386,0.5089480369192104,0.5043623233192315,0.45905745508914503,0.5127717473606083,0.45750552056424176,0.5516463953840417,0.5530537625363138,0.47147160614179445,0.5053891366992859,0.4707939423610006,0.5494350897516255,0.541062127571253,0.5674064703669853,0.9370948553651004,0.7363666706880608,0.7636180172080832,0.8467206044293918,1.3020606863843383,1.6559722213028318,1.5934458775323685,1.1205471048046056,2.0612074207073645,2.0920457738073477,1.156266538000528,1.5070128515985504,0.9523554649677576,0.9871501958018031,1.5204588872041012,0.7761387805000908,0.8006076690397238,0.8770597620581063,0.8337337531546465,1.2276317004884543,0.8380019263144713,0.7829239936917292,0.6690784322221756,1.0303687615844923,0.7964199662973733,0.6338081230314693,0.8062474206867131,0.6456437248182052,0.8787738583296827,0.7604489565759724,0.8934911487779665,1.0302829228354393,0.842117549077907,1.0246142168002157,0.6964282820272769,1.2519500795773555,0.6075995106057023,0.5820303284509425,0.5592662404787291,0.5778495414669252,0.576947283192319,0.6204439598855146,0.9967969759259688,0.5253116001858291,0.5930110850169884,0.49600998779358607,0.5512621594345477,0.6133650434029486,0.543363497303592,0.5851707625597846,0.6102566506448682,0.8849753040467856,0.7127389702138087,0.5761442819110681,0.5238231984468011,0.6307781080958333,0.6178844743251369,0.5178329787958359,0.48387865914367306,0.6668099252618634,0.4578868625266291,0.49244261126784783,0.4331876675051125,0.460792742418652,0.4383928521645409,0.45381973392303726,0.5157361138907972,0.43454507615521215,0.4397026536008756,0.5895243726292897,0.3578795783644404,0.3501428165596881,0.34957044740881943,0.3690882873793613,0.39849671492312655,0.476207221371438,0.5093093684437434,0.5873653300823769,0.7564868758935827,0.5503381640544778,0.5484597501403137,0.47113188922278737,0.537812435428037,0.4164525025718711,0.33943392668003125,0.4079685218728027,0.39863770991211345,0.37348878580829087,0.3778982106173733,0.3822771181778523,0.39561143704244117,0.39191991972072954,0.4271110416979466,0.4556651640715228,0.4445582409881987,0.4707655270254648,0.701845822847468,0.46659945377878814,0.4913162194476331,0.5230129977532304,0.7444977082377358,0.8131982598152122,0.6855548128027864,0.5309517637291081,0.5325246758379663,0.5105640840074942,0.4500199185594129,0.41578009979896235,0.386815106952944,0.41671365900278257,0.4232331439219395,0.5566035978158027,0.7111199139487117,1.624046495102619,1.2106954464183466,0.5418158313164847,0.4156145794612169,0.4287763659603837,0.4130332334998975,0.43504915789667037,0.4309773923123764,0.440729787564895,0.45651949555773064,0.4620740520796958,0.4933312824978196,0.5785323087196558,0.5910539126270329,0.7454608547515906,0.710158346560714,0.6574663422329324,0.537358058750038,0.5028155819543916,0.48174853994489275,0.43635123816559607,0.42036769134070284,0.45738707495788533,0.4608086449992978,0.5942192393563183,0.509275008019728,0.4534873605865772,0.597772300080309,0.399197695508937,0.4383158166956242,0.47166574641074904,0.5207341895435491,0.6604041391891418,0.7672735788194829,0.7969225227719484,1.865601032369892,0.9438026565597741,1.182019739617596,1.0204970406814236,0.8357676268418656,0.7626370220919191,0.573329605023003,0.5298390937081022,0.5234961782905603,0.44742145249164816,0.4894275590549007,0.5507115924174362,0.427973841015696,0.39994671355330713,0.3926949728511879,0.46389415530252937,0.4415593451063952,0.46083192047285165,0.5710378146935632,0.5275899611764425,0.5466545476068603,0.5802270613807987,0.6502123327272946,0.6809502554300136,0.6994873247764873,0.8153547147289295,0.8917939015955308,0.8554109246829065,0.9584194235778019,0.827488958961759,0.6992587333941354,0.7290392910689824,0.7103769368600665,1.5490969860219612,0.8778983858480809,1.5039394728997384,0.680991371957185,0.641000437643125,0.7001378450265882,0.75236538864224,0.6554918567977149,0.5188294645647618,0.7688657805055792,0.6954103118371259,0.7577697994664006,0.6085748345547546,0.9649423371849756,0.9014348290590399,0.878338476402516,1.242414850860929,0.5847220160585352,0.5670033186990341,0.5456303784139191,0.6230803166491538,0.691620407661918,0.7608660732376318,0.7410118398341632,0.6562483071293572,0.6066149157754557,0.7343761349629474,0.6138313357440837,0.553210745887157,0.6633088577922073,0.7426886019293021,0.5724258030917047,0.6185531102320538,0.7988997105375618,0.9330754552423849,0.7193041236234807,0.7065170465929772,0.6417778398252136,0.5807834202262703,0.530768993740241,0.5311648132726215,0.5906823499059038,0.5537753208884711,0.5284823926292759,0.5632340126334643,0.6368328086581443,0.5478584051990423,0.5940562346187322,0.8361213011259325,0.7595497287985655,0.7575411706842828,0.7732739035324742,1.102878439164423,0.977853665502989,0.9619150820568934,1.3114570672104537,1.3670284145003362,1.1034964673071,0.9592502146217292,0.8114392316406294,0.6800024402645917,0.9864478027022338,0.85998921124767,0.9508832090091961,1.086358515036103,0.7520894811780265,0.5932774180593599,0.45754018992045675,0.4178381157866135,0.358128606280156,0.3822479486161581,0.42219779549361997,0.9247510551505504,0.4183589796305917,0.40386139501745677,0.5258313800614814,0.7884841568984161,0.4260411253950143,0.566687334844886,1.2188012578287104,1.9230780376508079,2.1815113881204673,2.8345913625556842],[0.46715656845278575,0.39200642077825637,0.395453084895898,0.47253196179633417,0.4318075786333911,0.35782149114616135,0.25189056607556004,0.29057316604760836,0.31531660040302134,0.26194476691916707,0.27950169304640093,0.37749868641650797,0.29191105079569346,0.339644597870529,0.4576840740454901,0.39936965750783593,0.42532684069796184,0.4880376996143096,0.598412228715093,0.5511441893855162,0.6240362550027782,0.6498658632932275,0.7558708657378506,0.9756345628619133,0.6655231526263735,0.6389032539121948,0.5472834199223245,0.446540686014876,0.45097602414290733,0.4167865566234207,0.49802560959400716,0.41940033175007735,0.5550045812638679,0.5137466398572763,0.44432140216859833,0.48110751809384494,0.4196081450283076,0.4680184831364134,0.4670608234355638,0.48485015533082065,0.8927653670757614,0.6738083842876923,0.692725432844883,0.7682044588852992,1.173599918026818,1.585130638955666,1.4555570636771427,1.0534950920265562,2.115462048510889,2.0873456694420396,1.1139183706849305,1.483495566726192,0.8902801897384309,0.8938029143497638,1.5054953818931276,0.7072451764489731,0.7854269250965009,0.7880262932254413,0.7932470356150558,1.1837296003741047,0.782358242790224,0.7529347465933092,0.6924639637264525,0.9786076694174751,0.7240976181156187,0.6291232266895602,0.8098132729687834,0.6257939636582837,0.8848621708112131,0.7482626258436806,0.9109343636133429,1.1023404868039517,0.8708127768545906,1.0090236369994336,0.6674429130200468,1.2263071510412413,0.5689166546777717,0.5613098135807758,0.5163809100498642,0.5404476003936205,0.5304064606536655,0.5578403943628102,1.004116864131989,0.4487890089135878,0.5374230251340816,0.43507695163518445,0.47579687795440645,0.5649746660661792,0.5129716320227063,0.5640437259396845,0.5678619189324464,0.8480611639513725,0.6584192341932373,0.5463418824105517,0.49500245512168056,0.6065133218535028,0.5707785441675041,0.4844746223122562,0.44488550483272116,0.6933850302007749,0.4415835781952017,0.45273144580126357,0.3837381269850657,0.40936952410118116,0.3798568779156528,0.39674516402441296,0.5205769011141256,0.3969064972493526,0.427406544093794,0.6206749252486912,0.33347483032086567,0.3036573833062996,0.2919368699466038,0.32840845997960405,0.3658862474848326,0.3997396662641759,0.44755274995566674,0.5184816371097822,0.6693462107400607,0.5247994265599669,0.5066975078844482,0.42854331424872677,0.4524261676788768,0.3595000874770998,0.3062069283992114,0.3718152559106501,0.3681293205831357,0.3533098770930069,0.34298298520095344,0.34682684896484844,0.35544890184307426,0.36771191042306356,0.37604208834793307,0.4233752461446407,0.40675506392590793,0.4465177221222945,0.7044712311035001,0.41266275605265423,0.44623924581614166,0.4565885767863549,0.6769620203666888,0.735266371888019,0.6232548605649108,0.4559263234666504,0.4466981688888702,0.44400164170378487,0.3876865879648492,0.3376130092706211,0.3234461087294366,0.34856354335898265,0.380975299661807,0.4997876201528365,0.7285220730728194,1.697967669290324,1.1922597511986839,0.5026322684468258,0.34634534350846863,0.3606720080427074,0.3413591216683775,0.38366713614381337,0.36786970009327663,0.3728747475515819,0.3973228767668934,0.3983722772071017,0.46076252102979753,0.5087911750975935,0.5083746394390619,0.6637849803091475,0.6526701164951737,0.6078888542359842,0.4802564135557852,0.45052526517949254,0.4193155338156138,0.3637392057694276,0.3384409452250199,0.3954951865873423,0.412972121496019,0.6035149605023925,0.4326138446365321,0.3777429378278514,0.5106467623687077,0.34124122101921106,0.3770007500304209,0.40588810174327483,0.44911370445850146,0.5973412418545945,0.692145983997408,0.7301006415553132,1.804843734234674,0.8990685439308147,1.112035989048786,0.9408879744968724,0.777245296810064,0.7127975627449601,0.521020710883459,0.46622795701493913,0.4787174680470535,0.39164932276381836,0.43777096900804136,0.5109801930480375,0.3929848071123566,0.38492347960325585,0.36153337371125716,0.42657047145648386,0.42921311630730075,0.45644417586174457,0.5469480495226544,0.5089948185024855,0.5624322384672523,0.5618971707556125,0.628590802580916,0.6662698344146754,0.695010198148341,0.7830964649820784,0.8566111795253026,0.82543750397465,0.9366757050257436,0.8005565222564974,0.686878702840874,0.7153895044988092,0.7109853086860544,1.6711798797930626,0.8889234386652469,1.5245113102928067,0.6628620483095651,0.6283319094536873,0.7105061781841953,0.7649558254203679,0.6290268232799142,0.4863821311064341,0.7630455730867082,0.6388242443881634,0.7345515049769941,0.5562373997280904,0.8925940338863196,0.8136396236786333,0.8330602637711729,1.152864636146082,0.5291917480384418,0.5071597897974222,0.5180845828734669,0.6295246197445185,0.7151477299204553,0.798110194086599,0.7527013915432256,0.6811906384969851,0.6361718139877143,0.7745220598949046,0.6455783431295891,0.5760269994024235,0.7154902124669631,0.7985029479948572,0.6118948027102687,0.6714147634741463,0.8725202288918577,0.967716235007905,0.7522091962816726,0.7543018720374087,0.6755623946711973,0.6270890939421143,0.5698147907823866,0.5522835699225009,0.6182516092805946,0.5665904375808205,0.5403406940885741,0.5612891832493988,0.6291100758467132,0.5220431330812212,0.5504548953891052,0.793278069997816,0.7210099329274821,0.7066100839140452,0.7107838832782281,1.0563236467406452,0.9263078404479835,0.9210907594326748,1.1957210076410438,1.3092617624886125,1.1023120416584409,0.9379325858888253,0.7835171431443383,0.6482147030334645,0.9635111801061533,0.8610807517284094,0.9398107108209705,1.0749995508253116,0.7091958711237094,0.549283618979147,0.41317083611712,0.4017422058668849,0.35218616180700313,0.3884977493189285,0.4707952613091192,1.0032183930112606,0.42759150653811073,0.43310528910082424,0.5768982163205642,0.7505877254377716,0.4521190806270989,0.5820291729835592,1.2609204704278056,1.877913980337518,2.121996461366335,2.7441986276875037],[0.46110151622671053,0.4198478487040663,0.4041655095749622,0.4547282835234785,0.4478555474640948,0.3925631311347614,0.2743109726656412,0.335119598407615,0.3691556332245641,0.3292259421373536,0.3401503321626543,0.4127049597233504,0.3555378501630562,0.38530668238943894,0.45948489245003943,0.40547156445302873,0.44765055653479147,0.4861484222773986,0.5924903346962926,0.5384727588267698,0.583150142616816,0.6274571436466467,0.7375660501092641,0.9154808123707192,0.6692735958517346,0.6202376347030654,0.556197054126645,0.4659980601209569,0.46634842868887777,0.418125435290186,0.48406639858390943,0.43061649368839633,0.5163686228569263,0.4978208067195739,0.4327021404249411,0.46544738190624535,0.43436785218221463,0.4826222232083298,0.4883587717847256,0.5121363256189931,0.8773206026910895,0.6665015513185507,0.6805457070414467,0.8134328656063591,1.2418184783041688,1.7347728382882388,1.631812985812044,1.1286501796309636,2.139785672787054,2.31529420050135,1.2269436857759204,1.566655314824612,0.9189973223803429,0.9352563146959049,1.4724639186449073,0.7100644895013732,0.7663450825359992,0.7577520240351812,0.7581331408442229,1.1748942704018188,0.7712809936194996,0.70654445056179,0.619407415237756,0.9204367689125843,0.704832520453071,0.5586292344350712,0.743886649850363,0.5856835400861286,0.8045778763605099,0.7070597978406775,0.8638022115143755,1.0203756837319533,0.8204595421998694,0.9676358761850915,0.6466082389061066,1.1820334046280707,0.5481601665765067,0.5264034872164582,0.5008576354459727,0.5335257699833791,0.5065928051479337,0.5524262533446499,0.9673186801800983,0.4703381310863249,0.5265823839655375,0.43642580335449593,0.4799868838214867,0.5560425949887156,0.4874997246902151,0.5370392592222406,0.5452410845297964,0.8131987213170098,0.6454152886035895,0.527967961057542,0.4882741402124628,0.5989635477443372,0.5810377537565521,0.48675096933182876,0.44221360292225675,0.6538481111132781,0.4332219433757583,0.46205443264869306,0.387849825891481,0.4342281576575051,0.4191919777219307,0.43479253829627645,0.51199349379116,0.43550014594621456,0.46067087618870967,0.609042004302456,0.38112378116556334,0.3392946938704398,0.30834202769339747,0.35917468316856044,0.38054242908783176,0.4325119856133066,0.4765553311832279,0.5577853748468155,0.7057186989735085,0.5231911256584837,0.5189155361877648,0.4543392493377491,0.47784198253961124,0.36725204863242555,0.3436716958452099,0.3967046722378984,0.3720813185468745,0.3988785718521523,0.36914618281149036,0.37532193234009337,0.37857220110557066,0.39876706805160095,0.42692409607336157,0.4361003481863536,0.43543893904693154,0.49530834445101796,0.7165666526522958,0.4789168268061791,0.46350311624293894,0.4879272140425872,0.7126135185866359,0.7927676854642514,0.654980404214508,0.4968035259832542,0.48619912185859265,0.4728981553175271,0.4104921794205018,0.39217133011096145,0.3459627262759007,0.39109513969227355,0.4237265035105173,0.523966321426791,0.7498882698976594,1.5622029842907232,1.1345385419990726,0.5009039526957448,0.37135034606523504,0.3970255305298426,0.3610188358634337,0.419390443306726,0.3922171349157742,0.3896069149660694,0.432066584059895,0.4312736556136744,0.48441004648666464,0.5493988852233552,0.5683755705660846,0.7350686269891819,0.7325184212016421,0.6630327962231417,0.5221616629975998,0.4967050064378286,0.46827429403359944,0.4013504816571742,0.3743360792538032,0.4261242391225359,0.43126653336515236,0.5840229185478224,0.45685479850675853,0.414178091588167,0.5571188027498375,0.37825567169192736,0.42032246243378824,0.4450165694650734,0.490808540967488,0.6209388209486034,0.7364840883043381,0.7765121454235315,1.8340366278296278,0.9336212503343314,1.1086748219141862,0.9576349645642436,0.8247191475636163,0.7706699966773899,0.5800947051536737,0.5215032522490809,0.5075200882976765,0.42211021025410056,0.46282838349299515,0.5298550615851807,0.41418814871468557,0.39707147214991123,0.37788307689328554,0.43960448149706116,0.4346118409775365,0.458012260900874,0.5558555943754074,0.5171722943935032,0.5624028142217011,0.5685111783842669,0.6384857533045657,0.6894236175555741,0.7260903799969954,0.7948572747550176,0.8885987325691043,0.8464710913595064,0.9847454888182342,0.8125687591070213,0.6977554666747596,0.7434015556661269,0.7281936044975647,1.5389245869050057,0.9144622077148583,1.5283377243396024,0.6921651134981796,0.6346671441195271,0.7114450815137972,0.7121023080585217,0.659168170206145,0.515359394150553,0.7630833509073741,0.6672038717362911,0.7797757759102141,0.608640718833955,0.8889876133983013,0.9184985329777622,0.8806040669740841,1.1843149934575203,0.5822432645233959,0.5426651951875902,0.5068389183360695,0.6034760297837201,0.673203912102533,0.7736143719737429,0.7193041007603939,0.6503681042847698,0.6264353663806507,0.7351146316241569,0.6270024242224086,0.5692545428079566,0.7045700354526825,0.8008690333871533,0.618584389317914,0.6797745190999412,0.8767796566792517,1.0093330086721513,0.7757211182698487,0.7703924331925106,0.6940860394279573,0.637700746761567,0.566321439835142,0.5545283763976543,0.6278838100442194,0.5690558685066687,0.5359064428346338,0.5732355283106279,0.6364022368581339,0.5442921092682296,0.6017341116353924,0.8274831956125085,0.7391225896735897,0.7583335072821037,0.7564859055617379,1.1214803769040635,0.9588196426441562,0.9410082183177785,1.2188477948655192,1.3090511957897581,1.1290545786510686,0.9414806383927842,0.7853176761877416,0.6314210321444337,0.9333828095665572,0.8869919623903125,0.9881235201162525,1.1224580132621231,0.7447472343377743,0.5618339193010103,0.4287401290289361,0.42545381826542183,0.3708437878711906,0.4210981762390577,0.45110922648524654,0.9213373866843321,0.4492296973294686,0.39940236965005566,0.5166747202953388,0.8264434736738425,0.39716547108150985,0.5739392114848149,1.048031005118818,1.7069923620163014,1.831610150893318,2.3370790276795876],[0.4530315925495491,0.4281040065099556,0.38762195398426547,0.41854999441373836,0.4132693242116911,0.4227791028126011,0.3295588221138965,0.4432126569653376,0.4457122950122029,0.37174929330548506,0.39806225905505627,0.5039343281585293,0.3873225564020098,0.3816724227150995,0.45045040576094497,0.4306025408750254,0.4106469509518716,0.42634341300290085,0.48677460238784714,0.4485830825297861,0.4718086160072068,0.5111535799388008,0.5900397407280847,0.7559870428522156,0.5913307870168941,0.5037866644331023,0.43710216833509435,0.36673743911393686,0.4185447572338718,0.4240283446549778,0.48097464349594876,0.4590741602220606,0.5286442307948399,0.5034412674349661,0.4455654925704416,0.4204146895413014,0.4368886865037844,0.4195334329251982,0.4032375692964993,0.4228342194375766,0.826836393621096,0.5643192264629362,0.577451306052616,0.7433314897870326,1.1401195074896642,1.793857208231172,1.6282073107407995,1.1087273235691089,2.2626157137803067,2.5042732660047506,1.2757023858797207,1.606978943513623,0.8603388886155048,0.8434398808695811,1.463964173572761,0.654621781332573,0.7462534312672987,0.677941535471827,0.7225921369557253,1.126789164249447,0.6912245988436159,0.6696351017028619,0.6030951308645606,0.8100500473894258,0.6193239606192107,0.5142525118959368,0.6873541824245282,0.546927286966669,0.7408731042992114,0.6886890502118992,0.8601034600661898,1.019719234801188,0.8267731482806119,0.899830308082334,0.5965153594454724,1.1021496588814281,0.48809328673048114,0.5058031091171951,0.45428590479689207,0.4658305736705421,0.5029608078569299,0.5063282205085812,0.9625643356725602,0.4744352849264302,0.49446623425887026,0.41753979171580347,0.404643162504451,0.5497521701031154,0.43918435817794527,0.5647828075640945,0.5032755831001693,0.763419236621934,0.5977740047513483,0.5206611139669334,0.48780779619555353,0.5915553547858369,0.5778597985905075,0.5088934121352453,0.5012233424425223,0.7314771691894483,0.5109449468198368,0.5597958108081783,0.44115652721179227,0.5137693521503464,0.4887719660893408,0.4871034502380658,0.6437092766441729,0.49304724418336576,0.5292853004403921,0.6983143807562637,0.45932590483393015,0.38038829021203696,0.3529146122419249,0.3534741423287761,0.3703488074213229,0.35445951584421426,0.4041626344594599,0.4415880676237374,0.5741626140685874,0.43939060437742883,0.4218461273816153,0.3839135595381448,0.37426696407626997,0.31079737799774054,0.326647641560396,0.3908908642467491,0.3975843762581603,0.4080367373894187,0.40916731249310295,0.40284781049862,0.4111142503565897,0.455226679334439,0.4398454131213001,0.469750757771585,0.43968995822453727,0.49367623293778856,0.7485882812302118,0.4384435402619124,0.4345937944033696,0.409743992631395,0.5996544984397819,0.6461270625265939,0.5295143438940368,0.40015962063702637,0.3888775357802339,0.4016356930393811,0.3591497831084791,0.3791530726780349,0.35804674432761285,0.4310533900111706,0.5192879345572964,0.5944776424892344,0.859725999418693,1.5211224764118008,1.108050893316237,0.5852340688354939,0.46062115310260393,0.49725486589321355,0.4160232102835725,0.4691611715401513,0.3813646376996646,0.37980694932100467,0.3727926353848993,0.3696464268609402,0.4514245907122012,0.4675469586078477,0.5291528987678603,0.6788601749457543,0.7137835428038122,0.6496832280871935,0.5102300145055535,0.4467218464871977,0.43242571989077866,0.39557957970055846,0.3717890877340259,0.45033876553429114,0.4541219646432975,0.6690417794246103,0.4554022501203755,0.4659872224374514,0.5155680584883728,0.4037285948392008,0.4292276032618262,0.4637212552871987,0.4887704472382794,0.604078869695978,0.6941283585995688,0.7454649572974724,1.7913976960574511,0.8934673460863238,1.0740524020525033,0.8172735917085227,0.7572347993530651,0.7192406405027076,0.5565129268074757,0.5122179918777863,0.504185489546788,0.44041871268663524,0.4686176111068173,0.5409175929613862,0.4354090196282601,0.4325544480346398,0.418943853281121,0.4540166247428078,0.45707733153423774,0.47346068678079845,0.5589837456859037,0.5170400210019397,0.5719090830899825,0.544311180513238,0.6137147093549097,0.6783393256162636,0.7120870319116732,0.7500211572810889,0.8513717082777238,0.807296422047585,0.9698361457212571,0.8084603205773111,0.7033757910848137,0.7516172140264067,0.7565298239665167,1.5893971374897267,0.9385776724567372,1.5435916888066008,0.7052527429050482,0.6827201434199333,0.7532882842463796,0.7361870455017081,0.7078809870292702,0.5529535582420502,0.8079057503726056,0.6533557871063087,0.8045977033957727,0.6372910086673568,0.8527452938676381,0.8982135613931354,0.887842465506277,1.1422716816814609,0.5922062410218378,0.5467721804919313,0.5145828242671319,0.6070222204961924,0.6887162056699677,0.8707523667541557,0.7678002860681703,0.6943136594961294,0.6744559653775241,0.7720472753072359,0.6765058212006009,0.6223076263666295,0.7654306805249522,0.8563013407299436,0.662323814995371,0.7341779377314979,0.9431463666091511,1.047760898478196,0.7983731684127141,0.8098622645630233,0.7191605436236916,0.6799709022371548,0.6141292635533107,0.5997078171369493,0.657846850493349,0.5973082928187858,0.5758664666054305,0.6069069632003252,0.6579160072742778,0.5589524939982743,0.6151726178100433,0.8257133632271293,0.7454992227789902,0.7575521502078332,0.7351560149202001,1.1095876783640486,0.9426693145565086,0.9307889046430906,1.1170539160113102,1.2656217652569486,1.1704722725116932,0.9636931678826599,0.7809361625374476,0.6077396118702463,0.9631239383282413,0.9549314595487146,1.0379135585087342,1.1608946151635546,0.7516918104389809,0.579524074360456,0.4557360564600747,0.4561364368185547,0.4321527595850534,0.5109899157474691,0.5202670772113422,0.9440772199650166,0.5438210593631916,0.44457225199696865,0.5501186236676647,0.8782955965245544,0.41118229627671343,0.5355296401211065,0.9546754197080659,1.5603496765582558,1.661413295515257,2.0737756040135373],[0.4633422770365356,0.3900180901406334,0.3925284518130573,0.41039383257781414,0.40044166370468737,0.41391070352837467,0.27841224441130663,0.3959116241689494,0.356651494402,0.2886900710598516,0.32720114328486644,0.44872982021785307,0.31519781986570455,0.3203582442077189,0.42562359095552,0.36668278416878497,0.3736064853163114,0.40778345841838676,0.4779327895499259,0.4431895784172647,0.4831834394675943,0.5031942300386807,0.6084527164923309,0.8050885288665436,0.5735971613644887,0.5113920740646515,0.4405001524047782,0.35932348083280624,0.38660012174392916,0.40195555489191925,0.45355806618063177,0.4145539063039336,0.5346168296247573,0.4684131996092918,0.41065958286685766,0.40349675773008786,0.39907656364114574,0.3912859068422298,0.37085813847238924,0.37127790184154597,0.7972479646831286,0.5587956034580268,0.554455599815226,0.7111655254913453,1.0515100849624885,1.6560531796029745,1.4532832562124298,1.058418532238874,2.2519620614035682,2.3527198034156966,1.1865274819476521,1.5451769019626636,0.8294757226521815,0.8009350394838505,1.491109987002175,0.6283348857343142,0.7442601487476693,0.6464941920754835,0.7247095504722985,1.077174900450681,0.6611472156291536,0.6890104982690377,0.6293376926565468,0.8317679368575968,0.5974037765875374,0.5078190739087726,0.7280983741715809,0.5398472373825106,0.7805189877303181,0.6559034368622043,0.8714051428962615,1.0906793571815667,0.8516225559286593,0.9273017092808621,0.5858498551518103,1.1158546650972712,0.4560754118777537,0.48743258299632153,0.42916921687178117,0.44902804665197255,0.4602327619866182,0.4717119176628913,0.9831231489344402,0.47978124659648375,0.4546800738539808,0.3839825667678373,0.3895746607870523,0.5489144819016242,0.42063599609167857,0.5242390167898476,0.4691631561179921,0.7449399533561109,0.5728362202654809,0.4954555373198188,0.457740108411614,0.5725216252067294,0.5425883819713636,0.48235366083428866,0.46979498101135925,0.7393104590864878,0.497672239333648,0.518360858883704,0.41092497895262986,0.46998935792472624,0.47124701558011317,0.46066712741217775,0.6671869060833567,0.4670947296452704,0.5227098945220037,0.711458579484049,0.45540340569049104,0.3565277757941774,0.31498853331311466,0.33155807956040634,0.34315721116291675,0.35992341238391296,0.3892029212540265,0.4149410280620473,0.5488283822149744,0.4449731017650087,0.4141826484079965,0.35400287416762677,0.3620461466026149,0.29413473365126247,0.30440644019447655,0.38163980207736475,0.39496412894238014,0.39802155659571037,0.39815062667517354,0.3959436394112274,0.39922302319978964,0.4400297210342114,0.4183044336034403,0.47951089337938324,0.42802993545793405,0.48416404577372907,0.7327174664509035,0.4231862910705581,0.42038528258923286,0.3897868872591987,0.5820094801487298,0.6299484065907375,0.5256468210854567,0.376579785376454,0.36682840559475116,0.37805855739796457,0.333534791947828,0.334496410586121,0.324773915346423,0.3624615979636431,0.47100189173614615,0.5590278909588328,0.9044736381963767,1.6378586825664398,1.1126781246065423,0.6061763153136918,0.4248779944270356,0.4529039418389427,0.3680931881068756,0.4493355421460631,0.36466792979467433,0.3444024995624731,0.3392687792606574,0.3324630439895786,0.429423750043006,0.444237332288638,0.48973018060615625,0.6477675118822134,0.6853544077635007,0.6360410987299141,0.4793543542750155,0.41996318905072966,0.3988328111845308,0.35994543541663165,0.32444148483247787,0.40654250341454473,0.3844411446103705,0.6548047219551909,0.3943772006863725,0.43408347380458406,0.48901464805207956,0.37775110983692917,0.40265881518374286,0.40830111688212317,0.4380793163396719,0.5591903990581184,0.6451537430694825,0.6955169984836989,1.7557441653279333,0.869162300455915,1.0564318468941987,0.8172689659731787,0.7542250961989058,0.7060094260099066,0.5334915013442882,0.4792129653026561,0.4783519501646838,0.4341776064192474,0.4641614586691473,0.5256986953011201,0.45216057343390303,0.45775742422807597,0.42061125501574165,0.4702178103315996,0.4857991399661322,0.49597813824575054,0.5894730687107186,0.5451770654287297,0.61119153716824,0.5625275557870666,0.6174735140704227,0.6743313859343046,0.6840216254148951,0.7259335619629403,0.8063305458844251,0.7979684466134167,0.9293641509761233,0.8135949682076564,0.7081413359272872,0.7526041392535798,0.7731569947076384,1.717410360801565,0.9401417424805821,1.5608549557742293,0.7347207917196878,0.7368590990031023,0.7927093649327853,0.7911131557425674,0.7193511530607404,0.5498142733275104,0.8460736500833478,0.6287802555513737,0.7790988280896375,0.6330441498437989,0.8232000633178099,0.8361231912554165,0.867574785903572,1.1149784325780936,0.5875235410825521,0.5201840088849838,0.5476017418364463,0.6724370223891335,0.7503152408024614,0.9374258957936378,0.8249783575175874,0.76524017872819,0.735205112430509,0.8956685928720819,0.7622170377554425,0.683638424860956,0.8413463922251977,0.9239070020586586,0.7052286791341071,0.792948522070651,1.0169345535651664,1.0471395535730113,0.8110467365859159,0.835840621033379,0.75307211943887,0.7346255319415116,0.6831652721905185,0.664401319350464,0.6997828936414544,0.6343050535932501,0.6111625129122351,0.6338477320164135,0.6759160669156224,0.567789105549843,0.6143829742355748,0.8159381191564864,0.7509437514183335,0.7307711376649589,0.7086026852064344,1.088731723829876,0.931150917304266,0.9359661731063982,1.0846525869825177,1.2525362807674258,1.215113359132506,0.9865223067353917,0.7904101783577423,0.6376192588542847,1.0188985389665035,0.9935947757158942,1.0580665814581307,1.165368068627262,0.7511510820395733,0.584368561878372,0.4707096767299078,0.4604299841124498,0.42143144173033525,0.4964227728670464,0.5614056333019046,0.9857961861846055,0.5005408107094209,0.46715769341725627,0.5897991329073665,0.7996139796144066,0.4254374576659241,0.5194114652622711,0.9392559837510345,1.4522778407331725,1.801778479153317,2.3088837175539374],[0.4430783919863906,0.35182015654016857,0.413100005362569,0.3196420464088993,0.37899016299465266,0.4079487003512293,0.2749396493246486,0.4020432681648277,0.3009725096648244,0.2557937561612418,0.30703709755243763,0.4375771204605985,0.3012681941850953,0.2870518882977659,0.3694880514197155,0.3291913381641257,0.3361758322429306,0.35439165326253746,0.414961638296492,0.3749987522092832,0.3949057332496963,0.41436356977354466,0.5276575664477354,0.6877197333020261,0.5849365376529024,0.46571861193405045,0.36985668335145316,0.31477377180288496,0.35052906603120515,0.36230988258813873,0.4004185163320934,0.4006824308089295,0.48104395983182596,0.443482246559366,0.3986861606021623,0.3646808848932938,0.389631804900615,0.35129076060198333,0.3380879686812138,0.3386580801609734,0.7503015622483241,0.5049749343993145,0.49087636330771056,0.6953476064277231,1.0296074540283917,1.8005039218513654,1.5783091999938725,1.1118577734680297,2.367347633727165,2.611326512333935,1.3209108863069436,1.6451934116123346,0.8337955127950417,0.773159154225189,1.4702832096647052,0.6157047087665096,0.7523271982796654,0.5675046235104537,0.6759414482335071,1.0341431662170246,0.6057553434258638,0.6639105015782085,0.6140246424091984,0.7271244744615369,0.5106601693486672,0.4641450744387445,0.6372319482765206,0.47643858479618867,0.6919393526393566,0.6119088293640456,0.8474125661690242,1.0498659851967436,0.8141317722404742,0.8148559560183197,0.5223306823997881,0.9883415068447209,0.41546466415296524,0.43631578504437246,0.3979418015835146,0.4010666739814016,0.44246089668463273,0.4347789125393617,0.9306409513567507,0.4915280570572399,0.4111750027614138,0.34719145360497555,0.34312731354211257,0.5427191960840068,0.3826233489133684,0.5231346116021124,0.4098929457429209,0.6409658362354959,0.4921575179452123,0.4342097881655019,0.40666226492848595,0.523548520700198,0.5011510637436872,0.4533000796581793,0.4626850199655114,0.7234877067697935,0.499108076169433,0.5598642933110177,0.44197368566550915,0.5166104308631981,0.5191355697746391,0.4821493349141167,0.7164419265275015,0.49390641049537953,0.5459107170447177,0.7043952515582014,0.47794620444385544,0.3716846687865723,0.2946946776024225,0.3296745499180854,0.3397940902436725,0.32229160287012565,0.37826776362824344,0.39762779813111887,0.5159476946628546,0.41984226150612874,0.3924387669527346,0.3458866930129216,0.3254292601434464,0.28204403653131827,0.2940230258837744,0.35848272033465095,0.4034730768391722,0.40512552882960434,0.4051551376175875,0.39761247380840015,0.40232359660565603,0.45695429125280723,0.42483972266576225,0.4977030465419593,0.43340263139176116,0.49068786195256087,0.698263021973766,0.4265893931232536,0.4174690107138699,0.36719098330704153,0.5579667103887453,0.5718753418147956,0.46220873912936405,0.35654306857258383,0.374297899399379,0.36702739368564397,0.31840505625442195,0.35204590558510857,0.31789198807952435,0.3646513846054549,0.4849991073087575,0.5244040403531048,0.8960082497999221,1.4545515022967015,1.0055668238238986,0.5829639882692765,0.4307198581718016,0.4690273515700026,0.3737979176330099,0.46497476734907484,0.35444020428202977,0.34808918918512477,0.3451216433878246,0.31531658872618673,0.4665958334472202,0.44013532934437666,0.48642948756400795,0.6330239413175893,0.6913279736185848,0.6315642828688812,0.48121508060748647,0.43190529023590585,0.4256146410887085,0.3674380951947787,0.34326182896820334,0.43077415745713776,0.3855602887586476,0.6707429572078303,0.4213624414257582,0.4875392645120246,0.489958479031058,0.40368323857654814,0.42779928170330306,0.43588074987101977,0.4458798863888832,0.5603986788579515,0.6415905898867631,0.7416837185875385,1.6856342276022511,0.850271206272927,1.0490953441271318,0.6982152162504524,0.7261536028013267,0.6903418812919083,0.5252742989928686,0.48261809658992116,0.4803618258485854,0.43852777869334414,0.46097739944572574,0.5062031302090237,0.45564076905950435,0.47028741457954487,0.4268434997321225,0.4708835029308542,0.49621368470698524,0.501802296781129,0.5729533639955636,0.5428092728581753,0.6240747602677751,0.5474453449798206,0.6117495314008361,0.671992558359121,0.6801647304083358,0.7076923633955341,0.7936166894840033,0.7829829824051086,0.9166123268525141,0.8093586503555273,0.7076962391938874,0.752613652036884,0.7807491881645184,1.7279578897332657,0.9710901937338031,1.5837055899619965,0.7637867945736736,0.7761549504933657,0.8293717839695608,0.8122815534944097,0.7694532922836346,0.5774255637595614,0.8667244555631162,0.6278041226782755,0.7924389431902781,0.6459469978376726,0.7981831363285946,0.8299887196573221,0.8552296778483219,1.0564804215997055,0.599540100841651,0.5341393408898991,0.5612258773294045,0.6730818493197666,0.759055338201613,0.9841803661746324,0.8538601229481527,0.7969123628287214,0.774008771551497,0.9181374878424983,0.8095996910323232,0.7229345409715348,0.886164857086726,0.9719018038420447,0.7411444087711098,0.8316661990122708,1.0508853655387158,1.084374429280217,0.8312824887022091,0.8591793205166153,0.7745818578144613,0.7649138595038507,0.7180781707134251,0.6940221712560978,0.7299567131923271,0.6510395587288546,0.6344589061547588,0.6556670954587233,0.6850760824625278,0.5744359881151547,0.6241710503755723,0.8099169850965281,0.748065099342747,0.73592712627759,0.7120652317708572,1.0866142322983026,0.930902412167297,0.9413827449786059,1.046218722270399,1.2433241370102324,1.253792327991928,1.0259293619667782,0.8025266732301181,0.6664228594884629,1.0988294161783878,1.0439175258814124,1.086009465764954,1.1630557938167252,0.7496956257648052,0.5711384287871482,0.4610507654515087,0.4447369830787243,0.42906653264476513,0.5175534927436413,0.5710007779273434,0.9425458107748874,0.5250377474840121,0.4716592906251769,0.5829246003245682,0.8127494012863966,0.42243266010019287,0.48582395461787264,0.7318797942651181,1.2343889960231422,1.6790653579891772,2.2519997411384507],[0.46071534926676866,0.3835359206991068,0.4381114098926433,0.3421114225293936,0.3899395453225113,0.4207203367415953,0.26870160025232537,0.4083538334635855,0.3074677554330561,0.24455201365593895,0.30394609682515067,0.4313725745775077,0.28622482007313144,0.29031493001930936,0.39627618605741405,0.3387823559832147,0.3467311549353131,0.37944466308544106,0.464615698980722,0.40518364318044975,0.44535939250224177,0.46208225193044744,0.5734049087231914,0.7619847499024679,0.5690848150537704,0.4945384508243753,0.4024440598001401,0.31622456983108727,0.34669451925974687,0.35746106256185506,0.41977051158343137,0.39342161925677116,0.5123591692918137,0.45172247982619407,0.38406879208942535,0.3648376949280756,0.3710221685098249,0.35495646673021547,0.3386650668447869,0.3434740884773182,0.7833338166082671,0.5458456891467257,0.539301844340123,0.7130192842984545,1.0677382178113644,1.7599689021452305,1.5477395703499381,1.0974273037085083,2.3312037145631948,2.533487058550516,1.2807855916127526,1.6112384775446227,0.8132062939382072,0.7626532065350792,1.4633358446217863,0.6209119763840141,0.7561751909039698,0.6149148664419933,0.710278425921417,1.0701698888070623,0.6411122385501508,0.6615581755151998,0.6088541390070682,0.7980182460549183,0.5603416109671095,0.4771029243552493,0.6928661061923197,0.515679909903211,0.7556393990872802,0.6543985526456283,0.8559499724601366,1.081689966953961,0.848248967439996,0.8999092099267397,0.5577386297943464,1.0838635461869814,0.4295117952054806,0.45253467748790527,0.3919781627425656,0.4110751661564704,0.4415007416542705,0.44926955042018063,0.946183378752347,0.4675941465034668,0.41688210402110043,0.3443996361978616,0.34827034806200086,0.5229439015256525,0.383447629077054,0.5225148326070599,0.42962871027613,0.7071505047132907,0.537999201511692,0.4724839220805653,0.43235962499389435,0.5507374250453665,0.5215711962333771,0.4605170772988753,0.4639539816786857,0.7430778168762163,0.49884161502628027,0.5530828611062464,0.43329429421364596,0.5075853855604251,0.5028698117542454,0.47900791303465357,0.7139101325408311,0.49250269765332594,0.5470513970581593,0.6979225683784491,0.47685680979158396,0.3633529131771313,0.288677363579774,0.31464998509114656,0.31975266319167683,0.3104582227422267,0.359519667291732,0.39048343789458606,0.5398858068010326,0.42152532694267064,0.3936338813435822,0.3386378764582174,0.32883027569750084,0.2474700618566331,0.27176345308365324,0.354062276647892,0.413707227148155,0.40690485000489257,0.410021811017639,0.3963812439785037,0.41369865976746295,0.47156346106547253,0.43196788821555643,0.48958850843988233,0.4273262674056634,0.4803194190891702,0.7037390069273601,0.40047520051464736,0.38638997959875493,0.34340545528781447,0.5514123538562766,0.5876669550217403,0.4724685614185422,0.33896757267121397,0.3556429594602082,0.3613911317816927,0.29670568706339817,0.32872287127998595,0.3033333456016168,0.3566558267957522,0.4802365383392032,0.5432518380776152,0.9269458125030684,1.5313537754322828,1.0333450696218343,0.5982550691491679,0.4314316541151039,0.46441357875004363,0.3669237533068996,0.45661558868972335,0.3356075583966455,0.3292133109582509,0.3081220989591475,0.29000711900353515,0.42573398045644134,0.41681114387778306,0.48227736117552517,0.6431276826817839,0.6955725468990148,0.6270945573932618,0.472936788185835,0.4048206020567755,0.4021241000370094,0.3406578991157629,0.31784396808597326,0.415462013800142,0.3820168678091794,0.6653129708740129,0.3975358951133698,0.45825614469526826,0.4772439595846826,0.3835529928643185,0.4124621924729804,0.41684901644746325,0.4311608206062676,0.5609405027580594,0.6555554946703679,0.7198421184592881,1.7252988161166325,0.8473653800806353,1.0551747889014222,0.7036492899736841,0.7255979089063986,0.6945060164063495,0.5350181816766418,0.49693154189484184,0.49425331299315695,0.4611609503627998,0.4869577868103964,0.5277930327019733,0.49718679848106306,0.5127526294719885,0.4564875542330122,0.50895508580103,0.5537602908861726,0.5510104575935303,0.6073925926672202,0.5982831340164032,0.703351578420755,0.6014683146172577,0.6637081865328603,0.7479358822097281,0.7569174929559442,0.7382860093963207,0.8552443900700873,0.8178373526984601,0.9982877460050561,0.848611743981615,0.7657854992993574,0.8390553697638563,0.8611873060759838,1.6995772610691509,1.07305982153616,1.6120608167248112,0.8373385996358822,0.8526532169174662,0.9065540492297265,0.8788294174458363,0.8397025829461534,0.637896743333184,0.9107862760561443,0.6686613366143596,0.8297498299787751,0.6906603203995135,0.8201293134183396,0.8915388931483184,0.8870294273776512,1.0775374360450882,0.6289161668832518,0.5613344482143948,0.5983875976656392,0.7197093924654426,0.8086678469827754,1.0487477291250835,0.9080714161771432,0.8542790505138618,0.860202435028893,1.0048356954007154,0.8791042643724188,0.8007939453201129,0.9886618586092815,1.0662986240823695,0.8339149308220217,0.9486820568108653,1.1688540752433803,1.1811299125613148,0.9414590881368572,0.985244301922801,0.8827487981671369,0.8773267848743683,0.8091695626133273,0.7839547854388746,0.8269423930274455,0.7206459130442522,0.697688036479126,0.7333767143389593,0.7507385590501775,0.6238114090353177,0.6900751987860096,0.8663826958037752,0.7897123287075728,0.7773351729024001,0.7693259722559876,1.1460288301785635,0.9700368008246324,0.9718526430538759,1.1060965396053462,1.2607943079036417,1.320476973774312,1.0556271770850145,0.8134617957835195,0.6706220685866633,1.0928983669928618,1.0758076066199203,1.1308404118533542,1.197949918922587,0.7763923158773198,0.5962160111900666,0.48164420430221117,0.45485875375677265,0.45015923790700235,0.5400475663432559,0.621628210475766,0.9684413792351246,0.5475761204883988,0.5306920674727197,0.6425478688421487,0.8280903699749477,0.4761709639193321,0.528099692515714,0.7410522251332653,1.2362351828929525,1.9765678705604741,2.661201096912473],[0.5002912565313197,0.5012955293978918,0.5915797803703179,0.40172208655367364,0.5250617784758317,0.5254263060988691,0.4531275241421483,0.5156519879487694,0.439683739742535,0.4260945657305144,0.47717818721479227,0.5826494263113374,0.44388581243279823,0.42428869737246716,0.4683668865180253,0.43674057825738655,0.4089804376849706,0.44006461222422993,0.46974173784386003,0.45246292441847125,0.4643441607296501,0.4624678396770912,0.6061535390604813,0.7405491996830282,0.7135210185055606,0.5323509052069606,0.4242544053834742,0.43076815647157224,0.4475492180910628,0.4601415617819955,0.5229922892602269,0.5192406142783239,0.5900311030115886,0.5428967870090688,0.4975604186548608,0.45509545621322517,0.49860713225772696,0.42047533091732175,0.42162668377129714,0.4225229973409475,0.7294575033032771,0.4869403765522687,0.4541915074271842,0.6844827267666409,1.0082422035160097,1.7654483769197469,1.58264587176781,1.0764192357339624,2.2800672072648642,2.6595931737258285,1.3365533903585458,1.7106945367823705,0.8823422754118655,0.872149824726965,1.4458632019276807,0.6228681490265889,0.7594065166363979,0.5233139415875051,0.6294178692069575,1.0618056189409277,0.6338588512222262,0.7045190925004517,0.6706273244086149,0.7429891885484603,0.5534357395022362,0.5282471427408373,0.6678648328355988,0.5378544761613056,0.7303017741605111,0.6811274328879318,0.8648969456443606,1.0811409588498615,0.873646993795962,0.8699435301132062,0.599578085938815,1.0467948675623295,0.5050184060969761,0.5424279541258665,0.5039523043333315,0.46866591542771785,0.49840345367604433,0.4975340846384018,1.009244265788444,0.618408557425604,0.5191612991241418,0.4558960506048174,0.4173975403121072,0.6021550275531613,0.4739947225973764,0.5801180520794549,0.5002153709254982,0.7359115360183438,0.6014863288710371,0.5502097422295885,0.5236909137580035,0.6431036450729806,0.6020406553090458,0.5718710566546215,0.5763689734975069,0.8325172843375321,0.6070508182454322,0.644937666572,0.5530199783573957,0.6302937242788719,0.6520070459778015,0.6148754900982705,0.8481705412123789,0.6824970826589598,0.7304284106006055,0.8385041379561881,0.6452655489859079,0.5428692717316844,0.4591793781459222,0.4434330160029474,0.44230640965992485,0.4071236862560721,0.4781322576852443,0.5092309966994735,0.5766025253868305,0.4587149899120061,0.47827472814767175,0.4457126557152677,0.4424683139917252,0.40180220423426627,0.41260176955485456,0.4574598989772576,0.5480666342150327,0.6064437258887969,0.6078359756574667,0.5817364781048521,0.6038805567174296,0.6382063674181284,0.63531056446222,0.6311427062531052,0.6168680934625225,0.6804345356879409,0.8172717580216919,0.612601986870967,0.5659362401435233,0.5000535602885193,0.6990538793302976,0.7146820747657389,0.5795803984454694,0.4573584959554643,0.4001940088125453,0.4463657411450577,0.4231327686482052,0.47823164841255406,0.4583925016540788,0.4790375825186977,0.5892195132203235,0.6262645729040163,0.9919946995581889,1.4364323742807312,1.0616307801056089,0.6959102380221827,0.5426645820742323,0.5744808959945439,0.49504586075961987,0.5864766969851476,0.5108581944052963,0.4705930013401706,0.5270431179591674,0.48855617864014583,0.6308296075642861,0.625158710925421,0.6664116323292272,0.8172367618901696,0.8699648652514752,0.8018747806126576,0.6439253397376153,0.616196073829982,0.5991798664706219,0.5350366709918704,0.4894332300227364,0.5608248551951815,0.505022253783887,0.7637427255841499,0.5501445165269905,0.6252871186325457,0.5490346741152969,0.5694621771319308,0.593361760593831,0.615174377202737,0.5772438874770498,0.568868443616399,0.5835826310251772,0.8011722012553244,1.689147735231067,0.9699456710975898,1.0404462839863993,0.8165900899553801,0.8840428468238082,0.8679305501856576,0.7374741943234859,0.6911935800350991,0.6885341121883019,0.6598504291184849,0.6834348182705978,0.6673661437326028,0.6803684119017405,0.6709938450778409,0.6315665388768255,0.6904257374408649,0.717701029580897,0.6993546880079679,0.7409696563246433,0.7659225560969303,0.8325616137333433,0.7415182085454962,0.8080800689384041,0.8832735646813248,0.8826004306139698,0.8526327026998581,0.9705609483150509,0.9523504260180521,1.1203258685882775,1.0078108622842066,0.9221001767558114,0.9822774173189,1.0205137772649402,1.7027540782582569,1.1981529971461267,1.626311424654265,0.9693878183358959,0.9798948230844946,1.0215966631934843,0.9874079764667054,1.0215842339436398,0.8271026369335629,1.0310727439756404,0.8488795621411063,1.0028805708631279,0.8908235869500037,0.9827460097901055,1.0948085374664815,1.0617336137045323,1.16029336952242,0.8106246745717949,0.7178394508375255,0.7356565350935942,0.8202206273836488,0.8884829487097223,1.143037149534206,0.9845255075455791,0.9547929025425135,0.9527224247149387,1.0645155597400286,0.9644023016222053,0.9154488331505224,1.081348756086654,1.153412920906281,0.9493272427830248,1.06210797974349,1.2638500702060071,1.3112243904678422,1.0635562257866584,1.1062724373320083,1.0093942692013345,1.0017554278909055,0.9346437253067694,0.9218000864797139,0.9659725844384783,0.8774576044044353,0.8632098407090443,0.9067300506753005,0.9203847996494683,0.8204858580809964,0.8940284137065788,1.0432775741258118,0.9790053398305124,0.9789850630318746,0.9769416606687501,1.3259098136998642,1.1589203424801984,1.1503697510203428,1.2890042109861848,1.404685567248004,1.4904595477831775,1.2395553831489021,0.9653093616811911,0.8203607349956386,1.2759278323619958,1.2665471285387317,1.3217525937819887,1.3335190323513109,0.940740840072093,0.7502967493792692,0.6564719510502387,0.6096556732430967,0.604605988702804,0.6992059029033799,0.7459199259907086,0.9543016640369992,0.7142433249090836,0.6752643746529774,0.7266237896843599,0.8965113872460223,0.595843824712719,0.6892125931291213,0.6978189076870971,1.2173953538042337,1.9709664308618464,2.861087749127365],[0.4203224479421139,0.4745167229884204,0.690722364442069,0.4266423647507931,0.46678287704871024,0.5202012618294805,0.4644942238873636,0.5543576997309388,0.46834946913620895,0.43445246730355763,0.46128525742986715,0.6073569625225675,0.4512682358483496,0.42872873898301,0.4874787181476866,0.4752809821439913,0.47494513174662933,0.47033556620498074,0.5062125621721668,0.48514708865723233,0.48091295864092176,0.5074562329850415,0.5985858564068743,0.7347213699705274,0.6785133652375557,0.5588945227692038,0.4977019200704951,0.44152018220041456,0.4915295224060632,0.5055064722538699,0.5272466073793488,0.5377216798271404,0.5883890087375575,0.5596110399462307,0.5496284731930292,0.4906231749307363,0.5380910931105777,0.48315752360616815,0.48905047672301444,0.523489209947913,0.8248459290522077,0.6058009925949142,0.626046190093092,0.8197026634217827,1.1391482421720827,2.029507700121811,1.8647541782866803,1.334600388196287,2.56105043003244,2.993802950953164,1.5738709738689687,1.8253544037262517,0.9820387593425847,0.8277905627219716,1.5137613460265749,0.7795750148445432,0.8739106077205543,0.6621391414627945,0.80126634938635,1.117682887667946,0.7136574189066578,0.7243088204189613,0.6587752473814884,0.7235764890111414,0.6063914206908981,0.5439573625512946,0.6615025171865087,0.5584823523645056,0.70724030784539,0.70789862343437,0.8621795250369952,1.0178099141250458,0.8891796924365235,0.8582894982323264,0.5971687652707444,0.9986570096843485,0.5334625706905253,0.5342452980038874,0.5104059985777062,0.5504190988772368,0.6084824745421805,0.6009413125443934,0.9359796447207439,0.6072626859903636,0.5644579577263795,0.5409128333962689,0.484282123159923,0.6260196963487301,0.5071006368668971,0.6227446453077681,0.5142576836989853,0.7124194330648537,0.5627285231273189,0.5397130347522479,0.5144469699823895,0.5852335098133747,0.5882082727263028,0.578338251276931,0.5800441049001855,0.7739834573535995,0.6201089872570691,0.69233606602565,0.5926963892649252,0.6771964431680136,0.7128521447437933,0.648515024631887,0.9023727328550014,0.6963185534664791,0.7150316433688269,0.7921002534794183,0.6414096779084674,0.5686232359492948,0.49714386779939157,0.5091362703151752,0.4681456489168387,0.476163787704813,0.5001253427445621,0.4867310920085248,0.5371105864302154,0.47943036495977936,0.45403213862740555,0.44096825463886447,0.4457435166154922,0.4355606851305361,0.4586068453987634,0.5342212697166249,0.5964555048927582,0.5511173908207598,0.6034232723463607,0.5993111658121518,0.5945895261146694,0.664636855894155,0.5858155217769588,0.6787472188309811,0.5655230463319119,0.5772113551992036,0.8059866811841666,0.5701205958196408,0.5408817152513371,0.5000028965429432,0.6007368407869721,0.6305451761419134,0.5432975454686568,0.5069569950956784,0.5885412187323431,0.4927225896061599,0.48338018337918504,0.48801380336467093,0.5116611680743354,0.5318276501464093,0.6491626730404786,0.6101883191350167,0.935129324459664,1.2176515707612847,0.9479165697319852,0.6510437038633698,0.5543917640207089,0.629768418444064,0.5212259510099854,0.6398780435641475,0.5335281675257194,0.5057743751636887,0.4878730067253672,0.4900939880738675,0.5938834056884083,0.5608715481540268,0.6192907627203379,0.7283408036259397,0.767043582172103,0.7245151458554993,0.6071993007610685,0.5515082590501132,0.5581829022806933,0.5688862587114757,0.5412735897400925,0.5967971891984015,0.5328971935632287,0.7926856332238562,0.5744312217725575,0.6629822146058136,0.713811856457847,0.5990784939888747,0.6209790523073049,0.6443223858111984,0.654589655037485,0.7734241425671697,0.8334667776518049,1.0540703739454442,1.7627998374812448,0.9145740568772353,1.0804358124696447,0.6972020627115489,0.718538283389943,0.7059485365000779,0.618994430196643,0.6638498250757797,0.6504007626417634,0.6591977447629517,0.6574437405386184,0.6530115516373056,0.6481538133095901,0.6334315389429628,0.6221214728276175,0.6337842621678096,0.6515807911878556,0.6541126305676342,0.7065653071428666,0.6595959142935744,0.7435709132099776,0.6616635171895834,0.6831047781223842,0.7500573745602943,0.796664287888406,0.7272263830705711,0.8138852546368895,0.8119414255576297,0.9535924477084081,0.8587352478254779,0.7725174957789904,0.8298258024687141,0.8654132499085297,1.569508652840466,1.2017731703710548,1.7192907258397974,0.8980216893926325,0.8874772772983771,0.9195031543180814,0.8675882312449034,0.8729629637032333,0.7226581585641337,0.965882072694182,0.7805568970012995,0.9694743976152452,0.8314389920504993,0.8774852403634071,1.007647296285626,0.9399473680720546,1.1160602187345714,0.7797675419380623,0.7051905984911472,0.7041137060454464,0.7821986600664531,0.8482455317711517,1.094996241649285,0.9138228045568388,0.8893904326140789,0.8805054122171352,0.9972935284753024,0.8817574407767692,0.839216950924924,1.0054723682435944,1.0839883419581404,0.8907771494808226,0.9825311205673456,1.187493411584049,1.2657307310359922,0.9836251084806039,1.0230288974140807,0.9011166373404328,0.9014234363306656,0.840601243687087,0.8122628739388428,0.8339155230749841,0.7604990430145872,0.7690815240714414,0.768931574274088,0.7816500404858048,0.7065641652402028,0.7793183871722946,0.9136716475599974,0.8447038586143613,0.8468696691596787,0.8388697083856175,1.1849733114957992,1.0253162978988717,1.05174137850422,1.1489715468106454,1.2690301884807855,1.3650361466930068,1.144808757066867,0.8804904421635201,0.8049063313134044,1.2868832074182261,1.2147621995685525,1.2314435415612037,1.2502473566912402,0.8990419590918681,0.7395485537479738,0.6240632055435563,0.6413737205801414,0.6965985842323252,0.6850524069075917,0.6801748646947336,0.91443866476636,0.6767829301893615,0.6300824826503282,0.7399425344696766,0.8725746649098606,0.658632650648582,0.6898126128328914,0.83510672324956,1.1943118093124176,1.851157383064228,2.8143574369060587],[0.5013274937141513,0.6026444991040553,0.6915547032182859,0.43803670229273906,0.5600077699522679,0.5267841203498145,0.4820931605451601,0.5413460107207357,0.46856711276570046,0.43416361459677105,0.45964331472527686,0.583729977510335,0.4408361384664865,0.43189287916416125,0.4695708679001426,0.4505612530030869,0.43654400124039455,0.4409189801021407,0.48617207504744364,0.45706365214808437,0.48384650493131004,0.4960543482996874,0.6474907081157141,0.7678947362441202,0.7433765998317713,0.5493795350311572,0.4511009211585296,0.4399516609773156,0.4671499113977769,0.46980059007943653,0.5020773313155897,0.5163082140607732,0.5695260745679106,0.5403334193950938,0.5208405168177054,0.4611692272687812,0.5130670088790246,0.4483147393697855,0.4577318856169606,0.4673934270807132,0.7443869510348442,0.49418832759886566,0.5042133464290989,0.7455434046157118,1.0576204983127673,1.893083738352934,1.7827122011065977,1.205198770200686,2.3553310203339093,2.9059204354790333,1.5202852070487318,1.7738761324707408,0.9405337098515345,0.8659928264317698,1.4396744632103704,0.6893555075386049,0.8026938134824689,0.5811493000883057,0.6711279880574375,1.108562221853726,0.6652185726893587,0.7040201407642429,0.6603808553079252,0.6980294594955596,0.5823055062995972,0.5381545556705541,0.6517656087621835,0.5404399753655889,0.7173768333699186,0.6953928171862234,0.8912434822391101,1.06265509013596,0.8935804408968413,0.8786868510927797,0.577001232739821,0.9843234338796722,0.5102830013591972,0.5318469432838392,0.5085545819074048,0.5120069129353525,0.5363050281162227,0.5406265663141839,0.9705191669901284,0.6295222586537644,0.5638265154295665,0.5013029379530847,0.45137944088839116,0.6076337954310276,0.4836527655195272,0.5967424853928005,0.500360782461945,0.7142944278412985,0.5700823773728705,0.5272485097623181,0.5138464731833147,0.6090236944990288,0.5802709936457738,0.5606121858663748,0.5613628148420906,0.762663779479622,0.6009099293968992,0.6771123898712006,0.5670877703724896,0.6698826485310762,0.7468769458196215,0.6704727973267749,0.947767257320022,0.818144065954569,0.8460952193245863,0.9046953616600465,0.730713439842185,0.6253196613072511,0.5043266845760103,0.4846160044198663,0.44717316052175055,0.4426083956371279,0.4743816485061,0.5050553023932808,0.5795002988682917,0.46845104710790403,0.47773585433707977,0.4479615026241806,0.4593134312486927,0.4175330938142341,0.436903176626274,0.4970012362002758,0.5957777155528701,0.6606549941264696,0.6902941241679033,0.6751026008257651,0.7046744733407498,0.7456128960660395,0.7242996067756474,0.7299018487485389,0.6808708315285361,0.7035484646429682,0.8751401785402455,0.6309906207331015,0.577782785974096,0.521643059138519,0.6737922623673833,0.7025328829260824,0.585383971925826,0.48771227145682183,0.47267820811599737,0.4634201238116838,0.455737631383548,0.4875145400549549,0.4986133919840474,0.5264715116384594,0.6277666505088504,0.6201865874151689,0.9304312945858476,1.239313338684929,0.9676529413091445,0.6575374881391013,0.5433733920993182,0.6128601159234953,0.5167351391505652,0.6456063732634034,0.5624488518561885,0.5038401256958489,0.5583335930643226,0.5282070439907715,0.6601551110669492,0.6512517366452548,0.7135481151474259,0.8717010609882039,0.9361262407907409,0.8396768925674678,0.7018929989857435,0.6321638457388135,0.6284623981481569,0.5839204243489116,0.558882945341389,0.6233656605407875,0.5527861453073198,0.8020356467368871,0.6040650064388494,0.7082860266675166,0.6408852908081205,0.6385729718926463,0.6685767728547118,0.6978380923836913,0.6611478691055175,0.6729832544666807,0.689529496265297,0.9602318743532261,1.733437652883282,1.0701584490505427,1.0386928374293798,0.8445446250762613,0.9040495973037013,0.9058232398592154,0.804883477956066,0.7890201489383963,0.7692699409639542,0.7828389673097914,0.8009931024162376,0.761030581999868,0.8203126636152076,0.7880566035986519,0.7525154971169293,0.8085703773534726,0.8403633312383528,0.8136764910100022,0.8186077852816055,0.8845762583650975,0.9371050295549048,0.8508537392382954,0.9116771241687714,1.0111031272645472,1.0229526554430894,0.9484245109365789,1.0778173092818708,1.0327923044952536,1.258558585665071,1.0824276225011287,1.0280024797399228,1.1017034164162585,1.1508347607036857,1.642492075140027,1.3205149956318876,1.607512299746217,1.071578574013859,1.067159932410615,1.0960717395649875,1.0565460869965817,1.1379502996617463,0.9499725623509243,1.0925589532466184,0.9813584324322625,1.1275526574287105,1.0084763434637958,1.07571073955877,1.2615460117970398,1.1555052520230928,1.2292830822239458,0.9383198038615869,0.8602684578376999,0.8519221280096713,0.8851291622551649,0.9300710954574679,1.2393618869166854,1.0257131605490035,1.0129336148061097,1.0082138086293908,1.1016462009120023,1.0003749708800118,0.9910534699419666,1.137887519575879,1.1982233865446215,1.0429549521416313,1.1514355221615917,1.316391539265278,1.4020962005705195,1.172198009369674,1.2104979838922334,1.1176722605431861,1.098041401075705,1.0114028452658155,1.0072640386724392,1.068035369772306,0.985438839960963,0.9765401405549459,1.0257939065625044,1.0289434472439565,0.9461060460590154,1.0279423156302119,1.1525201577588977,1.0768359529833895,1.0988072606359462,1.1091687408815623,1.4194788620242706,1.2104959331423986,1.1901214315113176,1.325744744124208,1.3993698131884627,1.5397358441917297,1.2572213765392286,1.0104343838761363,0.8539095220213955,1.2913291138832836,1.2955474363453767,1.34639095879405,1.3366615627714056,1.0015916680451085,0.8031237437756328,0.7496298979633162,0.7050121773430137,0.7545018914014466,0.8161224429549226,0.8233659701422148,0.9407833762315755,0.8159221647720133,0.7722432491547965,0.8214366424495919,0.951687766261856,0.7164103129214536,0.870088595332958,0.8610493578222815,1.1545489793235875,1.748904961513293,2.7895147289631206],[0.7088824882345667,0.8096801766312279,0.9566808704900004,0.6280301585695637,0.7727694592855042,0.7025799867637444,0.655422678761892,0.7257297020929958,0.5471316545324146,0.5044986062090729,0.49158565165489776,0.6482056532860528,0.5513702305158491,0.4560596055919106,0.4863407821693792,0.5297263861238596,0.5096792091742544,0.5007298856101696,0.5180291189777008,0.5539421258823717,0.5614097140222131,0.5773779694211104,0.7707928530264141,0.8635382624197517,0.9151310625894237,0.6572357019967872,0.5675281741524061,0.5702767576032782,0.5782929877768425,0.605343910297816,0.5587671331807506,0.6374509641436309,0.6679824564023211,0.6291968261493006,0.6424980239513847,0.5769576839692785,0.6740959535029829,0.593680093483749,0.6195454669190292,0.6680598021829816,0.8593388737885795,0.6073118565423508,0.6229409772975846,0.8431518877643881,1.0741376975741896,1.9574678677557902,1.8886075627196917,1.3117761001443802,2.421799864054921,3.0572708106524042,1.6858268269180448,1.9431945212404107,1.1027723916392973,1.025685182821903,1.5097357321396707,0.8387925506165319,0.9007019594143173,0.7085725013080333,0.7874933627353073,1.1334999817314055,0.7377569135586666,0.7907888107635463,0.7387992218426193,0.7472204323116595,0.661142506966986,0.6344306092946999,0.6339201684238127,0.541039168728038,0.6680111066841404,0.6693003460551384,0.8299852865727756,1.0064968192034285,0.8397900204866452,0.8097247534549592,0.6079376188342268,0.9556931163884305,0.5882631489322847,0.6231823169041459,0.6290789153479394,0.6448746133489626,0.682811514621064,0.7210264535015297,1.1011228040146084,0.8908573004523243,0.7906291036485905,0.698067313049998,0.6302347051608219,0.7344785084654448,0.6161557041089767,0.7121750600499149,0.5461257550163988,0.6716025095121918,0.5637854156710114,0.5659015815248565,0.5504203709017994,0.5933800417832464,0.559777864318236,0.638476470526585,0.6691545698165534,0.8861884354940558,0.7419718184841456,0.8916612866676616,0.7846802192004714,0.9009295078115441,1.0192489038997898,0.9347659450696302,1.2225033335881357,1.1194798849005168,1.135480180645894,1.160348614525305,1.0084412731128527,0.8750634792206446,0.707419488236546,0.6607273704682917,0.5747230242164985,0.5572890743078847,0.5951524849040899,0.5830558758626422,0.6013731566532211,0.5273029898662386,0.5171759936839306,0.5220158580363753,0.5269273364262556,0.5115431912356911,0.5571690908375571,0.6559939086634677,0.8042776594897311,0.8944109134809398,0.9688510780926949,0.972940458069584,0.9938791004863693,1.0511832134086572,1.0180443771565295,1.010754600049385,0.9529000410926696,0.9508921133891056,1.0537423884779067,0.8355911114064755,0.7377250687624942,0.6782217884442201,0.77170819470596,0.7958882167546221,0.6721486403358662,0.6144958689748389,0.6030391496595487,0.6027590051941806,0.6013989500403907,0.6577611179741919,0.7073343011833585,0.6915591716831864,0.8436823044692905,0.7894008877016321,1.0801257618913802,1.2510902588758932,1.0329783206094123,0.8226464361979515,0.7071687499577046,0.8283883889618457,0.7149295328526304,0.8568580113826303,0.7972306529976487,0.7035751177651907,0.7478352039777977,0.7405975098966922,0.8875733642010483,0.8494948935571696,0.9264138022003584,1.0564156390314727,1.127461079227958,1.0142248743426325,0.9105854779827071,0.8516568638786919,0.8727429640317257,0.8249933933789929,0.7962987928690626,0.8648476201796459,0.763726016402162,1.035771722169225,0.842360990585951,0.9920999122995579,0.8451461754765318,0.9084225900625001,0.9488590434975651,0.9696516744558789,0.899361079326094,0.8483650971886223,0.8217302982687759,1.0988409628256794,1.7377881656267622,1.2558210233232254,1.1393093678916602,1.0035207047847294,1.1070919762244076,1.1194855470240759,1.0604870731089835,1.0617330314493851,1.0428179961235913,1.086550069130925,1.1058074528360642,1.0608558674858806,1.1579958765443554,1.1411572429772598,1.074546476501245,1.127303590773723,1.1803493166405943,1.1426781552110525,1.0921285660468454,1.2006628838880151,1.265055447143441,1.1602818451214476,1.2086947433735167,1.3014134758904852,1.308724477219587,1.2125773626255967,1.3118124518388337,1.264929502683841,1.4730594279711557,1.262245103721536,1.2810704481772963,1.3435363627296784,1.3897899300754528,1.7557421839558787,1.5410172838875722,1.735386490277965,1.356407702449635,1.3617204231175013,1.399554103607317,1.3647189802844242,1.4178941259863818,1.2770632434505036,1.390980608244041,1.291283376085144,1.405442209630604,1.3058866180354654,1.330014721331563,1.4921812191412025,1.3516251785848463,1.3672248873271537,1.2101465733234458,1.1850207921727884,1.1963306831335907,1.224708495646075,1.2675418118352617,1.5655231081679728,1.330290499361942,1.339124247985063,1.3391923910631254,1.415379704945472,1.3171118102756008,1.3191571695819575,1.4430945703812443,1.4669700179646348,1.3524186888238507,1.4693384156554616,1.5875392387341003,1.641979830872206,1.4692298852512988,1.5055961930047206,1.4252849094931488,1.4182536751440422,1.3439348293805555,1.3355025010990513,1.3659953513156502,1.3022640653120157,1.2966181030731883,1.3196576950285341,1.3036065156141798,1.2478715212254254,1.3137844418716333,1.3656341598961463,1.3004768236498985,1.3188368698543718,1.323203503516025,1.5359883781215686,1.342718305814079,1.320639372605098,1.4476513357182919,1.4523264949242616,1.6694997182077995,1.372176535425086,1.2001195710928572,1.0929539774975763,1.429285666645629,1.400765637180185,1.4287706738410912,1.4152779464489753,1.2004229508014963,1.0350063211617873,1.0406949218592525,0.959620723613617,1.0264846517405368,1.1158762751327043,1.1574191659826154,1.1797000321433004,1.0861490953612414,1.088821714473922,1.1333569812636128,1.1314376556160783,0.981659515524189,1.2240398513939985,1.2916897469823068,1.4127071433674818,2.057727879966088,3.2789276333680846],[0.5723592051135137,0.7531397315898178,0.9574207509839568,0.6897310528143495,0.8341362578235532,0.719038074335866,0.6985134271096892,0.7315492286799011,0.6054766112310852,0.5815170573764384,0.5557644494809821,0.7037710626651665,0.6179402360829194,0.5459068698308979,0.5416994017780711,0.5900833395104659,0.5939303848937371,0.5878949816141579,0.6303831747300536,0.659224391121521,0.6848736083639356,0.7011560039408224,0.8843892520478892,0.9700148445510809,1.0212073804023856,0.7737305585640379,0.6748603369996675,0.6724478700808081,0.6596356749230254,0.6607368633623791,0.6339446132128783,0.6845814416242876,0.7047087074555812,0.6771418193818962,0.6959880581312817,0.6490403587133089,0.7348113043389068,0.6775346987426887,0.7145271857095361,0.7371997007731114,0.9164898581048094,0.6752460460772529,0.6993754890579057,0.9121616724842712,1.1031686156523408,1.9635044878348729,1.932385709976773,1.3441638539350924,2.378970495688943,3.0928730665746267,1.7310400015580814,1.9384902436381002,1.1523244993491062,1.0740511679342943,1.5265399238310544,0.9236843397839934,0.9663670496847858,0.7828157141152098,0.8381078850812836,1.2281741693249812,0.8018646042504435,0.8450538836117754,0.793720307587208,0.83687543596468,0.7588978693659477,0.7257919587356204,0.7296257861465234,0.6225111090428732,0.7332476949501014,0.7201890017769949,0.8886721338211613,1.0472459550206943,0.897660473560604,0.8627297299595004,0.6722809334731007,0.9839695974018975,0.6530718372024917,0.6907028976155235,0.7085341851953453,0.7212997327752594,0.7429635738757367,0.778503081170275,1.1452634375793451,0.9035127904301615,0.8340980122757619,0.7607439722515711,0.703134694420897,0.7987688193496398,0.6828759270504678,0.7522441878809376,0.6165855429701752,0.7341911844038709,0.6282875327566123,0.6267275695281893,0.616138619468573,0.6611475146526365,0.6414500774060957,0.6893780625461353,0.6980144047332564,0.8750349223183206,0.7578478530949335,0.8984155846535382,0.8043876313905848,0.9177423713128684,1.0248859478674162,0.9473783104300344,1.2081168309003456,1.125741012070945,1.1299689267694741,1.1623340012401615,1.016732114080989,0.904208008023818,0.751455089320412,0.7213334757483095,0.6442088785568545,0.6736567876210752,0.7004762508080608,0.7065687134106842,0.7097142697606716,0.6325856701766457,0.6225168652520476,0.6296089753389433,0.6463555149057834,0.6176730017218741,0.6425382906422304,0.7245818950016664,0.8078787641769477,0.9352567309325045,0.996018920957087,0.9973504132398787,1.019370148528109,1.0579145920283983,1.0438258563645029,1.0231236912862514,0.998507563229641,1.0019087629017582,1.1074050973665777,0.9105743712799542,0.8326057048201857,0.7822750610206177,0.8726838784397525,0.8948821280040307,0.7903354585527211,0.7298060608692037,0.7014278818640511,0.6976790514534384,0.6997248233820115,0.7206279249367187,0.7498819527272138,0.742995909932612,0.8426705477318159,0.7804995270259395,1.0499164153421496,1.2248875135707227,1.0336417406453229,0.8206509610862458,0.7235387538226105,0.8275859427310168,0.7407909346166782,0.8808549567652304,0.8424258013033055,0.7635074696732296,0.8344095977618133,0.8149999919895862,0.9391534090992649,0.9301779487212584,0.9844613372415424,1.1156312314983372,1.1806544771419394,1.0737603753703062,0.9727713012849178,0.9207072734065901,0.9208919874982511,0.8788125811923301,0.8532967667875689,0.8997170810626703,0.8055203504736591,1.0244478846326521,0.885942611022366,1.0044830034909653,0.8954694907476693,0.942397432847481,0.9842112581541971,1.0192381124186427,0.9525628643404036,0.8991148710126367,0.8608188906432982,1.1852182476004145,1.7828414866133517,1.3293114179513246,1.1724606265370108,1.0831807528869533,1.1637916771359753,1.1634739409662576,1.0831507170749162,1.074095163107239,1.0567270782805462,1.0680939931573077,1.0711528998730278,1.0404966120467298,1.085778492762324,1.0717868638444148,1.0514517633647287,1.0706071700826456,1.0882283606514898,1.0793867336812324,1.0685267366024105,1.1097192435222114,1.1389197945373128,1.0964741361347001,1.1143562002232215,1.1752434468427517,1.2215419414529016,1.1962285645282889,1.2120140089681357,1.123937234929364,1.3325625645255836,1.1391875390238906,1.1544009744994546,1.17571069794772,1.2151777019658594,1.552682040276745,1.3458766064703627,1.6022608605781943,1.1941322015008227,1.1801213713501193,1.240366848773485,1.2198239786852416,1.2811248995291955,1.159142850954886,1.2920151014972545,1.2124280585345835,1.3324775068509442,1.2479720370404657,1.2743169142047337,1.4788964669482385,1.315793207174533,1.389811001045162,1.1746537607965284,1.1277776958994346,1.1204820144478858,1.1163459228082886,1.167508007129442,1.4049818185236085,1.2166307241536614,1.21961032589392,1.1805651675578228,1.250331357976557,1.1933440602360534,1.187116575789795,1.274854693538419,1.3190602810040355,1.2107296623567392,1.2840079402309812,1.4008263672692955,1.527246500259705,1.3107135714172093,1.318533482946809,1.244791248045019,1.231470010569837,1.176422765156404,1.1563841626030151,1.176042735395343,1.154530187105059,1.1534914226201134,1.157316087186701,1.1572456037335919,1.1344709172587633,1.1895722138395535,1.2703937615784666,1.2194357585395137,1.2584954492827167,1.228693034813301,1.452192359705438,1.2793530981787693,1.2690090130638572,1.357411056372078,1.4072449093001078,1.5872982374222042,1.3189332278331267,1.1362249457992843,1.0648286106203035,1.3944172701548139,1.3925762229918683,1.4205196883934132,1.4245016726889947,1.1867448778529828,1.057406090665762,1.0422759433145297,0.9929790775148214,1.0756055366059951,1.0988361269066442,1.0633380612420502,1.0738050817117242,1.0843650214745009,1.0224107852605537,1.0189425361593079,1.0980737834956902,0.9390318174383504,1.1553959698690466,1.1147167220645429,1.1880623512833464,1.5574640816871723,2.679073900230964],[0.5058875908513568,0.7027784765242616,0.8444029136143333,0.6571831971218264,0.759500084028505,0.6829897159762082,0.6681509844017374,0.6995979775196285,0.5945404064836854,0.5743440573628453,0.5629421900391138,0.7061927426706655,0.6065607207960082,0.5410836988850115,0.5484863980039023,0.5832062294928562,0.5815194066788162,0.5758145268585354,0.5990601321962322,0.6360139992288635,0.6549054900386464,0.6671519789287871,0.861623869304404,0.9550637038472024,1.0048243420619267,0.7496211400947669,0.6440914006123768,0.6503465240854517,0.6373038476067241,0.64357683542604,0.6292271071685827,0.6634341991991696,0.6902976271905252,0.6686617773087791,0.6754083612561057,0.6286644777594612,0.6989179332347896,0.6438375815279409,0.662118315640021,0.6887057115699039,0.8935230485366595,0.658778661085918,0.6706004352546625,0.8891918692369786,1.0847660164578634,1.9796163046248498,1.9036331926645487,1.3432019720231367,2.456523025383586,3.0901340250790548,1.715751569645862,1.945357227520416,1.1179774201194679,1.0445980540407613,1.5245112433578238,0.8763563501273577,0.9284961114236536,0.75353212392491,0.821260358053944,1.1558546737964637,0.7863156677829419,0.8352215884233994,0.7801389524131943,0.8199120622052222,0.7434074348209357,0.710477801610977,0.6980235627515688,0.6107167498418065,0.712186986264927,0.7186879161529868,0.8696794544333023,1.0341887919492283,0.8970999832993328,0.8407924513866046,0.6875070033556034,0.9771252516210064,0.6573419980505,0.6837891249446504,0.6808672398823608,0.6897062500447327,0.7029654191597572,0.7283359508892977,1.0981347620298658,0.8520392927314014,0.7812684527971561,0.706131025143249,0.6693600518694443,0.7524741531671982,0.6598439109618138,0.7446364407886916,0.6087918986250384,0.7303381529128793,0.6266339835005739,0.632513624963766,0.6228174347688004,0.6835912388506452,0.6593202331010979,0.6884639735557829,0.6879558844026509,0.8474030159164333,0.7254228729573243,0.8369724223191147,0.7472883977688259,0.8398953816833208,0.9332313598048665,0.8456900209902882,1.0876906705054823,0.9789559985419936,0.9955605860123916,1.0583904885048419,0.9219441187762454,0.8392719972380595,0.7076068691429831,0.6831686793880289,0.6265260729667814,0.6385060374150893,0.6809568966447301,0.6554037082582425,0.6611108904231924,0.6184908592625379,0.6046639170180806,0.6110545714187483,0.605398843564035,0.5916641403160922,0.6250386597456729,0.690775082919436,0.7678995020011614,0.8655803377054114,0.8962153632760845,0.8891533346956019,0.89719807144604,0.920974234858539,0.9262096429675483,0.9224632265712654,0.8983985591303703,0.928567932345709,1.0353423129146213,0.8559550107122884,0.7688184955259321,0.7160458964222112,0.792127492159117,0.8145735885245379,0.7193762262772406,0.6713462987363671,0.6651774002315698,0.6528972089521274,0.6532030797445331,0.682495466262732,0.704776051324983,0.7037948996780294,0.7881896639120304,0.7442652073586284,1.0052090953379322,1.2056025410381375,1.010792562324006,0.7805723796061763,0.6908626963405716,0.7740953293611083,0.6999399581503111,0.8148441948542814,0.785094115783163,0.7129987645189017,0.7778038458378529,0.7553152613581601,0.8970222754845409,0.8695701184546711,0.916157979398057,1.0443849694132914,1.0987157478529028,1.0153838827808543,0.8994948654929392,0.8604412804902438,0.8617328293964792,0.8042421328330177,0.7790111675438283,0.8268211475416198,0.7526668026925946,0.9791393515104134,0.8140530594747112,0.9311521609824502,0.8141272782516348,0.8518258620164532,0.8821068140830618,0.906168650244334,0.8607284738768826,0.8373269335506496,0.8349687240556977,1.0913464851507764,1.7635194796119948,1.2659320296246344,1.1413177070523846,0.9956079634522926,1.0693761552745336,1.0688562129151378,0.9741694178879796,0.9423379848368866,0.9337534864914186,0.9122732050824597,0.9142106529238339,0.88965985500029,0.8885100461775894,0.8754325022166685,0.8783490211079867,0.8720183110230707,0.8637386225239734,0.8760086960844662,0.8830140044334305,0.8775820870901618,0.9087751259576874,0.8777327648284801,0.879893683492786,0.9195772649139987,0.9967000792381897,0.9419899376773316,0.965568710186105,0.9246233846291397,1.1158443207213413,0.9669798807702215,0.942955829391751,0.9631194748801643,1.0062213135704337,1.5607283141573987,1.1674275936546952,1.5608505390918113,0.9925700453773655,0.9942435785283856,1.0836443399446636,1.0572673761279652,1.07107493732716,0.954264587323207,1.146811990828036,0.9951737003947593,1.1391006291623076,1.0618953384649361,1.1183990842656573,1.2415800145649911,1.1257083296455246,1.2437372367486943,0.9878260525482345,0.9480750065004502,0.9317772802315287,0.9465846424863251,1.0011401337134553,1.2382240705450096,1.0588869367571485,1.0656136471698274,0.9978563477781475,1.0754053900175577,1.0267439889955852,0.9958993510474647,1.0878317069548293,1.1603475360969504,1.0207489023991057,1.0691125850754433,1.2158028846935358,1.3643389706337512,1.0808601055176597,1.082050513799074,1.0006986214422215,0.996582176668884,0.9610251088856051,0.9292389644170586,0.9487170280096642,0.9199607254185092,0.9251690605768356,0.9343818877256408,0.9461324659554551,0.9282064624136799,0.964903157453785,1.0699362530096397,1.0332387660774784,1.0669711334867793,1.0321350437636154,1.3053332487303624,1.1510737691221637,1.1592187327132093,1.2360691036002642,1.3573000317001718,1.4609639600733335,1.2387587467818153,1.0186071307143116,0.9251720573736011,1.3591323621991134,1.3134555075360899,1.324065643565636,1.3451137255840155,1.0280033639570794,0.9239567328292546,0.8988319569561147,0.8892074589075378,0.9271137792361087,0.9598341415250793,0.8997834775437789,0.9875146723609772,0.9736595526776541,0.8644855194745568,0.8749218012368937,1.0417415677050157,0.8512987075768665,0.9790632152309119,0.9241595031650677,1.0905797073923125,1.3608789248681012,2.356243957570389],[0.37809378970073587,0.5270988410151013,0.6113264312163641,0.4198713254636196,0.558097640151301,0.5197389289998191,0.500243602091585,0.5486704540755419,0.4827708720582644,0.4462283852692151,0.4513524770036232,0.584903116416785,0.4651643235953656,0.42624948455702716,0.43901263967457305,0.44853938914697855,0.4454378106992042,0.4429681065331057,0.48817841612517804,0.4779912297505511,0.5138064983772077,0.5120689574308167,0.7124529980385135,0.8358745923529184,0.8277020723007781,0.6021569092754954,0.4709415771644004,0.46856695511328655,0.478260769289067,0.47938640322743753,0.5030784965494639,0.5248175382649635,0.5586753564787726,0.5345774556138706,0.5180151908369329,0.4675255464252994,0.5264430048838553,0.4541956007748733,0.4703528434137517,0.47227270921791603,0.7502749402379897,0.4928751224651953,0.5055868230884055,0.7536639242411145,1.039123876795614,1.9025037800995495,1.822447334626555,1.2258428479167556,2.3432132898950897,2.9472517462934906,1.5599025352148312,1.7828809170793352,0.9446903157012045,0.8856774125766055,1.419027771377903,0.6999683301074241,0.8035952585041686,0.5853017924397085,0.6528696519524272,1.1214732812640924,0.6700086608794689,0.7147042950403922,0.6603576645784469,0.7294026920783105,0.6058152098955037,0.5620647009012402,0.6351523153166767,0.5079481268267282,0.6555556655832955,0.655904636999017,0.8392954033079827,1.001212911933463,0.8491528608456156,0.8072048185579662,0.5796772896490652,0.9478539181252992,0.5115076578593498,0.5430544930498625,0.5350504275019737,0.5229315100582751,0.5342564721808886,0.5391651018936707,0.9653325079853293,0.6212769751380042,0.5630509288578931,0.5010094950737143,0.4691855878805662,0.6130732245369332,0.4929293667130361,0.6007348213020393,0.48147311930115116,0.6815101483908198,0.5557029889349402,0.5212907317954539,0.5080951504044111,0.5909910010482949,0.5749598260616149,0.5674895739282226,0.5630193842062501,0.7430181291454381,0.6003909592298258,0.689972911213671,0.5735598797522169,0.6729640026170131,0.73186247238352,0.6613484466746266,0.8961787290105977,0.7649474920028203,0.786273952813348,0.877223092761423,0.7140160064021269,0.6251461471177153,0.5167582231918987,0.49161234715678137,0.4589224035005434,0.46365133799306807,0.5078789481415641,0.5174772493860992,0.5623029222235839,0.4795777008257982,0.4744594592546068,0.47479736324008964,0.46504876728660915,0.4266838382746517,0.45108631214464423,0.4956061101224962,0.578094317337009,0.6521288499086156,0.6581480968665181,0.6491814898836114,0.6606003473812038,0.692770740815296,0.6858220319897133,0.6895267872063146,0.6602354245405926,0.7074645394385374,0.8458927143850443,0.6356846593174508,0.5836183172714344,0.5307032063149869,0.6754957812168086,0.7072268646006145,0.5879058948330991,0.4933792261357293,0.47197792504813224,0.4743549864347456,0.46920262046838196,0.513332878841916,0.509973527300476,0.5459789189922281,0.6232038350102604,0.6235929388133505,0.912557136268043,1.2168103250461035,0.9707870406369342,0.6584565927455098,0.5517570742155804,0.6089112481519455,0.5299459301874884,0.6391051449142556,0.5629247626491558,0.509118289749446,0.5739410675511282,0.539249209548418,0.6601958789452456,0.6533828667079716,0.694384368572905,0.8523765284968469,0.9105849044675429,0.8242653137022371,0.6803790088950313,0.6370889628383295,0.6257483104769355,0.5797628894061089,0.5612515481131283,0.6244334941063071,0.5649512608998272,0.7887344754955106,0.6121253633688158,0.6966826670574072,0.6376211710624109,0.63373051815839,0.6525379448460753,0.6760826374078012,0.6387487750752422,0.6493534162375989,0.6719253883482286,0.9763834828191477,1.72403690597718,1.073030256440672,1.0148792236981423,0.844057788322799,0.8919678333741161,0.888526198501213,0.764358901336717,0.72716060433361,0.7115689435497377,0.6982478967255737,0.7039104372059418,0.7055293088465503,0.695770271436623,0.6814594602144076,0.6765327279304697,0.6828297476201136,0.7025080281007303,0.7116137683710304,0.7085990352991963,0.7268772671908446,0.8030902106121057,0.748454689480937,0.7628824044544642,0.8697857617470124,0.942129062091555,0.8968460753533716,0.9662076899117453,0.8604912133917655,1.110021499386696,0.8899337406945044,0.8391262107948576,0.9011262913193265,0.9402645151636815,1.491557075958863,1.1138317485193716,1.527782314672556,0.9023357139226027,0.8964860677478309,0.9628971685552603,0.9279700457285694,0.9702982099286278,0.7981521986654645,0.9918680713616573,0.8528116853276825,0.9883754949501522,0.891206262859735,0.9895206321064306,1.1396946843527391,1.0321644164641455,1.1921795639904698,0.8279182430492306,0.7578352104120452,0.7387519234913509,0.7796059878383107,0.8418887765627412,1.098888738465004,0.9172550720990064,0.8985898647212665,0.8719191623296332,0.9488021690208025,0.8772150070864105,0.8618836726867586,0.985041057288298,1.066628380149601,0.9153102531463081,0.9841016805773426,1.1513865907847936,1.3074800051362974,1.0292907301744953,1.038786274588784,0.9414957562966799,0.919355504732433,0.8542918889839538,0.8251718475981562,0.8736622999297207,0.8057439696589088,0.7940211216696623,0.8221410922406589,0.8365958777129968,0.7707079085463432,0.8345388125670393,0.985097942617121,0.9087256821489093,0.9557662445299198,0.9370726396528546,1.270460882449016,1.0780090595060472,1.0664286059377435,1.1690872288064988,1.2920052237672068,1.3650590246826635,1.1094168692394661,0.8698458341577671,0.7142834480660075,1.164409584840405,1.1945824400967926,1.2402439364663633,1.2755565986027266,0.9005048686563091,0.7452109388107263,0.6838176609387124,0.6706595729613308,0.7279074696122632,0.7682633096557634,0.7280992456362263,0.8740557205372899,0.7951886356487775,0.6966846516348503,0.7322525963819291,0.9464091521719259,0.6512809234622603,0.8326568357696813,0.725578463480317,1.062841266628362,1.2451813455640905,2.171222891759167],[0.33925472803453627,0.3775556262199178,0.43492524939714433,0.28138434347690117,0.4430562483085789,0.4445618043393431,0.3896129994398414,0.4422205776060994,0.39888739494509207,0.34930995846739393,0.37818639658483627,0.5216363732754578,0.377314549310913,0.3393121346729524,0.3765262586894491,0.36367130578847895,0.35732926603673737,0.3728690878696319,0.41496443118679716,0.39749927849724764,0.4068905611422524,0.41574325250816513,0.586575921920836,0.7266360617030189,0.6947986468379133,0.4910628326801197,0.3723794460205789,0.3538580156025074,0.3886598102885803,0.3858208656544027,0.43344963038146245,0.4420895040930145,0.494988652846389,0.4653355956872285,0.433987430315874,0.38056819771138445,0.43743469256311124,0.355266084283358,0.3698012089443267,0.37553257381476185,0.7111713807130101,0.43936954224780217,0.4329619544603353,0.7019406980403624,1.0174820536374387,1.8813829695529463,1.7386445235453396,1.1802475454350723,2.3656931212115127,2.848113028773524,1.4648144932579015,1.7270068289711118,0.8610382420961453,0.8023353300802049,1.409041783674293,0.6261441175373357,0.767192830708859,0.5169071366404978,0.6170533805805404,1.07781865227685,0.5907102931611327,0.651742821561287,0.6056802425895296,0.6795250341393011,0.5164891721464077,0.47417741685294007,0.5996068264505819,0.46405004602069133,0.6246007314431199,0.623387008265986,0.8215495545890455,0.9860745653407008,0.8157910405548247,0.786936771330567,0.5263716054013885,0.9352705613103213,0.44075271279243505,0.46445611870189657,0.44210800593575766,0.4218443139734297,0.4483108362483408,0.43888812054614623,0.9275806458436437,0.5311697910187746,0.46711942778028376,0.3882446684957398,0.35218814600084863,0.548720078248938,0.4086626954114019,0.529000508906607,0.4139531715628738,0.6483920523535853,0.4995448579666715,0.45690713321125953,0.43792437457963823,0.5490101078625559,0.5422190222110266,0.5028944870934997,0.4974212622558576,0.7094554906657535,0.5295436698673915,0.6042911468416382,0.4869108877127759,0.5625538105488963,0.6027137406686959,0.5562524775494537,0.7770282924614291,0.6291811248241677,0.6638129474836933,0.7844781938244013,0.6027633574337793,0.4893325899557938,0.38277718264358523,0.3802648245208745,0.3531474166017667,0.34314009545451535,0.40832033406569695,0.41950996981413874,0.48178569245271646,0.39764730155189704,0.38855958282405767,0.37261354327341983,0.36223385135370517,0.31382565485158026,0.3390659924913771,0.3987827533144896,0.4906867980800503,0.5260811778297269,0.536285520893637,0.5232091854874069,0.5302010148415433,0.5736163245334056,0.560371579039212,0.5860601835777031,0.5437263821447045,0.6059257368970821,0.7600259596954729,0.5313592869970661,0.4813584438608051,0.418300949384937,0.5924999620040782,0.618634910942309,0.49595182028957613,0.3843385553198445,0.3723977651267901,0.3814665559281627,0.35255861140341854,0.4036337985144987,0.3856195475650441,0.4361708741263469,0.5231750953144888,0.5452915020259678,0.8846001894108303,1.2506988980333804,0.955226045705919,0.5868167198556044,0.46467269200759,0.5054596844501744,0.42612678980889296,0.5321903919673447,0.4414263612846443,0.396554099314068,0.4479394963449467,0.412670759728596,0.5568586746702959,0.5298286560329529,0.5766452003978225,0.7250703281145958,0.7873956423947343,0.7079297368609336,0.5665924298982615,0.5315276543662132,0.5289632083937703,0.46579108809345543,0.4371577098945744,0.510781905773844,0.4563892366792588,0.7070608060788952,0.4969713651690462,0.5647016622280178,0.5261032073643784,0.5191060582507809,0.5437185859187472,0.5605053774242444,0.5331058088296405,0.5642709962809247,0.61546355246062,0.856905385657435,1.6887147417206745,0.9458395308015888,1.003566359799899,0.7490169025252914,0.7974475495761316,0.7795737577688973,0.6441169764023051,0.6089020432143942,0.6003689867172294,0.5706320431582791,0.5867904981395423,0.6076417096362702,0.5814314557203971,0.5678051278872516,0.5496717433189484,0.5884475053650842,0.6067648147065599,0.610815286195361,0.6500091914697529,0.6502677255279837,0.7226641090603451,0.6570559953768266,0.7077571136659343,0.7882586233790978,0.8358904502903532,0.8021563225616052,0.8992877353704516,0.850171201351716,1.0317614462762716,0.8787205762464374,0.8061931817799133,0.857109823994803,0.8832590698272603,1.5871645423318061,1.0701050513625225,1.5742120759778235,0.8524089032453966,0.8399470328295153,0.8916026334011496,0.8606794195752959,0.875295415195969,0.7005897638620328,0.9449533860057107,0.7630071969972032,0.9225964217483518,0.7997742053834349,0.9024157051184486,1.0111251034339257,0.9534750733089296,1.110227186222861,0.7226445859418561,0.651416495253433,0.648945706613854,0.7294296105203879,0.7926103386145977,1.0154038087109558,0.8662521849824891,0.8438356401728425,0.8182507844789301,0.8974025639763784,0.8233999549522735,0.7918388462130814,0.9199206019010007,1.005391396793501,0.8256749793100538,0.9040384152610271,1.086576541588901,1.2230369229718727,0.9425840729589305,0.9526901344366807,0.8683408942042631,0.8464840746656851,0.7885870407705055,0.765662246844277,0.8174948289539375,0.7436524497286247,0.7282082683866237,0.7648303788005075,0.7924873606828716,0.6967283556770927,0.7553844587575964,0.9302942742180035,0.8542492091620016,0.8690435351860447,0.8411763752800551,1.1824947974572229,1.023578782870342,1.0289763145619708,1.135127912422696,1.2909792485483798,1.3334700330384706,1.0883874789509749,0.8633672386975346,0.7014002879018546,1.136446263832323,1.1245642325824114,1.1659304260342624,1.2212855121464417,0.8297739887838212,0.668942264079223,0.5669940939225118,0.5497355662761236,0.558052360200835,0.6372924764968642,0.6292300573871366,0.8488476755030963,0.6672360443454872,0.5693586955958992,0.6148184664307986,0.8771005948551244,0.4942821010335334,0.6428377850296915,0.6025359000962629,1.1322870600512,1.2599145127247566,2.022547635544356],[0.3869028933458204,0.3812034060167938,0.41464639123197405,0.3140445094596431,0.46580603989706026,0.47492698064385236,0.37648691585769,0.43339073715969617,0.37960242944044764,0.3405864008714658,0.3523815503538939,0.48638211258921094,0.36224908153272095,0.3393820700891296,0.3788709861269494,0.36029220780409404,0.3491874660439495,0.3742368150143707,0.4162327779065942,0.4180750080929517,0.4287293974972864,0.4452334143382218,0.5952427872205054,0.7440840945153925,0.6829274028363703,0.5070967459686492,0.4109965271883647,0.3827607184424821,0.38858358903316104,0.3883153234143169,0.4427826981931153,0.4326782630844563,0.5077767159219884,0.4482171515511033,0.4186463570199989,0.38199275458517057,0.4256473966527886,0.3757952543297269,0.380011590124808,0.3918735339633151,0.7421954129303763,0.48134903918672217,0.47146905750189355,0.7004150255870837,1.0528448499066945,1.801171195834305,1.6464511411640517,1.1120808082273035,2.289988699466889,2.6763706797037146,1.3516790467558115,1.6769595325690119,0.8595942732551548,0.8415065558113995,1.4268561798570618,0.6089210551720475,0.7292239524831307,0.5440991037084141,0.6183098676029474,1.0714018830603356,0.6062422446597742,0.6436513214005717,0.6002376722781992,0.7399137939903604,0.5338114838781743,0.478061624674615,0.632616815460169,0.4781695875698847,0.6595693721222701,0.6363449335473343,0.8044086957631446,0.988686173170178,0.8141653918574808,0.8459612634504294,0.5410841025176644,1.0117742888152814,0.43621069592865636,0.4558778541628671,0.4287881734859919,0.40364663586345756,0.43380520102229364,0.4453512399214453,0.9535697606139454,0.5028104009710289,0.4783835037605932,0.3925000866926492,0.36133398742494105,0.5315347653264177,0.4095581940910639,0.5168638100005071,0.4320489180671137,0.6777366023365274,0.5285338865616901,0.46442414248447694,0.439801899015979,0.544499356477793,0.5322985221191686,0.4888903287075237,0.4905918613809956,0.7379993413630545,0.5122996265575214,0.5593989570249616,0.45842156232701353,0.515892020206464,0.5552457951172568,0.5268541889199511,0.7408224659806069,0.5937631205804156,0.6338018051238946,0.762351387217982,0.5748162683218738,0.4746213324787855,0.3765475857832545,0.3866683227811461,0.3816792827285172,0.35564268235641205,0.42653851606131565,0.4645661349973856,0.5368911655568522,0.4162656438819833,0.4166419471947913,0.3967406340437757,0.3931276179714528,0.3337726973397086,0.3479243988282127,0.4148682310692252,0.48665111438789577,0.5246644453314099,0.5196626256257056,0.49891664926540574,0.5164835187291537,0.5581138578276102,0.5589213581984757,0.5598131999970887,0.5459191846647892,0.6084727240203911,0.7844395440823991,0.5509688266738682,0.5130270110503836,0.45394344403410014,0.6566354942462258,0.6986303905048056,0.545807342057007,0.41690985614481124,0.372338615101866,0.4025089784144797,0.37235771406667256,0.41729621421461394,0.3697215990652919,0.40950802543607934,0.49561492198095664,0.544531046168648,0.8873436374705664,1.3693779082046134,1.0134523716468624,0.582051951735477,0.4550044340734987,0.47640935585897287,0.4063214341044301,0.4971317225691576,0.426294642894016,0.39889362173739923,0.4579962611731811,0.4329865986601762,0.5570290290307968,0.5661814038322637,0.6116690328321405,0.7703363263120702,0.8233324323776325,0.7469450902657481,0.5961529419523637,0.5493611785304416,0.5344721462425035,0.45277959298459947,0.4134723305717489,0.4814426456321256,0.4430615004297186,0.6822442254730197,0.46739955791069865,0.526321035716704,0.500423977044173,0.48796886514610327,0.5196292562950589,0.5462873410377113,0.5333337962427267,0.5653761443691139,0.6190254905558114,0.8093995411501719,1.7528060622036585,0.9613430877261036,1.0531080018002161,0.8133901619655346,0.8312497470594131,0.8125207005800491,0.6628581851820663,0.6063761340366711,0.5953837735554215,0.5542632868211756,0.5672141938207516,0.5983843058874878,0.5529357870721056,0.5413559301100146,0.5267898433692781,0.5636279172070691,0.5802228938644837,0.5860145492570745,0.6253165344447646,0.6227217531392156,0.7067151810909614,0.6327411633052874,0.6840312174597883,0.7758851685184369,0.8155710161258404,0.7750821477059114,0.8870795122203087,0.8294249458011077,1.0351040110185747,0.86211861927261,0.7872038008306047,0.8501055144847635,0.8851300386509053,1.558067090328434,1.0831139362935367,1.5674670496769008,0.8342700839809324,0.8230759924979144,0.8756527481657902,0.838364144816438,0.8606191497065541,0.6736556657106801,0.91382549560782,0.7363291515292162,0.8973738668279646,0.7687208320909374,0.8970605217428661,1.0305504630940368,0.956510722628012,1.1459675987857378,0.7090233197523182,0.6251837439721081,0.6174016501362454,0.6998043613838427,0.7774517144381179,1.0115018808342249,0.8590519663554301,0.8242559449380586,0.8155446756049225,0.9088314329726502,0.8259485269682814,0.7795829235434077,0.932008163233267,1.0197132751038744,0.8188994752899035,0.9163583813844112,1.1203835648419065,1.2196062995964492,0.9540470298238085,0.9804389302899996,0.8759064293579611,0.8528105954004414,0.781259855428652,0.7541470777502903,0.8103172978628751,0.7233401257540584,0.7048008383356175,0.7465791817077929,0.770098354576526,0.6695396276498233,0.7385032488731574,0.9236080715766009,0.8403407448337415,0.8683190288689342,0.8508520249363912,1.2159752621511344,1.0351483958245755,1.0318420977457319,1.1643109617518894,1.300353828110989,1.338936166069668,1.0732472597688196,0.8344070302301998,0.6629108875405783,1.095603081841579,1.1328239727105924,1.2007851546252895,1.2637448253421455,0.8370351367220256,0.66594668413325,0.5525599942920738,0.538691966478015,0.5312330449916215,0.6097243617491656,0.6165351560040608,0.880290175129302,0.6374962532203915,0.5527267720583404,0.6130085478089138,0.8775152636914629,0.47815147463472146,0.586363169279438,0.6594422894893345,1.220035396723547,1.605180723434739,2.3515598811896545],[0.42208252069559565,0.38950326242941213,0.3805885939838545,0.3890563566545123,0.4525589325541627,0.4421355733426183,0.3151390145442067,0.3998882614803722,0.3597636942798959,0.301131596915892,0.3152568036295068,0.42924798567986466,0.32013723595441756,0.319973223059919,0.3873505974068627,0.3414342949142255,0.36925719102282734,0.38112014760853086,0.4722690608851558,0.4231631573250186,0.45000447400368293,0.48437115367607647,0.5908343918880977,0.7700013348890667,0.5995568652310062,0.5022332735950883,0.4218032364404325,0.3505153990665666,0.37656536801530477,0.35749875117472074,0.4248841674814476,0.3868886357723526,0.49571176053644944,0.447578146981699,0.3799559100582113,0.36788531367850436,0.370290078496631,0.3819671440210785,0.37612449375725426,0.3977544332675563,0.7950359446148609,0.5423737095071196,0.5419638413755946,0.7214250427156933,1.167696665030134,1.8161789584772474,1.6608411325535815,1.0998685167621483,2.240486506081961,2.534110232015415,1.2779643999389936,1.6141766031558014,0.860819941629011,0.8615055965548489,1.4700643184308184,0.6279419282279952,0.7137997915841103,0.629200383422036,0.6835730472191242,1.0788329213582295,0.6540259809255649,0.6364855921504581,0.5828977086576982,0.8035043932063627,0.5829224295362864,0.46749081023726735,0.6756595536239107,0.5113471429677631,0.7398845917144745,0.6563356973398329,0.8440082455547216,1.0437716969991233,0.8076414544865671,0.8959990603272492,0.5580075415578017,1.0788550705777995,0.43958941245695415,0.45320870391097207,0.4169935302636501,0.4169210631359051,0.4350489835490349,0.45269651249717,0.9231132353811687,0.4525593590489757,0.4378995836906331,0.36047038313875224,0.3536696916809395,0.508161849940173,0.3948040948101236,0.5026134452282482,0.44833436402269344,0.7042530904998262,0.5537711650789066,0.45271701857284447,0.41933570503428397,0.5467480046350548,0.5134483983495126,0.4524795641009464,0.4471017117887988,0.7322443418243206,0.48456640769264364,0.5295178950838185,0.4095359440801628,0.4923912349941805,0.49502084528616025,0.48258263172201793,0.6671077817068769,0.5180942757566954,0.5592488628122714,0.7059780566780689,0.49610706476938193,0.39993374430095674,0.32459140267945413,0.34420876220470015,0.3473588510185562,0.3591715494243462,0.39818496466598036,0.477368273296906,0.621008870869954,0.4345344629844871,0.4338905001465414,0.3871183158351743,0.41061731029954773,0.3161254522130248,0.3088431198239751,0.3882639308170773,0.4490700488754317,0.4482989442231127,0.44600645720371085,0.426909854349844,0.4584500991614725,0.49847296754184184,0.4783817654175029,0.4983945073809911,0.46662976616371726,0.5230439311721007,0.7492196301850289,0.4745798800984367,0.4662868817559292,0.4243265181855523,0.6494509110393397,0.7052696197438635,0.555955226420085,0.40905716602599934,0.385233068325844,0.38409294636441327,0.34394142747082157,0.36483379568337815,0.3356882797833215,0.3811212185757193,0.48393172130200957,0.5368929379109291,0.8794247079933769,1.4987775364710632,1.0662966461690673,0.574042242507927,0.41454737025848687,0.4427712573189789,0.3634507391924171,0.45806239189468867,0.3770396590303985,0.36534211808957245,0.39399865939836703,0.3723681751349676,0.48050218047618165,0.5105179131678271,0.5661479100746751,0.7368829067026013,0.7628776821864929,0.700765424575033,0.5389046471946489,0.4743780731626479,0.45183977267516334,0.39155090256271097,0.36562398122389783,0.4325513200625519,0.40619246828173927,0.6439014444398947,0.43306132286942955,0.4622526225349769,0.5300955869173819,0.4224631298223371,0.45361459691333755,0.48400387517641263,0.4944148063650128,0.5924643902653546,0.6828477565179536,0.7956189249294855,1.771693108390671,0.8943896331010536,1.1180911668478883,0.7627090992600691,0.7775779850013275,0.7555891764848921,0.5988941197762286,0.56402218487889,0.5541667204608686,0.5180464562910855,0.5358782038291662,0.5761138778157111,0.514251227940065,0.5002718071455744,0.47912599314662324,0.538282634132105,0.5493578459257271,0.5561499946382122,0.6205671976530273,0.6035312286047396,0.6822455137261897,0.6146132094570056,0.6748957540681699,0.7661157625958099,0.7926486130696789,0.7737919631092084,0.8919961217947406,0.8363611476943232,1.0440016801629435,0.86129954381159,0.777491452610681,0.846360780046018,0.8712478027644256,1.5657759374451676,1.0676647905863148,1.5694430442178964,0.8123402696996331,0.7947345411269343,0.8494377099150591,0.8195706941437174,0.832860683524241,0.6407669886743789,0.8909938633309321,0.7072674767068023,0.8598232979845906,0.7252166681913085,0.8850993422893265,0.9987530480811301,0.9382919131681391,1.1673949754177246,0.6785258754589706,0.6003035472439925,0.5867806957613961,0.676306110653018,0.7553346280466041,0.9725446744734518,0.84075946010861,0.7903648100649272,0.7894338824333036,0.8954290291564543,0.7993695781479386,0.749776160928392,0.9069963453272221,0.9947814232539894,0.78891675713021,0.8919402533180489,1.105987482592214,1.1883775580951184,0.9328818298071527,0.9631345056838442,0.8610066012546502,0.8323456930199693,0.7561126571734837,0.7300122220803228,0.7963203062881122,0.7014841129343815,0.6784447675554903,0.7235656804068171,0.7524789203402538,0.644401987652201,0.7107561191744244,0.9122874603069238,0.8207029648871436,0.8413073917999849,0.8308075240194208,1.2043092637847614,1.0246249407085655,1.0150710697966232,1.1693667844909394,1.2972174637960117,1.3236286938023163,1.0500518770825744,0.8254346672581474,0.6499493210599656,1.042682965805439,1.0898357250672328,1.1750513866163081,1.2619547460025853,0.827445952829795,0.654346696604855,0.5222350953641887,0.4914807052162617,0.4878546044304805,0.5475715044146154,0.585006233316075,0.9002721360831273,0.5679193824524427,0.5137131086911246,0.6015738749505578,0.8456804758833453,0.4383833009611296,0.5581288697957687,0.7122513201968987,1.2785633739960478,1.666636027495567,2.314240716270752],[0.4364620438416364,0.3731532949095198,0.3494435436517544,0.386390385200897,0.4117498822267796,0.42425895456680646,0.2658663418274248,0.37272253102101516,0.3498877773506613,0.2685844148267838,0.2946241478149942,0.417610420443923,0.29203389894056286,0.3098636131141141,0.40347302313751443,0.34623738547727206,0.37306801426208214,0.4184254687428898,0.533204983905517,0.4654053842604545,0.5223934929909129,0.5512811293738674,0.6655604514609357,0.8728414322370549,0.6142304536742961,0.5644764162166477,0.4610882720771297,0.37189850012889314,0.38991368425586115,0.3628919721240159,0.43987885563542845,0.39246296083310833,0.5138942715701752,0.45759231001796985,0.381503862225127,0.3958834509388166,0.3675577514389356,0.3860925507505424,0.3836441790669535,0.40114568926136807,0.8322322896825561,0.5961010813403124,0.6044434348303933,0.7541097279958879,1.1709819272764836,1.740064247817776,1.588869576547662,1.0810602710508148,2.2191610793941994,2.400264422410464,1.2182535199880147,1.570459569923141,0.8432806010513314,0.8455175378534086,1.4882519923958644,0.641827246826666,0.7399476739839022,0.6932417207243587,0.7281116668594414,1.1257803053697157,0.7166512512531459,0.6947390568073034,0.6147643978465513,0.8974731328279659,0.6648499894377201,0.5254319006481023,0.7258151779154574,0.5455488393271796,0.796121961491614,0.6706141569661805,0.8658333488126244,1.074034323476504,0.8371446646383012,0.9481707052973665,0.5995529909607791,1.1601570002684964,0.47791949994708377,0.48036841873984,0.4272636233657973,0.45144108359779583,0.45152433734722747,0.4646973030644603,0.9480291966450806,0.4210146316439973,0.4415628132147261,0.3606172418728963,0.3837162160261092,0.5112557722308263,0.42242039326875624,0.5154295198444188,0.47269670575258665,0.7654231530126513,0.5802232666399598,0.4873065420613281,0.44368982986993316,0.5668785833094969,0.5310384705756352,0.4559452011018003,0.4371740471333987,0.7233705376801964,0.4590048077603061,0.49680507151184905,0.3920556532108439,0.449750142343622,0.4358528777601126,0.42744128732773207,0.6103508547364779,0.46553886605722283,0.5094143635457387,0.678598692790769,0.44406560443510135,0.33630261144678375,0.28335768476110107,0.31501400238162564,0.3299776123380399,0.36319094544784336,0.40778463932813,0.47698388084175725,0.6420210868391346,0.4521264142093919,0.4414882800248816,0.38083030339405066,0.4107091189448281,0.30012859694584243,0.2892338855247783,0.37178812702226005,0.39786077917029655,0.40853701570186535,0.3966105361203901,0.3694807038091516,0.41419353905362993,0.4423391128013727,0.4277200500860302,0.43916268599394687,0.42149534269704686,0.48368321690804367,0.7366602287023428,0.43602956866483916,0.4362395877656557,0.41756956144242185,0.6487469370337446,0.7100122837390425,0.5709235188996443,0.4077495390704566,0.39423988260574205,0.38741082938025756,0.32820708557780637,0.33239778518219476,0.30260726378797465,0.3591611198998221,0.4506201300754162,0.5260904186161107,0.8735910085894841,1.6025983267832555,1.102439682706257,0.5681736245616343,0.39605646746789924,0.41939704648336684,0.34746330748956267,0.42602416256323317,0.3387353345842637,0.3297547333064788,0.3492709552633356,0.329860966681822,0.4320055784132115,0.47982345579994723,0.523235337955287,0.6980185464754448,0.7205318274992176,0.6523594214682811,0.49985026015587897,0.4381533989752411,0.4083437900753378,0.33786377463677897,0.31951499808961487,0.38143706242567144,0.372462472658587,0.609223421470834,0.39194353565045476,0.3926054280972918,0.4963521227613321,0.3590757840937738,0.38897729810476367,0.4197432343493987,0.458034825257551,0.5727512515426839,0.6845001976839488,0.7310071543490911,1.8079483896012911,0.8926811965010041,1.0940922582215136,0.8195499163558726,0.7717326659418101,0.7291285410438022,0.5642883055688026,0.528254983715773,0.5230509424227635,0.46575616095968164,0.4833497477643026,0.5357570423963642,0.46225170853880715,0.46192805930770586,0.42924588972795774,0.49139899631107714,0.5084448087850328,0.5181076503060928,0.5833574911118585,0.5665115684683453,0.6512849951683831,0.5856724633972343,0.6502098248628916,0.7368083640952392,0.7581696365997103,0.7539794129840398,0.8731840979672483,0.8297645950885488,1.0172773300068694,0.8494566983705365,0.7536664336356284,0.8224075512956532,0.8455678028006088,1.6104677485587722,1.0296294361664018,1.5578360479478832,0.7784335157303117,0.767291527589582,0.8237069025537181,0.7986053174826797,0.7867942568742238,0.5909122875734383,0.8539729274385064,0.662016391158343,0.8171709046283037,0.6704456207985059,0.8617915948909786,0.9473169589079725,0.9147599155644809,1.160063104343652,0.6249182389801359,0.5486756895878636,0.545994638088057,0.6482211151502707,0.7341078561781208,0.9467162766279196,0.8317973866887219,0.7656848436097871,0.7629456369894145,0.900481480031572,0.7809728535734993,0.7203383027401425,0.8901408130822133,0.9812252495602819,0.7607768398210466,0.865895550904843,1.088611596950979,1.1470028861268113,0.8988852664836214,0.9300688669661669,0.8305275650094127,0.8024815703421968,0.7231714570477155,0.7009262168299365,0.7674144708141694,0.6693525044056221,0.6390552088083495,0.684259262193999,0.7205474397581875,0.6071163857425745,0.6703412009758334,0.8832043077367527,0.7915340089630586,0.7981844778946828,0.7883759314947537,1.178080662888471,1.0013167005985315,0.98976887544456,1.1573976266323633,1.2940078602431517,1.2909649961186231,1.0268204586222125,0.8086318656975091,0.6251684876640063,1.0092090205230484,1.0360204270777233,1.1312117859115796,1.2249592996321947,0.7901829934585314,0.6082406511470735,0.47214043168893294,0.4541597452625271,0.4287690064532155,0.5036080199341675,0.5602765645476865,0.9284438809059388,0.5201334858149866,0.4843174954306948,0.5949491094808579,0.833457833935991,0.4215056706880403,0.5270901762627933,0.8146685150176445,1.3552683134805632,1.7634613262471466,2.3501023222415247],[0.4362124557099924,0.3885843319541297,0.3487451927929903,0.41948645608644647,0.43937841709569325,0.4275378706502955,0.2998734714960117,0.3890345056864819,0.39460402918705806,0.3257298827087252,0.3369975742448413,0.44616888776272107,0.3401781331376277,0.3723401175816812,0.46981114834008286,0.41356185841351367,0.4465989300001167,0.4874314913925136,0.6112750696628338,0.547872956183247,0.6296319262507841,0.6614741873314651,0.7808325439112507,0.9919542874252858,0.690901628954329,0.65421470478219,0.5626571105603633,0.4493611482699754,0.46112164760502217,0.42779937300268817,0.5065719484838315,0.4420001874150382,0.5719593336117746,0.5266550109498247,0.44782444828221796,0.47524075070923444,0.4391633717015743,0.46177978762024713,0.4649490564736272,0.487138998549945,0.9063449855497419,0.6819211496541074,0.6989684745100977,0.8196204680534253,1.2471382988662034,1.7244472517331322,1.615533391810103,1.105821023540114,2.1794772969020872,2.3183593235680346,1.2133722467528454,1.575321971066972,0.8938003260327074,0.9208148262564604,1.5156819214774302,0.7166675047897151,0.7816171460130644,0.807184405968835,0.8072388479160522,1.2031499666872725,0.7928316022074842,0.7701098607186766,0.6701176161488623,1.0175732747819979,0.7627914549984565,0.6182879807499676,0.7905560281674462,0.6191421317405001,0.879801119380322,0.7341853035620199,0.9119590083592625,1.0957759130865414,0.8768080051221016,1.0252714234717226,0.6909230638003012,1.2587123763883532,0.5712342932490544,0.5662648798270914,0.5133421608274888,0.538886244132521,0.5224227689621543,0.5583951934330604,0.9697072759261459,0.4486647922573904,0.5031066720470775,0.4325216198863396,0.479220209253839,0.5831690393315736,0.5057258901791274,0.5638732906188719,0.5624763170208005,0.858164725602268,0.6773247499693464,0.5710635623985745,0.525213520941219,0.6426587828074517,0.6045214186217073,0.5192633180953791,0.4930401196120432,0.7553900698841283,0.49855992020913903,0.5226726103703382,0.4153576668683898,0.45940648683521357,0.44255980264825245,0.4582439443739687,0.5901730680565926,0.48491391498149355,0.5127832434955452,0.6747833137213671,0.44911196735497616,0.37981530532225716,0.3340527282117973,0.37365650903798203,0.3893167239910307,0.42987722917559107,0.46932611198028307,0.539215314788171,0.7056010491554022,0.5101194396182058,0.4967515022425699,0.4464277053845116,0.471326496724362,0.37159946960361645,0.3554261125220333,0.43821575930761564,0.4338102771795046,0.4378049653776052,0.42415817321602706,0.39761704177173374,0.4444931140340587,0.4554165468761508,0.45766526367109533,0.4607373325847688,0.45214412420847017,0.5087149673371555,0.7587675196982223,0.460393849291695,0.4804461745538784,0.47916329995526125,0.7011008725795452,0.7794884763234962,0.6475259286431035,0.48538372259720547,0.47828070680449186,0.458515297042889,0.40844902562709234,0.3856075286973125,0.3542832566790184,0.41241507144153655,0.4752345751153125,0.5632588300915505,0.8684572574717232,1.6833614194068311,1.1675987632464333,0.5921907085681394,0.43397134103344276,0.44345999466848235,0.38712387545946336,0.43428022523507454,0.3984735330013927,0.3559320527495475,0.40757628157171616,0.39022701181915587,0.4742664043288827,0.5364542281662977,0.5723510951088532,0.7574110212806875,0.7534193074539149,0.682051188681238,0.5413428781225722,0.48513047546546556,0.45771124779494815,0.38473590691385134,0.36661495763622154,0.4190212840633402,0.42405264058962494,0.6020014214760535,0.43904834853567964,0.4076594829121506,0.5348619173153699,0.3926097775466752,0.4346448433664777,0.45849405544203864,0.4991103170608234,0.612215558011566,0.7351403684837604,0.750536836174507,1.8649716565509595,0.9397487106471122,1.1313208328666124,0.9028332158084836,0.8127730188377309,0.7583519596316614,0.588818138547908,0.5791473500761518,0.572717279337405,0.5013953190509842,0.5206615643176659,0.5523512531113545,0.455973412367724,0.4381409359897232,0.41853779845902567,0.4832997473508802,0.4780206954759135,0.49144610872194533,0.5688539749010092,0.5564454589438818,0.6223878442428397,0.580307203119418,0.6437257878373323,0.7265721455125073,0.747508251084106,0.7699550020248855,0.8906379904648025,0.8375249368113342,1.0280634784429903,0.8581720737195401,0.7524111090674396,0.8176220550922371,0.8279656627331623,1.555043852504998,1.0154810119652555,1.5428666925954753,0.7587693031735869,0.737443011995744,0.7969981698719327,0.7840855649221478,0.7698448828076025,0.5847334599185532,0.833792840368517,0.6806443791327755,0.8268619819531395,0.6738496414986308,0.9014657758878474,1.004547522266645,0.9483009950064587,1.219188269919987,0.6479749316239601,0.5688205918520994,0.5472571801328673,0.6370691770701598,0.7213961616906844,0.8848166500878936,0.8106679949630703,0.7394159885567454,0.7152189345837132,0.8555781451261552,0.7423966968196208,0.6790733733777067,0.838792408363873,0.9320892823000355,0.7219966798953247,0.8135066240825828,1.0330709620008496,1.1079032994997597,0.86510129890984,0.8893048950955321,0.7926731979394778,0.7545135352818707,0.6771026287980677,0.6576946083597297,0.7307854542144284,0.6434893582894082,0.6112525755603024,0.6666721472006939,0.7157043383331226,0.6130187191817911,0.6822693420821919,0.9046738911283002,0.8122315603540716,0.8381280530437571,0.8313727856873258,1.2077292733412026,1.039813932470375,1.0148876102617277,1.2263348112025256,1.3261922382802083,1.2722449700176397,1.0277501705704564,0.8218105304294459,0.6375610193334856,0.9859449893694828,1.0222201097774628,1.1361104020791828,1.2409419115810045,0.8165645889240348,0.6310257316942098,0.4932799132665834,0.47925491823259075,0.42100186681767515,0.48145140670663544,0.5445429351499594,0.9575575671894699,0.5122137614829835,0.471745930374169,0.6009153861046127,0.854169215950904,0.42986734785600916,0.5384329482316058,0.8936508112675724,1.4619189586849637,1.782322936038528,2.319636814158817],[0.492686429677753,0.43466521796958757,0.40239182995215056,0.519109324681416,0.4670070420778476,0.43754781959234446,0.33432528639287,0.41575329632361063,0.40402183514744744,0.3411637090027624,0.3646380638757162,0.4769555274955574,0.3632649707727932,0.38616651521102163,0.49443994915480105,0.4426972112215278,0.453731191804385,0.5125772017066594,0.6101785008588977,0.5597571291680999,0.6242124279758495,0.6455174367628158,0.7832167393186997,0.9938516946221945,0.6596331300623366,0.6411307224919521,0.5631884346467391,0.46352419142176743,0.4749904393454352,0.46951167258913235,0.5340991583644754,0.4801207837974794,0.6278926359200395,0.562641403988179,0.4820235445292202,0.5044883428767458,0.47511490518365,0.4862701381795416,0.4703345730504827,0.483830581424802,0.9113136197559875,0.6895040000414823,0.70642539868316,0.8025673703507318,1.1771020237712002,1.6331902387988113,1.499537320254139,1.0639697063182232,2.160663193434438,2.183267393198311,1.1441974778339223,1.5321065935177227,0.8740749644731143,0.8828853895587494,1.527099218674816,0.722317466780624,0.802239527966029,0.8051529111415544,0.825862199328879,1.1897578445541306,0.7832994365215623,0.7688899409286082,0.6919815761850349,1.0111963336697694,0.7386667723369794,0.6293079622612053,0.8066407118494673,0.6245670198307106,0.8773244541789373,0.7239096595184799,0.8994009563826961,1.1175187259777974,0.8686178317105163,1.0169024136164735,0.6804783240830166,1.269176437565151,0.5665438928219839,0.5878126341176778,0.532005583106798,0.5593272640150414,0.5481970759002367,0.5783061862518022,1.0167210416844206,0.4834278885778389,0.5479246604812705,0.46115802394177624,0.5026032732682583,0.5961583822388923,0.5313407887020763,0.591221703829038,0.571470202729719,0.867760019415639,0.6874657613418163,0.5967164085274456,0.5477330721930145,0.6577178719036906,0.6081500517441042,0.5558017993054312,0.5352220456457948,0.7909395748623164,0.5469444342580355,0.5585816703051187,0.4603331068823972,0.5181265954355145,0.4877511984976986,0.5012454348660046,0.6245195304222184,0.4803509327457204,0.5058527566359914,0.6848364942116821,0.4665995352738718,0.39317324833713585,0.3697601151559596,0.3910553118842426,0.40864949394066213,0.44046528740797586,0.48132080214815326,0.5212550978733058,0.6662977436519064,0.5300442118050536,0.4931070650285469,0.4432098113077715,0.47686190840989845,0.3870772043565518,0.36847224749761553,0.44030761117900513,0.4491023984463039,0.4418982432903395,0.43812832371692234,0.41173710683613274,0.4399878395111514,0.464701786872843,0.4405407759335877,0.47988283927486197,0.4434802724890047,0.48241409506917515,0.7476030836327374,0.45735209243231273,0.4794165463508622,0.4731483904139654,0.6785698092389695,0.7377267445699144,0.6269786385492948,0.48038032251882884,0.47262220374329417,0.47351668917497036,0.4242899237674548,0.40765331454406445,0.39750335168209583,0.4259379917043616,0.50165453772327,0.5878561989210873,0.8924440169858103,1.7897254307757546,1.2231632475373746,0.6349661408750753,0.48212591131673943,0.4956266682516269,0.42449866565765554,0.4756324404223998,0.4187066192908904,0.39704194177474345,0.410830247431761,0.4111554190881578,0.46575502822935133,0.5139800384841869,0.5332561404201548,0.6883674480997258,0.6947273393297131,0.6382805118633178,0.5185003199248733,0.4719663902919317,0.44698324831329567,0.3909842244327087,0.38471661337713703,0.456574258629928,0.4583401220920003,0.6533899954223708,0.45266553213419375,0.44502684884983656,0.5411042778212825,0.41269259871550656,0.43211947092555275,0.4431726879238526,0.4875170721106279,0.6166505650744024,0.7239039841424263,0.7512254101511002,1.839637706626124,0.9210658607114977,1.1314529787579723,0.9147301115745183,0.7843046437262234,0.7196766238677883,0.5595286504805257,0.5308661522245436,0.5342779267593544,0.48036233463532646,0.515578314983254,0.5856768142269229,0.47603041004842017,0.491563863281675,0.46211015009733286,0.49983473254335553,0.4889375433038251,0.5055633610873539,0.5968355180620273,0.540547218491034,0.6045667604926142,0.5675410733819221,0.6265774048542616,0.6782859650419294,0.69922345394826,0.731732091079901,0.8290358455322188,0.8127820912998047,0.9527801463749604,0.8429928173184621,0.7341732837836167,0.7705852464827212,0.779346188652768,1.6658280603551385,0.9766617278605728,1.5748921447569615,0.7305492277250286,0.7184172814846131,0.792527277412467,0.8049861885355306,0.7047263660024784,0.5417635593555105,0.8101682157246407,0.6452656177550634,0.7857446965994408,0.6319880382711007,0.8985002707665346,0.9151922606161673,0.919357671872724,1.2225968153267657,0.6306581003045222,0.578379532164154,0.5628146472699882,0.6593340648619279,0.73968142844615,0.9051791579913971,0.8187325036923925,0.7565266736853704,0.7371221985352336,0.8961565405077898,0.7679526109775185,0.6790159164850744,0.8292712309361795,0.915563534281101,0.6957680612156667,0.7751378941045749,0.9982911281301001,1.0383138830262524,0.8024955728636717,0.8244940897074412,0.7402616946208035,0.7182620003382524,0.6653068521149155,0.6420786348415639,0.7024630268067656,0.6158214805435501,0.5975998676324026,0.6247274571819115,0.6746886077718545,0.5806423920527589,0.6337790839016532,0.8520876343561518,0.7799696738986985,0.7906678780071646,0.7637749045774858,1.1520197322651526,0.9981943828280286,0.9845349326916893,1.180854291519956,1.312883127675883,1.227951733983065,1.0146344099727194,0.8232450551800479,0.6543143464210592,1.0101804752862136,0.9866622018876999,1.0817328013820398,1.1824073468339789,0.7866957976239651,0.626740248413359,0.5042442639150004,0.4980230452959685,0.45943701015569266,0.5014072968250942,0.5798805576316991,1.0121451118490843,0.5252920125946854,0.4951052491580683,0.6290609394384763,0.8302062059345825,0.48172014638065325,0.5754637564054539,1.0583896429552726,1.5839082755797822,1.9155123555755538,2.4322052482123495],[0.47418878158787575,0.4227384039421732,0.4168523509163941,0.5053880316554841,0.522241093678686,0.5254285437157183,0.5088131396707122,0.5621210576579725,0.5830537595724443,0.6153970454227186,0.6400631401250536,0.680073143738693,0.6384129409069077,0.6986617854059447,0.8057767725501602,0.7441733251536418,0.7515824407859215,0.8494043287524379,0.948270310606419,0.8933442352209542,0.9877297911833854,0.9999902942122973,1.1387044400408166,1.3275901877783165,0.9968099215601735,0.9901647076821897,0.9013695906164964,0.8143288506680391,0.803343138225015,0.7493686120893682,0.8385334505586435,0.7462869041598253,0.8854428115343823,0.8572849559807378,0.780055423904367,0.8276501645166945,0.7562040027988005,0.782715222471774,0.8026397939017057,0.8106813332919116,1.0944920319393157,0.9557739721453146,0.9836018088369334,1.030748002777141,1.3724536424589595,1.7267725810202847,1.6234550342027643,1.218200604730179,2.17883588030696,2.2209709423353496,1.319543953323885,1.6331198196158867,1.046937219055012,1.091230565497832,1.665228301019115,0.9895610760826377,1.015063757001106,1.1142206675436501,1.1196528414274272,1.3864416579690848,1.078319437980825,1.0595973582099354,0.9755649660365223,1.3428728365356926,1.0805749648443557,0.9614947218558482,1.1085531478633837,0.9404790142341922,1.203236123711718,1.018496006303051,1.157233972946294,1.3225173759532982,1.1584737647692962,1.2980035363838913,1.030739470806841,1.5780258176824324,0.9267673817123363,0.9355472943271093,0.8726734653529707,0.8940198506269664,0.8286600477139481,0.8774170831250317,1.1660139924110626,0.717704175300237,0.7741432942574699,0.7546377482021921,0.8355599663576618,0.8487079249394895,0.8700352172477769,0.8832046422011627,0.8984784968065653,1.1740688649345892,0.9926724607248254,0.8842768556679524,0.8263556825263206,0.9006365976262424,0.8397614810042179,0.7903312349298094,0.744022656058853,0.9203741182802304,0.7391990930305358,0.7050987643684511,0.6625054691949781,0.6846704550801713,0.6712455112958574,0.6611146980728048,0.7248032068075958,0.6296217220063426,0.6335380979476157,0.7556919857247878,0.6018146319779344,0.5913307652727601,0.5785924038420336,0.6403596769057608,0.6655156808628739,0.756431512786781,0.8085470780277515,0.832209730940315,0.96291883438093,0.848148634083095,0.8275143182818238,0.7799255157218162,0.7939318512762594,0.7047936456959735,0.6386248764834915,0.688788079072266,0.6070509690331841,0.632038791314901,0.611163064996975,0.6053646448657577,0.625332196667952,0.6307176864748865,0.6501709177865194,0.6526618146679309,0.6596961083193582,0.6919593691310268,0.9140970876271985,0.7146900845089363,0.7433259887077344,0.753531358684762,0.9237573108022901,1.0030175460880975,0.9435537310771693,0.7999449428527174,0.8003832011038924,0.7697012851518785,0.7413381967528695,0.6811417447931067,0.6449716890373568,0.6440332469711221,0.6431280931617921,0.6922668485458051,0.9616604164924524,1.7970173964747458,1.2786788224071184,0.7475376747491878,0.6558998384829707,0.6602009666189226,0.6488405616702833,0.6629783858999273,0.6815525621550552,0.6731834059400292,0.7236649594397794,0.7263285416728402,0.7602900311592634,0.792340931999672,0.7906423248008958,0.9310104037997459,0.9001312545701717,0.8531209820837687,0.7586145220374932,0.7288518821092312,0.7133589486376737,0.6674636080210583,0.6616417326461145,0.6859079702366703,0.6988562946648275,0.8070638806059436,0.7089522511715961,0.6582990362749778,0.7871334078502514,0.650636705750183,0.6812957670128379,0.7093135928621708,0.7595898768425599,0.851129358046224,0.9690141458737307,0.9939104912464108,1.9468365459972428,1.098406328727518,1.2717584196841947,1.1500315882026901,1.0055815297888668,0.9193162908666975,0.7610900042049801,0.7321322494313838,0.717620798458959,0.6303785764795534,0.6278161865177846,0.6707363029340664,0.540481237067319,0.5358675920091118,0.5303866995232588,0.5482976133410357,0.5195557711048734,0.5286394563012371,0.6027514945555494,0.5764325293452603,0.6335608857789701,0.5918806559580962,0.655306311966561,0.721461908441677,0.7270831795227468,0.7550607547657456,0.8803580447463454,0.8451095304508133,1.0194125059921508,0.8827709082497254,0.7710207684855788,0.8290645732934697,0.8510259531668769,1.5947109909622585,1.0250048370362308,1.5491753987689427,0.7649362182486754,0.7358666704899328,0.8155741000009346,0.8274674927873191,0.7636066401195365,0.6268491058013146,0.8997501725225407,0.7437384018559561,0.8682941678589596,0.741805615852048,0.9524277028371716,1.0236958408286545,1.000708573037719,1.256978003360266,0.7123914886145781,0.6526513379028449,0.6421331619795098,0.7096239830560516,0.7720614544629566,0.925140574994936,0.8401310736088327,0.7881185859598282,0.749707628217163,0.8922577593897973,0.7966790496206547,0.7031097682831587,0.8427109456436803,0.9297384886480703,0.7165670774350584,0.8021549921783486,1.0280972990949842,1.068598011654771,0.8398563958823348,0.8709564796443648,0.7847817265670997,0.7517402126137447,0.6931252202834585,0.6716447568248712,0.7417494866847932,0.655044580151724,0.628105983261788,0.6801125720393913,0.729323187963307,0.6411587728358635,0.6950689068746165,0.930586246740508,0.8368840992476038,0.8601186141595124,0.8574209220811424,1.2058733687773242,1.0595102897968254,1.0519598938047314,1.274448730886131,1.3607906404578534,1.3129987867658748,1.0630564781684722,0.856887592812831,0.6802563791042858,1.0286513520900005,1.0736320947939282,1.19033012130435,1.3059518941548083,0.8730567955822406,0.7209083247236127,0.6116924536964151,0.6184710707597226,0.5242704615543438,0.5735650537041632,0.6064731567275501,1.0057577656847334,0.5884218553651045,0.516897689728612,0.6356687461998912,0.8449812045609457,0.4803725050660293,0.5723461763497315,0.9991676804487589,1.532888641773405,1.9403309886364812,2.4864216126866183],[0.4889688734169135,0.4244475983220222,0.40148381442665987,0.40439291262931387,0.4355885621970981,0.4441850573993672,0.30275284242569006,0.3883400005637998,0.3751245873875495,0.3259633107188683,0.36402762482928946,0.47904639732987375,0.35170836153021895,0.3868637057011185,0.49163686800899387,0.43576897863468883,0.4454094041487276,0.5167333658432697,0.6305068664529788,0.5660336977050526,0.6481438938057112,0.6674923018958973,0.8086381291550804,1.016395010104993,0.6891863958128959,0.6626706845300606,0.5662156037204682,0.4700603300946327,0.47326910194823274,0.450217005355249,0.5402639738659009,0.4725164677637582,0.6147945156519423,0.5494180308823317,0.4706679538178272,0.49580586886765127,0.44683457841290225,0.47830898019704243,0.4568285351980717,0.45929543675281903,0.8990482501146324,0.6883569664896104,0.7071385539668144,0.8081899476827037,1.1891216874451764,1.6778522973096384,1.5484038619352727,1.0809967141647123,2.183157800748403,2.287190448595718,1.187171461916386,1.5588569557944738,0.8577211893048767,0.8578002759311444,1.5012896540100358,0.7178447425856903,0.8082824488883114,0.7807666870708371,0.8109297366642473,1.2061061732974299,0.8072282920403009,0.7854926882879135,0.6974131930258919,1.0301795016475803,0.7644013189921828,0.6391806590238593,0.8211207731035042,0.6321912020877168,0.8955237231383674,0.7449683818553958,0.9141704135696835,1.1361069472623402,0.9191111827563461,1.0608868056746898,0.7092969924731358,1.313809401489578,0.5862696647591935,0.5864240307338954,0.5338216083297562,0.5478285211549749,0.534782365481727,0.5431488439231471,1.0056032328639488,0.46091024245939893,0.48779052392129396,0.43489698065518856,0.4879042062081977,0.5729564549545002,0.5265452979312407,0.5960691840080501,0.5665430331895072,0.8793375148980945,0.687613330420684,0.5914684216752827,0.540841018051305,0.6485407078844784,0.5941652585734961,0.5391272569523275,0.5133625748375347,0.788504515834714,0.5290950397605184,0.5259517990400685,0.44157668989276083,0.48027130099050014,0.4650787533244535,0.4560637331712897,0.6315426941186851,0.47424218746022373,0.5154184371924055,0.6919717668147727,0.442984987276833,0.35716163851899657,0.3235392807809837,0.3597835656775171,0.38398070454154254,0.43198868247730665,0.4862380543364204,0.5435775209633781,0.7059339245977212,0.5393063438606627,0.5197261596172525,0.46452349044825064,0.475615338829893,0.37008124856473046,0.3373279254296384,0.40865277696829344,0.40828945674837464,0.41821602008476255,0.41521500289166063,0.38400352024274664,0.4145106180092523,0.4444828806864164,0.43056041088202646,0.4503301241668006,0.42755833030147744,0.4855507718492241,0.7428427432843787,0.44832633323953003,0.46827155248232233,0.4668030605343495,0.6915264499535122,0.7634975074857223,0.6460740083226162,0.4751090138234631,0.47388951125118367,0.45709474500087055,0.3948147291276366,0.38389280832480477,0.3445113298033188,0.37555444788381154,0.46551255139748654,0.5556747413837952,0.9190128079914659,1.7115116962742716,1.1633617355398365,0.6245439571251826,0.4385872831808587,0.44646828083781903,0.3946678613641574,0.4434557355242444,0.3754308217169156,0.37611054098934926,0.39216562117018966,0.3784545129849951,0.45404378183173455,0.5155610005818269,0.5393738702654596,0.7223909038578666,0.7294904773719075,0.6598874719473828,0.5138350748072738,0.46004368925434963,0.43671686427828926,0.3662600057757042,0.352412368308301,0.40949662063027537,0.4150728449450911,0.6244690104811074,0.4213569728962097,0.4129941373965848,0.5267473994633297,0.3847141717022407,0.4082816838962663,0.43662762991342746,0.4785944512964642,0.5954227960861592,0.7079957169336203,0.7410970570760963,1.8494684062539948,0.9391842639008867,1.0969447556895444,0.8910298317152702,0.7825931355162321,0.727692871957992,0.5575875981606659,0.5234218140467727,0.5268568313743529,0.46257019053845877,0.4916687015784383,0.549153032123658,0.4806158582676336,0.4746579201373008,0.4471067662230893,0.5025728889100766,0.5264337390164672,0.5296690562693923,0.6015599495167753,0.5971753761177175,0.6681296970904526,0.6045341395403675,0.6781536374375158,0.756701482550821,0.7656685912820184,0.7711618735790714,0.8924196516550107,0.8504932386666187,1.023930574355359,0.8963023541127607,0.7923523215483147,0.8537776279730838,0.8889636982836495,1.6429949114917741,1.0694964680917776,1.560560815133417,0.8118472273620143,0.7811333016791949,0.8276573607320988,0.80303340224363,0.8079996425502486,0.6087044418672827,0.8596954846382465,0.6883965719925823,0.8476103536227457,0.6894890808090496,0.8649677977451157,0.97854312321204,0.9465342513744489,1.181726944757214,0.645476960400139,0.5443297753552472,0.5426445431705841,0.6580453868079236,0.7269986592407296,0.9730692576078286,0.8407839858578245,0.7631742624761487,0.7856242603869142,0.9191516445492344,0.8003761712002478,0.7293118540232086,0.9084538781410059,0.9933502410496171,0.7706378667401442,0.8904799557425002,1.1213710510425376,1.1452501140533136,0.911478113696405,0.9559292726969976,0.8525751586091349,0.8288192373706716,0.7539324064726093,0.7324852801755046,0.7937205608763614,0.6942451436402443,0.6679213016671783,0.7244137406837446,0.763837956131968,0.6432385097806348,0.7183068842826719,0.9407271365590478,0.845173803239185,0.8492776423079968,0.8479166720173654,1.229266719744397,1.0570927157298038,1.0478781227084046,1.2341838771605302,1.3597694220444405,1.361482215573092,1.095082963685238,0.8517226147470623,0.6679135263086051,1.0564001693578784,1.0904739315813954,1.1918951296420601,1.2762510535458509,0.8288696438740177,0.6361423254694163,0.47785187310785415,0.4516048997017354,0.4361955332250044,0.5154988606609534,0.5936476143193028,0.9839501766181956,0.5299249422632017,0.5138009485714018,0.6332116890923546,0.8291438727583951,0.44668279718108683,0.560725376979035,0.8599330734492341,1.3683629324740127,1.9060432231349156,2.523250932418622],[0.4661242987439798,0.42029139331503607,0.40589952802928203,0.42616212127675784,0.4721800157266386,0.4561481573230996,0.34425800635260195,0.40441782064652937,0.42239441132214856,0.3967741575838353,0.4249764533653134,0.5010795349724584,0.41926646123483396,0.4829329189788034,0.5888238051731678,0.5219441247270178,0.5475893848722595,0.6033589431424555,0.7411326045240265,0.6751721620630731,0.7671622504103628,0.7917581065385348,0.9161857478654231,1.1332736713461253,0.7789455701316109,0.7670567449565625,0.6830017195351608,0.5633447655092344,0.5552618495818803,0.5075727165024975,0.6161052181520605,0.5176030991012333,0.6387595125305271,0.6258227346895228,0.5283503486507466,0.5716363597114222,0.5128443786225455,0.5461947422188038,0.5682765626967469,0.5783955535831667,0.9703766898254108,0.77443307801456,0.7938139728718556,0.8893225560107858,1.2998025321669422,1.7332354722013383,1.636418985604908,1.1430391063484966,2.1611473205039866,2.3433985582478445,1.2510699783232275,1.5766179912232938,0.9223045311284633,0.954071598993492,1.5620145248145734,0.7767728874646521,0.8407483535126131,0.898551469030823,0.9027002699229492,1.2522009018661455,0.8868117590356359,0.8568496678499405,0.7446308164589192,1.1417822822578994,0.8953464623448671,0.7443507206449973,0.9315847181033715,0.7444509989869496,1.0202185382047313,0.869717671905786,1.0148424443466184,1.202233468412482,1.0214287519837089,1.1758920829306272,0.8157164146090777,1.3764308316987437,0.6959449712693356,0.6908723367661632,0.6125375363327915,0.6256295649643472,0.6258223389685043,0.625364513375481,1.0184989831090907,0.4871507121915032,0.5688463658301209,0.5107631889425901,0.5783549732834189,0.6254410321142404,0.6029355867442834,0.6708781261201368,0.6770889442223607,0.9910741258662513,0.7802590895495202,0.6694505503146727,0.6113359267539897,0.7234332101503697,0.6946245755204432,0.5863695614726351,0.5372293026307077,0.7813266308673019,0.5429445650246731,0.5395892877097481,0.46315202704042013,0.5032708425482626,0.481928897166802,0.47976167550540016,0.6379971580836327,0.551122151196592,0.5765253970751192,0.7089201033159558,0.503639816337099,0.4184880969676029,0.38215557609093165,0.45213175863691346,0.45610325519119255,0.5416635386594006,0.5764407294867658,0.6500407933866527,0.7960660653116037,0.6278104691477813,0.6223329612401565,0.5724084657607775,0.6037605653376654,0.4992191638782617,0.43520372245142547,0.507628013091145,0.4816661436823151,0.5052439441771568,0.4980672806975678,0.4593149595722102,0.5229303325889925,0.521695075731819,0.5325877084704173,0.5067479946538448,0.5293110331077313,0.568484172858936,0.8217414791169373,0.5668391424258018,0.5850620395021029,0.578930115711703,0.8078977351642844,0.8981085455733864,0.7642497578810367,0.5888314698602135,0.5823832334168053,0.5529807185715361,0.49787138312686646,0.4538463225614579,0.4006214739756153,0.42739273612301043,0.493808741526565,0.5563421047934834,0.9016983537326637,1.6767780390399278,1.1680202674850744,0.6140335927395758,0.4558869842220709,0.46554023917386467,0.42044954059089384,0.4799099994761907,0.4428853907594517,0.4465406768732509,0.5106855445346947,0.4973910308052031,0.5748384150088113,0.6450685768141979,0.662702216869684,0.8397566731969025,0.8185826695879217,0.7625115554303421,0.6267200867346058,0.5740523651976084,0.5308546748392091,0.4597020025209736,0.4189905724578109,0.45259875221622964,0.4676049507046494,0.6406641940688599,0.4678570597227905,0.43806383355232753,0.5948792565481805,0.4372503756754846,0.48986086137300094,0.5411340466807931,0.5887221187712992,0.6804232969907571,0.7936042101414276,0.8373787722528877,1.8941069426994803,1.0054469478800152,1.166511670948584,0.972977691021932,0.8666137682033477,0.8046377841364935,0.6562030013644256,0.6690952041012117,0.6577193687964527,0.5866346579791956,0.6097998017949966,0.610271655423086,0.5470279272564446,0.497553689879046,0.4877780644030901,0.5800639326258393,0.5741987566341767,0.559876545423038,0.6548631143963212,0.6574860238563095,0.6965647870145817,0.6386271438663186,0.729534242095659,0.8083618120041549,0.8052171964138006,0.8218223199420767,0.9585595688835356,0.912707894290154,1.1253955559148379,0.9767719962502641,0.8695510083267073,0.9328519979770649,0.9817187140296806,1.6223919801404818,1.1498081271470482,1.5602521223411054,0.8440004257977264,0.8078303509357518,0.8446661135211406,0.8452713985522748,0.8719242131452043,0.6948200345895982,0.9086919709705886,0.7677802277928892,0.9078386934646847,0.7705823975630576,0.9667105972807262,1.1166409538224782,1.0399999717379331,1.2598586643975358,0.7450050817197608,0.6258866411169838,0.6021617263060292,0.6769539874871612,0.7335362450681163,0.9428346501270269,0.8276878924397746,0.7716445175690211,0.7697275352323563,0.8947259015310403,0.7783207588007933,0.7371623268147429,0.9119410397621489,0.9988608873792817,0.7870039312526838,0.9020766307816538,1.1226403256808333,1.1790930729479645,0.9484719332729147,0.994254387598091,0.8936969949325544,0.8542783442824465,0.760240001264632,0.7478133257972602,0.8352797497454058,0.7366196958082032,0.7145126953908234,0.7844801157581073,0.8250597129928706,0.7255981901394869,0.8071198392607021,1.0277266078753469,0.9400544992715368,0.9774564731702158,0.9925883116847042,1.3570854909497874,1.1855365587145612,1.1589078927806256,1.3666461535218632,1.4622957039247804,1.4280950392208855,1.1640282996766473,0.9187387504269545,0.7195707630121525,1.1010880557700229,1.1819697815945032,1.3151076477324932,1.3919564264421538,0.9292447697363404,0.7111683314338383,0.5733194085044313,0.5393732931929054,0.4856980524323008,0.5397546075427294,0.5832460569576342,0.9239938652124812,0.5598694359279345,0.5157332071646611,0.6147446713519807,0.8471006527828281,0.4393212876784789,0.5476927860576799,0.7948037309271576,1.3419634799781344,1.8284249257594776,2.4656085021489798],[0.4593748766697418,0.4498001595474907,0.4659510101070225,0.47934510530698143,0.4727954573652335,0.46208209926471355,0.321752391537597,0.41445387068874,0.3678913163341946,0.30483038258854334,0.32570168550701145,0.41897778678474473,0.3160759600407187,0.33593751086895723,0.41337184562754653,0.36245679212565163,0.4011551199309212,0.4256113748910584,0.55584195936698,0.47681823067983414,0.5411951706680568,0.58089241590803,0.6699166154554468,0.8717982082133605,0.6415579635032198,0.5874571703990273,0.4932233598410089,0.3993291129196915,0.4085788457574044,0.3662101893720377,0.4391603068933837,0.39372790117678746,0.5040182161503072,0.4596861010308556,0.39757823982767687,0.3980750305449299,0.3765822504365132,0.41706158491706374,0.41337998397752274,0.43520846385676565,0.8649400427712683,0.6174467624620755,0.6353118311167889,0.7869995813345178,1.234234067560891,1.8427861351076942,1.7054588412000393,1.1464576843947043,2.2695831302130123,2.5431314777813494,1.3060195366637533,1.605777437823527,0.8753832161923666,0.8604867026681199,1.4826757566721884,0.6778482330736681,0.7543616251417001,0.7120040329947526,0.747543456897157,1.139671240156958,0.7323526889619901,0.6939516544004148,0.6135194095074374,0.9000302887973911,0.676565421215651,0.5332425803537376,0.719164407522737,0.55530010589155,0.8196768132161935,0.6927502374208766,0.8834094328384082,1.0837270369330145,0.8510996670372153,0.9789273894979057,0.6036875897300139,1.14650585494299,0.48369822713973104,0.4821558937018606,0.4242323052412782,0.45826334551336273,0.45712104555794203,0.48238568958873734,0.9147935272379828,0.4526933090244187,0.44424587444329416,0.3874781163018088,0.4003347603264508,0.5173398511544892,0.42289447825311427,0.5169147725813451,0.47146541782149193,0.7547113473347282,0.5704591960319264,0.4710992335370359,0.43402265573087095,0.5595644643775993,0.5226058287491224,0.45867792532233514,0.45010492196569246,0.7379979773182725,0.4812017958932802,0.5427688959163861,0.4254862676458233,0.5155754136028001,0.5147061656516155,0.5018474332104845,0.6605564483001095,0.5366025948448775,0.5741712687997655,0.6953931758823344,0.5038458686349707,0.39889820710535673,0.3363499730837352,0.36771505637173835,0.3516973846905289,0.4209398063966566,0.44220275324560493,0.5198704032219386,0.6872740175766774,0.4729606588975514,0.4716886630430642,0.41127105516114226,0.4495732662986175,0.3464721863484716,0.331297107184367,0.4257843130059304,0.4737166064095474,0.45644818009228705,0.45791986146950125,0.4284699678780829,0.48487909627078624,0.5042313023795589,0.4875505122402133,0.5065270845399252,0.4742828878475755,0.5209687202097097,0.7778264630454699,0.48755760370352585,0.4785151576395891,0.4532654081094509,0.6720679555412769,0.7458374776459483,0.5964255973395334,0.45570839758616016,0.45138435559585555,0.41850408659590194,0.3803646612385124,0.3632063775373787,0.35172680229472103,0.3974260625652748,0.5024321740993037,0.5426831095840396,0.8917941638032493,1.5489621819612545,1.0717404804644943,0.5859363556912522,0.4198982448201742,0.4585971608334725,0.3816413809365939,0.4702558297510613,0.3866053453738804,0.3792550577468538,0.39327652210912006,0.3684470196862492,0.4712301670946141,0.5285834208966712,0.5876845025235196,0.7696565982651419,0.7868176752507055,0.7143005332037273,0.5589912913582914,0.47464921970231666,0.44863003105190147,0.40267564457836985,0.37994104134893114,0.4322117123512058,0.4122639691666699,0.6328185887146339,0.437350057241231,0.4541658445946661,0.5921331924123638,0.42741157846311256,0.4504357301980864,0.4872058366138857,0.5299977395881842,0.6432645648814425,0.7482694587773253,0.8409441246984778,1.8283724358679554,0.9190239905209079,1.1274718845863023,0.8074845725909534,0.7860801448202615,0.7538605479475692,0.6040124483215938,0.5961729956665153,0.586553684123934,0.5708202605996641,0.5933542328160575,0.6004206466597581,0.5846664661236881,0.5582485362892861,0.5251819759340065,0.6025780181827644,0.6183423728979299,0.611089369454325,0.6733453737779986,0.6702864396969038,0.752100591869344,0.6724408385165771,0.7312593883045292,0.8383532886981013,0.8635501959720707,0.8209258137576374,0.9525105629873323,0.9017659124707365,1.1212133141648293,0.9523040840960099,0.8452197065596764,0.9323883301192113,0.9775403335217601,1.6083178125708233,1.1967431057268234,1.600650378336225,0.8905984466828067,0.8646112538100261,0.8859821552746151,0.8511367761923235,0.9158823672675622,0.7071357853673383,0.9087319284480201,0.7789131422422968,0.9415432137624671,0.7815398282775317,0.916895405671651,1.1111204046205734,1.0327457033626077,1.2329764141756192,0.7448375856120494,0.6498421923062967,0.622160219199632,0.6961220119163165,0.7627733062622232,1.0216483965719494,0.8757849472365906,0.8115673681602092,0.8325773435466937,0.9565264629534592,0.8396119163862814,0.8065851128389206,0.9921857284493022,1.0738710516133527,0.8652220758205127,0.9933729344566659,1.2118297484804692,1.2745880305499884,1.027827384189022,1.0768021040138338,0.9592014688886135,0.9262014514686703,0.8308450520017703,0.8136817559596935,0.8775668467331659,0.78246609260538,0.7573761980971064,0.8140631356376863,0.8387174231757032,0.7290955731065952,0.8114825710284368,1.0136377885408454,0.9167994219103318,0.9409830334366944,0.9428942128871407,1.3137133117991853,1.1351004470687989,1.116594870496754,1.2868643855430903,1.3781189740063773,1.4286014155120097,1.135548822223801,0.8873452129004247,0.694861436314392,1.0889301909763978,1.1571859033150604,1.2671279322048725,1.331995336812238,0.9066223571322997,0.6972922109642907,0.563288963592622,0.5247072578998703,0.543226050966435,0.584376366982579,0.6392246864114098,0.9425526472872439,0.6022353405189504,0.5703598122299263,0.6699140032346698,0.8962664711908039,0.5115320989404317,0.5912025738026675,0.7240453336074238,1.2032811559418113,1.818002174300072,2.5710052270533565],[0.4456411178866532,0.41959042339546065,0.3871799411888025,0.3928052134941198,0.4615917475115904,0.44160073899166014,0.3160537463825657,0.37625130842582794,0.3899786237357651,0.33837224143241473,0.3368854509718506,0.4192848336342724,0.3497317538942473,0.37490844967458775,0.44192807770803283,0.3930152775085219,0.42943555372170833,0.44027161320950614,0.5659653351200894,0.49727162434419103,0.5578414123479156,0.61095022659582,0.6985602581365034,0.8859901275333832,0.6591227413264585,0.5980475876574901,0.521391796183546,0.4325764326131068,0.438649023423224,0.39183501241727997,0.45205351192608095,0.41191623127803245,0.4923114937586068,0.47158313647392314,0.4075445952944302,0.42741324359170135,0.4119029234705806,0.4430496763383434,0.4541263641891837,0.47806331237267896,0.8448392704378476,0.6113614116001411,0.6267144000118923,0.7907372392643508,1.2917604747131117,1.8456268218392053,1.759590663136704,1.1456121143252282,2.1557060646811768,2.491365607797032,1.2940481300220514,1.5921212490070156,0.8936789585494185,0.9349125330729275,1.4708810912166932,0.6717836416322632,0.7301241203024909,0.7134113698814837,0.7147603686074232,1.1562066685254957,0.7602343727254307,0.710910795792022,0.624536428030844,0.9163383780836913,0.6935390392692837,0.5583811198863313,0.7244823120730172,0.5719943045186011,0.8033998936141059,0.7135769030585486,0.8818109072423815,1.048654055764188,0.836290814845442,0.9646232754789186,0.6272085326717765,1.1480091560449008,0.5200361110309061,0.49746247047817405,0.4700831202264311,0.49068431616282077,0.4890962462979773,0.5051468584359097,0.9285149975490162,0.46321215905655455,0.49060039527078325,0.40746373531146834,0.425613113618968,0.5480536748468089,0.45112395389751336,0.5252104814798654,0.5147573856786201,0.7742311830330921,0.6118581207415688,0.48354126213664167,0.45371033161320895,0.5742226359006991,0.5650764520399607,0.46886189022437025,0.44786035791589157,0.7081967867031451,0.4705355603670723,0.510456269716517,0.3916267020064316,0.46322354530372556,0.4661298876988318,0.45261978011279047,0.6045678779585703,0.5274958442380202,0.5548052317255784,0.6826654202539494,0.47313684526396665,0.3797612891472962,0.3326887314243078,0.3729429063533875,0.37617230432723214,0.43699598233474607,0.45986751302324624,0.5601359249515844,0.7134785112219926,0.4879556292339458,0.49232077070080327,0.4359330418965687,0.4821043240396202,0.38658430482460204,0.36186784117949683,0.4213917299070137,0.4396628414604618,0.44211638514320317,0.4346451305891797,0.4100746863542368,0.4690121580619793,0.48212450418667985,0.48356378187531684,0.48368585050761254,0.4805314626202047,0.5351230148785635,0.7772900595090682,0.5077688937232273,0.5096757201658456,0.49677546255381233,0.7270262555678322,0.7982302186660524,0.633099755291232,0.48628656251789365,0.47111847912451255,0.45567249139587485,0.4147910246210338,0.38201229105621903,0.3566335575986495,0.4081702894032638,0.4624221112521456,0.534376927175192,0.8399062110511324,1.4932653524755997,1.084395233864926,0.5508059965038676,0.40659041028108006,0.42483096918452395,0.37439673554218933,0.45128455734653766,0.40731874387034017,0.3932887751584983,0.4493576077959076,0.4291442208944526,0.5113890503245204,0.5793153223526408,0.6344196532029228,0.8278255187509164,0.8251786917093176,0.751678975522733,0.5939733493891538,0.5233968427568643,0.49407592732773553,0.44679662321093067,0.4055145074546147,0.4379759464075575,0.4270354632956528,0.604052500850684,0.468778118722638,0.4420010982315447,0.5759953434561796,0.42737821894072814,0.4734554321895479,0.5138067988848478,0.5316332158601432,0.6147736828110039,0.7237306294075672,0.8353335934552925,1.8157630723116187,0.9330983521582836,1.1493549028659247,0.8638024955106345,0.8386519847292662,0.7995506157966729,0.6318860694713058,0.6323194550793719,0.6117408551157819,0.5505526722471833,0.5550792315169972,0.5667605022265828,0.48894113986684773,0.4488373563468539,0.4450100976739064,0.5185351982451973,0.5200761216222635,0.5214605136459394,0.5852959234315387,0.5989514918495372,0.6603876310003661,0.6164297443510405,0.6901650769656521,0.7945164783186874,0.8125132597763521,0.8436379678577216,0.9719571008823772,0.8794684622004665,1.1199689217158837,0.8987060650523722,0.8008738573340916,0.8840945498849035,0.903575673906873,1.4997969264324247,1.0751775471562495,1.518314453786708,0.7949543292995385,0.7508849862468645,0.8021327691509642,0.7886500235248501,0.8270486963062833,0.6558825270611665,0.8747103213109181,0.7543382388874526,0.8941162154530592,0.7448150083771411,0.924404395439006,1.0828197914902353,0.9796076703733396,1.2149014129083955,0.6806457663699321,0.5872280519860635,0.5605536756466164,0.6386754153412748,0.6996063449060282,0.8762496946188281,0.7699150607656842,0.7175498632128748,0.7113660498039377,0.8053841755262866,0.7090102722513186,0.6913381490162478,0.8417557928295427,0.9351916383299821,0.746504350860228,0.8446423187150973,1.058020704528574,1.1850194509459142,0.9299777221063249,0.9526798163602094,0.8472667394241673,0.7924098067498427,0.7007803881471671,0.6858951783959328,0.7775165579737698,0.6868079042206902,0.6616740057088731,0.7272985808726588,0.7690465041569832,0.6679455377433234,0.7565713136360225,0.9783093511000376,0.8577325212854612,0.9013340962777329,0.9156304306073679,1.2654674116718367,1.0862630895776002,1.052772100841788,1.267048089571655,1.3408231929971763,1.3101702530314396,1.0438482501189388,0.8342281239482233,0.6437405966799017,0.9607352700682976,1.048496522895761,1.1788719861428059,1.2753881424064242,0.8396814932498938,0.6463946144952686,0.518699287769015,0.49292874834229616,0.4531688362618817,0.511564692070364,0.5257589631956947,0.8575804853345452,0.5485290020040593,0.4768482313997565,0.5518078920850219,0.8592700461845902,0.40431019024769066,0.5878114288824026,0.762028780565179,1.3965832555609257,1.578265667078735,2.1481865364627524],[0.4873604949797002,0.4724542215758634,0.4773743273918717,0.37840160404482187,0.5142810790955985,0.5164912594724727,0.3887506388811471,0.4479402168935207,0.4099219604957217,0.3502116596035989,0.35444271434928193,0.45188956512228373,0.36521515242108116,0.36489218730205086,0.4291541710880919,0.381073096680921,0.40240756103598935,0.4167091063066028,0.5407913501263629,0.45657955445238096,0.530017815188636,0.575527469861186,0.689210887093048,0.8758421396825912,0.6769622056915509,0.5831476553751253,0.48514558794759743,0.4044568938758341,0.41476799258214414,0.3858809372393637,0.44426554713928906,0.4133899003594656,0.5001775977883122,0.4717798404297814,0.4056328382348832,0.40799322892619533,0.4091090557090678,0.400218362648383,0.4226821890063209,0.44333942418076566,0.8236417371792926,0.5789060420814849,0.5888205143602236,0.780773475849903,1.2792748384073698,1.8804662447807081,1.8108335773668331,1.1682402283602802,2.1663818808721103,2.5926944974586768,1.3329250997628534,1.6253294784938828,0.8748141250782474,0.9125812651332549,1.4298412165859593,0.6398251691759439,0.7173062572948616,0.6522221435534339,0.6504154416130992,1.1474707085295879,0.7457447805321114,0.6977447489843552,0.6122087858361139,0.8896431198704148,0.6741547876968934,0.5408453359494427,0.7010242780792144,0.5440564528554837,0.7711957737232065,0.6989943454408452,0.8711761396600728,1.0465341615576749,0.8307463666432329,0.9491012574369081,0.6140896373048155,1.1293139685610178,0.49738458612687336,0.4798279420885694,0.4548968767112511,0.45842409245443605,0.45769324270311473,0.455162453168652,0.926174797663805,0.46320963877428256,0.4628050465785927,0.37541918576703814,0.3809689230601956,0.5385851118522826,0.42562818193283614,0.5211704411508379,0.49744812147971124,0.7495560162058631,0.6017085606061964,0.47887814012912167,0.4483018279453666,0.5750888854218628,0.5594326074690923,0.48432704249708836,0.48399482127766935,0.7579023953004681,0.5117651638706183,0.5516978364266827,0.43825947094035644,0.5266834759662435,0.5477379617889819,0.5260364749545274,0.7210046343409474,0.6420027530172966,0.6771599994090874,0.7870736247525729,0.5958482168115562,0.4613566143650928,0.3823840629373064,0.3877363147905357,0.38104041315448456,0.40376956828646465,0.44088292717843974,0.5402722469988677,0.6992935673197134,0.4629473400656313,0.4689463784255167,0.4201683544858643,0.45046416372348347,0.3661480885229709,0.37064811979021234,0.4242034457082846,0.512136561192632,0.5127387130122686,0.5308476500670612,0.5008401678756196,0.5633261250834143,0.5843562775034423,0.5740557886053552,0.5583182270038367,0.5445348758889574,0.5961211047750625,0.8064197283605871,0.5403037730220007,0.5089284854210234,0.47851436380912854,0.71651033753843,0.7883215501384184,0.602052744874354,0.4542645536086475,0.43951055725913557,0.4340700368586373,0.39429147838979556,0.4010758211151939,0.3801954289633071,0.42597056613725875,0.5187111929822859,0.5771092060022275,0.9142664058829852,1.4546678342186028,1.076178897404174,0.6085174627438376,0.45920423092742246,0.48130530987776354,0.4082512906180281,0.49626384165263676,0.4324008928592322,0.39299939906094866,0.45284729281151404,0.4318696425222514,0.5302053789042108,0.5922362465567039,0.6630748165185114,0.859379084707239,0.8764692731848562,0.7838916743831726,0.6258698176749993,0.5408203724275992,0.5223816377788548,0.4707758549454348,0.42305634285869326,0.47440879217393234,0.43350200714839315,0.6353774307168825,0.4742174870416397,0.4944348691729677,0.5643083846567692,0.4910913520079486,0.535222528053163,0.5790574385203684,0.560644239259379,0.6023799805612327,0.6865753064193212,0.8602603205045515,1.8014773103682675,0.9726572910981504,1.1293975904549702,0.8632563229205525,0.8932222765746578,0.879222692064041,0.7271864427465214,0.7116684404289816,0.6842654074632881,0.6608883829945843,0.6765040597266061,0.6541771825521738,0.6298517602232017,0.5909758709208508,0.5759929029902242,0.6443333279639372,0.6713647295625267,0.6642087954492966,0.6791248883564779,0.742607901430033,0.8236139573845587,0.751942350212045,0.8079255923725029,0.9422346040077514,0.9509824276846717,0.9549155748959506,1.0815390881183262,0.9396261725464167,1.2582005951987407,0.9933339885856141,0.9258508871543785,1.0261248931493334,1.065487355943356,1.5494909149235132,1.22659459181899,1.529713536731591,0.9298712783007508,0.8935287352115976,0.940982225027182,0.9171283587465908,0.9958799441750006,0.8042591542174664,0.9695614793037692,0.8758865188907097,1.007040358530769,0.8717772136447437,0.9958280742862755,1.2293770875462706,1.0868226840113833,1.242215827670579,0.7973558795812937,0.6893141935919653,0.6832833493026428,0.7431387268359314,0.7909334724518832,1.0122300200943442,0.8801797933018892,0.8346835313969448,0.86773753663179,0.9499353025682091,0.8494718387611907,0.8525030812636278,1.0167526321630507,1.0941292219203727,0.9175211287354705,1.0390325305647174,1.248470597938606,1.3608249549585103,1.113764098398811,1.1606413758965157,1.0327813399061054,0.9858017479518948,0.8771180375901889,0.8598329339581233,0.9544532450144011,0.8415679960540167,0.8139652137035199,0.8885207296419549,0.9093007903829413,0.7997757079740293,0.9082788205037162,1.1011712809169345,0.9821052744684248,1.0371265877052023,1.0730537205720694,1.392432482957527,1.1905529558423853,1.1419745309356384,1.352746447934707,1.403526360683493,1.4390329154228754,1.121218342911129,0.8925196441693749,0.7179586137395149,1.02650850232834,1.16303357440096,1.2949672496909401,1.3560015975885809,0.9252477895833985,0.7299954540745035,0.626819527446852,0.5860063695249734,0.5837771979548071,0.6475345053014858,0.6640232712054397,0.8768851260509153,0.6769189762535713,0.6234850904851157,0.6801674070562999,0.9128712728106574,0.5213925262279779,0.7165250797036752,0.7127464954782897,1.2717476290402052,1.6518583354246485,2.424669062509372],[0.5352350806574144,0.5694160717839513,0.6075713741874675,0.4376984633260902,0.5652116909546956,0.543115160025202,0.4380091890286712,0.49382837492281934,0.4063576576602547,0.34300970459279817,0.3346795516640646,0.4465892644104765,0.3507819228159249,0.3419173572366261,0.39798831441975513,0.35012430106481063,0.3601252708243489,0.37032550551269555,0.5099424444085517,0.4151658049278327,0.49445939517811394,0.5340906061568733,0.6714916492432547,0.8646265176278565,0.7041777817968237,0.5739624433218516,0.4660966002443133,0.3817524680871611,0.3648255895099488,0.36498126973920025,0.40748942810442534,0.40726455538811196,0.4824659285464427,0.4465389487188554,0.38459139066452186,0.38262681049657926,0.39124288350122327,0.3766091459853591,0.4008515158049649,0.4265547857260906,0.8312190227581976,0.5567365508725203,0.5746738818734286,0.7911601652516553,1.2392526997120814,1.8840021755590286,1.8190635544944023,1.1910575110206827,2.237238615416998,2.7024703255362867,1.4044715455444672,1.682714904500188,0.8657921672839067,0.8952717954124985,1.4194425801837074,0.6601363673506926,0.739371727706496,0.6307203965220737,0.6496914103516894,1.1448467252636816,0.7161821908762472,0.6714203842268307,0.5904624764479592,0.8553213569392617,0.6421190586856144,0.5188174175186323,0.6639056187863641,0.5007656734123442,0.7347274308115378,0.6744322334269173,0.8443904063191718,1.0398121806790845,0.8211038517660472,0.9293136253979447,0.5701977383821318,1.1089757028985834,0.455237732314462,0.45057829636312263,0.42023184745253644,0.436345520870651,0.4442693180739567,0.42117562500384814,0.9295024453097305,0.49070884597351766,0.47591900725353087,0.370201428314449,0.35972098465725055,0.5098191842924003,0.4014959174067832,0.49430844140880476,0.45520651499517906,0.7279724491770971,0.5738106722080673,0.4532851339012726,0.4190084829209991,0.5505879773873208,0.5210226869494035,0.4738420139338516,0.48180564790148134,0.7606533299976601,0.5155119468606597,0.5951482266310193,0.46054222301424813,0.56322105730174,0.6110338914433545,0.5902800151796701,0.8240226631051268,0.7626706514735874,0.794182245589864,0.8647937315991682,0.6870467049802401,0.5399457790619671,0.4285557206965724,0.40901893883691426,0.37296488279464685,0.4093716945448482,0.4339836637587155,0.5221155055943042,0.6710496873192724,0.44312589602302704,0.4440131033050057,0.4020455511923504,0.44107686642226174,0.3624712029795283,0.3802770349640714,0.45204725858525874,0.5629661762824344,0.6087698066950684,0.64211259731224,0.610227243910306,0.6782510618149472,0.6959855933277865,0.6907713928415082,0.6415489513523218,0.6522606144386737,0.691828528529096,0.8764189753792159,0.600963754155357,0.5451592471659209,0.49619291003691485,0.711277458895057,0.7765517148829669,0.5829971055363474,0.4473248026011086,0.4341896996777201,0.4112895440078382,0.38519354484697255,0.4112841028165836,0.4053426450273842,0.4399973514297006,0.5683336960416224,0.5989503152455171,0.9457849777455689,1.446994256868151,1.07029423589542,0.6324716531074167,0.4712729848328303,0.5092982472953822,0.4330145742206787,0.5418083100927977,0.47943410128550423,0.37841688224661213,0.4760292810555309,0.45114539837323087,0.5829420158273837,0.6399351949468383,0.7280897316988016,0.9229302968339457,0.9726078365681932,0.857218241517523,0.7006250381829164,0.5956857436604219,0.5779340630826811,0.5066887153221756,0.4541148560934788,0.5098077883063115,0.4561373079204079,0.6548237451242167,0.5072100715100273,0.5464411659460237,0.5878774131970211,0.5528904128531318,0.6098284260369699,0.6636288826751251,0.6285733419217736,0.6315415808046464,0.6865948718447101,0.890126910588945,1.8219191660377758,1.031845172981826,1.113258297771331,0.9207600327304567,0.9798353570765512,0.9792437568481221,0.8393544988556707,0.820809993189034,0.7888864163376461,0.775573398542171,0.7996801135292753,0.7575388715255712,0.7912683316947167,0.7404568354216889,0.7107260112627073,0.8077304825527902,0.8353642131407725,0.7998946267272473,0.821516346633851,0.913800906319734,0.9652590627241301,0.8772325597237104,0.9441548093582796,1.0791562897927287,1.0561963391363152,1.0351735667693882,1.1809365666935463,1.079160235011009,1.3741468543922046,1.1836155452068753,1.1043008364102676,1.2008315396649127,1.2499817338840775,1.6540092207643515,1.3864122449331981,1.5993267922283154,1.1229692306107206,1.0990663549054902,1.1153742657838175,1.0892491743013797,1.205627698381384,0.9875525159956823,1.085927081358642,1.0465032151895715,1.1667436995102047,1.024059191204339,1.121345608473942,1.4142316642989767,1.255412800102233,1.3532206405322915,0.9646727785350248,0.805233370417358,0.823309068303937,0.87920416225659,0.9057085211279842,1.1604610282986332,1.0030840217942885,0.9662327749595416,1.0037600364222714,1.0869759940639023,0.9727924500753424,0.9897199323046717,1.1602518014578138,1.225521317942856,1.0506533044306843,1.1980483470936412,1.3949938363908496,1.4780443334247935,1.2562698337393832,1.3196177471424633,1.1995883866348664,1.1641589106834114,1.0353489148741617,1.0544930370784527,1.1454903773348937,1.0196885838951326,1.0008432772292193,1.0896360546292154,1.0980028209142523,0.9890403439006168,1.1101357799570664,1.2778839717277353,1.161324913278736,1.2148871544608888,1.2712879780331232,1.5804559455730818,1.3570437715100705,1.3046997095218351,1.5075857175949738,1.5485774466772584,1.6067204732868867,1.2923229926082045,1.0590101436329038,0.8637540227985006,1.1934194926477355,1.3137763131279325,1.4415645207077405,1.4563412332269925,1.0646356032404,0.832849703340876,0.7559007953086704,0.6981557113999158,0.6984749355565957,0.7671284153237776,0.8012865253730738,0.9573448358881413,0.7862118459928924,0.7448121103483117,0.7919703209137816,0.9831315320610655,0.6364878857941703,0.8274225700962964,0.7717458223425727,1.2228800010455292,1.7897326717783706,2.7009029544624856],[0.5670437980378648,0.620837586690251,0.6547278287108769,0.5493213264953424,0.6339481002130786,0.6385867271727181,0.569367395956521,0.6036745279430918,0.525870320296625,0.4960857214227468,0.4950768315981932,0.5583916572033963,0.492866509577928,0.4799290024412253,0.5065084763709904,0.4827621286013734,0.4960228311610092,0.49869208446188545,0.5687149037187561,0.5270253572933297,0.5610984583421942,0.5901974656993979,0.6915041900568462,0.8806418777407252,0.8005906817597421,0.6484476394537123,0.5457392772640646,0.5183949964998175,0.49502485530056317,0.5144069632403446,0.5263352073804786,0.5513711104125577,0.5908891109088208,0.5723000679340929,0.5356291566057996,0.5195433635772713,0.538826082240354,0.5134071081189087,0.5126256764145676,0.5230469316372842,0.8636032935136316,0.5984761806651663,0.6026346419452951,0.8090141258634395,1.1840281174084881,1.859168839294202,1.7541245945716442,1.1736916605230816,2.306727161405695,2.749555879757394,1.4479280931479654,1.7631366903470669,0.9181128781982658,0.949520668935328,1.462140943447664,0.7203957798646649,0.7924441810773306,0.6565009243511819,0.6925420999058984,1.1356932879638186,0.726358204854121,0.73817201666093,0.7170933243879151,0.8839681122879435,0.6610654115144067,0.6237933242662781,0.6884608692458549,0.5899093920812905,0.7822270110437832,0.732683616410305,0.8791967971381536,1.0901605384866468,0.8556962927772129,0.9495472445473913,0.6259471662099279,1.090981395507694,0.5607558689226929,0.5667178551360492,0.5493066920928957,0.5352467450571158,0.5762715271449208,0.5516792357025326,1.006841621445316,0.6471613784431237,0.6191000782236092,0.5222344654063529,0.5017880894497477,0.6250720928259382,0.5315669014982685,0.6116952255350934,0.551447097048286,0.7680917050087687,0.6420144879539806,0.5434687214196415,0.5241628497410963,0.6344839596546968,0.5956222353276309,0.5884183570642112,0.5959110601000176,0.8264356170664692,0.613035697567851,0.6861903983030335,0.5913058124948823,0.6690815419949117,0.7212564989363529,0.6927648989197055,0.9000890056097842,0.8363549073411725,0.8647157371888653,0.9240029180957896,0.7743265472798143,0.6671342368703305,0.5686888604131298,0.5574420950488372,0.524811273845127,0.542211399847741,0.5647539239928466,0.6191777702886443,0.7214156919824593,0.5573822024336572,0.5597204861935945,0.5320580223570616,0.5601104015099031,0.5095321082725273,0.5335365052903244,0.5793322250680879,0.6552025336398437,0.7245434578523403,0.7423921101277646,0.7107635791345699,0.7620585561547182,0.7699485459053698,0.7853115650526897,0.7452829162394692,0.763724658963899,0.8086400657558136,0.9514854391583515,0.7301882059490604,0.6796836750144948,0.6235242910916021,0.7975663954508969,0.8495427185071716,0.6612758799640042,0.5652661230339028,0.5437507531887256,0.5167825094342666,0.5159598896128487,0.5528322482945481,0.5579102806465985,0.5633861603716905,0.6762007136553598,0.6731240794007877,0.9954120497453632,1.4795095982547428,1.0997456589394958,0.7148443042897129,0.5829241172167176,0.6195850676823136,0.5713978791482484,0.6592057724279404,0.6152449274951542,0.5259468973502772,0.6064257620704857,0.5810860945057841,0.7149629924502408,0.7570245291261117,0.8320722758074325,1.0006783773991694,1.058806275396993,0.9656897763413574,0.8092205004728854,0.7317449903551304,0.717327462393574,0.6394177925357174,0.6043458665579621,0.6318476860061251,0.5863327746277569,0.7645275334870432,0.653091245780414,0.6839247887688715,0.6748605655495753,0.6723482724853828,0.7227483811702534,0.7569439641213073,0.7261965061050513,0.6967891438825518,0.7318764069308167,0.9284566098659043,1.8411356527019291,1.1158789839223842,1.161135924975368,0.9759172997096144,1.0530451090212205,1.0447670941815344,0.9046836393884741,0.8594126007787866,0.8339553007697845,0.8198770591764808,0.8355213178002997,0.7977743106536733,0.8189848538804178,0.7873133914729388,0.7546716993984001,0.8362749335305085,0.8454672231313681,0.8317031919458477,0.8638247599719446,0.9139869544997178,0.9649455074218043,0.8868290791649227,0.9359195035463147,1.0465156780874327,1.0404841413583357,0.9987893401367991,1.141527985573835,1.0649097670857397,1.315007026351957,1.1467875951331274,1.0703781144957756,1.1585281421199471,1.2006250879489277,1.6624836867832515,1.3240119517958444,1.6016317040369479,1.117078197861886,1.1106900195985145,1.1299377003577462,1.0932078314824811,1.190449070344877,0.9772874103604464,1.0870985189090325,1.0096022403947438,1.1369448773447979,1.020127161126615,1.116579689823853,1.348522282620467,1.2410979871698513,1.3478678467743137,0.9763942523448167,0.8535091727419891,0.8518875185624553,0.9076016900687244,0.9506074317631117,1.194033341456663,1.0478086422656543,1.018112435286693,1.0314532551065714,1.120834135062037,1.0235539269625722,1.0141905724355615,1.1675401386657018,1.232149454222658,1.0538341682288501,1.1859527904808609,1.3730493315274674,1.452393737574084,1.2259954558559412,1.2732697732211402,1.1714613406428445,1.1453105696935455,1.0412322401283323,1.0539528608271724,1.126006674462988,1.0178605698116245,0.9998065970535261,1.072621701729666,1.080813285809989,0.9771371477621847,1.0752293528037893,1.240178496862754,1.1327656545496807,1.1721824439635848,1.2057224532966597,1.5389622575669275,1.317664237472596,1.2777970077750367,1.4409008900677835,1.5146074041855222,1.5821606174231593,1.295163313041434,1.0692923529421072,0.8917919206062177,1.2529454398785322,1.3374251679240405,1.4297594184711657,1.4477444075590948,1.0810641569163764,0.8749230124983731,0.8068433551305586,0.7641738712378792,0.7387289423423349,0.8230233137233512,0.8423872026779037,1.0146515686964654,0.8454909638290605,0.7923414757229819,0.8335475245316538,1.0327388847050363,0.70295958413561,0.8430145174285106,0.7588738816789808,1.200297930611288,1.8304365516795813,2.7401508621514674],[0.8096047424520019,0.7715041843298949,0.7621742687269565,0.5704002314164182,0.6428206677081323,0.6841502785793645,0.5153851912290487,0.6264131436794692,0.4539415335230299,0.3732597142389752,0.38005118952710243,0.5204122889526339,0.38828666759435715,0.37571651645484994,0.450991482437469,0.40457206080520647,0.4137669024263329,0.4594824846184886,0.5793266077455259,0.491704079401909,0.5634019965158342,0.581304561701498,0.7060293522809293,0.8992227156465598,0.7090970342485133,0.6296830734175624,0.5294743453741156,0.44561103603720725,0.43250148209964046,0.43045826843397794,0.4794462713648124,0.461198841724447,0.5664546576432399,0.49894642181151905,0.4382824015331423,0.4295691920896975,0.4464406707823325,0.4320918046539386,0.43159154183881815,0.45421566228692556,0.9063082132227357,0.6500054397512788,0.6536372732725046,0.8345336024217312,1.192327286457523,1.8514628163326923,1.6906097475678834,1.201532767142329,2.3938734564545423,2.696246746589145,1.3961553262550297,1.7437130016483111,0.8630841287508624,0.8433135432841644,1.457934316895803,0.6959261562878224,0.8068042100913537,0.6891381331337437,0.7517722077776715,1.1583193670220568,0.7397557278118532,0.7236698188652592,0.6511902108804828,0.9203228891867634,0.6880617109355847,0.5678597282644207,0.7463569682627226,0.5771797575975778,0.8459355428665944,0.7359555315381889,0.9217933906364829,1.1543526902519734,0.9189461881335422,1.0028893921472437,0.6403727456473728,1.1932542936023522,0.50832467030015,0.5155847283961057,0.44988194166654344,0.4895473912980228,0.46727749363006654,0.4810945403784184,1.0020678113648365,0.593921342494234,0.5338908885663194,0.44134271047951273,0.42981093313244423,0.565527066297948,0.45789518831853315,0.5580334585654555,0.4916693951442674,0.7916253798489443,0.6064539123994364,0.5329201487167453,0.48849747027519225,0.607281607683593,0.5589414333039756,0.5189187903017868,0.533784958585298,0.8320120395671756,0.5745296980917076,0.6870449221378454,0.5691340432438838,0.6701358631315788,0.6995257733934576,0.7006656968262085,0.9463070512218167,0.862576085146137,0.9203875268563023,1.0046046666593094,0.8164612947876766,0.6314328334305455,0.5188560323345845,0.5015604388218885,0.43896274337564856,0.45141470884287627,0.47888527766635897,0.5305736548274658,0.6812265403045011,0.5298160401759832,0.5177593620873988,0.4491891331459668,0.47496298532240305,0.3974852574357679,0.4333564579949751,0.5314950681242907,0.6841131749535013,0.6999116506366044,0.7592890057211711,0.7159438847870402,0.7797147538865051,0.8122755330795048,0.7850390697250895,0.7450025108134672,0.7417624979034574,0.7702051456061375,0.9465508771965376,0.6583597690733183,0.5906947585979345,0.5316711846223048,0.68990071823705,0.7258871911473916,0.5786997501497606,0.4874251697262504,0.49306641374582727,0.4611435128088981,0.43617629307932776,0.48000829996801575,0.48118891789560264,0.5180322094900943,0.6869495909295419,0.6955135267439323,1.0630759212037584,1.5716287401944455,1.1089819107886105,0.7360673573177556,0.5512114301547285,0.6170080543713461,0.5064151806444394,0.6267267560860745,0.5378865925678274,0.45036373674174307,0.4918478118135887,0.4610442932762962,0.6350290687904488,0.6545468455162886,0.748269464694116,0.8981256416717764,0.9769643420348829,0.8719983902633223,0.7527942920826072,0.6489529671211656,0.643805745934736,0.5600262154581471,0.5101028828662333,0.5790664330334,0.5243957276190936,0.7516629222396244,0.5561642869274289,0.6310890263873172,0.6196783985351936,0.6360268434773316,0.6912880424066875,0.715226748777695,0.6978219869122252,0.6867056498372278,0.7415272060922155,0.8164166335685333,1.8623563041737987,1.0331086279027424,1.112731245504507,0.9240780816387593,1.0005172936234097,0.9939150974018366,0.8870613275629365,0.8636941132471723,0.8500736939777986,0.8657944774613033,0.9192194646315771,0.8980605769450569,0.9632114872001514,0.9433700334282059,0.865774074760364,0.9732437864972159,1.029015185445961,0.9923847177793921,1.0003099758408478,1.097453078232733,1.1857662254545902,1.0600934079558229,1.1236412960173292,1.2632334702489592,1.2218864606437077,1.1590694639140782,1.3251873918894568,1.2628065814666007,1.502504215364902,1.3220679441701073,1.266908099933735,1.3820969843284818,1.4102918447067383,1.9423508052351932,1.47742643587779,1.7247863395693694,1.342397427270848,1.3480678963357229,1.3440432893106187,1.3088991437595494,1.3884432910116002,1.1449358494816315,1.2510920227192672,1.1470078612442296,1.2614193559677649,1.138180412170872,1.1997620201212416,1.3986590948147455,1.3416950757779345,1.356772788747378,1.079344884869423,0.9627490857482032,0.9977191592260398,1.0856223885518954,1.141500656800032,1.4112721787052014,1.2435539064063499,1.212508246411676,1.275061255030745,1.378377604280184,1.248012334470962,1.2401106475823214,1.4248629966640705,1.4657813027722109,1.2720634076675794,1.4506590173133336,1.6404797607886954,1.634805324916954,1.4559201084928608,1.5198494240426939,1.4252216956938577,1.4132860826828548,1.3002605746654992,1.325776269877686,1.3959296872288656,1.2505452466418892,1.2211864123387002,1.302686576308279,1.2935408991608839,1.1463519316694568,1.2496849535106347,1.3927786998881069,1.2813287773211512,1.280776757292312,1.3188546082329056,1.618869060052501,1.4119531963442764,1.3750859519819607,1.5301116914294437,1.6011984369523435,1.7187843151093494,1.427627032839531,1.2194378630086191,1.051186429837141,1.3834033853858652,1.4242855337337812,1.4912296022935143,1.4937686395306449,1.171430924850052,0.9447327565829523,0.8814901818029339,0.7883974459650861,0.7773713784353459,0.9300364746862492,1.0369696730555575,1.1549560519345938,0.9408972541893861,0.9798881971265451,1.0448933896334918,1.1319077367279036,0.8487831799591594,1.0183922978278523,0.9202784279510718,1.234776939915741,2.189448045993867,3.1567384311657953],[0.6715007534460431,0.5963720686885566,0.6293241388756468,0.42722029889919516,0.5089093745235095,0.5560239547093524,0.3875474755678599,0.5227649317342521,0.36515599919166963,0.3235468800302157,0.3937714061415345,0.5025682461529168,0.37154369476479476,0.37951334661494907,0.4827819030674531,0.42549242455868286,0.4272628678244808,0.46935582257503183,0.5723027790578428,0.49336336367797445,0.5396787966570524,0.5453554682484608,0.6495600676663973,0.8053248638224598,0.5983441448515135,0.5563890170186986,0.4770400657886628,0.3881188560395128,0.4296308081419852,0.4267574540685482,0.5082757175825965,0.47369795856311797,0.5896355451575405,0.5408552259690125,0.46708421230246777,0.4375786012877064,0.4432396233996829,0.4129137434329596,0.4059316757364805,0.3944792005238569,0.8151748789205393,0.6094076366187915,0.5987175396206814,0.7472393584233081,1.1218925626981473,1.7855990492592753,1.5811700772626334,1.1418723263946913,2.3412586643977757,2.5446354738032313,1.2933710287762994,1.6137706081780046,0.8446087238134817,0.775921671244001,1.47117460750496,0.6709127855854752,0.8119577361477256,0.6516745985333178,0.750163721877601,1.1074444269882382,0.7053107780592892,0.7143566148735587,0.6710295052585936,0.8766048239388389,0.6435859035178496,0.5517682151054105,0.7898792940868377,0.622374635359128,0.8814720133882797,0.7592378710885024,0.9620465199444885,1.2021067526704958,0.9581150831049219,1.0191800622868623,0.6641520467455464,1.1705128542162875,0.5345789680098288,0.5604574825033217,0.483680757277199,0.49562911226890927,0.4969370247820335,0.49898293883483186,0.972189133248225,0.5469316305833778,0.46748604184286396,0.40943240905575684,0.407914087876459,0.5712931977638168,0.45978170075475405,0.5996764563010463,0.5406943711136748,0.7895624188262373,0.6435260914170629,0.5671766942399349,0.5222976834391585,0.6417555577242625,0.6033427583838128,0.5313689373315326,0.5320833810484267,0.8101982263849128,0.5630240170373224,0.6303889833526524,0.5126444151688306,0.5896675013647408,0.5812796826942415,0.5908977914655281,0.8663869048634169,0.6768632827151724,0.7444929405684266,0.8799350703020614,0.6595689994765089,0.4841775681242652,0.39232230251066225,0.39241200113751795,0.3983155389389247,0.3817271868261581,0.40937612950962604,0.46432416709498997,0.631932644710461,0.504704068615119,0.49038242914167085,0.4118651610937186,0.3981694756395821,0.3238319769904669,0.34587544745472587,0.42144971151308935,0.5448926365534252,0.5306118251502567,0.5795471681392842,0.5570941707782615,0.5931384191832104,0.6425788743146148,0.601742092124257,0.6080574337674653,0.5745738264790254,0.608894876916951,0.7972641050704418,0.5012919163360119,0.4640223508210193,0.4233809631774307,0.5998836447499019,0.6325968599585857,0.5233995116349912,0.4058708252798609,0.42646195187688224,0.4312163609635824,0.36744299892626164,0.40837644315769855,0.38315789094959785,0.42997008921674074,0.5851672795689336,0.6178668731550829,1.026598089640373,1.541265776827584,1.0606192022460474,0.6920190853620178,0.506943182441517,0.5575196356844145,0.44956089926420933,0.5382905422474816,0.42396786745594145,0.382144733727393,0.393120881490475,0.35754502196135424,0.5084396943672947,0.49902201894933607,0.5696001473504254,0.7201327292964586,0.7979892375524315,0.7063670101614049,0.5758793093745092,0.4986918240453029,0.5053381156684422,0.44530472830815243,0.4086969556158795,0.4970900653171256,0.45674423527813846,0.7207272946370361,0.4708337328587687,0.5379573757884578,0.5260577703720383,0.5004757530006548,0.5358194710489759,0.5435356468219732,0.5279677944634614,0.5836480471351128,0.6625154953869647,0.7174759043324501,1.7322152378018678,0.8865047920322914,1.0585470458761033,0.7469887205114943,0.8298376982856611,0.8205185375374584,0.6979956093118656,0.6657162375838593,0.6673108448006647,0.6636863580856979,0.7134079052821405,0.7264103812653124,0.7494065062208152,0.7493826330238901,0.6729598705473936,0.7613082495423188,0.8122278617188688,0.785962337491445,0.8178792869438692,0.8742724173070147,0.9706284791314614,0.8478800399904385,0.9139328714274102,1.0159137772198343,0.9801031193964692,0.9564519904785577,1.0960410565401824,1.0690541271583105,1.242816055673727,1.1234743809360987,1.0403293276493344,1.14170849891258,1.1859551409853617,1.9165541931705359,1.298141643833262,1.6500575840388398,1.1179998473462802,1.1560646696628345,1.1647359192904083,1.131647025017657,1.1643447314146342,0.9137613823206955,1.0817420986642405,0.9096117067598042,1.04852434218499,0.9185024034005271,1.0051002351686764,1.144724695946437,1.1312038791077692,1.195056768746128,0.8659695708047248,0.7760676498949501,0.8026618853123605,0.9129710365482211,0.9957345865751936,1.2911496231053354,1.1021751071314831,1.0577435056413387,1.1148476050767826,1.2474975044791696,1.1069648633342075,1.0567677370421222,1.2508520324641295,1.300550053538761,1.075366178466196,1.2449964610653559,1.4525502611047605,1.417695067486284,1.217904944608708,1.2809294087369394,1.187761523469863,1.1890547173087405,1.0986370254667532,1.10969404022048,1.1665057365916414,1.0214126882121002,0.991590666789676,1.0570031824257993,1.052047044220239,0.9109881674279794,1.0010189577329245,1.1617713235649119,1.0690317010101027,1.0553788485553846,1.0720052787944914,1.4109299039575995,1.2186750706645424,1.2076405394665872,1.3467910704970274,1.4459388383500005,1.5665282051486416,1.286728458431222,1.0530098161931936,0.8997746203698546,1.2912924551479277,1.2880714064867107,1.3369431856043072,1.3405146774431165,0.9882489339842863,0.7713077815633902,0.6984192271886823,0.6195070496961897,0.591511726077491,0.7439391145331629,0.8642748139473895,1.0752662302388987,0.7486078164692769,0.787101933331908,0.8779361455815299,0.9668632389028184,0.6793903080307792,0.7909410664613964,0.7973242411736098,1.2231774405825677,2.338466899635919,3.2735174949811308],[0.8767145574545219,0.838674588275443,0.925852716433413,0.7882346339474974,0.7955049310848121,0.7297027199623389,0.6258626520951234,0.6751338092247424,0.5869009447548551,0.5820925184616424,0.6032565270414635,0.6689474630032441,0.6058770340354244,0.6235677470412261,0.6802134568761805,0.643832789652327,0.6625912747940126,0.6886793345146659,0.8055710247773543,0.7293476843733963,0.7645491440012038,0.7821649710898281,0.8619448192844039,0.9908694210687768,0.7633336100218364,0.7759197213727136,0.763455524948679,0.6731614307083587,0.6681649712174588,0.6146780284604474,0.6675372374103319,0.6375963901181882,0.7199271068081513,0.6922228267001824,0.6451828600201007,0.6216846077548273,0.6105316755985594,0.6652400705976383,0.676894431544687,0.6650215915544333,1.0143606643498493,0.8491381959106998,0.8548637024583013,0.970601859042301,1.3496825683787264,1.995485723803696,1.8155780279271292,1.3529409453785894,2.456004101776227,2.7334109035481946,1.4344394201873214,1.7075519625819744,0.974460930577523,0.8595119704607279,1.569421947877365,0.9091590657895633,0.9826119914344698,0.8796989750634227,0.9396482085035434,1.2649995116056576,0.8731750044595422,0.8245107517736968,0.783827672808455,0.9893209808014672,0.8490212942119529,0.7161390344172963,0.9572406513158316,0.8138167725974257,1.032864066321326,0.9327175116408949,1.0923982831146934,1.2678155438987793,1.0919722391321511,1.1401047794420536,0.8117903584026337,1.2701897466889853,0.7163951883531995,0.7091942446721238,0.6458695498871558,0.677848332692448,0.7060806543284485,0.7273064419988385,1.031464814469604,0.6576234022275735,0.6880552865003399,0.658042545267383,0.6652269162326216,0.7021980839287263,0.6395342293341514,0.7587451960698296,0.7015353575810024,0.8990108871268402,0.7675659032150923,0.7043471710349598,0.6726363892143071,0.7669233643423989,0.7393716442341556,0.6757712458962347,0.6700552978396825,0.8920879778117821,0.705045751692541,0.7684609102365505,0.6739000747742125,0.7478951292240282,0.7335019515111304,0.7532831764780585,1.0477656959474424,0.8164107929392547,0.8474079790651656,0.9591696581377108,0.7769202842611037,0.6762471160331956,0.6356771070187485,0.6746131316170868,0.653405984909951,0.7141422345953582,0.713522115331023,0.7773426457821201,0.8928982758111595,0.7120189732622287,0.7268699863359257,0.6800112071942663,0.7220856497884511,0.6606451388453766,0.6637935746318303,0.758920339091323,0.7947638237924448,0.7324137909049279,0.7598071334614617,0.7349521186784457,0.8166000249488115,0.8663644624226473,0.8081889956940036,0.8023974011832616,0.7614356339515,0.735649631012856,1.003425240239187,0.7781176869866795,0.8070566442790953,0.7753579262469111,0.9235031613822521,0.9567229934182717,0.8321475154481616,0.7638668215738489,0.7760136181306192,0.694033218344118,0.6727851568611682,0.6301925553103845,0.611437699624995,0.6427164765634933,0.7399766971401951,0.7364091665268884,1.126499941318527,1.5366894425309583,1.0752909768436092,0.8108777549807378,0.6712903519040341,0.7195104845069222,0.6220703636086046,0.7343042912961026,0.6487343082609299,0.6440096703639194,0.6885654801327071,0.658312838869276,0.7486888684544234,0.809850329322817,0.8522792080357569,0.9684699461634351,0.9859302895003023,0.9713330878951799,0.8521842900490879,0.7618679739455929,0.7258043140318319,0.7188937191975066,0.6600404793881375,0.6764217240484065,0.6594312236319237,0.8063294264109576,0.6578235503565786,0.6627757768813528,0.8323392887620742,0.7054713170376052,0.7533025090507987,0.7838361996509758,0.818784598489983,0.8931393479710574,0.9364039091494636,1.0835465512293745,1.8573970774480977,1.003816286861127,1.3266269257187162,0.9197503062303943,0.9203135305682236,0.9127307234032715,0.8737044330815861,0.9145594009955388,0.9107209660217697,0.9247834255509737,0.9479539690473581,0.9277390959317796,0.9291882164218539,0.9129537809616367,0.8669764717410255,0.9409685983201883,0.952080335868864,0.9163389307586512,0.9928775041049409,1.0059830192359422,1.0354392373995025,0.9403889891188967,1.0299605625831696,1.0895116582464113,1.0511649481867245,1.0347473763219737,1.183795333998131,1.1962295621460306,1.295177225708824,1.3179294701676625,1.1959844476709178,1.2361997628449675,1.3157563375915717,1.8039289087920616,1.5322961100679502,1.7545792921772887,1.1982723391118124,1.2087643011191125,1.2190825872562554,1.1966215335080843,1.2655393357216576,1.0528079981714566,1.1949125236720006,1.0811988387315927,1.2481655526784572,1.1219233252504566,1.1666093295141817,1.3701290513467164,1.3200516985251916,1.3969656773023251,1.0879492191352833,0.9928976657932139,0.9656796631100422,1.016493158832793,1.08333947675508,1.3424472830728846,1.1600748143508426,1.1185804966109414,1.181807535949194,1.3306414136417342,1.1655103715447388,1.1358660722938352,1.3407256998510506,1.3898848582134444,1.1374054215389955,1.3349127209571792,1.5431759147409059,1.4964208462492934,1.2846178836209459,1.3648617285646925,1.2581931785323028,1.2704954569339237,1.1634645450693861,1.1713311160087088,1.2205978527600678,1.1016440119163762,1.1039932143149835,1.1569529195884072,1.1632660091692888,1.064585849876491,1.1713823696625574,1.3246348859014656,1.2539374112319193,1.2660443975120383,1.2838158408565683,1.648426779380219,1.489766718189885,1.49749260053599,1.677587732992025,1.7568074505312263,1.824683839387395,1.5737719691392178,1.271523985307053,1.1269015819730883,1.6132225247052914,1.611355938144527,1.6969545228026324,1.6578147350836454,1.2525736471865185,1.0132283165498888,0.9087865277941478,0.828108227165215,0.8809907474911203,0.8470134680852252,0.9182910237198841,1.0512413522978885,0.8261531502857629,0.839812090840302,0.9382298111496101,1.0208584400067842,0.7979166663561904,0.8828797559921523,0.9711858061369143,1.4135466027239492,2.6298630088137656,3.7890475401757944],[1.3129382832964782,1.31301014175406,1.4486334696950005,1.2218586580791762,1.296071203452108,1.2580114922768897,1.1908876462475575,1.2435473873640448,1.1490877374104764,1.0989534657406979,1.1248391269897104,1.1725864018016736,1.1506649023378426,1.0905107772920737,1.1490273325491072,1.153603426410435,1.1521586869461178,1.1276941015542468,1.1583116802938744,1.1486714249977832,1.1461857808697156,1.1677402922232831,1.1646751514793985,1.196968929505537,1.138589374380946,1.1299962346386245,1.1598865141166992,1.1108496581744882,1.152729663915734,1.1508750473451343,1.13973183075503,1.1754605729731775,1.2241153189410519,1.192872729276698,1.1759422788943161,1.135694557879703,1.173662272276,1.158605127057334,1.1815159179947603,1.193480881270414,1.3197945891401162,1.2286285957045244,1.228147244954286,1.282588662929989,1.610738605055365,2.2746657460462023,2.050534865807812,1.6549735736970619,2.6414983439863446,2.894268055209956,1.766908233959588,2.0202657986773698,1.4118488684464645,1.3635836441434466,1.9473998158346728,1.318462696901478,1.3571991878101775,1.2937522165950779,1.3257258304536628,1.5188133258763241,1.2571191095571785,1.2362987469788496,1.2529280674272516,1.3577588370411033,1.1839685706980732,1.1581261190604366,1.3040574000854126,1.2221066354254728,1.352143912681707,1.3006467795196808,1.3875811421406767,1.5445648246257193,1.3705286464825224,1.419401931772361,1.2207966460420459,1.4969030134059826,1.1647701990734767,1.1765020564995141,1.1639100953808288,1.1967980472261543,1.2134060123698012,1.2303013548516741,1.472358798848143,1.2862178483193212,1.2202993946509209,1.200024041883,1.1902098558144745,1.2684618787736992,1.1474987755847106,1.2437037042336547,1.1845126701356523,1.2560574496885177,1.1877237059276937,1.170411323227396,1.1540900294881242,1.1935327151439712,1.1836512869004276,1.1638539565233559,1.1729946788993943,1.274270940385735,1.2417188478374168,1.3223402981508938,1.275326939860703,1.317855754241196,1.3105803752877485,1.3115493384499282,1.5565157643132868,1.3715259160212676,1.3900990787756868,1.5415788544814417,1.3569195156553926,1.2540188055850532,1.2091923423521824,1.1827123229131355,1.1512918665497534,1.1135525906181967,1.0929556941041982,1.0826956186000236,1.1647593468236415,1.1458128806398824,1.085647402813611,1.0892652292290397,1.0550807255676204,1.0972032098619906,1.1430218946713024,1.192449903503685,1.3289528408532676,1.249946774830077,1.3096542316623114,1.3130806216955015,1.339268534476453,1.403041090288878,1.349788116609284,1.3600895055522146,1.281937058272877,1.2712434913015866,1.359836049275158,1.1884103816301912,1.116818677289634,1.1103640214022739,1.1051166175244096,1.112621635977714,1.0919224737182098,1.0994027847847514,1.1701726477131111,1.1881186986336494,1.1572174249670522,1.1941629547295356,1.1885174830752958,1.2046021077008395,1.3035740208284474,1.2978702440109984,1.549160629861922,1.72345402127374,1.4088190792669215,1.3279451625012166,1.2228059612825168,1.292124005033464,1.217746281276734,1.289539493757551,1.2290248744810233,1.2017958252742738,1.152325925064648,1.1582323632375546,1.2250518970997986,1.1549447190549524,1.258991036230524,1.2890434770215644,1.3280322153115414,1.2790844258158984,1.259907579120877,1.1923202253989724,1.248429777855417,1.2503177911768109,1.232113117980101,1.279171620080588,1.2389723221247817,1.3425280799111337,1.24509985772245,1.2930267630025971,1.2809592887469003,1.2794950714971978,1.3054804136602578,1.304918028225857,1.2837157287502798,1.313082723498118,1.3156568572469136,1.4105171488940909,1.876703932109139,1.3266418627412875,1.652562985411487,1.240484196464674,1.3829198389229969,1.3943834896265,1.3608046892744086,1.4027756603303583,1.3902017906016217,1.4221561444965196,1.4337573574780942,1.432131578902189,1.4272357065467944,1.4247610660735865,1.3814202363346593,1.4248482706473402,1.4473058606100142,1.4152380083721638,1.4304680351400416,1.4635849036133728,1.489362389372944,1.4259197614427856,1.46838004569626,1.5099061251636001,1.4711619495728856,1.4750203070363237,1.5678398908204834,1.564434379699247,1.633056423770859,1.5424425462394904,1.5483547601530807,1.6164928611089286,1.6622088903170966,2.104533117915281,1.8158846050407205,2.1073504152714095,1.6322441971263235,1.6456659733287544,1.70892687035863,1.666117487207972,1.6390789190294082,1.5050376143206006,1.6446017980033052,1.4988924505990053,1.5946964128351642,1.539930015238849,1.5779290324051762,1.637068444733158,1.5924832143957575,1.6148900620407391,1.4711323334946127,1.4480205421039354,1.4822107703632696,1.5281231442987488,1.5561567042945372,1.7267097182159457,1.6248149849401705,1.628747927058669,1.6360133415175881,1.7426622956894489,1.618735978229953,1.590144005378537,1.7288587366995667,1.7542454489615953,1.5692042491398643,1.6956404656621857,1.858639723650777,1.803800382000081,1.6320629325232132,1.6852248406179064,1.6323550600338712,1.6490570706506142,1.589654707897328,1.6131670951882389,1.6251068932268151,1.537596087384242,1.5398318686271648,1.5804123445357512,1.5597434686132245,1.4829730526474916,1.5473513265812326,1.5883282611003329,1.546427454184808,1.54011315832574,1.5439112212834858,1.7526704246522093,1.6339107656250438,1.63067484507834,1.8089477795994942,1.8477718362220503,1.9346276821694108,1.7625852485187823,1.5599175842298874,1.5058310695742003,1.7946415252131032,1.7697824599798404,1.7829992818685012,1.7764291748758625,1.520810442594013,1.4485130579547,1.4273810276095675,1.3689546882642694,1.3561715112736605,1.3881213226219196,1.444468048951591,1.5199142407191615,1.3677876437101795,1.3816357730070732,1.443168192051671,1.47596548422043,1.3423510247582793,1.4117525052370266,1.4298155428962327,1.7673159134458696,2.9725673709435174,4.201948291392403],[1.366923523713066,1.3556289426955461,1.4896084331050976,1.2933109795653421,1.3651591721074556,1.2425029491010628,1.143262494533532,1.1641510425293142,1.0238713697074266,0.9898295959452196,0.9466610856433378,1.0315875817349682,1.0203185541208533,0.9304749978772249,0.9491935309061232,0.9890694273490336,1.0219205922934809,0.9845303741218119,1.0159571178069469,1.0377073848388103,1.0099394132427375,1.0467528750246538,1.0896845186988084,1.124007324511535,1.0828624809372864,1.0429166151788984,1.0938328907264372,1.0325289177803438,1.0560147593305185,1.027984913267816,0.9556319239988736,1.0165533241169604,1.0312433163030625,1.0045856802761974,1.0286039093174153,0.9913819396553922,1.0552681052265336,1.0971585948480282,1.139951492789573,1.1906815003909503,1.3052831954858113,1.1783940290122648,1.206025042981892,1.2236078670029,1.7217511880225052,2.4257770368041216,2.245976910569686,1.699207954145579,2.684839753084229,3.0229860501707657,1.7699338984847162,2.086532031793611,1.4209754362673408,1.3172623411667645,1.8891829666290785,1.260142137874225,1.2996739902024503,1.2391996815889432,1.2595143867204792,1.4393212729307685,1.1600036657515669,1.0619451920707197,1.081273442309911,1.1327797935855066,1.0470707273031343,1.0168423358865522,1.1350038999304835,1.063471625640301,1.1694013158147196,1.1055060204576843,1.1841982759239253,1.29305932944713,1.1330843864568838,1.1701522466355176,0.982410458393883,1.280669551820079,1.0117857478472019,0.9986730760357927,1.0138204525473844,1.054304096159983,1.1160885291248481,1.1589253768497532,1.2274835399540502,1.20554602312931,1.2134648978855869,1.1527936232796419,1.1089239639258057,1.125924585583779,1.0033247666756888,1.0632244522167515,0.9989571834336681,1.0216369288494975,0.9671775764224347,0.9413996715757668,0.9425403810184466,0.9475260457840934,0.9506669077370978,0.984039269986159,1.012708032106143,1.1417900773723213,1.089106277293459,1.21318583788325,1.1655751893465587,1.2749327394710452,1.3091878671272952,1.3086237522438628,1.5670698168083597,1.3980406360005528,1.4034969893395686,1.471008480795684,1.3417179689450773,1.2557505562829177,1.1813736379227988,1.1747688457129613,1.1060324430379125,1.0623853845509104,1.0211312435089077,1.05208909226958,1.0895620447770427,0.9688002443829334,0.9682369653782925,0.9600419163855733,0.976710088983562,1.0340396710403987,1.111188070401338,1.2209087950334754,1.4279416930682194,1.2947885481981711,1.3576748668501764,1.3618091418007918,1.4479514841806356,1.5155024809262017,1.44701472609189,1.4220956784580732,1.3543087164684475,1.3131639175035272,1.4308295891015284,1.2641023027442144,1.1786679557718431,1.1570964937115162,1.1546864661790037,1.1455630481366559,1.0790581184466577,1.0990271514244936,1.156782435911679,1.1606310665400286,1.1161000350704882,1.1411385368918843,1.1490746353168506,1.1435442480903868,1.2597929580197738,1.1560963055574276,1.4354238435914404,1.657229947441676,1.327033961038432,1.1811228392374613,1.0931566230445124,1.2015886682822565,1.117919433160077,1.2791053968099593,1.2208825904438438,1.1825420734911498,1.1707758196472142,1.1751940802931475,1.295233445906577,1.2481469115828958,1.3742270500862865,1.3861679502064819,1.4063759263508955,1.3747095087848098,1.3485747575823284,1.247115243646188,1.2965404182662814,1.27655729327289,1.23050338280493,1.2489034529963308,1.1648656301433027,1.2573095363604083,1.2078721989542223,1.2550545087154743,1.3419250794420137,1.3147388857141196,1.376710805924647,1.3817744983054214,1.3685047788168112,1.4287507638749992,1.4298040897311395,1.6071511871104993,2.0379307021433433,1.3418636169043034,1.8485380437433152,1.2854467556647473,1.4473791906827047,1.4554729375550322,1.4660319188828612,1.5637472720872505,1.5476895505448145,1.5441547222051633,1.573459548495551,1.5922338862720375,1.5424342992645466,1.51941366565703,1.4838696496309416,1.5536550675478735,1.548311356578237,1.5044370798147524,1.588119939356834,1.5871765721927218,1.5790883960534616,1.539169812617454,1.5777806790792692,1.5934467112560728,1.5882610798866417,1.5811368146109857,1.6164411858538574,1.656765430059515,1.6983202085712108,1.6971442934195555,1.6568066837851674,1.6886580742891015,1.7412682476421737,1.9841375787901452,1.9779928808823546,2.1979693965819447,1.7291862758098393,1.7347891577642893,1.7502711974153897,1.7094123078910337,1.7456530259468641,1.5901052501902948,1.7533183747780992,1.556633188148672,1.6235633364057784,1.6705886989935697,1.7391204039005543,1.8157662695682788,1.7991833792447773,1.8743976621992378,1.6707915591727112,1.6088817486096743,1.5612935203593497,1.5698952671606363,1.5933090176648614,1.7658703046749809,1.6438669380972175,1.6614871158924343,1.6623301864920568,1.733293570516216,1.6485913763796796,1.6429042466759836,1.7428342088661644,1.7703370089963557,1.6335227416930433,1.7503833113060558,1.883202581143237,1.8587721567070796,1.6954954406858536,1.7054369022348992,1.6769267499704108,1.691550172643005,1.650861124789706,1.6563834255918082,1.666311806014826,1.6185443098229573,1.6226559148298787,1.6474106838797777,1.6439790568339838,1.608813685724565,1.659680362366233,1.7619791880015856,1.7180017224892215,1.7332158217863236,1.7261230245029209,2.0009763094969584,1.8777426253973215,1.873605029764708,2.0252793755868104,2.0799344043947685,2.16428407443727,1.958291257634125,1.734849925238992,1.678938145558019,2.050003518710445,2.0370178244865618,2.078186820773999,2.0783929318768415,1.7735485391377992,1.610984446046439,1.546670828292874,1.4352358201682114,1.4436240412426125,1.3949476759101296,1.4466354346808223,1.3769236512163499,1.3386163510768474,1.3903880766915444,1.4326986902201817,1.414357112202906,1.354869990688502,1.4083391199234236,1.4461088747812139,1.8181013462348674,2.855054730891205,4.037986480062696],[1.5491872710571877,1.4685177823262423,1.4476637971479962,1.4411373104811143,1.4172942812804226,1.532465327772469,1.5236675599873317,1.5633537148714691,1.6176061176789986,1.598943527224946,1.6395465151970139,1.6571219321237636,1.620190814047747,1.6491463332524725,1.7024540891403255,1.673838828570545,1.6280943014331881,1.6356624857062372,1.6567629737765937,1.6030142938709762,1.6077192775094071,1.642787126309243,1.5897563119524567,1.6957391305898086,1.5478713903266532,1.5974319216457296,1.6262008753744561,1.5472291142216918,1.5866879931619657,1.5679159633975488,1.6848288088414638,1.6058347641303161,1.6242925450855517,1.6412957854160595,1.6178388007036744,1.5936672363557514,1.5643930304272882,1.5779573096586479,1.530380424012132,1.533467259378421,1.8275890531335142,1.7119745992501438,1.7461969685328742,1.7867707769812313,1.9802178074502608,2.6414638377236663,2.6028736865403226,2.1934538619671233,3.198749151835073,3.6472043287900364,2.3177654352332704,2.434976734799261,1.6864498488353212,1.4431223397842887,1.9721084225474457,1.7632695709959252,1.8576497387885318,1.757775711626236,1.8085808964156436,2.0713365562312456,1.716165373478121,1.6095291437256263,1.5844962738133974,1.6702988209431164,1.701898854062493,1.5850321919315824,1.729460119963844,1.6894631283337258,1.7922530519881181,1.8428032054677794,1.8267578835869378,1.961484458952468,1.977745640767014,1.9459566124907948,1.7223823009935049,2.0735913580499394,1.6539856735291998,1.6581267766948096,1.5874362393469488,1.616206281882328,1.657700347935353,1.5950738674535396,1.5891590404142641,1.4924708256167265,1.5408252794021302,1.551081966519223,1.597169162034953,1.6022806851700613,1.5689140965988495,1.674119436045051,1.6686752338443633,1.903041888768717,1.7609547556844507,1.7130803226662061,1.6975322704376394,1.715135792812181,1.7261386623301191,1.6402109205165132,1.6137413646677323,1.6035582188884185,1.5963961652968643,1.5823938859575308,1.57404405043769,1.5446719560751752,1.465032425148384,1.4788630769051303,1.5904763868025045,1.41080793518751,1.4019202297296882,1.4788698710609833,1.4054401325743522,1.4428636194842708,1.5115521368077884,1.5154820775313649,1.5408801606133835,1.542008717543693,1.544248002162157,1.4867016479521669,1.6239101803698754,1.6061861413515286,1.5707233610333309,1.5791506047681363,1.497061678555206,1.5036134710106348,1.523004928352405,1.5021403767934562,1.5626766676999713,1.3751426361939145,1.379511039393388,1.3965683606727002,1.3556759784961252,1.404829619503444,1.350481046168661,1.4106351537110289,1.349439950178798,1.3279328989289567,1.3787856689254936,1.317846994072223,1.3513481638202671,1.4173007159116195,1.3274535826784701,1.364100904531018,1.445160097260644,1.48653904774769,1.6106935484407585,1.5508263889103369,1.5038910734872195,1.5308171652356497,1.5041956127588412,1.5522964460534545,1.5642478517429463,1.5613057336182001,1.6358955084171949,1.8108357951496095,1.6854257675417,1.5840902760516564,1.5655545101843047,1.5487907737852202,1.543690166755676,1.5535829282135536,1.4510064707805004,1.5164638578251324,1.394527125610205,1.4362965037332687,1.3922260644515831,1.321333669051878,1.3617745036550186,1.3274696565681,1.3516063210448073,1.3368300205633914,1.342851943394807,1.3171929932620885,1.3985138620377096,1.4444471162456365,1.4765746366094958,1.4780098738129133,1.5311297742077565,1.5122259179033901,1.4801259558202793,1.4650580884868059,1.5681210433822887,1.4149434732155541,1.383351654551419,1.3782505784289805,1.4678550889687814,1.659350426147976,1.77945223915568,1.7741637794137257,2.4438059517120987,1.5600291590525022,1.6890473523060308,1.390060460919261,1.34639157146088,1.3340660806589089,1.3152078043169138,1.365968028755511,1.342280665125579,1.354810687421485,1.3670176280095463,1.4624191021119317,1.3962955107917665,1.4374276499261145,1.4057130255217845,1.382343177531461,1.413097169418627,1.4111158321407957,1.4157743812256387,1.3996536660261285,1.4685464701489883,1.4218474017255012,1.3898480840271314,1.479554769105015,1.5427732260818996,1.3997450872335695,1.4470574625886163,1.4252358236964349,1.6154213086785385,1.4956915299515627,1.4542627875486793,1.55626400414893,1.6286594858560501,1.9103331340998504,1.860606973080819,2.0060069435698407,1.5765141633808502,1.5880660868347343,1.6082120488783624,1.5425777558396587,1.606590546575191,1.4145921463537057,1.5361520362728631,1.4096226479011822,1.467115293587047,1.452661978750523,1.4969408515870588,1.6506543676285352,1.5970703974998979,1.7417580732714213,1.4865554505897174,1.4872878011920685,1.4150869100797214,1.4353914720994256,1.4845205841554627,1.6756021490093433,1.5680470295899223,1.551845877067386,1.5729376030531228,1.6839623734121787,1.6059761090253601,1.565096880943382,1.7033824297255231,1.7657654268714698,1.5933527890670822,1.6887128134881997,1.8429818360709471,1.8791901089781884,1.6473507716022437,1.6655905569370315,1.5806703443105359,1.5894821241036323,1.533844776766585,1.5248646931763132,1.5470360311626312,1.4720972968525279,1.473359181587544,1.4910643330660127,1.472664905324572,1.4214524282223737,1.4910348194298646,1.590797658254333,1.5033440983188329,1.5575066978399352,1.5600784695525258,1.8772246507036108,1.6718530365620765,1.6369739459483716,1.8051349184389622,1.8209994521094623,1.9651319775256715,1.6693100196231976,1.4755599599550917,1.4324897436648407,1.7350786238997291,1.7300781646786445,1.7638450219136705,1.768175448377865,1.539034853128867,1.3977028337340953,1.3732932367227306,1.3606547843372734,1.4395115474184217,1.428495959315617,1.4358922182323657,1.5489827702618335,1.4557152872265455,1.4252325466934692,1.5315977652376027,1.6571519232782168,1.5680106418517308,1.5075691640112268,1.666619798390409,2.061073769464346,2.9283743646623845,4.119881612824786],[1.2008612151108455,1.143470205037463,1.118223616667686,0.8640136041335742,0.9549172200514424,1.1429969944682221,1.1446866477373983,1.276801357918982,1.2946941001909598,1.2125903435297134,1.2931556636556805,1.372950587288254,1.2265501877894882,1.2033929342475898,1.262343118105465,1.238551024148222,1.0990444241661057,1.104952306553805,1.0385433828975632,1.0265792127482163,1.0201231137383708,1.0049514342719768,1.0331424532536309,1.0869244975533043,1.1018522574209453,0.9800929557117067,0.8893130648494076,1.0012073659726404,1.0723472598624453,1.1604653728066354,1.2937656999502103,1.3177203119249192,1.3867799592764396,1.3565757470841773,1.262292577339715,1.1620522816159218,1.2027026157458185,0.9924549129757961,0.9550909018421156,0.8852778578425942,0.9172560173747397,0.843496545346589,0.8169661242459159,0.9534073395574066,1.1013729896494329,1.7174493120241425,1.60685030387624,1.112562059377788,2.202188458037387,2.7306457229515106,1.5030936368540186,1.8209061089024319,1.2018110752801572,1.2603462461016937,1.7332882058600394,1.0224722181975967,1.0249394441371225,0.9910985902655649,1.026159428134478,1.3310967914186491,1.0374362445068517,1.1623999139465373,1.229371510568258,1.2707816193544665,1.1010439791168387,1.0827593562894058,1.1711373884088565,1.1451574492488683,1.228625002975028,1.2370740922221486,1.341577999030473,1.5242457817348263,1.4041472659118588,1.4067239390212147,1.301542883671565,1.5212698051265248,1.2050178034375705,1.3068722295553536,1.2374438092614024,1.120397453954973,1.1203645857951354,1.066254018212198,1.5694780403903286,1.1536595801952796,1.0151488347625923,1.0608725680116071,1.0265606819116795,1.2268928078928913,1.1457063331241333,1.3103849159685064,1.263703364563705,1.4581339992525886,1.414028094009861,1.398587573684781,1.3703067011995997,1.4973691880857434,1.4271860120855127,1.4311734023138813,1.4497816866410476,1.6253547413971094,1.4334937032937751,1.4413076280779074,1.3263249221751754,1.3566226654700366,1.2553706584466926,1.2134982451312846,1.3827408437078053,1.1933844804778841,1.2144686790639012,1.3541622892852045,1.2003690932569324,1.1099891988592379,1.1013700839891822,0.9862283773888548,1.0291419575274168,0.9840674250704012,1.0272696917395423,0.9719213722503192,1.0728352953784601,1.0783713519207796,1.0498131777947874,1.084178560957262,1.0037212792186159,0.9696057973484449,1.003116521416841,0.9031073025904355,0.963521721610882,1.0471183252517648,1.0583747030575736,1.06884457509326,0.9888276226195962,1.0401946315279897,0.9800504814336409,1.0652962811606985,0.9723873631540159,1.0213787227202646,1.023200252754417,0.9053740905530077,0.8764785039987382,0.8809104205641816,0.9804409480100263,1.0482861271865105,0.991612197615401,0.9026691219690444,0.8480608041004536,0.9652242017380467,0.9768281131092823,1.0754692768985208,1.1060039440244693,1.2043175929537602,1.2872038432701716,1.4339004029920461,1.7174264457865267,2.010328161186781,1.779905062327098,1.5490108199796737,1.3826151648867246,1.351091180987416,1.2653515833765088,1.265130112675616,1.0537551147146984,1.0417316037643471,0.9907659258172837,0.9801770526632846,0.944533169628913,0.8710241377431633,0.882363395795881,0.9687469097931768,1.0186219475845812,0.9594023051232187,0.8844315031297643,0.9084443330828841,0.9665002905388456,1.0199901300323249,1.0664312815102956,1.1845871525229672,1.2157790202282235,1.388889212808202,1.17837771193368,1.205757295738873,0.9650949324298072,1.110970805101984,1.0527665858974629,0.9951831040201962,0.9270154010857382,0.8129859449134171,0.7563465517838773,1.0314496380231573,1.7559016138112784,1.2117677868164158,1.1374900926593288,1.060752856623101,1.0819191694488632,1.0709186355105087,0.986140262913477,0.9829352273405405,0.9731567051549282,1.026147081024446,1.0595973509612788,1.0863970966974168,1.158640930575251,1.2153920422113216,1.1356315108856947,1.1204771063655639,1.234217762519511,1.2437641347415933,1.121426456138211,1.2297689449524314,1.4093018224036349,1.2654254137950727,1.2511538413065646,1.435440792026352,1.4879854219664548,1.336771079104059,1.4010196646469162,1.3108372653382563,1.612139312201617,1.41925056402538,1.3543324835212405,1.4983862506365484,1.5403023295667864,1.9093079101721664,1.6615421076102361,1.8149528614438266,1.4883481538458303,1.4909329241599611,1.5132514189513384,1.4567557071582922,1.4980381991368592,1.3081070440035816,1.481356367108733,1.273774112348364,1.3536586309094285,1.3281993397374985,1.3448134829322647,1.5094360560106688,1.3877080549776624,1.4004089204725485,1.194231686805721,1.1819435239176164,1.2272497040664925,1.3236347780552438,1.4301300687061977,1.6662723366899788,1.532322896069412,1.4921341050662726,1.5289283368859663,1.6600854619330743,1.5727302492682098,1.5206540897872023,1.7337064083402425,1.8095056239200518,1.5851801788275774,1.7126639841090683,1.9228662874418618,1.9786658322829842,1.701210418279215,1.7280530413998596,1.5946063602588385,1.5925548797325415,1.499953059773154,1.4831080902374487,1.5245426155703043,1.400463558768968,1.3799409611776863,1.419476198178189,1.3953555958087738,1.2697959972114705,1.3830911205730354,1.5231020926888665,1.3701678111877587,1.3704701814925386,1.4330072985577553,1.746038352577542,1.5247475028531234,1.4594701205048835,1.6649442092003102,1.7071134931255576,1.9133005615519167,1.4933104026600887,1.2543844586539805,1.122093542356382,1.4256081893132733,1.4756238734745901,1.5672178286514111,1.5398516858637883,1.2441062991470235,1.063307162678915,1.0529020097583872,1.0124738948578422,1.1326929401163002,1.3204050675197767,1.3561571107007988,1.4643307111097972,1.3862793997530583,1.3582959655342313,1.498282350646088,1.5579163932118876,1.284704964860264,1.5214168447624692,1.5224872586059142,1.6864823474178319,2.183202519467997,3.081220493666358],[0.9870035554817279,1.0020057217898373,1.0655206485693507,0.8153524572386053,0.9238409549115821,0.9135569594751102,0.8531746891491856,0.9035743053536883,0.8484626627111188,0.784604793949839,0.8103457155462498,0.9080029315528186,0.8103964027784817,0.758512305585872,0.7887848427204106,0.7904591765845559,0.7438957428437631,0.7299704561336421,0.7219306172350051,0.7224785904813328,0.7019934361114432,0.7272011752291608,0.7831078726541482,0.8616818439406284,0.8629202950258286,0.7125857972185824,0.6837368424627391,0.7035979155729378,0.7721755546832004,0.8043186279832129,0.8291726142881558,0.8558679097684312,0.9109956775198054,0.8741170799717988,0.8434345137807702,0.7776404186322059,0.8358739930120268,0.7400499164183068,0.7576195366776682,0.7423765472024488,0.8470862791625078,0.6970033385238017,0.6919344963534622,0.8613180807222767,1.227517277605697,1.9934888183246036,1.931418102039685,1.2777611382915504,2.2530622299063103,2.8685840678078147,1.543886844876127,1.7894296095209172,1.1349573437515355,1.0619697312231617,1.503755283439803,0.8928585897676004,0.9624567550562577,0.8016702874757101,0.818423441462674,1.2530031160136947,0.8413983300304131,0.8430446160199727,0.8521629462073194,0.9079370384366876,0.7738212795076737,0.7371668443740824,0.8442222107085029,0.7800559376782694,0.882016393195188,0.8648873640198672,1.0226690820978226,1.1656918135730998,1.0048472313184853,1.0683553510350554,0.8267000228930166,1.1447421618438767,0.7851565633927969,0.8455240583165049,0.8497720234067063,0.8024594091212149,0.8349933360308918,0.8225315664462861,1.215559793045702,0.894340100196624,0.8429055751985224,0.8269580748933604,0.7585576388221504,0.894937697820219,0.7884371032293891,0.8795939134306143,0.8034358916569619,0.9507811841751649,0.8745516231421774,0.8521852027508194,0.838842093049928,0.9168884158590096,0.8769527491905109,0.9096599393383653,0.9209625494531121,1.0970266154140194,0.959958723943072,0.9932930101298744,0.9289381794830041,1.0086423279653491,1.0187000319660373,1.0244756254881993,1.2448232738699456,1.074641603854374,1.0955600755860566,1.2173080066340347,1.0258138509770336,0.8990376365513323,0.8281785469833154,0.7606821083193754,0.7365727236091973,0.7243451099934942,0.7097789222179912,0.7433717932635098,0.7901293800668353,0.706172663302929,0.7072982211704734,0.7184702926532978,0.7249285614665482,0.7058009220045087,0.7314365968114489,0.7644186682598785,0.9351741088882963,0.9032338979832193,0.9709896040345672,0.9942985016264142,1.0085264555212037,1.076714708956654,1.0215381314159888,1.0374060226825512,0.9685507375976001,0.9855773872347894,1.0609203488397811,0.8766924991828999,0.8036310090048292,0.7645590807730086,0.8398463029166264,0.8945103225772091,0.8014519736744048,0.7398551692086487,0.7141761664147133,0.7605003509472471,0.7569524102842479,0.7879871400597948,0.8105627355489491,0.8579427342208775,0.9547696447787513,0.9829783722503522,1.2684567319191429,1.5272419472416867,1.3106710280462464,1.0467192056775754,0.9215935535629831,0.9513005854250912,0.8793829098344643,0.9421985460747122,0.8453175098634033,0.8132068698151247,0.8369816038249145,0.8140613293300845,0.8597972028329298,0.8411872342693598,0.9183733894754492,1.0305111914130713,1.0876287047305846,1.003001445621739,0.9119084604058233,0.8543397728887409,0.8786866697889236,0.9026150715349328,0.8706125575551367,0.9513707080586468,0.9084715112084965,1.0930038021297839,0.9149367637320474,0.9608250586749485,0.9601561658590975,0.9757591093348852,1.0023143883981203,1.0084810776668836,0.9524472617926124,0.9293311845557344,0.871629945993281,1.1607670972003772,1.779025683507502,1.1163566649936387,1.2455805885073594,1.0147147543224686,1.0985092498482385,1.1072289991247186,1.0584940806464367,1.1036395068299119,1.0802364527716082,1.0934314201138766,1.1315561433608754,1.1286499979129645,1.1613484770701321,1.1485546248518954,1.0988563687818176,1.1492401579610374,1.1901881653776412,1.1648938921666805,1.1635288185862078,1.2320630021894277,1.2952386001628653,1.2118149677685577,1.2262712478068163,1.3612645903315128,1.372833951908726,1.3418390436901475,1.3826432594272235,1.3132731288762405,1.5654198613975276,1.428976549266462,1.3529138867766664,1.4521697813589558,1.500455834117465,1.7303488992327203,1.6787860494237885,1.8225414635289634,1.4448709650098275,1.4271058111121602,1.4052236778335956,1.3731200144921019,1.4697330265622681,1.3128041839885525,1.4590395334594892,1.3573869994903047,1.4542336426329918,1.3818850149021402,1.3754652075480216,1.6299434646830036,1.4569410261934919,1.4855126712143203,1.2666655329541927,1.213183517363998,1.2097050753913423,1.2487441571190092,1.29757741001699,1.4779534697662617,1.3117612185349627,1.3291634062971633,1.336781020834545,1.4001016905918189,1.3197804858442148,1.3192098351282213,1.4717368488176854,1.5259469259042466,1.3732898165117102,1.4951173329941423,1.6482509977217765,1.7192996441169468,1.5295763367570168,1.5552993799726431,1.459408682939293,1.4445470871020973,1.3484902148871922,1.3634087898506824,1.4188413939469842,1.3309991842200757,1.3304540094527157,1.386959460546761,1.3816892020650073,1.2990321027138347,1.4178479743470582,1.568593994653437,1.412498243442045,1.4268743656915877,1.474823373067124,1.7619861405928339,1.5532419303475398,1.5047493382197734,1.6697177665105671,1.7150910914696507,1.9106502597984074,1.5103158012751174,1.3015686058460545,1.186407982650411,1.4882044518169362,1.5498073273079873,1.6399320667443253,1.6402555608052845,1.3467533430704774,1.1450973067674581,1.096349242867038,1.0149138037978667,1.0983810033585972,1.133047431371723,1.1435326306190663,1.1341821657137494,1.1243027935461058,1.1331188392643583,1.1745756320556404,1.2342901457711877,1.0319094559322337,1.2095859255900532,1.196546795571408,1.4619591025219025,1.9433555099316715,2.921030518915733],[0.8079437298947711,0.8519235080061967,0.9100246264829253,0.6956102566745946,0.8272961133234082,0.7802809716942722,0.7279289122194718,0.7599063960500299,0.6915152463781751,0.6250749741878087,0.6258293245940598,0.7453583099425601,0.6491101576822095,0.587940352815705,0.6096195400758545,0.6217603222044285,0.6146711157541612,0.5928125083526927,0.6114937584812794,0.6104224504402701,0.6050702384583092,0.628860185243318,0.7542468024146644,0.8575584379068455,0.8381213073675117,0.6520100543252894,0.6147668638650077,0.5939285556688414,0.6474271674026059,0.6571425577298442,0.6631742538445583,0.6816500379458196,0.7317802703171575,0.6867869677777352,0.6752090587146778,0.6359899081189846,0.6961182465839207,0.6155335343822941,0.6474970704704051,0.6406855940941675,0.8286949398991942,0.63945572697427,0.6342823432681683,0.8384732657178263,1.238124816141487,2.018946701823789,1.987401478676103,1.3033103471920802,2.259509955871299,2.9150078421968764,1.5603798322752709,1.787544569414975,1.0583688216354399,0.9967890542579011,1.4256049177826726,0.8311817384458152,0.9103681265886885,0.7261308041001554,0.7313623277493795,1.2448569776971246,0.7691668987062993,0.7433209613632458,0.7361219439585259,0.8057390518109424,0.6759823305073627,0.6383381164872983,0.7249384334540523,0.6502247984838191,0.754271962821408,0.7568370809664009,0.9005370210927629,1.0369674731654666,0.8721591985318798,0.9497805549252312,0.6869977604152754,1.0365766514578116,0.6539718965619704,0.6849668845239931,0.7031059083928263,0.6738464733342902,0.6918048409024016,0.6879623226426498,1.1053579436004075,0.7815549643491322,0.7456457246479986,0.6901010313869285,0.6286248589894858,0.7577631232714184,0.6539263385629334,0.7319878369669983,0.6510129369593967,0.7941570411491369,0.7145911505955831,0.6690137353237108,0.6600388230466903,0.725939777269702,0.7047333979429578,0.7378928646689041,0.7498775491643711,0.9439272400781002,0.7787223070115394,0.8274916205796655,0.7643996211734508,0.8360619182371636,0.8876764493773501,0.8924467770102511,1.105019535144477,0.9927458495838352,1.0186194749974355,1.1176982732249654,0.9448288339450223,0.804413790360649,0.7073104212106559,0.6510495740374902,0.6140206811746612,0.6053530190777249,0.5943555972516755,0.6503630208584203,0.6950022877864132,0.5698433363151677,0.5837694784596538,0.5941169149649281,0.6111174421097469,0.5863167196671942,0.6128644258979725,0.6676324976714468,0.8241071923261378,0.8179573971427228,0.8774322691482646,0.8899548924920281,0.9042611365092069,0.9532651873378227,0.9303922089806247,0.925214101969183,0.8848640499686297,0.9206514235012033,1.002125723644484,0.8041133812212896,0.7264741202274264,0.6829286634424684,0.7770927854413188,0.8348436233036052,0.7065615702410633,0.6402636481302872,0.6171452083908625,0.6636242410452361,0.6508004333445208,0.6756884964829122,0.6838083837637523,0.7150634152485884,0.8175957693101921,0.8327585596167993,1.1083828349372356,1.4181175580969556,1.1937274005921525,0.8735709761150369,0.7499424659027886,0.7896818938087925,0.7288400622841918,0.7984647657227699,0.7392453519789347,0.6915402719056205,0.7327606701498257,0.7124130428441591,0.7752563309841618,0.78928717091086,0.8626098726924917,1.014646599496588,1.0739091430415675,0.9708719303926737,0.8508090876332381,0.7920316259175991,0.799535571527054,0.7920208119475323,0.7509957133319273,0.8222113003725942,0.7661289960719463,0.9622003602073034,0.7879181713754695,0.8420075597166978,0.8351951994966637,0.8636449964785908,0.9007253512667913,0.9238409524095634,0.8605009235980358,0.827592190796671,0.7875451044057606,1.0997491195705311,1.7750781020402522,1.1044553228560767,1.1725605744398582,0.9898474225142204,1.0734948387084704,1.0761150416866907,0.9926993912170551,1.012578932423947,0.9811657515701728,0.9848002819758926,1.0080624210385132,0.9865888942980859,1.0290794671493306,1.0102308845173018,0.9732112474179581,1.0186193670317587,1.057271534871392,1.04931912058497,1.0278444447090844,1.1098469907847497,1.189101300854838,1.1126453888151944,1.1390772366970587,1.27722608086819,1.294947707843576,1.2925169972901192,1.3546152059091792,1.211789061723338,1.5088682930496582,1.2529910503672268,1.2328084384550309,1.330759570335372,1.356573740492596,1.6304943310386768,1.4974968646832083,1.6850648914891628,1.2962015356296224,1.2739454568945607,1.2754211866940515,1.2531345830034333,1.357779755329684,1.1851926478628398,1.306593841090547,1.2550963936450816,1.361010975016723,1.2442385685147868,1.2560578254417654,1.5197433806991885,1.332630239838696,1.3826921835237451,1.1290946891274136,1.0722698110556612,1.0663173556847634,1.103570430252313,1.1516061859806503,1.3555976688947964,1.189337342803291,1.1849467178785111,1.1970535581574007,1.2496369053560485,1.171601503588297,1.183125062159005,1.3281358257257898,1.3834145080434157,1.2498558278692293,1.367989187557987,1.5286008097872676,1.6209377633130564,1.4341255332429657,1.463951373496854,1.3660259616328405,1.328486303403859,1.2170485110231712,1.2307962105811048,1.290400885258865,1.2053230010316576,1.1976555764264543,1.2481904048252457,1.2473757442068643,1.159306245662389,1.2690314342063922,1.417128878546716,1.2478064193741076,1.2825167455771602,1.3294043863239167,1.602994692717471,1.377665205841125,1.3173174893959108,1.4789473919547609,1.5345505688471632,1.6457320635078214,1.2997539937172784,1.1218294009688081,1.0345273483822799,1.2810487038824327,1.3847125678421932,1.4788438577634924,1.5043917028552136,1.1868528914316983,1.0280479271051657,0.9758835693861414,0.923748358174653,0.9950184704857818,1.0235046389059748,1.0214927647741425,1.0554854059520855,1.027598313044438,1.0075790721471625,1.0283358722019653,1.1284606800096715,0.8917856807175141,1.1114727084470963,1.0498567380347434,1.3642032976499663,1.682711282526385,2.646540576951125],[0.601816971549995,0.6291481463623014,0.7070935125604955,0.48177580983968815,0.6568425043448667,0.5734754721444669,0.5172694824427189,0.5632409320050135,0.49182312123829747,0.42689298212879895,0.4208906970933739,0.5547735540988797,0.43212615234437984,0.3821047145741011,0.41226865166833154,0.4129499511693509,0.4378343358162293,0.4172214417766596,0.49426980829370676,0.4652656662535917,0.507439660139883,0.5307680713964886,0.7421178425704922,0.8717915655409463,0.8210881328323908,0.6029941487647829,0.5244093887298912,0.44180080779175673,0.4612576105205435,0.4429548690649529,0.4560853971055289,0.45666867137897377,0.5289017638403257,0.466603296361798,0.46117578475975596,0.4441998622954456,0.489397965985651,0.45071109372508833,0.4845874908083807,0.5042760489889353,0.8149554914215447,0.5832373887308704,0.5973892142658697,0.8433438410170657,1.2921360294391169,2.076641000266412,2.082033134131546,1.3635413405180152,2.2996444728532377,3.0074042489629464,1.611722787930296,1.8083300541966385,0.964413680979651,0.9183902380593458,1.3853470726721586,0.7542867884334084,0.8165444425466684,0.6446503066005539,0.6471715825497423,1.2015397802164582,0.6926759920003229,0.649843364921372,0.6005217567565866,0.7487472955808372,0.6128319970601492,0.526724619687121,0.6079350163866917,0.4960433024407864,0.6447754658098199,0.6362226213420497,0.8110058277476354,0.989190969239859,0.7423159446603318,0.8336173612730794,0.5635911607172414,0.9674747581530718,0.49452409986395673,0.48426675237289635,0.4908694406513615,0.5124094220782422,0.496824499862665,0.49888223615770066,0.9287755146774263,0.6124017621678307,0.5753099212456986,0.48467477740895143,0.44037921532317814,0.5636740626138887,0.459821966857083,0.5247466058648208,0.46877003440187015,0.6493884087192404,0.5549465895059483,0.46321672580589013,0.4549119623749571,0.5529591768033024,0.5484883825660983,0.5424939700021928,0.5541266726556099,0.7763120678924303,0.579758022707119,0.6774645107570307,0.5587798234822432,0.6555209831256491,0.7263295064368097,0.7131998504268123,0.9393280186138209,0.865044526008105,0.8693077321663994,0.9379410068457897,0.7772791256226305,0.6334283898427044,0.5153505649424208,0.4760486776366704,0.43126831545907873,0.442907782134833,0.46388034941593986,0.5131505100780656,0.6091354351003361,0.4345092337701735,0.45506668228331704,0.45839770993145024,0.4595229202615784,0.3997140574859218,0.434509209557705,0.5068842719883823,0.6966899528020079,0.6734991737895657,0.72588463392863,0.722593206922362,0.7749625609537311,0.8129176358754331,0.7986875909244064,0.7601867762834403,0.744206317336014,0.7848746920018083,0.9019661401317405,0.6545615116704908,0.55871909626461,0.5275742468831421,0.6489541561009652,0.7325376495272559,0.5557945467927737,0.4772078314136934,0.48332486876150255,0.5116215317702497,0.4930116586916101,0.510641705969327,0.5027616738924786,0.5239756096520726,0.6460206130209725,0.648031174594028,0.9429488587125726,1.2968511338403788,1.0582071822954686,0.6777705091224098,0.5480379639962858,0.6013176491271677,0.5164389664972395,0.6196787950974528,0.5794454291533531,0.5164937827164177,0.561620624157817,0.5452855381615949,0.6460702643810547,0.6649055112823046,0.776992493942438,0.9607207594038472,1.0060406954152954,0.8872770585917537,0.7489663503967412,0.6559848965081861,0.6594966157561696,0.618650403840842,0.5661235139084014,0.634385676006925,0.5715954014746797,0.7695051012305073,0.6102260209208829,0.6712762900221912,0.695555097479516,0.6902597165649929,0.7456629499774446,0.7947535279181795,0.7420895076083729,0.7335460550102638,0.732899197430147,1.0707579772143974,1.778471667833778,1.0581778932079906,1.1314443532873506,0.9063933197202961,0.9975195334150199,1.0025246426036525,0.900096453808189,0.9246589421058392,0.8785592478241938,0.8859601622878529,0.9086832498704215,0.8546971265541133,0.9070303912489286,0.8544954306913513,0.8173363691460872,0.8921535389629216,0.9204583495586971,0.8978801850206479,0.8870812027013011,0.9825828691855664,1.0419257016286991,0.9706584359287267,1.0153012989754788,1.169970414952151,1.1817550680275835,1.2009382830604127,1.2971601497960172,1.130707693636508,1.4554513172521764,1.1867000977606876,1.144570186008325,1.2479171805847502,1.2965871536223155,1.5411187596603613,1.4635577699249813,1.6018645749216123,1.197491217566224,1.1608872370307697,1.157696688743788,1.1484306228651238,1.2668736927301816,1.083420567769092,1.1899911278016546,1.1963196553536994,1.2932299403975849,1.1701980986333946,1.2291165257190155,1.5305610442321864,1.317801230087644,1.3722355917980198,1.064341823177027,0.9632658443554933,0.9458758526022567,0.9597796541505824,0.9863052456086835,1.2064491843326521,1.0413222975657352,1.0349771720457919,1.0408141780882394,1.0728291263329532,0.9830403031018525,1.0304569051874308,1.1668773612714636,1.224107742413717,1.0989890538818772,1.2170336923856697,1.3800535071077034,1.5003686828124052,1.3121544765428488,1.3524152171549417,1.2496275030563835,1.1956782411740827,1.0792941266901206,1.10252561745002,1.1807482346056615,1.0789415392563018,1.073336185497952,1.152919622210154,1.1540968451771447,1.0559124003667542,1.1952473315573486,1.3772789294255972,1.1918618660613012,1.256160190108277,1.3170697894496868,1.5787078029516903,1.357604332939967,1.2924009191594124,1.4766617401900741,1.511611534681645,1.5665423672850847,1.2153268630792584,1.0297741157188898,0.8907713570708928,1.1214820833872006,1.291351255104774,1.43834829319019,1.4662996848805483,1.1194872977937658,0.9084005439416544,0.8459681856123802,0.7674804293544444,0.831249994772991,0.8459442759344876,0.8446640451645716,0.9072863809480028,0.8621511257800228,0.8231301666577332,0.8480817968937752,0.9913515449038306,0.7004661416634959,0.9827541304839152,0.8735512017213817,1.2140569757158814,1.4550505962015483,2.422911227386653],[0.6032691606297903,0.6270416905696614,0.7738708577550565,0.49762906447824795,0.6730424853406265,0.5938377453089955,0.5070428397398168,0.5706428474610046,0.47162481277797536,0.42519345948397097,0.4119538159681366,0.5294384985014188,0.4230111249005,0.38761023146834866,0.4101044914188484,0.409444281776682,0.46004769088642306,0.4398432155391,0.5481126581742698,0.4988785092265578,0.5824375705041543,0.5832433435293237,0.8402248871034972,0.9776402347079873,0.9091235043527427,0.6856600779809999,0.575216322205889,0.469745456214954,0.46813941188412506,0.43520858902226334,0.4537700789795666,0.45622205992012355,0.501896756883076,0.4721651598896607,0.47160943466685773,0.46160805822625023,0.5006665440881627,0.48355273993458703,0.5116583709514048,0.5405462551130799,0.8607303676148215,0.651891638133484,0.6653756647486634,0.9094250922287254,1.3500566437742072,2.147450636786408,2.2153819499681537,1.4692492640965817,2.329869601929735,3.1278991922824044,1.7210253645918887,1.8811177530469516,1.0306976527611835,0.9383794683942207,1.3831907451628038,0.814617059744387,0.8574372151484445,0.6881723453185064,0.6734807877159934,1.2491666768410052,0.745036342169839,0.6721993877693685,0.6009619797231361,0.7864455366779286,0.6911960574909337,0.5674657806958001,0.6550762425320719,0.5098620203883285,0.6508197821573949,0.6663876842110833,0.8384197600287986,1.0069272323437104,0.7792566268273798,0.8421839142005282,0.5870011730734098,0.9749402345400244,0.5210119778938167,0.4864999154935343,0.5222545063663826,0.5587346406784311,0.501471438007966,0.5037820292789573,0.9095083619507346,0.6297972668541556,0.5695912110714071,0.4885539309819726,0.46700429632066154,0.5717595742778986,0.497489837513088,0.5361394422962312,0.4779327473735737,0.6634494534739159,0.5769338334905579,0.45215851273994145,0.44999998609659797,0.5497198129743314,0.5429016419603668,0.5236422163403213,0.5298566115053017,0.7230069418110451,0.5636136687923614,0.7359157224977155,0.5797851938280114,0.7190225955431925,0.7826851520759364,0.7597266714817911,0.9513736681261601,0.9309153886057336,0.9142255546002144,0.9536362872693815,0.8154468817927593,0.6639240607625171,0.5256794975696083,0.4862046399146641,0.4531017936148393,0.46862080518390425,0.4801263787041941,0.5341948081731652,0.6424381045637197,0.4763181383496458,0.5087242239092004,0.4861788228432272,0.48763974325322545,0.4116512318456469,0.4368449726096986,0.5063358435264096,0.7440213282528062,0.7177143564780938,0.7696554113607792,0.760032827547723,0.8588087554960906,0.9044050871506513,0.8659294297492676,0.807817482346559,0.7825080252568769,0.787862832019787,0.9093020165000181,0.6596725251061029,0.5401985083611082,0.5278264453881706,0.6357151802716173,0.7347976084757744,0.5493748157100411,0.4859692019872216,0.5116362549045518,0.5031116644217746,0.49682907661092685,0.5074788972071939,0.5098116194560628,0.5336871549130028,0.6762692911774951,0.6489919353545957,0.9478441365444991,1.2395175261681997,1.0063318032334112,0.6466738337565223,0.545421530657359,0.6176094476241544,0.5099917715320155,0.6289720805558333,0.5874285185201252,0.5141228991663418,0.5776292279227389,0.554246198279067,0.6572505456297895,0.6668114884062819,0.7962643880144702,0.9804840635236665,1.0225551087765241,0.8879288967497657,0.7587152492760499,0.6615644395221955,0.668368067486848,0.6257204135095042,0.5734607552009521,0.6567989117223038,0.5888296663195701,0.7542146926105292,0.626002018879324,0.6924038779870474,0.7474194822801817,0.7243219822973107,0.7829059976577016,0.8353965689194843,0.7741273363957537,0.7705182847331509,0.779690052707517,1.1677867955898071,1.8359639092678566,1.1159132274325758,1.1669665185028224,0.9224334674665114,1.0186476269258977,1.0380477096693146,0.9559025982036058,1.0094438052777053,0.9596153526175647,1.0058760400570819,1.0348240326639702,0.9874279776273556,1.042292045774556,0.9592978851082044,0.9192214807892856,1.020863690680401,1.0363448627434348,0.9818958829004879,0.9773538499118672,1.0954015241288577,1.0959752773497164,1.0271305396169383,1.1008918474226046,1.2388034717816119,1.2194763963279642,1.284162077014894,1.380247038294227,1.2543877962109813,1.528555467276254,1.3610623358386913,1.282146524232467,1.3688871891977124,1.4722333729188144,1.6768338864754506,1.645271372367015,1.671925048959775,1.3362766201247536,1.3032051944824028,1.281609055760092,1.3027219151490872,1.4213580860566504,1.2409565677289576,1.2938825060841235,1.395329403769763,1.445902879884099,1.3188985781069775,1.4330754929284975,1.7541638292712824,1.517512278937641,1.5453124940324938,1.2263418323391224,1.1115017863896166,1.0846191151163438,1.0755600011541364,1.0641147478110038,1.2843604362144005,1.0918241591884892,1.0912087951201774,1.0992376241783282,1.085554373082537,0.9960944454749739,1.0843162187274888,1.1762878069868221,1.2139391186137032,1.1210333690160308,1.2279829465101535,1.3543568608533563,1.485480935277138,1.3383650597672916,1.3968237558288346,1.3071611728155863,1.2595081182893635,1.1637681673914184,1.2103158788842099,1.2899275042079552,1.1919661139334736,1.1984081250690837,1.3003732137404203,1.2961840689951574,1.2066425897852828,1.3701207240333182,1.5508177974396162,1.3789586672744942,1.4636096603143811,1.5562510254086364,1.7840523082256252,1.5678227422333735,1.487424732379047,1.686502440487493,1.6840504221734691,1.689021319114803,1.3492436727857948,1.1801991486219137,0.9668030374779982,1.142698423081241,1.35306510208204,1.5603651494846598,1.5673693165178648,1.2700648658070333,1.003423549194919,0.9529924036558458,0.8091659965699124,0.9190349676996247,0.9159012739454503,0.9082339289285726,0.9405057751173294,0.9090746566612983,0.8629358678194484,0.8666105060110192,1.0045250456807258,0.7161692907882561,1.0249246311158877,0.8449802529668564,1.1091999246494557,1.227923098161454,2.2245864858422495],[0.608811165042854,0.5736753480412458,0.6577803101782482,0.5186272902847261,0.6708631930462705,0.628641145613804,0.5503312696569711,0.5944783048908228,0.5575456059451105,0.5327681712702529,0.5356844302720466,0.6359388647302421,0.5173329568160827,0.5208596825058639,0.5328123401746299,0.5158835753372116,0.5433294205790626,0.5402207882529246,0.6418718655155825,0.5764763847541579,0.6836429663144219,0.6702432224266555,0.9031763447361872,1.0438369205843996,0.9792918607353432,0.7636232951866191,0.6164157371953942,0.5566898079586196,0.5425886553310301,0.4999734287421843,0.5610479550844062,0.5285413835098323,0.5777386222611691,0.5670175264271227,0.5497023075543085,0.545394578218925,0.5501632596515347,0.5212584039466944,0.5445543027630146,0.5565646074818105,0.8858559826156576,0.6645142810032969,0.6957186586461417,0.9217626219628177,1.2694852023613141,2.090899987129076,2.16217562473,1.4535084965917997,2.3473700612929433,3.1329649953701044,1.7218234340355834,1.8779882006846578,1.0509793501147526,0.9422337809657905,1.35998611542302,0.8602400389865119,0.9187640212435267,0.7291984364227388,0.7201231212413252,1.3287598759140384,0.8051772340778799,0.7524653349687797,0.6813983903565793,0.8334866534893861,0.7593027165460201,0.6625612188076494,0.7348258552512107,0.5945390674883111,0.7549711888669092,0.7716300146559357,0.9252119167366958,1.0828021730280064,0.9267462370088934,0.948333968205467,0.6742672509530264,1.0257058620364983,0.6050177663946245,0.5834506581992325,0.5932135518278618,0.6152504549477971,0.5524025634712555,0.5395860359327402,0.9196469018998679,0.644172520123031,0.5896083870763099,0.5171746861548467,0.519248430330965,0.6241546488077634,0.5695241430609443,0.6126349140413285,0.5556867812041377,0.7863309330380848,0.6572066161165372,0.5674438320594213,0.5651979219607378,0.6636507689177327,0.6569908373801793,0.5999913741506062,0.5777445621714332,0.7253338554727848,0.592306725015076,0.7415498628179606,0.5837853264844091,0.691880917341511,0.7462485945817814,0.7220767653729853,0.8906007661042629,0.8773662943693734,0.8543439893034876,0.8901634798160809,0.7892109647108414,0.657030403067178,0.5470020269648358,0.5156370223102233,0.5286688630801808,0.5684762109694744,0.5792100387462199,0.6254483484566694,0.7166870466241815,0.570915063712044,0.6076030665142452,0.5857714747770396,0.5903062769138423,0.5156746797840002,0.5164915486048748,0.5248920456712146,0.7519885042712313,0.7001263947048626,0.7230440347084625,0.7166501786166937,0.8052140461443551,0.8456250937943858,0.8117475934426341,0.7578627324983933,0.7343607160757524,0.7568019773513067,0.8764117588540806,0.6544365972169313,0.5884436376265052,0.5727147008459952,0.7183342534636963,0.7880889311025887,0.645252515957378,0.5596102215584946,0.556593034156317,0.5412979197033315,0.543043816843492,0.5344386562172414,0.5341406764347186,0.5605250172412943,0.6798129458098935,0.6522239690077126,0.9120886709778657,1.2184626835150474,1.0052320190743682,0.6564684212478369,0.5781647106639268,0.6208803944177307,0.5343274355137109,0.625601131740277,0.5888324506412762,0.537672536527867,0.6032724468895616,0.5778807124340448,0.6472170706860425,0.6763136636953421,0.7715096172675644,0.9518738513995646,0.9891940216223825,0.8692845957420662,0.731012521610404,0.6549091562172802,0.649564943327584,0.6169698671081222,0.5767156959245441,0.6478450675748736,0.5997431001752053,0.741091032536371,0.633904833835199,0.6769267944223409,0.7368483014384203,0.6996210670162019,0.740235240686414,0.7905003988677127,0.7357128182526775,0.7510423318694953,0.7706347994309645,1.177438892746075,1.855023010513889,1.126327071529003,1.139900548378308,0.9094695936956386,0.9824116851218497,0.9990138970271704,0.9067533297518457,0.9641373249990105,0.9165266398765431,0.9535049835480535,0.9956188391170822,0.9494631630290429,0.9718836802043659,0.8614501194618791,0.8319276364011422,0.9445877153671723,0.931028507840341,0.8543186894552413,0.898964450901654,0.9939538585833504,0.9494779190008975,0.9016306529316779,0.9906595796738547,1.0898481678246694,1.0433369533593344,1.1638766939767113,1.2618409684558871,1.161928486011135,1.4133606569015527,1.2574572867152098,1.1689721549514067,1.2292010016767063,1.3055124492191332,1.6035064879165721,1.535706484349787,1.6905245607580301,1.2276162600573088,1.182740566236008,1.19497126776091,1.2041618197956547,1.3035535747913416,1.1443592496293578,1.2294255566330303,1.292570382013708,1.3584783190790604,1.259482752578705,1.3828336316590966,1.6590716460181858,1.4397624141337073,1.491622230715693,1.1690249693471706,1.0584109634388519,1.012740396191335,1.0010733591242476,0.9495968789816914,1.1223504830269462,0.9748963526828766,0.9971756852309824,0.9627715555718379,0.9294306097130639,0.8792313703183485,0.9396413103554564,0.979242764501036,1.0259261812264053,0.9468938802070803,1.016320309120911,1.1036698500580717,1.2813109645860687,1.112440090096774,1.153722943446038,1.1062598090650215,1.076072702912159,1.0119875097977968,1.064289580439551,1.1464724049215713,1.0477162880646436,1.0666231224922076,1.175742564724814,1.1851491109236825,1.1169138031751313,1.2676886903388955,1.432018977665023,1.296591118643655,1.3912055965236656,1.4376855110417452,1.659766713458641,1.4889252487708693,1.418584040375723,1.6451748606776706,1.6139153242309405,1.588489359108109,1.2957913589294505,1.1073655317847295,0.9230917921737187,1.055373928358954,1.2913345603445527,1.5146477362589776,1.5396047238224435,1.2201734830182571,0.9587053660887528,0.9001448461374933,0.7699026460059897,0.8195663717181887,0.8173462267277816,0.8086530200489338,0.831284803088934,0.8337809236887642,0.7548775686254113,0.7750599795650963,0.9779751837739694,0.6543253255547715,0.9928991162143412,0.7578101411981021,1.1824320372155728,1.1265100722426635,2.0156345374241225],[0.6178503463372713,0.5532531483524529,0.6155403319322875,0.5067291494643068,0.6840992079547098,0.5860464013763447,0.44621578562227876,0.49198104430961925,0.4389806009878432,0.3508151686757032,0.3470263760604785,0.4644050371349188,0.3481014235091684,0.3187032066724273,0.36097982396965106,0.3425221251840892,0.4111376208505812,0.38874956879131883,0.5157051707740632,0.448925964116549,0.5387561589319234,0.5855679972499749,0.7951320328207976,0.9395982497208439,0.8379042124603389,0.6290466045731762,0.5390678486016636,0.3908191495299318,0.40546840929445355,0.36333987782486216,0.3858221356482237,0.36222416952907166,0.419907002833186,0.41337793568863784,0.3928482507085755,0.3962580465036671,0.41830250269783537,0.4238038465752351,0.44776969955970386,0.5262625951157125,0.8498615014867662,0.6115637194546805,0.6664120668963817,0.9114026150826252,1.3863117993270393,2.1216616499481167,2.2313137792610185,1.4569103925496287,2.2504704521304206,3.084433887746257,1.7060178067744594,1.8295308878410177,1.0015459212433668,0.9197328357842571,1.3344673240667086,0.800132644194741,0.8266326597694829,0.7133686505695829,0.69556779827149,1.2715651204074212,0.766962974291318,0.6582959932604093,0.5435032330001303,0.7674963182113272,0.6926157104891951,0.5235715029826877,0.6154962899457308,0.4685055345143504,0.6419366473735708,0.6697768298947211,0.806007217054802,0.9897370227594594,0.7483725821274086,0.8541730285448469,0.5432194455337335,0.963597773678729,0.4726185392021532,0.4230077221046088,0.4425710902446519,0.5137121258017685,0.48025009082058173,0.4736836232636613,0.8202939311980961,0.5989513260821359,0.5216805978673019,0.41600106023082584,0.4095918420862035,0.531260341654499,0.4115688302122935,0.45985048753275265,0.46082500691894934,0.6632346579731289,0.5599247107281833,0.39834673939803783,0.3904898137380567,0.5028712321285523,0.5560740642405264,0.448657251866905,0.4209734675966833,0.6169556095320484,0.43100281081287434,0.6311652875741759,0.45116239121604684,0.5916960043557572,0.6422111630203025,0.6320538932548819,0.8101521831415757,0.809110152616212,0.7719186189583948,0.7930813423925448,0.7017509578785174,0.5398646167358637,0.43321907072784455,0.4020291695881104,0.3758260924900484,0.4113654863173792,0.41064403111618936,0.4748169930385954,0.6070172208227108,0.4324305136205092,0.4613726111133104,0.44491090340337786,0.4422960961868611,0.3298470027712437,0.3340177656939427,0.4163489165361617,0.7315611708501328,0.620839728038256,0.6670667794444024,0.6547952970047863,0.780869090098561,0.8100430363247384,0.7731633674208778,0.6949102013915289,0.687489476899144,0.6951397878269024,0.8652424680787258,0.5745437692573563,0.4604585327594465,0.4476572502521643,0.5724273309549328,0.6918656003053375,0.4898165381464288,0.4048728871520201,0.4400822505078134,0.4316029484956946,0.4231361022567289,0.42651499284962224,0.4188014015328022,0.4467623680859939,0.5802240671508803,0.5673678171844507,0.8566022988799836,1.2071337730819742,0.9810981887481471,0.5493274643450387,0.4396670118354641,0.5136063386566954,0.40040242340421034,0.515056740204334,0.4768256046678008,0.418044052138666,0.4706865672147182,0.4604362445997999,0.5795011380390728,0.6026148580815647,0.7494881873598154,0.9496401326968228,0.9789321922251273,0.8385775513609358,0.7024806650509529,0.5758670023061518,0.5763941917310162,0.5324394610152645,0.4795187015875951,0.5416085072902861,0.48393976559167806,0.6407260359294277,0.5191788163602337,0.5665612350472465,0.6950436713205379,0.6029520377075019,0.6849512494900648,0.7589603803450099,0.6992769914010821,0.7320942847035988,0.7894715214380584,1.1552618339065017,1.8525815760855322,1.0759071721768139,1.1370101721266426,0.8868633524977795,0.9874889136489501,1.0060694904643945,0.9058952752756553,0.9890557388630524,0.9338048096454331,0.9451430997620911,0.9685010691775255,0.9370722020961505,0.9130686258455554,0.7847147294877898,0.7685859802331413,0.8726817051841816,0.8430219911450613,0.7596954313327908,0.8121537185587229,0.8898422047682245,0.8448596434678034,0.8140102224086577,0.8998088363010806,1.0068750877205135,0.9747769212449406,1.11015081798005,1.2161628737536034,1.102377007184178,1.3351197307053757,1.1559282995882556,1.0634593471029776,1.1271543448926296,1.2135290889333017,1.550988547347242,1.4537112474111218,1.6155350041260594,1.133273388893799,1.0982761093360878,1.1138249995102907,1.1406267951381401,1.249865042508267,1.092289226593277,1.1839349520251754,1.2959504175421723,1.3342042568985166,1.23060879003664,1.4010926981104983,1.6785468568585065,1.4305018461441665,1.5151788092786722,1.1379980434632997,1.0362628896029413,0.9671432732604712,0.9320727882698129,0.8634346403939408,1.0279200555882966,0.8950492002317204,0.9048740594415711,0.8724168544011913,0.8276095827078884,0.7860626318000962,0.839150728203235,0.8665544098385802,0.9148018804864559,0.8404212498370249,0.9083412918991116,1.001126617039459,1.204709945400785,1.021108571513163,1.0557932588974812,0.9964113404405776,0.9656553754378099,0.9161763582508142,0.965224934780968,1.0435248504469228,0.9440486282327669,0.9840198012992151,1.069544009700935,1.077057355640291,1.0350013589517186,1.2001192058722554,1.3494027339821058,1.2112913022461569,1.3586881610001076,1.4226890313398513,1.63371813798942,1.439343483188282,1.3346083310363988,1.6228703886981652,1.5052632859155364,1.4331794771594475,1.142829805159429,0.9944814689051444,0.8447907469390339,0.899206676839697,1.1097738145921865,1.3785648787609628,1.4373668578790526,1.144829823382241,0.9138577457525052,0.870660930962545,0.7228547768098212,0.7351172902143456,0.7278873721293176,0.7140410668799289,0.751495217476937,0.7397927982803912,0.6729822195874748,0.7080785678747468,0.903478779235351,0.5898109983976064,0.9590091872264904,0.7004238127377405,1.1990724243343056,1.1242463863485495,1.9588112300933989],[0.5826801171432625,0.5407608110306005,0.6601569779266675,0.5012486912978815,0.7179749431071384,0.612122468500904,0.4655621208241109,0.4925226181738042,0.44319349566309857,0.3611728824986557,0.35327651034152263,0.47909650926045255,0.3583174410945044,0.33157085931829916,0.3732059406203259,0.35392228779867696,0.4339175140847369,0.41286139901530966,0.5245545216485622,0.4714220658610723,0.5649573010096149,0.5844172058626552,0.8679736482237072,0.973771186695666,0.89078864635341,0.6515094958886927,0.5748036620487006,0.4224980974701908,0.42769746856721313,0.3905338148248742,0.40656640027502877,0.38927671768489064,0.430706990063351,0.4434486046543554,0.42932011293288885,0.4388308815855687,0.4489075057319334,0.45474005181766014,0.48578829742262514,0.5668504036804045,0.8416684115941859,0.6339928373164982,0.6853347101418209,0.9198560825400818,1.4402828132750582,2.197717102021267,2.339603703856804,1.5265339081577978,2.226866544645377,3.1288338486934784,1.7527075519433304,1.852258653462151,1.0322538919083262,0.9389058350048177,1.3202935290736932,0.8267364794780404,0.8434954759601584,0.7339889376516137,0.7115825906649927,1.2749537408150446,0.7808703635813963,0.6744890626430246,0.5591527121490333,0.7756591510468884,0.7066637772208882,0.5459196289627201,0.621011009069418,0.46252871436905896,0.5988669341824823,0.6467159075954959,0.7653517022399688,0.9610098493362614,0.7103670822866824,0.7985110761984985,0.5483518438304515,0.9171699527104398,0.5039183495260714,0.44991363876689333,0.48771179784410146,0.5595603594518858,0.5112251425271969,0.49494831063577244,0.8319381434195632,0.6431995273549007,0.5339532149887781,0.4514506764221137,0.4484330188767663,0.5454985050414964,0.45096045575282884,0.4854725601553392,0.48250416265554524,0.6274037262235008,0.558538374879936,0.40557276670693404,0.40003566062620766,0.499844515402999,0.5737728606313047,0.4658557981411308,0.4304136038037283,0.6037700264727338,0.4411412582063067,0.6206789207721605,0.47371947719132984,0.5955722247620553,0.659503106288127,0.6512324903948012,0.7955610807435901,0.8210943332091142,0.7726595335775092,0.7806897085361533,0.7062107006798729,0.559978120173985,0.45965074769548675,0.4232582512835973,0.3988867953468427,0.4377692831150231,0.44133557017073805,0.4717636966972981,0.5935161496616473,0.43796816650214854,0.4672798281042611,0.4590344267032504,0.4465099253088113,0.3513220503533184,0.3608179697107177,0.4254603594412419,0.7340937045846654,0.6358353468107318,0.6725361998165795,0.6708912190791673,0.795142250920793,0.8163023244914697,0.7890895395983253,0.7084168673463012,0.7057673978482111,0.6989294140418764,0.8759818311284078,0.5892740235317719,0.45402032198035036,0.45169790607911003,0.5410114611598095,0.678181812035499,0.47421513779240215,0.4161744722263138,0.4624109112421147,0.4722925131811751,0.46439016633494207,0.45779976470677447,0.45202047592807637,0.4613156425667974,0.5727054598803165,0.5574981276145309,0.8160629510139913,1.1429991182671078,0.9476623635644111,0.5422175258441007,0.45800456274191087,0.5177667668708035,0.4339023401330696,0.535072112944852,0.5055100288679415,0.45829963047829914,0.5006418219722126,0.49088591128794407,0.5950749811700219,0.6116503420402143,0.7718003925702238,0.9602952286113493,0.9841448100403763,0.8403439933746127,0.7159451276626786,0.5872852504257794,0.5910740094525324,0.5568961566632105,0.5156980626495451,0.5673913241408164,0.5131949775035587,0.6412487132237085,0.5494758822965609,0.59937026375548,0.7154678074436202,0.6311867567325563,0.7037950085591114,0.7692590359115768,0.7139020920173096,0.7450218510469974,0.7963190383518465,1.2036467215046578,1.8200634808993446,1.0752350526910348,1.1456507541540124,0.8944894554498034,1.0024829400731645,1.013540788494604,0.9117873054970029,1.011575877600901,0.9523196709026278,0.9569734233690543,0.9660109730759853,0.9335239877460512,0.8894947474337385,0.7654784904948915,0.7575196638877152,0.8272853220125148,0.7912568661772035,0.7036775520718865,0.7418701056346156,0.8066345668959517,0.7570511251111991,0.7532258209436303,0.8318763112471985,0.9100630197439554,0.8968798886460746,1.0802249404783912,1.1560454699902685,1.0534842549908938,1.2137779864551417,1.0378039956554466,0.9536679801915752,0.9925388670221297,1.1038152280361697,1.447385313440664,1.3119622120447987,1.506276133446861,1.0388931395276884,1.0126637111522987,1.036397283247907,1.0813647437182077,1.1808595793319723,1.0479362050216139,1.1304283638665014,1.2652727766176115,1.2790056856235827,1.1862096757430758,1.4084935157933216,1.6516313517301027,1.4008403001492984,1.5294496433965952,1.1113650297126716,1.046852496281112,0.9536614646513399,0.8975418318791399,0.8309602897356755,0.9385075225567093,0.8535970302586133,0.8411058445552807,0.8175568582059698,0.7730785794639724,0.7418528150861131,0.7658354982291053,0.757455508990088,0.7998002126673684,0.7346895760312221,0.784117315838613,0.8631254868522487,1.1107381279566972,0.9031138117432745,0.9086727832428885,0.8629652914586092,0.8444013235209163,0.8218046881935276,0.8666842839889392,0.9148585092786014,0.8406126751157245,0.9053886947343264,0.9667003682344462,0.9687294041532939,0.9624094801835353,1.127716535486314,1.2774980910262705,1.1185179946315964,1.300507521976834,1.3616527341740459,1.5387552525438857,1.3558737930964873,1.217770333035204,1.5895092646509983,1.3894615891233804,1.245613476033047,1.0111268042145694,0.887026442872742,0.8079044686049058,0.8298659165355333,0.9253910454896789,1.2181517602214107,1.329540762644382,1.0754305335306513,0.8864165520265952,0.8643115381649871,0.7169408591903935,0.7294958509327654,0.7208211159127276,0.6801674642651563,0.7308708936923869,0.7132989306768185,0.6203582351320869,0.6300055377558087,0.889498394144879,0.5581991312421315,0.9160997667081398,0.6662958282535891,1.2655825091326174,1.194591418568203,1.9395053374176017],[0.5690120338841692,0.5763718608372079,0.7058362855439487,0.6515662685402305,0.7718607670023006,0.7134855371183392,0.5802841136817961,0.598002883918556,0.5563998031956092,0.49143045915915856,0.4790571473158746,0.5592072417315495,0.5003133871004989,0.45411690419148465,0.48881320015046587,0.48461875371359714,0.553047778123728,0.5192373309160385,0.6190388668867105,0.556521022767451,0.606954664115837,0.6560698263378353,0.8231578404230936,0.9397370579870734,0.8303592140534085,0.6711947164737032,0.6433947213796476,0.519571862089288,0.5552475911236572,0.510840516183293,0.5174364764378714,0.4912410359684218,0.5238401628869561,0.5406526552048547,0.513844494377458,0.527069479731412,0.5360527074413609,0.565438624811917,0.6048886762341885,0.6789042519324352,0.9212989617821847,0.7073837442569202,0.7639454305888591,0.9396081171889923,1.4673126116336561,2.1212476268665252,2.241315533311425,1.460476647749367,2.170678025488752,2.943457198068004,1.6224104235332186,1.7428957417954016,0.9910374976179371,0.9841641565810775,1.3661008099775798,0.8527919793521848,0.8647464244512533,0.8078471651797362,0.7814160115353657,1.3235826454734234,0.8599419353951908,0.7408880905109272,0.6416087638274739,0.8398536195876671,0.7508710974378984,0.6129714724098215,0.6807450426584031,0.5864774773428032,0.7163413278850349,0.7494877371615692,0.8495370788738327,1.013632107886927,0.7862366597805018,0.9371801943128458,0.6432864276837768,1.0246172903189747,0.6048348095264328,0.5510717006295299,0.5595437427061664,0.6188525208446175,0.618504178736566,0.6357025722233268,0.8644929133067788,0.7616285018353758,0.6616733560610891,0.5568791820689291,0.5550491776434116,0.6470281316123103,0.5188160333737085,0.5624985859150177,0.5929997985408528,0.7458536005747167,0.6739276171255011,0.5239790405397807,0.5117361255367775,0.5951005403324074,0.6583918715431971,0.5554252657963495,0.5415459552461749,0.6626170834311609,0.5260348283893613,0.6910570407053301,0.5470276004202538,0.6480160955123044,0.6678785001782225,0.6985575792326922,0.8009682835458795,0.8115002831370314,0.7792838020796419,0.7773494377378325,0.739802681058218,0.6170579072829179,0.5671685687229947,0.5508673808438909,0.5174235469008351,0.5219476657409112,0.5226224238291726,0.5685868280340682,0.7127067545928638,0.5266137651430753,0.5493225340092489,0.5503050434172803,0.540256986138815,0.4871526914732848,0.4916090627038301,0.5581513717875366,0.7642963923048635,0.7111756579823936,0.6959408334741224,0.6792041857269558,0.7854256084286788,0.7926348997302469,0.7691034861168997,0.7053162494645182,0.7084519700354079,0.7359815606928237,0.9096796472173817,0.6523489907792747,0.5685337044800759,0.5454570308957679,0.6282895330333362,0.7370454695191458,0.5908835894107046,0.5295084723922385,0.5505768282615929,0.5956963930009922,0.5822484698944533,0.5595033181037122,0.5490297469935642,0.5684917393045342,0.6469622759083056,0.6562719581475129,0.8735351764244578,1.2293691937644569,1.0131700176900553,0.6329523047268384,0.5609498899871431,0.6031587187704204,0.5383273927309368,0.5916294630887817,0.5749709245871253,0.5528015916655352,0.5710695216620372,0.5671301233040382,0.616542650126392,0.6364870760940329,0.7733011974411795,0.9579328929609227,0.9748893103421776,0.8410473748323544,0.7361636994918908,0.6389685129097232,0.6374551344166216,0.6168775247095948,0.5799197579070088,0.6196130337632909,0.5817100405661205,0.6754694725121467,0.6182232056914364,0.625526996830493,0.7715781322949952,0.6455781587031514,0.7112490313881387,0.7564079084339617,0.7175865421270203,0.7839828420418989,0.8818697991776603,1.1699526783382437,1.8478579515602558,1.0160421563784308,1.1673472899415078,0.9305169291105719,0.9905194220149244,1.0001237368351328,0.8850623252715624,0.959733576900001,0.9229254517518982,0.9124585106438239,0.907961653234507,0.9462864444533559,0.8422207402638736,0.759360868932039,0.7764598474956609,0.8069551124101794,0.7603574998124789,0.7072252023560817,0.7355302569634586,0.7694275081159159,0.735288763311722,0.7474769944262397,0.8131911306590288,0.8781461381262478,0.8860551620684397,1.048830579315879,1.1233063576433155,1.032813346188221,1.1666591022445696,1.003230482417236,0.9134358733494122,0.9447227505543999,1.0534007522764255,1.3832709543273225,1.2483796325214433,1.485518645974129,0.9708799112204254,0.945082310995176,0.9705161544818462,1.0111919531376519,1.0950742005638352,0.9728632449178328,1.0389676854583105,1.1497382225072335,1.1789896148844727,1.072601199414905,1.354142413098789,1.517538584382186,1.296723437417072,1.5058929499713305,1.0196452887346485,1.0093813023162863,0.8684074712072775,0.822599925257323,0.8060515179455632,0.9174989552193282,0.8520134803268958,0.8118418976020699,0.7884354721646503,0.7571048905075324,0.7452571265571892,0.7427652466849476,0.7355200239322249,0.7897087263665006,0.7235910419855425,0.7632685649595586,0.8455377065571477,1.105636026711011,0.8808615634778318,0.8763911859216418,0.8210585841107609,0.7992903220570543,0.7906871161113157,0.8025393872327715,0.8486288137391217,0.7841948068249831,0.8398266542250612,0.9015761967883962,0.9112029249198864,0.9011693934959707,1.0396848458868673,1.2151271082265254,1.0484429918406248,1.1967328026127293,1.240485071478239,1.4285134889389692,1.2639885216463271,1.1607504658965486,1.5432229721266597,1.3891453600697914,1.2109132077244573,1.0253765319734756,0.8937864365962718,0.79168913933283,0.8926517921305795,0.9520951078255906,1.1712026382296545,1.3301990846672336,1.053456512980029,0.9022591109208736,0.8613590017538926,0.7362168577190542,0.7419412560008419,0.75085755796567,0.702252981264785,0.8200175639113245,0.7469332677474683,0.6325540610946685,0.6451490896713065,0.974118645891177,0.5985245157628278,0.851418632713332,0.735182882365296,1.4156504660068732,1.4562772136172941,2.031677491972963],[0.5054017346426383,0.4800982985062736,0.643572655028803,0.4432754174945708,0.6196905021997392,0.5381551441010348,0.39722336658720536,0.41724236786666163,0.4201457388854282,0.3588141771206628,0.3682764802028232,0.44675606407789326,0.35245971180045715,0.34971336715522583,0.4131907795132261,0.36765594698753196,0.4382813361164407,0.4363804429456014,0.5776084998462243,0.5272415754453814,0.6518494349706746,0.6970714786431229,0.9076278243188122,1.0307779123346552,0.9033275195037098,0.7043358044746331,0.6210945670301683,0.4476678195290762,0.43945002386689347,0.37537101446564614,0.4351028059539122,0.36239385365723453,0.4090177272108233,0.4435226769894176,0.40310376169356066,0.43862901957970063,0.4021332898278057,0.4731684655011947,0.4852697436157867,0.5860745940623668,0.8687049129928911,0.6835800433682023,0.7482753119784893,0.9560932888086073,1.466568884078987,2.095288132288146,2.3186243007870893,1.5048341317142233,2.094309098756425,2.9964863817935097,1.6944168232642698,1.796062143101613,1.0283219975803088,0.9390633825401442,1.2657853515068227,0.8790280499037699,0.8912042707442165,0.7912329950606948,0.7622170284407391,1.3962595258597599,0.8755566184013285,0.762659212390181,0.6108035821048591,0.8857606247347146,0.8329724502456083,0.6001473257325587,0.7065844754879981,0.5460617981129172,0.668106467412604,0.7243249019043644,0.8118873658712358,1.0113908976461774,0.7593741309134084,0.9008473604500029,0.6286075987688793,1.0371807197781489,0.5653009226775961,0.5077311058620967,0.5198071928124505,0.5876901193165549,0.5020603363779392,0.5067606958592896,0.7909989837579193,0.6903453654170031,0.5601171131308328,0.41756147278246486,0.45664109492247656,0.5213739303995406,0.4594432179784189,0.4808432540712371,0.5277874120753412,0.7366660464309763,0.6408225847056994,0.4443452870865007,0.42159932122758226,0.5333194561768856,0.6235548461775005,0.4647654964397778,0.411275150136497,0.5379845921434492,0.3848031494151365,0.5371483082735778,0.3866354505451608,0.4831203355367008,0.5041488233023911,0.5186799714234126,0.6297714819790743,0.7072207384348228,0.622825144903996,0.6317496030100773,0.5582000653280874,0.43848362634590043,0.37854947462701655,0.34869007223863424,0.3782252325919815,0.45106506638094424,0.43930071486062616,0.5268162183985647,0.6801258171945472,0.4676446511576064,0.5288600412120071,0.48414417474728455,0.47979180435615315,0.3460447039012337,0.3250521877005099,0.3610858685929889,0.5884013647006477,0.5225943459634915,0.532398176339809,0.533318000487458,0.656285969224841,0.6721413015749164,0.6914579224715964,0.6009975581069459,0.6188713633285056,0.5933947674451532,0.7969009145219472,0.5423985767220783,0.4353839774600483,0.44366053306658954,0.5744388055355462,0.7551996307824039,0.5444219205629584,0.4423206604746921,0.467838920799003,0.4542008333443268,0.4402333903162541,0.4086999213899645,0.37246504318083495,0.40160124941130754,0.46025045225906536,0.49857319319854226,0.748735575319036,1.1263704803879986,0.9483043814190892,0.4737901906886802,0.39093858847188784,0.417700005401905,0.3673014083901088,0.4325350970538796,0.417309130103155,0.3975456953076606,0.4657591225893155,0.468980919495687,0.5496063956935593,0.6077715785707154,0.7727081705205741,1.0105101686458424,0.9997975735056494,0.8131181428884443,0.6857151224583566,0.5336377874228642,0.5359539423702062,0.48359720186016913,0.44568159800249896,0.4663855069368907,0.4457736159884314,0.5169730604486797,0.49168941361653423,0.48575040681266557,0.6333619388657614,0.5044907664814433,0.6110762988474131,0.698970225346577,0.6666006225672998,0.7424818723777487,0.7998889945132818,1.1601966545282667,1.8892998515870316,1.1638715102715647,1.203809732196486,1.0215120404755564,1.0285571536250266,1.0034487165058281,0.8545360886751424,0.9384059659844634,0.8414929324934289,0.8243624953510686,0.802744669425947,0.7719141174351952,0.7095141377353081,0.5893044452991038,0.5867560063654726,0.639876664440212,0.6147712107463915,0.5442628314377332,0.5807539427575152,0.6457091193123695,0.6124956514669654,0.6496878378666947,0.73841817829022,0.8139730226772502,0.8210170995152257,1.023075033008314,1.1052227923958335,1.0001046575609929,1.141717561965691,0.9409529635072336,0.8245432033381982,0.8735398788499458,0.9806148965372593,1.376441623419726,1.1873510651746704,1.3794618699158996,0.8877042017023073,0.8329530046065308,0.8416821619619052,0.9247018944535927,1.0279775591618607,0.874690579571959,0.9785949440999323,1.1722015884347459,1.1531636236838483,1.0255166971072949,1.3263605781885905,1.5171992646497146,1.2561996222426473,1.4045765950376254,0.9350020384218654,0.9036964761961273,0.8095432013032421,0.7304623023844387,0.7013544524360912,0.7636623078392616,0.7192543353390582,0.6737913414518708,0.6643135273184786,0.6108006690823593,0.5892922925686342,0.5879304709540991,0.5912141701743638,0.6504335083363864,0.5801860752516393,0.6397151302185138,0.73400617668132,1.020278789248899,0.8014358993476483,0.7958444034845524,0.739273867260545,0.6974808793887562,0.6498098227102204,0.7086635982089788,0.7551522688328206,0.6780869922199866,0.7358227573309739,0.8068042390952745,0.8110416449525197,0.7850795567823372,0.9725326723040281,1.1516211857805176,0.9372198673426734,1.1113885748703407,1.2266926689593722,1.3789645289560197,1.1868693639617345,1.0069257948045693,1.542291139852293,1.2379609384299963,1.0994335899544916,0.9213807999395858,0.7624623695077725,0.7467595649154726,0.8462691689571183,0.6991856828005532,0.8943526110730885,1.0088583564831264,0.8441271798516233,0.6859694890937817,0.6826700509043957,0.556652454768382,0.5592914117111548,0.5719248388631872,0.5130145219798098,0.6518206107447623,0.5891326268897842,0.4768687001276226,0.49408824003094326,0.8695818153431343,0.45895724840271956,0.8226596055466313,0.6360330624385746,1.3838087483711634,1.4133318036776443,2.06686640319199],[0.4836501487108016,0.4677405358973894,0.606459931519952,0.46400254666957436,0.5925265679707863,0.5532682999747887,0.41490471623670855,0.43791656331686835,0.45582533875746933,0.4121609627861736,0.4307122559694541,0.47211398669050947,0.4255487289401199,0.42555290794534895,0.49616151735238817,0.4405391760811976,0.5078164541189715,0.5037884846394387,0.6223473229600981,0.5786855345934747,0.6770111251135033,0.7551433397645438,0.8823792856085751,1.0178345947988638,0.860840757788218,0.7116123837934081,0.6694828626300061,0.5112831000975838,0.5066535584184755,0.4466326782876323,0.5044712595521719,0.4300416268412663,0.47377469162866,0.5171321082229031,0.46474929353601546,0.49271744004427326,0.45862717835939687,0.5458319544089609,0.5524718846092153,0.6565581723190185,0.9043439903142682,0.7343252021201127,0.7957251752208176,0.969498894499486,1.470217979573232,2.0118630308090153,2.22323927015395,1.4375198103331683,2.0447901632586523,2.8374285217013733,1.5945639399111071,1.7339319558645696,1.027555307067304,0.9752103970583178,1.2965994311052083,0.8977806790080993,0.9065216560600217,0.8484408675325682,0.8143148588168854,1.4161643668529165,0.9267280931946408,0.8060625815316796,0.6540605634994596,0.9306739080485782,0.8805238848700008,0.6372853468733548,0.744795164769654,0.6117796656769715,0.7301266304350152,0.7785679620143552,0.8441418091605192,1.040080829299349,0.8023046685056923,0.9772286642286133,0.6828710649141115,1.1054187907378132,0.6336161729909718,0.5843141495821349,0.5799212666193335,0.6273144252148497,0.5551856629501732,0.5940612318005455,0.8168220710921097,0.7390504557521612,0.6392916269346856,0.4796394913490736,0.5257241666344752,0.5984414478270595,0.5138923839581393,0.5439214039513363,0.6021589881403194,0.8162840201076257,0.7124384685366062,0.5286521702845682,0.4930346780155153,0.6028232007389404,0.6797607811215018,0.5152473444240528,0.4683117961362288,0.5687082713757184,0.42703792707383925,0.5350647213080526,0.40746004194291413,0.47581519513990245,0.48836921039344194,0.5228559688029528,0.5838756846809989,0.6586599694147318,0.5817211021785331,0.5994803041240461,0.5166526449622532,0.43116077537362774,0.3974641887047444,0.38925963097209537,0.4321075534504343,0.5041330621772973,0.48906091677411956,0.5780466378276454,0.7340395933688798,0.5259989535186812,0.5764719060478071,0.5300077532019963,0.5282132749155071,0.4021672788188221,0.3610148387087119,0.40126868476363486,0.5146581917290584,0.5102588643386606,0.48754189351312743,0.49994790885798235,0.5900383475445817,0.6050553489491856,0.643089809504217,0.5763208018862445,0.5956177837493832,0.5778381699130998,0.7792128887945469,0.5664326986821013,0.5013561178124114,0.5033930431083874,0.6470973323701035,0.8193266908585234,0.6179871474571892,0.5034388404236214,0.5241436055545845,0.5136461684480965,0.4901345199595615,0.44837660880071645,0.3999748059889902,0.441158767998905,0.4453045791623027,0.5415107279527731,0.7459999713660561,1.1975530013766553,1.011674098868986,0.503476498683992,0.4186091203277385,0.4232185571064128,0.40369213239287866,0.45961071098053036,0.44251812447094463,0.45239063570489546,0.5094730289041142,0.5220097548558019,0.5843165874826741,0.6448966873424775,0.7845664202549022,1.0240081771270206,0.9892916255443588,0.8204984984563377,0.6950138728098549,0.5587983104631189,0.5599127171620912,0.5094278368037608,0.480246842993837,0.494615439354094,0.4940658817357652,0.5349217301474158,0.5319488498626783,0.4921938407792833,0.6524201074865074,0.48658006930319264,0.5859728128335464,0.6885346418214181,0.682388789892199,0.7857458530118553,0.863056638946483,1.1200633881426427,1.9552933069730642,1.1817107435231506,1.2485221093882923,1.1090613923917523,1.0397751333938954,0.9850380721477702,0.8069473179098453,0.8597291893089576,0.7702001076408248,0.737149846644685,0.703924246776488,0.7218591655680984,0.6264182490564802,0.5367620109409839,0.5471146068370495,0.5780319995575157,0.5599384440877297,0.5177723366594896,0.5441125965886128,0.5963892761691268,0.5770081030728474,0.6375480667271198,0.7278118329063986,0.7922878706699122,0.8037929032767294,1.0063596372846664,1.088518109717854,0.9835335104588432,1.101446806798295,0.9027035053018743,0.7796447043981182,0.8225111291485229,0.8999491175664639,1.279285722190626,1.1008626127272723,1.3726659198674773,0.8136469865318054,0.7311397952958796,0.749971244050323,0.827318988148843,0.9233123385781964,0.7801640556884912,0.8920324948493659,1.0595793734682577,1.0394461347122737,0.9010084458928991,1.2387068616833143,1.3508511910375522,1.1333445795600225,1.3453680327377409,0.8217599277349588,0.8181648470208673,0.7102646629729343,0.6646889674025436,0.673215715378074,0.7217324644531508,0.7004521660106103,0.6327079469018936,0.6369807777840308,0.5847349375184946,0.5721697855635217,0.5476984317076872,0.5685296319486413,0.6435152937794877,0.5695318131751449,0.612801360959343,0.723232198705552,1.0200170957009247,0.7770182093227613,0.7541412132184516,0.6868621761302182,0.6379878545922772,0.5965917995641705,0.6283218509471816,0.6745168796551506,0.6132944305864171,0.6555370902204728,0.7216358348371235,0.740328162346412,0.7055987964705639,0.8589196096189707,1.0665790201190921,0.8526219284923181,0.9888284783066055,1.0924174022607387,1.2724200020938279,1.0932630609573415,0.951107384555763,1.517080247810676,1.2766205936822492,1.0645499199240955,0.9231260057886608,0.7606841269568821,0.7463268911946419,0.9061052371150073,0.7125417593449289,0.8540324881894074,0.9832381481141313,0.7943061924286958,0.6404026210688999,0.6166944371164534,0.49664911847098814,0.5226583201895623,0.5574798984125191,0.4927708510874706,0.6932929112486298,0.5756196456340608,0.46387903585961704,0.48109760570631543,0.8766191841001125,0.44462373949295253,0.7691032458169135,0.6988453145972447,1.5560271714676324,1.6713718017874077,2.278676707533768],[0.44463563201553025,0.4489172664821055,0.6423957585660216,0.44164867183442097,0.5847750346972181,0.5168446200254738,0.3740331022326567,0.39657080749970364,0.4036005239297058,0.348109640333938,0.35086435138629957,0.4243039766733485,0.35735931375904595,0.33506743045002807,0.4023488685110688,0.3629885954162381,0.4336307226203403,0.4174977766895865,0.5524817225432046,0.49234143474433006,0.5889625518201845,0.653906036923054,0.830201482264891,0.9465060912624285,0.8216055154286316,0.6492957985542683,0.6048938616281735,0.43357675194893525,0.43796367507146355,0.3702912383127888,0.4218470692400856,0.3530803106794568,0.3897403072557834,0.4357145548785593,0.3910169832738306,0.418954377443398,0.3970025553125297,0.48306299480786685,0.4922294281129187,0.5974110917248381,0.8721119455210268,0.6644327751246728,0.7236642733355888,0.9138403455928467,1.4343422178717231,2.0884430263275404,2.2230539363040935,1.432050587690946,2.13820549948371,2.915457453504113,1.601485927209005,1.7244374194462655,0.9749818634407967,0.9349776511222915,1.3060278484987333,0.8305331828181464,0.8440000360493016,0.7817130292859732,0.7465304919365752,1.3319111601564182,0.8386934881566303,0.7214638558613676,0.5814563449025102,0.8267295746437481,0.7707354257660883,0.5637344450533738,0.6546666485334025,0.5137485460208259,0.6355218805776562,0.7023820976791875,0.7884013287629937,0.970426161286005,0.7371113843520788,0.8562798184018854,0.6021961481294568,1.0061046288881879,0.5410691092830945,0.4804320008241875,0.49011402444855967,0.5468458519604341,0.5014017123130764,0.5327851886366546,0.7864017991552397,0.6777815166973982,0.5773333705566875,0.4264838640557634,0.45601357241222246,0.5352042684889721,0.4289050499778874,0.47572960441087253,0.5100066539049479,0.7164297606056477,0.6219302872396786,0.42812765983289336,0.4070061272049936,0.5147189233519405,0.6072559225149341,0.45060495145353097,0.40224803840907164,0.5117935432318764,0.3790511277598779,0.5186646635646733,0.38359596416169384,0.46895117184792334,0.4816035835212636,0.5165885255259226,0.5962988106271812,0.6636894484903709,0.5952719278652672,0.6075845430137637,0.5205409549637954,0.4280814604406692,0.37381959348272303,0.369598111806827,0.37204936351974616,0.4422290225110438,0.4278315184078488,0.5065288830240924,0.6571685183861721,0.44112685335728735,0.48710632186919695,0.46023403239998495,0.4599208932068476,0.33706778008584276,0.3164951187026625,0.38431039339238315,0.5344473894111292,0.514382830516325,0.5029786068971908,0.5043571152518439,0.6036497672475611,0.612510730647824,0.6340231107198803,0.5694631896823099,0.5861022026064272,0.5835625657863641,0.8010941995054456,0.5547985560035933,0.4661770070035296,0.45286644242581886,0.5837092143589079,0.7237721243563837,0.5350502467256483,0.4437382460300649,0.46792605091501505,0.4617682300452049,0.4425329888481598,0.4105950672657765,0.3722510919645323,0.4112023479193662,0.43497177922302843,0.49220785053163296,0.7220592277801045,1.1308718577426766,0.9489340545185866,0.463726249240866,0.3813566123536072,0.40524993587474906,0.36762842238212573,0.434025230373199,0.4219116564607374,0.4069521778077489,0.4614914958258595,0.46494440799119163,0.5427250725556219,0.5975076870078524,0.7422218956088321,0.9582936281269945,0.9480870937218807,0.8028155153871226,0.6741857649410646,0.5402636529933699,0.5366498872297991,0.4848294739756464,0.44896850342439815,0.46511992149697956,0.45112919126897644,0.5112594813010953,0.4907191588879176,0.4797490424339048,0.6445592822243609,0.473128645925904,0.5748437388267499,0.6564435804624158,0.643577152983334,0.7367296307150865,0.8320755989579126,1.1024212792848789,1.9007759436935954,1.0761503514503257,1.1787384319383523,0.9910611894612368,0.971803608473672,0.9444933066192731,0.7811075560313082,0.8362995876754765,0.7746492434464541,0.7347574521459931,0.7068539471048089,0.7332804077300641,0.6284873000554021,0.5419515416762256,0.5570394329563614,0.5844703273679592,0.5564332602573632,0.5135354610869016,0.5488612968396175,0.5891552639394126,0.5660582238618086,0.6272315272968862,0.7199704175748237,0.7737863866143524,0.7796761337926148,0.978881974778089,1.0726563663908442,0.9785343264051888,1.065129076825496,0.8877825635782982,0.7646515420967022,0.8020534166785063,0.8772740645091993,1.2522583820403788,1.067369005988422,1.3686098393842347,0.7974759935344593,0.7219090263447828,0.7607923607820651,0.8231147115959193,0.885169240272391,0.769185919175828,0.8788409191382652,1.0075150391354255,1.0048938305485835,0.878267558976786,1.2189924097763774,1.3028329884565653,1.1041786328002483,1.3751951270411495,0.8155559353055342,0.8163552072533421,0.6999204555452183,0.6663146128478492,0.6773444608258739,0.7269688322245718,0.6996004972862798,0.6324621110050567,0.6350129853324519,0.5887675028440916,0.5725016700703873,0.5488511832753141,0.5617874363422972,0.6347181561604842,0.5553167682169075,0.5996113697786528,0.6983534554917441,0.9905475232708133,0.7538504366913825,0.7256370126453743,0.6639061183447732,0.6222607120156559,0.5920410446392252,0.620629889035285,0.6558927758529394,0.6014690072988379,0.6477509648724591,0.7057832154589644,0.7267962185547214,0.7015208784069944,0.8360304034652095,1.0357356842866554,0.845153399704334,0.9715097708086854,1.0458559863362105,1.2508746600123422,1.0863778672831776,0.9734223698840702,1.5019781859527748,1.3427332163315728,1.0548793547567759,0.932228816960131,0.7698867051742119,0.7478312107682943,0.9467501159906819,0.7376588822132715,0.8924667150920514,1.0555980993868155,0.8220479572399494,0.6631527176143154,0.6311123019297752,0.5165218932401858,0.5104697529039497,0.5456644996392508,0.480101955179462,0.689296237461414,0.5586539793908382,0.4468653527787979,0.4584691069106077,0.873176953484609,0.4227834336879899,0.7529311562616752,0.7085286495241675,1.550954554612088,1.6710300831593283,2.2732077342175865],[0.4953633733561253,0.47801655031048834,0.7073773718222823,0.36155189225198764,0.5834675941777128,0.4912182808617209,0.37729699501319963,0.3941928585642639,0.41317138894048316,0.3736665712271054,0.3802280807512735,0.46792333003708003,0.3728124822991156,0.3635465918901201,0.4197266986336304,0.39788612890050395,0.45016539776212655,0.4527414834067372,0.5843099070727895,0.538770985505044,0.6794183066373086,0.6847212641136884,0.9828931675139801,1.0746519016258775,0.9713873143722652,0.7325689982531438,0.6327356230506184,0.4656260131178698,0.45401500384131577,0.39977049863197267,0.45534567952202637,0.38985025991430455,0.420348679103133,0.4565095149495593,0.4270238930438331,0.4577615626362125,0.42843819176464276,0.48275136552910114,0.4844255990121364,0.5867963110734727,0.8663604915144475,0.6784302767514018,0.7445899571494369,0.969083699128579,1.486730062219015,2.202652771112773,2.4158532607960335,1.5823842218749233,2.1577126734868153,3.119078523937192,1.7819341530086308,1.8241454873296847,1.0537898275918385,0.9343944584590309,1.2566185097568396,0.891691577012479,0.9061087548462015,0.7805295107978613,0.7564872067788313,1.370844216679395,0.8530158599331669,0.7591878095942666,0.6211825093701374,0.8584376404590636,0.812854873698848,0.6238204947979289,0.7166636457293998,0.5338255679218358,0.6218757581211556,0.7038759085217113,0.7958768829298887,0.9890912001988981,0.7379481678660604,0.8205589348591112,0.6237799060391669,0.9718620114577952,0.5672771135967231,0.5166726722878328,0.5424929492087536,0.604802328642063,0.4996107020245496,0.5084006039713147,0.7719596367686011,0.6989004619022079,0.5579054948073301,0.4205107576105525,0.45269465308073714,0.526627403113309,0.4749860728380156,0.48757845056926813,0.5272365761200437,0.697908032637408,0.6395937287800693,0.4470869780324004,0.4308081228440308,0.5255217645641733,0.6226760098060382,0.4801490327751813,0.42316778697909047,0.5049485429415098,0.4007559813209077,0.5223821640038326,0.40823925481669787,0.47308962242890934,0.4967652523477944,0.5026232910592721,0.6005419845098972,0.6807639683546447,0.5773220506789041,0.5913305186612322,0.5174422571208652,0.4358702653593611,0.3785747902239521,0.3635644704465927,0.40244300643120423,0.464100977836279,0.4685548206898392,0.5270938975827784,0.6454869171939055,0.48544903573362364,0.5383218637562109,0.5095682135007293,0.5103469207047099,0.3717278965997809,0.3279582984683233,0.35050293912679376,0.5762254380970835,0.49929596548586325,0.5010376720054446,0.5193443666316372,0.6248055386120853,0.6378781391234793,0.672051270257593,0.590356255683826,0.6084619053225028,0.6039875783429369,0.7648219703645928,0.534831846008396,0.4261752690694217,0.43568615754113155,0.5432760836735256,0.7065735722199278,0.5069556780159512,0.4323665386960239,0.4695676228599811,0.4637958580299114,0.46123779946802124,0.42702179896372455,0.3895243966176244,0.3999426209403752,0.4367908954362258,0.45826974307374524,0.7229190456436331,1.0338420798219898,0.8672775010626315,0.4560996726609058,0.39496379611952515,0.40010766143379195,0.3926163452633099,0.4438249437221595,0.4271777319884734,0.40972689945503205,0.471226809226055,0.47505931104165566,0.5481543128375213,0.5911219366289622,0.7461365431182072,0.9645139192538865,0.9673628087870552,0.79366138974252,0.6664801895449458,0.5248661230295327,0.5299344347536163,0.48297676421397373,0.44688332314426876,0.4646710379503516,0.45932759341522256,0.525247248127651,0.49803262222635164,0.5054746573489911,0.6251748475220457,0.4979718136944408,0.5996293284186045,0.7084203749890705,0.6733054439761765,0.7616520461487067,0.8077185076353562,1.1961479313032224,1.8606607678702158,1.119138357376479,1.1635337787434965,0.9770762468430428,1.0153841524997869,0.9963001438573851,0.8361185007406855,0.9007079681186723,0.803341986032046,0.7727441557421273,0.7270824640963659,0.7151219427641353,0.6258719803056864,0.5154159440098459,0.5159953312689084,0.5411589745146191,0.5296805282559499,0.4814102288347592,0.5172706364520664,0.5680453026962948,0.54247041225263,0.6311101242147784,0.7211298652491682,0.7737860114442158,0.7860925025801552,1.009793420248939,1.1077433706917559,1.0210394074897124,1.0701424070357037,0.8761571949448106,0.7348826733047946,0.7839842411966904,0.8482327553097331,1.2470520469494686,1.0456712591966342,1.3049433948574076,0.787627954996694,0.720274771118204,0.7412291546016043,0.8297178964210895,0.9227267277470732,0.7757858505547085,0.8949237474519813,1.0898513321781946,1.0472817002879942,0.9197059945439534,1.2617905820150797,1.384926530310875,1.1456521564600388,1.3430945741318931,0.8375991576832574,0.8446840926518856,0.7492810281310168,0.6737190162398693,0.6643445974485346,0.6911732943045286,0.6700062966839118,0.6149713150496644,0.6248819141904478,0.5451851961808037,0.5399426454576386,0.5076652123343827,0.5174816455315521,0.5871734401775364,0.5202068733442659,0.5594643970088546,0.6529784887790416,0.9695102419526334,0.7359721786900715,0.7087247354455579,0.6530057003119649,0.5993610920866067,0.5568931097417188,0.6178615083605262,0.6401531229523426,0.5715163965204121,0.6295876270394111,0.6897825010689954,0.6975552068193713,0.6682973750224407,0.8368740551867095,1.0271539420440179,0.7986866136098891,0.9695117886510525,1.08221576465416,1.229900567439841,1.051556436459011,0.8869689482187589,1.5379633048287715,1.2714964451904174,1.0104232293221342,0.9262561720975624,0.728163566575089,0.8058264949116816,1.0320708987600882,0.6429977721191091,0.7296991302134013,0.8345094258656871,0.7188137935537496,0.5817085135706649,0.611948612847639,0.49943678802644603,0.5009551998391529,0.5159352613153789,0.44382436715256074,0.6104761299029532,0.5403814026774963,0.4424695935283203,0.43096658790326403,0.8375724041609333,0.43323871479513293,0.8089492115441422,0.642119005480743,1.4542779009778841,1.543072372175234,2.2337847934767487],[0.4482912113026689,0.4412200511633791,0.6965618631882168,0.3458901268833026,0.5562067277454825,0.4839039025715423,0.3773836668047821,0.4085622822042037,0.42866485269341814,0.40821216292426526,0.42421661428850765,0.4916309241919884,0.4186951177403381,0.42523076516570446,0.49450196074978753,0.4426046295715887,0.48005570973101797,0.5023892300522964,0.6208701924678584,0.5958153168126284,0.751975013192437,0.7502538713726963,1.0235464411689528,1.1236716984679382,0.9972534437062959,0.7811716393510055,0.6651548223668492,0.5084304375125626,0.490516625271513,0.44122692162129684,0.5097738930900338,0.42880974956389417,0.46239600930970687,0.5012747581268805,0.47004648758528306,0.501910333159209,0.46677104398390434,0.5218526869147639,0.5105728677029445,0.6245337425954985,0.8881103298400094,0.7199166986351049,0.8025402989453798,1.016265619005055,1.5072444066246016,2.098477577649614,2.3785097711028067,1.5659179001545818,2.0456024540562017,2.9881572311578424,1.7491054885729223,1.8306472543150831,1.1026674572875854,0.9828652473648045,1.243453546493555,0.96628785894252,0.9531114813280468,0.8440612276246104,0.8139044433298726,1.4630906542696034,0.9188377577136976,0.8353480608105008,0.6809266168581529,0.954393041248572,0.9082516576709595,0.6752719738069252,0.7968966509515404,0.604725699645261,0.6712829193471981,0.7630912928592267,0.84289032089106,1.069714194400083,0.7894100720105914,0.8798201114268314,0.6888691575621106,1.0481686145560043,0.6352578939816137,0.5948401623219647,0.6081018996888977,0.6663650918786204,0.525413183242686,0.54415994257922,0.7914660100047683,0.7516498601322137,0.6196541309043568,0.4583864306561921,0.49302672293110433,0.551275545633369,0.5275712694579051,0.5387693534039589,0.5877334106636649,0.7795650726499717,0.7154750053941916,0.5207747843771324,0.48136888484806967,0.5757023494349365,0.6845235992517463,0.516450297162219,0.45742726816501567,0.5113852845568331,0.4212464029980688,0.5261735161209975,0.43557725195992164,0.4757588743549069,0.5071320998481811,0.511726409275243,0.5994512108466451,0.7032860852530219,0.5782482320698523,0.5914212107118477,0.4956860386139112,0.44270539180586554,0.39012881764710167,0.37496586924974673,0.4380162651378237,0.4946950715950917,0.49216490025950405,0.5621112498776487,0.6966769437015925,0.5247014772905556,0.5947037068223324,0.5446707034071099,0.5339006305469884,0.40399714063530845,0.3634552579569583,0.35948262751384924,0.5206289839264306,0.490920799631805,0.5003417337158668,0.5272545455762516,0.6215623957988445,0.6501247999138131,0.7141721052499547,0.6279535481275546,0.641916518957195,0.6032367460836323,0.7620282977329306,0.5555336154898471,0.44688965483656246,0.4597736865157059,0.5862674259307834,0.7965674379533033,0.5828679123314134,0.4755726604838629,0.4986614207631359,0.4820910616085746,0.4773725157843298,0.4559606562676075,0.40823662137535544,0.4178497668965218,0.4210854154489678,0.48579803604627747,0.7219925537222138,1.07592956000323,0.8986147241531566,0.4726908102317003,0.41293108920697463,0.39961476928890294,0.41972686873366,0.4634680943736359,0.4515151055186536,0.4312324695508581,0.5063187346641295,0.5444513516576649,0.5908469380624813,0.6595684052021245,0.8183669191344456,1.058038442544056,1.0327773228336121,0.8261760546354292,0.7175643684840167,0.5628993252449465,0.5724701431072435,0.524953939351924,0.48873000061123023,0.49824168918888345,0.5014432519298023,0.5331903219997649,0.5528428327225011,0.5085021779069105,0.6207440363505641,0.5290330318136699,0.6484739400354533,0.7629273757070029,0.7372350147662734,0.8212361394340042,0.8158900849921782,1.1760809786146615,1.9088721425949235,1.2500636195629453,1.2755086732320373,1.1476109340731335,1.1134740662729405,1.0722410529704967,0.9000518767993356,0.943686655846032,0.8045903777887938,0.7698888484907662,0.7172832607112857,0.6872133284643908,0.6194166899813329,0.5124275672555152,0.5053811327356857,0.5323747177186512,0.5280141587123316,0.4825288037993199,0.5258846488071519,0.5749583147052624,0.5420090158148371,0.6298582944078034,0.7234566836397422,0.7724980799497452,0.7775948034764424,0.9977849873138314,1.105570132712733,1.0275104720721624,1.0715418686599827,0.8931476130922964,0.7427255423822952,0.7892372137378063,0.8505002579169859,1.271389909663361,1.041845245717765,1.2848230628813744,0.7808448312319739,0.7083516757287923,0.7209961601543459,0.8298806937441138,0.9236468383611177,0.7697861382795353,0.8806798318489603,1.109686273445448,1.0349480706203098,0.8951236850756302,1.281330286008296,1.3532591972851697,1.1242822964449533,1.2978243446144853,0.8194122356947396,0.8359176489605086,0.7578498112469786,0.6797369978144037,0.6861115182285947,0.6812174123574888,0.6817306297988137,0.6216160409517013,0.6336480035057653,0.5434996970798042,0.5399329540933367,0.4968979650505722,0.5081806622834016,0.5737735493276874,0.5145098934782595,0.5587061823149824,0.6509056676056632,0.9645369842130296,0.7351215184193841,0.7038574703460858,0.6524488286901861,0.5954540171372741,0.5485670558884262,0.629266349777544,0.6422488095177128,0.5753874545514632,0.634267831228047,0.6928332936819905,0.6972451760800519,0.6639546891781465,0.833817439582255,1.022277151012534,0.7852453816274324,0.9398156459843343,1.0934955778279627,1.215429692947721,1.0294972533427922,0.8550623297205713,1.5725917939931848,1.2511623634851836,1.0192017246565463,0.9383404820929826,0.7406998036352113,0.8127614307165274,1.043913153720073,0.6691694285336719,0.7007055160969315,0.717351993351524,0.6721025368108371,0.5439265989842802,0.5837906765767726,0.47381876459909034,0.4844243451471183,0.5074481013339499,0.43288384813662295,0.638368524409254,0.5411249109980265,0.4288869488144511,0.41555440185520603,0.8563259791632496,0.4093856802066234,0.7763754027418658,0.644951791753222,1.515113242299699,1.670536336164259,2.354350082423968],[0.44001739972940507,0.4476746659214063,0.737530544671515,0.3629551090034651,0.554930855000555,0.4915076352455302,0.4091013035972929,0.44684191557341857,0.4843915258194202,0.46318477060115687,0.4736841517874879,0.5332213934300986,0.45823217051952947,0.46557631678578704,0.5304363752735118,0.47391461794094214,0.49920708449003937,0.5062786833611598,0.6120333794365099,0.5824672384692628,0.7207592775097973,0.716357981327505,0.978692566789635,1.0700240244913588,0.9582849681718165,0.7527531336269139,0.6522921837076372,0.5032010444119321,0.49378546970541937,0.4576791936533728,0.5242807419187419,0.45260102910147815,0.4859361418999841,0.5136831831996468,0.47985664641998993,0.5051338464412203,0.47457868061507147,0.5169140844636108,0.5048206691152775,0.6148109424125724,0.875878457115239,0.7028198185217034,0.7745739959116186,0.9813550651714839,1.47356163586515,2.089981771637057,2.3116802853665877,1.5098359823179388,2.0755741980010862,2.933585737601336,1.668273849062576,1.7837135624001235,1.051376305515499,0.9624199572259541,1.2444099787881506,0.9117209875901121,0.9095678757980289,0.8212872389867745,0.7840090086879458,1.4155628620587628,0.8808495437797913,0.8011751959696511,0.6601457559162809,0.9170183412837147,0.8664267893940323,0.6549515566404418,0.7735399230609024,0.5937494670438423,0.6576774685690874,0.7571140817039775,0.8368299291249689,1.063265163291725,0.7819782471189247,0.852477894085008,0.6885483722488486,1.0253980709619854,0.6218282782754773,0.5858356216442744,0.5971382965837086,0.6471393809259488,0.5252227223148643,0.5466634296231304,0.7961034021239606,0.7449208524940892,0.6273822889640907,0.45645926391428027,0.48782612949995185,0.5478527490224756,0.5219783586726783,0.5422740051809103,0.5916538200560111,0.7738324232460413,0.7197059232125589,0.5421788054447522,0.5082696292306903,0.6066574926850179,0.7094776554412037,0.5445320623989919,0.49780191713359295,0.54361167222697,0.45727018420859084,0.5486928812580386,0.46666773145570056,0.4874347623261312,0.5114816838968594,0.5263304684499643,0.5994880993407833,0.7127341012173718,0.5923352094962571,0.6020657393884189,0.5004867491300532,0.46470300143731336,0.4225018505857901,0.40746849769261106,0.462409945352774,0.5108340427696306,0.4988912609040359,0.5546011279010343,0.6747438133986406,0.525951991260826,0.5970830036817685,0.5688281447447402,0.5571914663254623,0.4324870460788127,0.4090345510402595,0.39151341883658736,0.49747135565817596,0.5024522196359398,0.5164349897995648,0.5389000579789064,0.6114704130691373,0.6383983002505841,0.6962129913302927,0.617015603757578,0.6348433686965849,0.6031090786188205,0.783115723577726,0.5651623802404097,0.4623003352556448,0.46430501192616197,0.5792940817059368,0.7639434856223148,0.5596375947553841,0.4634585694620045,0.4871231421145442,0.48246389953185315,0.48247742238764285,0.475877949780867,0.4346765128832177,0.4511681135522282,0.4418597925340275,0.5206328971580669,0.7329975522551739,1.085976476519857,0.9241585585127077,0.5106221471188975,0.4551454033312258,0.42481291359949913,0.4511770009683785,0.4897668200748242,0.4664394464132218,0.4337371357342223,0.49923795604802423,0.5312054401913692,0.5736851416817474,0.6354470584849579,0.7936363498958101,1.024410898536779,1.0012740954937915,0.8202643877786076,0.7120763002886453,0.5612734648515629,0.567718250621313,0.522119292041597,0.49207004217216405,0.5084409286325686,0.515545561956595,0.5394915733092068,0.5557553008752146,0.5070387591941593,0.6210137003684955,0.52595623902605,0.6352771169977343,0.727909915734841,0.7116440753552733,0.7937871498548299,0.8168009946192574,1.1149712595047818,1.9177919137046409,1.195973307933484,1.2441936835375564,1.1481204612978044,1.0668296132129005,1.0214538142988345,0.8466571491410178,0.8812594947177915,0.7817698960986752,0.7385133491617653,0.6916136738086238,0.6874308606560963,0.6171849633809636,0.5311883511908009,0.527523825400549,0.5536950086716681,0.5436342625848479,0.514292285887444,0.5580427733029487,0.6055542995843948,0.560884330172555,0.6556804208743653,0.7409472432415475,0.7657660235302206,0.7766188521773367,0.9850476443253632,1.0836362090436882,1.0212107691707555,1.0458368461042693,0.8871055348655622,0.7447178878390306,0.7763502498058352,0.820686169685609,1.2158526417230269,1.0022981677071958,1.2744521597570915,0.7501838685730944,0.672833847392335,0.6970139424074958,0.8133796981147363,0.8714914888272636,0.7539566415292137,0.8495272315253471,1.0506983516773198,0.9852544924881033,0.8485914419360283,1.2637703826239504,1.239383118619561,1.0706195063471686,1.3025329136609076,0.7793166081554977,0.8088656122516898,0.727555405921703,0.6773779299882674,0.7100881437602782,0.6784888577742172,0.7095049411110003,0.6373401908912019,0.6476669670687407,0.5713774266634456,0.5601558364324494,0.5164236812573166,0.5256690509899309,0.5828576304513479,0.5256526844132704,0.5608563948246915,0.6473552038643564,0.9432799538472096,0.7253848009021772,0.6848043460103554,0.6382092515824707,0.5837791824636294,0.5445632644998156,0.6263520617838255,0.614591372915834,0.5848258490185357,0.6259185626523002,0.6703765342827203,0.6844604574903521,0.6544080152361337,0.7779878030437195,0.9746716835518938,0.7722987328891419,0.8900979199752344,1.0207808233527482,1.1685147664613744,1.0120645016364236,0.8936441227962733,1.6021593680888346,1.3876400845957686,1.0255652994284021,0.9707503735237792,0.788376504203577,0.8457801073114913,1.1281175514074269,0.7497195916345991,0.7551059521515011,0.7862849772626328,0.7195392767736517,0.5720605897033273,0.5828423122697453,0.48359270148267924,0.48977711275618596,0.5273614648055712,0.4561383892965166,0.6962091063464229,0.5625743137309018,0.44054536935002025,0.4309210798874014,0.8858280714951494,0.43371860114536825,0.750899220977465,0.7378508973032176,1.6679096357596783,1.922967233553065,2.6308705790395392],[0.5854210130568496,0.5851822799114162,0.8721747680490062,0.43842589511118774,0.6213251107642271,0.5548469830780332,0.5339271174644638,0.5579860019113946,0.5731178186774731,0.5327349314961405,0.5428865361479043,0.6061511617266655,0.5259531463979555,0.5184850998649615,0.5627115530097424,0.5590908943587868,0.5768179252799707,0.5850504408493093,0.7063840113809624,0.6626514047358235,0.7916106384110604,0.7580056916010456,1.1161994403888573,1.1687132219010556,1.0882921847572113,0.8335641916048838,0.7359275045709511,0.5988364047477042,0.5841977317108438,0.5592662061754132,0.6053086899835665,0.5665628764303905,0.5922614314632171,0.6101853165209563,0.6003941390982095,0.6049112463734349,0.6032574297252551,0.6186940331476576,0.590164473938229,0.673871536308623,0.9209387195811468,0.7566394248703985,0.8005689206371853,1.0063931097744516,1.5486748925797256,2.352342724600894,2.5361976850247934,1.684354010965733,2.260536132420118,3.2465121419233323,1.8727534189525128,1.883410580513993,1.1514336202016462,0.9991049057696251,1.313028538002932,0.9817628565359998,0.9836879248029886,0.8300597964044579,0.8356384879413582,1.3988573066791352,0.9377551285994489,0.8416923282166368,0.7332994978409915,0.8784315129235053,0.8587758378006795,0.739259414207286,0.8334472079770635,0.6451286971747979,0.703374225098289,0.7450150168982791,0.8656564283731393,1.0406112506168201,0.8030680059262802,0.8165873552655073,0.7133609468181936,0.9567774026275756,0.6775185148332874,0.6550879933098632,0.6865636817386647,0.7241828232919563,0.6167293192790999,0.6141962915604648,0.7918792855713365,0.7698201417273629,0.6449542622690966,0.5453355890886508,0.5794582994163071,0.6543250441783971,0.6226942715233506,0.6467298513434103,0.6534198990401138,0.7354439768768595,0.7300819445236211,0.582874738329315,0.5748203524816945,0.6524516698373185,0.7242590163919868,0.6275255356187711,0.5788435139431748,0.6298459916171025,0.5755904409938483,0.633700078355357,0.5730174250156899,0.599176641218618,0.597676689153841,0.6064445135327821,0.6621172740511863,0.7300657041809149,0.6247210603474518,0.6103289605696274,0.558162078716236,0.5447187127670324,0.5351273812459703,0.5140444424727707,0.5716301682741632,0.6143102034835444,0.625591255868679,0.6412276863385676,0.7240815072113546,0.6227178062957817,0.6513240889148858,0.6443352215877036,0.6475952765818576,0.5327197660121926,0.49322229596104855,0.502186997466565,0.6373380988590523,0.5661130375958386,0.555715725643059,0.5975874881593499,0.6668131035845448,0.6797960425544978,0.7200181936335115,0.6594982169173658,0.668141897731999,0.6684018628632078,0.8107165600616655,0.6146504747987687,0.5376611566510552,0.560720518019899,0.606686712061285,0.7177784866827989,0.575232562356315,0.5470186732917864,0.5995140311754936,0.5808256001666925,0.5808059390440012,0.5737761937908723,0.5314376800391204,0.5410659699428393,0.5426945108252894,0.5936604749739008,0.8204380458063723,1.0617990768693946,0.8976096019548451,0.6000918742560534,0.5612826355803914,0.5300431647619478,0.5607739945317914,0.5764731181871066,0.5627449205060857,0.5529583648580321,0.5821092449898552,0.5717295026584257,0.6327681740275708,0.6405518010687035,0.7827836196895083,0.963837285653368,0.9802481248763524,0.8284512209513843,0.7185480437983521,0.5978533648687634,0.6108320548108525,0.5770525789594533,0.5727674341788801,0.5762653064786003,0.6018808778235053,0.6110653184891767,0.6136647051542236,0.6170222185203309,0.6998470479350256,0.5965830866684331,0.6597244090422884,0.7471173449765809,0.733658261978724,0.8259837196355978,0.8820581582590808,1.2701647897022112,1.8424114282264965,1.121354771422045,1.1616019541935703,0.972346666835699,1.0135441772962739,1.009534640481153,0.8528056536418643,0.8940590893146227,0.8112462945721098,0.7702566859734454,0.7057376826212933,0.7052923753374055,0.6334125863687268,0.5610807973511731,0.5606601855450962,0.5681853728083506,0.578065793019643,0.5657916171922216,0.6119867459431569,0.645845483725501,0.6046871185637083,0.7244706181332736,0.8100994464256526,0.8209271886280006,0.834571018345178,1.0456293582459324,1.1409433759825676,1.0963030624754595,1.0623024560159045,0.9320634539968995,0.7783146951992517,0.7978751164020504,0.8252283609394373,1.2138548818100692,1.0113881380683247,1.2754223666248037,0.7607654157295729,0.6804330004922324,0.6976942703339837,0.8158388714351392,0.8834570245167042,0.7514480644228365,0.8644870497586415,1.054712883772634,0.9857540937361012,0.8627206992405334,1.2504797684360855,1.2554995404293616,1.0703290827613816,1.321845084390659,0.7902531549212298,0.8336397572407069,0.7480429628297108,0.6964205207861939,0.7255956826149228,0.6762533102792988,0.7050512414843434,0.648741291983353,0.6754304576134512,0.5954111823854846,0.5860052137083147,0.5526056586576311,0.5705009561084866,0.6309405803767056,0.5840132038108139,0.5970123467697406,0.6735579407505047,0.9608446198593918,0.7576976677885469,0.7169636230121912,0.6842773947847184,0.6223925029067988,0.5687305534154782,0.6580986345617127,0.6407357128872081,0.6165286511148579,0.6434528322960121,0.6862600334301454,0.6970664830202011,0.6589619846778227,0.7782009173242566,0.9725282021939637,0.7743273428617756,0.8872954630045259,1.0166935580740175,1.1639003099562752,1.0163076377735865,0.911219777395511,1.6378900741044238,1.4871006516186864,1.0747276725704833,1.0777558587366667,0.8616974098678215,0.9776546296001165,1.3375370197941885,0.8791871680009796,0.7861925385396259,0.7076625050361768,0.6911761424566405,0.5687965697371662,0.6076222901076477,0.5376294445054113,0.5671474453807694,0.5786586684159529,0.5227727674359285,0.6924620945867509,0.6047119559447436,0.5460689288956346,0.5010377201567178,0.8418439092012269,0.5225509247053414,0.8392117388294721,0.7137312698329511,1.57690583901767,1.8039613446999698,2.591086116093281],[0.5577684618134771,0.555513044145613,0.8656023370551483,0.398170905158164,0.6021764316105022,0.5170003758289228,0.47367468123151946,0.5063105379935742,0.5133196758392015,0.48523650261303125,0.49596426261026616,0.5687997031045241,0.49586905659596575,0.48951050482080816,0.5505067102171329,0.5296588397313915,0.54179549048445,0.5592573181940965,0.6831521489875424,0.6583903492460368,0.8359062031943423,0.7897614876488275,1.1692005480926448,1.2431098342126388,1.1204234810427347,0.8624805366418156,0.7146588253538196,0.5755236681933112,0.5486202729703529,0.5252881380842835,0.5748335568357914,0.5141969735491329,0.5354251033961455,0.5587969563111269,0.5426367382547831,0.5719629792098999,0.5455157756322657,0.5813776973586426,0.5555239866123104,0.6541030476767755,0.8963364640336784,0.7541029544858657,0.8288577682105464,1.0599158188285336,1.5723746266587737,2.2729344103520734,2.5712610150360176,1.7104675199153045,2.125473198084643,3.202652143947392,1.9125694993033733,1.871978088023401,1.1698406447417895,0.9983499794341574,1.2555665332997454,1.0260542059714695,1.012231150987718,0.8827943320582374,0.8535842961153195,1.4585450952523933,0.9450830297832449,0.882232196083824,0.7471398850806107,0.9738676742958725,0.9458723795336761,0.7475543078997162,0.8686697731075529,0.6575923371543041,0.6968691258952423,0.7693123856690501,0.8526768637526566,1.0697285308575766,0.7857325413682787,0.8403266549804327,0.7373250397000388,0.9954831141056083,0.6844692587108211,0.6522926776587774,0.6725710992782201,0.7288522208054371,0.5697744069463768,0.5797089563011343,0.8197350072144993,0.8192622761922971,0.6554737457188099,0.5255168310243284,0.540174656885188,0.5898749689906828,0.5984679000263272,0.6019629735561085,0.6370136299746265,0.7655231413193193,0.7385984366323867,0.5714224092166502,0.5469998241234558,0.6327535531236483,0.7156290209487913,0.5925836471944486,0.541972343176437,0.5741520640147092,0.5143325953767293,0.6072232633958493,0.545716357135962,0.57412755047145,0.5896403410099331,0.5852697193035991,0.6692408980658836,0.7659234460132621,0.6407756113053532,0.6380732436791321,0.5603479103861161,0.5191798337331273,0.48907483567888443,0.4618898260050417,0.5322173783684598,0.5718924278542761,0.5772552904008355,0.6158931468590133,0.7152388353997695,0.5903162404412173,0.6443805419667721,0.6086344836953623,0.6126301283902601,0.4724113959148216,0.4382356477632228,0.43522995582563023,0.5972255275778359,0.5463396170050893,0.5651045556745982,0.5983148707697578,0.6787123901597014,0.7137752731051774,0.7762399452647798,0.7008611224228278,0.7029003336359321,0.6610457882698049,0.7761213463884487,0.5916691913681499,0.4742100745301781,0.5033072066177686,0.5885348213919266,0.7784051035819025,0.5983140754856467,0.5250961103404372,0.5497329463443087,0.5417080067124552,0.541509075584963,0.5273019243216469,0.5059042951366376,0.50755408689013,0.5090137570405263,0.5383333183134745,0.7958800662775001,1.0430293441869645,0.8696972081921183,0.5550636534453763,0.5124042461044357,0.4955774102832571,0.5326501508415996,0.5580981205204754,0.5381134649166535,0.5142837118037017,0.569154052585767,0.5996986843753338,0.6382981378167614,0.6841944718209151,0.8336562479326274,1.0443825472141748,1.039788391980676,0.8360792951633396,0.7445083325664502,0.6007387221699254,0.6207032055370763,0.5863991126113383,0.5668310806705008,0.5738711484628752,0.5823099630652406,0.618834023368059,0.6268790388486187,0.6041889118389174,0.6696366892348938,0.6099029776437953,0.7109035788355142,0.8264985558707263,0.7832932545397905,0.8632193418462034,0.8349592550339701,1.2708970170701153,1.8547490559184048,1.2450793571112297,1.2562966390157095,1.1169316204370159,1.1221458966223052,1.0991403495583925,0.946311720823806,0.9959936332502238,0.8487992978783537,0.8085723297668292,0.7426454089580853,0.7059009200717725,0.6703796811634194,0.5855947436079401,0.5704208689917128,0.5972197929563763,0.617199337045757,0.5914974019964865,0.6509096333430703,0.6858841229090625,0.643769239382453,0.7431811109148491,0.8360635209985123,0.8574724086544403,0.8492935194208692,1.0641667729567266,1.1785266389540872,1.1411655812995005,1.10386216579456,0.9831497561822127,0.8209261418584032,0.843261116920058,0.8735002445375133,1.2746578393074817,1.0497405844446277,1.2765187163222793,0.810867294072753,0.7393300172425475,0.7348513034156177,0.8620298038224314,0.9370224204925991,0.7884511433645398,0.8993816727901025,1.1419930479314628,1.0246351935555,0.8894987887169377,1.281567953080477,1.2928551526162384,1.0994081779612825,1.2533530533750439,0.8287526513798041,0.8761250515679345,0.8086217063150333,0.7423032242023917,0.7654019792997344,0.7064971745571721,0.7272219983007032,0.6760246816583542,0.7218358628064425,0.6159492331884802,0.6049121201256604,0.5784590088592876,0.5832719459069635,0.6266887308042264,0.6002294897118383,0.6336426229626938,0.6988742792341265,0.9833865898987392,0.8020691400424851,0.764183803443522,0.733525854606487,0.6696408722403152,0.6177389156024147,0.7273729374675821,0.7101850255429519,0.6634415185292131,0.7023044874222877,0.7477397464552592,0.7508245445565382,0.7117716404676478,0.8427709475468032,1.0280026185264732,0.8086134671364054,0.9132833882019377,1.1043989459352044,1.2100992138419886,1.0438632554307739,0.9016630865635926,1.7189224648869097,1.4342256378819453,1.1216682662979216,1.1102384529060232,0.881579080285777,0.9922457598686788,1.324310905424125,0.9044564869219947,0.7956300314121721,0.6078393339515598,0.6607023184716018,0.5707675243848597,0.6167876024652994,0.5485188454614506,0.579943726990477,0.574586910696304,0.530174952405237,0.6908547802811905,0.6061510618910286,0.5500975605073606,0.4998219947854475,0.8612462245929068,0.5097638004520055,0.8456875753087114,0.6992678177816206,1.5520738380728207,1.787699242162473,2.575029596478809],[0.4527175844889019,0.47390356301806164,0.8047866588373942,0.3605143336684621,0.5603196175063474,0.48782420306324764,0.44022430782648947,0.4968653766465307,0.5208894305435904,0.5196584956694437,0.5373316073825251,0.5835176317215117,0.5423393163071266,0.5473707520663689,0.625451047628486,0.5671632594193206,0.5763718201841668,0.6023380324354467,0.7139947618230225,0.6870500490840746,0.8599789586252121,0.8305458023241464,1.1220332392233354,1.2037727781532186,1.0611210514502645,0.8629860305211471,0.7277257311938495,0.604048769705048,0.5828449473945888,0.5531769236756051,0.6244306545045287,0.5376655085417853,0.5646734874910867,0.6042109889030415,0.5768785715995014,0.6050446191415825,0.5686200062236709,0.6221815226112963,0.5996593689141816,0.71473887655463,0.9105116372676633,0.7733897869877866,0.8687238392513472,1.0654280507198788,1.524484866132244,2.0571195147546297,2.400632300180975,1.5904230320832993,1.9798502042289394,2.915651780052555,1.7496886437116397,1.8117368549502055,1.1650253120565817,1.0372759045301498,1.2521269166419973,1.054480435502853,1.009979503946184,0.9319902239161435,0.8988826813628634,1.508344736487243,0.9901678246602023,0.9250894678522781,0.7859655925101525,1.0498506825872773,0.9994189372425564,0.7690474323155795,0.9170405234634864,0.716365177859742,0.7515826074774243,0.8403560909828218,0.9090693529634188,1.147505395582285,0.8525364001967265,0.9333663248556651,0.794964131702934,1.098733730394246,0.7308930296826937,0.7029146398856596,0.7093810947503042,0.7628023964153676,0.6082919522109383,0.6500349266839652,0.8555955001657052,0.8908851317995766,0.7349337543813352,0.5785766377470295,0.5907373444583129,0.6291149991858109,0.6251245470488782,0.6302552897279454,0.691407532690605,0.8646862400681404,0.8251500762274854,0.6512039822263961,0.5993986688478643,0.694373540349713,0.7672990891961019,0.6167410170218103,0.569390863594682,0.5764567139337463,0.5348124811770526,0.5897587570854875,0.5746339272721814,0.5829813806304488,0.607261160942203,0.6159236199878145,0.6829095949785762,0.7896988255278024,0.6513166216698283,0.6366967187149142,0.5435490433743295,0.5309098319466202,0.4939383988433928,0.48390560927047693,0.5623021503232558,0.606227165202761,0.5831596449306955,0.6297674433605261,0.7653918311002006,0.625628608426107,0.691807908453493,0.636302855971021,0.6207927981167087,0.49517263854473,0.45893481897568755,0.45548733227989396,0.5190857949480491,0.5587547878861635,0.5783903475224328,0.6254122612690337,0.6860597172866926,0.7384875685743748,0.8237559821408335,0.7468291295475689,0.7480540671916692,0.6687145453044441,0.7928208956590777,0.621993339946255,0.5134183650414442,0.5337731070708018,0.626148047106815,0.8615546091709664,0.6724956838370924,0.5741670812328398,0.5939547361342116,0.5770857582665107,0.5713204977932187,0.5529344712764922,0.5202016687467426,0.5275288208650081,0.49108989942389225,0.5487913711651919,0.7712951370098602,1.0514567204908414,0.9222119561619175,0.5607024701493315,0.5235532436919689,0.4884524187809318,0.5357774687681253,0.5798708096513012,0.5631013000524878,0.5464665270893256,0.60431495438156,0.6698720986352248,0.7004879875385049,0.754660782049479,0.907023356810085,1.135682420916955,1.088045089713468,0.8718987911914408,0.8021830508607255,0.6516791665753662,0.6761697429257945,0.6436481498214811,0.6194511677878253,0.62544159076859,0.6193467563147741,0.6467170472245064,0.6805434993950176,0.6217590234217835,0.6979311395866871,0.6407150268234102,0.7637024944804869,0.8841066184550904,0.8483483425779923,0.9168894167457393,0.874206219739078,1.2191606445868646,1.936967420617938,1.3673899059271997,1.4167909960275615,1.3404403146310615,1.2321696605672847,1.164157390307719,0.9974158689294025,1.0180225776904595,0.8597989617681508,0.8149056559187391,0.755577821393739,0.731009893456113,0.6737893829348834,0.5968463054260369,0.5812209307386119,0.6006084684125513,0.6053975734477351,0.5699558134492894,0.6234216305231935,0.6608452312117679,0.6080873949264283,0.7019761865606163,0.7919095200533618,0.8070387777688625,0.8021914406710554,1.0096244429328343,1.1232491579380042,1.0794854617931897,1.0647268108617522,0.9401459927516399,0.7892779668426387,0.8101942410637969,0.856559940229569,1.248902939856339,1.0313322123791393,1.2562805030324162,0.8043455256244789,0.7409308866443126,0.7373383171119862,0.8877903630870407,0.9387169184846921,0.8100981982029125,0.9041974616221368,1.1524720621732745,1.0288265373063883,0.8905901398424738,1.3389375942337183,1.2752465141230893,1.1153981975117857,1.2662131296804748,0.8301366350310828,0.8846063814318628,0.8178086332304605,0.7507855498947734,0.801282428620326,0.7220014754672783,0.7652336403485296,0.701494368309188,0.7284575872833953,0.630239624752225,0.6109336789321103,0.5617192784343907,0.5571162093045112,0.6071462690741464,0.5641063330283322,0.5952529745164397,0.6569778901589434,0.9487675611366478,0.7505834703633915,0.7126110494214696,0.6875108428669386,0.6362259738057234,0.6041849390335785,0.7124803128757287,0.6765365143466119,0.6438602478818692,0.6974924867973864,0.7383020484405277,0.7352223436577776,0.7134416550260971,0.8415677087758242,1.0183428613288317,0.811602525001918,0.924042682454865,1.1242896623688485,1.2169199226828342,1.0591788891931342,0.9141221464814322,1.7238256012754651,1.4088907866676181,1.0888013049969345,1.0510497796907081,0.844618996626891,0.9219548363727423,1.2362911249180055,0.8501194332526172,0.7870178504729266,0.6674306237807589,0.6960783107809884,0.5761374631575998,0.625334417294609,0.5270802435066868,0.5368015815243462,0.5693871462075203,0.5072712752270465,0.7224609901214017,0.5899455823656028,0.49270001907389266,0.4490729269061433,0.8775176095032273,0.457082827100331,0.7728732714648207,0.7580219068806351,1.700785702337605,2.0357617699830914,2.8051684987978645],[0.5428334916885145,0.5620956288373958,0.9068077515551406,0.44871877146934785,0.6082854724411557,0.5507287440490207,0.5135142474458243,0.5663079655891218,0.5788531051414005,0.5636388712651578,0.5773370189554827,0.6224266991742683,0.5694267335914741,0.5777310129245016,0.6329496143461867,0.5921024249286787,0.5885394891306421,0.6053436538196119,0.7200926051815296,0.679687729669342,0.8471302508416746,0.7741615125788742,1.1631361482397264,1.2182238699832406,1.10367469106901,0.869383521042791,0.7105864245205713,0.6000294852939124,0.5795188700495717,0.5619196661441348,0.627688222535101,0.552952195478849,0.5701060729370354,0.5961223918867878,0.5694409036306889,0.5962205975512685,0.5625743150205114,0.5898090810716813,0.5557839439032188,0.6391096629225701,0.8807154512801865,0.7400612676500388,0.8080077218128315,1.0338544407368382,1.5461015912600886,2.2589453537689064,2.4959173636639367,1.6471369946532497,2.126398624748428,3.108090966281215,1.8049115875602406,1.8255150565975802,1.1077847899848459,0.9829563555856525,1.251112086437846,0.9802737476842911,0.9761089237014023,0.8708426063998301,0.8296983287012839,1.4278207394175333,0.9201229873382093,0.8713228826179399,0.7521296570366027,0.9674897146385651,0.9313545924263728,0.7471586037094629,0.8902877127506847,0.6972649264444886,0.7378002593654737,0.8099592032073799,0.8853521317918877,1.1097859764783529,0.8192926843235333,0.8699782836213303,0.7785088221780996,1.0020992123132564,0.7148354793091908,0.6826930443815304,0.6871795238250863,0.7240978172500031,0.5621335094719463,0.5760769733484898,0.8307227257394835,0.8235339160469026,0.6596737069769908,0.5328603128948929,0.542101253685172,0.5858470045920261,0.611985472810426,0.6230458599613358,0.6783465749422898,0.8072705149415613,0.80003588315385,0.6401744278813817,0.6096127395557035,0.6954843428731369,0.7575287479563588,0.6379686516337071,0.5949888425464366,0.6019799279783453,0.5575036117583672,0.6267933815289469,0.5870168952987256,0.60634866872518,0.6032270414190345,0.633173454694003,0.7065835187192936,0.810784470357868,0.6887081458721093,0.6634729144892308,0.58910952497848,0.5644261867479791,0.5399250465381996,0.5149029137013189,0.5976398035384319,0.6288392296937498,0.6215685906396484,0.6486133377205722,0.735835839495881,0.6508033613664292,0.7092376088711319,0.6797838819184867,0.6863798007574894,0.5349769068519625,0.5161564747131344,0.4922687792740177,0.5794990487827619,0.5927933287884789,0.611527634847929,0.6359337811143889,0.7019919154567494,0.740499075501994,0.7962795263060716,0.726061804106259,0.7275039231249776,0.6731238427435573,0.8110620175878254,0.6240543732055606,0.49915487817664916,0.5087954635630422,0.5895159270265818,0.7655013506573544,0.604183159686414,0.535216410327521,0.5437038846294507,0.565506318340257,0.5740252798656976,0.565960426597658,0.5433981853180969,0.5668102692803734,0.5400503831878808,0.5885888293562456,0.8158065454894982,1.0288487980416405,0.9015211562314315,0.6064968152424346,0.5703238122168899,0.5280934127273569,0.5656147153132222,0.5979997434879555,0.5559250474638174,0.5274432555626439,0.5700064356706886,0.6006393619039843,0.6169560552225113,0.6659472940075518,0.8254222332262685,1.0305073235425728,1.0347131972807642,0.8377509349532315,0.7619138165447963,0.6129219909065586,0.6278817375204702,0.5972759311923738,0.5814898491318835,0.6018606881435064,0.6064193612071899,0.637121813637189,0.6372153410880992,0.5913456108277308,0.658537086427196,0.6179759210340293,0.7132877486053625,0.8069974396654706,0.7771404804324837,0.8366296958450825,0.8168331177510048,1.1679845868454684,1.8783806955571132,1.2029816373025615,1.2396105963980164,1.1818721201870082,1.130238025591065,1.0997173234992297,0.9347528606151928,0.9487330615183475,0.8476891950582608,0.8109698730948148,0.779060175827885,0.7686075628914185,0.7237257694929153,0.6708075490437434,0.6593210637538801,0.6882159349598537,0.6941688441513191,0.6707153070631777,0.7368926036973145,0.7572644312906801,0.7011583477851074,0.7858560207553658,0.865917899160214,0.8591422643023847,0.8461874636762595,1.024865785307824,1.1343533104410046,1.1210129194049083,1.0592026821284872,0.9840111603479561,0.8525431072624775,0.8608312193292165,0.8853836014829203,1.271088983046826,1.072582214040858,1.2886492813878268,0.8407671458391723,0.7742816326672571,0.7657623941442301,0.9046823219452664,0.9375340152120952,0.8369768284829687,0.916172939084439,1.1244426514015708,1.0160733605160093,0.8841465114180774,1.3198715576363618,1.1947467775264753,1.089917631296806,1.284518747816287,0.837623555796806,0.8833300047162124,0.8241869311535646,0.7951356753646102,0.8571743508389826,0.7731120446827076,0.8141296499619676,0.7628221077638025,0.8069435900065857,0.7103017066133028,0.6865742448622179,0.6482317713741603,0.6435672718297133,0.6804832829583893,0.657090542765515,0.6814482926023103,0.7151196675444946,0.9608509837913558,0.8133108507049692,0.7719046284251986,0.7594191171166601,0.7041302060637367,0.6817011550577892,0.7858158972711395,0.738327560467113,0.7358295835266095,0.7650929248831966,0.7954348329171901,0.7990829934246236,0.7800703935939803,0.8583413144361641,1.01913991874191,0.8617813562262499,0.9373494081321654,1.0991202824375919,1.2057051856631382,1.0829118154495896,1.001804544845333,1.7537209237881584,1.5919182718822815,1.1338664264150762,1.1244674719585486,0.9440068504585102,1.009607375941444,1.3671828226663958,1.0081770526459652,0.9211761159916754,0.804781554664675,0.8013760977945227,0.6703687167082426,0.6819409261475374,0.5913766879093391,0.6204608762258579,0.6349617476995906,0.5948233786541277,0.7800287060343638,0.6557134929016957,0.5895932764899368,0.5439681213247205,0.9157435611182054,0.558966331268636,0.8127084903628286,0.8591932513946358,1.786952086083167,2.215578769015286,3.0558434003027113],[0.6326249266356431,0.6420934292941292,0.9993342753303543,0.5010501044158052,0.6692345766699972,0.5853058121369853,0.5610305148202308,0.6094168131816571,0.6125301519691199,0.5886441275099675,0.6034751907076013,0.6545789079241406,0.6067131191303664,0.6053860557854023,0.6629112822410637,0.6426225271990551,0.6432990888097364,0.6666169427181868,0.7929696607581014,0.7627416759785816,0.9505484737574224,0.8590597727627042,1.321014739988825,1.376010377105407,1.2330509067675006,0.9666517745889555,0.7816955198121276,0.6730643921415786,0.6388990609582827,0.6250093613462179,0.6791329408215862,0.6085518462956065,0.6234777530251192,0.6457560036194971,0.6290657877663454,0.6587969210604465,0.6221402152680734,0.6567110778484184,0.6205958002789603,0.6855776279413919,0.9334288724960861,0.8103628561918925,0.8777299191917086,1.1051629884203944,1.6338739739886783,2.3875108816624357,2.678848868903858,1.795633312761048,2.1643771084069607,3.2860079440577588,1.9751929199014537,1.890219145056711,1.2119552701231606,1.0137248292217673,1.2595381372071859,1.0794897194987605,1.0660165793519456,0.9382832306816953,0.9104452054004923,1.4889738477597863,1.0016820612662463,0.9562386561389984,0.8350441464344951,1.032020963664482,1.0050481142935563,0.8399527371334342,0.9727218395936884,0.7704033542637327,0.8044771623718151,0.8410158941204917,0.9203094888943614,1.140417861576362,0.8550074541290378,0.9097956392115509,0.8342065883808887,1.0268335436552356,0.7922105629202629,0.7563010855469426,0.7656550657725593,0.8057784700078996,0.6214959883007982,0.6259171128277002,0.8532594234614254,0.8811852031841477,0.6876918158846799,0.6015943231759147,0.6130713250251153,0.6333550732691885,0.6885079628192811,0.6891454895015778,0.7385863953602456,0.8421523694946645,0.8354422393100873,0.6800664923575409,0.6528500613182737,0.7232878057335778,0.7838022454243946,0.6763677670627882,0.6321694577327752,0.6324336279118546,0.5989769248241523,0.6796166180432038,0.6428662623584094,0.6533045148365039,0.6506179863012961,0.6675778975422612,0.7550306905382554,0.8447407738992169,0.7198516741642135,0.6857160714195236,0.6260545948439801,0.594098401580446,0.5789121777044679,0.5548472168081034,0.6495736205736322,0.6756849921453014,0.6888436848222808,0.7146712089108724,0.794210030926298,0.7162137461182334,0.7570593553974545,0.7203564140704454,0.7283956407550055,0.5732172268690622,0.5542658874047744,0.5335274252215255,0.6363441509882138,0.6225775564463031,0.6460193299639252,0.6684647928981192,0.7341199761179782,0.7751873566772856,0.8277236379651116,0.7609027376110518,0.745867840982741,0.6994509904565557,0.784262239500347,0.628451754381567,0.5229468292503486,0.5638472063650213,0.6768661239076884,0.8225671135168282,0.6823460492056301,0.6123970412543049,0.620300147246916,0.6315496484047843,0.632253617186224,0.6135456325429423,0.5946961672183294,0.6015079384353997,0.5816874983286912,0.6083270747012071,0.8476098049050074,1.0269913587360422,0.8690992821117196,0.642075383392455,0.6092787935617466,0.5717276324300183,0.624601546161928,0.6440464723666479,0.6070298197486056,0.5863043666318989,0.6306035680842421,0.660030257672075,0.6624588999518457,0.7024156466239987,0.8438382302510266,1.0407632737495445,1.0417901007153456,0.825165517673978,0.7586829341589849,0.6323058729289566,0.6549884507819301,0.6338321369029823,0.6307798286725117,0.6412771281986115,0.6553746925963725,0.692390742637288,0.688964169490049,0.6472690702071867,0.6885080368985224,0.6650709806541556,0.7479600091726493,0.8534022718035285,0.8044694977623261,0.8718591232181663,0.8329337795138904,1.296097731384881,1.838833664486053,1.2345832756620785,1.242285757560795,1.1473482323322994,1.136893501691639,1.1207337667539825,0.9734037372722304,1.0144741170100198,0.8794210794265934,0.85024835718278,0.8290118989419665,0.801350719757823,0.785925736202302,0.7266957820879995,0.7043279671910148,0.7533605897257454,0.7684039641425066,0.7380515409997381,0.8242520375780864,0.853085208899942,0.786655986454959,0.8682937221741426,0.9593616155254308,0.9524836065534498,0.9242185524636563,1.1027546137184396,1.2254962453986942,1.2320877538119177,1.1453075997446476,1.0884815763220257,0.9553880303105899,0.9544214188390268,0.9746983764431578,1.333091279948046,1.1394216369800034,1.2987514124088368,0.906096704261661,0.8451309559734218,0.8165362962372661,0.9582452512765722,1.0036890569996615,0.8835198702421104,0.9629635426229038,1.205942960471163,1.0728406516529927,0.9330671332125313,1.3523726991573284,1.2410123476426191,1.1372107489573433,1.257467097869523,0.9002330872005772,0.9352196309987455,0.8823524742390854,0.8435593770112637,0.8841666469830677,0.8112940792595884,0.838135370771222,0.7988024471237221,0.8824492857586235,0.7572544719508146,0.7327452223884842,0.7172041733166793,0.7108408957840177,0.7270958761225685,0.7240128459172809,0.7552024299321911,0.7763382056448906,0.9989916171418358,0.8879245512307744,0.854855360625391,0.8527874570224959,0.7912364925237869,0.7530369515660628,0.879369134644442,0.8341113185714977,0.8233433229706342,0.8446297652382033,0.8845956649507677,0.8845510887004441,0.8525420537782119,0.9245185154793792,1.0901767886246088,0.9372948109630252,0.9853655997032674,1.1861123704713823,1.2668703908890218,1.153152529467835,1.0846049194063128,1.8573780025727409,1.6738995201638696,1.2584354164650022,1.2539546516477036,1.0482247914176954,1.115389582480649,1.4964308052069042,1.1668494994595406,1.0658256735483163,0.8444419437640412,0.8369379405905217,0.7233599634808313,0.7237796128288471,0.651101059440549,0.694904096793735,0.6731093262960431,0.6574923345819048,0.7926316140525119,0.6892750496533244,0.6694906466168539,0.6071230985895395,0.921509776384232,0.633460220092126,0.8940516068255003,0.8543095293565365,1.726889351463096,2.152022866668889,3.019234199476372],[0.5920417970747159,0.6099201127096155,0.9868234150380947,0.46895741093791116,0.6597158659661639,0.5606512327842762,0.538160816370026,0.6052457869269572,0.6041383250714237,0.5984910970764067,0.6163826384230829,0.6599522496609903,0.6259940895893235,0.6270689663263814,0.6952673804143519,0.6680280939518825,0.6723567860682381,0.7018683073338704,0.8324736397298631,0.8046921651069046,1.0131678392954386,0.9256959275546818,1.3576786900174833,1.4280647332055798,1.246579889979079,1.0083329733950004,0.8173574642999805,0.6981548939890495,0.6654985502053299,0.6524101262682087,0.7137190571283253,0.6407862693017959,0.6575179712339807,0.680425201657201,0.6614334532188162,0.6901486504576053,0.6561603145018142,0.6987782369631687,0.6614811741095811,0.7616458730547955,0.9541849951830174,0.8567288713162766,0.9466777735918523,1.1470835026032853,1.6480875831566326,2.2848510545346943,2.675075007845051,1.804566899560187,2.0542261419040795,3.17192131254052,1.9706404664705885,1.8717603409740975,1.2809693946640042,1.0522061160548142,1.2563677073684423,1.165262473562263,1.131148712891838,1.0161810004561014,0.9930007638085466,1.5753994297320528,1.0719777858304267,1.0299085998242756,0.8971573423509096,1.132937750927446,1.1004386212849846,0.8884693498784602,1.0465104949938697,0.828241880841226,0.8593726842584202,0.9036850827876113,0.9873902800556492,1.2282796971328973,0.9139537734688148,0.9765550771424416,0.8821495956165052,1.1071156069054684,0.8322268801108124,0.8031690077032202,0.8125702119879422,0.8621610054027017,0.6842235579945231,0.7031524327842328,0.8925337206386561,1.004888029985997,0.7901685679922825,0.6602334252293088,0.6639486426086216,0.681849944275546,0.7242282484189247,0.7279698305686481,0.7767987851878752,0.904459183959794,0.8876975227237717,0.7219349740311242,0.6826050320384903,0.7582372886716489,0.820953267001432,0.708991218750517,0.6545762604663359,0.6383718649186612,0.6295335350468877,0.705622050289891,0.6967381797679474,0.6979136941003969,0.7206177043553883,0.7204807703275955,0.829047069553138,0.9187933101571745,0.782276328731303,0.737144876942432,0.6561240713343517,0.6278597538657869,0.5896785049061575,0.5725896790604653,0.660811013596615,0.6814387076228298,0.6937970491504983,0.7296073475067748,0.8361752296409628,0.7385844339389755,0.7928521484415224,0.7338012435485973,0.7289767906762135,0.5713608071185544,0.5482606881861692,0.5415277226903502,0.6273602352279986,0.648369736535809,0.703601342334308,0.744125289791127,0.8150344224550847,0.8856770234476824,0.9546664206999399,0.8743312045211646,0.8411224266876085,0.7522320804769099,0.8241509495371704,0.6570557458181329,0.5379524853091234,0.5734766579707604,0.6689893446059136,0.850181340768854,0.7189104617262784,0.6383890975827619,0.6492493771908524,0.6555760210680447,0.6527521291112267,0.6381949727070555,0.6192826253968913,0.6107407624406197,0.5914375598428031,0.6095841560781851,0.8591120170538081,1.0140957337084446,0.8755839515855307,0.657825716131718,0.6286736010019801,0.5925470722088266,0.6546615078254663,0.6920544602299372,0.6517036130793967,0.6349075134120388,0.6644401185613028,0.7337808769379875,0.7491194322340132,0.7766390934731338,0.9449805717720675,1.1596888396626945,1.1279778750202827,0.8701522754036286,0.842915025184308,0.6898051089040241,0.7317288382059602,0.7192909388862923,0.704513857888925,0.7138841714334221,0.7074172179011349,0.7492494736966655,0.762773398631509,0.728992804081037,0.7581544368286954,0.7520925437808997,0.8647714141837355,0.9920724199715883,0.9257009515253098,0.9896689263450953,0.8912665703277262,1.3253019072467391,1.8710482686449912,1.3912570652110234,1.435081760413191,1.362590250436857,1.3054171974528221,1.260632611925975,1.1248285552321085,1.1580387106008152,0.9733048811779643,0.9461995599457393,0.9137227203559887,0.8669229307776171,0.8585312384775245,0.7875969426148235,0.7567814089601178,0.8059785326717679,0.8178145742875039,0.7696242931882842,0.8421910796846178,0.8804855049093637,0.8069522866460309,0.867044893169294,0.9563200616016064,0.9536966920828495,0.9149990897169771,1.0895628310217642,1.2227101856597946,1.2324325386038897,1.1556115538563023,1.1129853297519088,0.982156567137046,0.9824346040900687,1.0242934154797592,1.3778860819252274,1.1894045395089854,1.324064284432228,0.9753024383962774,0.9267088436938061,0.8878402388087211,1.0533897929596021,1.091663500189814,0.953139030206183,1.0457645843310317,1.3140878732497252,1.1527809246525462,1.0135531235962187,1.4277066671821446,1.2992615522309103,1.218826453214683,1.2589614333889547,0.9859601878742914,1.0155952699027966,0.9739098682651999,0.9194397171058646,0.9623739885181428,0.8810180514002712,0.901412600134086,0.8675623325657303,0.9415554072260498,0.8112306256806364,0.7762026367440474,0.7556901614329206,0.7394222684812833,0.7501803913088363,0.7429876398502043,0.7774680050401421,0.7903313407143752,1.006011777031449,0.8937306330743258,0.8685443331838925,0.8748826752042815,0.8269463481833688,0.7941713518548744,0.9421562477746289,0.8793859651891531,0.8617870008406291,0.9031312025431681,0.9450166453574703,0.9318718542210087,0.9087369857167825,0.9894156027979985,1.1445864786258944,0.9857242889714831,1.048338840137839,1.2831219011595494,1.3274937813182306,1.2102729823174534,1.1143163337929138,1.9253633823543084,1.6651531986784724,1.290584528813476,1.2574783951009387,1.0519512378591798,1.1029887330764498,1.47112616248279,1.1544672801905245,1.0730861799501237,0.8620732885607981,0.8720927175436343,0.7604186681263092,0.7820762104045887,0.687739762542955,0.7153774281719565,0.7069831198369575,0.6928983373253502,0.8210021245443052,0.7039519931074204,0.6757160764775948,0.6119556185480564,0.9291418056283576,0.6201871924737108,0.8801461380379902,0.8709550660353869,1.7560697627737674,2.201867652348171,3.0807529796998203],[0.5704695837723889,0.5943960285606953,0.9866108887202658,0.48659347434841543,0.6447931995801387,0.5742366630281285,0.5509972013120378,0.6222514835309102,0.6291452939152595,0.6395784950019935,0.662054876387298,0.6959113906966579,0.6586021146089185,0.6684802485818918,0.7352643595267768,0.6956860816182896,0.7010929823908071,0.7183189598016585,0.8338333008822991,0.7901852679544766,0.9803294080131519,0.8790677055136565,1.2863771254983607,1.3480676484788485,1.1861111607690689,0.9756645424253699,0.7982704012450121,0.6955039089293356,0.6738959603441917,0.666460259207534,0.7353371688405552,0.6573742407659808,0.677996797405308,0.6949312055549047,0.6650349059133688,0.690999276145264,0.6591136295606989,0.6862875782390166,0.6535205130400455,0.7502236470857632,0.9221440702122301,0.8232002773172696,0.9054766729171894,1.1010351723421758,1.5885561886904678,2.22300854722239,2.544300225323738,1.6950612644607301,2.0484383667684076,3.0481672717756982,1.8293451449215536,1.835498968703241,1.1800528302845055,1.024168744195997,1.2431697238400343,1.0841932116223822,1.0658612080663399,0.974599871465344,0.9377927847880888,1.527567060958925,1.0169923957308444,0.9816546884230526,0.8664477971134266,1.0992251462911786,1.0528195794865887,0.8544538212951956,1.029569226182317,0.8292740057806065,0.8758265014241372,0.9293472956051843,1.010669096411252,1.2427764459316508,0.9385418375761082,0.9862502724606123,0.8904772128557629,1.102911409738764,0.8225913980389153,0.793753849158036,0.796942717467448,0.8310370244931411,0.6769856968445693,0.695596083897316,0.899193972259488,1.0101747564919692,0.8085338605236204,0.6596609693836563,0.6518997412715164,0.6944860299827366,0.7107162572545958,0.7252537676000597,0.7848038919004096,0.9182144606992261,0.9129632973315149,0.7536098088983372,0.7153022362696363,0.8000993112722684,0.862981961490301,0.745026538616241,0.688177964085251,0.6633793073729618,0.6491470012026339,0.7137650989430191,0.7084699658347239,0.7192383582980483,0.7464355853700135,0.7584027101720359,0.8582512030109375,0.9479076928598991,0.8226729904821245,0.7771990804184907,0.6876553099798544,0.6706447334197393,0.6176048973801169,0.6036434003986918,0.6853550919510943,0.7035843971569364,0.7070513890017787,0.7384869045602467,0.8435861878131311,0.7588460132640737,0.8252168624147851,0.7664098261702881,0.760490389611113,0.5934771037837029,0.5773545361483129,0.5843186554180623,0.6603560409191301,0.6944643502159853,0.7488762362065303,0.7872635716695375,0.8643412270070543,0.9343830926544715,1.0020818905408857,0.9172954749875061,0.9010282256843954,0.7969808394078706,0.8873837533813586,0.7114965791404502,0.5797573171606658,0.5872626175049844,0.6507923524061515,0.8300519084932676,0.7018796715470756,0.6331913200862049,0.637903304710446,0.6591336144875809,0.6708324773867198,0.6589681483339981,0.6397697014779816,0.6362658754920413,0.6163761119868321,0.6389173783529077,0.8698605136618899,1.032595615047858,0.9253265923317878,0.6871496756039865,0.660658351512127,0.614409633095528,0.6649974059609355,0.7209840200076708,0.672447622530224,0.6491012695854343,0.6728909605018205,0.7416215810177469,0.7800121735095008,0.8150310601810256,0.9917072328580461,1.2023778255916058,1.1864160865099516,0.9641538863561296,0.9210041795628582,0.7447665638128567,0.7696197481801805,0.7496084198340225,0.7217624202030065,0.7401332789359302,0.715533816917402,0.7519251897275865,0.7686896821158132,0.7352176571979155,0.7816439817428581,0.7802696193037973,0.8962986394236373,1.0048859347888692,0.9520436019538376,0.9836877215391692,0.9009296087741288,1.2127660548915498,1.9123125733883641,1.3465955719373255,1.4026293476554088,1.4309944379705066,1.3587723311381696,1.3048803161423759,1.1570297630264494,1.149626571981483,1.0205011987653685,0.9843565891764372,0.9518551041699823,0.9195956548385888,0.8876363182176125,0.8231327103671348,0.7963251186872582,0.8357353996927561,0.8378191833409826,0.7941181638549524,0.8556599903812783,0.8763927931636902,0.8076520993306129,0.8618367082738579,0.9335940828838709,0.9191626259869714,0.8937795264838068,1.050575772059463,1.1672237639902197,1.1826548468411966,1.0953792282834944,1.0622527509872013,0.9467336541607012,0.9450277418373267,0.9897809612059283,1.3483084124480003,1.1721293504026975,1.3419745175479239,0.9827702730081385,0.937045302813747,0.9182589842026045,1.0757468084221964,1.0804426321389298,0.982595702010873,1.0624879406245777,1.2848331889814664,1.1476116856044574,1.0306037491783322,1.454098193426901,1.267122224031123,1.213828605076162,1.329471280748805,1.0001188487451957,1.0450401952912958,0.9995947773487588,0.9602016241271383,1.0157401191101758,0.9137684339314682,0.9407709339595244,0.9130752725947479,0.9507609814334869,0.850448140691973,0.8092616307430396,0.7726225788834433,0.7495320920757699,0.7649399767256809,0.7537579014430319,0.7782458024992444,0.7957187768247803,1.0044539862021828,0.8819253626479971,0.8476838201294064,0.8551322755575709,0.8206985332687969,0.8145312980954172,0.9414418453299991,0.8682708136466285,0.860678244600315,0.9163760254436242,0.9422817618458631,0.9217596673290289,0.9253940883811592,1.0030401906831758,1.1249232127376905,0.9904905272830451,1.0682029454343804,1.2550990004270155,1.298466689924843,1.1926503976185312,1.1071630267707335,1.8682595364587964,1.6705346347511696,1.2185815979068344,1.1952453090492616,1.0310671601269452,1.072718529461465,1.4304520303614094,1.1198131439270562,1.0431118555133354,0.9124102452224989,0.9150448279164477,0.7958226909027502,0.8245287863548335,0.7125554247960986,0.7260250704159993,0.730159012569217,0.7111212010957616,0.8611279229861669,0.71536690623277,0.673781157479211,0.6281314348719772,0.9476971012840831,0.6187907910821512,0.8340572368960221,0.9662644371596247,1.8712557634722162,2.4176113558088135,3.343144448721361],[0.7421961900600295,0.7540771658408476,1.1203655166112074,0.6387984162363819,0.7737871888227147,0.6846220938947168,0.7086236451519231,0.7538286599210899,0.794388660135417,0.8047518249662696,0.8200634784607196,0.8388619838129016,0.7985745831550328,0.840260257419722,0.8875392307226778,0.8349044714407531,0.8597408994966945,0.8832138619983991,1.043385087125503,0.9697482661372896,1.1836087145663767,1.0511538416060484,1.549129894779038,1.6018198256236449,1.436681090313618,1.1953680728835865,0.9684068207734308,0.8825766291220567,0.8214600291344138,0.7941307682054853,0.8773416023739258,0.7783422093955745,0.8078462676108894,0.8141683355202024,0.7903445839745911,0.8223438955134772,0.7591956997717341,0.7951909692501867,0.7311898960083957,0.7519083945104647,1.027203857396897,0.9608434167517923,0.9868225304845784,1.1892138188323196,1.7115272846302274,2.518282013063791,2.75502854251944,1.887362663720922,2.265249170542315,3.3586503326478816,2.0227724458510834,1.9357718941031283,1.2413288306311128,1.0597327864201465,1.2860857685406415,1.1431313361672046,1.1586337667172937,1.0251940934325128,1.0006613860710725,1.5659156516901565,1.1430920361097356,1.1208461718824543,1.0090127348765292,1.2108060356836472,1.1719220851108156,1.0295215415307988,1.1954661514466667,0.988908461184879,1.045314626572657,1.029740028459498,1.1463081517487053,1.3268524229696308,1.0831869614427427,1.0805958374698452,1.060052142851687,1.1834556938644805,0.9624662773243526,0.9272092216461237,0.9183102209750759,0.9286944382591354,0.7223154910244547,0.6993581200605294,0.8911776620850969,0.9428679297254713,0.7479136994047413,0.6855574744599533,0.7319799656106389,0.7454736508522941,0.8518570870965185,0.847305952150582,0.9101776190002153,0.9901905621351197,0.9974170910700066,0.8667702786295887,0.848821674426144,0.9111488787333266,0.974122264316645,0.8570464792351379,0.8023872905075603,0.7554861598722262,0.7409925005911213,0.7976438380639091,0.7625489986975179,0.7607643780761656,0.7503193891774251,0.7766165114092513,0.9074038556144053,1.0112582596191326,0.8904950367836757,0.8129552706447251,0.7517569009136874,0.7095593555803638,0.7163541219025457,0.7066217082847415,0.8578755769574654,0.88138755452539,0.9188743771985987,0.9817567055963997,1.0462141933353024,0.963428869821363,1.0299471293695772,0.9693045836354168,0.9838797199431387,0.7896392004136591,0.7557978796541271,0.6990735527599644,0.7422510784127712,0.7353032391149416,0.7991545244401747,0.8082518815275909,0.9207254915668356,0.9907608758703981,1.0099297027751906,0.9061100291788342,0.8820558324545639,0.7873567980614365,0.8878928459289068,0.7076179726934511,0.6796970400291906,0.725183950353303,0.9712733235531816,0.9999373463041203,0.9053983765091446,0.8130276580220727,0.7908725038652795,0.7733132091511181,0.7673576216946213,0.7495073856362502,0.7213854505969152,0.7393318123763108,0.6995931660808766,0.7435894227919329,0.9649895539728791,1.0968466445565164,0.9503328527666738,0.770556519118107,0.7531734962011238,0.7022985281748052,0.7623496364722808,0.7638133807288204,0.7026538448090855,0.7009778210825202,0.7330102021979834,0.738637632325551,0.7161182866768917,0.7516546866759387,0.9025159243753849,1.0830329100864573,1.1584052666361693,0.8919422297443563,0.8657398464375398,0.7042099228594478,0.7232493793767462,0.7157907636121449,0.7181083251163654,0.7325265993692502,0.7505511958486523,0.7749870564658182,0.7658812558071152,0.7208707874945787,0.7474481236519679,0.7624308502346211,0.847653823069144,0.9385584748730287,0.880911754120421,0.9169010724870034,0.8702676772706889,1.3066287788638489,1.8635576256376123,1.2441920660582788,1.2694498296049765,1.2082971222802064,1.2404791497309529,1.2530076719193173,1.1513746938273541,1.197877013542213,1.1091956348696452,1.090027088803155,1.0801852150049227,1.0116124974682599,1.0216620468034052,0.9421500147675733,0.9068685671464007,0.9797261761039626,0.9791040097119128,0.9247757369845025,1.003990069224607,1.0259750916841925,0.9539576473552918,1.0030359597586624,1.0756831213774964,1.0555922103477569,1.021429413553096,1.1600968845980555,1.2735792854427963,1.304570834091282,1.2039327330547174,1.1845199362304157,1.0927372449310813,1.0837670830471293,1.1442614544343082,1.4989101035268346,1.3470496528863771,1.3834781540015069,1.1010687776849342,1.0836679956682036,1.0462443719643846,1.2025090782913612,1.2192917202304838,1.1487275450418124,1.1656231902904837,1.3791651523304833,1.287390077588151,1.1820981174169618,1.641278635832535,1.4315664604054357,1.3537907134913956,1.4924477016160134,1.1332215908293544,1.1592487731520231,1.1164894085664394,1.077279453461508,1.1182767663175395,1.0237963261305865,1.0390050890311784,1.0311934838646701,1.0904586491331754,0.975555491484694,0.9305663157715158,0.9106284280507533,0.8841810083950664,0.8771157161510594,0.8881984619730016,0.9254634054112848,0.9174638129705621,1.0774877380372705,1.012855212397381,0.9881842300768013,1.0060269700167572,0.9617072779621195,0.9606491093167903,1.0859600596255992,1.0210032662063637,1.0094621439761586,1.0746049537664613,1.1052728936430212,1.0698129652540338,1.0807734466586159,1.1687746383618838,1.233340443520132,1.13464410670746,1.2226558732417088,1.384551862006243,1.3980712390243946,1.3060198047589806,1.24378096165641,1.8785498757524806,1.7834737876584246,1.3283775062933612,1.3269221047571862,1.1743065096389969,1.2093156355124572,1.5746543646772226,1.3115037556139029,1.2376824004839548,1.1172065052407727,1.076957824901145,0.938453396015093,0.9415995754750562,0.8108512416520863,0.8479874819789456,0.8188529231878983,0.8256161744221776,0.908282276988211,0.8049588861694077,0.8125199533657246,0.7436517470954461,0.9800182403392146,0.7782359455571987,0.9632574164159601,1.0175564431614326,1.88546284612837,2.422854030397005,3.431373477784708],[0.8024588052933549,0.8254159873337357,1.186802170308324,0.6600415650152159,0.8461278484060034,0.6984472343990955,0.6968896003981624,0.7616843126839391,0.7314314585744273,0.7047521624096563,0.7123688543948552,0.7835488885411211,0.7389341225936151,0.7118777789696236,0.7825661551491161,0.7796392960525769,0.7823646365022586,0.8239384903614487,0.9807457254425237,0.9555131438106155,1.1890091194362746,1.0884271678219528,1.6234589655771852,1.7012071424479522,1.4745106117946147,1.182882587931898,0.9593530278773761,0.8352687084679179,0.7902102186599275,0.7827146823128674,0.8206811831182286,0.7719143038020201,0.7889927097157517,0.8006437992628268,0.797814954457824,0.8215876243623413,0.791460810624926,0.8194957275125184,0.7848283243187664,0.8575629395327411,1.0720921234686913,0.9974599081892225,1.0703323419803377,1.2793961542161147,1.8132000619970605,2.5490577165242962,2.9389186376371104,2.030977316374841,2.20538293111988,3.4616162392853744,2.2061560296804434,1.9979520393813246,1.4181850930919846,1.1332608464321956,1.327925157306347,1.2956202045706273,1.275483323761177,1.1286923342285382,1.1233224724718571,1.6592290927757039,1.1989910875552032,1.172492022223459,1.0467270949285932,1.2431385757539388,1.2196344523985287,1.0550676957433258,1.1936223452182286,0.9625153523771808,0.9846469292340878,0.9613570631474747,1.0541077310763358,1.270933399847079,0.9900056159042485,1.0475561789402843,1.007859362136181,1.1660066403707334,0.9686720970972189,0.9391054049930933,0.9478082786601267,0.9917024783530815,0.799225506034201,0.8039276802218933,0.9618086616337926,1.0721915351003783,0.8522604131488379,0.7793676801721531,0.7914680047271532,0.7953845344116011,0.8733513124848438,0.8571566868793715,0.8932904312420099,0.9761371647047454,0.9513612284362221,0.8166303658707199,0.784436148092225,0.8291433897043304,0.8839821571913221,0.8157517663451797,0.7741109535201008,0.7800694151807028,0.7771125644374461,0.8909350143316297,0.8541709137632215,0.8774916380744056,0.8922691285144484,0.8893403539807498,1.0429361707915141,1.1103185978262846,0.9957750427273518,0.9259649068589764,0.8510594471207104,0.798903805230739,0.7430455143082919,0.7144190511336089,0.789147512203461,0.7714592621334182,0.8160306761603886,0.8528324561437888,0.9472628073529363,0.8559290954974552,0.8786717249006473,0.8075900335334114,0.8072853578542726,0.6487248362385445,0.6584708027355524,0.6721364649946822,0.7887480720521322,0.8057919854409429,0.8993240693527995,0.9251305739491393,1.0089833510042432,1.0883611380471354,1.1164845124694152,1.039945521062795,0.9834247850817478,0.8801602044791399,0.9223080972719648,0.7263336137307944,0.6127979485595325,0.690571029970659,0.8592585423801882,1.0012714779594272,0.8743922869338159,0.7794310792223164,0.8017004162973236,0.7776686668137884,0.7554466589858988,0.7559898615955186,0.7749789699407386,0.7571826322127517,0.7750250820847595,0.7707328802583311,1.0420423822059752,1.1259191903137262,0.9352877526752974,0.8165578106756357,0.776527862411642,0.778636024445949,0.8167868444167407,0.8629989389348786,0.8004179651326723,0.7702281655583728,0.7870701428844872,0.8426756679991574,0.8484643863395386,0.8637290390340001,1.009523514118082,1.1598028282440507,1.1766379838922036,0.9058609907537805,0.932327145600818,0.7880574505009768,0.8397416818493886,0.8449693266569882,0.8411882879980637,0.8523384031625956,0.8318808125034175,0.8929088206196625,0.8922417235398539,0.8859648826907565,0.8697209950880382,0.904610421325769,1.0071446495950633,1.1053012052796654,1.0265856046169344,1.0821853647057897,0.9524691069054795,1.4756392491017079,1.8354257111292829,1.3975095887217006,1.405564560679792,1.3226988271250204,1.3439070940704965,1.3558721461816434,1.2628218799380053,1.3038182706046542,1.1407653429564428,1.1402470649918273,1.1470743259616092,1.0644284612231625,1.1044135963996038,1.0466128083570854,1.0061743887927848,1.0807064497044807,1.0935208901820563,1.0419305911109118,1.1197810435665867,1.1653407661350565,1.0839618906423854,1.118259292021553,1.2075937143862219,1.1985222891753724,1.1374470885031267,1.2664124739517233,1.4063209292054295,1.4389872261192727,1.3365597755182146,1.333303669328328,1.2383459157180579,1.2308145187842698,1.2602430426082496,1.5629587731522419,1.4021245950231374,1.4747949927148332,1.2172768844785327,1.1691629839886062,1.1202316274063422,1.2779317920841315,1.29405617599465,1.1749944924575353,1.2370977775630863,1.483528013377857,1.329972958993881,1.2030445851781935,1.563873776931031,1.371557051726286,1.3802439404241886,1.3514170830591319,1.229579346633461,1.2007893322056353,1.185108915863231,1.1478919827822869,1.1943396083585378,1.1230605314638935,1.111497434512226,1.1022315489176349,1.2004775252618765,1.057222070557461,0.9970985005038426,1.023471114117454,1.005311730631152,0.9885341142341386,1.010080365612062,1.0514917512058273,1.0392310291512241,1.1794090518316065,1.1443502056835235,1.134086232193926,1.1555110725936475,1.1100963517317994,1.0742809158723963,1.2156944996614254,1.1539289901130376,1.1508570977248733,1.1745744769321473,1.214198801455582,1.1955477585664598,1.1813716771182867,1.2272861864863345,1.3590903639573964,1.2485817375951211,1.2754564883026744,1.4925910339286061,1.515469803677877,1.4320821832672073,1.3751658245913814,2.0944024849314555,1.8872792413467667,1.5371242988035254,1.4836071669307809,1.303461251989459,1.322552685531619,1.6827005454795037,1.4608981336969324,1.4066287057878089,1.2259693566972278,1.1416160238641384,1.0408758372534976,1.0208593344811534,0.9172401223261388,0.9564976424717988,0.921322206128205,0.9534441482310149,0.9773680811283,0.8876060514095551,0.9288710343989642,0.8445875194147182,1.0180804891008868,0.8433506764119709,1.074297977434131,1.0051993835529838,1.7776690476957107,2.297749797923104,3.2709896592424275],[0.9196591598838093,0.9283498351572598,1.29398383621652,0.7658945809715582,0.9380788114019186,0.8156644688868036,0.8116692355490883,0.856849664232148,0.8245966169763996,0.7774380164337497,0.7755347709868586,0.8592625753376811,0.8059652136293857,0.7683314860889469,0.8305100035969247,0.8554724809932006,0.8275018565292145,0.848115927305869,0.9645184760696015,0.9540874591180121,1.1510199528416631,1.066124032812692,1.5750632622596754,1.6352389475152516,1.4638645507275319,1.1599623378334878,0.9742088299298621,0.8662581721289382,0.8259789674438853,0.850271706237722,0.859251986913891,0.8447040631611377,0.8463480643537101,0.8464443073596374,0.8475957974588797,0.8643832079216044,0.8511660880243136,0.8437705630528078,0.825185341123825,0.8908854880094935,1.1091489211224939,1.0047127408102188,1.0756103344981645,1.294091352055571,1.789376443416983,2.5726105910262893,2.9284327526918945,2.0336518194925746,2.282029636711289,3.5471445481584736,2.2437748547161993,2.025231863763282,1.4320167325963198,1.1766203523293064,1.4111518661076694,1.2860135280954783,1.281205508991738,1.1371947354081016,1.1308002341142245,1.6348602927408862,1.181670002584559,1.1531383302688674,1.0438582507491736,1.1847426633162068,1.1922188698874514,1.0500583783107402,1.1444961918644345,0.9412525159929794,0.9558020308498211,0.9459265649476959,1.0296363576683847,1.2415116047824233,0.968466839930936,1.0139764442048909,0.9943782698009229,1.1288156636141726,0.9701476232174787,0.9642245629923597,0.9678385161844458,1.0068811779055309,0.8340850682779489,0.8355106074197628,1.0361297000912377,1.0513184001723437,0.8801823588591081,0.8247979977126764,0.8242982204532664,0.8219002742100145,0.9015553401163076,0.8932586230283862,0.9192935506601362,0.9805405521313953,0.9717983093555782,0.8547260701267246,0.8422391677295793,0.8893467627299754,0.9538327932127356,0.8798234808479787,0.8509653502943947,0.8961486658878693,0.8737936977227402,0.9906842179980593,0.9319683880268159,0.9542799687204808,0.9477189069448217,0.9561004349344232,1.0614478463512098,1.1400506372021122,1.0165527590359196,0.9886209873252567,0.9282337027293263,0.8994189214915654,0.8497616252948466,0.8203526257252667,0.865281389314471,0.8404832968412284,0.86240212582425,0.8647025512297292,0.9175250526649211,0.8732782792008995,0.8837031403243654,0.8430530473589074,0.845599313804403,0.725919582382715,0.7529270755410897,0.7707150664488897,0.9129831798487118,0.9009084318378209,0.9630903232180043,0.9652373114910643,1.0251882309716636,1.0582181646710822,1.0808600062239178,1.0292983197798904,1.0030181963088505,0.9468232273000311,0.9880205101857048,0.827152680466841,0.7082382007581505,0.7806940773507254,0.8725769082060567,0.9866767689864331,0.8658880685298037,0.8165834402749711,0.8494430557019456,0.8355336683288566,0.8206745658442658,0.8468880979902466,0.881116494357107,0.866248118375539,0.8842343872117198,0.8730966049603363,1.1017029858289624,1.2313364725532718,1.0440204079122204,0.9181514287866431,0.8781911437911081,0.8731513941750606,0.8989631689788519,0.9251242130193464,0.8966377368153694,0.8503962466381696,0.8643538187017692,0.8938699197996067,0.9060210499742936,0.9244136519290074,1.0308810314299817,1.1508602118668536,1.1654077198061368,0.989326425033054,0.9707294124488303,0.876454125258058,0.903725174786409,0.8990212507826375,0.902851524103615,0.9139724223212485,0.9136560168612713,0.9717055161372875,0.9549908328499873,0.9440962520807691,0.922945436983093,0.9439975055597554,1.0165070402156695,1.095313850894327,1.0441496013767295,1.0999046030341826,1.003833553816478,1.5338422292849418,1.8652524869198506,1.3973625354602448,1.3622547988442721,1.2432234020423445,1.2732590966583914,1.312525190393849,1.205597558755294,1.231743705423109,1.0838503512379964,1.0815516500494342,1.0856528509311978,1.0307033974740316,1.0634558401786478,1.0357092038871865,1.009515546258482,1.0533563913462936,1.0695019265782952,1.0611932668371113,1.1365570662395368,1.1589126683323288,1.0988182263905761,1.160258476367971,1.2417739019636531,1.231766342856282,1.1881617487768734,1.3264312646282972,1.44572027881557,1.4563545347908209,1.3722491464266604,1.3299883042635097,1.2296099125943647,1.220549151932607,1.2147889681705504,1.5348194420206303,1.31983575981006,1.4299967420352373,1.1476353011274594,1.0852922513007222,1.0553049529778955,1.177597564772487,1.2049899442287384,1.1069090375258444,1.1646859431836327,1.404428232546064,1.2592603457751355,1.1206588934628234,1.46271379794894,1.3064921096525182,1.2826925225789503,1.3287660635467966,1.1484066431940552,1.135477207803911,1.127816948160073,1.1050033713149674,1.1562179766662164,1.0800655796424188,1.1237761846077028,1.0937462481785332,1.2087371913350975,1.0908754927715245,1.0434731385509957,1.0406923578417286,1.0375062682193503,1.03646664281148,1.0470828235057477,1.0621784304557722,1.067354042562603,1.2082662605850638,1.155210616343898,1.1446579876528493,1.155416098054096,1.0994715995679434,1.0551216247777475,1.177084387866183,1.1348371769200665,1.1306039858435286,1.1282684801432379,1.1554224439870013,1.1569259152477298,1.1226685815734692,1.1509299508615731,1.2851561170294066,1.185328379284716,1.1885955858450379,1.3924867199093272,1.4430154944895959,1.3631186698282223,1.3206381616342,2.03294726624342,1.8529011560208912,1.5314062536124402,1.5135563298517012,1.3164511246463042,1.3746638021657178,1.7319891991135834,1.4949663991193687,1.4115525531509698,1.1781558309363318,1.073411836508374,1.0463767705471787,1.018953177442606,0.9856266113197342,1.0277835559371495,0.9881666170486545,1.0105717968870074,1.0803972966306465,1.009481576722312,1.0098403346303875,0.9464643510862599,1.129149143507287,0.9503070635048856,1.1782408176105021,1.0686804897247455,1.7265026951062143,2.164393016297365,3.0417041069941075],[0.7952429786729535,0.8132916303990981,1.1479017164317622,0.6668357925333052,0.8701073500749751,0.7756610000279768,0.7873120516131592,0.83761427689801,0.8450374622496957,0.8542580143119312,0.8663564234557827,0.9122701165176079,0.8953036440255362,0.8819183509783944,0.9657435887219801,0.9691858182117241,0.973269972217804,1.0106374699147642,1.137065957640229,1.1256549223480168,1.311256775648003,1.2446379483594676,1.6756815219113126,1.7403955043646189,1.536785672862534,1.2884527582554397,1.1122604344521294,1.0384601976931613,1.0096352475793473,0.9896595993926665,1.0177821610277973,0.9669796215166637,0.9933379571803852,1.0002641820709226,0.9953835570464249,1.0274546906259643,1.0150186660077303,1.03748846169061,1.0245620272997227,1.0784845317413627,1.2050025327510674,1.1625126946801723,1.2435750525951503,1.4208785520581497,1.8913494696282893,2.4601323612427737,2.9186858428348414,2.078554183379689,2.1437513175069034,3.3421676933888955,2.255533962349719,2.058246399912138,1.62609813611949,1.3757850103692288,1.5314765641156196,1.5393039424359494,1.454905764842175,1.315792385739119,1.3288049079978974,1.8480970247564044,1.3723091002386443,1.3306256207850793,1.2165706899012552,1.4160670319637454,1.3914397977233002,1.2112224594861294,1.3473934254717228,1.1352287410414112,1.1367125149736517,1.129574114772833,1.2237391060101213,1.440453903887519,1.1626436624829941,1.184167600542785,1.1548689581955487,1.3446126784289485,1.1590053317713493,1.1418024784396181,1.161028675118301,1.2148773275308884,1.0341234229211764,1.05358471234341,1.1866771891023105,1.3040471902030408,1.097370523212322,1.0302771253331446,1.0142188135955845,1.0033923942743546,1.0935629313995645,1.0747245997921562,1.098760172724274,1.1568992207781745,1.1370087979848806,1.0112887018673982,0.9699002213709579,1.0078762803933283,1.0400881014675765,0.9583272384258158,0.9237292666036583,0.9081526220656816,0.9302496256287058,0.9785600601231857,1.0143812424282506,1.01078639720527,1.0281578801979854,1.0203618129345675,1.105825163991344,1.1618310015937394,1.0223006383152191,0.9929643251126964,0.8985148730526945,0.9093972088665999,0.852310813261906,0.8586224603996424,0.9307690149770721,0.9338577469667234,0.9871543071511283,1.0161749123388377,1.1130289518559706,1.0160358303983568,1.0266960818238413,0.9499894800338076,0.9275183401439312,0.8224156420884875,0.7996365630061151,0.8094021015403547,0.8662749388629317,0.8821781158513246,0.956421739662142,1.0101923738843437,1.0712466470530675,1.1577204058051065,1.2120182136760018,1.1552611173086114,1.1037001748828168,0.996534876238201,1.0140628841433965,0.900695583789986,0.8164066392410341,0.9074868239676281,1.0131533367474372,1.1769140442501034,1.0694729398658185,0.9923775188792483,1.0190773462478302,1.0002955258235975,0.9669918753702974,0.9496618053314348,0.9200287850510714,0.8746869045893696,0.8679105370526631,0.8722329026194038,1.0810821224948748,1.1921094697397134,1.0538059982708445,0.9177939978666866,0.913235887807497,0.8861997061938706,0.9552314954825127,1.003780641958385,0.982693316656835,0.9800779136463121,1.0025339345918691,1.0764375843679366,1.0664915145916782,1.0796813145260833,1.1918131367130063,1.3339760783610497,1.2820612936567661,1.0822022016206256,1.0839877677904517,0.9893624279951813,1.044787800917812,1.0453477896660295,1.0376076329858317,1.0299846875858136,1.0324650834594338,1.0647281075368158,1.094021033227718,1.065186175611179,1.0663373412345682,1.059472019120529,1.1550097429084825,1.2927906043312005,1.2267651728994589,1.3037258934022973,1.145859054679503,1.6373222311041966,1.947819294726981,1.6615319393211208,1.7224361782352595,1.534165081146656,1.48553937207527,1.4489471318707468,1.3779285662777936,1.4196533140099432,1.2387068322328256,1.2227661182225098,1.146921136596014,1.089975679867667,1.0894282628134353,1.0290548002548643,0.9767160801008513,1.0095226676176396,1.033730386330508,0.987467366914938,1.032627718777347,1.0738853295130724,1.0147395777440633,1.0542584825977723,1.1366609263908503,1.138467154835007,1.0899842221534453,1.2450934878814597,1.390691577830973,1.4048119344190524,1.2991573292301541,1.297069694362542,1.1722349265515872,1.1682642156668421,1.2088708570957916,1.5452869148885058,1.331286082529324,1.4517237760381312,1.2034542623415418,1.1923800208562063,1.1523230547938057,1.3231412141633396,1.3338918798663995,1.2040020490691519,1.269619567343273,1.5600728946801732,1.3736414862485442,1.2480003805998783,1.6522337213038445,1.5086141078552295,1.4315289562545697,1.3974849417313415,1.2300022431376951,1.2849874496105946,1.2409303843635138,1.1653270746431055,1.1991200612292634,1.1251681627120604,1.1031650641259423,1.079568255318008,1.165125638391896,1.0341628878177,0.9866371715419977,0.9881313791553751,0.9731587187557523,0.9657251430144128,0.9670200927431621,0.9958976971117472,1.001849123658222,1.171790151611958,1.081443327696009,1.0707088718833542,1.0786858113097164,1.0712514625698395,1.0481724376359203,1.1808863092907385,1.1196605120265704,1.0842489732261273,1.134584303518454,1.1688065055099397,1.1438642351786852,1.1239127768557309,1.2196883339426845,1.3408613145115194,1.1794878388522396,1.2622431004060137,1.511921687175513,1.5259190060106282,1.4017831637179021,1.2933221830381045,2.1011684225534744,1.7540481695335326,1.5043953844948592,1.4390591014250067,1.2209214703697975,1.2711827141546208,1.6274168008151475,1.3636409504032114,1.3033525508442176,1.0778094257082858,1.0263627807857516,0.9516728267826942,1.0062212762979814,0.9158019154431517,0.9296821660315094,0.9297330971373093,0.9474063431809271,1.0126204314153016,0.9140421201830627,0.9180379707580704,0.8519900890868071,1.0297529000609567,0.8360218718543171,1.0858870483336893,0.9532885061366044,1.7543163494352865,2.1743871922958222,3.1150406619862765],[0.9027957253941327,0.8860780038629316,1.172183934734104,0.6724937466027157,0.8514209723515291,0.7227829841631307,0.7132167810888108,0.7542461381039424,0.7276990352056782,0.6988248145596031,0.6986191037060772,0.7926988279091528,0.7425471239638247,0.7050775548767203,0.7836570052413526,0.8362983176384763,0.8262238902379727,0.8688926161691327,0.9883860638535855,1.0221739713008176,1.2288628188145625,1.207337080881356,1.6666316828089305,1.7398823465751785,1.56553309165567,1.2380087513132558,1.0866043698558494,0.9179512798334123,0.8691220645037908,0.8724757168910756,0.8605465407419132,0.8481833306896975,0.8461269829039414,0.8897509050662183,0.8902688451154831,0.9189462661090623,0.9004652624765085,0.914403746388261,0.9366537103245451,1.0550773962270297,1.2542402164700548,1.1489844036491648,1.2313839798177875,1.4609665897235522,1.9147153460402058,2.6523327480361734,3.084438377742106,2.2091146721954544,2.3784041624462358,3.723801109115984,2.458610528635633,2.190943662670482,1.628021162624974,1.335834475774616,1.5513058249154619,1.4839397577749043,1.4680416160129228,1.291175048729428,1.3080138243522677,1.809337021717446,1.304524254013569,1.2789890826076364,1.1341275840916174,1.3021921759636292,1.3307272974627882,1.158939608476389,1.1988238011685812,0.9818424095619863,0.9579597172560395,0.955339071297723,1.0028415269543416,1.2180216558863897,0.9494994939430843,1.035884525227789,1.0187960507733849,1.2065385730728675,1.0300479596607066,1.0167736177002547,1.037337635559229,1.1186805120368042,0.9637019807187127,0.9862362020865699,1.1110794609367356,1.165130320160484,1.0203959816619157,0.9304400419948106,0.9451050946101243,0.9274219582813789,0.9755590908269846,0.9559210271971295,0.9400357874487415,1.0094038124151883,0.9641258940478049,0.8383851739587511,0.8136288596641718,0.8397229288324201,0.8905393763150448,0.8428922019235755,0.800932561741662,0.8326996099786989,0.8525568103037201,0.9544452073424836,0.9264605428409488,0.9357439938894094,0.9773243124062074,0.9270381320746033,1.040084475671905,1.10870432018868,0.9467310833873875,0.9285070642431023,0.8481861863936836,0.8347780783812035,0.7724579097008921,0.7789252200611722,0.8270118691690463,0.8303834362871303,0.8671901278578047,0.8878493111974438,0.9495480336358665,0.8764732521089129,0.8717248011073735,0.8099613080213518,0.8082624717661525,0.6826295185543807,0.6686454362777151,0.7122598760781492,0.856973210667209,0.8194277432527213,0.8959757762313597,0.9594147549832939,0.9988037646537381,1.055590729637075,1.1245120195743032,1.0723013203933096,1.0487755917386805,0.9697618951919177,0.9407356534866522,0.8360681210488373,0.7345208765110289,0.8353806025611634,0.9024154298760385,1.081920271041257,0.9387179364352508,0.8871719168277692,0.9671040265043628,0.8816128244349153,0.8465196189199489,0.8444359585697208,0.8631135866736892,0.7951990819933448,0.8236844640004007,0.7777211911800318,1.0154935878576314,1.145177631857292,0.9674917005924142,0.8510171026174381,0.823020696464984,0.834807629360563,0.874875595270068,0.9040834687510172,0.9230237314883114,0.9107491666008156,0.9378305457742796,1.0033132075843474,1.0867814185322753,1.0777229738618601,1.2053837344494898,1.3580769227929488,1.2919921421186868,1.1083818758050306,1.0528151772775578,0.9613517659942667,1.0094189135034306,0.9926143288182955,0.984168450936738,0.9600632498122145,0.9408735227288781,1.0295590622954434,1.0505875368724518,1.0461361750306537,1.0734073852182908,0.995042354458049,1.1194710158451293,1.2427465872779777,1.1877116404447745,1.276693565156903,1.1720834284379977,1.744573584976293,1.9413062554288072,1.6006076253633283,1.579373137338383,1.3529730018374035,1.4109959366213851,1.3997842396791114,1.2947507102633498,1.3230089346356793,1.0979353890316943,1.0877363467509542,1.0023431554354556,0.9470424419258293,0.9776927634579486,0.9144693453199395,0.8743112866311167,0.9089138215033619,0.9458203931035605,0.9179369117245294,0.9886104526627045,1.030145451067582,0.9822293915836924,1.0487926389343216,1.1537035331303969,1.167854186718349,1.1194173654175554,1.2974207486536622,1.4514251673669993,1.4605660321572906,1.3365093084229125,1.324137409731556,1.1650709754472257,1.1679177890255465,1.181315816076128,1.6668122006040853,1.294883477825028,1.3666913802707696,1.0896163263697132,1.049013551463088,1.0138565031328728,1.1522594798311323,1.2181857066141892,1.0528333810819408,1.1479376652197264,1.4541845771470643,1.26256967300258,1.1110311640671047,1.492876236440159,1.4681546869843236,1.3149907710015645,1.2989623001486332,1.0948733467598868,1.132836261616298,1.1127902798377385,1.02432840319078,1.046176122798803,0.9946774425893999,1.0051649073211826,0.975533465427698,1.0841353129953297,0.9645622569846954,0.9272722183152409,0.9168477511359153,0.9173410745828376,0.9174853928935259,0.925069887111584,0.9609442745676046,0.9763843892242823,1.125750149808207,1.0839321859100437,1.0817634209123759,1.0667735598716421,1.0082736361495772,0.9507332077990621,1.0830467106387929,1.0546975369112839,1.018842995363421,1.0256482647212182,1.0812271521689434,1.0767837034539969,1.0138377002038357,1.103526889007951,1.272482517898909,1.0962955712914513,1.1137501852551959,1.3799919253134194,1.4248042812187065,1.3097049057460446,1.241892457875564,2.082670775448617,1.7758748985977648,1.5676827076243494,1.5211742634318177,1.2366674097510797,1.3000461291457557,1.6711102417654247,1.4069908135927824,1.3474515403098883,1.032913848977797,0.9043579595125485,0.8865361067821117,0.8996609816071474,0.8578807954101256,0.8907914819075082,0.8670198724574034,0.9034733824868484,0.9781173898069248,0.8837477175157229,0.9054562233689232,0.850997392972619,1.0212033689273348,0.85071624976864,1.1243794914616148,0.9543861767288769,1.493510153633192,1.8133060031388277,2.6574479215114013],[0.7146643858421399,0.7098723695485051,0.9981539736425209,0.5035094358453001,0.6868475924726659,0.5942917542032656,0.5487773156978489,0.577141794176227,0.5795741937950698,0.5517478949681093,0.5549775273709577,0.6317147941071489,0.5827745298647389,0.5615615487299296,0.6240139201017675,0.6396703602342619,0.645420305529268,0.6761491194242639,0.8068729921511955,0.8134237900010012,1.018179916068753,0.9740682752533619,1.4202501808179235,1.492098571792891,1.3245931240544622,1.0310950355372852,0.8553922509479956,0.7109136570697793,0.6663291341953598,0.6543005979658973,0.6751393654794614,0.6253038237362999,0.6334651859425547,0.6710759523640559,0.6680104869344321,0.7002066487019794,0.6751661700002275,0.7156985102332382,0.7037104304248661,0.8087937866202332,1.0241893868446952,0.9121645016097972,1.0002446396931806,1.232856283511898,1.7360532687727914,2.4294098324722975,2.8288190401954383,1.948977660424896,2.166918572670165,3.411070146467995,2.166009570462461,1.9784651910897577,1.3826536185095815,1.131778003114058,1.353598835249073,1.247846460514765,1.2131738625028632,1.070248714057644,1.0619226229549878,1.6034319993005923,1.0984339662111586,1.0532962077735364,0.9106302105895069,1.1383612043541138,1.1300344340915027,0.9254605592345271,1.0191496798941115,0.7927089410729278,0.7973740166156196,0.8377522404879899,0.9204350476953077,1.1634936877076523,0.844914713708055,0.9167319575595996,0.846762245099464,1.0607375583311272,0.826671551368511,0.7963020226870271,0.8174539146182028,0.8928620039821891,0.7127411788004205,0.7359514646276646,0.9179495461779827,0.9855205823151326,0.7926206303917571,0.6893069631403447,0.6976103744383307,0.6974920045190833,0.7462782539879651,0.7294905829092941,0.75400572653433,0.8532241690409311,0.8154968584263429,0.6640970792481409,0.6371156676337569,0.7006905496112628,0.7765644909955052,0.6682115071788867,0.6178467685480548,0.6232142127029129,0.6211571809309259,0.729447710537359,0.6819112623710645,0.7099102364659179,0.7435176816963113,0.7216661038743957,0.8183499346415349,0.9041373712696071,0.7561039328212344,0.7357513142912828,0.6702385292031985,0.6246716031898307,0.5780901869991917,0.5814810655106196,0.6538120530807475,0.6727339424863774,0.6892467087918188,0.7241699497051443,0.8132709390267233,0.7059101656671922,0.7436158955339528,0.6840991885943725,0.6871270079735702,0.5396758096292377,0.5124121201583356,0.527753105324991,0.6939172917682433,0.6447550943495295,0.6987031884826309,0.7326450150343825,0.8087390111636086,0.8607903072278851,0.9233794056969599,0.8530790703222909,0.8374776061519688,0.7566050459385206,0.7894547186690946,0.6626225623173263,0.5579047520738377,0.6223613388022079,0.7176021510675389,0.911810904974226,0.7465386995454966,0.6704918895813914,0.7075897969376719,0.6727992820593082,0.6534263943090857,0.6293798276390384,0.6352043891191638,0.6007996086769398,0.618751206958367,0.5988439857038026,0.8695684421591098,1.0144702177836513,0.8520953834563381,0.6392091604556853,0.6080113179255922,0.6128472146299763,0.6506152161430613,0.6754779055841839,0.6805839821588432,0.6717016156780514,0.7112511778626831,0.7643535116602304,0.8100340657821664,0.8316845654490598,0.9747402562090629,1.155840221344649,1.109229231528885,0.903094415239752,0.8403118501854033,0.7257339090794321,0.7640443502030712,0.7412913535134698,0.7329199584918882,0.7219155031634057,0.7080332492704026,0.7855937150192754,0.7927811739167946,0.7865414863702562,0.826490592879738,0.7641461822053299,0.8825262023477095,1.0121508600177904,0.9446160634596927,1.0283511923547501,0.9407278835216751,1.5140269491923546,1.8538038337623297,1.4091168496479438,1.4208910539448951,1.205572528903466,1.2284740901399307,1.2064855422229475,1.0921233994435757,1.1695358565012166,0.9657769286398667,0.95009981412826,0.8802699197834575,0.8268999730623511,0.8243533315608118,0.7420218921364702,0.7079244443195091,0.7367064018185353,0.7699060682129871,0.7240742092929411,0.7858696416964951,0.8305624884965092,0.7864956530009064,0.8605778991114635,0.960219976354908,0.9796684298228399,0.9505034883934108,1.1493472068762896,1.2953747585178594,1.2900295800270092,1.1939731117226076,1.1349317617740822,0.9680648730908282,0.9828362107112404,1.0302199441643198,1.5029641904539985,1.1793112275512447,1.2873995893599612,0.9521523808192454,0.9143052879972223,0.8893865303549036,1.0297630188915206,1.1055609936820967,0.9441720903321799,1.0362205696123465,1.3424323649124343,1.1690807001901742,1.0223802378780025,1.4341244596100833,1.4297215631252205,1.2292217405878567,1.2792200436136183,0.9709933455558621,1.0288974745638635,0.9807721560885154,0.8916419378105518,0.9069307969360816,0.8468864380981591,0.840616022967374,0.8137207814621775,0.9025642161449015,0.7696781499354927,0.7488500963962021,0.7271558126998693,0.7217104284036402,0.7311543701813693,0.7302382639210028,0.7747018562331209,0.7997464389253205,1.0249584874548592,0.9152801669100857,0.8990017265793566,0.8740760810602961,0.8256436826189909,0.777174729061852,0.9052399532320206,0.873366245899296,0.8230335148863994,0.8617600363476674,0.9165114638905241,0.9029092545675916,0.8571586356181542,0.9932549430523777,1.153780647857174,0.9355656720765566,1.0306891366893696,1.266850590224685,1.313626195734774,1.168329899201264,1.036840154457112,1.8878949818366646,1.5400001265663876,1.3351944119810857,1.3005385348886487,1.0238126653359432,1.111986714100285,1.474910795683569,1.129286356111299,1.0351746505750186,0.7293318989063904,0.7427141097906521,0.6901357508921071,0.7522398555523448,0.6633858164167359,0.7056683759034919,0.699976234303335,0.6947816649285796,0.7936159719734124,0.7108338872587139,0.7069419590338595,0.6513820442694942,0.9067799458842011,0.6596413781557953,0.9555387919274387,0.7938795179384572,1.4853977679295145,1.7639815770792726,2.5789625102466833],[0.6799907924787881,0.6908196976918517,0.9979769960489681,0.49493073721936726,0.7023910919901816,0.5986432462760375,0.5682606167653675,0.601697509828797,0.6035928686486618,0.5937048554381729,0.6012246932405194,0.668385225075866,0.6268943312766485,0.6068890978445269,0.6810661429701025,0.6832773820642749,0.6975176736935726,0.7370880798740221,0.8720703893178486,0.878967994205299,1.1047442952636377,1.0519044102434796,1.496375912794794,1.5764836138526206,1.3771305060547265,1.096229100398824,0.9037952158716666,0.7597065742474608,0.7122556155990929,0.7034315595946203,0.736285478272118,0.6731214804267355,0.6858243691425817,0.7246560943933364,0.7164643604459129,0.7533492552846511,0.7196169170367334,0.7769021919828071,0.7539436448427475,0.8678643907399218,1.0586463685920686,0.965078014359939,1.0718298347865822,1.285775597990484,1.745796585671814,2.3262110626969204,2.79390109321053,1.9633724416757536,2.098149653060613,3.3143482736354613,2.1799670163018945,2.002344893469741,1.445541581758689,1.1502942583526714,1.3408763115485642,1.3275444837320098,1.290641123049769,1.1368433119748427,1.1474288243571273,1.727359507537186,1.1946922688628052,1.153835667188635,1.0000359611829743,1.2251290776504593,1.2069402736743886,0.9949769933455184,1.1243435996459241,0.8808888647426408,0.8839932015851949,0.9131386913829376,0.9992026499429544,1.2477632968465595,0.9374166509803257,1.0072133757975597,0.9201438716900503,1.1571680673950544,0.894549565398487,0.8664809855558657,0.8869702114139505,0.9734923094154461,0.7747759230408994,0.8001348632009503,0.9585524544470011,1.064643092383615,0.8645072890385853,0.7464377375902791,0.7592004995456073,0.7465851494448537,0.8059890190143432,0.789468100584033,0.8262050199212727,0.9537982872101893,0.9004691378843023,0.7313439676877161,0.6967478801628172,0.7669094992942108,0.8314549648452229,0.7198387203373864,0.661928016143124,0.6584400764592039,0.6662508019470054,0.757843373670569,0.7474540727282957,0.7487692608387998,0.7914086240559848,0.7466589906050002,0.8714484889105968,0.9542946222035644,0.7877217681908139,0.7600167835499917,0.6778630265455015,0.651203489074408,0.6052908679773342,0.6102221594846825,0.6852290737599227,0.7080034705955327,0.7238994174290116,0.7599783231564264,0.8783009103293289,0.7620203112517507,0.7937628399124035,0.733740828473342,0.7253370792516726,0.5793786369308553,0.5385845007268433,0.5481869852854419,0.6943972333605477,0.6659154893147065,0.7220647801620845,0.7783604017364194,0.8415811542754057,0.9276131355714887,1.0023911641850183,0.9269950407118167,0.8891729106288605,0.7912439080871194,0.8099555541363598,0.6818642548642883,0.5765394339307496,0.6434505967059021,0.7467457074319587,0.9676688109418748,0.8149107746508325,0.7192483710294316,0.748568088752465,0.7237295185798028,0.7063589051630679,0.6793372387366848,0.6679346371686053,0.6326614498337683,0.6349111517742894,0.6285336297065413,0.8973128050173288,1.0344579614370824,0.8732445454635748,0.6785544465905211,0.6448495402014327,0.6367791246435939,0.6973247096548683,0.724417691772868,0.7259741322068046,0.7184164366963927,0.7561702028664712,0.833320268410725,0.8652253733312609,0.8870125590470097,1.036453998748883,1.225972325312853,1.156423681111298,0.9200506049431044,0.8892351020731285,0.7603387772915812,0.8188500023565001,0.8062806131982129,0.7966643942009631,0.781381689953373,0.7660992570558333,0.8310239377978274,0.8695389771462195,0.8413496077042596,0.8654401289340344,0.8246854142672141,0.962908711700598,1.1091037435460078,1.0374779695953984,1.1271954576899297,0.9812807237804403,1.5211284096593312,1.8947272532527986,1.5331155033111055,1.5785177774579977,1.3677068026688965,1.361246048960583,1.319737273296625,1.20548340843785,1.2583601774445576,1.0101251239323363,1.0023005358421702,0.9211533047808043,0.860096636324604,0.8736724402615147,0.782906398110098,0.7403004602280959,0.7771296184395922,0.808479290680481,0.7526093606986565,0.8115833594452796,0.8553665704468167,0.8083327068533528,0.8719834837528978,0.9665035093916852,0.9873746709382327,0.956575301469663,1.148383980343952,1.2978846871242637,1.2969936511812088,1.1985039966431634,1.1460952734895693,0.9837140122820611,1.0002578733994572,1.0650771433329742,1.567921096068555,1.2036740314783807,1.3144960281543836,1.0030568358980527,0.9760215702351804,0.9402377309595111,1.0956327719494112,1.1755243824335948,0.9941158405436338,1.092743335098751,1.4311001181691976,1.2352841458067885,1.073700474167951,1.4915610221469389,1.4634498061670276,1.2935642172069446,1.2668946982218763,1.0325911929093716,1.0721387337566064,1.03630369208331,0.9383131819410732,0.9596419804392741,0.8939248590854862,0.8891245575656621,0.8601341880483948,0.9507463126451718,0.8146188416526796,0.7808029875878356,0.7627744966830872,0.75347041893499,0.7568935091000031,0.751506981820782,0.7947092900717017,0.8151337648097626,1.0283221629165127,0.9268654820276512,0.9172190476623946,0.8970313071008578,0.8609354127780146,0.8136486745596154,0.9532401437648544,0.9139960725841689,0.8591261803990773,0.9107960908767793,0.9662065604255619,0.9371918159121198,0.9032100669267905,1.039156865228756,1.179932467627091,0.9719273598284187,1.0728686503416573,1.3352154039886373,1.3499941940395552,1.2041951098616517,1.059029951120378,1.884587767275196,1.4909082296587188,1.3434392603473906,1.2884620652115784,1.0302617283820825,1.1143770022983002,1.4515722294803903,1.1205859232188329,1.0357492096503382,0.7589279779752394,0.7674855461809685,0.7178446225280822,0.7814928297798192,0.6862979546230691,0.7234551704642997,0.7176460777935759,0.7181100062561716,0.8172612312583553,0.7186981431057966,0.7137362896611877,0.6487076241927614,0.9156144678600762,0.6501080270591796,0.9448807942064262,0.7960120830784824,1.5116320505237293,1.8025173970989334,2.625197812456871],[0.7610881247083487,0.7430830220871436,0.9938219779830401,0.5295503561681403,0.7365573893184348,0.6014079813073265,0.568261174813498,0.6029178495967971,0.5656020427073324,0.5530786634185235,0.56118523275976,0.6411550941205123,0.6018495155420548,0.5728297430506909,0.6406356255633439,0.6479695186225695,0.6685588193340385,0.7100376425618591,0.8531958772266934,0.8713203449489776,1.0999605397951424,1.0599501593069658,1.5022245188608776,1.5859809661721658,1.387416865720262,1.0967386042339748,0.9118614014831344,0.7468716271808173,0.6913952666013469,0.685020705482881,0.71045903764571,0.6588177058532806,0.6592370973604261,0.712675652459019,0.7189666736080658,0.7522834090153474,0.7143455074170366,0.7684733256407015,0.7574892316526324,0.9002539106510886,1.1041667684971408,0.985120578071042,1.1110328835647094,1.327130212054599,1.7668023681131169,2.305285384868403,2.79581655618282,2.0065252881644255,2.153928550498078,3.3618959728351587,2.2776202399119994,2.0896068304668254,1.5209768405550534,1.2086766869402836,1.3986875555121165,1.3929688808464373,1.3502668309013615,1.1887718587026956,1.2032223355780942,1.7863352427272632,1.2267366621861688,1.1548592945466265,0.9982949820575037,1.2526190744676131,1.2211489154652133,0.9931627813501033,1.1140452111708603,0.8591336720258921,0.8600958970343632,0.9040874667464472,0.9900510364140211,1.2357440493661938,0.9314269991499888,0.9970764741073944,0.9028988063189682,1.1802804168118126,0.8848605135829927,0.8584611498218088,0.8856932323977188,0.989131949360671,0.7878115639924221,0.8311073747875539,0.9623350804891894,1.0541869697111708,0.9068829046501249,0.7637897156974839,0.7724521425232913,0.7579446395679135,0.8054070080680089,0.7843587018726481,0.8044538489977093,0.956602101026036,0.8804744040549132,0.7018928473845123,0.662513326325803,0.7384230062884907,0.8116346924827744,0.6951673788276472,0.6478467613230828,0.6591398948594097,0.6757920307496404,0.7909921046460353,0.7760325928032552,0.8176451494525243,0.893386765021358,0.8530117350857227,0.9813437892394837,1.08490682268625,0.9071928090872011,0.8752933497580835,0.7640141865900635,0.7218549725184492,0.6344045546167735,0.635450633112346,0.6719992149934686,0.697798752396069,0.7029484602737892,0.7453490796736261,0.8814361270154341,0.7344656447968712,0.7692366994004223,0.7010451701717278,0.6936726605970612,0.5527791070344471,0.5223643242946266,0.5758331942948921,0.72598935235974,0.739999371771305,0.821706072015111,0.8898396741900164,0.9683606125431931,1.0670318618085093,1.1381332755855904,1.047031744124792,1.0038091210633353,0.8643185052497202,0.8963166200962904,0.7283943560819198,0.6020652858620928,0.6681992476860298,0.7387298280554552,0.9790929391732639,0.8180182424831735,0.7211730601992826,0.7551214418799921,0.7133743620823296,0.6946057763542514,0.6782307487931131,0.6998389575087288,0.6435693678229905,0.6805948547153927,0.6368307761422319,0.8954105918580371,1.0790674622574874,0.9216930847015475,0.6875766969916255,0.6466751569034664,0.6818948126540841,0.7080592880164424,0.7764239433850072,0.7854923600299802,0.7407434262102962,0.7809194087019724,0.8755588871741987,0.9293152711014923,0.9551945662229434,1.1431272084167357,1.3349944964003497,1.2751511889838727,1.0123054081090384,0.9907942438632611,0.8343883682802988,0.8971959020497091,0.8770407771233703,0.8575420984180228,0.8407346924531712,0.8012756535996621,0.8786977739436411,0.9343237638946725,0.9142888259364496,0.9255859319954075,0.9203967354071302,1.090244262278284,1.2424274589680746,1.145518327930877,1.2145601952079117,1.0279790761469803,1.5649051418515405,1.9631553041719878,1.6627581035461967,1.7142615561795091,1.479640684867009,1.483356443844314,1.4491379844878292,1.359428953255988,1.429712442024282,1.1424831571790413,1.1507903552616812,1.062195047346955,0.9614881491674176,1.0126462837884789,0.8908738518292663,0.8320631860821149,0.880657245843191,0.9185505898036862,0.8374863707938413,0.8865941585292758,0.9502634137776317,0.9107725529693577,0.9498054574481957,1.0512384007018851,1.09196636228717,1.0516827839454956,1.2411343494022038,1.3733817508949044,1.337142771668557,1.3297843481567535,1.2289686177356176,1.0820310363284775,1.1215513730129187,1.1877947579930246,1.752740995617105,1.3168240401042846,1.399704208178631,1.1609751096324492,1.1539971827700404,1.1114810375004796,1.2644455320027046,1.3294628248624905,1.1712052109895703,1.2672254054798946,1.6311325309574554,1.4300877777949113,1.2563851457100856,1.6409199705798112,1.6887744996377594,1.4633266376208192,1.4467885485514291,1.2019472951262757,1.1903511447602058,1.2043035487138356,1.092361577309176,1.0855512133210672,1.0351090617572978,1.0089364628404656,0.9630270136003234,1.0596735350726525,0.9151105849758864,0.8618050022612731,0.8728450875838706,0.8588502888755849,0.8447412208766094,0.8459521421879905,0.9122910858541522,0.9317152784679348,1.132463549738533,1.037515104188257,1.044982103856095,1.0224659065860544,0.9858159154156333,0.9299512669948783,1.0655715374279398,1.045274209725943,0.9784474796393388,1.017060863141237,1.084232730798816,1.0550161765202335,1.031498035103466,1.1772858821221344,1.3017736465797023,1.0729682726830785,1.1982699286995753,1.4290951775436578,1.4269965368845723,1.2899926450214572,1.1206866686873702,1.8076081869956375,1.419135863645655,1.4305072655498596,1.3319261524666737,1.0856368468400937,1.1559201900354557,1.4286197118480966,1.1156227181825555,1.035498422191731,0.8481511608138713,0.8556736732547372,0.7991792234385395,0.8783798306609963,0.7719576645388101,0.7985520037980304,0.8225716847600033,0.8305270328611313,0.8811957503411764,0.7892649131035199,0.8020716091263158,0.7420484454249746,0.946399758187987,0.6841273465045551,1.0087201682480427,0.8298931426247926,1.4083479374240204,1.5931364621212118,2.3857250524288083],[1.336461350280931,1.322085130340391,1.4391100326072068,1.3261956244265463,1.3935585059115703,1.3988482422174404,1.5090441549489837,1.5138746981206384,1.6599033359751088,1.791917061806774,1.8636556451892687,1.7996648737038454,1.8201121255320711,1.934798964493993,1.9643724446619824,1.9074929724885228,1.929999239435463,2.027685702567819,2.2126883778950392,2.0651647653268332,2.2775831404421147,2.1868961255304242,2.539803666297998,2.6319093259026647,2.3499164899249685,2.259055673688668,2.060520751671537,1.9468589968833534,1.892524265074966,1.8061118237607643,1.976535262896053,1.8059892722502429,1.8414552669002358,1.8808807754608703,1.8390375228887037,1.8879549667739504,1.7313550226013783,1.8416886911353663,1.7740207373618289,1.7804429594800133,1.9668072631045446,2.0029699942578922,1.9837185052331694,2.030277979804477,2.34449934630579,2.7038847457757225,3.133071105929265,2.515108960926414,2.657636082283423,3.557630308370915,2.687963227010721,2.4630260757624804,2.079943469786523,1.8321864868375146,1.9200847264142753,2.0800992790333197,2.129866410053626,2.0004848219159186,2.0642072096708812,2.559681657535779,2.184351186421059,2.1759451008747974,2.0724605027973615,2.3449842625348074,2.250905103260812,2.0954809648262516,2.336733841362771,2.134294677530095,2.2443627409589646,2.2610606825195414,2.3604832881258644,2.4974328999535573,2.3102372228549646,2.264267371052034,2.2038643392209125,2.3841267302535414,2.0347343760145047,1.9842021126635072,1.9136904434293696,1.9137217400783229,1.7974511489197265,1.744130980431111,1.7088371987026536,1.7895619168026862,1.7027384136631913,1.6596089500940003,1.7961666072621472,1.7827589880478725,1.8989709685122995,1.8774025048430139,1.958078664583671,2.187250141065427,2.082353807881579,1.9754587663545315,1.961570657091704,2.0360724734493076,2.105237444224468,1.8671659904073443,1.7800511227304738,1.6627264625088833,1.6940033321174093,1.609795458041392,1.6514273879149828,1.512827792018697,1.452472693095135,1.4444153104645654,1.4754277424334914,1.510445963842218,1.3690066838842154,1.3912032571581854,1.4046438144313071,1.4789702271038898,1.5449568448401676,1.6419841323257633,1.840046316624338,1.8988217909024212,1.9698181978237814,2.050064975379904,2.202511676023185,2.0928107201491364,2.171023189063843,2.0424975107322156,2.0419690615331056,1.8593993563519895,1.7081993584549942,1.6037760400017322,1.4159307348475607,1.4809109906014208,1.3935019043537678,1.41949512096579,1.4110179127048565,1.4631770274357854,1.5369267717630624,1.5098303041867163,1.4882855200754237,1.4596985063856591,1.4004524537938892,1.495586050888572,1.664847183631654,1.738120059166856,1.9542723378367597,1.9915367818514498,1.9824782187136585,1.848905000424347,1.8112163537344592,1.7616939343385414,1.7374719480646295,1.700969802563832,1.6177991403434406,1.5935868549230652,1.4975140445756463,1.5318592771322441,1.5888904006438491,1.6925028221944642,1.6592577484725113,1.5990758721298468,1.6278868547063257,1.547831987565874,1.658910075108843,1.5687099032728884,1.5925908551145882,1.6636945850088276,1.6907615138846583,1.684576758791781,1.6537342001638324,1.664992547638886,1.629685567351354,1.7185327482328814,1.613530757831167,1.5837467458667842,1.5382790415328793,1.5748125900606698,1.5739963023845058,1.5729676562495793,1.603825036819314,1.5533740444603819,1.6823777611438209,1.5818815433089617,1.6307695075955528,1.5569716276588388,1.5031264505778434,1.4795717626678804,1.5320565498430772,1.6555999423162822,1.6338177653485626,1.818924218306384,1.7794070938985875,2.094080879731552,2.3780970991007404,2.081269217967893,2.0983247957619153,1.8992259962177596,1.8156985600569133,1.7903614174469582,1.7032473978424163,1.751602150421177,1.509320240361702,1.532002547857941,1.4289570255373016,1.3511667025812224,1.3972354026826896,1.2929516288231135,1.258134491104159,1.286204072725027,1.3201690026302717,1.259364702649338,1.2776554322399012,1.344370867300791,1.3032537916699245,1.3116698070556065,1.3900572751477125,1.4341228575289642,1.376437307915638,1.509851110778147,1.6136581178889282,1.6058416214155253,1.6326494167620902,1.6341083824032805,1.5160913589080591,1.559468096687237,1.7039318089654918,2.136496510352063,1.9436847948835843,1.8753725341819574,1.6887993195423525,1.6550976745504935,1.5548270365132884,1.8249811802051963,1.8625116569182365,1.6241168579735794,1.6985750467273923,2.0395661408157704,1.8546189249213239,1.6694060889305584,1.9457457973838506,2.032477746430289,1.900906209224723,1.6637905014593015,1.5861359402877455,1.5298215016213788,1.5947424502887375,1.4906117684721596,1.4668757211567676,1.4284243311359464,1.3263022733851797,1.3494760191778192,1.4294030249394007,1.3167718339457248,1.2731104810252076,1.2624344766687543,1.2522522386283517,1.2423016523985633,1.2663796850124005,1.3062369677062087,1.3278341112427008,1.4903959546879086,1.3909848919901058,1.4244330845433735,1.4278711810788214,1.4384285044256426,1.374126654297406,1.5392661209403757,1.5504417479189618,1.4030743050839898,1.4928696423628909,1.6247259001371688,1.5739766314687014,1.5085016222047518,1.7309732235744553,1.8948804779072952,1.603199568595008,1.707628858432033,1.994607803548442,1.9851031766457587,1.8080465716641339,1.5893198101906956,2.27279285284703,1.796498556638787,1.7704419119467762,1.6175098154143697,1.4339364295221582,1.451266824621351,1.6593144514665419,1.4383649762808381,1.4248495859055879,1.2921061337695199,1.2864153731133643,1.234115051191332,1.2846507106938432,1.312023417768465,1.290888962371247,1.3182322299653075,1.2896754101701569,1.392276683305548,1.3701356193207668,1.2673046281452374,1.2688476936369317,1.5974950171132845,1.3179792475903087,1.382455058819869,1.4782117256957932,1.8367901549471608,2.17827148460919,2.6613940014121744],[1.125044857156217,1.0797635175018656,1.2465337784734731,0.8983699025118723,1.0202577833760254,0.8802290451762662,0.8917500323763237,0.9067580832784298,0.88334166956564,0.8618500102491524,0.86420935713052,0.8878942011521421,0.8828212818670567,0.8744667272076353,0.9155341398568143,0.9156520110405233,0.927462560252915,0.9720078971641651,1.1040764052539564,1.1111695462550264,1.3079719200663118,1.2575224161104024,1.6361391544904607,1.715850806128291,1.5491943560919064,1.3067918033590755,1.1576808129676464,0.9958792892682476,0.9482537977023109,0.938983301460141,0.9578662813348622,0.9135011652114259,0.9093687619581959,0.9581273011997469,0.976612369851802,1.009813585514461,0.9728200144187557,1.024061666328514,1.008782825604213,1.154097627439006,1.3122007831765032,1.223347533159077,1.3560934252225034,1.5810618620251886,1.9708708417492289,2.402333296609312,2.967716990210352,2.18307977386805,2.233647904097354,3.3848708496122994,2.3888093657661384,2.215649532723913,1.7080350187475322,1.4640523359122621,1.6605366784829572,1.5982970483304724,1.5426626735249094,1.390849049730595,1.4182799592585336,1.9309329655467664,1.3857729206817186,1.336618714381486,1.2241440037092137,1.479594310260345,1.418614316590984,1.2031305149423457,1.3352359353388437,1.0979177336675001,1.0977540521280662,1.1443770134330107,1.1955265142403284,1.4435639227259554,1.1682227045985556,1.1967067242026048,1.1385845747213426,1.3471108307619155,1.105056808548475,1.080064974713081,1.1362431577244088,1.2328267156618973,1.0179745820753847,1.0766198759154384,1.1650504761695877,1.198909427002439,1.1395935303114464,1.0115691848776804,1.027346306895446,1.0092776757458262,1.0549753229982932,1.0192591023804232,1.0325358617415499,1.1607058330728037,1.1094436890467205,0.9532778074111274,0.9150518618010143,0.9814717180830244,1.0537456713648679,0.9343386647256875,0.904182550836378,0.9121735139954967,0.922796630306138,1.013094715149624,1.0193796791261527,1.0497826190479742,1.1404702182647488,1.0889163886162594,1.200618409302833,1.296794406069145,1.1253339521158459,1.0991089268105378,0.990199388967412,0.9818655862515938,0.918036558337297,0.8981386012674254,0.9416788499764933,0.9571864104292741,0.9528026457827753,0.981213903724318,1.0928832993904285,0.9850626683560625,1.0178594824611313,0.9701840856635429,0.9539350820849308,0.8687103259733802,0.851658183016391,0.8569806982711635,0.9968203316812596,0.96750052834848,1.0659527367352621,1.1345445542246195,1.1963003198328324,1.3054978875199228,1.3823023108154775,1.29290215764252,1.2421132724211463,1.1296598519174392,1.1385037661188695,0.9874236293553352,0.8514527646306972,0.8977067018148384,0.949701776956536,1.2183155071772787,1.0389604089245839,0.9532059504619846,0.9959300033242513,0.9446734694967875,0.9273976928402049,0.9426603617539097,0.9623102568190519,0.921499475668218,0.9482720163528695,0.9408894924013104,1.1331863908295734,1.2974062082727125,1.1563150643432607,0.9486812183329423,0.9074019593690844,0.9382547404613657,0.9643411884556292,1.0234199814428124,1.0353625697341897,0.9851281227250187,1.0227376880380012,1.114201264696063,1.1604362201908405,1.1953531462796005,1.3858109381696448,1.5750350698832958,1.511733739308595,1.241002860229182,1.2327480385643284,1.0879535173895132,1.1510661286596675,1.1238448963236158,1.0965917724777245,1.0870863424022998,1.0393792598644893,1.1086123992352792,1.1580813247386623,1.1258308461073518,1.1377899806841791,1.1718712000913343,1.349012097633852,1.5098801914394098,1.4077661927697314,1.465998323660722,1.2748226757076866,1.69231160293812,2.116390829183117,1.867999222618115,1.945684151431474,1.682115186792259,1.7453515254242633,1.7041165727491987,1.6114305807489555,1.649886356395199,1.3828274281007493,1.4062525142178526,1.316945967432104,1.1898068001255564,1.2831234306735426,1.1484341894519894,1.0738526713552183,1.1537844141246458,1.2124676582117613,1.1262534644853348,1.1636133197850191,1.2408409948707357,1.2108448054081666,1.2130675476947483,1.3124925239576102,1.362676300549051,1.3111749324223518,1.4508381475093564,1.576381029672731,1.5119364318819608,1.614765851349559,1.5049748360763482,1.3837379755187658,1.4303487037787859,1.4816581405314064,2.1365385852575702,1.6015005998740777,1.711992833253627,1.4840359569668826,1.458741930682847,1.3895768260892623,1.5312786406957795,1.6072695317486294,1.4109757131771636,1.5437306152687977,1.8590462015771552,1.671182166419455,1.5156188749402446,1.760734560799744,1.8364500996128943,1.6909737087864785,1.608765777994074,1.4624777757509964,1.4309386677592764,1.4723863656667657,1.3675065038392318,1.3528580749920085,1.2981306021479742,1.2617193116151455,1.2095790545914962,1.3089029433973423,1.1841854676100827,1.1198011336643723,1.1762243307935734,1.1751069755335932,1.151260109369391,1.1469912777293603,1.225373806348451,1.239676304282578,1.371445609741299,1.3224438741181888,1.3363707419249977,1.3334271139513947,1.3056701983550554,1.2349084283034417,1.3775537930531785,1.35915021161686,1.2892106767762124,1.3223494639826512,1.4031070751845507,1.372807439988478,1.3316288138917285,1.4613162358010308,1.5992147735092017,1.377894359669082,1.4463609147226486,1.6575746480139761,1.6727465815423406,1.5526385126674553,1.371241842324772,1.9212313496057047,1.5813882616279495,1.6491195604968785,1.513840528398424,1.3244335560645462,1.3541276816738792,1.5293597667665253,1.2977600835478553,1.2289789227843377,1.0973360809162744,1.1239311520330848,1.0700809208992097,1.1091999883250583,1.0270786289822855,1.062743368936425,1.0565357288495787,1.0879891112191047,1.1147892435337405,1.044750823920876,1.0820087846495314,1.034381294208636,1.1695136728140367,1.0083165602352033,1.3168900293804244,1.0847056303578495,1.4748984094531632,1.5600441093579567,2.3068172040862716],[1.040974632987497,1.069248886113691,1.3056928969594344,1.1399681747259032,1.3731741770701167,1.30217429015063,1.313103498891746,1.325132122585571,1.3589354770995261,1.3920825094531946,1.40862800255339,1.4131085689389515,1.4513649292089108,1.4555836435763418,1.4989588825780678,1.5091164499416079,1.5478659544665423,1.5931660270413068,1.6506126109486925,1.65222873448682,1.7265488733660164,1.6646283658763144,1.8800785652031156,1.90371596660452,1.847203726527588,1.7266961170234434,1.6450676520291285,1.5887147518338043,1.5712788681293264,1.5300791881664402,1.5695170781026009,1.4900768572651266,1.5138919769531716,1.558384157236514,1.541451551892892,1.585466918366899,1.5419245398614918,1.5783688136178704,1.558389139094388,1.5824161395119758,1.69602841330838,1.6792329262804053,1.7778317848449123,1.9508662266542158,2.3112066272802547,2.6044809856934896,3.1003755556314947,2.3708316093111406,2.3340529513628723,3.3055313304780625,2.44506722105251,2.291577017261632,1.84653098910301,1.7898517709251074,1.9552912513489118,1.8432219682841453,1.8188030870557599,1.765284880220874,1.7258759021666517,2.093507878669142,1.7347370767325223,1.7603850702200354,1.7011144101991056,1.8758071792811872,1.8183023324504697,1.681616528733229,1.7739125201960115,1.666089122469706,1.6829579051300998,1.699304677598523,1.7471871870935203,1.941185995152578,1.7364241478153428,1.8309480426516234,1.6943276137054453,1.7884326995300637,1.6832441903382067,1.6591875791811084,1.685627758644905,1.7231251193903558,1.5495631764775644,1.5431221968363258,1.6134099516449987,1.6161905127122183,1.5762687382333496,1.5419864090908322,1.5497412685297722,1.5483382911919836,1.6098340800859996,1.6055081435268532,1.6578334648718347,1.6889252411518787,1.703676292008681,1.5943724079919261,1.5347223944880992,1.5827345408232656,1.5509050413707477,1.508117638653506,1.4666733374592136,1.4378112859864458,1.4240748739664475,1.3811310230153189,1.4412681407704024,1.3936793468504949,1.45920663266426,1.3698751948690013,1.407442356522538,1.4748278951000473,1.3160185949559717,1.354187530639797,1.3049151469418276,1.364907267173675,1.3484533519867692,1.3666084936956937,1.435811603719711,1.4717681817586425,1.54124222194856,1.6010368954553265,1.6977006262915315,1.6089615731038684,1.612773006105583,1.566267753462376,1.545641011956876,1.4463242636051696,1.3632554109590578,1.3362334536708147,1.4535932864524947,1.322533155610994,1.3440053535304208,1.3910092677770114,1.3870894774504832,1.4293500428448187,1.5409893155512493,1.4939026400285336,1.4906481578973658,1.5380900594041451,1.4784158383026582,1.467838754936892,1.4267473997894669,1.4570962883449052,1.5560735861311723,1.761767158345109,1.6329445046134585,1.5445908692613335,1.5620139878530297,1.5666630427094064,1.556304501576478,1.4990634232818418,1.415253382406263,1.3919005867254315,1.3465416831242347,1.350116855858227,1.4457210247208125,1.637282382861282,1.5792559841552813,1.4087115349998807,1.4209243460905934,1.3486961527432946,1.4384117847849882,1.4016905280247212,1.4578190208266155,1.5033423390828904,1.5333356039168697,1.5735731394760177,1.5220721238998767,1.5888431819468976,1.6458729209405287,1.784219227569094,1.725630156246491,1.588076242800601,1.550967481464297,1.5087283882980111,1.52705696328772,1.5087363169631318,1.4977000482855494,1.48905481809979,1.4845157364326713,1.5046651929591492,1.5528250788086118,1.4489210597073743,1.4860351779955019,1.5014660530650712,1.5948793166621646,1.6932882264847042,1.6372784756485081,1.7110931543966545,1.6304056061496173,1.7721365469391948,2.2514853497191263,1.9521990539190315,2.016957503098656,1.8197949982805672,1.8865261017985318,1.8275218514019096,1.7071773581406864,1.675241586193671,1.5251857635550843,1.4747817584157676,1.377832633435782,1.3158600940463931,1.303872963631767,1.2262421664321776,1.19940861748242,1.1964516594222532,1.2028154246003542,1.1870184954945273,1.2084827955498598,1.2183583594465333,1.200566422869873,1.2512083535468963,1.283513770349555,1.3135270377155328,1.303032511228376,1.4470542960944728,1.532029115836686,1.490337700304793,1.5354420995867324,1.360971003098754,1.2615950209321958,1.3099864382770314,1.325827507702856,1.951148068738487,1.4425509130410679,1.607854948128065,1.3743111535294943,1.327258538560936,1.358778388035391,1.439446409200903,1.4810756731434662,1.349202886925527,1.461788892529554,1.6675995499445013,1.5283583585838636,1.4497541026683636,1.7102640064856425,1.7550030924810407,1.5883312479847909,1.5959123467760918,1.4275495785036771,1.4762100477280935,1.4577253284136493,1.3517505178555234,1.3697855624743673,1.3301035663160181,1.378227116368152,1.349600970781288,1.3050521636383103,1.2420703606475307,1.262986025875937,1.2029490314675264,1.1989150758268439,1.2077157234204816,1.1732704442862631,1.1986024386325855,1.2224957531560967,1.3895279925813666,1.277000168876888,1.2832261801184655,1.257197305026996,1.2535590641257508,1.2328149169936304,1.2941908086262854,1.2877305929005498,1.2022495532271145,1.2622822221878403,1.2929101373547822,1.2876785970410167,1.2584456188308675,1.373950022909808,1.4731657413926502,1.2684587608493505,1.3586288989220652,1.5371645436414116,1.5135539864302492,1.3853281765817884,1.2424616671578979,1.785364944181048,1.3947132016912267,1.4228266613668379,1.3910431756128763,1.2569586098794905,1.3992729965231834,1.5311879809535258,1.2510899197813812,1.1817843569209363,1.124257917630088,1.1273416750912737,1.215861930379404,1.2587244783788505,1.30031826383419,1.1862814947277096,1.167443021690684,1.1772169511117057,1.2057691232205765,1.2195062561273897,1.1962376873959126,1.1902432312789906,1.3048667346916372,1.1816171093515526,1.4670265760787644,1.1785142304809675,1.7720212898044203,1.7679884630112035,2.6387568749919925],[0.7706413565124037,0.7381823589047448,0.8959174475378009,0.5974938965303227,0.7509130403672684,0.6862424962940222,0.5976702306442876,0.6057529677004444,0.6398441681668822,0.604999321916269,0.6315457796993627,0.6546613671497237,0.613314275455901,0.6406183550973215,0.6797721879253233,0.6440024082925467,0.6793165024622267,0.7170270601704036,0.8432726991980601,0.8036793506845945,0.9823589659627272,0.960302915287819,1.24888209856509,1.3367851323265791,1.177108524588168,0.9716380995646378,0.8319124582960684,0.7048840829733501,0.6763925488753453,0.6333235624645909,0.7087369722605319,0.6066244666346511,0.6325745201737222,0.687495871770885,0.6588823475993367,0.6983393176785763,0.6470316207581355,0.7168225580461023,0.6854696583407872,0.8056129367684194,1.0122173774401093,0.88393437018966,1.00751802838912,1.2054182008783147,1.6488939333475519,2.094948151622523,2.5272797873500363,1.747000652914677,1.9836996842250914,2.9995670750589034,1.9257852097550696,1.8681684791136983,1.2842510522038464,1.1017339340609946,1.2934451887527918,1.216545195481196,1.1618803466469938,1.0578805380041876,1.0482202734281834,1.6477616040423309,1.100866273581344,1.028916917999306,0.9060662030553407,1.1884602802102913,1.1128889753861382,0.9014564677139797,1.0204366837027663,0.8349875914202054,0.8807634639743755,0.9609849002493782,1.0462231062172955,1.2984692227341603,1.0045851883736308,1.1121976333871946,0.9093736626921612,1.192490201279557,0.8472076305920191,0.8042308471262712,0.8155774807855686,0.8809388427353391,0.6867820285402358,0.727501184315973,0.8702963189511347,0.9708183948740656,0.7923495053590023,0.6474952174925561,0.6786856835361623,0.7081056661603344,0.727665028452488,0.7195865166291173,0.7987116609584904,0.9696082916188538,0.9183406576314632,0.7374870143285092,0.6903726754118354,0.799258955264071,0.8669212486269654,0.6903646045511446,0.6381692802481231,0.6719644780573399,0.5840496707584939,0.623967046800257,0.5948996310943457,0.6055395298302862,0.6644568413852117,0.6430946756170834,0.7337536846222066,0.8482535094187017,0.6844817749421918,0.6898767682220026,0.6349815608160565,0.586858467777887,0.5629805333742958,0.5436705526692589,0.6230230730215239,0.6799224823797261,0.6900971408670732,0.7500576782223936,0.9294884801520507,0.7598599396984208,0.8118346847877,0.7693731102709759,0.7475702985098343,0.6208865803452528,0.5598756739832929,0.5206116172998957,0.7146095455485639,0.6111236046986677,0.6404954726817077,0.679690397615794,0.758599001386568,0.8144699916244775,0.8904920194005209,0.7918692171256895,0.7847256181215813,0.7459490038857179,0.8078356911648819,0.6634260880537504,0.5594998959960542,0.5863163147914524,0.7042635025164063,0.9384853700753444,0.7683756731560561,0.6457703455691208,0.6646366901734835,0.662159457433661,0.6560065424328851,0.6080586633951909,0.5684027354568586,0.5830253937360621,0.5888504882972374,0.6278349293811155,0.8309796395910943,1.1657790693931225,1.02268016046151,0.6395885053670358,0.5958480100694603,0.5529146976650581,0.5788823620125052,0.5903342782813743,0.6201542064233085,0.6123554571231099,0.6649979744017398,0.7230260504314217,0.7672770697867234,0.809366980267765,0.9648524034469587,1.2073656095412935,1.1481738982490242,0.903061158025648,0.8298406204111051,0.6953631606034246,0.7207479220215144,0.6851750311679368,0.663561097695783,0.6510377924125426,0.6558332600739538,0.6777649556615524,0.7213037218655463,0.6802541358395399,0.7637646258694737,0.6924190849784534,0.8387299340560643,0.9920777292498293,0.9333153177090022,1.0390493607056697,0.9487654403691491,1.3823985527403992,1.9605912096851659,1.5097521726484895,1.5437987457850273,1.3354477339536552,1.2994300750867025,1.2405949755940486,1.1122086233074653,1.1811070286409342,0.9562713889833364,0.9566850742422095,0.8713925689543338,0.7877857634631519,0.8151737832142267,0.6894041575219382,0.6597174884723626,0.725794838432751,0.7584601954280589,0.7035293655856827,0.7569421699499839,0.829915086611435,0.8169636881145758,0.8785065261882874,0.9780496623712092,1.0532858993675986,1.0384408983972393,1.2319774350571984,1.3572048600925102,1.2655010274271936,1.3680852462981394,1.1549374040862874,1.001477321870938,1.0724824560039325,1.1300131111242497,1.7746107861520601,1.2547485236240967,1.3953939433802127,1.0414838069345314,0.98189614592815,0.9601303742393803,1.098984782980939,1.176552743981426,0.9984011401898342,1.0862121391506145,1.396828408030761,1.2678883572398771,1.1026933769810225,1.464254368472663,1.5722654665566471,1.316326357036903,1.3498412962532862,1.0146861332429409,1.0075017419320402,0.9810619408419624,0.8806557646124165,0.8578505533098076,0.8409003779863247,0.8248332373397648,0.7842639387170753,0.8380378193026317,0.7243735767311995,0.7154225708287917,0.7270852062717355,0.7550871426747103,0.7988259425097963,0.7664672343540673,0.844351735904751,0.9131563930829399,1.157204631053192,1.0199442741579445,1.034981905130713,0.9694989878055271,0.9102186659538268,0.8149373062839321,0.8943136495749628,0.9520361024427353,0.8443740412480162,0.8678378407900422,0.9632217759940758,0.9593928866757987,0.8846461650765569,1.0828743639330098,1.236007124876863,0.969218864714058,1.0747090577966516,1.3450467924380094,1.3861674568580624,1.2048300310623639,0.9873378176538259,1.644015384600473,1.1940882637767796,1.2270348859097615,1.1312628962273692,0.940857264917273,1.0253733971364076,1.1646072279005426,0.844585889227734,0.8098582415181532,0.7292659598404129,0.7423025053255868,0.6869173104620507,0.7151788216559287,0.6485660346761106,0.6810072970164144,0.6573381949688988,0.667352727901119,0.7288120038219692,0.6961985590306313,0.7097226835614767,0.7031383724096999,0.9288126046921161,0.6869852694600891,1.06820347415726,0.8105955422123748,1.4626047608328068,1.4960297019056028,2.261926584625386],[0.6664735080788521,0.6108049939967672,0.770400312699662,0.5040059637001135,0.6336814411674357,0.6080390714623869,0.5200959825900242,0.5398548960608002,0.6227986380704771,0.624420187484076,0.6572020951462578,0.6820761183562981,0.6259530984725332,0.6696684117458274,0.7134507734955654,0.6606573257808489,0.6891824428804652,0.7417618849626547,0.8751820046924701,0.8314040618042836,1.0299263220955837,1.0207101392795808,1.2609959639027448,1.3714809077165413,1.1830110132038012,1.005979257935081,0.8511984923069569,0.7228394150374963,0.6938127936372299,0.632099698650813,0.7482366031119859,0.6250242249093259,0.6780258445546311,0.7147323038755988,0.6720046152799092,0.7129600450267943,0.6454123154332985,0.7409671331002333,0.7031471557383157,0.8115062010630999,1.0336894039126918,0.9162345986324445,1.0181252331967146,1.1729901534952043,1.6027120284696466,2.0150298089678937,2.4255705534804397,1.6691629908955747,1.9629911314464163,2.897399649206686,1.8361772978708117,1.8577270278756501,1.2481051833484986,1.0762984151704742,1.2413509830506049,1.1934815675822832,1.1482104240080335,1.0728701191771375,1.0684739919327486,1.6789444985411928,1.160415754126992,1.0701619022955242,0.9523247460611588,1.2359519631220255,1.1571251053717992,0.9438725972401084,1.0707960240426555,0.8789249283083826,0.932060121718941,1.0188095903022054,1.087742647430825,1.2978905939458045,1.050265916245595,1.1624415294359498,0.9507231392749431,1.3110057746056427,0.8881750923709103,0.8449407298970428,0.8271431948074882,0.8904077332362763,0.7009363891824938,0.7350562741039552,0.8521660739025667,0.9508175659008354,0.7780627405215406,0.6465536957576506,0.7101285872162251,0.720639117290705,0.7510527463927582,0.7370223095746677,0.8263845643756582,1.0457087549910384,0.969623728403532,0.7818054739564474,0.7377224000434385,0.8363571792037511,0.9043312414498472,0.7170485061112913,0.6535782461539398,0.6596385756881631,0.5684241335391159,0.6174959513399938,0.5654817238511644,0.5408621873101749,0.5892793555977806,0.5668154107230929,0.6551554595290854,0.7742809583285917,0.6253058416851038,0.6376428713698136,0.5767091721208519,0.5322894563040409,0.5063241073597126,0.5245131437227771,0.6021102450952861,0.6833444453160417,0.6963847275502235,0.764258058429381,0.9569421588159035,0.7886773898665851,0.849946047079721,0.7832316238655616,0.7540315212342736,0.6123872670457066,0.54776771373967,0.4987010477412435,0.6011860966434803,0.5682433489633963,0.5642623335297748,0.6084366262975125,0.7000646559002648,0.7547126010603021,0.8365990046463244,0.7332128733011081,0.7347702011415671,0.6810349156576198,0.7695048308127691,0.6362548873085169,0.5742758880313639,0.6127969173314065,0.7398547714693844,0.9615866310891467,0.7924218375402678,0.6661268650548279,0.6880319934455945,0.6598287887825525,0.645025479578567,0.5856446209552802,0.5302294475669013,0.5430165247432689,0.5329725064480721,0.5889662643827206,0.7819196663570037,1.1467147205990358,1.0044216861693267,0.5835940849958902,0.5485618316004884,0.5219749287169689,0.5543199839488648,0.550904697076505,0.5735387020144054,0.5952054196343969,0.6535036023489649,0.7048189406572828,0.766507649241727,0.7984164676491524,0.9464661861534622,1.2005412216502995,1.1256243899651421,0.8927065190094008,0.802893658431907,0.655878931154787,0.680986752530151,0.6490812538681794,0.6311191950128316,0.6082637404112539,0.6455994319983711,0.644581055841703,0.6816774263419416,0.649516939712729,0.7490711203783467,0.6283799880169374,0.7772045968204514,0.9264951178159956,0.8843017159262697,1.0024918161602527,0.9456548868059838,1.363300900453637,2.006689289158837,1.519428315026855,1.5509484323903353,1.345044105077502,1.262086572898704,1.1794011321821563,1.0448522601242243,1.1331343612597675,0.905240343801103,0.89937226226015,0.8204286200652273,0.7496608339352353,0.7449218939045863,0.6225084491611008,0.606744232133956,0.6537513976028192,0.6717787882015507,0.6096655301519985,0.6503248107235698,0.7161206201861177,0.7083834551658125,0.7638798786509463,0.8468297610267518,0.9361185270694045,0.9531951032626198,1.1330185904311636,1.2492494494112976,1.155072969706289,1.2740785584626748,1.0597699656632227,0.9016940975192832,0.9794017649412813,1.0845033943292546,1.730804229404034,1.2451344650725384,1.3616907058343695,0.9732899771192286,0.9216247806762944,0.8817389047507681,1.0277511823903438,1.1328611662111192,0.9392621344381634,1.0382853102151939,1.3528122982998714,1.23777134711971,1.0731456627042637,1.436270923192697,1.5933489088652504,1.3000155947727214,1.3450919537321675,0.9646003979429237,0.9529701653186435,0.913424517537653,0.7972625294205555,0.7791007556679762,0.7650731505440178,0.7517328124791293,0.7130532369178897,0.7347678321471087,0.6396266315408322,0.623066765466781,0.6422501262171955,0.6788049739917968,0.73552908139776,0.6849169348842686,0.7554210158204097,0.8574696604940025,1.1090030457372095,0.9441049967519941,0.9484936094347485,0.8682868021257434,0.8096041750545064,0.71132890601271,0.8103244968403146,0.8649753520572355,0.7499307441157729,0.797159353429777,0.8941421008316767,0.8786436408615897,0.8175208141425134,1.0528182221295428,1.2063441259648153,0.9271292071564979,1.087767171614973,1.3449919025814352,1.379635205221927,1.1891400088483846,0.9468551114902973,1.5689362029096365,1.1058774516881003,1.1373902275038001,0.9816451865984401,0.8209831954968907,0.8717302476091663,0.9705206536101486,0.7175976260976874,0.7505106365828809,0.7271995569128527,0.7300078177132664,0.6277611738735669,0.6711046254831983,0.559425125335129,0.6302174752513998,0.6220532973299393,0.5896738340627029,0.6890809518119667,0.6534405239849745,0.5868290556887206,0.5960150251699233,0.938841266145466,0.565872887017199,0.9141683123222084,0.7173345507379286,1.3652322280731761,1.4334002984090357,2.1293657772790096],[0.6744961597624304,0.6371089958997282,0.7343312520671372,0.5806296364790238,0.7001431746135184,0.6856874683767586,0.6011938982217903,0.6203067214813677,0.6641249161331312,0.6582678740850174,0.6906070573623758,0.7442736768897235,0.6713711224639641,0.6998212802297228,0.7523828155001648,0.6924677800461625,0.7219202071702157,0.7682511302578859,0.875866337293618,0.8298852950317818,0.9763361519237282,1.0042278611418485,1.1883086506123026,1.2998009118781484,1.127299651928641,0.972142247663823,0.8598246726450942,0.7621811543448834,0.7374343227235001,0.6742609667943857,0.770434413553957,0.6729849450010714,0.7229609514105139,0.7507545586549605,0.7084942137803283,0.7512617158396814,0.6979143884726408,0.7753362394582148,0.758426189211038,0.8518793025406006,1.064716448387744,0.9432792804780982,1.019932581699063,1.1667972032684304,1.5865473397702372,1.9710103388518447,2.3194742982310084,1.5793566110317363,1.9680327850233008,2.82299754120774,1.7282495411708703,1.8565450121088516,1.2346682289114097,1.084808505540385,1.2629450791826813,1.16602814324076,1.1250626336920102,1.051886221279871,1.0338086630058696,1.6598040199835886,1.1561281734979443,1.0475295723439262,0.9278603170076554,1.210454211962867,1.140509459543588,0.9163296586698065,1.0298554614980082,0.882823576974742,0.9538686639109807,1.0098365752009935,1.0815982998220146,1.290278243057997,1.053523861289481,1.1996710068869991,0.9529762376083741,1.3010060190893087,0.905554558136856,0.8759299781124913,0.8714179038900234,0.904201393826606,0.760251850388097,0.7811587731472935,0.9419455121851399,0.9568325799372658,0.8234999391917563,0.7164046569705405,0.7692690183304531,0.7847381610869874,0.7849293131609231,0.788100613384991,0.8602442111358125,1.0571101012505328,0.9912340619133702,0.8132616676078286,0.773909064283699,0.8713907890693248,0.9389727872755538,0.7637476011843758,0.7138100782042981,0.7487645547895455,0.6275954900617016,0.6848806759642337,0.6196472617133256,0.632495825137531,0.6693751354730639,0.6833356089805623,0.7241953403006334,0.8172699092886213,0.7170277163703224,0.7139491252741977,0.661591284817714,0.6277632168106929,0.5839278683809548,0.595212413453768,0.6380294905616382,0.6918318155844622,0.712157651203221,0.8128439317116781,0.9901789328551452,0.7974505811036373,0.8462499684272202,0.7711760349223169,0.745309199143567,0.6495175718044492,0.6040534392702647,0.5920481431749541,0.6514423972427696,0.6594663722195665,0.6481101064337466,0.6895660288551522,0.7543135421190144,0.7835719823497704,0.8677939740742615,0.783029788430801,0.8003271572753236,0.7464151688822502,0.8890577011510645,0.7358464466762916,0.6803314864107957,0.7088154654593615,0.8476068410201274,1.0534087126411211,0.8792914425477699,0.7546564022046647,0.7707302842603196,0.7409295135819742,0.7208091418765117,0.6475900510055433,0.593071390243068,0.6020150061100225,0.614361175839248,0.6834502042106239,0.8526577519749052,1.2644208084202693,1.1162382654778285,0.6684079282553834,0.62276649484428,0.5911811692135527,0.6091627554953761,0.6313425588783214,0.6433707714238664,0.6653516228530666,0.7445397361376316,0.7799347229238841,0.8431031467844022,0.885533279125494,1.019330506440642,1.2655327692061762,1.1897599133382957,0.9841869798705006,0.8875278783317858,0.7526769451124122,0.7573809347674592,0.7250005563800871,0.6944870776130203,0.6909406659362094,0.6879261686144462,0.6990742974981178,0.7455642259669155,0.6927830703002612,0.8283210973853007,0.690564860349001,0.8171180526243775,0.9421754822396821,0.9230685526661079,1.0028259119377996,0.9800535188549376,1.3527590325510375,2.047247664746347,1.5258284179568493,1.5329065568760187,1.4022833423481973,1.2991516164303996,1.2230839321018137,1.0566582953373318,1.1024540023982958,0.8975028922366795,0.8881930306672801,0.8385988879265776,0.8235983210166843,0.7625170231906553,0.6694138990673812,0.6708343828066037,0.7108111822140658,0.7167578875393361,0.6540461844218967,0.6856177371189885,0.7548443793002819,0.7377792823765282,0.7835499935023647,0.8583537290386772,0.9449133557624382,0.9620059112446233,1.1521056761414763,1.2364068009171565,1.1256912747703824,1.2714612970620565,1.0543211149958622,0.924207737662087,0.9819102433465602,1.1062575810694306,1.6052068394656864,1.2539718182986201,1.4038359115597336,0.9745976494082464,0.9225272898643111,0.8813853659997405,0.9893404590648949,1.1094051823396562,0.9425694146141403,1.0072257280501407,1.3204540011715569,1.2326074399693088,1.0695167297574055,1.4046326491026202,1.6073524256897829,1.3234915894225419,1.398933360103012,0.9696593945418878,0.9496852797635649,0.8771328844323357,0.7748427476721129,0.7605725434192617,0.7908860793011722,0.7754759393146047,0.7114810211783892,0.7375872205850843,0.6789546154337314,0.6732608200954762,0.6791956124038978,0.711531912637722,0.7792786609864604,0.7192602536142968,0.7688796146050578,0.8896212250292509,1.156525825833674,0.9494769952831503,0.9486400853941134,0.8688773256541454,0.8170275861875758,0.7371128047518473,0.820689272420345,0.8601906634909712,0.7894616523407535,0.8250284019984584,0.902437376923202,0.8916184655675611,0.8485412735457231,1.0419683111087281,1.193344029175488,0.9546322729387317,1.1269852038809134,1.3209020673123875,1.4110778919737101,1.1903311060687696,0.9686419376919353,1.5548404355829095,1.138733386410034,1.1443140645991934,0.9798108890288818,0.8412949434083138,0.8548250551423299,0.9251744388478649,0.7520610902799043,0.8214183929675933,0.881775333525878,0.8218812015131925,0.7161829024729877,0.736351111235333,0.6343129277083859,0.7115680144577315,0.7250179659046464,0.6550349163905254,0.7874975907829911,0.7470132897496523,0.6279284467652643,0.6469296516875161,1.005382354093465,0.6148760690005465,0.895426624574254,0.7409516026198706,1.453600311686331,1.5246871099157127,2.1894172248960464],[0.8570234580835957,0.7918189753933202,0.834802820588449,0.6915574930448225,0.79196296353608,0.7579997058120023,0.6961434354413955,0.7084432398900825,0.7468769100493515,0.7475675440510441,0.792763537583562,0.8477628626949255,0.7385948484059092,0.804026428607743,0.849577754347582,0.7880019860433618,0.8100578242747833,0.8778664491722991,0.9765261637895438,0.905553722604584,1.0502056442688914,1.0259745904590245,1.2388463295936194,1.3330613838559442,1.1469693479583973,1.0214096629534906,0.8781098832652713,0.8298943441863228,0.8089610756876313,0.7329861789884384,0.878448031319013,0.740542910011811,0.8128789255253838,0.8466214430531709,0.7738448553470693,0.8257564532332436,0.7350716265360971,0.7947144187978087,0.7579879109545581,0.7956988951245187,1.009105443860115,0.934095413788916,0.9797605446837837,1.1348781721081524,1.591650997350925,1.9951229937234016,2.338881046091282,1.5751891105996019,1.9202223821445423,2.831078076410509,1.7420188988287455,1.8519563602722935,1.2463279725287426,1.1144443437732185,1.3068079439659763,1.1662030281265132,1.1216925819466168,1.0229037876641425,0.9999738351985307,1.6171321942818249,1.164430021392383,1.0654496674044165,0.9817283905643877,1.2663406189111648,1.1535566973789049,0.9699654020840683,1.1130091419580437,0.9953110325303056,1.1122198929083638,1.13614890002334,1.2142269396481036,1.4447013098438268,1.2062270489978375,1.3566710299074272,1.0961249134294262,1.3500557889952083,1.0035111972628985,0.9643858385491592,0.9326175850933672,0.934626210775795,0.7541006401774674,0.745379693354943,0.9226135943988356,0.8647258279641087,0.7678931914174076,0.6954390565933857,0.7585298290400111,0.7950765385934772,0.8384271761317931,0.8396635184169117,0.9689403534541272,1.1513202434635545,1.1022502762286484,0.916302560692186,0.8771217503843838,0.9715131956835938,1.0236376188370309,0.8584261172006725,0.8036232484655198,0.8530319552414979,0.6945789160324358,0.7255687532357783,0.6336744990588292,0.6470154211529555,0.6627278431394319,0.6728670499069727,0.738960926417667,0.8256941129858898,0.7562649563702654,0.7581909239415957,0.7060538664070859,0.631886359289527,0.6368093965555134,0.6202306008942998,0.6979147593907892,0.7425820501437266,0.7852332873090723,0.8964163676959689,1.0806964968544877,0.9109893675420194,0.9626811205957855,0.8623254887434569,0.8227793536151088,0.7222096983118681,0.6685312230874781,0.6132005237640876,0.7201076733250987,0.6839570795282403,0.6640112025907536,0.6886334085619196,0.7725354415335324,0.7944900877194369,0.8451958178638939,0.7685835672607495,0.774312569969174,0.7592451233259745,0.8661620444670515,0.7169239214549589,0.6681769791092909,0.70109328813445,0.8593477505569296,1.0820900054196763,0.9101086532181436,0.7702901496723005,0.7762245971196332,0.7739244544593217,0.7564406938267272,0.6964177552195461,0.6283248165659918,0.6606955278062909,0.6709865966622954,0.779070161505516,0.9370045160147717,1.3728671057633357,1.226265715714583,0.7666482494842527,0.7031138349224237,0.6518956312371551,0.649628018270732,0.6342426040293088,0.6308085532014293,0.682488025838502,0.7340131833151036,0.7419507375540358,0.7553426383788593,0.819426975299829,0.9440705849415122,1.1934887247546573,1.1270771832210247,0.9280599568563256,0.8235288575205473,0.7165027236407169,0.7151020814397001,0.683941127527815,0.6583064355893851,0.6627001137659682,0.66867035819063,0.6978017859592535,0.7150707618808365,0.6614727591126016,0.7594867549325828,0.6695693161070727,0.7768781847547133,0.8965524094569022,0.8503868697200934,0.9174409057488582,0.9000878187309114,1.2939532119816,1.9366856194980095,1.415238977782123,1.4239579364835844,1.27052863447512,1.21428914030972,1.166011512790499,1.0231209814068096,1.1039229454322737,0.9218054456549368,0.935136061601096,0.8998627269402665,0.850632963428483,0.8543096658800969,0.760726066381077,0.743534462736566,0.7970163728527959,0.8141522319377861,0.7680713937225727,0.7928352625196675,0.8556617063453654,0.8645045951449771,0.8951246326402897,0.9697850795958446,1.0675533008191815,1.0696283153883637,1.2407484026026858,1.3149576752204604,1.180164187090693,1.362490899951511,1.141233723569294,1.0221824602568823,1.090608282877821,1.2202305676967573,1.8200157648391357,1.3953271472989761,1.4867049185872325,1.1075474107392198,1.046108996896392,0.9813188152204474,1.0839274504463579,1.204753337380533,1.0291771913975307,1.0894033900569657,1.4098620984331698,1.3232333521487374,1.1509561759991578,1.4384432613383817,1.6769532696425704,1.3773120722465642,1.4022526470062229,1.0492669798853853,0.9964449804103832,0.9553766775717459,0.8729704680340878,0.8341843176301507,0.90892703950184,0.8366166323694734,0.8079086820622768,0.8484255429223279,0.7990764800462464,0.7655542020385863,0.7992965168424994,0.8399427479320203,0.8975491140832111,0.8566553935760755,0.9176928144619164,1.0286223699550259,1.2519028214565948,1.069779865512706,1.0971124063367859,1.0077068846851513,0.9629922855206118,0.8710648759611643,0.9301916984955229,1.0075636110943924,0.9048761197207831,0.92802636999608,1.0257121535840026,1.0169432718503337,0.9484846101620209,1.1624421803148173,1.3258472082054646,1.0627059814995103,1.2150276734889087,1.4290269650941536,1.5118311771089412,1.3007004274678344,1.0708284450130154,1.5412415052662005,1.1720408434398912,1.2071329432637827,1.0226395031176174,0.9178061703335724,0.9453244596256405,0.9561251737217173,0.8238040858732941,0.8777116335727819,0.9087749407226833,0.8663481438995354,0.7619465613217181,0.7894937042517163,0.6750998031993889,0.7668033744626571,0.7563096463132642,0.7414398541711077,0.8207805352158969,0.7825703245219586,0.7560692334021915,0.7836928952814289,0.990504686233283,0.739310159860517,1.0952311826516539,0.8390422424949788,1.4504113958954972,1.469114870283873,2.1772159408797735],[0.7114761892583084,0.6602292402340818,0.8272297610922987,0.5253649003710614,0.6789975982615064,0.6051609621733062,0.507319679344913,0.5281278149246891,0.5220626253808038,0.5172997298546403,0.5394416447553528,0.6095079909068846,0.5396797555115251,0.5546723378082811,0.5940105515314632,0.5587248360834576,0.6062966186942366,0.6474262199204929,0.8029564454072848,0.7601535347894474,0.957275112840127,0.9798551080280284,1.2412516357933567,1.3587524826827642,1.178298124879168,0.9633081704731076,0.8351536106554522,0.6675185349982986,0.6262080832407567,0.5706307329292803,0.6415770602839479,0.5486985632301052,0.5758245665312477,0.6082659679635223,0.6058439276896849,0.6495054630693419,0.6023024075727201,0.7058633624982708,0.6942433523106352,0.8666117173243358,1.08457698390209,0.9007709752204252,1.0112374954643948,1.1671685037629933,1.578828772368212,2.0827604232508428,2.4699732711641316,1.7201642729448279,2.1005408982390277,3.110495942643285,1.9674497020494361,1.9885633332018808,1.354676842687743,1.097114309530307,1.260011896465276,1.233672470063541,1.1919753432258677,1.0403213205551278,1.0738441631457611,1.7123871879003791,1.1467277359243553,1.006707259838001,0.8660697425702916,1.1478691963700547,1.0919761432786947,0.875963617681975,0.9801499736698726,0.7819393522463028,0.8439588655591707,0.9131057404361066,0.9889358398666898,1.2017727242389569,0.9511207206262912,1.0892019047880497,0.850995422626671,1.2469954968361476,0.8086978459050902,0.7645062229588686,0.7633391442218532,0.8515716327894695,0.7093157598585269,0.7630391716710561,0.9180235741620139,1.020685480678711,0.8483228586164461,0.6506958071325831,0.6998804877988226,0.6926227371115286,0.6883011955534277,0.653985368665153,0.7200609501429812,0.9409959086920121,0.8457226261272982,0.6541200468396416,0.6150057377914481,0.6923117007775103,0.7752233417492981,0.601140802788197,0.5473725338374357,0.6254002415459514,0.5365022329847254,0.6586427088974419,0.5851117451711361,0.6299946153225034,0.6980360373136307,0.7021958965017303,0.807155327839356,0.9116401394610079,0.8089891618580239,0.7621455287146051,0.7006158481593877,0.616507107164236,0.5326905145674311,0.5537467031705291,0.5558861917250174,0.6411441137038492,0.6378043581993741,0.7191063091968741,0.8887914050870571,0.6947734192790754,0.7498362278230742,0.6751620124254686,0.6684403945996642,0.5339691057924845,0.48183981498747236,0.5356491100006103,0.6795187257463826,0.6826592275291574,0.7151522806612489,0.7566852450976466,0.8827888680945488,0.9234691786697776,0.9783515836215914,0.8737338021581713,0.8652015913428939,0.7761436691233052,0.9222878765769874,0.7052025941000062,0.6227486317319793,0.6484940953390649,0.7488519820976554,0.9517313992327469,0.7674082658714668,0.6619054381207132,0.6847333479418869,0.6371016275557201,0.6273238015885654,0.57258266246736,0.5592187715407588,0.5074657930421987,0.5836959442494342,0.5739763199735993,0.8010667523127238,1.134682925211347,0.9667815869109943,0.5662223109049351,0.5115139986486106,0.5509498385157928,0.5470278910989369,0.6155052175962029,0.6495980632141197,0.6256272200952304,0.6923827790471951,0.745274961007386,0.8606805249356062,0.8718759396973675,1.0458661684170487,1.2837638461400034,1.2271456542387602,0.9988688422961232,0.908523138035031,0.7507306276850635,0.7731193704850421,0.7344205422866662,0.6951332395149384,0.673688152743694,0.662730607331818,0.7021999153439409,0.732098205716081,0.7626780879736851,0.840806323333122,0.7288581450204794,0.8848262050097049,1.0429507936733828,0.9981254406692907,1.107563494521103,1.0501309847627072,1.5427166988219483,2.1037663218091867,1.6009704019912006,1.5931504659445068,1.4049959976477613,1.3242163553262234,1.276038107405359,1.1708628747482022,1.2581515224160749,1.030157635241014,1.0418770837380056,0.9674127059629479,0.9085247462719178,0.8982580998366284,0.7858679582714506,0.7695854328157098,0.8070684588237056,0.8019707235928636,0.7192531901256576,0.7548886574377875,0.8048947279597533,0.7795704706379513,0.7951118538968657,0.8793417764321353,0.9718757189231605,0.9542573924057037,1.1297700200608247,1.2425315822405953,1.1522047966914446,1.267813452723444,1.100162133285887,0.9801247171223654,1.044343454076134,1.1881606471136759,1.8689593577925945,1.3793596434910183,1.4625078334829007,1.1234867212553779,1.098348160254351,1.0102073164566348,1.1793080036445254,1.292561805288132,1.1015682666885436,1.1678804470077113,1.5300303738182612,1.410337283642928,1.2275458750754815,1.5562102231015786,1.7599063372296944,1.4628896157045128,1.4803126706259542,1.1069267508225682,1.0659780547072826,1.0391440624372097,0.9298206902645726,0.902711489314867,0.9158356683958184,0.8752437051793177,0.827269496562248,0.8457810658549468,0.7610103773589724,0.7348110339052263,0.7445142861929092,0.7456974453154342,0.7870700158221666,0.748284178778463,0.8209929404674119,0.901145240389925,1.11606377293969,0.9733723157022857,1.003507550071967,0.9351737548873799,0.9042746841392466,0.8212790230912198,0.940792405284746,0.9738245266080461,0.8780758205767506,0.9482836609092383,1.0337107236458623,1.0016103889867467,0.9589416057822007,1.198191085107742,1.3284053355308685,1.0567146175320337,1.2268996188100454,1.446277790244929,1.499255672427061,1.2948522471538577,1.0440176938680277,1.523760018821841,1.1283081117825493,1.1536380058061437,0.9805550242325252,0.8592901222813255,0.8863193353691153,0.946929528599066,0.7721597530224603,0.8456891470110569,0.8766071526505804,0.873290405959664,0.7793225377969599,0.8470221701106443,0.6933680922763994,0.7546997817524256,0.7532952906542143,0.7006071180403626,0.7848657830116096,0.7543964895075166,0.663402185980767,0.665416429646633,0.9778205782116198,0.6303701435976954,0.9634952900376567,0.7673444092479711,1.2985863642050377,1.3221689416906102,2.0312601652996425],[0.7588510055764814,0.7019628767093475,0.8316949873933818,0.5145793924811679,0.6322681792715552,0.5720340524390908,0.4509328599927945,0.46894781993841755,0.4748186190292834,0.42597051043247036,0.44640728396718676,0.5261455305436009,0.428451423712955,0.4335042592128682,0.4861869585874783,0.4392648885659958,0.5005119665509598,0.5190017780764935,0.6649692271801596,0.6252926946827889,0.7716100353871823,0.7831320216315184,1.0582104597075699,1.1349387269736595,1.0016706523680754,0.7895175300862999,0.6666356963046481,0.5463060453700819,0.5215839995651302,0.46321362351521,0.5059136033277054,0.43939321863540404,0.4658710265369844,0.5029484268530388,0.47900118357765764,0.5128983571277604,0.5081632707682845,0.583037317936207,0.585713569751342,0.7029938226714006,0.8861717157083401,0.7285574849848641,0.8117517142282062,1.040644040431357,1.5622109548229628,2.108225437381644,2.431262606009363,1.5836363010649395,1.9286956146989316,2.9527638340508777,1.766338981080896,1.8524041895367278,1.2213612743141982,1.0761249594007058,1.319377812341634,1.0439344213395731,0.9854683799155316,0.8895331766354585,0.8470691009029879,1.4468011610839766,0.9531579407218636,0.8489221646544929,0.7027063731023653,0.9963710451002905,0.939233738103465,0.7003270297446763,0.8186401732732335,0.6407510279632657,0.7132638938270421,0.7729002433010154,0.8529688750056318,1.0843609692966247,0.8100027006619219,0.9747559236374672,0.7006979696405842,1.0624685502918485,0.6712104149909063,0.6205319669997325,0.645168728080203,0.7052640096507952,0.5757883312928445,0.6138374384241018,0.85541998409461,0.8343334359775093,0.6982920108692412,0.5413441198821961,0.5530948219931366,0.5756033689986797,0.5557438740499872,0.5537748678040352,0.6097979697697593,0.7901150650403204,0.7017639681468734,0.524715450755978,0.48637540568597815,0.5749740089267825,0.668950930863329,0.512024903286186,0.4588369932794678,0.5685491077817382,0.4398111245712117,0.584696232695006,0.4713272551326536,0.5549982814838107,0.6019318962110107,0.6025008521831727,0.706258593754757,0.7985616691616003,0.7008057147500983,0.682540118354546,0.6170599208774878,0.5101378993130646,0.44621971405447725,0.43543679088901427,0.461776639348457,0.5315970999922004,0.5164591627770379,0.6094165711493292,0.7544268704563863,0.5587225520161343,0.6171432970766088,0.5582297217407566,0.5632484354279927,0.41822032400961245,0.3787917890205187,0.4256719158892282,0.6249408460612728,0.5824839735878139,0.6065046203846712,0.6396357894314832,0.7543556794340311,0.7816733160127448,0.8393246585301466,0.7465043896955075,0.7566995136490168,0.6879907537239767,0.8419030916019431,0.6249228712632254,0.5137255111644292,0.5277281829541243,0.6829562923246285,0.9347781804438665,0.6940333671247416,0.5570220624205483,0.5686239543518651,0.5594300008805732,0.5433680648520821,0.4920798843172664,0.45607068684113583,0.4430791407662496,0.5091123052024742,0.5231318899441519,0.7681263869173964,1.118820796124803,0.9452004708168262,0.5108842832705683,0.44322098724727327,0.4682269126760424,0.43935932541970685,0.5108901759013628,0.526279418769581,0.5160705782567165,0.599080434009499,0.6390766960549181,0.699075356319843,0.7694903468255591,0.9349968488982096,1.1838483324125981,1.1357907814751824,0.9147844527731471,0.8035045911425749,0.6553947794889471,0.6696277767520805,0.6195498948345158,0.574566197610039,0.5799463534969795,0.5415180648609349,0.6136117071799906,0.615528859508443,0.6194322199992883,0.7243064894694846,0.627611428062157,0.7665293367602216,0.9012253369089293,0.8476344756569125,0.8935594789424728,0.8836496626421215,1.3777752908375902,1.9155980505605734,1.3789591720841416,1.4326979788249734,1.1817283333541908,1.2024063007272743,1.16542388498152,1.0352614668808244,1.124740745880658,0.9381023688468102,0.9239164627159328,0.8496261851484823,0.7897414357331064,0.7669502038891161,0.6656930245535476,0.6600888835811014,0.7010508449699326,0.7051004410722562,0.6521028579799034,0.684265020467283,0.7442731420926182,0.743368441685691,0.791267709878918,0.8711597270616327,0.9600922892230129,0.9898099503183844,1.1555981240613915,1.2749307506528251,1.171397937034916,1.2690921882715338,1.0591593469701108,0.915029537165731,0.9785993068135797,1.109506982744166,1.6426395250790027,1.252860263266526,1.381570530532363,0.9697276563734898,0.9288454269863735,0.8808708729646546,1.0025967738201107,1.1088456453440407,0.9461187715866793,1.019429977369827,1.3151336226961596,1.2341065684183876,1.0792969668918788,1.4096051356958639,1.6207652811301507,1.309351608402194,1.3888126063815704,0.978409722222183,0.9596401612706985,0.8934127640501942,0.7874461848948934,0.7608249486623865,0.7911702515874771,0.7591820158655515,0.7122859546099726,0.7349659962664737,0.6799004245475581,0.6546360904360332,0.6809384124868011,0.7182326851619512,0.7798017835160168,0.7337700376255297,0.7903366330342452,0.8994401772719174,1.1351470837655897,0.9785762262564002,0.9804392765937838,0.8950147578516401,0.8278286649925274,0.7277589889232213,0.8093623807624917,0.857419246696641,0.7814711286718344,0.809546800570655,0.8875788081950977,0.8752353756677155,0.8333184947781176,1.0452246824313098,1.1980061264278585,0.9478188630527318,1.1213122733358165,1.3181556417299767,1.4215454839419024,1.2042069138766918,0.9701743422547093,1.542259275196297,1.1259379400985423,1.139483983107664,0.9816730441887548,0.8316507797390869,0.8656189385992035,0.9422596612506452,0.7310506024766145,0.7940413429940392,0.8352397539876459,0.7955029971599147,0.680287530025125,0.7260881098600958,0.5948465949349135,0.6801896433672198,0.6734202951939406,0.6363820774496423,0.7256255624400385,0.6779192857446,0.6281705730699709,0.6322951029603182,0.9449326477714213,0.5988731920156037,0.9391747579795258,0.7800730385474169,1.2796571066615186,1.3199908245583043,1.9949219748286982],[0.7352731510244473,0.6707316248797407,0.7350070814540038,0.6462532976453198,0.8546835373480282,0.7655429192974657,0.6574997117768866,0.6720989009482684,0.6341324382131603,0.6217406218920377,0.6306682929245294,0.6802461469885372,0.6340093135241214,0.6420333250154895,0.6953574901021784,0.6494860310967556,0.7092986823018312,0.7303888458951302,0.8036009871255315,0.7652482822925392,0.8471095003945608,0.8501847375534018,1.053707286122562,1.139106352482771,1.0112987107511986,0.8549884007385014,0.7632304357645175,0.7264069645970868,0.7208036278651339,0.6627260877959414,0.7191999187918715,0.6442313274283827,0.6848762181319582,0.7011761675021667,0.6668810416636113,0.6945887969623455,0.7010013340023503,0.7211767934266368,0.7365468143515875,0.8030416514567695,0.9336849146087693,0.8151016221865001,0.8597233364846686,1.0793778323162821,1.5855785839655991,2.0649126708985346,2.356677779829992,1.5338366201308233,1.9010001342655143,2.8618673144363305,1.6992944900696976,1.8685883148513707,1.2404346880121333,1.174610079873674,1.4341669120360125,1.076230696082388,1.0184949474798042,0.9372363672271892,0.8863208635974127,1.4755748652336607,1.011179888271508,0.9330653448254115,0.8038073148891884,1.0618507661553287,1.0042106513741131,0.787527092574636,0.9362783690703518,0.8109058641595756,0.9046162070693122,0.9335429223430097,1.0082596663413834,1.2234316330746144,0.9780869006635137,1.1374209756141487,0.8699312269316418,1.138640066346496,0.8266583573204921,0.777951041650487,0.7948850477526145,0.8072174926617133,0.7146605907901276,0.7444827526721564,1.007986300598609,0.8554586774858679,0.7921824739262169,0.7115435835007571,0.6943740023392873,0.7444424273374762,0.7166336804468227,0.7300421108170396,0.7949420754787225,0.9353284476956205,0.8731952284378335,0.7392669556599415,0.6999529182212397,0.770151785195608,0.8122993293365338,0.6892228157620754,0.6608354236322953,0.7657956397475657,0.6220137093387835,0.7138720490926446,0.6471689567119941,0.7280993928672194,0.777552221696654,0.7702751256361917,0.8544513088486179,0.9339923844767999,0.8547753508888637,0.8423889767011273,0.7749955765519038,0.6955876671484441,0.6451081226388878,0.6136291381983099,0.6639814421686916,0.6916613053448935,0.6930570150606062,0.7855464660348195,0.9017792515274641,0.7335221062319401,0.7693970461226888,0.7199723659715258,0.7155946865166001,0.6312513907843021,0.5942924679478341,0.6076548977882442,0.8099236076885289,0.7467016136172456,0.7706307056214037,0.8054077741498564,0.8823096089863841,0.9050136780830039,0.94418837328573,0.8720645655575513,0.8797385149886232,0.8424109651046425,0.9623502657816517,0.8050389552206778,0.7037442095567988,0.709502579566096,0.8679313535226901,1.0785147631716274,0.8769208198258477,0.7391816053280759,0.7413101260576964,0.7502700522435602,0.7319413094288294,0.6960330648706032,0.6508480726296016,0.6578528446740571,0.6801974468034833,0.7528353460572872,0.9460576416459542,1.275263782574472,1.1197564543385028,0.7175718831143857,0.6479454296947053,0.6433091208082018,0.625658871089256,0.6887564214110685,0.6984170267793248,0.6882243548528747,0.7727247361622905,0.7935855718997772,0.8056045505184671,0.8936598336008642,1.0282259723398788,1.260727901194526,1.2242337161869215,1.0264118938076507,0.9261293725774707,0.8179114375971362,0.8246460353583036,0.7725756094764296,0.7303507186025734,0.7571621397894097,0.6980451174191126,0.7766961391515709,0.7665912777966698,0.7378193161393825,0.8394876229889507,0.8041454590698986,0.8943082787602942,0.9892954676829516,0.9381425623703112,0.9471001678736661,0.9516221743249516,1.336034356429984,1.9092577429051627,1.384612764970221,1.4610937629969167,1.2061752333005562,1.2613177160716686,1.2404996834472275,1.1138711669328336,1.1994043018992262,1.0803906210266159,1.0614368065870288,1.0117880975840405,0.9372791869254427,0.9332721530776599,0.8208258951232174,0.800732444754415,0.8580059355359921,0.859356469942522,0.7948286915504127,0.8144614085461689,0.8771761840544542,0.8701809372873958,0.8784114503981767,0.9679473940145578,1.0634224494498992,1.0397344493074496,1.2271053771028884,1.285981066034473,1.1514693465869232,1.3842044318500384,1.1397065614524091,1.043324905176055,1.1099429309714037,1.2299839043898775,1.736474655118401,1.4071368756476268,1.4954686937079769,1.124569262484769,1.072011601372664,1.0856884436580274,1.1447320874956435,1.2346071480045941,1.0878243508074064,1.1874453111330312,1.3756333880312444,1.329831808362268,1.2290437886167662,1.4834643476793494,1.712642685875797,1.4124548553376184,1.4538101052097445,1.1279134552174273,1.099791309285635,1.0406322890580184,0.9711247131043305,0.9291373723888322,0.979305471340625,0.9155430437788868,0.9090477871230712,0.9036184985637287,0.837876640904049,0.8098592153124982,0.8389562812248614,0.8563254157512589,0.9088213246452421,0.8553250508107096,0.911064672598128,1.006692802401061,1.2363252093653974,1.0498731679867839,1.0736175188944497,1.0018854652671096,0.9796173602492373,0.9221574787531858,0.9687783417615426,1.0313158175383454,0.9287976160834222,0.9671337215589503,1.0517916285542621,1.0463293640808646,1.000608012844106,1.1998507095763673,1.3310739741600863,1.1136168045487012,1.2760254080692754,1.4356189413917946,1.5165360572534377,1.3265883659761837,1.1305331178451752,1.557273442113629,1.2153117137776992,1.2413881321279598,1.0352740086132337,0.9345614260122383,0.936150897170137,0.9326395870283531,0.8711900826186734,0.9892668812650369,1.0659100275397229,0.9746341102526067,0.8653745459646057,0.8745484482124823,0.7767151094191226,0.7847290629420957,0.7720385028830627,0.755944501714511,0.7966827728934396,0.7670406803104102,0.7413048316148058,0.7546051706274503,0.9397216697739618,0.6772047522152064,1.0197923723243694,0.7671288006425707,1.4157433331005762,1.386497678994423,2.1463359633211945],[0.9202967981064794,0.8600468130217988,0.9051150679292488,0.7711360426948879,0.9459488311570612,0.8775112832090862,0.7371557992943207,0.7622925642099985,0.7101369662529846,0.6523333305054894,0.6627742277819356,0.7462998140440076,0.629211453515088,0.6404053967455382,0.683197115091413,0.6387830459902937,0.6773683703771147,0.6743057982732145,0.7316649967718155,0.7008005313934265,0.8009958515934247,0.781867391068448,1.0660031964725445,1.143638163887164,1.01401630695427,0.8086142886513741,0.6988880567288818,0.6611139371980547,0.6747031897703963,0.6427227247577867,0.6775942236596448,0.653471380342855,0.6816571914676823,0.6997969590362273,0.662091110328324,0.6602123370874636,0.69319327940036,0.683950787083749,0.6933146441547944,0.7680771115487549,0.9095300498352441,0.7453818810579566,0.8204067380679476,1.0453718594383974,1.5724275971625428,2.1212973973019924,2.4496040825723284,1.5960197200745503,1.9566084202220422,2.999768302400314,1.797881479234354,1.8766965870966448,1.240871302776468,1.1248301710241757,1.3929312326402399,1.047946376442442,0.9795645475280023,0.9160730478753668,0.8647764688307088,1.4266597084465646,0.9646968350279594,0.8614750178509522,0.7485366526938453,0.9965600071469203,0.9502106001387638,0.7429279266138589,0.8830374481434438,0.7395335517746364,0.8307223787819383,0.8815954465291299,0.9915656708550644,1.2225894031802234,0.9412674602093246,1.0613352771341953,0.8147234668592399,1.0554240949513634,0.7562430664371318,0.7196181576200799,0.7330015774584839,0.7632473137106508,0.6853586124662145,0.6989596500817107,0.9893109604949414,0.8912631856360369,0.780767205600387,0.6937913369799948,0.6492075286511984,0.7138605265628712,0.6692901907000162,0.7054565919170376,0.7554840844927774,0.8619517788873368,0.8231162367221123,0.7072863515591511,0.6881465390417687,0.77566273139501,0.8276360384397504,0.7162239566991765,0.7003944890587701,0.8366025716729389,0.6732485579909658,0.7974778790442079,0.7006760337196613,0.8300641097865028,0.8704038533672902,0.8693315796778293,0.9886339044619936,1.0319627395348732,0.9657342308268565,0.9501056473158986,0.8892205719972269,0.7720111703480584,0.7087828620938623,0.6463380979261638,0.6614085824963211,0.6583054946413452,0.6407439553222094,0.7159717317476646,0.8243042325468039,0.6738788948692556,0.7173989654284245,0.6911895496986152,0.6834090800104013,0.6213396973048196,0.6176581193769242,0.642219619999083,0.9253315086386282,0.8325503588826998,0.8844528949955317,0.9039335828600984,1.0199074511144657,1.049062898678885,1.0617260998724538,0.9702573443594533,0.9588253463513369,0.8755636382793738,1.039401950899232,0.8006360498594782,0.6751643996828547,0.6703934484865504,0.7712311439021716,0.9920082697873365,0.7770071252203771,0.6661514187968774,0.6624297952394707,0.7056808113595275,0.6952397982106249,0.6932637045205059,0.6851104917583599,0.7136175500263856,0.7922405419571475,0.8295305218021486,1.0288545617505451,1.3566944950875413,1.1870908957611042,0.8032255640360513,0.7190844297030072,0.7376870162647445,0.6583958442353514,0.755820398413342,0.7333884734823937,0.6818717565105294,0.7394874382536075,0.7588844169553043,0.8056542855251771,0.8581688870282241,1.0390596951050395,1.2495476463857735,1.2428180802165745,1.0334270540789872,0.9515741665190796,0.8079148730827443,0.8233893986800838,0.7828798273654236,0.7453872633991312,0.798637064516159,0.720213938197754,0.8342756982034683,0.7785623264541598,0.8079916809017206,0.8845805852199992,0.8645426190721985,0.9623730592360196,1.0711500805874659,0.9889834313543844,0.9709454532329518,0.9385723336394476,1.4599616905914055,1.929697529302774,1.4125332594189375,1.4861443763965454,1.190186251859029,1.2871981801565537,1.2914626043423276,1.2306727275521046,1.3485583375139325,1.2179658729027871,1.21737407041839,1.1635446004534866,1.0760476530909162,1.1108280101210242,0.9794070868082607,0.9469866101638442,1.0168209416418836,1.0239643116563761,0.93485059588939,0.9605734961296744,1.0302542191558623,1.0182463583187489,0.9968081640118599,1.0831879468399737,1.1927014980637645,1.1445726456871685,1.321651034001211,1.3793010437801956,1.2549125515510478,1.4934842334569043,1.2651187314152408,1.1868994295399138,1.2612352205103297,1.4026827378832636,2.0706771763911065,1.6122484606498915,1.6398559328151188,1.3276101515501912,1.291123403201045,1.2829156544046656,1.3586493609092969,1.46725249446991,1.3024705058314971,1.3817393990003306,1.5977086005415968,1.5501045559969313,1.4355925841711534,1.6771992699552254,1.935486281045261,1.6184014124991488,1.6000664045262403,1.3044730735122914,1.2638652215754265,1.2211943503439917,1.1551936128393068,1.0879089042622985,1.1391829167315977,1.0609213504759285,1.0553641587770803,1.0635642815681468,0.9947598308380812,0.9637653681762993,0.9957249361075136,0.9986009033534617,1.0379505802284301,0.9979385407847203,1.0560652817404046,1.1200601624307307,1.3140101948950451,1.1723748585892466,1.2179549505335423,1.157391377664351,1.1537360358357094,1.0951079703005129,1.1655309881189837,1.227323583808256,1.1082187860429693,1.157622654507826,1.2538680154122555,1.2290804887397133,1.1886148408453883,1.4115349717136936,1.4973767374776978,1.2836359597394864,1.4363748999297696,1.6218943443117368,1.6586705274518772,1.4889432505763098,1.2732560324586053,1.654251998784883,1.3382608177933966,1.3307163643367979,1.1164074859726603,1.046045196742572,1.051594994366977,1.0359809954724117,0.9719744078812913,1.0745304583274433,1.1527572266208783,1.1019950656480924,0.9825062566620165,1.01352539638972,0.9029243656833618,0.8999181398712097,0.8919397387110374,0.8964430857158523,0.8974585666448084,0.8832033902747402,0.8948348778685878,0.9170630435452324,1.0241202341520192,0.8447312038151089,1.1759360169720392,0.9454544002794283,1.4608319412276365,1.376219280138569,2.2033120537094404],[0.7653684353753514,0.7087249342060253,0.8607360745190616,0.6337901208395953,0.8978865056535749,0.777754868666048,0.6787996515273473,0.7028585765314036,0.6258859160997232,0.5895179608460164,0.5722223850015299,0.6678065835085322,0.6010639969122642,0.5733918239184944,0.6212676310257158,0.6397167546042847,0.7042596111520353,0.7069821081420153,0.801245964997206,0.8016508028020344,0.8958927602668869,0.8890621773104715,1.187295968928182,1.2379068313190786,1.1509272231305065,0.9221998678810427,0.8192580584683816,0.7607051227571513,0.7534630114803987,0.6994975650569193,0.6745859471288753,0.6887624561807066,0.6882914279789135,0.7394315795601414,0.737832353421726,0.7396465839028613,0.7922945959036087,0.8177397688962849,0.8582521595826125,0.9266594391508783,1.0121316072125062,0.8640919190758564,0.946188507524817,1.1585418773329166,1.691786782532905,2.287425830546013,2.5896100232918235,1.7127925923518768,2.0353760180843685,3.1050439818561753,1.9030095152334352,1.9509777673007997,1.3698224021068626,1.281405051030342,1.5588049616281434,1.1749279387390557,1.0826480564706,1.0465396281418817,0.9918583222035107,1.4243614518532963,1.04842098356302,0.9668399059704726,0.8646924252004063,1.06583043634094,1.0357696246458,0.8641868866343263,0.9314755854902164,0.7792357177110937,0.819155571259653,0.8434240612356397,0.9438427023208611,1.1504746215945374,0.871028295985781,0.9916533773261036,0.8129934127326301,1.0360335333955384,0.8188778550951521,0.7820005779240425,0.8320521881796219,0.8928019905642453,0.8344717340444601,0.8568737113034708,1.099239915783871,1.0352758525644785,0.9420806197463966,0.8519794817529553,0.7970221648430464,0.8236741187113549,0.7797747550352357,0.7921679054252994,0.7894688034400247,0.8180816945134669,0.7812828580259592,0.659331526089026,0.6372250691813216,0.6813408406010822,0.7415080187856955,0.6860642524647184,0.6503660734524989,0.7734913476732803,0.704504597280963,0.8277275012675016,0.7813426921671177,0.9000294130294341,0.9710777882105335,0.9414069338326576,1.0582392034637391,1.1099015682233724,1.0112096334488563,0.9923919633121362,0.9181752840239741,0.8356350065868774,0.7298843757723267,0.7202978192100504,0.7022575681837802,0.7243168373529881,0.7185411646302721,0.7983940043486518,0.8729020028303976,0.7034229012055676,0.7080797805443034,0.6879521767419404,0.7074130744922745,0.6397528027093953,0.6073028295993921,0.7115516353195044,0.9461085171714129,0.9087082088107384,0.9676432450208692,1.0065761005647813,1.125734222987694,1.1561830969809865,1.1965009416891559,1.1035376277262043,1.1016039835212894,1.0054194312099993,1.1486743071176444,0.9424500534158649,0.8213721888336346,0.8245908465607219,0.9083995697871696,1.1350367758674722,0.8942370227853338,0.8082137243958984,0.8093506805620277,0.8274452856938996,0.8092948240605966,0.7746656751536402,0.764371897949554,0.7259335163662357,0.8113925046408857,0.7510204100002738,0.9765372442465269,1.2454056150782769,1.0853016085441716,0.7454985988670667,0.7024990198322726,0.7603750249331611,0.7056844303920179,0.8210992268536982,0.8543502739468486,0.8265373756725045,0.888721620557509,0.9197810346694262,0.9924193734270527,1.0383646159070177,1.197311246670867,1.3891934395496848,1.383184452788523,1.185990344572974,1.104839997861436,0.9739210617630664,0.9908382956777567,0.9403345464146926,0.8963828887420738,0.9206663258316065,0.827072886831293,0.9580195360226298,0.9264294775459854,0.9629283937494443,1.0448034599624267,0.9996580514615384,1.1203953070660704,1.233976941219984,1.1495015810641815,1.1077709986471456,1.0726599042197302,1.607286566463519,1.9357742032341125,1.4980519177727827,1.6077573860996777,1.2747552801198132,1.4257499697488412,1.4303299410560464,1.3649962251635128,1.4608013386825123,1.3278259233132201,1.2975703178544415,1.2045740243355363,1.1043572996834465,1.0864568869659315,0.9469491433276939,0.9347205281589237,0.9616566583283055,0.9274681860742082,0.841583437082049,0.8706177224748151,0.8998360478261341,0.8730775654625115,0.8721060570919885,0.9415877472578696,1.0270997578083223,1.0102218295942633,1.1775501217964126,1.2535403935112452,1.1426968792788923,1.304278547529785,1.0950124198762583,1.007282335382339,1.0693786234952123,1.2241185401352648,1.8632346899623384,1.3980674598080234,1.4709854390919146,1.186251785173259,1.172207877518312,1.2043886181555763,1.2900034811908618,1.37259114081615,1.2318865178903209,1.3418916483892633,1.5542507061249944,1.4912549900061352,1.4150168020223275,1.6975389589425278,1.9292955583829479,1.5973542914817185,1.6487318064503522,1.3076122812877382,1.303635146832182,1.2360142278554827,1.1168150804196166,1.063617268040467,1.0811840033900384,1.0290169121782813,1.0217037188821605,0.9774672890828099,0.9125636468181902,0.8986896998957429,0.8913134802870899,0.8682088520038382,0.9144323321691896,0.8668739952913772,0.9039227025011138,0.9710032075542647,1.1685203315498898,1.0214678003370103,1.05076092951889,0.9870494330968124,0.9775154266004612,0.9459099989459544,1.0156988277862848,1.0372559054786286,0.9489492634063741,1.0302168999400176,1.0886225055199135,1.0569659343242515,1.0769891895210397,1.2880349823153492,1.351737480611343,1.1557136608456948,1.3731333338366682,1.5325988498951306,1.5506915114984718,1.3812531836000561,1.1604509173868598,1.5461067672684565,1.1956975445246976,1.1722132812341388,0.9960425040138965,0.914526313079019,0.946430419710411,0.9728810768808783,0.8810553850724692,0.9820961268748368,1.106994005823356,1.0500235723966933,0.9686457936942455,1.0487499395739166,0.930023835330519,0.8708077915016224,0.8753699535232936,0.8376683234068436,0.876799077204042,0.8502095072113788,0.8034742813096887,0.8009364661064662,0.9830403976502549,0.7309476912717815,1.0571349063852697,0.8519777188992815,1.2895847690707365,1.211420166128494,2.0244515672794616],[0.7118505158936015,0.6406688609533677,0.7528876369501722,0.5520813116272715,0.7881549256790753,0.6659293111879633,0.5477306462135176,0.5683658436245109,0.49962610313623695,0.45296274396952035,0.4485249264582986,0.5611202501793939,0.4436335773851095,0.4421938204642492,0.48927080029681774,0.4766227034403906,0.5521201350916431,0.5571314558546309,0.6570746596231857,0.6396250201911935,0.7347537657568246,0.7494732412237574,1.0184551768023735,1.0996163692981773,1.000359703805486,0.7799168313935595,0.6905461943174933,0.5948099114844333,0.5902728726037069,0.5291024548540262,0.5234499111010555,0.5056654772779644,0.5312385385945215,0.5560245332979783,0.5444339132112668,0.5633357163662731,0.5959550089266107,0.6223689316187049,0.6705827329714442,0.7443764761696117,0.9044925494758864,0.7541852430794558,0.8066351714252135,1.053888741131125,1.5927987642537946,2.20998576577141,2.45770325439603,1.595002784724963,2.016287616118917,3.0364822538487384,1.7922031240401213,1.8873364578068146,1.2075277696160227,1.1333281796091628,1.441511275287389,1.0016040583701669,0.9675214544120204,0.8744226470525276,0.8335862622262632,1.3916309565515186,0.9306509842890667,0.8302457873250036,0.6924995993763865,0.932505609175211,0.8984531249882607,0.6924704945606348,0.791814077901713,0.6341682322664559,0.716893668669934,0.7515793224226983,0.8629802783582113,1.0746814327266088,0.7833953097262834,0.9129610617998145,0.6885988833922532,0.9943361198210875,0.6567704706764893,0.6072575441623607,0.6560283443864369,0.7192838618042848,0.6478869892120895,0.661127195766061,0.9541367322841776,0.8108026382277882,0.7277354655760714,0.6404192029462694,0.6040338258391165,0.6638753196016103,0.6028772902316931,0.6021684877533254,0.6213252003880217,0.7312685164506159,0.660891255488754,0.5199667080303074,0.49615431366008234,0.5704954685036627,0.6445048922660905,0.5376368999915792,0.5103367655493346,0.6670665098959585,0.5376212856871148,0.6862501864181357,0.5867916804701068,0.7026065536770961,0.7856269019523396,0.7631004390063703,0.8811955393865721,0.9322285125138418,0.8499022584757321,0.8369225082671519,0.7547254880366417,0.6545376631867581,0.564421599152907,0.5348794566491906,0.5370749840569663,0.5644434227645128,0.5651816084631635,0.6507278369355864,0.7530669915863768,0.5712152085457631,0.6022997823568407,0.5537878964748113,0.5601464725671702,0.47561876072316667,0.455478429234678,0.5385383729871481,0.8058208138847822,0.728691444519944,0.7797341449182533,0.8120292124843592,0.9280219167489624,0.9517664954092674,0.9696269191767615,0.8824560705670615,0.8888294531962155,0.829614749288117,0.988285059567693,0.7677530656629808,0.6360240356783298,0.6397624581931199,0.7553486206590492,0.9557994137083183,0.7331376464598692,0.6284166768710598,0.6365018399683765,0.6460161673944734,0.6262505272662819,0.595378632400757,0.5754482836519946,0.549401745563308,0.6442508952251055,0.6364320364074156,0.8785800025400966,1.1808113036279837,1.0105583043546564,0.6161675543221046,0.5414326629690259,0.598121508174387,0.5290598223014561,0.6427799550738873,0.6612501700655009,0.6123560010980592,0.6928648941257253,0.7124338827908391,0.7900537288225348,0.8452959206874205,1.0039923778607662,1.2186987050055371,1.2023089176376371,1.017433006799583,0.9166117186581476,0.7872806269098699,0.7961906239139857,0.7374979410057415,0.688521065791458,0.7173355856263858,0.6260888360185254,0.7580091840846436,0.716335745162841,0.752809941398559,0.8391250623920196,0.7946957166200307,0.8941285762032987,0.9919943117846197,0.930176916831676,0.921195668383344,0.9191291415863607,1.3884934413434775,1.8474182601724873,1.3072821944854691,1.4026979683398042,1.1079784044692993,1.2334929341668797,1.235016631177041,1.1360360372866445,1.230487196659884,1.119673043909787,1.1079283451491633,1.0582549703395723,0.9618531168208942,0.9572011866234538,0.8269228089256323,0.8064006071860623,0.8614378781941471,0.8435888335491333,0.7581816022840617,0.7843173377603095,0.835865572110142,0.8164763671364288,0.8126757125734143,0.8927468121906442,0.9879998978494144,0.9769157945162796,1.1437133002382869,1.2253123619503563,1.0958069248344204,1.3003403729229217,1.087497162245911,0.9948493384158438,1.0505931707418483,1.2007164190670692,1.7147433138130064,1.4122338075257665,1.4959392461976784,1.1276668053538792,1.088403740432748,1.0939236734043822,1.167074640533702,1.2634027807845338,1.1168578937944795,1.2280859220901725,1.4244377880983452,1.388896529654154,1.29626087838152,1.5243311848612429,1.7874910243873607,1.478113002574419,1.521232960216762,1.1757711777533004,1.1243883174942804,1.0725730258498523,0.9829779517878832,0.9293693753404364,0.9783303118337908,0.9129415866926427,0.9057194101156895,0.8940010180423646,0.82515847318508,0.7891224919251455,0.8120197384997793,0.8076945813100646,0.8512348770519921,0.8026743814531561,0.8616091483081441,0.9423448394716604,1.1539075565666232,0.9968893895070667,1.019473833263046,0.9475831156740677,0.9242208541702595,0.8808399964763218,0.9462157490681037,0.9868272953144839,0.898293150451566,0.9634510724544844,1.0420535533325141,1.025301525979085,1.0071566346677483,1.2205101691458997,1.3509898955556336,1.1292678414407116,1.3144869228528415,1.4642121972761626,1.5453647590541444,1.3629559284519301,1.1529566329903196,1.5548948602143944,1.2301784332575139,1.2137331547227437,0.9708914029657302,0.8768234962958628,0.8625412460583031,0.8564619037927703,0.8282255707349652,1.0039757710685748,1.1013073446431347,0.9895300274111285,0.873206532784496,0.9026573353875276,0.7773972973131998,0.7609500035766608,0.7480653723340288,0.7321502034196592,0.7554499370456197,0.7262946470387447,0.6985486155157019,0.7078628942080374,0.9031991370451612,0.625864220599994,0.9866791151083774,0.7692907516591787,1.249997572383039,1.197613882669971,1.99766601854001],[1.288428475778674,1.1687341561126794,1.163309350627339,1.016401186168123,1.0219080356529027,1.012878137889488,0.9257156906510903,0.930635084991025,0.9667320450584327,0.915745420100004,0.9553326921632749,1.0333309071243841,0.8778924490596696,0.9344996296030449,0.9547377681186413,0.9067301570399504,0.9134165329084835,0.9341374119262895,1.0080408747754772,0.9626121462302379,1.023063544319252,1.0378004557877598,1.238954195525894,1.2903984898707326,1.1706172152665115,1.041183625569237,1.0023967868812727,0.9053899505570517,0.902778636751368,0.8775212453336737,0.9281273954143935,0.879114213560754,0.9220394935564963,0.9034928086367733,0.8761353269984202,0.8962445798982668,0.8551111812788658,0.8920109622966993,0.8830082076822654,0.9273375740779534,1.117867097358,1.0392565202759625,1.0525446194027726,1.2325871192097675,1.7342292040799872,2.3041839393312364,2.508853921497696,1.7165420324352414,2.1354573104897705,3.1035248892895426,1.9070205797905995,1.9590665325369214,1.2782754057128038,1.2153434621693175,1.5064821329416502,1.1535412843458925,1.1779835997368782,1.0601915519187834,1.0636362083925313,1.5830734371923532,1.1696204324370596,1.0854156473965055,0.9403305570268248,1.1563116117751158,1.1442267815248586,0.9637199418818098,1.078279053222536,0.9878444646128303,1.092610208375202,1.0899460186003682,1.1933842419675336,1.391869593179245,1.1425347547570188,1.2219390996239583,1.068250522876411,1.3375206574819443,0.966232073189339,0.9230717624327438,0.9190086126288359,0.9611731276126757,0.896780213377498,0.8440108653383533,1.0851875499501145,0.9252856819843002,0.8481920532748846,0.8255908252733257,0.8526921720832252,0.9347678415108945,0.8963770099049019,0.8883098131129042,0.9547000569840379,1.1146924650772214,1.0289344243066272,0.9507558024750453,0.9442926706290652,1.0260262321264937,1.0799675825155945,0.9508836358519269,0.9442274276285457,1.0422231204454298,0.8950228059704136,0.9765530045799578,0.8560851484806606,0.844764770560508,0.8865839781650257,0.8961223709050341,0.9988815144776519,0.98600621826729,0.9472829216178134,0.9655280971763305,0.9127739629811443,0.842475806804715,0.8622759117664095,0.8313381863749159,0.872941334905816,0.8728108797410088,0.9074158947927654,0.9607343222682132,1.0578015689979159,0.9739720363928316,1.0302509239420752,0.9464485196060815,0.9114867007218818,0.862391325011073,0.8770412776137313,0.8269486173309726,1.0237928891110475,0.8748902090079301,0.8885851190549329,0.8810262704376247,0.9560661673587446,0.9649526136244438,0.9398139621061319,0.8906900571597958,0.9016792628473834,0.9175263256086648,1.0252419286379895,0.8609307325786085,0.8183015476708363,0.8360604189842991,0.9583416472150336,1.1119406139006316,0.968980355168448,0.8738628775461555,0.8829368183180212,0.8923927463573835,0.8769354543754627,0.8851732850845726,0.8413685966429479,0.8455053839918928,0.9197321373377649,0.9757662343557153,1.092920251345395,1.3324609731245418,1.2187379402428202,0.9581111168744125,0.8946485906028073,0.8986309108355973,0.8715725137820839,0.856697395200567,0.8365855054233815,0.8160100759252361,0.8428056418215342,0.8331173043914705,0.8842703443561,0.9069293302911381,1.0198369658487885,1.2201207722011758,1.1831149550938196,1.050776632235706,0.9399820866205716,0.8710700677764315,0.8784853703666119,0.8392268291234086,0.8348148750593473,0.8420471347426121,0.8474578119939893,0.8808011001474919,0.8492937101724808,0.85313639511851,0.9405435571103562,0.8476939261905565,0.891482976319046,0.9615635607956105,0.951032875589516,1.0053127483865023,1.0610576509997356,1.4265729459400136,1.8970577358799525,1.3185479168217067,1.3785709398828319,1.127841058687113,1.1884361120307663,1.1896006411796682,1.0697569861868172,1.1496003778207935,1.0534594194728295,1.09303427385898,1.0859689150440441,1.0505605128749365,1.079753747336765,1.0277645526005101,0.9910608253964055,1.0525470857808281,1.092292204392481,1.0586543477600507,1.0499064030118515,1.1282638986617037,1.174376985008524,1.1808544090137496,1.223799270270852,1.338083845680218,1.3859420169117669,1.4146024186974306,1.5772548627994083,1.4555227310776224,1.6255205319644646,1.3825364116909227,1.2942563278249082,1.370685370132087,1.5042738185876272,1.9949507132621758,1.7262393961060765,1.7479313887954167,1.3626092361391606,1.3212658332161944,1.238427446659735,1.2952647104006039,1.432331257521936,1.2459469261172529,1.2859860783800083,1.5553329145027042,1.5115988079101257,1.3491199690437496,1.565964105271847,1.8981695252649304,1.571270770483571,1.5904059537529707,1.2260405934805862,1.1586550479331679,1.1223427261704768,1.1036086067984494,1.0714277614153802,1.1804278868307414,1.1239813722596048,1.0745123526328464,1.1500632684329986,1.1329688327256147,1.0667634218995314,1.121923809208224,1.1910169475738406,1.2152555512421408,1.1863169195915502,1.2714533339363363,1.368257672871947,1.4937157529125118,1.416202462218147,1.4374503896615751,1.3356561539253604,1.2636901521515866,1.1771561421751593,1.2179822359046688,1.2769939739308955,1.2007005173628882,1.1929095339704794,1.285425022636913,1.278469691415233,1.1947986707505518,1.395530500324537,1.5658175439491095,1.3328796453067748,1.464804602289547,1.634376170308522,1.7872343465777303,1.5817369895011377,1.380139554011618,1.7439161178902116,1.5133859831918368,1.4716034828375424,1.2097515364735754,1.1505443739616734,1.1222763452586773,1.0799811010847762,1.0667322573570834,1.2214053533816134,1.2503996334475351,1.1466270589566017,1.010225455202028,1.0001205504182156,0.9223224460446824,1.0028989816224398,0.9904468651286177,1.0419192606088434,1.0555367146481016,1.0140095525346227,1.0564713307636335,1.1095273606696485,1.2239323470114678,1.0773733609196703,1.3427457568439354,1.2632522749636406,1.4804963539425475,1.5228141376920976,2.2017704627994608],[1.059475044970861,0.9515595447579542,1.0828904534647905,0.7533819653740358,0.9332383125761555,0.8064890474312301,0.7225364351605779,0.7615617446025467,0.6781753206174977,0.58542761979238,0.564195741160977,0.702770175586319,0.5772024682681121,0.5278037930253064,0.5460492784240013,0.5848082290360752,0.6090803441939692,0.5821710469444553,0.6751461045517756,0.6794751569459128,0.7951036477712512,0.8188337598782232,1.1204884637063905,1.206190306767789,1.1308395801388804,0.8587974939570745,0.7828063759133412,0.6428653756529413,0.6247954603677343,0.6271405341090405,0.594818497830628,0.6427005438088047,0.6541782315896391,0.6262074551825622,0.66684204627143,0.6583214539937532,0.709341675072555,0.7296826499975211,0.747250366477678,0.8783376989153865,1.0518567999907598,0.839827983095255,0.9265398962427468,1.1406141137983314,1.6201626310859498,2.3297304970373154,2.6151500975125916,1.7868875937161866,2.277568474453661,3.381650372711462,2.0740206687369924,2.0706373152389506,1.3588746297209622,1.188594070130232,1.446023708214738,1.184507413757164,1.1422666071230518,0.9979784411961534,0.994420607405601,1.489835976902195,0.9885033049693557,0.8799422624891938,0.7895998770260512,0.9247823980896053,0.9017085566996798,0.7769125721410188,0.8212964796318697,0.6428249183676874,0.7149534208782248,0.762580490654343,0.856193451527905,1.050507221536398,0.7813520666053645,0.8731029362320031,0.67628177013788,1.0108868182260136,0.6784971456850483,0.651259188288483,0.7060262092840677,0.8095791713812432,0.7694426564321522,0.811624894639611,1.0066143577915312,1.025365524961522,0.911352139251924,0.775762768107563,0.7205062233268692,0.7856014450988404,0.6823629019036117,0.6692289398620456,0.6417837679992876,0.7555754840483855,0.6760129534613132,0.5624773682509246,0.5633506339881322,0.6241620206430947,0.715177073549455,0.6571701459653548,0.6678477432758454,0.8692733170036284,0.7496615924877101,0.9377930002280295,0.812378454162515,0.9358048098074957,1.0299964998332296,1.0111536783184643,1.1580671858263412,1.197135165863856,1.149864545699904,1.1114692224124927,1.0350977336298257,0.8981246382587956,0.756559642335102,0.7234633229403821,0.653245816818958,0.6768328267020127,0.6335763204465228,0.6507448384021063,0.7349669191620554,0.587233353174245,0.6102381663183387,0.6145840151023227,0.6065383906746294,0.5626017793034078,0.5918228968513025,0.7071507524234993,1.004318280477286,0.9555427666068287,1.0586764444780996,1.0858235817613155,1.212897614679637,1.2693657120694357,1.2450524822899325,1.1643795225707894,1.1245016250288815,1.0047823974899153,1.158242807284401,0.8690398044852716,0.7116561196658009,0.724520731440018,0.7304804281005858,0.9033552124510863,0.6958256651508385,0.6612653513683674,0.7175400129134882,0.6778489028891792,0.6737427980180994,0.6952131694749395,0.7789174645290482,0.7168360361577446,0.884221819929808,0.7949347149772802,1.046833725986425,1.2469204114465329,1.090215980590952,0.8166464580779678,0.7301436837026875,0.8429536400231212,0.7312944260695167,0.8706975497076613,0.8614574685070542,0.7601018968858921,0.7767985982707546,0.8329680055007971,0.9739894990142669,0.9537578253950183,1.1687521085979804,1.3401957458760607,1.3365207245020274,1.1651435820490725,1.096996619160736,0.921914162646497,0.9537650559155697,0.9317862354276074,0.9014765283688425,0.9091478147981662,0.8252418641194703,0.9321994125457063,0.9425597681681412,1.0027763557661273,1.0944790435665577,1.0215131940224635,1.1534869365289169,1.2582173557183864,1.1887538856700706,1.1842458983911388,1.1016788678894713,1.6000559048372656,1.9741502884807454,1.444531930066,1.4783462843832107,1.2383448569574866,1.3694837932956687,1.4115645816040083,1.3709793632493614,1.4935185223855656,1.4039482472212848,1.4441812129752225,1.3896972090850788,1.2905884875409956,1.3139648101667354,1.1941918820896977,1.1579038480357247,1.2301633134692416,1.2246719609237848,1.1299481740319846,1.1416006647399577,1.1890946400014335,1.1875342017497756,1.148957845828369,1.2119942159291157,1.2948698956628562,1.287757642201225,1.3380374357279132,1.4807040710772656,1.3793618178194829,1.5332742423881112,1.3836608231223007,1.3298771328546988,1.366434786118735,1.5210089647441087,2.0724568882061165,1.6729001762184006,1.7185386670479348,1.46259506875005,1.4687720466725258,1.4643435676712213,1.5334893959816713,1.6465995173227546,1.4789770745221185,1.5476374442753436,1.8279758764323033,1.752842385063486,1.634965587148184,1.8721212543041186,2.1662438153647887,1.8457437410624358,1.8634356485258883,1.507463025047496,1.4749466143442542,1.426128347864289,1.3585723666282932,1.290727475634788,1.33237262995537,1.2592177933032502,1.2522898236356044,1.2338718272352633,1.1762735009261713,1.1274304937445851,1.1753595620163675,1.1775869231120537,1.2015912594787348,1.1664548027359645,1.2425175174624785,1.3019552202435636,1.4361453514990221,1.3422004645899352,1.3820211782994996,1.3197057446131564,1.2813216504876073,1.2335663550203768,1.2997929731163094,1.3069287257399782,1.2594030532345102,1.312228428649912,1.3606025272811557,1.3358454182935824,1.3659409538301275,1.5484627581539232,1.5925069976201716,1.4639910321080278,1.6763145406436322,1.834827114060896,1.932619572908537,1.7371579887490805,1.5150754332330825,1.8397336068374184,1.6111975545516795,1.4450418150713575,1.2477139522967993,1.2049383367456692,1.135771808082259,1.1334156885403466,1.1531094160032402,1.3307717767032772,1.4009383660593229,1.3424040192727353,1.1816468972040195,1.2369861943393288,1.0552725293539884,1.0804492442578766,1.0842156262520684,1.088618576025776,1.0686146411662465,1.0384832015625973,1.0372450462432297,1.0417435893232982,1.1434984332544036,0.9454301337412511,1.2438063562354402,1.143401212096106,1.2800697965380805,1.291454406758421,2.200275464220027],[0.9114580586222891,0.8293775833455679,0.9427616933512851,0.6665727555662687,0.8847195873584945,0.7466119366396283,0.6849603633299414,0.7089840085208629,0.6623849243652465,0.629275668874296,0.6107561334674196,0.703424647994779,0.6297265403541669,0.6155743589921319,0.6268814705208624,0.6699993353286386,0.7052096047046155,0.6994183907034324,0.8401303250511785,0.7886241707471342,0.911149006968077,0.9397281328314413,1.2221342770998411,1.33539020487596,1.2129207273365232,0.9863195313836927,0.9067261029470997,0.749091853051019,0.7210456979244952,0.6988600026133329,0.6779489361822449,0.6791200250477076,0.7031875625909839,0.688913380387141,0.7133325348540519,0.7401938692677137,0.7373713072704534,0.7899621197790595,0.8127073692869309,0.9110321343121908,1.134733742240457,0.9648434894528167,1.033366713756281,1.22871051590375,1.704243341131546,2.4449753398279044,2.714786908363412,1.8826454102838106,2.363986683182546,3.451523238141056,2.122013369473174,2.0424917727437597,1.3426762638452652,1.183597565684715,1.4350200649851608,1.208085001859796,1.2082651955904165,1.0631981353049778,1.065634215609216,1.5682605299552255,1.088977266701071,0.9708484755341057,0.8792564050557091,1.0303308701476408,1.0150463545218251,0.8769486248539798,0.9078709347599743,0.7528649688862605,0.8141924083034563,0.8410975418032969,0.8970931912038641,1.0556912702812253,0.8589758819839072,0.9419259523678598,0.7917181261976982,1.1056956667218947,0.7923099416379269,0.7729056701141765,0.7947943878748992,0.8832195775823836,0.8267357143990572,0.8342089291320726,0.9773817474518222,0.9857015859378268,0.8789900552324048,0.781835156277171,0.7873077572557412,0.8276815595951366,0.7673910151062033,0.7438771688016045,0.7271417047932399,0.8236060332626587,0.7696652833136032,0.6476518739908094,0.6481934995855928,0.6953967122050811,0.7705590689699862,0.6993625765671659,0.6770779411808213,0.8160221786036927,0.7309564532095421,0.8781147639081494,0.7661132376952874,0.8501700192196737,0.921885151968107,0.8930883010445637,1.0023129999638245,1.04147896961884,0.9789518699528162,0.962921137509006,0.9037362762216877,0.8042456012512946,0.7166167222956493,0.7075934063464422,0.7080352846526092,0.7729668372685394,0.7592825597268394,0.7777555339479088,0.8636579975911255,0.7356549601912815,0.7659615770912049,0.7466750937233887,0.7441674058760197,0.6704837026856015,0.6335979241149817,0.7115642241003931,0.9618562766289361,0.8452521147530537,0.9081875428256497,0.931732955996928,1.040366082891624,1.0704325798292755,1.0505971487595234,0.9858710116050189,0.9776212564540521,0.9292566518449262,1.0332757812767372,0.8329704975358115,0.7340269495187801,0.7647990226306666,0.7961795407815377,0.8996137752575495,0.7759685385541747,0.749717640070985,0.8037320810957953,0.7477485488535013,0.7435842977047366,0.7147862884666528,0.7615545313080719,0.7057458027337127,0.8095618798907696,0.7409674372331821,1.0134320892051023,1.2344574389759833,1.0706417528221706,0.7695363488829362,0.7059669735891774,0.7871540349443615,0.7118202623858599,0.8115884077443186,0.8115075989710406,0.7700371453516017,0.7861277929370042,0.8111830900740246,0.9147259541184888,0.8884632256073274,1.0368399523046155,1.1855832730105298,1.1790343998998385,1.0551052122882927,0.9676335445554304,0.8575739791750998,0.8737598913506301,0.8547742553787029,0.8334948409859722,0.8337138476642293,0.8040953301397666,0.8705363858557927,0.8593367713698616,0.9104468537718198,1.0025043705836298,0.8966546403776836,0.9900017050133402,1.066668659514903,1.0313726267385728,1.0810877975204956,1.0923519865881013,1.5822558946928083,1.9085724894249412,1.2995730213696128,1.3057360716258841,1.1088200030709188,1.1937827409829083,1.214221211106441,1.162225150144323,1.2725666942244183,1.17509258515167,1.2060184080640608,1.1584661432066408,1.0839825097127849,1.0892027805780014,0.9799950760064341,0.9593667028859632,0.9971327183759184,0.9918100087103726,0.9191889353907851,0.9369652660274363,0.9733843285615967,0.9700316881230897,0.9760920777142792,1.0466599081009036,1.1333092238994842,1.1228263694724208,1.2703066917871673,1.3449524971656435,1.2205841018108334,1.4178763330360111,1.1835775612857709,1.1065680425259377,1.17272052201787,1.2882314118262872,1.9106181206761461,1.4844897139172704,1.5391328539365263,1.2313045637199822,1.2090447701426696,1.227515893266433,1.2909158913562693,1.3832426496388888,1.2333742027677264,1.3289221165467817,1.5269060154343388,1.478254410009297,1.3998973714959038,1.6282791713514435,1.903215288961969,1.5718337011986603,1.6321593347564873,1.2758861804518404,1.2493398735558616,1.1926882532373881,1.1157755667961538,1.0639515399058141,1.1233167715238208,1.0597703678046955,1.0477543617692031,1.040647805629368,0.9799293763974878,0.9449858689319033,0.9664440395676467,0.9673086693720688,0.9960257474929458,0.9596074907378184,1.009775988616959,1.0814013521596906,1.2725178561911357,1.1324181786440908,1.1636244031788432,1.0949799058007987,1.076884541517572,1.0340883476059282,1.092462540658531,1.1237780999623448,1.0320680756320668,1.0917469211189603,1.1536117362119902,1.1307470921772422,1.1186967292307575,1.3174125773716694,1.40034235612427,1.2117859087548146,1.404167497909498,1.5623434824554552,1.621876621987891,1.4433205092987236,1.2290490912260732,1.5812363437491834,1.2706873928317768,1.2589549685217871,1.0656866367344844,0.9902172258937227,1.0272139963900628,1.0498225302622282,0.9329250032704702,1.0564193378210454,1.1632571823521842,1.0919910690903627,0.9838498724001835,1.036003401433383,0.8990017779554274,0.9104272657585198,0.9089388369525017,0.91463845269999,0.9048458190289735,0.8731455030525874,0.8911554242693643,0.9062930913707832,0.9953910844759278,0.8176707275547219,1.1845468656473497,0.9819231371330336,1.257783057047464,1.2123955789049232,2.1134874779960895],[1.0784757177076745,1.0527206003560514,1.18167371291829,0.9736125782813538,1.0236663928580632,0.9744424505985517,0.9358842295403142,0.9479427786115847,0.9470800606073853,0.9007932731485663,0.9018852853899796,0.9498125814520525,0.8772684230965982,0.8856127512048305,0.8867308084667483,0.9172193567153062,0.9204053247239528,0.8815876777155656,0.9529615271988122,0.9008324085604571,0.9489988610099703,1.0103246858597938,1.0782147030852063,1.2446825094245564,1.1490835011529377,1.010298412247503,1.005970324404138,0.8627940634329817,0.8873643841616398,0.8711304902527928,0.9082553972749124,0.8885404544528999,0.9132354421021236,0.8940104220489368,0.8839398977779529,0.876601321068652,0.8710118252540884,0.8850818561526302,0.8827665025125759,0.9962959853754647,1.223481056754383,1.0224977463246967,1.0766753882682054,1.2316821645633236,1.5447485080237282,2.2957693151247667,2.4953517274741763,1.7696020721085353,2.490484880979664,3.438199533971016,2.0702511687932725,2.0759868088677185,1.3137939493572908,1.148896649776089,1.4612743322272914,1.2005704027290316,1.2468074798052464,1.0967159465575687,1.12968395492293,1.6431183850859505,1.1160517012279205,1.0271006735218098,0.9483164484073318,1.0500639190002115,1.038467447357778,0.9489918699105501,0.9941455756967613,0.9120599319048268,1.0172513445958347,1.0863777859842867,1.1444707858387568,1.2603797943300334,1.1316925231634138,1.1517338422283132,0.9508521281535748,1.3519035328109823,0.9013757824632544,0.8931159536618187,0.8911953476377606,0.9285803189989,0.9637048787327293,0.9540060083702759,1.0432606498721815,1.061667502026799,0.9743120049389182,0.8821311011701457,0.9009803376542186,0.959895901431494,0.8691782765559968,0.8976114479218253,0.8926152580666626,1.103304643690554,0.9884785260828521,0.9116530976911611,0.912679827325369,0.9613767945232341,1.0356269579992918,0.9397040452598213,0.9239264778974123,1.0272835334828578,0.958138718955989,1.0831391722954686,0.9374332107513141,0.9759818684676113,1.0065923637919505,1.018050892701096,1.1197235749060235,1.0869695825929218,1.055554781474806,1.0582812711467002,1.0369497446317282,0.9587539617428261,0.9412110688095233,0.9295756163470421,0.9118375161905965,0.9461148967545924,0.9182390313770836,0.887188239721297,0.9921175025411195,0.8972230916390134,0.9106202478164854,0.9233082807596743,0.8981539908849351,0.8815820623035878,0.894525211651142,0.9302997803364675,1.0619121736355746,1.001314695480915,1.0060371886490673,1.0002002044522307,1.0880171069556763,1.1007145382212915,1.054194739251517,0.9906566452079192,0.9934691026919966,0.9854200494620805,1.1071202657261399,0.9040769688278426,0.8467691539017344,0.8656638138767632,0.8195673363352057,0.8268573924134057,0.8113200875953565,0.8405037181558442,0.9133291327655606,0.8480723976085515,0.861570807017717,0.8922028885201934,0.934514713110743,0.9234675453808167,1.0075324462222186,0.9669717212764308,1.137617272761906,1.2842559160976277,1.1641441598520037,0.9827940960549099,0.9238646300964302,0.9820077819315852,0.9362956756205487,0.9597057127827635,0.9230158638330765,0.8885962223097458,0.8525855390173884,0.8655920203769352,0.9344973551482132,0.8783665801658688,1.0011707528291887,1.134777506187138,1.1494830763024482,1.0570332081332279,0.9833576052246761,0.8994616148469482,0.9240456137083164,0.9264529318646072,0.939905825933057,0.9310576066305288,0.9359722531132468,0.920352313289756,0.9355263721959024,0.9700063097863977,1.06989359591455,0.9505335966631338,0.9722717523517144,1.032491752383782,1.044735799573541,1.1499301843841676,1.229084866829606,1.5458558680018037,2.0644509185155466,1.3069899741876008,1.2707030008843958,1.150646651551744,1.1687028088633298,1.1868226818164747,1.1269839274499285,1.205705330588347,1.1453906815253225,1.178516054982304,1.172216479030343,1.1714801459313193,1.1460648906016777,1.0868063978932974,1.0924345813805094,1.1153533817622412,1.0884612747326516,1.0508718514482445,1.0770971463115837,1.0659737953635255,1.0560891318262817,1.0654914670019289,1.0798222252312883,1.135567140039295,1.1751704146701294,1.2365486137902082,1.3120518709178237,1.2359102197265426,1.3985291202910923,1.2435997208923892,1.1785098056465322,1.2062485570450203,1.3638191299511528,1.7525086840941526,1.5869230123158131,1.6677116843118056,1.269713670612637,1.2502986877933389,1.2303950891190112,1.2688499017117358,1.3749327556319293,1.2383926889404289,1.2866009305088166,1.5081785298561243,1.4918612430551488,1.383722689718772,1.5838752181707023,1.8498476724988282,1.591648888317303,1.7033163557476847,1.312905494932972,1.253001277753599,1.1692355216648407,1.1242431269721136,1.0861660987773332,1.1953217697011815,1.1196125076982264,1.093851634331453,1.124277476343547,1.0911738831660955,1.0491356047914637,1.0716631262405678,1.0689370164306662,1.1058170594231338,1.0607008157084317,1.0936137146407945,1.1729744071557195,1.328585296964055,1.189659300807491,1.198121092617969,1.1283823995552362,1.1029190939203137,1.0843146059322881,1.1124775426090154,1.136128797901948,1.0909523532508159,1.1372286645265148,1.2000534590136847,1.192720355971798,1.1881780967260545,1.3597359683584138,1.4962396248069136,1.328931994764077,1.5001144578191996,1.5880207099816996,1.7581222199160327,1.5915919969570702,1.4393190799779416,1.7100175687737016,1.5507709497201847,1.420533077300411,1.1703160709891858,1.116217204951486,1.042928383884787,1.0441735145053517,1.1791428586011856,1.3976974534994069,1.4533456301316108,1.2849469002683003,1.141222281099698,1.1356657109693156,1.0353936141567546,1.1078543475964122,1.0845322399910928,1.0531395533607053,1.0942177583209063,1.0713823081230012,1.0158320862536718,1.0359292053419007,1.268934460567483,1.0436447703354625,1.227808102431592,1.1734078284470186,1.3104986211640912,1.4208233078373094,2.188034023122515],[0.6453623247119904,0.594394600368308,0.7224527874374116,0.5008550273960007,0.7232159487840231,0.6069395908929047,0.4722457907269908,0.4920078357950637,0.45942692703862065,0.40353332553391696,0.40160938899147375,0.5021150288211721,0.3863822274952037,0.3892129329968763,0.42039212520727437,0.41840860650499057,0.4843272967842934,0.46365868332637333,0.6151445154005397,0.5501769771803215,0.6687939469003934,0.716879069424012,0.9486720082616061,1.0693158358389303,0.9670317811379757,0.7383382817773672,0.669405463658435,0.48733463973723185,0.4816135027302978,0.43194203544603027,0.45560308380374376,0.41737962636577386,0.4596718909842569,0.46612437803419954,0.45428106200339446,0.4727247290013904,0.471311219947353,0.5258291526756744,0.5424808344549542,0.6607097831974481,0.9232781441170262,0.722421005825309,0.7801096748099512,0.9969673013194436,1.5076311087255416,2.2464288061848534,2.456888461506376,1.6169935151017347,2.2144704424389436,3.2031453820969946,1.8524656010849436,1.8706310104938204,1.107641967702897,0.9795907040934635,1.3131838272236906,0.9359360439137242,0.9451056195447151,0.8074965829119987,0.8022295131169352,1.3805586157334504,0.8672961830739939,0.7533327061060794,0.6246792495552826,0.848529673920544,0.8067158603096461,0.6338710919666055,0.6986134860038848,0.5474992611412167,0.6649476651832658,0.7130432852920566,0.8096466880256025,0.9970829367751999,0.7572594596219383,0.8655213628792903,0.6100011582369739,1.0044398703694832,0.5653403052546258,0.5133074721318417,0.5422277513387166,0.6213440357180324,0.5741765422669698,0.573244264067016,0.82252607544742,0.7328816510738542,0.6156510143806853,0.49994622351297113,0.5127804687887888,0.5796455367758099,0.5004672067425531,0.49981378103771285,0.5266445680430226,0.6958481859637956,0.6000538236913878,0.4502857856816032,0.43823552522276976,0.520640516454301,0.6235529751223595,0.49002991645189126,0.4484800561962748,0.6138978544797933,0.46272611590880786,0.6412175015336017,0.48823242057884575,0.5850560549595719,0.6532953920813033,0.6481385481777736,0.7813094890751096,0.8255740580933555,0.7524451370705879,0.7592421343344773,0.6800858398163897,0.5544700321346023,0.47151128830646694,0.44402217953955214,0.4527103656979647,0.5141245183939994,0.4998318549178674,0.5416709871159925,0.6816252394949781,0.5069006717489429,0.5576726140025342,0.5317508230705525,0.5200272957436192,0.4189296283579209,0.38901208111385027,0.45137838749418785,0.7371546490827441,0.6352764956374357,0.666163414502068,0.6745738683690696,0.8071795943153685,0.8330863640956935,0.8178698559495562,0.7288774875776253,0.7305992740244472,0.6939003656998081,0.8712204183480609,0.5953511487146472,0.47707553924822454,0.5010724271062726,0.5715824015090647,0.7024099398203757,0.5413290495374183,0.4833124891661217,0.5375142940614815,0.5089737480369272,0.5023968228717623,0.47457606103540245,0.47667298550642384,0.4623541339191825,0.5669125115436016,0.5522264311624333,0.8209225886883529,1.12992545962624,0.9445586989372791,0.5427452709620462,0.4621340988166927,0.5229596026297963,0.45612556819167116,0.5437158253812729,0.5272124399392464,0.4910831794131032,0.5282213781315797,0.5348708769853088,0.6401316349964749,0.6427305081257016,0.8215223070377661,1.0155550811680927,1.0179506360054016,0.8667383693413986,0.751782043071136,0.6099740353636423,0.6235207989042306,0.5875845299071105,0.5559777398083773,0.5699398449639627,0.5362765898498837,0.6211738332518858,0.579721276364173,0.6212564649792414,0.7360141284127467,0.6326590707745552,0.7265727272134911,0.8115045093559803,0.7723746261657203,0.8413545364150647,0.8987917219033073,1.3171857096940898,1.8635481004899506,1.1430514274360408,1.1878051650757393,0.9611872892459026,1.0378262355762737,1.0484185285587226,0.9568742179994113,1.066178345038385,0.9720289714495152,0.9765189263502149,0.9527238523614867,0.891026284668333,0.8679236237298142,0.7490892142458365,0.7332236274144247,0.7945494579012515,0.7751651162624809,0.6939064007339188,0.7210950606165405,0.7930930809965724,0.7654775399888385,0.7775736775514345,0.8588419995947751,0.9468879636281292,0.9444344357863255,1.1375868698304885,1.219256727236575,1.1007855366011987,1.2751947672280703,1.0567853088248715,0.9563676408491532,1.0133410234401077,1.1260894257198826,1.5680711109739423,1.3557493843018626,1.4740678475832163,1.0505499254972892,1.0082146011550883,1.0042498403466746,1.0772020016065107,1.19166353093572,1.035820726196362,1.1248479038263777,1.3270768065674083,1.307957304826018,1.1947101348444173,1.4284144538628665,1.6915744559502273,1.408024617886935,1.5056284467593455,1.0915596586325433,1.0405183597836911,0.9640759467686679,0.8830448031585998,0.8388074835561802,0.9073659761690928,0.845080634929403,0.8206597136899297,0.8225053628982382,0.7616512939237242,0.7302285292705494,0.7462811330067581,0.7514149843687641,0.7946390908526928,0.7399724039371576,0.7993106278577474,0.8819726129614821,1.1261551202325022,0.9441991926329191,0.9504873560124399,0.8917077009890625,0.861735417571787,0.8098407628624714,0.878352514592535,0.9324851889194808,0.8406421114713345,0.894736577395752,0.9690993782850417,0.9664318281709113,0.9331671196909077,1.1312207597214563,1.28451119787218,1.0803530765303941,1.2689565415703437,1.3774619750237571,1.5089686574810344,1.323772697073266,1.1294977321897428,1.5571733753053003,1.2533987957089348,1.2028217794490925,0.9751926928467284,0.8460354550260447,0.8440081490400387,0.8548556764251731,0.7755135159451859,1.0180333194674716,1.1244188597174016,0.9695330107967569,0.8192240763260179,0.8293689064252232,0.6964174656602569,0.7007199945084973,0.693189665484566,0.676845241212553,0.7125327442706978,0.6843557873721179,0.6416296167089567,0.6542015115398317,0.8829852951594425,0.5848005145223475,0.9635757405932464,0.7165996236458924,1.255195362978204,1.1897281415145444,1.9725240812955136],[0.8587873269228483,0.7813739267471216,0.7984338161358008,0.7459352008506953,0.8156026375717967,0.7928247188983175,0.6062340163234455,0.6362408164360754,0.596436936727949,0.5047904980205702,0.5203881053661783,0.6146501939645508,0.49946394535467104,0.4854141021033156,0.5141127985794394,0.486523911169302,0.5518956146460001,0.5414615027076841,0.6625308339553402,0.5798287763673482,0.6731997678493585,0.7378605788428076,0.8730858884153592,1.0193090713102293,0.8838639719659789,0.7298555069628686,0.6744997335591479,0.5219943428208265,0.5344386975523553,0.4876389289908531,0.5308565850494157,0.4892876237660611,0.5609303259386546,0.5512559470501684,0.5114427218994502,0.5221537697254282,0.5096467521891117,0.5576633256961003,0.5678795425369672,0.6390867957192541,0.9432313272184475,0.7559595159822964,0.8106472432907462,0.9931385541909501,1.4664448490427362,2.0670833248696225,2.2572384847866984,1.485358011657027,2.1810280913152194,3.0021764609565627,1.6876625990861296,1.815137978613371,1.0296585479307443,0.9584414452814605,1.3124690722075958,0.8844542969353221,0.9100841936264351,0.8464677926592271,0.8053755186484964,1.4078207878081412,0.8989565568144976,0.7694992345750004,0.6567022196564154,0.8926416955255884,0.8445528906907039,0.6342747114728887,0.7220141590957984,0.6213089523464981,0.7740760431793925,0.7865965211823973,0.9008753778624726,1.0984029386103435,0.8519069486724111,1.0231245903188906,0.6884063186062267,1.071121693493971,0.6402276161475046,0.5810756401265639,0.5783660012142273,0.63316291591493,0.5768967128427962,0.5576775702610448,0.8607648628717559,0.7201529135025502,0.6061319646642372,0.509667482804426,0.5429057785173416,0.6227510749885575,0.5313918774974361,0.5610693915084808,0.6151906717790557,0.8112556841491886,0.7220656703378245,0.5779473375411709,0.5511649975334536,0.648495519143726,0.7035325778022669,0.5868536718270654,0.5688591351611809,0.7261013590404318,0.5295647604398329,0.6926690942581788,0.5231122244023811,0.6325623482094344,0.6515233965532107,0.6733766118951178,0.7952980546440596,0.8129072529967931,0.7965964295482616,0.8342679775587513,0.7686811275235352,0.5955269622000763,0.5441933792815472,0.47985707288419976,0.48418039060950907,0.4965534854224515,0.515936471581698,0.6025947905155752,0.7736707385265655,0.5663475947573919,0.6059540764324818,0.5712440146431792,0.5531590087103716,0.4774414761981167,0.4739356181230287,0.5016690001326067,0.7987741384050852,0.6440082807404146,0.6821993431899849,0.6649930711589086,0.7816316159557412,0.8003897018071,0.7648297688259426,0.6947235355518139,0.6893608792601539,0.700182931555425,0.8832810360864767,0.6030183711140947,0.528927940437001,0.5371289074310158,0.6613407833343841,0.8027878013371924,0.6196455828847142,0.5187197918413498,0.5463087757930588,0.5519347829799216,0.5298063265899028,0.5223207543011072,0.49745292000525426,0.5420192772259254,0.6588636880169869,0.7030819871471163,0.9163936148167033,1.3316533383362859,1.0994362706278717,0.6612577604390779,0.5690471401708889,0.605321617519862,0.5130600025895014,0.5608475437109119,0.5038910441511575,0.5098358169219785,0.525614444798371,0.5180420109709155,0.5964339620820015,0.6295934030913022,0.7981056033785618,1.0187893462227071,1.0166174819049458,0.8507434620958843,0.7301307689662395,0.5876354315708269,0.5948106676313356,0.5568776818399032,0.5130926765242639,0.5661154528368549,0.5328057963195274,0.624910421448257,0.5480490387098459,0.5726926206319936,0.7204897751208228,0.6170815510360114,0.6803775451108746,0.7425429800833052,0.705666344338849,0.7837781243255698,0.8553834278690415,1.1578274855431427,1.9644408010285384,1.1737756692433106,1.2236396409371346,1.0024803054816072,1.016454332239779,0.9973511018076522,0.886912258195807,1.0006259082149198,0.9341109356105771,0.9519007081278363,0.9941809351987235,0.9957292890334141,0.9661199757746542,0.8723287996101995,0.849549572133559,0.9400848922676874,0.9337839961502471,0.8713636540869961,0.9032172278827442,0.9882520806704052,0.9740884165707886,0.9646797116519572,1.0472214784261642,1.145683857144915,1.1208016948399007,1.2503935425232486,1.3573518874278667,1.2650118754342883,1.4494075990406265,1.2437525289181415,1.1533702728442952,1.2222152120983445,1.3073633137317788,1.6728193105274267,1.5339276832488546,1.6665261943953922,1.2012875027955716,1.1606811205255991,1.153016001119214,1.1607853603702876,1.281146510766504,1.1308879989466623,1.1814659511354837,1.316902313604778,1.331397977614278,1.2226478275282437,1.4426014877309057,1.6827697844954892,1.4393358598247266,1.5517525988311391,1.1499493536234862,1.0891975322602712,0.9874065951475125,0.9635190910315434,0.9132587349094121,1.048262025039272,0.971010537978236,0.9561447825905303,0.9745076247807609,0.9480119979066746,0.9182316309620876,0.9477514386831191,0.980272120082379,1.024407022771456,0.9612812101413736,1.0210265392621907,1.1054504273743904,1.306395708377669,1.1345218586259878,1.1480544453941028,1.0964997180789453,1.0599762158300006,1.014187373364459,1.0385806921846508,1.1347749156297198,1.0275577317869105,1.044572314882063,1.1315451400458927,1.1430519706697937,1.0732540324925752,1.2385544982385572,1.4057527466478261,1.2365127827836184,1.3700026950949358,1.4486051551795633,1.6266702857684392,1.450365269620957,1.3255271636014339,1.6803287419234259,1.457458262731407,1.4156818580204011,1.1902535040766256,1.070765010896923,0.9839040725277948,1.0079036702203295,1.0852887168163872,1.2917011214815775,1.352966776585417,1.15675841922792,0.9642076848511442,0.9102792468589034,0.7644786544495222,0.8315086382249767,0.8309179223407341,0.8415919516906402,0.8569765395323168,0.8452099733347597,0.8215234032806179,0.8666707499833913,1.049926575146379,0.7797699339655472,1.086731376761485,0.8629763711537043,1.3647599454223343,1.3599910471512826,2.0242759242904533],[0.7690699226934832,0.7051093361713567,0.7201552986098834,0.6747168933573171,0.7998286709798025,0.7893553164450663,0.6456830036757922,0.6665827048805829,0.6563043662880464,0.6079114079485094,0.6402372684941428,0.6938066755946886,0.595229384299205,0.6102514303723985,0.6480397726726184,0.5903213476645129,0.6424558781981893,0.6457586302267531,0.7352217411809507,0.669194215989694,0.7451635401371792,0.7628728435854363,0.9585035425312973,1.0696769001124533,0.9102354561807755,0.762039867405143,0.6959154258185227,0.6075903491423601,0.6264073888808407,0.5762259554850439,0.648614677547358,0.589578850487226,0.6470503348787014,0.656354410986361,0.6004814526010073,0.6126451414000313,0.5852598409123208,0.6015315442639251,0.6024118136722034,0.6472309194687471,0.893900609042966,0.759389051814488,0.8052249505235204,0.9902594395503286,1.5041827468885307,2.0379876371466032,2.274249660260084,1.4668620944134638,2.0139592495947616,2.87575838971613,1.6251205798157669,1.794304898370592,1.044174564364891,1.0008574159624843,1.3099334678740537,0.9014307781694049,0.9056276782345425,0.8769404076344369,0.8102590307223568,1.4242027721129282,0.9371147014014429,0.8257314850304177,0.7166734987853384,0.9980692981203118,0.9300138643689335,0.6953689690388001,0.8241315461418437,0.7372754292119023,0.8640222166748953,0.8907670584072498,0.9714855898969765,1.1978015025029538,0.9433240388847193,1.1130341200271623,0.8229397047637651,1.169891601442307,0.7489106045989581,0.6931267429331073,0.6833238628472595,0.7014142415235516,0.6143269226900917,0.593945523564149,0.8875230242769893,0.7233172892026556,0.6244236194168339,0.5575680013719674,0.5907041738670706,0.6784076179098782,0.6176445310047336,0.6576069272301234,0.7403468787680091,0.9017326535290903,0.8317780430980404,0.7015460104839689,0.6665040199851897,0.7558438035085371,0.816581464174407,0.6808144347989554,0.6538151352932221,0.7833290242053849,0.5777532782124264,0.7021513795155263,0.5366090467666457,0.622784139379082,0.6483391509298739,0.6629877677263493,0.7544912376742655,0.7816299227557821,0.7500696274257482,0.7959270331245951,0.7287638734833656,0.5989848010859296,0.578052970738241,0.5140816377490969,0.5710913374137482,0.5760259720521588,0.5957180517109453,0.670011210460235,0.8190800763734173,0.6599873720297146,0.7121017340207298,0.6647631609211979,0.636286424134186,0.5633823414809813,0.5507787983129353,0.5196304795042399,0.7362436902649322,0.649366221369793,0.6544669588738277,0.6581569662170006,0.7391386500701244,0.7539007306364448,0.7571646459076512,0.6824677313220702,0.6963612470665097,0.6871784991682309,0.8521690133023844,0.6346782899831088,0.5708379773294676,0.5672566310096087,0.70526911258367,0.8951569794180109,0.6969921319756055,0.5814514718905548,0.5895534456684458,0.6201776900029131,0.5993991546021539,0.5806298035836215,0.535096160421476,0.5864659547735428,0.6487842905512456,0.7530699613663662,0.9418993728858813,1.3510618728773038,1.1553381651169208,0.715497021380649,0.6262891692817731,0.6148966770534582,0.5483223424618375,0.5783915672409812,0.5421128632756423,0.5462243079533701,0.5965641742312119,0.592659824686297,0.6236738421751008,0.6928265592811433,0.8407982531118019,1.077271892587203,1.0572066221514371,0.8753429166020649,0.7546143594551652,0.6275490135084391,0.6292620011960169,0.590875904525979,0.5507765961304506,0.6114437952289719,0.5832122118340346,0.6542816054012356,0.5882079358224501,0.5770558219027534,0.7065011387287294,0.6305951916824039,0.6859589724845514,0.7590995660786137,0.725224249697191,0.7654364656088392,0.807052082762989,1.1543280240682428,1.899503720969851,1.1927081877640175,1.2590917474792331,1.0630577615791694,1.069746578417093,1.0441077936040388,0.902257894396178,1.0048739085358402,0.9148685234277563,0.9192149348877797,0.9254681035454067,0.8905929693532146,0.8716519950962506,0.773608609434104,0.762297257349247,0.8233502860101894,0.821306870816881,0.760457982278478,0.7691244178274934,0.8542124438362989,0.8508896805344451,0.8533916134506256,0.9342015307907894,1.031887003451919,1.0261482642242197,1.1937813767917087,1.2577014498924444,1.1213131527851659,1.352417710096172,1.1244494727456298,1.033711022916492,1.0950692361631467,1.216731563352256,1.6094237469742025,1.4101792565964528,1.5336799920603974,1.0876354937588764,1.0364834321778393,1.0435983908044046,1.0850731591356362,1.1981032280681239,1.0431965763777125,1.1215618887202612,1.305308233217172,1.2940286490054027,1.1649734574318327,1.4048281471247108,1.6652710370726622,1.3818306454154197,1.4717333357792661,1.0718291992742592,1.0164854420756022,0.9404699025663705,0.8959358226245507,0.8495396373445485,0.9516055902025713,0.865597374205535,0.8545091525140979,0.865999479402547,0.8233851217389465,0.7973337212458659,0.8244532664100924,0.8557550160421278,0.9154499112511293,0.848613588334017,0.8946276481186829,0.9978192242074382,1.228872277894011,1.0296337807877114,1.0439066270665418,0.9744873922200739,0.9379849383907175,0.8879318958551143,0.9185239823548252,0.9959781748979423,0.9037060700278677,0.9330736132338362,1.0113246416867339,1.0178749178580446,0.9645634145642151,1.1559348415662547,1.324226823209699,1.12145137719492,1.2730710738163675,1.4008287882600912,1.5526194335153163,1.3568295073157495,1.187834416542684,1.5877689728548305,1.315120769683456,1.2788956488342191,1.0437797972999292,0.9291560035557576,0.8649067355730943,0.8694436053293702,0.9156893782005228,1.1053006268372343,1.1877690364785365,1.0116116690246737,0.8491360785007167,0.8203691569916022,0.7097558439884394,0.7772761489840049,0.777259346035936,0.7548103372499954,0.8120335120459132,0.7918515999722284,0.7320711821474107,0.7696841436973223,1.0024431389645088,0.6993128580314799,0.9916206752780256,0.7846500989451373,1.4103923224589687,1.4184563172206137,2.0897326100564753],[0.6761877984953616,0.6318326822457089,0.6584670489144886,0.6336118817812373,0.7877215126881953,0.7972342800158572,0.6902227347706309,0.6989700229132209,0.6969911911054344,0.6868081973314097,0.7129028509555623,0.7702715142845673,0.6905910652405708,0.7087027957410114,0.7670833661142817,0.6930382140368752,0.7290978028894288,0.7548605613545746,0.8205114436127826,0.7707096181732241,0.8378390409756974,0.852205924963192,1.0312933491115877,1.1050793375538113,0.9682116731691323,0.834849435031839,0.75781210319205,0.7354385255689276,0.745126872298758,0.6854105108372199,0.7580095854813537,0.6787023629198113,0.7365184825956487,0.7499522102291979,0.6963132916522525,0.7115509505406049,0.7089774373781436,0.7074589152608844,0.7168259622095784,0.7585365134231319,0.919028815118636,0.8068413762559138,0.8564849076095519,1.0353325634630821,1.545768681511179,1.9840801339884924,2.260464648197915,1.4632735529856886,1.8844711883080354,2.748369878057369,1.5886527510366275,1.8002715574530928,1.1398183012831302,1.0970779425098802,1.3389953704377617,1.0157742856064313,0.9794751349155602,0.9363282543111886,0.8657948765550987,1.4882020460272343,1.0055041512251996,0.9109190875263397,0.7903811440806632,1.0668134343030335,0.9950293388589598,0.7874073922324325,0.9229718601617036,0.82722284113126,0.9183530144546976,0.9540918950346831,1.0312822150739802,1.2472804642718456,1.0054208840270935,1.1617346559190387,0.9044309692252172,1.1904498244256814,0.8459645662985817,0.8109595818485079,0.8032705086218129,0.8040263904262085,0.7120240083929426,0.7150910180860218,0.9687597629606972,0.8161248211373805,0.7485675770260101,0.6874869841241302,0.6914091123938503,0.7550051466187195,0.7197048312725467,0.7468865445066529,0.8339771515443493,0.9934509035666559,0.9321486429203825,0.8061225105349564,0.763179922875557,0.8594080035472133,0.9030166271940874,0.7621598771883193,0.7276580232251668,0.8236781027660793,0.6497584902888197,0.7165705018423177,0.6157454217888331,0.6687100793437546,0.6893578106015712,0.6979658593093547,0.7446649983616589,0.7937017443407434,0.7347235390372291,0.7745530861283397,0.7125108997461395,0.6509540752097333,0.6417414255949633,0.6037307650505948,0.6809535606277823,0.689891169017429,0.7018510228369571,0.7872852566487129,0.913016960203695,0.7642602038400191,0.8057951178610862,0.747299915246126,0.735208200995884,0.6586494555859039,0.6281799940438689,0.6006762266727321,0.7354211820491323,0.6852629455987022,0.6636008969326873,0.6989576507309102,0.7393804758680963,0.7501321968885788,0.8075681533093589,0.7464947312277428,0.7670459544395177,0.7550989888036811,0.8865879658595247,0.7290646592189726,0.6704863911722454,0.6780284984155227,0.8332287636815469,1.0400803592197887,0.8530438366815483,0.7190660807742792,0.7262167369465069,0.747170915257855,0.7189912545533808,0.6897874908265653,0.6248079581699769,0.6588365138369144,0.6674869830020389,0.7957574409819981,0.9580372100727104,1.3601303010405326,1.1928518979670886,0.7550018288659229,0.6849673093357237,0.6449531058399322,0.6282704933087692,0.6592828417746907,0.6442776483231741,0.6555204186906319,0.7224590892259263,0.7455571920485752,0.7296385602147581,0.8111600526525321,0.9353377582862883,1.1674127254922115,1.1153972921064297,0.9417929023802691,0.8376294732952985,0.7370407105800734,0.7415857372580156,0.7081060021758515,0.6697789566654884,0.7047840518018591,0.6911529601257561,0.7345776780638853,0.7028968992423037,0.6667792139044486,0.7657936257242868,0.7113400823906854,0.7667653128853292,0.865615812842041,0.8313700029756838,0.8609833446549465,0.8773654324672288,1.2227229976771654,1.9155757039500863,1.3021082522933325,1.3750496997702213,1.2194607697039896,1.1809357605374766,1.1335218036145007,0.9604710671750528,1.0108829656890197,0.8904791304964698,0.8702590168966832,0.8418636945233701,0.8373562714053177,0.7713057162880617,0.6909233894332105,0.6928009241494482,0.7201091919497065,0.7159123839447987,0.6726363115388014,0.681553124953448,0.7581248855765027,0.7480407776829883,0.782864575922899,0.8615578583412963,0.9422114048925005,0.9486620426204837,1.1442563798444592,1.2078245765892512,1.086381867085911,1.256737269534635,1.0365954167441773,0.9237002538141316,0.9830293286467853,1.0807391615147128,1.4913434097281433,1.2582760755848912,1.417255891818505,0.9664831261082351,0.9115136888836853,0.9165230414488897,0.9726578205907689,1.0849333785071853,0.9323296262668178,1.0284853660820426,1.234191535231417,1.193721970920771,1.0623881140023128,1.3504270560386769,1.547013632027779,1.2875675078383233,1.3833815038028663,0.9673419392782411,0.9440991372322622,0.8647280343507098,0.8025537875895001,0.7928990005606346,0.8515701007264186,0.8093613553323078,0.770649982992061,0.7639386212014011,0.7179515397194998,0.722015543645142,0.7092550517549617,0.7338709378266403,0.7992392346975568,0.7333948487671954,0.7767644602634798,0.8755868096294516,1.1369692045618123,0.927979429836158,0.9258426085480255,0.8655840034400584,0.8153212591198413,0.763106837016501,0.8055043426368254,0.862190729054304,0.7918602484048963,0.8147866940537529,0.8850599060966632,0.893430276164363,0.840598449800929,1.0192717447527233,1.195498015747958,0.9761456812994435,1.1301892696902376,1.27403859301898,1.4093240757697696,1.2020106396671717,1.024685091224714,1.5650778662628677,1.2111791375504923,1.1668431084129463,0.9911860108465927,0.8606098264398174,0.8413641724002718,0.9037705128975125,0.7977558117873061,0.9172481152080187,1.0065097377744368,0.8847689061311175,0.7704549770393239,0.7558372709647527,0.6731074311603082,0.7180940101144064,0.7351168919204354,0.6752860212761874,0.8000351760569365,0.7658461556536336,0.6508372015518897,0.679393481019432,0.9844956352902278,0.6364984427499797,0.9196310197843238,0.748294147441499,1.568906087507786,1.585321847913865,2.237411930720789],[0.9604182200192183,0.8826073997312106,0.8182082885180959,0.8856211240620437,0.9808069025754526,1.0271213511651947,0.9338844720000085,0.94331222276289,0.9477767144842463,0.9265312674661801,0.9557492370088027,0.9982325095434486,0.9028310630900535,0.9287655644666335,0.9687090014076651,0.8975979998351759,0.8990085750464823,0.9149644706137642,0.9586627393535141,0.9070923382473738,0.9575277843323596,0.9860940734561672,1.1295551607180967,1.2048007328956518,1.0320769055794006,0.9370488043478762,0.8971769938949281,0.8782440690942501,0.8948839167745611,0.8686087732250488,0.948584809071678,0.8874356127885166,0.9510940097066545,0.9502691236544125,0.8752386379056281,0.8771027377592943,0.863165320075867,0.8569511296770527,0.8533116230368343,0.874746828949105,1.0226998345038278,0.9435262651256936,0.9792664089302554,1.089881775932678,1.5897581251342503,1.9467433352004075,2.220013546501446,1.4654874686035928,1.8722864989856363,2.6002757089678816,1.521035517610307,1.785000504181532,1.1756396362788195,1.172750023294607,1.3756782211411969,1.084623763320586,1.0498833078800407,1.0640348363100913,0.9796915406711267,1.5409538327162327,1.1181990184460946,1.030862977725663,0.9295383311840013,1.1901738547809135,1.1192016311625879,0.9182582386225205,1.0332011724823014,0.9840704593837012,1.0747283859393508,1.1112493361275262,1.1545119934752242,1.3568038222462384,1.1539046122874337,1.3342016412693192,1.0685643204004818,1.3607343169337673,1.0012119398283712,0.9762539577887422,0.9399160957408342,0.929550863215271,0.8722665894664963,0.8628468835231959,1.0493417085739587,0.9305698052175171,0.8785261385121624,0.83511636543959,0.8439636946399751,0.9070311758533461,0.8695495275180976,0.9198904874187401,1.0172883347928423,1.1692113189126307,1.1190877806515935,1.021480651661408,0.9799845085216294,1.0654130930958639,1.1052956671556993,0.9841978352223143,0.9638408899124274,1.0739221860546977,0.8744247606920362,0.9143964384874151,0.7985989308384175,0.8338929625017165,0.8298152447017896,0.8403484769495827,0.8525420325760297,0.860421486545607,0.8666189107382885,0.948952293389038,0.895448105747709,0.8266192812958294,0.8542143860607909,0.7912215674876716,0.8614651026159752,0.8392548124260952,0.846474591672622,0.9139958365395687,1.0504981378635365,0.9278480835916518,0.9700536521308176,0.9294417034900491,0.9023115595555149,0.8498370156575027,0.8469603325292414,0.7755980798590679,0.905599479683234,0.8428275310985024,0.801075309913773,0.8214734769777313,0.8214587361517153,0.8171649936988089,0.8608281624820133,0.8341260730605284,0.8401033095294949,0.8611645071267257,0.9389659202726387,0.8245379897515411,0.7860949213630485,0.7918312285970535,0.9131313155239881,1.1234073470727972,0.9628346958114037,0.8482189894532436,0.8673742667175053,0.8929642763633117,0.8681045740525959,0.8654873882418403,0.8131011407670385,0.8715533078072253,0.8829053166132467,1.0374527168167191,1.1614323145215133,1.6245899382103304,1.4458544778889768,0.9950076881761826,0.9159475187245989,0.8666541658664978,0.8262801035278654,0.8350251188023647,0.7873809129578716,0.8218543626735361,0.8380792540616787,0.8471370204049992,0.7972088835426809,0.8574565808262048,0.960357553377998,1.175824639478473,1.1132779814787714,0.9628667454684174,0.8797785263583928,0.8127037707084729,0.8217462159711211,0.8101046649671855,0.797449095021723,0.8421238317527874,0.8598730227786832,0.8761808921530772,0.8406053973900168,0.7910784322036568,0.8593412015936525,0.8205431036524099,0.8256190626379873,0.9012404392108533,0.8785446339932858,0.9166652235243996,0.9596226990908902,1.1772294430639105,1.9615857062937858,1.3065501433289832,1.4010577224537626,1.2487101642069012,1.1743764283423537,1.116225402416184,0.9653240192356374,1.0418187796885903,0.9522228035341919,0.9323979333476997,0.9430597579005787,0.9711854403460652,0.9213378971261523,0.8825015695663679,0.8792919370319571,0.8999678503424301,0.9139579678986348,0.9090720117878867,0.8871891926677848,0.9539057514843008,0.9778858093667507,1.0104437726778235,1.0683057536605773,1.1403534336109877,1.1544060108160057,1.3312481566374947,1.3630798840419038,1.2179125990143316,1.4143538618299187,1.1695834313864029,1.0913266769277337,1.142936553996019,1.2001177145269821,1.5424476902779127,1.4032977548728183,1.5948604258110888,1.140683875703828,1.047592294737825,1.0530626254538622,1.0702063112680713,1.1595774696921084,1.0329064970318318,1.1381425061840333,1.2636858143051801,1.236658399799485,1.1288665238377942,1.362704685927462,1.529241832863574,1.3122080921196693,1.4080219195447823,1.05427403400926,1.036476948098245,0.9704186603009797,0.9654890036875291,0.9582163049333483,1.032729244803965,0.9935551757929255,0.9725649496685578,0.9701026294381443,0.9489361171767168,0.9505651705762331,0.9405794181794549,0.9811332555651348,1.0398818823641336,0.9869118262459814,1.0137711780715184,1.102329279419028,1.3371924296760485,1.1281647695343662,1.1223854703994476,1.0588922645392274,1.0273170993409175,0.9792779896878271,0.9716854266256656,1.0463159599817853,0.9747260496908364,0.9735523880435739,1.040555990538063,1.0641370095762126,0.9856799751313217,1.1276553087831684,1.3344468621566543,1.1112818751831683,1.1936843879265937,1.3126265606763388,1.4419349794724057,1.2729350944707236,1.149070156960931,1.6247331261776052,1.3173052881490022,1.2968545741657853,1.131338896670552,1.033230428926295,1.0330121052162735,1.068073692429398,1.0031834989453063,1.0810315441885316,1.177420917392191,1.039587125510819,0.9516033367385714,0.9028650133784492,0.848362547603827,0.9189334641578571,0.9375259672337938,0.9238307193958423,1.0040191137835588,0.9705453970239075,0.9089658313356208,0.9400166488007256,1.1148268547154019,0.8950399465866814,1.133899908208298,0.9437915116418248,1.7763686805668177,1.7893228073675074,2.3981630169792325],[0.8145211171582053,0.7474729104209618,0.7213386776584576,0.7351919431879187,0.8449090101186139,0.894888318322993,0.8284229890090171,0.8576047447831358,0.9308425309737416,0.9630602899733425,1.0034466004574654,1.0169374966770244,0.9870862930448334,1.0246124563984293,1.113869470278084,1.043332345418598,1.0594119002598237,1.1093474442509927,1.2309849114444777,1.173409720192331,1.274550388649857,1.344820340374562,1.476470950751637,1.536694790958793,1.3334000595020794,1.2405105428953254,1.1654303863402147,1.1067910060851436,1.0895064928149496,1.0180253252496183,1.109739611789441,1.0164435172063941,1.0572015900414902,1.1087633856053523,1.0475942643598306,1.0743723593535666,1.0294508737544434,1.1036451281590307,1.0674212642685874,1.0919008879132412,1.2471416929217496,1.2262613092430301,1.2508332986517308,1.3453320496015,1.725044483212137,1.949641577513599,2.276419977878223,1.5987127129300445,1.988798716518003,2.5648630376446064,1.675464224328556,1.8726538187391522,1.3853628772837172,1.3723405828614126,1.5183869364605178,1.3846094106522602,1.3012741995680734,1.258374913600557,1.253973139899723,1.775194164097556,1.4153744859943058,1.326178999345744,1.2371483010320152,1.4728717223174237,1.437543544927001,1.2288375870224169,1.3159931506746942,1.2363753253090946,1.3014640580950216,1.3254515552943495,1.351977813947689,1.5054330578658521,1.3536197415119198,1.5649038103839048,1.2894002162855618,1.6204744242171887,1.2511181760301746,1.2309565021058277,1.1988794375338516,1.206738019276591,1.089662791299769,1.102946454274307,1.1957041196679103,1.1079617456491482,1.085905497108162,1.012949078559133,1.0891351158351186,1.1070819130762424,1.114283774263537,1.1311023825570528,1.1997972681119442,1.3749277935761863,1.3014223813341501,1.1715173208978424,1.121906738881573,1.2093648691921433,1.2449284775932203,1.1024804027572697,1.038637044694973,1.0541981969379401,0.948652221433063,0.9002632910956587,0.8802210539447572,0.8366545539077012,0.8832190371692692,0.889386368573434,0.8691455422903924,0.8981799411549302,0.8254381300219774,0.8639482670327345,0.823925859099744,0.831815532387549,0.8249758217636204,0.8428815907362184,0.9403946675907339,0.9799547149861856,1.0402784612869045,1.1203131739442278,1.314785723671125,1.141697152300144,1.1672797029302553,1.0642448418578965,1.017721468937818,0.9111005127988758,0.8530587889281035,0.8290214586694822,0.7912502604400865,0.8311705163888352,0.7842599033353502,0.8239658043851157,0.8325196895724368,0.8484441734797906,0.9303884979211614,0.902495747867552,0.914843128173904,0.8501711543614309,0.9765039241854641,0.89243589092554,0.9132040571381282,0.9588340896750925,1.1325849354491742,1.3576771601394608,1.201322021734191,1.0577220626539114,1.1029011966684514,1.0379160252535504,0.9888814533998989,0.9344280958821916,0.8591264740123715,0.8724897567106157,0.8417370245177946,0.955124394540557,1.0796547752314611,1.5464167595803129,1.3898033393669782,0.9511016119810936,0.908915387060921,0.8587300387559931,0.8882577361169459,0.8822429942883299,0.8794881037879422,0.9521262741424807,0.9801898688448715,1.0330782399630305,0.9909855169329113,1.0473081427256499,1.131522997886208,1.3527714668056325,1.226968149576774,1.0834162892025696,1.0121487037976151,0.9401835499575872,0.9639251079478884,0.9399959911915641,0.9409095179543809,0.9369090769676957,0.960918228120996,0.9606530976300531,0.9856764981098083,0.9157092651403567,0.9561130524762073,0.8823473768875074,0.9456719080941037,1.0447226869300454,1.050296859603297,1.1206818033968922,1.136576466723876,1.3444775904407595,2.1074269680568705,1.580953879669914,1.624242690158519,1.5395731824770342,1.344992737960792,1.2495475486061842,1.0754452095022822,1.08206244110069,0.9294825570264038,0.9141223343096925,0.8691385728031918,0.8873209714247088,0.7863805289465748,0.7553318027079303,0.7753145801089879,0.7703014222500685,0.764078154838914,0.7538384655518346,0.7457566580869512,0.8028318689615902,0.8119941291694407,0.856742187265739,0.936699711874576,1.0092676571540533,1.0218944536890198,1.2051372770154565,1.2667858662954716,1.1113783700419577,1.3189313528594806,1.0787875638158426,0.9776886777397177,1.038722747162025,1.1027967767565703,1.4738074545398772,1.268848197545371,1.4344422833058146,0.995285221841687,0.9051200677123468,0.9110167478411986,0.983137754006101,1.0706393575906294,0.9384571197956506,1.0193707266619354,1.203843748605793,1.1422336114541995,1.0252568658424093,1.3632759163577624,1.4846592941556183,1.2450759215906062,1.4151338701314777,0.9337729096758851,0.9479021002068317,0.8777862999360599,0.8246521532027941,0.8376320826453346,0.8884172760300829,0.8976237895739619,0.8248518521652164,0.833671345191645,0.7853027768657914,0.8074116162170611,0.7763666265832037,0.819853901159851,0.8940473185524518,0.8230968685085018,0.8537035486335929,0.9653041368032378,1.2309051005031846,0.9986054260413325,0.9890725246936353,0.9231071352596626,0.8755545129135405,0.821043578693942,0.8237522401414502,0.9026284316142306,0.8396837447497125,0.8431185327556591,0.9216911994090903,0.9382123521721647,0.8671585762205298,1.0246501221962456,1.2255876455924377,0.9879314200583131,1.100052409246402,1.2401696477264172,1.3793866355044186,1.184222581111257,1.0361283351516297,1.636984756922018,1.256840581766452,1.2111558175004926,1.0422162244235478,0.8990604744836488,0.8895691557569525,0.9655930471093045,0.8509330312511516,0.9378032601369088,1.0349958559269707,0.9174858024422888,0.8283360624350672,0.8153253350965752,0.7625414200598082,0.8012777604493335,0.8502401885182008,0.7941822683343669,0.9013917584212302,0.8799482666409196,0.7495189255741037,0.7988065277708206,1.1040332030116013,0.758721314396678,0.9650094961881418,0.8630151815603399,1.7566668636486142,1.8577169751212266,2.452194169950423],[0.8912146700166208,0.8258662605960134,0.7907142068815707,0.8083940045090985,0.8750430250315357,0.9558523076369405,0.9082612689762468,0.9377538758392068,0.9862808819766153,0.982995578689143,1.0171660575933315,1.0474238147507002,0.9515682750303533,0.9894969418896881,1.0531924653694054,0.9777300302522354,0.9596042890713931,0.9909965339794047,1.0634862443272517,1.0034299856559852,1.0897140078413283,1.1317481839996795,1.2388581897756483,1.3463714583220874,1.1289241673184005,1.050506966017086,0.9876091147984931,0.9582504842867868,0.9616965060879785,0.92892069332218,1.0229275520994658,0.9623967395191956,1.021897742814771,1.031430297263543,0.9601552413099548,0.9598479673360482,0.93480349304806,0.9389659967131145,0.927629026419652,0.9465367985775239,1.120263340072655,1.0322740037977716,1.0754570526401244,1.1568857938653991,1.6155133360082032,1.8719668707018111,2.159066189462004,1.4623369045315018,1.894115304968772,2.4550628670709993,1.4957019909481744,1.7577785926854703,1.182289921813613,1.2262774376304786,1.4364839956867999,1.1487477821915995,1.1191746512625698,1.18483522313886,1.1168498285416941,1.6284320787848086,1.2177452639482644,1.1435303880733028,1.0627238572326567,1.3177877515206322,1.2300109965200292,1.0500228094463866,1.1546862268438232,1.0823421731465979,1.1787765756469297,1.2107360185624674,1.2341640210961298,1.3960190934620076,1.24078289989303,1.4426720823224908,1.1570079779670799,1.4732899862449418,1.0932795544342102,1.0689187909715165,1.0315013879043926,1.041086568266992,0.9538723242494952,0.9494222367294779,1.0720752239790008,0.9630437661528676,0.9415334937990203,0.8948300803312341,0.9400353552042736,0.99129993260196,0.9594489957919757,0.997052644366221,1.085983426889162,1.2634830256306855,1.2029077403652686,1.1032407500527996,1.0670716909123767,1.140714885923968,1.215981387294619,1.07415072697378,1.0279296337185737,1.1034171662863836,0.9187740098051355,0.9453139031970614,0.8436674582033201,0.8511526140878092,0.8125784569766669,0.8196407595244042,0.8215979223436697,0.8298753566319895,0.8105213520432573,0.9136533299588199,0.8614851065327632,0.824761806866381,0.8622091250232964,0.8265429259846908,0.8989751075282606,0.9115558164659463,0.9208170052745842,0.9794512086584012,1.1464342595059442,1.0153821530350413,1.0481719384239168,0.995939255158182,0.9538839955538497,0.8913902496088986,0.878929375497335,0.803341107387284,0.8285890569460879,0.8334860821107309,0.7758177594315456,0.7782491721357376,0.7644050985391857,0.7639564680557671,0.815235934350627,0.8010392439234821,0.8038161949367534,0.7972841842225519,0.8971779301212474,0.8046186211678871,0.7945594491821447,0.8243888920932496,0.9791768357609505,1.2093248335284352,1.04503026664814,0.9111410005820922,0.9501464341372489,0.9251543704308783,0.8889187999855166,0.8936356713055564,0.8455070333988608,0.8947194865331026,0.8828633919066771,1.035585574627227,1.1550389769353804,1.6802947374366533,1.4809185526471964,1.0087159835183177,0.9288103847730326,0.8911441150053286,0.8749399756656984,0.8577307445747276,0.7975723112399776,0.8544538699763563,0.8615780363087242,0.8885645233588731,0.8543110551960041,0.9005246340670683,0.9637266898143827,1.1881347733186696,1.1051562727833226,0.9636786464998273,0.8804233874755726,0.8138293578146046,0.8331346551020918,0.8268197166394942,0.8341045576176515,0.8580280903345419,0.9047471854740373,0.8965819333859123,0.8834223456918339,0.8206931968509579,0.8722676546628183,0.7959266639506023,0.8210368162679187,0.8818043489726042,0.8813358199794298,0.9527654391951768,1.0173430766044353,1.1986823942304254,2.0600499211068164,1.3934366820033175,1.4487661821007256,1.396122142619278,1.1770580749005515,1.0766867390448593,0.902341755862568,0.9344428406864441,0.8654373602122799,0.8444334762864484,0.8299360551262053,0.8960510967339953,0.8091609051480027,0.7985704851616272,0.8060944977795973,0.7872777712089435,0.806093807841326,0.8220368400379796,0.7812759572060036,0.8417902017803082,0.8740107832100911,0.915840887623336,0.9632549626111908,1.0285052170218756,1.0812420565098682,1.2274495898908822,1.2687148929467496,1.098116867072887,1.3232046907862505,1.059968867608693,0.976870756332542,1.0242649382572093,1.0716822701988284,1.3980834082858757,1.2655567487179442,1.48331851300957,0.9760822156078942,0.8843863411261212,0.9102976056068641,0.962189119220158,1.0144588032344348,0.8970929665242986,1.0371855676783326,1.14079583036755,1.107991671895959,1.0018653242792654,1.2996182213263099,1.3806474700869518,1.1776531840656188,1.3671027714147637,0.9248909004226274,0.9346149150142472,0.8726435603356686,0.8609359158263918,0.8847230126227742,0.9336922878009487,0.9645240224903852,0.8887595711598973,0.8706564145490021,0.8829708527769202,0.8752261650231903,0.8577468825998433,0.9271391150342151,1.0055499646607893,0.9174989920718428,0.9432989910534816,1.063856394302222,1.311450914370229,1.0614164467257852,1.0414970536049741,0.9675630270514778,0.910216927211712,0.8467894548198336,0.8383168744212692,0.895795018316061,0.8565152155664705,0.8447545014132397,0.8821172625731247,0.9185712928506619,0.8451003987197926,0.9645777430629534,1.1831734900416484,0.9799895197551669,1.0604054302797281,1.1695609871033843,1.3304524791605004,1.1617734572117573,1.0511811428077296,1.5606779758282827,1.2791213966768324,1.2037304927546995,1.050258133606399,0.9310590774231661,0.9202356872654974,0.9918174179418264,0.902110420107305,0.9893261183449366,1.0773607019113876,0.9402901590275754,0.8602061544602561,0.8179465258512061,0.785356296748341,0.8394946426265115,0.9074423791866038,0.877405976505347,1.0140814831248148,0.9577856136533202,0.8366357090990699,0.9035582903247779,1.169782462642688,0.8448225969309987,1.007204593819776,0.9572811532910691,1.85057894393888,1.9435450870839737,2.495807404514349],[0.7422997777773785,0.6825626528921387,0.6470462290329616,0.6766162186525901,0.7991001859242227,0.8449578801316145,0.7563838758497404,0.7685174486383494,0.7837328731578667,0.7723089108295237,0.7975726056072622,0.8337549525724178,0.7629078249430118,0.7804464010042869,0.8324851753561033,0.7643190737236192,0.7886078710830433,0.8097824574683133,0.8752424682482328,0.8372048854514089,0.9020461098670948,0.9512582371824093,1.0897225878855799,1.1829959723241201,1.0136876329156228,0.8944272323439313,0.8525964143963254,0.8010776923972103,0.7979077370452037,0.7520016269547066,0.8209153252977183,0.7580111877037551,0.8162436577509609,0.8286246889576995,0.7716869740174648,0.7861764848815056,0.7640276999567589,0.7850512517792954,0.7939242563063599,0.8356001006482833,1.0097616930079234,0.8988862322710572,0.94058500285936,1.0696909435619706,1.5539734177049789,1.933707558090178,2.1799690203650868,1.4278334774317747,1.930062317796674,2.631364306025846,1.5092469312000447,1.7607420546666979,1.1105516953970993,1.1164611993515174,1.3513377751437716,1.0243253279565268,1.0116405884262187,1.037506362430111,0.9496724356254864,1.5309417702764077,1.0868293073876687,0.9842843680823136,0.8852340144693426,1.1482879750041795,1.0748785265497711,0.8748307496289786,0.9757235477709673,0.8913012035130106,0.9755921873835348,1.0018188964681738,1.0540933220909894,1.2591731771190844,1.042834222259023,1.2305027735324463,0.96069432226733,1.2798912380899365,0.9152113093876323,0.8789163337921417,0.8624171363461933,0.8728148659997771,0.7930291624124276,0.8068996619183296,0.988673239910968,0.8741927382048579,0.8310990867112763,0.7620773625645788,0.7868772523041736,0.8315231739041739,0.7942660617600812,0.8214475764794666,0.9091458153015094,1.0672343730942166,1.0037896254668843,0.8823748201965406,0.8393922327645783,0.9275525295405732,0.9780495871322736,0.8491939838792179,0.8176989831898892,0.9118241043477803,0.735064281184704,0.786801551887258,0.683185919665285,0.7149477090760632,0.7312625198648782,0.7315251160538786,0.749395686110021,0.7877483632095649,0.7459046960866788,0.823553302231901,0.7557544078898085,0.705679732287037,0.7126447493095657,0.6800239388716112,0.7426828748714778,0.7554196300323547,0.7595617347395298,0.8451637365540327,0.9817044953972369,0.8233238344616929,0.8645555915044594,0.8008323529179293,0.7879737544531679,0.71978045841065,0.7044882015311751,0.6706070104649364,0.7268986866336312,0.7420280194470209,0.6966167426364176,0.7260161438555354,0.7324225725146293,0.7367264013893312,0.8067062049888372,0.7649365036736122,0.7844203620962882,0.7633447982311897,0.8815213629433655,0.7645323026142868,0.7325886357376992,0.7463075269658107,0.9000344050213582,1.0978615693507154,0.9170423209787817,0.7913747650508511,0.812869119050557,0.8018967470070263,0.7737224983987386,0.7511880725741759,0.6981842499198995,0.7330282751170636,0.7318489715305054,0.8719802514347624,1.0139266797439739,1.488096891165025,1.2985862894212625,0.8268535113974745,0.7521138000911948,0.7228214812588898,0.6935230739736473,0.7278101082001274,0.7043314792965678,0.7337945066189251,0.7789992073265616,0.8021295940865405,0.7840642823762893,0.8606569270621713,0.9627439033422539,1.197926602384379,1.1266690068450866,0.9767372318540439,0.8695910547896442,0.7745312628003256,0.7781155534226617,0.7507123082624748,0.7355430989941911,0.7632500813086317,0.7767876166374941,0.791418367754577,0.7874008325270402,0.7183552965854942,0.8211444009166391,0.735989493546031,0.7801867497780474,0.8609622427511641,0.8549313618008558,0.8922164241432293,0.9364747056100359,1.1578953987048421,1.9768195777265367,1.3361964465264553,1.3967392464190644,1.2937858175442767,1.1777305944015763,1.0975378820313424,0.9229056892997148,0.9548324428526824,0.8651180651556315,0.8394381229422939,0.8157214084017808,0.8476415593440686,0.7628324844777618,0.716881607670773,0.7255011199325314,0.7306860084744156,0.7348493712386917,0.7205638412574301,0.706540719360129,0.7623738778175546,0.7699354222015454,0.8099526958006247,0.8766092066520575,0.9380629768205427,0.9652820729806438,1.148225416173887,1.1966995282308317,1.0446749749445945,1.2352817542017798,1.009896204627694,0.9151267081794443,0.9530113635202334,1.0220720681675923,1.3714339726152447,1.222522595969546,1.4556078732453386,0.9455765882955037,0.8555944303740857,0.8668755495940907,0.9379632628956793,1.011283210195942,0.8799135756841173,1.0115373521091697,1.1515597010642102,1.119198974799358,1.0019810797435442,1.3061193308711465,1.4205429851775433,1.2041458059856314,1.371722635065394,0.920235457578198,0.9159260496923328,0.8444814589007359,0.808769063512259,0.8196316948024225,0.8623800783375639,0.8615802295116293,0.807871277512801,0.7869198574755392,0.7637209964888363,0.7630405027071294,0.7437571284321506,0.7818350038726982,0.8538663433407906,0.780747161096356,0.8093486571595079,0.9156789162772074,1.188929522057766,0.9406035209447321,0.9218946296384324,0.8572386991974659,0.8133488493165967,0.7643080955072411,0.7771964790575926,0.8240593731316211,0.7810607924989788,0.7940068320503597,0.8448504755809861,0.8721042155704591,0.8152207735262063,0.9517268257600576,1.1577871305234464,0.9503959317978962,1.0681648600780562,1.1720173656886401,1.330315322167343,1.1540689666167923,1.0245254559313755,1.5625638848684642,1.2828426337236085,1.1636531246273554,1.0058760957834427,0.8684853567567546,0.8530577854946229,0.9441627718392879,0.8306416338142016,0.945291085828862,1.0613134420509984,0.9109882655121463,0.799782475367604,0.7656576645436747,0.7043942807443606,0.7504645914374685,0.7954287225306337,0.7463128454239564,0.8718376117819345,0.8215227960607594,0.698120808732314,0.7317524923368823,1.0237000005004027,0.6877425091489947,0.9141161230109928,0.8198662902298987,1.7516218029277395,1.8211100458094558,2.4258786140624005],[0.7352831405606796,0.6898824581156633,0.6524053141291024,0.6431666253705391,0.7342181201652891,0.7739937624086899,0.674436487343726,0.686359522277013,0.7233888083888307,0.7291121003901196,0.7604252294820683,0.7795111309547617,0.7332992954854454,0.761375575632682,0.8377143850885556,0.7516266594442819,0.7636284705939679,0.8034359300467373,0.9076878949617648,0.8528906366647029,0.9811754052306764,1.040025564600716,1.192089657160673,1.2992280457102459,1.098761275802615,0.9605072804412648,0.8712028388153468,0.7887764056996325,0.7749152876279424,0.7211907033146774,0.8151787356957363,0.7304475536817896,0.7801134601362253,0.8040824966066218,0.7434550255888296,0.7696091953144636,0.7390482990901652,0.796764569509805,0.7797195633116774,0.8518214172960223,1.0486429123878882,0.9534025083957127,1.028147236447848,1.1587110809018466,1.5805704087362615,1.8936937987401803,2.236062375561502,1.5093291015186527,1.917416142014285,2.615710370318079,1.6017993117205345,1.8150717757824375,1.1980611852424117,1.1242323554237805,1.2831885890236912,1.1668784041682512,1.1141849431780289,1.063407618880728,1.0444090679143188,1.6710348920512088,1.179672976507048,1.0902140432270517,0.9662693228129275,1.2428825147361031,1.174931329694031,0.9421406899838366,1.0508030442596308,0.9193015567532914,0.9863262647249789,1.0283456516872158,1.07135880546831,1.2810898560268429,1.0548967904615028,1.2554512295200912,0.9834753289062438,1.3554690865431671,0.9485426191853905,0.9217852518780228,0.9052373665512333,0.9290730179211703,0.7796117498304725,0.8028960731607258,0.94383871803887,0.9376899926977232,0.867436958519497,0.7298570044241587,0.7847306408214049,0.8073265679666622,0.8065350693415287,0.8207592708360969,0.9011342755186078,1.1026523063456124,1.0246752807316273,0.8796624262076873,0.8259427169699235,0.9199372877132169,0.9766161865630927,0.8229413848230761,0.7889653906480987,0.8204787916748856,0.6916662630271998,0.6946193644671458,0.6482852174786929,0.6528184454888196,0.6685914354171644,0.6927915426030725,0.7016238836935493,0.7628030590133356,0.6905896608825923,0.7282768879385814,0.6550508860696892,0.6317046954217707,0.6426025520509199,0.6191988748319938,0.7022763151683763,0.7351123570200985,0.7326857209532129,0.8084385884137915,1.0014563004601325,0.8263447524382488,0.8780619293066282,0.7967556394436068,0.7634482217479057,0.6801023664520033,0.6475136088303554,0.6208376111138564,0.6350833783065143,0.6561075462046525,0.6169588862722283,0.6547165963150189,0.6894759999121087,0.7151937978204425,0.7921627819655523,0.7422246925076589,0.7514844344341692,0.6999223262250414,0.8257643360011329,0.7062400445969612,0.6596017323732534,0.6842893582788057,0.8459632723538354,1.100533313891117,0.9153388711054887,0.7614402393587765,0.8013613456794625,0.7647144289022947,0.7330116792899406,0.6998846238797212,0.6346005562160622,0.6703209809961848,0.643299650036177,0.7802524575388993,0.9265574102138504,1.394972526545761,1.2201918519689607,0.7462583563370598,0.6887282146730738,0.636488086257602,0.6583417334896551,0.6752134323469334,0.6520935049896677,0.6813499238374632,0.7263475263350098,0.7859008186759455,0.798688530786455,0.8431598148059607,0.9593663586590079,1.2032511172904476,1.10455177161237,0.9178451123247748,0.8341455435470538,0.7291478560903072,0.7455356830586316,0.7226825602025287,0.7069449611300235,0.7019056137085851,0.7115997415513341,0.7169831336587035,0.7765884565621678,0.6827056500831086,0.779757413024671,0.6972741931391627,0.7881216900295507,0.88904465428716,0.8778628155404428,0.9669250422198633,0.9657533964757323,1.2352553129864803,2.0672069709575243,1.4863993751604165,1.531717520080649,1.436270542496055,1.2599412075323386,1.142224704978368,0.9614427039619265,0.9980862210706287,0.8559759192479187,0.8289887526383475,0.7933644838397764,0.8067942787956075,0.7179875705503019,0.6584850031309213,0.6655508147553181,0.6760416025861141,0.6868985014207826,0.6755258233332393,0.6819226787097158,0.7398162882673851,0.7344069230307404,0.7910016304714451,0.8795326368605602,0.9328833612994636,0.9464578547354876,1.145325468943558,1.212783124589145,1.0682721711463339,1.2179584967969566,1.0177341712600192,0.8997195434309543,0.9290334103683017,0.983896284315282,1.3906969244720906,1.1808060392591808,1.4177780749735667,0.905845790440021,0.8095697588090311,0.813609018279225,0.9250042768007828,0.9887987809334288,0.8523575670268494,0.9778200868626544,1.1965727069719598,1.1129389363379165,0.9674650025965972,1.314049738261698,1.403588978101034,1.1840005401185603,1.3195278660666991,0.8804449622994838,0.8990860463206235,0.8294587424769341,0.7828760350908989,0.8088334393424664,0.7916584685453951,0.7871428468429852,0.7312129735778884,0.7394020452835703,0.6846407985630885,0.6788505024189329,0.6721676483262425,0.7108851452206414,0.7847166548078631,0.7381850152357287,0.7650918839064825,0.8711419656700978,1.1559855496619305,0.9063898741761105,0.8769922166617172,0.8186672471930079,0.7668088879310583,0.7233450279876568,0.765676024820627,0.7884791322536582,0.7472607656753043,0.763501562404226,0.8211137975683038,0.8478529907267737,0.783042433562386,0.9232137260899913,1.1384644704401752,0.9037111444522384,1.014648762850591,1.1667356788663605,1.294817938689297,1.1241975712076933,0.9786741811465465,1.6107760017595778,1.287494839486113,1.1526765239526011,1.0425327594691474,0.8782325962205877,0.894927265791133,1.0432245920295924,0.7992641922654299,0.8621975196982318,0.8974338643186297,0.8083767784934602,0.7272127699937659,0.7110126811091203,0.6123185017938084,0.673381708748123,0.7124091862816804,0.6652438313464388,0.8426524686024565,0.7351171086065502,0.6527150827037306,0.6669898029330702,0.9773993076831335,0.6511753983910795,0.885149382720992,0.8378428549658703,1.8123756002163967,1.9383780308716254,2.5991892831024392],[0.6913733011484142,0.6249081082748162,0.6133520167517087,0.6063350107405819,0.6664933743710972,0.7788494319733271,0.7575116097209332,0.787219806243084,0.8622940260502601,0.8808583412869886,0.9296166192572954,0.9453528511325653,0.8870821445272422,0.9242641063186434,0.9882289880335341,0.9135168705366022,0.9061045941201976,0.9580248351298618,1.0265252433071321,0.9884659845053543,1.0990817482331388,1.1562445641662247,1.2761170956270895,1.4134120726885278,1.1937723206542847,1.0748868044293576,1.0107874658675868,0.9311413586980529,0.915245026327137,0.8737235351609667,0.9687341050081638,0.8828005159808987,0.9501901407223587,0.963259291210003,0.9274051128258374,0.9402311607539013,0.9059579181030534,0.9223545281430279,0.9353224762302446,1.0111826478600414,1.1805833250632505,1.0850629240347172,1.1625310117142929,1.2433205978730881,1.654947967857592,1.88974786628299,2.1995050577820487,1.5327609568288534,1.9164605103092145,2.4565626020551403,1.5617595090614012,1.8428974559722884,1.2773064569423704,1.2388280078553457,1.3522237389463037,1.2601380806128248,1.2054783124667046,1.19609846486929,1.1767786409049248,1.7651191313499162,1.308257045778335,1.2185900188510186,1.1117198634388687,1.3592543385513536,1.2781081348356258,1.0834876500794874,1.1814848975396581,1.0546147896762685,1.1138044934233726,1.1523108854127195,1.217382231914186,1.4072489639975214,1.1897864696390248,1.3666511779363857,1.116788576650576,1.4468554636996154,1.0864443132900254,1.0631885212725591,1.0550805317796332,1.0668578720309847,0.9397209900177872,0.9719985791086713,1.0446708869524077,1.0719328224418918,1.0099213388884412,0.8837049097350305,0.9422050717683486,0.9775745647243566,0.9543092393512785,0.9827796692288087,1.042478794803155,1.2277531904504215,1.1631752610868844,1.0351744513055294,0.9881396811212433,1.088836485896047,1.1502395802703296,0.9801892274051519,0.9461228319042329,0.9562284761316944,0.8344114907376282,0.8289010947989757,0.7843324122078111,0.752565621769312,0.7507702722979332,0.7602826952049765,0.7507676863557353,0.7855117382233517,0.7203265621767768,0.7954237907969915,0.7229975370156467,0.7319424240078064,0.7467753510026053,0.7371206012098288,0.8299124157402304,0.8582164575788531,0.8657183522017141,0.9390580995829891,1.1231009706256732,0.9739634831678942,1.0073827807172506,0.9388582428413973,0.8963904414245949,0.8242719178080995,0.7878314167400833,0.7239971183573872,0.6698063786746206,0.7282713452359753,0.666179150550627,0.7186258248616527,0.7031406526724219,0.7329299775387406,0.8225286851782222,0.7891578545190615,0.796639298034735,0.7565163355123637,0.8625110182864971,0.7605693075080325,0.7587536076361395,0.8243234729236838,0.9842102841105713,1.2337171811933683,1.0548168659136525,0.9019745074860862,0.9598650176721567,0.9088694324122099,0.8624753629440858,0.8132100496330973,0.7556310608785245,0.7868365736238021,0.7402307531280327,0.8814313117860181,0.9926719752672001,1.4740575076810234,1.3151805785098787,0.8624056520993767,0.8290966784763623,0.7684766831034163,0.796894384042443,0.7687571809719176,0.7789378870466873,0.8269345051937602,0.8547371361060058,0.9180579996544023,0.9354548148761778,0.9467767138344172,1.0249230563582878,1.2622495693277467,1.1460846976758783,0.9738029653298189,0.8853440248872282,0.8125835809640298,0.8443107737847546,0.8378310995263578,0.8306246169087875,0.8163115047614331,0.8529492887352181,0.8520419898743143,0.8968411337845095,0.8187334958934204,0.920043351023868,0.7790417298872333,0.8606453002705793,0.9448224151872647,0.9393055129909799,1.054724928283359,1.0815067951446435,1.2857727954699383,2.1399262519933533,1.5463648765773386,1.5988831852728091,1.5335617251016462,1.3048498991313262,1.1704730519579782,0.9819737788552901,0.9842097581191983,0.8493642424069642,0.7939872315999629,0.7310788803155355,0.7742531420488946,0.657208597273025,0.6281313559582071,0.6452757654459081,0.6069184115857218,0.6135613768595876,0.6266728198475674,0.5998117059480246,0.6501844065695607,0.6670723247679843,0.7384365019504359,0.80414290729383,0.8560449830713897,0.904098008295422,1.0758131548263457,1.1327818607028763,0.986127920885245,1.1453037681080345,0.9217852352695934,0.8010793321326072,0.8404594167787318,0.8804192233066741,1.27707235576993,1.074211852942123,1.319668169932488,0.7704344848175204,0.7038131460042566,0.7401709104087857,0.8504152602551174,0.8926712056770498,0.7653413678849315,0.9006154420279074,1.0727988128213888,0.990031361605706,0.8732942829807271,1.2859712596425021,1.3126645064731628,1.0903475380184955,1.302744978090216,0.7959667342778924,0.8657391315273765,0.7699673000172842,0.7297651904384447,0.7668183712182886,0.7553030621578145,0.7885085087382253,0.7076062406043206,0.6945942568374417,0.6884545576045091,0.6861611426122339,0.6481376427343596,0.7084199502590371,0.8264808732178083,0.7114294927760937,0.7157983028813576,0.8622637153358778,1.1426814964730037,0.8617788103395412,0.8179973333749365,0.7435361199720917,0.6782185493680293,0.6388477062572869,0.6511803740918226,0.669574295608084,0.6455209772576315,0.6591478688393101,0.6924254130747092,0.7258072189014549,0.6776703876590194,0.8171960962911549,1.030120927127194,0.8131202365705721,0.930946427783029,1.0731491348078166,1.2211127192456088,1.0495519174619468,0.9153261145633838,1.5794953902967495,1.272665456964159,1.0801108863139723,0.9575520519660387,0.7925422941849989,0.803094844839249,0.9598963468257903,0.7442943127583147,0.8131146335725922,0.887374893828063,0.7786287501566785,0.6757354066040603,0.6622502649598065,0.5984598706614651,0.642159019720313,0.7352887080819652,0.6703443744205082,0.9233030763894499,0.778338789591797,0.6284988707154475,0.6979155779574179,1.0857303926451063,0.6518952913081828,0.8041284088812173,0.9439558924361423,1.8784904143078411,2.082068589991396,2.686688444288221],[0.5943965017041453,0.5554906870431873,0.5868022466001162,0.5371602722576304,0.6603250532446551,0.7075570544505378,0.6762700469411225,0.7090288620852524,0.7475674663655631,0.7673213082047715,0.7903380231673144,0.8130007554874156,0.7903485350441114,0.7993726653162467,0.8725541136754587,0.801073973094154,0.8194847795588512,0.8486488817003923,0.9350186074690392,0.8865398010877302,0.9520400373339815,1.0089290238173743,1.1187150434030697,1.2004381972964646,1.0228738073888222,0.9354511024569891,0.9052039981876533,0.8606998620881325,0.8457836501142175,0.7897569990688365,0.8625492197610493,0.7936617384823794,0.8344622308673093,0.8710330824204366,0.819051241983079,0.830419625784253,0.8300891160026594,0.8700939641881497,0.8564403917178951,0.9001062434072125,1.0507414090940594,0.9513056982919657,0.9879946966927593,1.0873054630045529,1.5626509607149706,1.8633904281567002,2.123525995893789,1.403609892038666,1.868843120598765,2.436061823987631,1.4391840678629488,1.7418857607243445,1.1723648141735523,1.1896368652067462,1.3821224104637346,1.0852167404073672,1.0272238764850785,1.092828631987273,1.0118152840094872,1.5204973240159065,1.1216108258944713,1.0204461571031618,0.9341371052505332,1.179702902474392,1.111609059460193,0.9165588552680571,1.0172104693251207,0.938274893894846,1.0013318053544351,1.0538031622959354,1.0649224944160616,1.2368622900723318,1.0570139569175754,1.2779001731032615,0.9882887330103136,1.3360252128265486,0.9657847772663607,0.9375669103272258,0.920102693738344,0.9408220189790938,0.8475845594778673,0.8754063962176011,1.006936059513716,0.9469261378375627,0.9164315799154584,0.8109533724839857,0.8522558621643898,0.8853867523877745,0.8522250782898377,0.8751103577671665,0.9459305713721069,1.1176663238903466,1.0443777709139197,0.9228947795711524,0.8650012811366311,0.9369772937100896,0.9819819982424968,0.8590403941673491,0.8231705876215754,0.8657280123985593,0.7401300406721565,0.7677084589497478,0.7111993881415447,0.7250723040864151,0.7339653821485828,0.7497467795717844,0.7444741333586068,0.7881682836844887,0.7013051612830044,0.7966248882453583,0.7046629033973231,0.7102102304634484,0.6985432144530309,0.6996771549551202,0.7651252364813846,0.8040553910315243,0.8086017294217738,0.8886271587167619,1.0222852018634914,0.8715712556720712,0.90547756938583,0.8437187879785581,0.8275676945924655,0.7459690194668942,0.7041354210962075,0.6977515419837005,0.6598066418576111,0.7220777925818829,0.6699992467564314,0.7088590163019793,0.7057216443008097,0.7257808569572313,0.8008637447365557,0.776498770494747,0.7799125572550754,0.7365317391266512,0.8753875193806432,0.7577292504605351,0.7472566901286405,0.7866245824513539,0.9694047059423753,1.193086935945129,0.999575101156702,0.8543525308630162,0.8933448959181769,0.8457667793841303,0.8047029677168531,0.7687179962584466,0.7147412046204593,0.7360497289878036,0.6931598025311914,0.8143249204992614,0.949363287572738,1.4259427992958218,1.2637847485796625,0.7892564379019225,0.7389402815947329,0.7100880009998606,0.7345963978348465,0.7494943415481806,0.7246386537804057,0.7719227523728827,0.8144013174178379,0.8591866472841814,0.8382857413502506,0.8867551451811667,0.9622403845420157,1.1663987532421851,1.0777442751931463,0.9452208308812934,0.8652418503796504,0.7947364420323054,0.8095867214674636,0.7873289833106903,0.7775269921185504,0.7775016787219063,0.7896961988553676,0.7986670598627799,0.828952854333756,0.751007575819825,0.8379600395295066,0.7511318510257597,0.8121302033760761,0.8894551376977735,0.8828355143402086,0.9427291052862741,0.9985545207614089,1.1903574702881943,2.042957093246917,1.3848725256372105,1.4779084685887949,1.4060580330578742,1.1682260401030427,1.0684439387313969,0.9019741146139186,0.9305242414500228,0.8480694439710954,0.793968994400481,0.7327806823630093,0.7895552439029851,0.6621885353712185,0.6395868614595169,0.653162686743082,0.6240911239465233,0.6311531594384389,0.6450221872167287,0.6138127120057637,0.6622950633425261,0.6800068732702953,0.7472123961716749,0.8153499855073691,0.8635834243451469,0.9059036513899666,1.0733619299773343,1.128446867038487,0.9939406152138247,1.1423083836467343,0.9251920130891299,0.8123611357925244,0.8531324060368953,0.8814978769508445,1.2629563110734445,1.053296179506085,1.3159505727967655,0.7672475709017581,0.7040476791156994,0.764683393079127,0.870037388216308,0.8742449885066979,0.7689546708361787,0.9195599972266554,1.0281842029200534,0.961107633188846,0.8573135375083213,1.232260797995158,1.2379458175396874,1.060417874538694,1.2912538105908522,0.7888994016001385,0.863957990659537,0.7733764567597998,0.743407832009051,0.7905458062416083,0.7932829584174501,0.8268544150401589,0.7345830806419288,0.7015031971556315,0.7007868779443148,0.7040362602207129,0.6650412882755632,0.7181092127953341,0.8134717151647961,0.7072520731921582,0.7211238242721708,0.8608437014603633,1.1272178953197443,0.8643615644979094,0.8273127122260583,0.765258403279027,0.6976359797041398,0.6569743882582821,0.657923901237566,0.694365554576805,0.664538548239582,0.668638478986013,0.6967236001423764,0.7360374327059142,0.6899452540323697,0.8027000008636715,1.0121832885102606,0.8136196772005655,0.9111278734665106,1.0156333273312386,1.189937165995885,1.0315909424512684,0.9241653037301847,1.53957722045204,1.311115461760758,1.0950708147090933,0.9762052171639327,0.8169183276548201,0.8239924470930793,0.9974024149985026,0.7765111779752157,0.8411201130580852,0.9576632630421951,0.8120715411580616,0.692058350310787,0.680049415590816,0.6136608683585312,0.6409329224462403,0.7355373618964202,0.6676816454203005,0.8939543433903215,0.7590149689118636,0.6042404478599364,0.6480886554190062,1.0204851791854683,0.584851049095885,0.7743864576599403,0.8657466319412244,1.8486409170598546,2.0462263217978416,2.6991948028752617],[0.4830769885051284,0.45528144203335125,0.6281637374004276,0.4192848634685909,0.5896047207034396,0.5648874586334296,0.51947756877128,0.5572994934999647,0.5980807286511648,0.6105217256648432,0.6365872578134025,0.6658004487184719,0.6277644793582682,0.6449237337564175,0.7180338208988575,0.6393277262092638,0.6530560724309938,0.6845716388309172,0.7839467951326862,0.745243383772019,0.8809478295540654,0.9010612331805868,1.079896472662339,1.1810403402267156,1.0290964603504982,0.8791509339841691,0.7863280506243061,0.6849061994345815,0.6647068922096181,0.6270686359050239,0.7025576935927751,0.6222715446162524,0.6678400347123864,0.6947772162732683,0.6581732492679153,0.6759344384077085,0.6509327326296759,0.6971674943040171,0.6743334304019482,0.7538803344976092,0.9736115998597733,0.8458440697429572,0.9209808655898386,1.0704020253438613,1.507321235207482,1.9097494819616445,2.2032237364989764,1.462966149528405,1.924818419798407,2.6522783264803285,1.5804710054475253,1.7768999783642798,1.1323398063057748,1.061810430221694,1.251926087890742,1.0471847887750918,1.0110897448952334,0.9830008733416877,0.9411149960578954,1.555316778357063,1.0517020068291585,0.973255497110673,0.8482349981503968,1.1187008364366906,1.0507891033251984,0.8201974990582434,0.9349815845589935,0.789446736758857,0.8335140058697089,0.9265116633243938,0.9583353547627977,1.1713244781030743,0.9343782146187197,1.067795090642379,0.8663447489678197,1.2404771963632084,0.8090478586575811,0.7800710402028087,0.7789345428761147,0.819098362571003,0.6668600144486889,0.7054496971613264,0.8919613463560168,0.862390478213596,0.7851298580662258,0.6405827193348441,0.6695480411506275,0.717649409439373,0.7000294385512897,0.7079124465215588,0.7714331023115623,0.9855222463438581,0.9091139658296936,0.7445934120732118,0.6875819146986699,0.7736962946250177,0.8353308493566909,0.6983357750701635,0.6592859720468138,0.6673852489462152,0.5811673993426496,0.611095953254511,0.5867990933914461,0.5765465204899612,0.5914482168348117,0.6048827031975992,0.6422894405461625,0.7319214741453587,0.6178307721640824,0.6481534886067302,0.553574214174804,0.5505857282017669,0.5314283521164916,0.5202118066733286,0.5984139193922965,0.6460023143729062,0.6371159724090396,0.709492803058408,0.8718838897855131,0.7101747068841411,0.764455546447541,0.7044093501917417,0.6692055667114667,0.5755446217632916,0.5362851938030329,0.5140789964249997,0.5137436323844572,0.5750713312990072,0.5508871517105548,0.5941526825079584,0.6240154113432765,0.6615655965053745,0.7471762646000076,0.6874412448268032,0.6988178170413089,0.6452438876145156,0.7827439989320073,0.6310917097090685,0.577746448413266,0.6113350769302109,0.7656148059656654,0.9965520274427483,0.7849783662888835,0.6538843651248056,0.6812367505718282,0.6552043110534045,0.6353614798724193,0.6046816514995297,0.5472683433418646,0.5667728040372303,0.535026391163087,0.6490173284138848,0.8005887997130355,1.2291019262457838,1.0630656415176385,0.6172562998688097,0.575810964143461,0.5314460869571175,0.5748956391765052,0.5978685795330184,0.5871249196269698,0.5944592388598825,0.6478620314786,0.7049071149401881,0.7237381908516325,0.7822138465700269,0.9039788270041269,1.140459966043207,1.071661008468426,0.8845603922977181,0.7935314191649414,0.6733692448741574,0.6889440224161811,0.6538823703343482,0.6367450440779433,0.6386955919901417,0.6558609475984519,0.670653197178285,0.7143466803326831,0.622762043900767,0.7138813064345519,0.6238291601797468,0.7247315848930606,0.822772878915038,0.8110102791174966,0.8916130082300944,0.8900704030283475,1.1505715561442433,2.001164556345031,1.3767055333102571,1.4196063418772975,1.3669044640384003,1.194781844897502,1.0990093332331927,0.9122497955563786,0.9349568865856189,0.8071342723774385,0.7589068035240895,0.7077225845465924,0.7115304185745647,0.625954656463473,0.5516432164109013,0.5544963276873897,0.5657290455507661,0.5644390898304932,0.5380602783451066,0.5608863208711939,0.6144310375498095,0.5952948765833661,0.6811039132785528,0.7672742596036999,0.8068266564318732,0.8209952876476937,1.0216668376513969,1.1120199824493888,1.0197073213962864,1.093579977297779,0.9096597015940815,0.7663020003738558,0.8049881574624083,0.8419145731667991,1.2494029106839493,1.0314938119091368,1.291967767040884,0.7558296077871612,0.6882850983957146,0.7186138531322994,0.8442827440636688,0.8994239849418609,0.7621107715536783,0.878994846111076,1.0736525863944006,0.9832821490194066,0.8602633860020906,1.279885533581303,1.286827007069072,1.0804565273226812,1.2781220234786779,0.7882406779703794,0.8234486970504289,0.7501606231698891,0.6989080526572411,0.7253957936847119,0.6974005280846483,0.7310283885340995,0.657328217605968,0.6535937069986552,0.5949248307885351,0.5865455045204964,0.558875546546563,0.5846531754610139,0.6614594933052167,0.5851242241811083,0.6131211977768235,0.7177163135677674,1.012811133276599,0.7684457485807853,0.7325444708245488,0.6861579598593319,0.6176557303749373,0.5792217157589145,0.6306695512948198,0.6420588076578995,0.6023088715973512,0.6388167075675559,0.6835499586739313,0.70353323756569,0.6726367118128606,0.8127155252743071,1.0065994881618046,0.7995826009526533,0.9236306382628209,1.079363822960493,1.2202663537295648,1.048623311490604,0.906654279025111,1.6039872002132691,1.3048477305504587,1.0445936560960194,0.9646150976259762,0.787096438830027,0.8277793449896655,1.0465305069082396,0.7317148343211738,0.7763434106532632,0.8000547368416281,0.7333531496494266,0.6003898432473911,0.5988137418422315,0.4960006878273999,0.5184994875348359,0.5711463489738845,0.5059498486832267,0.7630274747222409,0.612571147963586,0.48031202792343514,0.49220460402905786,0.9295431912290256,0.4638456363783632,0.7382485071665091,0.773324591166346,1.7397593707916972,1.9632906910369743,2.650745171220862],[0.49405525215566626,0.4523579203939154,0.6497652501199948,0.4393707996173906,0.6148495939430683,0.6171918747725915,0.6033635867109037,0.6516118475534066,0.7142805480609911,0.7547550725129488,0.7990376034352267,0.8142797557758575,0.803499604393173,0.8256642121650244,0.9145298751356091,0.8396804888845883,0.8431839027342937,0.8890423498861222,0.9671150314110171,0.9337069566747943,1.0576729979199853,1.0822583396290812,1.2251097550289958,1.3222589995556229,1.1504326096905695,1.036661956924449,0.9568646665923132,0.8774479432723752,0.8621496433719221,0.8200366019249756,0.9050728204321384,0.8171680613677733,0.8673213022832189,0.8931223202837947,0.852852008620584,0.8681798858229527,0.8476028346123972,0.893382766597079,0.8731491679014276,0.95399901958834,1.1076167990494619,1.0229742803699,1.0986991587902075,1.1973130220112,1.5936736841477217,1.8516988845729296,2.2051665690535835,1.5152925385293134,1.8854055867948902,2.496218601136622,1.5923696492139954,1.8422383326483627,1.2664352963276226,1.1934220261187445,1.310325480855719,1.219829617098724,1.1570184906969756,1.155647933639696,1.1313183221588523,1.7037769385323283,1.2340551333578444,1.1718503037936314,1.060224185519244,1.3245073821749032,1.2320586340290713,1.010448445431279,1.1206337418935635,0.998368846437614,1.0122648938650214,1.1080441302001873,1.1217443113044276,1.3283782757280722,1.1012635576240597,1.2311271147627632,1.048002516399474,1.4038491227820624,1.0109188525351138,0.994316568295021,0.988782960438226,1.0283095655349908,0.8692810070689101,0.9043110166800804,1.0251861109840545,1.0597125750749095,0.9780405645539274,0.843777925475419,0.8717170286469443,0.8913276536873709,0.8889309113510833,0.9038165850586202,0.9786341226483483,1.1925854795754949,1.1221889815552013,0.9585481634056308,0.8931601553909337,0.978324549609032,1.002071165240068,0.8728843079439719,0.8315233433645174,0.7910482682181569,0.7478225405968306,0.7487926437180957,0.773949468907572,0.7147498170140966,0.7297364100790283,0.7229163319951977,0.7498764688345693,0.8084515795715219,0.6768213831221676,0.7119709854351787,0.6182257848895236,0.6654082512518356,0.6515088221101006,0.6634735597823116,0.7611581311546091,0.7958790589848348,0.8068211984146412,0.8706287536541572,1.0588476253927912,0.9115278856237956,0.9490172785884066,0.8691072486794609,0.8093701848911742,0.7220212684823815,0.6602227332191427,0.6364856191875564,0.5872063223765736,0.6518639822248703,0.6325960254418955,0.6968308547579475,0.7026404123091015,0.7587079373231965,0.8610160691056006,0.8135693804306222,0.8145786488627444,0.7461311617001067,0.8217591504479164,0.7207831101264306,0.6965808471921356,0.7635589128350269,0.9058042748749805,1.1673709875609275,0.9814349732718075,0.8455472072000535,0.899860031294385,0.8447659871901247,0.8189404271036782,0.7740058548286874,0.7025848003546807,0.7116914543551588,0.6436673138301782,0.7453158570313876,0.8653388357990172,1.2630088769766312,1.1293619424577415,0.737468485609425,0.7171754958079046,0.6776876696992963,0.7465591054869598,0.744399024579178,0.7390393878421043,0.77699232502568,0.8162108431650131,0.890415888870481,0.9020652798036742,0.9231594384336581,1.0268173504392362,1.2508950956120142,1.1389064088335155,0.9619733719820621,0.896558872323237,0.8018828078414704,0.8356493587959821,0.8171577853342854,0.805478895630358,0.7983989701015058,0.8096608010769959,0.8325683073216368,0.8882431787111573,0.7917897597918085,0.8627591178076258,0.7700373185010713,0.8729459123668777,0.9731883670236479,0.958020641904899,1.0525736938573753,1.0480321768600613,1.2558586820003723,2.07035813356672,1.5421064210155917,1.6026498863473735,1.5587988032219118,1.3239210171743268,1.195602266387893,1.0191175780426893,1.0208997835947524,0.8780551552794768,0.8257338428616391,0.7635488286234756,0.7779743352521856,0.6857563285753808,0.6205173020874719,0.6168342020135256,0.619543011854964,0.6153931176493176,0.5890768505523087,0.605547359758656,0.649595679683459,0.627345687796071,0.710142225886951,0.7854163013221591,0.8120068397186619,0.8328707081870538,1.0227161749363327,1.110178958371911,1.0317787395999711,1.0826815633235163,0.9242172277867702,0.7790251466414986,0.8102816207994531,0.8439744572967846,1.2523038722395352,1.0379522907220673,1.289848509226872,0.7903964641764969,0.7365734491530751,0.7588924555113012,0.9012223597470722,0.945658482878,0.8138896662888027,0.9197531321214184,1.119840271388383,1.0050138921593348,0.8931356509737941,1.3458959577277596,1.2785706424331589,1.1083262312748696,1.2820175134139147,0.8256132016487099,0.8901707333905086,0.8148794112098082,0.7575303258034292,0.8113172177355968,0.745277758027111,0.793490448453792,0.7236050061469114,0.7146106154040187,0.6571664924843338,0.6510676657830349,0.5998488150549441,0.6159191519618891,0.6836553619299227,0.6103540995100135,0.6284584206908684,0.7242187597520673,1.0028491432511901,0.7751798126682745,0.7314820004948066,0.6930925002202101,0.6343967039310398,0.6092961782447068,0.6793359938328423,0.6607431916511858,0.6302317131824662,0.6772618290441759,0.7177479040351401,0.7296407616698642,0.7113179964451238,0.8383357153224559,1.0270098830058232,0.8236827471594498,0.9371439906076942,1.1121150343428468,1.224212555862124,1.058689964896249,0.9240224909735717,1.66043053615616,1.3544456171150785,1.0593002914414837,0.9909006298238618,0.8178889607024238,0.857659732315692,1.0951069305519774,0.7844393831326755,0.8012793513369574,0.7959600468477476,0.7704806262289825,0.6425856090183383,0.6499169999220553,0.5498660863057276,0.558937393326523,0.6257650479969968,0.5609199321064678,0.8275744119422337,0.655203941209236,0.5173261918916241,0.540146895627155,0.9761820109611071,0.5110220643401256,0.7252280482277907,0.891458456559946,1.8769827494162905,2.183954626566072,2.919720685077957],[0.5415683560353353,0.4942399510097731,0.7047989785835723,0.49387351049789086,0.6954809797214835,0.6779992980232981,0.6769623334709576,0.7320993759135948,0.776133658402591,0.8171770361086851,0.8562233035390706,0.8777336565903685,0.8727117577974095,0.877835349733333,0.9609442834372846,0.8970513165818277,0.9012317188730642,0.9267864108694973,0.9804135473271464,0.9589221799584179,1.0580942674797622,1.0875716401233708,1.2099672928213137,1.306824386906713,1.1516175610247106,1.0448437058204338,0.9913165566275806,0.9288735188898287,0.9152755017388984,0.8842992435444547,0.9463088259532499,0.8795831357752525,0.9238244690869578,0.9395172583316053,0.9091235513051853,0.9185384226743353,0.915327572320571,0.9428873734571437,0.9348764008826925,1.0106553135521883,1.1506057506228191,1.0520884066696452,1.1211804857722039,1.2118470715826561,1.5975330281350688,1.8512452866456186,2.1718312814415497,1.5005773187529783,1.8954023038440784,2.4419327845829337,1.5685221272069656,1.8495007353350505,1.2876602010254126,1.234432253407608,1.3397961363399316,1.2341416538061039,1.1680952146965662,1.1847690439147558,1.1487650768403743,1.7087062774682675,1.2388737380502077,1.1698841158382933,1.0682266571995893,1.3066328242010312,1.2204920242878317,1.0196353346238036,1.1151521154688255,1.0120228354199376,1.0135502600669835,1.1200968149140953,1.1251725513318842,1.328976609144722,1.0984548252970197,1.2220908127232275,1.0564142611008562,1.4020308322415824,1.025590760410659,1.0140492998594317,1.0185006576899942,1.0583630989356623,0.9232736570400497,0.9638280758698257,1.083488348598238,1.117887346962368,1.0531818937906148,0.916350653822055,0.9267796821292857,0.9482822745971816,0.9293517752254193,0.9423905233860914,1.0094203974544924,1.2086557626014058,1.143192097767885,0.9922738884576591,0.9345067691194903,1.0133777356370262,1.0455771623510388,0.9305084081578384,0.898148105044502,0.8602748995529446,0.8253841420104076,0.8397678579495109,0.8658317679133157,0.8149703803451328,0.8390146714711052,0.8292757467877724,0.8639591747805505,0.9079367660183338,0.7767564975301137,0.8193852553909611,0.7227674565126849,0.7729352249461481,0.7494302704309472,0.7651211447778464,0.8425069590353712,0.8690913434898554,0.8650914527615571,0.9205245601860914,1.0743868245495283,0.9422923033514835,0.9753012166036709,0.9097228449236118,0.8580373246898829,0.7949319150626746,0.7392311484068916,0.7403946120603392,0.6864048364895652,0.7597910246955064,0.7456571542678879,0.8087200296638147,0.7990276519021315,0.8545384795880246,0.9486401867349271,0.9071731914975257,0.90802098153625,0.8404921677229368,0.8975520780309547,0.81165755698475,0.7880408338900813,0.8552252379064597,0.9866207804880213,1.2254582642189564,1.0407678451098141,0.9221502526832077,0.9761234537477207,0.9187338696020005,0.8990274735302175,0.8622770001269728,0.8055690079482762,0.803683689145723,0.7401092255503255,0.8231665681379314,0.9279022758530276,1.2913977695721803,1.1763483498900993,0.818564386328538,0.7993387289888217,0.7768965822829184,0.8356680122266614,0.8511690164152194,0.8434674253066619,0.8683229269152851,0.9050898949183633,0.9757808185719595,0.9846621732534062,1.0052785781047988,1.0941945263320585,1.2886059229614337,1.1799153721062272,1.0345351074598592,0.9775958345142733,0.900897937002039,0.9326100701188925,0.9165190265556266,0.9025059989518776,0.8990922067565715,0.8961526928191951,0.92878791795684,0.9767283855231045,0.8904362351187775,0.9528755235176332,0.8773722539707897,0.9683113693226324,1.0439696658366653,1.032404915317841,1.1075547022969459,1.1031345082542652,1.2750385856431938,2.0931395175700613,1.5547340202907716,1.6168142361113946,1.6258957195533676,1.368125364406558,1.2425648015763195,1.0739419468477083,1.056640267452801,0.9349227122806312,0.8861979871182235,0.8320043328088186,0.8721780016423457,0.7817674087614391,0.7294685848573571,0.7241030372591161,0.7185878652685344,0.7156243676782524,0.6971385587373944,0.6990256518844268,0.7336283700807829,0.7180791942161455,0.788768882809767,0.8427761012480892,0.8579211513855594,0.8831927889878156,1.041318316176359,1.125360920231036,1.062344828857627,1.1025115707250717,0.9547519923741675,0.8280860395114813,0.8568693467390547,0.8721948926093,1.301268004805105,1.0592552816795808,1.3005271536749745,0.8235398112078087,0.8014308302589506,0.8325647547203223,0.9528157127882899,0.9861127168416525,0.8807702019829696,0.972788553855512,1.1268110642920652,1.0163811680076402,0.9347388375714858,1.394550014995992,1.257809511914562,1.122644538214403,1.3317460211139414,0.8801574846268067,0.9550327246662391,0.88133268227877,0.8421927447716531,0.9064425817733734,0.8472101176474917,0.9021521316490353,0.8246146066203942,0.8183463222156317,0.7647862118221477,0.7593372092801914,0.702025496420972,0.7155756234721774,0.7730250494181697,0.6938246455257506,0.7017683515724212,0.79799999274798,1.0371193111114019,0.8332908539248897,0.78989889808776,0.7595922201223233,0.7072529131169715,0.6941967673305726,0.7690621615750639,0.7300947200298347,0.7209873232754485,0.7603612306486425,0.7743342621940359,0.784332304490694,0.7793191129503052,0.8601359785807845,1.030482722197377,0.8577892115972997,0.9589730495804397,1.1019509483842351,1.2151364187540379,1.0706337306038884,0.9763759418402115,1.6872857668006127,1.4323033804403802,1.0747699955530141,1.0259227309885939,0.8765969427947489,0.911284540340234,1.1510907934927939,0.8572955086096599,0.8604527744041429,0.8850258217351303,0.8687257359973536,0.7472172559524174,0.7468262968322411,0.6632858092024648,0.6647527993089781,0.7359212210573918,0.678435846961458,0.9344578850871248,0.7491103163940857,0.6147855785025251,0.6489119487264515,1.0527433497861254,0.6108918367695686,0.782853663282755,1.0091423711511425,1.985427079780793,2.3575267429644455,3.1399052514119843],[0.4478956301243781,0.44121817500128324,0.7508726101731981,0.3949505017693546,0.5749234801534946,0.5323394938856449,0.5131750172932861,0.5722495010414501,0.6076185246292307,0.6311949298543496,0.6588310129854182,0.6852865870494188,0.6654704687962127,0.6728415542322521,0.7485974050309504,0.6860789273857374,0.6875290550818355,0.7145393374299229,0.8011159709781492,0.7798591373638878,0.9163106536836323,0.91509829451102,1.1218450140774257,1.2029209235446843,1.0674911251511945,0.9163274651004284,0.8188690147471028,0.7092379523592608,0.6914692474138197,0.6687988990017599,0.7321430526996291,0.6665937880103222,0.6976070583768132,0.7196200950997519,0.6946270432322482,0.706884266041045,0.6949865781206841,0.7408160711074326,0.7096987747660817,0.801617417384999,0.9902840955834494,0.8682938604660522,0.9559376897758218,1.1031371498060203,1.5419254825175805,1.9554748467764125,2.2624357617332187,1.520609914088291,1.934850336193545,2.675090088008308,1.6211183857909057,1.7955197404493504,1.1823416177450736,1.0892341661965566,1.2527392154254,1.0907038852602795,1.0356235892492527,1.007545607876529,0.975614423495567,1.5565756400670068,1.0633376189161494,0.9994569449423759,0.8878179184293575,1.1369460703685175,1.0616677171201248,0.8489606544255136,0.9800897308688756,0.820618306252282,0.8310110269413992,0.935615396241754,0.9676351059420568,1.1987377005395183,0.9276125265165811,1.029181501851274,0.8873003995565583,1.2143832760315958,0.8212262167145339,0.7988407633830977,0.8037870755676775,0.860162315856951,0.7028524808688197,0.7533665026728777,0.9154143938642338,0.9521865638284357,0.8401605649083996,0.6948828028094234,0.698476166667915,0.7461961998075212,0.7254567593719149,0.7396277088716867,0.7979247792979158,0.989203928929538,0.9396926624432712,0.7684661698368231,0.7201527057617444,0.8168160933712505,0.8631636369198457,0.7366482073614569,0.6943039820813227,0.6632307643520078,0.6376233005296813,0.6541910759229563,0.6789993522597858,0.6477943038499282,0.6609439146824907,0.6740104281517808,0.7156653371349843,0.7959302790947975,0.6584925005319162,0.6594560558016002,0.5653422404179309,0.596841016495904,0.572542903960276,0.5764826449821698,0.6522648546370344,0.6940532390572939,0.6718091118516585,0.7180806793103865,0.8554469893565988,0.7363811480041321,0.7986486837486823,0.7424437717663468,0.7037168461908628,0.5943431636397198,0.5542423668322923,0.5593189229653969,0.5496309570091176,0.6038171056804793,0.6036452480557749,0.6515224222346511,0.6784502948381419,0.7294296816723722,0.8183203520071868,0.761211114202679,0.7608861968723791,0.6974905752590808,0.7883069146039097,0.6691551346607133,0.6126564110138488,0.6401593313916814,0.736901881071743,0.9693787108547643,0.7785779218449718,0.6838362600863646,0.7140607341054582,0.6859532480768453,0.6824941362894049,0.6573934526354371,0.6073550842142141,0.6191839432709297,0.5696660389739637,0.643980522647219,0.8011919346728501,1.127249343673315,1.0157198767229731,0.6356449384730797,0.6120219674095086,0.5804164343931744,0.6347767089686354,0.6613236031524916,0.6465910059635777,0.6477047070201222,0.6916225314638721,0.7555864479323685,0.7770216978074689,0.8139258025396596,0.9331581968703947,1.1529917216827488,1.0699016596524755,0.8985611513467144,0.8333648233806398,0.7191203175083257,0.7429687434740617,0.7181827458684537,0.7005869904438723,0.7012231492529426,0.7067067889870484,0.7304416832725388,0.7781167351496462,0.702649339537198,0.7686088729354992,0.6922595743295195,0.8012949850146588,0.8859397017220197,0.8618254638679574,0.949665193642164,0.937721642261345,1.1620855586505805,2.0119709219982194,1.3952642444817225,1.4498068041686822,1.4308936350208379,1.2441381102369053,1.1529419227883126,0.9765940022863493,0.9772688485270565,0.8500609139664375,0.799327045291797,0.7514316385907417,0.7534634785973592,0.6791304315333847,0.6152302295066389,0.6045461420964531,0.6251880784970612,0.6258652595189775,0.5952544672546632,0.6409819632046289,0.6752567106096246,0.6298007217358905,0.7209219641922314,0.7986895562203501,0.8099914413839294,0.8210417842361926,1.0126091890632625,1.1128129079122682,1.0663999264698345,1.065920730823791,0.9378191937944612,0.7920734902970857,0.8134746112701993,0.839655068051576,1.2409629846817274,1.0327830382098169,1.274441279309387,0.7937699251581181,0.7386260598935714,0.7469667281971878,0.888476493636564,0.9253523170846382,0.8068030130542095,0.8971761820276533,1.101594544068939,0.987898070030171,0.8707136373555536,1.3336698271939087,1.2189243173206405,1.0834805572964818,1.279392351439823,0.8139614397094058,0.8836039654469267,0.8054718089185592,0.7611846703809053,0.8203834982634522,0.7388373689713329,0.789491602192498,0.7218610010307661,0.7213321746060739,0.657000556616848,0.6365371152055559,0.5850996473091725,0.5886813957046317,0.6507933944321158,0.5876251816015067,0.6096281483842145,0.6866046091340499,0.9582617128701164,0.7654611756516966,0.7201869909030271,0.6913835564277825,0.631317083118445,0.602729470966065,0.6994938063871452,0.6666344645627613,0.6469133313798604,0.6882926900043773,0.7273472300637671,0.7356664303643351,0.7174375161972358,0.8148243065299084,1.0122291283406837,0.8153744548065853,0.9122853092439306,1.0813662631057215,1.192617076568051,1.0441995489696152,0.9389221532552919,1.6998469093193629,1.441509692577917,1.0773490441716542,1.0355565545917607,0.8569194461850699,0.9122674543528815,1.2077789352557944,0.8486387622753927,0.8145144968197873,0.7760625466792948,0.7699590746282912,0.6263195803367645,0.6338507525352064,0.533871926423249,0.5430944794224407,0.5910901075283627,0.5324303158183593,0.7782041723135126,0.6080101647851928,0.49580591238298843,0.491083925193805,0.926229911304529,0.4830393275830745,0.7341130598336313,0.8914083051725838,1.871839119841365,2.2305453075234487,3.030534625714723],[0.5008450516909205,0.4994967660632504,0.8144282638198407,0.43818734469855364,0.5960235151203845,0.543589307745908,0.5197934298898101,0.57669605360403,0.6332947377055966,0.6628310848605977,0.7010835519137039,0.7182426555879685,0.7096712086464356,0.7265918235450213,0.8149525207549201,0.7466673172122316,0.7443376523376466,0.7945337470047209,0.8925725700465162,0.8652462105765942,1.0115306029298652,1.0156153142628526,1.2001846095659137,1.2746607037436914,1.117826034106713,0.983463740426477,0.8885808652398676,0.7844035974114343,0.7679742568871328,0.7314052043798019,0.8069800940773805,0.7282933010798314,0.7605475476575128,0.7871254986581883,0.7642716460592944,0.7839714619124456,0.7561429146217324,0.8231133027240338,0.7953220979404054,0.9028162655558568,1.039347940057513,0.9468444059980087,1.0463276619029631,1.1854879125312188,1.5942254324331702,1.8927278747706606,2.314251433026412,1.5789691044691867,1.8608066810786967,2.6023328489342417,1.6689485969871156,1.8468752411086504,1.286293914719733,1.1733626197261258,1.303789431196487,1.2210530544491993,1.1408594323299475,1.1108290149059967,1.0894607659853348,1.6472906744471547,1.1660768471048752,1.1170364043039447,0.9911447239904924,1.27825225520446,1.1887948706612639,0.9448608164042447,1.0834038907014103,0.9240580525168699,0.9317228356270285,1.0299473895979538,1.0584367926243226,1.2834922132160254,1.0195923072658055,1.1331840426430155,0.9662780342189238,1.3066211612127656,0.9247125762060591,0.9044670850019018,0.9084741753145252,0.9685683542542913,0.8029449188992217,0.8490689759626217,0.968527982982085,1.0599940181551593,0.9271074735222442,0.7803634382960842,0.794915585328335,0.8198726046772488,0.8162696236318913,0.8148558538049896,0.888309872119709,1.0873626704012656,1.0225745505770607,0.8503423983782658,0.7901612887545089,0.8845513475142912,0.9130942698370351,0.7820229398761177,0.7323716738363564,0.6847444654282842,0.679227726988306,0.6820805089700334,0.7345556821786432,0.6907211966477992,0.7135734282074045,0.7000755647041664,0.7602021046256173,0.843209738234247,0.6931381049384636,0.6776901594283227,0.5781883809581648,0.6154776721316703,0.5850747096029587,0.5967076925254469,0.6940126624306153,0.7328040759692758,0.7260029317118958,0.77520703297,0.9543559157926362,0.8129221524025824,0.8665128047514126,0.7923077938232378,0.7405654166259856,0.6262802726630707,0.5735015614042547,0.5684157527939677,0.5629802288709034,0.6137299780643631,0.6326117400171045,0.6969673236625614,0.7308267935497379,0.8046238500830899,0.9135603976401269,0.8504844059762824,0.8391427949802146,0.7394855732951741,0.7996709521053978,0.6962889682635522,0.636061957917464,0.6864394887819292,0.7763620131371743,1.0660730419035869,0.8767708989392426,0.7597828244202091,0.8112681661605741,0.7516923414142057,0.7337897886105422,0.6977253828466579,0.6421483926921538,0.643146329165631,0.5899274128913095,0.6468367883817322,0.8025895385245265,1.1179363151690689,1.007949626788628,0.6478758733133023,0.6341510070981925,0.6065045838915869,0.6795080615939071,0.7034753148459123,0.6931853097143523,0.7107288830543809,0.7578284692467142,0.8469627234036796,0.8820936620001869,0.9049566183397446,1.0360603746900847,1.2676391894536223,1.1525911660822963,0.9469807096302333,0.8987095939553317,0.7713744189201645,0.8123466021757452,0.7903739439624201,0.7708196677178716,0.7655860522704827,0.7627491390326456,0.794051023520774,0.8560056848103442,0.7722108875490112,0.8439565057678418,0.7605433274935951,0.8903064765915362,1.021804540949951,0.986746540383865,1.0618379625250616,1.0200101425333692,1.2844706792959428,2.016316241271405,1.566598501173953,1.643246183930043,1.5562572880566747,1.3761356868178856,1.2577840250820076,1.0958340163983382,1.095729959943283,0.9265712106101529,0.8772121449566445,0.8048208249239526,0.7659288507477648,0.7134202437027247,0.6356562915376365,0.6143770938175651,0.6444397285395339,0.650007995966011,0.6086719227511356,0.664057804605355,0.7022950598527832,0.6459018101132917,0.7396456640953947,0.8237781318349834,0.8407066761341846,0.84031969060714,1.0390922591396168,1.1607149997001713,1.1155310600590351,1.102900793039894,0.9753415802274431,0.8196507481595146,0.8468828269596026,0.8832100250324092,1.2708055853788327,1.0566848427865565,1.2841839089608356,0.8566107552228752,0.7940685915599693,0.7976709624357395,0.9467621658939798,0.9885929640250061,0.8598534835686081,0.9446013873717192,1.1907491604827358,1.0472067940431165,0.9216848804800226,1.3915781892027708,1.2958879862576476,1.1422623087667285,1.2603468041000985,0.8666548023125383,0.9469032600063374,0.8775828087228144,0.806723433492446,0.8566708541809753,0.7622331925406054,0.8058142200559777,0.750979273361612,0.7558140418026525,0.669825904211631,0.6477232405972132,0.5985972331597709,0.5961920490350391,0.6562523313335524,0.6046734497377895,0.6320225749874026,0.6945059343000817,0.9888543355386952,0.7818685542087899,0.7451859527155189,0.7230839427393159,0.6728821341282315,0.6398439466770696,0.7425871248235006,0.7117788643132116,0.6667950121967452,0.7256699649281768,0.7765992015814086,0.7743818886009142,0.7518511484900637,0.8773638325548438,1.053433384267332,0.8495350160147968,0.9574123742355584,1.175880173360972,1.2563445447396933,1.0954664868511412,0.9476789140159454,1.7387784352721087,1.3755220645336028,1.1182277360806507,1.0754838252112375,0.8801427095137341,0.9470384357572869,1.234340455649378,0.8721597746882499,0.8268396735487106,0.7102250241657277,0.739549363454668,0.6257859545221088,0.6524412855221806,0.5646848397688753,0.557031839567187,0.5881805544590978,0.5346657955058618,0.752264573138308,0.609574771010419,0.521071313746321,0.5007526808043576,0.9284417242411559,0.5079778933095199,0.7858653791141597,0.865351701337516,1.7957411667815484,2.1339338243635906,2.9232569705870732],[0.4553147157456114,0.44327257228489453,0.7941663514759003,0.41221702958411394,0.6255496632536137,0.6088569546352253,0.6065312949020837,0.6927953794670502,0.7234004103335026,0.7771600896896776,0.8266521895984623,0.8482391167497385,0.8546163939551619,0.8644961776033577,0.9729131638309176,0.9108130506080285,0.9067276303925217,0.9513580383432645,1.0271113598360733,1.0074768615941323,1.1257977083191832,1.1272487931163486,1.2605185362081706,1.3332900352713466,1.1880387587717902,1.0881410060729961,1.011300241801162,0.9406853226926312,0.9297339581727756,0.8955170572201842,0.9767906838145685,0.8908723864942029,0.9377923686363117,0.9601996294526353,0.9344180886819274,0.950018237613485,0.9300732345688504,0.9833154508784742,0.9673925544795362,1.0646507402224583,1.1494658789019596,1.0757597575115454,1.1669467778338771,1.2769936504242179,1.6361404134594766,1.8388424959624536,2.2861013884256938,1.5928682788698032,1.8513768005639544,2.4592947793474274,1.652366927593505,1.8828822073907279,1.3712406569462405,1.2777109290031254,1.369436339254452,1.3292302104752467,1.2356639541627796,1.2423967190653051,1.2146939309587974,1.7341220936656818,1.2680534040480398,1.2338393306377455,1.1344644221085023,1.4060068412906157,1.2985296031119269,1.0743383088391412,1.1983554432265715,1.0694907667105213,1.0792990515663758,1.181411667698494,1.209403871875504,1.4296537825962032,1.1658824446936207,1.2664295576133973,1.103931546508543,1.4272009912540187,1.077734346421048,1.0704523361433953,1.0751465974861645,1.133653483740739,0.9767374815884141,1.0218869176101963,1.0930109990575778,1.2213184533897645,1.1070319220915688,0.9660621150728961,0.9692490977047818,0.9736102712982799,0.9761152492643492,0.9771526397869529,1.0611754015060355,1.2449245685933223,1.189858110738278,1.0300281719755937,0.9567409112324115,1.0494419291043071,1.0578484771134955,0.9381836846079115,0.8854211785274405,0.8370292216328107,0.836431801699724,0.8409981046259918,0.8982277220482037,0.8521929528672936,0.8811018141593469,0.8336132388117752,0.9124103255621575,0.9663664923316841,0.7876519853246327,0.8113191490952596,0.6928958382792022,0.756009902627517,0.7187344558746273,0.740872247361517,0.8413758777111175,0.8716418274502936,0.8710697778460431,0.9059713858898073,1.0885141993724905,0.9545104553438487,0.9905991473093173,0.914345589862564,0.8519871205093064,0.7565699204655468,0.6858104569463316,0.7046597962667086,0.6557250597045954,0.7276769095517416,0.7516245966921414,0.8377013948842382,0.8484706697542287,0.940545361957402,1.0582116309332859,1.0027079069518587,0.9848849657249191,0.8731906763502947,0.87706987515868,0.8226344350987533,0.7633000661382061,0.8323009480064751,0.9114942342230573,1.2171678018520256,1.0438521685615019,0.9330451016056847,1.005596823946225,0.9271079178723131,0.9040321776383492,0.859617888955125,0.8064146070269436,0.7871160292783445,0.7150610599310323,0.7709717586719461,0.9053640174064687,1.1937315914529105,1.1228699837058749,0.7983152063424126,0.7899813732989732,0.7689577711617438,0.838572409954867,0.8662051231837432,0.8614586251221087,0.8945338665231342,0.9258902352963788,1.029786795004927,1.0703688583163897,1.060681862004401,1.168899598016911,1.3798826891001796,1.2381469841391448,1.0610619192110715,1.0268379033014052,0.9233078196597244,0.9760296867826167,0.9656930820263058,0.9479683748712816,0.9427104867412223,0.932880857122687,0.9727410614241363,1.0276899593196074,0.9514544515137905,1.0134070670290738,0.9343525407883333,1.0556617493909541,1.1756603978486964,1.1368604346042863,1.2016720427410872,1.1607290263465577,1.3827979772510388,2.0876237540141487,1.7056753518246457,1.7785332050948066,1.7256620334547026,1.4993380884648895,1.359624551492645,1.2113598717435277,1.1926510862759503,1.027853229752289,0.9811706875710652,0.8915008804930246,0.8722045708187892,0.8126028484295112,0.7471129477016962,0.7230753960467932,0.7296045853585748,0.7298616633091676,0.6883626617710299,0.7243899231803969,0.7480259807388235,0.6988175973471736,0.7757633204789173,0.8399019633932802,0.8445277310257036,0.8539592600897673,1.0368410610553247,1.1408115504574616,1.1036815811192875,1.086962872667419,0.9703445578788963,0.8303987731984406,0.8441269021310971,0.8947885754687396,1.2661384351346499,1.0760213902473044,1.2956163578948527,0.8936132016596836,0.8523799760622549,0.8530745021486559,1.0143143162017758,1.0237409935467894,0.9069372669048203,1.0099670779131469,1.245156390674674,1.0872032959391538,0.9794163669613705,1.4446508997521992,1.2904573588267958,1.175327439956999,1.2794207281927767,0.9388243542137568,1.037720376520624,0.9641084793920379,0.8960926154254278,0.9704786745860071,0.8646578018406668,0.9315613629001028,0.8598515783693504,0.8347337297523153,0.7656818470270347,0.746004761783289,0.6818586715477248,0.6709499397336708,0.7135913701087403,0.6574608995611391,0.6788791257166819,0.7356485432080172,0.9773006038431162,0.8118068627977554,0.7689339631986222,0.7489760960717659,0.7012696424105577,0.6893182632093768,0.8138849655384073,0.7439037907844119,0.7209871423658262,0.7923609498843576,0.8210000853411888,0.8078164425750939,0.8066068547429595,0.8988532924244251,1.0613852476186125,0.8743514042062607,0.981875382580753,1.1848875391267915,1.2396959964117327,1.0907603244504755,0.971573617594888,1.7671646931257514,1.4299198441717136,1.107971468043355,1.070922888892834,0.893275146537666,0.954487235108903,1.2441657019477699,0.9082131512986727,0.8599744562367887,0.7648045887188598,0.8127583119047098,0.7093576393096946,0.7517035246403911,0.6680222756903257,0.6436912158445673,0.6948528056872676,0.6409401982047339,0.8692025211925407,0.6844725264951698,0.5814585229489608,0.564908255663122,0.9508649587039137,0.5426484809787439,0.7628358254401485,0.9518517980008595,1.949561056117039,2.3634264647019254,3.234887934620664],[0.7061446359271137,0.6910533841843414,0.9119162184558137,0.6438710674560637,0.7648237465329639,0.7857095111912926,0.766379050986749,0.8276125679831563,0.8345181632775519,0.8527578869667741,0.8785214453003047,0.8961950606419686,0.8683344102371434,0.8882639543604115,0.9598579402955753,0.8914629937424913,0.8773481237878209,0.8670801471604684,0.9059297334283752,0.8840556875762822,1.0110041295559093,0.987435842316115,1.1848508040183998,1.2538732082065913,1.1153865493203312,0.9832100219300429,0.8970002298685528,0.8330358603396575,0.8387024484251088,0.8445867901514674,0.8965963159223802,0.8549629868885643,0.874610227471877,0.8698139289619644,0.8470634805672469,0.8500394320046182,0.8463816969139708,0.8662072293573888,0.847495997658883,0.9514560028130051,1.0648224808755098,0.9484970519119368,1.0547139257946363,1.1763195313436574,1.5620269863628056,1.9077834078248153,2.2996631943510613,1.5622901902860464,1.919848515331608,2.624921582123806,1.6576455448925707,1.8403586823403837,1.2846353114866185,1.1702241719111355,1.284040041606045,1.2259313305185864,1.13483593473275,1.1106306726417727,1.0890896393717715,1.6737092584694457,1.1354202632840644,1.087041882046391,0.9777563361936817,1.2432728444103858,1.1516372082145276,0.9324862561935475,1.0869073118868848,0.9432793345055324,0.9684298780041125,1.0932832034175137,1.1281283199525893,1.3567475414643941,1.063888509726805,1.1170165722562972,0.9915994487832369,1.2688774322908751,0.9248380192342379,0.920640883215006,0.9326716184109257,0.9882202291074819,0.8456023589394774,0.8924859895697715,1.0150676127945675,1.148256825965663,1.0117784945728134,0.8640503012780383,0.8356605632349821,0.8672172125388178,0.8483558980276069,0.8646528492641485,0.9361955892730017,1.1035693744043007,1.0780884142160199,0.9406954100955921,0.906091611535146,1.0020722237002115,1.0500499853607417,0.9393966913282967,0.9127963200220522,0.8826592088010184,0.8425068624035302,0.8812487405612868,0.9053255091197515,0.8848278010232338,0.8900535103451592,0.8775067838885912,0.9731344274753554,1.0170464491207183,0.8503160065813129,0.8846358241509547,0.7962832406798254,0.8386550688794062,0.8145426492659024,0.8123196524259332,0.8775157960479979,0.8862925502748579,0.8333734718260745,0.8360313189017246,0.9590765054861474,0.8698986657404875,0.9455006271975811,0.9134491687776167,0.8896504269048767,0.828903148285982,0.8053295514340151,0.8114584801738361,0.7975085265378447,0.816031047223698,0.8398164590548676,0.8878340464007446,0.9161610759321238,0.9873882801614281,1.0744236978449075,1.017979358151996,1.0056292689225776,0.9111628160448306,0.9643677378172802,0.8841673244320932,0.8076159951130069,0.810759771362797,0.8285030846164511,1.0588559955463004,0.8990484480954706,0.8389030181530053,0.8747926219082647,0.8432449816429772,0.8582003893149436,0.8517829940475454,0.8374141910953035,0.8602978642756748,0.8065631780047481,0.8689733663300249,1.024901310710146,1.244408316927308,1.1469461929353384,0.867551746903506,0.8484243726644662,0.8307411471424764,0.8623865898469668,0.9021004257722193,0.8729800148655029,0.8422101811940846,0.8722040311008488,0.9442339987283078,1.001977998541391,1.0005163918693225,1.1260367318226503,1.3272870527314162,1.2326544583468761,1.0651611377706955,1.0352474174624633,0.9197398279096823,0.9409681082915338,0.9271037705997055,0.906976206259311,0.9109730970005424,0.9003798654189803,0.9227466499711634,0.9705219675973418,0.9055092196410547,0.9624622866818188,0.9298559874184883,1.0188403768005179,1.1234566373789459,1.092578154268141,1.1409204106730948,1.0730618135222032,1.3119895211687467,2.084667593456508,1.5984665117533756,1.6686015110986538,1.6732682539891408,1.4482377685232313,1.3345813489758007,1.2015747658347975,1.1890710223058991,1.0738090016534496,1.035914157922373,0.9771365909948174,0.9623381847668018,0.9285092974682572,0.8777191038456614,0.8603484908950765,0.8770190284646451,0.8768080037973217,0.8653556573348599,0.8924743848742746,0.9076055940554029,0.8670896505425751,0.9349194834690954,0.9926867824270206,0.9901466090802551,0.9970861639481281,1.1510996321721103,1.2148171057980024,1.1603444980789481,1.1933540036726478,1.091979609514755,0.9783925776990267,0.9794790436363224,1.0113888880478512,1.362230668097562,1.186995739743209,1.3843504977754746,1.0228800496955799,0.9733459372478112,0.96662398260051,1.1193838393178988,1.1058317187598994,1.0089319330452933,1.1175205126177659,1.3034744860619643,1.1452543388755616,1.0615476415670595,1.4830560783507964,1.2971535779359669,1.2238026221281226,1.3363098621503182,1.0283611725075612,1.096338626834475,1.0462321826327365,1.0218433972517247,1.0776797219001637,0.9933891386354757,1.04890849394327,0.9683556317615246,0.9580450395470781,0.883302020400068,0.8583820565674694,0.8315051199172818,0.8289103380967049,0.8586647670392674,0.8389988842711628,0.8521591378394874,0.8847640861030497,1.1039275931954236,0.9674459632790792,0.9197118344625094,0.9082449496997548,0.8592339628384881,0.8432531022979532,0.9610597614969427,0.8906778901614276,0.8926735940669603,0.9234001936161097,0.9438694955214353,0.9464152961134424,0.9368959695676422,0.9841312995735828,1.1513314978598357,0.9930561342989556,1.058166157894709,1.2120807077113596,1.2739622932087826,1.1701496109410146,1.1006271818298423,1.8938494011388634,1.6274359163463192,1.2170597095330404,1.184390522190789,1.0411121653836612,1.1015391530155365,1.3849536142754804,1.0709989932982342,0.9945571736411223,0.9447976188171339,0.9746470562686623,0.8668907759839581,0.8713163920253851,0.8052192539351425,0.8118043061818125,0.8388984294524912,0.80619576379147,1.0004548712891919,0.8337717875482179,0.7649783515828497,0.753602180325101,1.0338302241450097,0.7588309863265711,0.9335318657025763,1.0770601587520605,2.088219558070197,2.582940753136442,3.4834884596574165],[0.5619014377674373,0.5873275724594443,0.9363794905929812,0.49652957622374916,0.6453309395387171,0.5925876549338475,0.5648022977047843,0.6276281162850982,0.6621892024778263,0.6866261673499101,0.7164383933120229,0.7357796920882967,0.719817426657835,0.7267602003720003,0.806039905536795,0.7544082730100137,0.7566463266972173,0.7925043090029777,0.8817869361588601,0.8594878877422952,1.036069648854099,1.0030680031184327,1.2841416542645523,1.3481895570120999,1.1743098557703358,1.0093189112441616,0.8774321996451535,0.7651494976593333,0.7523442776462873,0.7328162202047579,0.8037316293932139,0.7390631679417026,0.758124046278892,0.7837749995887123,0.7622191396854907,0.7832666250338084,0.751484886762226,0.805130716217966,0.7703064768787757,0.889785642559751,1.0040229754321541,0.9236750697936432,1.0346146994661396,1.185353876984088,1.5882710669282376,1.9856412621031874,2.4403145139102547,1.6604397705068488,1.905708040037295,2.782716105158464,1.7788158737811077,1.8415992927394302,1.3062217842967907,1.1446195787432691,1.3005118937045728,1.230504164426244,1.1614668036905467,1.0887981007140717,1.083906280283483,1.664268469955192,1.1354871692449986,1.0976294786760625,0.9633925559178512,1.2533154727354727,1.1741922207969075,0.9313690684885605,1.0980959956130136,0.9093155578011358,0.9298540024712155,1.004364765452876,1.061931733728,1.29406858829764,0.9946901280798156,1.0814098346963843,0.9524924884765668,1.2268126789621454,0.896728363340269,0.8785968023685863,0.8896331402722443,0.9520634134648662,0.7955347092350021,0.8394961290440627,0.9774529052086981,1.1218557154445792,0.9327598222746113,0.7761874726102611,0.7759627516198028,0.8102128169260387,0.8051545329101815,0.8099323277003055,0.8656840492458467,1.0367827738799649,1.0014627653215342,0.8322617178030077,0.7849863356044584,0.8739463255752061,0.9159651753408413,0.7994497434327085,0.7506536535383306,0.7074604810309866,0.7181953514046299,0.7341844588065873,0.7714133749418821,0.7455407978641525,0.7831444061476284,0.7733883039230418,0.8554580644212829,0.9271543113718799,0.7811865676331744,0.751358042338784,0.6665582071911211,0.6777210879079705,0.6365701677095941,0.6384601019281665,0.7314807459669883,0.7459121634228406,0.7374575057457033,0.7674973306163572,0.9206303947377743,0.8087315638470215,0.8766196288735081,0.7951971007376165,0.7588415598992083,0.6387482395059708,0.6021829641950749,0.61560435053934,0.6595695103849579,0.6809475456278395,0.7193650567617798,0.7675987703987474,0.8230140917940917,0.9146336188149472,1.002586355757722,0.9316723186215548,0.9056364357904987,0.7965567663833729,0.8507513966577045,0.7295133048394109,0.6407555576582792,0.6645331977823269,0.7209300029319353,0.9649376130576066,0.823839041985773,0.7316286034741157,0.7687402354626176,0.7367891342979918,0.7312220334916688,0.7085797253467221,0.6807809823578957,0.6670304094676635,0.6382228029961475,0.6688903334947827,0.8695855604190169,1.0469443660238429,0.9664029675530067,0.7053768029309806,0.6875463277931628,0.6449246357917418,0.7079981712682877,0.7554773275892764,0.7282870930997994,0.7285728734183641,0.7580481736717547,0.8572552173251411,0.904419038110358,0.9084865396979357,1.0631102017209573,1.2854783936314669,1.1835961443091683,0.9587021128526023,0.928954115445571,0.7893599002656644,0.8359399032845478,0.8247080295292343,0.8028186401045719,0.8060351022941661,0.7967953174660529,0.835030553960101,0.8786704089872034,0.8148874645178337,0.8719364515587775,0.8219264111705767,0.9533922381797032,1.086167333425912,1.0316745653919022,1.0960035225318654,1.0133730627821276,1.326598743007685,1.9777683772501047,1.570868412993222,1.6587305831848222,1.5785209670025466,1.424879937679241,1.3275962911831227,1.1846235272701566,1.1893209634627664,0.9994970379492298,0.9676256099699216,0.8935480417640989,0.8504524212453106,0.8243013644668633,0.7487949537691404,0.7165031592047758,0.7502635331491472,0.7567176666563019,0.7122883587680048,0.770555317377642,0.8029346774612495,0.7314369028284019,0.8055131241731144,0.886987505937876,0.8865341032242983,0.8654822839812998,1.0515948670502189,1.1722990546079182,1.1631129056122227,1.1054392391194754,1.0334379804668967,0.8916469228071046,0.8900668898476584,0.9528786689744041,1.3064057050461657,1.1239819206274306,1.2979242688957813,0.931291248983813,0.8874191770882247,0.8655908038477321,1.0386036626724997,1.056169697738388,0.936315837434544,1.0130447620447496,1.282898627000044,1.1165382665060994,0.9933184539665856,1.4546549771129733,1.2965406843867642,1.2023390361645896,1.2766559519101888,0.9560196641192789,1.0315671028034858,0.9695013343339774,0.9079161051868221,0.9595418750090935,0.8521404857338891,0.8851744855812649,0.8460724655714823,0.8812790286362495,0.7834404403533604,0.7536845946358518,0.697381654567937,0.673919048066076,0.705955504314757,0.6730357916248509,0.6975548287781282,0.7378943636316909,0.9834666850914665,0.8331889735928054,0.7964552787764189,0.7853578856251539,0.7557884253585371,0.7402349794738571,0.8805153552069475,0.8043595775753092,0.7712605968560177,0.8469272462189312,0.8856431199731203,0.8637488418909869,0.8532027452102772,0.9606532642563455,1.1254903388921351,0.9316376616028811,1.013998988358458,1.2499562737085599,1.2920844111259635,1.1572699256660366,1.0297282375459083,1.8710799110496026,1.5131395749575411,1.1994351895754927,1.1662226909074722,0.966298184228806,1.033692208648308,1.3698882016092542,1.022281286903215,0.949686158955255,0.7695248056328778,0.7947295876865387,0.6974599583347153,0.74692611154118,0.6675975976228465,0.6725827809824089,0.6849054865783479,0.6520742324970017,0.8230030789857566,0.6857871261341844,0.6222335593796252,0.5838669017832211,0.9346356119537516,0.587184528819455,0.8385620600263931,0.9088517855223911,1.8341281637038938,2.2752724937888855,3.1449520230412134],[0.5172397940188299,0.5471121216673809,0.8923524428560612,0.4286450944920879,0.6197772982247536,0.5605674121410811,0.5270628551345018,0.593219967704706,0.6356971711191332,0.670364052730785,0.7132530727986971,0.7305319973979725,0.7289330305038799,0.7433604809413044,0.8449656978915777,0.7902113914821018,0.8002137689380896,0.8608466172039797,0.9672962849867512,0.9501465104501693,1.1381401788820311,1.1190103829799007,1.3868021528726782,1.4468647813373383,1.256977464801211,1.0973605737989374,0.9537755237476131,0.8342897150998348,0.817164720886506,0.7769021021360779,0.8632769390350574,0.7808788225566138,0.8045582616131003,0.8522539418892912,0.8263258589138092,0.850745794738203,0.8080683642059522,0.8880456137739908,0.852010000910553,0.9839556573585938,1.0773473824632287,1.0247433484972681,1.1476419610862614,1.279554719883096,1.659088685141881,1.961322635747359,2.4728737708902813,1.7334110641882143,1.9038724544970307,2.7226962103538894,1.8469134195705652,1.8948542215204176,1.423161175424492,1.226723444018431,1.36147276118203,1.3635180790056272,1.2764045350034623,1.1957338810600153,1.2209575345445227,1.780700721339472,1.267498606018872,1.2352976703796401,1.0921797162474836,1.3876946262227274,1.2998988266524023,1.0430115252271874,1.2073944817656233,1.0089448224701865,1.0260287904317187,1.0843780062244015,1.1387272401035253,1.3700714094043323,1.082226874683682,1.1840694647624195,1.0358893924626211,1.3293013589219909,1.0000888646123027,0.9814419237344298,0.9900552985532961,1.0661970349800136,0.8825201529941985,0.9291473165848443,1.0314373871333349,1.2134589739625894,1.0129263877741803,0.8519793765314316,0.8675760228169779,0.8807205045989234,0.8928570918536934,0.8921439034434613,0.9516188437399311,1.1262867534167724,1.076593065469303,0.8992050663166512,0.8351693300888833,0.9225258473678349,0.9484676289722596,0.8192997038974608,0.7624419460953266,0.7098553159162067,0.7303024700450834,0.7412785070514613,0.8022492156112548,0.7581789390886371,0.8185023695970255,0.7879679188778428,0.8809171119433947,0.9514997493594538,0.7931079883609073,0.755953534670496,0.6615496938796075,0.6747395501044071,0.6160130551993822,0.6322000898939422,0.7324848807702237,0.7558670857202479,0.7751108976691754,0.8105976772957085,1.0043951509891709,0.8698781224735996,0.9217026859499085,0.820036316089383,0.7645299361805888,0.6325151988740884,0.5726639935136887,0.5970242392477305,0.6327545149483597,0.6812967194556713,0.728504591630752,0.7928991425984931,0.853094885226719,0.9591569133849106,1.053274198120944,0.9807751989677216,0.9429409601834615,0.8108554161807091,0.861596209847414,0.7299093943636702,0.6451668797916004,0.6893557583790786,0.767165713336667,1.0412113410197288,0.9071491570382961,0.7906255183527674,0.8485667002343668,0.7953285568044688,0.7743728989167897,0.7280912584051635,0.6898771943026021,0.6589068250589776,0.621054611234522,0.6454470535129702,0.8570217648843171,1.0450241481797558,0.9650390580601425,0.6977669449365462,0.6863481251794415,0.6404388563136102,0.7240747457481711,0.7652708216989272,0.7545075563534349,0.7731931938348817,0.8035879689677344,0.9216691911323565,0.9769338315283921,0.9622616731933531,1.1193302322227325,1.3523665860462195,1.2298647348859169,0.9858524891249285,0.9631244184142597,0.8214601000896957,0.8837480391534565,0.8758079991883556,0.853885414447959,0.8486773279398189,0.8349393169784101,0.8829527260974425,0.9376169346761513,0.8761934988269181,0.9348875399296386,0.8661006281550606,1.018865399994122,1.1675917715807478,1.1020391400421115,1.181371195830853,1.0868878282904446,1.4207127446717887,1.9946917578495746,1.695019907434188,1.7950412564198128,1.6623759276298724,1.500471701974909,1.3969541541286186,1.2684899117894972,1.2872701140731446,1.0470268318468723,1.0134602538148885,0.9207231591530138,0.8636194283182482,0.8432153731763382,0.7507046564527627,0.7148219598972786,0.7446257563140192,0.7494408158537306,0.697888566752523,0.7464539933205916,0.7835682197848499,0.713654344449083,0.7827973694409727,0.8718540240087403,0.8780515958882965,0.8547746465605348,1.0507307536052914,1.1777614926894813,1.159015915504952,1.115378516850328,1.035482025604986,0.8888709753889346,0.896741427442617,0.9734573145020238,1.352108620597195,1.1468512009044383,1.2961080328493453,0.9577582786776699,0.9257329043406681,0.9043029976533439,1.0984898418619955,1.1138476116366178,0.9825209099106855,1.0609742992022482,1.3541382532660118,1.1787109361201953,1.047164339123837,1.5128807946835365,1.3732977588453268,1.2578922463482864,1.310300016036254,0.9958084492613211,1.0741075094371946,1.0165702879545144,0.93591783951005,0.9737655185811246,0.8562745087436394,0.8896395685634235,0.8486052264327284,0.8812572860274007,0.7753528253751569,0.7471744832621957,0.6902048382873294,0.6602699553576457,0.686050593265449,0.6509883008764049,0.6835256522622654,0.7172674119932286,0.9767932921479787,0.819855735028455,0.7877149429552145,0.7787189140086762,0.7580330104169747,0.7464018697490757,0.8842978513366887,0.8132677917510723,0.7651712631674525,0.8588528074024369,0.9002372865383532,0.870146554883387,0.8642415447773337,1.0079831037955078,1.153751836669557,0.9443217094262569,1.0420472016922644,1.3066119394532971,1.335827323347693,1.1845491257385488,1.0122692211747168,1.8642974324639325,1.455227923042777,1.1991685782581476,1.1426951500496778,0.9345026316347669,1.0048129783643016,1.3199276670446125,0.9800248232177909,0.918233945502984,0.738548757805281,0.7763707372451061,0.6830479981728103,0.7556674850550366,0.6588682254806135,0.6585841972056778,0.6792081412516529,0.6422043514965072,0.8084120598249386,0.6660550334329983,0.5921624012607136,0.5384385676089266,0.9011959787633714,0.5410431292324848,0.8053747924556,0.8599642825199073,1.7959302199824834,2.195774883310297,3.0484839503277437],[0.548061494285512,0.5701274051806534,0.8794305172969457,0.435390243977363,0.6368700337189871,0.5396591109169557,0.4801663839941561,0.5416187515979026,0.5565158680542444,0.5696835520088518,0.6003543927548912,0.6404239325996268,0.6210661845662553,0.6311031600699988,0.7264281162458045,0.6781495391426788,0.6863956939528457,0.7431910878708234,0.8675558497758022,0.8421068446165095,1.0334149028314616,1.017021804781445,1.312027492289889,1.3870956131614016,1.188894774040984,1.0077219039042395,0.8606152439898811,0.7331878423598064,0.7099735549420146,0.6691923889976897,0.7433145624703745,0.654748280995215,0.6732583966091767,0.7312305964930236,0.7097730754241386,0.7404720862415238,0.6974728803357299,0.7693755619540898,0.7444044577067259,0.8734875822835884,1.0033445797714802,0.9206098248689293,1.0384848926097936,1.2075407710987514,1.6284780398554812,2.026014644564873,2.503710498635515,1.720726524908152,1.9220854248419432,2.8629359339865434,1.860940248340164,1.8645050520768314,1.3420984706291081,1.1501618010418453,1.3127231813365978,1.2657514222206891,1.1909765629136508,1.099445857299503,1.103083248959228,1.689845385825746,1.1683363719126587,1.1198965495628208,0.971424986527582,1.2610433186935277,1.1997893123867263,0.9350678249897988,1.092050119853852,0.8860883698509853,0.9044978860352131,0.9706024074592674,1.0292464450512664,1.2597546204005186,0.9741822916352656,1.0787115692753537,0.9276083146967673,1.2330859215642367,0.8961078424287713,0.8712553554782874,0.8785611397752491,0.9424266153766073,0.7752228123409065,0.8121266802503179,0.9415273611136342,1.0790952962189577,0.8890835229938419,0.7370990999455561,0.7570693733006755,0.7731651452504947,0.77540986806124,0.7733307358161126,0.8344401416610243,1.0139163451119897,0.9597520802671178,0.7769348925607777,0.7076145454056603,0.7929727820558394,0.8370501482780935,0.704435277250221,0.6492084972481541,0.632071123331935,0.6322168768377397,0.672237578659491,0.7038469246414397,0.6919046636778465,0.7373902609093975,0.7210406622603245,0.8090578820821424,0.9001145148635189,0.7558019231014259,0.722669377190776,0.6316487945090794,0.6111814064442376,0.5634696843377041,0.5647116887720051,0.6532559621812657,0.6823579618033231,0.6842819761220715,0.7296038651956472,0.9028168675654626,0.754245621261007,0.8132379547300469,0.7221323963068684,0.6867944833013131,0.5546812384250607,0.5087648406419226,0.5345974635521956,0.6063775330357404,0.6373127087438818,0.6916578412833801,0.7476909755892809,0.8222570399070824,0.9022936089079673,0.990420818438935,0.9100691766066022,0.8840665835517413,0.7573484078391678,0.8557487130675012,0.6838438611757287,0.5935002213050729,0.6257615013364146,0.701268989629373,0.9683289647801466,0.8124888253972353,0.6982006380364415,0.7355112874513721,0.6948831389845836,0.6725650206992438,0.6544737717046023,0.6172845866773217,0.5948629858702943,0.5576577283780353,0.5835644931781662,0.808769123981375,1.0476068805232008,0.9309151771912415,0.6320764753228258,0.6040368131016576,0.5721142487874279,0.6388245293705973,0.6823031142680402,0.6768621898184786,0.6767527752123108,0.7157602841076973,0.8213436143407127,0.8574443500399,0.8742108044556353,1.04536733387434,1.2692362315818362,1.1838904859070534,0.93195629466026,0.9001529110756205,0.7507893363781392,0.7990048174276926,0.7805786855424349,0.7583209292869374,0.7545861208285212,0.7439350392587131,0.7773248856469065,0.8277227818243026,0.7695602320036314,0.8254396833558996,0.7828009621539942,0.9281947646107954,1.0842474773928448,1.0231924659972518,1.087213510812188,0.993716916333787,1.3804299453625029,1.9533600548335694,1.5892714743502134,1.6716447821174205,1.5305014986486356,1.4100489401207872,1.3318696202587665,1.1978419343589533,1.2237558131774724,0.9980580305010375,0.9820136432331867,0.908324080184469,0.8560176679110268,0.8342556117752218,0.740428084933378,0.7088270304777469,0.7385278455260971,0.7481021883347495,0.6939046101525037,0.7459123908305874,0.7814191367753162,0.7265919643325137,0.7963897434021596,0.8879267079498213,0.9031066087316623,0.8809932885640276,1.0784608822424038,1.2131744384001137,1.181294940262904,1.146123710108871,1.043411265997867,0.8953186797414809,0.9157525785091484,0.9735734793409389,1.3784539273192022,1.1421806111265627,1.2974050263509564,0.9437495959960798,0.9052767016227994,0.8903237872280335,1.077479039683223,1.1192398494514035,0.9578478356729653,1.0620690692053738,1.3566021327599016,1.1865025733028032,1.043626212028188,1.479521596637961,1.39724011746639,1.26348083322837,1.2935467054257044,0.9926766395516117,1.051391200056159,1.0000341842869247,0.9127007298197704,0.9485603435167255,0.8557533407939468,0.8857105726377574,0.834623909877784,0.8757214866974735,0.762974052553076,0.73480547092048,0.6945833360517468,0.6723589415826151,0.6909840268709456,0.6615667306670906,0.7083437849277434,0.7297357229365569,0.992774041195069,0.8405716833133751,0.8152456398513473,0.8044747065332533,0.7676959136158142,0.7442961409235226,0.8687195173489698,0.8184356217121018,0.7724166711457827,0.8506373676440316,0.8923856085880532,0.8692060538537946,0.8538567266074126,0.9960233341722944,1.142988338440659,0.9354855083613905,1.0402398402331157,1.2919571189570018,1.329804126444311,1.1704534061743432,1.0018892519990394,1.8303308100391207,1.4221027131930986,1.2025607117196604,1.1469582916051952,0.9345938583683142,1.0135332154730226,1.3164966281980264,0.9701347020172684,0.9007627648009423,0.7043329641962894,0.7579966901294107,0.6711922277915698,0.7570304569767455,0.6392529712494383,0.6440034572762361,0.6627668905696195,0.628358805611595,0.7831078905364347,0.6462049214303114,0.598655086762429,0.5180074031554117,0.8663799823629184,0.5378137167061549,0.8309582240018181,0.7943688055588012,1.7005281748374352,2.042557676209537,2.8478209477232785],[0.4941411574454174,0.4937597809500162,0.7581875191974412,0.37083517569018715,0.576689496368678,0.4903587979644586,0.42925232150014625,0.48157660504639277,0.5174329270082845,0.5416287408390092,0.5779058695291572,0.600610403138733,0.5857879858168608,0.6123288310107353,0.7159103168792464,0.6382288811491561,0.6564730308293916,0.7200276867312638,0.8476786512061626,0.8118267702753976,0.9936186659094299,0.9943688444023634,1.2451615551473014,1.3252432432057386,1.135652267793974,0.9674204229091229,0.8339047423053136,0.7130160034037452,0.6886718349363645,0.6326093677052995,0.7151894320303536,0.6176366166359543,0.6445379644138068,0.7052155692703034,0.6746438803481861,0.7060514195359511,0.6644162350432306,0.7450435926349148,0.7166969657709907,0.8495924761423133,0.9917786737853869,0.8979387264104526,1.0190898014023628,1.1887502333987368,1.6117842475574315,1.9590625927092462,2.428317841193617,1.6622588061928845,1.8874164914126053,2.7616041536919442,1.792454731080992,1.8528635228179051,1.3154753654463418,1.1488479963396294,1.3025750950858639,1.2433796962177308,1.1662489305696813,1.088265576177583,1.0906780389050885,1.666624283679773,1.1636142265289193,1.1066254182686461,0.948402375596916,1.2672688846940177,1.187348288670183,0.9017638212511366,1.05908290799105,0.8628891296448282,0.8849680754339053,0.9636635679179989,1.0130616635780414,1.2548735588343698,0.9740435165311632,1.0913085084405254,0.9171370095593155,1.248420317957129,0.8694445277667772,0.841271168277705,0.8487334337618242,0.9157970878593656,0.7355891921567146,0.7845977987424981,0.9029890675637396,1.0299099928883275,0.8596779449358903,0.6992625214685663,0.7222288838916505,0.7476279057668029,0.747960102331175,0.7420412778354986,0.8045566749624058,1.0031381201447604,0.9353394675399112,0.7554818429338543,0.6848955865964204,0.7738526465948412,0.8362703622569578,0.6730210897909594,0.6126517882518708,0.5940419658069407,0.5694716553119391,0.6020848367700762,0.6323757292429548,0.6127654276419424,0.6605132808153708,0.6419560574103241,0.7264309160035726,0.8307698572671786,0.6650850667459955,0.6493503142851922,0.5475859764005827,0.5357425057063493,0.4902336241765129,0.498836888589309,0.6026372311579057,0.6550078412384661,0.6583884990381854,0.7188245307605857,0.9084985573805566,0.744357970538105,0.7942186512419861,0.7029334280066837,0.6633349857884375,0.5285829785070049,0.4621921726193076,0.47321914458310577,0.523440550123008,0.5591188403850188,0.605087956213978,0.6646511245868169,0.7429175585687222,0.8217239675281124,0.9238262972696818,0.83869408367015,0.8237768703598328,0.700229986855957,0.8023918097098403,0.6372131883812876,0.5540043533985962,0.5953804337570566,0.697274576533172,0.9864860484522677,0.8053927209379044,0.6730779454010033,0.7174708946002089,0.6656960266619552,0.640840831005596,0.6060914762776713,0.5472002377747455,0.5358658398106774,0.48822991117064,0.5566222301590596,0.7619436331191785,1.0756661603578475,0.9414672071871303,0.5694949095073965,0.5400132856405122,0.5028843775425864,0.5759121237181869,0.6107150123431618,0.6177614098276929,0.6285169230317434,0.6802784969922269,0.7839470839999054,0.8272976940202876,0.8537717628453404,1.0172236963717742,1.2579870709505314,1.165735573904867,0.9142106157605608,0.8642824228343449,0.7134300147497975,0.75650530305215,0.7302246073114977,0.7028568076066729,0.6927066925163459,0.688086545217099,0.7151203249558236,0.783370487650158,0.7100101554104064,0.7900852432069438,0.7146504589480559,0.8729543160076106,1.0367415108386757,0.9801265499713907,1.0574762883245612,0.9781996093372327,1.3518845069402328,1.9748623568733208,1.5786138112869306,1.656510434409115,1.5001577271283897,1.3698764613215912,1.2851224683171936,1.1406887397919925,1.1753235896541516,0.9406933873984098,0.9125667464677891,0.8242360381671414,0.7692226737554669,0.7318209058009699,0.6226266961327772,0.5983653145876185,0.6264959356677436,0.6337667389542222,0.5689414409405522,0.6226683296544072,0.6693499841967953,0.6172421441203644,0.7038736055786943,0.799199321514123,0.8328474855986613,0.8226040417232389,1.038986111323095,1.1656155313459315,1.104405117905788,1.1160976661366953,0.9731949587659521,0.8189616248081916,0.8529776134639704,0.9204315340933658,1.3720282416522114,1.0839415453731631,1.2611359070123747,0.8746137086258745,0.8274680282109877,0.8066766302012814,0.9935237970761521,1.056063507983936,0.8909775799743234,0.9880585655894669,1.3053900765248219,1.146128774395296,0.9852878242891865,1.4222090075676395,1.4132051564837023,1.2254656867451617,1.2745076597445633,0.9166284410171471,0.9654933435942349,0.9169708881233207,0.8098454419683717,0.8432164846094323,0.7590906389604396,0.7950819379379563,0.7347021249436166,0.7596441846564845,0.6410640354257684,0.6266454994666905,0.5744081774384217,0.5588320444459373,0.6028306025791916,0.5612827751188016,0.6101273321211123,0.6574288002474037,0.9507097954298328,0.7710836932288484,0.747200232166613,0.717678891994545,0.6705307168354502,0.6341217572033252,0.7596433932930461,0.7336759081985124,0.6697320755768219,0.7458480001027483,0.8018663922254149,0.7838454582708266,0.7587191220247226,0.9292484593868485,1.0860614133935245,0.8457906634386173,0.9882772784808699,1.218539006873382,1.2737624833145855,1.093341311503317,0.8983433357425123,1.707609988097064,1.2720081851947174,1.1158974453316037,1.0518583970217164,0.8349836533144457,0.9174440045880269,1.1863640744581405,0.815220605919375,0.7578766247675621,0.6248767466004483,0.6645707378282554,0.5787463238187435,0.6600541962293083,0.5456934267427301,0.5469770759369984,0.5763878433903089,0.5160366347364754,0.7093691413165814,0.5828915208914215,0.4946383673031604,0.435985277918063,0.8512748559033105,0.4382579824297161,0.7791089195707969,0.7157860431726846,1.6437489671668588,1.9049405393545742,2.6570672977831347],[0.5025554007156958,0.4914610260104239,0.7094763447305559,0.3907811755936694,0.5730475926735294,0.5043103994454744,0.4401298687028568,0.4824740258622103,0.518558795923321,0.5364570874822661,0.5673266636747549,0.5853800069145445,0.5610139427954781,0.5885956336372781,0.6791536313752389,0.5954144891620347,0.6109270142179742,0.6626268689522046,0.7852921491297576,0.7430845142452478,0.9023225112058839,0.911685160333173,1.1358153048939896,1.2256261494371816,1.0576879392622227,0.8899336150258909,0.7738999802597666,0.6576181163923379,0.6341850097881401,0.57360340277534,0.6699624266263022,0.5670681859546115,0.6149369007470059,0.6618382413394539,0.616530216810595,0.6458254456741478,0.6059639191258773,0.6767167929460827,0.661508002174973,0.7760798311783059,0.9549405102717725,0.8342373205038355,0.9366841620139492,1.1118737213087588,1.5490797350023373,1.9292754254161117,2.3307407555126503,1.56599635325847,1.8903107743176168,2.7393560172803464,1.6998942701447546,1.8234362444358894,1.2099465308293729,1.0908153455104428,1.273798539268569,1.126582683551024,1.0669600623062672,1.0111422992115342,0.9846560735990869,1.578970251533718,1.073822944303179,0.9950450762122947,0.8475960716079863,1.1582920461497688,1.0811022144635285,0.8229278889584418,0.9671842297079136,0.7883579042695432,0.8235484314711128,0.9218440146169105,0.9699811494593604,1.2008558076996636,0.9381692115255714,1.067320611886891,0.8597580206325199,1.223058125942154,0.8032893384936795,0.7727349549612359,0.7732654787469588,0.8283355714419061,0.6670905060558744,0.714464682142081,0.8645779975091518,0.917839513874392,0.783656685877182,0.6262085378503741,0.6562611718050085,0.6775399051969007,0.6835662008144945,0.688639694737822,0.7563092687180857,0.9714426114080184,0.9011844806124174,0.7147348871406002,0.6464263022736636,0.7489726104533486,0.8126789190240168,0.6511743605297938,0.5905116566623373,0.5938808077609432,0.5304288150825854,0.5732501986384142,0.5544786400414159,0.5545774650613287,0.5894819921565744,0.5905257467937582,0.649122863426501,0.768795940976714,0.6186692775345167,0.6155326523216385,0.5155120570298445,0.49657264731218625,0.465275912969283,0.4623650734842536,0.555384236170077,0.6192888701482996,0.6117025309672228,0.6849988511659554,0.8736056726788248,0.6898828580989168,0.7418020109516864,0.6745332429237888,0.6406021398321466,0.5164779249809873,0.4564132340080279,0.44645649267543963,0.4858294090528009,0.5259663092049168,0.5402124661549484,0.5952629199015889,0.6661594533038073,0.7212658069193008,0.8187981507445073,0.73621972689543,0.7408780543052517,0.6530374491977745,0.7760946810086385,0.6139367394487717,0.5244313020967025,0.5663961705219789,0.6986335651342458,0.9705476028117124,0.767259101792706,0.6300154067047082,0.6661519132891673,0.6251852581238146,0.6040602070656069,0.5622954271736059,0.4964570043425251,0.49598284519280045,0.464568424053835,0.5686982778810487,0.7526494221414693,1.138389074460878,0.9794609802627365,0.5483158382806403,0.5123287115515852,0.47384468831232895,0.5249440479774775,0.5549645649018702,0.5598793750742633,0.5679049349337897,0.6301186266113168,0.7110592862538097,0.7446937193407754,0.7975927853745052,0.9458434506868569,1.1986592548359398,1.122531527260369,0.888837276448785,0.8121858171457158,0.6645221751516405,0.6898980222131694,0.6544960766023568,0.6280412155652605,0.6238991592105194,0.628591045717298,0.6450207827259692,0.6996293427745414,0.6249088582152623,0.7233430181912132,0.6382012321673538,0.7751695096209381,0.9141163433780903,0.8827303762043498,0.9628227831963121,0.9205771035970091,1.2724553966185752,1.9799965746631314,1.4739927121709715,1.5387179538991262,1.4032870726822049,1.2727350679499472,1.1867753650030999,1.020337816027537,1.057683595402785,0.8650094542339382,0.8234710483372351,0.7631571008481927,0.7140844333349712,0.6757623462388598,0.5610639524066635,0.5474112258813653,0.5900453128713309,0.593125879713615,0.5312711859716641,0.5877516387201059,0.6459495199748397,0.6064096650652767,0.6926767019763133,0.7928261957348851,0.8404230702764381,0.837963865311098,1.0468085431300016,1.1719688236958266,1.0890106851102013,1.1453892026724606,0.9759639735015062,0.8145489067781254,0.8548668379543529,0.916093998177838,1.3421338170921862,1.072937293300713,1.285666935526326,0.8329064050733189,0.7754087681904227,0.7676649731048125,0.9065482187852365,0.9900743262259182,0.840532118685962,0.9269599717188626,1.2181187143607266,1.1018626595104426,0.9503969337535624,1.3753158607139857,1.40891582959202,1.1902040391312547,1.3006224107488746,0.8719097871662712,0.8861732515831012,0.830312978413028,0.7412215449250857,0.7480100396506303,0.6989717701648664,0.725355161936307,0.6669410652164072,0.690725038406847,0.5759178977570196,0.5590230433414398,0.5471483753542113,0.5517219285050454,0.6028266917608801,0.5598022001081722,0.6160463643643308,0.6906170963146852,0.9769553373607726,0.7923883415665942,0.7692029151646271,0.7180708822955102,0.6524379507695842,0.5989084461555737,0.7007177772989815,0.7055068083854309,0.6450949937950291,0.6920317721878411,0.7570175531787728,0.7578623095741143,0.7216560205448034,0.8865868564009287,1.0572879631876462,0.8242013779142049,0.979964234531547,1.1913315296101983,1.2806363696688159,1.0991131040831263,0.9069479573788812,1.6582252519365834,1.2457438904736733,1.0978654206309912,1.0148775147181002,0.8139206834149438,0.8804441770124778,1.1065444916468699,0.7471333938753654,0.7380251305116541,0.6585739733218104,0.682607178678655,0.5709431387323392,0.612283136487322,0.49299473768588764,0.5148710211798713,0.5347746579559537,0.4710250722801409,0.6832090465323513,0.5604234418527038,0.47339313464671096,0.4381317281127322,0.8716879623101405,0.42603464032827265,0.7705962810314074,0.6958131137309497,1.6100648105656408,1.7984318149400715,2.5079485298936586],[0.580447452951146,0.5340221319695813,0.7629047189786475,0.4601773980763603,0.6352191071478241,0.5678781586654877,0.4779464052824668,0.5136980643280121,0.5337315779517502,0.5394787274821251,0.5712708960092236,0.586495291548122,0.5641598023573215,0.5940203777356619,0.6737991826042928,0.6007007419024597,0.619583530108769,0.6718899948393457,0.7993029568960739,0.7616078029923409,0.9317162581686456,0.9447398123219648,1.174530430749394,1.2691973328894461,1.0967240916991536,0.9160614388373118,0.78959333693967,0.6661572533232161,0.6393731239876282,0.5820965236545996,0.6805102779607114,0.5691199236568327,0.6149348018019092,0.662859438375613,0.6215792879093048,0.6568215182137852,0.6096552060158622,0.6867487412191268,0.664611445469913,0.7914754093387726,0.972971487896321,0.8562685250923743,0.9696211207692664,1.143789609357642,1.577521925999539,1.953523406344552,2.3874495916633007,1.6270736111024577,1.9096116751010936,2.8140298131029415,1.782139946059649,1.84121665595052,1.2561722025828526,1.0939772526503426,1.2760082477783465,1.1776041497283745,1.1138384422772543,1.0305686163214405,1.0237664191468547,1.632324164158431,1.1148661907612638,1.0422914303679363,0.8790773485237936,1.1949780857150856,1.1279373668501629,0.8543297685456706,0.9925232787393212,0.8043423369667183,0.8400190259570163,0.9405739862416544,0.9892127675155443,1.2272792432985338,0.9605770697467092,1.0850885154128398,0.8723148784664416,1.238023811200566,0.8217898661245961,0.7900940284125316,0.7884395633500987,0.8562273134836549,0.6760708979102976,0.7282090946073221,0.8618020730743912,0.9476954893887598,0.7943711427653743,0.6279522999670272,0.6597791219755813,0.6794524551162723,0.6982291059835865,0.6964794228533274,0.771868690717355,0.9760181795551595,0.9119162366881713,0.7196396941363632,0.654120225193372,0.7575860616043327,0.812453378533779,0.6489939409239963,0.585926731084519,0.6167031382412791,0.5324149301375025,0.5771913326539078,0.5521229007472345,0.5686271733992875,0.5994883640251514,0.5911446564251868,0.6816334603647395,0.8051723749015515,0.654968509347132,0.6513090079681332,0.5663092175254905,0.5126923389015133,0.4835394947370946,0.47064059142730136,0.5544772944292692,0.6223270362028614,0.6212808435019638,0.6997764555578266,0.894724726329443,0.7048727785406858,0.7565936418259231,0.6850610888506771,0.6533615820774324,0.5243016483626419,0.46077508877749734,0.4492332654282488,0.5596170425808306,0.5452251544327773,0.5741451413312476,0.6161285443566482,0.7082870567710557,0.7642069522475415,0.859396802978485,0.7686470429059187,0.7670299898942623,0.6808477860263222,0.7763632921691426,0.6230104899448045,0.5378203775140313,0.5704318348027099,0.6922856585276191,0.9602394218165063,0.7636816785211122,0.6323224417615938,0.6654685981684733,0.6295139714388056,0.612677888126565,0.5665597254482397,0.5066380380550995,0.5199102705129638,0.49341464824801845,0.5856944751252591,0.7820681992617403,1.1614602262512828,0.9939948121555524,0.5748933752367913,0.5280156739975745,0.4917741745129831,0.5305300733304185,0.5614476579134623,0.5732829206599646,0.5758881314300704,0.6386120823974172,0.7150150756080115,0.7577402072241155,0.8079305886870328,0.9645494811590054,1.2199642555167132,1.1453709344817156,0.8941901734431239,0.8200814828761225,0.6713057597312698,0.6990991070650452,0.6619745155411958,0.6345274408032665,0.6269252325997419,0.6354380771330015,0.6530742251021153,0.7125679617404712,0.6401362343079787,0.7312824246458863,0.6488538114131003,0.8033363212725767,0.9569232677651086,0.9073022525362243,0.9973386652377133,0.933145139102492,1.3223404355212345,1.970521262894286,1.5190303501644182,1.5729530038322124,1.3973895205697229,1.3038873987184574,1.2318363737383975,1.07830447889552,1.12343731963504,0.9176589996902439,0.8913075284498745,0.8273450609226558,0.7483376302295346,0.7463782077535981,0.6199557831304522,0.5969359146014213,0.6548758070951474,0.6649245084315568,0.5973830528744066,0.652932587276017,0.7098769520578168,0.6718642204427387,0.7343900276840585,0.8396964958622002,0.9051473107171593,0.8794829794200042,1.090039920345763,1.212072574731868,1.1301029666074205,1.2108136863742645,1.039207126301149,0.8871200067703064,0.9432689013551742,1.0221651538078187,1.5231935997464436,1.1808055138051499,1.3301116932782873,0.9432588352203208,0.8862426459608012,0.8630098347091023,1.004492315367722,1.1036201720214174,0.9235134030037803,1.008858563823643,1.3228279880640388,1.198789506355092,1.0278054150883003,1.4182117276523416,1.5149544087756162,1.2641798191073637,1.3163167722562725,0.9512418236065423,0.9494753638387865,0.9098711244545081,0.8177216629605911,0.8072107358456008,0.7774298780813864,0.7932335251128773,0.7404743601812053,0.7579208787944935,0.6488704955677783,0.6382346623110944,0.6260998650334347,0.6320576380919789,0.6756372389774519,0.6303018614855131,0.6959048317149692,0.75727052687972,1.0318736277165665,0.8561563580181066,0.850834447435465,0.8045816014867346,0.7530863696036179,0.6974558293556102,0.7898981587735565,0.8209846408853586,0.7214009485655886,0.7782919795940062,0.8624538494044031,0.8573440490197394,0.8057034155774377,1.0032744342069597,1.1731050719355072,0.9138345719909601,1.0625919087793378,1.2871912079916519,1.3508128017381866,1.1651368081957163,0.95181780092367,1.6454626704718802,1.185174330457032,1.1432022938787452,1.0479767125093147,0.8515019227505868,0.9198315579609844,1.10616689553815,0.7677584553643091,0.755443616991275,0.6788172507074831,0.7024583300855578,0.6138652074797687,0.661991560886688,0.5603029093304336,0.5748772525878547,0.5707944609752998,0.5342137712707574,0.6800115064180895,0.6054001505331146,0.5358022881575234,0.5103882520711129,0.87661039754013,0.4900280254124228,0.8714379404224637,0.6718466992005361,1.5235575207090974,1.6497507000476328,2.364591487562732],[0.5262277303483531,0.5251740696221464,0.8009970735996266,0.37386099186487765,0.598054304102725,0.4917362199074064,0.41682765131971405,0.455299600528699,0.482903668606205,0.5008641332454333,0.5288732279147482,0.5648628095546573,0.5401056266215769,0.5602044017055624,0.6618872434840346,0.6058128989688422,0.6245571588940481,0.6843290756179783,0.8287556333512279,0.7993070552294506,0.9999106440590801,0.9934781647598334,1.2980091242603105,1.3824709434146114,1.1825274558052743,0.978188930611991,0.8219860007948202,0.6834853285918417,0.6543765536162541,0.6003145616978095,0.6776180720908934,0.58220775684533,0.5998667444445983,0.6714638593060902,0.6370471101103058,0.675201014168774,0.6392332264436227,0.7184627217255505,0.690896530370393,0.826572405279069,0.9906084367141618,0.8897112177895866,1.0139113969222244,1.1966012516677595,1.6328495187595822,2.043691320595536,2.532367511618005,1.7414062230923724,1.9343412294525775,2.9362734311297243,1.9099423234537787,1.875314680645911,1.339877454976277,1.1248388208809774,1.3044670021369578,1.2631231266511609,1.1969540496741877,1.071138983377561,1.0912646955345422,1.6993043670886514,1.161013773659265,1.0995614747376885,0.9375839346392134,1.232433122625161,1.1729410312301647,0.9050527387801238,1.0488276781893753,0.833297200292657,0.8613516836242475,0.9165776796393935,0.9795352643110519,1.2252140120353463,0.9365508722443916,1.0622003773462467,0.887201255590111,1.218667401441957,0.8435156386607895,0.8116008511695558,0.8218388649908294,0.8978325979866009,0.7145635505710258,0.7552906260980582,0.9034139393644143,1.0306683909703391,0.8340789192233249,0.6708507343959508,0.6909601136980201,0.7184062864453521,0.7224043042278337,0.7077709099468192,0.7747917037841399,0.9621708080213849,0.8922648213563293,0.702651327934275,0.6427771756665138,0.7375942922593016,0.7891453430846129,0.6355101599186801,0.5722019198131434,0.5684342710922012,0.5361333230973016,0.5982233250634765,0.6069361684285914,0.6072110997619371,0.6514322437147387,0.6404925406095971,0.7466885455264625,0.8525479848246121,0.6824999555889532,0.6520718512932716,0.5665541338815814,0.5234809318508382,0.4613846169159293,0.4704714498408524,0.5676436747589364,0.6240506317212915,0.6350297085461977,0.7000188891910258,0.881846341615004,0.712117096951719,0.7680720743300894,0.6715635468486619,0.6423167057811072,0.4885568157396807,0.4242540246218933,0.4475217357720912,0.5541864438943003,0.5596833887797049,0.6079149008537926,0.6518766711052373,0.753773139941582,0.8325447538283732,0.9196509393694422,0.8358527628781589,0.8118004257326348,0.6872911520020305,0.7687764951057948,0.6150842808223594,0.53114755129303,0.5803506897263796,0.6870074797943722,0.9624488637257974,0.779236806660076,0.6445856272437884,0.6782837148153659,0.6332655908480405,0.6123677041890329,0.5702697442551271,0.5221448485983403,0.5139223554159768,0.47650956666580757,0.5176187707813421,0.7424706415811719,1.0345845927767214,0.8958044073069611,0.5413278362337135,0.5133374117326867,0.4864113704024909,0.5572151936532871,0.585145622420656,0.5960325224112176,0.6038105709390195,0.6608625532631816,0.7516799541166278,0.8080485703611807,0.8247340163354511,1.0049277043212987,1.2425512759641126,1.1574193089372231,0.895350505993193,0.8474657139780682,0.6905831118210574,0.7368388082397489,0.7096474904176355,0.6862504746086501,0.6622095077066152,0.652253061002288,0.6947049496532703,0.7757772481634573,0.7097738305756499,0.7864806611454589,0.6971566508491198,0.8755484474298351,1.0361066688668163,0.972942599206229,1.0671340193581564,0.9661098288891907,1.4181402094411124,1.950769860433847,1.5704474214143147,1.6418194190581479,1.4381389160453415,1.3551063090629192,1.2691360640617435,1.13483395404732,1.1854990693985117,0.9495204296778773,0.9390141077036227,0.8547590940048039,0.7796902382967881,0.7680800032459456,0.6556738629591827,0.6198952648082245,0.6634739852031554,0.679107469998383,0.6135349532263644,0.6634985549187055,0.7124525591169533,0.6673782545482101,0.7446048401248215,0.8422359808372902,0.8836157023163185,0.8662671987526362,1.0823744228013576,1.2100598876972366,1.1557974989671451,1.1625080034136952,1.0231976433555423,0.8633537803595576,0.9018610819589428,0.9769430559343881,1.4892866696564488,1.142971433167873,1.2761375382646896,0.9219615725649544,0.8831409357796421,0.8433434327206505,1.0286317185006875,1.1071395668490434,0.9274580951858261,1.0245242345758656,1.3655128734507778,1.1997218597341168,1.0340373649101668,1.4606085950047245,1.4834122212951535,1.2685744934220187,1.2925613965951535,0.9541286260931525,0.9938157023757106,0.9539504001984818,0.8330822867216924,0.8565461850219905,0.7769622638989304,0.798786071683004,0.7499285805632191,0.7896140479388911,0.6578235368254132,0.6459789954621761,0.6151111998952582,0.6051777943188359,0.6348303719575809,0.6081561129528875,0.663465458727445,0.706292469321387,0.9768609613317419,0.8258087361030108,0.8140362813784547,0.7787969524746559,0.7306046670025566,0.6812901621473273,0.816181828880733,0.7966074659141795,0.7168343958511781,0.7903328853765564,0.8531740417934136,0.8307137930687887,0.7982846954394333,0.9772824118358053,1.1225710097940262,0.8774227990534412,1.0202861733015252,1.2680237882701386,1.3001055192623772,1.1224259903721965,0.9148792494693604,1.6973941087286428,1.243473848590151,1.1593019818164592,1.0868313270994667,0.8592480941854219,0.9509946712948845,1.201745668458231,0.850373922396527,0.7783023225906622,0.6268546538219575,0.6861458115769019,0.5988033833838772,0.6850277108793937,0.5637208008834196,0.5798856705473024,0.5936170185133652,0.5650022808236391,0.6876218802206476,0.5935099817013736,0.551443887663809,0.48172385105177773,0.8434894747281672,0.4680736789992238,0.8276582758620576,0.6810861948685593,1.5370805568301757,1.745318779349529,2.4979446484083283],[0.5013610538863859,0.5034387971818381,0.8007892341310592,0.3594068069628623,0.581341133270924,0.48410541852606415,0.41102593834768725,0.44325729032932376,0.4653441845327029,0.46198270716433587,0.47877825743859936,0.5336759470812179,0.487845061338264,0.49421260390342553,0.5768419980895095,0.5356164795517923,0.5529294264642286,0.584365088801593,0.7079788725956349,0.6860024553088652,0.8748106144764421,0.857417976230937,1.1849516369197404,1.2670237293115165,1.110465239983946,0.8768651928917387,0.7311516463615011,0.5908080264326899,0.56496666066706,0.525122699475653,0.5928154802645703,0.5071367428954389,0.5250946450258644,0.5864961964729656,0.5513995484320634,0.5875341435627082,0.5611331544746012,0.6166419425770924,0.6001813901512275,0.7274727506424931,0.9318897692897926,0.7921615108731156,0.893668637308855,1.102101780141124,1.565759093303567,2.112453669504427,2.506052756922844,1.6815502098222277,1.995476543656367,3.04204582741197,1.871381055243733,1.8689812806092356,1.2353389807222896,1.052290327947704,1.267719488582098,1.1271997120239414,1.0770127343039866,0.9572822046833129,0.9442259257859474,1.573867473698167,1.0217460880290894,0.9552016221606295,0.7969259743407974,1.0697945361558898,1.0295125928100426,0.7858907729257176,0.9114237622912018,0.7020424912393386,0.7362151563043812,0.8245593004698238,0.8905758153642757,1.119233556948062,0.8358907294693063,0.9317252502568165,0.7699845891362278,1.0940401181131145,0.7253910823256332,0.6965821143612844,0.7144071658392334,0.7876673428090701,0.616127870451508,0.6564906887281702,0.8537925300234714,0.92066351853204,0.7449351339050809,0.5802100391704222,0.5889667441231335,0.6229640087796523,0.6270875133970717,0.6199324953474613,0.6753068564524005,0.8423575560771583,0.7870096995691447,0.6097509975911825,0.5600534151260279,0.6501674150346193,0.7313460791968515,0.5781604538991131,0.5192555477270067,0.5438756837968267,0.48581053009942493,0.5816700761223632,0.544203953313984,0.5720187199532711,0.6098629157650813,0.598427602231365,0.6866470257582684,0.7949030402879016,0.6449503575794066,0.6386903963922212,0.5486777576936169,0.5013565548256296,0.4444075941845695,0.4445279387874064,0.5268572093521797,0.5785436786813296,0.565431451139257,0.6204688042583841,0.7686882009671003,0.605391235814043,0.6713037110706642,0.6042027963390937,0.5935858072800108,0.4549120098477585,0.4031499913910662,0.414492348417157,0.5533039876398456,0.5382907428863665,0.5728992753309121,0.6186929714958216,0.7044159384276194,0.7593280278356656,0.8518837904495952,0.7696407700943025,0.7646116869997429,0.6752555015816648,0.7697408397800489,0.6086479824126719,0.4968227924671576,0.5243313298300368,0.6220893272597199,0.872354116384438,0.6727197464579989,0.563281136570247,0.5881362556460731,0.5643735481513017,0.5529108725713171,0.5203627453734705,0.4899455501489208,0.48600536275480494,0.465109696777002,0.5038586678686221,0.7507935161923598,1.0418802027542824,0.8811755667100776,0.517437190682044,0.4806427042949094,0.4658046387369523,0.5110473320425601,0.544890370576282,0.5527315622769244,0.5451451089980509,0.605073415017501,0.6709534928699271,0.722336945698999,0.7665571194938855,0.9412887356410129,1.1818012544463663,1.1280083746857807,0.8857028447223433,0.8089823274927083,0.6511865995418632,0.680842202142434,0.6450211698416726,0.61872057800731,0.6108590955941411,0.5955262905143882,0.640085610817445,0.6890809218546998,0.6350453436932428,0.7219921423573841,0.6468387307471155,0.7925180467131268,0.9385903621816221,0.8884449754797261,0.9697628173623012,0.8907705194549725,1.3399947073473455,1.931839446977463,1.4273309193342163,1.4689955820401954,1.3037129324562422,1.2531147743905349,1.1956997704524657,1.0481304835066911,1.1036371067084825,0.9059793518310945,0.8697679672416252,0.7964299873312786,0.7361490891806405,0.7063972597811436,0.6009303813065344,0.578643974629369,0.6138771828559896,0.6229598877095159,0.5715698315045947,0.6246674123738645,0.6693350127164207,0.6302750503278112,0.7170698039595133,0.8125572350370736,0.8501553161133681,0.8397933132234106,1.0563236021708948,1.1821599520972834,1.131871116943539,1.122780261997182,0.9814779290330569,0.820760432325867,0.8574488738371199,0.9169904911748793,1.3733359683847082,1.0757713748449726,1.273445564711598,0.8611287216772189,0.8111389174917141,0.7969104992495578,0.9454049198067167,1.0237734920504167,0.8663131931502153,0.9604334314392688,1.2545528018484309,1.122390852418585,0.9721298762047048,1.3848098020830175,1.4098097860700947,1.1988121507716074,1.2963735856687002,0.8975375723754561,0.9343050928202539,0.873620562041744,0.7766052226575209,0.7952506626786754,0.730738549989992,0.752355337799387,0.6981057945661534,0.7331646253464215,0.6161741836207082,0.6091906880548915,0.5727540876710601,0.5708812207602493,0.6071038016419699,0.5789982860979718,0.6317711943030624,0.6815323287633369,0.9638770176833625,0.7953838234587051,0.771587506520863,0.7349056447432813,0.6800814664371544,0.6344453002622689,0.7463627832472661,0.7381239487762496,0.6651202530249264,0.7278454641260107,0.7857266859822055,0.7726738536801527,0.7409086969326938,0.9121739010173325,1.0750867246249844,0.8351696561786773,0.9827416176243516,1.2066064553805969,1.2764947197343373,1.0945430544645893,0.9004517520461792,1.698617505455126,1.2940936479940384,1.1192719643823152,1.0666130148970052,0.8366395739075873,0.9347084729861536,1.2118176497396391,0.8224799111536187,0.7505537954688792,0.5991531065288799,0.6608723712144462,0.5689194443007576,0.6420952668994595,0.538959636861991,0.5538985024026515,0.5609019481902195,0.5172717076178923,0.6665005311788816,0.5775857902661816,0.518700621963528,0.45683700356583085,0.8405402922667214,0.45068759836817934,0.8029582983975877,0.6734836431964258,1.5286475324129145,1.7458002669699757,2.4838109503772228],[0.5382901691575489,0.5127860085192184,0.7500809972341421,0.4020360175881048,0.6216768042109544,0.5273266409931413,0.44869149712741835,0.47298365770943035,0.47898796385492076,0.4792661717702653,0.5031913347347937,0.5330291297969127,0.49149438505454046,0.5158733637796973,0.5879449464010289,0.529272272603157,0.5750350322201344,0.6080831841147951,0.7345977827873111,0.6935650932700074,0.8579285528539856,0.8318170589396546,1.1488113284724424,1.2221876558032292,1.0789330453685932,0.8652138030167236,0.7099018156803798,0.6055243492980803,0.5850505393247328,0.5294003312788321,0.6035144604877927,0.5140637936022695,0.5447876708893543,0.6061045640215936,0.5546446796721073,0.5928305340200325,0.5440561400666052,0.5951830978466937,0.5869494345752522,0.686428256844543,0.8902306381223947,0.7553147893367849,0.8569437296872329,1.0845586809317125,1.5716500398608975,2.079273042651994,2.454346562336752,1.6328025605969874,1.9471259098226297,2.9561715680208738,1.8062423784694988,1.8438642063989883,1.2023227146284576,1.0754148130923153,1.3001653008600482,1.06536223996799,1.0183592780520698,0.9545147059579955,0.9052318364641276,1.4846700390424692,1.0072308674703554,0.9421776157767049,0.7839156391968594,1.076005388817584,1.022948193541887,0.7729250896116354,0.9080918553385159,0.7197020761270733,0.7748056595480456,0.8494983847801706,0.9381985233439164,1.1887691888698684,0.8957474314377153,1.0016350271610153,0.7975478393436269,1.0989160873910064,0.7380782214326329,0.6938723668595066,0.7010234732014314,0.771009670145383,0.6025734036664466,0.6243519710524792,0.8200834893319057,0.838654911567581,0.6924968711221806,0.5472662487100108,0.5591430176458934,0.5945024308448517,0.6213543464644335,0.6224347365531059,0.6915379119797607,0.8475853826194404,0.7968997139614417,0.6250536655018222,0.5738975286175516,0.6701714390429389,0.7515363324708811,0.5950493442993967,0.5262914371506627,0.5746652005781402,0.48576500215569446,0.5705446057912159,0.5138222779034898,0.5704069508342644,0.6078670281553796,0.584067174797488,0.6912637507975731,0.7995435597760658,0.6568435958024148,0.6563458085867938,0.5675259444914401,0.5081366041158011,0.45690286079447046,0.4539161689129177,0.5249361183693948,0.5902417572075795,0.5839081268010029,0.6473419300350854,0.8091772450327624,0.635295764566553,0.6828035830221615,0.6462239404458046,0.6303228334950697,0.5016137863450244,0.4339267187597873,0.4240668605732866,0.5964864670282215,0.550391762975983,0.5782139803022139,0.6173188288176698,0.7141418805313472,0.7603968914347459,0.8403621639029369,0.7461673359096989,0.7497721031861397,0.6841827088218282,0.7950895860699124,0.6127293474780379,0.5044892623943559,0.5194899252726334,0.6510008294587052,0.9096247108826927,0.6988748389633948,0.564726770321932,0.5817628268773204,0.5762436061309772,0.5690050105853923,0.5332000917314491,0.49068947111627564,0.5005891731054191,0.4989944379947476,0.5472578428582502,0.7769740614890953,1.1151677590022726,0.9310237044934179,0.5423376436902955,0.4892412232306765,0.48005944494670905,0.4914288670870109,0.5299843979786224,0.5341015744457107,0.5205016857371073,0.5927624708731375,0.6427900126819968,0.6721119420789052,0.7499241908945872,0.9138475261518022,1.1598522548772043,1.1192724776936809,0.8796693677885261,0.7911650956435136,0.6370967075389015,0.6581260977453266,0.6161500535087651,0.5788491902909881,0.5900165201962043,0.5712127837302762,0.6296954994925299,0.6481629423096259,0.6125407354576078,0.6902050341487869,0.6388563075095828,0.776068862659024,0.9132948725674542,0.851879836131556,0.9050956128323518,0.8514820779310865,1.3126385834776526,1.9031733019838988,1.390139726015814,1.4513112834507396,1.2435170380463496,1.2328754973637615,1.1919091235553196,1.0488278357871688,1.1120905446021285,0.9313102260538492,0.9016362343919379,0.8295323827286758,0.7420965195763256,0.7429966429668826,0.6114237328087216,0.5813174452567283,0.6350153852717985,0.6402099999941132,0.5770625884179609,0.6234124555382474,0.6831985606590069,0.6545407852215553,0.719901503116049,0.8211725326910452,0.8848695724867255,0.8692543458877287,1.0738263646773805,1.2058730290667121,1.1206714674078373,1.193434665202317,1.0027290832270057,0.8526029715507325,0.9078334154838535,0.9890391678951956,1.4733118688234714,1.14505151634199,1.3148470118041469,0.9145915428143336,0.8647606760702006,0.8601385712948367,0.9793781510868029,1.0693211330472456,0.9073809932419896,1.0014625778793342,1.2926042051385738,1.1879029422382161,1.032548328055829,1.406524750372207,1.5221438114457324,1.255818018669373,1.339090348459781,0.9540517834210381,0.9506472195992042,0.903937141043979,0.8038217283393501,0.7767998807073293,0.7625078143057804,0.762390141872613,0.7150271770717289,0.7296616811357554,0.6272433195816632,0.61864563352987,0.6049001733226544,0.6079114178770157,0.6508071851763926,0.6054588131860882,0.6729052588084721,0.7406206523294255,1.0131077315155999,0.841081300037681,0.8350926075625402,0.7820390882735994,0.7322866928098056,0.6763429055794812,0.7676901955381963,0.7889835777626739,0.6971843988603428,0.7526339482391176,0.8310339149761589,0.8206515398811289,0.7781633538579933,0.9755665549268493,1.1342604060304364,0.8776840879074537,1.0454377550013305,1.2551437777608725,1.325296334548189,1.1337875882936868,0.915531527485235,1.6154579333545103,1.1568507861403827,1.0977893909927203,1.0069968220885965,0.8109042564157644,0.8947267024126089,1.0755619766814177,0.7263534228261037,0.7166816057350222,0.6598063795180074,0.6899741670589141,0.6007692218528327,0.6615654905319603,0.5604194591940963,0.5617066033847469,0.5606931776965762,0.5238936235664795,0.6555692118811529,0.5863402095271841,0.5302272985354326,0.506489187617348,0.8513047626471653,0.4751881984287028,0.8696394365819535,0.6237028678333115,1.4301742466437237,1.5254318157814148,2.2372596693649744],[0.6097454686051175,0.582460929783617,0.8370933745804061,0.39855417420010236,0.6157147854141795,0.5128805113404216,0.41921290301382524,0.4467791182550063,0.44979703851655806,0.4315055814662211,0.4473866228964453,0.4962330266990533,0.4517053818342973,0.45804085539041167,0.5271939182794025,0.5020149665185736,0.5367814475042584,0.5721359518454316,0.7147194791616074,0.6942008131528774,0.8921783352543674,0.876194297590101,1.2278271248250507,1.3114402828133356,1.1447453513762382,0.8933878936690542,0.7361858293575724,0.590012052661716,0.5553721894128786,0.5094324493794469,0.5719785146094288,0.48970992543077835,0.5065390433363324,0.5685725003337126,0.5426580157765796,0.5817996774293879,0.5550189524463456,0.6250684227407186,0.6148048009431252,0.7412828636882663,0.932355030329311,0.7956506829266091,0.9011188453302971,1.1181732660570332,1.5920985895336743,2.1411494721351985,2.5677746466335982,1.736572248184372,1.976153910949781,3.0962720525569405,1.9468014363305113,1.8820811770329062,1.2945930157569996,1.066660455509241,1.276027670812851,1.1719862736826183,1.1151534912693675,0.9755368919409388,0.972118274119286,1.595690737950257,1.0509429235273884,0.9706531296127083,0.8136242237674347,1.0757426975674076,1.0442381832304837,0.8056297104000998,0.9192525124611189,0.7013156662804136,0.7363571814480498,0.8144199683301678,0.8879802051035702,1.1299951367751788,0.8381435819700459,0.9413036513496716,0.7651930497353668,1.0964553534067307,0.7293312068148006,0.691475016440219,0.7168677354399672,0.8005336557387637,0.635047241991185,0.669963157981906,0.8647791509588828,0.9459580805535627,0.743157091605956,0.5884507922513,0.6018447259235221,0.6183569608368382,0.6279482586565307,0.6116269919959769,0.6663985324233009,0.832043436011973,0.7689759049046707,0.5741588147286605,0.526237624331811,0.6155271356263531,0.7058585118574111,0.5450063453519748,0.48171316708057893,0.5315504805940723,0.478530420089848,0.591780227661562,0.5461248725683643,0.5890880982529091,0.6432508249399788,0.6185680810463423,0.7384949558106375,0.8436195417961971,0.6824533545595082,0.6727306960228601,0.5861659143711517,0.5201284653846444,0.4423875180233035,0.4447061761193428,0.5075587375373415,0.5729945575623792,0.5639879379573948,0.6226916723731918,0.7777581405888478,0.6035762193996623,0.6602136747177443,0.6050817458677672,0.5984907125637222,0.44518399511640555,0.3797676827778501,0.4032108868587098,0.6081635312991577,0.5610423153416105,0.6114571781572097,0.6576844275163356,0.7581017100736589,0.8180478822904934,0.8941050140873132,0.8047649639485035,0.7891713897072389,0.6989506983823139,0.7784341085724193,0.6085557027256728,0.48451136794076427,0.515488849408537,0.6275070919335181,0.8702634996795443,0.6772400227198576,0.5633696670827804,0.5882083582124763,0.5673631088545441,0.5538569261391538,0.5034018506751055,0.4948217528195143,0.46981492407662934,0.49607201736812623,0.4911773271798738,0.7646292330174473,1.0317430305186823,0.8639812864335269,0.5164401717981687,0.467021811529431,0.4751204944388374,0.4953175936494685,0.5454717356396565,0.5663970558213677,0.5479672209770113,0.6109049085943967,0.674089529457347,0.7382957957993237,0.7693377825851543,0.9498703680456584,1.1755373186200113,1.1251912467467264,0.8764039638622932,0.8065495229974426,0.6543962732762164,0.6950739247085834,0.6615099819735049,0.633906319320916,0.622732632997382,0.5996845904629438,0.6700379413121855,0.6991794102803361,0.6827964424650694,0.7608502251543604,0.6736988958606887,0.8289411685754543,0.9883250602937562,0.9176047346247317,0.990975533642521,0.8998933223835237,1.4364195294817037,1.8871907121572062,1.4509706216801603,1.495957250709268,1.2657304114523833,1.2615047781682835,1.2260906004639391,1.106413927586177,1.1834990392837148,0.9509592578507243,0.94410493852523,0.8578402353039843,0.7763248468926375,0.7776399119232663,0.650194290198875,0.6177562539029195,0.6618962333600023,0.6820623138646713,0.6172667737982618,0.6656674387754951,0.7252222742429704,0.6933245455762336,0.7565063867334872,0.856910505322255,0.9171236021327857,0.8977957591505248,1.1033356243297663,1.2424143242852084,1.1804971822747334,1.2025534551445538,1.0435419857642088,0.883889587937185,0.9412395041773273,1.0218498856003932,1.6137933557761293,1.1577083998215483,1.2878372629123607,0.9560518825340781,0.9152609780954751,0.8888286754951408,1.048400772117083,1.1296149568022524,0.9523100446892542,1.0496341421125,1.3773252442901864,1.2274141717068248,1.0693667441661705,1.4602626691274485,1.5621072571584056,1.290513788647721,1.3264652822746696,0.9826296278091846,1.0045545975059758,0.9654009219440488,0.843069375606619,0.8337365366676799,0.7933702250650627,0.7918718688618249,0.7434365643282607,0.7865046517717462,0.6647569721453117,0.6503829963673037,0.6370407336867571,0.6365576845599992,0.6663585825638813,0.6379286805015916,0.7047788483566949,0.760503472913031,1.005952147246275,0.8779577498027988,0.8797220604004787,0.8268113988620394,0.7795092025489121,0.7109816687619557,0.8220754874666436,0.8397435734318627,0.7409447154971083,0.7990921952099457,0.8771227457107215,0.8558135954241473,0.8088060317951905,1.0146101504624723,1.1613531442124088,0.8929507904999069,1.048577231163238,1.298782805207562,1.325604893954668,1.1422775289865745,0.9141017009546635,1.6402368130001135,1.1647902721367132,1.15598577322157,1.0776864361571088,0.8502024190839473,0.9501886849518605,1.1668968269252369,0.8056329603155767,0.7295605722423544,0.6183696103886983,0.671178726674095,0.6085159419483754,0.6931886661076833,0.5795462576343346,0.6021585034697616,0.6011735167218518,0.5868886810235585,0.6722005122358063,0.609534691724528,0.5902820463312474,0.5521680112042511,0.8495162648455779,0.5309856054979981,0.9119934515163062,0.6804688195879902,1.3793743356278878,1.4784666343345285,2.236863579030718],[0.6281088005394238,0.617092074528417,0.8786196509387559,0.42563695046480704,0.639399499435957,0.5459076287998799,0.4639367583401493,0.49047094401355096,0.4931773407282618,0.4636108427303692,0.4709185930140229,0.5307377253342465,0.48329584206165843,0.47658537380047916,0.5443198548543167,0.5413455066481317,0.5774814243584371,0.6023052299241449,0.7469086601521151,0.7355323248404949,0.9316364345467057,0.9142982405515604,1.2910653851898148,1.3708240996493357,1.2089068498227296,0.9364623711185647,0.7796973868753508,0.6358311556220876,0.5964359920639364,0.5639977983220321,0.6050695226871092,0.5369317831721947,0.5487745446669843,0.6088388699172465,0.5905913947104797,0.6289082682288218,0.6101363015740203,0.6705948514465023,0.6637788988796797,0.779697641050734,0.9723287244620491,0.8416237095965889,0.9353040618310596,1.1556850262415999,1.6428512604672842,2.250524261867008,2.657284757177331,1.8046862707878257,2.04428515333602,3.2117725527262,2.0142610360816877,1.9173117458206623,1.3282634019655202,1.093142478396671,1.3008391407110822,1.2006730599357411,1.155873373270794,1.0076025117178689,1.0020677190974963,1.6066780607096993,1.0826168166738175,1.0029532372709968,0.8546796284631957,1.0849567787097787,1.0725598924826771,0.8527148827969596,0.9388866951571354,0.7312466541489353,0.752279732053707,0.8157033571202468,0.8862071548338323,1.1147516756049216,0.8340591031165674,0.9337699720664959,0.7844477892896173,1.0810184778425853,0.7642120822033499,0.7324332878246029,0.7601869130592324,0.8420085854280326,0.6853303465824927,0.7138665979320518,0.9069539213004022,0.976857888843373,0.7793367062563589,0.639307325690711,0.6535081638186403,0.6582711495613717,0.6769914380516782,0.657963325988599,0.7013220725637161,0.8372196296852008,0.7794314445965229,0.5938958393938363,0.5541065947596251,0.6234322071638845,0.7161784093733633,0.5809622709544601,0.5179745468821366,0.5578230398571571,0.5267851753501608,0.639862228139221,0.5931183068564279,0.6344834809288576,0.6814752226585757,0.6582703793621177,0.7703485267349767,0.8674226330085011,0.7082772701226897,0.6969211377082093,0.6148474319224323,0.5527854484905773,0.4899542217119237,0.4939458505842857,0.5512501026781964,0.6098021446016274,0.6088782463350032,0.6603358516555804,0.7962935156559331,0.6367279432501709,0.6816850978230873,0.6292123956264378,0.6292280819671773,0.4717187560474962,0.4136235558418463,0.44774180208031666,0.6336195764528915,0.5955805041787572,0.6424896805168449,0.685833761590598,0.7799206192795001,0.8378049714058815,0.9110077752652312,0.8286981107706065,0.8125508001500591,0.7284694893206618,0.7917212484719243,0.6377763576798229,0.5257875708831958,0.5590435243198847,0.6653256818953913,0.881324042930516,0.7026399646437133,0.6092140277194706,0.6367560573416057,0.619354868877514,0.6021758667093117,0.5462675822051563,0.544589464627188,0.5131766892165356,0.5356303413929048,0.5205759242930524,0.8034876232899394,1.0186746333479213,0.8511779489457988,0.5589721298663438,0.5103625196630376,0.5209547780203393,0.5431524244626669,0.5874184553417168,0.6094330489063505,0.602865056079405,0.6577632545471493,0.7114985814530043,0.7702549072494432,0.7958306068538985,0.9630831798576387,1.1759927920270945,1.1336300536104662,0.8952589565715754,0.8257845750245981,0.6865650133600361,0.7278069010336551,0.6977841010568043,0.6765598269098096,0.6662812041921576,0.6378969630415467,0.7226255906279364,0.7386221341868547,0.7289760452644248,0.7950148143937924,0.7082350443604188,0.850954551337497,1.0013019027120231,0.9341881734460743,1.0065681215809248,0.9244533063553081,1.457450947721874,1.880347211444441,1.4340774569814012,1.4627988674165036,1.2433365903021258,1.259874451115606,1.2353155124045436,1.1141647992547747,1.1795901637592718,0.9577683842875166,0.948263764016804,0.860433080027591,0.7873852621657409,0.7856528157839012,0.6742585104483112,0.6440403551048479,0.6794514121453917,0.7031773684916508,0.6509001961567487,0.699674303959731,0.7501050469036599,0.7162311192436139,0.7931590917072812,0.8892441437289165,0.9331937933421272,0.9163668815646204,1.1289251697368148,1.263273080592189,1.2173224004111647,1.1881264293212235,1.0576563781036301,0.8940864344114587,0.9374943082940411,1.0014545835226378,1.5399980118496865,1.1431622603394977,1.2684988418814114,0.9324574748058855,0.8992079559429585,0.880102675496257,1.0393586917619775,1.11611886286503,0.9451114455410565,1.0417931417226851,1.3591725836694735,1.2073190141037742,1.0532618213652398,1.450091455316794,1.5220140848864598,1.2755973217387957,1.31674260815779,0.977553430391946,1.0089791276525724,0.9673218584318977,0.8485131597432722,0.852929061352763,0.8071767667133853,0.8086172486936027,0.7612979301580757,0.8085325931372476,0.6868145008968185,0.6762623475070426,0.6563075260762516,0.6542438842101058,0.6848343582467847,0.6622146376172094,0.7154569917837782,0.7617520959301722,1.0134317986886894,0.8862745752477851,0.8770574569370553,0.8307883444433286,0.7792194747476678,0.7158337347542276,0.8346026015950491,0.8356615260266055,0.7507621574929244,0.8036671448307745,0.87207299936248,0.8515365807376872,0.8083206667264825,0.9873252082165141,1.134547147051674,0.881964039786539,1.026132265427546,1.273497224631992,1.3045098719586523,1.1278769603794396,0.9233108963056031,1.7059145539750233,1.2738347901883338,1.198197304137238,1.1433555797489983,0.8950746840167031,1.0050016321509094,1.273715987562799,0.8995484303796095,0.7935999361144462,0.623315090880198,0.6789908061489281,0.6215139113553176,0.7094500980011793,0.6048161926763197,0.6343653012921159,0.6370725854672258,0.6266456029734182,0.7023998426372,0.6367409558109159,0.6266659773437238,0.5735871719575129,0.8505794288447807,0.5611678209214802,0.8913627452477789,0.7121688984655681,1.4451754954033689,1.5888938770100167,2.3679950124741103],[0.6194582174027671,0.589700965462879,0.8079103531827968,0.423469617818845,0.6428504158866962,0.5496826181095071,0.45704619273166047,0.47597629871922226,0.47550527882674165,0.4311664124915806,0.4285466350050719,0.4914211092458608,0.43526292722546933,0.4203238928674465,0.47644387030472846,0.47273811136620586,0.510828732854524,0.520242707685797,0.6560805589215241,0.6403659237620355,0.8112561474003873,0.8020728830257237,1.1510113648506113,1.2348801000933673,1.1088398205058194,0.8425601729930702,0.7058849904118382,0.5565302059048125,0.5258418687233403,0.49448098691152187,0.531817150322461,0.4738786472178577,0.48443561032441473,0.5383259420337105,0.514587564660434,0.5508715791016786,0.5351230489054559,0.5890783004813788,0.5953759577339833,0.6966986483378231,0.9300848025925934,0.7671059218942952,0.8487454092928697,1.0872824374369894,1.5759364643473077,2.2467391502394634,2.571736869102277,1.72375743551001,2.109185283290968,3.226112396977599,1.95931668099771,1.9141575975116434,1.2472845145176412,1.060357928371372,1.3106787657358936,1.0933661279034916,1.0625468892391752,0.9239285966630928,0.9039602330040656,1.4942932072165163,0.9737120786573377,0.8889559225738597,0.7435148827017007,0.9623694840922191,0.9521797323526382,0.7448872286184924,0.8186501242352625,0.6283798383619775,0.6725003968202662,0.7470366414963634,0.8150736037107563,1.0371403362964915,0.7670140308089394,0.8794753194553944,0.6862003852689544,0.9977522709028425,0.6645965183145593,0.6276137870814359,0.6628518443273088,0.7469399310094421,0.607996652671276,0.6252881919900043,0.861045353617643,0.847773257374001,0.6880817480126612,0.5610081491334207,0.5658745091193321,0.5881412503913106,0.5872590502426734,0.5864458574267705,0.6184730985791583,0.7545825733696118,0.7030197542327021,0.5210152759142347,0.49321922801161466,0.5644447820875719,0.6687773751999322,0.5291622615201742,0.4694550676730827,0.545162495820396,0.482433828581017,0.6136235969994933,0.5321832631968609,0.5998545170311373,0.6428372738871047,0.6209523909238753,0.7351844465675592,0.8261205019381757,0.6899498286159735,0.688330438952748,0.6104201878912182,0.5336472074886986,0.46992809562448606,0.46156906025477196,0.49947624338662233,0.5671344021297374,0.5519540465971695,0.5968292032594682,0.7128903210345091,0.5636930225224039,0.6150918869669112,0.5843724502155243,0.5881210330430493,0.4475558690106607,0.39858964945651093,0.4334869308786165,0.6581276115404674,0.5798652894846131,0.6217819106264332,0.6509661974876564,0.7584096128629126,0.7918001488849306,0.8454662022643945,0.7658966053891574,0.7670100154093221,0.7181739399015368,0.8140714697535357,0.6232720826683558,0.4973100396085318,0.5257689392591696,0.6246365652324127,0.8197834144471144,0.6270212766847948,0.5469633011510484,0.5758094604042718,0.5645351763458194,0.5580221791736442,0.5085552767593542,0.5064229321636129,0.4890077302067199,0.5245636061840916,0.5177340125721612,0.7890885386763697,1.058763616241016,0.8777671432231999,0.5317998778767664,0.47426079621434064,0.5021681729092903,0.49735834518196503,0.5520066632487795,0.5661950274149347,0.5425739280090521,0.6077382966004184,0.6348271370498477,0.7015627537472028,0.7496044652402607,0.9013543962449743,1.1101174001188543,1.1013885253132167,0.8942518557749028,0.7945908554191943,0.6600842244636625,0.6796059029571995,0.6384504241953265,0.6103081559285822,0.6088226341933546,0.577900611258191,0.6603825322631535,0.6610514855085359,0.6624246608763127,0.7404649195156413,0.6593635440637668,0.7847808789791803,0.9144317589299753,0.8559555452878579,0.9100083638325318,0.8704767809400111,1.3737279453439295,1.8718174571976194,1.311765676453934,1.3193401325425027,1.1230856343582223,1.1722416969333855,1.167439347352096,1.0355255664655032,1.103535307741853,0.9394668398774452,0.9273929647239181,0.854254807301342,0.7704024345585789,0.7510234326345309,0.6240111080181576,0.6028014843340969,0.6364362760134894,0.642901442004619,0.5864364135422648,0.622706524430588,0.6741955933423581,0.6557185915136904,0.7302109946066023,0.8230562486584135,0.8849860332304286,0.8805764495531783,1.1000628152723027,1.2162625476524314,1.1346941015946441,1.16485182511437,0.978032266688374,0.8246116643286819,0.87833539369991,0.96174420280227,1.473768538519329,1.1269637534933943,1.2950737828247818,0.9041773999514683,0.8590143083285088,0.858792941994997,0.9758036420270626,1.0635718953984445,0.9022470585589014,1.0122263426386158,1.2895837942640909,1.1883205952789164,1.0454202445233527,1.3853404548111898,1.5510289458397672,1.2620614326198296,1.3580574408127566,0.9660312325849546,0.9760215108164322,0.9207744926544765,0.8060897984748586,0.7867030365081296,0.7724354400926017,0.766731083889366,0.7223891924286591,0.7267427076624217,0.6391648161199088,0.6350254164954772,0.6172321205590281,0.6195634504395623,0.6646502704100689,0.623459138067345,0.676111435964981,0.7433497953772943,1.0175779685455217,0.8455475214769019,0.8374538794792896,0.7757985643610541,0.7249554284333555,0.6707007338694769,0.7540153079384865,0.7700216450432201,0.683623628623533,0.7438837869903903,0.8065925941990046,0.7927667069074572,0.759944647807135,0.9624396835343554,1.1182124811057574,0.8550374229744336,1.0428985867236484,1.232583527349674,1.309375882231665,1.1082111706862063,0.8804703610155339,1.5927856281305257,1.1422483727903112,1.0819859074806881,1.0138478865685596,0.7948854589267695,0.9150018632401438,1.1251459201578842,0.7262486894966729,0.6702698718950452,0.6386180694748576,0.6732065958144787,0.6165397830779518,0.6953485740669015,0.5988136082952201,0.6027533329188433,0.6034086671792013,0.5692062099192957,0.6667021237852346,0.6186414800307821,0.5799395055861322,0.5552347447307072,0.8331094855690295,0.5367827505202597,0.9013501035171277,0.6748117506153685,1.3774006302422794,1.4161800960547684,2.1960079170792355],[0.7555159326675841,0.6947678309722602,0.9047805981381467,0.4881267653427436,0.6855712683425201,0.5632825668845658,0.4750202304880803,0.49028387851535,0.48681295884871734,0.4431252953260577,0.4412212528830796,0.48003853823502385,0.4416585818457745,0.45064991829764256,0.5056837273426068,0.48634955678093783,0.5383982542028665,0.5519886636147997,0.6912462065208701,0.6691619171617952,0.8479008562061053,0.8487782974999127,1.1936901780116036,1.2810349882984424,1.136126463862643,0.8691937863001503,0.7327123153991747,0.5866803813916923,0.5523505771251142,0.5126149251338267,0.5492725730471214,0.48405076807539427,0.48711794307043116,0.5487416159297513,0.5317446084847244,0.5729244240310315,0.5625650137049297,0.6235906796384391,0.6303701229096037,0.7511870133910358,0.953879419187688,0.7966551998811126,0.888387204271417,1.1228966253204542,1.5991924813824858,2.2045678664921238,2.5962894175048956,1.7529827501651825,2.0391875503314534,3.2046992639255136,2.002817739647153,1.9199145299805946,1.31251551098951,1.0874143111275867,1.3224938405161135,1.164133890744771,1.1067134843985624,0.9641228065668713,0.9517246745003597,1.5499654900771143,1.0079874480608275,0.9210161342811518,0.7750190741860429,1.0121310187095132,0.9934033397071504,0.7732759214974604,0.8534885311607868,0.6587252883827877,0.7035370653291608,0.7838503352399194,0.8533903421149247,1.0843231425641704,0.8106476866670534,0.9288413335731265,0.720038748669281,1.048042313839323,0.7013348284535303,0.6591635149875719,0.6976225853512185,0.7876474592114839,0.6452624525028557,0.6829656170940062,0.9069419155854297,0.9431215922644013,0.7567816016635576,0.610448849785917,0.6102204230097686,0.6056180098135509,0.6210894655010228,0.6089773117105265,0.6412573006964656,0.7904098542101167,0.7263692613237356,0.5439041463696449,0.5104393756051511,0.5724848095724169,0.6907015847640099,0.5236618144961777,0.4624819600968188,0.5417908046812285,0.49788264686074524,0.6549869590019206,0.57175628294363,0.6509902035541826,0.7187734796799348,0.6936870154486094,0.833588554149421,0.9459073706203479,0.7879084249385441,0.7528563323183218,0.6613597408540837,0.5743768902965624,0.49197402089714926,0.4877574801879267,0.5114444427529641,0.5888860279783696,0.5765924833284554,0.6269169450751049,0.7602239901018407,0.5969425665134241,0.654911392484743,0.6154729356533358,0.6203350850614282,0.4731236128542655,0.4262526485941071,0.45675426796501145,0.6936453363027861,0.6150902757831859,0.6946640752371909,0.7365534056098558,0.8551846207406322,0.9110629923402765,0.9559692611609345,0.8618983731367597,0.8491870448533,0.7631587579388875,0.8518438446536423,0.6563042221726523,0.5161674624513685,0.549788303555215,0.6496323759380478,0.8686679325015637,0.669947160415339,0.5776845933591052,0.607655440666521,0.5832407369932203,0.570197579518377,0.5234906152622406,0.5398233005814751,0.49675551599118883,0.5606963562343895,0.5174665055265785,0.7912226487039595,1.0493463279854234,0.8811036407327658,0.5432796917245053,0.4844559470080511,0.5319571642142096,0.5224086669479938,0.6007524724310954,0.6178546340977483,0.581167018335591,0.6440132846181897,0.6928568715476169,0.7756904946428544,0.8127363241653707,0.9894001167461299,1.2036284869246137,1.1794048636424699,0.9423824430425469,0.8606074572738605,0.7149910800309385,0.745303914190729,0.7053968013393539,0.6728605284382366,0.6625321600993539,0.6112735870265659,0.7068878665975384,0.7274590467300599,0.7357322046617459,0.8195062747086385,0.7328976095755336,0.887465679456329,1.035422182691604,0.9583158371662963,1.0070424314114765,0.9192635618989382,1.460636527456554,1.876068372767473,1.4290596568187528,1.4550120623232523,1.2157462946534974,1.2691032998164427,1.266942221597643,1.1639229625474194,1.248578319518826,1.0387829614567383,1.052490994531624,0.9750432664917301,0.8633621837781317,0.8966719563997586,0.7483911834812033,0.7104014299411795,0.7666784857776969,0.786616654697085,0.7004647536310986,0.7324914547564123,0.8085845665333977,0.7790806307260566,0.8137929583256789,0.9123775940913489,0.9913731043479037,0.9723730937594957,1.1480900749507592,1.2982564393896063,1.2128650648603487,1.2840429011694963,1.0985702800132502,0.9628272411286429,1.0287508094149853,1.1396876618894,1.7779291552360341,1.2727724025806726,1.3749549098389386,1.0683910343297245,1.0524466030703443,1.0217759302839398,1.164224130887169,1.2536885422535344,1.067761099171099,1.1634594210929186,1.505122102246484,1.377516176789166,1.2115102739560235,1.552945325900048,1.745076213843575,1.4293712298611694,1.4632951951818316,1.1144803616699221,1.1072656015131017,1.079776877695874,0.9493904280721974,0.9116499293586445,0.8930854899200761,0.8778550137888061,0.839766516025693,0.8686219741748618,0.7796219205345513,0.7512782984260323,0.7510216056634791,0.7538861667710592,0.7759656409645339,0.7443040029718911,0.8087516486990995,0.8718702158094901,1.0896570228516131,0.9667242429043327,0.9813041366603183,0.920578914791176,0.8791964041455462,0.8150091241989457,0.922305883349652,0.9356232949496195,0.836753535609287,0.9098251510824404,0.9803195975592424,0.9442440093165548,0.9163377717828703,1.1464293443674196,1.266026677805522,0.9983552035497567,1.1788232027170156,1.414639410710059,1.4306762185981223,1.2456523592852986,1.0007970772513384,1.5989256086435977,1.1337996805484398,1.1808928521358746,1.0773925214619247,0.887178813501677,0.971434313731594,1.124101190592617,0.7897041774402165,0.7640326319175528,0.7279189603185743,0.773819759911747,0.7104767652339035,0.7932634930002382,0.6736447455173598,0.6912970859780391,0.6934190822179104,0.6923238015973292,0.7447687969989625,0.6897353316184615,0.6910036987813434,0.6805502112742547,0.8926146795009536,0.6424486294550047,1.0244356777550714,0.7942533827251431,1.26729078305536,1.2649174408828536,2.058692769255288],[0.9149436547747732,0.8676709845369698,1.0748958558236954,0.652677871975421,0.8517244259167086,0.750423181955056,0.6499423969099781,0.6895161902957209,0.6357259086469951,0.5794001921676594,0.5680846811833618,0.6455419113986773,0.6003931125301896,0.5403720872998242,0.5950478793231078,0.6417501009504538,0.6658565132541598,0.6728967717817365,0.7831695597050266,0.8156000918000176,1.0004906655816637,0.9938092793767475,1.3942403575841105,1.4748306158065194,1.3121956242777237,1.005105529159803,0.8692718271163964,0.7382532682698533,0.7093058495032277,0.6952526068647659,0.6982767349319499,0.6832802715542107,0.6752221920878704,0.7237980589803431,0.7244902487189473,0.7486241019591462,0.7732025294164445,0.8236039089990115,0.8294704759503891,0.9440113738266296,1.0943775277980763,0.9514795219029935,1.045328152176546,1.2572625485232027,1.710236305759029,2.3669723279484547,2.7765091307529057,1.9152514557037448,2.1334999333385505,3.393954564074544,2.17432190217776,1.9981221430182579,1.4582410759045084,1.2104986680931753,1.4391455415211518,1.3063863027856495,1.2458666610778963,1.119284765155294,1.1084643124828673,1.6167691184789716,1.1372874049749553,1.055084269720084,0.9256482629782716,1.103855350920491,1.1271905224818053,0.9459416249651607,0.9804998822766778,0.7864706453952519,0.7832238913915899,0.8474313915763297,0.8976856093894775,1.1024493518776943,0.8475089394301653,0.9549167725134791,0.8174735749581264,1.0916990000019513,0.8435729678214012,0.8237906097339114,0.8536540778806598,0.9403620496185318,0.8570557850938835,0.8928384638178457,1.0995588383485473,1.1214914421823552,0.9460058171556194,0.8364146817334812,0.8121925047715046,0.7854976972765451,0.7930397229128294,0.7703602821315174,0.7928338555435661,0.873836575672076,0.8309543178323439,0.6662266247477947,0.6402143899007807,0.6667098037754517,0.7571034760021365,0.6822543719122006,0.6554403652788546,0.7357137349393964,0.7242860800825216,0.8778582038717077,0.8048867193267766,0.894535798431566,0.9702390127930274,0.9386570865308993,1.083578980688572,1.1747554262299627,1.0277127349826003,1.0063591165986994,0.8894513144242455,0.8131741512394377,0.6964161116016867,0.6805286958400197,0.6541741945873933,0.6905297315863089,0.6953817667104294,0.7334242450627346,0.8262271782646334,0.6842310700894797,0.6979610167921313,0.6729547832927852,0.6770163621649656,0.5615059469137854,0.5511606924131811,0.6390545396188495,0.8684122613692847,0.8450710632590729,0.932016801235716,0.9846820364883971,1.0862939453576737,1.1503806525097686,1.1898945039846505,1.1142600871339057,1.072594095185161,0.9665942402424892,1.0158188496498488,0.8307856388634098,0.6761656703444404,0.7183663669137845,0.7737837118155805,0.9634763178974953,0.7913029943631795,0.7285270143917599,0.7827001947667293,0.7655361503138811,0.744795157565087,0.7019254831196838,0.7520620584908219,0.7143128926655138,0.7863904807112951,0.7203439174819785,0.9907920870073853,1.169290098520654,0.9855277562192423,0.7683544234517751,0.7134769476518521,0.7673191901525989,0.7415000569675537,0.8273240117295921,0.8367160335019183,0.7953244336414051,0.8431161778725859,0.9052637314481059,0.9717431429932213,0.9910317674101028,1.1514519819747964,1.3196010944619245,1.3094402583952296,1.0784825021665763,1.0368894225559724,0.9029070442928796,0.9533574172533524,0.9278565651408983,0.8986954482436839,0.9054164593259644,0.822200515266559,0.96860064006962,0.9580274605314373,0.98874887617194,1.025781824665575,0.9733733998909468,1.1216930378138452,1.2701849506958258,1.1718593677920612,1.1809633851622592,1.0736939173246047,1.6659809270389543,1.898562651035795,1.5567715635596762,1.5846443361454585,1.3394851649096857,1.4143021226952275,1.4454664067609961,1.3806109085837739,1.4679631053466433,1.229628229872643,1.2656580582670787,1.1898514405973055,1.0976522422259292,1.1287109075252313,1.0020828051186788,0.96165273012098,1.0106849879835273,1.0407843911762649,0.963759863188928,0.9777958241870706,1.0549263407687026,1.0184112372893634,1.0287082397560932,1.1200089023616724,1.1775809036660554,1.1257833037609462,1.2954965740952598,1.417921207232566,1.3764306817518166,1.3868054091394066,1.2673862090895216,1.1729152117019326,1.2117669104202804,1.2929260576294175,1.91769954506495,1.4038809315729672,1.484318859150078,1.2602196006964994,1.2395376907360327,1.2132450705718472,1.3818869538705716,1.4344503600076015,1.2695890125105547,1.3859337021255265,1.6930272410677176,1.5328048812594064,1.3925170399403541,1.6835272095903213,1.8374830531722697,1.5802619360585697,1.5664409846623044,1.3208564015019901,1.3244656082358286,1.3259671557152501,1.1900479854798942,1.173659932946838,1.1577479090631844,1.133974960497744,1.1019261514468663,1.146221881874629,1.040638866237279,1.01321668004975,1.0087131773603202,0.9989299392149061,0.9886454186139803,0.9675697508187806,1.034263168293787,1.0487283717539027,1.1973599546783202,1.1347262068564217,1.1647926999898515,1.1332992686825911,1.1230528864186016,1.060095357326728,1.1786084134639816,1.1795347545439676,1.0843651904205978,1.1514142125839562,1.2082139728835446,1.1779138565559342,1.1413468255221377,1.3083492440316404,1.4145040657574417,1.1809460140257249,1.3087686541854318,1.5335618262673483,1.5211138453079613,1.3607428387163059,1.1656685553354331,1.7207065521258598,1.3495256763208894,1.3950957575989837,1.3533888947926,1.1277597375746784,1.2055914459273631,1.420728345140406,1.102137353473519,1.0291612271082518,0.9623840947027584,0.9838169338088234,0.9373315093949781,1.0244766036830226,0.9048259909406065,0.9020155825928634,0.9230423085281023,0.9396736444096526,0.9615410576422648,0.9140699275671146,0.9238802667787017,0.9026075076997115,1.0288593636183823,0.8614952464141002,1.1867410772644351,0.9680501386154626,1.4536899250268922,1.4547100770312915,2.3047137583222304],[0.8519306954773234,0.802909740220444,1.004892743091139,0.6005559132434838,0.7791897051059946,0.6724075818655527,0.5844421766325538,0.6076180178341275,0.5951043907341049,0.5479510723224715,0.5417720143162322,0.612441147161459,0.5497819420703461,0.5250577185348396,0.5737453330242142,0.605052095444626,0.6273470542095574,0.6258663527990601,0.7343785696817403,0.7381854367471127,0.9010493877980372,0.8871418901442166,1.2942751715897132,1.3628954765434098,1.231255395053839,0.9321648064364625,0.8141351807756796,0.6644260543778522,0.6364529591514029,0.627909962627494,0.6286105768213073,0.6170675354850377,0.6185180850636702,0.6547363448348958,0.6494444979999372,0.679881092411836,0.6825408993976672,0.701121651476816,0.7182534961770328,0.8243988408466599,1.0299147485331395,0.8740071964027583,0.9459368262615764,1.1775700289818114,1.671892758316065,2.420282040446552,2.768014799225257,1.8842229784696025,2.222953964224699,3.4638474713923064,2.145073031560918,2.0062491731101333,1.3467902325238756,1.123198434808697,1.3670329545538875,1.1908938834963676,1.1667697669349106,1.013874128174433,1.0134213685436515,1.5536175398728354,1.0342263802834386,0.9756374145253672,0.8458883461649307,0.9940679877722729,1.0232408722633688,0.8535534603121437,0.889429612300267,0.7059207206506887,0.7244678945574818,0.7780006963076332,0.8456309367229816,1.0594585971122852,0.7839563398336955,0.8769737683002324,0.7474602102633425,0.9975708753125635,0.756480779647053,0.7363119962092438,0.7619387963769726,0.8500372578036655,0.741448854963298,0.7574279558223093,0.9620013316507544,0.9653505016654279,0.8066467340424244,0.7014459243227524,0.6950932446310217,0.7096539723356441,0.705185831728933,0.6997744929904348,0.7127457901062653,0.7903865811546927,0.7574166991008526,0.5957345948264043,0.5890226835289893,0.633627264849678,0.7394597900877098,0.6354374202993516,0.596363090314286,0.6653441936824779,0.6436948807113627,0.7683158608288225,0.6931610208568943,0.7474180480739085,0.7930434282259243,0.7701716626544804,0.8765905625272257,0.96100372274116,0.822828220304118,0.8124355986789326,0.7389412145455093,0.6817644601722433,0.6085965366161178,0.5991864669582647,0.6176317156477414,0.6489911990653895,0.6541000332283782,0.671970310496959,0.7464072405644295,0.6494196544811145,0.6635690947194042,0.6426374791953757,0.6409119583057107,0.5438536296212784,0.5189711685794968,0.5649749856244238,0.7928462876439283,0.7181419777657786,0.7663113662664041,0.8049960365956326,0.8905857220957377,0.9174830064570166,0.9634607192261518,0.8917397848733692,0.8908415775563434,0.833286314310149,0.8931506280584997,0.7210355291192696,0.6007857803916377,0.6469432282011407,0.6964017620311311,0.8587323363791423,0.6942617269713309,0.6535705844942831,0.7082021445513053,0.6814679671458198,0.6758788848450112,0.6280775997144328,0.6641823754173978,0.6304348617865235,0.6808906401614134,0.6313993659457999,0.8768948000348024,1.099750846700825,0.9257726027838299,0.669481043505052,0.6304332274097313,0.6640957256002029,0.6534988211022267,0.7033742876540389,0.7236976319763849,0.6906908458687403,0.7289849410096892,0.7623143678309969,0.846005752415583,0.8516833639720595,1.0024748246928277,1.1745861854415431,1.165765887585812,0.9780654378816375,0.8911434646182247,0.7825104756210692,0.8067447518829116,0.7729347298515246,0.7546505406020468,0.740990149228494,0.7006396452166198,0.8057268712201191,0.8145515716848114,0.8286553386940329,0.8955565390539051,0.7919139101934108,0.9097747753553117,1.0354077999516114,0.9788444326444177,1.0390708862607003,0.9837678290086005,1.5467469038807493,1.8507145694089207,1.360503108247317,1.3417222565806055,1.1252428799891117,1.2112589743092679,1.2269316953568754,1.1273877795811085,1.2000660916343022,1.0254470147411305,1.0252146924716408,0.9327391952527702,0.8582514195243572,0.8586761825808921,0.7477509223238631,0.7253486033544241,0.7423720283255064,0.769132263752215,0.7304757059792983,0.7700998933830814,0.8214487009981148,0.8028642770010953,0.8882610531885006,0.9841846657222616,1.033387731428324,1.0170680754318997,1.2236323994979206,1.3500606255430105,1.2942141407149066,1.269865860813371,1.1142805371085658,0.9548306757026603,1.0023627113814986,1.0443086008396811,1.6196689798957302,1.172264535966065,1.3192631436099673,0.9809972770776074,0.9403596529623841,0.9372927890198381,1.0588618269995251,1.1352444373997932,0.9737847833840402,1.0956505072856946,1.3926754328363216,1.2625716851493831,1.1217106665408147,1.4586781920994285,1.623306674552614,1.3236518785041287,1.4127134064706925,1.040391159476719,1.0671001567059328,1.0249652761722203,0.9080320544405468,0.8895631243729051,0.8803345031505536,0.8711519217343603,0.8308411210945411,0.8865298609722955,0.7862168420900472,0.774272510720563,0.7589723474656191,0.7626600011006676,0.7848246169482512,0.76302417059169,0.8180569953118039,0.8610942999938507,1.0787719591673308,0.9728305165565416,0.9706371710952875,0.9120563943842153,0.8557564924258522,0.79452207842503,0.8792859112273212,0.8901234336004943,0.8153585919917051,0.8510453863102615,0.9075892975985886,0.8920829113198426,0.8454875039663684,1.017698094740198,1.1527668932932984,0.9092493244731115,1.0612491231470023,1.2803211766248386,1.3205413464822575,1.1410786207460861,0.9419605550551926,1.6757939404842022,1.2705901388839884,1.2588662653203235,1.2534240508719983,0.9690878013463147,1.1095531647222285,1.3916268075522522,0.9805937158033269,0.828537450406783,0.6556078782820195,0.7078515021260019,0.7199733768444687,0.7983537214277304,0.7357261742357639,0.7330337511713286,0.7331082848030114,0.7404580050974513,0.8037142114034717,0.7573145054865839,0.7726444114950987,0.7526591133108617,0.9268814348622839,0.7548899123031287,1.0883077170295967,0.8678890278498177,1.3933709418932139,1.4459685648489053,2.2710347571304914],[0.832127428646317,0.7634966613246575,0.9540917385965322,0.5867015742218765,0.7998680346408027,0.6783520475261061,0.5851834093734697,0.6020878880407985,0.5795638973665485,0.5289729750367875,0.5119828260450668,0.595839163987107,0.5218759401901093,0.4943913945651292,0.5306505557808893,0.5548841782510093,0.5902063258585359,0.5853311761965502,0.7139652995586661,0.6861640389501429,0.8360668138136064,0.8438403578601449,1.2025536773772532,1.2861073588103968,1.1780003188403978,0.8955866201281528,0.7946465543765151,0.624445878226972,0.601332911806249,0.5933684367713284,0.5722629951136106,0.5882194631871229,0.5983337447044295,0.6042078396641459,0.6204297671584661,0.6388293964359035,0.6588756000385081,0.6686716177547075,0.6966925799883266,0.8285477120237079,1.0418327742751154,0.8560492856680312,0.9392793965909804,1.1595800652854702,1.6420699558226242,2.385978384858154,2.7080005805802028,1.8580332261288734,2.285486454403131,3.4656493612381585,2.14614096157851,2.064829292090022,1.339996513836122,1.1275509043117624,1.3606004595496493,1.1769151836095233,1.1669969840334857,1.006885615665227,1.0001998867321575,1.5615936737690064,1.0127889204955174,0.9265877212979122,0.7961035429211527,0.9641298710643789,0.957955611055744,0.7951367855577499,0.8364948810096776,0.6471555078491726,0.6917963008421478,0.726402614936394,0.799308097213318,1.0285719074957085,0.754314662202484,0.8315452171797568,0.6937216622731442,0.9931930161230221,0.6992379482411369,0.6754397104775814,0.7192844279160073,0.8166460042391153,0.7304691900130872,0.7504732491812723,0.9596199872933663,0.9654792938783419,0.8202645201128298,0.7005229454052562,0.6750837580456374,0.7200535144180001,0.6673378354344652,0.6580197445980028,0.65027182382932,0.7525381195394851,0.6953009742542281,0.5514173046275149,0.5471530317497753,0.5915649447701301,0.725664295411996,0.6138839771674014,0.5682382183771969,0.6783280451749125,0.6241846261947949,0.7872042227909465,0.6950315227781723,0.7680643962581034,0.8299626356626398,0.8138808175032829,0.9349162020255223,1.0009338915301482,0.9018073751282745,0.8693321854578927,0.8097988846422167,0.7152092041170997,0.6152117574571981,0.604664839390682,0.5979443347856586,0.6363359334273209,0.6189325470474478,0.6431485869689438,0.7211458657574593,0.6087447935548326,0.637804665899168,0.6172070435386942,0.6109280484690033,0.5345531206215594,0.5163694947272938,0.5841077995799225,0.8615292230647983,0.7604413050430029,0.8375001268600771,0.8608619321694145,0.9913011219336071,1.0181840951300583,1.0194850800417437,0.9447952283687693,0.9411497839885393,0.8780176111426568,0.9748312512083479,0.7431805178509245,0.6067406063107095,0.6491456349697768,0.6680090329900353,0.8234384594741658,0.6537930072687373,0.6260299670608577,0.6919679047901264,0.6432699570316859,0.6456591877834315,0.6259247836208333,0.6684750416679196,0.618680442705791,0.7090922123532244,0.6472902963789483,0.9026350440037444,1.136548443854625,0.9652857226374747,0.6545699043220682,0.6069684359147052,0.6800430240671812,0.6423314825278326,0.7284615191260587,0.7329550134019035,0.6868978201874271,0.699113142866802,0.7446690762952657,0.8619530897224289,0.8357049060003201,1.016612978889836,1.1805972317582705,1.1804609837131452,1.0119112193936932,0.9321733260948074,0.7965764978683176,0.8226164889268627,0.7957288847964948,0.765905390392942,0.7573042519113115,0.7213646814563498,0.8043154454739532,0.8075986510712605,0.865503794770981,0.9361877402900782,0.8278326854246009,0.9477077897787921,1.0576144442198137,1.0137796373697776,1.0756112859258566,1.0249246872219893,1.5291797357814516,1.9129401597740308,1.3407814358228165,1.3128988401724782,1.1386059922385199,1.221904112132162,1.2347602883240216,1.1609055828410477,1.2623321482351746,1.1329994735442357,1.143412907422555,1.0694847644268555,0.990442435437117,0.975720548022819,0.8540068774075023,0.8334749658968261,0.8543361864519171,0.8469826361536241,0.7696382771612903,0.7913074074870219,0.8331854948320443,0.8147253234892473,0.8629684669374359,0.9357969243121792,1.0015856188513779,1.0043990315770428,1.1667394565510536,1.3062000099170672,1.220450174102711,1.2516739723511279,1.0568247375392248,0.9388009569215715,0.9852287907444317,1.0912987362008886,1.7199974874206303,1.2560096252712982,1.4168716710586577,1.0676621790908252,1.0633834429069706,1.0722781260157423,1.1554495065576411,1.261634018460883,1.0981762190216038,1.2276818961977705,1.5238040139041222,1.4223703117185091,1.2889032333009542,1.5543851110153368,1.8175156575501268,1.4825568461119158,1.5717273411098813,1.178899868141564,1.1775904507230204,1.1325122015895333,1.0093989606057303,0.9558445677019931,0.9779477761658424,0.9525289534863349,0.9051379349601313,0.9154380889524472,0.849556877282979,0.8340392329512111,0.8259236051226766,0.8159507051743928,0.8419473197802677,0.7989585484992179,0.8422027426608679,0.8920838594716474,1.107865209371974,0.9684544554678276,0.9702380198503577,0.9178205783708926,0.8762129002632968,0.8527573936853903,0.9412399125300657,0.9175129997610544,0.8570347845433673,0.9320221833829219,0.9667476113098346,0.9365227253473518,0.9513593082801339,1.1429125200583994,1.2337463508110016,1.0123012605623636,1.2360531610742027,1.4072448514081548,1.4593420462701048,1.2772716225125302,1.0309724574811467,1.5717231282403685,1.1270986713744116,1.133245737920948,1.0649699908569628,0.8945121031429815,1.0015032093435108,1.1518208054646897,0.8329847821773239,0.8275434696872205,0.8810531971851652,0.8914532580916764,0.8499459755995172,0.9294339073301923,0.8052069601265351,0.7851459653097967,0.7961920306816992,0.7814476550984203,0.8426335954193628,0.7909660644375869,0.777863292286677,0.7793201436492858,0.9648488882313384,0.7463009262182099,1.0979065902696494,0.8964410946023362,1.2318923536602653,1.2198439012723408,2.0450380812339795],[1.072565754301456,0.9690864861817947,1.1002602285793484,0.7303491341985062,0.8548173031267605,0.7880401365562525,0.6620013055189695,0.6897131316052172,0.6578701824775572,0.5924785500676925,0.5918722510259882,0.640826680504314,0.5481770017001804,0.5401301315464535,0.5601638137633121,0.5608144500748605,0.6034449750632835,0.5892331959215322,0.7141390808732184,0.7108907578803906,0.878717620268289,0.8850344762206789,1.281792807697241,1.3598771455305563,1.2156011295599103,0.9161369462784339,0.7777225729795376,0.6351241398394099,0.607021687913752,0.61040061942657,0.5902155688724544,0.6230534857244345,0.6337348756452645,0.6362264695601006,0.6392271356220981,0.6472791185185812,0.6827668102440001,0.685904192314906,0.7265879667987115,0.8460847410039865,1.0192986059404283,0.8519121864032603,0.9368235202880362,1.1628338384930976,1.6440068842707827,2.354718450979843,2.7303541743856115,1.8653210871544248,2.1406254400835065,3.400320990278797,2.1499622102263776,2.0341460883249356,1.4170139691649006,1.1447343597976083,1.3540281544356647,1.2332312888101633,1.188030519078241,1.0054083110124228,1.0123822657433241,1.5892936423474802,1.0379360152776549,0.9469907342171177,0.8242172527480437,1.0051480946720883,1.0050705889112717,0.8267038298541217,0.8791570593992307,0.6756914254644194,0.7144310798078914,0.7500809890931013,0.8292487353682287,1.0681527762363254,0.7681448584055209,0.8905044488474869,0.6910001054360102,0.9580425800280159,0.7196258904485966,0.6935347731977971,0.7445103220600227,0.8507498088221118,0.7517268835176115,0.791714970880718,0.9899869116625521,1.031070250437521,0.8624968464907414,0.7353068141831334,0.6901650046095295,0.7176913621649287,0.6882724339024392,0.6802802190354337,0.6661786931047603,0.7403626103918476,0.7222776159616495,0.5561533904943049,0.5551128356065405,0.6138065343801564,0.7381510961375327,0.6440862573388545,0.6154809679812735,0.7216282370540746,0.6781841963767327,0.8591234442995094,0.7434182932432145,0.8483164858473408,0.9167958170880209,0.8883400539331434,1.032304218554038,1.0999936014826222,0.993870720707746,0.9504563760653897,0.876095289671731,0.7610683789914193,0.6684213935863096,0.617785968443755,0.6019476293861732,0.6279105401195029,0.6174464598132415,0.6416986353312726,0.7481680997483791,0.6152505355234534,0.6489271255907726,0.6351244865632247,0.6364284521124703,0.5522473280433791,0.544774178288179,0.5803231454230083,0.9049917456394645,0.78560046065664,0.8901100402111168,0.9349746976365982,1.0519088395373064,1.1223231746003024,1.1083353782469871,1.0342199320774235,0.9967613256735578,0.8983785715698731,0.9630050476357859,0.7395991785178601,0.5884500895196535,0.6345447011260487,0.6840361237223145,0.8856684715148263,0.6928447336259937,0.641655643992673,0.6932580751954072,0.6665954926049947,0.662210914804032,0.6357921657896123,0.701579465715596,0.668484593640581,0.7821792112747606,0.7307049686485908,0.9759823102063571,1.2258885626781686,1.0261536074231552,0.7407964709406079,0.6730838135216761,0.7451585985900272,0.681175236847269,0.7686481686773892,0.7695050937620088,0.7084044626532014,0.7354102054505981,0.7876161473873796,0.9000106999593579,0.8749237929101324,1.0735488837829852,1.236903613892892,1.2178572306696653,1.0147349465854645,0.9554505100173669,0.8150426252072566,0.8594774327523618,0.8412392590747922,0.806933429146691,0.8117497559496268,0.7383706424864401,0.8772179491256531,0.8685173341233199,0.9326943247590959,0.9824036125125034,0.8995067719628841,1.0406915401728174,1.1713828856734252,1.077008087846955,1.119265873183042,1.0182737668683093,1.6532191376248035,1.870127051064779,1.4308498499427855,1.43802848969803,1.2105806867598887,1.2890643398033252,1.3141294446795926,1.2717921470641682,1.4102998896469747,1.2156008419378963,1.277799641087903,1.2050979899422092,1.1025183436565638,1.168860541240819,1.0274753634675604,0.9594622323663782,1.0229292208476999,1.0558493076946436,0.9640781938983198,0.976371964052582,1.0638422905846985,1.0533622460507241,1.0585646073597013,1.1491676753168352,1.2288239125189973,1.1854082330027278,1.3001234377932607,1.4632501540274572,1.3863896183833568,1.4806256256640462,1.3096180194369589,1.1929374538358697,1.2551047173798235,1.3812671356659187,2.073973437833671,1.5241970869844017,1.5606223105637476,1.3458373664966121,1.3384006207068806,1.3065564882422274,1.4130383150815315,1.5093724782469033,1.349803068691894,1.4364400874413885,1.7629678705625296,1.628676286669675,1.4827507124278587,1.7594094652321166,2.016403599637306,1.6656750796372586,1.6774787783450968,1.353573082774146,1.339302102256398,1.347675717708799,1.2451076319567076,1.1792409236251098,1.194439037780335,1.136797446910864,1.1063917228931845,1.1820782930909746,1.086824150085692,1.0398090320770892,1.0523745431219391,1.054951716597653,1.0512657275708648,1.0185806887229272,1.0976379731460149,1.1271893807775955,1.2888448682903653,1.1946500107267868,1.219683769953202,1.1753966899320836,1.1666528105610972,1.131496486134671,1.2165908769293619,1.2195342984190325,1.1204770798931547,1.198492691784988,1.267676553495998,1.2248044635844682,1.1931950412917856,1.4156427202069874,1.5043328424460276,1.2590615661731814,1.4176003203344802,1.6518441152043029,1.678487208210765,1.4795148802854776,1.2409471492439845,1.6934079360123744,1.3217481455137357,1.3996825351957092,1.2813602144468434,1.1102131911744093,1.1768303001879075,1.3160763702577492,1.018545476388363,0.9899720714210757,0.9626101838856984,1.028004539763374,0.9446998094497744,1.0223678800196965,0.8725890565502065,0.8937476103673647,0.9071041342699551,0.9431636640549632,0.9679842646921081,0.89486220140098,0.9584908380747705,0.967564472813286,1.049338800604963,0.9220235800962289,1.308742265343193,1.0853847738055038,1.3445354438718304,1.330201815312663,2.1496335630622525],[1.1166658229917483,1.035628837689174,1.2166345477972427,0.8103711395504986,0.9918044636179593,0.9045282438618671,0.7948282695671338,0.8320507248826062,0.7889349829521485,0.7426019803493836,0.7338035313157771,0.8130132491159229,0.7757676269643555,0.7071166902085448,0.7389870261838515,0.8168949627707196,0.8455068934261205,0.8629702053746203,0.9573165396500986,0.9765717227144968,1.1137294429662954,1.1256003755432624,1.5285526855255336,1.5898883699516626,1.443936832229334,1.1472002242145212,1.065378945392244,0.9172548720171125,0.903110426479854,0.8885401541021198,0.8304675667693902,0.879828861223175,0.8886869158833866,0.8818511605227567,0.9213724594450766,0.9336750349879882,0.9639433951331006,0.9904590118143339,1.0213987734955805,1.141534570098205,1.3032343933002168,1.1462309840932003,1.247922774746072,1.4426607866193184,1.9526148729733324,2.6889805080565488,3.093817864892577,2.194769299598029,2.4278300377793496,3.738361511188355,2.490913683699369,2.3046058228603066,1.6349181521937546,1.3831938184123966,1.5248034101035146,1.5058809765763221,1.4766469522757268,1.308700834668774,1.3212917879200428,1.8168501906638794,1.2959350601672317,1.2133523133956052,1.1033433566213746,1.2172996422737825,1.2394431874532683,1.0931468406205465,1.083783477162243,0.9155025469468606,0.9052094827534211,0.9001395428557033,0.9136767150374077,1.1270758568514678,0.8642942720274394,0.9786969064252115,0.9252965959769989,1.148266684119134,0.9960425558579559,0.9808070188837023,1.027688595933313,1.1277573426813228,1.0465032602728737,1.0883926908693597,1.1953288739759607,1.2929380567285136,1.1361183085635498,1.0266578763734555,1.0019023919849037,1.019923060983269,0.9685189620872868,0.9459489948942401,0.9157700737832168,0.9414767831660293,0.9009251418475898,0.7986662103558801,0.781797588539911,0.774507306005237,0.876332116704922,0.826622455714381,0.8112582089100967,0.892214375287699,0.895456167310762,1.0530536095105132,1.0008061257935124,1.055650256198503,1.130888815559389,1.074576059521925,1.2071128516482692,1.271195768099225,1.1474676271720123,1.1024450643698216,1.037575163362469,0.9485473174950848,0.8536861081426732,0.8434638776829058,0.8207393265819743,0.8398604343828939,0.8799545634108005,0.8999981623378424,0.9467308868461436,0.8555400982598956,0.8399715495541117,0.8127409644361445,0.8104442367529072,0.750999057336757,0.7152506264658004,0.8007289002481778,1.0864795768486544,0.9630759545199259,1.0667193276491396,1.1285615377499392,1.2149548968956925,1.2763673308096908,1.2825643778225029,1.2195096780568566,1.1977775357925635,1.113044302475765,1.1343050291243628,0.9718977892176491,0.8625482086492022,0.9241818597690005,0.9379720090723899,1.0860085234469734,0.9446098710659129,0.9306842517114338,1.0096218509877826,0.9381593950306887,0.9195511023674554,0.8969155451586109,0.9501160925308121,0.8666723271563971,0.9609959081598326,0.8782246588214552,1.0827834886051324,1.2690229339593233,1.0908834251970643,0.9094256494346404,0.8718766307294114,0.95402941181,0.9321463153289025,0.9849378675296759,1.0183316845628,0.9791452746601107,0.9910748594081839,1.0604564220612152,1.1856974102099922,1.127239849967172,1.2852981032054525,1.413550586349599,1.3991448213691,1.2293897045835704,1.1757720735772426,1.0708053189521958,1.1075908171718443,1.0896550283138644,1.057055073752271,1.0507170823541778,1.0109708212874724,1.109887613648907,1.1226956806542023,1.1685331006576063,1.2492802821688158,1.1237039602897494,1.252817579743688,1.3524793552155072,1.292430300776513,1.365755469929679,1.2834667295002062,1.8389093949197342,1.970205687009781,1.582078823700071,1.5705462591277164,1.362436392837129,1.4499671839682264,1.4616491646676248,1.4263932113822322,1.5122377794615411,1.360586891265022,1.3853895449476725,1.298390888025424,1.216112118671303,1.252799765972497,1.1391822387372321,1.0828330062697022,1.1136717133025142,1.14406990818573,1.0706574746696804,1.0812852628178256,1.1621176460170943,1.1441788309658651,1.1596476525406887,1.2523095474378207,1.3203314216679451,1.2730486077126915,1.3976360795549903,1.566147242597054,1.5246633274077703,1.521446372955442,1.4030553663325573,1.276531449490939,1.3344206788993556,1.4103903421433583,2.10243847743532,1.544058033711596,1.563333037883438,1.374122445096462,1.357770332575832,1.3537016408333493,1.4472863191554048,1.5118258089401124,1.3914805680268645,1.4851488282444947,1.7706362397059994,1.621822337647798,1.5143509284217005,1.8215154969319771,2.0078434735648836,1.673079950072398,1.7360730571874317,1.4079411686530725,1.4429909795706082,1.442047245778694,1.3272451291352036,1.2833295271651173,1.2616223482995987,1.2639748372062931,1.2269397692732487,1.2739199498077838,1.1930437346555416,1.1678943093428849,1.1386319872593151,1.1348943641101326,1.1399386010465762,1.1095621040503727,1.174995843813268,1.2062756188480352,1.3314259741584953,1.280052679347089,1.2902083483645101,1.2457811922560167,1.2266408748960855,1.2027981424206409,1.2754473983528332,1.2737525900461093,1.1914939668879576,1.2536567943411956,1.2985330798264065,1.2706816849096572,1.23054759195883,1.4119075090117306,1.4705438546204441,1.271260726401071,1.4047619396106377,1.60964959650192,1.597125057914021,1.4362082602998343,1.264425450726024,1.7654401614742332,1.4715687085869884,1.5529171327051061,1.4866241824231237,1.2466360411197788,1.2995209579610472,1.503437268156395,1.202433728696548,1.1428599096021472,1.0556005631075285,1.0819142863264448,1.0659413793461237,1.141264337682662,1.0263565206002483,1.0236254419292448,1.0391322407713133,1.0687081763466242,1.1058010456295804,1.0267153795344255,1.0789023877278503,1.0804193617205444,1.1624944830469799,1.0319354473064404,1.3943234332856878,1.1797092709816812,1.3839509016521578,1.4792618053887725,2.2503674691557434],[1.0394181445038146,0.968456867223482,1.1416641134454717,0.7523953660616903,0.9297228641452263,0.8432626400842081,0.7590927597718099,0.79114517216933,0.7582330893361561,0.7042987620981236,0.696402038586831,0.7839098709566928,0.7292095305198939,0.6688148297759181,0.6994298980056232,0.7648799688194374,0.7874575362964855,0.7937909282598432,0.8700238204160771,0.8974215025331679,1.0289489153999907,1.0272068064639974,1.4340775271250001,1.4982985018278225,1.3767515327097375,1.0660328971439097,0.9676406493510553,0.8413099944664871,0.8306354705452882,0.8246903493092147,0.7777392685222773,0.8175032264116282,0.8247304896007503,0.8273679157811128,0.8546614231698246,0.8671437932075472,0.8897521440750462,0.895354843996855,0.9340612524646461,1.0510752187784045,1.2157441942087475,1.0461843390505272,1.1272294054312137,1.3295541354263491,1.8032011727494561,2.6054181357101083,2.964533886424147,2.076415167988248,2.409260876059945,3.7164630137807113,2.3971992101152697,2.2075714683475702,1.5446979424900344,1.3034809607704774,1.5221586555338766,1.396184270311214,1.3516760720819352,1.202962901221166,1.2176610205396075,1.6828739125323375,1.1824938713492492,1.122405447117327,1.0124201104420163,1.1075417877716034,1.149241026952158,1.0164250974892948,1.0144772057755491,0.8359850776127246,0.845971183806144,0.851256838441928,0.8967127905806451,1.1009321552767473,0.8268879401605266,0.9279300780013959,0.849229350480541,1.0680698243113067,0.9115407470041407,0.9073678060644532,0.9416096699543883,1.0340094270834967,0.9528445346784188,0.9948219973039675,1.1376944228168049,1.1881143484475492,1.0437305010888427,0.9500461594716045,0.9105998661200791,0.9191980082168623,0.8949828410372107,0.8850962508817354,0.8697370083507195,0.8833721481052063,0.8479841892771877,0.7524064126598863,0.7360453028238847,0.7429253601221109,0.8287458033649102,0.7780490210041497,0.7650277309377554,0.8520313398702981,0.8546171114225452,1.0027921970590072,0.9376238797220163,0.9962268608847443,1.0717382141837544,1.0153305372021897,1.1394691460048119,1.1964067922393973,1.063947910671155,1.027727910529491,0.9677129906830934,0.9036969399274324,0.8167942249444772,0.8006876729131659,0.7863671104306386,0.7878538851145467,0.8072555109197279,0.7907171652748323,0.82010388088064,0.7830451114500344,0.7641068101011982,0.7468669603120639,0.7404503254811163,0.6913203942152336,0.6834715431686621,0.7534534084082198,1.0161036295880954,0.9172709385782749,1.0060167915084093,1.065811276841647,1.148626742024641,1.1903652837967702,1.2036705530512637,1.1425922271672975,1.1369800013781126,1.045946326703756,1.0759957553723976,0.9087057262294238,0.7696905977331537,0.8312133474498816,0.8293890155249617,0.996318097145943,0.8473476441067261,0.8428348022364786,0.9207074381703059,0.8642568054730528,0.8464932210556839,0.8311859920972999,0.8960501156710979,0.8292156086496719,0.911455148157046,0.8274911193983605,1.049726268441547,1.2352310516439529,1.0537065231810137,0.8653764415254825,0.8278488038478468,0.8983925222369616,0.8770501425042405,0.9358318666865038,0.9658682917630292,0.9183092522990237,0.9331174922297154,0.9893741888944643,1.113405518729409,1.0653688876219403,1.232332218090599,1.3596224264826153,1.3439611497861121,1.1910230690501586,1.1180995640105995,1.0101020096360134,1.0491261594126229,1.0257861810712456,1.002239305923692,0.9931320692508908,0.9405931873281806,1.060198030100316,1.0549790501122396,1.0912625136548921,1.1710627344653357,1.0604927118618432,1.1758893806028312,1.272998325531255,1.2069364212590088,1.2605001951369392,1.1997818940426266,1.796495688329469,1.9361085932084958,1.5486788574717258,1.5312738358958018,1.2821753864186949,1.3805083687666992,1.4030149081094556,1.3455038833385342,1.4270033044786985,1.2790138293617102,1.2924056888430155,1.2002040981417792,1.1156234833294072,1.1202387487303973,1.0049765901780632,0.9671690654625259,0.9755366505026308,0.9920011070291994,0.9349448528569204,0.9566400313926015,1.0059845519381632,0.9948985821374389,1.0442102656008507,1.1334737336161245,1.1843370145065433,1.1591889844510574,1.3171872337105277,1.4749721238585927,1.4325127727814888,1.3916194115910028,1.2665569250231015,1.111061210443243,1.1555166105332912,1.207516097108801,1.8831592702618005,1.3413424944224228,1.4608533344859749,1.2087421011920543,1.1951204165623976,1.1923666575829757,1.2865892128203487,1.3563932944963375,1.2246446878635684,1.3456513737110183,1.6353609332442285,1.488981811591571,1.3963076679111321,1.705161076558162,1.8699974438715905,1.5533492890384413,1.661884012953763,1.2942408869392505,1.3281919509786773,1.2993520171270423,1.1787096296324897,1.1430770639004928,1.115846482701133,1.122021796031073,1.0821262552784292,1.131575234135954,1.046150951358079,1.024952065895984,0.9846135154792598,0.9745955913085725,0.9819530025753671,0.9595607626890553,1.0098887722714571,1.0445411615181004,1.2175951809686116,1.1293994251655473,1.127471771306703,1.083887535452936,1.0525168499942088,1.0307917884768185,1.1058448933152205,1.0791332054822984,1.0262252776946799,1.0860007160826743,1.1119263540813331,1.0878624193992177,1.0681561986557568,1.2419778941358242,1.3236023494383051,1.107798937004442,1.2795268802062703,1.4398629789878035,1.4561403501158536,1.2847783524221508,1.1020204635655417,1.728551431902207,1.378274756323754,1.437487163676899,1.4153390531830046,1.1289371212607344,1.2222074492852175,1.4859468559988254,1.1485142911804145,1.0377643412732513,0.9343762337966847,0.9458714983872223,0.973469253441984,1.0459903766553542,0.9586231206718042,0.9371644879236956,0.9454369823555133,0.9545608738470129,1.0186322068399585,0.9427023583731536,0.970278006232492,0.9672052098061853,1.0803331956614028,0.9468871242840405,1.2862318759665599,1.0724793396879684,1.3594313571631875,1.4733452266796978,2.2476613407436403],[1.0217128037258663,0.965748722185401,1.1093931095317717,0.7161551952466725,0.8387914655099564,0.7520023033039721,0.6903766286256955,0.7109080947783492,0.7060925536863669,0.6559664623254979,0.6499080049277028,0.739322961074414,0.6894960961897209,0.6424834166052845,0.6749996811606517,0.7504156138802859,0.7743165939007218,0.7956372851290131,0.9055906387819926,0.9195481908271934,1.0588657949237439,1.0477939163763546,1.4714698844212806,1.5279662216797545,1.420170462028751,1.1036058784542344,0.98290847903453,0.8450494807498647,0.8289961443827706,0.8068818225743478,0.7557251153983132,0.7821470057981244,0.7995292542106424,0.7993386625271228,0.8328509692981547,0.857085839314099,0.8672718024603079,0.8873730288953517,0.9353278144632344,1.0371720417319588,1.2329489877113124,1.0652891602340604,1.1304131279968406,1.3467874897672916,1.8130039341275772,2.65538765498099,2.9642007233808445,2.0894826860096476,2.475040576011094,3.7468138848663592,2.4047349242464016,2.224367266460078,1.5617294768259928,1.3196488305600087,1.5522301771319733,1.3924660123936772,1.3503746727357844,1.1975474532890642,1.2082276734705768,1.6361188452988122,1.1787523226506063,1.1348196264785912,1.0371810071721226,1.1200905492590845,1.152428860064966,1.0324723308989212,1.0311109914625542,0.8563054092426473,0.8586270400401235,0.8516482958019809,0.9205216433458928,1.109416061337521,0.8340349855565913,0.9162442037459302,0.868905501572674,1.0483215487850024,0.9268794698295488,0.9197492470102386,0.9619140807529927,1.046574966237121,0.9435600295656018,0.9760580929003253,1.1143238102527773,1.1492509092897503,1.0181386280779916,0.9250450827542142,0.9053628189036519,0.8952771053995008,0.8982328230760933,0.8828549210960407,0.8558494656424127,0.8485929144913066,0.8334271477451036,0.7283252316039944,0.7138011073498105,0.722688110785537,0.801627123706621,0.7368241218718677,0.7106690089496405,0.7704295362388484,0.7823901604109177,0.9061301299292509,0.8620726342459809,0.8973293223383384,0.9969008188695639,0.9250975006058195,1.0461416298518589,1.0937396248631863,0.939187509644419,0.9200960370142715,0.849164298522107,0.8227921878999652,0.7369989349742327,0.7491706508615434,0.7551966290031924,0.7713054358555113,0.8149176698469527,0.805663920949179,0.8394156396051556,0.7951133868951688,0.785164804964142,0.7571383648488315,0.758307674626556,0.687992094699978,0.6468467040776991,0.7056629680130616,0.9325226161444365,0.8249797716029426,0.9086115701911663,0.9859380787114725,1.0581458006847415,1.0923695116496448,1.146298938401225,1.0754289617299178,1.0857173674791145,0.9986365822241187,1.0212757657954195,0.867394821700741,0.7543169942186315,0.8273976054413679,0.8393302701748536,1.0093327751349963,0.8554512922153247,0.8489064809410667,0.9318587892636063,0.867923668865637,0.8498758975104548,0.8048287701223121,0.8528433640463482,0.755795814715904,0.8144015157110105,0.7294834001246316,0.9410045240985184,1.1432024365294007,0.9569122822788568,0.7794838742411874,0.7579472241468699,0.8020587111135588,0.8244174285795882,0.8625456505543587,0.9231841196471557,0.8978801462839351,0.9230607853593391,0.9792318774691586,1.1078919641362268,1.0742665378044585,1.2180763072150649,1.3564145233200346,1.3435273758622668,1.1854321031149146,1.1014692550556844,0.9943316095173053,1.0251512628897201,0.9923823980855351,0.9604369094997546,0.9468531345163945,0.8881989072102989,1.0139319808071783,1.013029006777786,1.0454078777679658,1.139071039645484,1.0091534311659853,1.1284096732540265,1.2308390345510942,1.1655790939384651,1.219983239868746,1.1803914515812466,1.7723227315850167,1.9358356790474585,1.5296074320685291,1.4942072834826947,1.2620549833112944,1.3563702406099036,1.381566699586452,1.2995990151090369,1.3487197958845976,1.1995051797763192,1.1688094149689254,1.0438438179177916,0.9702769151528056,0.9394166249856305,0.8393789915943279,0.8134409792365696,0.801022656932554,0.8208906069523438,0.7836463089826193,0.8307084128500682,0.8696071843549271,0.8533777526255413,0.9510911123318293,1.0576002493000602,1.0873161564782106,1.07072956123634,1.267629772204606,1.4317641954021187,1.4102878164556842,1.2972118407462405,1.2140826020626296,1.007699248321757,1.0350868994382636,1.0510101007972703,1.6140641511770175,1.2018051669380103,1.3530098288101196,1.0048557969161218,0.971322260643219,0.9781160012470625,1.0746449115397714,1.1455627857487198,1.0117072138598573,1.1564744271648026,1.420580928224178,1.287601101367889,1.2036063937436288,1.547608793203416,1.6371017198040845,1.3666429169994094,1.5509440482451744,1.1175922935284226,1.1735810602692052,1.1192900586207026,0.9846976881971772,0.9703327137461022,0.9461014674577252,0.9635604517200201,0.9127778742235825,0.9749414733988597,0.8733414660554729,0.8610266451066229,0.8115074553888746,0.8054564003014909,0.8181881687925502,0.8122920338026433,0.854198892664824,0.8929893343044975,1.106223039196013,1.008545055886751,0.9865933286903951,0.938283521053173,0.8742509686137492,0.8391338043165012,0.9287125829875378,0.9045006745368581,0.8597874786925516,0.8952198086238148,0.9262947430889813,0.9168839862278414,0.8715083563592321,1.0168959507037119,1.1516559038698393,0.933712728266141,1.0765876859822305,1.2411941656447087,1.2879370513777293,1.1287662522475628,1.0034324231451497,1.82101238821537,1.630276830467549,1.43821473602807,1.4584085196015548,1.0886896841543334,1.1982079969040869,1.580607353287411,1.2142840497675553,1.0819531942208782,0.7333266954002274,0.745243600157584,0.811023011944507,0.9021694494769968,0.8347054407187093,0.8069623820299827,0.8089546580529483,0.8086423040783756,0.8850204997034361,0.8110280844314025,0.8502833432098607,0.8269813925182117,0.9793255560894292,0.8463240126725836,1.1347848838147023,0.9401915316504034,1.339840198848415,1.5712888213528473,2.316953687276757],[1.6258797558408258,1.5475646214571108,1.5861690333535874,1.1987841759688809,1.1985930078235338,1.1581108708294812,1.0524289809380785,1.0825102478812563,1.0619868990396721,0.9194712429219937,0.9136743657610252,1.0256088589114325,0.9174579180674799,0.8655642239003628,0.883626599083527,0.9427840835892544,0.9174805319842566,0.9126934997857612,0.99929235009866,1.0238978606118054,1.1768757369885146,1.1787667174256968,1.6434330259946432,1.7070138677647273,1.5571603069795166,1.2119172757508936,1.0778212758092651,0.9416129698380085,0.9442359193757747,0.9653731136042358,0.9208031018927835,0.9831066295079496,0.9953098234908736,0.9700837715632241,0.9989267467479909,0.99075802186736,1.0200625772422818,0.998498095248472,1.0438528164675624,1.1625343855206298,1.3129368427819452,1.1677630038623128,1.2422913722650333,1.451013994799266,1.9395585697982405,2.7847336175817365,3.1359082852211544,2.2435599167566393,2.512582629027434,3.8432168068141763,2.5398321100407295,2.3178110470272624,1.724593908471768,1.4357366551794175,1.655427129097077,1.5514912179040363,1.4910752947526185,1.3302667957283822,1.3557310529675133,1.7553925529131884,1.308842954638225,1.2648305308570302,1.1808684848565674,1.2542252769334281,1.2714519348551137,1.158904956293679,1.134985246598179,0.9661614890604515,0.9620068530008996,0.9696581615342902,1.0157814227486088,1.1734473653226412,0.9447278839089076,1.0032615388596218,0.9922465716322585,1.1433821763223015,1.0576723196591704,1.0572540907095385,1.0981904565955902,1.1717700004952802,1.0846058780186731,1.1198403095133813,1.2500139742008753,1.2894493593954228,1.1652647000221052,1.0726923017434435,1.0412661813629225,1.0434579838364662,1.0229594538313167,1.0309063795907791,0.9949202429626002,0.9734479799341152,0.96312492994818,0.9271263692599417,0.9161096723749927,0.9320710489524481,1.009370069971244,0.9756929391541262,0.9950914612326986,1.112412819481718,1.0424135845640057,1.1906569653364776,1.1090508428921786,1.1705738358198352,1.222707795129938,1.1797556434354783,1.3083664453214845,1.3376468307261455,1.2626916471784044,1.2243397003304672,1.181274574348018,1.0745455416145946,1.0148694965861544,0.9464448002151031,0.9267656487735206,0.8928052386963867,0.9190944512019897,0.8858104431319929,0.9225049148167113,0.8966150645949381,0.8968267717924053,0.894185151725309,0.881033349029142,0.8700546027427764,0.8918151175962711,0.9050029364593357,1.209369791886289,1.0507445878554729,1.1671572567339743,1.2106703099201432,1.2582120106339159,1.315629441366869,1.3102442362134392,1.2555029269277276,1.2324602391111512,1.1113608524796303,1.0995005319725693,0.9500750131379652,0.8437375323482782,0.9121504277589512,0.9188770331918261,1.0907854269003887,0.944612694436275,0.936327148780423,1.0374127842355327,0.974649592248126,0.9646889341660858,0.9779525022935872,1.0715547760237165,1.0219139797028616,1.1447938157178765,1.10696410414972,1.2632947877249752,1.492993881302626,1.2964804376603238,1.137053324945639,1.0647396050448774,1.112864946324818,1.073568507676012,1.0995590555028822,1.0793919790011768,1.0362609797201672,1.020533169379694,1.092279818550884,1.2322069609857471,1.1665489870495347,1.3269266379956242,1.4781192676564137,1.4009752707132594,1.2410949306809724,1.1744253629387857,1.0824599158515815,1.140959049993446,1.1265213337720748,1.11272182475425,1.129264903254364,1.0647273186895614,1.209079016862573,1.1765940267174855,1.2242399836325484,1.2624699195436764,1.185407770002445,1.3074005560161965,1.4086849636323278,1.3226267669746161,1.3719972350212308,1.2910525439739293,1.9844163734383071,1.97875542355904,1.7204602435301908,1.7096022293515165,1.4248875360449151,1.509537185461995,1.5005543182527075,1.4733257892303682,1.5591998346542957,1.380852016846299,1.4428749431623045,1.382089199442235,1.330244138380783,1.429508032353408,1.368563513159156,1.291669879738285,1.3726181847828078,1.4673337082152276,1.4004919902742166,1.4217986026301654,1.543557099163519,1.5492102518600375,1.5703150429017323,1.693764863482175,1.7511522987544244,1.6961876376199088,1.8045628549888075,1.9882096277706978,1.9798418383404557,1.92203027873351,1.891707736520328,1.7292983401223794,1.7404107081347602,1.7133116470137253,2.379459818917663,1.7659641424757708,1.874045674069356,1.6395058809769634,1.5910655091012993,1.5437856257671672,1.5816552390749887,1.6823979472327546,1.5542512343740027,1.6061979070610994,1.851095894174487,1.7093836560557851,1.5972362018270319,1.8281425465263172,1.972407572247025,1.7193231833484568,1.7540666320880762,1.4976754817061686,1.5206424778063765,1.5417266246439978,1.4962394683317686,1.446692166264151,1.4813451137370248,1.4462896429857546,1.4064669739202735,1.5661096788341484,1.470401406840634,1.4144653284986215,1.4444996158117396,1.4771469381212206,1.4764892031620729,1.5002546049691976,1.567412829590076,1.5987627757838758,1.6833175974474732,1.691009303382052,1.7036230084642405,1.6683241374928472,1.60534496733113,1.5420912076355313,1.59332098575792,1.6241567267832318,1.58495971937369,1.5522199688173068,1.6058605576615828,1.6250876359278323,1.5236387334880708,1.607488039046541,1.6957002590489256,1.599527557861518,1.5887473190047372,1.7134681019825089,1.7771560148245984,1.6720186391206444,1.6860496371539155,2.1395394995837407,2.108570120614051,2.137308030107215,2.0400353578656705,1.7300091048357904,1.7059784002220941,1.9529646143601191,1.7132620974384203,1.6792586685044681,1.3363354801791487,1.3167183247342054,1.2576064854179134,1.274915465369651,1.1544957955766635,1.2481586797596123,1.2769586950818756,1.3733661473569896,1.370570248323264,1.2581470467966205,1.4341443688258357,1.4285079141843746,1.3916088606883843,1.3761366242152298,1.6460214946251466,1.5163932586370705,1.5712037197727142,1.8416745640696228,2.4100691425439167],[1.7464838530354643,1.7004895779292069,1.7413936715657465,1.4249328489912514,1.3444352082527982,1.3474381127844577,1.1998089516524442,1.2028126021457342,1.2142496196622996,1.0876673401934853,1.0828944674226826,1.1732422576035222,1.0640412947621938,1.0298669094975392,1.0318909580355728,1.0730399263284214,1.015153834557357,1.0229133006067457,1.1092788247821457,1.100656239111457,1.2318878620971223,1.232872856465235,1.6824857635883845,1.736788172837806,1.5913962185038144,1.2711540728586406,1.1567352768364394,1.0243520329008615,1.0403287816525824,1.0442305195529242,1.0155103187974872,1.0509715503648958,1.0773575473422692,1.0279483018741522,1.043518974555037,1.0525094094461485,1.0622494083561418,1.0764358199320112,1.1178451759576364,1.2190959837083395,1.3835577130053804,1.2343917589362354,1.3135458453121607,1.5205647851566593,2.021902700953951,2.914427459996123,3.229302012598152,2.3181019547577675,2.6465081199134186,3.9669300236985188,2.634591647317519,2.404390686441169,1.7708136635947205,1.4792302426858428,1.675738628985219,1.5946814271170278,1.5455821345733738,1.377520373014546,1.4095694892839645,1.7625140701895803,1.3389921991640177,1.3175229300587197,1.2304444949184135,1.2847536983098173,1.3100664385924323,1.2113704633930817,1.1864270923843383,1.0678762521308052,1.0735583996780567,1.0761170511279092,1.1260431256581758,1.262977876567615,1.0464640432663237,1.114021071992007,1.0943101378320323,1.205844707394799,1.1274262531837462,1.1039013761954883,1.1320508320144562,1.2058307399560213,1.1574035785627101,1.1697051746266753,1.2560299131438282,1.321290893888249,1.1900046053451634,1.1216650089495097,1.1024647514223085,1.1016684189317505,1.0751852336144538,1.0599578430608656,1.0633371559401252,1.0472732024919442,1.064601212806899,1.0437478236842206,1.0472283876370148,1.0831699193906021,1.1510394877997807,1.0778573009839747,1.0888782597674875,1.1877510253271113,1.0957769438936174,1.2338138595143489,1.117738254284406,1.1458898622216618,1.174199952943134,1.134598645176668,1.2492997559935426,1.253165036237916,1.1988264557011743,1.1935251807964082,1.2051439886205177,1.0964393583218381,1.1124374734843485,1.0560733891084184,1.038639170208271,1.0047370553868384,1.032426974456742,0.9994062755890226,1.0191870734766457,1.0268795536278077,1.0177322444355477,1.0409976823865132,1.0347405262770915,1.0222699778545365,1.0592447515646746,1.04690785120061,1.3334378670545426,1.095832687533935,1.1717213996943305,1.1795517577306676,1.2216723895832178,1.2487804058198402,1.2756901767393316,1.2079301930383282,1.2218434240569929,1.1359026268758978,1.1008494235764323,1.012844498487843,0.9344071039168412,0.9934645723242799,0.988708495498632,1.1257178913818338,1.0101790364684045,1.013444452546472,1.1237306635387616,1.0545427332644572,1.044277069568714,1.0657501146705357,1.1253372721389612,1.1110509451883455,1.1989559121602191,1.2016648631519515,1.3709447879107841,1.5522528262133637,1.300045677940061,1.2168308199412177,1.1323432642810456,1.1528754764389697,1.1141905677926986,1.101227471584488,1.0865830571357042,1.0719477576809073,1.0659843715175215,1.128391490458582,1.2852540649022544,1.1957940908047913,1.3452459887375865,1.485853720411267,1.4071965208996484,1.2709232649851936,1.1918150097962479,1.1120559331715738,1.1591664681779972,1.142833421856382,1.1210810660820105,1.1254607791011075,1.0830790227973075,1.1957446708562656,1.1725599945532705,1.225687899284949,1.3076554241025804,1.162374627124583,1.284621262242106,1.401479618996612,1.3348673476305284,1.4007518418636715,1.3485282458312549,2.024777904402796,1.9580310509424284,1.6842768469755094,1.6728313055114017,1.4282071273181411,1.5162133511702993,1.4975801614307758,1.4610692586704068,1.5246610099126314,1.3412640319588673,1.346246975733768,1.2554096242101271,1.2372096421696985,1.257387501576248,1.2447853188379032,1.2341367700401598,1.2931526246807379,1.3424658797265876,1.3759537657796495,1.4731934576514534,1.5124204381411253,1.4968393901779846,1.6165722620616558,1.7367905905340257,1.7419343577170572,1.7233649209352138,1.8811802805804354,2.026654409920438,2.0476962758620245,1.8675603943032693,1.8696212154211689,1.6823587216891676,1.6411173607327731,1.5250990505904665,2.0197337673063296,1.5310831102732694,1.5913261184701473,1.31887071959112,1.2407059502058944,1.2471008882710046,1.2746978899152792,1.3294543097090377,1.2474278291600462,1.3363412399456527,1.5496968705436018,1.4038765269134834,1.3322725518147567,1.6449233907748824,1.708335247139256,1.462616878593476,1.6286475197329238,1.2962841458588836,1.3815837789638197,1.330425738720803,1.2715061921035016,1.2568884018191642,1.2637712541548105,1.2474272628632153,1.2685365016159047,1.4023562527334796,1.3249533891865146,1.3217468411279099,1.3379056385484447,1.3784976485660676,1.4141151962528031,1.4500789356982782,1.4757954478567548,1.5305059631967506,1.6473428253046722,1.6453881663386873,1.6107628479795804,1.5630927623399726,1.4374063261192027,1.3712043926970339,1.377598541298149,1.4353067994122057,1.4335404906558695,1.33979188207017,1.37732981644345,1.4483676220391428,1.3222915195065925,1.3110400302531435,1.4749696938939698,1.4366253478671103,1.318196650563297,1.4656793074073553,1.5651924111971525,1.5345113335055638,1.720149541240031,2.3212671566923473,2.337095651637173,2.129678117351208,2.1584288454246625,1.83501217742743,1.8367310405223187,2.1507143676632943,1.972651729431726,2.029331276940451,1.5687839453877477,1.3109731557186353,1.2922970260296587,1.2381984340990329,1.1947287693081496,1.2929902787915493,1.257541413192074,1.3345968997147224,1.3313211747726494,1.304675666429842,1.4674639504119622,1.4478234192677937,1.4775362206114087,1.5166490059532824,1.680056561632648,1.5785666396086382,1.7202285444011367,1.9685687778244085,2.5930479988401953],[1.1666294991619945,1.1260275329374276,1.327239233147237,0.8314819321889694,0.9026343143492651,0.8103000350980176,0.7585339540897492,0.7955536994091528,0.7852159863047407,0.7637617767221989,0.7663027522462158,0.8507186963433929,0.86654467582217,0.795231685666072,0.8819323376663654,0.9891801876417263,0.990336347457483,1.066898556025146,1.2171056620644725,1.2720489983299785,1.4380611264240175,1.4824897513293853,1.9187704857772283,1.9667533688392242,1.809828807503162,1.4743845634913204,1.3663710858146363,1.153454071456104,1.1188711770513413,1.067361484410274,1.0276340861267819,1.0180390482809054,1.0207429107467125,1.0745599123138554,1.103961194538691,1.161379466170636,1.1476952544136625,1.2341499039803043,1.297529541906359,1.463887045450122,1.629801289618146,1.4932533086801818,1.583344792524622,1.7948803205369528,2.2769126490617246,3.0608708933615714,3.4443301676684186,2.561735523379975,2.7368165280375045,4.028565326914106,2.7635855283862125,2.5065345545129,2.0083411027101548,1.7205155161835115,1.9040408523757992,1.8884998795651136,1.8233709856505074,1.6176508479661473,1.674192151726699,2.0691971496119295,1.6155307799541385,1.5675493671178817,1.4259753824846937,1.5428920807934168,1.5799272957958486,1.4245027031675723,1.384557640366882,1.2068205633121791,1.1542485761398307,1.1054295740631384,1.1001798254298532,1.2608183104013884,1.0617746222140636,1.206176571837652,1.1904107743853576,1.4012047833176156,1.309716306700666,1.2903892066972584,1.3345301625678854,1.4276774413484916,1.3092610946613266,1.3691138329427126,1.3931249633872012,1.540316515863911,1.4070064798456787,1.289761465746728,1.295461640491402,1.226565651389945,1.2694379800912206,1.2291716412990628,1.171656722310089,1.163878584745295,1.1066788919670543,0.9935419527423177,0.9537521644265395,0.9405529372936049,0.95315676853082,0.9396007315978715,0.891254579887528,0.9170835629042249,0.9862073243062176,1.07693726808951,1.110583619483333,1.099682455169808,1.192816259669414,1.1085220877963782,1.179627675286282,1.2077479738958496,1.0672967050319029,1.0506500038687312,0.9480540137373228,0.9667746975160486,0.8397586077150796,0.9026290943023456,0.9126537638786281,0.9266761962068594,1.0219385939861343,1.0693097217647753,1.1339727252939438,1.0353851504069258,0.9866535401652368,0.8972548522081218,0.9002894849383318,0.7914502329717146,0.7326438687890859,0.8164238519029934,1.0003497353232091,0.9423241615963097,1.0251391891531005,1.1441049641608751,1.1792621627925095,1.2394022966888263,1.3899943240200199,1.3173851205026081,1.33359433776665,1.1879113620787094,1.1115768193429736,1.0242503414907496,0.9443578413078602,1.0885095765585109,1.1423088435795894,1.343712505179698,1.2008575498998229,1.1647852820257363,1.3204581738230101,1.152010218454579,1.0885044327390834,1.0238641058232987,1.0237411955724376,0.8930377124832806,0.935871018676691,0.836891671384132,1.0441740729210973,1.1938115777985845,0.995393338396018,0.9280254719661214,0.9230849218893704,0.9646322098987763,1.0243408850146245,1.0517330717347595,1.138236229789687,1.173301966403814,1.2094014438407004,1.3250396675616996,1.5035486982102026,1.4085721032485392,1.5910977834584765,1.7306796325368594,1.620954983113169,1.4517751768763145,1.3808471176037938,1.2669294752029971,1.3296013382422858,1.2930597252902072,1.253605007753057,1.1953994916716562,1.144978642997879,1.2572409659623227,1.328916022922119,1.3320655263994572,1.465150582627068,1.2478263812791992,1.4465191749005133,1.598969305166111,1.557605203198215,1.6787118403008696,1.6175623051160546,2.229568313112005,2.248645901727521,1.9186493647934642,1.939863622549509,1.6931184739602616,1.7236302728450683,1.667037195726091,1.5812617160661884,1.57969923360741,1.3542842226052132,1.2671569451577083,1.1175942523766698,1.0709118107042068,1.0813675582286786,1.0157361373845366,0.9584407069461616,1.0148119780318876,1.0671534627841657,1.0329017599391954,1.1203676247850929,1.2047044413434402,1.15210082439421,1.2246310193915746,1.379823578878064,1.4082559351910438,1.3294619554538003,1.5104719417678338,1.712141141758879,1.7259947906349693,1.6077575641891648,1.6567428621551124,1.4441421411703934,1.4340663823673545,1.415306195783922,1.904340909122569,1.484943982602961,1.4801952944840302,1.2259609266238771,1.1740498114318063,1.14334694356257,1.2403922613216893,1.3210259090736118,1.1738444319593002,1.2580367605629348,1.5422808407860715,1.3508959969690852,1.2275495949836368,1.64646697907258,1.6172902859104963,1.401912320294282,1.4866606169602166,1.1763364325167764,1.2969294550096535,1.229319985240651,1.1434746295095195,1.1463140802170202,1.110944451476747,1.1188195001668224,1.0935010731532346,1.1987088201260039,1.0795288977702744,1.034751448860601,1.0387345407789041,1.0566644868400472,1.0502737263805988,1.0763680526659973,1.1396855220847155,1.1523722367222047,1.2843554858175206,1.2807631298962345,1.2973953435579264,1.2813000992792258,1.1868692601957465,1.1125538818296519,1.2190606525563112,1.2524485700747556,1.1874522280470443,1.1625470698410214,1.2582399480416806,1.2838623990722864,1.1573829893364544,1.248520395790719,1.4661239907746877,1.3187285844558452,1.2365785920113515,1.5191762560408275,1.6301733053591758,1.5270613074765604,1.5318730392318947,2.315734672764099,2.184030302640819,1.9621258031067133,1.8678977073618612,1.50324625891112,1.490620903460288,1.8773752973253994,1.65601227042905,1.6974055761213982,1.280872143896412,1.0524027101141913,0.9660472826662252,0.9987796186587454,0.8953988251282472,0.9373319445161246,0.9334230327922424,0.9998117151716089,1.0422043255460895,0.935194273778567,1.041086187367775,0.990341381890628,1.0839521532854972,1.0007960102469924,1.2721500201837306,1.0956729528962574,1.4133555799968844,1.7949522044440736,2.569498702092611],[1.048658987848904,1.0281314243424327,1.3093995839778807,0.8010482516467019,0.8972135919785099,0.8030482383520815,0.7483727056156066,0.773316986258905,0.7586389115375126,0.7024963066822536,0.7021084941922782,0.8092335600743451,0.7433185334705876,0.6981660727821714,0.7582632756148419,0.8220238164600515,0.7981174118008966,0.8327983478511082,0.9627863107032151,0.954043917282801,1.114473433526439,1.1053760860027302,1.5631076617727697,1.6098714253722184,1.4734796106971193,1.153137853282903,1.0146077433733622,0.8676657142289063,0.8464639079680086,0.8330863573198393,0.8124974365258021,0.8143154822503688,0.8299575419253533,0.8238862835088989,0.8378935114183764,0.8651766423724556,0.8641078064099862,0.8881206083441121,0.9325878530427746,1.024447178684371,1.2150269262607296,1.079261610829546,1.1385418565537642,1.3624503729902993,1.8616979950676966,2.7596598280825178,3.05671773404542,2.119762544344736,2.4818909802209648,3.7494569875896264,2.381635928415334,2.144674176812169,1.5319602298219328,1.2897201152189788,1.524220517832312,1.3758499845203918,1.3542682354536284,1.198421529211375,1.2206081407069749,1.6107038200676609,1.1805718846413487,1.1719587936028582,1.0792926755992063,1.164930004356354,1.1900468350343532,1.0813686701593475,1.0749630241913875,0.9089378355162058,0.9180108932637299,0.8973373204192143,0.937987597524115,1.105042484226936,0.8631965278813284,0.984351337464211,0.9367182267033619,1.087988112468472,0.9715179804132863,0.9576808547444224,0.9716056830522054,1.040233726830913,0.9451354742393808,0.9604956983193083,1.0828040607562162,1.1113690391226458,0.9763044581158667,0.9034341263027514,0.9101492992033368,0.8939237468254352,0.9145186585644445,0.8947911819848529,0.8822082830209597,0.8953699865897294,0.8851500099107671,0.8031828966737825,0.7907980158840512,0.8224571992796982,0.8675309424979311,0.8141066208794655,0.7825050266199062,0.8254206590115459,0.8203978116722559,0.9365028674311244,0.8753374802669908,0.8975106818880683,0.9160702599338705,0.8694854768079759,0.9643001032517501,1.0161002390860077,0.8977069508798763,0.8822723115369435,0.8401553653554248,0.8072194427585584,0.7616353500845546,0.7599759335258226,0.7928345889454759,0.7856616410449007,0.8323407531055665,0.8422566213902535,0.878173085304451,0.8385501457315637,0.8192399321609957,0.784057751513427,0.7901854907574424,0.6852123035899352,0.6699833542638892,0.7027247973775843,0.9078340166619658,0.8027604772331598,0.8698736429072075,0.9141917082924966,0.9484218592266357,0.9586271473607151,1.0272923151246112,0.9756043268059943,1.0010473189251023,0.9420589514861388,0.9081104925387675,0.8085802143898653,0.7222884193435003,0.8268265146093211,0.8844247897634184,1.0204256957854243,0.8840255899912971,0.8650669912508268,0.964675453976967,0.8688926638198011,0.8344701233572431,0.8115296053635352,0.843973286926309,0.7836179538339805,0.8288522956505943,0.7946783947567296,1.021292942318008,1.1867023027335828,0.948775054548039,0.8447908672849967,0.8122892279505752,0.8197355478872764,0.8400587236926804,0.8499276044604614,0.8791510687306009,0.8731089325932481,0.9039309077872963,0.9479284234489879,1.0783177927042389,1.0387065955443207,1.147475199026189,1.2618837644653524,1.2293381704584312,1.1264369900307971,1.0146889952270817,0.9425450319601466,0.9628093856568765,0.9309316980020828,0.9086996261736394,0.8962458676384664,0.8772291798543262,0.9741631633018918,0.9642239594823016,0.9948667106768279,1.0505239222184193,0.923279682138108,1.0307912575308324,1.1411748895420084,1.1010606808943573,1.1770368509764109,1.1583728379685405,1.7940809534984927,1.8354228631784433,1.4302535452171001,1.3890597597646517,1.178579968133493,1.2594571614263543,1.2655905175198685,1.169175769810658,1.1880669861192314,1.043876528297864,1.0039162320827737,0.9130291202322051,0.8988383552073307,0.9143232343895177,0.882258639237969,0.8637267048233828,0.9228141594969017,0.9587527766187152,0.9703282471695417,1.0998063575598902,1.1321493455615477,1.0599402403814864,1.1647624579295421,1.2881600598079623,1.2799153264978989,1.2320220534631576,1.3981083977208186,1.549918737508749,1.5763959167532735,1.4281959553309764,1.4408177769305486,1.275055892289219,1.253257141579504,1.186449993502138,1.5430920865993627,1.2783882018037,1.3588293379762302,1.0228251066802214,0.937076283438244,0.9138576956420014,0.9975179030963391,1.0710735386494394,0.9521627644214598,1.0177498079508753,1.2553113728376717,1.114552250801862,0.9830755311588262,1.3462114053879939,1.300141296757952,1.1483270218345059,1.282647655744271,0.9776820071653507,1.0388453875501982,0.9847521138040698,0.9351586049002434,0.9530354759723059,0.9297775902617046,0.9387827972301737,0.9178821612107022,1.0632686451713158,0.945798976987907,0.9174616467044411,0.9346706859360889,0.9547567771751758,0.9663182457274796,1.0015492927412624,1.024529984939565,1.050449220763662,1.2122197031298891,1.1793912344408202,1.1540285873484015,1.1400651953990033,1.0386428766165592,0.9589299478710459,1.0507031594881906,1.0770110620131579,1.0632702982024065,1.0015069472381257,1.0643822963268486,1.112137499521541,1.0101518316272438,1.0268044746042455,1.2307487630870455,1.1372243579919672,1.0612601530367187,1.2662383345764032,1.4066336323605322,1.3498074239078228,1.4081064572138275,2.1533974205760105,2.0498577295793385,1.6882448630076852,1.696497275347977,1.4146834934569374,1.4481126854846635,1.8440261357724586,1.6723513243868398,1.6575689495523076,1.3068651062361525,0.9986999141031015,0.9424307617674978,0.8853213974580356,0.8531994948527724,0.9289656886143215,0.8689786256597526,0.9250933541972234,0.9827816302819876,0.9078203119313768,0.9958576533143182,0.9326629464859375,1.0473436828026048,0.9704527101453796,1.2194005896603437,1.0485446932195235,1.4774629924531941,1.8815229140205654,2.7106032646032174],[0.8677288074625154,0.8529921012806342,1.1422356935878213,0.6738681763764472,0.8002646855275318,0.6947645457529336,0.6662926037622167,0.6941570475146823,0.679452263644474,0.6205332280752173,0.6203900812293589,0.7239993444454287,0.6480288596676743,0.6206593761610526,0.6728291851024619,0.7106631457874453,0.6934162224862671,0.7166732892051673,0.8358264439240871,0.8285071599704162,1.0047660187639074,0.9534215252051073,1.4209178324077925,1.4663736005390062,1.3549866810315114,1.040276794809807,0.8848201888173136,0.75249960736657,0.7157198939335544,0.7209471178309683,0.7150438614473633,0.7111708482850165,0.7197450789895767,0.7220375309502918,0.7294896685853584,0.7461543410554561,0.7460892379050635,0.7420166659761451,0.769667283939513,0.8426442909004918,1.0731107871534604,0.9296687970472652,0.9872827030090201,1.2205865215122786,1.7119719692347388,2.5644254619045896,2.8406868503234777,1.9488790310731114,2.3614479209696086,3.5565738661767203,2.182855903692938,2.035577885056384,1.3733932431639102,1.148764402016565,1.4042328974994387,1.2049584406451004,1.207544166885206,1.027186651551771,1.0386525687787205,1.5469455110478247,1.0685530207132905,1.034240079673625,0.9284752419800997,1.0534160281346852,1.063474115321869,0.9440029731428198,0.9835009831647689,0.7924856298423013,0.7990194534876127,0.8217915706789674,0.8836214063847677,1.0803968312798,0.8217169931168817,0.8935209954009885,0.8460509328845104,1.000846781017469,0.8378150835987936,0.8312134364965629,0.851118354647553,0.9060732178587909,0.7760036704960895,0.7828419663262066,0.9918399400016407,0.9577399646221806,0.8212628121027636,0.7381614172388894,0.7460708502571022,0.7718417544365681,0.7824220648254259,0.7862793983090255,0.7753866264416548,0.8228786935987413,0.8147703972034779,0.7009144475918384,0.6934175606140724,0.7347996040078699,0.8070841757176848,0.7374079631300992,0.6985853120529293,0.7385386812054404,0.7203425952696708,0.8285482894133346,0.7594820569873644,0.7907135274472716,0.789697385775113,0.7657956174554681,0.8571511344843883,0.9319160396224778,0.7924597918647702,0.7827183979889085,0.7335772266464564,0.7154084026368422,0.683277953427985,0.6709959176626518,0.7050425342700215,0.7148599109611705,0.738854650137088,0.7491020206510309,0.797028230911154,0.739715977568659,0.7563023020310911,0.7225898256011266,0.7308269681326015,0.6212948016103164,0.6023921339558458,0.6274742313059785,0.7736212495597958,0.7185574955766846,0.7649541432762548,0.7983655999926327,0.8498687428597328,0.8609154384080856,0.9197253904140691,0.8652745519092132,0.8691968732250821,0.8524475592561983,0.8944598061931298,0.7373074203368343,0.6454784813689987,0.7048520648312899,0.7634412862150592,0.8919576648986102,0.7502343421051039,0.7272445389880888,0.791610527427515,0.7573767059980829,0.742890992241765,0.7204139783576147,0.7335208568373295,0.694133670566613,0.7151574833833692,0.7078080664264805,0.9509341513702317,1.1180203841817626,0.9075634799876007,0.7504052446817165,0.7133538479032625,0.711848012598183,0.7322008386072499,0.7573883981593759,0.7621192562398831,0.7400304995817911,0.7846203786199604,0.7993294532020058,0.8622421296347129,0.8726490317414854,0.9843985111504387,1.1241966696835641,1.125469584206805,0.9950036728658583,0.8915669457458771,0.8095332089676898,0.8252058069804917,0.7978909646351243,0.7805901404654247,0.7763888515970674,0.7790967157296189,0.8492324848675874,0.8389292957828449,0.8506288044285047,0.8751354230361016,0.8045035438942437,0.8946055525293005,0.9974948267159414,0.9477651725925829,1.0194234910607936,0.9900894598166353,1.5497715694033953,1.8398426196417312,1.311917798997966,1.2741635811499727,1.102926777262549,1.1762418812241036,1.1913031147077604,1.062229317040166,1.0827416469337583,0.943415001615607,0.9137399508360095,0.8197289322366479,0.7967891384010541,0.7762656293944643,0.7288411796811799,0.7207740910531841,0.7374852044303574,0.7700988429299571,0.7853566772591825,0.8818912346629652,0.8990063370487092,0.8504636468338364,0.9707865653581464,1.0751232823468133,1.0711731621745397,1.049731402777151,1.2426551320035326,1.3708397421697054,1.3614538564237373,1.2465323507691308,1.1802749120117721,1.013892290930166,1.0123045870859626,0.9827837607261617,1.3536341707388972,1.1117555726876573,1.284754555949336,0.8825835605108847,0.7993595324879607,0.7923740557774057,0.912420538183654,0.9772056672377621,0.8376815863204132,0.945013665950755,1.1907978619173167,1.0614455038222927,0.9269111392957509,1.2990849873286965,1.287065937103396,1.1112620340624209,1.2744267319142204,0.8846395477355481,0.9403170968906427,0.8902995227667481,0.8239227362598498,0.8635163149404237,0.8107665414468654,0.8294545535133205,0.787506911870556,0.8948368465081408,0.7852700566486748,0.7617956752780682,0.7526531943136483,0.7653221351343923,0.7937283231570454,0.8007277532984781,0.8183567927489659,0.8572994839770598,1.0830495900015067,0.9742823363478463,0.9437366106375787,0.9248828627709782,0.8320944032405228,0.762154185719823,0.8712720536439982,0.8566545723069555,0.8465893490041039,0.8225235315104561,0.8682462578252168,0.8914699555330478,0.8178390026637581,0.8867447828385477,1.0778437779620735,0.9126600999779637,0.9346970589703991,1.1276303580313582,1.2432359562855182,1.1301397319683337,1.0923311184326694,1.893492146430674,1.766643818360592,1.3812259477840252,1.425915903977177,1.1487510670084062,1.2597659617939003,1.6776010293487238,1.35169383185431,1.2096664144839913,0.8089961156790126,0.7509543442931274,0.749282324645251,0.7520660689865901,0.7430962450183629,0.7940196981594496,0.7458653209773412,0.745136380038435,0.8619380539533739,0.8018580070137952,0.7921716671809012,0.7380276277423826,0.9642885395900014,0.7988974255704531,1.0576374519426939,0.9022107176164584,1.5718000746164191,1.8858182409661857,2.7104215633248443],[0.8627443570283677,0.8626161545612847,1.1849457397381655,0.7195694501609782,0.8017095970078444,0.7105977500750802,0.6487245031294679,0.6739378356626088,0.6737260214327003,0.6021114094837411,0.6033204147690711,0.6864883627600014,0.6060325350202828,0.5961475586769169,0.6382334135077389,0.6533081540080374,0.6433955846736328,0.6648599201074865,0.814138719869544,0.7572351909879252,0.9195236389524271,0.8539631917966717,1.3195636975849057,1.360131106525506,1.254659028972359,0.965310746496274,0.8106575026899592,0.6781883875930754,0.6495483976330563,0.6253308720467007,0.6527320670492778,0.614700668682735,0.631996656112455,0.6310558572815185,0.6292187497378198,0.6521228707195315,0.6360630608973303,0.6444400161594032,0.664574234299383,0.7221528152278776,0.9836195882432816,0.8307623792555445,0.8819834167802004,1.1124274789021238,1.670387813114253,2.5655644179892434,2.749665870425819,1.8485072932981823,2.3737412030944864,3.45501299911583,2.0489865619900427,1.955839387275603,1.221504153811004,1.0481151587456845,1.3483550247275908,1.0580082944122011,1.0648894589934588,0.9066081469371173,0.9095840313490577,1.4076746721170086,0.9760526786766247,0.9360070878530752,0.8430834395202621,0.9697780531405923,0.9623132511658679,0.8533173977814433,0.9137844211062688,0.7361430422761543,0.7884556992319735,0.8017508603097178,0.8767721693667564,1.0715177349362608,0.7862386399417439,0.8809657670692818,0.8028669372953802,0.9535102922196401,0.7683596796904346,0.7389813819688212,0.7528247349215231,0.7898940523884568,0.6602533340588291,0.6513717131147657,0.8798130878247574,0.8465516308735164,0.6942739523447783,0.611779860887767,0.6254421610726497,0.6689282964078647,0.6778825894445808,0.6859073204288295,0.7001542224513869,0.7576549616159075,0.761216982497068,0.6372131824840164,0.6323682636699053,0.6930384651284816,0.7691856671906323,0.670216821631339,0.6359052914439995,0.679003068592204,0.6336867082304515,0.7259163591981709,0.660308559017073,0.7042737287299197,0.6687656671629971,0.6826118106886141,0.7694904530301873,0.8585695498029895,0.7444514011382977,0.7206671502531308,0.6918396070228469,0.6348900618168358,0.6282347482396092,0.5914570268383148,0.6543926133764658,0.6627707792285049,0.6995602839635369,0.7184803239041976,0.7645820056752678,0.7081969429835375,0.7289692996681648,0.701144905715778,0.7240591469611547,0.588254466875716,0.5707569572498977,0.5554892645128953,0.7229201842128542,0.6527624759408022,0.6896623526638301,0.6865125645437206,0.7492437206555331,0.7560286993363998,0.7901573257573012,0.7399228591844257,0.7402268741332529,0.722886232924971,0.8372069933241968,0.6283428624054189,0.5659674061269392,0.6208872948590568,0.724632251788734,0.8268431916600762,0.6854420365552497,0.6479268031856881,0.70119982644457,0.6529734267020503,0.6477691906204806,0.6236923739284631,0.6366315340852085,0.6374204247880249,0.6548336862325038,0.6690629229832193,0.9092617301145299,1.0852805677014332,0.8786282430893823,0.6983367077697776,0.651156384686169,0.6263838778527797,0.641532228883036,0.6553723321658558,0.6310715024823305,0.608135959761186,0.6615973875990764,0.6662436542015187,0.7306001665435921,0.7469263216334979,0.8478254090619131,0.9992315005004107,1.01772536257709,0.9015389831407642,0.7743649935696534,0.6776274740333518,0.6835674686906501,0.6468409366158662,0.6355910096719323,0.644358394752522,0.6554560254982844,0.7104103237082564,0.6917038479693273,0.6951633407411729,0.7452061549741166,0.6676019912905542,0.7383845793835005,0.8246140075975547,0.7997320556772208,0.8740644454542624,0.9008017026749472,1.4012238250867728,1.80060645108303,1.16205091235194,1.16484647219382,0.9910207874048569,1.0519403538360008,1.069603723466018,0.9192002525486238,0.9193747898428852,0.8350787010466555,0.7998350872260892,0.7921602713146271,0.7875285058956715,0.7834456374493688,0.7546328228308722,0.7487840132501535,0.8065474467933083,0.8299566577743551,0.8501166343107507,0.9663745918614621,0.9703078704935993,0.906606530613418,1.0236343616478227,1.1165314577322165,1.0966810797774695,1.0755917280061356,1.2476160974361323,1.353442472045845,1.3490510079868017,1.2582752910229995,1.1760201562920007,1.0561410701561493,1.0488696459228481,1.0025424468957291,1.325413210873153,1.1325307697007012,1.3479350362941735,0.9256277678249607,0.827430142260778,0.8015728017285374,0.9246404976232604,0.9623678729598563,0.8589074625155526,0.9315974848169918,1.1203354764279922,1.0206357350918054,0.8861515137334421,1.2266152392085021,1.1581426268752064,1.0815167056643842,1.2700663044440166,0.8549729161211539,0.866423305505128,0.8291411688201479,0.8307972505025205,0.866084119134341,0.81605599959955,0.8397233559807039,0.7971440779226832,0.9096589034391966,0.804014053856504,0.782359767141758,0.7876246218631748,0.8004052610660501,0.8286304038252896,0.8451021546015828,0.8578854020596554,0.8932666882837801,1.0961223009603132,1.004388419325784,0.9677454931466442,0.9650736499087643,0.8762606254143902,0.8088141981769222,0.9173178426969544,0.9088537286686705,0.9174198439087964,0.8817177180711229,0.9186678616140723,0.9518446112450424,0.8860733070527154,0.9060060774942887,1.0945824201111876,0.9852657284651984,0.9693681042553319,1.1198020554081316,1.2511473390585364,1.1720050017950405,1.1595529695622904,1.8359377409456974,1.7856473838149154,1.3199202919179394,1.3693391261749353,1.1898769458243925,1.2843658817841235,1.662306483536308,1.3585616140161754,1.1960877063517625,0.9519527262257399,0.8908176530412478,0.8135527893684122,0.7478915536815082,0.7261800869642365,0.8186112728418516,0.7490469593155891,0.7523575631312104,0.8749360883796938,0.8017910502091035,0.8141212542230106,0.7471439610758135,0.9902266708513684,0.8199877425259589,1.0391573950612103,0.9748390440622299,1.7291264687132895,2.1606312589440413,3.0042988454292154],[1.2618291557845598,1.248936514196879,1.5209396725764035,1.0767810588682347,1.1112093760575665,1.0171952873157635,0.9263539778224265,0.936813587716981,0.9192633360112215,0.8298644404093484,0.8267776090862761,0.9163728907367624,0.8303780631726835,0.8033079253201005,0.8370488937453421,0.8889330368017917,0.8648704815850832,0.8972616605144907,1.021541818561698,0.9894643359702349,1.1204279363558538,1.0977969979027873,1.5140924308027117,1.5531911682039163,1.4453403232759814,1.171442433479464,1.0614936900470988,0.9213084400194624,0.897857254683258,0.87069413817154,0.8656255848737462,0.8507943532420691,0.8792725873211732,0.8490175290680986,0.8569486251314211,0.8880676517262538,0.8789382561153558,0.9314316921849346,0.9768554738743734,1.048681114189643,1.2496219598820326,1.0985762021310506,1.1544787572394128,1.345230023955369,1.9029176008129696,2.855715704195115,3.0161379802853436,2.087868293598686,2.6088901918435434,3.7212274614169094,2.32161353204258,2.1498052437173074,1.475752857013434,1.290999065067848,1.5357462806072566,1.3201406558721336,1.3002579763818327,1.1617617111232073,1.1921099196564806,1.5198456755819876,1.1799101430484564,1.1592427312096945,1.1046583768470373,1.1582010787770192,1.1603337646223228,1.1075204976519524,1.0914083828184227,0.9472562055137845,0.9807373955258076,0.9623797249057349,1.0167612421007053,1.1610459975648864,0.9136466349635618,1.0688147934979308,0.9716114165634724,1.0752378081511218,0.9799887732476198,0.9508732975116676,0.9632618050598825,1.0403120526237353,0.9573696898690048,0.9561904093106147,1.0777362336607859,1.089740072923076,0.9702171189004279,0.8946133544929118,0.918779121490578,0.9193228012889064,0.9123218428401665,0.8974500138834623,0.8988760081781354,0.9065239169256535,0.9196837632849321,0.8577783495768619,0.8591448163190731,0.8987382214099472,0.9593863403624743,0.8809574073041861,0.854663622727396,0.9119188560504388,0.8718971389686753,0.9608384320748186,0.8569092505551791,0.8827211851233987,0.849025145513253,0.8220080017135527,0.8848329370684611,0.9415514784114719,0.8555002684357162,0.8670355899162377,0.8921386969546125,0.8205985577960354,0.85712283481869,0.8336800491949252,0.8663136278018795,0.8625074822659028,0.9185460806000081,0.9129661710514516,0.92748035075582,0.9226143720360067,0.8914664658017698,0.8739684875874955,0.8740179628585505,0.7889838380409021,0.8015227096711001,0.7901869183231828,0.9868759431637494,0.8359720715874123,0.8579970405794133,0.8462067664988511,0.8653097371982453,0.8529006765976671,0.932919201800804,0.8821945889975731,0.940495656622337,0.9365597498901147,0.9335644041364471,0.8560034644657506,0.8234794651912105,0.9009176157170327,0.9676486713456185,1.082661967618917,0.946820061837406,0.9346680584166659,1.0334811746900976,0.9169079395621208,0.8985516929756759,0.8575155928977818,0.8771885822578843,0.8659617825145306,0.8879528567597613,0.9243550898528514,1.1072060918820466,1.286176491140248,1.037466051708207,0.9408222618994383,0.8942313491628185,0.8629970063846174,0.8677864290138652,0.840184000795951,0.8697011523655818,0.8803987326425473,0.9335828584957959,0.9507986640119259,1.0956134765300332,1.079458289973413,1.16203712396606,1.278042057347228,1.2632756993324759,1.2134022280329975,1.0541791369424873,0.9721281857349833,0.9554576211779472,0.9033076199832945,0.8763229552384622,0.8534794688355479,0.8695344011358032,0.9311466890703053,0.9158267485848224,0.9412907833620622,1.025134734529515,0.8614000595252356,0.9467672400699184,1.045099588370996,1.0566083527215708,1.1592972206295422,1.2068090747426932,1.7295364045771304,1.869821207029921,1.365136076975314,1.3857929435485246,1.1335598904283333,1.2188325504444817,1.2098467882724222,1.0685484835199617,1.0202390122385496,0.9368764855737843,0.8474347345864239,0.7950393309040732,0.8213024937790246,0.8573448794964527,0.885170494495201,0.9159725695729597,0.9960971128380858,1.0259227995111402,1.1175809262144158,1.306828913075145,1.2726639661575991,1.1974172644032524,1.360513471106768,1.4691916018686269,1.4344189460007568,1.4083334191042662,1.5687750971059071,1.675799204696393,1.6812379276496412,1.552170897141578,1.4832116320872963,1.3640116153409418,1.329496932335075,1.2135290868234647,1.4761519372031078,1.2743914258532132,1.422390144453477,1.0209554597987875,0.8827506371481328,0.8394288028579535,0.9224648960379253,0.9838958269853894,0.8789535867946279,0.9288887543498104,1.126602883707396,1.0368696711575578,0.8747282994063285,1.1835986584765388,1.14214332120431,1.0793530387849404,1.2762238126584773,0.8591231018393424,0.8777987146405154,0.8314693793264359,0.8698358876182546,0.9013019821463131,0.8846484388471331,0.8953966248694937,0.8667782025163215,1.044555485415706,0.9469527307972209,0.9358487183482885,0.9924270821467134,1.0374009328890745,1.0861326480745255,1.1467899010837197,1.1300348815282903,1.1812889198375007,1.363704111378866,1.3072670189546907,1.2611234783188683,1.252032264123056,1.1139718128958154,1.0020411859815959,1.0704644492432784,1.1266932238408613,1.1610397889414588,1.0210969716000537,1.0859941912933813,1.1742137522677614,1.044993169610765,0.9891109535499393,1.2525485619729273,1.1947429776792862,1.040245355193903,1.2025620386049711,1.3821614404473326,1.358251624899624,1.453689800930212,1.998922369395407,2.0518055114813607,1.6186425404264657,1.7145266588912784,1.5510003429037353,1.6401367966986016,1.971282702016423,1.8116653331705193,1.645826756950302,1.3842669921629671,1.1246357628151733,1.1144904353349359,0.8883034250460877,0.9608008163184601,1.1209156566367366,0.9745825168354656,1.0252106997729462,1.0820114604800266,1.0804571073194487,1.1603601695797994,1.0984870682597327,1.2164006173049404,1.1896100467783088,1.3466377141065984,1.254597719610565,1.7487397728932788,2.1821945155588356,2.9671765185306427],[1.006111573543422,0.9703008690786761,1.2096198538763916,0.7472236895271424,0.7774196379591737,0.6857032359964398,0.6191820581298617,0.628123569388449,0.6325399714216453,0.5872764596896526,0.5844845161220704,0.6962217269143137,0.623003937943235,0.5918425226584055,0.640891496430235,0.7086145826387261,0.7234079262137886,0.7549228669153509,0.8875248289100005,0.8849351160114409,0.9995120073361538,0.9882659796074061,1.4043494281320839,1.436890412161452,1.3461445482444254,1.0536867720198668,0.9701100031076885,0.8153597049920042,0.7937963480917528,0.7447480881797877,0.7020822069636804,0.70106380317811,0.7123832656229194,0.7265055219105083,0.754677540895008,0.7887388239250023,0.7941930229137817,0.8761690498592968,0.930083999381173,1.0251684899865356,1.1983119310366404,1.03108600174786,1.0989025522479186,1.2782727905079514,1.8399684034195112,2.7753426217123356,2.926881734218142,2.0200893308091348,2.572101078716136,3.656047380455933,2.254143628193683,2.139222987502247,1.4451380902382003,1.2728217828045685,1.5405214600909123,1.2824993733748327,1.250268660453867,1.1201705624797746,1.1527639168537505,1.4900469849313898,1.134850453101365,1.0857492808508442,1.0183236894729857,1.0620530573406766,1.0580124098028427,1.0059723802099976,0.9622152445780668,0.8312615806188405,0.8485573841184182,0.8234516447216561,0.8688658912432189,1.0270329406891447,0.764528949480669,0.9252887275207973,0.8402121825882286,0.9872843082344878,0.8745535651985523,0.8496931423213623,0.8875577663634959,0.9851375443389391,0.9309348434568522,0.9385178056541305,1.0525597160661648,1.1009978959760058,0.9737910466145591,0.8763360239858587,0.8733942809347116,0.8742377422951575,0.8318244630520853,0.8060448422542535,0.7937676659536111,0.7707187677988704,0.7743773951422877,0.6800650797699301,0.6726007887525552,0.7049304290204131,0.766405820409836,0.698786762849419,0.6437094757331612,0.6769250209241544,0.6902153068750828,0.8097553935948338,0.7563024338319168,0.7872193794946855,0.8578040354552832,0.7959759737713075,0.9072604804432233,0.9601293448102841,0.7991862576009525,0.767733328093912,0.7175421105641462,0.705918547943244,0.6361090604236733,0.6917157975915963,0.7014251982676966,0.7369279001954727,0.8022044492986147,0.8057991978864372,0.8315463277759206,0.7909563747961598,0.766970377736874,0.736259098500899,0.733587645420734,0.636261543946402,0.5835166142010894,0.6486933692879405,0.8210500894289722,0.7311440492198611,0.7990531692784106,0.8794380751284536,0.9786562659029086,0.981992788774147,1.0414234981431336,0.9638334690943033,1.0126040589851608,0.9479151582714297,1.0019354087453498,0.8301078162430513,0.7522123468340912,0.8305128292832933,0.8398351654337133,0.968891921394295,0.8419038372607087,0.843148121959015,0.9546966298090208,0.8501698626806038,0.8322120679298756,0.7620038181729004,0.7602829329704248,0.6553595693857921,0.691896286091017,0.6438933601197697,0.8756958329170954,1.059000499064836,0.8446019539264489,0.6940498563407422,0.667802462056607,0.6983603476522778,0.7262043010599696,0.7545896234004812,0.8302383272196951,0.8392136149542192,0.8842177444842382,0.9155347637306608,1.06660002816117,1.008640421656047,1.1422059126048838,1.2229759013440784,1.2356156695831702,1.1619141323966875,1.057253349363245,0.9538951165827311,0.9605583880824798,0.9088538440183915,0.8687442338605023,0.8463376740736505,0.7920921307195505,0.9154059983302624,0.9059717610246327,0.9618248945891966,1.0734749410332778,0.8936103663246294,1.0156524144534569,1.1055520551611484,1.0925629876128462,1.1573829919794782,1.1931678914969042,1.7134962566598415,1.864402168839641,1.33009045547077,1.3672738809573302,1.128728145390535,1.2389241312143942,1.2535722040595991,1.1690610544921787,1.1819555017782535,1.1204269868139594,1.0319818915798058,0.8541086884513426,0.8308331746396267,0.7255962434485651,0.6645280503894276,0.656693322230233,0.6587262519746601,0.700109507415904,0.7268727224875886,0.8758822038549379,0.8936604375817725,0.8368195547993861,1.0141565572053999,1.1617161426261078,1.1443698237556112,1.1185290452488164,1.3408610466251871,1.4773265536489038,1.4733917146864552,1.3304394919840588,1.257899052385261,1.0629952261367879,1.0419895031611865,0.9594515442274159,1.317676192126049,1.0766216643245703,1.274324333618285,0.8189434764398956,0.719852411169893,0.7483482027394562,0.8443589347270589,0.8953985073542403,0.7832930923409785,0.9221762099595596,1.0945377222984496,1.0067075016130278,0.928326919000953,1.3317860774877077,1.28456057941882,1.088024112299765,1.4445737686820552,0.8727474411438606,0.9918411147555998,0.8750008670195364,0.7789026222276372,0.8187920090102444,0.771340674493635,0.8026389955728589,0.7561069528431058,0.8347406015987475,0.7244530473801392,0.7128826937141295,0.6914696613583692,0.7150401802553665,0.749543086043392,0.7729749567261901,0.8008939178873852,0.8522413055153228,1.0899057604545137,1.0024227556510468,0.9576922953718763,0.930499777783958,0.8028416974153038,0.7137747966251664,0.7871607161218256,0.8221391976108524,0.8116266109913716,0.742329208441642,0.8052721562878351,0.855984252243442,0.7436948527627903,0.8053285962567548,1.0219775988455782,0.8788139679729251,0.8665186211972559,1.0010012923852187,1.1766894458788877,1.087453735375911,1.1400932727645798,1.7827720822142932,1.882538675524054,1.4367708892867845,1.5764682667606562,1.2728443804857297,1.3809272554415617,1.8571438643337406,1.5744838014535047,1.3819413986284421,0.8232939132345021,0.7042121174279478,0.6721107226682171,0.7396976839242805,0.6909513495388879,0.712162616297098,0.6721308336870602,0.6830660357313602,0.7798693618145185,0.7277819187543942,0.7829987169473152,0.7243499813597837,0.9193898649067044,0.823788404294902,1.0979946051185079,0.91199771782235,1.4411117460575227,1.7824381748112177,2.561527149058077],[0.9908738354249766,0.9254748538852228,1.096906331447322,0.6646357255832965,0.7732591509563754,0.6724870495374793,0.6270369221505361,0.6456757740568493,0.6297113137799933,0.5965465687074392,0.594133261267681,0.7226036104943659,0.6522890710199432,0.5989160589096721,0.6549594739835579,0.7302831030076788,0.7501423690322764,0.7766825003348218,0.8907342461416434,0.9006809285904581,1.009229394312952,1.0085718523063356,1.4228864856118821,1.4541125552419392,1.3643410401103115,1.057467811427798,0.9865306707032181,0.8338069546515979,0.8284186345855085,0.782558699482156,0.7280191227132262,0.7428222926215636,0.7582212600622902,0.7640862683861732,0.7996274837319686,0.8240410903054338,0.84388896088857,0.9146297429614708,0.9713305440710525,1.0712901105938273,1.2169592861406204,1.0531714790037816,1.1273862040043696,1.300604121799827,1.8471647667105309,2.7736136791619583,2.964629706387404,2.052607435887988,2.5670576779471954,3.7147932157722674,2.319286921408914,2.1760182495951246,1.4972476228518623,1.3020823792840721,1.568747697948393,1.3274795453755528,1.284563961088864,1.15950469895184,1.1972221104550416,1.514323080330133,1.159643330576689,1.1119611563402496,1.0501039845963065,1.0821561854922255,1.081922257544337,1.030690852078314,0.9696937892586313,0.8449823106042124,0.8455446771953232,0.8348460135668642,0.8572835482656381,1.0067344304414383,0.7637360044807647,0.9204189066726284,0.846215074346075,1.0003392250753298,0.8986480657228573,0.8854111428793454,0.9269959871344677,1.0251680964152885,0.98450002375112,0.9965520808902988,1.1078899183911555,1.1656037135663502,1.0363662234608033,0.9373860770518914,0.9193180919417688,0.9243539106612403,0.8670379674190679,0.8476479908512337,0.8200661563396703,0.7796182033807376,0.7920468247072456,0.7094076265618615,0.6978858869619515,0.7157917950018937,0.7670291030730871,0.7278427006859776,0.6769504889436722,0.6988908268797561,0.7411273142360196,0.8635598566626819,0.8267837240778355,0.8608872714526984,0.9606463165034622,0.8894011059073482,1.0172552573655638,1.0475162719687232,0.8940178745204801,0.8527947906623063,0.7926461977249147,0.7782101269998547,0.686330937880656,0.7441315059388001,0.7301808706649466,0.7569076119520133,0.8170684861372624,0.7968061586089986,0.8246978634202632,0.7931498355120686,0.7584752617595938,0.7379396698050726,0.7206017872095083,0.6471717469805037,0.6046394547304145,0.7007007811942649,0.9144233921536715,0.8104429554425489,0.888861747656376,0.973652036413956,1.0906612874140942,1.1098029646329128,1.1536951282697288,1.0630197094607352,1.0945223818366947,1.0102758827030902,1.034589666609452,0.8565376556974168,0.7558043479381423,0.8408134464480862,0.8178376861619654,0.9577982562043541,0.8353417549749212,0.8519844468851893,0.975857886578958,0.8840735902873079,0.8651980906199209,0.8105198557740737,0.8227931834454775,0.6959322888072335,0.7538394452136683,0.6685057563396222,0.8896510851684536,1.0626759911447465,0.8587751772571217,0.7204849457461279,0.7077121199487796,0.7640834511272121,0.7774887610532512,0.8273893180298527,0.8940632942718627,0.8917954232528377,0.9208965410668148,0.9660273014968399,1.1253999409551627,1.0303929270764935,1.1856904708214426,1.2574137126139002,1.2695779205063202,1.1739138143824477,1.0950586258932973,0.9906371106711838,1.0170780801496784,0.9761303798030969,0.935979151589827,0.9297396953903652,0.8524677827937375,1.0009533657381193,0.9726528625711488,1.0458945986742325,1.1496001866270653,0.9875133102576715,1.1137457339843937,1.2085505274280726,1.1678085064009467,1.2158202902729576,1.2282312704945346,1.7978367163660922,1.8591605115735546,1.3917802193704116,1.4167543383717278,1.1995010261072543,1.3219130916953243,1.339053024524284,1.289068456628117,1.3296287818095147,1.2473272474208001,1.1962392822934973,1.0178557454094415,0.944085108212388,0.8000104333857854,0.6989796246922608,0.7003107016731923,0.6338279182017933,0.6419358819345058,0.6456652314218467,0.7386002045190245,0.7658247760658824,0.7414515187300427,0.9059838116969303,1.0553236921638305,1.0582741208579394,1.0396611497521735,1.2639418023860487,1.4374427062182698,1.4363549536713267,1.2809141104924429,1.2350682728286793,0.9868999439583043,0.9941837845137188,0.9252746297538947,1.3458856341243124,1.062369749579457,1.212692204965506,0.7945019201369095,0.7712823233102692,0.8263410041758866,0.9383547599183678,0.9626838227290387,0.8521203422820727,1.0172382580846973,1.2123338976657951,1.125579769964784,1.0750521169709448,1.4552381141302992,1.5041476833177816,1.2322838563680925,1.5620388132595748,1.017924638873681,1.1384684545157253,0.9961762088256103,0.8324676943129288,0.8439029695690029,0.8179422779492674,0.8432063161063661,0.8118613639174517,0.8171171915457771,0.7320267023347962,0.7452142664114192,0.6712007661997252,0.6724063135584628,0.6912452502483152,0.6958963492839008,0.7373170489673493,0.7877043398924027,1.03991195265692,0.9367796768836922,0.9033089927619213,0.8545175855204886,0.7316167639023253,0.6778153116409438,0.74424208934139,0.7550101411460108,0.7196210080817425,0.7130643631523358,0.7464505311856942,0.7764342675286443,0.6882795369615453,0.8321906568386865,0.9992286841679129,0.7851644196183545,0.930000778517064,1.028134848588536,1.1518547515605346,0.9993699586508978,1.0175764767279636,1.775885593976464,1.9238470478642122,1.488264865480031,1.6209078865354003,1.168753036384033,1.2598396925754418,1.7672940902898469,1.4519329417637594,1.3714820375205037,0.5590786088531101,0.5942857219754286,0.7002531644191374,0.8620748592044534,0.7584792662853463,0.6960923589497787,0.7064776059108259,0.6737768078052776,0.7984536474046204,0.7231500239096799,0.7415373522484647,0.7143781931882162,0.8979352793518157,0.7820226985899914,1.1140395238218623,0.8924842972519222,1.2557887170167783,1.5527070019680655,2.3310398766907343],[0.9580820890153017,0.9012855015449346,1.061646056127615,0.727183087388584,0.8988794381709447,0.7719024969514781,0.7509519329023823,0.7524107166964692,0.753705125628135,0.7070151964517638,0.7008298331802923,0.7961723010233249,0.7301158139686074,0.6967926770032848,0.7279147770217296,0.7672886790941733,0.8011142886484297,0.7954269441369596,0.8724651434884062,0.8629924546147881,0.9327261229248536,0.9409224650666644,1.2983002620313933,1.3226099184563809,1.2546927917982924,0.9926908799863916,0.9621530371266053,0.8234131486988892,0.8313997840092725,0.8145511598596815,0.7729157076283872,0.7900188038087241,0.8066231057390507,0.8210543517104013,0.8310152273250456,0.8465499395944771,0.858589973724095,0.9055182224333909,0.9409628430034382,1.0418109354453131,1.183759593645516,1.0189875902448053,1.073035165317156,1.2270151118747046,1.7723620007945244,2.6804908019571414,2.8185093403093364,1.9446949098404973,2.5351118546170115,3.5965912083057363,2.1920806386840597,2.136691066213254,1.4310110346818476,1.2536908849501545,1.5302715391237804,1.2545196180583351,1.2335865881554307,1.1013743457273861,1.1378740827575595,1.49092684067157,1.1126870612705329,1.055422069424831,0.9976421316842794,1.0118645771824013,1.0001097100172431,0.9675523011844254,0.91740768313394,0.8197419904115749,0.8314833411983514,0.8600347034618466,0.8746534383258775,1.018359188424688,0.7912863562069957,0.9003880346452857,0.82735666740939,1.0274433598356645,0.8674918671636839,0.8663165485663818,0.9048537145200376,0.9790485338513221,0.9642531268613104,0.9685698413348336,1.1031352460187773,1.1098510794377363,1.0043382651316621,0.9215708020913663,0.909839566574191,0.9269993794010266,0.8628731809980605,0.8594668635384968,0.8357921240425226,0.8063614378460472,0.843195399801288,0.7495892644208627,0.7456655956876582,0.7595285689029957,0.832818810691784,0.7887200411947931,0.7487718935312874,0.7937735690185099,0.8054970255194819,0.8966964088881147,0.8511689503509203,0.8864733200891106,0.9803294548981847,0.9427025710788188,1.0650321515783066,1.060019551627529,0.9565298219195488,0.9455305877454261,0.9078752732920088,0.862551106772655,0.784587987952636,0.8259246676007251,0.7997476232100855,0.80685894324301,0.8316552979176781,0.7991168860926962,0.8539541176075616,0.8118767475134535,0.780708859886835,0.780513759800619,0.7639283710644108,0.7330162033311746,0.6968391935124232,0.8018317113911256,1.0251235774420595,0.9255923846362816,0.96952795483526,1.0086469470841446,1.1281812010377925,1.1291573457278616,1.1400887565865434,1.0676507627714265,1.0908992086527207,1.028018518421964,1.1081451613172748,0.8784085354180825,0.7815271800590905,0.8394141258419405,0.7736425718232669,0.8902595631218438,0.7995206785085114,0.8356665719312482,0.9461195535812632,0.887899835598878,0.8869393021139885,0.8566746687643418,0.8693367251677847,0.7746213187011428,0.8455421402728431,0.7609523673640494,0.9363823269338059,1.1140115712714922,0.9594791918803225,0.7658903768351059,0.774937873130177,0.8257663342317547,0.8345007000350774,0.8882278902992877,0.913290591955953,0.9046541479729354,0.8981622549647971,0.9262306316571536,1.0508417782448094,0.9540711139974628,1.1262389499963716,1.1910077733657287,1.2135926318731376,1.127992463076701,1.0681497073786816,0.9630266669723614,0.995196497521581,0.9638824523933055,0.9422439245896688,0.9406295392750573,0.889031471914085,1.006352532702021,0.9464457276774043,1.023713151473945,1.1056904867936435,0.9879111644211196,1.0881688566809984,1.1646576011366514,1.131873973866772,1.1778792316895599,1.2127687803028222,1.680690079960064,1.8784179318418148,1.3295959304196643,1.37469825388841,1.1491985550707353,1.278894845473884,1.3076867804168695,1.2540065901852744,1.2994885118066408,1.2404207240325962,1.2083400774843813,1.0687773458937218,1.0191873449680213,0.8288174783722717,0.7274710296934797,0.766058182058293,0.6653786172453379,0.6024439004241818,0.6118131072183598,0.6287000240192789,0.5976967065331281,0.6242384107865947,0.8183816413778782,0.9114577735314436,0.9283233292236324,0.9872905226003243,1.242985349412917,1.3467767965304276,1.2866259671260323,1.1624692354113224,0.9594370272467873,0.7303085330881648,0.7719770959638109,0.775330776287062,1.1917755171443816,0.9693523749145438,1.195623082183997,0.7301761331248003,0.7130948025579357,0.798369304387755,0.9138746892982487,0.9546011757621705,0.8531506080834197,1.0238904855859141,1.1885455392615414,1.1482757040366547,1.117850211131965,1.4537748706612872,1.550861409387213,1.292351255188036,1.5999944953550018,1.0770751839704629,1.1474329252795468,1.0001763289019978,0.8178064348967681,0.8334138913683455,0.8054100186920842,0.8418133684601279,0.8099971962364809,0.7500949184618851,0.7060624319866755,0.741420865036608,0.6359229192979857,0.618838724543562,0.6853248644725487,0.640594749172923,0.63746155629792,0.7251649689603258,1.023242422804138,0.8433357604052448,0.7854779407365184,0.7028835530812572,0.5894196591402707,0.568882020739186,0.621927122298088,0.587698074766631,0.5583510311460687,0.6225743485255121,0.6168717703723519,0.6051868060470693,0.6358993007670697,0.8061317337635994,0.9407954142363903,0.6864196099116718,0.994102675740495,1.0354576085880034,1.1642039711578718,0.9549370003071442,0.7290434320752802,1.4404069528586108,1.4808897433653263,1.1450050066436415,1.3057021776145783,0.8601151655281051,1.1239909546525033,1.630550520597754,0.9847280605454305,0.5145480851369778,0.7544590541889843,0.7083362604650192,0.8198934861225142,0.9557738595251373,0.8933382417581484,0.7780833996121626,0.7861737866875446,0.7166762430067168,0.8256882682288318,0.7814451634230692,0.7450619171782354,0.7436888624084866,0.9312170154283397,0.8052749625682065,1.1005942317056834,0.9049904678522603,1.3153861979634491,1.4053077131193765,2.1961181693108345],[0.7566842179998857,0.7154728405538645,0.9073278842381002,0.5454112107088741,0.7545715836190802,0.6580503136040282,0.5520772798234598,0.5642939098713344,0.57342303630109,0.5364632332030249,0.5324823030268774,0.6093710286108847,0.5480670455723796,0.5103488971651298,0.5433813456111857,0.5871187717795718,0.6524568308922061,0.6364514614036936,0.7444628882995056,0.71038922107006,0.805143738058234,0.8231032445548683,1.1591253151816376,1.2186950666634289,1.1320084445594618,0.8729456908619241,0.8225987985032502,0.6667597530266111,0.6713615579828758,0.6316948212030217,0.5975946126077739,0.6121225286237083,0.63144111286815,0.6467988343986493,0.6593577772467025,0.6690571622068627,0.6835494069974574,0.7374784038647425,0.7483961244338757,0.8570380201421348,1.048334105149347,0.866268647020178,0.9289703193197243,1.1095168428310767,1.672357867763046,2.5137841096852513,2.704635982753125,1.8261418786718122,2.3840659954098222,3.4375778785905666,2.052181136447452,2.0037562943012213,1.2845326946105933,1.1114922661872546,1.4111878929096133,1.1077186700685477,1.1006690201582419,0.9580599754101276,0.9745323875848395,1.4349454743496808,1.0096090031838805,0.8928144959413885,0.8124078008149187,0.9127402979345268,0.8884226150124694,0.8010129176882489,0.8145644825067209,0.6865911387205708,0.7320873415463274,0.7668348377036944,0.8053917138768769,0.9554342676335431,0.7284383080998446,0.8622015515602869,0.7040912168871348,0.9702246680226789,0.7260884305894734,0.690719165317113,0.734889101835244,0.8217492870635408,0.7721052000165655,0.772266985396709,0.9147006891535879,0.9543512487569873,0.8176033673977422,0.7093894505075926,0.717519000139486,0.7633141165243189,0.6930216190656958,0.6929695086781993,0.6777715516254684,0.7035677969040499,0.6870232798344921,0.5758093309008744,0.5718345972265978,0.6003538516934833,0.7016553274393142,0.6208743574388882,0.5732083747268468,0.6412498082386238,0.6136355507907527,0.7671679411614726,0.668362111559543,0.7346631923886974,0.7728625026975279,0.7594022188900212,0.873689758738816,0.9011668007324282,0.7913421219341809,0.7731646632080683,0.7390871649129716,0.6805904365835461,0.605278802317298,0.6375625242400542,0.6357655381176263,0.6651891978308372,0.6762565286756669,0.682354546049469,0.7623653823935469,0.6610705714474058,0.665607315961647,0.657743934636368,0.6571636692450596,0.5783653377624528,0.5151790658406656,0.6083635749546624,0.8549828614009964,0.7480397328145562,0.7627184422553898,0.7902518651045493,0.9017798283006352,0.9131210133533371,0.9141917062655122,0.8421081531302774,0.8561839533192225,0.8174821405278689,0.9413668249639567,0.7121994433773109,0.6414053589222147,0.6809074589693872,0.6710000483618137,0.7878147654163432,0.6513401674614104,0.6575425030221417,0.7503099436627662,0.6938606037082798,0.6916806261737205,0.6594998124671029,0.6676853441827043,0.6019926630283883,0.6694876787964452,0.5953501799619552,0.8571115247469403,1.0081980490146263,0.8628579939900747,0.6110436640889868,0.5927835783514744,0.6552532095215305,0.6441633053510639,0.6993488391790399,0.7080825857132468,0.7020677932019709,0.7044922366679465,0.7212921923333361,0.8424775449068169,0.7863718493942924,0.939752196381737,1.0831053020036039,1.0988335083264358,0.9695314694353309,0.8775716880069128,0.7618085203845015,0.7783152060612155,0.7503864970688886,0.7312394104387648,0.7297495364423051,0.7038905633548813,0.7739935368561962,0.7591197704043794,0.808622731509844,0.9106839992405187,0.7708715704401904,0.8607303677098785,0.936214220314273,0.9156414215249233,0.9916045141497928,1.0605618551637626,1.4748040364374106,1.8638901944471902,1.1851388369677653,1.220024111887463,0.9942269131651854,1.103677151638822,1.1221914044351744,1.0352482060122172,1.1042533494174733,1.026386159107852,1.0146472208029012,0.9181988536021727,0.9023618557822329,0.7729724296789959,0.6793986885488292,0.6943564159287732,0.6556244470179903,0.6183734184631535,0.5853022562415007,0.5908633967539885,0.6028820128351112,0.6007187695074827,0.720086460248628,0.7960351534960324,0.8363423677967926,0.8673460015111374,1.095656377076382,1.2042889457210364,1.1286733270492688,1.103585301880532,0.8988248287114176,0.7311333453684152,0.7735211150281023,0.8559571467675041,1.2730748585742127,1.0357880097506742,1.2684183114728553,0.8098943313656556,0.7731895052870884,0.8081659231899926,0.9093230232571099,0.9761011894553034,0.8532022462927557,0.9900626201347845,1.191747507470261,1.1408387102025859,1.0459850027628956,1.3729048527294394,1.4917213790226003,1.237823408289014,1.468625243234014,0.9758594825947562,1.0247948192838334,0.8997733050962382,0.7813875687462872,0.7906526740473838,0.793888206709213,0.804379966569717,0.757808821656572,0.7408779248542842,0.6757236458645934,0.6919094444024448,0.6190365068783673,0.5909520489350388,0.6444337549483002,0.5881196398390975,0.6157958515283667,0.6757002480605911,0.9784498654617072,0.7820863205143813,0.7543411402934995,0.6884143972975644,0.625007181504418,0.6223435924116972,0.6700478146909088,0.6447111621203112,0.5960102442159505,0.6802833912056505,0.7046942714500031,0.6880241775392175,0.6961298541095657,0.8687496267955063,1.0300050470321098,0.7818915259035111,1.0042246788409965,1.0889990594393852,1.2069547872910955,1.020885786561107,0.8307469471671157,1.516783439672555,1.3147885387868616,1.0470681114046836,1.0331952261965016,0.747391202802785,0.9169305766039703,1.2461747507318777,0.6983360930622752,0.6196104702516156,0.785923220899613,0.7383412228454042,0.7136585796863086,0.8201381531456602,0.7223828194944745,0.6840043592490901,0.6990189174306921,0.6267019006225902,0.7448400542103806,0.6919993981686655,0.6268945812872492,0.6183850643203074,0.8734618535124175,0.6443742027173722,0.9450195841741013,0.7760010550933818,1.3276820360941626,1.463914676821116,2.153392304437531],[0.5731883632857303,0.5617008917922299,0.7949503808863634,0.417737696507156,0.6921748146575338,0.5790964835463404,0.4689593357314049,0.48445052924307547,0.5036499671797666,0.4710362602697641,0.47670397764502004,0.5510179079613624,0.4594161389302487,0.4516540193975986,0.4742281463954534,0.4952221613874648,0.5739006442656911,0.5505797470281804,0.640680315664416,0.5746411735372698,0.6286775383927821,0.6470659503621119,0.9314177914195305,0.9731219630127049,0.9187061412165636,0.6990928053914844,0.690681060738405,0.5438049544887398,0.5718852382783634,0.5213100525704233,0.5112140500640359,0.5130498266012612,0.5315876204423701,0.5565206382709055,0.5466355692504501,0.5551764416268323,0.5658607759889748,0.6257738721818791,0.6304238865472008,0.7030852837063885,0.9153914983545087,0.7435458086605542,0.7795831713137651,0.9484823915819374,1.5451668067534987,2.400585620981097,2.4852873552993375,1.6303461966354753,2.3473800845871216,3.2198269033006386,1.8161206462378376,1.8478824834067817,1.0513489613868248,0.9606804565288927,1.3600128312504016,0.8795988293770326,0.9122792179749601,0.773991378254157,0.7828676919696977,1.3027044900326772,0.8689678386057405,0.747793625970477,0.6692945566750698,0.7613713831250496,0.7229169182627848,0.6388850508592073,0.6885755345147699,0.581111996419268,0.674808750487843,0.7211505226555769,0.7964903395766577,0.9153767427501388,0.7110453228525321,0.8149437773443738,0.6071083675520903,0.9092712057174525,0.600113935170916,0.5495685827458191,0.5827281795671535,0.6623295121507404,0.6549083054611,0.6414623194125626,0.8153730459364305,0.7839461941758733,0.672931535906138,0.5689829802717031,0.5870115583178827,0.6773482286335241,0.5668329748142367,0.5977045606123712,0.5904489478157863,0.6409353945294891,0.6110822966137565,0.4958873454002158,0.4945287424666243,0.5421462992478043,0.6434253674558023,0.5439545137912044,0.5024800708795508,0.5956105721882078,0.5083423707751386,0.6472302282216299,0.5382035905021777,0.5921647841940179,0.64502353457755,0.6340085026970754,0.7234133341950071,0.7676579225050351,0.6821697248735866,0.6902413668647804,0.63428383619755,0.5568129372660504,0.49627867561007,0.5238547476462287,0.5237538709154023,0.5484955880516325,0.5710494530853112,0.5728966434828507,0.6722215034625575,0.5764503252666618,0.5881947203672184,0.6015382567052128,0.5914801307171939,0.5162790261658845,0.4448037842339501,0.5217457966976118,0.7419844559111709,0.6408624369812386,0.628037185051188,0.6454233740758533,0.7432441812233496,0.7482181041632354,0.7526334243220038,0.6778360031458949,0.6987787586874293,0.7223864412891556,0.8629742944528225,0.6203835242039867,0.5315730141187168,0.5466508351571617,0.541480160637355,0.6491909662974111,0.5260780355317449,0.5300723430665714,0.621497916889298,0.5987695006422044,0.5900302191169385,0.560039864969324,0.526940700869648,0.5009276504149062,0.5565999522384196,0.5312858802800008,0.7806551842013243,1.0204849030120449,0.8619331657368743,0.5364322120586646,0.5002024725943343,0.5318463428665925,0.521766227874064,0.555567168073939,0.5592784399367705,0.5813253335016286,0.5749015381525628,0.5651614395973047,0.6558693208072125,0.6147623305958567,0.7647708810304247,0.9058442591163756,0.9418840273213553,0.8271310003459338,0.7295153374594304,0.6360566404100936,0.6484929775454129,0.6141956408649673,0.5837766748292297,0.5943852755297525,0.5717483879599923,0.6558390184166412,0.6166158318515732,0.6470341380426164,0.7778690743364128,0.6341436298755276,0.7046779369111592,0.7582412524972976,0.7166200341065082,0.8041406487092371,0.9161340362926726,1.2371474607463373,1.7459050361446098,0.9836307316959502,1.1171138948074466,0.8107026487600805,0.9451414441874083,0.9617114307894736,0.8579809325796971,0.9146225244016395,0.8901713964743442,0.8657881175772519,0.8374911649303608,0.8348885977134918,0.7250705875336799,0.6224801268989322,0.6235106395783084,0.6405805962400517,0.6065763470400946,0.5538079826701352,0.5822404030126603,0.6303939668049795,0.5929635030805048,0.6723490655901228,0.7672476524794091,0.7998304796159383,0.8120281906031808,1.034808533070806,1.1201189766740975,1.0475356026401383,1.0804516149549204,0.9163274465355121,0.7873537440892167,0.821044838027977,0.8763911675953524,1.2374772025389802,1.0677962958632026,1.3500291410352663,0.8282791545272213,0.7902639052847672,0.837060430834326,0.9084402412308139,0.9531054822605087,0.8450548131317371,0.9856871886387217,1.0839959742792775,1.0854999500775264,0.9859070323750888,1.2659693506999024,1.3471319011419616,1.1609745958230897,1.4117227098654868,0.9172885847828586,0.9152817422304952,0.8074939500421392,0.7623017144339059,0.7444874671700769,0.7792667413353378,0.7455513183043203,0.7130802153774236,0.6787512988227474,0.6215414820534743,0.6222081344089466,0.5762276052065207,0.5711030188499284,0.637292983197502,0.5643969988212747,0.5958700805484863,0.6733981926397349,0.9661045966812475,0.7465510315449514,0.7127418988058033,0.6817612907960049,0.6343127356358641,0.6171148620427447,0.6740020218206058,0.680371138956327,0.6348770941041894,0.6900802578979357,0.7425877897454978,0.7554347529040504,0.7480492136843923,0.8757066658917166,1.0520644278299616,0.881785878413732,1.0288111636072088,1.0619397593683684,1.2259351167458983,1.080842187395864,0.9925759118801191,1.5056148471647417,1.4587045777852625,1.064021420438431,1.002281672623777,0.8201786009148014,0.8666828242924633,1.1841655472495203,0.7539846197321644,0.8971557870129548,1.1087962655771173,0.8549411080863073,0.7207653645899578,0.7380036047781614,0.6346643391576594,0.580871350597892,0.5983411004691257,0.532488507850828,0.653278459951154,0.5928677543235472,0.5094783180037877,0.49008570793122147,0.8254955768991372,0.4933606007366842,0.8233376000077824,0.6882469778802162,1.4064951492348827,1.53841014643475,2.1981355895083325],[0.4699373597838634,0.46600990566603157,0.6527355270821122,0.44122560361198443,0.6541004971801616,0.543575550637612,0.41767311242689265,0.4340358849686761,0.41750889477907116,0.3617224938719965,0.3667935621036703,0.46969840531314794,0.35635373440122853,0.3440566184415419,0.37721293055211275,0.3568040466929647,0.4420334435281498,0.4256898998121819,0.5339176876882608,0.46847369891936913,0.5512231698408191,0.5619631234502688,0.8481498661836644,0.9351260477355143,0.870139050578401,0.6359278784625932,0.568402050139997,0.4226461906047599,0.434929856177231,0.38842372468315817,0.4196644888880553,0.3849082658667728,0.42150643841345314,0.4484940145279303,0.4243006499345617,0.43508709092004305,0.4283160455240253,0.4585799127034082,0.4751606781856596,0.5446173861668728,0.8439433023156092,0.6312519853920816,0.6697396063622391,0.8972591999092514,1.4135711610249504,2.2005951457301336,2.2864589529115444,1.4939585664760116,2.2700185567400815,3.0817184490182523,1.6945868549529437,1.7887682245490983,0.9575133395959545,0.9005544523056692,1.3144161689467546,0.7749310367216953,0.822621472966084,0.7047777302217597,0.6841094794861973,1.2559344839546855,0.7638151256463245,0.6695683498795348,0.5721930964930366,0.7463596640235104,0.687834376247111,0.5433537984320178,0.6170440464573957,0.4683432899685255,0.5855414341318014,0.6484685663084977,0.7626153619073097,0.9328009616817075,0.702423585343559,0.7633211130452929,0.549059900919187,0.9048797350981573,0.5104969062261615,0.4550085142535668,0.4865934652719099,0.5426711409951732,0.4955790620973077,0.48688046107459354,0.7966316471585415,0.6142893017561198,0.5320657254042118,0.42230650089080823,0.436436235370683,0.5362371071938009,0.44381597195209666,0.4871270771347825,0.4920580135501308,0.6250455386125292,0.577822879364986,0.41155954228685754,0.4035236159092292,0.4865357356366904,0.568959081921342,0.46397022266761506,0.42454595256014793,0.5601379251730496,0.4122514668352806,0.5659365473823224,0.4267574550686055,0.52100312854766,0.5799807378014061,0.5860022096217565,0.6941977752931039,0.7276173307285989,0.673127627817061,0.6849171264642384,0.616767691053761,0.4998077345185627,0.41661827933525414,0.4016108408107967,0.39303045092990263,0.42646009271212243,0.4449603898099371,0.46354964980687563,0.5931470065414397,0.45364712995871204,0.483806580882687,0.47940593888860317,0.4640419828454228,0.36893058873744217,0.35106187132018235,0.40197271111287447,0.6548345709929612,0.5874400131710729,0.587789756392642,0.5810812177928678,0.6931022385787083,0.701525078003992,0.6939683110933788,0.616148033355575,0.6281775857383609,0.657435927386776,0.8393195927736241,0.5494855586394469,0.4362513802683663,0.4265184543987707,0.5269334548533929,0.6456943624095889,0.46145886084103277,0.4055575667455019,0.4536770535832153,0.4686319950011848,0.4543240546010637,0.44214167182771,0.40938668312734916,0.4276304261059122,0.5007517429818007,0.5078653815639311,0.7624758363030139,1.1001909210573166,0.9209937562355397,0.4910715503143656,0.41795122460926526,0.4541181510639487,0.40194642360387495,0.4748989879235398,0.4585788933334704,0.4336208853281642,0.46954443970761045,0.4608500284759926,0.5483892372061566,0.5728479134193816,0.7144040535830685,0.8944430614080654,0.9272772725225594,0.7953763847124168,0.6705144193992443,0.5560645179896416,0.5604181365056564,0.5135333348139985,0.47145936575937,0.506786690040953,0.473802294255138,0.5885217257725072,0.5132964407269156,0.5351805401124019,0.6549759541329158,0.5514084742347011,0.6275221836019721,0.6836643564990738,0.6433648058773151,0.7017647053844815,0.7826230548044121,1.1123043554946386,1.7919367325315552,1.0013892690223407,1.1132071080839214,0.8562513676130271,0.9413129463916877,0.9484253565866178,0.8194899660854779,0.8814211717978843,0.8424701811003685,0.8287367376838602,0.8162038550294579,0.8205727923290498,0.7246246067224799,0.6229566612997939,0.6348223092201283,0.680217152253813,0.6361550574034845,0.5767114213053819,0.6047287467459658,0.6475375904293914,0.6172389730630803,0.6589490074554714,0.7395632306204294,0.7983184658504533,0.8140513327580471,1.00963383153858,1.087917464781326,0.9908386952941136,1.0837884954137766,0.9148316078513162,0.8077047304757893,0.8406786973726533,0.9335354221433599,1.2809182753099535,1.1332340994549497,1.4175766728979569,0.8703845363404146,0.8251579880147237,0.8650362364803051,0.9118289270267363,0.978990198442717,0.8644480353487403,0.9655055140556618,1.0608532580154784,1.086714828906153,0.982590465968534,1.2637297735114752,1.4039785315610105,1.2040535619531678,1.4421038419791816,0.9252971556623575,0.899258707770045,0.7789294050082173,0.737014692028928,0.7184846190456238,0.8074085328108069,0.747853834302031,0.7067006262854693,0.6918624149274333,0.6417763117377694,0.6286355166088904,0.622607066279997,0.6209668731118746,0.6868985192267711,0.6049256255333897,0.6463317181052373,0.7330036978791569,1.022354983182235,0.7857625813138309,0.7667843160693677,0.712692521758208,0.68244727908036,0.6675450412153145,0.6864953863850617,0.7222918787902651,0.6658811950595799,0.7229677159562354,0.7798851569758095,0.794089255367113,0.7890614783520516,0.9252069119819049,1.1018610191542295,0.9388346124293069,1.0919405947107579,1.1245625924032012,1.326158642634243,1.1712859601341918,1.0745484459148154,1.4750424870539622,1.395091357523961,1.1122142649426974,0.9596514854514996,0.8037539605902729,0.7491254530054806,0.9051518836985494,0.818963058302622,1.0628205940765354,1.2615306834475912,0.9465402243762001,0.7789751486465288,0.7401855143277729,0.6225331932131867,0.5978053007584672,0.6077739067721013,0.5489049729453458,0.668426365526215,0.5991935768348643,0.49418820411421743,0.4858307712282874,0.8385198980175028,0.4425897479193276,0.801643776400618,0.6407677161128726,1.3806545433239157,1.3997389401750253,2.033085180591229],[0.41768715404106077,0.3915963679784925,0.5847035616136225,0.27351814010013425,0.5517048907204679,0.45912222107598616,0.36668646717011616,0.382812400763361,0.41609824084445485,0.3776074500848253,0.3881693236763204,0.47764518500861053,0.3626488355812558,0.3598843790930026,0.39388940130755506,0.36319487907729836,0.43010415009733644,0.4000354091431187,0.5001553357354134,0.4269665785053446,0.4823673728558049,0.5093672936016149,0.7564821051173175,0.8336162223159478,0.7955702983260736,0.5762168467518543,0.5208990792671606,0.3816729764440623,0.40554731812051953,0.36491502873757625,0.41516816420805897,0.3724032132644683,0.42074404542512944,0.4371070538807453,0.41066037124256183,0.4078282618804149,0.3994998461326638,0.4125003948170936,0.4087465981291988,0.4622903711653172,0.808503495873157,0.5916574575061455,0.6140176707902255,0.8455813536258249,1.3110092010378651,2.1253014597055655,2.1296435270955336,1.396063635245655,2.3143179683582793,3.0025859130930694,1.6045347119773312,1.7486684080326755,0.88927329484751,0.8519829732972989,1.330266359902621,0.7106068498645725,0.7730723380186993,0.6538321330392691,0.6565153730340543,1.2037445985031092,0.6972747988895783,0.6315326329063423,0.5415335531751753,0.6845148362355736,0.623759374902464,0.49385101268616516,0.5741779275317564,0.4387835733794502,0.5767219498430622,0.6267321453601884,0.7726219708245965,0.9104487060976484,0.6906676139173072,0.7418178757040947,0.5418375984157354,0.9026432576035983,0.4777895252360444,0.43679771216965824,0.45597845870649917,0.48681360059406165,0.4432878564163366,0.4362155139655258,0.8144230708700302,0.5001465463222332,0.4560851616071568,0.369269663116761,0.39325345341741735,0.5053878819952957,0.41856972282942523,0.4758549153902358,0.4675332060809496,0.6078413102592672,0.5519083227270327,0.4119438258525369,0.4076687898558973,0.5085503586616108,0.5842712716391114,0.4683520792224649,0.4285459641761647,0.5426398573784323,0.40115808172416256,0.5056308367576056,0.39189819633996664,0.4649328499364346,0.5111995038871237,0.509041925342105,0.5882938033019735,0.6276542493186974,0.5739444077242783,0.6310032855047664,0.5158767740243103,0.4410238455541833,0.36446205082011685,0.3579553819406812,0.3739937434312318,0.4132985275616327,0.43143000448764146,0.43086227834743457,0.5427621470917595,0.42650408137265744,0.4494358766520315,0.46471827294857954,0.43831596232911985,0.35230808084319176,0.3369819133807355,0.3719196674079831,0.5118644124614278,0.5054304962343429,0.4845045612377653,0.4838499608317918,0.5412322010752202,0.5405540000784395,0.5678231291720331,0.5195007254804993,0.5333051363818851,0.5903471525515945,0.7687364760800413,0.5067820545769082,0.4122219219000506,0.4040828785507217,0.5077830186699068,0.5906805400702153,0.4241874955076872,0.37401188313809225,0.42781637305087356,0.41214345937516694,0.3985458510379776,0.39717269259747584,0.35774794249748626,0.39292373544968373,0.43509382157912213,0.47340311366385956,0.7308822220789474,1.1044686794104572,0.9147573429143954,0.45893426723188513,0.385721524460174,0.3933388371393944,0.3690038106068174,0.4360335775351412,0.39591056881253717,0.37982523327640855,0.42342741881151796,0.4079193059111841,0.48129940743175614,0.514385995375496,0.6277976897395947,0.8097982191000248,0.8328512584768019,0.7347319762847032,0.5918288435078719,0.5069412438818008,0.5038869511938615,0.44719895005448934,0.40786823374967396,0.45417102757315814,0.4374167349980926,0.5554469898377425,0.463467918929984,0.45926136597540484,0.5979501980202392,0.4716038730250892,0.5246645792907677,0.561300462387967,0.5338185214441765,0.5988171412080323,0.7169418229833637,0.9930225600565109,1.7539683629616931,0.924428390720325,1.040099381065713,0.8138056997599313,0.8600877572321443,0.8485258134012694,0.6814966904119043,0.6991183538558869,0.6715181854686223,0.6426534203213791,0.6540872834797017,0.6598430407451354,0.5809372214955358,0.5008200251380588,0.5066151413457198,0.5715093450813563,0.5476137654398667,0.5179821543132996,0.5803841989158083,0.6241510999616032,0.5942284814175316,0.6565368270887009,0.7578771017464314,0.7899095484176967,0.7884832627352006,0.9798179815011528,1.062748411587689,0.968995204748344,1.074732266945322,0.9031789393608859,0.8010596077967689,0.8235374615166988,0.8514998008685624,1.337981479689284,1.018358048619737,1.407990599459553,0.7791721685772414,0.7059362100126892,0.7549598247485629,0.8134002058363389,0.8416443266223699,0.7169010303302437,0.8984839848207228,0.9182925829566734,0.9644134912343661,0.8363873536894879,1.0744328894155357,1.1644180759648735,1.031942442620427,1.2806868759263745,0.7641700376229017,0.7080320444206593,0.6478453058176297,0.6584378127618098,0.6443975445077583,0.7200447209386492,0.6704713579045984,0.6135540104976688,0.6093359562389904,0.5806682779580388,0.5354961593780511,0.5473690024330446,0.584469676514894,0.6638094891108708,0.5672167270481472,0.6065692228900154,0.717244164868043,1.001278184532602,0.7621004402607687,0.7308909566411819,0.6938159955955404,0.6348284006604191,0.5794948988824611,0.6273249333861214,0.6695378976812304,0.6425236369651944,0.6464587122701867,0.7068657222110862,0.751526474131988,0.7030554076197068,0.782536413010824,0.9965434373925182,0.8668573610263504,0.9285607418281165,0.9419848691483338,1.182325932297088,1.0494050710228633,1.0145935920776104,1.3943201268870908,1.4586132608304117,1.1014775619486397,0.992850553243499,0.8532488754818195,0.7982534599356321,1.0586341269641357,0.8540590014354416,0.9841653050301369,1.1874367705097038,0.8547843807373418,0.6866859132648566,0.5859304885294085,0.5167965113985589,0.4703253994722305,0.5160382173391881,0.4415006939722444,0.6567904144589244,0.5338909370395881,0.399106854520452,0.3828176247803665,0.8402287139781776,0.3278755341643816,0.6976193339938479,0.6607098293999016,1.5131093566706573,1.5903512279125462,2.198865145500218],[0.521532886772451,0.5041218221455996,0.6795467959582383,0.3812318016572739,0.5166982760951324,0.4660719445093774,0.3559181938016838,0.38512321146941847,0.4010373647585888,0.35110317784176326,0.3711816779369345,0.42231151950763185,0.36220874659781854,0.36030231079840186,0.39842461710093835,0.3819956642867763,0.4728204984719664,0.4664104226882596,0.6080700134092661,0.5204645063124947,0.5752935031771823,0.6498698907224189,0.8104516240059401,0.8947940236312435,0.7971975783422414,0.6510779088582127,0.655236898277632,0.4712912299008037,0.4799569945967976,0.4096048356866234,0.4320926592898076,0.3902142637630732,0.4081277501956197,0.4745946428627816,0.44611486289264923,0.4723418011005356,0.44375722240895904,0.5549571754580086,0.5598805124115408,0.6788474197875718,0.912852729080409,0.7080695029015407,0.7622788856732957,0.9403531163305864,1.4931524548211237,2.2356022821256154,2.2861850710235614,1.4894337835192903,2.2792485285094295,3.019103526778047,1.6442575532144426,1.7396477157487893,0.9762502163320487,0.9439095501377893,1.371666254783766,0.8259308304545138,0.8424623681288701,0.8140248619734242,0.8021798493328691,1.291374684890611,0.8327515301533552,0.7101488206404162,0.611173378208393,0.7644859796454552,0.7201166983032394,0.5755680495886384,0.6449271795638873,0.5222504718302883,0.6417602991928093,0.6851491528762302,0.7756420347532719,0.9321107863685814,0.6956881585624938,0.821590878434477,0.5754339708187697,0.9198244173130469,0.5508598942512659,0.4741514878245592,0.49184013000298643,0.5668431827413604,0.5829898176811166,0.6104472831190795,0.8305434120454419,0.723997357562466,0.61816168911864,0.491513775706896,0.5322294545448998,0.5959667726192708,0.4686042084790547,0.5145712825608992,0.5223841728192439,0.6506965402013141,0.5931258912158212,0.4281931458868798,0.41682716797354163,0.4930012483668832,0.6073393913680992,0.44622063470043455,0.3857129718222901,0.45984589817873645,0.37224870402014615,0.5114837759716979,0.4055771845384756,0.486391754884442,0.5108639476763281,0.5417503725215296,0.5730615738304754,0.6625540813814519,0.5719923658142825,0.5393484748893047,0.45660209380638983,0.41274257733941255,0.35821374733142397,0.39081657446638574,0.39440400240972656,0.4778942598187831,0.4875262588170788,0.5315555397566988,0.6590139182303251,0.5121385763000189,0.5356123030185846,0.5205100023371011,0.5269651173474438,0.397515350829514,0.2964046305906745,0.3984167671927223,0.4595015446366178,0.5051148674466718,0.4927001107965779,0.5177112504723351,0.6004983507257531,0.6160381633810019,0.6507536178421603,0.5936012108491504,0.6163254020381146,0.5937639350002354,0.8465221859062553,0.6037090809699835,0.5178432572705446,0.5069082102527452,0.5656252221326898,0.6600450365386704,0.5195889256772801,0.49170173904177,0.5457206096086297,0.5112045183390798,0.49172735117743477,0.4305414090016879,0.38699892022228083,0.39905431958651333,0.3931451531710872,0.45036305768781854,0.6890862220113415,1.0374872455208926,0.8796884419253228,0.4248672088196974,0.3556879029631693,0.38392396277278057,0.3676674708225108,0.43807401912244576,0.4419934370009361,0.46445402402197905,0.49349053970224355,0.5054712293555418,0.6084857377613893,0.6233808800173664,0.7679135147864372,0.942152492097894,0.9401695180412792,0.8351998144310477,0.7174021988337426,0.5907267627000563,0.5803570358493781,0.5253834869460902,0.49754143142647755,0.501675770771541,0.48153036033219293,0.5415500644185768,0.5256903268523835,0.519935149089986,0.7176921992807025,0.5027643226292252,0.5933407493337236,0.6587209652323593,0.6765981390385682,0.7965131194358245,0.9350514689036671,1.1463125950560622,1.887302529048866,1.014162582429471,1.2034256886957386,0.9416615800958615,0.9353941349259143,0.9028094046960997,0.7605546466764017,0.8077093607092696,0.7559977405497774,0.6923593861252357,0.6505492415028372,0.6886887267110531,0.5703288428721204,0.5071187882070234,0.5186841913002856,0.5193811432676835,0.5007794641730237,0.48176334246182034,0.5241960186797985,0.5578698172075967,0.5449518802995631,0.6514120614681302,0.7492927264370014,0.7680352115623833,0.7853039477677006,0.9982579822038008,1.07698540572435,0.9892932702321622,1.039746447821551,0.8738962936588975,0.7378075238169943,0.7653482176655452,0.7883633883527883,1.2712818756164104,0.9672898497133752,1.2564927180695782,0.7015759161634876,0.6433548146727226,0.6928794191361728,0.789406208655392,0.7905954865325145,0.7057846902723702,0.8396645485366898,0.9289123852919181,0.9144851749199538,0.8015272461737026,1.2003756382848414,1.1674162025072126,1.0198435234333731,1.3894193649070223,0.7395558071339344,0.7695841560479455,0.6628933337122274,0.6424420730876693,0.6968873742126136,0.6692405588169811,0.6993145687503329,0.6076062880182828,0.5969978595676888,0.5520064814975676,0.5243668711766623,0.487441837702552,0.5184845006776212,0.5908111198690622,0.5183603719579362,0.5441324814156948,0.6429516475996795,0.9385818901641781,0.7178829440118096,0.6719932443765372,0.639388730142355,0.5582777912813326,0.5154433666121548,0.5758372906318393,0.5788522672559823,0.5797379049715186,0.5826036423963986,0.6194910550433891,0.6603529162969314,0.6287300467264376,0.7202163241553632,0.9178154407942007,0.7683762309691995,0.8580360615978225,0.9118685568534602,1.1206764742795259,0.9752386026004946,0.9331177171421193,1.5034199210392016,1.4880673546878733,1.0269869928569308,0.9735648033345466,0.8178070374813997,0.8429409680878607,1.1609335592815933,0.7923124564634165,0.8349663112725693,1.0111973472477873,0.7951682135010921,0.5957511240987866,0.5785261334959485,0.44965410888115104,0.44410607579354766,0.5260437768552513,0.4398917048750356,0.6795445150994546,0.5264536498154432,0.41157911895233573,0.40512160834262695,0.846980623959555,0.40387146774292093,0.7002965118322262,0.7702216199230986,1.7361961091359244,1.9652985054054113,2.6767972741825616],[0.4056398182171396,0.40911979562229217,0.6106157286474097,0.4070644618438073,0.5140864305927375,0.44901242819328996,0.36257715184805267,0.39479652132684645,0.4144787997637615,0.38557456782853167,0.3976471929352803,0.4427791241480019,0.4114865293219318,0.39550490615175754,0.4617371179168444,0.4082806451175815,0.4571081122507015,0.44738835239688207,0.5446745420447783,0.5197731116245258,0.6033532688729304,0.6436625454493132,0.8174236298741387,0.9302097064838305,0.815213488860848,0.6581829668108881,0.6162898462202688,0.4537008393356211,0.4486381495730339,0.416756183887052,0.47231598323125845,0.40008407194851053,0.43733287334262116,0.4841221539897858,0.4484606097433788,0.4785706850523881,0.43289684046102206,0.5023994813959649,0.4809378100304932,0.5617411889170371,0.8933450024720359,0.6841727773786477,0.7403758013032538,0.9271452109926316,1.365942207323574,1.9639159907544077,2.0447584623769237,1.34027328878246,2.141752524730714,2.7420039578540916,1.4904631627153229,1.7128254016772975,0.9365632551881137,0.9458428325297266,1.305169694901494,0.8089755114455366,0.8348687019656761,0.8018387315485174,0.7362989828993279,1.3323193960220263,0.8094122545873654,0.7107509138828237,0.6026007549708429,0.8415385684416081,0.7728043389160363,0.5708425811692642,0.6766369987126707,0.5314993593837133,0.6416814598168123,0.7062420816289332,0.8011816599892814,0.9960394682830073,0.7467777322471074,0.8636309209659303,0.6307886579565781,1.0313316517344355,0.5756278023806289,0.5178481257555692,0.5336474711991223,0.568790347001869,0.5044918232036685,0.5236312731607389,0.84665655988695,0.633258022168255,0.5971054343530073,0.4395048812981765,0.4759906500321323,0.5516222022875681,0.48226290667917054,0.5062051388111141,0.541586492824198,0.7629153750246265,0.6733063874351872,0.4932878388220098,0.46212528112270135,0.5667702974100822,0.6541695855117122,0.4935599083284926,0.4575266548317159,0.5404785071235426,0.41165603512955995,0.5239052047963754,0.4214176951402326,0.4649254766947881,0.49331452911429513,0.5168197544311551,0.5566287483370423,0.6633312568771861,0.5777708631030917,0.617865854854655,0.4777672785222429,0.44869891752446917,0.3979821249728902,0.40365787517195084,0.4119528736666074,0.46793166827604626,0.45141852344146377,0.5142978766417308,0.651896377602094,0.45905614278842555,0.5110326101232816,0.48379473339882134,0.4720318591675503,0.3717957185056907,0.38023811163112875,0.4237031891224039,0.46092680544346887,0.5078991710261254,0.49550151223114797,0.5057241018524545,0.5738606073204846,0.5915047659564276,0.6458465046098969,0.5852142791397407,0.6060303184496902,0.6086096432765443,0.8339122190566698,0.5929654197750267,0.5117579374851547,0.5058353530508575,0.649844520050003,0.7763399161667212,0.5718630350638457,0.4710770303670972,0.47861861867868316,0.4678959194031737,0.4468249760008403,0.43143100836882164,0.4050301449218521,0.43534290651483126,0.42470690891062957,0.5025839841715861,0.6937215780517672,1.1670952119349354,0.9797772796423168,0.4742644979945259,0.4063182972563772,0.41670498409245166,0.4100004791296332,0.4588666395419454,0.4611159004875332,0.4284466104960448,0.49540623602830286,0.5116919875868833,0.5691191931445665,0.6591332472161175,0.773295389609764,0.9779873318939772,0.9467552741909758,0.8286171965652509,0.7049362318278561,0.5880845134821792,0.5707485171681105,0.5175401717075772,0.4737747739934738,0.4883164224300048,0.48821584685433084,0.5391040877269931,0.5453522102812844,0.4834794752755445,0.6365055710869135,0.5047017734468208,0.5994776690716282,0.6667367901532216,0.664936515858358,0.7244718206989913,0.7780595398685414,0.9611619648665135,1.9502012735351624,1.1132755268001875,1.1895135878839769,1.1182584725720164,0.9951473748161561,0.951457806001565,0.7703601914131498,0.7776151070441107,0.7210398513103141,0.6650616337729196,0.6421822870322385,0.6653084930132042,0.5649122663810849,0.5067950014836251,0.5179063276859139,0.534594627631403,0.5089620890879991,0.48882664950474286,0.5176458592213057,0.5483302757989085,0.5386685542309049,0.6103300944637565,0.6867442208735159,0.7213679329801167,0.752624732463615,0.9239976531286862,1.0037074583919618,0.9118674073455655,1.0150841222514584,0.8275988822505267,0.7041467820825913,0.7377479152355809,0.7941215710205325,1.2926910012262447,0.9714688857243017,1.2850941301430632,0.7036722002260442,0.6501872090356645,0.7108432210717015,0.7881778727132797,0.79201582087761,0.6994047557192149,0.8315733498172131,0.9161461985152736,0.9072107202297345,0.7898683720064252,1.1887904328636716,1.1704914046526094,1.0206734097899577,1.3562258471805113,0.7294732158632642,0.7446478829086394,0.6573111717053133,0.6492293943988799,0.6943471048145238,0.692167481901074,0.7224937209043995,0.6235909523029936,0.5948535415346257,0.5968454000056276,0.5581959098550242,0.5132274618051663,0.5515445664749029,0.6301102566014471,0.5289939453956188,0.5610850025880308,0.6766090327266615,0.9464521316070058,0.7138567261132068,0.6732857967147231,0.6224435410483523,0.5616430135429972,0.5264975845227229,0.5649537311645995,0.5801855861438103,0.5620872431622542,0.5818684000798655,0.6196665960242742,0.6530185652629267,0.6318096156924444,0.7310369628464647,0.9351146691757439,0.7761225039235756,0.8730208998867588,0.9346666756708378,1.1559071215273813,1.0015958711986954,0.9307679173755599,1.4573027125252622,1.3904176463302353,1.0013673846799347,0.9038119747345289,0.7545416458155071,0.726641020198313,0.9780516436866374,0.7450435998293752,0.8537359893482251,1.0496309551127683,0.8142711415959127,0.6206692192804262,0.5741506689235358,0.47010601990188366,0.4570149854939109,0.5381454842730943,0.46454375735565634,0.7727154181785552,0.5603273188529474,0.40207169410332316,0.44256768062514124,0.9210789549012478,0.3901807612836176,0.6685115766426892,0.8650163673647008,1.7684138001464582,1.9955418660729438,2.6256930527195683],[0.41172429395333465,0.41487331128124233,0.6397728452518381,0.39195537453036844,0.5210371811622323,0.4932491651255162,0.49657133892612965,0.5453972469391954,0.6093561166316452,0.6503673058324332,0.6815958575280581,0.709358256907724,0.6862332590788826,0.6985887213985658,0.7671646562246938,0.7117484298536015,0.7178050847994132,0.7522711337362181,0.7860265966864602,0.7898832384137467,0.8893070284288529,0.8190418882152486,1.0514144054071812,1.1393809600527627,1.058516612723833,0.9090826121216721,0.7694389433711344,0.7090675784339933,0.702211704689209,0.6769894125132359,0.7809539787461549,0.6850144208618116,0.7258155839673776,0.7471512798363802,0.7166877882780943,0.7431486795084663,0.6714829693307726,0.676988986973655,0.6333198125336886,0.6296563056305451,0.9519414355315817,0.8260626055646675,0.8840806121005782,1.0636712593758957,1.405573790588031,1.9148926775936248,2.077830162426412,1.4111228000212959,2.0908263725189493,2.699981119560228,1.5562257695428214,1.8194195625630296,1.0542577071385875,1.0574789161427687,1.309402894167398,0.9704139138480088,0.9741690999022327,0.9155132542901091,0.8500927053615146,1.4644447795329778,0.9539120174638757,0.9214929395471082,0.8485436595368288,1.0770477942196734,0.9922614802292977,0.8263012186324322,0.9558067522006397,0.815512932103808,0.8512605919989882,0.9399289831158937,1.0226846688344235,1.2258533900977344,0.9805868504499541,1.0301362818337718,0.9262799411519828,1.1848178905434648,0.8517354487160389,0.8226822846172346,0.8250432541022348,0.8150674204885627,0.6491043034474867,0.6200443998027354,0.9102950607871586,0.7290312881697941,0.7012145795388206,0.6178781607280128,0.6400802745533233,0.6869974447469955,0.7421335357612111,0.7527252747223253,0.810710770259171,0.9952557497372118,0.961263046990699,0.808525203452878,0.7682334157842116,0.8563538164247638,0.923292084824036,0.7721042276985134,0.7269266436451439,0.7397827653118505,0.6522532953610967,0.6568800627577278,0.6356968078056183,0.5859660562838662,0.5945704710778186,0.580936856319796,0.6019688945142877,0.714932574375233,0.5925133235093887,0.6659942647644604,0.5173483436525436,0.5571535506463346,0.5442817934185448,0.5478169741210573,0.6634727785304794,0.6967267367632567,0.7041456975990394,0.7465907081368073,0.8618007328628788,0.7546564987833295,0.80946804526449,0.7837686448510102,0.7448632415918928,0.6343513776779507,0.5984391710651373,0.5182198544014611,0.5137304106523336,0.5312524310621975,0.5120900832906982,0.5520112963572711,0.5600385291885458,0.592644479454188,0.6752276416388976,0.63088052603488,0.6458824769291501,0.6551891269523709,0.7890735829537994,0.6244603520348592,0.5571510040070573,0.6026814924951049,0.7900743798050113,0.9734145308940121,0.7743208938601216,0.6588791803962951,0.6688617398613084,0.6562953510947289,0.6425892932936798,0.6451507864095669,0.5863389374516143,0.6044656154576297,0.5600880626498808,0.6578760419935595,0.7969272027312829,1.2354299581341996,1.100799118482672,0.6709063285845634,0.639630103112261,0.5746688491489409,0.6289325705172865,0.6116052032010872,0.6025777441556768,0.5966979208239209,0.6419485752757151,0.6773672335044011,0.6631585104024099,0.7512043789187604,0.8364549918142475,1.0433274588406658,0.9876921169538246,0.8518917227934383,0.7375515465712265,0.650169615850478,0.6559445658221962,0.6370834963994758,0.6137150394081203,0.6197765447088635,0.665861530321474,0.6853686077948465,0.7176131434301254,0.6087583815325156,0.694762399705067,0.6133798617684915,0.6863744485051961,0.7394652488442629,0.7367423597247017,0.7799023970712705,0.750829378845424,0.9770452874562664,2.0010017238163784,1.240985506596262,1.2356970335407922,1.2712769739729786,1.0732130502440131,1.0204495854062594,0.8089883792694407,0.7906221185161363,0.708164492666256,0.656397542355702,0.6337261905700307,0.6341809680138477,0.5547827223541769,0.495502038675858,0.49846603818230406,0.5280881563950168,0.5193619817644091,0.5061451808043026,0.5446782059465405,0.5777770168005125,0.5531367987366507,0.6391514678902956,0.7195903661595447,0.74721138428789,0.7653625362373503,0.9491602484303822,1.0357389124549994,0.9648701684800955,1.0326447618267378,0.8689129292112543,0.7253079262377551,0.7562257792490035,0.7957547426233245,1.2482485017079337,0.9746206822421771,1.3159222181362995,0.7293305502446472,0.6516637268767965,0.6789320318441797,0.7799981931939827,0.7980243996238094,0.6896438009098695,0.8207113636723165,0.9704148535786297,0.9200784192552159,0.7790454119125261,1.191707726416596,1.1527449403925538,1.017583210548374,1.2985376104677737,0.7148786475182701,0.7380985972965559,0.6641925403126248,0.6630604720760901,0.7025569504004462,0.6739958403945736,0.7078445436101658,0.6180948012255514,0.6033938312165064,0.5842956490170913,0.5584157903909155,0.5110858517796198,0.5449729403495336,0.6262921917108862,0.5331685275166439,0.5628179095482183,0.6744921856924768,0.9511971116444009,0.7206808850470967,0.6769614142002528,0.6290072009877404,0.5711407254990469,0.53370568173222,0.583725553580875,0.5892197995219267,0.5666633282915761,0.5933324576040977,0.6371179081914515,0.6644197316183488,0.639386786039218,0.745878106836092,0.965343279631337,0.7834645843811817,0.8726082746302941,0.9851244026911129,1.175849443386792,1.0268155392138696,0.9286444102973148,1.529469415093026,1.4221781021950295,1.044840329585461,0.9487721193394283,0.7953014887749642,0.7928337680971654,1.0537998638791621,0.7660342630894543,0.8186382760081737,0.9355094650094371,0.7711053692408091,0.580398594584036,0.5424686045915121,0.46244388496045363,0.4580368024322444,0.5367560087658283,0.46713632349796275,0.7893977632438792,0.5809141560649291,0.4112968653089985,0.4604101138248681,0.9439617982979362,0.4119935905277566,0.6812761673861314,0.864600609749748,1.825643101456662,2.0870863920746077,2.8002970290487657],[0.7044161424702172,0.6694820703203261,0.8629589599405898,0.7121433371188148,0.801277828089739,0.7515338572002055,0.9474931135210458,1.0421459780537456,1.1531575182619096,1.2484345494843379,1.2592713076819213,1.2893952137578344,1.3482797122769086,1.3413852176168264,1.4056326102829073,1.4079384090383018,1.4538174871728893,1.45785918790095,1.4792582827491316,1.5169767189441423,1.5565367416422202,1.6297930222786354,1.5998350333360605,1.6957610545245205,1.611900841503,1.5746602961683835,1.6533599853154795,1.4371748440162977,1.4436314685489708,1.4482965240475383,1.4600057348087812,1.4170018732941734,1.417150153031648,1.472785878764676,1.4800481597206012,1.5020173192171604,1.4384594629335932,1.5335661952071062,1.4375354546689527,1.519173490898869,1.8308994374484442,1.7152112051566923,1.7760087024178342,1.7818276736817495,1.885829780447781,2.3525584586146784,2.4640647182891695,1.9789982475455608,2.781451082410256,3.1747656845217023,2.1273505204046677,2.2845231283335106,1.59606304896674,1.4825061446229957,1.736314411233453,1.7116052867872624,1.798153625207903,1.7244305908822883,1.7469876535546536,2.2230690910480986,1.7316792504442786,1.6745327591280659,1.5541524830391342,1.6787568254100416,1.689296693940792,1.5543861806111243,1.5513229940619384,1.4783245048087692,1.4774121520298975,1.552838100365716,1.5473625774971125,1.5821307120174206,1.5053821378617416,1.51689861279301,1.52488673145782,1.931929934451419,1.506265204431258,1.4812277681206985,1.4997512237906048,1.4995535603624892,1.5064556286791664,1.5336762586145507,1.513976870109601,1.5304942093337628,1.535754140205517,1.4191709689795498,1.5059334220268286,1.5476093480097637,1.5124442006502083,1.500994189743525,1.472143856818165,1.6814606518728268,1.5313858445144044,1.4257823706926627,1.4023277433591854,1.4082134767026058,1.4425537196947977,1.391117258909664,1.3459844190685242,1.2919557667230506,1.3824723495140046,1.2999116088379956,1.3861565339487272,1.2321914694322338,1.1872293414976063,1.1324718438789305,1.0708190366194272,1.077698002146928,0.9470913236405493,1.049499727686719,0.9512991577581995,1.108869673039642,1.1166464563118415,1.1975780900745732,1.3236622997698821,1.3810296944215485,1.4442888227636472,1.4145832007720913,1.4657599144969577,1.4510684844518185,1.4596280390745797,1.410798018701788,1.3861629949227794,1.2678695203680728,1.1758480213941986,1.1245237916025461,0.9788307007957244,0.9794068348481577,0.9506136666799229,1.0536329570378027,0.8911816939209593,0.9294513910272871,0.9975484672459775,1.0976922485868297,1.0522639160971214,1.1187338536085787,1.0435655387864733,1.05344308161373,1.1242396338378926,1.2474446747454442,1.2318706084316549,1.2248568150108312,1.2605259804417548,1.3170778916085149,1.3182277685707433,1.35913781642611,1.3281379651007708,1.3378474774457905,1.2544279960115994,1.2416932324086485,1.162178216403207,1.1672291883742718,1.1292346634063362,1.6039075751370437,1.5204018974293523,1.2420742720475895,1.2830992192778572,1.2315052692422908,1.3392016563604097,1.26050691821066,1.2857368124600885,1.3345797732257456,1.2784038497491867,1.2976808843667411,1.296188914116942,1.16698699029852,1.1996148367752162,1.2375874990185705,1.1511759473957666,1.1250709439562545,1.09474940960973,1.1309812826430052,1.2071491557031555,1.2400330222680485,1.308530807163094,1.2953372026084173,1.4089436265683513,1.3964098120097124,1.4186627761246107,1.3139464873451925,1.35925180712859,1.143060695234385,1.1616780370003772,1.196139784871469,1.2644420703377692,1.5390843181517775,1.6529820639082142,1.533102624227556,2.613517737203574,1.6812831185430976,1.5477476631408111,1.5918178697955734,1.3153480038943852,1.2269362574272813,1.0319346015843929,0.9219299133336892,0.8497132720734722,0.7845903440997289,0.753636046259422,0.810081219554102,0.7352012031777627,0.7658164096125443,0.7611816775993309,0.6883449211174848,0.6968256526408302,0.737775404680044,0.7096576646238875,0.6843222521919748,0.7405403549821943,0.7800368954480016,0.804582790655192,0.8402182439771627,0.8841506463818525,1.0105709488252126,1.0842250870308408,0.9743465096351906,1.070213279307655,0.8972881392710419,0.7959215219118143,0.8250700566604846,0.8390487733647243,1.361244498280445,0.9783137081376263,1.3685502489492223,0.7916845253183655,0.7744690019407345,0.8526771560152043,0.8674899129766532,0.802110665121738,0.747816611566152,0.8927161881707587,0.9887433001092433,0.9354029043817874,0.814459060046558,1.1639430217387887,1.0800763064777426,0.9717457143294287,1.3895237473893358,0.7750685768453615,0.8691980066438522,0.8349036695273803,0.8787484385039431,0.9889925833040305,0.8915007924739082,1.027894819620541,0.9197926071262644,0.8640426531001664,0.9440742554924693,0.9048441696988486,0.7945390017289046,0.8662955983825108,0.9403600679923273,0.8115855352478087,0.8102039936809383,0.9299307050551927,1.1039716177069494,0.8776420851085881,0.8302666895355887,0.777267235308688,0.7368218631718509,0.7078416818307876,0.7170126124966526,0.6860314764699902,0.696201777678977,0.6917785918101893,0.6744050736760908,0.7104963491469644,0.6895394058237567,0.7292437108431935,0.9154980363843276,0.7812121706533873,0.8384858405288654,0.9161960354137684,1.1461537667417567,1.005400305322617,0.9637832663205168,1.549298512368225,1.5145778357224398,1.0771911610984293,0.976694941520443,0.8372998945383126,0.828170348012218,1.066605405361871,0.8258573433573435,0.8872755289099239,1.0017740439003286,0.8079878177254189,0.7112121313211733,0.7356345184371192,0.8138956711749092,0.7599063261026303,0.8336655141321758,0.8050278019480278,1.157824321652909,0.8984159877552865,0.7649116983756716,0.8808221721427171,1.3204129201443089,0.7962659019638127,0.9288709066832171,1.254305211844542,1.9306782582177284,2.2142980175590607,2.9442407214668216],[0.5861653119546931,0.5390774654160293,0.7556989558873407,0.5229518363556981,0.6177385273513041,0.5678735120067888,0.5448076837992046,0.5620464215022933,0.5686393491120588,0.5085565212600728,0.5015711546159146,0.5660832443694036,0.49572911087674265,0.4489271106666219,0.4970749167438518,0.45591597940182604,0.47388511716493326,0.4474793623830934,0.5258886912479879,0.4979009308606369,0.5578540877805481,0.6226670147262191,0.7715867959968384,0.8828238758727214,0.7749130121958822,0.6241010996735586,0.6055756508350862,0.4506161170734009,0.46025191552889805,0.45292633849060454,0.4892341800973004,0.46026176219469456,0.48375243908064147,0.49603891876120626,0.4727264865132518,0.4827546202109795,0.4671047005023665,0.49954398387493487,0.4842468733607647,0.5624884830438931,0.907127115519492,0.6763240022832715,0.7337414852480627,0.9248983489886,1.3701083491215058,1.9915710424370021,2.024162350236527,1.3414083911501853,2.2029568088898603,2.744010607801795,1.4900705764250828,1.7256379828682602,0.9222703190329251,0.9433103574719139,1.3196601160516928,0.7942225893997862,0.8275570356337251,0.7978185500714005,0.7365484997661619,1.3115479921572901,0.8006817566771325,0.6946856803379317,0.5841346566298352,0.8039123839479514,0.7404203885102608,0.5451178833684907,0.6368046922037125,0.5038509905021428,0.6079651750723805,0.6859245833942665,0.772061703247939,0.9682583666161478,0.7037150948170887,0.8144589327319182,0.6082883480179097,0.9731857256138978,0.5538541079405227,0.5081912002559115,0.530793186154326,0.5599362983831704,0.5122258870196306,0.5190060220840552,0.8646851358277062,0.6240756914815451,0.6105415796111576,0.46283406205005284,0.4786387998452895,0.5603518119700066,0.4742224891928701,0.5137385445364889,0.5401261400825549,0.7362832225277794,0.6754204072149361,0.5194245075838799,0.4961576138465673,0.6059747160009623,0.7021206192112919,0.560457855243996,0.550955124257587,0.6365199527222365,0.5026535569836035,0.6138237633585139,0.5291819923674219,0.5603191298509557,0.5770643749111174,0.5926876833483841,0.6422476560972433,0.7679434001993088,0.6713346523568555,0.7600482292566894,0.6013903943563736,0.5861272462030115,0.5449646721054726,0.5046560440061751,0.4881317789850742,0.5024861025487373,0.4628156385347109,0.49639019803982276,0.6398840350223624,0.4472489378173299,0.5018637737688545,0.5043020924303696,0.48436908650539195,0.43445896077020946,0.5257775467576682,0.5337141035253968,0.5975305031885828,0.5972212711916526,0.5968594003921387,0.5975328328373491,0.6170592326392529,0.6434034879434469,0.7060496048644143,0.653499037720007,0.6693868390981794,0.6788034857412978,0.8661031544087189,0.6441268291756701,0.5649614830113978,0.5438671171617037,0.6458193717203633,0.7127206590387799,0.5437531605367589,0.471766342755669,0.4843104506114953,0.4782085533854021,0.4707597355558421,0.5014700524882127,0.5067625316674859,0.5529200869400026,0.5577924246674218,0.6387769385680683,0.7776531240703483,1.2245242860377035,1.0634390762455568,0.6122755106062778,0.5434290391283587,0.534755617308772,0.5160050439404296,0.567287909635483,0.542595000300803,0.46318590708470814,0.5267049000402614,0.5418278959650111,0.6020730727511571,0.6871521157288547,0.8072157208619385,0.9801052873353375,0.9562450664571518,0.8650740432630141,0.7532888090132435,0.637542248182697,0.6208067340158598,0.5714899212970012,0.5245589350289546,0.5480958427244139,0.548614475236111,0.5961840212972587,0.5982748633749073,0.5384684542593184,0.6558617987279581,0.5817890576156743,0.6609247904995208,0.7146478194069087,0.7196294413077347,0.7469102041640721,0.788944088840252,0.9231197254497716,1.9583932929174783,1.117863786951043,1.1861465117968726,1.1824648676994276,1.0238460655767907,0.9929426459814643,0.8093674418069493,0.7554070657130065,0.7092112694569578,0.6548581497727746,0.6801785886484223,0.6703707056839359,0.6312170336731999,0.5967231178532454,0.5922851562306558,0.6282886166772225,0.6254567422070257,0.6387335234784791,0.678877514286822,0.7061937941791562,0.6840363813735587,0.7583705986144628,0.8284748818253433,0.8407738768295275,0.8446540680345552,1.0004124149805218,1.0751322888629975,1.0075339013798967,1.0711127077101548,0.9276213677627878,0.8277534102805617,0.8582865161402455,0.862929478565811,1.4062705169399468,1.0180004314822615,1.2568680553967335,0.7326459900773018,0.7270048299483896,0.7909425594415218,0.8602038264308354,0.810846089601938,0.7472610726841149,0.8603424420793055,0.9227524852450462,0.9058638752201218,0.7929066016147783,1.1718515812793204,1.093831628466994,0.9959325249552168,1.3265368612284727,0.7509388814974224,0.7572285783437965,0.7213135683491446,0.7627404559392132,0.7978304577254013,0.7931640295032586,0.8329036707773926,0.7352447869571496,0.7053114017337171,0.718207461395302,0.687718071880612,0.6483775392459656,0.6849849081309566,0.745905219911595,0.6711480956703096,0.6975246036994477,0.7982957859059936,1.024190633159882,0.8123599788543728,0.7651384416248009,0.7406834052275674,0.6828620053177796,0.645356526621185,0.679143963632477,0.6929225658826296,0.7094463016174571,0.6711151698915874,0.698019347166954,0.7483170520336913,0.7073612449093145,0.7438322401529271,0.9241564728335718,0.8168128096162901,0.876244606838852,0.9232975182715856,1.1548682487102506,1.0173660010635894,0.9954986453712164,1.560759237650116,1.4986738852624724,1.049590762207597,1.0112199333692407,0.9008611688061012,0.8930325888743935,1.1751517229880217,0.8639957629078624,0.8769391154370446,0.9984014638513128,0.8364189489759973,0.6946726120692693,0.6187100149209718,0.5851011460483669,0.5822673740158307,0.6463280899803698,0.6166805111547695,0.9128725253583964,0.7046516149559405,0.5620005784196488,0.6271482725583696,1.0286814211260995,0.577557563790684,0.7786587945891256,0.9487079523815197,1.9539313505130975,2.2955180323554414,3.0556169600020024],[0.4964753593990222,0.4900370296770787,0.7376368114766876,0.44655720879231886,0.546593617964608,0.5293283609247371,0.5250163712356183,0.5712796315533983,0.6257815329853785,0.6522573332648529,0.6790593761289271,0.7001772733793363,0.6566197987709339,0.6711402623004501,0.7224499055378875,0.6636240116448529,0.6618877194044173,0.664708911366031,0.6946183103668534,0.6953968516894856,0.8098790507212249,0.7487029700065995,1.0183772543326974,1.0838902612070862,1.0107929892736094,0.8309496523478594,0.7192937171363241,0.6177153860964889,0.6191047347148076,0.6172049655091171,0.6985241642569417,0.630141896725331,0.6636790174701294,0.6696915168280146,0.6416449694435379,0.6563776442998015,0.606915413933443,0.6151924585767028,0.5508146830402866,0.5986635364178732,0.9303238436076625,0.7677652971927924,0.8386963228691315,1.0494340714524495,1.4562393154065862,2.0815755801916462,2.220992168613771,1.4884703681871314,2.1837781728014503,2.86285610184613,1.6357986224459857,1.8103147590712827,1.0360196415722862,1.0017957791652858,1.2691151875750948,0.9081393656712302,0.9200657259475153,0.8882603665784344,0.8209338891776056,1.401876226432247,0.8835431848636018,0.8455022692961287,0.765264249126532,0.998735571478332,0.9342740801341168,0.7399577504584365,0.8790250907989163,0.7210120406268208,0.7441253084576647,0.8672204437146578,0.929451761961074,1.1628203931038747,0.8758624354801743,0.9001854650916639,0.8351834010863338,1.0736553171251584,0.7393841012179105,0.7185603443495739,0.7203275175680179,0.7330570229228016,0.5776754640261763,0.5566432560687222,0.8426853549799175,0.6967812567117282,0.6250243290893375,0.5263278343548489,0.5580210491748986,0.6143229377143975,0.6492701784230375,0.676606766754493,0.7288613354681979,0.8806226469341217,0.8739747155883207,0.7310728960473889,0.704682217638911,0.8044934526211023,0.8799968509151691,0.7387540087258055,0.6981141146064237,0.6901536059700589,0.6117709168617576,0.6326336337740788,0.6057209817244539,0.5665125560791067,0.561911589004373,0.5805270486426519,0.6147952647141897,0.7035883786214113,0.5606733322808359,0.6152921657857333,0.4981062709807894,0.5385741913139845,0.538772557007546,0.5176505138794031,0.6344081810488011,0.6698096475064718,0.6506202296494498,0.6621681824000323,0.7320588051202638,0.6805953169477863,0.7595006367651357,0.7649310113934353,0.7461429665059454,0.6093251148698309,0.5809312553622324,0.4972492521725049,0.5169614372252791,0.5098059100196838,0.5017060454268566,0.5327087506777178,0.5357853246227908,0.5705514368492524,0.650341444214241,0.5918430873038859,0.6051800722554274,0.5943677513227512,0.7351591655550018,0.5621541692495841,0.48980037451632924,0.5215858057897734,0.6389218524595139,0.795947174013866,0.6113655009223768,0.5440031061619556,0.5553886601629867,0.5687708339904932,0.5761333422468148,0.5975192585291448,0.5499762998428471,0.5919693976795222,0.5432282463929211,0.6501816942117111,0.7857433739890508,1.1326492830030699,1.052980161788324,0.6556758032052954,0.6226225300516128,0.5506149746562345,0.5901995178553976,0.5838023740435231,0.5548412994567488,0.5225485586296328,0.5552662350181561,0.5886921235721756,0.600264788794693,0.6765305578740324,0.7917401818516269,1.0038439208997874,0.9504520400423447,0.8158229947070855,0.7044804489585044,0.5831504715215039,0.5901987056136602,0.5645137889305185,0.5514136451569137,0.568512738965138,0.6085378882902721,0.6262760561033587,0.6498836716234788,0.5653041108117509,0.6590224344582782,0.5596673995750354,0.6360062478167238,0.6979496422097066,0.6977783372316154,0.7782094585562439,0.7868145674004201,0.9897375289968351,1.992535904393126,1.1892595308075726,1.2130911756651337,1.231705942375872,1.0436878693461593,0.9916028168328083,0.7856761408434809,0.7591772774105272,0.67946592286085,0.6291518654380891,0.6189488314447936,0.6378080616340023,0.568286553161296,0.5323626040564919,0.5309078726402505,0.5603205683482919,0.5654058432324612,0.5674127738889475,0.6169048064664873,0.6421346552932603,0.6076524171953355,0.7153648599313545,0.7927249438400218,0.7954968830737823,0.8123377087113258,0.992458842502335,1.0594132049495821,1.007265660329043,1.0160501350824798,0.8800041170816701,0.7559203448091838,0.7776988616157636,0.7869826630264098,1.2587535023053649,0.9819021687296406,1.2804667385848687,0.7392120510467992,0.6602955772422994,0.6619318938220367,0.763594172451888,0.7835036674129281,0.7046780576230892,0.7764230289758824,0.9343875709944731,0.8602982723761595,0.7352067080885973,1.2036582035584766,1.063166887311909,0.9579664158428626,1.2945219855378147,0.6791580234134343,0.7386871517386915,0.6619579742985208,0.670711868632692,0.7480792726334883,0.6838144716732437,0.7557720289296345,0.6599402064826245,0.6711104483343732,0.6254507166524768,0.5904384475305199,0.5440276200669953,0.5664255960363989,0.6321988687856389,0.5828611716568792,0.6002531490887385,0.6873177838517003,0.944885635301894,0.7514042031504374,0.7004900078929462,0.668777277566103,0.5991984281314683,0.5633854194922673,0.6219694580061115,0.5996226506638052,0.6142069540298656,0.6147422503930201,0.6530097377768487,0.6837992209310814,0.6470034284776455,0.7239189016473593,0.906536265532529,0.7618071120357759,0.8195747370083359,0.9256607503121629,1.0926919747956747,0.9753046142863983,0.9181721093403201,1.5876220858057246,1.508522515097316,1.042295166912409,1.0111072605740368,0.8548136768484282,0.8923182395285385,1.2045002349111082,0.8528308650988282,0.8194851544344095,0.8750581875355824,0.768590548537808,0.5894312137792909,0.5410394791068335,0.4492844820876008,0.49736731695722414,0.5465924154914658,0.49791496465912205,0.7749352920417047,0.5910599050131078,0.49008221508214844,0.504537649007953,0.9143909045559351,0.49577689562744187,0.6998496418455892,0.9198072265228289,1.9610625157351356,2.375369332982324,3.2043394269078287],[0.6134985804817273,0.5427809877224133,0.739688037041191,0.5348125525303657,0.6130193553847346,0.7159117124888148,0.8014496043324844,0.866056324721229,0.9901954468251121,1.0478082777998383,1.094544610252265,1.113287013609366,1.036260949917513,1.0928965946314464,1.1359252186861106,1.0533463160040573,1.0078934202697836,0.9996527150384287,0.9446623806617219,0.9379546805662033,0.9999801093839671,0.8949578855824641,1.0972102297319868,1.139417254936624,1.064649314625859,0.9798871484045957,0.8935995490686857,0.883923252133227,0.9164042519602378,0.9421876019574504,1.07260779047634,0.9879674488527425,1.0470006048515164,1.0193603295768965,0.9766503733938483,0.9707751703379779,0.902100532035406,0.8503601824345743,0.7535733251430543,0.7368063174628492,1.011244078396143,0.9056571707691814,0.9729522261330698,1.1068723894974308,1.4626154635306157,1.9192890071092223,2.081033509834587,1.4113348485205421,2.0498839260875217,2.5486377314848423,1.5159165442866906,1.771120382546113,1.1079523893332182,1.1342494456294794,1.3614948639453706,1.028135440734877,1.0145879768693526,1.0608350291323734,0.961858154258421,1.4778986141082762,1.025588662139536,1.0192615533147122,0.9959194999064868,1.1907047292337147,1.0933994653225694,0.9518016401861553,1.1088684865437162,1.0090843978787667,1.0138082258486365,1.1871381534823304,1.2241183630762222,1.4417642991758213,1.1888376621902952,1.121233822553595,1.1412409496614755,1.3048289239860957,1.009811172425595,1.0121967701675207,0.9871867022273747,0.9517062591738646,0.7978343610369273,0.7268234654807663,1.0187038446182315,0.804628144574428,0.7620757268707261,0.7569537485985302,0.7765550727877235,0.8434111608330145,0.925597745982504,0.9773876051097028,1.0469683794993947,1.181639877673401,1.2256423246703378,1.1242772926106805,1.1046228936582971,1.219946005355993,1.2941968157668111,1.1336836764296863,1.0986819210437044,1.073749819277821,0.9722397516085218,0.9197780102935694,0.8975496528535843,0.790475774812686,0.7449160532449192,0.7421286078489528,0.7566707515172965,0.7818547689105727,0.6345794394109537,0.7969300118763336,0.6589326933747547,0.7365141910203074,0.7953886861425139,0.7678119893154882,0.9645694486435199,0.9586917565348421,0.9504234967557433,0.9096008976384082,0.9633420976370484,1.0031453614724226,1.096865752005503,1.1348372173268013,1.077111864224977,0.950568647768017,0.9076102665352904,0.70830951509904,0.700836246919609,0.6241240221178233,0.6050256119012218,0.6368414301604871,0.5583919171687541,0.6041605122206153,0.6816943017763291,0.6705951874422921,0.6556913682341233,0.6444053093932897,0.7209246291524203,0.5857855171027666,0.5609846472878824,0.6734508799046222,0.8233880302422113,0.9564166559752119,0.8151174962163371,0.7556515286727306,0.7792617850087058,0.8156509029639888,0.8253868934012315,0.883349274816697,0.826691051618695,0.888780958327482,0.8258839500316053,0.9889568943256214,1.0317441188593086,1.4510905399759135,1.3890589943000973,1.00789688213939,0.9901273663125058,0.8634860094161582,0.9104342841875098,0.8242148606702735,0.7626498512878935,0.7554392365233349,0.7242277360450011,0.7468143319142633,0.7189366628042436,0.7740728817046344,0.8317827851161859,1.031219684612372,0.960896586849867,0.8368669971520376,0.7429467564880522,0.6760024483177801,0.706245464090623,0.7209739215437106,0.7423789028182601,0.7740983605257543,0.8555074943251592,0.845689008919162,0.8384777315937768,0.7379192590728748,0.7783591087835069,0.7280400091919835,0.7597598823740924,0.766751000095285,0.7784521405307697,0.8384020106219804,0.8392240646752422,1.009454910077867,2.034414284518993,1.2574282312212557,1.3038517408475283,1.3969368301439014,1.1073432239759513,1.0355896082924891,0.8366891644249793,0.7713592194333048,0.66000489647655,0.6151955042564946,0.6206357252714132,0.6374357284708133,0.574259235802332,0.54819751663283,0.5415732666026002,0.553257271352879,0.5599588156847575,0.5835602613751286,0.6075968539863225,0.6334734748960783,0.6161086140788503,0.7102641348203999,0.7686631250522107,0.7740206768640552,0.7917773790192484,0.9502061640814511,1.0174116218443143,0.9633802712582339,0.9903978519475807,0.866147676922712,0.7476307911469631,0.7686041553165103,0.7752849508799254,1.2951190173650526,0.969125189668948,1.2520652263595362,0.7090448876386813,0.6558284963413489,0.6808054953634017,0.7713203145866315,0.7650891677602769,0.6979162788642789,0.7726786604663958,0.9281880413440653,0.8421877397122941,0.7274170689718563,1.2056659272321797,1.0433181547436676,0.9568397023397908,1.292254562341915,0.6789606611929675,0.7373682603297312,0.6759475523065414,0.6960305432978475,0.771837729707779,0.747811170738902,0.8249238433173159,0.6963862023767283,0.6917678975653722,0.6994377868040819,0.6726538711700673,0.5989304291950508,0.6432872792073883,0.723157533201206,0.630162054044916,0.6274613435479286,0.735329423001903,0.9696942671941037,0.7432333763493574,0.6864088894856883,0.6612467077949641,0.6020344823225726,0.5745266619994406,0.6196284167518836,0.5956033012010348,0.6245886584748565,0.6042950428027417,0.6304935883652574,0.6743104918370693,0.6351202974260198,0.7030511064550297,0.887762861950353,0.7607631076109723,0.8107864526358024,0.9302422743310521,1.1017281123382476,0.9898911278896346,0.9332852834124962,1.613043255692944,1.5220222818211462,1.0351069789343956,0.9846689311657735,0.8379378294961924,0.8511236332812256,1.1660176708867647,0.8335271259879524,0.8301456992081905,0.8959601104081601,0.7713984216106001,0.600731400148485,0.5415813806209361,0.5001492035000176,0.5416238470069404,0.6286431113910401,0.6018948573001862,0.9444770292500667,0.7337271747139157,0.5736187203324111,0.7076535564635378,1.0813293748783956,0.6487734494220377,0.7883121260771976,0.9847916124912361,2.0845290809791677,2.5517670444172715,3.467631657704763],[0.9489503444251326,0.893881420838659,1.0325166704639999,0.8813968558849549,0.9215228670315067,0.9699961154655946,0.9892066178258149,0.9596425410881252,0.9699189506292015,0.887789782755521,0.8351548128312145,0.9132661544000794,0.8184279468994068,0.7300358142126816,0.7318453717446889,0.7173609839957424,0.6807296730242554,0.614347757280079,0.6611071371274366,0.694516730545764,0.7318982844058158,0.8186709284985324,0.8842617355140416,1.0137561291078159,0.8964323744209183,0.7942690549390123,0.7815080529912289,0.6672324510851245,0.6585234844093785,0.6972156830581963,0.6786452543994862,0.7150375650023958,0.7241153035332726,0.702762918624169,0.6963496197655976,0.6842901517378278,0.7044617429438137,0.6872455122791127,0.7122195714790726,0.7607590062091393,1.0303095481270343,0.8273905645334008,0.8858558701519846,1.0303541535993925,1.4282573585659801,1.9131516976416094,1.9156724818070603,1.308779602154871,2.1767985826370757,2.547358088011535,1.4447492905304227,1.7192355432964825,1.0480567172828137,1.1159477836300729,1.4392125016685597,0.9350374714167712,0.9617992870452334,0.9602061139655801,0.8972762459236171,1.4128073023035355,0.951171930036845,0.8405937974654007,0.7407261792831473,0.9453708767638588,0.8817653501348061,0.7340266897762731,0.7588650623541303,0.6512221247020555,0.7263451599075675,0.7629093814204436,0.8337539857895527,1.0268460949621785,0.7588175949088302,0.9217759514350038,0.7351353598421337,1.0452811443810257,0.7279272847717145,0.6902967226706732,0.71493501841005,0.7358163898333019,0.692689976551221,0.715555159658235,1.0200492669943992,0.7813863337205921,0.7986291631855977,0.6936544478795765,0.6754246974411634,0.744004925509109,0.668023312755828,0.6787824591128033,0.7046635566950291,0.8489332361132532,0.796699613113445,0.7086052469011037,0.6997429537866875,0.8035686310653458,0.9028861069616959,0.8172384164055045,0.8514973037529125,0.9431101798755992,0.8048087190876011,0.9258016319672269,0.8337133686241656,0.8521769300568066,0.8348842065303748,0.8788115581761743,0.9198480055644234,0.986572687553668,0.9040262609046542,1.047265803247714,0.9148351739924352,0.9033708408663123,0.9175456459038084,0.8554124074262837,0.8411463044808781,0.8119189637655213,0.6799752077909528,0.7265124212743722,0.8019713506899595,0.5799280324716766,0.6029661660567465,0.669057082989009,0.680529979740694,0.8195737873511272,0.973257466693828,0.8780741630130023,0.9729140112860609,0.8605844271110189,0.8445878365074198,0.8212690787647237,0.7509207657829842,0.7849773524385546,0.8179604367285577,0.8293794061653226,0.8150590355539021,0.8484085466030135,0.8693213845226393,0.758673658101388,0.7313773957098623,0.7852079500065013,0.9562406028472132,1.0104834144656862,0.8334155376685918,0.7339853884463636,0.7405424544600261,0.7288635119190846,0.7418949240324871,0.78883304078568,0.8410225308727938,0.9069893995050787,0.9320074926514345,1.0276629300751257,1.0868862914145807,1.518859825977139,1.3615285107686201,0.9524675085452746,0.9055432826375448,0.8960003893041266,0.8452940080979415,0.8758920289745954,0.8301394105144697,0.7216723770712359,0.7579040955679136,0.7648097351900431,0.7908333416713422,0.8496989752132256,0.8843061780883638,1.0015940974761794,0.9255819437046318,0.8812441810069948,0.8212141057302074,0.8053816265725929,0.8093994887444457,0.801714083574923,0.7722813775491333,0.8050155308331052,0.8164027380324405,0.8511835384177395,0.8371851694395712,0.7807406893130967,0.8457728391103814,0.8379486252668837,0.8615689945077897,0.8610197526677675,0.8643478770677864,0.8637889275058864,0.9029505595370468,1.03286617226308,2.030474822491759,1.2200071474164729,1.2812707746570604,1.3744059874530166,1.1117619473039677,1.0578168796069625,0.8867754106791009,0.7917059845631773,0.7408052671120255,0.7255703510753944,0.7917219622720335,0.8001282059899327,0.8013509031880417,0.8153387920086216,0.8057497549956166,0.8273781458377504,0.8466428395017184,0.9049284080762691,0.9350607132460718,0.9430167210065573,0.9520431990549871,1.0252225102183607,1.0494687650368508,1.0592553188423441,1.0787526201644202,1.191229428367395,1.2412463703190262,1.2008251414888558,1.2296938450684392,1.086447629351835,1.0182417436459748,1.0561011314770679,0.9971972103893784,1.5648231184466128,1.1086546104124182,1.3777517574547542,0.918600700656242,0.9309703691919663,0.9780068365964596,1.025549883304054,0.9265437047746231,0.8851921895617832,0.9584474241389155,0.9795315773932513,0.939549544070369,0.8534700503280859,1.1689099025155065,1.043541557757519,1.0088654711245573,1.293551208690327,0.8482997046849736,0.8618429380011918,0.8698293710767311,0.9456676213013977,0.9700907612342007,1.0123586404674378,1.0468687855063987,0.9318849559549038,0.9146141787517823,0.9855224592978724,0.9448969711598507,0.924836830763218,0.9808913243557251,1.0470126076874453,0.9652846123317255,0.967199582614254,1.0635035121819876,1.2334706192021345,1.044486461191399,0.9982724686831139,0.9815379833842153,0.9383049402759996,0.8897327914003555,0.9109682326672645,0.9356359571668555,0.949748755934532,0.864904784659722,0.8766711843315608,0.9443938178935839,0.8654366980594131,0.848470036222801,1.0207679525877977,0.9488656489133855,0.9223012161098066,0.9713084342177957,1.1693289483079445,1.0832548695925603,1.0942791045808953,1.6653392370833973,1.5902611010483578,1.158052715918013,1.1415428260153335,1.0777367518305587,1.0966788125338809,1.3329344560253866,1.0330513270286301,0.9916839407124132,1.0294124743808557,0.9521577951763643,0.8860553323198793,0.7831170033828331,0.8243656959588215,0.8716969434849836,0.9021972949509418,0.9225815999412635,1.1983328148442869,1.002026847840042,0.9190528630688455,1.0056603162490858,1.2697291694110637,0.94029178133782,1.0315150613012134,1.1202938523679662,2.1221915924751786,2.604550807504497,3.5143572781353876],[0.5086180889136511,0.5135005582114524,0.753337828420917,0.5110400820421721,0.5250491335271097,0.5534534476281833,0.5532910839825294,0.5791156977447208,0.6234489543279083,0.6331271388127214,0.6512459556430339,0.6685170957918136,0.6130012157641623,0.6278385784333615,0.669523316387234,0.613344457617619,0.6115889667971425,0.5712256308077162,0.611908213057432,0.5879980315127669,0.6580739069742334,0.6529369966244067,0.8824980907682454,0.923832747092139,0.8865659506773077,0.6899359375750267,0.6548610950816518,0.5201897764932376,0.5494439730826567,0.5657157274938932,0.6232515909375163,0.5790587544898892,0.6097786359615954,0.608359996813541,0.5801086954296082,0.5817376957027964,0.543528903736479,0.5465962607931669,0.47251263690195827,0.5318583363438082,0.8741065219542845,0.6962599250752464,0.7366333516054572,0.9356799117797839,1.3514194417139886,2.0641082704668188,2.106506628147438,1.4176678591104248,2.2292269591179648,2.8199413796370525,1.5437108065929386,1.7256871309370834,0.9596578616267907,0.9314707840190932,1.2621353902681114,0.8188672374902515,0.8510058752362841,0.7917390351695823,0.7392281607988341,1.341317029146489,0.79784954206806,0.7387596545430278,0.644543926136444,0.8363998691171922,0.7890558482962597,0.6192175712075564,0.7367190029049504,0.6080322226064032,0.6546779590490809,0.768255890551834,0.811553666971936,1.003758844925066,0.7502738816630146,0.7879922558174258,0.7160710751861868,0.9509625887030323,0.6335668109515851,0.6112327681796881,0.6261146314968085,0.6356483776448941,0.5327673093611917,0.5060357163219062,0.7979748045670126,0.6372944729382719,0.545684164470692,0.4537339686638069,0.502090043678762,0.5791467871935873,0.5718598848913925,0.6070300860602023,0.642231265988717,0.7679771507427274,0.7613219850194317,0.6517588487406998,0.637436832552881,0.7391430918213717,0.8330306499668717,0.71191071865137,0.6719894024695139,0.6563868129744007,0.5860790717480406,0.595702969833684,0.5663608608855313,0.5430500496971498,0.5110503927080816,0.5478920813825072,0.5820360097314627,0.647860004439523,0.5009473519205595,0.6135278596088188,0.4826981326026302,0.5000406793008005,0.5311601110452429,0.495894874024702,0.6321986986934247,0.6654246948420832,0.6061970894064899,0.5518848032174422,0.618647739343357,0.6053616241250064,0.6758797249052916,0.7123605691958282,0.7206995021356856,0.5777759191079949,0.5637436696303164,0.506049469567728,0.5521243904724652,0.47368817768849547,0.4688608961045733,0.4888777889986769,0.4499109406856892,0.48275503594007274,0.5509414375527086,0.5187324646483009,0.5153561782989324,0.5075372646306817,0.6334454968789262,0.4631453065152906,0.41118359749007016,0.45540718237305633,0.46901073318885,0.5728451926672952,0.433022278966929,0.42578370492329687,0.449416543944301,0.48386844796608347,0.5065661451572916,0.5551981635313966,0.5299747702822482,0.5915165743327455,0.547180350381052,0.6429494598382026,0.7546827661949648,1.0721172922167266,1.0205571349131866,0.6347113575839283,0.6113109904121207,0.54596616631328,0.554313276451659,0.5573025698494769,0.500395939701747,0.45601503642050173,0.46630669572184036,0.4759540335115767,0.4908078257933975,0.5802411637368904,0.668889723605586,0.8382164483281641,0.8027314232391526,0.7226444481123329,0.6100669584626197,0.5194760838580139,0.5150031013619708,0.48923136705873854,0.47199865931952634,0.5084471393383304,0.5504208118243051,0.5692666900715551,0.5617031928055731,0.492903734318131,0.6003781557441891,0.5067314957797078,0.5708352159691022,0.5879912856847405,0.5934871187448469,0.6725163049412617,0.7331078631498217,0.9044686617670722,1.9077519300005645,1.0525390029931894,1.0989836282250205,1.1932024887123613,0.9735718041662422,0.9157303193038036,0.7133208455256277,0.6486122677046188,0.5565336771659763,0.5154046153639695,0.5659329158363458,0.5927027150226721,0.5203299397108583,0.4742015321466964,0.4589512643621121,0.5038595775943376,0.49211469872141167,0.5049254923755715,0.5891250566237255,0.5875152873002591,0.5402475570514643,0.6512136442141243,0.7230200901655488,0.7048714717478184,0.7056220151322525,0.8819074625827614,0.942775657685962,0.913978187991634,0.9203753384540337,0.8358565530813258,0.7217113755488557,0.7246210263156841,0.7333192315591718,1.3241831798393529,0.9440656302230064,1.2278547851292696,0.6931998545731267,0.6220867999663913,0.6543077401345526,0.7681176353545796,0.6923999552220981,0.650376489243957,0.7462327675920393,0.8502084736164295,0.769118846215806,0.6577033129551216,1.1237020516537242,0.9359194493855648,0.8543152852054489,1.233218134380373,0.6268524841104102,0.6756641167300215,0.6249307022388059,0.6534752994684577,0.7069063932679719,0.6807130056011679,0.7313590196569797,0.6174414053080384,0.6114202813492868,0.5979205768464528,0.5545069170112106,0.4951633847769072,0.515583965288136,0.5736024401367389,0.5087871683833061,0.5161926621379048,0.5844604737544848,0.8600906726809088,0.6534096219429761,0.5914072404921984,0.590209142672666,0.5313923474607901,0.5118576284347398,0.5723055236829349,0.5482523840826569,0.5734607790327128,0.549478677332374,0.5804455370304791,0.6385059061249614,0.5960253964870651,0.6413549875905203,0.8448060937825593,0.7483276106960225,0.748532858963611,0.8520325807239312,1.012490904913851,0.9329639503588029,0.9377723571619467,1.6106989284214857,1.5860379036199852,0.9963298733792765,0.9680779933677054,0.8280122418820441,0.8322185574081765,1.1985137538624622,0.8577759398142296,0.8361291195311675,0.8892267442134681,0.7615454528365695,0.5686501004977382,0.47933565649964976,0.38322055410322137,0.45021705052191113,0.4879694435957288,0.4611063126968987,0.7635574149389717,0.5585686721227411,0.4899388971337699,0.5281259320436993,0.8707427893950616,0.5302419425312774,0.6985652021053097,0.9369301414072838,1.9955529701336165,2.6252534421930913,3.560391974111033],[0.9139130850261964,0.9281657274637461,1.018746215468792,0.9129260832137135,0.9650759447290748,0.9322035574116196,0.9184311032920934,0.8993062981707091,0.9040388236134299,0.8873066993983323,0.8880159184637124,0.8947877582420519,0.8192990244130486,0.846428029346886,0.8644609264297144,0.816645078021235,0.8109424580217185,0.7829183734673935,0.8332153175882477,0.7910674976825919,0.9012670623800247,0.8882751534327372,1.1137506327228022,1.1688861386012872,1.0562953959971038,0.9198788898230825,0.8914119993611901,0.713779611159134,0.7339384124991253,0.762840200207499,0.8052820294195793,0.7767078287778546,0.8126376350274939,0.7820000247330671,0.7503297886787308,0.7587375085433709,0.7251124984396208,0.7423151281553461,0.6571534917558801,0.7445665154883588,1.0776971975505028,0.9211143678980398,1.0093048813235763,1.163845536150559,1.5848868234676092,2.1785267260429677,2.3343349583324153,1.6163055931019004,2.229375374383568,2.918744279551717,1.6902599948312276,1.8305668095164571,1.0964212449622965,1.0029346672755721,1.2546606718770763,1.0118941126694003,1.0411157176832666,1.0173053923867792,0.9722262344556184,1.5884409559789916,1.0105726239503647,0.9745786360235065,0.864213025398493,1.0654290557240795,1.018042230537414,0.8397825269061807,0.9788658798818681,0.8336289528481661,0.8866138368780673,0.9796047561230398,0.9914180213041638,1.2466975854477478,0.9398030162367884,0.9805884529376497,0.8851456441863468,1.1672423912780117,0.8167298153175339,0.8037690838472857,0.7872284017182802,0.828386740682884,0.7167112022815111,0.7007078968499049,0.8506051479874259,0.8556565578904034,0.7121345659561232,0.6325834737537898,0.6841636358672455,0.7193723750197815,0.7469520137812355,0.78074933804198,0.8342188268673594,0.954764050270005,0.949322148993065,0.8354105854001899,0.8252615887598957,0.9088774933170629,1.0087009223744143,0.8993980319865813,0.8818971947834675,0.8859313833538267,0.7978254181372176,0.8218322261343723,0.760630725707785,0.7694409500535743,0.7338863289411034,0.823152432241286,0.848826039889455,0.8760762900298312,0.8335992880267397,0.9257560714047129,0.8284035767588073,0.8099259119224557,0.8450512308839836,0.7958957522951693,0.8678328438648045,0.8846472786831235,0.8026954950243156,0.7874049668503703,0.8614627853731498,0.8111395004164631,0.9036476121596877,0.9078627321325482,0.9217601249066125,0.8198429080980532,0.8681131344426813,0.8645899972607525,0.9440644669357816,0.8216495907858675,0.8338113693427066,0.7694703463445034,0.7934915174451384,0.7783900770225654,0.77386224063853,0.7411940685828619,0.7441844103030917,0.7455314316207265,0.9006303570369831,0.7525403791984556,0.7184331363212408,0.6398508992073269,0.5483934144645687,0.6961332826707138,0.6247699674667703,0.6200538912410622,0.6174327200268662,0.6534445820449671,0.701306550180505,0.7696306490894667,0.7765944116581679,0.8559717479381446,0.8479267188597447,0.9413084007250256,1.024875561419754,1.3278347235331016,1.2633233239150672,0.8958223963958583,0.8736806322513878,0.8051407755630384,0.782424001714931,0.8134379153972914,0.7288630916776118,0.6493154866200541,0.6166046090230655,0.6105623611218037,0.6445096815025474,0.6839477405338055,0.7871159493713392,0.9901108058982317,0.965439918137824,0.8361672440050398,0.7777259809969613,0.6526120866092542,0.6342224492867167,0.6335237470285198,0.6301322786376718,0.6756049653208842,0.7072813769843297,0.6991369092843938,0.6984553640526469,0.6692409006562965,0.7339347174059215,0.7126806902713003,0.7260366389167623,0.749985563979527,0.7363807149574624,0.8453205376481762,0.9086463005828246,1.0123000117363088,2.0663987051404398,1.2199945259491678,1.222026936986384,1.3307443937857948,1.1148557045032106,1.0822652904126928,0.9056353666086414,0.8777724086596859,0.8549327555266669,0.8780839060534137,0.9547358557073313,0.8803041493934681,0.8968069482512344,0.8649168591878804,0.8476075393904723,0.9364595385304152,0.9348729429098346,0.9669160875726306,1.0372333223475658,1.0465905088408223,0.9908145244029861,1.092034320583396,1.1713297683379191,1.1553223491471543,1.1186492454567427,1.2570337191393177,1.3237091251232596,1.2653950555132405,1.330667418147904,1.2764565725174115,1.1674393586848961,1.1690826420083988,1.127569674091932,1.3651032542337835,1.2443567985719826,1.548709728791054,1.118474649557861,0.9853206637998223,1.0112057716871188,1.1060750200284215,1.037320673297905,0.9968685714464127,1.1147801591248865,1.1853701045368326,1.0518116553642687,0.9772217961819578,1.2974397856887172,1.1396140942548456,1.144245428885853,1.272317635016077,1.0021339781089986,0.9816253958100986,0.9851256313878669,1.0425740538928685,1.0342665201469552,1.0118521242931342,1.0042065173676695,0.9497953741551061,0.9518706320754489,0.9142995956282681,0.8957944107168636,0.917273900885286,0.9248713343644345,0.9586334585378784,0.9487923064105497,0.9452272841226148,0.9995454464501345,1.229728790895932,1.050304616684256,1.0113926779257176,1.0368301048495812,0.9828068546073129,0.9463534056151345,0.9943097455057961,1.0049870272857155,1.0037523591734747,0.9578780019866149,0.99141158109638,1.058911318861836,1.012029275416732,1.0059067238315476,1.207546561550833,1.1320140704036608,1.093661615748417,1.2002336882462241,1.3206996991080031,1.2826769382454843,1.3123403480055564,2.0295417082434737,1.913671217795423,1.423267450632087,1.391101636117504,1.275594029607702,1.2936407961375471,1.588180650774641,1.3008825091094633,1.2346029378796606,1.1952479091381367,1.1017140680414321,0.9592174473228702,0.8690991452138175,0.8692667131257731,0.9039279145414435,0.8698551782631868,0.8747409062096683,1.0082829681503334,0.890983709156087,0.9311921906356291,0.8708049804457528,0.9353058211371676,0.8918367012957418,1.0470121255100193,0.9059597885440789,2.0430689902477863,2.5421331415707025,3.5675538319155455],[1.0435106455851053,0.9498781316519925,1.0711767236471614,0.946849055963051,0.8193601005324654,1.0433696749183525,1.0695784632332246,1.075200669263206,1.4214249978911593,1.5364611467794693,1.6862832489948636,1.5619083162248069,1.413438856478157,1.728966716409412,1.6730788715706395,1.4736148594806169,1.4473443593658364,1.4388517966049896,1.447381985160622,1.1215761785548306,1.128044613712781,1.0220346698674987,1.1499854558986806,1.142593242786802,0.983462386399108,1.0520314781471651,1.0587265853040027,1.077545446015616,1.1601414483591006,1.1849183103171557,1.475358203786229,1.2506164784987055,1.362123690276816,1.310322574986458,1.1396806022241097,1.1467318246540898,0.9810002328410514,0.9608068067070704,0.820535793813184,0.9610437359034577,1.0759021441888974,0.9663190720809167,1.0076054151399851,1.1223774414853303,1.4441566265239636,1.8278538328590672,2.0145012974304377,1.3473071294401981,1.9408826602904163,2.450318749086759,1.5711501333995717,1.800761215738476,1.4025473870586906,1.296909803596316,1.46381297370354,1.1435937128157259,1.076299632256674,1.1005923168965455,1.0826346805566167,1.5944959939167784,1.1213477559556317,1.1299525440912552,1.1061745828698146,1.2497246921827518,1.1224890390288342,1.0423294200715363,1.3352195968030054,1.3843380723556789,1.6748290462228286,1.903574627501047,1.9614478630200194,2.197883784391576,1.8823583835902278,1.7076319358579106,1.5514596612454163,1.707611638264673,1.2250830492281575,1.2152481686446854,1.0637842796906205,0.9840193729814282,0.9173448181488566,0.9081109487959431,1.0100127314172078,1.144482596244277,1.029073756720146,0.8137148581984038,0.8699616493792536,0.9769022066900533,1.0472758461786942,1.1725813326231167,1.3920981204051959,1.5797934637030724,1.6636636069263668,1.5844586935637126,1.6104799103210352,1.799878268997928,1.894340537334193,1.5236116725577629,1.4396981740938104,1.3243872975109465,1.1483442918152542,1.0252710714265696,0.9380837513858842,0.8528941951003354,0.9248349831895214,0.9530111000002043,1.0780398584101845,1.1618357312657868,0.9924042287846184,0.8904960447334277,0.7792867153737663,0.786389840793898,0.876209279951857,0.8243261983165046,1.2146379731439667,1.2269226488885723,1.3443741150967936,1.3798606085514553,1.6094078385535802,1.6361719507502575,1.9321579436284693,1.826017419378837,1.810735131530212,1.405725810916829,1.1757208584166838,0.7570312207702296,0.7861920026183953,0.8111326233188223,0.9068275306134971,1.0387038439467682,1.2090526523387106,1.3717378401476996,1.5440685172057198,1.292686930040778,1.3519396284902483,1.0114989052099388,1.2099406234975987,0.9584860631481231,0.7437699927955045,0.7382408945756362,0.6455680579066485,0.9977303237781657,0.7349743986258239,0.7324585303881135,0.7320621307426746,0.8701748024820581,0.9001857756789167,0.9429585154363862,0.8538708340768862,1.0156842393447953,0.9222476694945245,1.166204269550501,1.1572079769106784,1.5131410574406006,1.6315649739681761,1.200991285609838,1.2080343450148294,0.9446680877262589,1.0043568781140433,0.8146206790377133,0.8394699747230507,0.8034856869507586,0.8210803846131528,0.9617300697203585,1.315783196997379,1.6576927258368952,1.8405332147267064,2.2494196706864953,2.075269495483666,1.8133310548175308,1.5902547163655856,1.227924641010329,1.2127477610604205,1.0391813147223432,0.9036369533400874,0.8609152901713626,0.8395535728413094,0.8741211291116499,0.9515204454805587,0.977102967991778,1.1401262502634912,1.042391087809572,1.3667606954629625,1.573110574703335,1.5291396637761308,1.3738622425999276,1.2274641978362382,1.6879960736334614,2.3678784067154006,2.221081758402331,2.3322159884334033,2.51142249329175,2.2139855261444303,2.041191526969765,1.8891197080376116,1.8432201995160773,1.5164264713537479,1.421297890773755,1.2594735058490187,1.0953853118323018,1.0855700537925042,0.9512831174004183,0.8890673577199091,0.9475064429288153,0.9109991108352468,0.8333994161255905,0.8685308596275999,0.8978063561496907,0.8062279354850517,0.8609761181184371,0.9075266467963906,0.8950919805606868,0.9127742297289932,1.0180627747412743,1.0828463547319431,1.0779055735019154,1.0715958605104465,1.1052787029575932,0.9940367899420954,0.974485232115808,1.0993557899147053,1.4392114342189677,1.365017254869547,1.4039912320669619,1.1337840239717458,1.1326486131459181,1.1609111514787864,1.4126794518094943,1.3019550727880487,1.251289447336184,1.4011387223191714,1.5781742206532652,1.4568155888435583,1.4037884799609315,1.8745311556151376,1.6746151713928596,1.556905736809333,1.8262658885703253,1.303680252110564,1.3138200787159393,1.3287066987377458,1.2018138298724024,1.2241234226614262,1.0981887902864387,1.107698270404526,1.0739302854335329,1.018827641562368,0.9518786996909573,0.9127890026361335,0.8672383132023913,0.8440233584649947,0.8935163938003989,0.81463516997485,0.821245736399163,0.8620290255798456,1.1143302186596575,0.8880942607944821,0.845908673613493,0.8487729495763006,0.8405898963176084,0.8982378682503358,1.0189338629995002,0.908096958925067,0.9123632041907392,1.033936919459942,1.0419711092155435,1.011329648831348,1.0817096453156523,1.2312416742696182,1.2907677042248613,1.18911045826701,1.2997567451473915,1.432521608306092,1.4925066720374118,1.4099562350123254,1.3183298620212416,2.039915831548101,1.9049864922348045,1.3200565035983856,1.2040785562292857,1.0741146224696119,1.029318758681883,1.36657842554775,1.1196069925804608,1.1894056199312408,1.261187128628143,1.1701399210471226,0.9110506892041348,0.9911347193311647,0.7859418734636431,0.7729779211824568,0.7996242740994014,0.7895034034679717,0.9822534832861991,0.8275564452295462,0.8426879643133378,0.8910596314520635,1.0651691341638327,0.9244217097259507,1.0503033321240245,1.1593564239629042,1.861141029809045,2.5029047298441913,3.4656179018436957],[1.935774446020147,1.8424912065499595,1.9714242963267958,1.8782911634260224,1.7879656270100668,2.41732141384207,2.641898514394996,2.795424398440616,3.282479548486049,3.5610964685699407,3.8103407871131965,3.685976565371693,3.574423466840427,3.9204733343806084,3.9214981096572568,3.7194068195491705,3.687535783090236,3.6695171701405425,3.531069549814027,3.0876048725841567,2.9039825408210547,2.4646394639096387,2.486123059694039,2.2375647213090137,2.2465954545739795,2.7476636997893555,2.8582725304771475,3.1483555609207223,3.3031325668753277,3.3211398341329352,3.7279830276001205,3.435539712398188,3.598955308280433,3.4909723011527176,3.269382191571389,3.2444556345271423,2.988893214729847,2.7847900938461514,2.35884680565679,1.9704312103969468,2.0306938067225184,2.5145680813549767,2.3099873542342433,1.8975553404614898,1.9962899781762455,2.08181537027986,2.1930031038795392,1.9029763438005483,2.1375174992574113,2.592896249952916,1.8667294243349326,1.9187995548942895,1.6053148354414184,1.6188633458185058,1.917505201496519,1.887150892154487,1.9751439286087549,2.277055172411685,2.208620003949996,2.4702803483932847,2.2955292294068164,2.6173937440649166,2.8643625554850547,2.858201567474201,2.594957589835154,2.739056468228894,3.2064056084999324,3.4768956441875365,3.7733376077845318,4.097610728798876,4.097831435257165,4.1937233252049175,4.015090513040281,3.7086257255983783,3.6979484038369725,3.710957330110861,3.216868582584132,3.244845928024015,2.996081365600491,2.670937608122907,2.5949882786497347,2.235250317175714,2.3223853224806144,2.2384290349050953,1.9652145468536255,2.3435527850650026,2.527950738123182,2.809542444912237,3.0069029471736957,3.2518397680507265,3.526503224900139,3.6754301029987175,3.8468112070382627,3.847817387479387,3.893308464615297,4.070658715984668,4.113110024622897,3.7575503893487463,3.6326934180191284,3.425737404788498,3.2501914709153437,2.8649220672418054,2.742495362887365,2.4001846106267544,1.9475686043069342,1.9846743835348941,1.8336171454288053,1.7461617761694446,1.757892973139662,1.9064761029783983,2.0239941712507856,2.1467816976211376,2.5361982908740375,2.4879988828067785,3.2140796975260804,3.210065974954912,3.5313441989987377,3.5223794673981126,3.70162045618532,3.895044719618324,4.187025342233557,4.052386581686969,3.873397046452889,3.315092452737992,2.903900472465954,2.1435784559546804,1.963151071738837,1.8614446526438382,1.7449810213090282,1.7082712147421104,1.719043396387651,1.7934679935865119,1.8386087059359861,1.6676377436970071,1.647715672092623,1.590434085419883,1.6297090684562918,1.4957514479998357,1.614261397936166,1.8064230281016478,1.4465942478278693,1.393230111010404,2.261408475930245,2.32986069994805,2.112369811380613,2.7471465320089306,2.7886646330307956,2.874671592377695,2.60137982728851,2.8672055823432494,2.6499453144194525,3.00224564853922,2.847160765585305,3.2375874326173055,3.512219367311476,3.1711310110821564,3.221186376066175,2.7897015034928,2.957548475699227,2.350843708923951,2.127528616055161,2.4125304945501185,1.9478785914062775,1.7601432880347891,1.5030127560632436,1.6474783176159775,1.9755653935668058,2.7045200430547895,2.5814943175514107,2.0685950945438316,1.8010754304533558,1.4930290493256049,1.5519712425267889,1.669449572058279,1.941675630996967,2.1025074297776314,2.529576132470491,2.30751988017734,1.995745768776852,1.8605326133905786,1.69686259862944,1.7217797095907739,1.5977693895430687,1.706695848710478,1.6523346074548693,1.6214702273973658,1.7167546698514635,1.6878156457654183,2.216342352784267,2.203599139998686,2.493352300058038,2.5098332450290877,2.455319943505198,2.312908668706652,2.240967653375572,2.3576233403079176,2.095111658331095,2.004492384188335,1.882336676527567,1.8385031026749623,1.7947638173255178,1.772253500330024,1.7371792125135739,1.6452260078767964,1.6729091566444747,1.6898554244821544,1.5076308593992005,1.5229427283328403,1.6575520362150034,1.640358603621307,1.495083927183508,1.5478484230735325,1.7363322565807782,1.6473035798276154,1.5423873482943087,1.5102398259669818,1.5378627547204817,1.5240365159023403,1.5021401085029102,1.5065608417580718,1.7079349799479717,2.0012273598499677,1.9853474983918904,1.9825022615275574,1.8029755424687324,1.8302291084302822,1.8608472743162112,2.072358477970012,2.0288167877188377,1.9429838073201715,2.075013669818612,2.275420193371895,2.154032016283421,2.1057135594212677,2.6108483017596638,2.505386309252736,2.3043612711246766,2.491365943578267,1.9629870295897094,1.9773526393656151,1.9724582228514809,1.8842672336928248,1.967542197685231,1.9396910908563152,2.048371499133452,1.9504411783703866,1.9487583161486068,2.06902748052097,2.053993694909202,1.8304275956536076,1.94239080770775,2.0780913809542385,1.8759558616554393,1.8024433377323885,1.9150828344581066,2.054982214401548,1.7461176557071403,1.7051983175040857,1.607843116260329,1.669656105701931,1.74048516419987,1.7353334914927165,1.6266396797317222,1.5607160743436133,1.735451295202813,1.7103009120416115,1.6296869878944058,1.7310150324588685,1.9421517535407642,1.9543620426187183,1.818111710987366,2.036178081898228,2.211631396143185,2.23622854869703,2.1002441879538303,1.8342243481350045,2.3866061804961314,2.2967709785639454,1.7537086092164655,1.5721522953114664,1.4727564945364156,1.4514358368574192,1.5789000867829348,1.4798989932159388,1.7159018152811514,1.8389279806711816,1.728004021656757,1.5241707047523034,1.682690300441328,1.6344560614657044,1.746634318211753,1.896569587106721,1.9009193843315082,2.145399436861049,2.107336647567302,2.027965083488901,2.2548947482640394,2.498567089295986,2.16230738768185,2.2355550603867727,2.4554189113063845,2.437363893256062,2.9626374248768363,3.4783625929475224],[2.558321667891912,2.4001208245232544,2.4050927568893514,2.3903204033319936,2.1864495231466576,3.1107806171781607,3.4493935270907006,3.728437794788197,4.513217134093534,4.95590807477161,5.437817926852708,5.2244013466855375,5.047869576330565,5.6576313489811305,5.790026765560741,5.425617835960899,5.364495970476509,5.531600180152548,5.5056686061301505,4.794643699694459,4.691765709542249,4.0097357574989045,4.104749092512004,3.743695839385397,3.7025928339212553,4.417898633633704,4.277619348899999,4.654467029686365,4.877867729717622,4.796392931553678,5.59161528263497,5.000463365566845,5.287927907772909,5.240866850648198,4.8572161586836895,4.854608841338474,4.335265460576484,4.099027807851357,3.4555141595593493,2.8342135868428375,2.9605522813425034,3.8301305360656,3.490768941018278,2.9814108525238745,3.1496334591212567,3.0404943840893552,3.124030174210171,2.920878800890781,2.795082640972856,3.108203807124774,2.6837930315926433,2.7636447008288547,2.5222488821526734,2.6004057203749626,2.8998757723638953,2.8588595293652435,3.0545054382202297,3.4668454596080918,3.375524009230995,3.416322539928921,3.6236630998477914,4.152058895824216,4.526773672901179,4.5910214079713825,4.2063757453454365,4.369978262400557,5.132180891652472,5.430478252334954,5.934333741453135,6.291601809855492,6.3967436301987215,6.536944350200135,6.312759397259464,5.9135017874810165,5.778233091547877,5.701902258625321,5.034425826698689,5.029646113256841,4.606815426903935,4.104614854067668,3.847045313966361,3.269275050911449,3.260016947207793,2.916719788242942,2.7053817637016544,3.3634840495273126,3.77361351083539,4.0988194400365145,4.57851984354298,4.9233000108981715,5.376876284258739,5.655978070541127,5.8517732795704385,5.796714830096374,5.80341211717164,6.08792887421841,6.0436484771352275,5.486060450783115,5.205234105083484,4.829937980064324,4.612976331192925,3.913464273102265,3.7921355718021865,3.192287589719993,2.526777341602371,2.506865211887329,2.3226225206012256,2.2669917585099837,2.2283133972214304,2.333498595400932,2.490811268470899,2.673319964447813,3.293760928835762,3.19378918493834,4.359402699256981,4.271663348432201,4.975984125076368,4.8786008486714785,5.678164855711958,5.8341496347379245,6.212105286040935,5.820098223724825,5.284647064832641,4.426347186119369,3.847180711250467,2.659498141596095,2.416467494848566,2.2347271482924427,2.182036163705827,2.1779050876591812,2.4236689547952643,2.5869338997389093,2.7175195589680303,2.293911042852454,2.3259973633704254,2.002673538644868,2.2962733771734376,1.8615506532319357,1.8677610243193419,2.2487682437731853,2.105030651891849,2.419663790614023,3.4706102717252194,3.265414907892842,3.127379569002922,3.8928754514103314,3.787890613471794,3.9160784789241947,3.455592791372272,3.8484155542984024,3.471083508014222,4.059977465938833,3.8212294118663617,4.333748409629159,4.769340208503418,4.366369639887838,4.443549048342861,3.768263017344003,4.07300599675519,3.0953189281900286,2.77734639009695,3.321405304488181,2.634111395310443,2.4858889631070222,2.1043245903960197,2.362539392502431,2.90403700093954,4.000371641494049,3.922928832344865,3.0466283493257293,2.6334793507121907,1.999521049637781,2.098572859620255,2.2369007628457585,2.6355816082334225,2.8309692739347048,3.510193897698532,3.181681211076172,2.800811978924327,2.5186097801664933,2.2597091195622636,2.246876746820704,2.2237808754294037,2.4479706685855156,2.355442060310097,2.219200481323782,2.339380568096756,2.4234821198115335,2.718216931408796,3.037433081984966,3.5249467074826857,3.372881597139545,3.566257590748722,3.430235319727584,3.4184197943866983,3.656741859202286,3.200262036858345,3.0536420382989347,2.865764024093402,2.4858839625124167,2.56632319626451,2.340507416340822,2.2651619916142907,2.3619113365875966,2.3198335558927514,2.1818245649780588,2.065287201391204,2.1529041302739436,2.155798178321927,2.070246547589858,1.9832730903704154,2.0304032139307453,2.193726408063212,2.063124147372832,1.9433043430116665,1.990181261546588,2.051332072700721,2.432661404361266,2.3437264398946085,2.2854027644448025,2.6923462629121415,2.8831745978233934,3.0331492718687465,2.784628091177623,2.7184726644143025,2.7562473861789796,2.6645806333689026,3.0770307040603653,3.140566821845417,2.9767347116394673,3.108651039540993,3.5491203445724584,3.4613884467519873,3.333300126599237,3.9054722319326336,4.0273727624202715,3.726485744686537,3.801476580894898,3.076993616269847,2.8507707547753314,2.876862718885008,2.645804684345432,2.6391350635319686,2.530560915709756,2.5789091332398715,2.5178225198923037,2.51759636007362,2.5393801662630504,2.5322070944757398,2.3430424736295494,2.4382028708378383,2.567968787125777,2.3513116638828606,2.2976159573377277,2.4173048865113085,2.561996679280515,2.2234684309239694,2.210281087087836,2.1622552311642407,2.26704840371662,2.3425970321219403,2.4750001316356087,2.355752352488632,2.259962907520862,2.5690396923645213,2.671750602943819,2.529237346117762,2.713730659491793,3.1255432465827737,3.1408788920262674,2.943792010469344,3.2922581837733707,3.594405797196763,3.5827070978099,3.400231559390565,2.9760862485213,3.5327342259003403,3.4702939488828513,2.836546688058496,2.400040397651125,2.21245184734241,1.9106720138460669,2.088314706230309,2.2504636768830517,2.7816331668441374,2.931908693754284,2.725311602226012,2.1763657989608216,2.3525022485349742,2.045230874984749,2.150630000851224,2.361897640045511,2.3728083740194803,2.636984374413212,2.6205334297670744,2.523061252789653,2.8402049922495003,3.2112813602142753,2.8006418588265682,2.8263841861397077,3.248728269311304,3.104161196483303,3.617586377002856,3.876617505301765],[3.114423617082824,2.9725751070935678,2.9773929074685346,2.874155484444884,2.737434791319129,3.5171462910282867,3.8277613967383304,4.107112782530564,5.082553441421826,5.58472896333637,6.215349521612429,5.906828840642224,5.614748835852193,6.4818035533154745,6.653587827107658,6.117105482401328,5.997473923876344,6.302916960805247,6.4009727237470635,5.474782893118714,5.522829927770223,4.705447570579134,4.972150187164911,4.621715452554996,4.408393373362554,5.14224413814683,4.746567222741397,5.104107353692694,5.384292909130668,5.254576884031969,6.39670809650967,5.552421307478915,5.948769810614125,5.93271963078714,5.4203400609644845,5.431134049149503,4.724712961240184,4.48552310435145,3.775097053900405,3.272575615523885,3.4183909355842994,4.333921943981513,3.9760643229856316,3.4750250718927753,3.6960426874070302,3.5333204485622947,3.641680465261789,3.4296842176895344,3.3298844084116,3.7942099305341284,3.31094205461273,3.418009364516434,3.143511503034927,3.1669728872071397,3.3798937492348395,3.361046893838436,3.526091457379575,3.890391083810471,3.843695033207198,3.989072812803646,4.250767985091156,4.854951317481034,5.253127243937051,5.486252915527261,5.019688340074616,5.073542612614708,6.107755232034782,6.336414737847773,7.082087808844198,7.443279324317279,7.746738212025638,8.088948850035353,7.659291140991064,7.176464901980274,6.831345612169248,6.718878465892861,5.871297265318407,5.829526974066363,5.245096887401797,4.633341086009819,4.265356841903221,3.644654695915529,3.6434159449843064,3.4085180321579314,3.1409349186797484,3.688497307227124,4.176253294554458,4.470539195701602,5.154462612910615,5.5685994145402535,6.191466233163282,6.647349710763868,6.849617943518556,6.707183438725083,6.686391827055017,7.115135951595972,7.033385079054829,6.225698693809835,5.8393019606643355,5.383254025343515,5.063497202942334,4.259303928220211,4.090034678288088,3.50820839478148,3.1012094085279265,3.1151787430529554,3.2705066767477087,3.5491463388307105,3.3521458978079153,3.1050162588968604,3.0977693141660336,3.084776143168092,3.5999626584429683,3.426270757868189,4.705329991141783,4.5325870165987165,5.39255935556703,5.160857333034068,6.556446179503073,6.6608470823464865,7.119791889956411,6.616832292299404,5.8710351932624825,4.873051466227066,4.245434446064262,2.9425522825671764,2.8926978436897266,2.876111531236593,3.152348856873418,3.2526746053058857,3.9759188132927585,4.2770262707568625,4.498572354084704,3.7139093007293567,3.8326718043740846,3.01299776070736,3.7363865712761255,2.7784373484171083,2.256966000583683,2.4686966590640504,2.274976393976354,2.880692269367537,3.808941067147129,3.4119942141237685,3.394890496787019,4.142701885207283,3.971662984495169,4.147271771408786,3.702712618416793,4.169480274500931,3.799718013792694,4.463819447641665,4.209459106107506,4.814984285306979,5.303601799923762,4.8081276052195685,4.869741449829865,4.083852147849909,4.38614557838007,3.3933509198189604,3.0875268729528633,3.544256726951255,2.914556830221988,2.936848063309047,3.1253319356516536,3.6394962727428273,4.567118934748628,5.913638709403074,5.958493027708842,4.722855702944109,4.256546548647495,3.0779105941616023,3.063293895518264,2.9298760808542363,3.0579210275217634,3.2267709885329507,3.7963625735521176,3.527883172306355,3.1898387592204283,3.094091761218356,3.087055424340159,3.033107217534184,3.562246942027196,4.015523169665581,3.8148279012046262,3.2836629427535633,3.034929151627843,3.573016174092641,3.650397361643308,4.42658735508311,5.1204350078109915,5.005615586813229,5.467383252630672,5.396447441859955,5.447634528314943,5.7456252700201516,5.112669846970176,4.916678155139267,4.614302215338512,3.951542725159234,4.116169176121725,3.595824047114891,3.436540337374156,3.756494322439991,3.6328428324043514,3.1891290341908656,3.1743894502838734,3.385735724735162,3.1622341658409034,2.8783404139126976,2.918987965327585,2.954458228696523,2.8685359241118813,2.7253071807335987,2.7367708360474774,2.8772417882154375,3.0791588442487545,3.7533474259688693,3.6935295785608373,3.624090443046386,4.24488316074617,4.337964722806571,4.704822110745639,4.245943874241617,4.384205352836192,4.463556860747852,4.285596074132402,4.8749167802803335,4.968995673367847,4.748862457790926,4.911226320843247,5.523063779862694,5.432437608594301,5.261094790510347,5.885795005721316,6.1094483462113205,5.71062455734239,5.785550294712429,4.897751446224869,4.534291168539901,4.620559298615382,4.186586175714101,4.031276953514426,3.8179793953423617,3.716517018481866,3.737312262378845,3.6831277039512766,3.4841328256214075,3.403265672907403,3.3457224419017217,3.2635931359480144,3.2503476991579734,3.1250012446005906,3.203707283749236,3.157505942337595,3.1992443906971193,3.0539515724196926,3.1443824954051847,3.258309337476697,3.4638083858246187,3.588202917224967,3.932924449230226,3.7624930181263356,3.633874645886834,4.1188158777618655,4.2954962579888845,4.071524611493474,4.346401287926109,4.919816003370619,4.8722295927000046,4.605555728561773,5.125958158006656,5.466981458762345,5.376041369540366,5.137617482763,4.524958150933761,5.065916880576345,4.8884057920092605,4.221932342655391,3.5404028595287214,3.3981678088567735,2.7770913032280533,2.9457635412500918,3.393131772117099,4.138929636900303,4.401994153794697,4.253924422155695,3.4515021706156865,3.7411871176367364,3.014452083844843,2.932027571716504,3.15433351663114,3.173425257523003,3.2874441354104595,3.1897144323655926,3.114092794139671,3.3657716696291975,3.70109183185045,3.2832925174350125,3.3453176791357238,3.764518987289158,3.5760178970344083,4.173889459177869,4.188121961654401]]},{"name":"Protease-ligand interaction","means":[[40.202559139592985,36.90361032047482,33.052337881572996,30.16074995191093,25.191496090606,28.59016793108318,25.31910594950279,26.609919055124884,27.771347586911226,24.443193482118822,26.712466594123494,28.519454809340715,22.796601903390812,23.82730191180539,25.415722048783326,23.60322982076751,19.41916225519615,19.902727402543334,18.350634166608145,17.070608035285247,18.334464764883414,18.366472610803662,19.21476523380133,17.24457844746072,14.117629511240203,14.100103604101111,12.167605563680668,13.538555704251012,16.981891421667598,19.766711287175273,25.17568092136486,25.05887471361124,29.238486435125175,29.276698669968226,25.064676835869914,21.398004722818285,20.584519492921455,15.44459360291992,11.982634916032637,13.516908314308678,9.476182247122361,13.89210247986796,16.178678097621837,13.42187098431787,15.197038147378372,13.931317306670104,17.28349573013226,16.19593725602653,11.886523782481783,15.009408700774834,17.373477029100254,17.401574155104928,19.731266650800382,15.752327585187622,22.131019041547887,23.14553344881077,19.818050715537066,21.818696811760468,25.92139078105402,24.14467874788248,22.197719569896105,26.343300905812306,26.872946724824832,27.967328485067327,23.82309989272644,21.671726601781998,22.515778566413438,22.59669371895801,22.807069308340125,24.91247039072784,24.932612192131597,28.53876961646459,28.370303324275,27.30676761006479,26.807598766930415,30.777005276435002,26.343917807899725,30.04399003208594,26.613498880873077,24.41554030411191,23.310584107021803,19.748466865456145,20.896493417080475,18.194716328915423,14.005567996642803,16.469662982741355,17.78297942272596,22.23320409210445,22.0137764954088,28.058610906764397,27.60144427317352,31.938719083832165,31.265494821066515,31.329001525392517,28.736626242181874,32.082792142702104,29.922398371959115,29.739540652695677,29.21153108097144,32.715633772528776,27.875976652066175,28.07454465157839,24.046686934259935,24.07917327311465,21.334946128480013,21.23532350096617,24.120038486984377,22.789470990005448,23.854142310069392,24.306391016572707,23.623519351973346,19.353290681710924,21.002725661803282,16.917884987782134,17.782697623159578,15.412269112109692,14.845651686757979,13.172144764532174,16.076787241258828,18.071858972673922,19.030520804184434,19.739594919976117,18.188869720377628,18.716797636616384,20.820883760593524,17.380829070014382,22.17572249248277,18.639198048080644,19.794544715247635,18.299356087427988,19.248244756479686,20.92845712348408,16.945706313625234,17.563004992240234,13.907207515452633,13.475116165323561,16.239703830339177,13.122943513228643,12.8548146990508,9.759493470761162,9.723399960590118,7.180320262861422,8.849891422199228,8.600084585338799,8.075056084861217,12.218946967332732,12.493348036880393,16.190056421256514,17.94932248179349,21.831373221809034,24.6826134684629,28.52237050256966,31.47251207642442,36.18514529990528,34.17239292612087,30.567145731056826,26.748790800404166,25.336788092824786,22.173448858214122,19.94553114108386,14.145288851337366,13.396082101858315,8.377956959210684,8.617368944746236,5.290044822765264,5.064209392308082,7.92598604243109,9.613154103433368,12.25455734316762,10.230353863153741,10.573239562884485,8.955331961656634,8.901365354307181,11.382045978933961,13.947047132068587,18.083209686016286,18.939681515750195,21.856310987280622,17.14525613158386,18.379001958528132,13.169155300086546,16.267560754084315,15.852685278299177,15.4460261526102,11.897169687492033,10.983908571722454,9.483438577715953,11.373413388650402,7.9541860002531894,10.754355590602417,11.260265388824498,10.240978338457156,12.878802253211479,14.345429846317755,17.38648973217321,20.965229872207257,20.515177588629864,24.158715698081373,26.439602916015474,26.26005355653587,31.1741658044166,31.3480048557397,28.481343738861014,31.22727891222464,34.92567643064442,33.51304119818728,32.08162125858762,36.1922925378137,38.83328893007455,36.30083220595233,38.070941185018626,41.48098207947656,40.45495319735625,39.42950374739835,42.97946082477858,40.928559879257406,45.19248740723585,42.219252611199465,40.92534780565808,44.43768466789128,45.953997981600295,50.71370745158511,49.268797250229326,48.24592521209915,44.626175973792634,44.594502345190705,40.539714491925594,42.26737497689811,43.33545644589202,37.76844286362493,37.001583892450654,39.518761453382076,37.44206657478946,33.67560590369228,33.393009249462345,35.67967871516926,33.803324484086616,27.989692705473953,30.091127550221163,28.76701674145618,32.31146428416062,35.27604626978368,35.81526939315404,40.38121329911214,36.67521628569702,34.036390828439316,39.42853449120811,39.774640864589564,35.49627534389168,37.22259281983857,41.13030358271837,40.49825913637576,39.015361459564254,43.2508752428123,45.15847126826787,43.2433762194557,44.23778723042382,47.15894321804516,44.88714412981081,44.899923819105986,41.342474434814086,43.53068351002008,45.30495594741014,40.16277798602036,39.6694261874215,42.575744964234445,41.284070688715445,36.69950839536593,40.71203602812025,42.44386849547553,37.76935428477765,35.763720044122145,40.7219275471166,41.40927325701389,38.16258056511421,36.062620218413414,39.31733479092466,38.01546493324904,41.128869314617404,37.39843592606279,35.91978565535339,34.54723688749933,34.24884026822993,32.20206304380595,32.62665165154479,29.574885813790893,30.645435231955172,26.688496165107136,25.09068811067431,23.033341236459737,28.010225071794448,28.823071640342583,32.628969305457964,32.03499334703552,29.376304697623908,33.707381236949686,36.04344072197915,31.646750288185558,33.57992387667022,37.905428055047075,38.839381833877475,38.85855120861599,39.09542002327829,39.56528227409364,9.859439184600085,12.997893800050226,17.5888992557704,18.06044625208164,23.51493775332201,19.39699619198774,22.92174985353068,24.241563658481873,23.60040985209792,27.519372808203187,28.794914427844223,29.43892553269698,32.380476895229236,31.37637110581202,35.24078659113089,36.87258667459715,37.28282137804848,41.803469093918956,45.18224189109547,47.35114857242332,51.0327525341713,54.730177590058645,56.002292387495714,55.76552045772749,52.86937109950655,48.72451419314377,46.24660949858182,42.07769314879659,41.723691165710854,39.99910839251601,42.29441491896984,40.627489972967034,43.00320674867469,47.566238635249604,46.202454561021895,45.81372634651311,44.19439427767204,46.52184349592366,46.71171645332971,52.2775898811044,50.047960069103596,51.1929676231253,55.251407784677866,55.75180083746367,58.02599360802748,57.99146182194987,61.727425541838244,60.36363416111311,56.556830067923386,60.639401761221905,61.60108671088931,60.7149041798083,61.495305670813195,57.089281525013156,60.1942760369255,63.75319209186252,60.65276198000099,58.4338216776361,63.15780638748581,64.69180470949445,59.98231348587447,60.767777729387916,57.949444492891956,60.31774811587802,58.814909325244514,54.71899990588077,52.00191330033073,48.19087341878438,46.26037105805709,42.851696630226854,42.81811235664788,44.60790076770852,45.793149650747566,49.90593794489405,48.49786814944047,54.36841610800124,53.69430046213489,55.29137836688941,54.727672218906235,56.46161800983522,53.603738047738496,53.71108867397901,50.32631954392146,51.541078774042425,49.665666990834744,47.76779426498928,50.29170200593599,49.53253549935494,50.181194548525475,51.510030113022474,49.569443119978516,51.79224495781582,47.88015549084646,44.94261465426783,40.55040718773145,39.84644119019642,35.969923174371786,37.72033940242912,34.56048179919269,33.45850940550858,37.92257947276335,35.9779589017244,39.98335228794082,37.371320252406036,41.58808508037364,36.755657013228905,37.93412990979625,38.09829208655307,33.70741813064254,32.87346934412727,29.13348414673661,31.63240130669791,28.50598657502456,31.33197452626392,32.211557940775016,33.810143098341754,37.25874935774591,38.92544693757964,42.82055925079311,39.964091822591314,37.3939230798692,34.036202074321906,32.92949579314696,30.3487115873122,27.175429784758258,29.827526990296228,26.39588648095883,30.623500944152457,32.330301422134035,36.74063192176302,36.69150335633367,40.040196641808315,42.46198374935645,42.42347641176366,40.2690405722216,37.00012394407277,35.04581995410747,34.967111430560415,34.62740134546545,37.446856173653934,40.33952932629142,44.91946329473271,43.56801847425761,40.84766130956963,43.479626134272785,40.95398663335654,38.010366613599466,35.745673981841286,34.07755199902793,30.114909142635675,29.329113978299212,26.875698043617017,29.204923967484614,25.66901526638777,28.75329547075751,31.52310472571496,31.959223473876932,32.74048432236426,35.461813558944726,35.57465531859651,37.753908724415744,41.05517833892969,41.091668619045514,44.967576543047635,45.79815865649939,44.13417237478272,45.489821957721,47.64641544549245,44.30587392130279,41.548735212994764,40.995953575680886,39.65030001205078,42.49913303428453,42.92326863897144,43.323514673246,42.685370843569984,41.39927288058331,45.606181141800064,46.79574082463521,46.996776115450324,46.58832794889171,41.78771457985843,46.54632393091779,49.541737603206705,47.915373021392476,51.53095117813024,50.43957796522422,55.02856883724806,54.413633469408616,54.52116160065336,53.548889415310754,51.542739424518494,49.82101897379607,46.99241160761576,46.223828043421584,45.32266826618812,40.48173881208234,39.96551777534923,36.25143604863242,34.20107187968011,34.42240846514746,31.882149804788323,29.694977863373566,29.84189158500765,29.764534594795663,25.630377794786874,24.787946969261775,26.1663240311411,24.896871947319315,20.238011157068385,20.90222288211654,21.193545700684098,17.47543949397219,16.104011345493124,18.778251897309932,21.294996205612435,23.225059701152013,27.741840847064314,27.806211833230776,28.673492252751686,34.08467765617222,35.30957325939832,38.80705681581,39.135028533955385,39.36794888312645,42.0967578851661,40.644001269004114,45.37637369634219,43.999347072765175,39.23163949277529,42.589841371845566,46.27631990269476,42.663302315964444,41.42195726947948,45.511713468201584,45.69331464892377,41.46999195944403,42.23168837256981,37.50847114365372,39.58703072305603,41.13358403570226,38.121116254236334,39.544944265946924,39.805288937405045,38.12339868577336,35.60962423631417,34.53301392619507,34.13418728139505,31.15941155920945,29.273168152273787,28.508648515818603,25.929370083607964,23.953154246292833,26.885207892602633,25.1197701202597,20.475008433776907,22.780836196326142,26.091890913138727,27.150616389764412,30.896431151949564,31.939385994473486,35.818413003801645,33.091334085099355,29.575611630579797,34.5004355077595,35.34395693375951,32.292527067385365,33.47668023633972,38.689195659839456,36.91373224942711,33.374836110135405,37.290762334650346,40.74741076000247,38.40280076356697,35.70237588433955,31.496900354246137,35.159336249086074,31.535142592552813,29.29976491295841,25.5936865570181,24.913939850400233,20.807892366613896,22.722826832617912,25.784490409350283,29.41588328408755,30.72335847817476,30.433998730369158,28.165334723837447,31.261127607458224,28.440748145605408,24.422095626460983,26.781350191335267,26.030252910111347,25.30933436445944,23.192274060306417,20.59173044537288,20.183358915292278,20.20345509663,16.28349359709958,15.806682734762694,14.696008963118834,16.117758593950384,17.407893469458926,17.68348858142532]],"stdvs":[[0.7176975203375858,0.7004430510075642,0.8291752661983457,0.6611884194057117,0.6573120200894182,0.8238412452844908,0.8308201087921554,0.9736495277618364,0.908707697948642,0.8997210282771851,0.9743023103525613,1.078141037855722,1.055910384832139,0.9611023903190165,1.1208623141162417,1.158770969830557,1.133530570622803,1.1385927068640085,1.1134958952748333,1.1559212648194415,1.1651864508769243,0.9029409215455563,1.4798596285320387,1.3959626533428453,1.293806288789255,1.0521738664622124,0.8755326322414815,1.0705756406835212,1.1826869423369601,1.1889794950726547,1.1932756300849712,1.2058209335328456,1.2319773212360563,1.2166529208861285,1.2142964405731715,1.205273302419855,1.2264170280106386,1.1763268610686006,1.2271218686563286,0.7814341801917709,0.7303542932966763,0.8833837410124961,0.7166385164326986,0.7435369996109557,1.2683565400235888,2.4023007556204763,2.5030293521842313,1.5013980334370352,2.1991795957323177,3.0601164952421946,1.5669501355827125,1.5794917596496922,1.0178049136046734,1.0853712933160824,1.3079382768681902,0.8793590097053092,0.8177134721956596,0.9494116083913807,0.7478586510432736,1.2820136053530211,0.9615949387945105,0.9743283584771036,1.084953549689698,1.077793576883673,0.952698429549271,1.088199634729967,1.201701672065783,1.157484387829529,1.1455208372135284,1.0937351029001392,1.1779878204787206,1.3156755208997635,1.1359743067782517,1.2034383152399555,1.1942895909511426,1.231327680743754,1.2101810125814392,1.2202937960501317,1.24558322044955,1.2095998453643244,1.070302972546363,0.9475002735077742,1.1435953907803957,0.9625474508972763,0.9597302532533776,1.173144486307384,1.0845235436877272,1.0941932974353055,1.185425787343421,1.207203080885937,1.2166572918717338,1.196859030793079,1.261902985967134,1.2271789334097245,1.1673636142913313,1.1802598835664928,1.18519669591437,1.2192227600744945,1.1831621006869555,1.1640843332078967,1.1850669876000983,1.1418064228511693,1.2116960642958088,1.1386471716415894,1.040916843035895,1.0556026441394135,1.2005450730341032,0.9329421315588986,0.7484819369491008,0.9553523270176631,0.8055847545584652,0.8936824493976043,0.9219086467599373,0.8867301872600484,0.9161471865027668,0.804662681685893,0.8637109088094697,0.5870680500324565,0.8086468665525116,0.9467149715984645,0.7962583882677489,0.8189858536646218,0.618032315742746,0.7013828705485742,0.7677434470923076,0.7890819536581425,0.8957091655964163,0.6944705680638399,0.7046767438026709,0.7769670589951998,0.5864235156753886,0.6945387927169046,0.6779560112013949,0.8083354106927629,0.6578797485027678,0.6483001802015412,0.5808417377955633,0.4883965581009312,0.38250898566046787,0.49926724628945823,0.486515531846252,0.6365486658844544,0.605723152538766,0.8266777107776101,1.0417342864619574,1.3008827013771391,1.1382427340223988,1.0987133972158625,1.0797790354961343,1.0813262442336096,1.0314319861622843,1.0682549073253358,1.2604752643951445,1.2365235898693197,1.1946042594623771,1.1317584766271422,1.1310046801095501,1.0904665043369566,1.136504429113603,1.0868117421787313,1.0324611807243012,1.17320081991706,1.0057918478213446,1.2558668957403971,0.6092135771754205,0.5452500819142144,0.5623101632720904,0.8458027635677295,0.7144023418757107,0.6546950989599619,0.5303972744118947,0.5563128938566723,0.8830973051352068,1.0845481497622782,1.1445670881026178,1.1362698431489873,1.1923624100729346,1.127715218975596,1.1605381167532145,0.994302945471689,0.9189279568832339,1.028872556431921,0.8762476167604174,0.7451880270769744,0.7758377819538478,0.5556947611225984,0.566497193096005,0.6111578486002474,1.8876659750511817,1.0056844733309185,1.1654035216833514,1.287484506138091,0.8642306655138593,0.7376295040955995,0.6750295441007901,0.6332603059481496,0.6028882422690802,0.628802991842653,0.6091017293510369,0.6418449648518479,0.6367084819376143,0.7080283866304727,0.6385795215024146,0.5789409454014472,0.6005525860367177,0.6433459838983939,0.6287788953192561,0.6055360962639311,0.629474056541006,0.6834131183394666,0.6812460164198846,0.6753970512987991,0.7114245044369577,0.7852940110663154,0.76146693905274,0.7714749923160206,0.7830778372144904,0.7913902522835784,0.6713564852988343,0.6617550126686077,0.7132960890467763,1.478822650875981,1.2017517592086742,0.968515047927472,0.7803371184325854,0.8263026726138543,0.8629496280736557,1.004332141033946,0.7808412885485019,0.8820316364132647,0.8295291868296155,0.8890621904282628,0.7457536972624416,0.7540724930702879,1.3618994977825156,0.9878561335715128,0.8414977271731516,1.1168166218762339,0.6311726564716104,0.8418933885146572,0.8537315153321753,0.8690567312732023,0.9870973812249664,1.0439682862190323,1.1383847454057088,0.9293006719852993,0.9116205359625086,1.040399565780826,0.973562833734241,0.7787446615421642,0.8446027329180136,0.8775171225845478,0.7322948425062397,0.7390513554738374,0.7926461603832857,0.9300053740851969,0.6783895434718338,0.6585568794687346,0.6409616321004018,0.6805081847697861,0.7366056421831835,0.7344552237155336,0.6458429993295522,0.6054151960908595,0.6446222014211587,0.6098397515801434,0.6177399781676132,0.6207121316349217,0.7143768661972302,0.7553765080520917,0.7107544788901023,0.7133751954494593,0.9040333488138643,0.9536284732703523,0.9312215138358676,0.9420832323159825,1.644585580142161,1.6284490093758999,1.0606631830675255,0.9532635879530277,0.7791762096324257,0.7918260786227288,1.198351627144417,0.9500605748870381,0.9549819671893343,0.8704023987924786,0.712556805080653,0.6199530045243442,0.5544059769938443,0.6162057779927556,0.6775993739214305,0.7593851715130507,0.7836769547861248,1.104517839485989,0.8098585157305517,0.705069989091148,0.8865413379612285,1.0726406646925943,0.8497672776532041,0.8678286984704054,1.270515381136197,2.515272684850115,3.780533520959694,5.001762145604394,0.6003349554945974,0.5057630302871616,0.7457700004301016,0.4181446119662904,0.4723025203270203,0.5795552855010926,0.6313421877966543,0.6185542601729893,0.7245122331783329,0.7948561837809707,0.8531468049376981,0.8444750815316465,0.7795932102466279,0.8736847710559008,0.9833839260285496,0.8625253892198516,0.9111375913731554,0.9411525883712097,0.9767478483007578,0.8957284126078413,0.947465762473893,0.8936177297759988,1.0008150329304601,1.0324386219238022,0.8912075371264898,0.9141032679664423,0.837341203059159,0.8447028849016603,0.8519733899835416,0.8046101809391738,0.9146494921394821,0.8615660611634487,0.905214244364521,0.9271946233989526,0.8593239782098182,0.8297422230635398,0.7849175250584807,0.7586206686166008,0.7343048832457957,0.7401154536562711,0.7771704564125436,0.8296054250529851,0.8086444485178921,1.0733639686048946,1.2096265020243364,2.1186482719576136,1.7986173509541927,1.1997464402599116,2.3161715024838845,2.360132755435214,1.4393556467351212,2.1378852506478547,2.005226482299916,0.9495908897934566,1.2737822969816142,0.9518081444419694,0.8227899823382814,0.8259375780045635,0.9769733667656689,1.0256180991466923,0.8532159518894693,0.935115489585103,0.9420871803771327,1.091231965267261,0.973032438768557,0.8884336758973312,1.1320623717638456,1.035557615138854,1.1185891903428562,1.1041294028167215,1.3063501710280785,1.5502213735367352,1.233216409376336,1.2268888021856161,1.0490073094152863,1.2267579209685189,0.9537193241188039,0.9327582693656552,0.8678482309000377,0.822703432076984,0.7879969067499889,0.7549480564226856,1.0290179691618495,0.7494483218500095,0.6445977569790764,0.7013958006484421,0.7653874479004826,0.8462390330360697,0.843454013164562,0.9478574194000712,0.9236167499556368,1.0235279684582914,1.004491444590781,0.998036142097549,0.971007609246277,1.09557845188261,1.0589061839099843,0.9232133654527204,0.9026860913023902,0.9112384341910253,0.7923577030720033,0.8339844154855326,0.6952337799306757,0.6873672078734355,0.6850354969138907,0.693469037404642,1.1339359543004477,0.5951941726277649,0.6065610687823074,0.8651244662388672,0.5766698252705109,0.5429657314090371,0.5846460221190386,0.6461979054459123,0.7757092241449448,0.7749834527061837,0.8946387184619687,0.8369436998029487,0.9675137549819426,0.9551631526173552,0.9485551240745673,0.9205085389976164,0.8936086193629821,0.8106921946332859,0.7432096756077298,0.6597131702716956,0.5806525640633463,0.5723841421383028,0.5670359590880395,0.6249895274958762,0.5832322810116858,0.6627558119846049,0.6046213639143971,0.7056398464656742,0.6393445898249528,0.7573850381366712,0.8333812774943097,0.6727056992989225,0.6693327786871744,0.6687789900654901,0.8334216924212428,0.836118733383685,0.8148801489705154,0.752522856980623,0.6932961059634097,0.7639852968603528,0.7199413021463827,0.7413964081310196,0.6264247339702369,0.6538921313480593,0.6332848109343121,0.6849306453584278,1.0245921956289519,1.3749784373094072,0.9713549383555554,0.7762886389743072,0.7628375374981753,0.6853478696515776,0.7118322623272876,0.6713256687147289,0.6359578542280127,0.6772203078776305,0.6940270252112476,0.6356897935806252,0.7827289898836866,0.7078261150579234,0.7519729611202522,0.9179368093962383,0.982302436553995,0.9551063798672398,0.7510987070219782,0.6989215448638287,0.7072329690261113,0.6504529155050734,0.6283340047215573,0.6325934554079737,0.6865790890255502,0.8875496190540804,0.6550697522594214,0.7286921693560269,0.6137449733591365,0.6443634049673479,0.6273222003962152,0.6526980351449034,0.8131125754184559,0.7018736116970722,0.6631409933785724,0.8797231101655328,1.1982438795648234,1.2220478436919302,1.354619556355316,0.9971521417847572,0.857092539857284,0.7883522309130588,0.6507897773094741,0.6370772885365878,0.657220704274171,0.6071338526746338,0.6115748297706135,0.668429536089725,0.6799797946674141,0.7345935292962724,0.6401097636667665,0.6713235943586486,0.7557240969315487,0.7114013240124197,0.7350025810528159,0.8032663515741012,0.8755811984901731,0.7502160523574315,0.8403884009151118,0.9708721695516604,0.9203989220513115,0.9029701559531061,1.0982199472774798,1.086742951180906,1.263769216759793,1.2994860187371107,1.0288197416796496,1.1150973687777106,1.160260133723391,1.993321677285377,1.4082187034264242,1.705963565601789,1.0259188132964998,1.0118867882895042,1.0165293029131124,0.9262125107883853,1.0829559268664202,0.8361687092228693,0.8882660133160168,0.8713851046148956,1.007814724793787,0.8259288408588118,0.9634036320625655,0.9994886037924312,0.9840344249398593,1.008362027397992,0.7402348007649223,0.7173133191749925,0.7210375371481448,0.8279097218896493,0.9025835609306405,1.19836725563289,0.9854204607426946,0.8978811884127967,0.994949267915759,1.0858881868690118,0.9559995902881212,0.884583952916759,1.0776321086607763,1.1227516989193829,0.9374903009572274,1.08500240373913,1.222803891122927,1.148604006374322,1.116800794307842,1.213397045705889,1.0989636663526134,1.0654296708045923,0.9507729215580145,0.9940783787958756,1.0771761730224283,0.9316701755294454,0.8461625397971774,0.9518085300856839,0.9714707018321943,0.840557860190682,0.9311150012002356,1.0910958465191376,0.9902605922547972,0.9523675640456469,0.990589726833927,1.2771487843441722,1.186346268568785,1.1682057965177366,1.308031642089575,1.3299705940129671,1.6754066578736078,1.1842472941445557,0.9748825645721594,0.8508008540626177,1.1758063472127662,1.0909558154715213,1.1150168391620907,1.0291979216780132,0.8883245750435586,0.6800758563528188,0.5826927577045903,0.5520668741545369,0.6728474771276199,0.6250761401632264,0.7250711370405827,1.3161146505060493,0.6334371662322507,0.6770619728914296,0.7996057765363691,0.848089142683122,0.5424161169458728,0.7829492455406546,1.4376487407378808,1.4441935921243745,2.1914544794582187,3.1466360850788844]]}]}